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S Wig Du. 3.3. H... . H in». NH .3. A H mm . . w. n. - T LC. 1U. - y P. ,.. ... .. 3 0 3. fl. -..... . . I / .. o . . _ “Mum 7N ZN 7 N 7& . 7N. ZN 1-7.17”... ZN... 7.N .7.N 3 . NZ 3.3 N7? NZ. N7... Euggggflmwfiww/%mm w . ,..5.-H..-.-,3. 1.14.4Nz.\.7.§7.N.7N¢N4N§N7§7 . 7..-.7 37 .3 .33....7. . fl _ 3 _ AW .n......u....,...i.,...3 3.3.... .!..$.. . .findu...ui-..un 1331333. NICHOLSON’S DICTIONARY OF THE SCIENCE AND PRACTICE OF ARCHITECTURE, BUILDING, CARPENTRY, ETC. , ETC., ETC. FROM THE EARLIEST AGES TO THE PRESENT TIME NEW EDITION. EDITED BY EDWARD LOMAX, ESQ., C.E., AND THOMAS GUNYON, ESQ, ARCH. & C.E. ILLUSTRATED BY UPWARDS OF 1,600 WORKING DRAWINGS. VOL. I. THE LONDON PRINTING AND PUBLISHING COMPANY, LIMITED: LONDON AND NEW YORK. '11; 41.4: EL. NA 31 IV 5‘ . fit“. ‘ l 8:: *4 v: I LIST OF PLATES—VOL. I. efvv’ To the Binder. —The Plates may be bound up in a separate Volume, in the following order, for greater facility of reference. If, however, it be preferred that they should be bound up with the text, their proper position is assigned to each in the following List. ’ PAGE 2A0: Nicholson, P. ................................. FRONTISPIECE. Conic Sections, Plate I ........................................ 190 Doorway, East Cloisters, Westminster Abbey, VIGNETTE. Constructive Carpentry, Plate I. ........................... 194 Details, Plate I. ................................................ 1 Do. do. Plate II ............................ 195 Details, Plate V. (Acroteria, 8w.) ........................... 3 Corinthian Order, Plate I ..................................... 204 Details, Plate II. (Arches) ................................. 12 Do. do. Plate II. ................................. 204 . Balusters ......................................................... 25 Corinthian Order, Plate III. ................................. 204 Details, Plate III. (Balcony, 8w.) ........................... 26 Do. do. Plate IV. ................................. 204 ‘ Bracketing, Plate I. .......................................... ~12 Curb Roof ...................................................... 218 l Midland Great Western Railway Bridge over the river Cylinder, Plate I. ............................................. 224 l Shannon, Ireland .................................... 63 Details, Plate V. (Letter D.) ................................. 227 ‘ Narc Bridge, on the Waterford and Kilkenny Railway 64 Descriptive Geometry, Plate I ............................... 244 Byzantine Architecture, Plate I. ........................... 70 D0. (10. Plate II. ........................... 250 ‘ Do. do. Plate II ............................ 73 Do. do. Plate III. ........................... 262 Details, Plate IV. ............................................. 73 Do. do. Plate IV. ........................... 264 Carpentry, Plate I. .......................................... 83 Dog- 46‘5ng Stairs, Plate 1- --------------------------------- 274 1 D0. Plate II. .......................................... 84 Dome, Plate I. ................................................ 282 ‘ D0. Plate III. .......................................... 86 Do. Plate II. ................................................ 283 Do. Plate IV. .......................................... 89 Do. Plate III ............................. 284 Do. Plate V. .................. _ ........................ 9 0 Grecian Architecture, Plate I. .............................. 303 Do. Plate VI. .......................................... 91 Doric Order, Plate II. ....................................... 303 Do. Plate VII. ....................................... 92 D0. Plate III. --------------------------------------- 303 Do. Plate VIII. ....................................... 94 Do. Plate IV. ....................................... 303 D0. Plate IX. .......................................... 99 Eddystone Lighthouse, Plate I ......... ' ...................... 345 Do. Plate X. .......................................... 100 Do. do. Plate 11., No. 1 .................. 346 Do. Plate XI. .......................................... 101 Do. (10. Plate 11., N0. 2 ------------------ 346 D0. Plate XII. ....................................... 102 Lighthouse, Plate III. ....................................... 347 I, Do. Plate XIII. ....................................... 104 Do. Plate IV. ....................................... 347 General Plan of St. Paul’s, London; and St. Peter’s, Do. Plate V. .......................................... 348 Rome ................................................... 119 D0. Plate VI ------------------------------------------ 348 l Centering, Plate I .............................................. 138 Do. Plate VII. ....................................... 349 g 1 Do. Plate 11. .......................................... 139 Do. Plate VIII ........................................ 350 I: Do. Plate III ........................................... 139 Ellipsis, Plate I ................................................. 366 3 Centre of Waterloo Bridge .................................... 139 Do. Plate II. ............................................. 367 Chinese Architecture, Plate I. .............................. 147 D0. Plate III. ............................................. 368 Do. do. Plate II ............................... 148 Embankments, Plate I. ....................................... 378 l Do. do. Plate III. .......................... 148 Envelopes of Solids, Plate I .................................. 388 l Army and Navy Club House, Plan ........................ 173 EnveloPe, Plate II ............................................. 388 5 D0. . do. do. Elevation .................. 173 Details, Plate VI. ............................................. 411 : Columns, Plate I. .......................................... 181 Frets, Plate I ................................................. 434 l iv LIST OF PLATES.-—VOL. 1. PAGE Frets, Plate II. ................................................ 434 Geometry, Plate I .............. ' ...... . ......................... 4 42 Do. Plate II. .......................................... 443 Do. Plate III ........................................... 446 Semi-Norman and Early English Examples ............... 464 Gothic Architecture, Early English Examples ......... 464 Do. do. Decorated Examples ............... 466 Do. i do. do. (Buttresses, 8w.) ...... 467 Do. do. Perpendicular Examples ......... 469 Centering for Groins .................................. 479 Ribbing for Groins ............................................. 480 Handrailing, Plate VIII. .................................... 489 Do. Plate I... ........................................ 490 Handrailing, Plate II. ....................................... ZgI Do. Plate III. ....................................... 491 Do. Plate IV. .......................... '. ............ 491 Do. Plate V. ................................... 491 Do. Plate VI. ~ 492 Do. Plate VII ........................................ 492 Hinging, Plate I ................................................ 495 Do. Plate II. ............................................. 496 Hip Roof, Plate I ........................... . .................. 498 Do. Plate II ................................ 498 Do. Plate III. .......................................... 499 Do. Plate IV. ...................................... 499 EDITORS PREFACE‘ IN preparing the present Edition of this Work, it has been the endeavour of the Editors to improve by enlargement, rather than by alteration: the former Edition, indeed, had obtained so high an estimation, as to have become an acknowledged standard Work; it was deemed, therefore, more advantageous, as it was more becoming, to leave the greater part of the Work in its original ‘ condition, more especially such parts as related to Carpentry, and subjects of a kindred nature, in which our Author is universally accredited as an authority of the highest standing. Some parts of the old Edition, however, had become obsolete and out of date, and such it has been considered advisable to expunge, or modify in such .a manner as might make them suitable to the more advanced knowledge of the present day. Amongst the articles which have been expunged, the Treatise upon Algebra may be adduced as an illustration of the principles which have guided the Editors in their selection: such treatises, besides being cumbersome in a Work of this nature, may be studied to much greater advantage in books exclusively devoted to the subject. On the other hand, the articles on Bridges, Strength of Materials, the Orders, and such like, will afford a fair specimen of the treatment of such subjects as required modification or enlargement. ‘ As an illustration of the new matter which has been added, may be particularly enumerated a. series of papers treating of the history and characteristics of the various styles of Architecture, which, it is hoped, may prove an interesting and not unuseful feature in the present Dictionary. Besides these, many papers of an Archaeological and general, as well as of a practical character, ‘ have been added, and a very large number of Definitions introduced, which were not in the ‘ original Work. Amongst the Archaeological papers, those on Church Architecture and Ecclesiology in general, may, it is hoped, be referred to with satisfaction; while those of a practical character . 3 may be fairly represented by the articles on Roads, Sewers, Cement, &c. The Plates contained in the old Work have also been very carefully compared with the text. . Several errors of importance have been corrected, besides a very large number of others of less importance, such as would, however, tend to perplex the student, and even render the information useless to those of more advanced knowledge, who have not the leisure to make the corrections for themselves. To show the pains that have been taken to render this Edition of the ARCHITECTURAL DICTIONARY as perfect as possible, a list of the works consulted in preparing the present Edition is given on the other side. In fine, the Editors venture to hope, that, while preserving the sterling matter of the original Work, they have made some Additions and Improvements which may be of service not only to the student, but also to the mature and experienced practitioner. EDWARD LOMAX, CIVIL ENGINEER, THOMAS GUNYON, ARCH. & CIVIL ENGINEER. LIST OF WORKS CONSULTED IN PREPARING THE PRESENT EDITION OF THE ARCHITECTURAL DICTIONARY. 8vo., London. 8vo., London, 1844. Archaeologia, Archaeological Journal, Barr’s Anglican Church Architecture, with some remarks on Ecclesiastical Furniture, 8vo., Oxford, 1846. Barrington’s Plain Hints for understanding the Genealogy and Armorial Bearings of Sovereigns of England, 8vo., London, 1843. Barrington’s Chronological Chart of British Architecture, fol., London, 1843. Bartholomew’s Specifications, 8vo., London, 1846. Bentham’s History of Gothic and Saxon Architecture, fol., London, 1798. Bingham’s (J.) Origines Ecclesiasticae, or Antiquities of the Christian Church, and other Works, with additional anno- tations, revised and edited by Rev. R. Bingham, 8vo., London, 1821-9. Bloxam’s Glimpse of the Monumental Architecture and Sculpture from earliest period to 18th century, 12mo., London, 1834. Bloxam’s Principles of Gothic Ecclesiastical Architecture elucidated by question and answer, 12mo., London, 1843. Do., do., 9th Edition, 12mo., London, 1849. Brande, W. T.—Dictionary of Science, Literature, and Art, 8vo., London, 1842. Brandon, T. A.—Parish Churches, 8vo., London, 1848. Britton, J .—The Architectural Antiquities of Great Britain, 4to., London, 1801-7. Britton, J .——-Dictionary of the Architecture and Archaeology of the Middle Ages, 4to., London, 1838. Britton, J.—The History and Antiquities of the Cathedral Church of Salisbury, fol., London, 1814. Britton, J .—Antiquities of Winchester Cathedral, London, 1817. fol., Britton, J.—-Antiquities of Cathedral Church of Norwich, fol., London, 1816. Britton, J.—The History and Antiquities of the Cathedral Church of Salisbury, fol., London, 1821. Brown.—Sacred Architecture, 4to., London. Buck, G. VV.—Practical Essay on Oblique Bridges, 4to., London, 1839. Buckler, J. C—Elevations, Sections, and Details of St. Peter’s Church, VVilcote, Oxon., fol., Oxford, 1844. Buckler, J. C ——Views of Cathedral Churches of England I and Wales, 4to., London, 1822. Carter, J .—Specimens of Gothic Architecture and Ancient 12mo., London, 1824. Chambers, Sir lV.—A Treatise on the Decorative Part of Civil Architecture, edited by Jos. Gwilt, 8vo., London, 1825. Chambers, Sir VV.—Designs of Chinese Buildings, Furni- ture, &c., fol., London, 1757. Coney, J.—Engravings of Ancient Cathedrals in France, Holland, and Italy, fol., London, 1839. Cotman, J. S._Architectural Antiquities of Normandy. fol., London, 1822. Cotman, J. S.—Etchings Illustrative of Architectural Anti- quities of Norfolk, fol., London, 1818. Cranstoun, E.——Elevations, Sections, and Details of Chapel of St. Bartholomew, near Oxford, fol., Oxford, 1844. Cresy, E.—Architecture of Middle Ages in Italy, Illustrated _ by Views, Plans, Elevations, Sections, and Details of ' Cathedral of Campo Santo at Pisa, by E. Cresy and ‘ G. L. Taylor, fol., London, 1829. Cresy, E.—Illustrations of Stone Church, Kent, with A Historical Account, fol., London, 1840. Buildings in England, LIST OF WORKS CONSULTED. —_ Dallaway, J.—Discourses upon English Architecture from Norman Era to Elizabeth, Davies, E.—Celtic Researches on the Origin, Traditions, and Language of Ancient Britons, 8vo., London, 1804. Denisis, J.—Architectura Sacra, 8vo., Exeter, 1818. Denon, V.—Voyage dans la basse et la haute Egypte, Paris. 1802. fol., Elmes, J .—-A General and Bibliographical Dictionary of the Fine Arts, SW. London, 1826. Fawcett, J .—Churches of York, by Mr. 'Monkhouse and Mr. E. Bedford ; with Historical and Architectural Notes by F. Fawcett, 4to., York, 1843. F1eury.—Ecclesiastical History from A.D. 400 to 429, trans- lated, with Notes. by J. H. Newman, 8vo., Oxford 1843. Gray, H.—Tour to the Sepulchres of Etruria. Grose, FL—Antiquities of England and Wales, don, 1773-6. Grose, F.——-Autiquities of Ireland, 8vo., London, 1791~5. Guilhabaud, J .—-Monuments Auciens et Moderns, Vues generale et particuliéres, &c., Gunn, W.—An Inquiry into the Origin and Influence of Gothic Architecture, 8vo., London, 1819. Gwilt, Jos.—Encyclopedia of Architecture, fol., Lon- Historical, Theoretical, and Practical, 8vo., London, 1842. Gwilt, J .—Rudiments of Architecture, Practical and Theo- retical, 4to., London, 1826. Habershon, M.—The Ancient Half-timbered Houses of Eng- land, fol., London, 1836. Hakewill, J .—An Attempt to Determine the exact Character of Elizabethan Architecture, 8vo., London, 1835. Halfpenny, W.—The Art of Sound Building, fol., Lon- don, 1725. Halfpenny, W.—-Practical Architecture, 1736. Hall, Sir J .—Essay on Origin and Principles of Gothic Architecture, 4to., London, 1813. Hawkins, J. E.—A History of Gothic Architecture, with an 8vo., London, 1813. Hope, Thomas—An Historical Essay on Architecture, 8vo., London, 1835. Hughes, T. S.—Travels in Sicily, Greece, and Albania, 8vo., London, 1830. Hunt, T. F.—Examples of Tudor Architecture, don, 1830. 12mo., London, Investigation of its Principles, 4to., Lon- [nghirami, F.—Monumenti Etruschi 0 di Etrusco Nome, 4to., Fiesol, 1821-6. 1 Kendall.—Gothic Architecture, 8vo., London., 1842. Knight, H. G.—Ecclesiastical Architecture of Italy, fol., London, 1842. Lloyd, H. E.—-Architectural Beauties of Continental Europe, (‘01., London, 1831. Mackenzie, C.—Crosby Place described, 8vo., London, 1842 Mackenzie, F.—Specimens of Gothic Architecture, 4to., London. Mant, R.-—-Church Architecture considered in relation to the Mind of the Church, 8vo., Belfast, 1843. Moller, G.—Essay on Origin and Progress of Gothic Architecture, 8vo., London, 1824. Murphy, J. C.—-The Arabian Antiquities of Spain, fol., London, 1813. Nash, J.—Mansions of England in the Olden Time, Series 1, 2, 3, fol., London, 1839-41. Neale, J. P.—Views of Collegiate and Parochial Churches in Great Britain, 4to., London, 1824-5. Parnell, Sir H.—A Treatise on Roads. Petit, J. L.—Remarks on Church Architecture, don, 1841. The Practical Builder, 4to., London, 1838. Pugin, A. W.—Apology for Revival of Christian Architec- ture, 4to., London, 1843. Pugin, A. W.—Contrasts, or Parallel between Edifices of Middle Ages and Present Day, 8vo., London, 1841. Pugin, A. W.—Glossary of Ecclesiastical Ornament, London, 1844. Pugin, A.—Gothic Ornaments selected from variousBuildings in England and France, 4to., London, 1831. Pugin, A.—Specimens of Gothic Architecture from Ancient Edifices in England, 4to., London, 1821. Pugin, A. W.—The True Principles of Pointed, or Chris- tian Architecture, 4to., London, 1841. 8vo., Lon- 4to., Rich.—Narrative of a Journey to Babylon in 1811—Memoir on Ruins—Remarks on Topography of Ancient Babylon by Major Rennell, &c., 8vo., London, 1839. Richardson, C. J.—Architectural Remains of the Reigns of Elizabeth and James I., fol., London, 1838-40. Rickman, T.—An Attempt to discriminate the Styles of English Architecture from Conquest to Reformation, 8vo., London, 1820. Rickman, T.——An Essay on Gothic Architecture. London, 1825. 8vo., Shaw, H.—History and Antiquities of Chapel at Luton Park, fol., London, 1830. LIST OF WORKS. CO’NSULTED. Simpson, F.—Series of Ancient Baptismal Fonts chronolo- l gically arranged, 4to. Smirke, (Sir R.) Specimens of Continental Architecture, fol., London, 1806. Smitln—Panorama of Science and Art, 8vo., London. Stuart, J.—Antiquities of Athens, fol., London, 1830. Stuart, R.—Dictionary of Architecture, 3 Vols., 8vo., London. Stukeley, W.-—Palaagraphia Britannica, 4to., London, 1743-52. Tappen, G.——Professional Observations on the Architecture 8vo., London, 1806. Tredgold.—Elementary Principles of Carpentry, don, 1840. of France and Italy, 4to., Lon- Vitruvius.—Civil Architecture, by Gwilt, 4to, London, 1626. Walsh, R.-—An Essay on Ancient Coins, Medals, and Gems illustrating Progress of Christianity in Early Ages. 2nd l2mo., London, 1828. Warton, J .—Essays on Gothic Architecture. Edition, enlarged, Wade—Quarterly Papers on Architecture, 4to., London, 1843-4. Weale.—Rudimentary Treatises, l2mo., London, 1851. VVhewell, W.--Architectural Notes on German Churches, 8vo., Cambridge, 1842. Whittington, G. D.—Historical Survey of Ecclesiastical Architecture of France, 4to., London, 1809. Wightwick.——Hints to Young Architects, 1846. Wild, C.—Cathedrals-—l2 Specimens of Ecclesiastical Ar- chitecture of Middle Ages, fol., London. Wild, C —Twe1ve Examples of Ecclesiastical Architecture of France, fol. 8vo., London, . The Builder. ] Wilkinson, J. G.-—-The Manners and Customs of the Ancient 1 Egyptians, 8vo., London, 1837. Wilkins, H.———Suite de rues pittoresques des ruines de Pom- peii, fol., Rome, 1819. i Willis, R.—Remarks on Architecture of Middle Ages, espe- cially of Italy, 8vo., Cambridge, 1835. 1 Willis, B.—A Survey of the Cathedrals, 4to., London, 1727. ‘ Wood, J.-—Letters of an Architect from France, Italy, and Greece, 4t0., London, 1828. Wood, R.—Ruins of Palmyra, fol., London, 1753. Wood, R.—Ruins of Balbec, fol., London, 1757. A Few Words to Church Builders, published by Cambridge Camden Society, with Appendix, containing List of Fonts, 8vo., Cambridge, 1841. A Few Words to Churchwardens on Churches and Church 8vo., Cambridge, 1841. Church Enlargement and Church Arrangement, 8vo., Cam- bridge, 1843. , 8vo., London, 1846. I 8vo., Cambridge, 1841-4. 1 A Glossary of Terms used in Grecian, Roman, Italian, and ‘ 8vo., London, 1836. ! Gothic Architecture—A Chart of English, Ecclesiastical, or l Gothic Architecture from Commencement in Saxon dynasty fol. ; A Guide to the Architectural Antiquities in Neighbourhood of Oxford, 8vo., Oxford, 1844-5. i Instrumenta Ecclesiastica, a Series of Working Designs for ‘ Furniture, Fittings, and Decorations of Churches. Edited by Cambridge Camden Society, 4to., London, 1844. 1 Prospects of all the Cathedrals and Collegiate Churches of‘ England and Wales, l2mo. Quarterly Review, Vols. of 1845, 8vo., London, 1815. i The Student’s Guide to Measuring and Valuing Artificers Work, 8vo., London, 1843 Ornaments, Ecclesiastic, Eccleologist, Gothic Architecture, to Sixteenth century, DIE? TAKE: 5., PEATE Ha 7.. APS mummnmnmnm FMEST :............;;.’....’..:.........:............V................ . . . IWIWIM ABTI ‘ ,22 //4/4/Z/./Z ,, VII] wvwwé/ ALCOYE ABACU S B1 [1 S U C A B A ANC ONE. ( 154 B E ANGLES 135 ARCAD E / A R V :\ D 'r‘. ‘IHCTDINARY OF ARCHITECTURE. ABA ABACI, according to Vitruvius, any flat tabulated sur- face—The term is applied to the panels of walls formed in stucco, of which examples may be seen in various remains of antiquity; and to certain decorations of the walls above a part of the podium, or dado. ABACUS, (from Greek, aIBaE,) the uppermost member of the capital of a column, consisting of a flat rectangular table contained between two horizontal planes. In all the existing Doric buildings, with perhaps one or two exceptions, it is in the form of a parallelopiped of equal rectangular sides. The same form is preserved in the other orders, but the thickness is considerably diminished. In the Corinthian and Composite, however, the sides are of a curvilinear form in plan. See Dome, IONIC, CORINTHIAN, TUSCAN, and COM- POSITE ORDERS. ABATTOIR, a place where cattle, sheep, 8m. are killed, and prepared to be sold in the market for food. Among the ancients, such places were altogether apart from meat- markets. In Paris, some time ago, five public abattoirs were constructed at the expense ofthe city, containing 236 slaughter- stalls. There are in each of the five abattoirs furnaces for melt- ing fat, leaden cisterns and pipes for supplyingwater to all parts of the establishment, cesspools, cart—sheds and stables for the use of butchers, water-closets, places for feeding or herding the beasts, houses for the different functionaries, and lastly, a large covered sewer which conveys rain and dirty water into the common sewers of Paris. The abattoirs of Paris have two or four sets of slaughter—houses, each of them composed of two buildings separated by an open yard. The different sheds, divided from each other by stone walls, are about 16 feet by 32, and they have each two entrances—one opening on the yard, by which the beasts are made to enter, and the other on the opposite side, by which the meat is removed according as it is required. Each slaughter-stall is provided with an ample supply of water, also with a tank or reservoir situated under the flagging, and with a mechanical apparatus to enable the men to lift the animals when killed, for the purpose of hangng them up. These slaughter—sheds, as well as the yard between them, are flagged all over with very thick slabs, carefully jointed with cement made of iron filings, 820., so that no particle of animal matter may pass through. The ceilings are covered with plaster, and whitewashed, so as to encourage the greatest attention to cleanliness. Small holes made in the lower portions of the doors allow the air to circulate freely; and lastly, the roofs being made to project about ‘10 feet beyond the exterior surface of the walls, have the double advantage of protecting the slaughter-houses from the direct rays of the sun, and shading the carts in which the meat is conveyed to market, as well as the men engaged in loading them during the time they are so occupied. As the use of water in an abattoir is indispensable, and moreover frequently required, the means of obtaining and distributing it is one of the principal points to which the attention of an engineer ought to be directed. In Paris, there are two houses, or lodges, at ABU the entrance of each abattoir, for the accommodation of the superintendent, gate-keeper, and servants connected with the establishment. Whatever may be the size or extent of an abattoir, it must have a large drain to conduct the dirty water, and the various kinds of filth which it necessarily contains, into a river, or main sewer. In Paris such prin- cipal drains are built of stone, and are Constructed 3% feet wide, by 6% high. In addition to the above-mentioned places, it is requisite to have a yard, in which to put the manure and useless animal remains, which ought, however, to be cleaned out every day if possible. This yard ought to be well supplied with water, and be placed as near as possible to the mouth of the sewer. It should be paved with stone or bricks, laid in cement mixed with iron filings. ABBEY, a monastery, or religious house, governed by a superior under the title of Abbot. See MONASTERY. ABBREVIATION, a kind of shorthand, much used by surveyors in measuring work, and greatly facilitating the process. See MENSURATION of Artificers’ Works. ABREUVOIR, or ABREVOIR, (from the French,) in masonry the interstice, or joint, between two stones, to be filled up with mortar or cement. See JOIRTS. ABSTRACT, in artificers’ works, is used in a general sense, to signify the collecting of sundry articles into one sum, when the same price is affixed to equal parts of each ; or, to ascertain measure. See MENSURATION of Artificers’ Works. ABUTMENT, or BUTMENT, that which receives the end of, and gives support to anything having a tendency to spread or thrust outwards ;—or it may be defined as the resisting surface of a body, on which another body presses in an oblique direction to the horizon, or in a different direction to the height or length of the body pressed upon: such are the abutments of arches and the juggles of truss-posts, which resist the pressure of the struts or braces. In bridge-building it is the extreme pillars only of one or a series of arches, and thus connects the bridge with the bank of a river, &c. Abutments should be made to resist a greater force than what is just sufficient to balance the abutting works, provided there be no rocks to rest upon. The foundation of an abut- ment, raised upon a sloping bank of rock, gravel, or good solid earth, will be a great saving of materials and labour; but if no such natural advantages occur, it will add greatly to the strength of the abutment to lay the stones with radiat- ing or summermg jomts, according to the practlce 1n laying I the voussoirs, at least as high as the springng of the arch, ? and this disposition will present a greater resistance to the ‘ lateral thrust of the adjacent arch, than if the stones had been laid on level beds; and instead of the returning sides from the side of the aperture of the arch being vertical planes, they would be much stronger when reclining, and more so if curved in a vertical direction. See BRIDGES and WALL. ABUTMENTS. in carpentry and joinery, are the junctions, or meetings, of two pieces of timber, of which the fibres of the one run perpendicular to the joint, and those of the other parallel to it. M. Perronet, the celebrated French architert. ADI AIS formed the abutments of the timbers, in roofing, in the arches of circles, making the centre in the other extremity. With respect to the transverse strain on the various pieces of a. roof, the abutting joint is of little importance. For farther explanation, see J OGGLE. ACADEMY, in antiquity, a public grove or villa, six stadia (half-a-mile) distant from Athens, which it is said took its name from one Academus, a citizen of Athens, to whom it originally belonged, and who appropriated it to ymnastic sports. ACANTHUS, an ornament used in the enrichment of the Corinthian capital, and so called from its resemblance to the leaves of an acanthaceous plant. It is also commonly employed in sculptural and architectural enrichments gene- rally; in the enrichment of modillions, of mouldings, and of vases, as well as of foliated capitals. In the ancient Roman models, this ornament is full and luxuriant; while in the Greek it is characterized by a graceful and restrained sim- plicity. See ORDERS. ACCESSES, the passages of communication to the various apartments of a building. See PASSAGES. ACCIDENTAL POINT. See VANISHING POINT. ACCOMPANIMENT, an ornament added to some other ornament, for the greater beauty of the work. ACRE, a quantity of land, containing four square roods, or 160 poles or perches. The acre is in length ten chains, and one in breadth; consequently contains ten square chains; and as the chain contains 22 yards in length, there will be 4,840 square yards in the acre. The proportion between the English and Scottish acre, supposing the feet to be alike in both, is as 1,089 to 1,369, or nearly as four to five; the English chain being 66 feet, and the Scottish 74. The French acre, arpent, contains 1&— English acre, or 54,450 square feet. ACROLINTHON, or ACROLrNTnos, a colossal statue placed in the temple of Mars, and situated in the middle of the citadel of the ancient town of IIalicarnassus. ACROPOLIS, (from akpog, height, and Tolug, a city) the fortress or citadel of Athens, which derived its name from an eminence on which it stood. It was richly adorned by the Athenians, in the days of their prosperity, with temples, statues, paintings, and votive gifts to their divinities. Of this ancient place there are still many fine ruins, some of which are very entire. Its walls have at different times been rudely repaired, or rebuilt, as little of the ancient masonry remains; but numerous fragments of columns, cornices, and sculptures, are seen in several parts, and exhibit a ruinous appearance. ACROTERIA, a term applied to the little pedestals placed on the pediment or fastigium; one on the apex, and one on each lower extremity, serving to support statues. According to Vitruvius, those at the extremes ought to be half the height of the tympanum, and that in the middle an eighth part more. Acroteria likewise signify figures placed as ornaments-or crownings on the tops of temples, or other build- ings ; they also denote the sharp pinuacles,orspiry hattlements, which stand in ranges about flat buildings with rails and balus- ters, and which are sometimes called acroteral ornaments. ACT, Building. See BUILDING ACT. ACTUS. in building, a measure used by the Romans, and equal to 120 Roman feet. See FOOT. ACUMINATED, ending in a point, or sharp-pointed. ADIT, or ADITUS, (from adire, to go to,) in general, the approach or entrance to anything; in which sense we meet with adit of a house, of a circus, Sac. Adits of a theatre, aatlus theatri, in antiquity, were doors on the stairs, whereby persons entered from the outer porticus, and descended into the seats. The term is now generally applied to denote the opening by which a mine is entered, and which is usually made in the side of a hill. ADYTUM, (from a, 5m.) the most retired place in the pagan temples,‘into which none but the priests were ad- mitted, and in which the oracles were declared. The word originally signifies inaccessible, being compounded of a, not, and 511w or drum), to enter. The sanctum sanctoram, or holy of holies, of the temple of Solomon, was of the nature of the pagan adv-rev, or adytum, none but the high-priest being admitted into it, and that but. once a year, on the great day of expiation. ADZE, an edged tool, the iron part of which is called the blade, and is a small portion of a cylindric surface on both sides; it has a piece of wood, called the handle, fixed into a socket at one extremity of it, in a radial direction; and the other extremity, parallel to the axis of the cylinder, and consequently at right angles to the handle, is edged with steel, and ground sharp from the concave side. See TOOLS. JEDES, in antiquity, a chapel, or inferior kind of temple, as the agrarium, or treasury, called Eel/38 Salami. JEDICULA, otherwise called SACELLUM, generally signi- fied a small temple, but had various significations; some- times denoting the inner part of the temple, in which the altar and statue of the deity were placed; at other times, a niche in the wall, for receiving a statue. JEDICULUS, in Roman mythology, the deity who pre- sided over the construction and conservation of buildings. JEOLUS, in mechanics, a small portable machine, for refreshing and changing the air in rooms that are too close. ERIAL PERSPECTIVE, is that which represents bodies diminished and weakened in proportion to their dis- tance from the eye, Linear perspective may be,considered the material guide of the artist, originating in, and governed by, mathematical science; but a'érial perspective is depen- dent for its application only on the capacity and perceptions of the artist. JESTUARY, in the ancient bath, a secret passage from the stove into the chambers. 1E"I-IERIUS, an architect, who lived in the beginning of the sixth century He built the edifice named Chalcis, in the palace of Constantinople; and is supposed to hare constructed the strong wall which extends from the sea to Selimbria, for preventing the incursions of the Bulgarians and Scythians. AGGLUTINATE, to unite one part to another. AGORA, the forum, or market-place, at Athens. AGYCI, in antiquity, obelisks sacred to Apollo, and placed in the vestibules of houses AISLE, or AILE, (from the French aile, a wing, or villi-e, a path.) When the breadth of a church is divided into three or five parts, by two or four rows of pillars parallel to the sides, the church is denominated a three or live aisled fabric. The middle and principal compartment is called the nave; the side divisions adjoining, the aisles; or, if the term be applied to all the compartments, as it lawfully may be, they are distinguished as the middle and side aisles. In French, this term is applied to the outlying and returning ends of a building, called by us wings; such as the columncd ends of the front of the General Post Otlioe. London. The cccle~ siastical buildings in Great Britain are generally three-aisled ; and no instance occurs of a tive~aisled church, eXt-cpt a building at the west end of Durham cathedral; but on the continent there are several: the great church at Milan is one. Old St. Peter’s, at Rome, was also a tive-aisled fabric. It is rather remarkable, that in \Vestttllllstet‘ abbey-church, and Redclill'e church, at Bristol, the aisles are continued on 77 lfl'f" D‘VJFAHLSQ PLATE 5 Aflflbert, NW1. Aqwflkfl'i {1, wt! ,"~ v) ‘v - ‘ ‘. k v)../\lr!phl~[11r>:\l1le: Plan A Hu'rspm‘tnw- \'1(‘\'\' \"h Axum : i:u1u\ a’wrxxuwn'o \r'ww f\ "’ .‘\;‘\'l‘.1 MY" f\ " 'I'H‘F. ,L‘QNTVJN [‘RH‘I'I’lNU AN“ ‘ Vim ”LIN .‘My‘ANN Ju.dk‘1‘l"1i v 3) N”Vla.\ng (1141‘ NM: HA.“ X‘H‘ \ng {my \ ‘1‘: .1 fur-311‘ N, ; Amt: N‘):\1\Jxmlh~z;= ‘ \ \1 R ”N: _\'m ALH AMP each side of the transept, and in Salisbury cathedral on one side only; but in no other church in this country. Other particulars in connection with Aisle will be found under the articles CHURCH, TRANSEPT, and WING. ALABASTER. See GYPSUM. ALZE, two apartments on the right and left of the vesti- bulum, and separated from it either by columns or walls. A-LA-GREC, or A-LA-GRECQUE. See FRETs. ALBARIUM, Opus, in ancient buildings, the incrusta- tion or covering of the roofs of houses with white plaster, made of mere lime. The workmen were called albim‘ or albarii. This is otherwise called Opus album, and differs from tectorium, which is a common name given to all roofing or ceiling, including even that formed of lime and sand, or of lime and marble; whereas albarium was restricted to that made of lime alone. ALCOVE, in a sleeping room, is a recess made in the side for receiving the bed, either wholly or in part. Alcoves were formerly much in use in bedchambers, and were often raised upon two or three steps, with a rail at the foot of the bed; but now they are seldom employed except to obtain uniformity, or a communication to another apartment. The word is derived from the Spanish alcoba, and this again from the Arabic al kubbeh, the place for the bed. There is little doubt but the alcoves were of Asiatic or African origin; for we frequently read of them in Arabian stories and descriptions of Asiatic palaces and gardens. They were introduced into Spain, from Arabia, by the Saracens; and by the Spaniards into France, Germany, and other nations. It is remarkable, that in the designs of Palladio and other contemporary Italian writers, there are no examples of alcoves; whence we may reasonably conclude that they had not become fashionable either in Rome or Venice. Swinburn mentions two, yet remaining, in the royal bedchamber of the Moorish palace of Alhambra, at Granada, which are probably the oldest in Europe. The word is also applied to a recess or arched seat in a garden. ALESSI, a famous architect, born at Perugia, in 1500. He attained to such eminence in his profession, that he was applied to from France, Spain, and Germany, for plans of public buildings. His plan for the monastery of the church of the Escurial was preferred to those of the ablest archi- tects of Europe. He died in 1572. ALHAMBRA, an ancient palace of the Mohammedan kings of Granada, situated on a hill which runs out to the east of the town, and surrounded by strong walls flanked by square towers. These walls were built of a kind of cement formed of red clay and large pebbles, which, being exposed to the action of the weather, quickly acquired the solidity and hardness of stone. Thelbeauties of this magnificent specimen of Arabian taste and splendour, have been described a: great length by Swinburn and other writers, who express the highest admira- tion of the exquisite taste displayed throughout the whole. In visiting the Alhambra, the traveller ascends through a wood of lofty elms, whose interlaced branches shelter him from the sun’s rays, to the Gate of Justice, and passes beneath its horse-shoe arch, so characteristic of its Arabian architecture, to the Plaza de los Algilies, or Squ‘are of Cisterns. On the east side of this Plaza is the palace of Charles V., a beautiful specimen of the style of the fifth century, by AlonzoBerrequettc. On the north is the Mesuar, or com- mon bathing-court, 150 feet long and 56 wide, paved with white marble, and its walls covered with arabesques of the most admirable workmanship. From the Mesuar the traveller passes to the Court of the Lions, which is also paved with white marble, and measures 100 feet by 60. In the centre is a large basin of alabaster supported by twelve lions, from which rises a smaller one. From this a large body of water spouts into the air, and,. falling from one basin to the other, is sent forth through the mouth of the lions. A gallery, supported by light and ele- gant columns, surrounds the court ; and at each end projects a sort of portico or gallery, supported by similar columns. The Sala de Comares was undoubtedly the richest in the Alhambra. Its walls are ornamented with arabesques o: the most exquisite workmanship; its ceiling of cedar-wood, inlaid with ivory, silver, and mother-of-pearl, While the softened light, admitted by windows sunk in the immense thickness of the wall, chastens the splendour of its richness, and enhances its surprising beauty and magnificence. Lost in the contemplation of the charming objects which surround him on all sides, the traveller forgets the world and its dry realities, and seems transported into one of the palaces described in the “Arabian .Nz'ghts.” ALH’TERION, (aheubm, t0 anoint,) the anointing-room in the bath. . ALMS-HOUSE, a small hospital, or edifice, endowed with a revenue for the maintenance of a certain number of poor, aged, or disabled people. AMBO, or AMBON, in ancient churches, a kind of pulpit or desk, ascended by steps. The modern reading-desks have been gradually substituted for the ancient ambae: there are, however, remains of them in some Roman churches still to be seen, as in that of St. John de Lateran, at Rome, where there are two movable ambae. AMPHEROSTYLOS, or AMPHIPROSTYLE, in ancient architecture, a temple with a portico in front, and another in the rear. The term is derived from app both, «do before, and 5-ng column, signifying columns on both fronts. See TEMPLE. AMPHITHEATRE, (from aludu, around; and Gettrpov, theatre,) in Roman antiquity, a large edifice, of an elliptic form, with a series of rising seats or benches disposed around a spacious area, called the arena, in which the combats of gladiators, wild beasts, and other sports, were exhibited. It consisted exteriorly of a wall pierced in its circumference by two or more ranges of arcades, and interiorly of vaulted passages radiating from the exterior arcades towards the arena, and several transverse vaulted corridors opening a free communication to the stairs at the ends of the passages, and to every other part of the building; the corridors and ranges of seats forming elliptical figures parallel to the boundary wall. Sometimes, in the middle of the fabric, there was an intermediate corridor, which, like those on the ground-floor, surrounded the whole, and served as a common landing-place to all the staircases that led to the higher galleries; as in the ‘ amphitheatre at Nismes: and sometimes each staircase had its distinct landing, without any gallery of general communi— cation; as in the amphitheatre at Verona. The four passages in the direction of the greater and lesser axes were generally made wider than the rest, and, by intersecting arched passages, laid open to the adjoining passages on either side of them. The principal entrances, through which the emperor, the senate, and other distin- guished persons passed, were placed in the direction of the lesser aXes. The other two led directly to the arena by large arched gateways, which Were appropriated to the beasts and gladiators. Through the other passages, the different orders of people passed to the staircases, which led to the respective seats. Every arcade around the exterior was numbered as } AMP AMP well as the divisions, or wedge-formed parts, called cunei, which separated the people into difi‘erent orders. The amphitheatre was regulated by certain laws, by which each person knew the entry through which he was to pass, to his appropriate seat. The door-ways, which opened from the stairs and passages, were denominated vomitoria. The benches, on which the people sat, were about two feet four inches broad, and one foot eight inches high. Before every range of vomitoria, a passage of communication, called a precinctum, was formed, about four feet eight inches broad, and bounded on the ascending side by a wall of about three feet four inches high. Surrounding the arena was a platform called the podium, which was of greater breadth than the precinctum, and which was defended on the front by strong netting, and rails of iron armed with spikes, and also with strong rollers of timber, which turned vertically to prevent the hunted animals from leaping over. The emperor’s pavilion, called the suggestum, was in the podium, at one extremity of the minor axis of the arena, highly decorated, and lined with silk. The seats of the most distinguished persons were also in the podium, and covered with cushions, while marble benches were in general covered with boards; but as the podium was not sufficiently large to contain all the people of high rank, other contiguous places were allotted for that purpose. Over the spectators, in time of rain or intense sunshine, a covering of woollen of different colours, called the velum, was occasionally stretched by means of pullies and cords, and drawn up or let down at pleasure.— On the sides of the passages, and under the stairs, on the ground-story, are many cells and rooms, which were pro- bably prisons for criminals condemned to fight, or to be devoured, and in which the beasts might be occasionally stabled. It was sometimes the practice to give novelty to the games, by erecting pieces of machinery on the arena, repre- senting mountains, on which real trees were planted, and under them hidden caves were formed, from whence the ani- mals rushed out to encounter the combatants, or to devour their victims. Amphitheatres are undoubtedly of Roman invention, and were at first constructed of timber; and it was not till the reign of Augustus that one of stone was built by Statilius Taurus, but this does not appear to have been held in much estimation, as it was very seldom resorted to. The Roman amphitheatre, called the Coliseum, or Colosseum, was begun by the emperor Vespasian, and finished by his son Titus, and is deservedly celebrated as a prodigy among the ancients. At the solemn games, when this edifice was dedicated, five thousand wild beasts, according to Eutropius, and nine thou- sand, according to Dio, were destroyed on its arena 1Vhen the hunting was concluded, the arena was suddenly filled with water, in which aquatic animals were made to contend, and then a sea-fight ensued. According to Tappen, the greater axis of the ellipsis of this stupendous edifice was 627 feet, and the lesser, 520. ACCOx‘ding to Desgodetz, the height of the exterior wall was 156 feet, the greate ‘ axis of the arena about 264 feet, and the lesser 165 feet; therefore the medium breadth of the circuit, for seats, galleries, and - wall, was about 179 or 180 feet—This edifice covered some- thing more than five acres of ground. The boundary-wall was pierced by five ranges of aper- tures, of which the three lower were arcades, having eighty openings in each range, and the upper two rectangular win- dows. Its exterior side was decorated with orders, in four ranges, with continued cntablatnres; the three lower were colonnades, and the upper a pilastrade. The lowest order vas Doric, without mutules, triglyphs, and guttae; but the shafts of the columns terminated with bases: the second was Ionic, with the Attic base; its volutes were slightly formed, and the dentil band uncut: the third and fourth orders were Corinthian, with unraflled leaves. The diameter of the columns, in the several ranges, was two feet eight inches and three quarters, as also the breadth of the pilasters; the columns of the lower range were twenty-six feet high, and each of the others twenty-four feet only. This makes the Doric columns higher than either the Ionic or Corinthian, and the altitude of the Ionic and Corinthian equal to each other, while all the columns have equal diameters, and are of the same breadth with the pilas- ters of the upper range. The sima of the cornice of the lower Corinthian was supported by modillions, without the intervention of the corona, and the column has a Tuscan base, The upper Corinthian had its cornice formed in front by three faces, and a cymatium like an architrave, and sup- ported by cantalivers, projecting out of the frieze; or the entablature may be looked upon as an architrave cornice, reck- oning the frieze and cantalivers a part of it. The whole edifice was crowned with a blocking course. The first colonnade was raised on several steps, about three feet two inches above ground, and the bases of the columns stood on the uppermost step, which formed the pave- ment of the entrances. In the superior stories, the piers and columns were elevated on stylobatae and podia, and the second and third ranges of arcades stood upon podia also. The boundary wall was diminished upwards in its thickness on both sides, but more particularly from the exterior side of it, in each succeeding story, and the columns of the two lower ranges projected three quarters of their diameter, while those of the third range did not project more than the half; and therefore the axes of the columns of each succeed- ing range upwards, were more recessed than those of the inferior range. This recession is more observable in the upper range of columns than in that immediately below ; but still more in the pilasters of the third order. The dimi- nution of the columns commences from the third part of their height. The straight Sotlits of the fillets and other horizontal projections rise more in the front than in the rear. The lower range of the rectangular windows had one window disposed in every alternate podium, below the upper order ; and had the upper range of windows in the inter-pilasters above the imperforated podia. The cornice of the uppermost order was pierced with square mortises, through which the awning poles passed to a range of corbels below, something higher than the middle of the pilasters. Seventy—six of the lower range of arcades were about thirteen feet four inches broad, and the four placed upon the extremities of the axes, about fourteen feet six inches. The lowest range of arcades radiated vault-wise towards the arena, in a direction almost at right angles to the curve of the plan of the exterior wall, and intersecting two vaulted corridors, passed on to the stair- cases in the same direction. Two other corridors were placed between these stairs and the wall of the podium, and other stairs between the second and fourth Corridors. The first staircases were entered by the second and third corridors, and those next to the arena by the third corridor only ; this corridor vas lighted from above, by vertical square holes, descending through the crown of the vault; and, it is pro- bable, that the fourth corridor, adjoining the wall of the podium, vas lighted in the same manner. The second Story had three corridors, laid open to one another by radiating passages : the two first were placed over the first and second corridors on the ground-floor, and between the Second and ‘ third were placed stairs, which ascended on the one hand to the second range of vomitoria, and on the other, to another I high-groined corridor, forming a mezzanine, wlnch \VEL‘" AMP. G1 'ANC lighted from the floor of the gallery above, and from which the stairs ascended to the next story. The third story con- sisted of a double corridor, from which the stairs continued upwards to the fourth galleries, the interior wall of which was pierced with windows and doors, or vomitoria, that opened to the uppermost cunei of benches. On the inside of the exterior wall are vestiges of stairs which led to a fifth gallery; this again had four staircases, which led to a sixth gallery ; and from thence the stairs continued to the top. The two upper floors were contained in the height of the pilastrade. The stone employed in this edifice is the produce of the neighbourhood of Rome, and is called Travertiue-stone, of which the exterior walls, the piers between the two outer corridors, the heads of the passages and corridors, and some bendstones, are constructed: all the rest is of brick. The exterior wall is cramped with ligatures of iron, without cement ; some of the internal walls have remains of plaster ornaments, and others are lined with marble. The floors of the corridors are paved with flat bricks. and covered with a hard incrustation of stucco. This building is supposed to have contained 100,000 persons ; but it will be found that by allowing two feet two inches from seat to seat, and one foot nine inches to the breadth of each person, not more than 80,000 could be accommodated, even supposing all the upper galleries to be filled. “ The proportions of this edifice,” says Tappen, “ were in such perfect harmony with each other, that there was nothing gigantic in its appearance, although the greatness of its dimensions never fails to impress every mind with ideas of its sublimity.” A structure of such dimensions, and of such contrivance and ingenuity as the Colosseum, eclipses the most magnificent works of the Egyptians and Greeks, and even those of modern times. The structures of Egypt, such as we may conjecture from what now remains, have little to recommend them, except their magnitude and the enormous stones employed in their construction. For beautiful simplicity, and chastity of parts, the Greeks excelled every other people; yet the Romans, though licentious in the detail and embellishments, showed much ingenuity, not only in the arrangement of their plans, but in the construction of the elevated parts, both with regard to the solidity of the work, and the end to be answered by the design. Our finest embellishments and best proportions are of Greek origin ; but the Romans have set us the example in a beautiful diversification of plans. The Amphitheatre at Verona consisted, formerly, of three stories of arcades, with pilasters against the piers of each story, bearing continued entablatures. The pilasters and arches are all rusticated and unwrought on the face. The orders which decorate the solid parts of the masonry are of no legitimate species, but more nearly allied to the Tuscan than any of the other three. The second pilastrade stands upon a plinth, and the third upon a triple plinth. The pilasters of the first and second ranges are very slender, particularly the second ; those of the third range are double the breadth of those of the second range, contrary to the laws of strength. . The arches forming the heads of the first and second arcades are extradossed, and project out beyond the rustics, which form the horizontal courses above; the arches forming the heads of the third arcades are also extradossed, but each has another concentric extradossed arch, springing on each side from the pilaster, with its face in the same plane with the pilasters, and its inner diameter equal to the clear distance of the pilasters. The edifice is finished with a blocking course, resting upon the upper entablature: of the outer C wall only a small part remains. From some mutilated courses of rustic work, and the lower part of two plain pilasters which remain, it has been supposed that the building had also a fourth story. The height of the three existing stories is about 90 English feet. This edifice was erected without cement ; the stones being nicely joined with cramps of iron, covered with lead. The greater axis of the ellipsis of the plan, according to Desgodetz, is 433 feet 8 inches, and the lesser 333 feet 4 inches; the greater axis of the arena 237 feet, and that of the lesser 136 feet 8 inches ; the breadth, for benches and wall, being 100 feet 4 inches; each range of arches were seventy-two in number, which opening into ‘ the first range of arcades, radiated towards the arena, in passages and staircases, crossing a corridor surrounding the whole ; the passages, proceeding forward, crossed two other surrounding corridors, between which were other stairs. The second story has one corridor above the exterior lower one. Above are forty-six tiers of seats, rising by equal degrees from the arena to the wall upwards. The interior of this edifice is entire, having been wholly‘reinstated by the inhabitants, from time to time, for the purpose of exhibiting plays, and other diversions. The greatest diameter of the ellipsis of the Amphitheatre at Nismes is 430 feet, and the least 338 feet; the whole height 76 feet 6 inches. ~ The elevation consisted of two stories of open arcades and an attic. Each story had sixty arcades in its circumference, of which the four placed upon the extremities of the axes form the grand entrances, and are decorated with pediments. Against the solid parts of the masonry are Tuscan pilasters, resting on pedestals, and supporting an entablature which breaks over them. On the top are short, hollowed stone corbels, in which, it is supposed, poles were placed, for bear— ing an awning over the spectators. Many of the rows of seats are entire. The remains of the Amphitheatre at Pola, in Istria, consist of an elliptic wall, pierced around its circumference with 72 arches; containing two stories on one side, and one on the other, being built on the side of a hill. Above the upper arcade is an attic, pierced by 72 square-headed windows which surround the whole: through this are grooves for the poles that supported the velum. The greatest diameter of the ellipsis is 416, and the least 337 feet. The Romans constructed Amphitheatres in England; one at Dorchester, and one at Ilchester. AMPHITHURA, (from the Greek, alwptfivpa, both doors,) in ecclesiastical antiquity, the veil or curtain which divided the chancel from the rest of the church; so called on account of its opening in the middle, after the manner of folding doors. ANABATHRUM, (from avafiaww, I ascend, ) a kind of ladder, or steps, by which an eminence may be ascended. In this sense, we read of the anabathra of theatres, pul- pits, 8w. ANAGLYPHICE, or ANAGLYPTICE, (from ava, yxmpw, to carve or engrave) a species of sculpture wherein the strokes of the figures are prominent or embossed : in opposi- tion to the Diaglyplzz'ce, where the strokes art indented. ANAM ORPHOSIS, (tn/a, pawn) in Perspective and Painting, amonstrous projection, or a representation of some image, either on a plane or curved surface, deformed or dis- torted, but which, in a certain point of view, appears regu- lar and in just proportion. ANCHOR, an ornament in form of an anchor, or arrows head, employed in the echinus, or ovolo, between the borders which surround the eggs. This anchor, with its concomi- tants, are generally carved on the ovolo of the Ionic capital, ANG ANG and in the Grecian, Ionic, and Corinthian orders, upon all large mouldings of this form: they are not employed in the Grecian Doric, though they are used in the Trajan and Antonine columns of' the Tuscan order, at Rome. ANCONES, the trusses or consoles sometimes employed in the dressings of’ apertures, as an apparent support to the cornice, upon the flanks of the architrave. In many ancient doors, the ancones were narrower at the bottom than at the top, and, in some instances, were not in contact with the flanks of the architrave, but placed at a small distance from them; the ancones being further separated from each other. Vitruvius calls them protltyrides. ANDREA DE PISA, a sculptor and architect, born at Pisa, in 1270. He built several castles, and the church of St. John, at Pistoia; but his skill in architecture was prin- cipally displayed at Florence, where he erected many man- sions, enlarged and fortified the palace of the duke, and sur- rounded it with magnificent towers and gates. On account of these works, he obtained the right of citizenship. At the requestof the duke of Athens, he made a model of a citadel, which he intended to erect for restraining the Florentines. On this account, they took the alarm, and expelled the duke; but Andrea passed the remainder of his days at Florence, cultivating the fine arts, such as painting, poetry, and music, besides those which were prof'essedly his own. He died in 1345, aged 75. ANDRON, or ANDRONA, (from avnp, a mom) in antiquity, an apartment in houses, assigned to the use of men. It was sometimes called androm'ft's, in opposition to gynecreum, the apartment appropriated to the use of women. The Greeks also gave their dining-rooms the title of andron, because the women were not admitted to feasts in company with the men. Androna, in ancient writers, denotes a public place where people met to converse on business, such as our exchanges; however, it is more particularly used to signify the space or alley between two houses; and in this sense it was used by the Greeks, for the passage between two apartments in a house. This word is sometimes written, andra, andrion, or andronium, and is of the same import as the Roman term mesaulte. ANGLE, rectilinear, (Lat. angulus, the elbow,) according to Euclid, “the inclination of two straight lines to one an- other, which meet, but are not in the same direction.” This definition, it' indeed it may be termed such, is so very indis- tinct, and even inaccurate, that it has been entirely discarded by modern mathematicians, who have individually given many suggestions for its improvement, but have not agreed so far as to adopt any as a standard definition. \Ve give the following as one of the most correct :——“ An angle is the ratio of the plane surface bounded by two infinite right lines which meet, to the plane surface on all sides indefinitely extended about the point where they meet.” Thus the A B C is the ratio of the plane surface, bounded by the straight lines A B, B C infinitely extended to the unbounded plane of the paper about the point B. Objections, doubtless, may be urged against this, as against all other suggestions; but the subject. is unquestionably a difficult one, as it necessarily involves the long-disputed question Concerning infinite magnitudes. The following description, though not .amounting in preciseness to a definition, affords a very intelligible notion of the idea intended to be conveyed by the term, viz: the opening made by two intersecting right lines. Comparison of Angles. As every theory respecting the comparison of infinite spaces is attended with considerable dilliculty, we shall leave the consideration of the more 'abstruse points of this subject to works of a difl‘erent nature, and endeavour to eXplain, as clearly as possible, the method of comparing angles. Let A B c, D E F, (see the plate) be two angles formed by the intersection of the straight lines A B, B C, D E, E F, at the points B E, respectively. Apply the angle A B C to angle D E Fin such a manner, that = the points B E, and the lines B C, E F coincide, then the posi- tion of' E D with respect to B A is determined. openings coincide, or, in other words, the angleABC is equal to the angle D E F. If, however, E D fall between B C and B A, the opening or angle D E F is less than the other A B C; if, on the other hand, E D fall without or Such being ‘ the position of the two figures, if E D fall upon B A, the two 3 beyond B A, the angle D E F is said to be greater than the angle A B 0. Again, supposing the angles to be applied as before, and E D to fall within A B; let E D remain fixed in that position, ‘ but let E F be turned about E D as an axis, until it fall on 3 the opposite side of it; then, if E F coincide with B A, it is evident that the angle A B C is equal to twice the angle D E F. In the same manner may be explained the notion of one angle being three, four, or any number of times greater or less than another. It may be necessary to observe, that the magnitude of the angle in no wise depends upon the length of the intersecting lines; for, if we suppose a part D d to be cut off from the side D E, upon applying the angle D E F to angle A B C, as above, we shall find that the line E dwill still fall in the same position with respect to A B, as it did before D d was cut off; and 'will do so, however short E D may become: until the line, and therefore the angle, ceases to exist. Again, let us suppose a line starting from a certain station A B, to revolve round one of its extremities A as a fixed point 0‘ axis, and to arrive at the situation A 15,; it will then, with its original position, describe an angle B A B‘. Let it now continue its revolution, until it has passed over another space equal to the preceding, and in so doing has reached the position A 32 ; it will then be readily understood that the angle B A B2 equals twice the angle B A B, and thus we might describe an angle any number of times greater than B A B. Euclid’s notion of an angle has been very much enlarged . upon by later mathematicians, as we proceed to illustrate by reference to the last diagram. A B to continue its revolution to Ba, and thence to B‘ ; then that A 8‘ forms with its first position the angle B A 8‘, and thus far Euclid allows; but if the revolution be con- tinued until A B arrives in the position A 351 so as to form a straight line with its first position—which event takes place when it. has performed half a revolution—Euclid no longer recognizes the opening so formed as an angle. Such, however, it is reckoned to be by the modems, and that not ‘ without reason; for it will be readily acknowledged that the opening formed by the lines A B and A B5, is greater than that formed by A B and A B4, thus showing that such opening is liable to comparison in the same manne ‘ as any other angle. The same reasoning will apply to Openings formed by a whole revolution or more; indeed, the lnoderns do not restrict the term to any number of revolutions however great. A RIGHT ANGLE is that traced out by A B while perform ing a quarter revolution. Ax OBTUSE ANuLE is that which is greater than one right angle, and less than two. Ax ACUTE ANGLE is that which is less than one right angle. The angle formed when A B has completed one revo- tion and arrived at A B, is described as four right angles + angle B A B. -__.._ .~ -~—_.__A\_,,.._. A Let us conceive the line - we say , ANG ANN Measurement of Angles. Referring again to the last dia- gram, it will be seen that the point B in the line A B, during its revolution round its axis A, describes a circle. Now the circumference of any circle so described is supposed to be divided into 360 equal parts, called degrees, each of such degrees into 60 minutes, and each minute into 60 seconds. This division is made use of for the measurement of angles in the following manner :—As the angle traced out by a whole revolution passes over in its progress 360 Of the larger divisions, it is styled the angle of 360 degrees ; similarly, the right angle, which makes only a quarter revolution, is named the angle of 90 degrees; and so on for angles of any dimen- sions whatsoever. ‘ The measure of the arc is sometimes used indiscriminately for that of the angle; but such measurement is, strictly speaking, incorrect. See ARC. External ANGLE, in civil architecture; the same as Saliant ANGLE, which see. Internal ANGLE, in civil architecture, the same as Re- entering ANGLE, which see. Rte-entering, or lie-entrant ANGLE OF A SOLID; an angle whose vertex recedes, or is turned inwards, from a right line extended between any two points in the legs ; or it is a cavity or void, formed by two planes on the surface of the solid. Artificers call all such angles, made by walls or partitions, Internal Angles. Saliant or Sortant ANGLE OF A SOLID, an angle, Of which the vertex is prominent; or it is the solid matter contained between two planes inclined to each other in an angle less than two right angles; or, it is such, that if a point be taken in each plane, the straight line joining the two points, will pass through the solidity. Artificers call all such angles, made by walls or partitions, External Angles. Solid ANGLE, the mutual inclination of more than two plane rectilineal angles meeting in a point, and not contained in the same plane. ANGLE OF A WALL, the angle contained by the two ver- tical planes which form the angle of a building. It would be better denominated the angle of a building, a term suffi- ciently explanatory of itself; but as it is to be found in other dictionaries of this nature, it is here inserted. The angle of a wall is said to be “the point where the two sides meet ;” but it should be the line where the two sides meet, which is commonly called by workmen the arris ; still the arris is not the angle, but the line Of concourse formed by the two sides, or planes, containing the angle. ANGLE BAR, in joinery. When a projecting window stands on a polygonal plan, the upright bar at the meeting of any two planes of the sides of the window is called an angle bar. then there are mouldings on the other bars, the angle bars should be made to mitre with the horizontal bars on either side Of them. The manner of finding the section of an angle bar, is shown under the term Raking MOULDINGS. ANGLE BRACES; when a quadrangular frame has a timber opposite each angle, fixed to each of the two sides forming the angle, and thereby making the inside Of the frame of an octagonal figure, the timbers so fixed, are called angle-braces, or diagonal ties, or angle ties ; the angles Of wall-plates are fre- quently braced in this manner. Also when a well-hole, ofa cir- cular section, is made through a roof or floor, for a sky-light, &c., the framing is first made quadrangularly; thei. braces J are fixed opposite to each angle, and the aperture becomes an octigon ; and lastly, pieces are again fixed in each angle of i the octagon, meeting each other in the middle of its sides, , so as to transform the section of the aperture into a circle, and thus the well-hole is shaped as required. ANGLE BRACKET. See BRACKETING. ANGLE RAFTER. See Hipped ROOF. ANGLE RIB, a curved piece of timber, placed between those two parts of a coved or arched ceiling, or vault, which form an angle with each other, so as to range with the com- mon ribs on each side, or return part. Examples will be seen under the articles DOME, GROIN, and Hipped ROOF. ANGLE-STAFFS, or STAFF-BEADS, vertical beads, generally of wood, fixed to exterior angles, flush with the intended surface of the plaster, on both sides, for the purpose of fortifying the angles against accident: they serve also for floating the plaster. Their section is about three-fourths of a circle, with a projecting part from the other quarter, by which they are fastened to the wood bricks, plugging, or bond-timbers. The section of angle-staffs is sometimes that of a triple bead, the middle one being larger than that on either side of it,‘and flush with it and the plaster. Angle- beads of wood, around the intradosses Of circular arches, are difficult to bend without cutting or steaming them ; the for- mer has a very unsightly appearance, and the latter is both inconvenient and troublesome: for this situation Of angle- beads, no other material will finish better than the plaster itself; and it will be sufficiently strong, as at that height it is more out of the reach Of accident. Whenever wooden and plaster beads are employed in the same margin, or angle, they should never join each other, but should always have an impost to intervene, as, otherwise the joint will show. In grand finishings no corner beads are employed ; but the plaster is well gauged, and brought to an arris. ANGLE TIES. See ANGLE BRACEs. AN GULAR, something relating to angle. ANGULAR CAPITAL, is generally applied to the Scam- mozzian, or modern Ionic capital, which is formed alike on all the four faces, so as to return at the angles of the build- ing, as in the Temple of Concord. It is also applied to those capitals of Grecian edifices which had two fronts alike on each angle of the building, in order tO face the front and flank alike, and to correspond to the other capitals, upon the columns ranged in the flank, as well as in the front. See PLATE. ANGULAR CHIMNEY, one which stands in the angle of an apartment. with the plane of its breast intersecting the adja- cent walls. For the method of measuring angular chimneys, see CHIMNEY. ANGULAR MODILLIONS, those which are placed at the return Of a cornice, in the diagonal vertical plane, passing through the angle or mitre of the cornice. As angular modillions are not to be traced among the ruins of Grecian edifices, it may be concluded, that they were seldom or never used by the Greeks ; nor are they to be found among the ruined edifices of ancient Rome: it is however probable, that they may have been used in the decline Of the empire, since they are to be seen in the remains of the palace of the emperor Diocletian, at Spalatro, in the vestibulum, and in the temples of Jupiter and .ZEsculapius. The ruined cities of Balbec and Palmyra exhibit many specimens, in the large porticos, and in the entablatures of doorways. ANNULAR VAULT, a vault supported upon two circular walls ; such as the temple of Bacchus, at Rome; the Temple church, London; the church of the Holy Sepulchre, at Cambridge, &c. ANNULETS, (from the Latin,annulus, a ring,) the annular fillets between the hypotrachelion and echinus Of the Doric capital. In the Roman Doric, they are generally three in number, and of equal size, with rectangular sections. One side of each annulet is a horizontal sotfit, seen from below, the other is a. vertical cylindrical surface, having the same ANT APA axis with the column, the projection of each sotfit being equal to the height of its respective vertical side. In the axisal section of the Grecian Doric, except in the case of the Doric portico at Athens, the number of annulets vary from three to five; the sinkings between each two follow the line of the echinus, and the outer sides of the fillets form a curve parallel to that of the sinkings ; the upper side of each is perpendicular to the curve, and the lower side is concave towards the space between each two: the concavity begins in a direction per- pendicular to the curve of the moulding ; the flutings of the shaft of the column terminate under the lowest annulets. There are also other names by which an annulet is sometimes called, as cincture, fillet, and list, or- listella, which are equally applicable to rectilineal members, and therefore should never be used but in a general description, where there is some common property to be explained, as they do not particularly imply circularity. ANNULUS, a Cylindrical Ring, a solid formed by the resolution of a circle about a straight line without the cir- cumference as an axis, and in the plane of the circle. For the method of measuring an annulus, see MENSURATION. ANTJE. When the two parallel side-walls or flanks of a temple, or other edifice, are protruded or lengthened out beyond the end of the building, and when each of the two projections is covered with a vertical body, projecting on each side, of the thickness of the wall, having a base, a pris- matic trunk, and a capital, similar to a pilaster ; then these bodies, or terminations, are called antce. The breadth of the antze on the flanks of the temple was always less than in the front; and the two edges of the anta: which faced each other within, and on the sides of the pronaos, were equal to the diameter of the columns placed between them, while that of the opposite, or outsides of the flanks of the edifice, was much less. The capitals of the antac never cor- responded with those of the columns, though the mouldings were more or less enriched, as the order had more or fewer decorations. In the temple of Minerva Pollias, and the tem- ple of Apollo Didymaeus, in Ionia, the capitals of the antze have a strong resemblance to those of the columns; they having also volutes, though not of the same proportion, nor depending in the same way ; as these are hung to an upright, and those to a horizontal hem, connecting the two. Anta: differ from pilasters, not only in their capitals, but also in their situation. A portico is said to be “in antis” when columns are placed between the two antte. See TEMPLE. ANTECHAMBER, (from the Latin, ante, before, and camera, a chamber,) an outer chamber, before a principal one, where servants wait, and strangers are detained till the person to be spoken with is at leisure. AN TEFIXJE, blocks with vertical faces placed at regular intervals on the uppermost member of a cornice, for the purpose of hiding the ends of the covering or joint - tiles of the roof. The faces of antefixre are usually carved with some ornamental device, as a. flower, leaf, &c. ANTEMURAL, (from ante, before, and mums, a wall,) an outer wall, environing the works and walls of a fortified place, in order to prevent the enemy from approaching too near. In some writings, it signifies the same as an outwork. AN'l‘El’AGMENTA, or ANTIPAGMENTS, (from Greek avn, mryvvpt, tofi.r,) in ancient architecture, the jambs of a door moulded like an architrave. The lintel returning at the ends, with similar mouldings, down upon the antipag- menta, was called the supercilium. Also ‘arved ornaments of men, animals, &c., placed on the architrave. ANTERIDES, in ancient architecture, the buttresses erected to strengthen a wall: they are called in Greek, epswpara, and answer to what our modern builders call counterforts, and arc/Mutants; by the Italians they are called barbicane, and speroni, or spurs. They are also sometimes Called antes, sometimes crismce. AN'l‘E-ROOM, a room through which a person must pass, in order to enter into another room. In many constructions of houses, there is a necessity for introducing ante-rooms, from the peculiar arrangement of the plan ; and in many situations, besides being useful, they add both grandeur and elegance to the design. ANTES. See ANTE. ANTIIEMIUS, a distinguished architect, a native of Tralles, in Asia Minor, and employed by the emperor Jus- tinian in the construction of various edifices, particularly the church of St. Sophia, at Constantinople, which he designed, and also superintended 10,000 workmen in its execution. Anthemius was also a sculptor, a mathematician, and an experimental philosopher. ANTICS, figures of men, beasts, &c., placed as ornaments to a building. ANTICUM, the porch before a door; also, that part of the temple which is called the outer temple, and lies between the body of the temple, and the portico. ANTIPORTICO, a word sometimes used to denote a yes- tibule, or porch, at the entrance of an edifice ANTIQUARIUM, among the ancients, an apartment in which their antique monuments were preserved. ANTIQUE, in a general sense, denotes something an- cient; but the term is chiefly employed by architects, sculp— tors, and painters, and applied to works, in their respective professions, executed by the Romans, or others anterior to their time; such as the Colosseum at Rome, the temple of Minerva at Athens, 8:0. ANTIQUES, a mixed composition of the effigies of men, inferior animals, utensils, and implements of war, with foli- age, flowers, and fanciful ornaments. The ornaments on the walls of the Vatican. at Rome, painted by Raphael, are of this kind, and were imitated from the grottos of the baths of Titus, of which there were ample remains in his time. This species of decoration is frequently called arabesque, or grotesque; the latter is the more correct appellation, as the former applies solely to Arabian ornaments, which consisted of foliages and fruit, without any animal representations. ANTI S. See TEMPLES, AXLE. AN' ‘IS'I‘ATES, one of the architects employed in raising the foundation of the temple of Jupiter Olympus, at Athens. ANTONINE COLUMN, a pillar, of the Tuscan order, erected in Rome, by order of the senate, to the memory of the emperor Antoninus. It is 175 feet in height, viz, 168 feet above ground, and 7 feet beneath the surface; and has a. winding staircase, with 198 steps in the ascent, and 56 windows, or loop-holes. The sculpture, and other parts. are similar to those of Trajan’s column, but the work is greatly inferior. See COLUMN. APART, the distance between the nearest surfaces of any two bodies. This term is much used in building, particu- larly in the art of carpentry; as, joists are placed from eleven to twelve inches apart. APARTMENT, any part of a house that is walled round, and that may he entered through doors; as kitchen, vesti- bule, saloon, dining-room, drawing-room, chamber, closet, library, passage, &c. All the apartments, on the same floor, taken collectively, when opening one into another, without an intermediate passage, are called a suite of apartments. The word apartment may also denote a portion of a large house, wherein a person may lodge separately, having all the conveniences requisite to make a "'implete habitation APA 9 APA A complete apartment is said to consist of a hall, a chamber, an ante - chamber, a closet, and a cabinet, or ward-robe. , When an apartment has one or more of its sides conti- guous to one or more of the exterior walls, and has no other apartment above, it may be lighted either through apertures in the vertical sides of the exterior walls, or by a skylight, as may be found most eligible. When an apartment is contiguous to one or more sides of the building, but has one or more apartments above, it becomes necessary to light it from apertures in the external walls. Dining-rooms, withdrawing-rooms, and bed-chambers, are more Conveniently and agreeably lighted from the exte- rior walls, than from the roof. When an apartment is surrounded on all sides by other apartments, but has no other above, it may be lighted by a skylight; or, if its height exceed the height of the adjoin- ing apartments, it may be lighted from windows in the sides, above the roofs of the surrounding apartments. A saloon, a staircase, or a dome, is more elegantly lighted in this manner, than in any other. \Vhen several contiguous apartments, above each other, are surrounded on the sides, they may either be lighted horizontally through the sides by borrowed lights, or verti- cally, through apertures in the several ceilings and the roof. Sometimes the situation of passages renders it necessary to light them in the latter method, by forming apertures through the several ceilings and the roof, over each other, with a sky- light at the top, and rails round the openings in the floor. Granaries and warehouses, consisting of several stories, and surrounded with buildings, cannot be lighted in any other way, than from skylights in the roof, and apertures through the several floors, vertically over each other. To save room, the space allotted for the passages, upon each floor, may be directed across the openings, and the openings may be rib— bed or latticed with strong bars, for walking upon. The method of proportioning and finding the number of apertures for lighting an apartment or room, will be seen under the article WINDOWS; and the proportion of chimneys to the cubature or side of apartments, is shown under the article CHIMNEYS. What relates to the ceilings of apartments, will be found under the articles, CEILINGS, COMPARTMENT CEILINGS, and VAULTS. The proportions of apartments depend much on their use. The length of rooms may be extended from once to twice the breadth, and galleries even to three or four times. It is, however, to be observed in general, that the greater the cubature of the room, the greater also must be the ratio of the dimensions of the plan. Thus the dining-room, or withdrawing-room, in a very small house, may be square, but that in a large edifice may be a double square, or less, according as the disposition of the plan of the building may turn out ; the length of the largest rooms should, however, never be less than once and one-third of their breadth. As tn the height, it may be three-fourths of the breadth, when the ceiling is flat and equal to the breadth, or once and one- t'ourth of the breadth, when the ceiling is covered or arched, according to the rise of the arch. It may be thought, that there might be some ratio between the height and length, but this idea vanishes when it is considered, that the eye can only take in a certain portion of the length, and therefore the comparison must be made with the breadth. If the apartment be a principal passage, its breadth may be one~third of the breadth of the principal room; and if it be a by-passage, or that of a very common house, its breadth may be one-fourth of the breadth of the principal room: D the height is the height of a story; but the length is inde- finite. With respect to the staircase apartment, the area occupied by the floor depends on the height of the story, the rise and tread of the steps, the Formation of the plan, the number of quarter or half paces, and the size of the passage, or lobby, at the beginning or landing ; also whether the stair be made single or double ; or whether it consist of one or two revo- lutions in the height of the story. The propprtion of the dimensions of the plan of the staircase depends on the pro- portion of the individual dimensions of each apartment, the proportion of the area of the plans to one another, and their disposition. A principal staircase should never consist of two revolutions. The more of an oblong the plan of a staircase is, the less room will be required, provided the going of the steps be placed in the breadth, and that each flight on the opposite sides consist of an equal number of steps, connected by windows, between the flights; since by such means the lobby and landing above are shortened, and also less room is occupied by the newal. What further relates to staircases, will be seen under the article STAIRS. To preserve the best possible proportions in a floor of apartments, the principal rooms may have flat ceilings ; the middle—sized ones may have their altitudes reduced by intro- ducing cove and flat ceilings, cylindrical vaults, domes, groins, &c., as may be most suitable to their heights; and the smallest rooms may have mezzanines over them, wherever they are accessible to back stairs: but when the disparity is great between the height of the principal rooms, and those of the middle size, the whole of the rooms in the suite, except the principal ones, may have mezzanines above; the middle-sized rooms may have flat ceilings ; and the smaller rooms arched ceilings. Mezzanine apartments are not only necessary on this account, but they may be employed with great advantage, since they afl'ord servants’ lodgings, baths, wardrobes, &c. In buildings where beauty and magnificence are preferred to economy, the halls and galleries may be raised to the height of two stories. Saloons are most frequently raised the whole height of the building, and have galleries at the height of the stories, around their interior circumference, communi- cating with the various apartments. In general the area occupied by the saloon, may be half of that occupied by the dining-room, drawing-room, or principal-room. The walls of apartments may be ornamented with columns, pilasters, entablatures, niches, recesses, panels, &c., as also with foliated and other enrichments. When an apartment is adorned with an entire order, the entablature may occupy from one-sixth to one-seventh part of the height of the order, or of the room itself, when the ceiling is flat. If a cornice, frieze, and astragal are executed, instead of the full entablature, their height may be equal to one-tenth. If a cornice only is executed, its height may be one-twentieth or one-thirtieth part of the height of the room. In general, all interior proportions and decorations should be smaller and more delicate than those of the exterior: pilas- ters should not project more than one-eighth, or one-tenth of their breadth; and architraves round apertures should, in most cases, not exceed one - seventh of the opening. When the sides of rooms are straight, and are adorned with columns or pilasters ranged the whole length of each side, the columns or pilasters may be either single or coupled, as the piers of the windows may admit: if each extreme pier be equal to, or more than the half of each intermediate pier, the columns or pilasters may be placed single, or in couples, as the breadth of the intermediate piers may allow; but if each eXtreme pier, or one only of them, be less than the half APE 10 APP of each intermediate pier, it will then be necessary to couple the pilasters. If one of the extreme piers is greater than the other, the former may be made equal by forming the end of the room Cylindrical; if each extreme pier exceed the breadth of each intermediate pier considerably, then both ends may be formed into cylindrical surfaces, or otherwise columns may be introduced at each end, and the entablature eon- tinued over the columns; the recesses also may be adorned in a different manner, or one of the ends may be made cylin- drical, and the other colonnadcd. Apartments of a quadrangular plan are either constructed so as to have the same symmetry on the opposite sides; or to have, no corresponding symmetry whatever, on either pair of these sides. When bows are introduced into apartments, they are generally at the ends; but if upon one or both sides, they should be proportioned to the length. Sometimes, in very large apartments, with a fireplace at each end, two bows are introduced. In the best houses, kitchens, halls, servants’ rooms, and water—closets, are frequently wainscoted to the height of about four and a half feet, and coped with a neat moulding, which is generally a bead. Halls, passages, staircases, and bedrooms, have frequently bascs without dado, or surbases. Principal rooms have always complete pedestals. Apartments laid with stone- pavenients, should have stone plinths, with wooden bases. All further information respecting the finishing of apart- ments, will be found under the heads, CEILINGS, COan'r- MENT CEILINGS, VAULTS, Doons, WiNnows; and other par- ticulars relating to distribution will be found in the article DESIGNING. APERTURE, an opening through a body. An aperture in a wall has generally three straight sides, two of which are perpendicular to the horizon, and the third parallel to it, connecting the lower ends of the vertical ones. The stones forming the perpendicular sides are called jambs, the level side below is called the sill, and the upper part is called the head. The head of an aperture is either an arch, or a single stone, or beam. Aperturcs are either made for entrance, light, or orna- ment. See Doon, RECESS, and WINDOW. A narrow aperture may be covered with a single stone, to such horizontal dimension as may be found convenient to raise from the quarry. When the aperture is wide, stones in separate pieces may be joggled together, in order to form a straight arc/z, as it is absurdly called by workmen; or the same kind of arch may be made with radiating joints concealed within the thickness of the wall, and vertical joints on the front, secured by strings or cramps of iron, if necessary; when an aperture is very wide, it becomes necessary to arch it over. Too great a variety of apertures in the same front ofa building destroys its uniformity. The ancient Greeks and Romans made the sides of aper- tures frequently incline toward each other at the top. Apertures are sometimes made quite circular or elliptical; but these forms are not in general use. In apertures of stone—work, if thejambs be of one entire piece, every alter- nate stone in the height of the aperture, next to the jambs, should be bond-stones; likewise, if the jambs consist of sevnral stones in the height, every alternate jamb—stone should be, a bond-stone. See STONE VVALLS and WINDOWS, in MASONRY. When the heads of apertures are arched, they require to be supported on centres while building; the method of con- structing which is shown under the article CENTRE. ”PICK, the highest point or summit of a structure. AI’ODYTERIUM, (awoéulut, to put qfifi) an apartment at the entrance of the ancient baths, wherein the bathcrs undressed. APOLLODORUS, a most distinguished architect, born at Damascus, who flourished in the reigns of the emperors Trajan and Adrian, about the beginning of the second cen- tury. Under the former, he built the stone bridge over the Danube, which was esteemed one of the most considerable undertakings of that prince: he also raised several edifices round the forum Trajanum, at Rome, among which were the sculptured column of Trajan, still existing, and a triumphal arch. _ Historians relate, that as Apollodorus was once conversing with Trajan about some architectural designs, Adrian inter- fered, and gave his opinion, which was treated by the artist with contempt: “ Go,” said he, “and paint gourds, (an amusement which he knew Adrian to be fond of); for you are very ignorant of the subject on which we are convers- ing.” This atfront was not easily to be forgiven or for- gotten; accordingly, when Adrian had succeeded to the empire, he sent to Apollodorus the plan of a temple he pur- posed erecting in honour of Venus, and desired to have his opinion, which, however, he did not intend to follow, being only desirous to show that he could do without his services. Apollodorus wrote his opinion freely, and pointed out such essential faults in the design, that the emperor could neither deny nor remedy them. But instead of acknowledging the merit and genius of the artist, Adrian threw himself into a violent passion, and banished him; and some time after- wards, under pretext of some supposed crimes, ordered him to be put to death. APOMECOMET RY (from (mm, from, [.an09, distance, pupae), to measure) the art of measuring things at a dis- tance. APOPIIYGE, (mrmpvyuv) a concave quadrantal mould- ing, joining two vertical members of ditli'rent horizmrtal projections, and forming an exterior angle with that which has the greatest projection, and a tangent with the other. The apophyge is used in the Ionic and Corinthian orders, for joining the bottom of the shaft to the base, as Wt‘ll as to connect the top of the shaft to the fillet under the astragal. The word is originally Greek, and signilies .flig/lt; and the French call it by a term which implies escape. linglish architects and buildc ‘s also call it the scape or spring of the column. See COLUMN. APOTHECA, (from a-rrortflnpt, to lay aside,) among the allelents, a store—room. APOTIIESIS. See ArornroE. APPEARANCE, in perspective, the projection ofa figure, body, 850., beingr the same as the representation of an original object. See l’nnsrnc’rivs. APPLICATE, in geometry, a right line drawn within a curve, and bisected by the diameter of the curve, otherwise called an ordinate. APPLICATION, in mensuration, the art of applying one thing to another by approaching or bringing them together; thus any number of magnitudes of the same kind, may be compared together by the successive application of a small magnitude of the same kind to each of them. ArrLICATloN, in geometry, the act or supposition of placing one figure upon another, to find whether they be equal or unequal, which seems to be the primary mode by which the mind first acquires both the idea and proof of equality. In this way the first principles of geometry are demonstrated. Thus, if two triangles have two sides of the one equal to two sides of the other, and the angle included br. also equal. the" the two triangles are themselves equal in every respect. ABA 1] ARC Conceive the one triangle to be so placed upon the other, with the two corresponding equal sides upon each other, the angles included by these sides being equal, the other sides will also coincide, and the two figures will agree in all respects. The same may be observed of other figures. APRON, in plumbing, the same as FLASHING, which see. APRON, a platform, or flooring of plank, raised at the entrance of a dock, against which the gates shut. APRON-PIECE, or PITCHING-PIECE, a horizontal piece of timber in a wooden double-flighted stair, for supporting the carriage pieces or rough strings, and joistings in the half spaces or landings. The apron-pieces ought to be firmly wedged into the wall. See S'I‘AIRS. APRON—LINING, the facing over the apron-piece. APSIS, (from Greek adug, an arch,) a term generally applied to any projecting portion of a building, having a semicircular or polygonal plan, and vaulted roof. In eccle- siastical structures, it signifies that part where the altar is situate, and which is reserved exclusively for the clergy. It differs from chancel in having the form above described. See CHANCEL. APSIS GRADATA, a term peculiarly used for the bishop's seat or throne, in ancient churches, as it was raised on steps, above the ordinary stalls. It was also denominated exedra, and in later times, tribune. APTERAL, a building without columns on its flanks or sides. APYROI, (from a, 7rvp, fire,) a name given by the ancients to altars, on which sacrifice was offered without fire. In this sense the word is in contradistinction to empyroi. AQUEDUCT, or AQUEDUCT, (from Latin aqua, water, and duco, to lead,) a construction upon or through uneven ground, for the purpose of forming a level canal for conduct- ing water from one place to another. Aqueducts were formed either by erecting one or several rows of arcades across a valley, and making these arcades support one or more level canals, upon one or each of the ranges, or by piercing through mountains which would have interrupted the watercourse. They were built of stone or brick, and covered with a vaulted roof, or with flat stones, to shelter the water from the sun and rain. Some aqueducts were paved; but others conveyed the water through a natural channel of clay, to reservoirs or castclla of lead or stone, whence it was brought to the houses by leaden pipes. Aqueducts had also ponds disposed at certain distances, where the sediment of the water might be deposited. When the water was conveyed under ground, there were openings at about every 2-10 feet. Some of the Roman aqueducts brought water from the distance of sixty miles, through forks and mountains, and over valleys, in places more than 109 feet high. The inclination of the aqueduct, according to Pliny, was one inch, and, according to Vitruvius, half a foot in the hundred. The proportion adopted by the moderns is nearly the same as that mentioned by Pliny. The prin- cipal aqueducts now remaining are—Aqua Virginia, repaired by Pope Paul IV.; Aqua Felice, constructed by Pope Scxtus V.; the Aqua Paulina, repaired by Pope Paul V. in the year 1611; and that built by Louis XIV. near Main- tenon, to convey water from the river Bure to Versailles. This latter is perhaps the largest aqueduct in the world, it being 7,000 fathoms long, is elevated 2,560 fathoms, and contains 242.arcades. \’ ARABESQUE, or MORESQUE, an Eastern style of orna- ment, consisting of a fantastic mixture of foliage, flowers, fruits, 8w. made use of both in painting and sculpture. Sometimes animal representations are introduced, but such are not strictly allowable. ARABO-TEDESCO, a style of architecture, exhibitmg a mixture of the Moorish, or low Grecian, with the German Gothic. Of this style is the Baptistry at Pisa, erected by Dioti Salvi, in 1152. It is a circular building, with an arcade in the second order, composed of pillars with Corinthian capitals and plain round arches; between each arch rises a Gothic pinnacle, and above it is finished by sharp pediments, which are enriched with foliage terminating in a trefoil. ARZEOPAGUS. See AREOPAGUS. AREOSTYLE, or AREOSTYLOS. See INTERCOLUMNIA- TION and COLONNADE. ARJEOSYSTYLE. See COLONNADE. ARBOR, the principal part of a machine, which serves to sustain the rest. Also the axle or spindle on which a machine turns. ARC (from the Latin areas, a bow) in geometry, a part of any curve line which does not consist of contrary curve- tures, for then two or more arcs would be formed, though in contrary directions. ARC OF A CIRCLE, any part of the circumference less than the whole. The line joming the extremities of an arc is called its chord. Arcs are named after the angles which they subtend or are opposite to, and are measured by such angles and the radii of the circles to which they belong ;—in other words, are varies as angle x radius. ARCS, concentric, are those that have a common centre. ARCS, equal, such as subtend equal angles in equal circles. ARCS, similar, such as subtend equal angles, whether in equal or unequal circles. ARCADE, a range of apertures with arched heads, sup- ported upon square pillars, or other columns. Arcades are sometimes employed to form porticos instead of colonnades ; and though they are not so beautiful, they are stronger, more solid. and less expensive. In such buildings, the utmost care should be taken that the piers be sufficiently strong to resist the pressure of the arches, particularly tht piers at the extremities, for they alone support the whole. The lateral pressure upon the extreme piers in the range, will be equal to that on the piers of a single arch, and all the intermediate piers will be without such lateral pressure; for the lateral pressures of any two adjoining arches upon the intermediate pier are equal, and being opposite they destroy each other’s effect: but the extreme pier having only one adjoining arch, must be sufliciently strong to withstand the horizontal thrust of that arch. The greater the weight or vertical pressure put upon the extreme piers, the more will these piers be able to counteract the thrust of the adjoining arch; consequently, if each extreme pier have to support a wall, the higher the wall, the less dimensions the pier requires. It is upon this principle, that the slender pillars, dividing the nave on either side from the aisle, in churches of the Saxon and pointed styles of architecture, are capable of withstanding the horizontal thrust of the groins; for if the insisting wall were taken away, the pillars of most of these buildings would not be able to withstand the thrust of the arches for one minute. Arcades were employed in triumphal arches, theatres, amphitheatres, and aqueducts of the Romans, and frequently in their temples: towards the decline of the empire, the intercolnmns were formed into arcades; but what relates to their history will be found under the article Anon. '.ARC 12 ARC Arcades may be used with propriety in the gates of cities, *aiaces, gardens, and parks: they are much employed in the piazzas or squares of Italian cities, and, in general, are of great use in affording both shade and shelter in hot and rainy climates; but they are nevertheless a great nuisance to the inhabitants, as they very much darken their apartments. Lofty arcades may be employed, with great propriety, in the courts of palaces and noblemen’s houses. There are vari— ous methods of decorating the piers of arcades, as with rustics, columns, pilasters, caryatides, persians, or terms surmounted with appropriate entablatures. Sometimes the piers are so broad as to admit of niches between columns or pilasters. The arch is either surrounded with rustic work, or with an archivolt, sometimes interrupted at the summit by a key-stone in the form of console, or mask, or some other appropriate ornament in sculpture. The archivolt rises sometimes from a plat-band, or impost, placed on the top of the piers, and at others from an entablature, supported by columns on each side of the arch. In some instances, the arches of arcades are supported entirely by single or coupled columns, without the entablature, as in the temple of Faunus, at Rome. This form is far from being agreeable to the eye, and it wants stability, as the columns would be incapable of resisting the lateral pressure of the arches, were they not tied together by a circular wall. In large arches, the key- stone should never be omitted, and should be carried to the 30th of the architrave, where it will be useful for supporting the middle of the entablature, which would otherwise have too great a bearing. \Vhen columns are detached, as in the triumphal arches at Rome, it is necessary to break the entablature, and make its projection in the intercolumns the same as if pilasters had been used instead of columns, or so much as is just suf- ficient to relieve it from the naked appearance of the wall: this is unavoidable in all intercolumns of great width; but should be practised as little as possible, as it destroys the genuine use of the entablature. Arcades should never be much more, nor much less, than double their breadth: the breadth of the pier should seldom exceed two-thirds, nor be less than one-third of that of the arcade; and the angular pier should have an addition of a third or a half, as the nature of the design may require. The impost should not be more than one-seventh, nor less than a. ninth; and the archi- volt not more than one-eighth, nor less than a tenth of the breadth of the arch. The breadth of the bottom of the key- stone should be equal to that of the archivolt, and its length not less than one and a half of its bottom breadth, nor more than double. In porticos, the thickness of the piers depends on the width of the portico and the superincumbent building; but with respect to the beauty of the edifice, it should not be less than one-quarter, nor more than a third of the breadth of the arcade. When the arcades form blank recesses, the backs of which are pierced with doors, windows, or niches, the recesses should be at least so deep as to keep the most prominent parts of the dressings entirely within their surface. In the upper stories of the theatres and amphitheatres of the Romans, the arcades stood upon the podiums or inter- pedestals of the columns, perhaps as much for the purpose of proportioning the apertures, as to form a proper parapet for leaning over. In Got/tic Al'c/iitecture—arcades, whether detached, or engaged, are of very frequent occurrence; more especially in the Transition and early English styles. Engaged arcades are very common indeed, and may be found frequently running round the interior walls of \a building, as at VVest- minster Abbey, the Chapter-House, Canterbury, and in innumerable other instances; in the conventual buildings at Canterbury is a very fine specimen of a detached arcade. The engaged form came into very extensive use with the intersection of the semicircular arch, and was employed in almost every situation both on the interior and exterior of buildings, as well as in the decoration of their furniture, such as fonts, Ste. The arcade indeed was a very prominent, if not the principal feature in all Gothic architecture, and is that which adds so greatly to the solemn grandeur of our noble cathedrals. This term is also applied to any arched covered way, more particularly to the close passages recently introduced, such as the Burlington and Lowther Arcades, which are used as pro- menades, as well as for purposes of trade. ARC-BOUTANTS, (from the French, arc, an arch, and banter, to abut.) See BU'rTnEss. ARCH. A structure composed of separate inelastic bodies, arranged in such a manner that their lower surface shall form the arc of a curve, being supported at its two extremities. IIistory. The invention of the arch has been assigned by different writers respectively to Babylonians, Egyptians, Greeks, Romans, and Etrurians. The claim made for the Babylonians rests principally on a passage found in Strabo, wherein he states, that the Hang- ing-Gardens were formed by means of arches: a. passage of Herodotus is also quoted, as favouring the supposition This historian, speaking of the great gates in the city-wall, relates, that Nitocris was buried in a chamber above one of them, and it 'is urged by the supporters of this opinion, that so heavya superstructure could not have been supported over an aperture of such dimensions by mere beams, or indeed by any other contrivance than that of the arch. On the other side it is argued, that Nitocris would have made use of the arch in the erection of her bridge, had the prin- ciples of its construction been understood, instead of the awkward appli -ation of horizontal timber beams; and with respect to the gateways, it is stated, that Herodotus, in this instance, speaks of janibs and lintels, and makes not the slightest mention of an arch. lit-sides, it is argued, if the arch was used to any extent, we should certainly find some vestiges of it in the ruins of that city, whereas the concurrent testimony of all travellers goes to prove that none such exist, while lintelling has been found in several instances, where the arch might have been applied with advantage. In favour of the Egyptian title to this distinction, we are referred to specimens of arched work still to be found in the remains of Egyptian temples. The first specimen pro- duced is from~ Abydos, where the root‘ is certainly of an arched form, but on inspection proves to be constructed of three horizontal stones; the centre one, which is the largest, overlapping the two side-ones. The under surface of these stones is cut out in such a manner as to form a semicircular arch. The other specimens adduced, are without doubt true arches, and if their antiquity be allowed. the question is at once set at rest. TheSe arches are found at Thebes, and are formed of four courses of bricks arranged in a semicircle. .If the fact of their antiquity, howeVer, be admitted, it is difficult to understand why the arch should not have been more generally, employed. The same reasoning may be applied in the case of the .Greeks, for, although it is said that true arches are found in their works, yet it seems probable that they were not in use previous to the second or third century before the Christian era. as, if so, we should naturally expect to find them employed in many cases where they would have proved 913.71: \‘y’\T3"\'_l\ ‘ " ‘ ‘ ' , . -~.4 LUNA. ARLH ,Lg‘uCX LN‘ALZSE’Z I ~-_-— . .. ,.. W7 ..- v-7~-;vr..p~qn w, v - ‘41: A.,_.A_:,;. ,2: ,. “I," ::.¢., :‘Jrup‘ngll: 5.“,M4'A1a47 ”551113513 ARC 13 ABC most useful. The general arrangement of their buildings would scarcely have been such as it is, if they had been acquainted with the principles of the arch. The first example of any arched construction to be found among the Romans, is that of the cloaca maxima, or public sewer, said to have been built by Tarquin. The identity of the existing remains with the original structure has been doubted, but in fact this is of no great importance, as there is no scarcity of examples of this kind, although of somewhat later date than the reign of Tarquin. There are some who assign the merit of the introduction of the arch among the Romans to the Etrusci, and who are not entirely without reasons for this assumption. They say that Tarquin brought this knowledge with him from Etruria, his native country, and that Etrurians were employed by him in the construc- tion of the sewer; others, however, refer the actual con- struction to Greeks. It is possible indeed that the Etrurians may have introduced this form of building, as it is well known that that people had arrived at some excellence in the arts at an early period, and also were in close commu- nication with the Romans ; be this, however, as it may, there can be no doubt that we are principally indebted to the latter people for the full development of the power and utility of the arch; whoever it may have been, who first became acquainted with the principles, whether Egyptians, Greeks, Romans, or Etrurians, there never was any doubt as to the people who carried its knowledge into execution. As far as the Greeks or their predecessors are concerned, we might have remained in utter ignorance as to the utility of this style of building. It is to the Romans we owe our practical knowledge on the subject ; they it was who made a worthy application of their knowledge, and put their theories into extensive execution; and although they em- ployed this form to a greater extent than perhaps good taste might sanction; yet this we judge to be the natural pro- cedure of any people upon first becoming acquainted with a principle of so peculiar a character and such unlimited usefulness. Although the Romans employed arches in the construction of their edifices, to a very great extent, yet they always confined them to one torm, namely the semicircular. It is to the architects of the middle ages we are indebted for the great variety of figure employed in this kind of construction; among others we may especially notice the pointed arch,——but for further information on this subject, we beg to refer the reader to that particular style of architecture. 0f the forms, do. of arches. Arches are named according to the curve assumed by them, as circular, elliptical, cycloidal, parabolical, hyperbolical, catenarian, &c.: circular arches are again subdivided according to the quantity of the circum- ference described by them, such as semicircular, segmental or surbased, containing less than the semicircumference, surmounted, horse-shoe or Moorish, containing more than the semicircumference. Arches are also denominated accord- ing to the method adopted in describing the curve, as two, three, or four-centred arches; also by the nature of the angle formed at the apex, thus, pointed arches are distinguished by the appellation of lancet, equilateral, and depressed. Further, there are arches of equilibration and of discharge ; askew and reversed arches. The separate masses or stones. of which the arch is com- posed, are called voussoirs or uf'C/l stones, the central or uppermost of which is called the key-stone. the lowermost, or those nearest the supports, springers. The highest point i: an arch is termed the vertex, or crown, the lowest line the springing line, and the spaces between the crown and springing line on either side, the lzaunc/zes, or flanks. E The under or concave surface is denominated the intrados, the upper or convex the extrados. The supports of an arch are called piers, abutments, springing walls or reins. Piers are distinguished from abutments, the former term being applied to a support to resist a vertical pressure, the latter an horizontal thrust. The upper parts of the supports on which the arch rests, or from which it is said to spring, are named imposts. The span of an arch is the width between the points, where the intrados meets the imposts on either side, which in the case of circular arches coincides with the chord of the arc: the rise is the height of the highest point in the intrados above the springing or spanning-line. Arches which have the curves of both intrados and extrados concentric or parallel, are said to be extradossed ,- and such as rise from supports at unequal heights, are called rampant arches. There are other kinds of arches, but these are more applicable to VAULTING, under which head they will be treated of. In order to avoid farther extending this article, we must refer the reader for the THEORY of the ARCH, to STONE BRIDGE. ARCH, TRIUMPEAL; an edifice erected by the Romans in various situations, but more especially at the entrances of their cities, in honour of victorious generals, and in later times of the emperors. These structures were originally built of brick, but afterwards of stone, or marble; their form was that of a parallelopipedon, having one, and often three, arched apertures in the longer side, decorated with columns, sculpture, and other embellishments; the whole being surmounted with a heavy attic. When three arches were employed, they were situate so as to have one large one in the centre with a smaller one on each side of it. Under the emperors, triumphal arches became very numerous, and were made of costly materials richly orna- mented. The oldest of such structures remaining in Rome is that of Titus, enriched with sculptures representing the triumph of that emperor. Two other arches erected in honour of Trajan are still in existence, the one at Ancona, the other at Benevento; the former is of white marble of chaste ornamentation, consisting in part of bronze statues; the latter has several fine relievos, and is in a state of good preservation. The above are single-arched; several, however, were constructed of three arches, amongst the most remark- able of which are those of Constantine and Septimius Severus; that of Constantine has been cleared of the soil which had accumulated to some height round its base, and is perhaps the most beautiful and complete of any at Rome, but manifests some discrepancies of parts, as it was built partially of old materials from an earlier monument of Trajan; that of Severus is a noble structure, but is much more dilapidated; it is sixty-one feet in height, seventy-one in length, and twenty-two in depth, the central archway is twenty-two feet wide, and thirty-six high, the side ones ten feet wide, and twenty-two feet high. But few structures of this kind have been erected by the moderns; amongst them, however, we may notice one triple arch of Bonaparte on the Place du Carrousel, and a much finer one at Milan. ARCHEION, the treasury, and most secret and retired place in Grecian temples, where not only the richest trea- sures appertaining to the deities were deposited, but also other valuable articles, which they were desirous of keeping secure. The practice of the Romans was very similar to that of the Greeks, but they confined the deposition of their public treasure to the temple of Saturn. ARCHITECT, (Greek apxog Terrwv, the chieffabricator.) In considering the correct application of this word, we Shall ARC l4 ARC not confine ourselves to any one period of time. as the word has been variously applied under different circumstances. We find the word flpxtTéKTwV employed by Herodotus, and also by Homer, in their respective works, who seem to have given to it a very extensive signification. In one and the same passage, (iii. 60,) Herodotus uses the term in two dif- ferent senses, for he speaks of the “ architect” of a tunnel for supplying water, as well as of the “ architect ” of the great temple of Samos. Homer uses the same term to sig- nify a carpenter, a house-builder, and also a ship-builder. It seems probable, then, that in these early ages, the word “ architect” was not restricted to any one signification, but was applied as circumstances required. In succeeding ages, however, when the more perfect civilization of mankind required structures not only more numerous and more ele- gant, but also in greater variety, and suited to multifarious uses, it was found inconvenient, if not utterly impracticable, for any single individual to qualify himself to superintend the construction of so great a variety of buildings. Thus resulted a division of labour: the duties of the “ architect” were alleviated by allotting to several the task originally undertaken by one. Thus arose the distinct duties of archi- tect and engineer, which are again subject to several subdi- visions, distinct departments of one grand and comprehensive whole. ARCHITECTOGRAPHIA, the description of ancient buildings, as temples, theatres, amphitheatres, triumphal arches, baths, pyramids, tombs, mausoleums, aqueducts, 8w. ARCHITECTURE, the art of building. Did we apply to this word the signification derivable from the original Greek, we should have before us a very extensive field for investigation. Custom, however, has limited the application of the term to the science of erecting artificial structures. The origin of this department of science is involved in impenetrable obscurity. .It is reasonable to expect that man, a being of acute feelings, should soon have sought out some method of protecting himself against the inconveniences to which his physical conformation rendered him obnoxious. Exposed to the vicissitudes of the weather and the variations of temperature, he must, at a very early period, have dis— covered some means of shelter and security; the method, however, which he adopted for effecting this object, is left entirely to conjecture. Various speculative opinions have been haaarded on the subject, remarkable for the most part not more for the inventive imaginations of their authors, than for the crudeness and absurdity of the speculations themselves. Vitruvius, the first writer on the subject, has given a very elaborate, if not very correct account of the contrivances of our primeval ancestors in the way of house- building; this account, strange to say, has been transmitted as an authority from time to time almost down to our own age, gathering in its progress additional strength from the names of those who have given credence to its manifold absurdities. In considering the subject, we must not forget that man- kind originally inhabited a warm climate, where the incle- mency of the weather was comparatively but little felt, and where consequently there was no need of such defences as in a. colder region. The chief inconvenience arose probably from the extreme heat, a natural retreat from which was found in the shelter afforded by the luxuriant foliage of the trees. \Ve might reasonably suppose that, as there was no necessity for a very substantial edifice, tents formed of the skins of beasts offered in sacrifice, or of other convenient substance, would have formed the primitive dWellings of mankind; this, however, there is some reason to suppose, was not the case, as we read that Jabal was the father of such as dwelt in tents, whereas Cain had built a city sometime before J abal’s birth. What this city was, we have no means of judging; of its materials and its form we are alike ignorant. The next mention made of a city in the sacred writings is that of Babylon, which was built by Nimrod; here it was that the famous tower 'of Babel was commenced, in the building of which, it is stated, burnt bricks and slime (bitumen) were made use of. The same Nimrod is related to have built Nineveh and three other cities. Whether the above were the first cities that were built after the flood is left doubtful, for we find no mention in the sacred history of any Egyptian cities, yet doubtless such must have existed at a very early period; we cannot, therefore, say for certain whether the sons of Cush or Mizraim took the precedence in such works; nor can we tell whether the buildings seen by Herodotus and other pagan historians were in any part the same as those whose erection is mentioned by Moses. These, as well as all other subjects connected with the early ages of mankind, must ever remain matters of mere conjecture ; yet with respect to the latter question, it does appear somewhat worthy of atten- tion, that Herodotus relates having visited, situate in the midst of Babylon, a tower of vast dimensions and unusual height; the coincidence of the two accounts is, to say the least, remarkable. If we allow the towers spoken of by the two historians to be identical, and also that the separation of mankind did not take place, at least to any extent, before the confusion of languages, we shall have no ditficulty in accounting for the remarkable affinity of the Persian, Hin- doo, and Egyptian architecture, especially with reference to the pyramidal form of their structures: we shall also be enabled to form some notion of the progress of mankind in this art, as well as of the nature and method of building at the period. We have hitherto been considering the first rise and pro- gress of architecture in the earliest ages of the world; we must bear in mind, however, that some people in later ages have, by some meansror other, lost all traces of the civiliza- tion of their ancestors. This fact may appear strange, but it is not our part to account for it in this place ; the fact is before us, startling perhaps, but undeniable notwithstanding. \Ve intend here briefly to consider, how those people, after having lost all their previous knowledge of architectural science, set about to regain it. And here we might intro- duce the theory of Vitruvius, but not, as he does, in the shape of a general fixed rule; for although it may be true, even in the majority of cases, that the first rude attempts in the erection of dwellings have been, as he states, of a conical form, yet this was by no means universally the case. The fact is, the method of building so much depended upon the character of the people, the nature of the locality inhabited by them, as well as that of its productions, upon the materials and resources for building, and lastly, upon the examples which nature more prominently set before them; that it is utterly impossible to lay down any rule as that by which mankind have been universally governed in the erection of their first structures. Although Architecture had its rise doubtless in the con- struction of buildings for the purposes of shelter and defence, yet it is no less certain that it is indebted for its rapid advancement, and its ultimate perfection, to the religious feelings of mankind. It is in the temples we look for beauty of design, for appropriateness of embellishment, for grandeur, ideality, and magnificence. Had it not been for religion, architecture would never have risen to that eminence which it so early attained in the sacred edifices of the ancients; and which haveattracted such universal admiration. It is i v science, we shall now give a very concise sketch of its pro- ARC l5 ARC to temples, then, we must look for the progress of a people in this great art; by them must we compare nations as to their advancement in skill, taste, and science, as well as in the general progress of civilization. Having thus far considered the origin of Architecture as a gress in different countries. Our very first steps in entering upon the history of Architecture are greatly impeded for want of trustworthy information on the subject. We are left in the dark as to what style may justly claim precedence in point of time. Following the account of the creation and civilization of mankind, as given by Moses, we should naturally enough look towards the East for the first origin of this, as of all other arts, and this supposition is confirmed as well by the concurrent testimony of history, as by the investigation of the remains of Eastern edifices. But although we may, without hesitation, yield the priority to the ancient Eastern edifices as a whole, we still meet with difficulties in assign- ing its proper position to each separate style. We should prefer to place the Babylonish or Persian architecture first on the list, as well for the reason previously assigned, as that, as far as we are enabled to judge from the specimens that remain to us in the ruins of Babylon, the buildings of this style appear to be of ruder construction than those either of India or Egypt. For this latter cause, we should give to Egypt the next place, as we find the sculptures of India of more rounded form, and more elaborate workmanship than the Egyptian. In endeavouring to give to each style its relative chrono- logical position, we do not mean to deny that they were equally indebted to each other for various improvements at different periods. We would especially instance the case of Persepolis, the principal specimen of Persian architecture remaining to us: here we find truly a great advance upon the architecture of Babylon, and we can have no doubt respecting the introduction of some peculiarities of the Egyptian style. Whatever doubts, however, there may remain concerning the relations of the above styles, sepa- rately, in respect of age, there can be none as to their general resemblance and affinity, or as to their position, taken as a whole, in the chronology of Architecture. Next in the order of age comes Grecian Architecture. Here again Vitruvius has given us some very fanciful sug- gestions respecting the prototype of the entire edifice, as well as the origin of its varied details; nothing, however, can be more absurd than his notions respecting the latter; and as to the former, he gives the Greeks credit for inventive genius, which certainly cannot lawfully be claimed for them. We may, with equally the same justice, yield to them their boasted title of avroxGereg, as their claims to originality in their style of building. Obscure as are the traditions respect- ing the colonization of Greece, we have ample evidence to show that it was indebted~ to Egypt, Phoenicia, and other parts of the East, for the majority of its inhabitants; add to this the similarity existing between the earlier styles of Grecian architecture, and those of Egypt and Persepolis, and there can, we think, remain no hesitation in assigning to the latter the origin of Grecian art. While, however, we refuse the claims of Greece to originality, we cannot forget how much we are indebted to her for the introduction of so many and valuable improvements. In her hands this department of art arrived at its greatest excellence, insomuch as to form a new era which for purity and chaste gran- deur has never been surpassed. The great distinction between the last mentioned and the Roman style is in the employment of the arch. The use of j the arch gave the Romans great advantage over all prevmus nations, and permitted of great variety in the construction of their buildings. This people aimed rather at utility than ornament; and although many of their buildings are well worthy of admiration on account of their appropriateness to the purposes for which they were intended, and even of some degree of beauty, yet they may not be compared with the purity and grandeur of Grecian taste. The Greeks were lovers of art for its own sake, the Romans for the sake of the benefits it afl‘orded them. ’We must not, however, consider the Romans as devoid of taste or original concep- tion, for they may claim the Corinthian order almost entirely as their own, and this says not a little for their appreciation of the beautiful. They had this advantage also over the the Greeks, that whereas the latter were confined to one plan, the parallelogrammic, which gave their structures a monotonous appearance, they, on the contrary, could vary the form in any way they deemed suitable; and this intro- duced the practice of grouping, or composition, as it is called. The introduction of another practice we owe to the Romans, namely, that of internal decoration. Thus, while the Greeks may claim the palm for purity of taste, the Romans take precedence in utility and variety of construction. Having thus considered the history of our subject from its earliest commencement to the perfect development of the great principles of construction, we deem it advisable to postpone the consideration of the later styles to their respect- ive heads. We have now arrived at the grand model of all future eras, and to which all modern styles owe their origin. The Romans, owing to their wide-spread dominion, have introduced their knowledge of the arts throughout almost the entire world, and so their architecture has been the grand prototype of all succeeding ages. For although the variation of different styles from each other, and also from their com- mon pattern, be considerable, yet there can be no doubt as to the source from whence they all had their origin. It is true that at first sight, the elaborate edifices of the style known under the name of Perpendicular, seem to have but little affinity to the heavy Norman structure; and yet when the intermediate links are added to the chain by which they are connected, few persons will be found to question their im- mediate relation; and certainly the step between the Norman and late Roman requires but little explanation. Considering, therefore, the Roman as the foundation upon which medi- eval, as well as modern architecture was erected, we leave each style to be considered under its separate title. It is our intention to enter into a more minute investiga- tion of this subject under the following heads :—BABYLONIAN ARCHITECTURE, BYZANTINE, CELTIC, CHINESE,IEGYPT1AN, ENGLISH, ETRUSCAN, GOTHIC, GREEK, HINDOO, ITALIAN, MEXICAN, MOOEISH, NORMAN PELASGIAN, PERSIAN, POINTED, and ROMAN. ARCHITRAVE, (from apxor; chief; and trabs, a beam) that division of the entablature which rests upon the columns, and which may perhaps represent the linteling beam placed over the columns, and over the intercolumns, for supporting the cross beams, in the roof of the primitive wooden structure. In the remains of ancient Grecian structures, the archi- trave is of very great height, being nearly equal to the superior diameter of the column, and in some instances even more, as in the Doric temples of Theseus at Athens, Corinth, near the ancient city of that name, Paestum in Italy, and in the Ionic temple on the river Ilissus at Athens; but there are few or no instances where it is so high as to be equal to the inferior diameter. Examples in which the lowest architraves are to be found are the portico of Philip, king ARC 16 ARC of' Macedon, and the Doric portico at Athens; the altitude of the former being only thirty-eight minutes, and that of the latter forty minutes, or two-thirds of the bottom dia- meter. In the remains of Roman buildings, the architraves are low, being in most cases between two-thirds and three- fourths of a diameter. The lowest architrave in these remains is that of the theatre of Marcellus at Rome, which is only half a diameter. This proportion has been generally followed in the Doric order by the modern restorers of an- cient architecture. What relates particularly to the forms and parts of the architrave of each particular order will be seen under the heads of TUSCAN, Dome, IONIC, CORINTIIIAN, and ROMAN ORDERS. The soflits of the ar hitraves of Grecian buildings are always found to exceed he upper diameter of the columns; but in the Roman they are equal. In the Saxon and early Norman styles of architecture, arches rise from the capitals of the pillars, instead of being linteled by the architrave as in the Egyptian, Grecian, and Roman buildings: this is one of the most striking differ- ences between ancient architecture and the styles afterwards practised in the middle ages. _ ARCHITRAVE or A DOOR, a collection of members sur- rounding the aperture, of a section similar to the architraves of the Ionic, Corinthian, and Roman orders. The head or lintel is called the traverse, and the sides the jambs. Vitru- vius calls the jambs antepagmenta, and the head or traverse supercz’lium. In the remains of the edifices at Balbec and Palmyra, and in the palace of Diocletian at Spalatro, the architrave jambs are often flanked with consoles, which gives an apparent support to the cornice, and the cornice frequently rests upon the traverse, without the intervention of the frieze; but the flank pilasters under the consoles are scarcely to be met with among ancient ruins, though practised by the modern Italians, and represented in their works. This is however an improvement, as it diminishes the apparent weight of the top, by spreading out the lower part. The proportion of the architrave to the aperture, in ancient edifices, varies greatly: the usual proportions given by the moderns is from one-seventh, to one-sixth part of the open- ing. When the architrave jambs are flanked with pilasters and consoles, the breadth may be one-seventh of that of the aperture, and the breadth of the pilasters two-thirds of that of the architrave; but when it is unaccompanied with these ornaments, it ought not to be less than a sixth part of the breadth of the aperture. In the ruins of Roman and Grecian buildings the archi- trave rests upon the floor, and has no flanking consoles; but in the ruins of Balbec they are supported by plinths. When there is too much surface of naked wall on each side of the architrave jambs, the sides of the architrave may be flanked with pilasters and consoles, in order to reduce the naked, and proportion it to the dressings Of the front. The dressing of an aperture may be heightened by adding a cor- nice, or a cornice and frieze, as the space above will admit; and if the space above requires further diminution, the alti- tude of the dressing may be still further increased, by sur- mounting the cornice with a pediment. When the material of the architrave is stone, the jambs are either built in heights corresponding to the courses of the naked of the wall, or if stones can be procured, each jamb is made of one entire piece, or sometimes in two or three, according to the difficulty of raising them from the quarry. When they are coursed with the work, every alternate stone should be a bond-stone, and, if the jambs are in one height, or not coursed, every alternate stone in the altitude of the naked, adjoining each architrave jamb, should be a bond-stone : the fewer pieces the architrave jamb consists of, the more beautiful will the work appear, therefore one is preferable to several. In the arched apertures of ancient buildings, the jambs are seldom or never moulded as an architrave, but the arch is frequently ornamented with members of an architrave sec- tion : these members are called the archivolt, which always rests upon imposts. The imposts project in most cases from the naked of the wall, and in a few cases form the capital of pilasters upon thejambs. ARCHITRAVE, in joinery, is one constructed of wood. Architraves may be wrought out of a solid piece of wood ; this, however, would be attended with a waste of both stuff and time. The best method is to glue it up in two or more longitudinal pieces, as may be judged proper from the combination of its parts. For a full description of this method, see J OINERY. ARCHITRAVE CORNICE, is an entablature which consists of an architrave crowned with a cornice, without the interven- tion of the frieze. There are few ancient examples where an architrave cornice is supported by columns or pilasters: the only ones which we can recollect are, that on the inside of the portico of the Pantheon, and the entablature of the third order of the Colosseum at Rome (if it may be so called) and that supported by the caryatides of the temple of Pan- drosus at Athens: the imposts of the arch of Septirnius Severus are also formed like an architrave cornice. The remains of antiquity exhibit many instances where the dressings of rectangular apertures are finished with archi- trave cornices,'as in the temples of Erectheus at Athens, Vesta at Rome, and in other ruins exhibited in Adam’s Spalatra, and in VVood’s Balbec and Palmyra. ARCHITRAVE JAMBS. See ARCHITRAVE OF A DOOR. ARCHIVAULT. See ARCHIVOLT. ARCHIVE, an apartment wherein the records or charters of a state or community are preserved, in order to be con- sulted occasionally. The word comes from the Greek apxatov, which signifies that part of their temples in which the public treasury was deposited. Colleges and monasteries had all their archives ; but that of the Romans was restricted to the temple of Saturn in particular. ARCHIVOLT, a collection of members on the face of an arch, adjacent to, and concentric with the intrados, supported upon the imposts. The word is derived from the French archivolte, which signifies the same thing as areas volutus. The archivolts in Roman and Grecian edifices are formed upon the face of the arch, with their section perpendicular to the curve of the intrados and the wall, and similar in figure to that wrought on the face of an architrave; the intrados being, in most cases, the surface of a cylinder, and, in some few cases, that of a cone. In the latter ages of the Roman empire, arches with archivolts were substituted instead of the horizontal entablature, by supporting the arches upon the capitals of columns as imposts. This inno- vation gave birth to that style of building most commonly known by the name of Gothic, and forms one of the most characteristic features of this style of building. The archi- volts of Saxon edifices were at first very similar to those of the Romans, but in process of time, the pillars became clustered with small columns, and each shaft of the clustered pillar had its separate capital; therefore, in order to make the bottom extremities of the arch bear equally on the tops of the pillars, it became necessary to form the archivolt in deep recession from the soffit, rather in a conical than a cylindrical surface. The archivolt was separated into several ASH l7 AST similar divisions, each one consisting of a collection of mouldings, 'with deep sinkings between. ARCS DOUBLE UK, the soflits of arches. AREA, in architecture, is the surface of the ground of a court, or the bottom of the part of an excavation sunk below the general surface of the ground, before the basement story of a building, and level with its floor. AREA, in geometry, is the quantity of surface on a body, or the superficial extent of any figure. ARENA, the plain space in the middle of the Roman amphitheatre, where the gladiators fought: the same term was also used by the Romans to denote the amphitheatre itself. This term is further applied to the body of a temple, including the whole space between the antae and extreme wall. ARENATUM, a word used by Vitruvius to signify a kind of plaster : mortar made up of lime and sand. AREOPAGUS, a place near Athens, where the Athenians held their court ofjustice. ARONADE, Embattled, a conjunction of several lines, forming indentations like the boundary of an embattled wall, except that the middle of every raised part is terminated by the convex arch of a circle, which arch does not extend to the length of that part. ARRIS, the intersection, or line, on which two surfaces of a body forming an exterior angle meet each other. This term is much used by all workmen concerned in building, as the arris of a stone, of a piece of wood, or of any other material. Though the edge of a body conveys the same meaning in general language as arris, yet, in building, the word edge is restrained to those two surfaces of a rectangular parallelopipedal body, on which the length and thickness may be measured, as in boards, planks, doors, shutters, and other framedjoinery. ARRIS FILLET, a slight piece of timber of a triangular section, used in raising the slates against chimney shafts, or against a wall that cuts obliquely across the roof, and in forming gutters at the upper ends and sides of those kinds of skylights that have their plane coinciding with that of the roof. When the arris fillet is used in raising the slates at the eaves of a building, it is then called the eaves-board, eaves- lath, or eaves~catch. ARRIS GUTTER. See GUTTERING. ARSENAL, a public store-house for depositing arms or warlike ammunition. ASAROTUM, a kind of painted pavement, used by the Romans before the invention of Mosaic work. The most celebrated was that painted by Sesus at Pergamus, which exhibited the appearance of crumbs, as if the floor had not been swept after dinner. ASHLAR, among builders, signifies common or free- stones, as they come from the quarry, of various sizes. ASHLAR, the facing of squared stones on the front of a building. When the work is smoothed or rubbed, so as to take out the marks of the tools by which the stones were cut, it is called plane ashlar. Tooled ashlar is understood to be that, the surface of which is wrought in a regular manner like parallel flutes, and placed perpendicularly in the building ; but when the surfaces of the stones are cut with a broad tool, without care or regularity, the work is said to be random-tooled: when wrought with a narrow tool, it is said to be chiselled, or boasted: and when the surfaces of the stones are cut with very narrow tools, the ashlar is said to be poznted. When the stones project from the joints, the ashlar is said to be rusticated: in this kind, the faces may either have a smooth or broken surface. Neither F pointed, chiselled, nor random-tooled ashlar are employed in good work: in some parts of the country, herring-bone ashlar, and herring-bone random-tooled ashlar are used. ASHLARING, is the act of setting an ashlar facing. 'ASHLERING, in carpentry, is the fixing of short upright quarterings between the rafters and the floor in garrets, in order to make more convenient rooms by cutting off the acute angles at the bottom. The triangular spaces on the sides are either left unoccupied, or formed into cupboards or closets. ASIMINTHOS, a large vessel used by the Greeks for bathing in. ASPHALTUM, a kind of bituminous substance, found sometimes in a solid, sometimes in a soft or liquid state, in various parts of the world. Aspecies of it discovered in Neufchatel, has been used with great success, as a cement for walls and pavements; it is very durable in air, and impenetrable by water. Of late years, various combinations of Asphaltum with other materials have been employed under the name of Asphalte, or Asphaltic Cement, for cover- ing roofs, floors, &c., and for other useful purposes. The best of these “ Asphaltes ” is that known as “ Claridge’s Asphalte of Seyssel,” which has a deserved reputation as an excellent pavement, and valuable material for the different purposes above named. ASSEMBLAGE, the joining or uniting of several things together, or the things themselves so united. Carpenters and joiners have various kinds of assemblages, as by mortise and tenon, dove-tailing, 8:0. ASSEMRLAGE on THE ORDERS, the placing of the columns upon one another in the several ranges, so that their axes shall be in the same straight line. ASSERS, in ancient carpentry, were the lathe which supported the tiles of the roof: from the projecting ends of ‘ these the denticulated cornice is supposed to have originated: they were not disposed horizontally, but according to the inclination of the roof; and hence Vitruvius forbids the use of dentils in pediments. AsssRs were also the ribs or brackets of an arched ceiling. ASTRAGAL, (from aspayahog, the heel-bone,) a mould- ing of a semicircular section, projecting from a vertical dia- meter. It is remarkable that Vitruvius does not mention any astragal between the shaft and the hypotrachelion of the Doric and Tuscan columns, as is to be found in the Doric of the theatre of Marcellus, at Rome; so that it is probable, the hypotrachelion might be formed without any mouldings what- ever, by making it recede in a small degree within the shaft, or by fluting it, as in the column of Trajan. This doctrine is also very conformable to all the Grecian examples of the Doric order;'for the hypotrachelion is separated from the shaft by one, two, or three annular channels, without any projecting moulding, and the flutes are continued upwards through tl” hypotrachelion, to meet the under side of the annulets In the Ionic order of the temple of Erechtheus, at Athens, the hypotrachelion is however separated from the shaft by an astragal; and in the temple of Minerva Polias, at the same place, they are separated by a plain fillet. In all the other numerous Grecian examples of this order there is no hypotrachelion: the astragal is placed imme- diately below the echinus. The same is to be found in the few remaining Roman examples of this order. In the Corin- thian and Composite orders, the astragal is never omitted between the under row of leaves and the shaft, except in the Corinthian of the monument of Lysicrates, at Athens, which is one of the oldest examples of this order; where, instead of the astragal, there is an annular groove, from which, and ig— ATR ATT from the beauty and delicacy of this example, it seems pro- bable that the astragal might be originally formed of a metal ring. The astragal is a moulding of very frequent application, not only at the upper ends of the shafts of columns, but also in their bases and entablatures. It is the simplest of all mouldings, and the only one which can stand alone by itself, and project from a plane surface without the aid of a fillet or straight part. The Greeks and Romans frequently cut their astragals into beads, formed alternately of oblate and prolate sphe- roids, or, instead of prolate spheroids, figures consisting of double cones, with cylindrical parts between, are intro- duced: this practice is followed by the moderns with various innovations. In the Egyptian architecture, we meet frequently with clusters of astragals, circumscribing the shafts of the columns; in various places dividing them into several compartments, of which some of them are frequently receded vertically with astragals. The capitals often join upon the tops of the shafts, Without any horizontal moulding between them. The astragal and torus are exactly similar figures: the only distinction is, that when they are compared with the other, in the same piece of work, the torus is large, and the astragal small, perhaps not exceeding one-third part of the diameter of the torus; but in most cases any propor- tion less, so that it may be sufficiently distinct. ASULJE, marble chips. ASYMPTOTE, a straight line, which continually ap- proaches to a curve without meeting it. ATHENEUM, or ATHENIEUM, the name applied in ancient times to public buildings erected for rehearsals and lectures. In modern times, the title of Athenaeum has been frequently given to establishments connected with literature and art, public reading-rooms, &c.; a celebrated club-house in London is called the Athenaeum. ATLANTES, ATLANTIDES, or ATLAS. the name given by the Greeks to the figures or statues of men used to sup- port entablatures with mutules instead of pilasters or columns. They were also called ZELAMOan and PERSIANS. In the architecture of the modern Italians, the Atlantes are often found supporting the entablature over an entrance to a palace or garden. At Milan there is a. colossal example of the former; and the rustic gate to the Farncse Gardens at Rome is a specimen of the latter. ATRIUM, a court or hall in the interior of the Roman noblemen’s houses, of an oblong plan. Three sides of the atrium were supported on columns, the materials of which, in later times, were marble. The side opposite to the gate was called tablz'num, and the other two sides alas. The tablinum was filled with books, and the records of what any one had done in his magistracy. It was in the atrium where the nuptial couch was erected, where anciently the family used to sup, where the mistress and maid-servants wrought at spinning and weaving, and where the clients used to wait on their patrons. The atrium was adorned with pictures, with statues of their ancestors, and with plate; and was usually the most splendid and important part of a Roman house. In later times, the atrium seems to have been divided into different parts, separated from one another by hangings, into which persons were admitted, according to their different degrees of favour. The atrium was frequently in ancient times confounded with vestibulum, which was only a recess on the exterior side of the building, and what is now called by the Italians loggia. Even Vitruvius, in chap. iii., book vi., confounds it with camedium, which was an enclosure still further within the interior. This author assigns three different proportions to the length and breadth of the atrium: the first is 5 to 3, the second 3 to 2, and the third is the ratio which the dia- gonal of a square has to its side. Their height to the under side of the ceiling is equal to their length, wanting a fourth part. The difference between the atrium of a city and country residence was this. that in the former it was placed near the entrance, and in the latter, the peristylium was placed between the atrium and the gate. The Greeks had no atrium in their houses. ples an atrium was to be found. ATRIUM, in ecclesiastical antiquity, a large open court before a church, making part of what was called the martian, or ante-temple: it was surrounded with a cloister or portico. In this apartment the penitents stood to beg the prayers of the faithful, as they went into the church; and here those remained who were not suffered to go further into the church. ATTIC, is a part of a building standing on the cornice, similar in form to that of a pedestal, and is either broken or continued. It is so named from its being supposed to have been first used in Attica. The use of an attic is to conceal the roof, and give greater dignity to the design. The Romans employed attics in their edifices, as may be seen in the remains of the triumphal arches, and in the forum of Nerva. In the arch of Constantine, pedestals are raised over the columns as high as the base of the attic, and these pedestals are again surmounted with insulated statues. In the ruins of Athens there are no attics to be found; except one over a Corinthian colonnade at 'I‘hessalonica, with breaks forming dwarf pilasters over the columns, and with statues placed in front of the pilasters, as in the arch of Constantine. The attic carried round the two courts of the great temple of Balbec, is also broken into dwarf pilasters over the columns and pilasters of the order ; and the dwarf pilasters have blocking courses over them, on which statues are supposed to have been placed. Attics are very dispro- portional in the ruins of these ancient edifices, some of them being nearly one half of the height of the order. The modems make their height equal to that of the entablature: as to the proportion of the height of the members, it may be the same as that for pedestals. The pilasters employed in attics are sometimes plain, and at other times panelled; they have no diminution, nor any regular base and capital. Attics are much used by the moderns, particularly by Italian architects ; and when applied to modern houses, they have frequently windows in the podium or dado. Amongst the best examples of the use of the attic in modern public buildings, may be adduced Somerset House, in the view towards the street. ATTIC BASE, is that which consists of an upper and lower torus, a seotia, and fillets between them. It is described by Vitruvius as follows :—-“ The bases are fixed in their places, and so proportioned, that, including their plinth, they have in height half the thickness of the column ; and in projection what the Greeks call empopav, clip/10mm a quarter : so that the breadth and length will be once and a half the thickness of the column. Their height, if they are to be attic, must be so divided, that the upper part is one-third of the thickness of the column, and the remainder is left for the plinth. The plinth being excluded, the remaining part is divided into four equal parts, and the upper torus has one-fourth: the: remaining three are equally halved : one-half makes the lower torus, and the other the scotia, which the Greeks call TPOXL\(:V troo/ailon, with its squares.” In some tem- AUG In many examples, both Grecian and Roman, the fillet over the trochilus projects as far as the most prominent part of the upper torus, and leaves a deep recess between the upper surface of the fillet and lower side of the torus. This base seems to be as much a favourite of the moderns as it. was of the ancients. ATTIC DOOR. See DOOR. ATTIC ORDER, a term improperly used to denote the pilasters which are frequently employed in the decoration of an attic. ATTIC STORY, a term frequently applied to an upper story of a house. ATTITUDE, in painting and sculpture, the posture or action in which a figure or statue is placed. AT TRIBUTES, in painting and sculpture, are symbols given to figures. AUDITORY, in ancient churches, the nave, where the people stood to be instructed in the gospel. AUGER, a carpenter’s and joiner’s tool, for boring large holes with, and formed of a wooden handle, and iron spindle, 19 AXI terminated at the bottom with steel. The modern angers are pointed and sharpened like a centre-bit, the extremity of one of the edges being made to cut the wood clean at the circumference, and the other to cut and take away the core. the whole length of the radius. AULA, a court or hall in the ancient Roman houses. AXE, a tool with a long wooden handle, and a cutting edge in a plane passing longitudinally through the handle. Its use is for hewing timber, by cutting it vertically: the adze being employed in forming horizontal surfaces. The axe differs from the hatchet in being much larger, and by its being used with both hands; while the hatchet is used with one hand only. Axes are also used by stone-cutters and bricklayers, the particular forms of which depend upon the quality of the materials. See TOOLS. AXIS, of a rotative figure, is the straight line passing through the centres of the circular sections at right angles to them. In a sphere, any right line passing through its centre may be the axis. B. BAB BABEL, a city and tower built by Noah’s posterity in the plain of Shinar. Its precise situation is not ascertained. It was however within the province of Shinar, and, probably, the ancient Babylon was but an enlargement of it. Its situation is supposed to have been on the north-west of Bagdad, on an extensive plain, between the Euphrates and the Tigris; as an extensive, insulated, shapeless heap of ruins is there to be seen, called the tower of Nimrod. In sacred Scripture we are informed, that the materials of which this tower was constructed were burnt brick, and slime for mortar. The slime was of a pitchy substance, similar probably to bitumen. See ARCHITECTURE. BABYLONIAN ARCHITECTURE. In commencing this article, we must premise that we cannot pretend to any detailed description, as the materials for such an undertaking are almost entirely wanting. An account of this style of architecture must needs be very imperfect, when the very situation of the ancient Babylon remains uncertain. This once vast city, the metropolis Of one of the great empires of the world, is now but one mass of undistinguishable ruins. Owing to the interest belonging to so ancient and power- ful an empire, much pains have been taken in the examination of the remains of the city, but so great is the confusion, that it has hitherto baffled the exertions of travellers to determine with certainty the situation and extent of any of the buildings mentioned by ancient authors: among the more successful of our modern travellers, we may especially mention the names Of Rich and Ker Porter; and among the ancients, those of Herodotus, Strabo, and Diodorus. We shall proceed to give an account of the city as described by the latter class of writers. Herodotus in his usual circumstantial manner, gives us a very exact and lengthened description. According to his account, the city was of a quadrangular form, four hundred and eighty stadia in circuit, divided into two districts by the river Euphrates: it was defended on all four sides by a deep trench and wall, of which the following is the method Of construction. In the first place, the earth was excavated to form the trench. and, as it was dug up, was carried in BAB masses of convenient size for bricks to the furnace, and there burnt; when this process was complete, the bricks were employed in lining the sides of the ditch, and erecting the superincumbent wall : the work was cemented together by bitumen, and bonded at every thirtieth course by layers of reeds. The wall on each side was a hundred and twenty stadia in length, fifty royal cubits in thickness, and two hundred in height : on the top, and on each side of it, was erected a row of houses of one story in height, facing each other, and leaving a space or roadway between them, wide enough to allow four horses to be driven along it abreast. Where the outer walls met the river, a return wall was carried along each opposite bank to fortify the city against attacks from this quarter, and behind th1s again another, but of smaller dimensions. In the four walls surrounding the city, were a hundred apertures or entrances closed by means of brazen gates, from each of which was con- tinued a street to the corresponding ones on the Opposite side, intersecting the roads which led from the transverse walls at right angles. Where the streets met the return wall along the banks, an Opening was made down to the river, provided with brazen gates. The city was filled with houses of three and four stories in height ; and among the most remarkable buildings, were the temple Of Belus and the palace, one in each of the principal divisions on either side of the Euphrates. The former is a very remarkable building on account of its supposed connection with .the tower of Babel mentioned in the Mosaical account of the colonization of the earth. Herodotus glves the following description :—The tower was of a square plan, surrounded by a wall of similar form, having each of its sides two stadia in length: the sides of the structure itself were only half this length, or one stadium. Our author does not give the height, but he states that the tower consisted of eight tiers, which gave to it the appearance of being composed of eight towers, placed one above the other ; but this in reality was not the case; such resemblance being occasioned by an inclined platform winding round outside the building, and thereby making eight revolutions : this platform formed the only means of ascent. About halfway up the incline, was BAB 20 BAB a resting-place, and at the highest extremity a large temple dedicated to the god Bel, or perhaps Baal: there was another chapel in this building, containing an image of the god, of which we have no particular description. Our historian further relates, that Nitocris having tem- porarily diverted the waters of the Euphrates by a course outside the city, embanked a part of the river, and made t descent into it from each of the gates in the return wall. This embankment was constructed of baked bricks in the same manner as the walls; a different material, however, was used by this queen in the construction of a stone bridge, or perhaps we should more correctly say piers of a bridge, as the roadway was formed of horizontal timbers, laid, as seems probable, from pier to pier. The beams were taken up at night, thus forming a kind of draw-bridge. In the piers, hewn stones were employed, which were securely connected together with iron and lead. Another remarkable work of this reign, was the erection of a building over the principal gates, to be used as a place of sepulture. Thus far Herodotus; later authors differ from him in several particulars, still however preserving the same general account, Diodorus considerably diminishes the size of the outer wall, both in length and height, but the difference in the latter is easily accounted for, as he relates their condition as they appeared after the time of Darius Hystaspes, who reduced the height to fifty cubits. Strabo also gives the circuit of the wall at three hundred and eighty five stadia. Diodorus further makes mention of two palaces, one on each side of the river, and connected by means of a bridge above and a tunnel below; he gives the circuit of the new palace as sixty stadia, that of the old thirty stadia ; the new palace was surrounded by circular walls, enriched with decorations of sculptured animals, painted in colours on the bricks, and afterwards burnt in. The connecting tunnel our author states to have been vaulted, being twelve feet in height, and fifteen broad. This palace also contained the hanging gardens said to have been built by Nebucliadnezzar for his wife the Median Amytis. The gardens, occupying aspace of ground four hundred feet square, consisted of terraces built one above theother until they reached a height equal to that of the outer walls of the city ; the terraces being supported on piers and arches, as stated by Strabo, over which were laid large flat stones, sixteen feet long by four in breadth, and above those a layer of reeds mixed with bitumen, covered with two courses of bricks in cement. The extreme covering consisted of thick sheets of lead, on which was placed the mould for the garden. The spaces between the terraces were formed into magnificent apartments, and on the highest terrace was a pump, by means of which a supply of water was raised from the Euphrates to irrigate the gardens. The ascent to the top was by steps ten feet in width. Strabo gives us one additional particular respect- ing the tower belonging to the temple of Belus, namely, the height, which he states to be one furlong; according to Wesseling’s reading, however, this particular is given by Herodotus. Such is the description afforded by the ancients; let us now turn to the investigations on this subject by modern travellers, and in doing so we shall take the liberty of laying before our readers the account given by Mr. Rich, who has examined the ruins of this city with perhaps greater care than any other‘ person. We must premise, that the site of the ancient city is a matter of dispute, but is allowed to be situate somewhere in the neighbourhood of I’lillah and Mohawill. This position has been determined upon on account of the mounds and heaps of ruins which are found dispersed about this quarter, on or near the banks of the Euphrates. “The ruins of the eastern quarter,” says Mr. Rich, “commence about two miles above Hillah, and consist of two large masses or mounds connected with and lying north and south of each other, and several smaller ones which cross the plain at different intervals. These ruins are termi- nated on the north by the remains of a very extensive build- ing called the Mujelibé, from the south-east angle of which proceeds a narrow ridge or mound of earth wearing the appearance of having been a boundary wall. This ridge forms a kind of circular inclosure, and joins the south—east point of the most southerly 0f the two grand masses. The river-bank, on the south-west of the tomb of Amram, is skirted by a ruin extending nearly eight hundred yards ; it is for three hundred yards forty feet perpendicular; a little above this is a piece of ground formerly the bed of a river ; here earthen vases with bones were found. From the east angle of the ruin on the river bank, commences another mound similar to that first mentioned, but broader and flatter; this mound is the most southerly of all the ruins. “ On taking a view of the ruins from south to north, the first object that attracts attention is the low mound connected with the ruin on the south-west of the tomb of Amram: on it are two small walls close together, and only a few feet in height and breadth. This ruin, which is called Jumjuma, and formed part of a Mohammedan oratory, gives its name to a village a little to the left of it. To this succeeds the first grand mass of ruins, which is 1100 yards in length, and 800 in its greatest breadth; its figure nearly resembles that of a quadrant; its height is irregular; but the most elevated part may be about fifty or sixty feet above the level of the plain, and it has been dug into for the purpose of procuring bricks. Just below the highest part of it is a small dome in an oblong enclosure distinguished by the name of Amran Ibn Ali. On the north is a valley of 550 yards in length, the area of which is covered with tussocks of rank grass, and crossed by a line of ruins of very little elevation. To this succeeds the second grand mass of ruins, the shape cf which is nearly a square of 700 yards length and breadth, and its south-west angle is connected with the north-west angle of the mounds of Amran by a ridge of considerable height, and nearly 100 yards in breadth. “ Not more than 200 yards from the northern extremity of this mound is a ravine, hollowed out by those who dig for bricks, in length 100 yards, and 10 feet wide by 40 or 50 deep. On one side of it a few yards of wall remain standing, the face of which is very clean and perfect, and appears to have been the front of some building. Under the foundations, at the southern end, an opening is made, which discovers a subterranean passage, floored and walled with large bricks laid in bitumen, and covered over with pieces of sandstone a yard thick and several yards long; the weight above has been so great as to have given a considerable degree of obliquity to the side-walls of the passage; the opening is nearly seven feet in height, and its course is to the south. The superstructure over the passage is cemented with bitu- men, other parts of the ravine with mortar, and the bricks have all writing upon them.” The souterrain widens consider- ably as you proceed farther. This passage seems to form part of the kusr, or palace, and may have been perhaps the tunnel alluded to by ancient authors. The principal portion of this ruin, to which alone the term ltasr is applied at pre. sent by the natives, is situate a little to the west of the ravine, and presents a remarkably fresh appearance, inso- much so, that Mr. Rich was not willing, until after a very close inspection, to allow its claims to being considered an original Babylonian remain. “It consists,” says he, “of BAB 21 BAB several walls and piers, which face the cardinal points, eight feet in thickness; in some places ornamented with niches, and in others strengthened by pilasters and buttresses, built of fine burnt brick still perfectly clean and sharp, laid in lime cement, of such tenacity that it is almost impossible to extract a brick whole. The tops of these walls are broken, and may have been much higher; on the outside they have in some places been cleared nearly to the foundations; but the internal spaces formed by them are yet filled with rub- bish, in some parts almost to the summit. One part of the wall has been split into three parts, and overthrown as if by an earthquake; some detached walls of the same kind, stand- ing at difi‘erent distances, show what remains to have been only a small part of the original fabric; indeed, it appears that the passage in the ravine, together with a wall which crosses its upper end, were connected with it. “ A mile to the north of the kasr, or palace, five miles from Hillah, and 950 yards from the river-bank, is a ruin called the Mujelibé, meaning the overturned; its shape is oblong, and its height, as well as the measurements of its sides, irregular. The sides face the cardinal points; the northern is 200, the southern 219, the eastern 182, and the western 186 yards in length; and the elevation of the south-east, or highest angle, is 141 feet. The western face, which is the least elevated, is the most interesting, on account of the appearance of building it presents. Near the summit of it appears a low wall, with interruptions, built of unburnt bricks mixed up with chopped straw, or reeds, and cemented with clay-mortar of great thickness, having between every layer a layer oi reeds; and on the north side are also some vestiges of a similar construction. The south-west angle is crowned by something like a turret, or lantern: the other angles are in a less perfect state, but may originally have been ornamented in a similar manner. The western face is lowest and easiest of ascent; the northern the most difficult. All are worn into furrows by the wea- ther; and in some places, where several streams of rain- water have united together, these furrows are of great depth, and penetrate a considerable way into the mound. The summit is covered with heaps of rubbish, in digging into some of which, layers of broken burnt brick, cemented with mortar, were discovered, and whole bricks with inscrip- tions are sometimes found. The whole is covered with innumerable fragments of pottery, brick, bitumen, pebbles, vitrified brick, or scoria, and even shells, bits of glass and mother-of-pearl. In the northern face of the Mujelibe, near the summit, is a niche, or recess, high enough for a man to stand upright in, at the back of which is a low aperture leading to a small cavity; whence a passage branches off to the right, sloping upwards in a westerly direction till it loses itself in the rubbish.” Receiving intimation that human remains had been discovered near this spot, our traveller commenced a strict investigation, and after exca- vating to some depth through a hollow pier, formed of fine bricks laid in bitumen, and in size sixty feet square, he met with several antiques, amongst which were a number of earthern vessels, some thin and highly gazed. Prosecuting his labours still further, another passage was laid open; this cavity was narrow, about ten feet high, composed of both burnt and unburnt bricks, the latter with a layer of reeds between every course, except the two lowest, where they were laid in bitumen. In this passage Mr. Rich discovered a wooden coffin containing human remains, which presented the appearance of being of great antiquity. To the north and west of this mass of ruins, and at about 70 yards dis- tant from it, runs a low mound, which may have formed an enclosure round the whole. The only ruin of any consequence to be found on the western side of the Euphrates is that which is termed by the Arabs the Birs Nemrond, and by the Jews Nebuc/zad- nezzar’s Prison; it is situate about six miles to the south- west of I-Iillah, and is perhaps the most remarkable of all the ruins. Mr. Rich gives us the following descriptiOn:—- “The Birs Nemrond is a mound of an oblong form, the total circumference of which is 762 yards. At the eastern side it is cloven by a deep furrow, and is not more than fifty or sixty feet high; but at the western side it rises in a conical figure to the elevation of 198 feet, and on its summit is a solid pile of brick, thirty-seven feet high by twenty—eight in breadth, diminishing in thickness to the top, which is broken and irregular, and rent by a large fissure extending through a third of its height. It is perforated by small square holes disposed in rhomboids. The fine burnt bricks of which it is built have inscriptions on them; and so excellent is the cement, which appears to be lime-mortar, that it is nearly impossible to extract one whole. The other parts of the summit of this hill are occupied by immense fragments of brickwork of no determinate figure, tumbled together and converted into solid vitrified masses, the layers of brick being perfectly discernible. These ruins stand on a pro- digious mound, the whole of which is itself a ruin, chan- nelled by the weather, and strewed with fragments of black stone, sandstone, and marble. In the eastern part, layers of unburnt brick, but no reeds, are to be seen. In the north side may be seen traces of building exactly similar to the brick pile. At the foot of the mound a step may be traced scarcely elevated above the plain, exceeding in extent, by several feet each way, the true or measured base; and there is a quadrangular enclosure round the whole, as at the Mujelibe, but much more perfect, and of greater dimensions. At a trifling distance, and parallel with its eastern face, is a mound not inferior to that of the kasr in elevation, but much longer than broad; on the top of it are two koubbe‘s, or oratories: round the Birs are traces of ruins to a considerable extent.” Having thus given a description of the ruins as they now exist, it remains to determine the identity between them, and the buildings mentioned by ancient authors. On this sub- ject great differences of opinion exist; the chief difficulty arising from the almost entire absence of any vestiges of building on the western side of the Euphrates : this it has been attempted to obviate in various ways. Major Rennell, the author of a “Geography of Herodotus,” is of opinion that the river has left its original bed, and formed a new channel for itself, which, he says, is a common occurrence in alluvial tracts of land, such as that upon which Babylon was situate ; he supposes the ancient course of the river to have been between the Kasr and Mujelibe. In favour of this supposition, he quotes the words of Mr. Rich, where he says that the valley on the north of the Amran Ibn Ali is covered with tussocks of rank grass ;—this, Major Rennell conjec- tures to have been the bed of the river. In opposition to this opinion, Mr. Rich states, that there are no sufficient grounds for supposing the river to have taken this course, but rather that the buildings seem entirely to preclude such idea; besides, he adds, every occasion was made use of to prevent the alteration in the course of the Euphrates in this neighbourhood; the possibility of such an occurrence was obviated by the artificial canals and cuts which were so numerous in this part of the country. He further accounts for the existence of the tussocks of rank grass, by the cir- cumstance of the river occasionally overflowing its banks, and on its subsidence, leaving some portion of its waters in the hollows; this appears, we must confess, in some degree to BAB 22 BAB invalidate his former argument; it does seem, however, some- what premature to suggest any material alteration in the course of the Euphrates, if difficulties can be accounted for by any other method; if any alteration is allowed to have taken place, it seems more reasonable to suppose the original course to have been through the ravine to the west of the ruins, especially as a number of bones have been found at this spot. The difficulty respecting the position of the river, however, is principally owing to Major Rennell's considerably contracting the dimensions of the city: he considers the statements of ancient authors respecting its magnitude as merely fabulous; but seemingly without any other reason than their improbability, or rather inaptitude, to our present notions of a city. If, however, present experience were to be universally applied, we should, with equal justice, deny the existence of many erections of which we have ocular demonstration, for instance, of the Pyramids and Sphinxes of Egypt. It is true that the circuit of Babylon, as given by ancient authors, is immense, but it is not entirely unaccounted for; for Quintus Curtius tells us, that nearly one-half of the city was occupied in gardens and other cultivated lands, and not, as modern cities, composed almost entirely of houses. Internal evidence also respecting the truth of his statement, is furnished by Herodotus, when he relates that, at the cap- ture of Babylon by Cyrus, the inhabitants of the interior parts were not aware of what was taking place until some time after the circumstances occurred. If we allow the account of the ancients to be correct in this respect—and indeed we see little reason to the contrary—our difficulty in determining the localities of the ancient city will be consider— ably diminished ; as we shall then be able to discover at least some remains on both sides‘the Euphrates, though not so great a number on the western side as we may have been led to expect. Another mistake which, in our opinion, Major Rennell has been led to make, is the determining, at the very commence- ment of his inquiry, the site of the temple of Belus. “'hether the position he has assigned it be the correct one, is another question ; all that we suggest at present is, that such alloca- tion is, in this case, premature ; it at once puts a limit to free inquiry, as it determines what must be the relative position of every other edifice. Mr. Rich, on the other hand, com- mencing the subject entirely afresh, and taking a more comprehensive view of the matter, arrives at a different con- clusion; he gives it as his opinion that the Birs Nemroud has the better claims to be considered as the ancient tower. In favour of this opinion it may be observed, that it would at once obviate the difficulty we have in reconciling the state- ment of the ancients, respecting the location of the palace and temple of Belus on opposite sides of the river, with the dis- coveries of the moderns. But, it may be objected, Herodotus states that these edifices were in the centre of either division of the city : now the word used by that author is s’v ,téaw, which, we think, may be translated literally enough by in the midst, or even by the preposition within, and certainly more correctly so than by in the centre. Should, however, any objection be made to this translation, we would argue that in so large a space, our author may be allowed a little latitude in cursorily describing the position of principal build- ings in the plan of so vast a city. Moreover, we have further evidence in favour of this assumption, in the remarkable similarity of‘ the remains to the descriptions we have of the old edifice. Before proceeding further, we may as well get rid of one objection which may be urged in Opposition to the statements we are about to make: the plan of the remains is an oblong, and not a square, as stated by Herodotus ; now, we must remind our readers that, although the more common reading states the building to have been of a square plan, yet that this reading has been with good reason objected to. and has been altered by Wesseling in his edition; we do not think, therefore, that this objection ought to have much weight. To return :—The ruins present the appearance of a building of 762 yards periphery, surrounded by an outer wall; the present height of the building is 235 feet, in which space Mr. Rich discovered traces of three different stages, similar to those described by Herodotus; and Mr. Buckingham, a later traveller, in the same space, thinks four stages clearly discernible. Now, if we add the same height for other four stages to complete the number of eight as given by Herodo- tus, we shall find the total height of the building equal to 470 feet, or about a stadium, the height given by the ancients. This we think amounts to almost conclusive evidence for the supposition of Mr. Rich; further, however, the appearance of the kasr answers very well to the description of the ancient palace, and one part is especially to be noted for its resemblance to the hanging-gardens : the hollow shaft men- tioned amongst the discoveries of Mr. Rich, is very similar to the hollow piers supporting the terraces as described by Strabo. The author, from whose narrative we have so copiously extracted, supposes the whole of that mass of ruins on the eastern bank of the river, enclosed by circular walls, to have formed a part of the ancient palace, for, says be, it is manifest that the palace was not merely a single edifice, but consisted of a number of buildings, surrounded probably by an outer wall ; and this supposition appears very probable, especially as it related that the hanging-gardens were within its precincts. Major Rennell, however, while he assigns the kasr especially to the palace, and the Mujelibe to the temple of Belus, considers the circular rampart which encloses them as an erection of modern date. In opposition to this notion, Mr. Rich suggests that we have no accounts of any later erection on this spot, whereas Diodorus expressly states that the palace was surrounded by circular walls. Besides this, he brings forward what he considers a con- vincing proof of its antiquity, which is this—that wherever bricks engraved with the arrow—headed characters are here found, they are all placed with the engraved sides downwards This circumstance he considers sufficient evidence of the walls having been erected at a very early period ; for during his extensive researches, he observed that in the old build- ings the bricks were invariably laid in this particular posi- tion; in later erections, where the old materials had been made use of, this peculiarity had not been attended to. The question respecting the identification of the remains with the ancient buildings, has elicited congiderable informa- tion on the subject, and has been very ably treated by many learned men. A variety of opinions has arisen in conse- quence of the difficulties with which the subject is attended, none of which, however, have been broached without good reason : we are inclined to give the preference to Mr. Rich's suggestions, but at the same time we must confess that the other views taken of this case are worthy of most careful consideration. \Ve have extended the present article to so great a length, on account of the interest which must necessarily appertain to a style of building of such early date. Much as the origi- nality of the various modes of architecture has been discussed, and although many weighty reasons have been alleged in proof of the superior antiquity of some few of the other styles, of, for instance, the C‘yclopean, the Egyptian, and the Indian ; yet it seems to us that the Babylonian has a greater claim to originality than any other. As far as we can discover from historical records, it is very evident that the first great empire established in the world was that of Babylon. The BAB 23 BAB account given in the sacred history, and which is confirmed, as far as may be, by all other historical records, tells us that the first great kingdom was founded, and the first city built, by Nimrod, a name which has been preserved by tradition even up to the present time, and is still held in especial reverence; thus proving, at least, the existence of such a person, and his pre—eminent usefulness to the city and people of Babylon. It may be said, we are well aware, that this is mere tradition; yet we cannot allow that tradition, even when it appears in its most absurd colouring, is entirely to be despised : we cannot account for the promulgation of any legend that has absolutely no origin, such an idea is indeed absurd; every traditional story must have some real, tangi- ble source, and reality cannot but be truth; such stories may have been embellished, or, if you please, disfigured by fiction, but they must have their foundation at least in fact. Many persons, we know, are very unwilling to assign much credit to the Mosaical narrative ; but we think we are ‘ fully entitled to claim for it equal authority with that of most of the other historians who make any reference to the occur- rences of so early a date, especially as its author is allowed to be the earliest historian, and for this reason must have lived , closer to, and have been, we should suppose, more competent ‘ to relate the occurrences of, the times to which he refers. Claiming so much authority, then, for our author, we would beg our readers to allow a fair modicum of credit for his sketch of the early history of Babylon; we say sketch, for it has no higher pretensions, nor could we naturally expect any detailed history from an historian living eight hundred years posterior to the period whose history he is relating. We may here apply a very sensible remark made by Rollin ; in speaking of the history of this empire : “ where,” he says, “ certainty is not to be had, I suppose a reasonable person will be satisfied with probability.” It is true that Moses does not expressly state that Babylon was the first city, but we have every reason short of certainty to believe that he intended to imply as much. In giving the genealogy of Noah’s descendants, he stops at the name of Nimrod, to tell us that “ he began to be a mighty one in the earth ;” which expression, if it does not indeed say in so many words that i he was the first one who obtained superiority, may, at least, ‘ dwelt there. when taken in connection with all other attendant circum- stances, imply quite as much ; and it is further told us, that “the beginning of his kingdom was Babel.” Further on in the narrative, we are told where and what this Babel was, as well as when its erection took place, namely, in the time of Peleg, the fifth from Noah, probably at some particular period of his life; perhaps shortly after his birth—for, “in his days was the earth divided :” the causes of this division, and the particulars of the building of Babel, are related as follows :—“ The whole earth was of one language, and of one speech; and it came to pass, as they journeyed from the cast, that they found a plain in the land of Shinar; and they And they said, Go to, let us build us a city, and a tower whose top may reach unto heaven; and let us make us a name, lest we be scattered abroad upon the face of the whole earth. And the Lord came down to see the city and the tower which the children of men builded. And the Lord said, Behold, the people is one, and they have all one language; and this they begin to do: and now nothing will be restrained from them, which they have imagined to do Go to, let us go down, and there confound their language, that they may not understand one another’s speech. So the Lord scattered them abroad from thence upon the face of all the earth: and they left off to build the city; therefore is the name of it called Babel.” To any one reading this account, there can, we think, be little doubt, that it was the writer’s intention to signify, that Babel was the first permanent erection of any significance, that it was the ' joint erection of all men then in existence, and also that it was the origin of the city afterwards known by the name of Babylon. It now rests with us to shew the identity of the existing remains, and of the city erected by Nimrod, and in this case again we must rest content with probability. Now it seems universally allowed that some part of the mounds are identi- cal with the ruins described by Herodotus; how large a portion this may be we do not pretend to assert, but we have already stated that Mr. Rich includes a large proportion of the existing remains. We have only in continuation to give our reasons for considering the buildings described by Hero- dotus as identical with those referred to by Moses. In the first place, then, the former writer seems to speak of Babylon as a very ancient city in his time, and mentions it as a remark- able occurrence that the tower of Belus was then standing; he speaks of a long line of kings, and relates that Semiramis made some improvements in the city, thus implying that the city had been erected some considerable period before her reign. This queen is supposed to have lived from twelve hundred to two thousand years before our era, thus bringing the erection of the city close upon that of Babel, as recorded in the Scriptures. Another proof of identity is seen in the nature of the materials used in the buildings, and in the manner of their erection, and in these matters the two accounts perfectly coincide. Moses, in that part of his nar- rative already quoted, says,—“ And they said one to another, Go to, let us make brick, and burn them thoroughly; and they had brick for stone, and slime (bitumen) had they for mortar.” The account of Herodotus, although of a more detailed description, agrees in every particular with that just given ;—we need not refer to it here, as it has already been given in full. Again, is there not every reason to believe that the tower of Babel and that of Belus are one and the same edifice ? Herodotus evidently looks upon the tower as of very remote origin, as the oldest building in Babylon; indeed, it seems to be a building remarkable on many accounts, standing out distinct from all surrounding edifices, as well by its great height, as by its unusual construction; it is apparently looked upon by all those who have seen it with a kind of awe, as though its erection, and every other thing connected with it, was entirely beyond their comprehen- sion. Taking all these circumstances into consideration, we venture to assert there will be considered sufficient evidence to satisfy any reasonable person of at least the probable identity between the buildings referred to in the Mosaical narrative, and the ruins now in existence, as described by recent travellers. ~ ‘4 The remains of this great city do not afford us an oppor- tunity of stating, with any preciseness, the style, so to speak, adopted in its architecture. The buildings generally are rude, and show but little evidence of constructive science; they are of gigantic proportions, and very massive, on which quality they rely chiefly for their strength ; their construc- tion is indicative of greater antiquity than that of the Indian or Egyptian styles, for, whereas, in the latter, we find detached columns, in the Babylonian we see no traces of them, indeed, the construction is altogether much heavier and of more barbarous appearance. The edifices were almost universally composed of bricks, of which there were various qualities, some dried in the sun, others baked in a kiln; there was also a finer sort, the clay of which, previous to being burned, was mixed up with chopped straw or reeds, and these BAB BAD last seem to have been used for facing walls built of the commoner sort of brick; there is one peculiarity about them, however, which may not be overlooked, and that is the inden- tation on their surface of certain marks arranged in parallel lines, termed arrow or nail-headed characters. These marks are supposed to represent letters, or words; but, although, much learned labour has been given to the task, their signi- fication has not been discovered, nor, indeed, the method of deciphering them determined upon : similar inscriptions have been found at Persepolis and Susa, also on some rocks near Argish, in Armenia, and sometimes, but very rarely, in Egypt. To return :——The bricks were cemented together with hot bitumen, but were sometimes laid in clay, and at others in lime-mortar, and bonded together by straw, or reeds. The walls, as we have previously mentioned, were of great thick- ness, strengthened at intervals by pilasters, or buttresses, which were sometimes adorned with niches. Columns were not made use of, the nearest approach to the idea being found in the large hollow piers which supported the hanging- gardens. The principle of the arch does not seem to have been understood, although some authors have stated a con- trary opinion; no examples of its application have been found, and the fact of inconveniently large masses of sand- stone having been made use of,in places where the arch would have been most applicablefi’as in the case of the passage described by Mr. Rich, is, we think, a conclusive argument that the principle was not known. (For further information on this subject we refer to the article on ARCH.) The work- ing of metals seems to have been in extensive practice, as Herodotus tells us that all the gates were made of brass. Although externally their buildings were of this rude description, the Babylonians evinced some taste in the interior decorations. Among other modes of ornamentation, they made use of coloured bricks. These bricks were painted while in a moist state, and the colours afterwards burnt in; the subjects represented were usually animals, standing out in relief from the general surface, and richly painted in their natural colours. Statues likewise formed a very usual'mode of decoration. We have now only to notice that peculiar building, the Birs Nemroud, of which we have elsewhere given a descrip- tion; it will, therefore, be unnecessary to enter into detail here; we would only beg of our readers to notice its peculiar form, that of a pyramid, and remark, that if this tower be allowed to be the first erection of importance, it will very readily account for the circumstance of that form being so universal in other styles of very early date. This kind of erection is found, not only in Egyptian and Indian architec- ture, but also in other styles, whose connection with the Babylonian is not so easily accounted for; and IIumbolt, in speaking of a pyramidal mass of ancient Mexico, says,—“ It is impossible to read the descriptions which Ilerodotus and Diodorus Siculus have left us of the temple of Jupiter Bolus, without being struck with the resemblance of that Babylonian monument to the teocallis of Anahuac.” It is true that the pyramidal is that form which would most naturally suggest itself to men unacquaintcd with the con- trivanccs of art, but we venture to think, that the suggestion we have above thrown out, is not entirely unworthy of the attention and consideration of the curious. llaving at length arrived at the conclusion of this article, we would apologize for having extended it to a length which some may be inclined to think unreasonable; when, however, the interest attaching to such ancient remains, and the comparatively slight attention the subject has hitherto obtained, are considered, we feel confident of receiving the pardon of our readers. BACK,-the side opposite to the face, or breast. In a recess, upon a quadrangular plan, the face is that surface from which the recess is made: therefore the back is the surface which has the two abjacent planes, called the sides, elbows, or gables. When a piece of timber is fixed in a level or inclined position, the upper side is called the back, and the lower, the breast: thus the upper side of the hand- rail of a stair is called the back. The same is to be under— stood with regard to the curved ribs of ceilings, and the rafters of a roof: their upper edges are always called the backs. BACK OF A CHIMNEY. See CHIMNEY. BACK OF A HAND-RAIL, is the upper side of it. Its for- mation is shown under the articles STAIRS and HAND~ RAILING. BACK or A HIP—RAFTER. See HIP-ROOF. BACK LINING OF A SASH-FRAME. See SASII—FRAME. BACK or A RAFTER, is the upper side of it, in the sloping plane of the one side of a roof. The manner of forming the back is shown under RAFTER. See also ROOF, in CAR- PENTRY. BACK-SIIUTTERS, or BACK-FLAPs, are additional breadths hinged to the front shutters, necessary in closing the aperture completely, when the window is required to be shut. When the aperture is open, or when light is required, the back- shutters are concealed in the boxing by the front-shutters. Back-shutters are generally made thinner than front-shutters, and framed with bead and butt. BACK or A STONE, the side opposite to the face, which is generally rough. BACK OF A WINDOW, in joinery, is the board, or wain- scoting, between the sash-frame and the floor, joining the two elbows, and forming a part of the finish of the room in which it is placed. It is in general parallel to the face of the wall, or to the glass, or sash-frame, and, when framed, it has commonly a single panel with mouldings on the framing, corresponding to the doors, shutters, elbows, softits, &c. in the same apartment in which it is placed. The framing of the back and the skirting are generally in the same plane, or flush, and the upper edge of the skirting is wrought with a bead, which conceals the joint between the lower edge of the rail, and the upper edge of the skirting below it. The top edge of the upper rail is generally capped with a slip of tim- ber, level on the top, beaded on the front edge, and tongued into the sash-frame. The capping bead is returned upon the two elbows, and has the most prominent part of the con- vexity flush with the framing of the elbows, as well as that of the back. Framed backs and elbows for good homes are generally finished at one and one-eighth inch thick. BACKING or A RAFTER, or RIB, the formation of an upper or outer surface, so as to range with the edges of the ribs or rafters, on either side of it. See also HANGING, or EDGING. The formation of the inner edges of the ribs for lath—and- plaster ceiling, is sometimes improperly called backing. BACKING or A \VALI., is the building which forms the inner face of the wall, or, the act of building the inner face. This term is Opposed to facing, which is the outside of the wall. In stone walls the backing is generally rubble, though the facing be ashlar. BADIGEON, a mixture of plaster and free-stone, well sifted, and ground together: it is used by statuaries to fill up the small holes, and repair the defects in stones of which their work is made. The term is also used by joincrs, for a. composition of saw-dust and strong glue, with which the chasms of their work are filled. Joiners likewise use for this purpose, a mixture of whiting and glue. “rhen this is ”PU” , used. the filling-in should remain till quite hard, otherwise, A v 5 (1p MR” 5 . ' , 1,51%}: l. "u .., '~ I :3 ' 1‘ ' 1 . :- ' —. . ‘ , , . , I l , : I f: I A ’ ' u...£’!1£’._. 5 ' u: 1 $ ‘ ~v-'.H'x'~n'/ a": ’1!"'Il' 4') 4A,}! ”I“’II'1.' (}//'////////r// (U' (ii/H/Hw/I‘r ”(I/77' 0r [in/if I .; T”’ I 1 u/ [0 m. 34 ”- \ > a < > a 1 ‘3 r I"! m In III l7 'l‘nl] ["7171 ’." I" 5‘ Z. 5" < ; V s ‘ b > K :- -. S ; BAL 25 BAL when it is plained or smoothed ofl“, it will shrink below the surface. BAGNIO, a bath. The word is applied by us to houses which have conveniences for bathing, sweating, and other- wise cleansing the body. Baguio, in Turkey, is a general name for the prisons where their slaves are kept. So called from the baths they contain. BAGUETT E, a' small astragal moulding, sometimes carved and enriched with pearls, ribbands, laurels, 8m. When the baguette is enriched, it is called Chaplet, and when unorna- mented, bead. BALBEC, or BAALBEC, a famous city of Syria, celebrated by the Greeks'and Latins under the name of Heliopolis, the city of the sun, or Baal. It was surrounded with walls, which were flanked with towers at regular intervals. The principal remains consist of the great temple, a smaller one, called by Mr. Wood the most entire temple, a circular temple of a singular construction, and a Doric column stand- ing alone. The longitudinal direction of the great and most entire temples is east and west. Before the entry to the great temple are two courts and a portico, which face east- wards. After passing the portico, we come to an hexagonal court, surrounded with columns and apartments; we thence enter a quadrangular court, the area of which is also sur- rounded with columns: on the north or south side of this court are seven apartments, or exhedrae; five are rectangular . on the plan, One stands in the middle, having a semicircular exhedra on each side of it. These were probably lodging rooms for the priests. At the other extremity of this court, upon the south, are columns of a colossal magnitude, being the remains of the peristyle of the temple. The shafts are twenty-one feet eight inches in circumference ; and the entire height of the columns fifty-eight feet. The columns are all joined with iron cramps, and Without cement, which is nowhere used in these edifices, but the surfaces are so close that there is hardly room for the blade of a knife to be inserted between them. The stones which compose the sloping wall are of enormous size. On the west the second course is of stones from twenty-eight to thirty- five feet long, and nine feet in height: and at the north angle, over this course, are three stones, which occupy one hundred and seventy-five feet seven inches. The shafts of the columns of the great temple consist each of three pieces which are joined with iron pins about one foot long, and one foot diameter. Most of the bases had two sockets, one cir- cular, and the other square. Greek and Roman authors are entirely silent as to these astonishing ruins.—( Ruins of Bal- bec, by Wood and Dawkins.) BALCONY, (from the French balcon,) an open gallery projecting from the front of a building, surrounded with a rail or balustrade, of various devices, and supported by can- talivers, brackets, or columns. It is made of wood, stone, sometimes of cast-iron, and sometimes also of bar-iron fashioned into crail-work, of various fanciful figures. Balconies are generally made on a level with the sills of the windows of the first floor; sometimes every window in the range has a separate balcony, each of which is convex to the street. When there is but one, it is generally placed in the middle of the length of the front, or extends the whole length of the front. Sometimes a portico or porch is sur- mounted with a balcony; in this case the balustrade may be of stone, as. well as of iron, or wood. When balconies are used, the windows are generally brought down to the floor, without adding any additional breadth to the aperture. See BALUSTRADE. BALDACHIN, (from the Italian baldacclzino,) a piece of architecture in the form of a canopy, supported with columns, H and serving as a covering to an altar. The baldachin sup- planted the ciboreum, which was of the same nature; but whereas the former was a canopy, the latter was in form similar to the monoptral temple described by Vitruvius. The baldachin in St. Peter's at Rome is of bronze, and was made by Bernini. The dais, or covering, is supported on four large twisted columns of the Composite order, on pedestals of black marble. Above the columns are four figures of angels; at the top of the covering there is a cross, and below the entablature the fringe of the banner-like cloth of the portable baldachin has been imitated. The height is 125 feet 3 inches from the floor of the church to the summit of the cross, and the whole work is in the highest degree elegant and graceful. BALECTION MOULDINGS. See BELECTION MOULD- INGS. BALKS, large pieces of timber brought from abroad in floats: their scantling being from five to twelve inches square. Balks, in some parts of England, are used for the summer-beams of a building, also for the poles or rafters laid over out~houses, or barns. BALLOON, (from the French 66111072,) a crowning of a globular form, used by way of an aeroter to a pediment, pillar, or the like. That on the top of St. Peter’s at Rome is of brass, about eight feet diameter, and placed at the height of sixty-seven fathoms. BALL-FLOVVER, an ornament resembling a ball placed in a circular flower, the three petals forming a cup round it; much used as an enrichment to mouldings, and otherwise in the decorated style of Gothic architecture. BALLIUM, the space immediately within the outer walls of an ancient castle. - BALTHEI, bands, or girdles. This word is used by Vitruvius for some part of the Ionic volute. The balthei are supposed to be the mouldings which encompass the bolsters of the volutes. BALUSTER, sometimes corruptly called BANISTER, a small kind of column or pillar belonging to a BALUSTRADE, (which see.) The various forms of Balusters given in the accompanying plate, are selected chiefly from Sir \Villiam Chambers, who has appropriated some of them to the orders of architecture, as their names express. The two last, deno- minated Corinthian and Doric, were designed by Mr. Nichol- son, and their curve is found by an algebraic equation as in OVAL. Their general form is graceful, and their elegance may be preserved in any proportion; thus, suppose it were wished to have a very slender baluster made from the very stout one, here called DORIC ; divide the length of the balus- ter required into ten equal parts, and the given baluster into the same number; draw lines on both, as ordinates; place the ordinates of the given baluster upon the respective lines of the one required, and through the extremities draw a curve, which will complete the baluster sought for. BALUSTERS OF THE IONIC CAPITAL, the two lateral parts contained between each front and rear volute, called by Vitruvius, pulm'nata. BALUSTRADE, a range of small columns called balus- ters supporting a cornice, used as a parapet, or as a screen, to conceal the whole or a part of the roof. It is also sometimes used as a decoration for terminating the building. Balus- trades are employed in parapets, on the margins of stairs, before windows, to enclose terraces, or balconies, by way of security, 01 sometimes to separate one place from another. In the theatres and amphitheatres cf the Romans, the pedestals of the upper orders were always continued through the arcades, to serve as a parapet for the spectators to lean over; the lowermost seats next to the arena in the BAN 26 BAP amphitheatres, and those next to the orchestra in the theatres, were guarded by a parapet, or podium. The walls of ancient buildings generally terminated with the cornice itself, but often with a blocking course, or attic. In the monument of Lysicrates at Athens, the top is finished with finials com- posed of honeysuckles, solid behind, and open between each pair of finials; each plant or finial is bordered with a curved head, and the bottom of each interval with an inverted curve. Perhaps terminations of this nature might have been em- ployed in many other Grecian buildings, as some coins seem to indicate; but this is the only example of the kind. The temples in Greece are mostly finished with the cornice itself; which was also the case with many of the Roman temples ; and as there were no remains of balustrades in ancient buildings, their antiquity may be doubted: they are, however, repre- sentedin the works of the earliest Italian writers, who, per- haps, may have seen them in the ruins of Roman edifices. When a balustrade finishes a building, and crowns an order, its height should be proportioned to the architecture it accompanies, making it never more than four-fifths, nor less than two - thirds, of the height of the order, not reckoning the plinth on which it is raised; as the balustrade itself should be completely seen at a proper point of View. Balustrades designed for use should always be of the height of the parapet walls, as they answer the same purpose, being nothing else than an ornamented parapet; this height should not exceed three feet and a half, nor be less than three feet. In the balusters, the plinth of the base, the most prominent part of the swell, and the abacus of their capital, are gene- rally in the same straight line: their distance should not exceed half the breadth of the abacus, or plinths, nor be less than one-third of this measure. On stairs, or inclined planes, the same proportions are to be observed as on horizontal ones. It was formerly customary to make the mouldings of the balusters follow the inclination of the plane; but this is dif— ficult to execute, and, when done, not very pleasant to the eye; though in ornamental iron work, where it is confined to a general surface passing perpendicularly by the ends of the steps, it has a very handsome appearance. The breadth of pedestals, when placed over an order, is regulated by the top of the shaft, the die being always equal thereto. When balustrades are placed upon the entablature of an order, over the intercolumns, or interpilasters, and the base and cornice of the balustrade continued, so as to break out and form pedestals over the columns, or pilasters, the breadth of the die of the pedestals should be equal to the breadth of the top of the shafts; and when there is' no order, the breadth of the die never more than its height, and very seldom nar- rower: the dies of the pilasters may be flanked with half dies, particularly when the range of balusters is long. BAND, a narrow flat surface, having its face in a vertical plane, as the band of the Doric architrave, and the dentil band, which is the square out of which the dentils are cut. The word facia, or plat band, is generally applied to broad members, as the facia of an architrave; and band, to narrow ones wider than fillets. Band is also the ciucture, around the shaft of a rusticated column. BANDED COLUMN, is that which is encircled with bands, or annular rustics. BANDELET, or BAND, any flat moulding, or fillet. See BAND. BANKER, the stone-bench on which masons cut and square their work. BANQUETING-ROOM, an apartment for entertainment, used among the Romans in the latter ages of the empire. In ancient times they suppcd in the atrium of their houses, but in after-times, magnificent saloons, or banqueting-rooms, were built for the more commodious entertainment of their guests- Lucullus, we are informed by l’lutarch, had several very grand banqueting-rooms, and the Emperor Claudius had a very elegant one, named Mercury; but everything of this kind was outdone by the lustre of the still more celebrated banqueting house of Nero, called domus aurea, the house of gold, which, by the circular motion of its ceilings and parti tions, imitated the revolution of the heavenly bodies, and represented the (liffercnt seasons of the year, which changed at every service, and showered down flowers, essences, and erfumes on the guests. BAPTISTERY, (from ,ernlo, to was/1,) a building, or apartment, designed for the administration of baptism. In ancient times, baptism was performed by immersion, and the place for the purpose was a pond or stream; but about the middle of the third century, distinct or insulated houses were erected for the purpose. In 496, they were attached to the exterior side of the church, and in the sixth century, they were brought within the church; but though there might have been two or more churches in one city ; yet, in general, there was only one baptistery; and when it be came fashionable to dedicate the churches, that to which the baptistery belonged was dedicated to St. John the Baptist. The baptismal churches in Italy were usually built near rivers and waters. In later times, the bishop of baptismal churches granted licenses to other churches to erect bap- tisteries, taking care at the same time to maintain his own jurisdiction over the people. . The baptistery was an octagon building, covered with a cupola roof, adjacent to the church, but not forming a part of it. In the interior was a hall, sufficient to contain a great number of people, on the sides of which was a number of apartments; sometimes, instead of these apartments, rooms were added on the outside, in the manner of cloisters: in the middle of the hall was an octagon bath, which, strictly speak- ing, was the baptistery, and from which the whole building derived its appellation. The most celebrated baptisteries are those of Rome, Flo- rence, and Pisa; the most ancient is that of S. Giovanni in Fonte at Rome, said to have been erected by Constantine the Great. The plan of this building is octangular; the roof is supported by eight large polygonal pillars of porphyry under the cupola, in the centre of the floor is the bath, lined with marble, with three steps for descending into it: its depth is about thirty-seven inches and a half. The baptistery an- nexed to the splendid church of St. Sophia, at Constantinople. resembled the convocation-room of a cathedral; and was called illuminatory. In the middle was the bath, and around it were outer rooms for all concerned in the immersion. The Baptistery of Florence stands opposite to the principal entrance of the cathedral. It is octangular in form, with a diameter of about one hundred feet. In the interior is a gallery, supported by sixteen large granite columns; the vaulting is decorated with mosaics, and on the pavement is a. large circle of copper, with numerical figures, and the signs of the zodiac on it. The external facades are built of black and white marble, and the three great bronze doors are Cele- brated for the beauty of their has-reliefs, and for the marble and bronze figures above them. The Baptistery of Pisa is circular; its diameter is 116 feet ; the walls are eight feet high, and the building is raised on three steps, and surmounted by a dome in the shape of a pear. This dome, which is covered with lead, is intersected by long lines of very prominent fretwork, terminating in another dome, above which is a statue of St. John. The proportions of the interior are admirable; eight granite 1 l V'Jdfid 151.615 N“? 15. Broac, h spire . \ ’ H Bob; N‘? M. Bracket ‘ N9 16. Buttress . L“ O MPI‘I‘IY - L 1M 1 T 1-11) ‘ Belvedel‘e ‘ N‘.‘ [2, Billet Inulfldillg. ‘ Ct. Beak-1 head moulding 10,5011 col , G. .M... I I ) 11 H K 1 ~Q o u ‘ ) J K N h .8 7. P .H. . S ' DETAILgv PLATE 3 a a .u UL m .wKS H .Lr.lu .T , .Mua m A [‘00. P ndjx p . BLUU , w merler N . aaf o ; Mddi m ._ Hadm A _ 8689. r BBBL I . l r .H FOG—7,8 m o,o,o.m. . NNNL V d. e ”H .1de wmm .V O C Ybbi mffim c 1 awam BBBB 1.3.3.4.. oloxavo. NNNN Gilbert ' .7 A BAR 27 BAR columns, placed between four piers, decorated with pilasters, are arranged round the basement story, these support a second order of piers, similarly arranged, on whlch rests the dome. In the middle of the baptistery, is a large octagonal basin of marble raised on three steps. See FpN'r. . BAR, a piece of wood, or iron, for fastening any kind of closure, as a door, or shutter. It IS used as an additional fastening to a door, attached to the s1de, and_movable to and fro upon the surface, so as to be inserted or drawn out of the jamb, head, or sill, at pleasure; and is most commonly placed on the vertical edge of the door. Doors and shutters have sometimes bars so long as to be equal to the whole breadth of the aperture, or something more ; and frequently made to turn upon a centre on the side of the door or shutter. BARS FOR THE SHUTTERS or WINDOWS, are frequently made with one or more joints, according to the number of shutters in the breadth of the window, and are fastened by means of bolts and fore-locks. BARS or A BOARDED DOOR, are pieces placed on the back, to which the boards are fastened: bars Of this nature are more commonly called ledges. BARS or A SASH, are those slight pieces of wood or metal which divide the sash-light into two or more compartments, so as to reduce the large opening into smaller ones of con- venient dimensions, suitable to the size of the panes of glass. Those bars which stand in the intersection of two vertical planes, are called angle-bars. See ANGLE-BARS. BAR-IRON. See IRON. BAR-POSTS, are those which are fastened into the ground, forming the sides of a field gate, and are mortised so as to admit of horizontal pieces, called bars, which may be inserted easily or taken out at pleasure. BARBACAN, or BARBICAN, in ancient fortifications, was an advanced work, which frequently covered the draw-bridge . at the entrance of a castle. The term is likewise applied to the aperture in walls, called embrasures. See EMBRA- SURES. BARBACAN, in architecture, is a long narrow canal, or opening, left in the walls for water to come in and go out by, when edifices are placed so as to be liable to be overflown; or to drain Off the water from a terrace or the like. BARGE-BOARDS, two boards attached to the gable ends of a roof, fixed near the extremity of the barge course, and following the inclination of the roof, used for the purpose of protecting the under or stuccoed side of the barge course from the weather. They are found most usually in old English houses, and being carved in most rich and elaborate patterns, add great beauty and picturesque effect to the buildings. They have been of late applied in many instances, where their utility seems to have been entirely misunder- stood, and where, instead of protecting, they only serve as a dead weight to the building. The word is probably derived from an old Saxon term signifying to shade or cover. RANGE—COUPLES, two beams mortised and tenoned to- gether, for strengthening the building. The term is not much used. liARGE-COURSE, that part of the tiling which projects over the gable of a building, and is made up below with mortar. BARN, a covered building, for laying up and preserving all sorts of grain, hay, straw, 8m. The situation of a barn should be dry and rather elevated, and on the north or north- east side of a farm-yard; but neither contiguous to the house, nor to any offices connected with it. Barns may be con- structed of either stone, brick, or timber, which last may be wooden framing, covered with weather boarding ; but which- soever of these materials is used, holes should be left in the walls at intervals, or the doors and windows should have proper air-flights, so as to admit the ingress and egress of air freely. The gable-ends are best formed of brick or stone, on account of their solidity: the covering may either be thatch or tiles. In the walls of the front and rear of the building should be two large folding doors, for the con- venience of carrying in and out a cart or waggon load of corn in sheaves, or any other bulky produce: these doors should be of the same breadth with the threshing-floor, to give more light to the threshers, and admit more air for win- nowing the grain. Over the threshing—floor, and a little above the reach of the flail-poles, beams are often laid across, in order to form a kind of upper-floor, upon Which the thresher may throw the straw or haulm ; and on the out-side, over the great doors, it is convenient to have a large pent- house made, projecting sufficiently, so as to cover a load of corn or hay, in case a sudden storm should come on before it can be housed, and also to shelter the poultry in the farm—yard from bad weather, or too great heat. The hay-barns should usually be constructed of wood, and not too close: they are sometimes formed in such a manner, as to be capable of being moved to different places by wheels or rollers. In grazing-farms, which do not afford a supply of straw for thatching, the stacks with movable roofs, erected on strong upright posts of wood, or what is sometimes termed Dutch barns, may be useful, as they may be raised or lowered at pleasure by screws and levers, so as to accommodate them- selves to the quantity of hay, either in proportion to the crop or its consumption, while, at the same time, they are cheaper, more airy, and less troublesome than close barns, in case of heating. The under-pinning of barns is best of stone or brick, which may be built to the height of about two feet above ground ; the sides should be boarded, and the roof covered with straw or reeds ; but those of the stables on its sides, with slate or glazed tile; because, as they must be more flat, the water which runs from the roof of the barn would injure most other coverings. At each end of the barn, and over the back- door, small doors, four feet high, should be fixed at the height of twelve feet from the ground: the two former for putting in corn at the ends, and the latter for filling the middle of the barn after the bays are full. All the bays should have a floor of clay or marl, and the threshing-floor should be laid with hard bricks, which will be suitable for all sorts of grain, except wheat or rye ; for threshing these, it will be advisable to have planks of oak or red deal well fitted together, and numbered, to be laid down occasionally, and confined by a frame at their ends. Barns should be placed upon a declivity, as by this means they are rendered more durable, less subject to vermin, and the grain can be kept more sweet and dry than on level ground: this situation also affords a commodious range of stalls for cattle. The invention of the threshing machine has, in a great measure, altered the construction of barns, as, where they are made use of, they should be contrived chiefly with a view to the distribution of straw; the machines being built in the centre, with the grain-stacks adjoining them, in such a man- ner, that they may be supplied without the assistance of carts or horses. The barns, in these cases, need not to be so large, but they should have granaries provided in them, which may perhaps be most conveniently placed over the floors. BARREL DRAIN, one constructed in the form of a hol- low cylinder. See DRAIN. BARROW, or TUMULUS, a hillock or mound of earth, BAS 28 BAS anciently raised over the body of a distinguished person. Barrows are considered as the most ancient sepulchral monu- ments in the world. BAS-RELIEF. See BASSO RELIEvo. BASALT, a hard dark-coloured rock, of igneous origin, formed of columnar or stratified parts, very useful in building, paving, 8m. Basalt, when calcined and pulverized, istan ex- cellent substitute for puzzolana, in the composition of mortar: by undergoing these operations, it acquires the property of hardening under water. BASE, in architecture, is the lowermost part of a body, consisting of one, or an assemblage of parts, taken in its altitude, being separated from its upper part, which is a naked or plain surface. BASE OF A ROOM, is the lower projecting part, consisting of two portions, the lower of which is a plain board adjoining the floor, called the plinth, and the upper consists of one or more mouldings, which, taken collectively, are called the base-mouldings. The plinth in the best work is tongued into a groove in the floor, by which means, the diminution of breadth in the shrinking never shows any aperture, or cavity, between its under edge and the floor ; and the upper edge of the plinth is rebated upon the base. Bedrooms, lobbies, passages, and staircases, are often finished without the dado and surbase, as also sometimes vestibules and halls. Rooms which have pavement-floors, have their bases, in general, consisting of stone plinths, and wooden base-mould- ings, which are not so liable to be broken as stone mouldings. BASEMENT, the lowest story of a building, on which an order is placed, consisting of a base, die, and cornice. The choragic monument of Lysicrates is a beautiful example of an antique basement. In modern buildings, the height of the basement will vary according to the character of the edifice: it is proper, however, to make the basement no higher than the order of the next story, for this would be making the base of more importance in the composition than the body to be supported. If the cellar story is the base- ment, and if the height does not exceed five or six feet at the most, it may be plain, or with rustics, or formed into a continued pedestal ; but if the basement is on the ground story, the usual manner of decorating it is with rustics, sup- ported on a base, and surmounted with a crowning string course: the base may be either a plain or moulded plinth; and the cornice may either have a platband or mouldings under it, or may form a cornice of small projection. The rustics are either of a rectangular or triangular section, supposing one of the sides of these sections to be a line extending across the front of the joints. The joints of the rustics may be from one-eighth to a tenth part of their height ; the depth of the triangular joints may be half their breadth; that is, making the two planes by which they are formed a right angle; and the depth of the rectangular from one-fourth to one-third of their breadth. The ancients always marked both directions of the joints of the rustics, whereas the modems employ not only the ancient manner, but sometimes make them with horizontal joints alone ; the latter, however, represent rather a boarded surface than that ofa stone wall, which must have two direc- tions ofjoints. The height of the string course should not exceed the height of a rustic with its joints; nor the plinth, or zocholo, be less than the height of the string course. When the basement is perforated with arcades, the imposts of the arches may be a plat-baud, which may be equal to the height of a rustic, exclusive of the joint. When the string course is a cornice, the base may be moulded, the projection of the cornice being two-thirds of its height, so as to be less prominent than that which finishes the building. The height of the cornice may be about one- eighteenth part of the height of the basement, and that of the base, about twice as much, divided into six parts, of which the lower five-sixths form the plinths, and the upper sixth the mouldings. BASIL, among carpenters and joiners. the iron side of the angle of a tool, ground so as to bring the end of the tool to a cutting edge. If the angle be very thin, the tool will cut more freely, but is in danger of breaking into notches, if not duly tempered : to remedy this, it is sometimes found necessary to grind it thicker. BASILICA (from Baatkevg, king, and away, house, signi- fying royal house) a building originally used as a court of justice. Among the Romans, it was a large hall adjoining the forum, Where the magistrates judged the people under cover, which distinguished it from the fora, where they held their sittings in the open air. Basilicas were in plan parallelogrammic, divided lengthwise into three or more aisles, the centre one of which was called the testudo, and those at the sides portieos. The testudo was covered by a roof supported on two rows of columns, situate on either side between it and the adjoining portieos. These portions were divided vertically by two galleries, one above the other, which ran round three sides of the building, and were covered by a lean-to roof, meeting the above-named columns below their capitals, so as to leave an open space between the roofs of the porticos and the testudo, for the admission of light. At that end of the testudo where the gallery was discontinued, stood a raised platform, on which was placed the tribunal for the magistrate. The above is as clearly as can be discovered, a correct description of the ancient basilica, and agrees in all its principal features with a build- ing which has been discovered in the ruins of Pompeii. The proportions of these edifices are given by Vitruvius as follows :—“ The breadth,” he says, "is not to be less than a third, nor more than the half of the length, unless the nature of the place opposes the proportion, and obliges the symmetry to be different; but if the basilica has too much length, chalcidicw (supposed to be apartments on the sides of the tribunal, separated from the body by a partition) are taken off the ends, as in the basilica of Julia Aquiliana. The columns of the basilica are made as high as the porticus is broad; which again is equal to the third part of the space in the middle. The upper columns are less than the lower, as above written. The pluteum (a kind of podium or continued pedestal) which is between the upper columns, should also be made a fourth part less than the same columns, that those who walk on the floor above, may not be seen by the negotiators below. The epistylium, zoplmrus, and comma Below, are proportioned to the columns, as in my third 00k. “ Nor will basilieas such as that at the colony of Julia of . Fanum, which I designed and executed, have less dignity and beauty, the proportions and symmetry of which are as follows: The middle testudo, between the columns, is one hundred and twenty feet long, and sixty feet bread. The porticus around the testudo, between the walls and columns, is twenty feet bread. The height of the continued columns, including their capitals, is fifty feet, and the thickness five, having behind them parastataa (attached pilasters) twenty feet high, two feet and a half broad, and one foot and a half thick, which sustain the beams that bear the floors of the porticus. Above these are other parastatae, eighteen feet high, two feet broad, and a foot thick, which also receive beams sustaining the canthers of the porticus, which are laid F... BAS BAS» below the roof of the testudo: the remaining space that is left between the beams which lie over the parastatae, and those over the columns, is left open in the inter-columns, in order to give light. The columns in the breadth of the testudo, including those of the angles to the right and left, are four ; and in the length, on that side which is next the forum, including the same angle columns, eight. On the other side, there are but six columns, including those of the angles, but the middle two on this side are omitted, that they may not obstruct the view of the pronaos of the Temple of Augustus, which is situated in the middle of the side-wall of the basilica, looking toward the centre of the forum and Temple of Jupiter. The tribunal, in this building, is formed in the figure of a. hemicycle : the extent of this hemicycle, in front, is ferty-six feet, and the recess of the curvature inward, fifteen feet, so that those who attend the magistrate obstruct not the negotiants in the basilica. “ Upon the columns, the compacted beams, made from three timbers of two feet, are disposed; and these are returned from the third columns, which are in the interior part, to the antte that project from the pronaos, and on the right and left touch the hemicycle. “ Upon the beams, perpendicularly to the capitals, the pilae (a kind of blocking for supporting the plates) are placed, three feet high, and four feet broad, on every side. Over these, other beams well wrought from two timbers of two feet, are placed ; upon which the transtraae and capareols being fixed coincident with the zophorus, antae, and walls of the pronaos, sustain the culmen the whole length of the basilica, and another transversely from the middle over the pronaos of the temple: so that it causes a double disposition of the fastigium, and gives a handsome appear- ance to the roof on the outside, and to the lofty testudo within. The. omission of the ornaments of the epistylium, and of the upper columns and plutei,diminisl1es the labour of the work, and saves great part of the expense. The columns likewise being carried in one continued height up to the beams of the testudo, increase the magnificence and dignity of the work.” In the foregoing description, the proportion which Vitru- vius assigns to basilicas in general, does not agree with that which he executed at the colony of Julia of Fanum, which appears to be of a different construction from the common form; as, in the former, the ranges of columns which form the porticos, appear to have been disposed in two heights, with a gallery between; whereas, in the latter, the columns were disposed in one range in the height, with attached pilasters behind, in two rows, one above the other, and the galleries between the pilasters nearly against the middle of the columns, resting upon the lower range. Nor are the proportions the same: for in the former, the breadth is specified not to be less than a third part of the length, nor more than, half, “ unless the nature of the place opposes the proportion ;” the breadth of the latter is, however, more than the half, for the length of the nave is one hundred and twenty feet, and the breadth sixty feet; now, adding forty feet to each, the breadth of the two opposite porticos, will make the whole length of the building one hundred and Sle)’ feet, and the breadth of the same one hundred feet, which is more than the half of one hundred and sixty. In the general construction, no columns are men‘ioned at the ends, unless the chalcidicae (which are introduced in order to proportionate the building) are comparted by columns, but in the basilica constructed by Vitruvius, porticos are clearly understood in the breadth, as well as in the length; for he says, “ The columns in the breadth of the testudo, including those of the angles to the right and left, are four; and in the l length, on that side which is next the forum, including- the same columns, eight; on the other side there are but six columns, including those of the angles; because the middle two on this side are omitted, that they may not obstruct the view of the pronaos of the Temple of Augustus.” When Vitruvius speaks of the length and breadth of the basilica, it is reasonable to suppose, that these were the dimensions within the walls; but whether ancient edifices of this description had walls, or were supported upon columns, is E a desideratum which cannot be ascertained, but in the disco- . veries of ancient edifices, which are perhaps, as yet, embo- somed in the earth; and it is to be regretted, that, though some buildings of a similar description have been discovered, they are. by no means decided, neither in their proportion nor constructidn. Fragments of the plan of Rome, taken under Severus, which still exist, show a part of the basilica Emiliana, exhibiting two rows of columns on each side, '. without an exterior wall, which renders it doubtful whether ' they ever were. enclosed or not; perhaps the warmth of the climate of Italy did, not require it. - “ It is to Constantine, that the first Christian churches, known by the name of basilicas, are to be referred. This Iprince signalized his zeal by the erection of monuments, - which announced the triumph of' the religion which he had embraced. He gave his own, palace on the Coelian mount, to construct on its site a church, which is recognized for the most ancient Christian basilica. A modern building has so masked and disfigured the ancient, that only the situation ' and plan of this monument can be discovered. “ Soon after, he erected the basilica of St. Peter, of the Vatican. This magnificent edifice was constructed about : the year 324, upon the site. of the Circus of Nero, and the Temples of Apollo and Mars, which were destroyed for that purpose. It was divided internally into five aisles from east - to west, which terminated, at the end in another aisle from north to south, in the centre of which was a large niche or tribunal, giving the Whole the form of a cross. smaller dimensions; two columns were placed on each wing of the terminating aisle. The whole was covered, with a flat ‘ ceiling, composed of immense beams, which were cased with (r gilt metal and Corinthian brass, taken from the temples of 1 Romulus and Jupiter Capitolinus. A hundred smaller columns ornamented the shrines and chapels. The walls were . covered with paintings of religious subjects, and the tribunal ' was enriched with elaborate mosaics. , of lamps illuminated this temple; in the greater solemnities ‘ 2,400 were reckoned, of which one enormous candelabrum . contained 1,360. The tombs of pontiffs, kings, cardinals, and ? princes, were reared against the walls, or insulated, in, the 7 ample porticos. An incredible number “ This superb temple was respected by Alaric and Totila, ' and remained uninjured in the various fortunes of Rome during the lapse of twelve centuries; but crumbling with age, it was at last pulled down by Julius IL, and upon its site ; has arisen the famous basilica, the pride of modern Rome. “ The third great basilica built by Constantine, that of St. Paul, on the road to Ostia, still exists. The interior of this building resembles precisely that of St. Peter, which has just been described. Of the forty columns enclosing the great aisle, twenty-four are supposed to have been taken from the mausoleum of Adrian; they are Corinthian, about three feet diameter, fluted their whole length, and cabled to one- third: the columns are of blue-and-white marble, and anti- quity presents nothing in this kind more precious for the materials and workmanship. But these beautiful remains The larger ' ; aisle was enclosed by forty-eight columns of precious marble, Iand the lateral aisles had likewise forty-eight columns of BAS 3O BAS s'eem only to be placed there to the disgrace of the rest of the construction, which is of the age of Constantine and Theodosius, and which most strikingly exemplifies the rapid decline of the arts. “ The churches we have hitherto described, bear a very complete resemblance to the antique basilica in plan and pro- portion. The only remarkable difference is, that the superior galleries are suppressed, in the place of which a wall is raised upon the columns of the great aisle, which is pierced with windows, and supports the roof. “ The church of St. Agnes out of the walls, though not one of the seven churches of Rome which retain the title, is however a perfect imitation of the antique basilica. This resemblance is so complete, that without the testimony of writers, who inform us that it was built by Constantine, at the request of Constantia, his sister or daughter, and without the details of its architecture, which forbid us to date it higher, it might be taken rather for an ancient tribunal of justice, than a modern church. It forms an oblong internally, three sides of which are surrounded with columns forming the porticos; the fourth side opposite the entrance is recessed in a semicircle; this is the tribunal. The first order of columns carries a second, forming an upper gallery, above which begins the ceiling of the edifice. The shortening of the columns, recommended by Vitruvius, is observed in the upper order. “ We have hitherto observed in the Christian basilicas, but small variations from the antique construction: they were still simple quadrilateral halls, divided into three or five aisles, the numerous columns of which supported the flat ceil- ing; but the cross-form, the emblem of Christianity, which began to be adopted in these buildings, operated the most essential changes in their shape. The intersection of the crossing aisles produced a centre, which it was natural to enlarge and make principal in the composition; and the invention of domes, supported on pendentives, enabled the architects to give size and dignity to the centre, without interrupting the vista of the aisles. The church of St. Sophia, at Constantinople, was the first example of this form. “ The seat of the Roman empire being transferred to Con- stantinople, it is natural to suppose that the disposition of the ancient St. Peter's of Rome, esteemed at that time the most magnificent church in the world, was imitated in that which Constantine erected for his new capital, under the name of St. Sophia. This last did not exist long: Constantius, the son of Constantine, raised a new one, which experienced many disasters. Destroyed in part, and rebuilt under the reign of Arcadius, it was burnt under Honorius, and re- established by Theodosius the younger; but a furious sedition having arisen under Justinian, it was reduced to ashes. This emperor having appeased the tumult, and wishing to immor- talize his name by the edifice he was about to erect, assem- bled from various parts the most famous architects. Anthe- mius of Trulles, and Isidore of Miletus, were chosen; and as they had the boldness to attempt a novel construction, they experienced many difficulties and disasters; but at last they had the glory of finishing their design. “The plan of this basilica is a square of about two hundred and fifty feet. The interior forms a Greek cross, that is, a cross with equal arms; the aisles are terminated at two ends by semicircles, and at the other two by square recesses, in which are placed two ranges of tribunals. The aisles are vaulted, and the centre, where they intersect, forms a long square, upon which is raised the dome, of about one hundred and ten feet diameter. The dome, therefore, is supported upon the four arches of the uaves and the penden- tives, or spandrel, which connect the square plan of the centre with the circle of the dome. “ The general effect of the interior is grand ; but whatever praises the bold invention of this immense dome may merit, it must be confessed, that there are times in which princes, however great and liberal, can only produce imperfect monu- ments, of which this edifice is a striking example. All the details of its architecture are defective and barbarous. “ However, from the communication established between Greece and Italy at the revival of letters, this basilica, the last, as well as the most magnificent of the lower empire, was that which influenced most the form and architecture of the new temples. The Venetians, in the tenth century, copied with success the best points in the disposition of St. Sophia, in the church of St. Mark. This is the first in Italy which was constructed with a dome supported on pendenti‘ves; and it is also this which first gave the idea, which has been imitated in St. Peter’s, of the Vatican, of accompanying the great dome of a church with smaller and lower domes, to give it a pyramidal effect. “ From this time to the erection of the basilica of St. Peter’s, we find the churches approach, more or less, to the form of the ancient basilica or the new construction. The church of Santa Maria del Fiore, of Florence, from the magnitude of its dome, and the skill which Brunelleschi displayed in its construction, acquired a celebrity which made the system of domes prevail; and this system was finally established in the noble basilica of the Vatican, which has become the type and example of later ones. The form of the antique basilica was entirely lost, and the name, which has been retained, is the only remain of their ancient resemblance. “ In the pontificate of Julius II. the beginning of the sixteenth century, the basilica of St. Peter’s was begun from the designs of Bramante. This great man formed the idea of suspending, in the centre of the building, a circular temple, as large as the Pantheon, or, as he expressed it, to raise the Pantheon on the temple of peace; and, in fact, we find great resemblance in size and disposition between these two edifices and the project of Bramante. He was succeeded in his office by San Gallo, who almost entirely lost sight of the original plan; but Michael Angelo, to whom at his death the undertaking was committed, concentercd the discordant parts. Michael Angelo died 1564, while he was engaged in erecting the dome; but he left plans and models, which were strictly adhered to by his successors Vignola, J. del Porte, and Fontana, who terminated the dome. The building was carried on under many succeeding pontifl‘s; and at last, by lengthening the longitudinal nave, it acquired the form of the Latin cross; in that particular, approaching to the original design of Bramante. “ The general form of this edifice, externally, is an oblong, with circular projections in three of the sides; the plan of the interior consists of a Latin cross, the intersection of the arms of which is enlarged and formed into an octagon; the head of the long aisles, and the ends of the cross-aisles, are terminated in hemieycles, and the great naves are accompa- nied with lateral aisles, and with several enclosed chapels. The octagon centre supports a circular wall, enriched with pilastcrs and pierced with windows, above which rises the magnificent dome. “ Thus we have traced the progress of the basilica from the quzulrilateral hall of the ancients, with its single roof and flat ceiling, supported on ranges of columns, to the cross-shaped plan, central dome, and vaulted aisles, supported on massy piers, of the modern cathedral. It only remains to treat of the—— BAS 31 BAS “ Modern BASILICA. We give this name, with Palladio, to the civil edifices which are found in many Italian cities, and the destination of which is entirely similar to the antique basilica. “ In imitation of the ancients, (says this celebrated archi- tect,) the cities of Italy construct public halls, which may rightly be called basilicas, as they form partof the habitatlon of the supreme magistrate, and in them the judges admlnister justice. The basilicas of our time (he cont1nues)d1tfer 1n this from the ancient—that those were level with the ground, while ours are raised upon arches, in which are shops for various arts, and the merchandise of the city. There the prisons are also placed, and other buildings belonging to the public business. Another difference is, that the modern basilicas have the porticoes on the outside, while in the ancient they were only in the interior. Of these halls, there is a very noble one at Padua; and another at Brescia, remarkable for its size and ornaments. “But the most celebrated is that of Vicenza; the exterior part of which was built by Palladio, and the whole so much altered that it may pass for his work. The body of the building is of much greater antiquity, though the date of it is unknown. “ Time and various accidents had reduced this edifice to such a state of decay, that it was necessary to think seriously of preventing its total ruin: for this purpose, the most eminent architects were consulted, and the design of Palladio was approved. He removed the ancient loggias, and substi- tuted new portieoes, of a very beautiful invention. These form two galleries in height, the lower order of which is ornamented with Doric engaged columns, at very wide intervals, to answer to the internal pillars of the old building; the space between each column is occupied by an arch, rest- ing on two small columns of the same order, and a pilaster at each side against the large columns, which leaves a space between it and the small columns, of two diameters. The upper portieo of Ionic columns, is disposed in the same man- ner, and a balustrade is placed in the archways. The enta— blature of the large orders is profiled over each column. " This edifice is about one hundred and fifty feet long, and sixty feet broad; the hall is raised above the ground twenty- six feet; it is formed by vaults supported on pillars, and the whole is covered with a wooden dome.”—Rees's Cyclopedia. BASKET, a kind of vase in the form of a basket, filled with flowers, or fruits, or both, used for terminating a decoration. BASSE-COUR, a court separated from the principal one, and destined for the stables, coach-horses, and livery- servants. In a country place, it denotes the yard where the cattle, fowls, 8:0. are kept: it is called by the French ”mudgerze. BASSO-RELIEVO, (Italian; Bas-relief, French) in sculpture, is the representation of figures projecting from a back ground, so as to give relief. It is a general term, com- prehending three distinct species of sculpture. Low relief, sometimes also called bassou'elievo, is that in which no part of the sculpture is detached from the back ground: high- relief, or alto-relievo, is that in which the grosser parts are only attached, while the smaller parts are free: mean-relief, or mezzo-relievo, is a term which some use for a kind of sculpture between the two. Mezzo-relievo is distinguished from alto by having no part entirely disconnected from the plane surface, and from basso-rclievo in having the parts most remote from the back ground, most relieved, whereas the latter has SUch parts least relieved. In the former the outline is less, in the latter more apparent than the forms Within it. ‘ These terms are of modern date, and probably invented in the eleventh and twelfth centuries. The Greeks denominated relievo, or low-relief, by the term anaglypta (Pliny, lib. 33, c. 11,) and alto-relievo was distinguished by the word toreuticeu, or rounded, (Pliny, lib. 34, c. 8,) although this term was occasionally applied to any kind of relief. As .architecture is highly indebted to sculpture for some of its most elegant decorations, it will be proper to give some account in this place of the basso-relievos of the ancients. In point of antiquity, the Egyptian stands first: a know- ledge of their sculpture will be best obtained from the writ- ings of those who have actually visited and surveyed their ruined edifices; in conformity with this, the following description from Denon will, perhaps, be acceptable :———“ The hieroglyphics, which are executed in three different manners, are also of three species, and may take their date from as many periods. From the examination of the difi'erent edifices which have fallen under my eye, I imagine that the most ancient of these characters are only simple outlines, cut in without relief, and very deep; the next in point of age, and which produce the least effect, are simply in a very shallow relief; and‘the third, which seem to belong to a more improved age, and are executed at Tentyra more perfectly than in any other part of Egypt, are in relief below the level of the outline. By the side of the figures which compose these tabular pieces of sculpture, there are some hieroglyphics which appear to be only the explanation of the subjects at large, and in which the forms are more simplified, so as to give a more rapid inscription, or a kind of short-hand, if we may apply the term to sculpture. “ A fourth kind of hieroglyphics appears to be devoted simply to ornament: we have improperly termed it, I know not why, the arabesque. It was adopted by the Greeks, and, in the age of Augustus, was introduced among the Romans; and in the fifteenth century, during the restoration of the arts, it was transmitted by them to us, as a fantastic decoration, the peculiar taste of which formed all its merit. Among the Egyptians, who employed these ornaments with equal taste, every object had a meaning or moral, and at the same time formed the decoration of the friezes, cornices, and surbasements of their architecture. I have discovered at Tentyra the representations of the peristyles of temples in caryatides, which are executed in painting at the baths of Titus, and have been copied by Raphael, and which we con- stantly ape in our rooms, without suspecting that the Egyptians have given us the first models of them.” Again, in describing the temple of Latopolis, Denon says, “The hieroglyphics in relief, with which it is covered within and without, are executed with great care; they contain, among other subjects, a zodiac, and large figures of men with croco- diles’ heads: the capitals, though all different, have a very fine effect; and as an additional proof that the Egyptians borrowed nothing from other people, we may remark, that they have taken all the ornaments, of which those capitals are composed, from the productions of their own country, such as the lotus, the palm-tree, the vine, the rush, 8m. 8:0.” The most ancient and most simple kind of basso-relievos, used by the Egyptians, was cut by recessing the grounds as much as the projection of the figures, so that the surround- ing surfaces, by forming a kind of border, both threw a shade upon the figures and defended them from injury, which they were liable to, as the granite out of which they were cut was of a very brittle nature; by this means much labour was saved in the execution. The Egyptians also employed basso-relievo without any surrounding border, all the figures being raised from the same naked, such as in the palace of Karnac, and those BAS 32 BAT ‘ described in the Bird’s Well, of which there is a specimen in the hall of the British Museum. The material is soft cal- careous stone, in very low relief. The outlines of Egyptian sculpture are ungraceful, and the execution shows a want of the knowledge of anatomy: it may be remarked as somewhat singular, that quadrupeds are more accurately represented in their sculpture than human figures. The basso-relievos found in the excavations of the Indian temples bear a strong resemblance to those of the Egyptians, but are inferior in point of proportion; the heads are too large. Whether the Indian or Egyptian sculpture is the most ancient, is not known; but if simplicity is to be our criterion, we would say the latter. See Daniell’s Ant. The Persians employed basso-relievos in their architec- tural decorations, as may be seen in the palace of Persepolis, and in the royal tombs. The figures are arranged in hori- zontal and vertical lines, and resemble the later hieroglyphics of Egypt, though the dress is very different: those of the Egyptians being particularly distinguished by the hair arti- ficially curled, the hood, the mitre, the close tunic, and apron of papyrus; the Hindoos, by the necklaces, bracelets, and anklets; the Persians, by long beards, and hair ending in small curls, caps, and full tunics, with regular folds and large sleeves; the Medes, by close tunics. The drapery of the Persian figures is more natural than that of the Egyptians; but it cannot be inferred from this, that the figures themselves are of better sculpture, as instances may be shown to the contrary, in the obelisk of Sesostris, in the palace of Karnac, and in the Theban tombs, where the execution is not only more perfect, but the positions of the human figures more varied. See Denon’s Egypt, and Le Brag/72’s Travels. The Grecians excelled all contemporary nations in the art of sculpture, as well as in architecture and geometry; the numerous remains of their edifices show the perfection which they had attained in exquisite workmanship, beautiful pro- portion, and easy and graceful attitudes. They profess to have had their first rudiments from Egypt, and this is com- pletely verified in their first productions, which were similar to those of the Egyptians; however, the art did not long remain stationary; from daily observation, and a strict adhe- rence to nature, they advanced rapidly in the science, and at last, by a knowledge of anatomy, it was brought to such a degree of perfection, that their remaining sculptures have become the very standard of excellence, a criterion which the moderns have never surpassed, and but seldom equalled. Who can behold the scul ture in the pediments and friezes of the Parthenon, and ot rer remains of Athenian grandeur, without astonishment? The pediments of this temple were adorned with entire and separate statues, although from their situation, and the deep shadows cast by them on the tympanum, they must have had the appearance of figures in high relief. The figures in the metopes were in alto, whilst those in the cella were in basso-relievo. This arrangement leads us to notice the great judgment which the Greeks exercised in the selec- tion of the different kinds of sculpture, according to the nature of the situation they were intended to occupy. \Ve find that they almost invariably placed separate statues, and sculptures in high relief on the exterior of their buildings, or in such places as had the advantage of the open light; while, on the contrary, they reserved those in basso-relievo for interiors, where the Lght was not- freely admitted; and this they did evidently for this reason, viz. that in all situations, and under all circumstances, their sculptures might be distinct and intelligible. It needs no argument to prove that figures in high relief are mere readily discernible, when the light is permitted to play equally on all sides of them. Were such figures placed in an imperfectly lighted situation, they would be almost unintelligible, from the shadows which they would throw upon each other. On the other hand, the flatness of basso-relievo, while it obviated the projection of shadows beyond its own surface, ensured the distinctness of the out- lines, and gave to the figures an appearance of rotundity. Mezzo-relievo is only adapted for near inspection. The temples of Theseus and Phigaleia, as well as that of Minerva, were remarkable for the beauty of their sculptures. The basso-relievos of the Romans were, perhaps, at first, confined to their tombs. They never attained a just knowledge, or taste, of the art of sculpture. Their best works were executed by Grecian artists, and are chiefly to be found in the triumphal arches, which are richly charged with basso-relievos. The art attained its greatest perfection in the reign of Augustus, and was greatly on the decline in the time of Constantine. In more modern times, the Italians and Florentines are the only people who arrived at any degree of excellence in sculptures of this kind; and even they departed from the original purity of the Greeks, by attempting to express in their works the effect of perspective We are indebted to Flaxman for the introduction of a purer taste into this country; his style may be considered as a nearer approach to the simplicity of the ancients, than that of either the Italians or the Florentines. BASTION, or BATOON. See TORUS. BAT, a part ofa brick. BATH, a house with accommodation for bathing. structures, and contained hot and cold baths, gymnasia, ambulatories, and even libraries. The most remarkable are those of Agrippa, Titus, Diocletian, and Caracalla. The practice of bathing having been more generally adopted in this country within the last few years, has caused various structures to be erected for the purpose. These, however, are but of small dimensions, and have little pretensions to ; architectural embellishment. BATTEN, a scantling of stuff, from two to six inches broad, and from five-eighths to two inches thick. Battens are employed in the boarding of floors, and also upon walls, in order to secure the laths on which the plaster is laid. Barres-Doors. See DOOR. BATTEN-FLOOR. See BOARDED-FLOORS. BATTENING, the act of fixing battens to walls, in order to secure the laths over which the plaster is laid; or, the battens in the state of being fixed for that purpose. The battens employed are generally about two inches broad, and three-fourths of an inch thick; they may, however, be of various thicknesses, according to the distances the several fixed points in their length are from each other. distance in the clear is from eleven inches to one foot. The ‘ ancient baths at Rome were very spacious and magnificent Q Their Previous to the fixing of battens, either equidistant bond- - timbers should be built in the wall, or the wall should be. plugged equidistantly, and the plugs cut off flush with its surface. In London, plugs are generally placed at the dis tance of one foot or fourteen inches from centre to centre in ' the length of the batten. Battens upon exterior walls, quarters in partition walls, the ceiling and bridging joists of a naked floor, also the common joists for supporting the ‘ boarding of a floor, are fixed at the same distance, viz. from eleven to twelve inches in the clear. of bond-timbers or plugs. then battens are attached to a wall, they are generally fixed in vertical lines : and when fixed to the surface of a brick or stone vault, the intrados of which may be generated by a plane revolving about an axis, they ought to be placed in planes tending to the axis ; “'hen battens are fixed ’ against fines, iron holdfasts are necessarily employed instead BAT as, in this position they have only to be fixed in straight lines, in cases where the intrados is straight towards the axis : such cases occur when the vault is a portion of a cone or cylinder. When the intrados is curved towards the axis, the battens will bend very readily. Great care should be taken to regulate the faces of the battens, so as to be as nearly equidistant as possible from the intended surface of the plaster. Though battens are employed in floors, neither the act of laying them, nor the floor formed of them after— wards, is called battem'ng ; they are more commonly called boarding. Every piece of masonry or brick-work, which is not sufficiently dry, should be battened for lath and plaster; particularly that which is executed in a wet season. When the windows are boarded, and the walls of a room not suffi- ciently thick to contain the shutters, the surface of the plastering is brought out so as to give the architrave a proper projection, and quarterings are used for supporting the lath and plaster, instead of battens. The like practice is observed, when the breast of a chimney projects into the room, in order to cover the recesses, and make the whole side flush, or in the same surface with the breast. BATTER, the declension of a wall from the perpen- dicular : if a plummet be freely suspended from any part of a wall by a plumb-rule, the line coinciding with the draught, and the bottom part of the rule only touching the wall, then the wall is said to batter. This property applies both to straight and circular walls. A wall may be made to batter in any degree, by using a battering-rule, instead of a plumb- rule ; that is, a rule which has the plummet draught oblique to the edge of the rule which is to be applied to the wall. This obliquity is best calculated by the rule of proportion, viz. if the whole height of the building batters at a given distance, what will a given length of rule batter? This distance being found, the top of the rule must be so much broader than the bottom, that is, reckoning from the draught to the edge applied to the wall, for the direction of the other edge is of no conse- quence. Upon this principle, even a body with a curved vertical section may be built ; but in this case the rule will not shift ; if the building stands on a circular plan, it can only be applied at the same altitude all round; and to carry the building to the summit, a new rule must be made at convenient portions of each successive altitude. BATTLED-EMBATTLED, is when the top of a wall has a double row of battlements, formed of a conjunction of straight lines at right angles to each other, both embrasures and rising parts being double ; the lower part of each embrasure less than the upper, and consequently the lower part of each riser broader than the upper. BATTLEMEN TS, indentations on the top of a wall, parapet, or other building. They were first used in ancient fortifications, and were afterwards applied to churches and other-buildings, as mere ornaments. Their outline is generally a conjunction of straight lines at right angles to each other ; each indentation having two interior right angles, and each named part two exterior right angles. Sometimes the hori- zontal section of the rising part is a rectangle, while the bottom of the battlement, and top of the projecting part, slope downward, so as to form an obtuse angle with the face ofthe wall; occasionally, however, the plans of the upright sides of the battlements form the same obtuse angle as the bottom and. top of the rising part. At other times both vertical and horizontal sections are right angles, ornamented equally all round with mouldings, or with a small square projecture: when the vertical sides of the embrasures are perpendicular to the face, the sloping cope generally terminates with a torus or large astragal. In process of time battlements were not confined to crown the principal walls of the building; BEA but were employed in the finish of subordinate parts: they are to be found in the decorations of the transoms of windows, as in those of King Henry the Seventh’s chapel, at West- minster. In this, and in every other case, they are propor- tioned to the architecture they accompany. The battlements employed in the florid style, were perforated in a most beautiful manner, with openings variously formed in sym- metrical figures : such are the latticed battlements, and those formed of polyfoils, &c. The battlements used in this style of building, have not always their parts at right angles to each other, but frequently the standing parts, or those which form the sides of the openings, are raised in the manner of a pediment. BAULK, a piece of timber, from four to ten inches square. BAULK-ROOFING, is when the framing is constructed of baulk-timber. BAY, the open space in a window included between the mullions, otherwise called a day or light. Also the quadrangular space between the principal ribs of a groined roof, across which the diagonal ribs are extended ; or the spaces between the principal divisions of a timber roof. The term is also applied to that part of a building situated between two buttresses. BAY or A BARN, that part situate between the threshing floor and the end of the building, used for depositing the refuse hay or the corn previous to threshing. BAY or JOISTS, the joisting between two binding joists, or between two girders, when there are no binding joists. BAY WINDOW, a projecting window of a polygonal plan, and rising from the ground or the basement of the building. See Bow AND ORIEL WINDOWS. ~ BAZAR, or BAZAAR, among the Turks and Persians, an exchange, where the finest stuffs and wares are sold. Some are open like market—places, others are covered with lofty ceilings, with pierced domes to give light. In these, jewellers, goldsmiths, and other dealers in the richest wares, have their shops. BEAD, in joinery, a moulding of a circular section, stuck on the edge of a piece of stufl“, by a plane of the same name. Beads are of two kinds, one of which is flush with the sur- face, and the other raised: the former is called a quirk-bead, and the latter a cock-bead. BEAD and BUTT WORK, in joinery, a piece of framing having the panels flush with the framing, and stuck or run upon the two edges, which have the grain of the wood in their direction. BEAD and QUIRK, is when a head is stuck on the edge of a piece of stuff, flush with the surface, with one quirk only, or without being returned on the other surface. BEAD and DOUBLE QUIRK. See RETURN BEAD. BEAD and FLUSH WORK, in joinery, a piece of framed work, having a bead run upon every edge of the framing which adjoins to each edge of the included panel. BEAD, BUTT, and SQUARE VVonK, a piece of framing, having bead and butt upon one side, and square on the other. Bead, butt, and square work is chiefly used in doors. BEAD, FLUSH, and SQUARE, a piece of framing, having bead and flush on one side, and nothing but square work on the other; chiefly used in doors. BEAK, a little pendent fillet, left on the edge of the larmier, which forms a canal behind, for preventing the water from running down the lower bed of the cornice. Sometimes the beak is formed by a channel or groove, re- cessed on the soffit of the larmier upwards. In the Ionic temple on the Ilyssus, at Athens, the canal occupies the whole breadth of the sofiit, and so deeply recessed, that the BEA 34 BED lower bed of the cornice is wrought almost out of the height of the recess. BEAK-HEAD MOULDING, a moulding used very commonly in Norman architecture, consisting of ornaments of a peculiar character, placed at regular intervals on a simple moulding. The ornaments may be described as grotesque heads, some apparently of animals, and some approaching the human form, but all invariably terminating in a pointed mouth, or beak as it were, whence their name. Although such ornaments were very frequent, they were of very various designs, two similar ones being seldom found in the same moulding. BEAKING JOINT, in carpentry, is when the heading joints of the boards of a floor fall in the same straight line. This word is not used in London. BEAM, when used in a building, is a piece of timber, or sometimes of metal, for sustaining a weight, or counteracting two equal and opposite forces, either drawing or compressing it in the direction of its length: when it is employed as a lintel, it supports a weight,- when as a tie-beam, it is drawn or extended; and when as a collar-beam, it is compressed. The word beam is most frequently subjoined to another word, used adjectively, or in apposition, which shows the use, situa- tion, or form of the beam: as tie-beam, collar-beam, dragon- beam, straining—beam, camber-beam, hammer-beam, binding- heam, girding-heam, truss-beam, summer—beam, &c. Some of these are also used simply, as, Collar, instead of collar- beam; lintel, instead of lintel-beam; girder, instead of gird- ing-beam; summer, instead of summer-beam. Lintels and girders are almost constantly used alone, and bressummers and joists are never used in composition. “hat is here called collar-beam, is, in old writers, termed wind-beam, strutobeam, 0r strutting-beam. A beam is either lengthened by building it in thicknesses, or by lapping or splicing the ends upon each other, and bolting them through. See BUILDING OF BEAMS and SCARFING. For the manner of strengthening beams, see TRUSS-BEAMS. BEAM COMPASS, an instrument, consisting of wood or metal, with sliding sockets, carrying steel or pencil points, used for describing large circles, beyond the reach of common compasses. BEAM-FILLING, the building of masonry, or brick-work, from the level of the under edges of the beams, to that of their upper edges. Beam-filling occurs either between joists, or floor-beams, or in filling up the triangular space between the top of the wall-plate of the roof, and the lower edges of the rafters, or even to the under surface of the boarding or lath, for slates, tiles, or thatching. This opera- tion is necessary in garret-rooms, where the walls form sides of apartments; where the tie-beams are placed above the bottom of the rafters, and where the sides of the apartments are not to he battened and lathed for plaster, in order to straight the walls. Even in all other cases it is preferable, for the sake of comfort, to beam-fill the spaces. BEARER, a prop, or anything that supports a body in any place; as a wall, post, strut, 8:0. In guttering, bearers are short pieces of timber for supporting the board- mg. BEARING OF A PIECE OF TIMBER, the unsupported distance between the two points or props from which it is suspended; or the distance between two props where there is no inter- vening support. A piece of timber, having any number of supports, one being placed at each extreme, will have as many bearings, wanting one, as there are supports: thus, a piece of timber extended in length over two rooms as joists, will have three supports and two bearings: here the bearers are the two most distant walls and the partition. BEARING, at the ends of a piece of timber, in building is the distance which the ends of that piece are inserted in the walls or piers; as joists are inserted at least nine inches in walls. and the lintel or lintels of an aperture, nine inches at least into each pier. BEARING WALL, or PARTITION, in a building, is a wall which rests upon the solid, and which supports some part of the building, as another wall or partition, either transversely, or in the same direction. When the supporting wall, and the wall supported, are both in the same direction, the wall sup- ported is said to have a solid beafing; but if a wall, or parti- tion, is not supported below throughout its length, it is said to have a false bearing, or as many false bearings as there are intervals below the wall or partition. BEATER, an implement in plastering, used by the labourers, for tempering or incorporating the lime, sand, and hair together; which make the composition called lime and hair, used in first and second coatings, and sometimes, in ordinary rooms, even for finishing coats. BED-CHAMBERS, or BED-ROOMS, are those in which beds are placed; when very small, they are called bed- closets. BEI)s OF A STONE, the two surfaces which generally inter- sect the face of the work in horizontal lines, or in lines nearly so: the higher surface is called the upper-bed, and the lower the under—bed. In the general run of walling, they are the two surfaces which are placed level in the building. In the parapets of bridges they intersect the facing, most fre- quently in lines parallel to the road-way, but are level in the thickness. In every species of vaulting, where all the sec- tions of the intrados of a vault are similar figures, or parallel straight lines, the beds are those surfaces which intersect the intrados in horizontal lines. Of this class are the heads of circular domes, which have spherical or spheroidal intra- dosses; vaults with conic intradosses, and vertical axes ; and vaults with cylindrical intradOSScs and horizontal axes, &0. BEDS OF A STONE, in cylindrical vaulting, are those two surfaces which intersect the intrados of the vault, in lines parallel to the axis of the cylinder. BEDS 0? A STONE, in conic vaulting with a horizontal axis, are those two surfaces which, if produced, would intersect the axis of the cone. The beds of stones, in spherical vaulting, are, or should be, parts of the surfaces of so many cones, ending in a common vertex, as there are courses of stone. If the vault be a hemisphere, the under beds of all the stones in the lowest course or planes, and the upper beds, form part of the surface of a very obtuse-angled cone. In every course of stones, the conic surface formed by the lower beds is that of a cone, with a more obtuse angle than the surface formed by the upper beds of the same course; hence the cones of every successive joint upwards, have their vertical angles continually less, so as to end at last with the axis itself. In vaulting with a conic intrados and vertical axis, the joints form the surfaces of so many distinct cones, which have their vertex in the axis, and which have equal vertical angles, and their surfaces equidistant. In cylindrical, or conic vault- ing, with a horizontal axis, the beds of the stones are in planes tending to the axis. In arching, the beds are called summen'ngs ,- but more pro- perly, radiations, or radiated joints. BED or A SLATE, the lower side placed in contiguity with the boarding or the rafter“. BED MOULDING, that portion of a cornice which is situated immediately below the corona. ‘ the purpose of sustaining one or two bells. BEN 35 BER BEETLE, a large mallet for driving piles, and cleaving wood. BELECTION MOULDINGS, in joinery, are those which surround the panels, and project without the surface of the framing in doors, or other panelled framing: Belectlon mouldings are never stuck on the framing, which is frequently the case with those which are within or below the surface. They are used in the best work of grand finishings. BELF RY, that part of a steeple wherein the bells are hung. This is sometimes called, by writers of the middle age, campam'le. Bells are generally suspended by means of frame-work, which is supported on stone corbels; sometimes, however, the framing is made to bear on a recess formed in the wall, which is the better method, as the vibration caused by ringing has less power to disturb the masonry. Bells for the same reason should be hung as low as practicable. BELFRY, is more particularly applied to the timber-work, by which the bells are supported. BELL, of the Corinthian and Composite capitals, is the vase or tambour concealed beneath the acanthus leaves, or other ornament: its horizontal section is everywhere a circle; the bottom part rises vertically from the top of the shaft, and proceeds upwards in a straight line to a considerable distance; from thence it changes into a concavity, which terminates with the fillet, in the manner of the scape or apophyge. BELL-COT, BELL-GABLE, or BELL-TURRET. A small open turret situate on the apex of the gable of small Gothic churches, generally at the east or west end of the nave, for It is sometimes of an hexagonal or multangular plan, covered with a pyra- midal roof, or spire, of which kind there is a beautiful specimen at Corston Church, Wiltshire; it most generally, however, consists of a continuation of a certain width of the gable wall to a considerable height above the apex, the part above which is perforated with one or more arched apertures in which the bells are hung; above this again the roof is finished in the form of a gable, and the whole surmounted by a finial or cross. Examples of such gables frequently occur; we may instance an elegant one at Skelton near York. Plain timber bell-cots of square plan and low pyramidal roof, are very common in Essex. Bell-gables at the eastern extremity of the \nave were generally appropriated to the sanctus or sacringe bell, which was rung when the priest pronounced the Ter-sanctus, as also at the elevation of the host. BELL-ROOF, that of which the vertical section perpendi- cular to the wall, or to its springing line, is a curve of con- trary flexure; it being concave at the bottom, and convex at the top. A bell—roof is of that kind of ogee-roofs, called the sima recta roof. BELT, in masonry, a course of stones projecting from the naked, either moulded, plain, fluted, or enriched with pateras at regular intervals, which again may be either plain or fluted. BELVEDERE, or LOOK-OUT, is a turret, or some part of an edifice raised above the roof, for the purpose of affording a view of surrounding scenery. The term is also applied to single edifices or temples, sometimes erected in gardens and pleasure-grounds, used for the above purpose, as well as to beautify the landscape. Belvederes are very common in Italy and France, and some of them are very magnificent: the most celebrated is that built by Bramante in the Vatican. . BENCH, the table on which joinery for the use of build- ing is prepared. See JOINERY. BENCH-HOOK, a movable pin, passing through a mortise in the top of the bench, for preventing the stuff wrought by the plane from sliding. BEND. See BENDING. BENDA. See FASCIA. BENDING, the act of the incurvation of a body from a straight to a crooked form. A piece of timber, such as a plank, may be very conveniently bent, by placing it within a long hollow prismatic trunk, opened only at one end for its insertion; the end through which it is introduced is then shut close, and the one extremity of a steam-pipe having been inserted in a hole in one of the sides or ends of the trunk, all the crevices are shut, and the steam is admitted. When the plank has remained for a certain time, it may be taken out, and should be immediately bent round the convex surface of an inflexible body, made on purpose: when it has been properly fixed to the body, it is to remain till it is quite cold, or properly stiff, and it will retain its form: after this, it may be taken off and dressed, and lastly fixed in its intended situation. The practice of ship-building proves that plank-wood, of almost any thickness, may be brought to any degree of curvature, by the effect of heat, which seems to mollify the cementing matter, so as to permit the fibres to slide over one another. This may be effected either by boiling or heating; but by heating, it is very difficult to introduce a uniform temperature throughout the parts of the body to be bent. For thick planks a sand-stove, similar to the sand-bath used in chemical operations, is employed; but for thin planks, a vapour-stove. BERNINI, GIOVANNI LORENZO, born 1598, died 1680. His father, Pietro Bernini, a Florentine, was a painter and sculptor of more than common talents. Giovanni’s first work in architecture was the great central altar of St. Peter’s, remarkable for its twisted columns; its novelty, singularity, and the difiiculty of its execution surprised, and had many imitators. By desire of the pope, he adorned with niches the four great piers which support the cupola of St. Peter’s. He was employed in the construction of the palace Barberini, particularly in that of the stairs, the great hall, and the principal front. The front has on the lower floor a Doric, very well understood; but the application of so many cor- nices, and the great arched windows, do not add to the beauty of the structure. The front of the Propaganda Fide, is also the work of Bernini: that building threatened ruin, to prevent which he erected a battering basement, which increased at the same time both the beauty and strength of the structure. Urban VIII. wishing to complete the front of St. Peter's, which, according to the design of Maderno, required, at its extremities, two steeples, gave the commission to Bernini. He designed and executed the fine fountain of the Piazza Navona. For Prince Ludovisi, he begun a great palace, which in its principal front presented five faces; this edifice was afterwards converted into a great law-court, called Curia Innocenziana, one of the finest palaces in Rome. Alexander VII. gave him many works to execute, among which is the piazza before St. Peter’s. By order of this pope, he planned many buildings, among which is remarkable, the palace of Santi Apostoli. The very elegant church, of an elliptic figure, of the Novitiate of the Jesuits, is likewise his. Louis XIV. and Colbert his minister, both admirers of the fine arts, ordered Bernini to make drawings for the palace of the Louvre, for which building the first architects were stimulated; these drawings pleased so much, that the monarch sent him his portrait set in gems, and wrote very engaging letters to the pope, and to Bernini him- self, that he might go to France to execute them. In conse- quence of which, though an old man, he left Rome, and went to Paris, where he was received as if the only man worthy to work for Louis XIV. When Bernini had seen the front of the Louvre, by Perault, he said publicly, that his coming to France was useless, where there were architects (f the first n..— BIT BLO class. This trait does more honour to Bernini, than all his abilities as an architect. In fact, with regard to architecture, which he was sent principally for to France, he did nothing. He made the king’s bust, and during the eight months he staid in France, he was paid at the rate of five pounds a day; and received at last a gift Of 50,000 crowns, and an annual pension of 2000, and a pension for his son, whom he took with him, of 500. When he returned to Rome, in gratitude to his majesty, he made an equestrian statue, which was placed in Versailles. Under Pope Clement IX. he embellished the bridge of St. Angelo with an elegant iron balustrade. BEVEL, the oblique angle which the two surfaces of a body make with one another ; the name also of an instrument for taking oblique angles. That which is most commonly used, has the stock mortised to receive the blade, which is fixed to the stock by a pin, and made to form any angle by that means: this is particularly useful when one or a few angles are to be taken. In some places, for the want of space, this bevel cannot be applied: to accommodate this circum- stance, the blade is made to shift in the stock; so that either part from the pin may be of any given length. The blade is made to pass through the pin by a longitudinal mortise, and fixed fast to the stock by means of a screw, after Setting it to the angle. When many things are to be wrought to the same angle, an immovable bevel should be used, particularly when the blade, or stock, or both, are incurvated: when the interior angle is used, this bevel is called a joint-hook. In working the intradosses, and radiating beds of stone arches, a joint-hook should be employed; one of the sides is incur- vated to the arch, and the other straight side is a part of the radius produced: the workman must here observe, that this hook will apply, whatever he the thickness of the stones. BILLET MOULDING, a moulding peculiar to Norman architecture, consisting of small cylinders placed lengthwise at regular distances in a concave semicircular moulding. The entire moulding consisted generally Of two rows or tiers ; the cylinders in each tier ranged in such a manner that one cylinder should not come immediately above or below another, but they were placed alternately so that a space was always Opposed to a cylinder, and vice versd. A square billet, called also corbel-bole, is likewise found. This differs from the above, inasmuch as the billets are cubes instead of cylinders, and are placed on a flat band, or on the naked walling, their usual Office being to support a blocking course. BINDING JOIST S, those beams in a floor, which support transversely the bridgings above, and the ceiling-joists below. See BRIDGING FLOORS. When binding joists are placed parallel to the chimney- side of a room, the extreme one on this side ought never to be placed close to the breast, but at a distance equal to the breadth of the slab, in order to allow for the throwing of the brick trimmer for the support of the hearth. BINDING-RAFTERS, the same as PURLINS. BIRD’S-MOUTH, an interior angle cut on the end of a piece Of timber, in order to rest firmly upon an exterior angle of another piece. BIT, a boring instrument, so constructed as to be inserted or taken out of a handle, called a stock, by means of a spriiw. The general form of the handle is divided into five parts, all in the same plane, the middle and two extreme parts being parallel. The two extreme parts are in the same straight line, one of them has a brass end, with a socket for contain- ing the bit, which when fixed falls into the same straight line with the other end of the stock; the farther end has a knob so attached as to remain stationary, while all the other parts of the apparatus may be turned round by means of the projecting part of the handle. BITS are of various kinds, depending on their use: Shell BITS are used for boring wood, and have an interior cylindric concavity for containing the core. Centre BITS, are those which run upon a centre in the middle of the breadth ; one extremity is formed into a cutting edge, which cuts the wood across the grain around the cir- cumference, and the radius on the other side of the centre contains a cutting edge, the whole length of this radius, and projects forward from the face of the bit, so as to take out the core, which in the act of boring forms a spiral. The use of the centre-bit, is to form a large cylindric hole or excavation, having the upper point of the axis of the cylinder given on the surface of the wood. The centre of the bit is fixed into this point, then placing the axis of the stock and bit in the intended direction, the head being placed against the breast, turn it swiftly round by the handle, and the core will be discharged by rising upwards. Centre bits are of different diameters. Countersinks, are bits for widening the upper part of a hole, in wood or iron, to take in the head of a screw or pin, so as not to appear above the surface of the wood. Counter- sinks have from two to twelve cutters around the surface of a cone, which contains a vertical angle of ninety degrees. Countersinks for iron have two cutting edges, and those for wood and brass, the greatest number. Bimers, are bits for widening holes, and for this purpose are of a pyramidal structure, having their vertical angle about 3% degrees. In the use of rimers, the hole must be first pierced by means of a drill or punch. The operation of a rimer is rather scraping than boring. Rimers for boring brass, have their horizontal sections of a semicircular figure, and those for iron, polygonal. . Taper Shell BITS, are conical within and without, with their horizontal sections crescent-formed. The use of shell— bits is to widen holes in wood. Besides the above bits, some stocks are provided with a screwdriver, for sinking small screws into wood with greater rapidity than could be done by hand. BITUMEN, a tenacious matter, used in early Eastern structures, instead of mortar. The walls of Babylon, we are informed, were cemented with this matter. See ASPIIALTUM. BLANK DOOR, is that which is either shut to prevent ‘ passage, or placed in the back of a recess, where there is no entrance, so as to appear like a real door. BLANK WINDOW, is that which is made to appear like a real window ; but is only formed in the recess of a wall. .‘ \Vhen it is necessary to introduce blank windows, in order to preserve the symmetry, it is much better to build the apertures as the other real windows, provided that flues or funnels do not interfere, and instead of representing the sashes with paint, real sashes should be introduced: the panes of glass may be painted on the back. BLINDS, screens forming an appendage to a window, for the purpose either of excluding light, or ot'preventing persons . outside from seeing into the interior of an apartment. Blinds are made of various materials, and of forms too numerous and too well known to need description in this work. BLOCKING-COURSE, or simply BLOCKING, in masonry, a course of stones laid on the top Of the cornice, crowning the walls. The blocking-courses were used by the ancients to terminate the walls of a building, as well as attics. pilastrade of the arch of the Goldsmiths, at Rome, is sur- rounded with a blocking-course, the height of which is nearly equal to the breadth of the pilasters. The height of that on the Colosseum is nearly once and a half of the The ; pilasters, or nearly equal to the cornice and frieze taken . together: the same may be said of the amphitheatre at ’ BOA 3 n 4 BOA Verona. The blocking-course of the temple of Jupiter, at Spalatro, is in height something less than the upper diameter of the column. . . . BLOCKINGS, in joinery, are small pieces of timber fitted m, and glued or fixed! to the interior angle of two boards, or other pieces, in order to give additional strength to the joint. In gluing up columns, the staves are all successwely glued, and strengthened with blockings ; also the risers and treads of stairs, and all other joinings that- require more additional strength than what their own joints. will give. Blockings are always concealed from the sight. BLONDEL, JOHN FRANCIS, died 1773, at Metz. He constructed the royal abbey of St. Louis, with a square and street, leading directly opposite to the cathedral; he erected also the town-house, with a. building opposite, and farther on barracks, with magazines over; them. The fine front of the parliament-house, and the sumptuous palace of the bishop, are also his works. He showed no less ability at Strasburg, where, in 1768, he took the plan of- that city, and built there barracks for infantry and cavalry, a hall or amphitheatre, with three tiers of boxes, a royal: square, 3 senate-house, a market, and various stone bridges. This celebrated architect, besides other works executed at Paris and elsewhere, furnished the plates of the last edition of D’Avilen on French architecture, in three volumes, with six hundred plates of the principal edifices in France. T hese, three volumes were to have been followed by five others. He established an architectural school at Paris, in 1744. In the middle of all this work he became a writer for the French Encyclopedia; but his great work, of universal utility, is the Course of Architecture, the result, as he says, of forty years" experience and researches. The work is divided into three parts ;; the first regards beauty or decora- tion, and is comprised in two volumes in octavo, with the volume of figures ;, the second treats of convenience or dis- tribution, and contains the. like number of volumes; the third part, on the solidity of building, the author did not live to complete. BOARD, a piece of timber, of an oblong or trapezoidal section, and Of any length. All timbers less than two inches and a half in thickness, and more than four inches broad, may be called boards. When boards are of a trapezoidal section, that is, thinner on one edge than the other, they are called feather-edged- boards. Boards broader than nine inches, are called planks. Fir boards are called deals; these are generally imported into England ready sawed, because they are prepared cheaper abroad, by means of saw-mills. Fir boards, one inch and a quarter thick, are called whole-deal,- and those full half an inch thick, are called slit-deal. BOARDED FLOORS, are those covered with boards. The operation of boarding floors may commence as soon as the windows are in, and the plaster dry. The preparations of the boards for this purpose are as follow. They should be planed on their best face, and set out to season till the natural sap has been quite expelled. See SEASONING OF WOOD. They may next be planed smooth, shot and squared upon one edge ; the opposite edges are brought to a breadth, by drawing a line on the face parallel to the other edge with a flooring gauge ; they are then gauged to a thickness with a common gauge, and rebated down on the back to the lines drawn by the gauge. The next thing to be done is to try the joists, whether they be level or not ; if they are found to be depressed in the middle, they must be furred up ;. and if found to be protuberant, must be reduced by the adze: the former is more generally the case. The boards employed in flooring are either battens. or deals of greater breadth. With reference to. quality, battens are divided into three classes ; the best kind is that free from knots, shakes, sap wood, or cross-grained stuff; and well matched, that is, selected with the greatest care ; the second best is that in which. only small but sound knots are permitted, and free from shakes and sapwood : the most common kind is that which is left after taking; away the best and second-best. With regard to the joints of flooring-boards, they are either quite square, plowed and tongued, rebated, or doweled: in fixing them they are nailed either upon one or both edges. They are always necessarily nailed! on both edges when the joints are plain or square, without dowels. When they are doweled, they may be nailed on one or both edges ; but in the best doweled: work, the outer edge only is nailed, by driving the brad obliquely through that edge, without piercing the surface Of the boards, so that the surface of the floor, when cleaned Off, appears without blemish. In. laying boarded floors, the boards are sometimes laid one after another ; or otherwise, one is first laid, then another, leaving- an interval something less than the breadth of three, four, or five boards in contact ; so that if the first and sixth boards are laid, there will be an interval something less than the breadth of four boards. Now place the four intermediate boards in contact with each other, and the two outer edges in contact with the edgesof the first and sixth boards already laid. The space left, as. above mentioned, being somewhat less than the width of four b0ards,,will not allow this number to lie flat, but will cause them. to. assume the form of an arch, having the under parts of the edges in close contact, while the upper parts will remain open. In order therefore to bring them to a. level and the joints close, two or more workmen mustjump upon the ridges till they have brought the under sides of the boards close to the joists,‘when they are fixed in their places with brads. In this. last method the boards are said to be folded. This mode is only adopted when the boards are not sufficiently seasoned, or suspected to be so. In order to make close work, it is obvious, that the two edges, forming each of the three joints of the second and third, third and fourth, fourth and fifth boards, must form angles with the faces, each less than a right angle. The eleventh board is fixed as the sixth, and the seventh, eighth, ninth, and tenth, are inserted as the second, third, fourth, and fifth; and so on till the completion. The headings are either, square, splayed, or plowed and tongued. When it is necessary to have a heading in the length of the floor, it should always be upon ajoist, and one heading should never meet another. When floors are doweled, it is more necessary to place dowels over the middle of the inter-joist than over the joists, in order to prevent the edge of the one board from passing that of the other. When the boards are only bradded upon one edge, the brads are most frequently concealed, by driving flooring- brads slantingly through the outer edge of every successive board without piercing the upper surface. In adzing away the under—sides of the boards opposite to the joists in order to equalize their thickness, the greatest care should be taken to chip them straight, and exactly down to the rebates, as the soundness of the floor depends on this. Boards employed in flooring houses are from an inch to an inch and a half thick. The best floors are those that are laid with the best battens. BOARDING-.JOISTS, are those joists in naked flooring to which the boards are fixed. BOARDING, ngfi‘er. See LUFFER-BOARDS, and Levin:- BOARDS. BOARDING FOR PUGGING OR DEAFENING. BOARDING. See SOUND- lf‘wxfi BOL 38 BON BOARDING FOR. SLATING, are boards nailed to the rafters for fixing the slates. They are in general about three- quarters or seven-eighths of an inch thick, the sides are most commonly rough, the edges either rough, shot, plowed and tongued, or rebated, and sometimes sprung, that is, beveled, so as to prevent the rain from running through the joints. Boarding for slates may be made so as to take away the lateral pressure from the walls, by disposing the boards in the form of a truss. Upon the lower edge of the boarding must be fixed the eaves-lath or board, and also against all walls that are either at right angles to, or forming an acute angle with the ridge, or a right or obtuse angle with the wall-plate. The eaves-lath at the bottom is for raising the lower ends of the under row of slates which form the cave. T hose placed against walls in the positions now mentioned are for raising the slates, in order to make the water run off from the wall, as otherwise it would make its way below the lead and down the joint, between the end of the slates and the wall. Boarding for slates should be yellow deal without sap, which, as well as weather-boarding, is measured by the superficial foot, and valued in the bill by the square of one hundred superficial feet. BOARDING FOR LEADEN PLATFORMS AND GUTTERS, is sel- dom less than one and one—eighth, or one and one-quarter inch thick, most frequently with rough joints only. BOARDING FOR LINING WALLS, is commonly about five- eighths or three-quarters of an inch thick, plowed and tongued together. BOARDING Fo-R OUTSIDE WALLS. 'See WEATHER-BOARDING. BOARDS, Listed, are those reduced in their breadth by taking away the sap-wood. BOARDS, Lever, are those placed in the opening of an aperture made to turn on centres at the ends, in one move- ‘ ment, so as to admit or exclude the air at pleasure. BOARDS FOR THE VALLEYS or A ROOF. BOARDS. BOASTER, or BOASTING-TOOL, iii-masonry. See MA SONIC TOOLS. BOASTING, in stone-cutting, is pairing the stone with a broad chisel and mallet, but not in uniform lines. BOASTING, in carving, is the rough cutting round the ornaments, so as .to reduce them to their contours or out- lines, before the incisions are made for forming the raffels or minute parts. BODY OF A NICIIE, is that part of the recess which has its superficies vertical. .If the lower part is cylindrical, and the upper part Spherical, the lower part is the body, and the upper part is called t 1e head. See NICIIE. BODY OF A ROOM-z where there are recesses in the ends or sides, the principal part, from which the recesses are made, is called the body. BODY RANGE or A GRO‘IN. When two openings inter- sect each other, the widest is called the body range. See GROIN. BOFFRAND, GERMAIN, an architect born at Nantes, in 1667, and died at Paris, aged eighty-seven. He built several grand edifices, and executed a number of bridges, canals, &c. He also wrote on the principles of architecture.—D’Argen- ville Du Fresnoy. BOLSTERS. Sec BALUSTERS or THE IONIC CAPITAL. BOLT, in joinery, an iron fastening for a door, moved by the hand, and catching in a staple or notch to receive it. BOLTS are of various kinds: plate, spring, andflush bolts, are for fastening doors and windows. There are also round bolts, of various sizes, for large doors and gates, and some curious brass bolts for folding-doors, wmch have plates set on the edge of the door, extending the See VALLEY- ‘ whole length, so that by a turn of the knob-handle in the centre of the door, the bolts shut up and down at the same time; and by turning the contrary way the bolts are relieved, and both doors open at once, without farther trouble; these are mostly used when it is necessary to lay two rooms into one. As these bolts are expensive, there are others nearly on the same prin- ciple, denominated spring-latch bolts, about thirteen inches long, with a stout plate: two of these are required to a pair of doors, one at the top, and the other at the bottom : each bolt is shut by a spring, against which the right hand presses, and being shut, both are secured. BOLT OF A LOCK, the iron part by which it is fastened into the jamb, in the act of turning it by the key. Of these there are two kinds: one, which, in the closing of the door, shuts of itself, and is called a spring-boil,- the other, which is shut by the key, is called a dormant—bolt. BOLTS, are also large iron cylindrical pins, with round knobs at one end of a greater diameter, and a slit at the other end, through which a pin or fore-lock passes, for making fast the bar of a door, window-shutter, or the like. These are particularly called round-bolts, or window-bolts. BOLTS OF IRON, in carpentry, are those square or cylin- drical pins which pass through two or more pieces of timber, with a broad knob at one end, and a nut screwed to the other, for securing them together. Bolts of this description must always be proportioned to the size and stress of the timbers so connected. BOMON, in Grecian antiquity, an altar to a god. BONANNO, an architect who flourished about 1174. He built the famous tower at ‘Pisa, in conjunction with Guillaume, a German.——Felebien. BONARROTTI, BUONAROTI, or BONAROTA, MICHAEL ANGELO, a celebrated painter, sculptor, and architect, born at Chiusi, in Tuscany, in the year 1474. His talents were SO early developed, that he is figuratively said to have been born a painter; and his parents Observing the turn of his genius, put him under the tuition of Dominico Ghirlandaio, whom he soon surpassed; for at the age of sixteen he executed some pieces rivaling even those of antiquity. ‘Under the auspices of that great patron of the arts, Lorenzo di Medicis, he estab- lished an academy for painting and sculpture at Florence; which on account of the troubles of the house of Medici, he afterwards removed to Bologna. At the age of twenty-nine, he was employed by ‘Pope Julius II. to construct a grand mausoleum; but before it was finished, he returned to Flo- rence in disgust, on account of some pecuniary matters. From Florence he would have gone to Constantinople, whither he had been invited by the grand Signor, to build a bridge from that city to Pera, had he not been prevailed upon to return to Rome by Soderini, the gonfalonier, or holy standard- bearer. This officer recommended him to his brother, Cardinal Sederini, who introduced him to the pope, at Bologna. Here he met with an envious competitor, in the person of Lazzari Bramante d'Urbino, who had been employed by the pope, and was unwilling to share his honours and profits with another. He endeavoured :to excite a spirit of discontent in Bonarrotti, byinsinuating that the pope was too much offended at his former conduct, to permit him to resume the building of the mausoleum; and to the pope he represented, that as Bonarrotti was a painter, he might be more advantageously employed in painting the arch of the Sextine chapel, at Rome, than in any other work. It should seem from this, that Bonarrotti had not yet displayed those talents as arpainter, with which he afterwards fascinated the world; for it is cer- tain that Bramante, considering him as a dangerous rival, meant nothing less than his complete disgrace. Bonarrotti, however, though contrary to his inclination, paint-ed the arch, BON 89 BON so much to the pope’s satisfaction, that he was taken into greater favour than ever: . Pope Leo X. ordered him to make a desrgn for the front of the church of St. Laurence, at Florence, for whlch also seve- ral other architects had given in drawings, but Bonarrotti’s being preferred, he was sent to. Florence to superintend the building; the vestry of which is reckoned among hrs best productions. In this city he also built the Medicean Library, the niches and staircase of which are of a very curious con.- struction. On the death of Sangallo, in 1546, the pope, Paul III. appointed Bonarrotti architect of St. Peters, at. Rome, an appointment which he at first declined; but being vested with unlimited powers for carrying on the work, he not only accepted it, but even refused any remuneration for his labours. Sangallo had left a model for finishing the build- ing, which had cost 4184 Roman crowns, and occupied some years in making; according to which the edifice itself could not have been completed in fifty years and upwards. The first use Bonarrotti made of his extensive commission was to set this model aside; and in fifteen days he produced another, for the small cost of twenty-five crowns, by which he pro- posed to raise that venerable pile with far greater facility and expedition, and with more majestic grandeur, than the plans of any of his predecessors could have given it. The four great piers, by which the cupola was to be supported, had been erected by Bramante, but they were so very weak, that succeeding architects had found it necessary to strengthen them. Bonarrotti thinking them still insuflicient for the purpose, he enlarged them to their present gigantic size, and contrived to leave voids, like wells, in them, probably for the purpose of keeping them dry. Similar vacuities he left in the principal walls, through which he carried a winding staircase, so wide, and u on so gentle an ascent, that he was enabled to convey materials to the height of the level of the arches on beasts of burden. The great cornice over the arches differs from the common cornice, in having less pro- jection and fewer members; and the imposts of the pilasters have a greater projection. In each of the two curved extre- mities of the transept, it had been intended by former archi- tects to place eight tabernacles, or altars; but Bonarrotti reduced their number to three, and threw an arch over them, subdivided into a few well-proportioned compartments; and to prevent any alterations in his design by future architects, he built the whole so solid that it could not conveniently be changed. He lived, however, to see the building carried to the height of the tambour on which the cupola was to be laid, when, on account of his age, his friends urged him to should be spoiled by the incapacity or whim of a succeeding architect. With this request be 'complied, and formed one of clay, which he afterwards caused to be made of more durable materials, by Giovanni Farnese. This model was universally approved, and finally executed in the pontificate of Sextus V. Whilst Bonarrotti was engaged in the build- ing of St. Peter’s, the officers called conservators, in the time of Paul III. resolved to reduce the Capitol to an useful and conrenient shape, for which purpose they applied to Bonarrotti. He accordingly began the Senators’ Palace, in the centre, ascended from without by a double flight of steps, landing on a level introduced between the two flights. The wing, denominated the Conservatorium, is entirely from his design. The ground-floor consists .of an external and an internal portico, supported by sixty-eight columns of the Ionic order, surmounted with that elegant capital, the inven- tion of which is attributed to himself. There is, however, a great blemish in this part of the building; for, in order to frame a model of the dome, lest what he had already done . give a due proportion to the width of the portico, the columns are niched into the wall, an expedient never productive of beautiful effect. About this time, he also finished the Far- nesian Palace, which had been begun by Sangallo. He likewise designed and executed the gate, called Porto Pia, the architecture of which is not very regular: of many other gates designed by him, it is uncertain whether any of them were ever constructed, but they are all of the same irregular taste. The great central hall of the Dioclesian baths was converted into a church from a design of his; as were the chapel of the Strozzi family, at Florence, and the college of the Sapienza, except the part where the church is situated; it is upon the whole a very fine edifice, Old age having at length rendered this great architect incapable of personal exertions, Nanni Bigio was secretly commissioned by the pope to superintend the building of St. Peter’s, but with strict orders to adhere minutely to the plans and model of Bonarrotti, who died in 1564, in his 90th year, before the dome was completed. His body was transported . to Florence, by order of Comes de Medicis, where it received the most splendid funeral honours, and a superb mausoleum was erected to his memory, at the expense of the grand duke. BOND, in building, in a general sense, is the manner of making two or more bodies fast together. BOND, in masonry, or brickwork, is the disposition of stones or bricks in building. It is a principle in every kind of bond to prevent vertical joints falling upon one another. When a course of masonry has any number of stones placed at regular intervals in the length of that course, and the lengths of the stone placed in the thickness of the wall, and when there are two or more intermediate stones in the same course, with their lengths placed horizontally on the facing or surface, between each two of the former stones _: this kind of bond is called header and stretcher. The stones which have their length placed in the thickness of the wall are called headers, and those which have their longest horizontal dimensions placed in the exterior, or front, are called stretchers, Where masonry consists of rubble-work, and where the stones are not disposed in courses, the jambs of apertures, should there be any, are generally built with ashlar; every second stone in the height of each jamb is inserted so as to pass through the whole thickness of. the wall: and the hori- zontal dimension on the facing of every intermediate stone is much greater than that of those which are inserted the whole thickness. The stones that are inserted the whole thickness of the wall are called heading jambs, and the intermediate stones which have their length placed horizontally in the face, are called stretching jambs. * BOND, Heart, in masonry, is, when two stones which appear in the front and rear of a wall meet in the centre of it, and when a third stone is placed over the joint, in order to bind the facing and backing together, where otherwise it would be expensive to insert stones the whole thickness of the wall. BOND-STONES, are those used in uncoursed rubble walling, that have their longest horizontal dimension placed in the thickness of the work: these should be placed at regular intervals, both altitudinally and horizontally, so that every stone of one row may fall between every two of each adjacent row. Bond-stones that are inserted the whole thickness of masonry are called perpends or perpend—Stones. Bond-stones only differ from headers in this, that bond—stones are used to bind rubble and brickwork, and headers are laid in regular courses, with an equal number of headers between every two stretchers. BOND, English, is, when every two courses of bricks with the length of the bri the inserted in the thickness of the wall. BON BOR has one course between them, with their lengths placed horizontally 1n the front of the wall: the courses in which the length of the bricks is placed in the thickness of the wall, are called beading-courses ,- and those which have the length of the bricks placed horizontally in the face of the work, are called stretching-courses. .BOND, Flemish, in brickwork, is that which has one header between every two stretchers, and one stretcher between every two headers throughout the same course. This is considered the neatest and most beautiful ; but is attended with great inconvenience in the execution, and in most cases does not unite the" parts of a wall with the same degree of firmness as the English bond. ' Those who are desirous to enter into an examination of the comparative merits of these two species of Bond, will be gratified in the perusal of Mr. G. Saunders’ Tract on Brick- bond ; it is sufficient in this place to observe generally, that Whatever advantages are gained by the Flemish Bond in tying a wall together in its thickness, are lost in the longitudinal bond; and vice verse. To remove this inconvenience, in thick walls, some builders place the bricks in the core at an angle of forty-five degrees, called herring-bone, parallel to each other throughout the length of every course, but reversed in the alternate courses; so that the bricks cross each other at right angles. But even here, though the bricks in the core have sufficient bond, the sides are very imperfectly tied to the core, on account of the triangular interstices formed by the oblique direction of the internal bricks against the flat edges of those on the outside. With respect to English bond, it may be remarked, that as the longitudinal extent of a brick is nine inches, and its breadth four and a half; it is usual—to prevent two vertical joints from running over each other at the end of the first stretcher from the corner, after placing the return corner stretcher, which becomes a header in the face that the stretcher is in below, and occupies half the length of this stretcher—to place a quarter brick on the side, so that the two together extend six inches and three-quarters, leaving a lap of two inches and a half for the next header. The but thus introduced is called a closer. A similar effect might be obtained by introducing a three-quarter bat at the corner of the stretching course, and then the corner header being laid over it, a lap of two inches and a half will be left at the end of the stretchers below, for the next header, which being laid, the joint below the stretchers will coincide with its middle. BOND-TIMBERS, are those horizontal pieces, built in stone or brick walls, for strengthening the building, and securing the battening, lath, and plaster: also the horizontal mould- ings, or finishings of wood. Bond-timbers disposed in tires, at altitudes corresponding to those of the horizontal mouldings, in the finishing of apart- ments, as behind skirtings, bases, and surbases, are called ' common-bond; the scantling of which is generally four inches broad in the thickness of the wall, and two inches and a half thick in the altitude of the wall, so as to be equal in thick- ness to a course of bricks. Bond-timbers placed in or near the middle of the story, of eight inches wide in the thickness of the wall, and five inches and a half deep (or about the length and thickness of two bricks) in the altitude of the wall, are called chain-timbers, or chain-bond. In brick buildings, when the lintels of a range of windows are considerably below the ceiling, the lintels may be continued through the walls as bond-timbers: in this case the thickness of the bond-timbers should be regulated by the necessary thickness of the lintels. When bond-timbers are also the wall-plates of floors or roofs, their scantling is generally the same as that of the chain-bond. The whole of the plate and chain-bond should be continued on one side of each internal wall, where the funnels or flues permit, as well as on the inside of the external walls, and properly notched and fastened at the angles. Bond- timbers will, in most cases, prevent a building from cracking, where the foundation is infirm: they are easily executed in brickwork, or in coursed stone-work ; but in rubble-stone it is difficult, as the work must be leveled at every height in which they are disposer]; for which reason plugging is pre- ferable in such work. Plugging has one very material advantage over bond-timbers, that in case of fire, the walls are less liable to tumble or warp, for they are not reduced in their thickness ; but this must he the case where bond-timbers are employed, as they form a part of the thickness of the walls themselves. Bond-timbers should be avoided in damp situa- tions, such as basements of houses, as they are liable to rot and thus render the buildings insecure. Within the last few years, a practice has arisen of intro- ducing iron-hoop in place of bond—timber. Several strips or lengths of hoop are laid on at every four or five courses of bricks, and worked in as bond-timbers are—sometimes they are placed at intervals of three or four feet in the height of walls. It is pretended that great advantages, as regards danger from fire, result from this practice, but we are strongly inclined to the opinion that whatever good may arise from the incombustible nature of the material, is more than counterbalanced by the absence of the same strength as that given by timber-bond. BONDS, are all the timbers disposed in the walls of a house, such as bond:timbers,1intels, and wall-plates. See FIR, in BOND. BONING, in carpentry and masonry, is the act of making a plane surface by the direction of the eye. It is by boning with two straight edges that joiners try up their work, whether it be in or out of winding, that is, Whether the surface be twisted or a plane. Many country masons and ‘ bricklayers level the tops of their walls without an instru- . ment, by boning them with the contour of the surface of the ‘ sea, where it is not apparently terminated with land on the other side. This mode comes so near the truth, even though the building be raised a considerable distance above the sur- face of the water, that the difference cannot be perceived upon the common levels. BONOMI, Josmx, an architect, born in Italy, and died ; in 1808. He was an associate of the Royal Academy in London. He built several mansions and villas, and was esteemed an artist of superior abilities. BOOTH, a temporary wooden building. BORDERS, are three pieces of wood which are generally mitered together round the slab of a chimney, flush with the surface of the floor. BORING, the act of perforating a solid. For the purpose ‘ of boring wood, joiners use a centre-bit, nose-bit, shell-bit, and auger-bit, each kind of which is of many sizes. See BIT. BORROMINI, FRANCISCO, born in 1599, in Bissone, diocese of Como. His father was an architect, and much employed by the Casa, or family of Visconti. Francisco was sent, at an early age, to Milan, to study sculpture ; and, at seventeen years of age, he went to Rome to be instructed in architecture, by his relation, Carlo Maderno, who also had him instructed in geometry. Maderno set him to take fair copies of his drawings, and made him execute the che- rubim on either side of the small doors of St. Peter’s, which, with the drapery and festoons over the arches, are the only works of Borromini‘s chisel. He delighted in painting, and some of his pictures are very good, among which is one of the fathers della Chiesa Nuova, in Rome. On Maderno’s death, Borromini was made architect of St. Peter’s, and : BUS 41 BOX remained a little while under the direction of Bernini ; but becoming first emulous of him, then envious, and finally his enemy, he endeavoured to get more commissmns for work, and in fact was employed in a vast number of buildings, where, trying to surpass Bernini in novelties, he laid a51de the common rules, and bewildered his imagination and talents in a labyrinth of extravagances. At the bottom of the court of the Sapienza, he built a church With a concave front, on a polygonal plan, with its sides alternately concave and convex; the exterior of the cupola, which is surrounded above by a balustrade, has a similar figure ; the convex part being formed into steps, interrupted by buttresses. But the lantern is, still more whimsical, having its vase in a zig-zag form, on which is erected a spiral staircase, sustaining a crown of metal with a ball and cross at top. However, the greatest delirium of Borromini, is the style of the church of San Carlino alle Quattro Fontane. So many right, concave, and convex lines, so many columns upon columns of different proportions, with windows, niches, and sculptures, in so small a front, cannot but excite pity for the derangement of the mind by which they were projected. The oratory of the fathers della Chiesa Nuova, has likewise its front com- posed of orbiculated and right lines; wnere everything is deranged and out of order : undulating coronaa, which, instead of helping the discharge of the water, retain it; delicate mouldings under great weights; mouldings of a strange and new form; breaks only in the architrave of the entablature; prominences, contortions, and every kind of absurdity. There appears, nevertheless, in this building a something harmonious and handsome, but better adapted (as Bernini said) to a country-house or villa, than to the second edifice of a city. The flat arch of the oratory is rather wonderful, being of a much larger size than that of Santa Martina, made by Cortona. Though it supports above it the weight of the great library, the wall of one of its larger sides is not flanked with counterforts, but stands insulated, fronting the street. The habitation of these fathers of the oratory, is one of the best buildings of Borromini, yet it is not without its whimsicalities, in the portieos and loggias of the Cloisters, supported by a single Composite pilaster : the tower of the clock is likewise mixtilinear. The best work of Borromini, is the front of St. Agnes, in the Piazza N avona. The king of Spain, wishing to modernize and enlarge his palace at Rome, Borromini was commissioned to do it ; for which purpose he made a drawing, and though it was never executed, it gave such satisfaction, that the monarch honoured the author with the cross of St; James, and made him a present of 1000 dollars. Pope Urban VIII. likewise created him knight of Christ, gave him 3000 dollars, and settled an annual pension on him. Part of the palace Barberini ; the whole of the monastery and church of the Madonna de’ Sette Dolori, at the foot of San Pietro Montorio ; and the palace of Rufina, at Frescati, were built by this architect ; he also modernized the palace Falconnier, and embellished that of Spada. Besides these, he executed many other works, and sent to various countries designs of buildings, which produced him fame and riches. Borromini was one of the first men of his age for the elevation of his genius, and one of the last for the ridiculous use he made of it. The frenzy which he had displayed in scientific pursuits, extended, as he advanced in years, to moral objects; and he at length died, a lunatic, by his own hands, in 1667. BOSS, a projecting ornament placed on the intersections of groins, usually carved in the form of a leaf or other orna- mental foliage, or, in the later periods of Gothic architec- ture, richly sculptured with armorial bearings. Bosses were employed in vaulting not for mere ornament, but formed an )1 essential feature in the construction, as they tended by their weight to retain the voussoirs in their respective positions, and to confine the arches, so as to counteract any tendency to upward motion; they formed, in fact, the key-stones of the vault, binding the whole work firmly together.—Bosses are used in other situations as ornaments to mouldings, 8m. BOSS, among bricklayers, a wooden vessel in which the labourers put the mortar to be used in tiling. It has an iron hook, with which it is hung on the laths or on a ladder. BOSSAGE, the projection of stones laid rough in a build- ing, to be afterwards carved into mouldings or ornaments. Bossages are also projecting rustic quoins in a building, with indentures or channels at the joints. The channels are some- times square, sometimes chamfered, or beveled, and sometimes circular. . BOULANGER, NICHOLAS ANTHONY, an architect, born at Paris, 1722, and died in 1759, aged thirty-seven. He became so eminent in architecture and mathematics, though entirely of his own study, that he was made engineer to the baron of Thiers, and afterwards appointed superintendent of the highways and bridges. He was author of some articles in the Encyclopedia, and several other works. BOULDER WALLS, are those built of round flints, or pebbles, laid in strong mortar, used where the sea has a beach cast up, or where there are plenty of flints. BOUND MASONRY. See STONE WALLS. BOUNDARY COLUMN. See COLUMN. BOW, a part of some buildings projecting forward from the face of the wall, and raised from a plan generally on the arc of a circle, so as to form the segment of a cylinder. It is sometimes, however, raised from a plan consisting of three sides, two external obtuse angles, formed by each two conti- guous sides, and two internal obtuse angles, formed by the wall and the sides which adjoin thereto. A bow, raised from a polygonal plan, with three, four, or five vertical sides ; or a prism, so disposed, is termed a canted, or polygonal bow. In some buildings the bow is carried to the whole height, in others, only to one or two stories. BOW, among draughtsmen, denotes a beam of wood or brass, with three long screws that direct a lath Of wood or steel to an arch, used in drawing flat arches, or in pro— jections of the sphere. BOVV—W’INDOVV, a window projecting from the general face of a building on a curvilinear plan, and rising from the ground or basement. See BAY and ORIEL WINDOWS. BOX, in its most general acceptation, denotes a case for holding anything. BOX OF A BIB-SAW, two thin iron plates fixed to a handle. In one of the iron plates is an opening to receive a wedge, by which it is fixed to the saw. Box FOR MITERING. See MITRE-Box. BOX OF A THEATRE, one of the compartments of a gallery. BOXINGS OF A WINDOW, are the two cases, one on each side of the window, into which each of the adjacent shutters is folded, when light is required in the room. The leaves which appear in the front Of each boxing, are denominated front shutters; and those in the back, are called back flaps. In order to estimate the breadth of flaps, and the depth of boxing-room; suppose each boxing to be filled with the shutters which are to cover half the breadth of the opening: add the thicknesses of all the folds together, with as many one-sixteenths of an inch as there are breadths, and the sum is the depth of the boxing. Thus, suppose a window to be four feet wide, placed in a brick wall eighteen inches thick, let the sash-frame be six inches thick, and placed four inches and a half from the face of the wall, or the breadth of a brick; this will reduce the wall to seven inches and a half BRA 42 thick; to this add the necessary thickness for lath and plaster, about two inches, gives nine inches and a half for the breadth of the shutter: nine inches and a half will be contained in twenty-four inches, or the half of four feet, twice, with a remainder; therefore there must be three leaves or folds in a shutter, viz., a front leaf, and two back flaps. The front leaf should be necessarily the whole breadth of ‘ the boxing, or nine inches and a half; and the two back flaps between them, the remainder between nine inches and a half and twenty-four inches, that is, fourteen inches and a half. The back flap should always be the least, in order that the shutters may go freely into the boxing ; the middle one, therefore, may be eight inches, and the back one six inches and a half, for 9%+8+6—1—= 24; but if the flaps are rebate'd into one another, which is most commonly the case, whatever be the breadth of the rebate and the number of them, then so much more ought to be added to the whole breadth. In the present example, the three folds will require two rebates; let each rebate be a quarter of an inch, then, instead of reckoning twenty-four, it must be twenty-four inches and a half, and as no alteration can be made on the front flap, it must be added to one of the back flaps; the three flaps may therefore stand thus, 9%+8;1§+6§:24%. Besides this allowance in breadth, there is another for the rebate at the meeting in the middle of the window of the two back flaps; if this rebate be a quarter of an inch also, it may be added to the shutters on either side of the window, or it may be divided in any pro- portion between: let it be equally divided, then the breadth of the flaps may stand thus, 9%+8%+6§:24g. To find the thickness, suppose the front flap to be one inch and a half, the two back flaps each one inch and a quarter, then l§+ Uf-l- 1%+—,35:4T35, for the depth of the boxing-room. If there is a back-lining, that must be taken also into the account. When shutters are in many folds, they are troublesome to shut, and this must always be the case in thin walls, or with wide windows. To remedy this, the architraves are either made to project considerably before the plaster, or the lath and plaster are brought to a considerable distance from the rough wall. BOYLE, RICHARD, Earl of Burlington. Never was pro- tection and great wealth more generously and more judici- ously diffused than by this great person, who had every quality of a genius and an artist, except envy. He spent great sums in contributing to public works, and was known to choose, that the expense should fall upon himself, rather than that his country should be deprived of some beautiful edifices. His enthusiasm for the works of Inigo Jones was so active, that he repaired the church of Covent-Garden, because it was the production of that great master. With the same zeal for pure architecture, he assisted Kent in publish- ing the designs for Whitehall, and gave a beautiful edition of the Public Baths, from the drawings of Palladio, whose papers he procured with great cost. Besides the works on his own estate at Lonsborough, in Yorkshire, he new-fronted his house in Piccadilly, built by his father, and added the grand colonnade within the court. The other works designed by Lord Burlington, were the dormitory of \Vestminster school; the Assembly-Room, at York; Lord Harrington’s at Petersham; the Duke of Richmond’s house at \Vhitehall; and General \Vade’s in Cork street. BRACE. See TRUSS, and ANGLE-BRACES. BRACKET, a small support fixed against a wall to sustain anything. Brackets are composed out of various materials— wood, stone, metal, &c., and may be made susceptible of any ornamentation. BRACKET FOR SIIELVES. When the shelves are broad, the brackets are small trusses, consisting of a vertical piece, a horizontal piece, and a strut; but when the shelves are small, the brackets are solid pieces of boards, most commonly with an ogee figure on their outer side. BRACKETS in Gothic architecture are usually of very ele- gant design, and are mostly sculptured to represent angels, heads, foliage, and many other beautiful devices. They are. used to support statues under niches, pillars which have their bases at a height above the ground, and for various other purposes. BRACKETS FOR STAIRS, are sometimes used under the ends of wooden steps, next to the well-hole, by way of ornament, for they have only the appearance of support. BRACKETING, a diSposition of small pieces of board. equidistantly placed in the angles formed by the ceiling and the walls of an apartment, with their planes at right angles to the common intersection, so as to be partly upon the ceil- ing and partly upon the walls; their faces or edges being so arranged, as to touch any level line that is everywhere equally distant from the wall or walls which may form the perimeter or circumference of the apartment. The level line equi- distant from, or parallel to the walls, will either be a straight line or a curve, according as the walls are carried upwards from a straight or circular plan. Bracketing is necessary in supporting the lath and plaster of cornices and coves. The edges of the brackets to which the lath is fixed, are so formed as to be as nearly equidistant from the surface of the intended cornice or cove as possible, and may be placed about an inch within the said surface. Their common distance from middle to middle may be about a foot or fourteen inches. Small cornices require no brackets ; but in large cornices, and particularly in coves, they are indispensably necessary, to save the plaster. In apartments formed by walls with plain surfaces, besides the brackets which are arranged at right angles to the lines of concourse of the ceilings and the walls, there are other brackets placed, one in each angle, in a vertical plane, bisecting the angle‘ formed by each two adjacent sides of the room, at the mitre of the cornice, denominated angle-brackets. Let Fig. 1 be the plan of the end of a room, the internal side being A B C D E F G H, and let there be a break, 0 D E r,- as the breast ofa chimney. Let Fig. 2 be part of the plan enlarged, showing an internal angle at C, and an external angle at D: let N O P Q represent the face of the rough wall, and B C D E the finish of the plaster; then the space between N 0 and B C, 0 P and C D, P Q and D E will be the space for the battening, lath, and plaster. Let Fig. 3 be a section of the cornice, intended to be run by the plasterer, and let the shadowed part be the form of the common brackets: let I K, I K, &c., Fig. 2, be the projections or seats of the common brackets, each equal to A B, Fig. 3, and let L 0 and M P be the seats of the angle-brackets; L 0 being that of the internal bracket, and M P that of the external bracket. Besides the projection beyond the finishing surface of the plaster, there must be added the thickness of the battening, lath, and plaster. As the lath terminates upon the angle-brackets, and as they require to be ranged in the same surface with the edges of the common brackets, they are here made double, or in two thicknesses. Let it now be required to find the form of the brackets, either for mouldings, as Fig. 3, or for a cove: make A B, Figs. 4 and 5, equal to the projection ofthe common bracket: draw B b perpendicular and equal to A n, and join A I): place or draw the form of the bracket with the ceiling edge of it upon AB: take any number of points, G, H, I, K, &c., in the ranging edge of the bracket, at the concourse of every two lines, or in the curve, and draw G A, II C, I D, K E, &c., perpendicular to A B: produce H C. I n, K E, &c., to meet A b in c, d, e, &c., draw Ag, c h, d i, e k, &C. \ ERAQKE'TEE'G . -- _ , PIATE 1., . .Fz’g. .Z. BRA BRA perpendicular to A b, and make .A_g, c h, d.i’ ek, See, each equal to A G, o H, D I, E K, &c., and jom the pomts g,h, 2, k,.&c. if the ranging edge of the common bracket is made of straight lines; or draw a curve if the common bracket is a cove: then will A g, h, i, k, 8:0. to b, be the form of the angular bracket, whether for the external or internal angle, and g, h, i, k, &c., the ranging edge 3. the parts G H and g It are supposed to be within the finished surface of the‘plaster. Fig. 6 shows the bracket for an acute angle, and Fig. 7 for an obtuse angle; but except the. quantity of the angle, the method of finding the forms is exactly the same as in Figs. 4 and 5. The common bracket of Figs. 4, 5, and 7, is laid down upon the ceiling line; but that of Fig. 6 is laid down upon the base line. In the common brackets of Figs. 5 and 6, the projections and heights are equal; but in Fig. 7, the height B C is greater than the projection A B: the shadowed parts of Figs. 6 and 7 represent the thickness of the batten- ing, lath, and plaster. Figs. 8, 9, 10, 11, show the ranging both for external and internal angles. See RANGING. BRACKETING, for lath and plaster, is variously named according to the figure of the ceiling which it sustains; as groin-bracketing, spandrel—bracketing, &c. In all cases the brackets are so disposed, that their edges will be parallel to the surface of the plaster when finished: the distance between the edges of the brackets and the surface of the plaster, is, in general, about three-fourths or seven-eighths of an inch, which includes the space for battening, lath, and plaster. See Cove, DOME, Gnom, PENDENTIVE, SPANDREL, SPHERICAL, and SPHEROIDAL BRACKETING. BRADS, in joinery, are slender nails without spreading heads, except a projection from one of their narrow sides. The intention is to drive them within the surface of the wood, by means of a hammer and punch, and fill the cavity to the sur- face with putty, and thus conceal them entirely. There are several kinds of them, as joiners’ brads, flooring brads, &c. BRAMANTE, LAZZARI, D'URBINO, a celebrated archi- tect, born at Caste] Durante, (or, according to some accounts, at Femagnano,) in the province of Urbino, about the year 1444. The family of which he was a branch, was poor, though respectable, by whom he was designed for a painter: his early years were spent in the study of this art, but his taste and talents for architecture outran every other con- sideration, till at length he devoted himself altogether to it. He travelled first in Lombardy, and having made some observations on the cathedral of Milan, he went to Rome, where he executed some paintings for the church of St. John de Later-an, which are now lost. His great care was to examine and measure all the precious remains of antiquity, both within and out of Rome: be measured all that he could of the Villa Adriana, at Tivoli; and in pursuit of similar objects, went even so far as Naples. This devotedness to his favourite science attracted the notice of many patrons of the fine arts, and among the rest, of Cardinal Oliviero Caratfii, who employed him to rebuild the convent della Puce, at Naples, which established his reputation. The work itself is not of the most exquisite character, but it procured him the title of architect to his holiness Pope Alexander VI., there being at that time no artists of superior talents in the papal dominions. The foun- tain of Trastevere, and another fountain, which formerly stood in the square before St. Peter’s, were of his workman- ship. He also had a considerable share in building the palace della. Cancellaria, the church of San Lorenzo Damaso, and the palace of San Giacomo Scosciacavalli; all these, as Well as the convent della-Puce, above noticed, are built. in travertine, on the outside; but their meagre style is a striking evidence that in the days of Bramante architecture was only reviving, and was not completely purged from barbarous intermixtures. In such an age the genius of Bramante could not but shine, and be retained his lustre, as being without an equal in invention, as well as in execution, till, towards the decline of his life, the superior powers of Michael Angelo Bonarrotti bore away the palm of science, and the voice of public applause. See BONARROTTI. When Julius II. obtained the papal chair, he appointed Bramante superintendent of his buildings, and employed him to execute his grand project of uniting the Belvedere to the palace of the Vatican, by means of a magnificent court. In his turn, Bramante engaged the pope in the favourite design of pulling down the church of St. Peter’s, and erecting a new basilica, after the model of the Pantheon, on a scale that should astonish the world. With this View, he made many drawings, and used great diligence to produce one having two steeples with the front between them, as may be seen on the medals struck by Corodasso, in honour of Bramante and his patrons Julius II. and Leo X. The plan was that of a Latin cross, and was well constructed, though of an un- equalled magnitude. Three naves were formed by means of colonnades; the principal nave of very fair proportions, and the whole productive of the finest effect. The cupola had the same dimensions with that of the Pantheon ; the external steps were also similar. Indeed the plan of the whole basilica bore a strong resemblance to the Pantheon, having eight piers, between each two of which were two columns, forming three openings, or passages. This design being approved of by the pope, part of the old church was pulled down, and the foundation of the new structure laid, in the year 1506. The building was carried on with great celerity as high as the entablature, the arches over the four great piers were turned, and the principal chapel, opposite the door, was erected, when death put an end to his labours, in 1514, in his 70th year. The continuation of this work was given to Michael Angelo Bonarrotti, who also did not live to see it completed. Bramante’s successors made so many alterations upon his original design, that scarcely anything besides the four great arches over the tribune can be said to be his. His remains were interred in St. Peter’s, and the solemnity was honoured by the presence of the papal court, and all the professors of the fine arts in Rome and its neigh- bourhood. Besides the works above described, Bramante constructed a whimsical staircase, with the three orders of architecture, in the Vatican. The elegant circular temple in the cloister of San Pietro Monterio,'though esteemed as one of his best» performances, has many defects; for instance, the doorWay cuts into two pilasters; the balustrade is a continued series of balusters without pedestals; and the ornament at the top of the cupola is clumsy and heavy. Out of the walls of Todi, Bramante built an insulated temple, encrusted on the exterior with white stone; the plan is that ofa Greek cross, with a fine cupola in the centre; and the whole has an air of being the model of St. Peter's. In finishing the chapel within the basilica, be revived the use of the ancient stuccos. He made many designs of palaces and temples, both within and without the walls of Rome, and began the palace, which was afterwards finished by Raffaello, with columns of brick covered with plaster, then a new invention; but this edifice was destroyed to make room for the colonnade of St. Peter’s; and the palace which he began for the Duchess Eleonora Gonzaga, wife of Francis Duke of Urban, was never completed, owing to the deaths of both duke and duchess. BRANCHES, are the diagonal ribs of a Gothic vault, rising upwards from the tops of the pillars to the apex, and seeming to support the ceiling or vault. BRE BRI BRANDRITH, or BRANDRETTE, a fence round the mouth of a well. BRASSES, sepulchral engravings on large or small brass plates, let into slabs in the pavement of our ancient churches, portraying the efligies of illustrious personages, with the accompaniments of buildings, 8:0. The greater part of the efligies are as large as life. The various colours for the dresses, armours, and coats of arms, in many instances, were laid on in enamel, the attitudes well drawn, and the lines both of dresses and architecture made out with precision and truth of imitation. BREADTH, the greatest extension of a body at right angles to the length. BREAK, a projecting part of the front of a building, carried up through one or more stories in a vertical surface. In its general acceptation, it implies only a part, which stands forward in a plane parallel to the other parts of the front behind the break ; or a cylindric wall concentric with a receding one, and in this it comprehends not only the parallel projecting face, but the two flank parts which join the parallel walls. The break therefore forms, with the receding part or parts, two external and two internal angles. The term is, however, not restricted to this disposition of the planes, or cylindric faces of the building, it may also imply a bow, whether cylindric or canted. N0 break can be formed unless it have at least one internal angle, or, if the building adjoin on both sides, there will be at least two internal angles. Small breaks, or those projecting only a few inches, never add to the effect of the building. A building may have either one, two, or several breaks in a front. When the disposition of the rooms naturally falls into same plane on the inside of the front wall, no break should be admitted, because, in this case, it can only project a few inches. Breaks only fritter away the parts of a small building, and destroy the beauty and elegance which arises from the simplicity of its figure; but in large buildings they give the utmost splendour to the design, provided they have bold projections, and appear as distinct parts of the building, so that if the other connecting parts be supposed to be taken away, they would be so many insulated buildings, insisting each upon a simple rectangular plan. The greatest effect would, therefore, be produced by giving each part or break its separate roof, termination, or covering. For this reason, breaks should either be left lower, or carried higher than the main body, or the connecting part or parts of the building. When a break is carried higher than the connecting part or parts, it must have an entire roof, or uniform termination all round its four walls. ' In the ancient architecture of Greece, the walls insisted upon simple rectangular plans, and therefore had no internal angles, and consequently no breaks. The Romans indulged in buildings consisting of greater variety of parts than the Greeks, and formed many of their principal edifices with breaks. When the upper part of a front wall is intended to be one continued plane, with a break or breaks in the lower part or story, the superior continued wall, may either be supported upon a row of columns arched above the intervals in long apartments, or with one arch, when the front horizontal dimension is small, and finished as above. Breaks in cylindric walls destroy the harmony arising from the continuity of the figure, and should therefore be rejected in every round edifice. BREAK-IN, among carpenters, is to cut or break a hole in brickwork with the ripping chisel, for the purpose of insert- ing timber, as to receive plugs, or the end of a beam, or other piece of timber. BREAK-JOINT, in masonry or brick-work, is when two stones are placed contiguous to each other, with a. third stone laid across the joint, so as to cover a part or the whole of the surface of both stones, in order to bind the work together. BREAST OF A CHIMNEY. See CHIMNEY. BREAST OF A WINDOW, the masonry or brick-work which forms the back of the recess and the parapet, for leaning upon, under the window-sill. BREAST WALL, a retaining wall at the foot of a slope. BRESSUMMER, or BREAST SUMMER, in building, a lintel-beam in the exterior walls, supported by wooden or iron posts, or by brick or stone pillars, for sustaining the superincumbent part of the wall. Bressummers are used in the construction of shops, where it is necessary to have the win- dow as large as possible, and consequently the pillars as small as possible, in order to give light, and show articles for sale to advantage. Where breast-summers are used for this purpose, the superincumbent mass should be strengthened by an arch of discharge or otherwise, for, if not so, they will be found of great injury to the building through the shrinkage of the timber. Where this precaution is not attended to, it almost invariably occurs that the brick-work above is fractured in its settlement, and in some cases to a very considerable extent. Cast—iron beams are occasionally used for breast-summers, but although they have an advantage in not. being liable to rot, and are naturally incombustible, yet they are by no means eligible for the purpose. Cast-iron should never be subjected to cross strain, as, although it may bear a certain weight with safety, the least addition or disturbance will cause it to break. In cases of fire, cast-iron is much less secure than wood, for it soon becomes red-hot, and in this state, upon the slightest contact with water, will snap asunder; whereas tim- bers, if of sufficient scantling, are seldom entirely consumed, usually only charred on their exposed surfaces. Bressummers were a necessary part in the construction of old timber buildings, where it was requisite to have them not only for binding the building together, but for the sup— port of every floor, and also of the roof. They were likewise ‘ placed at the bottom of the building as a foundation to the whole structure, and called sills. See SUMMER. BRICK, an artificial kind of stone, composed in general of earth and sand, or coal Cinders, 0r ashes, well mixed toge- ther, and tempered with water, then dried in the sun, and finally burned to a proper degree of hardness in a kiln, or in a heap or stack, denominated a clamp. The antiquity of bricks seems to be coeval with the first edifices after the Deluge; the tower and city of Babel being built of them; as also most of the early structures of Egypt. The Greeks chiefly used three kinds of bricks: the first sort was called AtEwpov, bricks of two palms; the second Terpadopov, (3f four palms; the third Hevradopm', affine palms. Besides these, they also had bricks of just half the above dimensions, used for making their work more solid, and for giving an agreeable diversity to its appearance. The Romans began to build with bricks towards the decline of the republic : according to Pliny, those most in use were a foot and a half long, and a foot broad ; which agrees with the dimensions of several Roman bricks found in England, viz. seventeen inches in length, by eleven in breadth, of our measure. Sir Ilenry \Valton speaks of some bricks at Venice, of which stately columns were built: they were first formed in a circular mould, and cut, prior to their being burned, into four or more sections; afterwards, in layingr they were jointed so closely and exactly, that the pillars had the appearance of being composed of one entire piece. BRI 45 RBI For the purposes of building, bricks claim a decided superiority over stone, not only as belng lighter, and more eaSily worked ; but also because their porous texture facili- tates their union with the mortar, and makes them less liable to attract or retain damp and moisture, . In England, the mould in which bricks are formed, 13 ten inches in length, by five in breadth: the bricks when burned are about nine inches long, four inches and a half broad, and two inches and a half thick. The degree of shrinkage, how- ever, is various, according to the purity andtemper of the clay, and the intensity of the heat to which 11: 1s exposed in the burning. The earth selected for brick-making should be of the purest kind ; though indeed bricks may be made of any kind of earth that is free from stones, and even of sea-ooze ; but it is not every soil that will burn red, which is a property peculiar to earths containing ferruginous particles. In this country, bricks are chiefly made either of stiff clay, or of a hazelly-yellowish-coloured fat earth, commonly called loam. The former produces hard red bricks, incapable of rubbing or cutting ; the latter is mostly found near London, and gives a neat gray-coloured brick, which yields freely to the axe and rubbing-stone, though equally durable with the harder red brick made in more distant parts. The earth, of what- ever quality, should be dug in the autumn, and suffered to remain in a heap till the next spring, that it may be well penetrated by the air, and particularly by the winter’s frc-sts, which by pulverizing the more tenacious particles, greatly assist the operations of mixing and tempering. Indeed, for the best bricks, two or three years will not be found too long to submit the earth to the action of the atmosphere, in order to render it free in the working. In making up this heap for the season, the soil and ashes or sand are to be laid in alternate layers or strata ; each stratum containing such a quantity as the stiffness of the soil may admit or require. For making such bricks as will stand the fiercest fires, Sturbridge clay and Windsor loam are esteemed the best. In tempering the earth, much judgment is required as to the quantity of sand to be thrown into the mass, for too much renders the bricks heavy and brittle, and too little leaves them liable to shrink and crack in the burning. The London practice of mixing sea-coal ashes, and in the country of adding light sandy earth to the loam, not only makes it work easy and with greater expedition, but tends also to save fuel. With reference to the proportion which should be observed in mixing the different ingredients, it is impossible to lay down any fixed rules, as such proportion must entirely depend upon the particular quality of the materials employed. The principal of these consist of clay, marl, and loam, with the admixture of sand, chalk, breeze, &c. IVe shall here give the particular uses to which the accessories are applied, but must leave it entirely to individual instances to determine in what manner each of them must be made use of. The clay of course is the principal matter, and forms the body of the brick, but before this can be made available for building, it has to be agglutinated together by means of sand vitrified by heat. Clay is composed for the most part of alumina and silica combined with a small quantity of lime, and occa- sionally of magnesia and alkali. Usually speaking, clay requires additional sand to be used as a flux, but it happens sometimes to contain sufficient in itself; when this is the case, no addition of course will be required. If the silica be in excess, it will on the contrary require the addition of some dry substance to hold the mass together, as otherwise the silica will fuse and run when under the action of great heat; for this purpose the chalk is used: if, however, too much be added, the bricks will become porous and friable. N The heat, as above stated, is produced by means of the breeze, but the quantity of this also must be regulated according to the nature of the clay you have to use ; if it contains a large quantity of sand, less breeze will be required, not only to prevent the silica from running, but also because silica con« tains a large portion of oxygen; should, however, the clay contain a free proportion of lime, more breeze will be required, for the reason that lime has but little oxygen in its compo- sition. Thus it will be seen how impracticable it is to lay down any general rule in this case ; the proportion of each ingredient to be added, can only be determined by careful observations in individual instances. 1 Every stony particle should be carefully cleared out of the earth, before the workman begins his operation of tempering; it should then be well trodden or beat, and frequently turned over, with the addition of as little water as possible, till the soil and ashes, or sand, are so completely incorporated as to form a paste of a tough viscous substance. If in this operation too much water be used, the paste will become almost as dry and brittle as the soil of which itis composed ; but by a judicious management, as to the quantity of water, and the mode of administering it, the bricks become smooth, solid, and durable. For the preparation or tempering of the soil, the workman is provided with a long hoe, in form like a mattock, a shovel, and a scoop. The hoe is for pulling down the soil from the great heap, which is then chopped backwards with the shovel, in order to turn it as often as may be necessary, and to incorporate the ashes, or sand, and soil, thoroughly together. The use of the scoop is for throwing water over the portion so pulled down with the hoe, to bring it to a more ductile state, and render it easier for tempering. IVhen the mass is sufficiently mixed, it is removed in barrows to the pugmill. This mill consists principally of a strong barrel, firmly fixed on two transverse beams, having in its centre a vertical bar, kept in position by two shoulders attached to the sides of the barrel, and working on the transverse beams at their inter- section as on a pivot. On the top of this bar is placed a horizontal beam, by means of perpendiculars suspended from which, the horse is attached. On that part of the bar which is within the barrel, is fixed several iron knives, by the revolution of which the masticated clay is forced through a hole in the bottom of the barrel, when it is cut off in pieces with a -" cuck—hold,” or concave shovel, and laid on one side. A quantity of sand is then thrown over it, and it is kept for use under a covering of sacking or matting, to preserve it from the sun and air. The moulding-table is placed under a movable shed, and is strewed with dry sand. A boy, with the cuck-hold, cuts off as much. as he can carry in his arms, from the prepared mass, and brings it to the table, where a girl receives it, and rolls out a lump rather larger than the mould will contain. The moulder receives this lump from the girl, throws it into his mould, previously dipped in dry sand, and with a flat smooth stick, about eight inches long, kept for the purpose in a pan of water, strikes off the overplus of the soil: he then turns the brick out of the mould upon a thin board, rather larger than the brick, upon which it is removed by a boy, and placed on a light barrow, having a lattice-work frame raised about three feet above the wheel, and about eighteen inches at the handles, forming an inclined plane. On this lattice-frame the new-made bricks are laid, and sand is thrown over them, to prevent their sticking to each other, as well as to preserve them in a certain degree from cracking in drying on the hacks. The hacks for drying, are each wide enough for two bricks to be placed edgcways across, with a passage between the heads, for the admission of air, to BRI 40 BR! facilitate the circulation of which, the bricks are generally laid in a diagonal direction. The hacks are usually carried eight bricks high; the bottom bricks at the ends are com- monly old ones. ‘ In showery weather, the bricks on the hacks are to be carefully covered with wheat or rye straw, to keep them dry; unless sheds or roofs be erected over the hacks, as is done in some country places; but in London this is impracticable, from the very great extent of the grounds. In fine weather the bricks will be dry enough for turning, in a few days; in doing which they are reset more open than at first; and in six or eight days more they will be ready for burning. The best bricks, that is, those made of the best materials, and well tempered, as they are harder and more ponderous, so they require half as much more earth, and longer time for drying and burning, than the common sort, which are light, spongy, and full of cracks. The well drying of bricks before they are burned, prevents their cracking and crumbling in the kiln or clamp. In the vicinity of London, bricks are commonly burned in clamps ; farther in the country, it is the custom to burn them in kilns. In building the clamps, the bricks are laid after the manner of arches in the kilns, with a vacancy between every two bricks, for the fire to play through ; yet with this difference, that instead of arching, the vacuity for the fuel is spanned over, by making the layers project one over the other from each side, till they meet at top. The flue is about the width of a brick, carried up straight on both sides about three feet; it is then nearly filled with dry bavins, or wood, on which is laid a covering of sea-coal and Cinders (or breeze, as they are called); the arch is then overspanned, and layers of breeze are strewed over the clamp, as well as between the rows of bricks. When the clamp is about the width of six feet, another flue is made, in every respect similar to the first: this is repeated at every distance of six feet, throughout the whole clamp, which when completed, is surrounded with old bricks, if there be any on the grounds, if not, with some of the driest unbaked ones, that have been reserved for the purpose. On the top of all, a thick layer of breeze is laid. The wood is then kindled, which gives fire to the coal; and when all is consumed, which will be in about twenty or thirty days if the weather be tolerable, the bricks are concluded to be sufficiently burned. Should there be no immediate hurry for the bricks, the flues may be placed nine feet asunder, and the fuel left to burn slowly. If the fire in the clamp burns well, the mouths of the fines are stopped with old bricks, plastered over with clay. The outside of the whole clamp is also plastered with clay, if the weather be precarious, or if the fire burn too furiously; and against any side particularly exposed to the rain, &0. screens are laid, made of reeds, worked into frames about six feet; high, and sufficiently wide to be moved about with ease. This is the ordinary method of manufacturing common gray-stocks. But washed malms, or marls, are made with still _ greater attention. A circular recess is built, about four feet high, and from ten to twelve feet in diameter, paved at the bottom, with a horse-wheel placed in its centre, from which a beam extends to the outside, for the horse to turn it by. The earth is then raised to a level with the top of the recess, on which a platform is laid, for the horse to walk upon. This mill is always placed as near a well or spring as possible, and a pump is set up, to supply it with water. A harrow, made to fit the interior of the recess, thick-set with long iron teeth, and well loaded, is chained to the beam of the wheel, to which the horse is harnessed. Previously to putting the machine in motion, the soil, as prepared in the heap in the ordinary manner, is brought in barrows, and distributed regularly round the recess, with the addition of a sufficient quantity of water; the horse then moves on, and drags the harrow, which forces its way into the soil, admits the water into it, and by tearing and separating its particles, not only mixes the ingre- dients, but also affords an opportunity for stones and other heavy substances to fall to the bottom. Fresh soil and water continue to be added till the recess is full. On one side of the recess, and as near to it as possible, a hollow square is prepared, about 18 inches or two feet deep. The soil being sufficiently harrowed and purified, and reduced to a kind of liquid paste, is ladled out of the recess, and by means of wooden troughs conveyed into this square pit; care being taken to leave the sediment behind, which is afterwards to be cleared out and thrown on the sides of the recess. The fluid soil diffuses itself over the hollow square, or pit, where it settles of an equal thickness, and remains till wanted for use, the superfluous water being either drained away or evaporated, by exposure to the atmosphere. \Vhen one of these square pits is full, another is made by its side, and so on progressively, till as much soil is prepared as is likely to be wanted for the season. In the country, bricks are always burned in kilns, whereby much waste is prevented, less fuel consumed, and the bricks are more expeditiously burned. A kiln is usually thirteen feet long, by ten feet six inches wide, about twelve feet in height, and will burn 20,000 bricks at a time. The walls are about one foot two inches thick, and incline inward towards the top, so that the area of the upper part is not more than 114 square feet. The bricks are set on flat arches, having holes left between them resembling lattice-work. The bricks being set in the kiln, and covered with pieces of broken bricks or tiles, some wood is put in and kindled, to dry them gra- dually; this is continued till the bricks are pretty dry, which is known by the smoke turning from a darkish to a trans- parent colour. The burning then takes place, and is effected by putting in brushwood, furze, heath, faggots, &c., but before these are put in, the mouths of the kiln are stopped with pieces of brick, called sizinlog, piled one upon another, and closed over with wet brick earth. This shinlog is carried just high enough to leave room sufficient to thrust in a faggot at a time; the fire is then made up, and continued till the arches assume a whitish appearance, and the flames appear through the top of the kiln; upon which the fire is slackened, and the kiln cools by degrees. This process is continued, alter- nately heating and slackening, till the bricks are thoroughly burned, which is generally in the space of forty-eight hours. The practice of steeping bricks in water after they have been once burned, and then burning them again, renders them more than doubly durable—Gold/zam. Many attempts have been made to introduce machinery in the practice of brickmaking, but with little success, as is evi~ dent from the old practice continuing so generally in use. The most usual varieties of bricks consist of marls, stocks, and place-bricks, but there is very little difference in the manufacture. Maris are prepared and tempered with the greatest care; but the construction of the clamp for burning them is similar to that for other bricks, though more caution is required not to overheat them, and to see that the fire burn equally and ditfusively throughout the clamp or kiln The finest marls, calledflrsts, are selected as cutting bricks, for arches of doorways, windoi 's, and quoins; for which pur- pose they are rubbed to their proper dimensions and form. The next best, termed seconds, are used for principal fronts. The cleanly pale yellow colour of marls, added to their smooth texture and superior durability, give them a pre-eminence BRI ‘ 47 BRI above other sorts of bricks. Gray-stocks are somewhat like the seconds, but of an inferior quality. Place-bricks, some- times called peckings, sandal, or samel-bricks, are such as, from being outside in a kiln or clamp, have not been thoroughly burned, and are consequently soft, of a more uneven texture, and a red colour. There are also burrs, .or clinker-bricks, such as from being too violently acted upon by the fire, have vitrified in the kiln, and sometimes several are found run together. . Tied—stocks are made in the country, and burned in kilns. They owe their colour to the nature of the clay of which they are formed, which is always used tolerably pure. The best sort are used as cutting bricks, and are called red- rubbers. In old buildings they are frequently to be seen, ground to a fine smooth surface, and set in putty, instead of mortar, as ornaments over arches, windows, doorways, 8w. Though many very beautiful specimens of red brickwork are to be met with, yet these bricks can seldom be judiciously used for the front—walls of buildings. The colour is much too heavy, and in summer conveys an unpleasant idea of heat to the mind;-to which may be added, that as in the fronts of most buildings of any consequence, more or less of stone- work is introduced, there is something harsh in the contrast between the red bricks and the cold colour of the stones ; and even where no stone is employed, there is always some wood used, which being painted white, by no means lessens the objection. Gray-stocks match so much better with the colour both of stone and paint, that they have obtained a universal preference in London and its immediate Vicinity. At Hedgerly, a village near Windsor, red bricks, about one inch and a half thick, of a very firm texture, are made ; they will stand the greatest violence of fire, and are called Windsor bricks, and sometimes fire-bricks. Bricks for paving are of the same dimensions with Windsor bricks, viz., nine inches long, four inches and a half broad, and one inch and a half thick. Besides these, there are what are called paving-tiles, which are made of stronger clay, of a red colour. The largest are about twelve inches square, and one inch and a half thick; the next size, though called ten-inch tiles, are about nine inches square, and one inch and a quarter thick. See TILES. Besides the foregoing varieties, the following are worth notice, though some of them are not much in use: 1. The ordinary I’aris brick is eight inches long, four inches broad, and two inches thick, French measure, which makes them rather larger than ours. 2. Buttress, or plaster bricks, made with a notch at one end, half the length of the brick; used for binding work built with great bricks. 3. Capping bricks, used for the purpose which their name denotes. 4. Great bricks, used in fence walls, are twelve inches long, six inches broad, and_ three thick. 5. Cogging bricks, for making the indented works under the capping of walls built with great bricks. G. Compass bricks, of a circular form, for steyning wells. 7. Concave, or hollow bricks, made flat on one side, like an ordinary brick, and hollowed on the other side; used for drains and water-courses. 8. Buick, or Flemish bricks, used lll paving yards, stables, &c., also for lining soap-boilers, Cisterns, and vaults. 9. Feather-edged bricks, made of the same size with the ordinary statute bricks, but thinner on one edge than on the other: they are used for pinning up brick panels in timber buildings. BRICK-NOGGING, a wall constructed with a row of posts or quarters, disposed at three feet apart, and with brickwork, so as to fill up the intervals. This kind of walling is gene- rally eithcr the thickness or breadth of a brick, and the woodwork flush on both sides with the faces of the bricks. In brick-nogging, thin pieces of timber, reaching horizontally N. from post to post, are disposed so as to form the brickwork between every two posts or quarters, into several compart- ments in the height of the story; each piece being inserted between two courses of brick, with its edges flush with the faces of the wall. BRICK AND STUD. See BRICK-NOGGING. BRICK-KILN, a building erected in the form of the frustum of a cone, for the purpose of burning bricks. BRICKLAYER, a workman who builds with bricks. His business, in London, includes walling, tiling, and paving with bricks or tiles; some jobbing -masters also under- take plastering. Country bricklayers unite bricklaying, plastering, and not unfrequently masonry. The bricklayer’s materials are bricks, tiles, mortar, laths, nails, and tile-pins; with which he is supplied while at work by a labourer, who likewise makes the mortar. Bricklayers form a very numerous body of artisans in this country. A good workman can lay 1,500 bricks daily in walls. His wages in London are from five to six shillings a day. The immense demand for bricklayers Caused by the extensive works connected with railways, and the great increase of building operations in the last few years, have enabled good workmen to command almost any amount of wages. BRICKLAYERS, in London, are, by a charter granted in 1568, a corporate company, consisting of a master, two war- dens, twenty assistants, and seventy-eight on the livery. BRICKLAYING, BRICKVVORK, the art of building or erecting walls or edifices with bricks, cemented together with mortar, cement, 8:0. For the materials, &c., used in this business, see the articles BRICK, BRICKLAYER, MORTAR, TILES, CEMENT, &c. The first thing to be attended to, in bricklaying, is to dig trenches for the foundations, after which the ground must be tried with an iron crow, or rammer, to see that it is sound: if it appear to shake, it must be bored with a well-sinker’s tool, in order to ascertain Whether the shake be local or general. If the soil prove generally firm, the looser parts, if not very deep, may be dug up till a solid bed he got at, on which a pier or piers may be built, as hereafter described; if the ground he not very loose, it may be made good by ramming into it large stones, close packed together, or dry brick rubbish, of a breadth at the bottom proportioned to the intended insisting weight; but if the ground he very bad, it must be piled and planked, to ensure the safety of the structure. In building upon an inclined plane, or rising ground, the foundation ought to rise with the inclination of the ground, in a series of level steps, which will ensure a firm bed for the courses, and prevent them from sliding, as they would be apt to do if built on inclined planes ; and in wet seasons the moisture in the foundation would induce the inclined parts to descend towards the lowest parts, to the manifest danger of fracturing the walls, and destroying the building. \Vhen the ground proves loose to a great depth in places over which it is intended to make windows, doors, or other apertures, while the sides on which the piers must stand are firm, it is a good practice to turn inverted arches under such intended windows, 8w. Indeed this is a necessary precau- tion in all cases where the depth of wall below the aperture will admit of it. For the small base of the piers will more easily penetrate the ground, than one continued base; and as the piers may be permitted to descend, in a certain degree, so long as they can be kept from spreading, they will carry the arch with them, compressing the ground, and forcing it to reaction against the sides of the inverted arch, which if closely jointed, so far from yielding, will, with the abutting \ BRI piers, operate as a solid body. Whereas, if this expedient of inverted arches be not adopted, the low piece of wall under the aperture, not having a sufficient vertical dimension, will give way by the resistance of the ground upon its base, and not only fracture the brickwork between the apertures, but also the window-sills. Hence it is evident that these arches should be turned with the greatest exactness, and should be in height at least half their width. The parabolic curve will be found most effectual in resisting the reaction of the ground; it being the form most adapted to the laws of uniform pressure. The bed of the piers ought to be of equal solidity through- out ; for though the bottom of the trench may be firm enough, yet if there be any difference in substance, the settlement will be partial, the amount thereof varying according to the soft- ness of the ground; consequently the piers on the softer ground will settle more than those on the firmer, and occasion a ver- tical fracture in the superstructure. . Should the solid parts of the trench be found under the intended apertures, and the softer parts where piers are to be built, the reverse of the above practice must be resorted to, viz.: build piers on the firm ground, and suspend arches, not inverted, between them ; in performing which, attention must be paid to the insisting pier, whether it will cover the arch, or not; for if the middle of the pier rest over the middle of the summit of the arch, the narrower the pier is, the greater should be the curvature Of the arch at its apex. “rhen sus- pended arches are used, the intrados ought to be clear, that the arch may have its full effect. Here also, as before, the ground on which the piers are erected should be of equal firmness, lest the building be injured by an unequal settling, which is attended with much more mischievous consequences than where the ground, from being uniformly soft, permits the piers to descend equally, in which case the building is seldom or never damaged. When it is necessary to ram foundations, the stones, being previously chopped or hammer-dressed, so as to have them as little taper as possible, should be laid of a breadth propor- tioned to the weight intended to be rested on them, and rammed closely together with a heavy rammer. In ordinary cases, the lower bed of stones may project about a foot on each side of the wall, on which another course may be laid, so as to bring the upper bed of stones upon a general level with that of the trench, projecting about eight inches on either side of the wall, or receding four inches on each side within the lower course. Care should be taken that the joints of every upper course fall as nearly as possible upon the middle of the stones in the course innnediately beneath it; a principle also to be strictly adhered to in every kind of walling; for in all the modes, various as they are, of laying stones or bricks, the uniform object is to obtain the greatest lap one upon the other. The directions for preparing a solid foundation, refer to the general practice amongst builders before the introduction of concrete. The now almost universal use of the latter, as a certain, convenient, and ready means of obtaining a secure foundation, has rendered it necessary to give a description of the mode in which this material is generally used. The ground having been examined as described in the first part of this article, a sufficient depth must be excavated in the bottom of the trenches, to allow of throwing in a quan- tity of concrete, varying in breadth and depth, according to the size and character of the building to be erected, and the necessary width of the footings. The concrete is composed of different materials, and pro- portions of those materials, as the qualities of sand, lime, &c., are most conveniently obtained in the 10 ‘ality of the building. 48. BRI I 4 The concrete used in and near London is generally composed of Thames ballast and fresh-burned stone-lime, (ground to powder without slacking,) in the proportions of from one-fifth to one-ninth of lime to one of the ballast. These ingredients should be well blended together dry, and as small a quantity of water added as will bring them to the consistency of mor- tar; and then, after turning over the materials with the shovel once or twice, thrown as quickly as possible into the foundation, from a height of several feet. It sets very quickly, so that it is desirable that the mixture should be made at, or close to the height from which it is thrown, and then spread and brought to a level as expeditiously as pos- sible. See CONCRETE. Having premised thus much on foundations, we proceed to the Operation of walling; the first object in which is the due preparation of the cementing material. Mortar is most commonly used in modern brick buildings. It is composed of lime, gray or white, but gray or stone-lime is the better, mixed with river—sand, or road-sand, in the proportion of one of gray lime to two and a half of sand, and one of white or chalk-lime to two of sand. In slacking the lime, no more water should be used than is barely sufficient to reduce it to powder; and it should be covered with a layer of sand, in order to prevent the gas, wherein is the virtue of the lime, from flying Off. It is best to slack the lime in small quantities, about a bushel at a time, in order to secure its qualities in the mortar, which would evaporate were it to remain slacked any length of time before being used. See MORTAR. The mortar, when about to be used, should be beaten three or four times, and turned over with the beater, so as to incorporate the lime and sand, and break the knots that pass through the sieve: this not only renders the texture more uniform, but ‘by admitting the air into the body and pores of the mortar, makes it much stronger. Should the mortar stand any length of time after this Operation, without being used, it must be beaten again: it should be observed, that in these beatings very little water should be used; though in hot and dry weather the mortar may be kept considerably softer than in winter. . In dry weather, and for firm work, the best mortar must be used, and the bricks should be wettcd, or dipped in water as they are laid; but in damp weather, the latter precaution will be unnecessary. The wetting of the bricks causes them to adhere to the mortar, which they will never do if laid dry, and covered with sand or dust, as they may be removed with- out the adhesion of a single particle of the mortar. In laying the foundations of walls, the first courses are always laid broader than the wall intended to be carried up; these courses are called the footings, and the prqjections are called set-offs; there are generally two inches in each pro- jection. In working up the wall, not more than four or five feet of any part should be built at a time; for as all walls shrink immediately after building, the part which is first brought up will settle before the adjacent part is brought up to it; and the shrinking of the latter will consequently cause the two parts to separate. Unless it be to accommodate the carpenter, &c., no part of a wall should be carried higher than one scaffold, without having its contingent parts added to it. In carrying up any particular part, the ends should be regularly sloped off, so as to reCeive the bond of the adjoining parts, on the right and le it. In laying bricks, there are four kinds of BOND; vi)_'., English-bond, Flemish-bond, Herring-bond, and Garden- wall-bond. The two first are principally used in modern brickwork, the others only occasionally. BRI 49 BR! In English-bond, a row of bricks laid lengthwise on the length of the wall, is crossed by a row With its breadth-1n the said length, and so on alternately. The courses in which the lengths of the bricks are disposed through the length of the wall, are called stretching courses, and the bricks, stretchers: the courses in which the lengths of the bricks run in the thickness of the walls, are called heading courses, and the bricks, headers. The other sort of bond, called Flemish-bond, consists in placing a header and a stretcher alternately in the same course. See BOND, English, &c. When new walls are to be built into old it is usual to cut a chase, or draw a brick at every other course in the old work, and tooth in the new work. When it is intended to add walls to buildings, these toothings are left. The most difficult work for a bricklayer to execute is the groining or intersection of arches in vaults, where every brick has to be cut to a different bed. This and the arches called gauged arches, either circular or straight, require the neatest workmanship. Some straight arches are made roughly; that is, the bricks are inclined each‘ way, parallel to each other, on the respective skewbacks, or shoulders of the arch, until the Sofiit-ends of the bricks touch, when the vacant space at t0p is filled with two bricks, fo‘rming a wedge: this arch, like other straight arches, is constructed on a camber slip, or piece of wood slightly curved on the upper side for a centering. In steining wells, a centre must first be made, consisting of a boarding, of inch or inch-and-half stuff, ledged within with three circular rings, upon which the bricks are laid, all headers. The gaps between the bricks towards the boarding are to be filled in with tile or pieces of brick. As the well- sinker excavates the ground, the centre with its load of bricks sinks, and another, similarly charged, is laid upon it, another upon that, and so on, till the well is completed; the centering remaining permanently fixed with the brick-work. This is the method generally adopted in London, at least where the soil is sandy and loose; where it is firm, centerings are not requisite. In the country, among many other methods, the following most prevails: rings of timber, without the exterior boarding, are used; upon the first ring, four or five feet of bricks are laid, then a second ring, and so on. But this is far inferior to the mode above described, as the sides of the brick-work are apt to bilge in sinking, particularly if great care be not taken in filling and ramming the sides uniformly, so as to keep the pressure regular and equal. In steining wells, and in the construction of cesspools, a rod of brick-work will require at least 4,760 bricks. In winter, it is essential to preserve the unfinished wall, as much as possible, from the alternate effects of rain and frost, than which nothing is more destructive to a building; the rain by penetrating into the very heart of the bricks and mortar, and the frost by converting the water, so lodged, into ice, expanding its bulk, and bursting or crumbling the materials in which it is contained. The decay of buildings, Commonly attributed to the effects of time, is, in reality, occasioned by this operation and counter-operation of the rain and frost, but as, in finished edifices, they have only a verti- cal surface to act upon, their effects are not rapidly extended. In an unfinished wall, there is a horizontal surface, by which both rain and frost find an easy access into the body of the work; care must therefore be taken to exclude them, by a sufficient covering, as soon as the frost or stormy weather sets in, either of straw, which is most usually employed, or of weather—boarding, placed in the form of a stone coping, so as to throw off the water equally on either side: but in the latter case, it is advisable to have a good body of straw under the wood, as no precaution can he too great, for the security and strength of the work. 0 A variety of pleasing cornices and ornaments may be formed in brick-work, by the disposition of the bricks, fre- quently without cutting them, or, if cut, chamfering only may be used ; but a great defect is frequently to be observed in these ornaments, particularly in the bilging of the arches over windows. This arises from mere carelessness in rubbing the bricks too much oil“, on the inside; whereas, if due care were taken to rub them exact to the gauge on the inside, that they bear upon the front edges, their geometrical bearings being united, they would all tend to one centre, and produce a. well-proportioned and pleasing effect. A rod of brickwork was taken from the original standard of 16% feet square, and consequently the superficial rod con— tained 272.25 square feet, or 272% square feet; but as the quarter was found troublesome in calculation, 272 superficial feet was admitted as the standard for brickwork ; the result is the same in practice, when it is considered that equal values will be found by annexing the proportional price per rod to each; and indeed, if the same price be appropriated to each, the difference would be so trifling as not to be worth the trouble of calculating. The standard thickness of a brick wall is 1% brick in length, therefore if 272 square feet be mul- tiplied by 13% inches, the result is 306 cubic feet in the rod. A red of standard brickwork with mortar, will require 4,500 bricks at a medium, allowing for waste; this number will depend upon the closeness of the joints, and the size of the bricks. The mortar in a rod of brickwork will require 1% cwt. of chalk-lime, or 1 cwt. of stone-lime, and 2% loads of sand with stone-lime, or 2 loads with chalk-lime. In walling, a foot of reduced brickwork will require 17 bricks. A foot superficial of marl facing laid in Flemish bond, will require 8 bricks; and a foot superficial of gauged arches, 10 bricks. In paving, a yard will require 82 paving- bricks, or 48 stock-bricks, or 144 Dutch clinkers laid on edge, or 36 bricks laid flat. In tiling, 100 superficial feet make a square. A square will require, of plain tiles, 800 at a 6 inch gauge, 700 at a 7-inch gauge, or 600 at an 8—inch gauge. The distance of the laths will depend upon the pitch of the roof, and may require a 6, 7, or 8-inch gauge: thus, a kirb roof will require a gauge of 7% or 8 inches in the kirb part, and the upper part 6, 6%, or 7 inches, the distance being less as the angle of elevation is less. A square of plain tiling will require a bundle of laths, more or less according to the pitch, two bushels of lime and one of sand, and a peek of tile-pins at least. The laths are sold in bundles, which generally con- sist of 3, 4, and 5-fect lengths; the 3-feet are 8 score, the 4-feet 6 score, and the 5-feet 5 score to the bundle. The nails used in lathing, are fourpenny. They are purchased by the long hundred, viz., six score to each hundred, and charged by the bricklayer by the short hundred, viz., five score to the hundred. The rates of charge by the hundred are as their names imply, viz., fourpenny, fourpence per hundred; six- penny, Sixpence per hundred. The number of nails required to a bundle of five-feet laths are 500, and to a bundle of six- feet laths 600. A square of pan-tiling will require 180 tiles, laid at a 10-inch gauge, and a bundle of laths. The bundle consists of 12 laths, 10 feet long. In lime measure, 25 striked bushels, or 100 peeks, is a hundred of lime ; 8 gallons, or 2,150g cubic inches, is a bushel dry measure; and 268% cubic inches is a gallon. In sand measure, 24 heaped bushels, or 30 striked bushels, is a load, and 24 cubic feet weigh a ton. In mortar measure, 27 cubic feet make a load, which contains half a hundred of lime, with a proportional quantity of sand; 1,134 cubic inches make a hod, which is 9 inches by 9, and 14 inches long; 2 hods of mortar make a bushel nearly. I BRI 50 BRI A ton weight contains 2312- cubic feet of sand, 17% of clay, or 18 of earth, or 330 bricks. A. cubic foot. contains 951b. of sand, 1351b. of clay, or 1241b. of common earth, or 125 bricks. To measure trenches for fozmdations.—-All kinds of exca- vations of earth are measured by the number of cubic yards which they contain; therefore, to find the number of cubic yards in a trench, find the solidity of the trench in cubic feet, which divide by 27, the number of cubic feet in a yard, and the quotient, if any, is the answer in cubic yards, and the remainder, if any, shows cubic feet. Example—The length of a trench is 62 feet, the vertical depth 2 feet 6 inches, and the breadth 2 feet 9 inches. 62 9i 27) 4‘26 3 (15 yards 21 feet, the answer. 2 7 ——___ 156 135 —. 21 In the horizontal dimensions, if the trench is wider at the top than at the bottom, as is generally the case, and equal at the ends, take half the sum of the two dimensions for a mean breadth, and if the breadth of one end of the trench exceed that of the other, so as to have two mean breadths differing from each other, take half the sum of the two added together, as a mean breadth for the whole. Or, take a mean dimension in the middle of the length, and the middle of the height, and proceed as in the above operation. The footing of a wall is the projecting courses of brickwork under the wall, spread out to prevent it from sinking. To measure the footing of a u-all.——l\[nltiply the length and the height of the courses together, then multiply the product by the number of half bricks in the mean breadth : divide the last product by 3, and the quotient is the answer in reduced feet. The number of half bricks in the mean breadth will be found by adding the number of half bricks in each course together, and dividing the sum by the number of courses ; or take half the sum of the half bricks in the upper and lowermost courses : but if the» number of courses is odd, this trouble may be saved by taking the number of half bricks in the middle course for the mean breadth. Also, instead’of measuring the height of the footing, it is usual to allow three inches to each course in height; or multiply the number of courses by 3, which gives the height in inches. Example—The footing of a wall is 62 feet in length, and consists of 3 courses, the middle course of which consists of 3% bricks ; how many feet of reduced work are in the said footing ? G2 0 0 9 .—_.___ 46 6 7 number of half bricks in mean breadth. 3) 325 ii— 108 ft. 6 in. of reduced brickwork. Tofind the number of rods contained in a piece of brick- work. Rule I.—If the wall be at the standard thickness, divide the area of the wall by 272, and the quotient, if any, will be the answer in rods, and the remainder, if any, in feet : but if the wall be less or more than a brick and a half in thickness, multiply the area of the wall by the number of half bricks, that is, the number of half lengths of a brick ; divide the product by 3, and the wall will be reduced to the standard of 1% brick thick. Divide tne quotient by 272, and this quotient will give the number of rods required. Rule II.—-Divide the number of cubic feet contained in the wall by 306, and the quotient, if any, will show the number of rods, and the remainder, if any, the number of cubic feet. Rule III.—Multiply the number of cubic feet in the wall by 8 ; divide the product by 9, and the quotient will give the area of the wall at the standard: divide the standard area by 272, and this quotient, if any, will show the number of rods; the remainder, if any, is the reduced feet. The rea- son of this rule maybe thus shown : TAT =_1__=_1_ JX 212 9X 34 306 which is a divisor of a rod, without any regard to the standard. Example—The length of a wall is sixty-two feet, the height fifteen feet, and the breadth equal to the length of two bricks and a half: how many rods of brickwork are contained in the wall ? Operation by Rule I. 62 15 310 62 __ 930 5 number of half bricks. 3) 4650 272 ) 1550 ( 5 rods 190 feet, the answer. 1360 190 Operation by Rule II. 62 15 310 62 030 1 10 38 ‘J v-n... 1 IO 930 306 )1743 1530 C 0 ( 5 rods 213 feet, the answer. 213 Operation by Rule III. 62 15 310 62 930 1 10 6 38 9 0 775 930 1743 9 8 9) 13950 0 272 ) 1550 ( 5 rods 190 feet, the answer. 1860 190 BRI BRI In the calculation of brickwork, where there are several walls of different thicknesses, it will be quite unnecessary to use the divisors 3 and 272, as will be hereafter shown. In measuring walls within the districts to which the building act extends, it is customary to take the length of front walls within thebuilding, and the length of party walls from the front to the rear faces of the building, in order to appropriate more easily the share of each proprietor; but in country houses, which stand insulated, and which have their adjoining faces of the same workmanship, e1t-her of the two pair of parallel walls may be taken the whole length of the external faces, and the dimensions of the other pair of parallel walls should be taken perpendicularly from the interior sides of the said walls, or the horizontal stretch of the interior side of either. ' In measuring for workmanship only, it is customary to allow the length of each wall on the external side ; or, if all the adjoining walls are of the same workmanship, to girt the whole on the outside; and consequently, if the building be a rectangle, the contents will by this means exceed the real quantity by four square pillars, each the height of the build- ing, and in horizontal dimensions the thickness of each wall. This is a compensation for plumbing the angles; but this practice is unfair with regard to materials. In measuring walls that are faced with bricks of a superior quality, the London surveyors measure the whole as if com- mon work, and allow so much per rod for the facing, as the quality of the bricks and superior excellence of the work may deserve. The facing may be reckoned at two-thirds of a brick. In taking the dimensions of the brickwork in the different stories, the height of each part, as high as it goes of the same thickness, must be taken ; and the contents of each part computed separately, the offsets being always below the joists, and consequently the wall the same thickness throughout, from the ceiling of one floor to the ceiling of another. All apertures and recesses from any of the faces are to be deducted, but an allowance per foot lineal should be granted upon every right angle, whether external or internal, except that two external angles are formed by a brick in breadth, and then only one of them must be accounted for. This allowance is in consequence of plumbing the faces which constitute the said angles ; but if the bricks are cut so as to form oblique angles, this allowance should be at least double. It is customary, in almost every part of the country, in measuring for workmanship, to find the contents of the walls as if solid, without deducting the vacuities, so that upon this principle, if the apertures be ever so large, they must, at all events, be accounted as solid ; and, in this instance, the pro- prietor would be greatly overcharged by the workman. Again, in apertures of small breadth, the trouble in plumb- ing at the returns is equally the same at the same height as if ever so wide; but in case the voids are less than the lineal allowance, there would be a manifest loss to the master workman. It is much to be wished that such an allowance as above-mentioned should be established, in order to do away the uncertainty of computing the quantity of walling, such as to be often above, and sometimes below the real value of workmanship. Gauged arches are sometimes deducted and charged sepa- rately, and sometimes not ; but it is the same whether they are deducted or not, as the extra price must be allowed in the former case, and the whole price allowed in the latter, which is much the more troublesome of the two. Gauged arches are at least five times the trouble of the best marl facing. To measure the vacuity of a rectangular window—Find the solidity that would fill the outside vacuity from the face of the wall to the reveal, or outside of the sash-frame ; the solidity that would fill the vacuity from the outside of the sash-frame to the vertical plane of the extension of the back upwards; and the solidity that would fill the vacuity con- tained between the vertical plane of the back and the internal face of the wall ; then add these three solidities together, and the sum will be the solidity that will fill the whole void; then add the allowances. 0r theta—Find the area of each of the three vacuities parallel to the face of the wall; multiply each area by each respective number of half bricks in the thickness of the wall, add the three products together; divide the sum by 3, and the quotient reduces the contents in superficial feet to the standard thickness. ' In taking the dimensions of brickwork, inches are generally neglected. Example—Suppose the height of the outer vacuity, from the sill to the under side of the head, to be 10 feet, the breadth 4 feet 6 inches, and the thickness half a brick; the height of the middle vacuity from the sill t0 the under side of the wooden lintels, to be 10 feet 3 inches, the breadth 5 feet 2 inches, and the thickness also % a brick, and the inside vacuity, from the floor to the under side of the said lintels, 13 feet; the mean breadth, supposing the inside to splay, to be 5 feet 6 inches, and the depth of the recess 1% brick: required the solidity that will fill the void. Operation for the outside vacuity. 10 4% .— 4O 5 45 —. Operation for the middle vacuity. 10 3 O 5 2 0 1 8 6 51 3 0 52 11 G Operation for the inside vacuity. l3 5% 65 6 6 ft. in. sec. 45 0 O 71 6 52 11 6 3 214 6 0 214 6 3)312 5 6 1 10 the solid that will fill the vacuity. 104 To calculate the price of a rod of brickwork—This will depend upon the quality of the bricks and the goodness of the workmanship; for in building foundations and party- Walls, which are commonly done with place-bricks, the brick- layer may easily lay 1,500 bricks in a day: in garden-walls, barns, and common country houses, where greater nicety is required in jointing, he may lay about 1,000 per day; and in gray-stock, or marl fronts, done with great care, he will hardly exceed 500 in the day. The expense per rod will also depend upon the articles of living, and consequently upon the times. One example, however, will be sufficient; the prices of materials and labour may be had from a Price Book. In the BRI 52 BRI following statement, the work is supposed to be a well-built gray-stock front, the rates of charge according to the present London prices for 1848. £. 8. d. To 4,500 gray-stock bricks, prime cost at E 8 ll 0 38s. per thousand ......................... 1% cwt. lime, at 14s. per cwt ....... . ......... .. 1 1 0 2 loads sand, at 5s. per load .................. 0 10 O 3} of a day of a labourer to slack, chaff, 8w. 0 2 7 the mortar, 3s. 6d. per day .................. i % Bricklayer 5 days, 55. 6d. ........... . ......... 1 7 6 Labourer 5 days, 3s. 6d ................ ..... 0 17 6 £12 9 7% Add 1% per cent for scaffolding, &c ......... . 0 3 4% Add 15 per cent profit on the prime cost... 1 17 6 £14 10 6 In making the calculation of a wall where the bricks of the facing are of a superior quality to the backing, it is pro- per to observe, that the number of bricks in the facing of a rod of F lemish-bond work will vary from 1,500 to 2,000, according 'to the size of the bricks and closeness of the joints; this number of bricks must be deducted from the whole number that would constitute a rod; and each number of bricks must be valued according to their respective qualities. The following example will sufliciently explain the appli- cation of the foregoing rules in the measurement of the front wall of a house. - Example—Suppose the front wall of a house to be four stories high, and the length 26 feet; the footing to consist of place-bricks in four courses, which are respectively, 5, 4%, 4, and 3% bricks in breadth; the basement part of the wall to be built with gray-stocks, 11 feet in height, and 3 bricks in thickness; the parlour part of the wall to be 11 feet in height, and 2% bricks in thickness; the one-pair-of—stairs, or principal floor, to be 13 feet in height and 2 bricks in thickness; the chamber floor to be 10 feet in height and 1% brick in thick- ness; the three upper stories to be of gray-stock work, faced with marls; in each of the basement and entrance stories are to be two windows and a door, and three windows in each of the upper stories: the whole of the windows, as well as the doors, to be 4 feet in width; the windows in the basement to be 6 feet in height, and not recessed in the inside below the sash-frame: those in the parlour-story to be 8% feet in height, recessed from the inside of the room below the sash-frame, which is to be placed two feet above the surface of the floor; those in the drawing-room story to descend to the bottom, and to be in height 10 feet. The upper windows to be 6 feet 9 inches in height, and 2% feet above the surface of the floor, the head of the basement door to be upon a level with the windows, and the jambs 8% feet high. The street-door to entrance, or parlour-story, to be semicircular, and the top of the arch upon a level with the soflits of the heads of the windows; the sash-frames to be all sunk within the jambs in 4 inch reveals'; likewise the under sides of the wooden lintels above the level of the soflits of the brick heads, to be recessed 3 inches upward, and the door-frames 13 inches into thejambs, and also 3 inches into the head; all the windows and doors to have rubbed and gauged arches: the arches of the windows to be ll inches broad, and in height equal to four courses of the wall. Their mean length, or horizontal dimension, to be 4% feet; the soilits to be the breadth of a brick, or 4% inches, and the length is consequently four feet, the breadth of the windows: the arch of the door to be 9 inches broad on the face, and as much on the soffit: how much will the whole amount to, supposing the rod of place- bricks to be £12. 15s. the rod of gray-stock work to be £14. 10s. the extra facing of best marl stocks to be Sixpence per foot superficial, the extra price of the rubbed and gauged arches 3s. per foot, and the lineal foot of angles in apertures to be a penny per foot: likewise, what will be the price of a rod, supposing the apertures not deducted, and what will be the rate if they are deducted, without making any other extra charge whatever; so that the profit of the master bricklayer shall be the same in either case? The dimensions are generally taken with two five-feet rods, and entered in a book, ruled perpendicularly for the purpose. In brick-work it will be convenient to have three columns contiguous to each other on the left hand; the first vertical column to contain the dimensions, and to be only bounded by one vertical line on the right-hand side of the column: the dimensions of the same surface to be written one under the other, putting the like denominations in vertical rows ; the number of times any work is repeated is put on the left of the upper dimension, and separated from it by a curve; the number of half bricks are to be written in the adjoin- ing right—hand column, ruled on both sides, and in a horizontal line with either dimension. It would answer little purpose to show the work arising by squaring the dimensions. It may be proper to observe, in order to avoid numerous repetitions of division, that the dimensions of the surfaces, in length and breadth, must be multiplied together, and the product multiplied by the num- ber of times, if more than once repeated, and this last pro- duct again by the number of half bricks in the thickness of the work: but if the outline of the surface of the work be circular, or any figure whatever, the quantity of surface must be found by the rules for measuring that figure, and repeated the number of times, and this product by the number of half bricks in the thickness of the work, as before. These products may be found by beginning with any of the multipliers, and using any one of the remaining ones in each succeeding product until their number is exhausted; the result is to be placed in a third adjoining column on the right, in a horizontal row with either of the dimensions. The dimen- sions, the number of half bricks, and contents of every two surfaces, are to be separated from each other by a hori- zontal line. The numbers in the third column are the con- tents of the work reduced to a wall, half a brick thick; and consequently, any number of contents of the same species of work may be added together, and reduced to the standard by dividing the sum by 3; and if rods are required, the quotient must be divided by 272, which will save immense labour. The following is a specimen of the Dimension Book: The lineal measures are as in the preceding description, and are supposed to be taken in order, as they succeed each other, beginning with the basement part of the building, whether of the same kind or not, in order to prevent frequent returning to the same place. \Vhere the same dimension is often repeated in different parts of the building, it would be unnecessary to insert the number of times they occur in every part; it is sufficient to make a memorandum of the number to be found in each place, on the waste, and then the number of times it is repeated in the whole may be inserted in the Dimension Book at last. In each of the different stories, the same order, if possible, is repeated, that mistakes of overlooking any of the articles may be prevented. Every other part will be sufficiently evident by inspection, and by attending to the general description in the example, except the semicircular head of door-way, the dimensions of which are set down in the same manner as the others, and the squaring is found by the rules for measuring a circle. Now the multiplier for the area of a circle reduced to duodecimals BRI 53 BRI is 9 in. 5 sec.; the dimensions are 4 feet by 2 ; these multi- plied together give 8 ; this product again multiplied by 9 1n. 5 sec. gives 6 ft. 3 m. 4 sec. and the repeated by 2, the number of half bricks on the exterior part of the aperture, gives 12 ft. 6 m. as the seconds are always unnoticed. Dimension Book, with the Conlenls. — 26 0 Footing of wall with place-bricks 1 0 8% 221 o 26 0 Part of the wall opposite basement, of gray- “ 0 6 1716 0 stock brick-work 2( 6 0 Exterior part of the apertures of the two 4 0 1 48 0 windows 2( 6 3 Interior part of ditto 4 8 5 291 8 4(18 3 External and internal quoins of windows 73 0 3 6— Exterior part of the aperture of door-way 4 0 2 68 0 8 9 Interior part of ditto 4 8 4 163 4 2(29 9 51 (3 Quoins of door-way 26 0 Part of the wall opposite parlour, or entrance 11 0 5 1430 0 stoi‘)’ 2(‘8 6 External parts of apertures of windows 4 0 1 68 0 2( 8 9 Middle parts of ditto 4 8 1 81 8 2(10 9 Internal parts of ditto 4 8 3 301 0 4(28 0 112 0 Quoins of windows 8 6 External part of aperture of street-door, ex- 4 0 2 68 0 eluding the circular head 8 6 Interior part of aperture of street-door, ex- 4 6 3 114 9 eluding the circular head - 4 0 Exterior part of aperture of semicircular 2 0 2 12 6 head of street door 4 6 Interior part of ditto 2 3 3 23 10 2(25 6 51 0 Straight quoins of door-way ‘26 0 Part of the wall opposite the one pair, or 13 0 4 1352 0 principal story 3(10 0 Exterior part of the aperture of windows 4 0 1 120 0 3(16 3 Interior part of ditto 4 8 3 430 6 li( 30 6 183 0 Quoins of windows 26 0 Part of the wall opposite attic story 10 0 3 780 0 3( 6 9 Exterior parts of apertures 4 0 l 81 0 3( 7 0 Middle parts of ditto 4 8 1 98 O 3( 9 6 Interior parts of ditto 4 8 1 133 O 6(90 9 124 6 Quoins of windows P l. v Sundry Extras. 11(4 6 Rubbed and gauged faces of arches in all the 0 8 33 0 windows 4 0 Rubbed and gauged arch of doorway 2 O 5 6 11(4 0 Sofiits in ditto 0 4 14 8 34 O Marl facing, including apertures 26 O 884 0 2(8 6 Deduction of parlour windows from marl facing 4 0 68 0 3(10 0 Deduction of the one-pair windows from marl 4 0 120 O facing 3(6 9 Deduction of attic windows from marl facings 4 O 81 0 8 6 Deduction of the area of doorway from marl 4 O 34 0 facing, excluding the semicircle 4 O Deduction of the semicircular head of doorway 2 0 6 3 from marl facing. The dimensions are most frequently wrought upon the waste, or upon the right-hand side of the leaf of the Dimen- sion Book, which is very convenient, as the work may be inspected should any mistake be apprehended. The arranging of the several kinds of work into columns, so as that each column may contain the same kind through- out, is called an abstract. This arrangement saves much trouble in the calculation, reduces the whole into a very small compass in homogeneous kinds, and prevents the confusion which would otherwise arise from the multitude of parts in a complex building. The following is an abstract of the whole: The contents are placed in vertical columns, which are in number equal to the number of kinds of work, every number of the same kind being arranged in the same column. The order of each kind or species of work is the same as they occur in the Dimension Book; for example, 221 footing of walls, with place-bricks, first occurs; this is entered in the first column of the abstract: 1716, basement wall of gray-stock brickwork next occurs; these bricks and work being of a different quality, are entered in the second column of the abstract: 48, the exte- rior part of the apertures next occurs; this is the same kind of work as the last, but as the former is a measure of both solids and voids, and this is only a part of the measure of the voids, the 48 is placed in an adjoining column. The next number is 291 .. 8 ; this is a deduction of the same kind, and is therefore inserted in the abstract below the 48: the next that occurs is 73 feet of quoins lineal measure; this, being different from the preceding, is entered in a fourth column. The next that occur in the Dimension Book, are 68 and 163 .. 4, external and internal parts of the aperture of door- way; being voids of the same kind as the preceding, they are successively entered in the third column, below the 291 .. 8. The next that occurs is 51 .. 6, quoins of doorway, and is entered in the fourth column. The next that occurs is 1430 .. O, the part of the wall opposite parlour, or entrance- story; now, though this is gray-stock work, faced with marles, it is taken only as a gray-stock wall, and is therefore entered in the second column; the difference of price for the superior quality of bricks and work being afterwards made up by affixing an extra price to the superficial contents of this part of the wall, and thus for all that follows. The whole being inserted, each column is added together, and in the quality of the brick-work the sum of the voids is taken BRI '54 BRI from the whole; the remainder is divided by 3, which gives the superficial contents in feet of the surface of a wall reduced to L21 brick in thickness; the deductions being negative quan- tities, no farther notice is taken of them; the sums of the other columns being positive, the price is affixed to each common measure, whether a foot or a rod, &c. and the value of each quantity is found by this common measure; then the quantities, with the prices of their common measures and values, are inserted in a bill; the whole being reduced into a sum, gives the amount of the whole money for the wall. Abstract. The Whole of the walling re- duced to é a brick thick, taken Quoins of Footing of wall as gray-stock work without apertures by of place-bricks. regard to the facing. the lineal foot. Contents of the wall. Deductions. 3)221 0 1716 0 48 0 1430 0 291 8 73 0 73 8 1352 0 68 0 51 G 780 0 163 4 112 0 —— G8 0 51 0 5278 0 81 8 183 0 2103 3 301 0 124 6 ~-——— 68 0 3)3174 9 114 9 595 0 -—— l2 6 272)1058(3 R 23 10 816 120 O 430 6 242 81 O 98 0 133 O 2103 3 Rubbed Marl facing in superficial feet. and gauged arches. Contents. Deductions. ft. in. ft. in. ft. in. 37 1 884 0 68 O 16 6 309 3 120 O 81 0 53 7 57 9 34 0 6 3 309 3 The next thing to be done is to affix the price of the common measure to each of the above species of work, and from this, to calculate the quantity of each ; then insert the several sums in a bill, as follows : Bill. Rods. Feet. :8. s. (I. 0 73?;* Superficial of place-brick work reduced E 3 8 51 to the standard at £12. 15s. per rod 4 3 242 Superficial of gray-stock work reduced to ’6 8 0 the standard at £14. 10s. per rod ...... o O 595 Feet lineal of quoins in apertures at 1d 0 9 7 per foot ..................................... . ~ 0 535 Superficial of rubbed and gauged work I 8 0 6 at 3s. per foot ............ . ......... S 0 .5742~ Superficial of marl facing at 6d per foot 14 7 4% £ 84 13 103- * 4% not noticed in the calculation. In the foregoing admeasurement, the quoins are valued by the foot lineal, in addition, and the method of making out the contents is different from that commonly used; but though the allowance is strictly just, and the practice shorter and less liable to mistake than that in common use; that there should be nothing wanting to gratify those who may still favour the customary method, the admeasurement is here repeated in the usual way. The mark thus — signifies a deduction. _ , The dimensions are frequently Dimen Contents. 'Ih‘ qunared upon the waste on the ft. in. ft- in. brick . margin of the Dimension Book; 26 O Footmg- the following is a specimen: 1 1 0 26 0 4‘ First. Second. 4 8 8 9 26 0 286 o 3 Walling e 3 4 s 11 0 , 28 0 35 O 2 6 8—48 0 ; Windows 1 2 211 4 2 11 6 3 29 2 2 4 8—58 4 2;. Ditto 2 4o 10 58 4 8 6—34 o 1 Doorway 4 0 Third. _Fourth. 3 9—40 10 2 Ditto 8 9 4 3 4 8 8 9 4 8 _ 26 5 10 0 3 6 0 11 g 286 0 2; Walling 35 0 37 4 4O 10 0 40 10 0 2 i g— 68 O 5 Windows —- -——— The operations are wrought in 2 8 9 , various ways: as in the first and 4 8 _ 81 8 2 Dltto second, by aliquot parts; the third and fourth by duodecimals. These 2 10 9 ' , various modes serve to confirm 4 8 _100 4 1‘ D itto each other. The third and fourth are the same dimension, but the 8 6 , factors are inverted in respect of 4 0 _ 34 0 1 Ditto C: each other. _ 4 4 6 4 6 . 0 8 l 1 6 4 0-— 6 3 1 Ditto 9 5 9 0 2 0 G 0 3 4 10 1 G _ 4 __ 1 .tt 6 0 0 9 5 ‘ 2 3 7 11 4 D1 0 76 6 3 4 4 2 7 6 ‘~ 0 2 . - q 7 7 1 6 13 0 338 0 \l allmg 7 11 4 l 6 3 12 21—120 o 2 Windows The mark thus 0 signifies a 3 10 3 semicircle. The method of find- 4 8 —l43 (3 1% Ditto ing the semicircular area is shown in the two examples above; first ”(1 0 by multiplying the dimensions i0) 0 260 0 1% Walling together, and multiplying the pro- duct by 9 inches and 5 seconds, as 3 (‘ 0 above, or by calling the feet inches, 4’ 0 — 81 0 2 Windows as in the first operation, and multi- plying by 9 feet 5 inches. 7 0 . 3 4 8— 98 0 4 Ditto 3 9 (3 . 4 8-133 0 1 Ditto 1 The above contents are abstracted by inserting each area in a separate column, according to the number of half bricks it is thick. In the following abstract, the several parts of each column are collected : the sum or amount is multiplied by the number of half bricks, and the product divided by 3 ; then the positive quantities are added together, and the negative ones added together, their ditlbrence is the real quantity in reduced feet, by dividing which by 2’2, the answer will be obtained in rods. B R I 55 B R I Wall, including Apertures. Deductions from Wall. 45 bricks. 3 bricks. 2% bricks. 2 bricks. 1} brick. 2} bricks. 2 bricks. 15 brick. 1 brick. 5- brick. Footing of ft. in: ft. in. ft. in. ft. in. ft. in. ft. in. ft. in. ft. in. ft. in. place bricks .____— 286 0 286 0 338 0 260 0 58 4 4O 10 100 4 34 0 48 0 ft. in. 6 5 4 450 8 5 4 38 3 34 0 68 O 26 0 .___ , .— — 476 8 7 11 6 3 81 8 84301716 0 3)1430 0 3) 1352 0 572 O 3) 291 8 3) 163 4 143 6 120 O 97 2 74 3 81 0 208 0 572 0 476 8 450 8 1759 4 97 2 54 5 54 5 2 98 0 13 0 700 1 1 49 6 133 0 ._____ —-——— 209 10 3) 148 6 3) 221 0 272) 1058 5(3 rds. 629 8 816 700 11 49 6 1 73 8 '— 242 feet. 3) 629 8 209 10 Instead of dividing by 3, as in the above abstract, it would be easier to add the products of the half brickwork, both for the walling and for the deductions, and substract the deductions from the walling; divide the difference by 3, and the quotient by 272, should it be found neces- sary. Wall, including Apertures. Deductions from Wall. 441 bricks.|3 bricks. 2% bricks. 2bricks. 1% brick. 2% bricks. 2bricks. 1:} brick. 1 brick. igbrick. ft. in. ft. in. ft. in. ft. in. ft. in. ft. in. ft. in. ft. in. ft. in. ft. in. 26 O 286 0 286 0 338 0 260 0 58 4 40 10 100 4 34 0 48 0 8% 6 5 4 3 5 4 38 ~ 3 34 O 68 0 7 11 6 3 81 8 208 O 1716 0 1430 0 1352 0 780 0 291 8 163 4 143 6 120 0 l3 0 1352 0 74 3 81 0 1430 0 290 0 2 98 0 221 0 1716 0 3 133 0 —— 148 6 5278 0 870 0 629 8 2103 2 291 8 1 ———- 163 4 3) 3174 10 148 6 629 8 —— 629 8 272)1058 3(3 rods 242 feet. —— 816 2103 2 24-2 l The other parts of the above abstracts are as in the pre- ceding, and are, therefore, not again repeated. A wall common to two houses, the properties of different persons, is termed a party wall; but if a building stands insulated, the walls which join the entrance to the rear front are called flank walls. Chimneys are generally carried up, either in party walls, flank walls, or partition walls, and some- times in all of them; but never, or very seldom, in the front or rear walls. When the walls which contain the chimneys are thin, it becomes necessary to form a projection of sufficient breadth and depth, for the reception of the fines, or as many of them as can be collected into one stack. This projection is generally a rectangular prism, showing three vertical sides, and is termed the chimney-breast, or breast of the chimney. The method of measuring the solid contents of every part of a building, is to reduce all the parts into rectangular prisms, and then find the solid contents of each prism. It frequently happens, that walls consist of a cluster of prisms, which may be differently divided, in order to separate them. All apertures or cavities of any consequence, ought to be deducted from the measure, whether the proprietor or the contractor find the materials; but as every return or termi- nation requires more trouble than a continued wall, an allow- ance ought to be made in lineal measure, upon every foot of angles, or terminations, as before-mentioned, for the trouble of plumbing, leveling, and straighting. It is true, that a great length of wall requires several intermediate plumbings, but then, as they are only regulated upon the face, the trouble is small in comparison to what is required in a vertical termi- nation, or a deflection of the wall from its course, by another return wall at an angle with it; and as these plumbings may be made at regular distances, the parts of the wall may be said to be uniformly built, and the same in all equal lengths of walls, and the time proportional to the quantity under the same circumstances of height and thickness, and therefore the area or solidity is a fair ratio of the price : and farther it is evident, that the greater the number of apertures or vacui- ties, in the same length of wall, the more trouble will they occasion the workmen, since more time is required to form the sides of the apertures, or the boundaries of the vacuities. In this case, therefore, the time of completing a wall of given dimensions, even with the same quality of work, depends upon the number of quoins that are to be built, and consequently cannot be determined by the solidity of the wall, but jointly by this measure and the lineal quantity of angles; for the solidity is not as the time, when the number of quoins are increased, and consequently the price not as the time; but the price may be made up by the increase of the angles. BRI 56 BR! It is likewise evident, that in building quoins, while the workmen continue at the same rate of work, the lineal quantity is in the same ratio as the time, and therefore this lineal measure is a fair representation of the value of the work. In carrying up a wall of the same horizontal length, where there are no vacuities, the quantity of work performed by the same number of bricklayers is equal in equal times, but the work requires an additional number of labourers as the height increases, to supply the materials: in this case also, the quantity of surface is a fair representation of the value of the work, in respect of the bricklayers, but an additional sum must be added as the work proceeds, and this increase would be the terms of an arithmetical progression; for suppose the materials at the foot of the scaffold, and the scaffolding erected at regular heights; now it is evident, that Whatever time the labouref requires to mount the first scaffold, he would require a time double, triple, quadruple, the first, &c., to mount the second, third, fourth scaffold, &c.: the sum of all these times is the whole time. There should also be a uniform increase of price for the use of scaffolding, as well as for an additional number of labourers, as the work is carried upwards. From the aggregate of these circumstances, it is evident, that the value of the labour, with respect to the bricklayers, may be fairly estimated by the quantity of surface, of equal thickness, but an increase of price must be allowed for labourers and scaffolding. To measure and value party walls, flan/a walls, and par- tition walls with fines—F ind the cubical contents of the whole, or each part of the wall, in feet, according to its figure, or the figures into which it may be resolved; deduct the vacuities, multiply the remainder by 8, and divide the pro- duct by 9, and the work will be reduced to the standard; then take the lineal measure of all the quoins, whether exter- nal or internal, the proper rate being affixed to each common measure, and it will give the value of the whole. In measuring walls containing chimneys, it is not cus- tomary to deduct the fines; but this practice, with regard to the materials, is unjust, though perhaps, by taking the labour and materials together, the overcharge, with respect to the quantity of bricks and mortar, may, in some degree, com- pensate for the loss of time; on the other hand, should the proprietor find the materials, it is not customary to allow for the trouble of forming the flues, which is therefore a loss to the contractor, or to the workman who engages to execute his part by measure or task-work. With regard to the allowance for the lineal measure of quoins, we regret to observe, that the practice is not general, and, so far as we know, has only as yet taken place in outside and inside splays, and the angles of groins: we admit that every innovation, not founded upon reason, ought to be resisted; but as we are convinced of the justice of this mode, we have here ventured to introduce this as a general practice, which ought to be followed in every case, whether the quoins be vertical, or horizontal, or curved ; and an appropriate price should be affixed to each species of quoins, whether external or internal, right-angled or oblique, curves or right lines, as the trouble is greater in external than in internal angles, greater in oblique than in right angles, greater in curved quoins than in straight ones, and still greater in groins, where the angles are continually varying, than in curves where the angles are the same throughout. If the brick-work of the footing of a wall project equally on each side, and if the bricks be of the same kind as the wall above, take the height of the wall from the bottom of the footing, as high as it goes of the same thickness; multiply that by the length and the thickness, and reserve this solidity; then multiply the length of the wall, the height of the footing, and its projection with the addition of half a brick, will give the solidity of the footing; add these two solidities together, and the sum will be the solidity of the wall, from which deduct the vacuities, and the remainder will be the quantity of solid work. If the breast of a chimney project from the surface of the wall, and be parallel thereto, the best method is to take the horizontal and vertical dimension of the face, multiply these together, and the product by the thickness taken in the thin- nest part, taking no notice of the breast of the chimney; then find the solidity of the breast itself; add these solidities together, and the sum will give the solidity of the wall, including the vacuities, which must be deducted for the real solidity; after taking the dimensions for the quantity of brick-work, the lineal quantity of angles should be taken, and entered in the Dimension Book. Nothing more is necessary to be said of the shaft, than to ake its dimension in height, and horizontally in breadth and thickness, in order to ascertain the solidity; and then take the lineal quantity of angles, and enter them all in the Dimen- sion Book. If a chimney is placed in the angle, with the face of the breast intersecting the two sides of the wall, the breast of the chimney must be considered as a triangular prism; to find the solidity, therefore, multiply the area of the base by the height of the surface of the front or breast, and the pro- duct is the solidity. To take the dimensions : from the intersections of the front of the breast into the two adjacent walls, draw two lines on the floor parallel to each adjacent wall, then will the triangle on the floor, included. between the front and these lines, be equal to the triangular base of the chimney. In order to obtain the area of the triangular base, the dimensions may be taken in three various ways, almost equally easy; but as con- venient a method is to take the extent of the base, which is the horizontal dimension of the breast, and multiply that by half the perpendicular; or, multiply the whole perpendicular by half the base, for the area of the surface on which the prism stands ; but as fractions arise by the halving of odd numbers, it would be better in such cases to multiply the whole per- pendicular by the whole base, and half the product will give the area of the prismatic base, which is that of the chimney breast. Sometimes the front of the chimney-breast does not intersect the walls, but is projected out from each adjacent wall by two returning vertical planes of equal breadth, each at a right angle with the adjacent wall: in this case the triangular prism is measured as before; but as the part between the prism and the wall is frequently constructed with burrs, an inferior kind of brick, this part will then consist of two rectangular prisms, and there is nothing more to do than to measure them as such; then deducting the vacuity of the fire-place from the triangular prism, the remainder will be the true solidity of this prism. In the former case, when the plane of the breast intersects the two sides of the room, a lineal allowance per foot ought to be made for the inside splays, and in the latter case, where the plane of the breast does not intersect the adjacent walls, there will be two outside splays, and two internal right angles ; in this case, there must be an allowance for outside splays, and the internal right angles, per foot, running each according to its respective qualities: and in both cases it would only be fair to allow for the vertical extent of the angles of the fire-place. It is not here meant that these allowances should be made according to the present prices, which are adapted so as to include hinderances at a hazard, without any foundation in common reason, but that the O BRI 57 BRI price per rod should be reduced in an adequate degree, and each kind. valued by its common measure, in proportion to the time it requires to perform a given portion. A row of plain tiles laid edge to edge, with their broad surfaces parallel to the termination of a wall, so as to project over the wall at right angles to the vertical surface, is called single plain tile creasing, and if two rows are laid one above the other, the one row breaking the joints of the other, then these two rows are called double plain tile creasing; over the plain tile creasing a row of bricks are on edge, with their length in the thickness of the wall, called a barge course, or cope. In gables which terminate with plain tile creasing, coped with brick, in order to form the sloping bed for the tile creasing, the bricks must be cut, which is a considerable trouble; the sloping of the bricks thus, is called cut splay. Plain tile creasing and cut splay are charged by the foot run, and sometimes the latter by the foot superficial. A brick wall made in panels between quarters, is called brick-nogging. This kind of work is generally measured by the yard square, with the quarters and nogging pieces included in the measure ; but the apertures should be deducted, and the lineal measure of the angles allowed. Pointing is the filling up of the joints of the bricks on the face, after the wall is built, with mortar, so as to be regular. Pointing is of two kinds. In either, the mortar in the joints is well raked out, and filled again with blue mortar : in the one kind, the courses are simply marked with the edge of a trowel; in this state it is called flatjoz'nt pointing. If, in addition to flat joint pointing, plaster be inserted in the joint with a regular projection, and neatly pared to a parallel breadth, this state is called tuck pointing, or tuck-joint point- ing, formerly tack and patt. . Pointing is measured by the foot superficial, including in the price, mortar, labour, and scaffolding. Rubbed and gauged work is set either in putty or mortar, and is measured either by the foot run, or by the foot super- ficial, according to the construction. The circular parts of drains may be either reduced to the standard, or to the cubic foot, and the number of rods taken if required. The mean dimension of the arch will be found by taking the half sum of the exterior and interior circum- ferences ; but perhaps it might be proper to make the price of the common measure, whether it be a foot, or a yard, or a rod, greater, as the diameter is less ; but as the reciprocal ratio would increase the price in small diameters too much, perhaps prices at certain diameters would be a sufficient regulation. Circular walls are measured in the same way, by finding a mean girt, which is to be multiplied by the height and thickness; but all work should be valued in proportion to the time required to perform a given portion of it, but in equal portions of straight and curved walls of the same kind of workmanship, the curved portion will require a greater price than the straight portion. In measuring canted bows, the sides are measured as Continued straight walls, but the angles on the exterior side of the building, whether they are external or internal, are allowed for in addition, and paid for under the denomination of Iran qf bird’s-mouth,- all angles within the building, if oblique, from whatever cause they are formed, whether by straight or circular bows, or the splays of windows, are allowed for, under the denomination of run of cut splay. I‘hese_allowances are certainly what ought in justice to be, and this is fulfilling, in part, what has been so much insisted ypon; but allowances should extend to right angles also: if the bricks be made to the splay, then the charge need not be greater than when the angles are right. 0. Brick cornices are charged by the foot run, but as there are many kinds, and these executed with more or less difli- culty, the price will depend on this, and also upon the value of the materials. Garden walls are measured the same as other walls, but if they are interrupted with piers, the thin part may be measured as in common walling, and the piers by themselves, and the additional allowance for the right angles, at per foot run, should be granted. The coping is measured by itself, according to its kind. . The common measure for tiling, is a square of 10 feet, each side containing an area of 100 superficial feet. Not only the price of new work is valued by this measure, but also strip- ping and re-tiling of old roofs; but if any quantity of new tiles are used, they are charged separately, and the superficial quantity of old tiles that would fill the places of the new, are computed, and deducted from the old. In plain tiling, as the rafters are generally made three-quarters of the breadth of the building, the surface of the roof is exactly equal to the area, and a half more, of the length and breadth of the build- ing, or the space contained between the sides of the covering and ends. This being kept in View, will save much trouble in calculation. Paving is laid either with bricks or tiles, and is measured by the yard square. The price per yard will depend on whether the bricks are laid flat or on edge, or whether laid with bricks or tiles, or of what size tiles, or whether any of these be laid in sand or in mortar. The mensuration of groins and vaults will be shown under their respective heads. That this work may be generally useful, we shall here subjoin the customs of several other parts of the United Kingdom, as well as the foregoing, which are calculated for London and its neighbourhood, or work done in the country by London masters. In most counties, brick walls are measured by the yard, without reducing the thickness of the work to the standard, and fixing a price per yard according to the thickness. In Cumberland, walls are mostly measured by the yard, and rated according to the thickness of the work: they have also a standard thickness of 18 inches, and their rod or rood is 49 square yards; these are also used by masons in the country, but neither the standard nor the rod are frequently used; apertures are always included for workmanship. In measuring the breasts of chimneys, they take the horizontal girt from wall to wall, to this they add the number of withs, or divisions between the flues, reckoning each with 3 inches, for the whole breadth; the height of the story, or as high as the work goes on uniformly, is the other dimension of the face, and the thickness is reckoned 9-inch work. In mea- suring a chimney-shaft, they girt it all round, then add the number of withs for the breadth, as before, and if there is only one row of flues, they reckon the thickness a 9-inch wall. In Scotland, the brickwork of outside walls is generally measured by the rood of 36 square feet, and this measure is almost, if not quite, general. In Glasgow, the standard thickness is 14 inches, or 1% brick, the same as London; and walls of less thickness are generally measured by the yard, and the rate of price is according to the thickness of the work. Chimney shafts, or stalks as they are there called, are girt about for their horizontal dimension, and the altitude of the shaft, together with half its thickness, is the other dimension of the face; and the thickness is reckoned a brick and a half. In measuring the breasts of chimneys, they take the breadth of the face, and one return for the length, and the other dimension of the face is the height as far as the BRI 58 BRI work goes of a uniform quality and thickness; the thick- ness is what the breast really projects. Vacuities for doors and windows are not deducted from outside work. In Ireland, the common measure is a perch of 21 square feet, being 21 feet long, and 1 foot high: the standard thick- ness is 9 inches only. The custom there, as also in most country places in Great Britain, was to include the openings. A 4-inch wall is reckoned two-thirds of a 9-inch wall; and a 3-inch wall, half a 9-inch wall. In the centering of sewer vaulting, half the arch is allowed; and in groin vaulting, the whole arches are done at so much per piece, according to their kind; splayed jambs, cant quoins, &c., by the running foot. For further information on measuring, the reader is referred to a valuable little work, called “ The Student’s Guide to the Practice of Measuring and Valuing Artifieers’ Works,” pub- lished by Weale, London. Materials in bricklaying are charged as follows :— Fine bricks, red rubbers, best marl stocks for cutters, second best, pickings, common bricks, place bricks, paving bricks, kiln-burnt bricks, and Dutch clinkers, by the thou- sand. Red rubbers, kiln-burnt bricks, and fire-bricks, are also sold by the hundred. Foot-tiles and ten—inch tiles, either by the hundred or thousand. Sunk foot-tiles, and ten-inch tiles, with five holes, by the piece. Pantiles, plain tiles, and nine—inch tiles, by the thousand. Oven-tiles, VVelch oven-tiles, VVelch fire-lumps, fire-bricks, and chimney-pots, are sold by the piece. Sand, clay, and loam, by the load: lime sometimes by the hundredweight. Dutch terras, Parker’s Roman cement, and lime, by the bushel. Pantile laths, oak laths, double and single, for slating, are sold by the bundle or load. Hair and mortar by the load. Mortar, lime, and hair fine stuff, Parker’s cement, and blue pointing—mortar, are sold by the hod. Hair is some- times sold by the bushel. Hip hooks and T nails by the piece. In the former edition of this work was inserted a number of tables, showing the prices and quantities of materials; but as there are now published several useful price-books, in which this kind of information is given, it has been con- sidered better to refer to them than occupy so large a portion of our limited space as the tables would necessarily occupy. BRIDGE, a structure of wood, stone, brick, iron, or other material, raised over a river, pond, lake, or any intervening space, for the purpose of affording a convenient mode of' passage for men or animals. The extreme supports of a bridge are called the butments, or abutments. See ABUTMENT. If composed of more than one opening, the intermediate sup- porters are called piers: the protecting walls or fpnces on each side are called parapcts. \Vhen the bridge is intended for both foot-passengers and carriages, the sides are generally raised, and sometimes paved with flag-stones, and are called banquettes, or jbot-patlzs ; the middle part, being reserved for carriages, is the road, or carnage-way. In this place we propose to give a slight historical sketch of the rise, progress, and present state of bridge-building, exemplified in descriptions of the most celebrated edifices of the kind in various parts of the world. Under the respective heads of STONE BRIDGE, ’I‘innER BRIDGE, IRON BRIDGE, SUSPENSION BRIDGE, &c., will be found the required infor- mation on each of these several branches of this important subject; and some account will be given of the theory under STONE-BRIDGE. The origin of bridges, there can be no doubt, takes its date very far back in the annals of the human race, though we have no documents by which to trace their progressive improvement, from the trunk of a tree, rudely thrown by accident or choice over a stream, to the convenient and stu- pendous edifices of more modern times It is probable that the first bridges were composed of lintels of wood or stone, stretching from bank to bank; or if the breadth of the river or valley to be passed were con- siderable, resting on piers or posts fixed in the bed of the river. In a strong current, the frequent piers or posts required for the support of lintels, would, by contracting the water-way, increase it to a torrent, obstructive of navigation, and ruinous to the piers themselves. In constructing bridges therefore over rapid rivers, it would be found essential to their stability, that the openings between the supporters should be as wide as possible, and every facility given to the free passage of the water; and as this could be effected only by the use of stone arches or wood trusses, there can be no doubt that these inventions were perfected before bridges of importance had become common. There are still remaining bridges of great antiquity built by the Romans, but we are not acquainted with the earliest history of so useful a contrivance. It is by many supposed that the Greeks very soon adopted the use of arches, but at any rate they do not appear to have applied them to other purposes than "for covering apertures in their buildings. See ARCH, ARCHITECTURE. Nor had they a bridge over the Cephisus, which crossed the high-road between Athens and Eleusis, till the Emperor Adrian erected one. In the Old Testament there is no mention of a bridge, and perhaps the bridge of Semiramis, at Babylon, may be considered the oldest on record. The Chinese lay claim to a high antiquity for their skill in bridge-building by means of arches. Several of these structures are of great magnitude, built of stone, and turned on arches in the usual manner; others are constructed with stones from five to ten feet in length, so cut as each to form the segment of an arc, which consequently has no key-stone; ribs of wood being fitted to the convexity of the arch, and bolted through the stones by iron bars, fastened in the solid parts of the bridge. The suspension-bridges of South America are of a very extraordinary character, and from the lightness of their mate- rials, their oscillation, and the great height at which they are sometimes suspended, present to the startled traveller objects at once alarming and picturesque, and well calculated to try the strongest nerve. See Sterxslox-BRIDGE. The Roman bridges are described by Bergier, as possessing all the requisites met with in a modern bridge; they consisted of piers, arches, butments, carriage-ways, and raised ban- quettes or foot-paths separated from the road by a railing, and sometimes furnished with a cover to shelter passengers from the weather. Their solidity and proportions prove they must have been constructed on sound principles. The superintemlence and care of bridges was always an important object with the Romans; it was at first committed to the priests, who thence obtained the name of poutf/z‘ces, afterwards it was given to the censors and curators of roads; and at last the emperors took it into their own hands. In the middle ages, the building of bridges was esteemed to be an act of religion; and about the close of the twelfth century, St. Benezet founded a regular order of hospitallers, under the denomination of pontg'fices, or bridge-builders, whose pro BRI 59 BRI 'vince it was to erect bridges, appoint ferries, and entertain tra- vellers in hospitals built on the banks of rivers. Of the bridges of antiquity, that built by Trajan across the Danube, near the town of VVarhel, in Hungary, is allowed to have been the most magnificent. It was destroyed by Adrian, but some of the piers may still be seen. The remains of a bridge, bearing as strong marks of _ ruined magnificence as any of antiquity, are to be met with at the bottom of a hill, on which the town of Narni is seated, on the road between Loretto and Rome. This bridge was built by Augustus, to join two mountains, between which flows the river Nera, and to enable the inhabitants of Narni to pass on a level from one mountain to the other. It was of an extra- ordinary height, and its whole length, 850 palms (637% feet). It consisted of four large unequal arches. The next considerable Roman work of this kind is the P072! du Garde, about three leagues from Nismes; which serves the double purpose of a bridge over the Gardon, and an aqueduct for supplying the people of Nismes with water. The bridge, which consists of six arches, is about 465 feet in length, and supports a second series of 11 arches, which are continued beyond the extremities of the bridge, and form a junction with the slope of the mountains on either side; it is about 780 feet long. Over these is a third series of 35 arches, much smaller than those below, 850 feet in length, support- ing a canal on a level with the two mountains, along which the water is conveyed to Nismes by a continued aqueduct. This extraordinary edifice is built with very large stones, held together by iron cramps without cement. The whole height is 190 feet above the lower river. The bridge of St. Esprit, near Lyons, is of Roman origin, and has long been deemed one of the finest and boldest 0f the ancient bridges of France. Its whole length is upwards of 800 yards; it is very crooked, bends in several places, and makes many unequal angles, particularly in those parts where the river has the strongest current. The arches run from 15 to 20 fathoms in width. The feet or bottoms of the piers consist, in their lower parts, of several courses of footings jutting out like steps; and are each protected by two pedes- tals, projecting from them. Between the large arches are smaller apertures, like windows, reaching nearly to the tops of the pedestals, about the middle of the pier. This mode of construction was adopted with a View to break gradually the mighty force of the Rhone: the several courses of steps, jutting out from the piers, oppose and break the stream by portions, and prevent it from operating with its whole force upon the fabric at once; and when the flood rises so high as to cover the steps and pedestals, the small arches, or windows, allow the water to pass freely, which otherwise would have clicked in the upper part of the great arches, and endangered by their being forced up. The city of Valenza de Alcantara, in Spain, is celebrated for its ancient bridge over the Tajo, or Tagus, about 25 miles from Madrid, built in the time of the Emperor Trajan; and, as appears from an inscription over one of its arches, by the people of Lusitania, who were assessed to defray the expense. It is 200 feet above the water, and though consisting of only six arches, is 670 feet in length, and 28 in breadth. At the entrance of the bridge is a small chapel dug in the rock by the pagans, who dedicated it to Trajan; but when the Chris- tians obtained possession, they consecrated it to St. Julian. Near the old town of Brioude, in the Lower Auvergne, or department of the Upper Loire, is a stupendous stone bridge, of one arch, the largest with which we are acquainted. It is attributed to the Romans, and stretches over the whole stream of the Allier. The extremities of the arch rest on a natural rock, which occasions the spring on one side to be lower than on the other; it is formed of squared stones in two ranks; the rest of the fabric is of rubble-work. The span of the arch is 181 feet; its greatest height, from the level of the water to its intrados, 68 feet eight inches; and the breadth of the bridge, 13 feet. The bridge of Avignon was begun in the year 1176, and finished in 1188, probably under the direction of St. Benezet and the fraternity of hospitallers, over whom he presided; it. consisted of 18 arches, and was about 1,000 yards in length. The road-way was so narrow, that two carriages could not pass each other in any part ; this had caused it to be deserted by all but foot-passengers long before its destruction, which happened in 1699, by one of those violent inundations com- mon to the Rhone. Many of the ruinous-decayed arches still remain. The city of Venice has nearly 500 handsome bridges of one arch, and various sizes, over the canals, &c.; most of them are of white stone, similar to that with which the streets are paved, without any balusters or fence on either side. Of these the principal is the Rialto, esteemed, when erected, a master- piece of art. It was begun in 1588, and finished in 1591, after a design of Michael Angelo, and consists of one bold flat arch, nearly 100 feet wide, and only 23 in height from the level of the water. Its breadth, which is 43 feet, is divided into three narrow streets, by two rows of shops: the middle street is the widest, and in the centre there is an arched aperture, by which the three streets communicate with each other. At each end of the bridge is an ascent of 56 steps, and the prospect from its summit is both lively and magnificent. The foundation extends 90 feet, and rests upon 12,000 elm piles: the whole exterior of the bridge, as well as of the shops, is of marble. The building cost the Republic 250,000 ducats. The most stupendous and magnificent work ever executed in the department we are now speaking of, is the aqueduct bridge of Alcantara, near the city of Lisbon. It was begun in the reign of John V. king of Portugal, in the year 1713, and was finished on the sixth of August, 1732, under the superintendence of Brigadier Mansel dc Maya. The aque- duct commences at a spring near Ribeira de Caranque, about three leagues and a half from Lisbon, to which city the water is conveyed for the supply of the inhabitants. The aqueduct passes subterraneously through the hills, receiving in its course the waters of several springs, and stretches across many valleys on the tops of magnificent ranges of arches, of which, that crossing the vale of Alcantara is the principal. When the water emerges from its subterraneous passage, it is received in two channels on the tops of these arches, each about 12 inches deep; it generally flows at about the depth of seven inches, yielding an abundant supply for the city and its environs. The interior height of this building is 13 feet, and between the streams is a paved walk or foot-path. The subterraneous passages are continued of the same height and width throughout the whole extent of the works, and are lighted and ventilated by openings to the surface of the hills through which they pass. Over each of these openings are turrets or square towers, with strong latticed windows, to prevent mischievous persons from throwing stones, 8:0. into the aqueduct. These turrets are 16 in number, each 16 feet square, and rising 23 feet six inches above the roof of the aqueduct ; the number of win- dows is 79, each three feet seven inches long, by 13 inches wide, railed with iron and latticed with bars. Beneath every second turret is an arched doorway into the aqueduct. The water-channel under the grand arch is about 21 feet in width, and seven feet in depth ; but this channel is dry, except in very rainy seasons. There is, indeed, a small stream con- BRI B‘RI stantly running through the vale of Alcantara, but it is conveyed by a very narrow channel under the pavement beneath the grand arch, and then continues its course through the valley in a stream between two and three feet wide, till it falls into the Tagus, about two miles below. This remark- able structure consists of 35 arches, of various dimensions. The eighth is the grand arch, which is 108 feet five inches in the span, and 227- feet in height: the other arches vary from 21 feet ten inches, to 72 feet in width. The total length of the piers and arches is 2,464 feet. The expense of erecting this work, and keeping it in repair, has hitherto been defrayed by the trifling rate of one rey on every pound of meat sold in the markets of Lisbon. In France, besides the Roman structures already noticed, there are many bridges of more recent date, remarkable both for their size and the boldness of their construction : among these may be mentioned the bridge of Neuilly, built between the years 1768 and 1780, by M. Perronet. It crosses the Seine, on a line with the grand avenue of the Champs Elysécs, in the front of the Tuilleries; it is level on the top, and consists of five equal arches, 120 feet French (128 feet English) in the span, with a rise of 30 French feet (32 feet English). The piers are 14 feet thick, and the bridge itself 48 feet broad. The arches, which are elliptic, are composed of 11 arcs of circles, of different diameters : the upper portion of the arch was formed with a circle of 160 feet radius, which, by its settlement during the building and after remo- ving the centres, became flattened to an arc of a circle of 259 feet radius, differing so little from a platband, that the rise of the curve in a length of 33 feet, amounts to no more than six inches nine lines. At Mantes is a bridge of three arches, likewise over the Seine. It was begun in 1757, by M. Hupeau, and finished by M. Perronet. The centre arch is 120 feet French (128 feet English) in the span ; the side arches are each 12 feet less. The piers are 251; feet wide, and the abutments 29 feet thick. 1n the year 1771, M. Regemortes constructed a flat bridge over the river Allier, at Moulins, consisting of 13 semi-ellip- tical arches, of 64 feet span each, and 24 feet high. Over the river Oise, on the great road from Paris into Flanders, is the bridge of St. Maxence, 41 feet wide, built by M. Perronet. The arches, three in number, each describe the segment of a circle, whose radius is 118 feet, leaving a water-way of 77 feet. The piers are singularly Constructed ; each being composed of four cylindrical pillars, nine feet in diameter, leaving between them three spaces or intereolum- niations, which are arched over; those on the outsides are closed with a thin walling, and the middle one is left open. The last foreign bridge we shall notice, is that of Orleans, over the Loire, built by M. Hupeau, between the years 1750 and 1760. It comprises nine oval arches, described from three centres, which spring at 12 inches above low water. The middle arch is 106 feet in span, with a rise of 30 feet ; the extreme arches at either end, are each 98 feet wide, and 26 feet high; the intermediate arches increase gradually in dimensions as they approach the centre. The four middle piers are 19 feet wide; the others, 18 feet each; and the abutments 23%,- feet thick; making the whole length of the bridge 1,100 feet. \Ve come now to speak of bridges in our own country, beginning with those of the greatest antiquity. The Gothic triangular bridge at Croyland, Lineolnshire, is supposed to be the most ancient structure remaining entire in the king- dom. It was erected about the year 860, but for what pur- pose, it is difficult, if not altogether impossible to determine ; it is, however. obvious that utility was not the motive of the builder ; though it may be allowed to claim the qualities of boldness of design and singularity of construction, as power- fully as any bridge in Europe. It is formed by three semi- arches, whose bases stand in the circumference of a circle, equidistant from each other, and uniting at the top. This curious trizme formation has led many persons to imagine, that the architect intended thereby to suggest an idea of the Holy Trinity: nor is this improbable, considering the age in which it was built. The ascent on either side of the semi-arches is by steps paved with small stones, and so steep that foot-passengers only can go over the bridge. Horsemen and carriages frequently go under it, as the river is in that place but shallow. Although this structure has been built for so many centuries, the arches are still sound and free from fissures, and the building in general exhibits very trifling marks of decay. The bridge of Burton-upon-Trent is 1,545 feet in length. It consists of 34 arches, all of free-stone, and is strong and lofty. It was erected in the 12th century, by Bernard, abbot of Burton. Near Old Aberdeen is a celebrated Gothic bridge, over the river Den. The centre arch of the bridge at York is 82% feet wide, and 27 feet high. At W'inston, Yorkshire, is a bridge of a. single arch, 108 feet nine inches in width, built of rubble stone, for the small cost of £500. It was designed by Sir Thomas Robinson, and built by John Johnson, a common mason, of lValsingham, in the year 1762. At Kelso, is an elegant stone bridge over the Tweed, built by Mr. Rennie. It is quite level at the top,‘ having five elliptical arches, each of 72 feet span; every pier has a circular projection, on which stand two Doric pilasters, supporting a simple block cornice. This bridge cost about £13,000 exclusive of the new roads at each end, which cost about £3,000 more. Mr. Rennie also constructed the aqueduct bridge over the river Lune, at Lancaster, which is considered as one of the most magnificent works of the kind extant. At the place where it is built, the water is deep and the bottom bad : the foundations are therefore laid 20 feet below the surface of the water, on a flooring of timber resting on piles. The arches are five in number, of 70 feet span each,'and rise about 39 feet above the surface of the water. It has a hand- some cornice, and every part is finished in the best manner. The total height from the surface of the river, to that of the canal, is 57 feet; and the canal admits barges of 60 tons burden to navigate upon it. The foundation alone of this building cost £15,000 and the superstructure more than double that sum, although the stone was obtained from a quarry less than a mile and a half from the spot. The bridge over the Pease, or Peaths, between Dunbar and Berwick-upon-Tweed, is rather an uncommon structure. It crosses a deep ravine, and consists of four semicircular arches. The arch on the east side of the ravine is 54 feet wide ; the second 55 feet; the third 52 feet ; and the fourth, or western arch, 48 feet. From the bottom of the ravine to the surface of the road, the height is 124 feet. It was designed and built by the late Mr. D. Henderson, of Edinburgh. The bridges of Edinburgh are built, not over water, but over dry land. They are distinguished by the name of .ZVort/z Bridge and South Bridge, and afford an easy com- munication between the New Town and the royalty and suburbs on either side of it. The Noith Bridge, which forms the main communication between the Old and New Towns, was projected in the year l763; but the contract for build ing was not signed till the 2lst of August, 1765. The BRI 61 BRI architect was Mr. William Mylne, who agreed with the town-council of Edinburgh to finish the work for £10,140, and to uphold it for ten years. It was also to be finished before Martinmas, 1769; but on the 8th of August that year, when the work was nearly completed, the vaults and side walls on the south fell down. This misfortune was occasioned by the foundation having been laid upon the rubbish of the houses which had long before been built on the north side of the High-street; and which had been thrown out into the hollow to the northward; of this rub- bish there was a depth of no less than eight feet between the foundation of the bridge and the solid earth. Besides this deficiency in the foundation, an immense load of earth, which had been laid over the vaults and arches, in order to raise the bridge to a proper level, had, no doubt, contributed to produce the catastrophe above-mentioned. The bridge was repaired by pulling down some parts of the side walls, and afterwards rebuilding them; strengthening them in others with chain bars; removing the quantity of earth laid upon the vaults, and supplying its place with hollow arches, 8:0. The whole was supported at the south end by very strong buttresses and counterforts on each side; but on the north it has only a single support. The whole length of the bridge, from High-street, in the Old Town, to Princes-street, in the New Town, is 1,125 feet; the total length of the piers and arches, is 3l0 feet. The width of the three great arches, is 72 feet each; of the piers 13% feet; and of the small arches, each 20 feet. The height of the great arches, from the base to the top of the parapet, is 68 feet; the breadth of the bridge, within the wall over the arches, is 40 feet; and the breadth at each end, 50 feet. The South Bridge is in a line with the North Bridge, so as to make but one street, crossing the High-street almost at right angles. It consists of twenty- two arches of different. sizes ; but only one of them is visible, viz. the large one over the Cow-gate; and even this is small in comparison with those of the North Bridge, being no more than 30 feet wide, and 31 feet high. On the south, it ter- minates at the University on one hand, and the Royal Infirmary on the other. The aqueduct bridge at Glasgow, over the river Kelvin, which conducts the great canal from the Forth to the Clyde, is the work of that great engineer, Mr. Smeaton. Its length between the abutments, or land-piers, is 245 feet; the arches, which are four in number, are each 50 feet in span, rising 15 feet 3 inches, from 15% feet above the footing of the piers; the three piers are each 15 feet thick, and 54 feet high, ex- clusive of the footing. The extrados is a straight surface for the canal. This bridge is constructed upon true mechanical principles, and the parapet is recessed opposite to the arches in order to resist the pressure of the water in the canal. The land-piers are also ingeniously contrived to be concave out- wardly, so as to spread out at the base. The bridge at Perth was erected between the year 1766 and 1771, according to a plan by Smeaton, under the patronage of the late Earl of Kinnoul. It consists of ten arches, one of which is a land arch. The clear water-way is 589% feet; the extent of all the arches, 730% feet; and the wing-walls 176 feet: so that the total length of the bridge is 906%,i feet. The expense of building amounted to £26,446 125. 3d. and was defrayed by public subscription. Blenheim bridge consists of three arches, the chief of which is 101% feet in the span. Oneofthemostextraordinarybridgesin Great Britain, is that over the Tafl“, near Llantrissent, in Glamorganshire, called by the \Velch Pont-y-tgi-Pridd. It is the work of William Edwards, an uneducated mason of the country, who engaged, in 1746, to erect a new bridge at this place, which for R elegance of design, and neatness of execution, surpasses any thing-ofthe kind throughout the Principality. The description and history of the progress of this bridge, we shall borrow from Mr. Malkin‘s Tour in South FVales: “It consisted of three arches, elegantly light in their construction. The hewn stones were excellently well dressed and closely jointed. It was admired by all who saw it. But this river runs through a very deep vale, that is more than usually woody, and crowded about with mountains. It is also to be considered, that many other rivers, of no mean capacity, as the Crue, the Bargoed Taff, and the Cunno, besides almost numberless brooks, that run through long, deep, and well-wooded vales or glens, fall into the Tafl', in its progress. The descents into these vales from the mountains being in general very steep, the waters, in long and heavy rains, collect into these rivers with great rapidity and force, raising floods, that in their description would appear absolutely incredible to the inhabitants of open and flat countries, where the rivers are neither so precipitate in their courses, nor have hills on each side to swell them with their torrents. Such a flood unfor- tunately occurred soon after the completion of this under- taking, which tore up the largest trees by the roots, and carried them down the river to the bridge, where the arches were not sufficiently wide to admit of their passage: here therefore they were detained. Brush-wood, weeds, hay, straw, and whatever lay in the way of the flood, came down, and collected about the branches of the trees, that stuck fast in the arches, and chokedthe free current of the water. In consequence of this obstruction, a thick and strong dam was formed, and the aggregate of so many collected streams being unable to get any farther, the waters rose to a pro- digious height, and by the force of their pressure carried the bridge entirely away! Edwards had given security for the stability of his bridge during the space of seven years; it had stood only about two years and a half; of course he was obliged to erect another, and he proceeded on his duty with all possible speed. The second bridge was of one arch, for the purpose of admitting freely under it whatever incum- brances the floods might bring down. The span or chord of this arch was 140 feet; its altitude 35 feet; the segment of a circle, whose diameter was 170 feet. The arch was finished, but the parapets were not yet erected, when such was the pressure of the unavoidably ponderous work over the haunches, that it sprang in the middle, and the key-stones were forced out! This was a severe blow to a man, who had hitherto met with nothing but misfortune in an enterprise which was to establish or ruin him in his profession. \Villiam Edwards, however, possessed a courage which did not easily forsake him; he engaged in it a third time, and by means of cylindrical holes through the haunches, so reduced their weight, that there was no longer any danger to be appre- hended. The second bridge fell in 1751; the third, which has stood ever since, was completed in 1755.” The breadth of this bridge is about 11 feet in the widest part: but in order to strengthen it horizontally, it is contracted towards the centre by seven off-sets, so that the road-way is there one foot nine inches narrower than at the extremities. It consists of a single arch, HO feet in width, forming the seg- ment of a circle of 175 feet; its height is 35 feet. This arch is between 40 and 50 feet wider than that of the cele- brated Rialto, at Venice, and its additional altitude only in proportion. In each haunch are three cylindrical openings running quite through, from side to side, like circular wi'n- dows: the diameter of the lowest is nine feet; of the middle one, six feet; and of the uppermost, three feet. Besides the bridges already mentioned, there are other neat and elegant structures in various parts of Great * ___ , v _,_.7 BRI 62 BRI Britain and Ireland. In the latter kingdom, we cannot refrain from noticing the bridge over the Liffey, above Dublin, called Sarah, or Island Bridge, built in the year 1792, by Mr. Alexander Stevens, a mason of Edinburgh. It consists of a single elliptical arch, 106 feet wide, rising only 22 feet; and is consequently six feet wider than the Rialto, at Venice, and one foot less in altitude. The city of Dublin has likewise five other bridges over the Litfey, of which the two following are particularly worth notice: Arran, or Queen’s Bridge, originally erected in the year 1684, but being destroyed by a flood in 1763, was rebuilt of hewn stone, and finished in 1768. It is built in a handsome light style, and consists of three arches, with paved ban— quettes for foot-passengers, on each side of the carriage-way, guarded with stone balusters. The other is Essex Bridge, first built in 1681, taken down in 1753, and rebuilt after the model of Westminster Bridge. It has five arches, the buttresses between which, support semicircular niches, pro- jecting from the parapet; between these niches are balus- trades, which are continued to the ends of the bridge. The foot-ways are flagged, and the whole is constructed of hewn stone, in very fine taste. We come now to those magnificent examples of bridge archi- tecture, equalling any that the Romans have left, and surpass- ing all others in the world—the bridges of London. Each of these noble structures may be considered almost perfect in its kind, and as affording a specimen ofthe application in its gran— dest form, of the peculiar material of which it is constructed. Four of these fine bridges are built of stone—namely, London Bridge, Blackfriars Bridge, Waterloo Bridge, and \Vestminster Bridge. They will be fully described under STONE BRIDGE. Southwark Bridge, built of iron, under IRON BRIDGE. And the beautiful new bridge lately com- pleted at Hunger-ford, by Brunel, the celebrated engineer, under SUSPENSION BRIDGE. Among Bridges of I'Vood, (for the principles and methods of constructing which, see TIMBER BRIDGE,) the first that attracts our notice is the bridge of Caesar across the Rhine. It consisted of a double row of piles, leaning to the course of the stream, and joined together at the distance of two feet from each other. Forty feet lower down the river, was another double row of piles, leaning against the stream, and towards the former row. Between the double piles, which were well rammed into the bed of the river, long beams, two feet thick, were placed, and held fast at each end by two braces. These beams being joined by transverse pieces, the whole was surmounted with hurdles. To preserve this struc- ture from injury by the force of the water, the supporters were guarded with piles as buttresses; and above the bridge, other piles were placed, to stop the progress of trees or timber, which by accident might fall into the river, or be designedly floated down by an enemy, to destroy the work. The bridge over the Cismone, a river falling from the mountains which separate Italy from Germany, is described by Palladio as an interesting object to the builder and architect. The river where this bridge is erected is 100 feet wide; and because the current is very rapid, and great quantities of timber are floated down it by the mountaineers, the bridge was constructed of a single span. The width is divided into six equal parts, and at the end of each part, except at the banks, which are strengthened with pilasters of stone, are placed the beams that form the breadth of the bridge. On these, leaving a little space at their ends, other beams are placed lengthwise, constituting the sides. The king-posts are disposed on either side, over both beams, connected with the projecting ends of those forming the breadth, by means of iron bolts and pins. At Wittengen, in Switzerland, is a very curious bridge. the contrivance of Ulrick Grubenhamm, an uneducated car- penter of Tutfen, in the canton of Appenzel, celebrated for several works of the same nature. It consists of two wooden arches parallel to each other, with the roadway hanging between them. The span is 230 feet, and rises only five feet. The arches approach the catenarian shape, and are built of seven courses of solid oak logs, in lengths of 12 or 14 feet, and 16 inches and upwards in thickness. By picking these logs of a natural shape suited to the intended curve, the wood is nowhere trimmed across the grain. The logs being laid one upon the other, with their abutting joints carefully alternated, have the appearance of a wooden wall: instead of being pinned together, they are surrounded with straps of iron, at every distance of five feet, and fastened by bolts and keys. The abutments are the natural rock. The road-way intersects these arches at about the middle of their height, and is supported by cross joists, resting on a long horizontal beam, connected with the arches on either side by uprights bolted into them. Three of the spaces between these uprights have struts or braces, giving the upper work a sort of trussing in that part. The whole is covered with a roof, projecting over the arches on each side of the roadway, to defend the timbers from the injuries of the weather. This bridge is of more than sufficient strength to bear any load that can be laid upon it, though the attempt to truss the ends demonstrates that the builder was ignorant of true architec- tural principles. "In I754, Grubenhamm erected another bridge, upon a plan nearly similar to the foregoing, at Schaffhausen, where the river (the Rhine) is nearly 390 feet wide. The current is very rapid at this spot, and had destroyed several stone bridges, when Grubenhamm offered to throw a wooden bridge across, of a single span; but the magistrates were alarmed at the proposition, on account of the breadth of the river, and would scarcely listen to it: at last they consented that he should build a bridge, provided he would divide it into two spans, and use the middle pier of the late stone bridge as a support at their junction. Grubenhamm complied with the wish of the magistrates, so far as to divide his bridge into two unequal parts, the span of the one being 172 feet, and of the other, 193, both appearing to rest upon the old pier, though he contrived to leave it doubtful whether they really did so or not. This structure cost £8,000 sterling, and travellers inform us, that though it sustained the most heavily laden waggons in perfect security, yet the weight of a single foot-paSsengel‘ caused it to tremble under him. It was destroyed by the French, when they evacuated Schafi'hausen, in April, 1799. Among wooden—bridges, the Schuylkill bridges at Philadel- phia, in America, are very remarkable. \Vooden-bridges, unsupported by posts or pillars, and sus- tained only by butments at the ends, have obtained the deno- mination of I’mdmt or [{anging Bridges, by some also called Philosophical Bridges, of which Palladio has described three modes of erecting; such is the bridge over the Cismone, already described. Doctor “rallis has likewise given the design of a timber bridge, 70 feet long, without any pillars, which may be useful where supports cannot be conveniently erected; and Doctor Plott assures us, that formerly there was a large bridge over the castle ditch at Tutbury, in Stafford- shire, made of short timbers, none of them above a yard in length, yet not supported from beneath, either by pillars or arches. The Spaniards use bridges of this kind for crossing the torrents of Peru, over which it would be difficult, not to say impossible, to throw more solid structures, either of wood or stone. Some of these hanging-bridges are sutliciently strong 1””... NITIII. . _ 3.. 6.5.3.7! - w 2.1!: .. —--‘ .-_ -r , 7.. C ._ .r 6. ,/ x. 4 2 VIII! I |_|. I. I. I. .l_.l..I. l..l..l‘l.|_l.lwfil.l '.‘. -z. ESE. $.43... \4«\\\; I \¥“V 75.30: H TJM lflfierfimp .?V. C .m1\>\QL w. .kquuENmNANLemWNN AM‘QK .,.m.m..,¢..m\§\ Rm QWRQNMNN _ . . . .Kszfixm xmbmx mmh mm>® mwfimfim , 3 2.33.: .i....§...§ zwgwma gimmg 8244......» . . saw“ u ,‘I. BRI 63 BRI and broad for loaded mules to pass along them with safety. In China, these flying bridges are constructed of an almost incredible magnitude; the Philosophical T ransactions contain the figure of one, consisting of a Single arch, 400 cubits long, ' 0 in hei ht. anifigficat charlie in modern bridge-building has been effected by the introduction of iron, and the use of chain onsuspen- sion-bridges. The invention of Iron Bridges is said to be exclusively English, but Duhalde gives the merit of it to the Chinese; be that as it may, there is no country where there has been so extensive an application of the discovery, or in which has been erected so many fine bridges of iron as in Great Britain. The first was set up at Colebrook Dale, Shropshire, in the year 1797, and was speedily succeeded by numerous others in all parts of the United Kingdom; for a description of which we must refer to IRON BRIDGE. Draw Bridges are of wood or iron, sometimes of both, with stone abutments. They are placed over navigable canals and rivers, or used in fortified places for the purpose of shutting out the enemy, and are of varied construction. Some are fastened at one end by hinges, so that the other end may be raised or lowered at pleasure. The most common method of doing this is by a kind of balance, called plgers, in which case the bridge when drawn up stands erect, to preclude a passage across a. moat, 8L0. Others are so constructed as to be drawn back, or thrust forward, as occasion may require. On small canals, &c., draw-bridges consist of one leaf only; but on larger navigations, wet-docks, &c., they are of two pieces, meeting in the middle, and forming an arch, which are raised or lowered by means of balance frames, movable on the tops of uprights suited in height to the magnitude of the bridge; such as that at Bristol, over the Frome. Such bridges, how- ever, having been found inconvenient from their tackling catching the yards and rigging ofvessels passing through them, a kind of bridge, diverse from all the preceding, has been in- vented, called a Swivel Bridge: these, on small rivers, are only of one frame, or leaf, and turn on a centre, or series of balls or rollers; but when made on a wider scale, they consist of two parts, one 011 each side of the channel, and meeting in the centre. The most complete of this kind are those con— structed at the VVest-India and London Docks; the latter spans 40 feet, and is 15 feet wide in the road-way. It con- sists of cast-iron ribs, about 1% inch thick, turning on a num- ber of concentric rollers, which move between two circular east—iron rings, very nicely turned : each leaf has a flap, which lets down by a screw, and abuts upon the stone-work on either side, forming the whole bridge, when shut, into an arch capable of bearing any weight that can possibly pass over it. The whole apparatus weighs 85 tons; but it moves with so muuh case, that it can be opened and shut in less than three minutes. Suspension Bridges have only lately been introduced into this country, though known to the Chinese from a very early period. The iron-chain bridge of Yunnan is supposed to have been erected about A.D. 65, in the reign of the emperor Mingus, and is described as very similar in principle to the Hammersmith Suspension Bridge near London. In Kircher’s ('liina Illustrata, it is stated, that the chord-line is of the length of 200 cubits. In the Asiatic Researches, Turner gives a very interesting account of the singular bridges erected by the natives of Bootan. These bridges are of varied construction, but admirably adapted to the circum- stances for which they are intended. Over the widest river in Bootan, there is an iron bridge, consisting of a number of iron chains, which support a matted platform; and two chains are stretched above, parallel to the sides, to support a matted border, which is absolutely necessary for the safety of the passenger, who is certainly not quite at his ease till he has landed from this swinging, unsteady footing. At another place, a bridge for foot-passengers is formed of two parallel chains, round which creepers are loosely twisted, from which planks are suspended, the end of one plank resting upon the other without being confined. In the rude suspension bridge of South America, with its ropes of twisted bark, and its platform of cross pieces of wood interwoven in them, or the platform attached imme- diately to the sustaining ropes, the form assumed, the cate- narian curve, is the same as in the more perfect structures of modern times—and one traces easily the transition from the simple but effective contrivance of the untutored Indian, to the master-pieces of the genius of a Telford. See SUSPEN- SION BRIDGE. Bridges of Boats are made of boats, either of copper, tin, or wood, fastened across the stream by means of anchors or stakes, and laid over with planks. The earliest instance upon record of this kind of bridge, was that laid by Darius Hystaspes over the Ister, or Danube, in his Scythian expedi- tion, 508 years before the Christian era. The same monarch also crossed the Thracian Bosphorus with 700,000 men, by means of a bridge of boats; the strait being five stadia, or 1,008 yards in width. Modern armies carry with them tin or copper boats, called pontoons, to be ready on any emer- gency: several of them, placed side by side, across the river, till they reach the opposite shore, with planks laid upon them, form a plane for the soldiers to march on. At Beaucaire, Rouen, and Seville, are very fine stationary bridges of boats, which rise and fall with the tide: that at Rouen is nearly 300 yards long, and paved with stone, so that laden carriages and horses, as well as foot-passengers, go over it in safety. In the absence of pontoons, military bridges have been made of blown bladders, hollow casks, sheaves of rushes, 8:0. covered over with planks. When bridges of this kind do not extend over the whole breadth of the river, but are contrived to float from one side to the other, they are termed Flying or Floating Bridges. A bridge of this description is generally composed of several boats connected with each other by a flooring of planks, and surrounded by a railing. This stage or raft is furniShed with one or more masts, according to its dimensions, to which is fastened a strong cable, supported at proper dis- tances by boats, and extending to an anchor, in the middle of the water, where it is made secure. The bridge thus becomes movable, like a pendulum, from one side of the river to the other, with the assistance only of a rudder. Such bridges were formerly sometimes constructed of two stories, for the more expeditious passage of a great number-of men. Another kind of flying bridge is formed of two platforms, laid one upon the other, and by means of cords and pullies the uppermost is made to run out beyond the lower platform, till its farther extremity rests against the place it was designed to reach. In the Histoire de l’Acadc’mie Rogale des Sciences, for the year 1713, page 104, is a description of a floating bridge, which lays itself on the opposite side ofa river. Under this head we have now to describe one of the most useful and ingenious constructions of modern science and engineering skill—the steam Floating Bridge invented by Mr. J. M. Rendel, the eminent civil engineer. The first bridge on this principle was erected by Mr. Rendel across the estuary of the Dart at Dartmouth, about the year 1832, and a similar one was established about two years after, across the Hamoaze, between Torpoint and Devonport. A very full description of the latter, accompanied by elaborate drawings, has been furnished to the Institution of Civil Engineers by Mr. Rendel himself, and from the first BRI 64 BRU volume of the “Transactions” of the Institution, we have extracted the following brief sketch. The medium width of the river at the site of the bridge may be taken at about 2,350 feet, the strength of the current after heavy land-floods is very great, and the site so much exposed, that it is not uncommon for the ships lying in the vicinity of the bridge to drag their moorings. The bridge is a large flat-bottomed vessel, of a width nearly equal to its length. The vessel is divided in the direction of its length into three parts—the middle one being appropriated to the machinery—each of the side divisions to carriages, 8w. These side divisions or decks are raised about 2 feet above the line Of flotation, and by means of movable platforms, an easy communication is afforded with the shore on embarking or landing. The bridge is guided by two chains, which passing through it over cast-iron wheels, are laid across the river and fastened to the opposite shores, forming as it were a road along which the vessel travels backwards and forwards. The moving power employed is two small steam-engines turning a shaft, on each end of which is a large iron wheel whereon the guide-chains rest. The peripheries Of these wheels are cast with sockets fitted to the links of the chains, so that when the bridge is put in motion by the steam- engines, it is moved in the reverse direction of, and with the same velocity as the wheels. The ends of the chains have balance-weights attached to them, which rise or fall as the tension of the chains becomes more or less. A similar bridge has been established at Portsmouth, and plies between that place and Gosport. Under this article we may also mention Portable Bridges, which are easily taken to pieces, and as readily put together again. M. Couplet speaks of a bridge of this kind, 200 feet long, carried by 40 men. Writers on architecture have bestowed considerable atten- tion on the subject of bridge-building, which isjustly esteemed as one of the most noble and striking specimens Of human art. The earliest of these is Alberti, a native Of Florence, who flourished about the middle of the 15th century ; he has given several judicious precepts, which, with little alteration, were afterwards laid down by Palladio, SerliO, and Scamozzi. The best Of these rules are likewise given by Goldman and Baukhurst, as well as by Hawkesmoor, in his History of London Bridge—M. Gautier has written a large volume on bridges, ancient and modern—M. Belidor has treated on this subject, in his Architecture IIydraulique; as has M. Parent, in his Essais et Recherchés flIat/iematiques, vol. iii.—De 1a Hire, too, has touched on it, in his Traité de Illechanique.—-Perronet has given the result of his expe— rience in a magnificent work, which has acquired him great credit in France.———Bosset has given an excellent treatise on bridge-buildin g, in the Mémoires dc l’Académie.—Regemortes published, in 1771, an account of the bridge built by him over the Allier, at Moulins—In 1760, Mr. Riou published a work, entitled, Short Principles for the Architecture of Bridges; and Mr. Semple has given some excellent prac- tical remarks in his Treatise on Building in PVater, published in 1776. Other writers on the construction and principles Of arches and bridges, are Muller, Labelye, Atwood, Emerson, and Dr. Hutton. When a bridge is constructed of stone, and arched over, it requires, in the act of building,.to be supported upon a mould, called a centre ,- the construction of which is shown under the article CENTRE. BRIDGE BOARD. See NOTCII BOARD. BRIDGE OVER: when there are any number of parallel timbers, and another piece fixed transversely over them, then the transverse piece is said to bridge over the other -———~«...._A —. parallel pieces. In framed roofing, the common rafters bridge over the purlins; likewise in framed flooring, the upper joists, to which the boarding is fixed, bridge over the beams or binding joists, and are therefore called bridging ozsts. J BRIDGE STONE, a. stone laid from the pavement to the entrance-door of a house, over a sunk area, not supported by an arch. BRIDGED GUTTERS, those made with boards, sup- ported below with bearers, and covered above with lead. BRIDGING FLOORS, those in which bridging joists are used. See NAKED FLOORING. BRIDGING JOIsrs, those which are sustained by transverse beams below, called bindingjoists; also those on which the boarding for walking upon is nailed or fixed. See NAKED FLOORING. BRIDGINGS, or BRIDGING PIECES. PIECES, and STRUTTING PIECES. BRING UP, a term used by workmen for carrying up the walls to a certain height: they say, “ bring up that part ;” but the term carry up is more frequently used. BROACH, an Old English term for a spire, still in use in the north Of England. The term is specifically applied to spires which spring directly from the eaves of the tower See STRAINING . or other substructure, without the intervention of a parapet. - This kind of spire is confined more especially to the earlier styles of Gothic architecture ; in the later ones, the parapet is seldom dispensed with. BROAD-STONE, the same as FREE-STONE. BRONZE; a compound Of copper and other metals, especially zinc. It is used for cannon, medals, 8m. BRONZE also denotes any piece of sculpture made of bronze metal, as statues, busts, &c., whether in imitation of the antique, or representing a modern prototype. The method Of casting bronzes is described under CASTING. BROWN, a dusky colour inclining to redness. Of this there are various shades, distinguished by different appella- tions, as Spanish brown, sad brown, tawny brown, London brown, and close brown. Spanish brown is a dark dull red, [of a horseflesh colour, ofgreat use to painters, being generally used in house-painting, for priming the timber work, or first coating. The best is that of a deep colour, and free from stones. It is best and brightest when burnt in the fire till it is red-hot. The various browns used in drawing are BISTRE, COLOGNE EARTH, and UMBER. BRUNELLESCHI, PHILIP, the son of a notary, born at Florence in 1377, was at first designed for the bar; but not liking that profession, he was apprenticed to a goldsmith. His genius, however, turned him to the study of sculpture, geometry, and architecture. The first model by which he 1 formed his taste in architecture was the church of St. John, " at Florence, a building of good style, and much inclining to the antique; he afterwards went to Rome, to study the ancient monuments there, the best of which he measured , and took drawings from; and he is said to have first dis- tinguished the three ancient orders. \Vhen the Florentines first thought of raising a dome upon the church of St. Mary del Fiore, they invited all the. prin- cipal architects of Europe to a consultation, at which Bru- nelleschi proposed a double cupola, with a space between the inner and outer vaults, sutlicient to admit of staircases and passages to the top. This idea was deemed so preposterous, that he was actually turned out of the assembly, for having presumed to insult the good sense and judgment of so many experienced artists, who had never heard of such a thing, and held it to be impracticable. Undaunted by this treat- ment, Brunelleschi persisted in maintaining the practicability éfilwfififingfiap EZEV fig FEMZ if? @1353. AVZ ‘T~_? 2 g 4 mg: _L/><\>< L L; T: 721:1: 23213:. A. __._, Jvi\\§\\ \\\\\\ \kxixl x,, C _._ ‘_. _ Z E .2 I < ’1 \ -- LATHLD BAX. A— T 1:11- 1. HPi TIT; EA, COX 5 "LIKES PLAN (VF \Z SUPU .GilEer: b :12. “mg . ._ _,__~. pk,"- BYZ 71 BYZ and transepts, at last became so general, that externally you could scarcely discover a straight line towards the summit of the building. The churches of “ the Almighty,” and of the monastery at Constantinople, which still preserve the roof of this period, ofi‘er remarkable examples of this combination of vaulting; and the method, which was employed in a great number of instances, is still to be seen in most of the isles of the Archipelago. In this period the domes were increased in number, and at last were carried even over the porch; the side facades follow the same form as the principal one, and the rear end of the edifice terminates in a polygonal apsis, pierced with windows of two or three compartments. In the interior decoration mosaics took the place of the marble slabs previously employed, which were retained only in the surbasements. The nave was simplified ; square piers were substituted for columns, which gradually disappeared, and the pendentives were modified and somewhat varied. The vaults were divided by horizontal rings, and decorated with paint- ings; the centre of the cupola being occupied by a colossal head of Christ, surrounded by angels. The domes belonging to the latter portion of this period differed from the preceding, inasmuch as the windows encroached upon the spherical part, whereas before they had been confined to the base. This second period, as may readily be seen, added greatly to the embellishment of Byzantine architecture, and eventually con— siderably modified its character. In the third period, the systems of Italy and Greece were united; the division indeed owes its origin, in a great mea- sure, to the Roman basilica, as is manifested by the gable ends of the wall showing the inclination of the roof. Athens furnishes a number of examples, in which the influence of \Vestern type is particularly noticeable. The galleries for females were now dispensed with, and a portion of the area of the church set apart for their service in the transepts. The influence of this new mode, however, was more especially shown in the profusion and richness of the ornaments em- ployed in the details of the buildings. Paintings in fresco took the place of mosaics, and were multiplied to such an extent, that at last the very marble which previously adorned the surbasement, was imitated by this means. Semicircular vaults covered the whole length of the church; the windows were closed up with slabs of stone or marble, pierced with small circular apertures to admit light; and the doors began to be of more elaborate work- manship; the interior arrangement remained the same as before. This last period, which has been said to end with the invasion of the Turks, may be considered as continuing for some time longer, during which the arts remained sta- tionary in Greece, up to the period of the last war of inde- pcndcnce. It now only remains to give some description of a few of the churches which have been alluded to in a previous part of this article: we cannot do better than commence with that of S. Sophia, which forms a fair type of the whole style. The following extract is taken from the Encyclopedia zlletropolituna :—- ‘ “The cathedral of S. Sophia, at Constantinople, which had been built by Constantine, having been twice destroyed by fire, was rebuilt finally by Justinian, about A.D. 532. His architect, Anthemius, gave the design, and the emperor every day superintended the work, which was completed in about six years from the time of laying the foundation; the magnificence of the edifice so well satisfied the emperor, that he is said to have glorified himself with the reflection that in it he had exceeded Solomon himself. “ The plan of the interior is that of a Greek cross, the four arms of which are of equal length; the central part is a square, the sides of which are each about 115 feet long. At each angle of the square a massive pier‘of travertine stone has been carried to the height of 86 feet from the pavement, and four semicircular arches stretch across the intervals over the sides of the square, and rest upon the piers. The interior angles between the four piers in the central square are filled up, from the springing points of the four arches, in a concave form, to a horizontal plane passing through their vertices, which are at 143 feet above the pave- ment; so that, at the level of the vertices, the interior edge of the part filled up becomes a circle, the diameter of which is equal to the side of the central square. Upon this circle, as a base, is raised the principal dome, the form of which is that of a segment of a sphere, which is said to be equal in height to one-sixth of the diameter of the base. On both the eastern and western sides of the square, in the centre of the church, is a semicircular recess, the diameter of which is nearly equal to the side of the square; it is carried up to the same height as the piers, and terminates in a half-dome, or quadrant of a sphere, its base restng upon the hemi- cylindrical wall of the recess, and its vertical side coinciding with the arch raised between the piers on the face of the building; the flat side of each recess and dome being open towards the interior of the church. These quadrantal domes were intended to resist the lateral thrust of the arches raised on the northern and southern sides of the church, but ’they were found insufficient, for the arches pushed away the half—dome on the eastern side twice, and it could only be made to stand by constructing the great dome of pumice stone and very light bricks obtained from Rhodes, by filling up the arches with others of smaller dimensions, and by carrying an enormous arch-buttress from a massive wall beyond the building to the foot of the dome. “ At the extremities of the semicircular recesses, in a line running east and west through the centre of the church, are smaller recesses, the plan of one of which terminates in a semicircle, and of the other in a right line; these recesses are built to the height of the springing of the four principal arches, and are crowned by quadrantal domes, which, as well as the recesses, are open towards the interior. In each of the two principal hemicylindrical recesses between the great piers, and the other recesses just mentioned, are formed two other cylindrical recesses, open towards the interior, and covered by quadrantal domes. All the recesses and domes are perforated by rows of small windows to obtain light. “ On both the northern and southern sides of the square, in the interior of the church, is a grand vestibule forming a square on the plan; the roof of each consists of three hemicylindrical vaults extending from north to south, and of another vault of the same kind crossing the former at right angles through the middle, and forming, by their inter- sections, three groined arches; these vaults are supported by massive pillars, which have bases, but no plinths; the upper part of their capitals resemble the volutes of the Ionic order, but the lower part seems to be a barbarous imitation of the Corinthian base. Above these vestibules are galleries exactly similar to them, and, probably, appropriated to women during the performance of divine Service. The whole church is surrounded by Cloisters, and enclosed by four walls, forming one great rectangle on the plan. The exterior does not correspond with the internal grandeur of the edifice, being surrounded by clumsy buttresses. The entrance is by a portico as long as the church, and about 36 feet wide; this is ornamented with pilasters, and com- municates with the interior by five doorways of marble, sculptured with figures in bats-relief. Contiguous to this P BYZ 72 BYZ vestibule, and parallel to it, is another, which has nine doorways of bronze. “ After twenty years, the Eastern dome was thrown down by an earthquake, but it was immediately restored by the persevering industry of Justinian ; and it now remains, after a lapse of thirteen centuries, a stately monu- ment to his fame.” The next description, that of S. Vitale, Ravenna, is given by Mr. Gwilt, in his Encyclopaedia of Architecture. “ The exterior walls are formed in a regular octagon, whose diameter is 128 feet. Within this octagon is another concentric one, 54 feet in diameter, from the eight piers whereof—55 feet in height—a hemispherical vault is gathered over, and over this is a timber conical roof. The peculiarity exhibited in the construction of the cupola is, that the spandrils are filled in with earthen vases, and that round the exterior of its base, semicircular—headed windows are introduced, each of which is subdivided into two aper- tures of similar forms. Between every two piers hemi- cylindrical recesses are formed, each covered by a semi- dome, whose vertex is 48 feet from the pavement, and each of them contains two windows, subdivided into three spaces by two columns of the Corinthian order, supporting semi- circular-headed arches. Between the piers and the external walls are two corridors, which surround the whole building, in two stories, one above the other, each covered by hemi- cylindrical vaulting. The upper corridor, above the vault, is covered with a sloping or lean-to roof.” Mr. Hope adds the following particulars :—“ S. Vitale,” says he, “ built under Justinian in 53-1, announces itself at first sight as a work of Greek architects, and a kindred pro- duction with S. Sophia, and the others of Constantinople. Its form, round without, though octagonal within; its two tiers of arcades supported on pillars; its larger arcades or apsides, containing lesser arches or pillars; its square capi- tals, partly of basket-work, and its coating of Mosaic, at once complete the resemblance and establish the relationship.” The next descriptions, of S. Ciriaco, at Ancona, and S. Mark’s, Venice, are taken from Mr. Gally Knight’s beau- tiful work on the Ecclesiastical Architecture of Italy. “ Ancona was one of the towns of Italy which remained longest in the hands of the emperors of the East. Muratori informs us, that in the year 1174 Ancona was governed by an officer appointed by the Emperor Comnenus, and he adds, that the Emperor Frederick saw with impatience that rem— nant of Oriental power 'in the heart of the \Vestern Empire. These circumstances will sufficiently account for the plan and style of S. Ciriaco, which, constructed under the domi— nation of the Greeks, is Greek in all its parts. “ N0 certain record of the date of this building has been preserved, but from an inscription still extant, it appears that the bodies of SS. Ciriaco, Marcellino, and Liberio, Were deposited in the crypt of this church in the year 1097. Almost invariably, when the bodies of saints were trans- lated, a new church was prepared for their reception, and the translation usually took place when the building was suffi- ciently advanced for the performance of divine service, but before the work was entirely completed. \Ve further find, that Bernard, Bishop of Ancona, consecrated a high-altar in 1128, and that in 1189 Bishop Beraldus added a chapel, and encrUsted the walls of the interior of the church with marble. From all these circumstances, it may be inferred, that this cathedral was begun about the middle of the eleventh century, and completed in the course of the twelfth. It is highly probable that the Saracens, who landed at Ancona in 983, and committed extensive devas- tations, maltreated the cathedral, which was then in exist- L—v—xfl v.7-..__—_4._~___ ~_, — \\_ .._ A _. ence, and made it necessary to provide another in peaceable times. “ The cathedral was originally dedicated to S. Lawrence, and retained that name till so late as the fourteenth century, but finally the local favourite obtained the ascendant. The body of S. Ciriaco was originally imported from the East by the empress Galla Placidia in the fifth century, and by her deposited in the cathedral which then existed at Ancona. “ S. Ciriaco is on a large scale. The plan exactly repre- sents the Greek cross, and was probably supplied by a Greek architect. The centre of the building is surmounted by the Eastern cupola. The building appears to have been erected without any deviation from the original design, and for the most part remains as it was at first constructed. The prin- cipal porch, which projects boldly, and is enriched with numerous mouldings, must have been a subsequent addition, as the courses of the stones of which it is composed, do not correspond with those of the church. In the interior, pillars supporting round arches, divide the nave from the aisles. The capitals of these pillars imitate the Corinthian, and exhibit no admixture of the Lombard imagery, which, at the time when the cathedral was built, prevailed in the north of Italy. The cupola is supported by piers and arches. The arches under the dome are pointed, but are evidently alterations. These pointed arches may have been introduced by the celebrated architect, Margaritone, who flourished in the second half of the thirteenth century. Margaritone was very much employed at Ancona, and to him the entire con- struction of S. Ciriaco is attributed erroneously by Vasari. Margaritone may have added the porch. “The plan of S. Mark’s, like that of S. Sophia, is a Greek cross, with the addition of spacious porticos. The centre of the building is covered with a dome, and over the centre of each of the arms of the cross, rises a smaller cupola. All the remaining parts of the building are covered with vaults, in constructing which, the Greeks had become expert, and which are much to be preferred to the wooden roofs of the old basilicas. Colonnades and round arches separate the nave from the aisles in each of the four com- partments, and support galleries above. The capitals of the pillars imitate the Corinthian, and are free from the ima- gery which at that time abounded in the other churches of Italy. It is computed, that in the decoration of the build- ing, without and within, above five hundred pillars are employed. “ The pillars are all of marble, and were chiefly brought from Greece and other parts of the Levant. “’hilst S. Mark’s was building, every vessel that cleared out of Venice for the East, was obliged to bring back pillars and mar— bles for the work in which the republic took so general an interest. “ The external appearance of S. Mark’s is no less Byzan- tine than its interior, but less resembles S. Sophia from the increased numbers and elevation of its eupolas. Suc- ceeding generations endeavour to outstrip their predecesSors, and in the interval which had elapsed between the construc- tion of S. Sophia and that of S. Mark’s, the Greek archi- tects had multiplied the feature which had obtained so much admi ‘ation, and had sought to give it additional importance, and surmounted the hemisphere of the dome with a second cupola of wood covered with lead. This change was imparted to the Venetian copy. “ Another Byzantine feature is conspicuous in the exterior of the building in the tiers of round arches by which the flank walls are relieved. “'ith a. singular contrast to the habits of their forefathers, who inflexibly adhered to the horizontal, the Greeks of the lower Empire turned . W“ ' W. 1" ' 3" .‘ fl; . BTW, 1.4777 3 N E 1‘ 35% >51 1H! '1; ’1L' E 1’3 VI? 7Z7 PL 715. 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The front is on the same principle: a second tier of semi- circular arches rises over the portico, which consists of no less than five semicircular entrances decorated with numer- ous pillars; the summit is crowned with spiral and pyra- midal forms, partaking more of the character of the pointed style than of the round. Altogether, the exterior of S. Mark’s is a strange mixture, but it is venerable and pictu- resque.” The last description which we shall give is that of S. Theodore, at Athens ; it is extracted from M. Couchaud. “ Of all the churches which Athens possesses, S. Theodore is certainly the most complete, since it has three apsides, a dome and belfry; but the fresco painting in the interior has decayed. The altar-screen, the furniture, and the pulpit, have been replaced. It is constructed of a porous stone, separated by courses of brick; the only peculiarity which it offers is a frieze in terra cotta, running along the front facade, and the two side facades, which are pierced with doors of singular proportion, and having a horse-shoe-headed arch.” C. CAA CAABA, a part of the temple of Mecca, to which the Mahometans principally address themselves in prayer. It consists of a stone edifice, nearly square, and is said, by the followers of Mahomet, to have been first built by Abraham and his son Ishmael. The word is Arabic, caaba, and caabah; a name which some have given to this building, on account of its height, which exceeded that of the other buildings in Mecca ; but others, with more appearance of propriety, derive the name from its quadrangular form. This edifice is so ancient, that its original use, and the name ofits builder, are lost in a cloud of idle traditions ; it is not improbable, however, that it was built by some of the immediate descendants of Ishmael. But, whatever was the original destination of the building, it does not seem to have been a temple, as the door was not placed in the middle of the structure;'and for many ages there was no worship performed in it, though thepagan Arabs went in procession round it. It is most probable, however, that the Caaba was primarily designed for religious purposes ; and it is certain, that it was held in the highest veneration long before the birth of Mahomet. Having undergone several reparations, it was, a few years after his birth, rebuilt, on the old foun- dation, by the tribe of Koreish, who had acquired possession of it, either by fraud or force. It was afterwards repaired by Abdallah Eben Zobeir, the calif of Mecca; and again rebuilt by Yussof, surnamed Al Hejaj, in the seventy-fourth year of the Hegira, with some alterations, in the form in which it now remains. The length of the Caaba is twenty-four cubits, from north to south ; its breadth, from east to west, twenty-three cubits; the door, which is on the east side, is raised four cubits from the ground, and the floor is on a level with the threshold of the door. The Caaba has a double roof, supported by three nctangular pillars of aloes-wood. The outside of the building is covered with rich black damask, adorned with an embroidered band of gold, which is changed every year, and which is provided by the Turkish emperors. At some distance, the Caaba is surrounded, but not entirely, with a circular enclosure of pillars, joined at the bottom by a low balustrade, and towards the top by bars of silver. Without this enclosure, on the south, north, and west sides of the Caaba, are three buildings, which are the oratories, or places where three of the orthodox sects assemble to perform their devotions; and towards the south-east stands the edifice wl‘uch covers the well Zemzem, the treasury, and the cupola of A1 Abbas. All these buildings are enclosed, at a con- ciderable distance, by a magnificent piazza, or square colon- ~ U ,V__ ,_ha____v- 8“”,A" A CAI nade, covered with cupolas. From each angle of this piazza rises a minaret, with a double gallery, adorned with a gilded spire and crescent, as are the cupolas which cover the piazza. Between the pillars of both enclosures, hang a great number of lamps, which are constantly kept lighted by night. CABLE, a moulding of a convex circular section, rising from the back or concave surface of a flute, so that its most prominent part may be in the same surface as the fillet, on each side of the flute; the surface of the flute being that of a concave cylinder, while that of the cable is the surface of a convex cylinder, with the axes of the cylinders parallel to each other. A cable represents a rope or staff laid in the flute ; it is always shorter than the flute, and placed at the lower end‘of it. Cable mouldings of a somewhat different character are made use of in Norman architecture; they represent cables or twisted ropes, laid in mouldings of a concave circular section, and having one half or greater portion of their bodies exposed, and projecting from their beds. CABLED FLUTES, such flutes as are filled with cables. CABLING, the filling of flutes with cables, or the cables themselves so disposed. Cabling the flutes of columns was not in very frequent use in the works of antiquity. The flutes of the columns of the arch of Constantine are filled with cables to about one-third of the height of the shafts. Most of the columns in the ruins of Balbec, Palmyra, and Dioclesian’s palace at Spalatra, have neither flutes nor cables Cabling has sometimes been practised in modern times, without fluting, as in the church of Sapienza, at Rome. See FLUTEs. CAGE, in carpentry, an outer work of timber, enclosing other works within it; as, the cage of a stair, is the wooden wall that encloses it. I CAISSON, in water-building, a large chest of strong timber, made water-tight, and used in large and rapid rivers for building the pier of a bridge. The bottom consists of a grating of timber, so contrived as to be detached from the sides when necessary. The ground under the intended pier is first levelled, and the caisson being launched and floated to a proper position, is sunk, and the pier built as high as the level of the water, or nearly so ; then the sides are detached, and the bottom remains as a foundation for the pier. The most considerable work that has come to our know- ledge, where caissons have been used, is Westminster Bridge ; of this, therefore, a particular account may be acceptable. Each of the caissons contained 150 loads of fir timber, and more tonnage than a man-of-War of 40 guns; their size was —— nearly 80 feet from point to point, and 30 feet in breadth ; the sides, 10 feet in height, were formed of timbers, laid horizontally over each other, pinned with oak trunnels, and framed together at all corners, except the salient angles, where they were secured by proper iron work, which being unscrewed, would permit the sides of the caisson, had it been found necessary, to divide into two parts. These sides were planked across the timbers, inside and outside, with 3-inch planks, in a vertical position. The thickness of the sides was 18 inches at the bottom and 15 inches at the top; and in order to strengthen them the more, every angle, except the two points, had three oaken knee-timbers, properly bolted and secured. These sides, when finished, were fastened to the bottom, or grating, by twenty-eight pieces of timber on the out-side, and eighteen within, called straps, about 8 inches broad and 3 inches thick, reaching and lapping over the tops of the sides; the lower parts of these straps were dovetailed to the outer kirb of the grating, and kept to their places by iron wedges. The purpose of these straps and wedges was, that when the pier was built up sufficiently high above low-water mark, to render the caisson no longer necessary for the masons to work in, the wedges being drawn up, gave liberty to clear the straps from the mortises, in consequence of which the sides rose by their own buoyancy, leaving the grating under the foundation of the pier. The pressure of the water upon the sides of the caisson was resisted by means of a ground timber, or ribbon, H inches wide and 7 inches thick, pinned upon the upper row of timbers of the grating; and the top of the sides was secured by a sufficient number of beams laid across, which also served to support a floor on which the labourers stood, to hoist the stones out of the lighters, and to lower them into the caisson. The caisson was also provided with a sluice to admit the water. The method of working was as follows: a pit being dug and levelled in the proper situation for the pier, of the same shape as the caisson, and about 5 feet wider all round; the caisson was brought to its position, a few of the lower courses of the pier built in it, and sunk once or twice, to prove the level of the foundation ; then, being finally fixed, the masons worked in the usual method of tide-work. About two hours before low—water, the sluice of the caisson, kept open till then, lest the water, flowing to the height of many more feet on the outside than on the inside, should float the caisson and all the stone-work out of its true place, was shut down, and the water pumped low enough, without waiting for the low ebb of the tide, for the masons to set and cramp the stone-work of the succeeding courses. Then when the tide had risen to a considerable height, the sluice was opened again, and the water admitted; and as the caisson was pur- posely built but 16 feet high, to save useless expense, the high tides flowed some feet above the sides, but without any damage or inconvenience to the works. In this manner the work proceeded till the pier rose to the surface of the caisson ; when the sides were floated away, to serve at another pier. (Labelye’s Description of Westminster Bridge.) CAISSON, signifies also the sunken panel in a vaulted ceiling, or in the soflit of a cornice. CALATHUS, the work-basket of Minerva: also a hand- basket, made of light wood or rushes, used by the women for gathering flowers, after the example of ll'linerva. The figure of the calathus, as represented in ancient monuments, is narrow at the bottom, and widens upwards in its horizontal dimensions. Also a cup used in sacrifices. CALCAREOUS CEMENTS. See CEMENTS. CALCAItaous EARTH, a sort of earth which becomes friable by burning, and is afterwards reduced to a fine pow- CAL 74 CAM der by mixing it with water; it also efi'ervésces with acids. It is frequently to be met with in a friable or compact state, in the form of chalk. See LIMESTONE and GYPSUM. CALENDARIO, PHILIP, a celebrated architect and sculptor, who flourished at Venice about the year 1354, and constructed those beautiful porticos round the Palace of S. Mark, which established his fame. CALIBRE, or CALIBER, the greatest extent or diameter of a round body. CALIBRE Commssas, or CALLIPERS, a pair of compasses with bent legs, for taking the thickness of a convex or con- cave body in various parts. CALIDUCTS, (from calor, heat, and ducere, to lead.) pipes or canals disposed along the walls of houses and apart— ments, used by the ancients for conveying heat to the remote arts of the house, from one common furnace. CALLIMACHUS, a celebrated architect of antiquity, inventor of the Corinthian order. CALOTTE, a concavity in form of a cup or niche, lathed and plastered, to diminish the height of a chapel, cabinet, or alcove, which would otherwise be too elevated for the breadth. CAMAROSIS, (from xayapoew, to arch over,) an elevation terminated with an arched or vaulted head. CAMBl‘LR, an arch on the top of an aperture, or on the top of a beam ; hence camber windows. CALIBER BEAMS, those which are cut with an obtuse angle on the upper edge, forming a declivity each way from the middle of their length; they are used in truncated roofs, where, after being covered with boards, the boards are again covered with lead, in order to discharge the rain - water towards each edge of the flat, or platform. Cambered beams are employed in a multitude of situations where great strength is required. All beams which are so situate as to be subject to cross—strain should be camber-ed. Instances of cross-strain occur in bressummers, which are loaded with a wall, and of course are most affected by the gravity of its materials where the bearing is greatest, which will be in their mid-length. A weight applied in this man- ner will have the etfect of pressing the centre below the level of the ends of the beam, and thus fracturing the super— incumbent wall; and besides this, will tend to snap and tear asunder the timber; and although, on account of its great scantl‘ing, such an event rarely, if ever, occurs, yet it strains the beam in the direction of its length, a test which timber should not be subjected to. Moreover, in all cases where beams of any great length are employed, the gravity of the timber itself will weigh them down midway, even where they are subjected to no additional weight, as in the case of the tie-beams of a truss. In all these instances the diffi- culty may be obviated by cambering the timber upwards. This method not only ensures that the beam shall be level after settlement, but entirely alters the nature and operation of the force ; for whereas previously the beams were strained or extended, this tension, by the employment of a camber, is changed into a pressure, so that the tendency instead of being to tear the particles asunder, and thus weaken or break the. timber, is rather to press them more closely together, and render the beam firmer and more compact. Further, all timber is liable to shrinkage by the evapora- tion of the moisture which is always present in a greater or less degree, and thereby becomes of smaller dimensions than when first inserted in a building. This defect may be recti» tied as far as the length is concerned, by cambering to such a degree, that when the wood is completely dry, it may tall into a horizontal position, or nearly so. The extent to which the beam should be bent is a matter of nice calculation, and l l l l (JAN 75 CAP the regulation of it must be left to experience. In trusses the camber of the tie-beam should not be too great, as if so, it will tend to thrust out and derange the principals. When bressummers occur one above another, the higher ones should he cambered to a greater extent than those below, the camber increasing in direct proportion to the number of bressummers beneath it. CAMERATED, arched. CAMES, in glazing, small slender rods of cast lead, about 12 or 14 inches long, to be drawn through a vice, in order to make turned lead; each such bar is called a came. CAMP CEILING, a ceiling formed by one or more planes, with inclinations rising at an internal obtuse angle from the Sides of the apartment, and most frequently enclos- ing a level plane in the middle, in the manner of a coved ceiling. This kind of ceiling is chiefly used in garrets, where otherwise there would be a want of head-room. CAMPANA, the body of the Corinthian capital, otherwise called the vase or bell, from its figure. CAMPANILE, (from campana, a bell,) a bell-tower, chiefly in use among the Italians. It was sometimes a dis- tinct and separate building of itself; but more commonly adjoining to the church, so as to make a part of the fabric, usually at the west end. Several of these towers are remark- able for being considerably out of the perpendicular, of which those of Pisa and Bologna are the most celebrated. Campaniles were erected to a great height; that of Cre- moua, the highest in Italy, is 395 feet high; that of Flo- rence, built by Giotto, 267 feet, of a square plan, the sides of which are 45 feet in length. The leaning tower of Pisa is 150 feet in height, and 13 feet out of the perpendicular. CANAL OF THE IONIC VOLUTE, the spiral channel or - sinking on the face, which begins at the eye, in a point, and expands in width until the whole number of revolutions are completed. In the volutes of the Ionic order of the temples of Minerva Polias and Erectheus, at Athens, are several l:anals, which begin and end in the manner above described. CANAL is also used for a FLUTE. CANAL OF THE LARMIER, the channel recessed upwards on the sotiit, for preventing the rain-water from reaching the bed or lower part of the cornice. See BEAK. CANARIHERE, or GUEmTE, a small turret, sometimes of wood, and sometimes of stone; used as a sentry-box on i the salient angles of works, as places of shelter for sentinels. ; They were formerly constructed on castles, and used for firing, or discharging anything unseen in unmolested security. CANCELLI, latticed windows, or those made with cross- bars of wood or iron. Also balusters or rails, especially those which separate the chancel from the body of the ‘ church. ' DACHIN. CANOPY, a magnificent covering suspended over an altar, throne, tribunal, pulpit, chair, or the like. See BAL- It also denotes the projecting head Of Gothic niches or tabernacles. CANT, a term used by carpenters, signifying to turn a piece of timber, which is brought in the wrong way for their work. Also, the external angle made by any two . planes of a solid or building. CANT MOULDING, a bevelled surface, or one that is ‘ neither perpendicular to the horizon nor to the vertical sur- . face of the body or building. These mouldings are of very ‘ remote antiquity, and have an efl’ect similar to the Grecian echinus. A cant moulding, instead of the echinus, is applied to the capital of the columns of the portico of Philip, king of Macedon, and in many other situations, both of Grecian and Roman edifices, as is exhibited in Stewart’s Ruins of Athens, in the Ionian Antiquities, and in Adams’s Ruins of the Palace of Dioclesian, at Spalatra, in Dalmatia. The mouldings of our first Saxon buildings were originally very simple, consisting only of surfaces perpendicular and parallel to the naked of the walls; though afterwards they were formed not only of squares, but of cants also. These simple forms continued in use for some time after the Conquest ; and even when a great variety of curved forms came to be introduced, they were never entirely laid aside; we find them frequently employed in the windows of castellated buildings, and other parts. CANTED COLUMN, a column of which the horizontal sec- tions are polygons, consisting of straight sides instead of concave sides or flutes. Canted columns are not frequently to be met with in the works Of the ancients, yet examples may be seen in the columns of the portico of Philip, king of Macedon, and of the temple of Cora. The cants of columns are difficult to execute with truth, so as to preserve the arrises in the proper contour of the column, and in a vertical plane passing through its axis; and when done, they want the beautiful contrast Of light and shade, which is so con- spicuous in the flutings Of the Grecian Doric. CANTING, the cutting away a part of an angular body at one of its angles, so that the section may be a parallelo- gram, the edges of which are parallel from the intersection of the adjoining planes. CANTALIVERS, those blocks which are placed at regu- lar distances, projecting at right angles from the surface of the wall, and supporting the upper members of a cornice, the eaves of a house, or balcony: they answer the same pur- pose as modillions, mutules, blocks, or brackets, although they are applied to more trivial purposes; modillions, mu- tules, &c., being employed in regular architecture. Canta- livers are frequently made of timber, or cast iron, and pro- ject to a great distance. Those used in the cornice of St. Paul’s, Covent Garden, are of timber, and project one-fourth of the height of the column. CANTHARUS, among ecclesiastical writers, a fountain or cistern in the middle of the atrium, before the ancient churches, wherein people washed their hands and faces before they entered. CANTHARUS OF A FOUNTAIN, with the Romans, the part, or apparatus, out of which the water issued; it was of various fanciful forms, sometimes resembling a shell, at others, an animal vomiting the water from its mouth, and sometimes the stream issued through the eyes. CANTHERS, or CANTERH, in ancient carpentry, the common rafters of a roof, or those placed in vertical planes at right angles to the ridge or eaves of the building. CANTING STAIRS. See STAIRS. CANTONED BUILDING, a building whose angles are adorned with columns, pilasters, rustic quoins, or anything that projects beyond the naked of the wall. CANTONED COLUMNS. See COLUMNS. CAP, the mouldings which form the head of a pier or pilaster. CAP, in joinery, the uppermost part of an assemblage of principal or subordinate parts. The term‘is applied to the capital of a column, the cornice of a door, the capping or uppermost member of the surbase Of a room, the hand-rail of a stair, when supported by an iron strap, 8:0. CAPACITY, in geometry, the solid content of a body. CAPITAL, (capitello, Italian ; from the Latin, caput, the head) the assemblage of mouldings or ornaments above the shaft of a column, on which the entablature rests; in other words, the head of the column. Capitals are variously com- posed, some with simple mouldings, others with mouldings, foliage, and volutes. CAP " CAP The capitals used in the architecture of the Greeks, though with numberless minute variations of ornaments and proportions, arrange themselves into three general classes, and offer the most obvious distinctions between the orders. In all the orders, the capital is divided from the shaft by some small member, as an astragal and fillet, or by one or three channels, which are always accounted a part of the shaft; so much of the column, therefore, as appears above this member, belongs to the capital. The Doric capital consists of a neck, which is a continua- tion of the shaft, with its fluting, several fillets, varying from three to five in number, a bold projecting ovolo, and a massy abacus, of a square form, which covers the whole. The Ionic capital consists of an ovolo above the astragal of the shaft; a band, or festoon, upon the ovolo, on the front and rear of the capital, with volutes on the right and left, suspended from the ends of each band, or festoon ; and, lastly, a thin moulded abacus crowns the whole. The Corinthian capital, which is more richly ornamented, consists of a vase, two rows of leaves attached to the vase, volutes, caulicoli, which spring between each two of the upper row of leaves, and, lastly, an abacus, which is not only moulded on all the four edges, but formed into a concavity from the two extremities of each of the said edges. From this description of Grecian capitals, it will be seen that though the parts are generally so very unlike as to be incapable of comparison, yet they in variety maintain a general resemblance. The variations to be found in different ancient examples of the same order, will be described under their respective heads. With regard to the Tuscan capital, there are no authenti- cated remains of the order of which it is a part; and the precepts of Vitruvius on this head are so obscure, that modern compilers of systems of architecture have, of course, varied exceedingly in their designs; so that the order which passes under this name, must be regarded rather as a modern than an ancient invention. It is made to differ from the modern Doric by an air of poverty and rudeness, and by the suppression of the triglyphs, mutules, and other members. The Composite appears never to have been admitted as a separate order by the ancients. From the remains of Egyptian antiquities, we find that their architects had no certain rules; and it is rather singu- lar, that though the buildings themselves were constructed with the greatest simplicity, their capitals are of infinite variety; many of them possessing richness of decoration, although devoid of the simple elegance which is the charac- teristic of the Grecian orders. The ornaments are, in general, accurate imitations of the natural productions of the country, such as the lotus, the reed, or the palm. The temples of the ancient inhabitants of Hindostan, works of dateless antiquity, present many capitals of extra- ordinary form and composition. In some, we find repre sented the figures of elephants and horses, apparently crouching under the weight of the ceiling. Capitals, very similar in idea, are also found in the ruins of Persepolis, composed of horses and camels. As Roman art degenerated with the decline of the empire, the capitals from the ancient edifices were used indiscrimi- nately in the new structures; and this led, in later times, to the employment of a variety of capitals in the same edifice. The first alteration we find in the form of this member of the column, is in the erections of that style of architecture known as Byzantine, in which the capitals are in the shape of a truncated pyramid of four sides, placed in an inverted posi- tion, havmg the apex downwards; the surface is ornamented with foliations in low relief, or with a sort of basket-work, which is a distinguishing feature of the style to which it belongs. A nearer approach to their original is shown at a later period, in the style whose introduction is attributed to the Lombards; in this, which is merely a modification of the dcbased Roman, some of the capitals bear a great resemblance to the Corinthian, although far inferior to their original in simplicity and elegance; there are, however, other examples ofa far different description, both in form and ornamenta- tion; some ornamented with designs in low relief, others again of a grotesque character. If we include the Norman in this style, to which it certainly bears a close affinity, we shall have a great variety of forms, to be noted indeed rather for their variety and massive appearance, than for beauty of outline or decoration. But of all capitals, those found in buildings in the modes commonly comprised under the term Gothic, hold a lofty pre-eminence both for variety and tastefulness. “'hat can be more chaste and elegant than the ornamentation of the early English? or what more graceful and natural than the foliage of the decorated capital? As to variety, it was the governing principle of decoration, there seldom being found many repetitions of one form in the same building. Nature was their model, by her alone were their designs limited, so long at least as their skill was suflicient to imitate her productions. CAPITAL, Angular. See ANGULAR CAPITAL. CAPITAL or A BALUSTER, one similar to those of the Tuscan or Doric orders. CAPITAL' OF A LANTERN, the covering by which it is terminated, either in a bell-shape, the form of a cupola, that of a spire, or in any regular figure whatever. CAPITAL OF A TRIGLYPH, the projecting band which surmounts the plain vertical area, or face, and which is dis- posed in a plane parallel to the said face. The capital of the triglyph of the Grecian Doric projects but a. very small distance, and is not returned on the flanks, except at the angular triglyphs, and this only upon each face of the build- ing; but in the Roman Doric, the capital of the triglyph projects more than that of the Grecian, and is returned with the same projection on the flanks as in the face. CAPITOL, a celebrated rock, or hill, at Rome, whereon stood many ancient edifices, with the house of Romulus, Ste. Among the many celebrated edifices that formerly occupied this hill, the principal was the Asylum, erected by Romulus, in order to people his new city. The house of Romulus 'as composed of canes, rushes, &c.; and every year the priests superstitiously repaired it with similar materials. Here was the 'l‘abularium, or Archive, where were deposited the laws and consulta of the senate, and every other public act, written on tables of bronze. Vespasian repaired the Capitol, and had three thousand new tables made, the former having been defaced when the library and other buildings were destroyed by lightning. It is supposed to have stood where the arches and Doric columns are now seen, behind the Senators’ Palace, towards the Campo Vaccino. Here was the Curia Calabra. Here also stood the house of Manlius, the defender of the rock, destroyed on account of the treachery of its master. The temple of Juno Moneta was built on its site. The number of temples on this hill was very consider- able: some make them amount to sixty. But the great quantity of statues in marble, metal, silver, and gold, erected to heroes who had deserved well of the republic, causing great confusion, Augustus removed great part of them to the Campus Martins. All these noble edifices, once the ornament of the mistress of the world, have fallen a victim to the ravages of time, CAR 7 " \ CAR and the still more destructive plunder of invading barbarians. At first this hill was only. accessible from the south; but after the Campus Martins was inhabited, another road was opened towards the north. The first among the moderns who pro- moted the decoration of the Campidoglio was Pope Paul III. who, afteradesign of Bonarrotti, constructed the spacious steps. CAPREOLS, in Roman carpentry, the struts or braces of a trussed roof. CARACOL, is used sometimes to denote a staircase in the form Ofa helix, or spiral. CARAVAN SERA, in the East, a large building, or inn, for the reception of travellers, and the lodging of caravans. It. is usually a large square of buildings, with a court in the middle, surrounded with galleries and arches, under which runs a kind of banquette, or elevation, some feet high, where travellers rest themselves, and make their lodging as well as they can; their baggage, and the beasts that carry them, being fastened to the foot of the banquette. Over the gate there are frequently small chambers, which the caravan- seraskier, or director, lets out at a very dear rate, to such as wish to be. retired. CARCASE, the work of a house before it is either lathed or plastered, or the floors laid. CARCASE, or NAKED FLOORING, that which supports the boarding above, for walking upon, and the ceiling below, by a grated frame of timber, consisting of three tiers of beams, called joists; the middle tier being transverse to the other two. The beams of the middle tier, called bindingjoists, support the other two tiers: the beams forming the upper tier, called bridgings, or bridgingjoists, support the boarding, and are frequently notched upon the binding-joists: the lowest row of beams, called ceiling-joists, are either framed into the binding-joists, with pulley or chase mortises, flush with the under edges Of the said joists, or are notched and nailed to them below. \Vhen the floor is very much extended in both dimensions, another set of large beams, called girders, the whole depth of the three tiers, are introduced, for short- ening the bearings of the binding-joists, which are mortised and tenoned into the girder on both sides Of it. The under edges of the binding-joists should be so framed, as to be below the under side of the intermediate girder, about half an inch, to prevent the ceiling from cracking; and the girder must be furred, to range with the under edge of the ceiling joists. The general scantlings of these timbers are as follow, viz. girders, 12 by 13 inches; binding-joists, 10 by 4; bridging- joists, 5 by 2125; and ceiling-joists, 3 by 2%. The distance which these timbers are commonly placed in the clear is as follows: the binding-joists from 4 to 6 feet, which is also that of the ceiling-joists; and the bridgings 11 or 12 inches apart. As the girders go the whole length of the room, they nave no fixed hearing; when they extend to 20 feet and upwards, they should be trussed. “’hen the breadth of a room extends to 30 feet and upwards, the girders should be framed like the truss Of a partition, with an upper and lower beam, and with posts, braces, and struts: for this purpose, a sufficient depth for the floor should be allowed, from two to three feet. Girders should never be placed over openings, unless they be supported by strong arches. When a lintelled opening comes under the place where the end of the girder should be, the end Of the girder must be changed to the nearest solid hearing, which will throw its direction into an oblique position. The wall-hold for girders in brick buildings, may be from 9 to 12 inches, and for binding-joists, 6 inches. In stone buildings, for girders, from one foot to two feet, according to the thickness of the wall, and for binding-joists, 9 inches. In thick walls there may be two rows of wall-plates. CARCASE ROOFING, that which supports the covering by a grated frame of timber-work, consisting of three tiers of timber, parallel to each other, and to the sloping surface of the covering. The most general disposition of the tim hers is the following : the first tier and support is a row of timbers, inclined to the pitch of the roof, supported at various points by other timbers, which, with the inclined timbers, form as many vertical frames, perpendicular to the sides of the building as there are inclined timbers: each frame is called a truss: the inclined timbers in the upper part of the truss are called principal rafters: the principal rafters support a set of horizontal timbers transversely, and parallel to each other, called purlins: the purlins support the third and last tier of timbers of the frame, transversely or parallel to the principal rafters: the timbers of the last tier are called bridging, or common rafters. The upper surfaces of the principals, those of the purlins, and those of the common rafters, are sometimes framed flush with each other, or in the same inclined plane, in order to save room, or to conceal more of the roof: in this way the purlins must be tenoned, and the principals mortised to receive them; the small rafters and purlins are also tenoned and mortised together. But the best and strongest mode of carcase framing is, to make the purlins bridge over the principals, and the common rafters over the purlins. The principals rest upon a horizontal piece of timber, 0n the wall head, called the raising, or wall plate: when the purlins bridge over the principals, and the small rafters over the purlins, the small rafters rest at the bottom upon a piece of timber called a pole-plate. The manner of joining the timbers in carcase roofing and flooring, may be seen in the article CARPENTRY ; other particulars relative to roofing, may be seen under ROOFING, TRUSS, and BOARDING. Sometimes the covering is only supported by purlins rest- ing upon the principal rafters; in this case, the length of the boards is disposed parallel to the principal rafters; but this position does not give so great strength to the roof as that which is horizontal. CARDINAL SCAPI, in Romanjoinery, the stiles ofdoors. CARINA, in Roman antiquity, a building in the form of a ship. CARNEDDE, in British antiquity, heaps of stones; sup- posed to be druidical remains for confirming and comme- morating covenants. CAROLITIC COLUMN. See COLUMN. CARPENTER (from the French, charpentier; formed from charpente, timber: or, probably, from the Latin, car- pentarius, a maker of carpenta, or carriages,) an artificer, Whose business it is to cut, form, and join timber, for the purpose of strengthening and supporting various parts neces- sary in the construction of buildings. CARPENTER’s RULE, is generally used in taking dimen- sions, and in casting up the contents of timber and artificers’ work. It consists of two equal pieces of box, each one foot in length, connected together by a folding joint; in one of these equal pieces there is a slider, and four lines marked at the right-hand, A, B, C, D; two of these lines, B, C, are upon the slider, and the other two, A, D, upon the rule. Three of these lines, viz., A, B, C, are called double lines, because they proceed from one to ten twice over in the length; these three lines are all exactly alike, both in numbers and division. They are numbered from the left hand towards the right, 1, 2, 3, 4, 5, 6, 7, 8, 9, l, which stands in the middle; the numbers then go on again to 10, which stands at the right- hand end of the rule. These numbers have no determinate value of their own, but depend upon the value you set on the unit at the left hand of this part of the rule; thus if you CAR 78 CAR call it 1, the 1 in the middle will be 10, the other figures which follow will be 20, 30, &c., and the 10 at the right- liand end will be 100. If the first, or left-hand unit be called 10, the middle 1 will be 100, and the following figures will be 200, 300, 400, 860. and the 10 at the right-hand end will be 1000; and thus, whatever be the value of the first unit, the second unit in the middle is always ten times greater; and whatever is the value of the first and second unit, the following numbers to the right denote so many times that value as the number expresses. The fourth line, D, called the girt line, is a single line, proceeding from 4 to 40. Upon it are marked w G at 17' 15, and A G at 18-95, the wine and ale gauge points, to make it serve the purpose of a gauging-rule. The use of the double lines, A and B, is for working the rule of proportion, and finding the areas of plane figures. And the use of the girt line D, and the other double line C, is for measuring of timber. On the other part of this side of the rule, there is a table of the value of a load, or 50 cubic feet, of timber, at all prices, from sixpence to twenty-four pence, or two shillings, per foot. On the other side of the rule are several plane scales, divided into 12th parts, marked inch, %, %, i, &c. signifying that the inch, 13 inch, 8w. are each divided into 12 parts. These scales are useful for planning dimensions that are taken in feet and inches. The edge of the rule is divided into inches, and each of these inches into eight parts, repre- senting half inches, quarter inches, and half quarters. In this description, the rule is supposed to be folded; let it now be opened, and pull out the slider, you will find the back of it divided like the edge of the rule, so that altogether it will measure one yard, or three feet, in length. The slide is very useful in taking inside dimensions for any length not less than one foot, nor greater than three feet. Some rules have other scales and tables upon them; as a table of board measure, one of timber measure, a line for showing what length for any breadth will make a foot square, also a line showing what length for any thickness will make a solid foot. The former line serves to complete the table of board measure, and the latter the table of timber measure. The thickness of the rule is generally about a quarter of an inch ; this face is divided into inches and tenths, and num- bered, when the rule is opened, from the right—hand towards the left, 10, 20, 30, 8:0. to 100, which falls upon the joint. The other half is numbered in the same manner, and the same way. The scales serve for taking dimensions in feet, tenths, and hundredths of a foot, when the contents are found by decimals. CARPENTER’S SQUARE, a square, of which both stock and blade consist of an iron plate, of one piece; it is in size and construction as follows :—one leg is 18 inches in length, numbered on the outer edge, from the exterior angle, with the bottom of the figures adjacent to the interior edge: the other leg is 12 inches long, and numbered from the extre- mity towards 'the angle; the figures are read from the internal angle, as on the other side; each of the legs is about an inch broad. This implement is not only used as a square, but also as a level and measuring rule. Its application as a square, in taking measures, is so easy as not to require ex- ample; but its use in taking angles may be thus illustrated : suppose it Were required to take the angle which the heel of a rafter makes with the back; apply the end of the short leg of the square to the point of the heel and back, with the edge of the square level across the plate ; extend a chalk line from the ridge of the roof to the said heel-point, and the (division on the perpendicular leg of the square which the line falls upon, will mark the inches, and show how far it deviates from the square in 12 inches. CARPENTER’S WORK, in the mensuration of artificers’ work, includes the taking of the dimensions of every description of timber necessary in the construction of buildings, finding their contents, and valuing the same. The works done by the carpenter, in the general construc- tion of buildings, are the preparation of piles, sleepers, and planking, or other large timbers in the foundations, center- ings to vaults, wall-plates, lintels, and bond-timbers, naked flooring, partitioning, roofing, battening to walls, ribbed ceil- ings to form vaulting for lath and plaster, &c. These are not necessarily used in the construction of every edifice: piling and planking, or other timbers used in the foundation, are only incidental, depending upon the insufficiency of the ground to be built upon; the remaining articles may be all used in the most substantial and elegantly constructed houses. Large and plain articles, where a. uniform quantity of materials and workmanship is expended, are generally mea- sured by the square of 100 superficial feet. Piles may be made at per piece, and driven by the foot run, according to their diameter, and the quality of the ground. Sleepers and planking are measured and valued by taking the superficial contents in yards or squares. Plain centering is measured by the square; but as the ribs and boarding are two different qualities of work, they ought to be measured and valued separately; one dimension of the boarding is taken by girting it round the arch, the other is the length of the vault. Centering for groins should be measured and valued as common centering, but in addition thereto, the angles should be paid for by the foot run, over and above; that is, the ribs and boarding ought to be measured and valued separately, according to the exact superficial contents of each, and the angles by the lineal foot for workmanship in fitting the ribs and boards, and for the waste of wood occasioned by the operation. \Vall-plates, lintels, and bond-timbers, are mea- sured by the cubic foot, under the denomination of fir-in- bond. Naked flooring may either be measured and valued by the square, or by the cubic foot, according to the description of the work, and the quantity of timber employed. In forming an idea of its value, it is proper to observe, that in equal cubic quantities of small and large timbers, the small timbers will have a greater superficies than the large ones, and there— fore the saving will not be in a ratio with the solid contents; consequently the value of the workmanship will not follow the cubic quantity or said ratio. The difliculty of handling tim- bers of the same length increases with the weight or solidity, as the greater quantity requires greater power to handle it, and consequently a greater expenditure of time: and though the time may not be exactly in a ratio with the solid quantity, there will be no great ditfcrenee. as the respective sections will not vary considerably in their dimensions; and as the value of the sawing upon a cubic foot is comparatively small to that of the work done by the carpenter, the whole value of labour and materials may be ascertained with sufficient accuracy where the work is uniformly of one description. In naked flooring, where girders are introduced, they interrupt the uniformity of the Work by mortises and tenons. In this respect, the price ascertained by the cubic quantity of the girders, would not be sutlicient at the same rate per foot, as the other parts, not only on account of the great dif- ference of size, but as it is cut full of mortises to receive l the tenons of the binding- joists, it occasions a still greater CAR 79 CAR disparity in the quantity of workmanship. A correct method, therefore, of valuing labour and materials, would be to measure and value the whole by the cubic quantity, and allow an additional rate upon every solid foot of girders; or if the binding-joists were not inserted in the girders at the usual distances, a fixed price for every mortise and tenon, in proportion to their size, which would keep a ratio with the area of the end of the girder. As the binding-joists are sometimes pulley or chase mor- tised, to receive the ceiling-joists, and sometimes notched to receive the bridging-joists over them, they ought to be classed by themselves, at a superior price per foot cube, or at an additional price for the workmanship, above that of common ioisting: this should always be allowed according to the description of workmanship, whether the ceiling’joists be put in with pulley mortises and tenons, or the bridgings notched or adzed down. Partitions may be measured by the cubic foot, but the sills, top pieces, and door heads, should be measured by themselves, according to the solid quantity, at an additional rate, because both the uniform solidity, and the uniform quantity of work- manship, are interrupted by them. In trussed partitions, the braces should be rated by the foot cube, at a superior price to that of the quartering, for the trouble of fitting the ends of the uprights upon their upper and lower sides, and for form- ing the abutments at the ends. In roofing, all the timbers should be measured by the cubic foot, classed as the difficulty of execution, or as the waste occasioned, may require. Common rafters may be rated the same as joisting or quartering; purlins at a superior price, for the trouble of fitting or notching down the common rafters: the notching of the purlins themselves, upon these principles, should be valued at per piece or notch. The various parts of trusses should be arranged separately; the ioggles should be paid for at per piece, including the tenons at the ends of the struts; the mortising tie-beams and princi- pals, and making the tenons of the truss-posts, should like- wise go together; and the mortising and tenoning at the ends of tie - beams and principals, in another class; strapping should be paid for according to the number of bolts. In all these matters, regard must be had to the size and description of the work: common or bridging rafter-feet at per piece. Battening to walls is best measured by the square, accord— ing to the dimensions and distances in the clear of the bat- tening. Ribbed ceilings should be measured according to the cubic quantity, making a proper allowance for the great waste of stufl'; the price of labour will be regulated by the descrip- tion of the work, and also by the cubic quantity of timber. 'l‘rinnners should be measured separately, at such a price as to include not only the mortises and tenons of the joisting inserted into them, but the tenons at their extremities, and the mortises of the trimming joists, which are to receive them. In this way, it would be unnecessary to take any account of the tenons at the ends of the bridging-joists, or of the mortises in the trimming-joists to receive the ends of the trimmer. It would be endless to enumerate the various methods of measuring each particular species of carpenter’s work; the leading articles only are here observed. . As soon as the shell of a building is finished, that is, pre- Vlous to the floors being laid, or the ceilings lathed and plas- tered, all the timbers should be measured, that no doubt may exrst as to the actual scantlings of the timbers, or of the description of the workmanship. .ln taking the dimensions, it must be observed, that all pieces which have tenons, must be measured to the extre- mities of the tenons. Principal timbers, as binding-joists and girders, go at least nine inches into the wall, or one-third of its thickness, if more than 27 inches. In taking the dimensions of bond-timbers and wall-plates, the several laps must be added to the lengths. When there is a necessity for cutting out parallel pieces from the sides of truss-posts, as in king or queen posts, if the pieces cut out exceed 2% feet in length, and 2% inches in thickness, they should be deemed pieces fit for use; but their lengths should not be reckoned so long by six inches, as the saw can hardly be entered with less waste. The boarding of the roof is measured by the square, according to the thickness and quantity of the boards, and the manner of jointing them. In measuring for labour and materials, the most accurate method is, first, to find the cubical contents, the price of the cubic foot, including the prime cost, carting, sawing, waste, and the master’s profit ; then add the price of labour, properly measured, in the same manner as for the journeyman. Labour and materials are variable, and ’ have no relation whatever to each other; consequently they cannot be reduced to single tables. The value of the cubic foot may be calculated by having the prime cost of the load, or 50 cubic feet: for example, let it be required to find the price of a cubic foot, when the price of the load is £10. £ 8. d. 50 feet cube fir, prime cost ............................. 10 0 O Cartage ...................................................... 0 5 0 Sawing ....................................................... 0 10 0 7 feet cube waste .......................................... l 8 0 12 3 0 20 per cent profit on the above ........ . ................ 2 8 7 Master's price per load ................................. £14 11 7 Then as 50 cubic feet are to one cubic foot, so is £14. 11s. 7d. the price of 50 cubic feet, to the price of one cubic foot. Thus, £ s. d. 50 : 1 z: 14 ll 7 20 291 12 5,0) 349,9 12) 69%! 59 So that the price of the cubic foot wants only the fiftieth part of a penny to be 5s. 10d. This is the rate of the mas- ter’s price for the fir, exclusive of labour. The foregoing are the methods by which the various parts of workmanship should be analyzed, in order to discover a legitimate ratio of prices: but we regret to add, that no par- ticular account of time has been kept, in which the execution of certain uniform portions of work have been done, and by which alone we are enabled to give accurate calculations. The method of lumping work by the square, is not to be depended on, in the general admeasurement of buildings, as the surface is not always of a uniform description of workmanship; thus, in hipped roofs, the greatest trouble is at the hips, in cutting and fitting the jack-rafters, which are fixed at equal distances thereon, and therefore such a price may be fixed upon the cubic quantity of hips and vallies, as will not only CAR 80 (JAR pay for the workmanship in themselves, but also for the trouble of cutting and fitting the jack-rafters. It is impossible to fix a proper rate, including both materials and workmanship, as the one may be stationary, while the other is variable. With respect to materials, the value of any quantity may be easily ascertained, whatever he the price per load; but the far greater difficulty lies in fixing proper rates of workmanship; however, admitting that the time of executing every species of work were known, there would be no difficulty in establishing certain uniform quan- tities, which would give the real value at any time; the fol- lowing is a specimen of the several rates of workmanship, by which the prices may be regulated at any time, admitting them to be right for the present. Each rate consists gene- rally ot' three places of decimals on the right side of the point, and sometimes an integer on the left side. This table shows also the customary methods of measuring. To find the price of the common measure of any kind of workmanship, at any time— Multiply the wages of the workman by the rate; then, whatever denomination the wages is per day, the integers of' the product, if any, will be of the same denomination, and the decimals will be parts of the same. Example—The centering of cylindric vaults is 2.033 per square; now let the wages per day be 5 shillings, or 60 pence; then 2.033 x 5:10.165 shillings per square, and by multiplying the decimal parts by 12, we obtain the pence. Thus—- .165 12 1.980 penny, or very near two pence; so that the value of a square of centering is nearly 10s. 2d. Again, suppose the wages to be 58. 6d. per day, then 2033 x 5% : 11.181 shillings, or lls. 2d. nearly: and thus for any other example. Continuation of Table IV. Fired per square. Single framed floor-case and tail bays ..................... 2. 130 For every extra-cased bay add per square ...... . 484 Framed floors, with girders, binding, and ceiling-joists 3.581 Ground joists bedded. . . 775 Ground-joists bedded and framed to chimneys ...... .968 Ground-joists pinned down on plates, and framed t0 chimneys .................. l . 065 per ft run. Girders reversed and bolted .097 Truss girder-braces 4 inches by 4 If any of the above works he done in oak, add one- .......................... third. TABLE V. ROOFS. Common Shed Roofing. Fixed per square. One story high ............... .968 Two stories.............. ....... 1.033 'l‘hree stories .................. l . 113 Single Span Roofing. One story high ............... 1 .065 Two stories high ............... 1 . 113 Three stories high ............ l .210 If the above have purlins, add per square .194; or if the purlins be framed diagonally, add double, or ..................... .388 Ilips and valleys ............ In common kirb roofing, add extra per square when one side is kirbed .......... 194 When three sides .357 When four sides ...... .516 Girt roofing, with framed principals, collar-beams, and purlins .................. Framed with principals, beams, king-posts, pur- lins, and common rafters If the principals and rafters are framed flush,and the purlins housed in, add .387 per square to the above. .08 2.323 3.484 struction of buildings. Continuation of Table V. Fixed per square. Framed with principals, beams, king-posts, queen- posts, and common raft- ers, three stories ............ 4 .549 The same, four stories ...... 4.84 per ft run. Hips and valleys ............ .145 Hip, and ridge rolls fixed on iron ........................... .048 Bedded plates to common span roofing ............... .008 Bedded plates to framed roofing, as above ..... .028 Diagonal and dragon pieces .065 Angular ties and struts ...... .032 Rafter-feet and eaves-board .032 TABLE VI. GUTTERING. per ft super. One or 1} inch deal, and bearers, including 6-inch side layer board ............ .057 The same in kirb roofs ...... .073 TABLE VII. FURRINGS 0R BATTENINGS. per square. Ifthe stuff be % inch by 1% .872 But if the stuff is to be cut out, add . 146 per square. Battenings with quarters, 3 inches by 2 ................. .92 Battening to quarters, 3 inches by 2, to window piers ........................ 1 .355 If the battens be fixed to plugs, add . 29 per square. When any of the above are circular on the plan, add half as much more. TABLE VIII. BRACKETING, INCLUDING PLUGGING. Fixed per ft. super. To straight cornices ......... .089 '1‘0 cored straight cornices... .065 If circular on the plan, add one half more. To groins in passages less than 4 feet wide ............ . 16'. To the same, above 4 feet. . l2] CARPENTRY, the art of employing timbers in the con- The important and useful art to which the general name TABLE I. TABLE III. CENTERING. QUARTER PARTITIONS- . Fixed Fired _ , per squale. per square. Common four inch ............. 1 .033 For cylindric plain vaults... 2.033 Five inch ........................ 1 .113 per ft. super. Six inch ........................ I . 307 For groins ..................... .057 Six inch circular plan ...... 1 . 888 For gauged brickwork ...... .073 'l‘russed frame with king- For brick trimmers bridge- post ........................... 1 .743 wise .......................... . 041 Trussed, both king and queen For coach-head trimmers... .057 posts .................. 226 per ft run. __ For apertures ................. . . 02 TABLE IV. . NAKED FLOORING. 'lABLE II. Fired MISCELLANIES. _ Pf” 811W"!- . Ceiling floor, framed, With Fired tie - beams, binding, and perft. run. ceiling-joists .............. . l . 355 Fir-in-bond and wood bricks . 008 Ceiling floor with tie-beams Fir-in-templcts, lintels, and and ceiling-joists only 1 .065 turning pieces ............... .0'25 Ceiling-joists only ............ .646 Planing fir from the saw, Single framed floor,trimmed per foot super. ...... .017 to chimney and well-holes, Rebating fir up to 2 inches less than 9 inches deep l .355 b ' ......................... .. 025 The same, above 9 inches... 1. (346 Itebating from 2 inches by% The same, it' trimmed to to 3 inches by 1;} ......... .041 party walls, add extra per Single beading up to 2- inch .008 square ............... .388 Single quirk beading from Single framed floor, with g- inch to 1% ............... .012 one girder ..... . ........... . 1.936 Return beads to be paid for Strutting to be paid for at a double rate extra of carpentry is given, is so intimately connected with'the comforts and requirements of man, in every stage of eivdized society, that no apology can be necessary for the length to which our observations on it must necessarily extend. work especially devoted to architecture, it of course must occupy a prominent place; for carpentry may be considered of so great importance, that no man may pretend to be an architect who is not well acquainted with its principles and its practice. Carpentry may be divided into two grand branches—Carpentry and Joinery. The first includes the larger and rougher kinds of work, or that which is essential to the construction and stability of an edifice : and, generally, i all the work wherein timber is valued by the cubical foot. 111 a . T CAR 81 CAR Joinery, (called by the French menuiserie, from menu, small, and bois, wood, or small wood employed in that art) includes all the interior finishings and ornamental work, and is gene- rally valued by the superficial foot. Carpentry itself is properly divided into three branches, viz., descriptive, constructive, and mechanical. Descriptive carpentry shows the lines or methods for forming every species of work in plano, by the rules of geo- metry. To this branch of the art, sometimes called “ finding,” the celebrated Monze gave the name of descriptive geometry. Constructive carpentry shows the practice of reducing the wood into forms, and joining the parts, according to the intention or design of the architect, and thereby forming a complete whole. ZlIechanical carpentry shows the relative strength of tim- bers, and the strains to which they may be subjected by their arrangement and disposition. In this article, after a few preliminary observations on what may be termed the “HISTORY” of carpentry, it is intended to give such definitions as may conduce to a com- prehension of the theory and practice of the art, and then to show the progressive improvements made by the several English writers in carpentry; the various rules for forming the timbers, and for the individual operations, being shown under their respective heads. See particularly CONSTRUCTIVE, DESCRIPTIVE, and MECHANICAL CARPENTRY. [Jittery—This art is of such general and important use, that there can be no doubt of its being of the highest antiquity. Little of its history, however, has been transmitted to us from the ancients. Pliny and Vitruvius are almost the only authors whose writings on the subject have reached modern times; but as their observations are merely confined to the choice and felling of timber, they are of no use as to the constructive part, and only demonstrate that such an art existed. The practice of carpentry in its rudest form must of necessity have commenced in the very earliest ages; for in the first attempts at the construction of the primitive build- ings of those days, carpentry must have been brought into exercise. It is probable that the necessity of introducing the pediment roof, occasioned the first use of timber frames, and consequently the art of carpentry in building. The invention of the pediment roof is justly attributed to the u‘rreeks; as the oldest buildings of this description are to be found in their country; they also appear to have used tim- ber for other purposes, as in the framing of floors, and the construction of rustic buildings. In warm countries, furnishing stone or marble, it is pro- bable that the use of timber was not very frequent, and that it was confined to movable articles, where lightness was an essential quality; we must, therefore, not look to these cli- mates for any traces of the art. The next great people, in succession of time, to the Greeks, were the Romans, who seem to have employed timber for all, or nearly all, the purposes that the moderns are ac- quainted with. They not only constructed their roofs, but whole buildings, of timber: in Vitruvius we have a descrip- tion of their manner of constructing the architraves of Tuscan temples, and of the foundation of arched ceilings and doors, in timber work. The Romans also used wooden cornices. The theatres and amphitheatres at Rome, and in different parts of Itaiy, were at first constructed of timber ; as we read of the wooden theatre of Pompey, and the amphitheatre built of the same material, by Augustus, to exhibit the shows on account of the victory at Actium. The roofs of the Roman buildings were not always concealed; the timbers were sometimes exposed, and in magnificent buildings Y they were gilt, as in the basilica of St. Peter, erected by Constantine ; sometimes they were encrusted with bronze. Though circumstances require certain dispositions of tim- bers in a building, the timbers will still admit of infinite decoration, without injury; and sometimes so much as at first view to conceal the principal use. In the middle ages, carpentry partook of the style of building called Got/tic ; the roofs were pitched very high, but were frequently defective, on account of the want of tie-beams, which were omitted in order to obtain more lofty ceilings; height being one of the predominant features of this species of architecture. Carpentry has been cultivated by the modern Italians. Serlio, in his first book, exhibits a construction for naked flooring, with timbers shorter than either of the dimensions of the area to be covered; in the fourth book he shows some very curious and strong methods of framing doors, according to the principles of trussed work; and in the seventh book. he has some very good forms for the trusses of roofs. The wooden bridges of Palladio are most excellent examples. Among the French, the construction of wooden domes has been improved by Philibert Delorme, and Moulineau; and the centerings of arches and bridges by Perronet. In England, the very curious construction of naked floor- ing, exhibited in the works of Serlio, has been demonstrated and improved by Dr. Wallis, and carried into execution, in the theatre of Oxford, by Sir Christopher Wren, who also designed the wooden trussing of the dome of St. Paul’s, and contrived a very curious scaffolding, which supported itself without anything below it, for the purpose of building and painting the interior dome. The art of carpentry has been much cultivated of late years in England, so that it has now begun to assume a scientific form. In accuracy and celerity of execution our workmen are unequalled. Of late years the improvements in the manufacture of iron, both cast and wrought, have caused the introduction of that material into buildings in every variety of form—as girders, beams, &c. The floors, and sometimes even the roofs of those intended to be secured from fire, have been constructed of iron; and iron hooping is now used instead of bond-timbers in walls. The use of this material, how- ever, as a substitute for wood, does not change the principle, as both materials are affected by the same gravitating laws. The operations to which timber is subjected, from the time of its arrival in the carpenter’s yard, in its natural state, to the period of its final employment in a building, may be classed under two general heads; as, those which relate to individual pieces, and those that relate to their connection with others. Under the first head is the pit-saw, by which whole pieces of timber are divided, and reduced into scantlings. This term (from the French, enclzantillon) means the dimensions in breadth and thickness, without respect to the length. Planing is the operation of reducing the wood to a smooth surface, by means of an instrument called a plane, which consists of a chisel fixed in a frame, serving at once as a handle and a regulator to the edge, which cuts the wood in thin shavings as the plane is moved to and fro by the work- man. The operations of the plane, besides that of reducing timber to a uniform surface, are those of grooving, rebating, and moulding: the latter not being necessary in carpentry, we shall only describe the former two: Grooving is the reducing of a piece of timber below the surface, so as to take away a prism, and thereby leave a channel consisting of two surfaces of equal breadths, and another surface, of equal breadth, joining the other two, parallel to the surface from which the recess is made, generally forming two individual right angles. CAR 82 CAR Rebating is the reducing of a piece of timber, by taking away a prism at the angle, so as to leave only two sides, each of a parallel breadth, forming an internal angle, gene- rally 3. right angle: so that in grooving and rebating, the groove or rebate is always less than the original depth of the stufi“ or piece out of which it is formed. The latter operation is particularly used in door-cases and the frames of casement-windows; the rebate forming a kind of ledge for the door or casement to stop against. The implements which the carpenter has occasion to employ in the several operations, will be seen under the head TOOLS. The principal operations, after the pieces are formed, consist in the joining of timbers: two pieces of timber may be joined so as to form either one, two, or four angles, oblique or right. A notched joint is formed by cutting out of the thickness of each piece, a part in the form of a parallelopiped; so that when the two pieces are joined, the substance left at the reduced thickness of the one piece, fills the excavation of the other, as far as it goes into its depth. If the thickness of the part left be equal to that of the part taken away in each piece, and the thickness of the part left of the one piece be equal to the thickness of the part left of the other piece, the joint is then said to be halved. In making one angle, the recess or excavation is formed at the end of each piece, and consists of two plane surfaces, one perpendicular, the other parallel to the two opposite faces, and in the plane of the angle. In forming two right angles, one piece must, of course, project on both sides of the other, and the other only on one side; the excavation or recess made in that which projects on both sides, consists of three plane surfaces, one being parallel, and the other two at right angles to the faces; the excavation or recess made in that which projects on one side, consists of two plane surfaces, in the like positions. In forming four right angles, the notch of each piece consists of three sides, two of which are at right angles, and the other parallel to the faces. One piece of timber may also be joined to another, so as to form only one or two adjacent angles, by notching one piece on three sides at the ends, and so forming a projecting prism, called a tenon, the sides of which are respectively parallel to the sides of the piece, and by excavating the end of the other piece, to receive the tenon, which is made to fit exactly. The two pieces thus formed at one or more angles to each other, may, if found necessary, be fixed by means of wooden pins, or nails, spikes, screws, bolts, straps, or other metal fastenings. The two celebrated Italian authors, Serlio and Palladio, have given designs in carpentry. The British authors who have written on this useful art, are Godfrey Richards, at the end of his Translation of the First Book of Andrew Palladio, third edition printed 1676; Moxon’s hlcchanical Exercises, second edition printed 1693; Halfpenny’s Art of Sound Building, printed 1725 ; The Carpenters Companion, by Smith, printed 1733; Ancient filasonry, by Batty Lang- ley, printed 1733; The British Carpenter, by Francis Price, printed 1735 ; The Gentleman’s and Builder’s Repository, by Edward IIoppus, printed 1738; The Builder’s Complete Assistant, by Batty Langley, printed in 1738; The Builder‘s and W'orhman‘s Treasury, by Batty Langley, printed in 1741 ; The Builder’s Jewel, by the same author; The Lon- don Art of Building, by \Villiam Salmon, the third edition, printed in 1748 ; The British Architect, by Abraham Swan, second edition printed in 1750; Designs in Carpentry, by the same author, printed in 1759 ; several pieces of carpentry, in A Complete Body of Architecture, written by Isaac Ware, published in 1768; The Carpenter’s and Joiner‘s Repository, by William Pain, printed in 1778; The Carpenter's Pocket Directory, by the same author, printed in 1780; The Golden Rule, by the same, printed in 1781 ; The British Palladio, by the same, printed 1788; The Practical Builder, by the same author; The Practical [louse Carpenter, by the same author, printed in 1791. The following are productions of the Author of the present Work: The Carpenter’s JVew Guide, in 1792; The Carpenter’s and Joiner’s Assistant, printed in 1792. Likewise, the various articles on carpentry, in Rees’ Cyclopwdia; A Treatise on Carpentry, in the Edinburgh Encyclopedia; and a treatise on the same subject, in his flIechanical Exercises. A long article on Carpentry, in 3. Supplement to the Encyclopedia Britannica, was written by Professor Robison, of Edinburgh; and an article on Carpentry, in A Course of Lectures on lVatural Philosophy and the [Mechanical Arts, by Thomas Young, M. D. late Professor of Natural Philosophy in the Royal Institution of Great Britain. We shall here give extracts from these authors, in order to mark the various methods and progressive improvements in the scientific and practical parts of carpentry, particularly that part which relates to geometrical description. Godfrey Richards, in his general title, at the end of the translation above referred to, writes thus : “ 0f Roofs—Rules and instructions for framing all man- ner of roofs, whether square or bevel, either above or under pitch, according to the best manner practised in England. “Also to find the length of the hips and sleepers, with the back or hip mould, never yet published by any architect, modern or antique; a curiosity worth the regard, even of 1 the most curious workman; exactly demonstrated in the following rules and designs, by that ingenious architect, Mr. “'illiam Pope, of London. “Having raised the walls to their designed height, and made the vaults, laid the joists, brought up the stairs, and i perfbrmed all those things spoken of before; we are now to ‘ raise the roof, which embracing every part of the building, and with its weight equally pressing upon the walls, is a. band to all the Work; and besides defends the inhabitants from rain, from snow, from the burning sun, and from the moisture of the night; adds no small help to the building, casting off from the walls the rain water, which although for a while it seems to do but little hurt, yet in process of time is the cause of much damage. The first men (as saith Vitruvius) built their houses with flat roofs, but finding that thereby they were not defended from the weather, they : (constrained by necessity) began to make them ridged (that is to say) raised in the middle. These roofs are to be raised to a higher or lon'er pitch, according to the country in which they are; wherefore in Germany, by reason of the great quantity of snow that falls there, they raise their roofs to a very great pitch, and cover them with shingles, which are Small pieces of wood, or of thin slate or tiles; for if they should raise them otherwise, they would be ruined by reason of the weight of the snow. But we, who dwell in a more temperate country, ought to choose such a pitch as may secure the building, and be of a handsome form : therefore we divide the breadth of the roof into four equal parts, and take three, which makes the most agreeable pitch for our country, and is the foundation for the raising of any manner of roof, whether square or bevel; as appears in the following designs and descriptions.” “ The manner (y‘framing a floor, with the names of each member. (See CARPENTRY, Plate 1. Figure l. “1. The thickness of the wall, and lintel or wall-plate; and if it be in timber-work, then a bressummer 1w, «7 a. ‘ CARP. mm my v. l 1072 )7er THE LONDON PRINTING AND BURLISBINQ COMPANY. LIMLTI“) 83 CAR C A R “ 2. The summer. “ 3. Girders framed into the summer. “ 4. Spaces between the joists. “ 5. Joists. “ 6. Trimmers for the chimney way. “ 7. Trimmers for the staircase, or well - hole for the stairs.” Figure 2.—“ 0f the Design. “ AA The breadth of the house, cantalivers, cornices, and eaves. “ A B The length of the raftings and furrings, which ought to be three-fourths of the breadth of the house, A A. “The principal rafters to be cut with a knee (as in the Design) that they may the better support themselves and the burthen over them, upon the upright of the wall, and also secure that part from the dripping in of the rain, which otherwise would happen if the rafters were made straight and furred. “The beams to the roof, or girder to the garret floor, ought to project without the work, as far as the furring or shredding, which is the projecture of the cornice. “ This manner of framing the roof will be useful from 20 to 30 feet, or thereabouts. “ 1. Ground plate. “ 2. Girder, or binding interdnce, or bressummer. “ 3. Beam to the roof, or girder to the garret floor. “ 4. Principal post, and upright brick wall. “ 5. Braces. “ 6. Quarters. “ 7. Interduces. “ 8. Prick-post, or window-post. “ 9. J aumes, or door-posts. “ 10. King—piece, or joggle-piece. “ ll. Struts. “ 12. Collar-beam, strut-beam, wind-beam, or top-beam. “ 13. Door head. “ 14. Principal rafters. “ l5. Furrings, or shreddings. “ l6. Ends of the lintels and pieces. “ 17. Bedding, moulding of the cornice over the windows, and space between. “ 18 Knees of the principal rafters, which are to be of one mece. “ 19. Purline mortises.” Figure. 3. “Design of the gable end, or roof—Let the whole length of the gable end, or roof, A A, be 20 feet, divide the same into four equal parts ; take thereof three for the length of the principal rafter, AB, and placing that perpendicular from the point C, to the point D,'beget the length of the sleeper AD, which will be 18 feet. And the length of the dormer’s principal rafter, from A to E, when laid to its pitch upon the back of the principals, will reach to the level line F B, or top of the principal rafter; and this is a general rule for all breadths. “ 1. Summer, or beam. “2. King-piece, crown-post, or joggle-piece. “3. Braces, or struts. “4. Principal rafters. “ 5. The sleeper. “ 6. Purline of the dormer. “7. Principal rafter of the dormer. ‘8. Single rafter of the dormer, standing on the sleeper and purline. “ 9. Point of the sleeper. 1“ 1(2’, 11. The thickness of the wall and lintels, or wall- p ates. Figure 4.—“ 0f the Italian or hip roof “ AA The breadth of the roof, being 20 feet. “AB The length of the sleepers or hips, being 18 feet, which is proportionable to the breadth of the house. “ E D The height of the roof perpendicular. “ CD The length of the hip, and the angle which it maketh upon the diagonal line, which is showed by the pricked line G, from F to C. “ l, 2. The wall and lintels. “ 3. Dragon-beam for the hip to stand on. “ 4. Beam on summer, wherein the dragon-beams are framed. “ 5. King-piece, or crown-post. , “ 6. Struts or braces from the crown-post to the hip- rafter. “ 7. Hips, as they make the angle equal to the breadth of the house. “8. Hips, as they make the angle in the diagonal lines from corner to corner. “9. The additional length which the hips make upon the diagonal lines, more than the breadth of the house.” “ Offlat rot)fs.—(CARpENan, Plate II. Fig. l.)—lVithin a camber-beam and rafters joggled in, whose weight lieth not chiefly'in the middle, and may be so made, that, without hanging up the beam, the principals may discharge the weight; and how drips may be made to walk on. “ l. Camber-beam. “ 2. Principals joggled into the camber-beam. “ 3. The place where the principals are joggled in. “4. Puncheons, or braces. “5. Drips to walk on, and may be made with the less current, that the roof may be made the more pitch, for the strengthening thereof: and may be made higher or lower, according to the building and discretion of the architect. “ 6. Battlement.” Figure 2.—“A flat roof with a crown -post, or king- piece.” Figure 3.—“ 0f the hip roof—~Instructi0ns tofind the length and back of the hip, so as it may answer the side and the end of the perpendicular line of the gable end, the two shirts, the side of the roof in plano, or lying in ledgment with the hip and gable end, the diagonal and perpendicular lines being laid down proportional to any breadth or length, by which the most ingenious may serve himself, and an ordinary capacity (already acquainted with the use of the ruler and compass) may plainly demonstrate all the parts of a roof; whether square or bevel, above pitch or under pitch, by lines of proportion, as may appear in the Design following :— “ Suppose the roof 20 feet broad, and in length 30, 40, or 50 feet, more or less. Let A B C D be the sides and ends of the said roof, one end to be hipped, the other a gable end; draw the lines A B C D the breadth and length of the roof; then draw the gable end A B E, whose sides or principal rafters being three—fourths of the breadth of the house, then draw the perpendicular line E F, the height of the gable end, which line is of general use to level the ridge of all roofs; and if the other end be hipped, as in the Design, D C G, then it serves to find the length of the hip, and the back of the hip, so that it may answer both sides and ends of the roof; always observing, that the middle of the breadth of the house is as I H; then draw the line K L N through the centre 1, which will make right angles to the line E F H G, both in bevel and square houses. Then extend the line A B, on both sides to 0, being the length of A E, or E B, the length of the principal rafters, or three-fourths of the breadth of the house CAR 84 CAR So will 0 N and 0 K make the length of the ridge I F; and K D and C N, the two skirts. “ To find the length of the hip—Draw the diagonal line DI and 10, over which the hip is to hang when in its due place; then take the perpendicular line E F, and place it from the point I to P P, perpendicular to the diagonal or base lines D I and I C, at I ; so is I P and I P, the pitch of the hip, equal to the gable end, E F : and when erected, will hang perpen- dicular to the point I ; then take P D, the hypothenuse of the triangle D I P, and C P, the hypothenuse of the triangle 0 I P, placing them from D to G, and C to G gives the length of the hip D G C, and when laid to their pitch, will all meet perpen- dicular to the point I. “ To find the back of the hip, so that it may answer both sides and ends of the roof, whether square or bevel—Lay the ruler from the point L to the point H, and from the point H to M, and mark where it cuts the diagonal lines D I and I C at Q Q ; then set one foot of the compasses on the point Q, and extend the other foot to the hip lines DP and C P, at the nearest distance ; with that, mark the point R upon the same diagonal lines : then draw the pricked lines I I? u and II R M, which make the back of the hip for the two corners of that roof “ This rule serves for all roofs, whether over or under pitch.” Figure 4.—“ 0f roofs bevel at one end, and square at the other; the gable end square, and the bevel end hipped. “ Suppose the breadth of the roof to be 20 feet, the length more on one side than on the other, as in the Design, A B C D, then draw the gable end, A E B, whose sides, from A to E, and from E to B, are three-fourths of the breadth of the house, or the length of the principal rafters ; then draw the perpendi- cular, E F, the height of the roof from the floor; and, if kneed, then from the top of the knee, as in the design of a kneed rafter, before-going. “ The sides of the roof, which make the ridge G H I K, to be drawn as described in the foregoing design. “Divide the breadth of the roof in two equal parts, as F L Q, then take the distance L N, which is the half breadth of the house, and make it parallel to C Q D, as M I. M, and L will be the point whose perpendiculars, OT, will meet the principals, rafters, and hips.” “ To find the length of each hip, distinct one from the other.—-0f the longest hips—Draw the diagonal line L C, and take the height of the gable end, E F, and place it perpendi- cular to L C, at 0 ; so have you the height. of the roof per- pendicular from 0 L, equal to E F, the gable end; and the line 0 C will be the length of the hip-rafter, which will be equal to C H, the skirt for that side of the hip, and C P the side of that hip end. “ To find the back of the longest hip, C 0.—Lay the ruler from the point M to Q, and mark where it cuts the diagonal line at R; then set the foot of the compasses at the point R, and extend the other foot till it touch the line C 0 at the nearest distance; then make it touch the diagonal line at s, then draw the lines M s Q, which is the back of the hip for that corner of the roof. “ To find the shortest hip—Draw the diagonal L D, and take E F, the perpendicular of the gable end, as before, and place it from I. to T, perpendicular to I. D; then draw the line T D, which is the length of the hip for that corner, and is equal to the skirt, D I, and the side of that hip, D P, which, when erected, will meet with the other principals, perpendicular to the point L. “ To find the back of the bin—Lay the ruler from the point Q, to the point M, and mark where it cuts the diagonal line L D, at v: extend the compasses from the point v, to touch the line T D at the nearest distance. and carry that distance on the diagonal line to the point W; then draw the pricked lines M W Q, which will make the back of that hip fit for that bevel corner. “ And this rule serves for all bevel roofs, whether over or under pitch.” Figure 5.——“ Of a roof bevel at both ends, and broader at one end than the other. “ A B C D. The length and breadth of the house. “ E F G. The length of the rafters, or pitch between the widest and narrowest ends, about the middle of the house, to stand over the pricked line T T, for the foot F to stand on the one T, the foot G to stand on the other T. “ II II. The point of the two hip ends, when brought to their due place, will be perpendicular to P P, and will meet the sides I K, L M, over the points P P. “ O, 0, 0, 0. The points of the perpendiculars, and length of the hips, from A B C D. “ Q, Q, Q, Q. The backs of the hips, or hip—mould to each corner. “ R, R, R, R. The points to find out Q, the point for each back. “ s s, s S. The lines representing half the breadth of the house, parallel to each end. “ T T. Representing the middle of the house. “ Notwithstanding the bevel ends, you may place your beams for your principal rafters to stand on a square, or so near a square as may be, or between both, as from the ends of the pricked lines 1 K, L M, bringing the outside of them straight under P P, which will be more handsome for the house in the inside, although it bevels outward.” The foregoing descriptions and diagrams contain all that is said on carpentry by Godfrey Richards; we shall now add a few observations. In the explanation of Figure 1, Plate I., CARPENTRY, we have the names of the several timbers which constitute a. floor, and the manner in which they are disposed. In this- explanation, and the plan which accompanies it, we find girders, summers, and bressummers. The summer runs parallel to the front of the building; another piece of timber is placed in the front, parallel to, and in the same level with the summer; if the front timber terminate the apertures at their height, and the wall be of brick, this timber is called a lintel; but if the lower side of the timber do not termi- nate the windows, it is called a wall-plate. If the front wall is constructed of timber-work, then the level piece of timber in the floor, and in the front of the house, is called a bres-- summer, which in modern carpentry, when employed in the: same otlice, still retains that name; and hence the term brcssummer signifies a summer in the breast or front of thc building. The use of the summer was to support the end: of the adjacent girders; and the bressummer was not onl: to support the end of the one girder, but to tie the fron together. In the present construction of houses, summer are not employed. In old carpentry, the girders supporting the joisting were sustained at their ends by the summers ano bressummers, lintels, or wall~plates. In modern carpentry the girders are sustained by opposite walls, upon plates 0 lintels, and are still used over every extensive bearing t' support the joisting. In modern timber - buildings, and partitions, the sam' names are still used for the same things, as in old carpentry wherever the things themselves are employed, except in few instances, viz., the interduces are now called interties the middle beam of the roof went by several names, t collar-beam, strut-beam, wind-beam, or top-beam ,- but ( PLATE .1]. L‘X’R JPJE N ”.H“ BUY. .1, ‘ l (S Lu ‘4 M hat 2" .,: M '- C "3 ‘5 z {I NC, IILJ‘I‘i‘; “MING; ANY) [.0 N DO NV 1441b ’I‘UE‘T CAR % 'CAR don, by the author now quoted. frey Richards. common height. ribs fixed in the returns. Initre bracket.” A C into any number of equal parts, Z Thus much for the work published by Godfrey Richards. The carpentry published in Moxon’s Mechanical Exer- cises, contains nothing more than the names and applications of timbers, which are the same as those described by God- these names only that of collar-beam is retained. At pre- sent we have no hneed-raflers, therefore neither furrings nor shreddings are necessary, as in Figure 2; the prick—posts are now called jambposts, window, or door-posts ; the ver- tical timber hanging from the vertical angle of the roof, and supporting the principals, went formerly under the names of hing-piece, crown-post, or goggle-post,- but now it retains only the name of hing- post. employed in London and its vicinity is here alluded to. The timbers in the internal angles, at the meeting of the two inclined sides of a roof, were formerly called sleepers, but now they are termed valley-pieces, or valley-rafters, see Figure 3; in which may be seen also a method of finding the length of the hip, without making any plan of the roof. Plate II. Figures 3, 4, 5, show the manner of finding the lengths and backs of the hips, as at present. The discovery of this principle is generously ascribed to Mr. Pope, of Lon- The nomenclature In The Art of Sound Building, Mr. Halfpenny shows the methods of tracing the angle-brackets of coves, regular and irregular groins, the common ribs in each return being of one The following specimens will show what has been done by this author. He likewise shows how to find the arch for the aperture of a Window, of a given width and height, so as the angles may be in vertical planes, according to legitimate principles; but he does not, in any instance, show the method of beveling the edge of the angle-ribs, so as to range with Plate III. Figure l. “ Tofind the angle or mitre-brachet of a cove—First, draw the base A B of the regular bracket, and from A draw A D, perpendicular and equal to it, and draw the line D B, and continue the line D A to C, so that A C be also equal to A B; then extending your compasses from A to B, and setting one foot in A, with the other describe the arch, or quarter of a circle C B, and from the point D draw D F, perpendicular to D B, and equal to D A, or A C, and another as B E from B, likewise equal to D A, and draw the line F E, which will be parallel to D B. This being done, divide A B into a number of equal parts, not exceeding two inches and a half, and through the divisions of them draw lines parallel to A C, to touch the arch C B, which continue out to the line D B, and this line will be divided likewise into the same number of equal parts as A B is. Lastly, from the divisions of the line D B, draw lines parallel to D F, and in each of them, from D B, lay off its respective parallel (from A B to the arch B C) and at the points whereat they end, stick small nails, or pins, and take a thin lath, and bend it round the nails, or pins, observing that it touches them all, and with a pencil, or any- thing else proper to make a mark, describe the arch F B round the edges of the lath; and this is the arch for the an gle or Figure 2. “If the lesser arch of an irregular groin be a'given semicircle, it is required to form a larger one (not a semicircle) so that the intersection of those two arches shall beget, or make the arch-line of the angle to hang perpen- dicular over its base; as also to draw that arch-line of the angle—First, draw the lines AB and C D, to represent the walls from whence the arches spring, and draw the line C B, and on the line A 0 describe the semicircle A E C, and divide from whence draw paral- ,AV .— . atN. lel lines to C D, to touch or come to the arch A E C, and if these parallels are continued out to the line CB, they will divide it into the same number of equal parts as A C is ; and if from each of the divisions of this last line parallels to A 0 are drawn, they will divide the line A B into the same num- ber of equal parts as A C, or C B, is divided into. This being done, continue AC to I, so that A I be equal to Ef; and con- tinue DB to K, so that K B be likewise equal to Bf; or A I, and draw the line I K. Moreover, at the points C and B raise the perpendiculars C N and B 0 to C B, each of the same length as E f; or A1, or BK, and draw the .line NO. Lastly, from the divisions of A B, draw parallels to A I (that is, continue the parallels drawn from the divisions of the line C B to the line I K) and from the divisions of C B parallels to C N. Then set off the heights or lengths of each of the parallels in the semicircle A E C, upon the correspondent parallels to A I and C N, and stick in nails Whereat they terminate ; and if a lath be bent round them, so as to touch them all, and a pencil be moved round the edge of it, the arches A H B and C M B will be found ; which was required to be done. “ Note—The pricked lines in this, and all other examples of this kind, show that one parallel line has a relation with the other. For example : the lines f E, g H, l M, are all equal to one another ; so that if the three arches A H B, A E C, and 0 MB, were raised perpendicularly upon the lines AB, A C, and C B, and a line drawn from H to M, and another from M to E ; then would the line M H be parallel to, and directly over the pricked line lg. In like manner, the line E M would be parallel to, and directly over the pricked line f l. Under- stand the same of the other parallels and pricked lines in this figure, and any others of the like nature.” Figure 3.-—“ Having one centre given for an unequal- sided groin, to form the other, so that the intersection thereof shall produce the angle, or mitre-arch, to hang perpendi- cularly over its base ; and, moreover, to draw the curve thereofI—Draw the lines A B and B D, and D C and C A, each equal to one another, to represent the walls from whence the arches spring, and on the line A B describe the given arch A F B. This being done, divide the line A B into any number of equal parts, from whence raise perpendiculars to A B to touch the arch A F B, and draw the diagonal lines A D and B 0. Then take the line E F, and set it perpendicular to the lines A c, A D, C D, c B, B D, from A to o, from A to I, from C to P, from C to S, from C to L, from D to K, from D to T, from D to V, and from B to M, and from B to z, and draw the straight lines o P, I K, s T, L M, and v 2. Now divide the base lines B D, D c, C A, AD, and B C, each into the same number of equal parts as A B is divided into, and from the points of division draw parallel lines to touch the lines o P, s T, v z, L M, and I K. Then take the lengths of the perpendiculars to A B, drawn to touch the given arch A F B, and set them off in the correspon- dent parallels drawn from the points of division of the several bases upwards, and the arches B 3/ D, D v C, C q A, A h D, and C n B, will be described as in the foregoing examples (Figures 2 and 3) whose heights a: g, w v, r g, g h, and g n, are each equal to E F, as likewise all the other correspondent heights, from the bases to the curves that are formec .” Figure 4.—“ The arch line of a large ceiling, or vault, supposed to be semicircular, being given: how to form the curve of a lesser arch, that shall intersect the side thereof, to give way for doors or windows, so that their intersection shall produce the groin to hang perpendicularly over its base; as also to form the curve-line thereofi—First, draw the lines A B, B D, D C, and C A, to represent the walls from whence the arches spring, and describe the two given semicircular arches A 0 B, C L D, and in the line B D set off the span of the inter- secting arch from v to t. This being done, set off the height you design to raise the lesser arch v z t from g in the line A B, l 86 CAR perpendicularly to touch the arch in h, and from 'v to r, and t to u, and draw the line r u, which halve in the point z, and draw the line z y, parallel to v r, or t u. Then strain a line, or lay a straight rule from h through g, towards a; as also from z through 3/, towards x, and these two lines will cut one another at ac, from whence to the points '0 and t, draw the lines a: v and w t. Now set offg h perpendicular to a: t from w to w, and from t to s, and draw the line 8 w, and divide g B into any number of equal parts at pleasure, from the divisions of which, draw perpendiculars to g B, to touch the arch A o B between the points B and h, and divide v y and g t, the halves of the base '0 t, each into the same number of equal parts as g B, is divided into: as likewise the base as t, and from the points of division draw parallel lines to touch the lines u r and S w. This being done, take the lengths of the lines that were drawn from the points of division of g B, perpendicu- larly to touch the part B h of the arch A 0 B, and set them off in the correspondent parallels from 3/ v to z r, and from g t to z u; as likewise from a: t to w s. Then, if at the extent of each line, as you set it off in the parallels, you stick in nails, as in the foregoing examples, and bend a thin rule about them, you will describe the sought arches v z t and w t, whereof v z t is the true intersecting arch, and w t the curve line of the groin that is correspondent thereto. “ After the very same manner the arches h m z and h p are drawn.” In his explanations of the diagrams, he is tolerably intelli- gent; but he has departed from truth and reason in the two following problems :— “ The arch of a round tower, or any other circular build- ing, being given, wherein a semicircular window is to stand, how to find a centre, so that the mason or bricklayer shall twin their arches thereon without crippling them. (See Plate III. Figure 5.) “ First, draw the arch A F B, from the centre E, to represent the arch line of the wall, and set the width of the window from D to C, which halve at H, and draw the line L M, which halve at N; from whence describe the semicircle L 0 M. This being done, divide the semi-diameter L N into any number of equal parts, from the division of which, draw parallel lines to 0 N, the arch of the quadrant, which parallels continue out to divide the arch F G into the same number of parts as L N is; and from the points of division in the arch F C draw perpendiculars to the parallels, each equal in length to the correspondent parallel of the quadrant L 0; and from the points of the divisions of the line H 0 (made by continuing out of each of the aforesaid parallels) draw right lines to the extreme points of the aforesaid perpendiculars, as from G to II. This being done, if the line G H be laid off in the parallel 0 N, continued out. from H to I, and the rest of these lines last drawn be laid off in the respective con- tinuations of the parallels, the extreme points of these lines being joined. will form the curve C 1 ; which, when set in its due position, will hang perpendicular over the arch C F, having its points Coinciding with the ex- tremities of the perpendiculars drawn from the divisions of the arch C F.” Figure 6.——“ The centre whereon the arch of a bow—window is turned being given, how to find another centre that shall answer parallel to it, according to the upper edge of the surface of the arch—First, describe the arch B K C, according to the directions laid down in the last problem, and set the width of the flat surface of the arch from B to A, and from c to D; and draw the lines A D, B C, and halve them at F and E, from whence draw a perpendicular of a length at pleasure to H. Then in any convenient place (Figure 6, No. 2) draw a line at pleasure, as from A to G, and from A draw to A G the perpendicular A F. Then take E I, in N0 1, and set it from A to B, No. 2, and F I from A to c. This being done, take the semi—diameter B E, or E C, No. l, and set it from A to D, No. 2. Also, take A B, or C D, and set it from D to E, and draw the line E C, which set in the line B H, from F to g. Again, take the width of the flat surface of the arch A B, or C D, and set it in the line E H, from K to 7, and divide the remainder from 7 to g, into seven equal parts. Also, divide the arch B K, into seven equal parts. Then take K 1, in the line B H, between your compasses, and setting one foot in l, with the other strike the arch 1 at pleasure: then take K 2, and strike the arch 2: also take K 3, K 4, K 5, and K 6, severally, and strike the arches 3, 4, 5, and 6. \Vhen this is done, open your com- passes, and divide from A to g, keeping the points of them on those arches, till you have gotten seven equal distances from A to g; at the points of which, if nails be stuck in, and a thin rule be bent round them from A to g. along the edge thereof the arch A g may be drawn. And in like manner may the arch D g be drawn.” This description is so far intelligible, that we perfectly understand his geometrical process; but it is so void of truth, that no geometrical reasoning can be applied, unless it were to prove the contrary of his assertion: the arch which would be required to stand perpendicularly over such a plan upon a semicircular centre, would not be in the same plane, which is the case with the one he has found, and asserted to be right. In the construction of the ribs of niches for plastering, he is extremely obscure, and takes only the most common and easy cases'; such as might occur to every one, even to those who are not much in the habit of thinking, as the reader will observe in the following quotations 2—— Figure 7.-—“ 110w to form a semicircular niche with ribs, as is usual when it is to be plastered—First, describe the semicircular plate A C B, as also the semicircular front rib A D B, equal to it, and fix the plate A C B level in the place where it is to continue, and upon it set the front rib A D B perpendicular on A B. This being done, describe the quad- rautal ribs D c, D E, D F, D G, and D H, each equal to A D or B D, and place them about 8% inches from one another, on the plate A C B, as at C, E, F, G, and B, so as to meet in one point, at D, on the crown of the front rib A D B; and thus is one half of the work finished. And after the same manner may the other he done.” Figure 8.———“IIow to form an elliptical niche, with ribs. for plastering—First, describe Figure 8, No. 1 and 2, k n m being a semi—ellipsis, representing the plate whereon the ribs stand, and being equal to A D B, or A e B. The pricked lines L 72,1. 0,1. p, I. q. L r, and I. :12, represent the base lines of the ribs e D,fD, g D, h D, i D, and B D; so likewise do the lines 5 t, s u, s v, s w, s .r, and s g,- and the perpendiculars a t, b a, c v, d w, e 1', and f3], do represent the rising of the ribs e D,fD, g D, h D, i D, and b D, which is equal in length to C D; observing that within those lines the tlitl'erent arch of each rib is to be described, viz. the arch s a is a quadrant of a circle, having t for its centre, and is equal to the arch of the rib e D :—The lines S u, s :, equal to z b, b u, are the semi-transverse and conjugate axes of a semi-ellipsis, whose arch, s b. is equal t( the arch of the rib f D, which may be struck either with: trammel, or by the intersection of lines. Moreover, the line: s z, s 1:, equal to v c, c z, are the semi-transverse and conjugan axes of a semi-ellipsis, whose arch is equal to the arch of thq rib g D; and so of the rest. “ Now having the ribs all ready, set the front rib, AD‘ perpendicular on the plate A e B, as at A B, and fix the fee of the short ribs on the plate A e B, as at e,f, g, h, i, whic correspond with the points n, o, p, q, r, and their point fl. Maire! 1234.007 ‘3 ,,x , .4 :7,” W CAR 87 CAR ‘ a, b, c, d, e, to the crown of the front rib at D; and thus i may you finish your work.” . I We now proceed to Smith’s Carpenter’s Companion, and though he presents nothing new in geometrical principles, his observations are very judicious and worthy of transcrip- . tion ; and his practical remarks, though perhaps objectionable I in a few instances. are more to the purpose of a general connected detail of what should be done in the constructive part of carpentry, and more systematic, than those of most other writers; though the examples and designs which he shows are not generally the best. He begins his introduc- tion thus : “ The usefulness of carpenter’s work in building, and the little notice taken of it by authors who have treated of architecture, and the few there be that rightly understand it, prompted me to write the following treatise. “ Carpenter’s work is one of the most valuable branches of architecture; it was contemporary with the first ages of the world; and with the knowledge of this art, Noah closely and firmly connected those timbers in the ark, which were , so nicely wrought, that they not only kept the water from penetrating into it, but were proof against the tempest and the rolling billows, when, in its womb, it carried all the tenants of the earth and air. “ Those naval preparations, through all ages of the. world, as well as those stupendous temples and edifices, erected in all countries, demonstrate the perfection of this art. The innumerable floating buildings, which roll from one country to another, through tempestuous storms, tossed from the mountain’s height to the depths of the ocean, without injuring the vessel, evidently Show the vast use and judgment of carpenter’s work. “But as that branch of it which relates to templar or , domal uses, is the subject of this work, I shall only treat - of its usefulness in them; and may venture to affirm that carpenter’s work is the chief tie and connection of a building, supplying the ligaments which bind the walls together. “ The bond-timbers, which strengthen and tie the angles of a building, and prevent its separating, is the work of the carpenter. Linteling over doors and windows, with other dischargements of weight, it is his care to perform. “Bond timbers in cross walls, when settlements happen, if they are well applied, prevent the cracking of the walls, for they keep the whole together, and every part settleth alike, which would fill the buildings with gaps and chasms if neglected. “ Next for the floors ; the rightly framing them, by trussing the girders, by placing them on joists, so that they come near no funnels of chimneys ; the manner of tenanting, tusking, framing of timbers for chimneys, stairs, &c. I say, all these it is the business of the carpenter to see carefully performed. “Partitions of timber, their manner of trussing to prevent cracking, settlements, 8m. and the discharge of weight of girders, beams, or cross walls, is carpenter’s work; as is, likewise, the framing of timber bridges. “Roofs of various sorts, for common houses, large edifiIyes, or churches, their manner of framing, the height of their pitch, their strength, usefulness, &c., with the various manner of performing all these works, is the subject of this treatise, which I have rendered intelligible to every capacity, by designs of several sorts, and have described them in such a manner, as will render the work useful to carpenters; particularly to those who are unacquainted with the manner of performing these operations of framing. “The first thing which the carpenter must consider, for the carrying on a building, is the plan, in which you are to prepare your timber, in having it cut into proper scantlings which shall be hereafter noted. “ You are to prepare for lintelings and bond-timbers; for lintels over doors or windows. stuff of five inches thick and seven broad, and it is a slight way of building to put in any of less scantling ; as for door-cases, their manner of making, and scantlings of stuff, it is needless to speak of; it is the best way to have them put in when the foundations are brought up high enough for them. Bond-timbers should be dovetailed at the angles of the building and cross walls. And here note, that it is a durable, though expensive way, to have all fir timber, which is laid in the walls of the build- ing, to be pitched with pitch and grease mixed together; the quantity of grease, one pound to four pounds of pitch. All these things are the care of the carpenter. “Bond-timbers should be four or five inches thick for cross walls, and in the angles of a building, six or seven inches, and proportionably broad; six or eight feet long in each wall; and it would not be amiss to place them six or eight feet distant all the height of the building, in every angle and cross wall; these, if a building be on an infirm foundation, cause the whole to settle together, and prevent the cracks and fractures which happen, if this be neglected. “ We come now to the floors, in which these ‘things are to be observed—the magnitude of the room, the manner of framing, and the scantlings of the timber. For the first, you are to observe to lay the girders always the shortest way, and not to have ajoist at any time exceeding twelve feet in length. “The first common method of framing floors, is where the joists are framed flush with the top of the girder.” (The trimming-joists supposed to come against chimneys and stairs, are always thicker than common joists, being weakened ‘ by mortising.) “ The scantling of joists, when a floor is framed in this manner, ought to be as followeth : Common J oists. Trimmers. Scantling U Scantling ft’ long. in inches. ft' 1011‘” in inches. 5 7 by i 5 7 by 3 6 7 by s 6 7 by 4 8 7 by 2% 7 7 by 5 9 8 by 3 8 8 by 4 10 8 by i 9 8 by 5 11 8 by 3% 10 9 by 6 12 9 by 4 “ These are such proportions as will render the work sufficiently capable of sustaining any common weight. “ The next manner of framing floors is with binding—joists framed flush with the under side of the girder; and about three or four inches below the top of the girder, to receive the bridgings, which are those which lie across the binding. joists, and are pinned down to them with pins of wood, or spikes of iron. These binding-joists should be framed about three feet, or three feet six inches distant from one another, and their thickness four or five inches, or in the proportion to the length of their bearing, as trimming-joists. “ These floors, if they settle out of a level with the build. ing, are made level when the bridgings are put in, which is generally after the building is covered in, and near c0m- pleted; they are generally double-tenanted. The binding. joists are chased, and the ceiling-joists tenanted into them, and put in generally after the building is up. These ceiling. joists should be 13 or 14 inches apart, and the scantling 2 or 3 inches square, and in large buildings 3 and 4. As for the bridgings, which lie on the top of the binding-joists, they CAR 88 CAR may be placed 12 or 14 inches distant, their scantling 3 and 4, or 3%; and 5, their bearing being only from binding-joist to joist, which is 3 feet, or 3 feet 6 inches, and these are laid even with the top of the girder, to receive the boarding. We come now to speak of girders; and first, for their scantling, take these proportions : ft. long Scantling in inches. B. D. 10 8 by 10 12 81} by 10 14 9 by 10% 16 9% by 102} 18 10 by 11 2O 11 by 12 22 11% by 13 24 12 by 14 “ And observe, that as every weight, added to the weight of the timber in the floor, in itself occasions it to settle, the girders should be cut camber; if a 10 feet bearing, half an inch camber; if 20 feet bearing, an inch camber, 850., in pro- portion to the length of the bearing. “ And farther to strengthen the girder, and prevent its sagging, as it is called among workmen, that is, its bending downwards, I have given you several ways of trussing gir- ders, which have been most of them practised. “ The manner of trussing these girders, is, first, to saw the girder down the middle, the deepest way; then take two pieces of dry oak, about 4% or 5 inches wide, and 4 inches thick; let half the piece be let into one side of the girder and half into the other. “ Another way, which is by cutting the girder through, and driving a wedge against the ends of the trusses. When these are thus prepared, bolt them together with iron bolts and keys; or much rather, a screw at the end of the bolt. “ Some carpenters cut their girders down the middle, and bolt them together, without trussing, only changing the ends different from what they grew, whereby the grain of the wood is crossed, and it becomes much stronger than if it had con- tinued without sawing down the middle, and thus putting it together. “ Some, in trussing girders, make use of other trusses. “ The girder being thus trussed and put together, proceed in framing the joists, as in common floors. The strongest way being double-tenanting and tusking, as is shown in the hind- ing-joists. Before I leave this part of floors, I shall observe to you, that the best and most workmanlike manner of framing floors, is to plane the upper edge of your joists straight; for the straighter and truer your joists lie, the truer your boarding will lie, which is a great ornament to a mag- nificent room; but if you frame without binding-joists, and lay on bridgings, plane the bridgings, and lay them very straight and level; this care taken will save a great deal of trouble in laying down the boarding, which you are often forced to chip and fur up, to make them lie even, and those furrings are not only troublesome, but are apt to give way, and occasion the creeking of the boards as you walk on them. It would be a good way to turn arches of brick over the ends of the girders of the floors, because if any alteration happens, they are easily taken out. “ I come now to partitions of timber, with their manner of framing. Timber partitions have these properties attend- ing them: they take up less room, and are cheaper than those of brick. “ As to roofs, there is a plate to go round a building, which may or may not be deemed a part of the roof; it may be deemed the foundation and tie of the roof and walls; or it may be taken as only that on which the roof lieth. These plates are to be dovetailed at the angles, and tenanted toge- ther in their length, several ways. The beams of the roof, which serve as girders to the ceiling-floors, (and into which all the principal rafters of the roof are tenanted) are dove- tailed, or what by workmen is termed cogged down, to the plate, which prevents its flying out from the foot of the rafter, whose butment is against it; and in the angles of a building, pieces dovetailed across the angles of the plate, serve to keep it from spreading, and is the foot of the hip. “ The common pitch of roofs is to have the rafter’s length, if it span the building at once, to be three—fourths of the breadth of the building. Some make them flatter, as a pedi- ment pitch; and the old Gothic way was to make them the whole breadth. “ The common pitch is not only unpleasing to the eye, but is attended with this inconvenience; if there is a gutter round the building, the steepness of the roof occasions the rain to come with so sudden a velocity into the pipes which are to convey the water from the gutters, that they fill the gutter; and sometimes so fast, that the water runneth over the covering of the roof, and does great injury to the tim- ber, &c., of the building; and the steeper the roof is, the . longer the rafters, and the greater quantity of timber must be used in the roof, as well as the more weight from the great quantity of timber, and the weakening the principal timbers, by adding more to its own weight. 'fi “ And the pediment pitch is inconvenient, in lying too : flat, for those climates so frequently subject to rain, and ‘ heavy snows, which last would press and vastly incommode 1 the building, and would lie much longer on the roof, its declivity being so small; besides, in keen winds, attended ‘ with rain. the rain would drive in under the covering of slate “ or tiles, and create much decay in the timber. “ Proportion of beams whose bearing varieth; take the following rule: 0%egigtn Scantling in in feet. Inches. 12 6 by 8 16 6} by 8,1! 20 6% by 9 24 7 by 9. 28 7;- by 9: 3‘2 8 by 10 36 8% by 10; 40 8:} by 1 1 44 9 by 12 “ The principal rafter should be nearly as thick at the bottom as the beam, and diminish in its length one-fifth or one—sixth of its breadth; the king-posts should be as thick as the top of the principal rafter, and the breadth according to the bigness of the struts you intend to let into them, the middle part being left something broader than the thickness. “ Struts may diminish, as the rafters do, one-fifth or one- sixth of their length. In placing struts and collar-beams, the dividing the rafter into as many equal parts as you propose bearings, is the rule, because every part of the principal will have its equal distant bearings. “ Purlins are of the same thickness as the principal rafter, and the proportion of the breadth is six to eight; that is, if the rafter be six inches thick, let the purlins be six inches thick, and eight inches broad; if it be nine inches thick, the breadth of the purlins is twelve inches broad, 830. l l Wm“_w1_,v. , _ , CA RPM N '1‘ BY. Fig.1. MT _:: '.—‘_J __ .5::_;,::' ":3;,:: H . - | l . L l 1 L L L.. L L LIMHL F491. .9. 12:9. 10. {"11}. 11 . F111. 12 . 7 'P—fij 4"” "J {MW J JIM—““1 1'29. 13 . F13]. 1/1 . ["13]. 15 . ["13]. 16 . | If r77 “>7A_ L....._...,.:.7J—‘ A ”Mi 7 V 7‘4"”7' [\ ‘7 itfi.vr. , if, 2 r1 ["41]. 17. £111.18. .‘ LT?” 1'13}. .19 . 1'11]. '10. 131:1]. 2/ . ["11]. '1? . f’f’" . x J r’”:"' J 'l‘lil? LONDON [’RLNJNK‘ AND j’liiULL‘JHYN‘L‘ COMPANY ll'lZM'C'L‘ELD CAR‘ 89 CAR “ NB. The purlins are those pieces into which the small rafters are tenanted, and they are tenanted into the principal rafter. Length of purlins is generally from six to eleven feet, not exceeding that length. “ Small rafters: their scantlings two inches and a half, and four inches; three inches, and four inches and a half; and three inches and a half, and five inches; according to the magnitude of the roof and length of the rafters. Small rafters should not exceed seven feet in length in a purlined roof; if it happen that the length of the principal be above fifteen feet, it is best to put in two tier of purlins in the length of the rafter.” In respect to the construction of roofs for coves, he has the following observations: “ The use of coving a room of con- siderable height, is, first, the making of it much lighter than it would otherwise be, if level in the ceiling; the rays of light in a cove are reflected back again into the room, which would be otherwise lost and confused in a roof with a flat ceiling. “Likewise, all rooms with circular roofs or ceilings are more commodious and useful for entertainment, for music, &c. The angles of incidence are always equal to those of reflection; so the undulation of sounds flying on any cove or spherical part of a building, reverberate on the audience; and if spherical, no part of the sphere can receive the vibration, but it will return in the same direction from whence the undulation first began. The reflecting rays of light, and the i-m'erberation of sounds, proceed from the same cause, and from incidents naturally affecting the eye and the ear.” It may be proper here to state, that though the reflection of sound is analogous to that of the rays of light, the laws and modifications by which sound is propagated to the ear, are less perfectly understood: it may, however, be observed, that in vaulted apartments, it is necessary to reduce the pitch of the voice, and to speak slowly and distinctly. The best writers recommend the ceilings of theatres to be arched, as has been practised in some of the most distinguished edifices of this kind in Europe. . This author likewise gives the method of finding the length of hips, both with and without a plan, as shown by j Godfrey Richards, at the end of his Translation of the First ‘ Book of Palladio. The work of Mr. Smith contains, in all, thirty-three plates of carpentry, arranged in the same order as he has treated the subject. Of these, twenty are plates of roofs, some of which are tolerably good examples, and at the end are five plates of timber bridges. His methods of joining-work are shown in the following descriptions and their corresponding diagrams. Plate IV. shows his method of cooking beams down upon the wall-plates; Figure 1, by two dovetails, and Figure 2, by three dovetails. Dovetailing is a very bad method at the best; for, when the taper is small, the shrinking of the timber allows the beam to be drawn out of the socket in proportion to the quantity to which it is reduced in its breadth. The fewer the number of dovetails in the breadth, the weaker will the end of the beam be, or otherwise they must have less taper; and if the number of dovetails are increased, the parts of them formed on the end of the beam will be apt to split off. But, in modern Carpentry, the beam can never be drawn from the wall-plate, as the abutting parts are in a plane perpendicular to the length of the beams. v Figure 3, shows his method of framing wall-plates at the angles, with the diagonal and dragon pieces, where all the timbers appear to be let in flush with each other. This mode is much inferior to the present practice, where both the angle-tie and dragon-piece are fixed above the plates, which position not only allows a much firmer hold one to another, but also a much better support for the hip-rafter to stand upon. Figure 4, represents four different methods, shown by him. for naked flooring. “The first method of framing is that marked A, where the joists are framed flush with the top of the girder; the two cross joists, marked a and b, are called trimming-joists; that marked a is supposed to come against a chimney; that marked 6 is the stairs.” Here he shows that the joists a and I), should be thicker than the common joists, because of the mortising; but with equal reason he should have allowed the joists c, d, e, into which the joists a and b are framed, to have also been stronger; for one mortise in the middle of a. beam will weaken the beam as much as if it had been cut full of mortises. He gives no name to the joists c, d, e, which should have been named, in order to trans- fer the idea from one to another, without circumlocution, or having recourse to description. His next manner of framing floors is that shown at B. “ The six joists marked (2 are the binding-joists framed flush with the under side of the girder, and about three or four inches below the top of the girder, to receive the bridgings, which are those marked m in the floor, and which lie across the binding-joists,” at C. In the other compartment, D, are shown the ceiling-joists, 72, the bridgings being supposed to be removed for the purpose of showing them. Figures 5, 6, 7, 8, he says, show the manner of tenoning the binding-joists, the tenons being generally made double. Figures 9, 10, 11, 12, he observes, are common tenoning, which seems to imply a less sufficient method than the former. These last four examples, with the single tenons on the end of each, are much to be preferred to the double ones on the ends of Figures 5, 6, 7, 8, which are not only difficult to execute, but are calculated to weaken the mortised piece, which is to receive them, by the slanting shoulders of the tenons; his observation is the very reverse of what is now asserted, as he observes, in page 17 of his work, “the strongest way being double tenanting and tusking, as is shown in the binding-joists.” Figures 13, 14, 15, and 16, are exhibited in the third plate of his work, but he does not describe them ; we suppose them to show the method of lengthening beams. The two methods, Figures 15 and 16, are extravagant ideas, being not only difficult to execute, but weak as a tie, and incapable of making a sufficient resistance to a longitudinal strain. Figures 17, 18, 19, 20, 21, 22, 23, 24, 25, are various methods which he shows for trussing girders. He observes, that the trussing pieces or cores are let half into each flitch, and the scantlings of these pieces to be about 4% or 5 inches wide, and 4 inches thick. Figure 18, he says, “is another way, which is by cutting the girder through, and driving a wedge against the ends of the trusses, as the wedge d,- when these are thus prepared, bolt them together with iron bolts and keys, or, much rather, a screw at the end of the bolt.” This method, though not the best, is certainly a tolerable approximation to what may be called good. He does not mention how the pieces a, u, are to be tightened in Figure 17. He observes, that “some in trussing girders, make use of other trusses,” as in Figures 20 and 21. These hardly de- serve comment, being the weakest forms that can be con- ceived. The trussed girders represented by Figures 24 and 25, he claims as his invention, with one inverted arch, which he proposes to be of iron. Nothing could be more unmean— ing than these examples. The observation which he makes in respect to Figure 24, is void of principle, and contrary to mechanical strength; 2 A ’ CAR ~— his words are, “ The upper arched one I take to be of great strength, though the trusses are inverted; for the pressure being upon an arch whose butment is good, I think a great Weight can no way occasion the bending of the girder.” We come now to the British Carpenter. Though Mr. Price’s order of treating his work is not so regular as the method adopted by Smith, his descriptions and observations are very correct ; and, with the exception of a few references, there is hardly anything wrong. This author begins with the scarfing of beams, as repre- sented in Plate V. of our Work, Figures 1, 2, 3, 4, 5, 6. He says that the methods shown by the diagrams 3, 4, 5, 6, are the strongest; perhaps in consequence of their being tabled into one another ; and that represented by Figure 6, has this property, that the pieces may be put together without any waste at the ends; he observes, that it is not his intention to limit the lengths of these scarfings, but only to show the man- ner of tabling the pieces together: he might also have said, that though nothing determinate with regard to the lengths of scarfings could be done, the greater the extent of the joint in the direction of the fibres of the beam, the more will it be disposed to resist separation, though there will be a greater waste of timber. Those represented by Price are much superior to those in Smith’s work. He then describes the method of trussing girders of greater extent than 24 feet, as we have shown in Figures 7 and 8; and proposes that the pieces which are to constitute the core be made of good dry straight-grained English oak, 4 inches by 3, or 6 by 4, as the strength may require, and let half into each piece ; the pieces of the core being inserted in the one half, so as to abut firmly at the ends, and the two flitehes put together so that the internal braces may abut firmly at the ends of the other flitch, and then bolted together, will com- plete the girder ; he prefers that of Figure 8, to Figure 7, as, being divided into three parts, it raises the pitch of the braces, and though the middle part is left untrussed, it may be looked upon as an inflexible solid, as the proportion of the breadth to the length is reduced much nearer to a ratio of equality than the dimensions of the whole beam, the depth being the same in both cases. The flitches, he observes, may be mor- tised through at the lower end of each truss, and the core tightened by wedges driven therein. Girders constructed in the manner of these two examples are much better calculated to perform their office, than those before given by Smith, which are void of every principle of mechanical science. This author then speaks of the method taught by Alberti, as follows :—“ Take two pieces or flitches, being well dried, and turn the but end of the one to the top end of the other, without trussing at all, and bolt or screw them together.” Mr. Price then proceeds to the various joints in roofing, as in Figure 9, which represents thejunctions 0f the struts and principals with a king-post. Figure 10, is another mode, which he uses where the breadth of the bottom of the truss-post will not. allow a right- angled abutment to the direction of the strut: he makes the angle on the end of the tenon, with good reason, equal to the angle made by the shoulder, but on the contrary side, so that the two abutments may contract each other’s etl‘orts in moving the strut up or down on the side of the said post. Figure 11, represents his method of forming the end of the tie-beam and lower end of the principal, so as to form a joint with double mortise and tenon, which, he says, presents greater resistance than when made with single mortise and tenon. Figure 12.—No. 1 and 2, show the proportion which the mortise or tenon ought to have to the breadth of the stuff, either for the joints of roofs or truss partitions, by 90 CAR making the tenon or the mortise one-fourth of the breadth of the whole, and keeping the mortise and tenon in the middle. ' Figure 13. No. 1 and 2, another mode for the same pur- pose, not much in request at the present time. Figure 14. No. 1 and 2, the manner ofjoining the binding- joists and girders in floors, the same as used in the present time, with a tusk or sloping shoulder, and the double resist- ance or butment. , Figure 15. “ No. 1 is called a bridgingfloor, as being framed with a binding or strong joist in every three or four feet distance, and flush to the bottom of the girder, so that when the house is covered in, you pin down your bridgings thereon, and flush with the top of your girder; and this is the best way of carcase-fiooring.” The section of this floor taken transversely across the binding—joists is shown at No. 2, Figure 15. Mr. Price observes, that the best way to lay girders, “is not to lay them over doors or windows, nor too near chimneys ; and, at the same time, to have the boards lie all one way ;” and hence the oblique position of the girder, as here represented, is occasioned by the fireplace. Figure 16. No. 1, a carcase-floor with single joists, or without bridging-joists. These are framed flush with the top of the girder, “and have every third or fourth joist the depth of the girder, and those between more shallow.” No. 2 shows the ends of the joists, and the ceiling—joists framed into the deepjoists. No. 3, the sides of the deep joists, with the pulley-mortises, in order to receive the ceiling-joists. Mr. Price then proceeds to lay down the sides of roofs in plano, and shows the backings of the hips in the same man- ner as has been detailed by Godfrey Richards in the former part of this article, according to Pope’s principle. We shall here transcribe one of his examples, in which he attempts to show, for the first time, a method for finding the joints of purlins upon hip-rafters: his process, which is as follows, is tedious; his diagram and explanation are both obscure and defective, but show some novelty of form and geometrical skill in lines. “ Admit the plan (Plate VI., Figure 1, No. l) was required to be enclosed with a hipped roof: first, find the middle of it, asf; then draw the bases of your several hips, as of, hf, cf; df, and ef; resolve on some pitch or height, as in No. 2, at f g; to this section bring all the bases of your respective hips, as the letters of reference show ; this gives you the length of each respective hip; therefore, from the section No. 2, you describe the skirts round the plan No. l, as a bg, h cg, c d g, deg, and e ag, which form the roof required. “ To find the back of any hip, do thus: Draw a line at pleasure, crossing the base of the hips at right angles, as the line h i, which crosses the base of the hip cf; observe where it passes through the sides of the plan; on the base line of this hip, raise its section from No. l, as cgf; lastly, place one foot of your compasses in the intersection, as at g ; Open the other foot, till it touch the hip cg at its nearest distance; draw a small section till it cross the base, as at 12; so is h h hi the back of that hip ; and is the most exact, and easiest method that ever was delivered jbr this purpose ,- the shadowed part, 0, is the section of the supposed timber the hip is shaped out of, being cut off at right angles with its side and back. \Vhat is said of this explains the hip of; whose back is lm n, and its section P is shaped so as to have the purlin come square against it; the letters of reference show the rest.” “ To find the side joint of a purlin (in case the hip be not shaped as above) so as to cut it bgatemplet, supposing there be no room, or occasion to frame it into the hip—For example, take any two hips from the plan No. l, as ef and CAR 1P1 3 N T RY.) PIC/I TE If. m n W N. wr—v—ir-fih—fir—jr—flv H n I; H TL H . UL H] - 1227.1. 52;. 2. [22/23. r41 m V k 1-1 . 1-1 ' ”9’17 / § i? i { 1 L‘/\ L K/ , ._1 Lu; Lu] x1.1" r_' 1J3 fe'a‘l‘ fl In! 120.5. m r“; Egg": - r «4/ 1 ( i 2 F10 .; .A’U‘ - . 1 I J fiy.7.fi’”2. 1 : 129,9. 3 E 189.12.37.22. 59.12 .Jvf'2. 5 ¢_ : {11:11:11 : 1‘ Byl31172. / 5914 my. . ,, 16915er . E’JJ'N‘Z‘ fir—-H~———~U——-—-H~—--H~——~Lti f :1: ; f 11] I l l I l I LL [Ll F9101M2. mums. CARIPENTJRY . mm (L (2 & cc -" is“ = my. 11V? .5. Fig.1.M 6. :/ : '-—— P 0 X 12;. 1.1V”3- Fly, 2.1V“ 7. [“1'12. .5 . Ff x» z ' K K“. "\- \ t bAR 91 CAR a f; WlllL'I to keep from confusion is transferred as to No. 3, and admit the plan of the purlin to be 0 p ; first, raise the sections of the hips from No. 2, as efg and afg, as the letters show; then raise perpendiculars at 0 and p to the back of the hips, as 0 q and p r ; lastly, draw a line from the point q, and at right angles from the back of the hip eg (as it is so near to a square, or else it should be drawn from the back of a rafter standing at right angles with the sides of the plan) observe where it cuts the base line, as at s ,- draw the line 3 t parallel to the purlin: lastly, draw the line tr. From all which you take the templet Q in T (see No.4) in the follow- ing manner: Draw the line at w in No. 3 at right angles from the side a e, which transfer to No. 4, as u w,- take from No.3 the distances u s and u t, and transfer them to No. 4; take also the distances .2: 0 and mp in No. 3, and transfer them to No. 4; take also the distances 3 q in No. 3, and transfer to No. 4, as so,- lastly, take from No. 3 the distances t 7', and transfer to N0. 4, as tp ; so that Q is the templet to cut the side. and the skirt eag is the templet to cut the back. I think any farther explanation needless, because by a little serious inspection, the reader may see that all the lines necessary to be understood in a roof, are contained in this Plate. “ That is, all the parts of a roof may be cut by templets, as these lines, and the explanations of them, do direct; and although I have shown but one example for the cutting of any purlin that comes against a hip, as explained in him, (Figure 1, No. 1) I hope it will be sufficient, because the method in l, m, 72, cuts off all such difficulties, and is equally strong.” In this description, he is unintelligible, vague, and erro- neous: there is a certain tendency towards the principle, but he loses sight of it. He is negligent in directing his reader to raise perpendiculars at 0 and p, the bases of the two hip- rafters, instead of raisinga section at right angles to the base and to the wall-plate a 6. He tells us to “ draw the line it w in s (which is here No. 3) at right angles from the side a e, which transfer to T (or No. 4) as u w ;” but he makes no use of this line, which is the line on which the width of the tem- plet should have been extended. Then he says : “ Take from s (No. 3) the distances u s and u t, and transfer them to T (No. 4); take also the distances x 0 and xp in S (No. 3), and transfer them to T (No. 4);” but he does not show how the distance between the lines p o and ts are obtained in T (No. 4); and thus, after a long and tedious description, he leaves the construction vague, and obtains nothing but uncer- tainty. We shall here complete what he has unsuccessfully attempted. Let the same plan afe be laid down at No. 5, as at No. 3; draw fw perpendicular, and fg parallel to a e ; make equal to the height of the roof, and join g 10; let p 0 be the place of the purlin, parallel to a 8, meeting the bases of the hips at o and p,- produce p0 to meet to g at q; draw gu perpendicular to wg, meetingfw at u ; parallel to a e, draw tn .9, meeting the bases fa and fe of the hips at t and s. In No. 6, draw U x, which make equal to u g, No. 5; draw T U s and 1’ X0 perpendicular to U X ; make U s, U T, x o, x r, respectively to u s, u t, x 0, mp, and join T P and Sf}; then P o s T is the templet required, or any parallel por- tion of its breadth. _ The reader will observe that this is found by much fewer lines; and there is no occasion for raising the sections of the hips, but only the section of the rafter at right angles to the. wall-plate. No. 7 is another invention of the author of this Dictionary, founded upon the same principle as No. 5 and 6; but the construction is confined to one diagram. thus: Let A B C be the seat of the part of the roof; describe the section C d e as before: draw Cfperpendicular to de, cutting de inf; from C d cut of Cg equal to of; parallel to AB draw k], cutting AC and B C in k and l; likewise draw [21' parallel to AB; perpendicular to k I draw I: m and Zn, cutting hi at m and n,- and join 0 m and C n,- then will the angles at m and 72 of the triangle C m n be those required for forming the end of the purlin, in order to form a junction with the hip-rafter. We now return to Mr. Price, who in laying down the framing of roofs in plano, or in ledgement, begins thus: “ Every man who frames roofs, does first piece his plates, cock or dovetail down his beams on the said plates, and pre- pare pieces on which his hips are to stand; as appears in this plan Q, at Y and Z.” (See Figure 2.) “Then he frames his principals, as R, and likewise his hips, as s, into pieces prepared for them to stand on; and although all these respectively are framed for the generality on the floor, and when in practice is the best way, they are here placed by themselves to avoid confusion. “I hope the pricked lines are enough to show that the skirts T, V, W, X, are laid out agreeably to the plan Q; and in which are shown that one purlin lies above the strut, and the other below it; for if they were all to lie in a right line, in the first place it cuts the stuff to pieces, so as to weaken it still more, and at the same time you lose your pinning. “Here is shown a method to turn up your hips without backing at all; and is thus: your hips being first framed into the pieces they are to stand on, take a broad board, or small panel, lay it on the place where your respective hip stands, and there mortise it as if it was your beam; cut otf the corners of it, so as to make its angles agreeable to your plan, whether square or bevel; lastly, when you come to turn up your hip in framing the skirts, slip this mould, as Y, upon the tenon at the foot of your hip, and then give it a tack with a nail, and the angles of that board will turn up a hip as desired, and is far preferable to any other method whatever. “But because sometimes buildings must be bevel, and necessity requires the beams to be laid so, to miss some chimney or window; therefore let A (Figure 3) represent a bevel plan, whose beams also lie bevel at the time of framing ; and that is just as much as half the beam that the rafter stands on; the skirts B, c, D, E, are the same way shown as before. “I hope it will not be taken ill, my saying that a man must be deprived of sense, who would run into almost endless trouble of cutting his timbers all bevel, unless some unavoid- able necessity require it, but rather use the method I propose in plate E.” (That is, Figure 2 of this article.) The method of laying roofs in plano is first shown by Price. It seems to have been much practised in his time, and indeed till lately; but to perform the work in this way, requires the most ample space, and the utmost care. of the carpenter in placing his timbers; without this it will be difficult to bring the work together with exactness. In the present practice, the timbers may be all cut to their lengths and angles before they are applied to their places, and then they maybe fitted together on the ground, before they are raised on the building. In roofing, his rules for finding the pitch of the rafters for different coverings, are these (page 15 of his work) : “ A leaden covering requires the height two-eighths or one- fourth of the breadth of the beam; a pantile covering, three- eighths ; and plain tiles, four-eighths or one-half, which brings the vertical angle of the roof to a square.” But in the following plate, 11, of his Work, he is not very consistent ; he delivers different rules, which are to the l CAR following purpose : “ divide the breadth into six equal parts for pan-tiles, into seven for slates, and into eight for plain tiles ; then in each of these the whole number, wanting two, will be the height of the roof; that is, pantile g, slates g1, and plain tiles g, of the breadth of the beam.” The following observations, with respect to the trusses of roofs, are very judicious : “ That the less in number the divisions or pieces are, that compose each truss, the stronger it is; for even the shrinking of the wood will let a well-framed truss sag or drop in pro- cess of time; for which reason I cannot help recommending English oak, particularly for king-posts.” He recommends square bolts in preference to round ones ; “for this reason : if you use a round bolt, it must follow the auger, and cannot be helped; by this helping the auger-hole, that is, taking off the corners of the wood, you may draw a strap exceed- ingly close, and at the same time it embraces the grain of the wood in a much firmer manner than a round one can possibly do.” With respect to strapping, he observes; “ If it be objected that there is too much trust reposed on the iron-work, may it not be asked, if any common strap at the bottom of a king-post was ever known to break by continual pressure ? Witness the straps in a theatre, to which is fixed a prodigious weight.” With respect to timbers, he says, ‘.‘ If purlins are used, they ought to be agreeable in number to their supports ;” “but if bridged, need not be regarded.” The following designs, which he shows for the fronts of buildings, which are required to haveithe ground story open, and supported with story-posts, may be useful to some: “In Figure 4, is shown the manner of a timber front, supposed to be open underneath, in form of an arcade. And for such Open fronts, the foundation should be laid on reversed arches, which will strengthen it very much ; by this means, the ground bears between one post or pillar and the other, as well as under the same. “ If on it you would have brickwork, or even stone, then support the bressunnner, as is shown in Figure 5, which manner of framing renders it as strong between the posts, or pillars, as it is directly on the same, and this seems suffi- cient to explain proper bearings for partitions.” Mr. Price then proceeds to circular domes, and in their construction shows, for the first time, how the purlins are to be squared ; his description is as follows : “ Of what has hitherto been described, nothing appears so beautiful when done, as domes or circular roofs ; and, as far as I can perceive, nothing has appeared so difficult in doing, therefore it will be proper to speak something of them.” Plate VII. Figure l.—“Let B represent a plan, in which let I), b, I), be the plate on the supposed wall; and let 0, c, c, be the kirb on which stands a lantern, or cupola; also let a, a, (1, represent the principal ribs. “ From the plan B make the section A; in which the kirb or plate I) should be in two thicknesses; as also that ofc; by which it is made stronger; and indeed the principal ribs would be much better to be in two thicknesses. The best timber for this use is English oak; because abundance of that naturally grows crooked. As to the curve or sweep of this dome A, it is a semicircle; although in that point, every one may use his pleasure; and in it are described the purlins d, e, from which perpendiculars are dropped to the plan B; so thatfis the mould the lower purlins are to be cut out by, before they are shaped or squared for use; and that of g is the mould for the upper purlins. I ‘ather show it with purlins, because under this head may be shown the manner of framing circular roofs in form of a cone. “To shape these purlins, observe, in A, as at d and 9, they are so squared, that the joints of the supposed small ribs are equal. Observe, as at e, the corners of the purlin, from which the perpendiculars are let fall to the plan B. So that your purlin being first cut out to the thickness required, as appears in e, and also to the sweep f; so that k is the mould for the bottom, and l the mould for the top ; by which, and the lines for the corners of the said purlin e, the same may be truly shaped and squared. “ N.B. This particular ought to be well digested, it being a principal observation in a circular roof. “ From the purlin d, in the section A, pcrpendiculars are dropped to the plan B; in which it appears that h is the mould for the top, and ithe mould for the bottom; so may this be squared, which completes the performance. As to other particulars, due inspection Will explain them. If any should say, a dome cannot be done so safe without a cavity as usual, let them view St. Stephen’s, VValbrook, Stock’s-market, built by that great architect, Sir Christopher Wren.” He then shows the method of covering polygonal buildings : Plate VII. Figure 2. “ Let A be the plan, the upper part of which is half an octagon. It is observable that a circular roof, as B, should extend no farther than the upright of its support, and there made so as to carry ott'the water; whereas an ogee roof, as C, may extend to the extremity of the cor- nice, without injury to its strength, or offence to the eye of the most curious: also, a hollow roof, as D, may extend to the extremity of the cornice. “It appears to me, that many angles of a cupola give it beauty; therefore the sweep E (Figure 2) is a regular curve, the base line I}: being taken from the angle of the octagon in the plan A, as at l k. This curve, B, is divided into a number of equal parts, in order to trace the common rib, F, from the said angular rib E: observe, in A, the base of the common rib,f], which is placed in F, as from I to j: con- tinue the perpendicular, l, at pleasure; take the base 1 k in E, on which are the perpendiculars dropped from the curve, and observe to place that distance, I: l in F, from] in F, to any part where it cuts the perpendicular l in F, as at m; from these divisions raise perpendiculars, so by continuing the base lines from the divisions in 1-1, to these perpendiculars in F, their intersection or meeting is a curve, or S‘Vt‘t'p, exactly agreeable, and which, indeed, may serve as a standard rule to trace any moulding whatever. “ To back the said angle-bracket, I), observe to describe the thickness of it on your plan, as in A at 1:, which shows how much your mould must be shifted, as may appear in I). This also may be observed to be a general rule for the backing of any bracket.” These methods are certainly founded on truth, but his diagrams are not laid down in the most obvious way; being so scattered as not only to be tiresome to the eye, but to occasion also a long and tedious description. He then pro- ceeds with the centerings of-groins, as follows : Figure 3. “Let A be the plan of a vault to be centered for groins. At a,b,c.d, are piers, generally prepared in with the foundation, which bearthe weight of the brickwork. First, resolve on the curve you would have, as (160, being a. semi-circle, which is shown by the section B. Begin in A at dec; centre through as it were a common vault, and board it; which being done, to make your groin set centres, as from a to c, and from b to (I, divide the curve dec into four equal parts, as at g andf; so are 9 cf small centres, you will want to nail on the centres first boarded, whose place or plan is at It; these small Centres may be put in at pleasure, according to the bearing of your boards, that is, as to the distance between arch centre. To make your groin straight on its base, at some little height over the centres, strain a line from :3 to c, CARI’ENT RY. ’ 10mm m. I) mmzmummumumm Immmm "\ ""' u HHNH'!I[HIll|IIIHI|WHIUHIIIIIHIJEIM “IN I‘ ‘ “Y fay“ (5 ' m ,m u WV; J‘ ‘. LELS 5. __________ ‘ It? , ;/ . \‘1‘ / \ 1 ‘3 ' };‘ -' 71 p j gt: -~—‘ I” / r 7 1- / u¢ M/ ///./x 1/1,”, ,//;/ fl 1 I \\\\\\ \ \\ T i I / 20% MM // If L_ L k. /-...'.2/ ':,—'!:'.‘.N4.1. ("’WM'I‘AN‘K. 1 {.ML" 'Ei CAR 93 CAR or from d to a, from which drop perpendiculars on your boarding, first fixed at as many places as you please ; there drive in nails, and bend a straight rod till it touch them all; and then, with a pencil or chalk, describe the curve so formed, to which bring the boards to be nailed on these little centres, and their joints will form a straight groin.” Figure 4. “ Let C be a plan of greater extent, and which suppose to be supported by two piers, as j; l. The section D is composed of entire semicircles, then consequently your curves in the section E will be elliptical, as b n d, and may be described with a trammel. \Vhat was said in A explains this at one View. “ If these pillars should be in the way, View the plan and sections again: first, form the principal curve, as D at a gh 6, being an ellipsis, so that the centres will be a Gothic sweep against the windows, as ega: trace the curve dh b in E, agreeable to eg a in D, with which centre it, as shown in A, and make good your groins to the sides: lastly, make a flat centre, as at g h ih, which flatness is shown in either of the profiles or sections D and E, and fix it on your centres before completed, which doubtless due inspection will make plain, and hereby you avoid the pillars, which are equally firm. “ NB. The cause of these centres against the windows being a Gothic arch, proceeds from their making part of the whole sweep or arch, which though it does not add to its beauty, it does to its strength in a particular manner.” After showing how to find the groined lines, as it were by a mere mechanical process, the method of finding the groined lines on the body centre, he then shows how the same may be found upon true geometrical principles, which may be looked upon as the foundation of all kinds of cylindrical soflits. “ Regarding variety, I have given here another method for vaults, and which, indeed, may give more pleasure to the reader, as being a curiosity never before published, and may appear more intelligible than that in the foregoing.” Figure 5. “ View the plan G and its section H, which is composed of entire semicircles, as bfe : see also the section I, which is 'an ellipsis traced from bf e in H; but for use, nothing is more true than the trammel. “ See this plan again, and also its section I, from which is described the curvilinear face K, and also the face of the semicircular arches, as L, all being alike. And this is what I call a more accurate method for finding the groin, so as to be straight over its base, and at the same time gives a standard rule whereby to account for any curve, or face of a ceiling whatever. The curve in I is divided regularly, though seem- ingly into unequal parts, which being drawn to the groin in the plan G, as appears by the figures 1, 2, 3, 4, 5, 6, 7, 8, 9, and which are transferred into L at l, 2, 3, Ste. Also the circle bfe in H is divided into eighteen equal parts; the half consequently into nine, which appears from I) to e in L. This method doubtless will be plain, and therefore needs no far- ther explanation. “ That of K belongs to the section 1, extended as it were, and that of L belongs to one of the small arches of H, also stretched out, they being all alike.” Here it must be observed, that he has stretched out the piers, which are of no use, the covering only being wanted, and he has extended all the compartments of the plan in plane at K, which is absurd, one of each being all that is necessary; for they cannot be extended in contiguity, nor any two contiguous parts on the plan, though each adjoining Dart may be done separately. “ N.B. To find the groin by a more common method, do thus: Erect a straight piece of a board, or the like, on the zorner of the pier the groin springs from, and drive in a nail 2 B at the point of the groin’s meeting, on which fasten one end of a chalked line, straining it tight, slide it down the side of the said straight piece, and it will form the groin so as to stand perpendicularly over its base.” Mr. Price then proceeds to the methods of covering the parts of coved ceilings adjoining the angles, and also the coverings of domes, as follows: Plate VIII. Figure 1. “ Suppose M to be the plan of a ceiling, as a l) c d, and it is required 1to have a large frame, gulcchi, or pannel.—First, produce some side or end of the room, as N. Let it. be required to describe the curvilinear face of the cove. The extent of the end of the said room is a bfe, and it is coved one-fourth part of the height, at m b. The said frame or panel being 9 h; the quarter circle-m g is divided into eight equal parts, which are trans- ferred to P, so that m g h l is the face of 0, as stretched or extended out, on which anything proposed to be described therein may be truly performed. Figure 2. “In Q is shown the plan of a niche, or dome: if a niche, let it he demanded to be fineered with walnut- tree, 860. If a dome, let it be required to be covered with boards or lead. Divide it into any number of parts, as here into nine, which transfer to s, as appears from h to l. Describe the section also, as R, being a quarter of a circle, which divide into any number of parts, as here into five, as is shown in the figure from h to 2', which transfer in the plan Q from a tof; middle some one division, as from 4 to 5; then take those distances from R, and transfer them to s, as from fto 5, so that each division is halved or middled, asfa,fa : on these lines place the distances from Q, as at e, d, c, l), to l, 2, 3, 4, in s, and these will form such curves as shall meet. “ N.B. The more parts it is divided into, the better and truer it will be performed.” In this description, he is far from being clear, as we shall here explain. “ Take the distances from R, and transfer them to s, asfrom f to 5.” But the extent of the line from fto a at s does not contain the whole stretch of the arch hi 0f the section R, as it contains only four of the equal parts, whereas there are five; one part should have been described to be below the linefff; &c., as the diagram s shows. The words “ so that each division is halved, as,fa, fa,” (30., have no (meaning. “ On these lines place the distancesfrom Q, as at e, d, c, l), to l, 2, 3, 4, in s, and these willform such curves as shall meet .-” this is extremely obscure, and ought to have been thus described: From the points I) c, d e, in Q, describe the several arcs meeting each of the radii afand a 4; then at s, through the divisions, 1,2, 3, 4, draw lines at right . angles; upon these lines, and on each side of the said points, 1, 2, 3, 4, set off the several arcs at Q, beginning withf4, at the bottom of S, and through the points on each side of the linefa describe the two curves, and the space comprehended between them and the bottom line is the board required. It must be observed, that though it is sometimes conve- nient to detach the parts of a diagram when it Would occupy too much space, it is by no means so obvious as one con- nected figure. In this respect, Mr. Price is very obscure, in transferring to so many different figures. He then shows the nature of oblique or rampant arches, the tracing of, and the manner of finding the base or seat of the angle ribs of an annular groin, as follows: Figure 3. “ That of A, is supposed to be the mitre-bracket of a cove, whose projection is b‘c; and the height thereof \ is a l); the curve being a segment, or part of a circle, let it he demanded to trace a curve from it, as B, which shall be agreeable thereto, if applied as a common bracket, e d being its height, as before, and ef its projection; first, divide the CAR 94 CAR given curve A, into a number of parts, or take points thereon promiscuously, which will answer as well. From these divi- sions, or points, drop perpendiculars to some straight line, as that of a c, observing their meeting with the said line a c; and in practice take off all these distances on a lath, or rod, applying the proper end thereof to the projection of the com- mon bracket B, as f; observing where the other end passes through the perpendicular line e d, as at 9; there raise indefinite perpendiculars from the said points, then draw the line df. Lastly, transfer the distances, as from the straight line a c, in A, to the figures, to that of df in B; which, no doubt, inspection will explain, more especially if the letters and figures be duly observed. “ Now view the same figure A again; and admit it were the curve of a common bracket, let it be demanded to trace a mitre or angle bracket from it, as 0; g It being its height as before, and hi its projection (the method of finding which in either case, no doubt, will be well known to every one :) take the line, as ac in A, which in practice (as was before observed) I suppose to be on a rod, or lath, with its divisions, or points on it, and transfer it to C, as gk; then draw the line 9 i; lastly, from the said points on the line 9 k, draw base lines, observing their meeting the line 9 i; at which respective places raise perpendiculars, and transfer your several heights from A, as before, observing to place each in its due position. And although the abundance of points should render this method somewhat confused, it may be evaded by making but few points, and driving nails therein, round which a straight lath being bent till it touch them all, the curve may be described with a pencil, &c. “ N.B. This may serve as a general rule for all such curves as are not regular, or cannot be formed with a tram- mel, supposing either to be the given curve. The principal curve being formed on any plain superficies, it may be taken off on a lath, as before was observed; and by it the required curve may be described on a piece of slit deal, &c., of a width equal to the deflection of the arch from a straight line, with an allowance of wood capable of holding it together. Figure 4. “ That of D, represents a common bracket for a plastered cornice, whose shape the plasterer ought always to be consulted for: let it be required to trace a corner, or angle-bracket from it, as E; first, draw base lines from the respective angles a, I), c, d, to the line i r, as l, 2, 3, 4; also perpendiculars to the line 7' s, as 5, 6, 7, 8 ; and (because an example for finding the projecture of the angle or mitre bracket, may be required) observe to make r u equal to r s ,- so is u s the projecture of the said angle or mitre bracket; and the points will be 20, x, 3/, 2; so that by transferring this said line with its points as before to E, as also those of the height as before, draw perpendicular and base lines, when, as no doubt inspection shows, their meeting gives the shape of the bracket as desired, and this also may serve as a standard rule in any such case. As to shifting this mould (in practice) so as to give the said angle-bracket its true back, there seems to have been enough said in plate P. “ Such things as the construction and use of lines, are not conceived by every one; therefore, because I would omit nothing that I think would prove useful, I have inserted several more examples of t‘acery, the knowledge of which seems indispensably necessary. Figure 5. “ That of T is a regular semicircle, as a I) c, from which is traced the raking (or rampant) one U~; that of W is a regular ellipsis, as def; from which is traced the raking one x; that of Y is a regular segment (or part of a circle) asg/ti, from which is traced the raking one z; the man- ner whereof being so plain, a farther explanation seems needless. “ As to the particular use of this kind of arches, I must leave to the determination of the curious, and have nothing farther to say on that head, than that if occasion require either of them to be executed, there is no other true way to describe them. Figure 6. “ That of F is a plan of circular groins, whose extent is a bed, an example of which may be seen in St. Clement’s Danes, Strand, and in several other circular build- ings ; and, in my opinion, is a curiosity worthy of regard. To find the plan of these groins, do thus: Divide from a to 6, into a number of parts, as into ten; the lines a b and dc being continued, meet in a point as 9, being the centre of the curves (1 d and b c ; from which strike curves from the points in a b to do : divide also from a to d, into ten parts, which being drawn to the centre 9, divides the line b 0 into the same number of parts equally; so that the meeting of these lines is the plan of the groins, as a e c and b e d, and their upright is H, I, K, L, each being traced from the semicircle a bf in G, being the principal curve. As to the method whereby it is done, enough has been said of the foregoing examples to explain it; the letters of reference show plainly what part of the plan each curve belongs to, which being bent agree- able thereto, will strictly correspond with each other. “N.B. If the principal curve had been a segment, or part of a circle, or an ellipsis, the method of performing would have been the same. “ This plan would be difficult in performance, if required to be ribbed with timber for plastering, but if to be centered for brickwork, it would be much easier; because the centres might be placed as from the line a b to that of c d, as in a common vanlt. The curves of each centre would be dif- ferent, on account of its being taper, but the height is equal; these centres should be boarded as others are, the boards requiring to be taper only. “ To make groins so as to hang over the plan, the sides a b e and c de must not be centered as usual; but have ribs agreeable to the plan, and placed horizontally, so that the boards would stand as it were upright; as in domes, which was explained in the foregoing plates, which shows the method for finding the curvilinear form of any ceiling. “N.B. The foregoing must be well understood, in order to describe on the centres first boarded, the accura e curve of the groin; which can be done by no other method than is there shown. “ If this plan were to be executed with ribs of timber for plastering, then the groins must be performed by the methods, as will be hereafter inserted, for the twisted rails for staircases, on account of their plan not being a regular curve.” This method of constructing an annular groin, is of no other use than that of finding the seats of the lines of con- Course of the meeting of the curved sideS. It does not show how the boarding is to be formed geometrically, neither does it give the least idea of constructing the ribs of a plaster groin. The line of concourse of the two sides may be obtained by plumbing up from the base, but even this cir- cumstance is not mentioned by Mr.Priee, nor any other application of this construction. If it were required to con- struct the ribbing for a plaster groin, the method here shown is perfectly adapted to the formation of the ribs in thick- nesses, as the whole of the ribs round the curves are extended in plano. But the glueing up of the ribs in thicknesses is altogether nugatory, when applied to the purposes of car- pentry. Another mode, which we would propose, in order to bring this method into use in groin ribbing, is, to get the ribs cut into two thicknesses, say lfi-inch stutf, and kerf each of them from one side; then put the two kerfed sides toge- L Puma VZZI CARPE N TRY . \\ a. 0. WI. 1 . ........ a my ‘ _ ..,. .0. ..,b BIG COMPANY -_ LI'IJI'IEI) CAR 95 CAR ther, and nail or bolt them to the curve: to prevent them from extending before they are fixed, nail a temporary piece across the two extremities, and set them in their places; then when the other ribs are nailed against them, they will remain firm, and this without much trouble of construction. —In this operation, the kerfs must run in lines perpen- dicular to the base, otherwise they will not bend to the plan. . A TABLE FOR THE SCANTLINGS OF TIMBER. A Proportion for Timbers for small Buildings. A Proportion for Timbers for large Buildings. Bearing Posts of Fir Bearing Posts of Oak Bearing Posts of Fir Bearing Posts of Oak Height Scantling Height Scantling Height Scantling Height Scantling if 8 feet 4 in. square if 10 feet 6 in. square if 8 feet 5 in. square if 8 feet 8 in. square 10 5 12 8 12 8 12 12 12 6 14 10 16 10 16 16 . Girders of Fir Girders of Oak Girders of Fir Girders of Oak Bearing Scantling Bearing Scantling Bearing Scantling Bearing Scantling if 16 feet 8 in. by 11 if 16 feet 10 in. by 13 if 16 feet 9% in. by 13 if 16 feet 12 in by 14 20 10 12% 20 12 14 20 12 14 20 15 15 24 12 14 24 14 15 24 13% 15 24 18 16 J oists of Fir J oists of Oak J oists of Fir J oists of Oak Bearing Scantling Bearing Scantling Bearing Scantling Bearing Scantling if 6 feet 5 in. by 2-,1 if 6 feet 5 in.by 3 if 6 feet 5 in. by 3 if 6 feet 6 in. by 3 9 612- 2‘ 9 75 3 9 7% 3 9 9 3 12 8 2% 12 10 3 12 10 3 12 12 3 ‘ Bridgings of Fir Bi-idgings of Oak Bridgings of Fir Bridgings of Oak Bearing Scantling Bearing Scantllng Bearing Scantling Bearing Scantling if 6 feet 4 in. by 2% if 6 feet 4 in. by 3 if 6 feet 4 in. by 3 if 6 feet 5 in. by 3% 8 5 2% 8 5% 3 8 5% 3 8 6% 3* 10 6 3 10 7 3 10 7 3 10 8 3%. Small Rafters of Fir Small Rafters of Oak Small Rafters of Fir Small Rafters of Oak Bearing Scantling Bearing Scantling Bearing scantling Bearing scantling if 8 feet 3% in. by 2% if 8 feet 4% in. by 3 if 8 feet 4% in. by 3 if 8 feet 5% in. by 3 10 412. 2% 10 5k 3 10 5% 3 10 7 3 12 5% 2% l2 6% 3 12 6% 3 12 9 3 Beams of Fir, or Ties Beams of Oak, or Ties Beams of Fir, or Ties Beams of Oak, or Ties Length Scantling Length Scantling Length Scantling Length Scantling if 30 feet 6 in. by 7 if 30 feet 7 in.by 8 if 30 feet 7 in. by 8 if 30 feet 8 in.by 9 45 9 8% 45 10 115 45 10 11% 45 ll' 12% 60 12 11 60 13 15 60 13 15 60 14 16 Principal Rafters of Fir Principal Rafters of Oak Principal Rafters of Fir Principal Rafters of Oak Scantling Scantling Scantling Scaiitling Length Top Bottom Length Top Bottom Length Top Bottom Length Top Bottom if 24 ft. 5in.&6 6in. &7 if 24 ft. 7in. 6:8 8in.&9 if 24 ft. 7in. 5:8 8in.&9 if 24 ft. Sin. &9 9in.&10 36 6g 8 8 10 36 8 9 9 10; 36 8 9 9 105 36 9 10 10 12 48 8 10 10 12 48 9 10 10 12 48 9 10 10 12 48 10 12 12 14 “Although this table seems so plain as to need no expla- nation, it may not be amiss to observe some particulars, such as that all binding or strong joists ought to be half as thick again as common joists; that is, if a common joist be given three inches thick, a binding-joist should be four inches and a half thick, although the same depth. “ Observe also, that if conveniency do not allow of posts in partitions being square, in such cases, multiply the square of the side of the posts, as here given, by itself: for instance, if it be six inches square, then as six times six is thirty-six, consequently to keep this post nearly to the same strength, find some number that shall agree thereto; as suppose the partition to be four inches thick, then let your post be nine inches the other way, so that nine times four is thirty-six, being the same as six times six; so that the strength is nearly the same, although being equal in its squares is best for the strength. “Posts that- go the height of two or three stories, need not hold this proportion, because at every floor it will meet Wltll a tie; admit a post was required of thirty feet high, and in this height there were three stories, two of ten feet, and one of eight. Look for posts of fir of ten feet high, their scantling is five inches square, 2'. e. twenty-five square inches ; which double for the two stories. “ And take also that of eight feet high, being four inches square, 2’. e. sixteen square inches, all which being added together, make sixty-four square inches; so that such a post would be eight inches square. On occaSion it may be lessened in each story as it rises. . “ I do not insist that the scantlings of timber ought to be exactly as by this table is expressed, but may be varied in some respects, as the workmen shall see fit; the reason of its being inserted, is in consideration of the scanthngs' of timber, as formerly settled by act of parliament, .and which, if compared, will prove the necessity and use of this table. “ As to plates on walls, or bressummers to supportwalls, I do not find they can come into any regular proportion, as the rest do, therefore must be left to discretion. “And as I have herein described a great variety of the principal things requisite to be known by every carpenter, I shall conclude this part with my wishes that it may prove as useful as my earnest endeavours have been to make it so.” CAR 96 . CAR / It is singular that in the foregoing table, the oak scantlings are greater than those of fir. Oak is more cohesive than fir, but fir is less compressible by forces acting in the direction of the fibres; oak is therefore more fit for ties, and fir for struts, or straining pieces. But Mr. Price, in this table, inconsiderately and indiscriminately makes the oak scantlings larger than those of fir. The following observations, in the introduction to Price’s work, are very judicious, and worthy of transcription. “ Nevertheless, it may not be improper, in this place, to mention some general observations. There is a moisture in all timber; therefore all bearing timber Ought to have a moderate camber, or roundness: for till that moisture is in some sort dried out, the said timber will sag with its own weight; and that chiefly is the reason girders are trussed when used, as in its place will be shown. But here observe, that girders are best trussed when they are first sawn out, for by their drying and shrinking, it tightens the trusses in them yet more. “ Observe also, that all beams, or ties, be cut, or forced in framing, to a camber, or roundness, such as an inch in the length of’eighteen feet; and that principal rafters be also cut, or forced up to a camber, or roundness, as before: the reason of this is, all trusses, though ever so well framed, by the shrinking of the timber, and weight of the covering, will sag, and sometimes so much as to offend the eye of the beholder; so that by this preparation your truss will ever appear well. “ Also observe, that all case-bays, either in floors or roofs, .do not exceed twelve feet if possible; that is, do not let your joists in floors, your purlins in roofs, 8w. exceed twelve feet in their length, or bearing; but rather let the hearing be. eight, nine, or ten feet ;- which should be observed in forming a plan. “Also, in bridging-floors, do not place your binding or strong joists above three, four, or five feet apart; and that your bridgings or common joists are not above ten or twelve inches apart, that is, between one joist and the other. “ Here also observe, never to make double tenants or tenons for bearing uses, such as bindingejoists, common joists, or purlins; for, in the first place, it weakens very much what- ever you frame it into; and, in the second place, it is a rarity to have a draught in both tenons, that is, to draw your joint close by the pin; for the said pin, by passing through both tenons, (if there is a draught to each,) must bend so much, that without the pin be as tough as wire, it must needs break in driving, and consequently do more hurt than good.” We are now come to Mr. Batty Langley, in whose nume- rous publications are to be found many particulars relating to Carpentry. In his Builder's Complete Assistant, published 1738, page H7, the fourth edition, he has the following observations :— “When partitions have solid bearings throughout their whole extent, they have no need to be trussed; but when they can be supported but in some particular places, then they require to be trussed in such a manner, that the whole weight shall rest perpendicularly upon the places appointed for their support, and nowhere else. Partitions are made of diiferent heights, to carry one, two, or more floors, as the kinds of buildings require. “ The first things to be considered in works of this kind arc—the weight that is to be supported, the goodness and kind of timber that is to be employed, and proper scantlings necessary for that purpose.” So far his observations are tolerable; but his subsequent rea- sonings are drawn rather from his own caprice, than from the principles of science, as will be seen in the following quotations: “ The strength of timber in general is always in propor- tion to the quantity of solid matter it contains. The quan- tity of solid matter in timber is always more or less, as the timber is more or less heavy; hence it is, that all heavy woods, as oak, box, mahogany, lignum-vitae, &c., are stronger than elder, deal, sycamore, &c., which are lighter or (rather) less heavy; and, indeed, for the same reason, iron is not so strong as steel, which is heavier than iron; and steel is not so strong as brass or copper, which are both heavier than steel. To prove this, make two equal cubes of any two kinds of timber, suppose the one of fir, the other of oak; weigh them singly, and note their respective weights; this done, prepare two pieces of the same timbers, of equal lengths, suppose each five feet in length, and let each be tried up as nearly square as can be, but to such scantlings, that the weight of a piece of oak may be to the weight of a piece of fir, as the cube of oak is to the cube of fir; then those two pieces being laid horizontally hollow, with equal bearings, and being loaded'in their middles with increased equal weights, it will be seen that they will bend or sag equally, which is a demonstration that their strengths are to each other as the quantity of solid matter contained in them.” This is reasoning only from conjecture, and therefore the consequence must be erroneous. The relation between weight and strength is not general. In some instances the very reverse takes place to what this author asserts. “ As the whole weight on partitions is supported by the principal post, their scantlings must be first considered, and this should be done in two different manners, viz., first, when the quarters, commonly called studs, are to be filled with brickwork, and rendered thereon; and, lastly, when to be lathed and plastered on both sides. ' “ When the quarters are to be filled between with brick- work, the thickness of the principal posts should be as much less than the breadth of a brick, as twice the thickness of a. lath; so that when these posts are lathed to hold on the ren- dering, the laths on both sides may be flush with the surfaces of the brickwork. And to give these posts a sufficient strength, their breadth must be increased at discretion; but when the quarters are to be lathed on both sides, or when wainscoting is to be placed against the partitioning, then the thickness of the posts may be made greater at pleasure. The usual scantlings for the principal posts of fir, of 8 feet in height, is 4 or 5 inches square; of 10 feet in height, 5 or 6 inches square; of 12 feet in height, 6 or 7 inches square; of H feet in height, 7 or S eight inches square; of 16 feet in height, from S) to 10 inches square. But these last, in my opinion, are full large, where no very great weight is to be supported. As oak is much stronger than fir, the scantling of oak-posts need not be so large as those of fir; and there- fore the scantlings assigned by Mr. Price, in his Treatise of Carpentry, are absurd, as being much larger than those he has assigned for lir-roofs. To find the just scantling of oaken posts that shall have the same strength of any given tir-posts, this is the rule: “ As the weight of a cube of fir is to the weight of a cube of oak of the same magnitude, so is the area of the square end of any lir-post to the area of the end of an oaken post, and whose square root is equal to the side of the oaken post required.” He might as well have asserted, that as the weight of a cube of steel is to the weight of a cube of lead, .50 is the area of the square end of any steel bar to the area of the end of any lcaden bar; which proposition would have led to mani- fest falsehood. ln the rule he has not mentioned the length, which, if taken into the consideration, would bring a very CAR‘ w CAR different result; as timber is considerably weakened by its length. The rule is therefore not only erroneous, but defec- tive also. With respect to Mr. Price's table, we have only to observe that as there are no details of experiments on the strength of oak and fir, when employed as posts, we cannot decide in this matter. It must, however, be observed, that the fibres of fir are straight, whilst those of oak are very crooked; whence it is reasonable to conclude that a body with straight fibres is better adapted to resist compression than one whose fibres are crooked; and this supposition is strengthened, if not con- firmed, by the experiments of Muchenbreuk, who asserts, that though oak will suspend half as much again as fir, it 3 will not, as a pillar, support two-thirds of that load. N ow if ‘ we can put any dependence on these experiments, fir should be used in cases of compression, as in story-posts, partitions, &c., and oak in cases of tension, as ties, truss-posts, Sac. “ The distances of principal posts are generally about ten feet, and of the quarters about fourteen inches; but when they are to be lathed on both sides, the distances of the quar- ters should be such as will be agreeable to the lengths of the laths, otherwise there will be a great waste in the laths. The thicknesses of ground-plates and risings are generally from two inches and a half to four inches, and are scarfed together.” With respect to lintels, bond-timbers, and naked flooring, he observes as follows: “ For the better disposing of the weight imposed on girders, lintels should always be firmly bedded on a sufficient number of short pieces of oak, laid across the walls, vul- garly called templets, which are of excellent use. “ Let girders be laid in piers, or in lintels over windows; it will in both these cases be commendable to turn small arches over their ends, that in case their ends are first decayed, they may be renewed at pleasure, without disturb- , ing any part of the brickwork; and for their preservation, anoint their ends with melted pitch and grease, viz., of pitch four, of grease one; and, indeed, were lintels to be covered with pitch and grease also, it would contribute very greatly to their duration. “ In the carrying up the several walls of buildings, it should be carefully observed, to lay in bond-timbers on tem- plets, as aforesaid, at every six or seven feet in height, cogged down and braced together with diagonal pieces at every angle, which, will bind the whole together in the most substantial manner, and prevent fractures by unequal settlement. “ The distances of girders should never exceed twelve feet, and their scantlings must be proportioned according to their lengths; as by experience it is known that a scantling of 11 inches by 8 inches is sufficient for a fir-girder of 10 feet in length, the area of whose end is 88 inches, it is very easy to find the proper scantling for a girder of any greater length, suppose 20 feet, by this rule: As 10 feet, the length of the first girder, is to 88, the area of its end, so is 20 feet, the length of the second girder, to 176, the area of its end. “ Now to find its scantlings, that, being multiplied into each other, shall produce 176 inches, the area found, one of them must be given, viz., either the depth or thickness. In this example, the given depth shall be 12 inches, therefore divide 176 by 12, and the quotient is 14 inches and two-thirds, which is the other scantling, or breadth required.” . In this example, the length is regarded; but in the first instance, in the dimensions of the given piece, he does not say which of them is the depth. This should have been noticed, as the strength of a piece of wood with its greater dimension diSposed vertically, is to the strength of the same 2 c piece with its less dimension in the same position, as the greater dimension is to the less. Another uncertainty will arise from the proportion ; for if the scantlings are not in the same ratio, the strength will be more or less in the one, as the vertical dimension may be greater in proportion to the horizontal than those of the other piece. Mr. Langley should have noticed this also. He has assumed 12 inches as the depth, then finds the breadth to be 14 inches and two-thirds, by dividing 176 by 12; but this is only guessing at the pro- portion, which might be properly stated by the rules of algebra, as follows: What two numbers are those, whose pro- duct is 176, and whose proportion is in the ratio of 11 to 8? Take a: for the greater, andy for the less of the two num- bers; then we have ' a: y = 176 a: : y : : 11 : 8 8 x = 11 3/ From the first equation we have 176 x = — 3/ ll y and from the second, a: : — 8 Therefore, 11 3/ __ 176 8 — 3/ ll 3/2 : 1408 3/2 : 128 consequently, y = (128) 71,- : 11.3 nearly; and by dividing by 11.3 inches, the depth, we should then have the breadth. \Ve have here taken it for granted, that the former part of his proposition is true, but, indeed, nothing can be more erroneous; for their lengths are not in the ratio of the areas of their sections, when the pieces are of equal strength, but their lengths are in the ratio of the breadth multiplied into the square of the depth ; or if their sections be similar figures, the lengths will be in the same ratio as the cubes of their vertical dimensions. By this method, if two pieces of timber were of the same thickness, and of equal strength, the lengths would be as the depths; whereas they are as the square of the depths. So that, besides the ambi— guity of his rule, allowing the data to be properly fixed, the results would give the dimensions of the section much too great, in calculating from a given beam of less length to one of a greater; and much too small in calculating from a greater length to a smaller one. In calculating the strength of beams, it is material to recollect the loss of strength in large beams, occasioned by their weight, as the strength of beams is not in the same ratio with the stress occasioned by their weights, but in a much less degree: but as we shall hereafter discuss this subject, under the article STRENGTH OE‘ MATERIALS, we shall for the present take leave of the sub- ject, and return to our author. “ To prevent the sagging of short girders, it is usual to cut them camber; that is, to cut them with an angle in the midst of their lengths, so that their middles shall rise above the level of their ends, as many half inches as the girder contains times ten feet. And, indeed, girders of the greatest length, although trussed, should be cut camber in the same manner.” It may be proper here to notice, that the cambering of gir- ders does not prevent them from sagging, though perhaps it may obviate their becoming concave on the upper side. \Vith regard to trussing girders, the flitches should not be cut to a camber, but brought into this state in the act of trussing. CAB .98 CAR l “ The next order is joists, of which there are five kinds, viz., common-joists, binding-joists, trimming-joists, bridging- joists, and ceiling-joists. First, common-joists are used in ordinary buildings, whose scantlings in fir are generally made as fellows, viz.-: Common joists, as used in small buildings. Length Scantling in in _ feet. inches. 6 6;- by 2 9 65 by 2 12 8 by 2 In this table, it may be observed, the increase is not very regular: why should the scantling of the joist 9 feet in length, be no more than that of 6 feet? This must be a. mistake. “ But in large buildings, the scantlings are much larger, ' where it is common to make joists of the following dimensions: Common joists, as employed in large buildings. Length Scantling in in feet. inches. 6 5 by 3 9 7% by 3 12 10 by 3 “ As oak is much heavier than fir, it is customary to make the scantlings of oak-joists larger than those of fir ; but I believe it to be entirely wrong, for the reason before given, relating to the strength of timber. “ Secondly, binding-joists are generally made half as thick again as common-joists of the same lengths;” and “ are framed flush with the under surface of the girders, to receive the ceiling-joists, and about 3 or 4 inches below their upper sur- faces, to receive the bridging-joists ; so that the upper surfaces of the bridging-joists may be exactly flush or level with the girder to receive the boarding. “ The distances that binding-joists should be laid at, should not exceed 6 feet, though some lay them at greater distances, which is not so well, because the bridging and ceiling-joists must be made of larger scantlings to carry the weight of the ceiling and boarding, and consequently a greater quantity of timber must be employed. But, however, as this particular is at the will of the carpenter, I shall only add, that the scantlings for bridgings of fir, to their several lengths, are as follOw: Bridgings of fir. Bearing. Scantling. feet inches by inches 6 4 by 3 8 5 by 3 10 7 by 3 “ Their distances from each other, about 12 or 14 inches.” He then proceeds with roofs, as follows: “ As the common method of framing the trusses of prin- cipal rafters of large roofs, is to lay the whole weight of the beam and covering upon the feet, they therefore should be secured at the beam with iron straps, to prevent their flying out, in case that the ,tenons should fail; but as I apprehend this method was capable of improvement, I therefore con- sidered, that if under the lower parts of principal rafters, there be discharging struts framed into the beams and pricked posts, they will discharge the principal rafters from the greatest part of the whole weight.” This is certainly an improvement, but not of his, as it is to be found in Price’s Carpentry, among his designs of roofs; it gives an additional security to the principal rafters, so that if the outer abutment should fail, the roof will still be sup- ported by the inner one. He gives the scantlings of fir-timbers in a roof, as follows: Beams. Length Scantling. feet inches by inches. ‘80 6 by 7 45 9 by 7 60 10 by 8; 75 10% by 10 90 12 by 10;, Principal Rafters. Length Scantling at Top. Scantling at Bottom. feet inches by inches. inches by inches. 21 5 by 6 7 by 36 7 by 6 9 by 7 41 9 by 7 10 by 7} 60 10 by 74- 10 by 9 72 10 by 9 11 by 9} Small Rafters. Length Scantling. fleet inches by inches. 8 4% by 3 10 5 by 3 12 6 by 3 Besides the formation of the end of a purlin, attempted by Price, Langley also notices the bevels of the jack-rafters. We now come to the description of his diagrams. “ The Figures 1 and 2, Plate 9, are examples of floors made of short lengths, which I have given for the diversion of the curious.” These floors are of a similar construction with those shown in the works of Dr. “rallis. Godfrey Richards, our first author, has also inserted two kinds of floors of this nature, one constructed of hexagons and triangles, the other consist- ing of squares laid diagonally in respect of the plan, with a. hexagon in the middle. These examples were executed at the old Somerset House, and were at that time a novelty in England. This species of naked-flooring may be seen in the works of Serlio. It had its origin in Italy, and was thence transported to this country. Though from the principles of construction, the timbers mutually support each other, this species of joisting has not been found advantageous, either in saving of expense, or with reSpect to strength, but the contrary ; it has therefore in modern works been dis» continued. “x " C AB PENTRY. , PM”; my. .9. $3! Jj 1:22;. 3. 7//// 77 , / /7 f/ / / 7 7/ ’/”" 2” / . I I \\ . n ‘ ~\ ‘ ' / \ X 3 \\ . . IV ‘ ‘ \ \ L» \ \\_ x \_ \, \ \ \\ 5 \V' \ \, LN" GAR _ 99 CAR Figure 3. “represents the section of a girder; b 6, 8m, parts of two binding—joists, tenoned into the girder; a a, &c., the ends of bridging-joists; e e, boarding on the bridgings; d d, &c., mortises in the binding-joists to receive the teno'ns of the ceiling-joists; as also the mortises b c, b c, &c., but these last are those which are called pulley—mortises, into which the ceiling-joists are slid. To understand this more plainly, (see Figure 4) the figures f f f f are added, which represent the sections of so many binding-joists; gg, &c., the sections of small joists between them; am: a side-view of a bridging- joist; filth, ceiling-joists tenoned into the, binding-joists, flush with their bottoms, as aforesaid, to receive the lath and plaster.” Figures 5 and 6 are parts of Figures 3 and 4, enlarged. The joists g g, in Figure 4, add considerable expense, with- out being of adequate service. '- Figures 7, 8, 9, 10, are scarfings shown in plate 50, of his work; but he takes no notice of them in the text, and indeed they are not deserving of it; we have already noticed those in Smith's work, to which these of Langley’s have a near affinity. Figure 11, represented in plate 53 of his work, is not noticed in the text, but the following words are written over the top of the figure: “A new method for trussing-beams, girders, &c., by Batty Langley.” The showing of such ridiculous constructions in carpentry, has certainly lessened the credit of this author, as permitting fancy to take the place of judgment, in cases where strength alone was the object. Figure 12 is his method of laying roofs in ledgement; he only differs from Price in this particular, that he lays all the rafter feet next to the wall-plates, whereas Price lays them the contrary way. Price’s disposition is more convenient in practice, but Langley’s more natural for building up. Figures 13 and 14 are his methods of tracing angle- brackets, and are the same in principle as that shown by Halfpenny, which was an example for a right angle. But Langley, always profuse in his figures, and pompous in his text, has not only shown the description of angle—brackets for right angles, but also for obtuse and acute angles, likewise for ovolos, cavettos, cimarectas, and cima-reversas, as if the same principle did not apply to all forms alike. In Figure 15, his description is as follows: “ The curva- tures of hip-rafters to polygonal roofs, that is, those whose plans are polygons, are also found by transposing the ordi- nates of a principal rafter (which must be given) upon the base of a hip-rafter. “ Suppose in” (Figure 15) ,“ a d to be the base, over which the cavetto principal rafter cd, is to stand: and let a e be the base of a hip-rafter: divide a d into equal parts, and draw the ordinates 2, 1; 4, 3, &c., on the line a d,- divide a e in the same manner as a d, and on the line ae draw the ordi- nates 1, 2; 3, 4; 5, 6, &c., and from the point I), through the points 2, 4, 6, 8, &c., trace the curve of the hip-rafter, as required.” ‘ This disposition of confining the parts into one connected diagram is more obvious to learners than Mr. Price’s, but even this of Langley's is not shown to the utmost advantage; for why divide the bases into equal parts, as this equality causes the curvature of the ribs and the curving sides of the covering to be divided unequally? Though the covering is shown in the figure, he has given no description of it in the text. Figure 16, shows his method of covering niches or domes, explained as follOws : “ Let afc be the plan of the head of a semi-circi lar niche, and complete the circle a f c d. Draw the diamete s a b c and dbf continued out towards e at plea- sure. Makefr andfs each equal to one-fourth of af; then r s will be equal to half a]; and draw the lines r b and s b, divide b (1 into any number of equal parts, and draw the ordi- nates l, 8 ; 2, 9 ;‘ 3, 10, &c., and on the points where those ordinates cut the semi-diameter b d, with the radius of each semi-ordinate, describe semi-circles, as the dotted semi-circles in. the figure. Make ef equal to the curve af; makefp equal toa 1 ;f0 equal to a2;fn equal to (13 ;fm equal toa4;flequal toa5;fk equal toa6; andfgequal to a 7. On the point e describe the arches 13, 14; 11, 12; 9, 10; &c. Bisect the half part of each of the dotted semi-circles, asfc in one; 1, 8, in two; 3, 9, in four; 5,10, in six; 7,11, in eight; 9, 12, in ten; 11, 13, in twelve; and 13, 14, in fourteen {makefh andfg each equal to half the archfi; p 1 andp 2 each equal to half the arch 1, 2 ; o 3, 0 4, each equal to half the arch 3, 4; and so, in like manner, 72 5 and n 6, to the half arch 5, 6, &c. From the point e, through the points 12, 11, 9, 7, &c., and 14, 12, 10, 850., trace the curves e It and eg; then four such pieces as eg Ii will cover the head of the niche, as required.” This is certainly a very tiresome method, as each of the semi-circles must be divided into equal parts; but why divide each quadrant into two, which he has directed ? as the more the parts, the truer the covering will be. If the arches a d and c d had been divided into equal parts, the covering could have been traced with more exactness, as there is a very long space beginning with the point e, without any guide, and is as much as the three lower spaces taken together: an equality of the parts in a d and c d would have been produc- tive of the parts eg, g It, kl, &c. also equal to each other, and consequently the distances of the points in the curves e h and e g, though not exactly equal, would have been nearly so. The description given by Mr. Price for the covering of domes, is defective ; but his aim was at a much more con- venient method than this of Langley’s, which requires ample space, and is very troublesome and tedious in practice, with- out obtaining any greater accuracy. The reader must observe; that in strictness of principle, no flat surface, however thin, can be made to comply with a spheric surface ; yet if com- paratively a very small portion of the flat surface be taken, it may be made so nearly to coincide with the spheric, as not to be detected by the eye, which is as near aswe ever need in practice ; and thus the narrower the board, the’ more nearly will its surface comply with the spheric surface; but as we shall have occasion to speak of this in another place, we shall leave it for the present, and proceed to show his methods of finding the coverings of solids. Figure 17, “ represents the manner of covering the outside of a cone ; the arch e a being made equal to the circumfer- ence e, which is equal to the base of the cone : this figure is exhibited here to show, that the sotfits of a semi-circular headed window, whose splay is continued all round, is no more than the lower superficies of a semi-cone; for if the splay were continued, it would meet in a point.” In this respect he is right; but no covering can be more easy to conceive, except that of a right cylinder. The method of covering an oblique cylinder he never could obtain, as the edges which should coincide with the elliptic sections are all exhibited in straight lines. See Plate 74, at the end of his Builder’s Complete Assistant; neither has he ever been able to obtain the covering of the ungula of a right cone, or of its complement when out to produce an elliptic sec- tion, so that the edge of his covering may coincide with the said elliptic section, and its surface with the curved surface of the cone. Figure 18. “ The superficies of these frustums are laid out CAR 100 CAR as follows.” “ On (1 describe the arch cml, &c. e equal to the circumference of the base of the cone, which divide into eight equal parts, at the points m, l, h, i, &c. and draw the lines am, a l, a h, &c. Draw 6 1, parallel to d c, and divide ic into four equal parts. Make a 5, a 11, each equal to a 4; make a 6, a 10, each equal to a 3; make a 7, a 9, each equal to a 2; make a 8 equal to a 1. Through the points 11, 10, 9, 8, and 7, 6, 5, trace the curves e 8 and 8 c,- then the figure 0 8 e i c is the superficies of the side.” What has the division of the line i c to do with the prin- ciple? This equality is not founded upon any part of the construction of the solid, and consequently the method can never obtain a true cover or envelope; indeed, it is so void of science as not to deserve any farther notice. In the next place, he attempts to find the envelope of a part of a semi- cuneoid, contained between two concentric cylindric surfaces, or of the covering or lining of the sofiit of a window turned upon a centre, which has either an elliptic or circular section, everywhere parallel to its end, and to coincide with the superficies of a circular wall, or the head of an aperture splaying on the sides, and level at the crown. But are we now to expect that this will be accomplished, unless by acci- dent, when he has already failed in obtaining methods for the description of much more simple envelopes, viz. for cylin- ders and cones cut obliquely? The reader will, however, attend to his description, which is as follows, and then judge for himself. The descriptions of the following diagrams are equally deficient in method, and void of principle: his diagrams, also, are full of redundant lines. He begins the text without announcing the purpose of the operation, so that the reader must be kept in the dark till the conclusion. Plate X. Figure l. “ 0f straight, circular, and elliptical arches in circular walls—The first work to be done, is the making of the centres, to turn these kinds of arches upon, which may be thus performed: Let GHIK be the plan of a circular building, and at Figure 6, it is required to make a centre for a semi-circular arch to the window, whose diameter without is ad, and within 72 m. Bisect a d inf; and describe the semi-circle ap (1. Divide a d into any number of equal parts at the points 6, 4, 2, &c. and draw the ordinates 6, 6 ; 4, 4; 2, 2, 8m. Divide n m into the same number of equal parts, and make the ordinates 6, 5; 4, 3; 2, 1, 8:0. equal to the ordinates 6, 6; 4, 4; 2, 2, 8:0. and through the points 5, 3, l, h, 8w. trace the curve 72 h m, then ap d and n h m will be the two ribs for the centre: this being done, place the ribs perpendicular over the lines a d and n m, and cover them, as centres usually are, and then, applying the edge of a plumb-rule to the divers parts of the inside and outside of the window’s bottom, the top of the rule will give the several points at which the inside and outside of the covering is to be cut off, so as to stand exactly over the inside and outside of the building, and then the centre will be completed as required.” It is hardly possible to conceive anything so unscientific as this description. In describing and forming the centre for the head of the required aperture, he is accurate 3' but when we are told to apply “ the edge of a plumb-rule to the divers parts of the inside and outside of the window’s bottom,” and that “ the top of the rule will give the several points at which the inside and outside of the covering are to be cut off, so as to stand exactly over the inside and outside of the building; and” that “ the centre will be completed as required,” he is altogether intolerable; for besides being tedious to an extreme, it is no more than every mechanic could have easily conceived. In forming the centre, it would be better to form the inside curve with a trammel, which would obviate the tedious work of dividing the base of each curve into equal parts, as well as the transferring of the ordinates of the semi- circle to those of the ellipses, and then, at last, either tracing the elliptic curve by hand, or bending a thin slip of wood round pins or nails stuck in the points. At all events, even in the operation of tracing, the dividing of the bases into equal parts is a very bad practice, as it alWays leaves so large and so quick a portion of the curve at each extremity to be guessed at ; but here it is admissible, on account of the fol- lowing diagrams connected therewith. - “ To divide the courses in the arch of this window—On a flat panel, &c. draw a line, as be, in Figure 7, make afo equal to the curve a c d, also make a b and 0 e each equal to the intended height of the brick arch. Make f p, in Figure 7, equal tofp, in Figure 6; also make a l) and o e, in Figure 7, each equal to b a, in Figure 6; then the points I) and e will be the extremes of the arch. Make p r, in Figure 7, equal to b a, the given height of the arch, and through the points I) r e and a p 0 describe two semi-ellipses, which divide into courses as before taught, and which will be the face of the arch required." This operation produces nothing, as he does not show its application to practice, in the formation of the stones or bricks to their proper shapes. “ Tofind the angles or bevels of the under part of each c0urse.——-Continue the splay backs of the window m dand n a until they meet in F. On F, with the radius F n and F a, describe the arches n g 1) and afs, making 72 g 1; equal to the girt of the arch n h m. Make n 6, n 4, rt 2, n 3/, 8:0. on the arch n 3/ v, equal to n 6, n 4, n 2, n g, &c. on the curve n h m, and draw the lines 6 F, 4 F, 2 F, g F, &c. Make the ordinates 6, 5 ; 4, 3; 2, 1 ; g 1', 8w. on the lines 6 F, 4 F, &c. equal to the ordinates 5, 6; 3, 4; l, 2; h i, 8w. on the line 72 m and through the points 5, 3, 1, x, &c. trace the curve 22 :r n. In the same manner transfer the ordinates 5,6; 3,4; 1,2; of} &c.on the lineadtothearchsfa, as from 5 to 6, from 4 to 3, &c. and trace the curve s c a; and then will the figure n xv so a be the sotfito of the window laid out, and which being divided into the same number of equal parts,-as the under part of the arch ap 0, Figure 7, and lines drawn to the centre F, as is done in Figure 2, to the centre A, by the lines 2, 2, 2, &c. those lines will give the bevel of every course in sotlito, as required.” Here is an attempt to find the lining or envelope of a cuneoid or cono-cuneus, in a circular wall, for the sotlits of 1 the stones or bricks; and had he succeeded, his endeavours would have been so far right: but the method which he J follows has no relation to the construction of the centre itself, and is therefore extremely erroneous. Nor can the same method be applied to the covering of a cone, though the affinity or relation is much nearer in the latter solid than in the former, and, consequently, the envelope here found j would cover a cone more nearly than the surface of a cuneoid. But, indeed, though very near approaches have been made ‘ to the cuneoidal surface, its determinate figure has never been exactly shown on a plane: however, the geometrical construction may be laid out on the surface of the solid itSelf, and all curves, corresponding to given ones on the plan, found with the utmost accuracy. The other parts of Figure 7, are not described in the text, but seem to contain lines with- out meaning. The following is all that is said of Figure: l, 2, 4, and 5: Figure 5 “is another example of a semi-elliptical arch, whose front is Figure 2. Also Figure 4, is a third example of a scheme arch, whose front is Figure 8. And Figure l. is a fourth example of a straight arch, which, in general. are performed by the aforesaid rule.” PLATE 4X" . QARPENTRY. .............. wx fi_._.‘_ CAR 101 GAR " Here the text is unintelligible, and the discovery of the principles, by inspection, still more so. . "Passing from the The Builder‘s Complete Asszstant, we come next to The Builder’s and Workman’s Treasury of Designs, by the same Author. The portion of this work which treats of carpentry, is contained in an appendix at the end, consisting of fourteen plates. In Plate XI. Figures 1 and 2, Nos. 1, 2, 3, of each Figure, are shown two methods of lengthening beams: but there is no other description than what is exhibited at the top of the plate, viz., “ The splicing or lengthening of beams explained.” The two pieces are tabled together, by a very different method to what any former author has exhibited. The tables are concealed, showing on the outside, when bolted together, as in No. 3 of each Figure, an oblique continued joint. The construction is ingenious, as it prevents their separation with- out breaking the tables by a longitudinal strain; but the diffi- culty of fitting them together with accuracy, and the tedious process, renders them unfit for practice. Langley’s Geometrical Principles of Roofing are similar to those of the preceding author; but for the sake of show- ing the terms applicable to different purposes, and his method of treating the subject, we shall extract a few of his descrip- tions : “ a be d (Figure 3) plan of the raising; ef the cen- tral line; im, lo, base lines of the outward principals; ag, g c, b h, h d, base lines of the hips; g h base of the ridge; h n base line of the middle pair of principals; eg, hf; base lines of the single principals, which meet the hips in the points gh; ih l, m n0, dovetail mortises in the raising, to receive the dovetails or cauhs 1, 2, 3, of the beams A B C ; (Figure 10) pp, dovetail mortises to receive the angle-braces, as p, p. Figure 4. D, a cauk or dovetail at large; E, the dovetail-mortises in the raising, to receive the dovetail or cank 1).” Figure 4. “ a b c d, plan of the raising;fg,fg,fg, beams cauked down on the raising; pp, pp, &c., angle-braces cauhed down in like manner; a e, b e, c e, d e, dragon-pieces to receive the feet of the hip-rafters ; a h, b h, c h, d h, hip- rafters ; a h h, the angle at the top ; and h a h the angle of the foot of the hip ah.” Figure 5. “ To find the angle of a hip in any regular . or irregular building—RULE. On any part of its base line, as c, draw a right line at right angles, asfg; set up the hip, f as hb, and from c draw cd perpendicular to the hip h b; . make ce equal to cd, and draw the linesfe, e g; then the anglefeg is the angle of the back required.” These descriptions are tolerably clear ; the technical terms used by him, are raising, base-line, hips, back of the hip, principals, dovetail-mortises, cauhs, angle-braces, and dragon- pieces. Raising is used by Moxon, in his [Mechanical Exer- cises, but is vaguely defined by that author ; base-lines, hips, back of the hip, and principal rafters, are used by Godfrey Richards, in his Constructions quoqfs, in finding the lengths and backings of hip-rafters. This last-mentioned author names the diagonal beams under the hips, dragon-beams,- Langley calls them dragon-pieces. What Langley spells cauhs, Price spells cocks. Angle-braces are not, that we have observed, named by any author before Langley, who also names jack-rafters, in Plate 5, of his Builder’s and PVorh- man’s ’l'reasurg. There is a work, not mentioned in the list of authors, by Edward Oakley, Architect, which, in point of priority, ought to have stood evenbefore Smith‘s Carpenter’s Companion, it being dated in the title-page 1730: another work was like- wise published by Edward Hoppus, Surveyor, the second L edition of which, as appears fgom the title-page. was published D in 1738; when the first edition was published we do not know, but probably about the same time as Oakley’s, or before. With respect to carpentry, these two works are nearly alike, as to the number of the problems, their order, the method of treating them, and the end intended; one seems to have been copied from the other, and the first of the two to have been taken from Halfpenny’s Artof Sound Building, with the exception of a problem, which is exhibited in a plate, and explained in each of these authors, for covering of the head of a niche or dome, with boards, to bend with their joints in vertical planes, passing through its axis. This pro- blem is thus explained by Oakley: Figure 6. “ To make a niche or globe, with thin boards or to cover them with paper or pasteboard.——Admit af (No. l) to be the plan of a semi-circular niche; c efd (No. 2) to be the board, paper, or pasteboard, of a given width, 0 d or ef Divide the semi-circle af 1 into equal divisions, accord- ing to the breadth of (No. 2) as a b, b c, c at, de, eg, gh, h i, ih, and h l; draw the lines, b u, c u, du, e u, g u, h u, iu, h u, and let. fall perpendiculars on the line a l, from the points b, c, d, e, g, h, i, h. Upon the centre u, with the intervals, m, 0, r, and t, describe semi-circles; set the girt of the arch af or fl, on the board, g c, (No. 2) as c a and db, which divide into so many equal parts as there are semi-circles, as in (No. 2.) Divide (No.2) in the midst, as by the line uw; take the arch a b, and set it equally on each side of the line u w, as at a b; set the arch m n, in like manner, on u w, as at m n, and so on to ts,- then by sticking in small tacks at the points a, m, o, r, t, and u, on the one side of uw, and at the points b, n, p, q, and s, on the other side of u w, by applying a thin ruler from a to u, and b to u, the curve lines on each side will be given, which may be described by a pen- cil, &c., which is the true mould for every piece in a globe or niche, which was required.” Here it must be observed, that the division of the semi- circle (No. 1) is erroneous; for if the quadrant aforfl be considered as a vertical section of the dome, it is evident it should have been divided into the same number of parts as the length of the board (No. 2;) and the several lengths of the one equal to those of the other; but af or fl is only divided into 4% equal parts, while the board is divided into 5; which inequality causes the board to be too narrow towards the top, and to swell out too much at the bottom, as shown in the following figure. In The London Art quuilding, written by Salmon, there is nothing new in construction. His geometrical principles of rooting are like those by Godfrey Richards; besides which, he treats of no other subject, except a few designs of roofs. The British Architect, the production of Mr. Abraham Swan, is not- very abundant in curious constructions of car- pentry, yet there are some ideas worthy of notice. Figure 7, No. 1, “ Shows the backing of the hip.” “ Divide the thickness of the hip into two equal parts; then having found the pitch of your hip, as is shown in (No. 2) set one of these parts upon the base line, from b to a, and it shows what wood is to be taken ofl‘. “ If the side of the building comes in with a bevel, as the dotted line h, in (No. 1) then transfer half the thickness of the hip, from d to c, in (No. 3) and take the distancefe, in (No. 1) and set it from c to g, in (No. 3.) This will show how much is to be taken off the hip, when the building bevels.” It is strange that this author should have departed so far from Pope’s scientific method, as first shown by Godfrey Richards, in order to adopt one so mechanical, more liable to inaccuracy, and less expeditious. With respect to groins, all that Swan has said on this sub- ject, is contained in the following words: CAR .1 02 CAR Figure 8, “exhibits an arch boarded over, wherein the several figures 1, 2, 3, 860., represent so many ribs, or jack- rafters, set upon the circular body of the arch, in order for another arch to intersect it, where those boarded over the groins are formed.” We learn nothing from this, but the man- ner of placing the jack-ribs on the body of the arch. Price describes the method of placing these low ribs upon the boarding, and calls them small centres; but his diagram is different, and not near so clear. In the boarding of domes with the joints in horizontal planes, Swan has shown the first. ideas of the subject : Figure 9, “ represents a circular body. To find the curve of any lath or margin to be bent round this body, parallel to its base. “ Let the points b and c represent the margin which you intend to bend round; then draw a right line through these points, to meet the perpendicular or diameter produced, as in a, and it gives the length a b the shorter, and a c the longer radius for striking the curve required.” This author has nothing more of novelty in the art of carpentry. Our next author is Mr. William Pain. In his British Palladio, he shows the methods of hip-bracketing for coves, and plaster cornices, as follows: Plate XII. Figure I,"D is an angle-bracket for an internal angle, which are (is) traced by ordinates.” Figure 2, “ E is an angle-bracket for a plaster cornice, at an internal angle ; F, an external angle, allowing one inch for lath and plaster.” The formation of angle—brackets is so easy, that a very little reflection, on inspecting the figure, will show the method adopted, without description : but still something more might have been said on the practical part. From The Builder's Golden Rule, the following diagrams, with their descriptions, are taken. “ The backing of curve- line hips, and tracing them—Figure 3, (No. l) is the rib of a dome, and (No. 2) is the hip traced from it. Divide the given rib (No. 1) into five parts, on the base line, and draw the ordinates 1, 1, 2, 2, 3, 3, 4, 4, 5, 5 ; then divide the base line of the hip into the same number of parts; take them from (No. 1) and set them on (No. 2); then tack in nails at the points 1, 2, 3, 4, 5 ; bend a thin slip round, and mark as that curve directs, which gives the hip-mould. To back the hip, take from (No. 3) the plan of the hip, 1, 2, and set it on the hip at the bottom 1, 2; then shift the hip-mould to 2, and out to the top: mark it by, and that will be the wood to come ofi‘ for the backing of the hip.” The practice of dividing the base of the given rib, and the base of the required rib into equal parts, was first shown by Halfpenny, and now by our present author, Pain; and though the prin- ciple is true, the practice is bad, as it leaves so great a por- tion of the curve to be traced by the eye, where it rises from the base; and though it is not necessary that each base should be divided into equal parts, or into any series of parts which shall have a given proportion to each other, yet it would be . ‘better to divide the curve of the given rib into equal parts, then divide the base of the required rib in the same propor- tion; and the arcs of‘ the required rib terminated by the upper extremities of each two ordinates, will be very nearly, if not quite, proportional; that is, the distance between the tracing points will be nearer where the curve is quickest, and where the greater number of points are most required. Figure 4, shows “the backing for a straight hip. You are to observe that the piece of wood be of the same thick- ness as the hips, and form of the curve, for the little part you want; then cut it to the pitch of the hip at foot, set it on the plan, and mark it by that, which will give the backing exactly ; and so for any other. Or, if you draw a line parallel with the base line, and take off 1-, 2, on the plan (No. 2) and set it on the said lines 1, 2, all the way up, and mark by the mould, it will give the backing in any case required, straight or curved.” This general and correct principle was first noticed by Price. Figure 5. “ The method of caving the angles, when there is a circle or oval in the centre of the ceiling—Draw the centre part, touching the sides and ends ; then draw another to the extreme of the angles, parallel with the centre; then draw the semicircular arch A, and from that trace the side arches B, n, and the rib C, C, C, C, which is a mould to cut all the brackets for the angles ; as is plain to inspection by the lines on the plan.” This principle is erroneous, and the description deficient. There is no respect paid to the elliptic base; but the brackets are traced upon the principle of angle-brackets. The sections of any body must depend upon the construction of that body, or upon its properties», thus, if a body is intended to have this property, that all parallel sections are to be similar figures, and if the method of forming it is not founded upon this principle, the body is not what it was intended to be, but something else ; the construction will therefore be erro- neous. All sections of a body must be found by describing the seats of the curves of as many parallel sections as may be thought sufficient, on one of the largest of them; then having a given or transverse section, that will cut all the parallel sections of the body, all other sections whatever may be found : but our author, Mr. Pain, forms the section of all bodies like those of prisms, without attending to the pro- perties of the body required, as is the case in the example before us. _ __ In the first edition of his Practical IIouse Carpenter, he has presented the diagram ofan interior circular dome, formed into pendentives by bracketing the spandrels above, and traced according to the same erroneous principle : but after the publication of the Carpenter’s A7910 Guide, by the author of this Work, the error was corrected, in the second edition of the said Practical IIouse Carpenter, so as to correspond with the legitimate principle, first published in the Carpenter’s .New Guide: his description, which is very short, is partly contained in the text, and partly on the plate : in the text, he says, Figure 6, “is a conical skylight, showing how to bracket the angles of the ceiling under the kirb, the hip-mould g at the angle is traced from the rib b, and that mould would do to cut all the ribs at the angles, as shown at the angle a.” \Vliat is here said, refers to the diagrams in the first edition; but the text stands in the sixth edition, as in the first, though the diagram is altered in the second and succeeding editions. There is no rib b, nor angle (1, shown on the improved diagram. On the plate he writes thus: “F dome with a skylight on the top. g, g, moulds for the ribs of the dome ; a, a, the kirb of the light.” This latter description refers to the diagram as it now stands. The skylight on the top is exhibited in a very erroneous manner, being inconsistent with the principles of any kind of projection that we are acquainted with. The plan of the bracketing, and the ribs of the domical part, are shown by a common ichnographical projection, while the skylight is exhibited in a kind of false perspective, and being without any connection with the kirb on which it is placed, it has the appearance of being raised upon its edge, resting upon two points in the kirb. Figure 7, “is an ogce roof, whose plan is a pentagon, and shows the method of drawing the polygon figure to any given side ; make a radius of that side, and draw the arches 2, 6; divide one of these arches into six parts, and turn them to the centre line, as shown by the letters and figures 5 d, 4 e, &c.; the centre 6 will draw a circle to receive the side 5 times, 115. ‘ a . CARPENTRY. me Fig, 1. ' Fly, 2. Whyfz'fz'u/aabmp Viviana/r17 6.1/IY/Z0fflt. 1 TE LOFDON’ PPMIING AND PUBLISer L‘OIM'PANW’. LmLTED 4 CAR 103 GAR 6 is the centre to receive the side 6 times, d seven times, and so on to i, which is the centre to draw the circle to receive the side twelve times.” This problem should have been classed in practical geometry, as it has no reference whatever to carpentry. It is only true in the hexagon and dodecagon, and is very incorrect for the description of polygons upon a given straight line, which have fewer sides than six. In his diagram, he shows the method of describing the hip from the common rib being given ; but the text contains no description of it. Figure 8, “is a dome, whose plan is a hexagon, and shows how to divide a circle into any number of parts: divide one- fourth of the circle into the number of parts you would have the circle, as, l, 2, 3, 4, 5, 6, and always take four of them. To find the backing of the curve-line hips, lay down the plan of the hip at.the angle, as a; then take the distance 1, 2, at bottom, tack in a nail, then shift the hip-mould, and marking by it, as 12, 34, 56, 78, 9, 10, will show the wood to come off.” In this description, Mr. Pain proposes to find the division of a circle into any number of parts ; but as he does not mention any fixed ratio of these parts, they may be taken at pleasure, without rule; but allowing that he had neglected to name this condition, under which the circle was to be divided, and suppose that he meant the parts to be equal, and to be found by a general method ; there is no regular rule of performing this problem but by an approximation. If we allow that the quadrant can be divided into equal parts, we must also allow that the whole circle will contain four times that number of parts ; but the division of the quadrant into equal parts is equally impossible with that of the whole circle; the rule is therefore absurd, and consequently it is only accomplishing one absurdity by another, and wasting the reader’s time to no purpose. In this problem, as in the last, he has also neglected to inform his reader how the hip is found, though it is sufficiently clear on the plate to present the idea of forming it to any intelligent person. Figure 9, “is a dome on a circular plan ; a and b show the section of the horizontal rib.” ‘ Figure 10, “is a dome on an elliptic plan ; the centres for the mould of the horizontal ribs d d, are a a, b b, c c, d d; _ the place of that rib on the plan is found by dropping dot lines from the sections dd: 0 c on the top, is designed for a skylight.” These descriptions are unintelligible. Plate XIII. Figure l, “ shows the method for cutting the boards to cover the dome; divide the dome into as many parts as you think it will take boards, and draw lines to cut the edges of each board, and where they meet the centre line, that is the centre for the edge of each board. This is drawn one inch to a foot.” This has already been shown and described by Swan, but he is deficient in not representing the boards as Pain has done; the description of the'former, how- ever, though short, is much clearer than that of the latter. Figure 2, is taken from the Practical IIouse Carpenter, but the description is to be found neither in the text nor on the plate. It must therefore be left to the sagacity of the reader to find it out. \Ve suppose the diagram to represent the method of covering a dome by bending the boards with the joints on vertical planes passing through the axis. This method has already been shown by several of the preceding authors, of whom Price and Langley are the most accurate, and differ most as to the mode of ascertaining the form of the board, but come to the same result at last. Oakley, Hoppus, and Price, perform the operation by straight ordinates, whereas Langley and Pain do it by curved ordinates: one method ascertains the form with as much accu- racy as the other, but the operation with straight ordinates requires much less trouble than the other. Pain e-ven shows many more lines than are sufficient, which snperabundance makes his diagram much less intelligible to the understanding of his reader. The concentric arcs, which he has used as ordinates, are erroneous in principle, though the use of them does not affect the practice, as we shall here show. Figure 3. “Let A B C be half the section of a dome passing through its vertical axis; divide the curve A B into as many equal parts as the number of boards of which the covering is to consist; through each point in the circumference draw a line to the centre C; and through each of the same points draw another line at right angles to the respective radii, and produce them upwards, as also the axis C B, so as to cut each of the tangents from the several points in the curve; then each of these tangents, so limited, are the radii of the suc- cessive ordinates; the tangent at the bottom is of infinite length, the next is limited, and the succeeding‘ones become gradually shorter.and shorter, till the tangent and the arc become nearly of one length. So that the ordinates of the board, exhibited in Figure 4, are arcs of radii, respectively equal to the tangents; consequently, the bottom ordinate of the board is a straight line, the next is the arc of a circle of a very flat curvature, the next is an arc of greater curva- ture, and so each are becoming quicker and quicker in its curvature, till they reach the summit of the board, which is the last centre.” The most eligible method in practice, founded upon evi- dent principles, is to suppose the dome to become an equi- lateral and equiangular polygon, and suppose the axal section A B C, Figure 5, perpendicular to one of the sides of the dome to be given, and the curve A B to be divided into equal parts, and suppose the parts to be extended upon BC produced; then, if lines be drawn through the divisions of the curve, and through the points of division in C B, produced perpen- dicular to the said BC; and if BD be drawn perpendicular to BC, equal to half the width of a board, and D Cjoined, and the ordinates produced so as to meet D C; then, if the lines parallel to B D, contained within the triangle B D C be successively taken towards C, and applied on the perpen- diculars from and on each side of C D produced; then if curves be drawn through the points at the extremities, they will ter- minate the edges of a board, which will accurately cover a side of the polygonal dome. Let us now suppose the number of sides of this dome to be very great, then the sides will vary only in a very small' degree, either from the inscribing or circumscribing sphere, and this variation will decrease as the number of sides is increased, and the excess or defect would become insensible; and if we suppose the sides to be infinite, the board which covers the side of the polygonal dome will accurately cover the inscribing or circumscribing spherical dome. This latter method is founded upon principle, but that of forming the bottom ends of the boards into curves is totally destitute of it. Figure 6, from Pain’s Britt's/i Palladio, which he says “is a pentagon to be covered with a domical roof. To find the curve of the boarding, divide the girth or curve of the rib on the back into as many parts as you please, as here into four, and draw them to the base-line of the rib ea, as 7, 8, 9; stretch out ab, the middle of the side, and 99, 88, 77, parallel thereto; then take one of the divisions 0n the girth 'of the rib, and set off from e to 7, 8, 9, b, and where that cuts the lines 7 7, 8 8, 9 9, b, there tack in nails, and bend a thin slip to the nails, and mark from e to b, as that curve directs; this will be one edge of the covering: prick these marks on the other side of the line a b, and proceed as before; then will the covering or boarding be complete. The cover- ing or boarding of (Figure 7) is found in the same man- ner, which is very plain to inspection; the girth of” the CAR 101 GAR “rib being stretched out, and the parts set on as above directed.” When he says, “ stretch out a b, the middle of the side, and 9 9, 8 8, 7 7, parallel thereto,” he is not intelligible; however, if we understand that a b is drawn at right angles to the side 8 d of the polygon, and 9 9, 8 8, 7 7, drawn parallel thereto, the method which he uses will be found to be correct, and, we believe, original. Figure 8, “ shows the method for getting out the veneer, or cover for an elliptical dome or niche. Divide the circum- ference of one quarter of the plan into any number of parts, as here into 8, and draw them to the centre 4; let the first line from the transverse diameter be the edge of the veneer; the second line will be the middle of the next veneer; the third will be the other edge of it, and so on : continue this line out at pleasure: consider this line as a base, and draw thereon a section of the dome, as No. 1; then divide the cir— cumference into four parts, draw them to the base-line at right angles, and transfer those distances to the corresponding line on the plan ; then take the four parts on the girth, and run them on the line stretched out, 1, 2, 3, 4, this will be the length of the veneer; set the compasses on the plan, and strike a curve-line of this radius; then continue the middle line of the veneer, and where it intersects, that curve-line will be the point of veneer next the top of the dome; from this point set off the divisions l, 2, 3, on the circumference by curve-lines; then take the width of the divisions 1, 2, 3, from the middle line of the plan, and set them on the same line stretched out to cut them at their respective distances, the points of intersection will be the breadth of that side of the veneer; connect them by a curve-line from the plan to the point, and you have one edge complete. For the veneer on the transverse diameter, this edge will serve as a mould; or you may set the half of the veneer t0 the other side of the plan, and draw a chord-line from these points; set this otf that distance of the arch (the little curve) to be outside, and draw a line parallel to the chord—line, on which set off the breadth of the veneer on both sides, then with the whole length of the other veneer in the compasses, set one foot on that breadth, and strike a curve-line to cut the middle line on the transverse diameter; or repeat the curve from the other side, and where they cross will be the point of that veneer, from whence set off the divisions, and proceed as before. But as the radii of an oval are of different lengths, to get the other edge of the veneer, make a section as before, see No. 2, and set 01f, as before, the divisions on the base and plan, and strike the divisions 0n the girth, from the point of the veneer stretched out, intersect them from the plan, and those points connected will give the other side of that veneer, which will be a mould for the next adjoining; proceed again for every veneer by transferring that length from the plan, and the shortest length from the point; repeat the same operation for every veneer required. lVote. “ The conjugate and transverse diameters will have the two sides of the veneer equal. Observe, only four parts are used, to prevent confusion in the figure; but the greater number of parts, the truer the line. Again, if your boards will suit, divide the plan to their number, and proceed as before for every board respectively.” This method is so absurd in every particular, that the coverings obtained are erroneous in the greatest degree; indeed, it leaves no room for argument, and we shall only observe, that in the true form of the boards, between the extremities of the greater and less axis, in any one of the four quarters, one side of the board would be concave and the other convex, where the dome has a considerable differ- ence in its axis; and the greater this eccentricity or differ- ence, the greater will be the degree of curvature of the con- cavity and convexity of the sides of these boards. Figure 9. No. 1, shows groins and arches, of different descriptions, from the Practical House Carpenter. Pain divides this figure into several others, and distinguishes them by letters of the alphabet. He only gives the following description on the plate : “ K centering for groins. L is a half groin cutting under pitch, for a door or window. G a Welsh groin cutting under pitch. M is the method of tracing the ribs and hips for a groin ceiling.” Figure 9, No. 2, “N is a mould to bend over the body range; K, to get the lines to set the jack-ribs by.” The reader who has not already acquired a competent knowledge of geometrical lines, will profit but little from this description. The showing of the jack-ribs upon the diagram is an improvement. Swan has shown them perspectively, but the geometrical method of representing them is more serviceable to the workman, as it shows the lengths of the ribs distinctly. He observes that “ G is a Welsh groin cutting under pitch,” but he does not show how the crooked line, which he has exhibited, is obtained; and even if he had shown it, the method of constructing the rib would still have been wanting. In the mould N, for groin-centering, in order to find the place, or curve—lines, on the boarding, for fixing the jack-ribs, he has given no description, either in the text or on the plate, except that he writes, “the arch line a stretched out,” and “ half the base- line b,” upon the respective sides; and, consequently, we have no other instructions to inform us how the mould x is found, than by inspecting the figure itself, and tracing out the operation by the connection of the lines ; and even then we are left in the dark as to its application. The moulds for groin-centering upon this principle, were first shown by Price, as well for finding the angles of the jack-ribs, as the form of the boarding. Figure 10, from the Practical IIouse Carpenter, “is a bevel roof; the sides are parallel on one part of the plan, the other bevels. To frame this roof in ledgment, the principal rafters must be framed to a level base; that is, the ends of the beams all of one height from the face of the plate; when you come to lay them the other way, to frame in the purlins, there must be winding sticks held to the bases of the rafters, which winding sticks must be all out of winding; and as the width of the building diminishes, the backs of the rafters will lie in winding, as they will when in their places; and mind that they are backed according to the bevel of the plan. for turning them up to tumble in the purlins; by this method the business may be well completed.” Allowing that the heels of the rafters are cut to their proper bevels with the backs, the application of winding sticks to such short distances will never make the sides fall accurately into their proper winding. This is altogether a mechanical operation; but it would have been no difficult task to have shown an operation strictly geometrical. The foregoing remarks will be found to contain a fair and impartial statement ofthe geometrical improvements and errors of the several writers on Carpentry, at least as far as they have come to our knowledge : we shall now, in conclusion, draw a general result from the whole of their theories, and endeavour to trace the progress of the art towards its present state of comparative perfection. The method of bracketing hip-rafters, which is said to be the invention of a Mr. Pope, of London, was originally pre- sented to the public by Godfrey Richards, who also first represented roofs in ledgements, in order to ascertain the several lengths and angles which the rafters make with each other. The use of the trammel in common cases; the description fl . €AR1’ENTRY . 114m 2222. CAR. 105' GAR of a curve through points, by bending a lath, or slip of wood; cove-bracketing, and the construction of ribs in groined ceilings, disposed in vertical planes, were first shown by Halfpenny. In the latter, however, he divides the bases into equal parts, in order to place the ordinates, which is incon- venient ; for the equi-distance of the ordinates leaves a very large portion of the curves at each extremity, where they are quickest, to be traced only by the eye. This writer also first described the formation of spherical and spheroidal niches, upon semi-circular and Semi-elliptic plans, with semi-circular and semi-elliptic faces, under the names of semi-circular and elliptic niches. To Price we owe the mode of framing roofs in ledgement, with all the beams ‘and rafters laid out on a plane ; though it must be remembered that the general outline had been previously described by Godfrey Richards. The squaring of the purlin of a circular dome, and of a conic roof or sky- light; the backing of angle-brackets (and consequently of ribs in general) by shifting the mould of the rib; the ordi- nary construction of groin—centering, and moulds for drawing the diagonal lines at the feet of thejack-ribs; the covering of domes, by bending the boards from the base to the vertex; and the stretching out of the surfaces of coved ceilings, were also first described by this writer. , To the writings of Batty Langley we are indebted for the extension of the superficies of polygonal roofs with curvilinear rafters; and likewise the covering of the frustum of a semi- cone for a sofiit in a straight wall, with the axis of the cone at right angles to the plane of the wall. The principle of forming boards to cover a dome, with the joints running in horizontal planes, or on the surface of a eone with a vertical axis, was laid down by Swan. That of extending the superficies of a semi-cylinder on a plane, for the soffit of an aperture in a circular wall, with the axis of the cylinder at right angles to the surface of such wall, so as to cover the surface of the cylinder contained between the two walls and each spring of the aperture, was first exhibited by Pain; as was likewise the principle of squaring purlins for an elliptic dome, though very imperfectly. The sum total of the geometrical constructions by these writers, may be comprised as follows: the use of the trammel ; drawing curved lines through points; ascertaining the lengths of rafters, and the backing of hips for both straight and curvilinear rafters; framing of roofs in ledgement, whether rectangular or bevel on the plan ; squaring purlins for circular or elliptic domes and cones ; the construction of curvilinear ribs for angle-brackets, polygonal roofs, and plaster groins ; centerings of groins ; forming a conic soifit in a straight wall, with the axis of the cone at right angles to its surface; forming a cylindric soflit in a circular wall, with an horizontal aXis : and the covering of polygonal roofs or domes with boards, whose joints fall either in horizontal or vertical planes. . These inventions, however, are far from being laid down in the most happy manner. The text of these authors is frequently obscure, and their diagrams, which have little connection with it, are badly projected, and little calculated to inform : they have likewise so far neglected the requisite arrangement, that their subjects are thrown together in a pmnnscumis jumble, without either attention to the affinity 0f their principles, or their order of succession in practice. ()t the several works quoted, Price’s alone can justly claim the title of a treatise on carpentry. Langley is in general tolerably intelligent; he has treated on all that has been done by his predecessors, and has attempted many tlllngs of his own ; but his labours have not been suc- ‘ cesst’ul. In the diagrams of Pain, we find some useful practical 2 n hints ; but his errors are numerous, and his inventions few. His text, also, is more unintelligible than that of any writer who preceded him in this art. The inventions and discoveries of the writers quoted, may be reduced to the following: Sections of prisms at right angles to one side or plane of the prism ; coverings of prismatic and conic surfaces, in the most simple cases; and the method of ascertaining the lengths and backings of hips. To these principles, the Author of the ARCHITECTURAL DICTIONARY has added those of the intersection of one plane with another, the latter resting on three lines perpendicular to the former; the geometrical construction of all cases in spherical trigonometry, by solid angles; sections of a prism, cone, or cuneoid, through any three given points; the section of a prism making a given angle with a given parallelo- grammatic section of such prism, and passing through any given line 011 the said section ; the section of a cone passing through any line on a given axal or vertical section, and making a given angle with that section ; the section through any three given points on the surface of a body, of such property that all sections parallel to a certain plane will be similar figures, having the seats and heights of the points upon one of the similar planes, and another section of the body in a given position to that plan, cutting all the said similar sections ; the sections of various other bodies, whose properties are defined ; the formation of the edge of a thin pliable surface, which, when bent upon the surface of a prism, may coincide in its edge with a section passing through any three given points on the surface of the said prism; the formation of the edge of a surface, to fit a conic section, passing through any three given points on the surface of the cone, while such surface and that of the cone coincide ; the formation of the edge of a thin pliable surface to fit the sec- tion of a body cut by any prismatic surface, while the pliable surface coincides with that of the section made by the pris- matic surface; the properties of the body being such, that all sections parallel to a certain plane will be similar figures, given a section of the body parallel to one of these sections, and another cutting all the said similar sections in a given position, and the intersections of the given planes on each other. These subjects include the finding of the sections of cylin- ders and cones, spheres and spheroids, and the coverings of these bodies, under the circumstances already stated. To these, the author has added the following inventions or discoveries, viz., the method of extending the surface of a cylinder or _cy1indroid, being the centre of an arched aperture in an oblique wall, terminated by the faces of the said wall; and the covering of the surface of a part of a semi-cone, being the centre of an aperture, with its axis oblique to the surface of the wall which terminates such covering. In ascending groins, he has likewise shown the centering for brickwork, and ribbing for plastering; the construction of polygonal and annular groins, both level and ascending in a spiral, whether for centering or ribbing; cylindro-cylindric arches, or what are commonly, but improperly, denominated Welsh arches; spherical niches, both for straight and circular walls, under any circumstances: the true methods of constructing penden- tive or spandral ceilings, either spherical or spheroidal; the bevels of purlins in all positions to the common rafters; the formation of boards for covering spherical domes, without laying down either plan or section of the dome, entirely within the boards themselves; the forming of the lower boards, without centres, in the covering of a dome, with the joints in horizontal planes ; the formation of boards to cover a spheroidal dome, with the joints of the boards in vertical planes; the covering of an elliptic dome with one mould CAR ___ ,7.-. only; the covering of a spheroidal dome with boards having their. joints in parallel vertical planes; the construction of a dome with horizontal ribs, without taking the trouble to square them by horizontal and vertical faces; the method of cutting purlins and jack-rafters to fit the hips, without laying the roof in ledgment; principles for the equilibrium of poly- gonal roofs without ties, so that the rafters may obtain a given ratio among themselves, provided the abutments be sufficient; a principle for preventing rafters without intermediate ties, from having any lateral pressure ;——these two latter inven- tions have been several years before the public, in the archi- tectural plates of Rees’s Cyclopedia. To these might be added various other principles of less importance, which it is not necessary to recapitulate in this place. In most of the subjects above alluded to, he has given more than one method of operation, and in some instances he has multiplied his examples to five or six different modes of practice. One or two of the inventions in the foregoing list, he acknowledges, are only his own by their new application, the principles being known prior to his time; but he has adapted them to subjects to which they were never before applied; and he conceives that it requires at least as much ingenuity, and is frequently attended with more utility, to be able to apply an old or well-known principle to an useful object, as to discover a principle destitute of practical application: he has, therefore, not scrupled to include them in the list of his discoveries. Nor has he, while thus claiming credit for himself, denied it to others; as may be seen in his remarks on Pain’s lining of a cylindric sotiit in a circular wall, the principle of which was previously laid down by Price, in his centerings of groins. The inventions which the author has thus appropriated to himself, are the following: the application of the principle of covering the surface of the frustum of a cone to a spheroidal dome, with the joints in vertical planes ; the application of the principle of covering an oblong spheroidal dome by one mould only; and the application of the principle shown by Price, in his centering of groins, to a cylindric soflit for an aper- ture in a straight wall, with its axis oblique to the surface of such wall; which latter was likewise attempted by Pain, but without success. The author has not been able fully to satisfy himself as to the extension of the surface for the head of an aperture, splaying in the sides and level on the crown, so that the aper- ture shall form a semi-circle on one side of the wall, and a semi-ellipsis on the other; or a semi-ellipsis on each side, but of different horizontal dimensions, though of the same height. He is, however, convinced, that though the form be not geome- trically true, it is much more correct than anything attempted by Langley or Pain; and on it, he has accordingly founded the principle by which alone the nature of the Solid itself can be understood. And though unsuccessful in his attempts to extend the surface exactly, he has had the satisfaction of laying down such lines as will apply to the surface of the solid with far greater accuracy and dispatch, than could be obtained by the mechanical operation of plumbing the lines from the plan; by applying the distances on the plan upon their respective level lines on the surface of the solid, all drawn from one vertictl line resting on the point where the two sides of the splay come in contact. By this means the line of every wall may be found correctly on the surface, whether the wall be straight or curved, or whether the axis of the solid stand oblique or at right angles to its sur- face; which cannot be done by any other method hitherto attempted. In conclusion, it may be observed, that writers on carpen- try have frequently been unsuccessful, for want- of grounding their schemes upon the simple principles of the bodies they 106 CAR — l wished to construct; by losing sight of which, they have fallen into puerile operations, and drawn erroneous infer- ‘ ences. In the course of this work, we shall treat of the several branches of the building art, and each article of those branches, in a manner similar to this on Carpentry; and all inventions, as well useful as otherwise, with every unsuccess- , ful attempt at geometrical construction, will be noticed under 1 their respective heads. It is now only necessary to observe, briefly, that as the arrangement and classification of the subjects, as well as the mode of conceiving and presenting them in the diagrams, are altogether different from those adopted by the writers who have preceded us in this department, so it is believed, that this method will display the art of carpentry in a novel point of view, and reduce it to that pure scientific form it has never hitherto acquired. But notwithstanding all that has been done, and the great advances made in the art since the pub- lication of the various works we have been examining, it is evident that the subject is not exhausted,‘but is still suscep- tible of many improvements. Such improvements will doubtless be effected, in time, by the labours of abler men who will carry to perfection the science and prac- tice of an art so important and so interesting as that of Carpentry. CARPION, a Grecian architect, who wrote a treatise on the Temple of Minerva, in the citadel of Athens. CARRIAGE or A WOODEN STAIR, the frame of timber- work which supports the steps. The carriage of a flight of steps, supported on one side by p a wall, generally consists of two pieces of timber, inclined to the pitch of the stair. These pieces are called rough-strings, = or carnages. ‘ When a geometrical stair consists of two alternate flights, with a half pace between, the carriage of the half pace con~ sists of a beam parallel to the risers of the steps, and several joists framed into the beam, for the support of the boardina. The beam which sustains the joists, is called the apron-piece, 1 and that which sustains the rough strings at the upper end, ‘; is called a pitching-piece. The joists of the half pace are ; sometimes tenoned into the pitching-piece, and sometimes ‘ bridge over it; but the steps of both flights are supported by string-pieces, as before. The upper ends of the string-pieces at the landing, rest upon an horizontal piece of timber, deno- minated an apron-piece. i If the steps wind round a circular newel, the carriage of I the circular part consists of uprights and bearers, the latter ‘ of which are wedged into the wall ; though it will answer the purpose as well, to frame them into a string placed against the wall. The uprights and bearers are either framed with mortises and tenons, or are dovetailed together. \Vhen the staircase is of the dog-leg kind, with winders and a close newcl, the carriage is formed of bearers let into the wall, and fixed to the newel post. For more information, see S'i‘Atu-CAslNG and HAND-RAILING. CAR'l‘ELLI. See CARTOL‘CIIES. 1 CARTON, or CARTOON (a French term, signifying thick _ paper, or pastcboard ), in painting, a design on strong paper, to be afterwards chalked through, and transferred on a newly- ‘ plastered wall, which is to be painted in fresco. The word is also used for a coloured design, that is to be wrought into mosaic or tapestry. CAR'l‘OL‘CllES, or CARTOOZES (French, from the Italian | Cartoccz'o ), a kind of blocks or modillions, used in the cornices of waiuscoted apartments; diti'ering from modillions in being . confined to the interior, whereas modillions are applied both ; externally and internally. : T ml ..._.....¢— -.-~v t | l I UAR 107 GAR CARTOUCHES, are ornaments representing a scroll of paper, usually in the form of a tablet, with wavings, whereon is some inscription or device. They are sometimes drawn on paper, as in the titles of maps, &c., and are sometimes made of stone, brick, plaster, wood, &c., for buildings. Norden uses this term to signify the winged globe, usually placed over the middle aperture of Egyptian buildings. CARVED WORK, all those mouldings, planes, or other surfaces which are cut into ornaments, representing, in relief or in recession, foliages, animals, utensils, historical events, 8m. Mouldings are generally carved with leaves, honeysuckles, lions’ heads, beadsfegg and tongue, egg and dart, guilloches, reeds, flutes, 8w. Tori are carved with guilloches, reeds, and flutes. Astragals are carved with beads, of various forms, strung together. Ovolos, with egg and tongue, and at the corners with honey- sucklcs, as in Grecian architecture; or with egg and dart, and sometimes with leaves, as in Roman architecture. Sima-rectas, with honeysuckles, of various forms, con- nected with scrolls and lions’ heads at certain intervals, as in Grecian architecture; or with leaves of various kinds, as in Roman architecture. Sima-inversas, with leaves, stalks, &c., enclosed in borders. Facias and large surfaces, with foliage interwoven or wind- ing, or with historical subjects from the heathen mythology, and sometimes with flutes, fillets, 8:0. But of all carved work, none is so beautiful as that left us by the Gothic architects. Of the styles comprised, under this denomination, carving is one principal feature, and it is surprising to what perfection the art arrived; during this period of the dark ages, as they are called, it advanced gra- dually, and passed through many stages ere it arrived at its full maturity, from the simple and somewhat barbaric mould- ings of the Normans, to the luxuriant foliage of the Deco- rated, or the elaborate richness of the Florid styles; and yet even the carving of the earlier periods is by no means to be despised; the specimens belonging to the Early English style, although somewhat stiff and harsh, possessed a sim- plicity and chasteness which was never afterwards surpassed. The Decorated style lays claim to the highest rank in carved enrichment, it approaches nearest to nature; indeed, it is almost nature herself, only changed in substance; everything connected with this period is full of grace and elegance. In the next, or Perpendicular style, the flowing lines of the pre- ceding period were deserted for the straight; or if curved lines were introduced, they were of a character purely geometrical; the method adopted was rather artificial than natural, and we see but few examples of foliage, such as is found in the pre- vious styles; there was, however, an elaborateness and exuberance at this period never before attempted; in some instances, to such an extent was carved enrichment employed, that scarcely any portion of the plane surface was discernible. This is very conspicuous in the fan-work, as it is termed, which was introduced into the vaulted roofs; we would espe- cially cite, as an example, the roof of Henry the Seventh’s Chapel, Westminster, than which, we suppose, there exists not a more elaborate specimen of carving, at least in a work of each magnitude. The light and beautiful pendents of this chapel afford a magnificent specimen of the most enriched and delicate sculpture. Other examples of the same kind, are St. George’s Chapel, Windsor, and the Chapel of King's College, Cambridge. Equally beautiful specimens of carving, sometimes even of a more minute description, may be seen in works of a smaller kind, such as fonts, altar-screens, &c., more especially in the latter, in some of which the elabo- ’surface. ration is carried to so great an extent, that nothing less than a close and diligent inspection will suffice to unfold its beauties. CARVEL-BUILT, in ship-building, when the edges of the planks join each other, the vessel is said to be cared- built. This term is used in contradistinction to clinker-built, which is when the edges of the planks are lapped upon each other. CARVER, an artist employed in the carving of wood. CARVING, in general, is the art of cutting a body by recession, in order to form upon it various fanciful represen- tations, as foliages, flowers, fruit, animals, landscapes, or his- torical events, either in relief, or recessed within a general In this sense, carving comprehends both statuary and engraving, the latter either upon wood, stone, metal, or any other material. In a more particular sense, carving is the art of cutting wood, as in the above definition. See CARVED WORK. CARYATIC, whatever relates to the ancient country of the Carians. CARYATIC ORDER, an order of architecture, whose entabla- ture is supported by female figures instead of columns: the figures themselves are called Caryatidce, Caryates, or Cam'ans. The Caryatic order differs from the Persian in having the entablature supported by females, whereas in the latter it is supported by males. See PERSIAN ORDER. The history of these orders, as related by Vitruvius, is as follows: “ Caria, a city of Peloponnesus, having joined with the Persians against the Grecian states, and the Greeks having put an end to the war by a glorious victory, with one consent declared war against the Caryatides. They took the city, destroyed it, slew the men, and led the matrons into capti- vity, not permitting them to wear the habits and ornaments of their sex: they were not only led in triumph, but were loaded with scorn, and kept in continual servitude, thus suffer— ing for the crimes of their city. The architects, therefore, of those days, introduced their efligies sustaining weights, in the public buildings, that the remembrance of the crime of the Caryatides might be transmitted to posterity. The Lacedaemonians, likewise, under the command of Pausanias, the son of Cleombrotus, having, at the battle of Platea, with a small number, vanquished a numerous army of Persians, solemnized the triumph, by erecting, with the spoils and plunder, the Persian portico, as a trophy, by which to trans- mit to posterity the remembrance of the valour and honour of the citizens; introducing therein the statues of the cap- tives, adorned with habits in the barbarian manner, support- ing the roof.” Whether this account is correct, in any respect, seems doubtful; it is certainly incorrect as far as it relates to the origin of the order, but whether its distinguishing appellation is rightly attributed to the above circumstances, remains a matter for consideration; we think the evidence is decidedly against Vitruvius. In the.first place, be it remembered, there is no allusion made to such circumstances by the Greek his- torians; and in an inscription brought from Athens by Dr. Chandler, containing a description of the temple of Pandrosus, the figures are called Kopat, or damsels, and are thence natu- rally supposed to represent the maidens engaged in the celebration of the Panathenaic festival. Mr. Gwilt, who was the first to remark upon the incorrectness of the account of Vitruvius, is of opinion, that the figures were named after the goddess Diana, to whom the title Caryatis was given by the Lacedasmonians, from the circumstance of her having made known to them the story of Carya, daughter of Dion, king of Laconia, who was turned into a nut-tree by Bacchus. CAR 108 With respect to the epithet, Caryatis, we are inclined to think rather that the goddess obtained this surname from being worshipped especially at Carya, near Sparta, where she had a temple, and where also the Lacedaemonian virgins cele- brated an annual festival in honour of her; but as regards the main point in question, we think there can be little doubt but that, as is evidenced by an old commentator on Statius, the term Caryatides was applied to the virgins employed in the service of Diana, and that female figures were first employed in the architecture of the Greek temples as repre— sentations of the virgins engaged about the service of the deity to whom the temples were dedicated. That the figures of men and animals were used for the purpose of supports in the place of columns, long before they were so employed by the Greeks, is well known. That they were not uncommon in Egypt, we learn from Diodorus Siculus, who informs us, that the roof of the hall in the sepulchre of King Osymandyas, was supported by animals instead of pillars, each composed of a single stone, and twenty—four feet in height. Psammeticus also employed colossal statues twelve cubits in height in the propylaaum which he erected on the east side of the temple at Memphis. In Denon’s Travels in Egypt, we find, among other frag- ments, representations of five insulated pilasters or pillars, bearing an entablature; the fronts of which are decorated with priests or divinities. We find several instances of a similar application of men and animals, in one case of elephants, in the temples of India, as in the temple of Elephanta, that near Vellore, and several others. The molten sea, spoken of in Holy \Vrit, was supported by twelve bulls; and in the Odyssey of Homer, book vii. verse 118, we find the effigies of animals, both rational and irrational, employed as decorations. We do not learn, how- ever, that these latter representations were employed as columns to support an entablature; and there is reason to believe that they were nothing more than ornamental sculp- tures. In Stewart’s Antiquities of Athens, we find a most beautiful specimen of Caryatic figures supporting an entabla- ture, consisting of an architrave cornice of a very elegant profile. The examples to be found amongst the Greeks are those in the temple, of Pandrosus, and five specimens out of six previously existing, supporting an entablature adjacent to the temple of Erectheus. In this case there is no frieze, but the entablature is carried to an extraordinary height. Various fragments of male figures are also met with among the Roman antiquities, which, from their attitudes and orna- ments, appear to have supported the entablatures of buildings. Besides Caryatides and Persians, it is sometimes customary to support the entablatures with figures, of which the upper part represents the. head and breast of the human body, and the lower part an inverted frustum of a square pyramid, with the feet sometimes projecting out below, as if the body had been partly cased : figures of this form are called Termini; and had their origin in stones used by the. ancients for mark- ing out the limits of property belonging to individuals. Nutna l’onipilius, in order to render these boundaries sacred, con- verted the Terminus into a deity, and built a temple, dedicated to him. on the 'I‘arpeian Mount, wherein he was represented by a stone, which in the course of time was sculptured into the form of a human head and shoulders, with the lower parts as we have just described. On particular occasions, this idol was adorned with garlands. Persian figures are generally charged with a Doric enta- blature ; the Caryatides, with an Ionic or Corinthian archi- trave cornice; and the Termini, with an entablature of any of the three Grecian orders, according as they were them- selves decorated. , Male figures may be introduced with propriety, in arsenals, i or galleries of armour, in guard-rooms, and other places devoted to military affairs; they may either represent the figures of captives, or of martial virtues; such as Strength, Valour, Wisdom, Prudence, Fortitude, 8w. 1 As these figures should be of a striking character, they may be of any colossal size that will agree with the archi— tecture of other parts of the building. In composing Caryatides, the most graceful attitudes and pleasant features should be chosen; and, to prevent an appearance of stiffness, the drapery and features should be varied in the different figures of the range; at the same time, a general uniformity of shape should be preserved throughout. They should always be of a moderate size, or they will appear monstrous, and destroy those sensations, which representations of the fair sex ought to inspire. Le Clerc says they may be advantageously employed for sustaining the canopy of a throne; in which case, they should be represented under the figures and symbols of heroic virtues. In banqueting-rooms, ball-rooms, or other apart- ments of recreation, they must hear such characteristics as are calculated to inspire mirth, and promote festivity. As Termini are susceptible of a variety of decorations, they may be employed as embellishments for gardens and fields; where they may represent Jupiter, the protector of boundaries; or some of the rural deities, as Pan, Flora, Pomona, Vertumnus, Ceres, Priapus, Faunns, Sylvanus, Nymphs, and'Satyrs. They are also much employed in chimney-pieces and other interior compositions. CASE (from the French, caisse), an outside covering. envelope, box, or sheath ; applied generally to such coverings as completely surround the object enclosed. In building, it means the shell or carcase of a house. CASE-BAYS, in naked flooring, the joists framed between a pair of girders. Flooring-joists framed with one of their ends let into a girder, and their other ends inserted in the wall, are called tail-bays. The case-bays of floors and roofs should not exceed ten feet. CASE OF A DOOR, a wooden frame, in which the door is hung; door-cases are either constructed of architraves and linings, or wrought framed, rebated, and beaded; in the latter case. they are called door—frames. CASE OF A STAIR, a name given to a wall by which a staircase is surroundetil. CASED, a term in masonry, indicating that the outside of a building is covered or faced with materials of better quality than those of the backing or inside of the walls. Thus brick walls are frequently cased with stone, or with the best kind of bricks. See “CALL. Castcn Sasu-Fnamzs, have their vertical sides hollow, to conceal the weights for hanging the sashes. See SASiI—FHAME. CASEMATE, a cove, or hollow cylindrical moulding, the section of which is from one-sixth to one-fourth part of a circle. CASEMENTS, sashes or glass frames. opening on hinges, and revolving upon one of their vertical edges. “'hen a casement fills the whole aperture, it is called a single case- ment,- and when two are used, they are called double case- menis,fiildiny easements, or French sashes. Casements are more liable to admit rain, wind, or snow, in stormy weather, than vertical sliding sashes, particularly at the bottom. when they open from the inside. CASING or 'l‘nuncu-lVonK, is when the outside of a timber building is plastered all over with mortar; after which it is made to resemble stonework, by striking it, while wet, CAS l | l ‘l CAS with the edge of a trowel, or other implement, guided by a rule. This operation is best performed on heart laths, because the mortar is apt to cause a rapid decay in sap laths. The coating is commonly laid in two thicknesses, the second being applied before the first is dry. CAST (from the Danish, kaster, to throw), in plastering, a piece of insulated plaster, originally formed in a cavity, the bottom of which is the reverse of the face of the cast. The operation is thus performed : a small quantity of plaster of Paris is mixed with water in a bason, or pan, and stirred up with a spatula, till thoroughly incorporated; more plaster is then added by degrees, till the mixture assumes a moderate consistency, such as to flow on all sides when poured on a horizbntal surface; the mould being slightly oiled or greased, to prevent adhesion, the liquid plaster is poured in, so as to fill the mould, or something more. When stiffened in a small degree, the superfluous parts are scraped off to the middle, or in several parts at the edges ; when it begins to heat, which happens in a few minutes, it will be sufficiently hard: then, if the mould be made of wax, it may be removed by bending it away from the cast, gently at the edges, quite round, using the parts left on the surface as handles; and proceeding gradually towards the centre, till the cast is quite relieved; but if the material of the mould be brimstone, a slight knock on the back will relieve it. As this operation can only be performed in the direction of a straight line, no part of the cast near the bottom of the mould must project from this line to a greater distance than any part more remote, otherwise it cannot be drawn out without breaking such projections. If more relief is required, than what can be given by the mould, the cast must be undercut with a knife. If the impression can be relieved of the mould, the cast may be of one piece ; otherwise it must be made in several segments, and in such manner as may best conceal thejoinings. Plaster casts are sometimes used for mouldings, instead of working them by hand, in situations where .they cannot be conveniently run with a mould. An exact representation of an original piece of sculpture, or even of a living animal, may be taken, whether generally concave or convex, by using the original as a mould; on which, having first oiled or greased the parts in a slight degree, pour the plaster, as just directed; and this impression is in its turn to be used as a mould, and will give a fac-simile of the original. Pliny mentions the casting of faces from nature, as being early in practice among the Greeks. This useful art supplies the painter and sculptor with exact representations from nature, whether of men, brute animals, draperies, or plants; it multiplies models of all kinds, and is now brought to such perfection, that casts of antique statues are made perfectly similar to their prototypes, except only with respect to colour and materials. The introduction of plaster in architectural decorations, dates from the prevalence of the style called by us the Elizabethan, but its influence is more conspicuous during the succeeding or Italian style. It was first employed in Cill‘Ved and paneled wainscoting, and in the enrichment of the highly-decorated ceilings, which were a prominent feature in buildings of the period. At the first onset, however, the plaster was not cast, but each individual ornament moulded by hand, fixed in the situation which it was intended after- wards to occupy; it was indeed merely the substitution of plaster for wood, and the only advantage consisted in the facility with which the former could be carved, whereas the execution of the latter was diflicult. This advantage was further extended at the commencement of the eighteenth 2 r 109 GAS century, by casting the plaster ornaments in moulds previously prepared for the purpose, so that from a single mould might be produced a number of casts, thus reducing the expense considerably. Soon afterwards, another material was employed in similar decorations; this was the pulp of paper, which was very generally used, though not so extensively as plaster; through the poverty of the designs in this material, as well as the imperfection in the machinery of those days, it fell into disuse, and was at last entirely superseded by plaster. The latter material, however, could not produce the desired ultimatum, it answered very well so long as the Greek style of ornamentation prevailed; but when this was superseded by the French, Flemish, and Elizabethan, its defects were seriously felt: it was by no means calculated to express the fantastic forms of the latter, or the luxuriant richness of the former styles, especially when, as was frequently the case, the design was marked by bold projection and deep undercutting. This difficulty led to a new trial of the carton pierre, or papier maché as it is now called, which, by the aid of improved machinery, and a greater knowledge of chemical and general science, has been advanced to a high state of excellence, and is in every respect superior to plaster casts previously employed. One invaluable advantage it possesses, is, that it preserves the indents and undercutting of the original or mould, however much recessed; in fact, it can readily be made to assume any form, however intricate. Add to this its hardness and durability, its adaptation to external ornaments, for it is known to have remained unin- jured for many years, though exposed to the vicissitudes of the weather; its indestructibility by vermin, its lightness, and its sharpness, and truth of outline, and its superiority to plaster, will not be for a moment questioned. In many of the above particulars, it is superior even to wood, to which it is in some respects similar, for it may be cut with a saw or chisel, bent by heat or steam, and even planed and smoothed with sand-paper. Further, its lightness will allow it to be fixed in any situation, without fear of displacement, and it requires but nails or screws, and even in some cases only needle—points, to secure it firmly in its position. It holds pre-eminence over plaster, inasmuch as it will receive colour very readily, and gilding much more so than the generality of materials to which such enrichment is applied. Another article which has of late been introduced as a substitute for the above materials, is embossed leather, which in some instances is superior to either of them. It can be made to assume any degree of relief short of the complete round, and it preserves all the sharpness and fineness of out- line possessed by the mould from which it is cast. The moulds in this process are of metal, into which the leather previously prepared by steaming, is forced by a combination of hydraulic and pneumatic pressure, by which extraordinary power the finest lines on the mould are repeated with the greatest accuracy in the copy. It might be supposed from the nature of the material, that this delicacy of outline would be deteriorated by time, or that the cast might be altogether destroyed by damp; but there is really no ground for appre- hensions of this nature, as the casts are found under all circumstances to preserve, undiminished in the minutest details, the form transferred to them from the original mould, and to be improved and hardened rather than injured by age. This material has an advantage in the facility with which it can be made to imitate old carved work; indeed, when intro- duced in the restoration of such works, it is difficult to distinguish the original from the imitation ; it ma be coloured or gilded as desired. It is applicable to all kinds of interior decorations, such as cornices, friezes, 81c. and has been employed even in the entire paneling of rooms. i t l l i L.___.___.._____.__. “.4 - fl CAS llO CA8 Another material which, until very recently, was entirely unknown to us, but which, since its first introduction, has come into extensive use, threatens to prove a formidable rival to the above-mentioned articles—we allude to Gutta Percha. This substance has not been tested sufficiently to allow us to speak decidedly as to its applicability to the pur- poses we are considering; it is moulded into cornices, panels, and other forms of architectural decoration, and is on many accounts eligible for such uses; it can be moulded, cast, stamped, or embossed, into any form however elaborate, and is susceptible of colour; it has, however, disadvantages which for the present must preclude its employment ; for, although it promises considerable hardness, it is readily injured by contact with any sharp body; besides this, it is liable to soften and liquify when exposed to an elevated temperature. This last defect has been modified by a process to which the material is subjected in its manufacture, which is termed metallo-thionising, but still it has not been entirely removed. The properties of this production, however, have not yet been sufficiently developed to decide upon its capabilities; many improvements will doubtless be introduced into its manufacture, as its nature becomes more fully understood. CAST, among plumbers, a little brazen funnel at one end Of a mould, for casting pipes without soldering, through which the melted metal is poured into the mould. CAST, Rough. See ROUGH CAST. CASTELLA, or CASTLES, in British antiquity, one of the three kinds of fortifications built along the line of the wall of Severus, the other two sorts being denominated stations and towers. The Castella were neither so large nor strong as the stations, but much more numerous, there being in this wall no fewer than 81. The figure of the castellum was cubical, 66 feet in each dimension, fortified on every side by thick and lofty walls, but without any ditch, except on the north side, where also the wall was raised much above its general height, and with the adjoining ditch formed the fortification. The castella were placed in the intervals between the stations, generally at the distance of about seven furlongs from each other, and guards were constantly kept in them, consisting of a certain number of men, detached from the nearest stations. See CASTLE. CASTELLA, in Roman antiquity, also denoted the reservoirs, in which the waters from the aqueducts were collected, whence the city was supplied by leaden pipes. CASTELLATED HOUSES, those mansions which suc- ceeded the castles and fortified residences of the feudal barons; they still preserved the appearance of strength, although in reality incapable of defence against a regular force. These buildings were provided with battlements and turrets, rather for ornament, however, than for practical purposes. The windows are generally closed horizontally with labels over them; the apertures are sometimes divided by mullions, consisting of one or more munnions in the breadth, and one or two transoms in the height, by which the great opening is 1 divided into several smaller apertures, sometimes arched under the lintels, and sometimes also under the transoms. One of the most remarkable of these edifices is Haddon-Hall, Derby- shire. CASTING, the act of taking the impression of any sur- face, whether plain or sculptured, by pourng a liquid matter on that surface. See CAST. CASTING, in joinery and carpentry, is said Of a piece of timber, when its sides are bent or twisted frotn their original surfaces, by the fibres being unequally heated, dried, or moistened; or by being naturally disposed in diti‘ei'ent direc— tions; or the twist may, perhaps, arise from ditferent degrees of hardness in the body, occasioned by knots, 8w. This effect is otherwise called warping. CASTING or BRICK on STONE WALLS. See ROUGH CAST. CASTING OF BRONZES, is thus performed: The figure to be cast from must have a mould made on it, consisting of a mix- ture of plaster-of-paris and brick-dust, in the proportion of not more than one-third of the former, to two-thirds of the latter. The thickness of this mould must be according to its length and breadth, in order to be sufficiently strong. Little channels, tending upwards, should be cut in various parts of the joints, to give vent to the air forced out by the metal as it runs into the mould. After the mould is made, a thin layer of clay is spread smoothly and uniformly over its inner surface, of the intended thickness of the bronze; the mould is then closed, and its cavity filled with a composition of two-thirds brick- dust and one-third plaster, mixed with water, to form the core; previous to which, should the work be of any magnitude, it will be necessary to insert strongr iron bars within the mould, to secure it from accidents, and to facilitate the removal of the core. The mould being then opened, and the clay removed, is with the core thoroughly dried; to effect which more perfectly, they are exposed to the action of a charcoal fire or lighted straw ; great attention is required to this part of the process, for should the least moisture be suffered to remain, the mould will burst, and the cast be blown to pieces, to the great danger of the lives or limbs of the workmen. \Vhen the mould is finally closed, the cord must be supported in its place by short bars of bronze, running from the mould into the core. The whole then is bound round with iron bars, proportioned in strength to the weight of the cast, and laid in a proper situation for receiving the metal, supported by dry materials, as sand-stones, 8m. to prevent accidents. In placing the mould, due care must be taken to connect its mouth with the reservoirs, by means of a channel on an inclined plane, that the liquid metal may run freely. The form of the furnace, and mode of running, are similar to those practised in' bell-founding. CASTING 0F LEAD. See PLUMBING. CASTLE (from the Latin, castellum, a diminutive of ‘ castrum), in ancient writers, a town or village surrounded with a ditch, and wall furnished with towers at intervals, and guarded by a body of troops. Castellum originally seems to have signified a smaller fort, for a little garison. Though Suetonius uses the word where the fortification was large enough to contain a cohort. According to Vegetius, the castella were often, like towns, built on the borders of the empire, where there were con- stant guards, and fences against the enemy. IIorsley takes them for much the same with what were otherwise denominated stations. See CASTELLA. CASTLE, in a modern sense, is a place fortified either by nature or by art, in a city or country, to keep the people in their duty, or to resist an enemy. In the more extensive interpretation of the word, it includes the various methods of encampment, but in its stricter meaning, it is usually applied to buildings walled with stone, and intended for residence as well as for defence. Few branches of historical research have been so little attended to, as that which relates to military archi- tecture. Castles, indeed, such as we now see them, were of late introduction to the world. ll’hether we may rank them with the accommodations of life brought by the crusaders from the East, Is doubtful: but thus much seems tolerably certain, that it was in France, England, Germany, Switzer- land, and Savoy, that the system of castellation first prevailed. In Italy, till the Normans got possession of Naples and Sicily, castles were comparatively tew. “'e may at least date their general adoption in Europe with the feudal system LI "I "_ 7 '7. CAS The early British fortifications seem to have been little more than mere entrenchments of earth. Caesar, however, penetrated not far enough to know the true nature of the British for- tresses; and in his work, De Bella Gallico (lib. v. section 17), has given only the description of a lowland camp. In all parts of England, there is a vast number of strong entrench- ments of a very peculiar kind, situated chiefly on the tops of natural hills, and which can be attributed to none of the dif- ferent people who have ever dwelt in the adjacent country, but the ancient Britons. That they may have been used at different times, and occupied upon emergencies, by the sub- sequent inhabitants of the island, is no more than probable; but there are many, and undoubted reasons, for deeming them the strong posts and fastnesses of the aboriginal settlers, where they lodged their wives, formed their garrisons, and made their stand. That the Britons were accustomed to fortify such places, we have the authority of Tacitus, who, describing the strongholds formed and resorted to by Carac- tacus, says, “ Tunc montihus arduz's, et sz' qua clementer accedi poterant, in modum valli saxa prcestruit.”—Annal. lib. xii. sect. 33. One of these entrenchments still makes a formidable appearance on a mountain hanging over the vale of Nannerch, in Flintshire, called Moel-Arthur. But their situation being so high that they could have no supply of water except from the clouds, they were often liable to be untenable for a considerable time together. One of the most important of these fastnesses in our own country, is the Herefordshire Beacon, situated on a spot that could not but be an object of the utmost attention to the original inhabitants of those territories, which afterwards were deemed distinctly England and Wales, from the very division here formed. It is on the summit of one of the highest of the Malvern hills, and is known by the name just mentioned. It has been by turns attributed to the Romans, the Saxons, and the Danes, but its construction as a strong- hold shows it was designed as a security for the whole adjacent country on any emergency, Another of these for- tresses is at Bruff, in Statfordshire, which has been described by Mr. Pennant, in his Journey from Chester, p. 47, and exactly answers the account of Tacitus. It is placed on the summit of a hill, surrounded by two deep ditches, and has a rampart formed of stone. Other instances are adduced by Mr. Pennant, in his Tour in Wales, and by Mr. King, in the first volume of the Illunimenta Antigua: but a stronger instance than all, perhaps, is given by Mr. Gough, in the Additions to Camden, vol. ii. p. 404, where he shows that the true Caer Caradoc, the very fortress alluded to in the sen- tence we have quoted, which, if not the royal seat of Carac- taeus, seems to have been at least his stronghold, was in Shropshire, two miles south of Clun, and three from Coxal, being a large camp, three times as long as it is broad, on the point of a hill, accessible only one way, and defended on the north side by very deep double ditches, in the solid rock; whilst on the east, the steepness of the ground renders it impregnable. On the south it has only one ditch, for the same reason: and the principal entrance is on the west side, fenced with double works; whilst to the south-west it is even fenced with triple works. The most extraordinary, however, of all these kinds of fortresses, is situated in Caer- narvonshire, called Tre’r Caerz', or The Town of Fortresses. The plan and elevation of this ancient stronghold and abode is given by Mr. Pennant, in his Tour in Wales, vol. ii. p. 206. On the accessible side it was defended by three rude Walls of stone; the upper ones being lofty, about fifteen feet high, and sixteen broad; exhibiting a grand and extensive front. The space on the top is an irregular area; but the whole is filled with cells, some round, and some oval, and 111 . the legion. C A S some also oblong or square. Several of the round ones were fifteen feet in diameter; which brings to mind the houses of the ancient Gauls, described by Strabo; and of those that were oblong, there was at least one even thirty feet in length. Of the same kind of fortresses were Penmaen Mawr, in Caernar- vonshire, Warton Cragg, in Lancashire, Old Oswestry, in Shropshire; the irregular encampment of Maiden Castle, near Dorchester; and probably Old Sarum, whose character was new-modelled by the Romans. Mr. King, in the Mum'menta Antigua, vol. i. p. 63, considers the dens in the mountains and the thickets, of Scripture, as strongholds or hill-fortresses of the kind described. When Samson had made a great slaughter of the Philistines, we are told he went and dwelt in the top of the rock Elam; where we find, afterwards, three thousand men of Judah went up to confer with him. That hill-fortresses were used in the earliest ages, there can be little doubt. The Israelites, when their land was invaded by Jabin, the king of Canaan, in consequence of an exhorta- tion from Deborah the prophetess, assembled to make their stand upon mount Tabor. Among the Indians of South America, strongholds, of a similar nature to those of Britain, have been frequently discovered. Ulloa’s Voyage to South America, vol. i. p. 503-504. And a very curious instance of the attack and surrender of one in Sogdiana, in Asia, in the time of Alexander the Great, is related by Quintus Curtius, lib. vii. chap. xi. The anecdote is worth the reference of the reader. The British mode of warfare appears to have received but little alteration from the introduction of Roman tactics. Till finally subdued, their princes showed abilities both in the command of armies and in the conduct of war; they chose their ground judiciously; formed able plans of active opera- tions; and availed themselves of all the advantages of local knowledge: but to the fortresses described, if we may rely on the testimonies of our ancient writers, they did not very frequently retire. Their deficiencies both in the attack, the construction, and the defence of such places, must have been very obvious even to themselves; and as they delighted to live, so they usually chose to fight, in open plains. Their impatient courage, and their aversion from labour, made them unable to endure the delays and fatigues of defending or besieging the castles of their time; and they often reproached the Romans with cowardice, for raising such solid works about their camps and stations. See Boadicea’s famous speech to her army, in Xz'philin, ew Dione in Nerone. Of the Roman military works in this country, they were for the greater part temporary; many, however, were stationary posts; and some few, to the retention of which the greatest importance was attached, became walled castra. Caesar, in the work already quoted, De Bell. Gall. lib. vii. describes one of his camps as fortified very much in the man- ner of a walled city. A few of the Roman stations in our . own country assist in throwing light on the description; and, in short, such as were so surrounded, appear to have been the link of connection between the British earth-work and the feudal castle. Richborough, Portchester, and Pevensey, are the three greatest fortresses the Romans have left us. Richborough, the very earliest in order of time, is supposed to have been begun in the year 43, in the reign of Claudius; but not to have been completed till 205, under the direction of emperor Severus. There are in this distinguished fortress, says Mr. King, (Mum'menta Antigua, vol. ii. p. 8) still plainly to be traced all the principal parts of one of the very greatest and most perfect of the stationary camps. The upper division for the general and chief officers, and the lower division for In the former, the przetorium with its parade; GAS 112 CAS and the sacellum, or small temple, for depositing the ensigns. In the walls too are the traces of the four great gates; the decuman, the practorian, and the two posterns. The great courses of stone, with which the wall is formed, are separated from each other by alternate layers, composed entirely of a double course of bricks each; as in the walls of Verulam, Silchester, and other of our Roman towns. The Roman remains at Portchester are not perhaps so clearly to be traced; since, having been constantly used as a fortress in succeeding ages, it has received vast and extremely various additions: and presents us with specimens of military architecture in almost every period, from the Normans to the time of Queen Elizabeth. Similar alterations to those first mentioned, have given so strong a turn to the general character of Pevensey, that its real tera has been sometimes doubted; though portions of the Roman wall, as well as the decuman gate, may be easily and accurately traced. Here too it may not be irrelevant to observe, that the castle at Colchester, in Essex, has been sometimes taken for a Roman fortress. And this not only because it has many of the same sort of tiles which are found in Roman walls, but because they are laid in the same manner, with bands. Though, if the building be examined with attention, there may be traced, in almost every part, evident marks either of the later Saxon or Norman workmanship: and though many of the tiles which are used in it may have been gathered from the remains of Roman buildings, the greater part appears to have been made on purpose. See the Arc/twologia, vol. iv. p. 33. That in the Roman times, however, there must have been many other such walled stations as those at Richborough, Portchester, and Pevensey, there can be little doubt. The Saxons, in the course of their long wars with the Britons, may be fairly supposed to have destroyed many of the fortifi- cations which had been thus erected: and after their final settlement, they neglected to repair those which remained, or to build many of their own. By these means the country became open and defenceless; which greatly facilitated the incursions of the Danes, who met with little obstruction from fortified places. That there was, however, something like a castle at Bamborough, in Northumberland, we have the con- current testimony of historians, as Matthew of Westminster, p. 193, sub ann. 547. Saxon Chronicle, p. 19. Roger Hoved. p. 238, b. Bede, lib. iii. chap. vi. p. 12 : a castle at Corfe, in Dorsetshire, is said to have existed in the days of Edgar. Gongh’s Add. to Camden, vol. i. p. 49. King's III/mi- menta Antigua, vol. iii. p. 209. Portchester castle, during this period, probably retained its designation. And Mr. King, Illanimenta Antigua, vol. iii. p. 211, has taken consi- derable pains to prove that the fortress at Castleton, in Derby- shire, is of as high antiquity. Alfred the Great, however, seems to have been the first of our princes with whom the building of castles became an object of national policy. Though, if Asser’s authority may be received, they were not exactly what the reader, at the first mention of their name, might take them for; since they were composed not only of stone, but of wood; Asser dc Rel). gestis Alfi'edi, p. 17, 18. Elfleda, too, his daughter, gover— ness of Mercia, who seems to have been the only person in the kingdom who properly complied with the commands, and imitated the example, of her illustrious father, and who in- herited more of the wisdom and spirit of Alfred than any of his children, not only followed his steps by fighting many battles with the Danes, but built not less than eight castles in the space of three y tars, to check their incursions. llen. Hunt. 115”. p. 20;}. A still more remarkable instance of the knowledge of castle-building at a short period subsequent to this, may be found in W'illiam of Malmesbury, chap. vi. when he mentions the rebuilding of Exeter by Athelstan, who died in 941. “ Urbem igitur illam,” says the historian, “ quam con- taminatce gentis repurgz'o dcfcecaverat, turribus munivit, mum ex quadratic lapidz'bus cimcit.” And from the few remains of the fortifications of this period, we find, that the walls pre- cisely answer Malmesbury’s description. They were faced with these four-square stones both within and without, and the intermediate space between the facings, was filled up with rubble or rough flint-stones, mixed together with a strong and permanent cement. It is to this period too, that the most judicious of our writers have referred the castle at Colchester, which has been already mentioned. Its form is four-square, flanked at the four corners with strong towers, and it is about two hundred and twenty-four yards in circum- ference on the outside, all projections and windings included; the four sides nearly facing the four cardinal points. Some have even gone so far as to call this venerable ruin British ; others, as we have already said, have attributed it, with a greater share of plausibility, to the Romans; but Camden and our better writers ascribe it to Edward the Elder, who repaired the walls and rebuilt the town, in the beginning of the 10th century. Still, however, the paucity of strong posts in the island during every period of the Anglo-Saxon history, may be constantly observed. And it is more than probable that to this defect we may attribute the defeat of Harold; since it became necessary that all should be risked upon the issue of a single battle. The Conqueror, himself, was evidently sen- sible that the want of fortified places in England had greatly facilitated his conquest, and might, at any time, also facilitate his expulsion. He therefore made all possible haste to remedy the defect, by building magnificent and strong castles in all the towns within the royal demesnes. “ “'illiam,” says Matthew Paris, “excelled all his predecessors in building castles, and greatly harassed his subjects and vassals with these works.” Matthew Paris, III'st. p. 8. col. 2. And his earls, barons, and even prelates, imitated his example; and it was the first care of every one who received the grant of an estate from the crown, to build a castle upon it, for his defence and residence. The disputes about the succession, in the following reigns, kept up this spirit for building great and strong castles. \Villiam Rufus was still a greater builder than his father; and Henry I. was not idle in adding to their number. “ William Rufus,” says Henry Knyghton, col. 2373, “was much addicted to building royal castles and palaces, as the castles of Dover, “'indsor, Norwich, Exeter, the palace of Westminster, and many others, testify; nor was there any king of England before him that erected so many, and such noble edifices.” Though of one or two of these, \Villiam Rufus was only the improver. But the rage for building castles never prevailed so much in any period of the English history as in the turbulent reign of Stephen, between 1135 and 115—1. the Saxon Chronicle, p. 238, every one, who was able, built a castle; so that the poor people were worn out with the toil of these buildings, and the whole kingdom was covered with castles. And this last expression will hardly appear too strong, when we are informed, that, besides all the castles before that time in England, no fewer than eleven hundred and fifteen were raised from the foundation, in the short space of nineteen years—Rad. dc Diceto, col. 528. “Stephen,” says llolinshed, \‘01. iii. fol. 50, “began to repent himself, although too late, for that he had granted license to so many of his subjects to build castles within their own grounds.” In this reign, says the writer, of l 1 CAS 113 CAS An art, Dr. Henry observes, (History of Britain, vol. vi. p. 188, 8vo.) so much practised as architecture was in this period, must have been much improved. That it really was so, will appear from the following very brief description of the most common form and structure of a royal castle, or . of that of a great earl, baron, or prelate, in this period ; and as- these castles served both for residence and defence, this description will serve both for an account of the domestic and military architecture of those times, which cannot well be separated. ' The situation of the castles of the Anglo-Norman kings and barons was most commonly on an eminence, and near a river; a situation on several accounts eligible. The whole site of the castle (which was frequently of great extent and irregular figure) was surrounded by a deep and broad ditch, sometimes filled with water, and sometimes dry, called the fosse. Before the great gate was an outwork, called a barbacan, or antemuml, which was a strong and high wall, with turrets upon it, designed for the defence of the gate and drawbridge. On the inside of the ditch stood the wall of the castle, about eight or ten feet thick, and between twenty and thirty feet high, with a parapet, and a kind of embrasures, called crennels, on the top. On this wall, at proper distances, square towers, of two or three stories high, were built, which served for lodging some of the principal officers of the proprietor of the castle, and for other purposes; and on the inside were erected lodgings for the common servants or retainers, granaries, storehouses, and other necessary ofiices. On the top of this wall, and on the flat roofs of these buildings, stood the defenders of the castle, when it was besieged, and from thence discharged arrows, darts, and stones, on the besiegers. The great gate of the castle stood in the course of this wall, and was strongly fortified with a tower on each side, and rooms over the passage, which was closed with thick folding-doors of oak, often plated with iron, and with an iron portcullis, 0r grate, let down from above. Within this outward wall was a large open space, or court, called, in the largest and most perfect castles, the outer bugle or ballium, in which stood commonly a church or chapel. On the inside of this outer bayle was another ditch, wall, gate, and towers, enclosing the inner bayle, or court, within which the chief tower, or keep, was built. This was a very large square fabric, four or five stories high, having small windows in prodigious thick walls, which rendered the apartments within it dark and gloomy. This great tower was the palace of the prince, prelate, or baron, to whom the castle belonged, and the residence of the constable or governor. Under ground were dismal dark vaults, for the confinement of prisoners, which made it some- times be called the dungeon. In this building, also, was the great hall, in which the owner displayed his hospitality, by entertaining his numerous friends and followers. At one end of the great halls of castles, palaces, and monasteries, there was a place raised a little above the rest of the floor, called the dais, where the chief table stood, at which persons of the highest rank dined. Though there were unquestionably great variations in the structure of castles and palaces in this period, yet the most perfect and magnificent of them seem to have been constructed on the above plan. Such, to give one example, was the famous castle of Bedford, as appears from the following account of the manner in which it was taken by Henry III. A.1). 1224, from Matthew Paris, Iflst. Angl. p. 221-2. The castle was taken by four assaults. “In the first, was taken the barbacan; in the second, the outer ballia; at the third attack, the wall by the old tower was thrown down by the miners, where, with great danger, they possessed themselves of the inner ballia, through a Chink; 2 G at the fourth assault, the miners set fire to the tower, so that the smoke burst out, and the tower itself was cloven to that degree, as to show visibly some broad chinks ; whereupon the enemy surrendered.” As Britain abounded in this period in fortified towns and castles, much of the art of war, of course, consisted in defending and assaulting strong places; and a knowledge of the application of them in this period may be obtained from the relation of the siege of Exeter castle by king Stephen, in the year 1136. See the Gesta Regis Stepham, apud Duchesn, p. 934. It is perhaps the most consummate specimen of the military skill of that age with which we are acquainted. And it may be enough to observe, that after this siege had lasted three months, and king Stephen had expended upon it in machines, arms, and other things, no less than 15,000 marks, equal in efficacy to 150,000 pounds of our money, the besieged were obliged to surrender for Want of water. Henry’s [fist quritain, vol. vi. p. 217. Berkeley, which was originally founded in the reign of Stephen, is one of the best remains we are now possessed of, of an ancient feudal castle. But the changes which almost all these buildings have undergone in subsequent times, may bejudged of by those which have taken place at Berkeley. The buildings within the inmost only of the three gates are said to have been the work of Henry II. when duke of Normandy; while the two outermost, with all the buildings belonging to them, except the keep, are referred to the latter end of the reign of Henry II. and to those of the second and third Edwards. The hall and the two chapels are of the latter period; and the great kitchen, adjoining to the keep, was of the work of Henry VII. Among the castles which Mr. King has endeavoured to appropriate to the early Norman period, are those of Notting- ham, Lincoln, and Clifford’s tower at York, all erected by the Conqueror: Arc/zeal. vol. vi. p. 257. The remains of all these, he observes, fully illustrate the Norman mode of constructing such edifices. Tickhill, in the neighbourhood of Doncaster, appears to have been another of these castles, ibid. 267; and Pontefract bespeaks a Norman design, with rude and imperfect alterations. All of these appear to have been erected upon artificial mounts, and nearly cover the whole area of the summit of the respective hills on which they are situated. Tunbridge castle, in Kent, built by Richard de Clare, about the time of William Rufus, is mentioned by Mr. King, as a specimen of the later Norman structures; and he has been very accurate in his description of it; ibid. 270. Gundulph, who directed the building of the Tower of Lon- don, in 1078, and the'castle at Rochester, he describes to have introduced a great manyjudicious alterations, and not only to have increased the security, but the magnificence of our military piles; and observes, that the castle at Rochester is a complete specimen of all that he effected. Newark, which Mr. King afterwards mentions, is an instance of a prelate’s castle in the reign of Stephen : and the keep of Knaresborough, of the time of Henry 111., completes the specimens it may be proper to mention of the irregular style of castle-building which prevailed during the interval between the Norman Conquest and the middle of the thirteenth century. To these succeeded the magnificent piles of Edward I., more convenient and more stately, and containing not only many towers, but great halls, and sometimes even religious houses. The best style of military architecture in this period was displayed in the castles of Caernarvon, Conway, and Caerphilly; and it is singular to observe that many of our more ancient castles were then increased with additions in the same sumptuous style. CAS 114 GAS After the age of Edward I. we find another kind of castle introduced, approaching nearer to the idea of modern palaces. The first of these was that at Windsor, built by Edward III. who employed William of Wykeham as his architect. This convenient and enlarged style of building was soon imitated, on a lesser scale, by the nobles of the realm; and two remarkable instances, wherein convenience and magnificence were singularly blended at this period, may be found in the castles of Harewood and Spotford, in Yorkshire. The im- provements at Kenilworth afford another instance of the great enlargement which our castles, during this age, were accustomed to receive: and Naworth, in Cumberland, is another of the best specimens that can probably be referred to. Caistor, in Norfolk, affords the style of Henry the Sixth’s reign. It was built by Sir John Fastolf, who died in 1459. To these venerable piles succeeded the castellated houses; mansions adorned with turrets, and battlements; but utterly incapable of defence, except against a rude mob, armed with clubs and staves, on whom the gates might be shut; yet still mansions almost quite devoid of all real elegance, or com- fortable convenience, and fitted only to entertain a herd of retainers wallowing in licentiousness. At the same time, however, they discover marks of economy and good manage- ment, which enabled their hospitable lords to support such rude revels, and to keep up their state, even better than many of their more refined successors. Of these buildings one of the most perfect and most curious, now remaining, is Haddon House, in Derbyshire; castellated and embattled, in all the apparent forms of regular defence; but really without the least means of resistance in its original construc— tion. The description Mr. King has given of it, Arc/awol. vol. vi. p. 347, is, however, too long to be extracted, and too curious to be abridged. After this kind of building, the magnificent quadrangular houses of the reign of Henry VIII. succeeded; of which the most beautiful and genuine models, perhaps, were those of Cowdray, in Sussex, and Penshurst, the seat of the Sidney family, in Kent. Without referring to the stately buildings of Elizabeth’s reign, it may be enough to say, that here ends the history of the English castle. The block-houses of Calshot, Hurst, Sandown, Sandgate, and South Sea, are the last instances of such buildings ever intended for a stand, and seem strongly to mark the revolution which has taken place in our defensive system of war. The total change in military tactics brought about by the invention of gunpowder and artillery; the more settled state of the nation, Scotland becoming part of the dominions of the kings of England; the respectable footing of our navy, whose wooden walls secure us from invasions; and the abo- lition of the feudal system,—all conspired to render castles of little use or consequence, as fortresses: so the great improve- ments in arts and sciences, and their constant attendant, the increase of luxury, made our nobility and gentry build them- selves more pleasant and airy dwellings; relinquishing the ancient dreary mansions of their forefathers, where the enjoy- ment of light and air was sacrificed to the consideration of strength; and whose best rooms, according to our modern refined notions, have more the appearance of gaols and dungeons for prisoners, than apartments for the reception of a rich and powerful baron. However, in the reign of Charles I., a little before the breaking out of the civil war, some inquiry into the state of these buildings seems to have taken place; for on the 22nd of January, 1636, a commission was issued, appointing lieutenant-colonel Francis Coningsby, commissionary-general of and for all the castles and fortifications in England and Wales, with an allowance of 13s. 4d. a day, to be paid out of the cheques and defalcations that should be made by him from time to time; or, in default thereof, out of the Treasury. Whether this office was really instituted for the purpose of scrutinizing into the state of these fortresses, as foreseeing the events which afterwards happened; or whether it was only formed to gratify some favourite, does not appear. During the troubles of that reign, some ancient castles were garrisoned and defended, several of which, particularly Corfe castle, in Dorsetshire, were afterwards destroyed, by order of the parliament; since that period, they have been abandoned to the mercy of time, weather, and the more unsparing hands of avaricious men. The last have proved the most destructive; many of these monuments of ancient magnificence having been by them demolished for the sake of the materials: by which the country has been deprived of those remains of antiquity, so essential, in the eyes of foreigners, to the dignity of a nation; and which, if rightly considered, tended to inspire the beholder with a love for the now happy establishment; by leading him to compare the pre- sent with those times when such buildings were erected: times when this unhappy kingdom was distracted by intes- tine wars; when the son was armed against the father, and brother slaughtered brother; when the lives, honour, and pro- perty of the wretched inhabitants depended on the nod of an 1 arbitrary king, or were subject to the more tyrannical and capricious wills of lawless and foreign barons. The few castles existing in the Saxon time, were, pro- bably,- on occasion of war, or invasions, garrisoned by the national militia, and, at other times, slightly guarded by the domestics of the princes or great personages who resided in them; but after the Conquest, when all the estates were converted into baronies, held by kni-ght’s service, castle-guard, coming under that denomination, was among the duties to which particular tenants were liable. From these services the bishops and abbots, who, till the time of the Normans, had held their lands in frank-almoign, or free alms, were, by this new regulation, not exempted; they were not, indeed, like the laity, obliged to personal service, it being sufficient that they provided fit and able persons to ofiiciate in their ; stead. This was, however, at first vigorously opposed by i l Anselm, archbishop of Canterbury; who, being obliged to find some knights to attend King “'illiam Rufus in his wars in \Vales, complained of it as an innovation and infringement of the rights and immunities of the church. It was no uncommon thing for the Conqueror, and the l kings of those days, to grant estates to men of approved fide- i lity and valour, on condition that they should perform castle- i guard, with a certain number of men, for some specified time; i and sometimes they were likewise bound by their tenures to f keep in repair some tower or bulwark, as was the case at 3 Dover castle. In process of time, these services were commuted for annual rents, sometimes styled ward-penny, and u'ayt-fce, but commonly castle-guard rents ; payable on fixed days, under prodigious penalties, called sur-sizes. At Rochester, if a man failed in the payment of his rent of castle-guard on the feast of St. Andrew, his debt was doubled every tide, during the time for which the payment was delayed. These were afterwards restrained by an act of parliament, made in the reign of King Henry VIII., and finally annihilated, with the tenures by knight’s service, in the time of Charles II. Such castles as were private property, were guarded either by mercenary soldiers. or the tenants of the lord or owner. Castles which belonged to the crown, or fell to it either by forfeiture or escheat (circumstances that frequently happened CAT 115 ‘ CAT in the distracted reigns of the feudal times) were generally committed to the custody of some trusty person, who seems to have been indifi'erently styled governor or constable. Some- times also they were put into the possession of the sheriff of the county, who often converted them into prisons. That officer was then accountable to the exchequer, for the farm or produce of the lands belonging to the places entrusted to his care, as well as all other profits: he was likewise, in case of war or invasion, obliged to victual and furnish them with munition out of the issues of his county; to which he was directed by writ of privy seal. Variety of these writs, temp. Edw. 111., may be seen in Madox’s History of the Exchequer,- and it appears, from the same authority, that the barons of the exchequer were sometimes appointed to survey these castles, and the state of the buildings and works carrying on therein.—Rees’s Cyclopedia. CASTRA, the Latin name for a camp. CASTS. See CAST and CASTING. CATABASION (from xarafiaww, I descend ), in the Greek church, a hollow place under the altar, wherein the relics were kept, and through which was the descent into the vaults beneath. CATABULUM, a building, or stable, in which the beasts of burden and carriages were kept for the public service. The ancient Christians were sometimes condemned to serve in the catabula. CATACAUSTIC CURVE. See CAUSTIC CURVE. CATACOMB, a grotto or subterraneous place for the interment of the dead. ‘ In Italy, this term is particularly applied to an assemblage of subterraneous sepulchres, three leagues from Rome, in the Via Appia. Each catacomb is three feet wide, and eight or ten feet high, running in the form of an alley or gallery, and communicating with each other. Some authors imagine them to be the cells wherein the primitive Christians hid them- selves; and others take them to be the burial-places of the early Romans, before the practice of burning the dead was introduced. The most celebrated catacombs are those of Egypt, wherein the ancient inhabitants deposited their mummies. The descent into them is through a square aperture with holes in the sides, for the feet, somewhat like an upright ladder. These excavations are hewn out of the solid rock, which consists of free—stone, and the walls are adorned with hieroglyphics, and representations of utensils and implements of war. See Poeock, Norden, and Denon. CATADROME, an engine used in building, for lifting and letting down great weights. CATAFALCO (from the Italian), a decoration, of archi- tecture, sculpture, or painting, raised on a scaffold, on which to exhibit a coffin or cenotaph, in a funeral solemnity. CATCH-DRAIN, in the construction of canals, the same as counter-drain; sometimes it also implies the feeders of a reservorr. CATENARIA, a mechanical curve, which a heavy flex- ible body, of uniform thickness, would form itself into, if hung freely from its two extremities. The famous Galileo first investigated the nature of this curve, and supposed it to be a parabola. This problem, after being... proposed by Mons. J. Bernouillé, was first solved by Dr. D. Gregory, who also affirmed, that the inverted catenaria was the best. figure for the arch of a bridge; the intrados of which, however, must depend entirely upon the curvature of the extrados. CATHEDRAL, (from the Greek, xaUeBpa, a chair; derived from xaflziupat, sedeo, I sit,) the head church of a. diocese, wherein is the see or seat of a bishop. During the first ages of the church, cathedrals were pro- bably more numerous than other churches, as we know that there was a bishop in every town of importance wherever the Christian religion prevailed. The bishop, the head of the church, was assisted in the services of religion by his priests and deacons, the bishop, however, retaining the more important duties, such as preaching and the administration of the sacraments, which he seldom delegated to the assistant presbyters, unless necessitated so to do. ‘In process of time, as occasion offered, other churches were formed, subject to the mother-church and to the jurisdiction of its bishop; at this early period. however, it cannot be doubted but that the proportion of bishops to the lower order of the clergy was much greater than at the present day, and consequently the number of cathedrals or bishops’ sees must have been more numerous. It is not our intention, however, in this place, to dwell at length upon the general subject ; we would confine ourselves more especially to our own country, and will ac- cordingly proceed to investigate the accounts we have left us of the early cathedrals of Great Britain. No one, probably, would think of controverting the fact of the early introduction of Christianity into this country; it may indeed be questioned whether Saint Paul, or Saint Joseph, or the British king Lucius, be the benefactor to whom we owe its introduction ; but its existence here during the first century will scarcely admit of a. doubt. We know further that the British church was episcopally governed, for we hear of the presence of‘British bishops at the council of 1 Arles, as early as the connnencement of the fourth century; and we have consequently every reason to conclude that the episcopal form of government was co-existent with the church, and further, that if churches existed at all, some such churches must have been cathedrals. We cannot speak with any degree of certainty of the date, form, or material of the first cathedrals. Dr. Milner says, that a cathedral was erected by Lucius, at Winchester, of the enormous length of 600 feet, as early as the close of the second century. Whether the dimensions given do not belie the whole statement must be left to the judgment of indi- viduals; but there is good reason to believe that churches did exist at this period, as we hear of their demolition during the Diocletian persecution, which took place A.D. 303. Upon the success of the Pagan-Saxons, the Christian churches of England were of course destroyed, whilst those in “Tales and south—west of England, where the British Christians had retreated, were considerably increased; this was especially the case with monasteries, which served in a measure as places of safety, and in building which the Britons followed the salutary advice of Saint Germain. Upon the conversion of the Saxons by Saint Augustine, churches again made their appearance in Kent, as We learn that a cathedral was erected by that missionary-bishop at Canter- bury, and dedicated under the title of Christ Church. At a not much later period we hear of the foundation of the cathedral churches of Saints Paul and Andrew, the one at London and the other at Rochester. Shortly after Augus- tine’s mission in the south, the wonderful success of Paulinus in the northern parts of the island, in converting the king, Edwin, and his pagan subjects, gave rise to the cathedral of 1 York. It is stated that Edwin first erected a church of tim- ber in this city, but afterwards built a larger church of stone, in which'the timber one was enclosed. Paulinus, again suc- cessful at Lincoln, caused to be erected a church of stone, of 1 “ admirable workmanship,” as Bede tells us. Stephen Eddy, a writer older than Bede, informs us that Wilfrid, bishop of York, finding, upon taking possession of his see, that the old church built by Edwin and Oswald was in a dilapidated condition, set about repairing it—“ skilfully 'oA'r roofing it with lead, and preventing the entrance of birds and rain by putting glass into the windows, yet such glass as allowed the light to shine within ;” and our author goes on to state that the same Wilfrid built a new church at Ripon, of polished stone, “ with columns variously ornamented, and porches.” The account of the dedication of this church is given in full, and is the earliest description of the kind extant. A curious and somewhat detailed account is given by the Monk of Ramsey, of the construction of the church at Ram- sey existing previously to the one dedicated in his time. He says, “it was raised on a solid foundation, driven in by the battering-ram, and had two towers above the roofs: the lesser was in front at the west end ; the greater, at the inter- section of the four parts of the building, reste on four columns, connected together by arches carried from one to the other.” He further adds, that this church was obliged to be pulled down, and a new one erected in its stead, in consequence of a settlement in the central tower, which ren- dered the entire building unsafe—T hat this church was of stone can scarcely be doubted, after perusing the above narrative; but we have direct and explicit mention of the fact, for the same author, in describing the labours of the workmen, says: “ Some brought the stones, others made the cement, while others attended to the machines for raising the stones; so that in a short time was seen the sacred edifice with its two towers, where previously there had been but a barren waste.” A curious representation of an Anglo-Saxon Church is to be seen in an Illuminated Pontifical in the Public Library at Rouen, containing the order for the dedication and con- secration of churches; the date of which is ascribed by some to the eighth, and by others to the tenth, century; that the manuscript is of English origin has never been doubted. This miniature in black outline represents the ceremony of dedication. The form of the church is remarkably similar to that of our existing cathedrals, which is more especially noticeable in the form of the towers and spires, the symboli- cal cock on the steeple, and the ornamental hinges of the door. We are here naturally led into some inquiry respecting the materials, form, and disposition of these early cathedrals. The materials employed by the Anglo-Saxons seem to have been wood and stone, but during what time either material was used cannot easily be determined; whether they were both used at the same, period, under different circumstances, or whether at any point of time the one was superseded by the other, we are unable to learn. It has been supposed, and with some plausibility, that wooden churches were erected by the Scotch and Irish missionaries, and the more substan- tial fabrics by those from Rome, and this idea seems to be borne out by Bede, who states “that Adrian, the first bishop of Lindisfarne, having departed this life, Finan, sent and ordained by the Scots, succeeded him, and built a church in the island after the method of the Scots; which was built not of stone, but of hewn oak, and covered with reeds.” This writer adds, that “ Eadbert, the seventh bishop, took off the thatch, and covered both the walls and roof with lead.” It seems very reasonable likewise that the Roman missionaries, who had been used to the structures of Italy, should not feel satisfied with mere wooden buildings. It is true it seems to be noted as somewhat unusual, that \Vilfrid built a church at Ripon of polished stone, yet the novelty may not have con- sisted i.: the erection being of stone, but rather in the fact of the stone being smoothed or polished; for it is probable that the first buildings, after the Roman manner, were of rough .mdressed stone, there being neither time, means, nor workmen 116 ‘ CAT to complete a more finished structure. It is very probable that Wilfrid’s church was built by Italian workmen, as we know that he had frequented Rome, and was a man too zealous in promoting the temporal splendour of the church, to allow any opportunity of forwarding his object to slip past unimproved. There can be little doubt but that in process of time the employment of stone entirely superseded that of timber. N o inconsiderable notion is afforded us of the form and dis- position of the parts of the early cathedrals, from an account already referred to—we allude to that of the church at Ramsey. From this description we gather that the plan of the church was cruciform, with a tower rising from the intersection, and another at the west end of the church. lVe learn from Wolstan, that there was a tower at the west end of the old church at Winchester, but that in the new structure the tower was towards the eastern extremity, and of the last it is related that it consisted of five stories, in each of which were four windows looking towards the cardinal points. Further, in the miniature of the Illuminated Pontifical above described, we notice that the tower is surmounted by a steeple, a fact which, were it not for other considerations, would almost tempt us to refer the manuscript to a much later date, as we know that such additions were not very frequent, even in the Norman period; indeed, the idea of a. Saxon cathedral afforded us by these descriptions, approaches very nearly to actual existing specimens of much later date. We must not conclude from these accounts that all churches of this date were cruciform, for we learn the contrary from Bede, who speaks of churches as square ; some have supposed that Ramsey was the first instance of a cruciform edifice, but this was not the case, as is evinced by a metrical description of a cathedral, written long before its erection. Having thus far considered the nature of the Saxon cathe- drals, we arrive at the Norman era, during which a great number were erected; but as We have no lack of existing examples of this period, we do not think it requisite to pur- sue a detailed inquiry any furtherzwe shall now proceed to some description of the cathedrals of the present day. The term Cathedral includes generally the whole of the buildings connected with the bishop’s see, including the church, chapter-house, chapels, Cloisters, dormitories, refec- tories, residences for those engaged in attendance on the bishop, and in the services of the cathedral, and buildings for a variety of uses; it is applied, however, in a more especial sense, only to the church, and to such application we shall confine ourselves in the following remarks. The plan of our old cathedral churches is invariably that of a Latin cross, having the nave in the longest arm, the . transepts in the two cross arms, and the choir, comprising the remaining length of the church, to the east of the nave; the English always placing their altar at the east end, which was more frequently square, than either circular or multangular, as in the continental churches. Not unusually the plan was extended further eastward, to provide for an additional chapel, dedicated to our Ladye, and Sometimes, though much less frequently, a similar, but smaller projection, was added at the west end : this was the Galilee porch, so named, as we learn from Gervase, from the passage of Scripture—“He I gocth before you into Galilee, there ye shall see him,"— this being the place where the monks were allowed to see their female relatives; here was also the station of catechumens, and the resting-place of corpses previous to their interment. In some instances we find a double trausept, east and west of each other, as at Canterbury; the additional arm is accounted for symbolically as representing the inscription placed above CAT 117 CAT the head of our Lord at his crucifixion, the lower symboliz- ing the cross-piece on which the arms were extended. It is noticed in some cathedrals that the eastern extremity is not in the same line with the nave, but. bent on one side, as it were; this is explained in a similar manner as marking the inclination of the head of our Lord while 011 the cross. At the west end of the nave, on each side of it, were situated the towers, and another at the intersection of the nave and tran- septs, all of which were in some cases surmounted with spires; sometimes this addition was restricted to the western towers, but it is frequently omitted altogether, when the towers are usually carried to a greater elevation. At Exeter, we meet with the towers forming the transept, and at Peterborough with one at the northern extremity of the west transept. Internally the nave and choir are divided into three aisles, the central one being carried up above the others. This tripartite division is seldom carried out in the transepts, in which, however, we sometimes find one aisle as at Durham, and sometimes two as at Westminster and Bristol. The aisles are separated from the body of the church by an arcade, immediately above which the vaultng commences; in the body, however, between the arcade and vaulting, are inter- posed two stories, the lower one consisting of a gallery called triforia, opening into the nave and choir by means of a small arcade, and supposed to have been appropriated to the nuns; and the upper, termed the Clerc-story, in which were placed the windows for lighting the central avenue of the church. In Bath Cathedral, the triforia are omitted, and their place supplied by a string-course. An approximation to the proportions of the different mea- * surements of cathedral churches is given by Brown “rillis, as follows :—The height is generally equal to the breadth of the nave and aisles; the cross, in which the transepts and intermediate space are contained, is extended half the length of the whole fabric, as is likewise the nave; the side—aisles equal half the breadth and height of the nave, and the spires and tower have a mean proportion between the length of the nave 'and that of the transept. The above description will give a general idea of the con- struction of our cathedrals; but from the exceptions already noticed, it will be understood that no rule applies invariably to all buildings of the kind ; for although the plans are in all cases similar, and the arrangement of the parts of the edifice systematic, yet we find not one cathedral in any respect a copy of another. We now proceed to give some account of the edifices of this rank preserved to us in the present day, of which we have 21 in England, and 4 in Wales. There were also 13 in Scotland, and 22 in Ireland. In addition to the num- ber already mentioned, we have in England one modern- cathedral, Saint Paul’s, London ; besides which the collegiate church at Manchester has recently been elevated to the dignity of a bishop’s see; but as the latter was never con- structed for such a purpose, we do not think it can be correctly included with the others as an architectural example. The following is an account of the elections of cathedral churches 111 England, and additions made to them, arranged in chronological 01der: -—— '10 the period of the Anglo- Normans, or between 1066 and 1170, including the reigns of William I. and 11., Henry 1., Stephen, and the first sixteen yeals of Hemy II, we may attribute the western front and nave of Rochester cathedral; the nave, north aisle, and the chapels lound the choir of that at Gloucester; the original substructure of Exeter cathedral with its t1ansepts and towels , the centr‘ial tower and transept of Winton cathedral , the nave of that at 2 H i Chiche‘ster , the north transept of that at Ely; the choir of Peterborough cathedral; the oldest part of the western front and cent1alo tower of that at Lincoln , the central church of Durham, excepting the additional transept on the east; the nave and tower of Norwich ; and many arches of Worcester cathedral. In the period between 1170 and 1220, including the latter part of the reign of Henry II., and the reigns of Richard I. and John, the older Ladye chapel and chapter-house of Bris- tol were erected ; as were likewise the choir and round tower (called Becket’s Crown) at Canterbury ; the nave and chapter-house at Oxford; the nave and choir of Norwich cathedral ; the western towers at Ely; the transepts of Peterborough ; the presbytery, Chichester ; the transept, tower, and choir of that at Hereford ; the nave and choir of W'ells cathedral (begun) ; and the chapter-house of Chester. I11 the period between 1220 and 1300, including the reigns of Henry III. and part of Edward I., were erected the nave and arches beyond the transept of Lincoln cathe- dral; the north and south transepts of York minster; the choir and transept, Rochester ; an additional transept to the cathedral of Durham ; the tower and whole western front of that of Wells ; the choir at Carlisle ; the presbytery and south transept at Ely; the transept and choir at Worcester ; and the whole of Salisbury cathedral. In the period between 1300 and 1400, including the latter part of the reign of Edward I , and the reigns of Edward II. and III. and Richard II, the nave and choir of Exeter cathedral were erected ; and that at Lichfield was built uniformly; additions were made to the central tower at Lin- coln ; the nave of Worcester cathedral was built, as were the nave, choir, and western front of York minster ; also the transepts at Canterbury and Gloucester ; the spire and tower at Norwich ; the spire and additions to Salisbury cathedral ; the Cloisters were begun at Gloucester; the nave and choir were erected at Bristol, as well as the spire and choir at Chichester ; our Lady’s chapel at Ely; and the chapter- house and Cloisters (now destroyed) at Hereford. In the period between 1400 and 1460, including the reigns- of Henry IV., V., and VI., were erected the choir of Glou- cester cathedral ; the nave of that of Canterbury; Bishop Beckingtons addition to Wells cathedral; and that of Lin- coln, from the upper transept to the great east window. 111 the period between 1460 to 1547, viz., from the reign of Edward 1V. to the end of that of Henry VIII., were erected our Lady’s chapel at Gloucester; the roof of the choir of Oxford cathedral; the choir of that of Chester; Alcocke’s chapel at Ely; the Ladye chapel, Peterborough; the north porch, Hereford ; and the exterior of the choir at \Vinchester. The following particulars respecting the English Cathe- drals are extracted principally from the works of Britton and Dallawayz— PECULIARITIES. Bath—The unusual height of the Clerc-story. Bristol—Had no nave, the present choir being formed out of the Ladye chapel. Canterbury—111s grand entrance is under the south tower. The ma1ble columns of the choir with Romanesque capi- tals, and the octangular chapel called Becket’s crown. Chester—Extraordinary size of the south transept. Clzichester—Double aisles to nave, and detached campanile at its north-west angle. Durham—The chapel of our Ladye placed at the east end as a second transept ; the Galilee placed before, and distinct from the facade. Ely—A single western tower connected with the nave ;——the / CAT 118 CAT octangular tower ;-—the Ladye chapel detached from choir, and a Galilee in a perfect state. Exeter—The skreen before the west front, and towers at either end of the transept. This cathedral was completed according to the original plan. Lincoln—The arches in the west front, the work of Remi- gius; the Galilee and double transept. Lichfield—-'1‘11e three stone spires. Norwich—The roof of the nave, and the west end, with the Erpingham gateway. Peterborough—The triple arcade before the west front eighty- two feet high; the double towers with spires at the western angles; tower at the southern extremity of the north-west transept, and the Galilee. Rochester—The choir longer than the nave. Salisbury—The complete uniformity of style; the height of the central spire, and the double elliptic inverted arch under the tower, as at Wells. Winchester—The longest nave. York—T he double aisles t0 the transept; the largest win- dow; the square louvre, and the absence of cloisters. REMARKABLE PARTS. Bath—The tower has four turrets, without pinnacles, and is oblong in plan, which is owing to the narrowness of the transept; the aisles are very low, and there is no triforium in the nave, but merely a plain string-course. There is an alto-relievo of Jacob’s ladder at the west end. Bristol—Has no external flying buttresses, the walls of the nave being supported by the roofs of the aisles, which are formed of complicated open arches; the aisles and nave are of equal height, only forty-three feet. Canterbury—The crypt, which is of greater extent, and more lofty than any other in England ; the central tower and the apsidal form of the east end. Chester—The unequal dimensions of the north and south transepts, the latter being wider, and nearly as long as the nave, with aisles on each side, while the former is unusually short, and of the same width as the central tower; the aisles of the choir also extend beyond it east- ward, and form the aisles of the Ladye chapel. Chichester—Has the earliest specimen of a vaulted roof; its spire greatly resembles that of Salisbury. Durham—Pillars of nave curiously striated; the Galilee measures 50 feet by 78 feet. Exeter—Possesses almost the only example of a group in sculpture, which is in the triforia of the transept, and represents a concert of musical instruments. Ely—The octangular lantern, which is 71 feet in diameter, and 142 feet from the ground, supplied the place of a lofty central tower which fell down a short time—previous to the erection of the lantern. There exists one of the earliest specimens of the pointed arch in the tower and transept. Gloucester—The eastern termination is apsidal; and the cloisters, the most perfect and beautiful in England, un- usually situate on the north side of the church. Lincoln—Old west front; the large and beautiful south porch, and east facade; the Galilee. The central tower had a Spire higher than Salisbury, which was blown down A. D. 1547. This church is remarkable for its sculpture, and has a curious has-relief of the Deluge over the west door, and of the Last Judgment over the south porch. Lichfield—Is nearly uniform, and was completed through- out on the original plan. The east end is apsidal in plan. ZVorwz'ch—The end of the choir is octangular, and the clois- ters are very spacious. Peterborough—The grand facade and portico, remarkable for their fine proportions; the Galilee and apsidal termination, also the west transept, which is placed immediately at the west end. Rochester—The west facade is one of the most perfect speci- mens of Norman; the choir is longer than the nave. Salisbury—Is the most uniform cathedral in England, and has a lofty and beautiful spire, only seven inches thick. PVeIls—T he west front is noted as bearing a resemblance to the facades of Continental cathedrals; it is filled with statues ; the central tower is supported on an inverted arch as at Salisbury. I’Vinchester—Is remarkable for its fine nave; the choir is under the central tower. [Vorcester—The style and proportions of the nave are con- sidered beautiful. York—The aisles surrounding the whole church are of the same dimensions throughout; the rose window, which is 22 feet 6 inches in diameter, is the finest in England; the choir is under the tower, as at “'inchester. The suhjoined Tables maybe found useful ; the former, from the works of Dallaway, gives the dates of the principal por- tions of the English Cathedrals; the latter, compiled princi- pally from Britton’s Antiquities, shovs their dimensions. It will be noticed that Mr. Dallaway’s dates do not agree in every case with those above given. Dates of the Principal Portions qf the English Cathedrals. Cathedrals. Nave. Choir. Aisles. Transept. Tower. Cathedrals. Nave. Choir. l Aisles. 'l‘ransept- Tower. Bath ......... 1532 1500 15321121. 1500 1500 Lichfield ......... 1295 1295 l 1295 1295 1295 W. 1570 ch. 1532 i 1430 Cent. Bristol ...... 1332 1332 1311 S. 1463 Lincoln ......... 1200 1200 . 1200 1:100 W. 1254 Cent. 140:; N. i 1306 E. 1279 W. Canterbury ..... . 1420 1174 1174 1174 up. 1070 N. W. Norwich ........ 1171 1195 1171 113.. 1195 1006 - 1379 lwr 1400 S. W. 1160 ch. 1500 Cent. Oxford ......... 1120 1 120 1120 1199. 1‘32 Carlisle ..... . 1150 1303 11501111. 1353 1400 l’ctcrborough... 1175 1160 1175 na. 1272 W. 1363 ch. 1160 ch. Chester 1485 1485 1320 N 1508 Rochester ...... 1030 1227 10801111. 1080 Chichester ...... 1125 1217 11251121. 1217 N. 1217 W. 1927011. 1217 ch. 1320 s 1282 Cent. Salisbury ...... 1917 1230 l 1217 na. 1274 1217 Durham 1093 1233 1230 1230 W. 1230 ch. 1205 Cent. Wells .......... .. 1239 | 12:39 1239 1239 1450 w. Ely ...... . ...... 117-1 1235 1133 N. 117-1 W. 1465 Cent. 1:528 Cent. Winchester ...... 1394 i 149:1 13941111. 1070 1070 Exeter............ 1307 1318 13071111. 1280 1128 140301. 13181-11. Worcester . . . 1218 i 1L18 l 1218 12181wr 1379. Gloucester . ..... 1089 1357 108211111. 1330 S. 1457 I i 1380 up. 13101-11. 1375 N. York ............ 1201 1301 1201 113. 1227 1301 W. Hereford ......... 100.5 1115 100.3 1005 up. 1216 w. l 1301 ch. ‘ 14-20 Cent. 114s lwr l JVJw-‘rpn-Z'fjfi ‘1' 1: . . NLOCLMOT EH; '(I'LICEIPU'I #LMVIWQD ONIHSI'I‘EIHJ CLNIV' SNIJNLI‘HcI Pl ,5 2 § 2 31. E k F I -m fig 5 Ed ? F s 2 .g 5 § © H E t: w ‘% cg , a g > [ S m g i ! Zfidufi HAVN (8 i V g, _ \na‘ , I \J‘ ; .5 i O \ WM J? -¢..\ ‘ :"H’ll. . « p44 CAT 119 CAT Admeasurements of the principal parts of the most remarkable Cathedral Churches of Great Britain, given in English feet. A large portion of this Table is extracted from Britton’s Works. E t Extreme - . . Centre West 11:21:36 Breadth. Nave. Chou'. Transept. Tower. Towers West Front Cathedrals. r- a: g: 1.. - .d .c g; . - A: 3 . 3:? '5 3‘3 .c: '23 g _,_, o .5 a «'33 a 5 H: <3 5 u 85 "" ..5 +1 +2 8 a“: 5 a e 3 8-2.: a e a: a e 3 a 8,8 8, "88 a 382%:sees'Bcfii’fiagg's‘afi'agas 1 m E. m H H m m; m A mg m .—1 an n ma. m m .3 m nCanterbury ...... 545 516 170 158 188 27 73 80 132 86 76 1.33 40 75; 230 1533 93 107 1 34 79 York ..... . ......... 518 480 241 220 210 43 110 93 130 100 100 220 98 93 200 196 140 137 Bristol ............ 203 174 127 113 76 69 54 174 29 50 133 Carlisle ............ 242 210 130 116 107 72 .. 116 18 Chester ........... 375 312 112 100 120 41 84 80 84 100 44 b Chichester ......... 410 386 151 131 146 26 100 65 68 60 65 131 34 65 3005 955 Durham ......... 507 476 194 170 203 37 82 70 93 79 70 170 59 210 143 117 105 enly ............... 535 517 190 179 203 30 74 101 74 70 179 78 1707 215 142 112 Exeter ............ 408 382 155 140 96 31 72 66 123 72 66 140 30 72 153 113 100 Gloucester ......... 427 406 154 142 160 33 35 68 110 83 85 142 35 70 223 95 33 ‘1 Hereford ......... 3.50 326 174 145 125 28 70 63 76 72 60 13?} 53: 60 160 95 3.3 'Litchfield ......... 403 379 ‘177 149 143 26 66 58 145 69 57 149 45 57 252“ 20012 100' 93 ‘Lincoln ............ 505 440 242 218 176 37 78 81 118 80 75 2&8 61 74 264 209 175 132 1 5 3713 sNorwich ......... 415 384 200 180 205 28 70 75 130 72 85 180 28 72 30914 83 93 h Oxford ............ 168 156 116 102 61 22 53 45 54 52 45 102 21 45 145'5 ‘Peterborough 480 427 198 184 234 35 79 73 90 79 183 58 73 143 150 153 115 15516 "Rochester ......... 383 362 170 144 140 32 73 55 145 85 55 132 32 55 156 95 93 0 58 55‘7 'Salisbury ......... 474 450 230 206 196 32 78 81 152 78 81 226 57 81 40420 112 115 1 5 44 8119 Wells ............... 415 385 155 130 164 32 70 68 82 32 73 130 68 68 165 125 148 115 Winchester ...... 556 520 230 208 240 32 88 78 113 88 67 208 81 80 148 128 130 “Worcester ......... 425 386 145 127 174 30 78 67 90 73 61 :37 31 66 r 193 . . . ' 24 6621 use Paul’s ......... 512 462 283 228 170 39 102 90 '97 102 90 2'28 97 90 360” 210 177 138 001d St. Paul’s 690 130 102 165 42‘“ 88 248 53423 . weStmmS‘er 530 475 215 195 154 30 68 105 136 72 105 195 73 105 225 110 141 Abbey Church St. Asaph ......... 1 79 119 68 60 60 32 60 108 ... 93 Bangor ............ 214 141 60 34 53 96 32 . 60 St. David ......... 307 124 ... 76 46 80 148 127 p Llandafl' ......... 270 80 .. . 90 “Man .............. 113 2'2 . 66 r St. Patrick ...... 300 ... .. 157 22325 Dunblane ......... ‘216 . .. 76 . s 120 'Elgin............... 264 35 114 ... 1982 8427 ‘Glasgow ......... 370 339 155 30 62 90 97 62 90 22028 120” Iona ...... ......... 160 i 70 ... 75 " Kirkwall ......... 256 . . . . . . l 70 . . . . 1339'0 ‘ Has two transepts: ' East transept; 3 West I b ‘5 With spire. transept ; 3 South-west tOWer. b 5 Including spire ; 6 South-west tower. ° 7 Octagonal lantern; there is a projection or transept at the west end, forming a galilee. ‘ “ North end with aisle; there are two tran- ‘septs; 9 East transept. " ” and ‘2 With spires. f 1138 two transepts ; ‘3 East transept. Y “ With spire. sept. Many cathedrals of architecture similar to our own, are to be seen on the Continent, of the more noted of which we shall give a short description. One of the great points of' distinction between the English and foreign cathedrals, is the superior magnitude of the latter, which is evidenced more in the height than in any other dimension z—a circum- stance which will be apparent, when it is told that the west front of York Minster could be placed beneath the choir- roofs of Beauvais or Amiens cathedrals; the length of the continental buildings, however, does not bear so great a illas projection or transept at the western extremity , ‘5 tower over north -west tran- k Has two transepts ; ‘7 East transept. ' Has two transepts ; '9 East transept. '11 Has two transepts ; 2‘ East transept. 1‘ 22 Top of cress over dome. ° 93 To top of spire ; '1‘ without aisles. P Has two western towers. ‘1 No side aisles. 1' 25 With spire. I 9‘5 With spire; 7’ Without spire; length 0 ladye chapel eastward 28 feet, extending the whole Width of the cathedral. l 28 To the extremity of the spire ; 2" At north- west angle. “ 3° With spire. proportion to their breadth as in England, so that they lose that perspective efl‘ect afforded by the long vista of arcades which forms so beautiful a feature in our cathedrals. Another distinguishing characteristic in the foreign churches is afforded in the magnificence of the grand facades, of which full one moiety is occupied by the portal. In our works the entrance is of small dimensions, and is subservient to. the window above it, but in theirs it forms the principal object, being splayed from the door to the exterior surface of the wall, and the space thus formed, occupied with columns. CAT niches, statues, and other embellishments; the upper part of this splay is of course of an arched form, and the tympanum over the door-head is frequently filled with large groups of sculpture. The upper half of the facade is occupied by a circular or rose window of great magnitude. This arrange- ment is frequently carried out in the ends of the transepts. Further we have to notice the apsidal forms of the east end, the numerous chapels surrounding the choir, and the great height of the roof, which in France is in a great measure concealed by lofty parapets, but in Germany, where it is even more lofty, is left exposed. Internally, the foreign structures are remarkable for the great height of the body and aisles, and simplicity of the vaulting; for the apsidal termination with its vaulted roof, and the size of the rose windows of the nave and transepts. The body of the build- ing is frequently divided laterally into five parts, having a central nave with a double aisle on each side of it. The following cathedrals are remarkable for their— Entrance Porches—Rheims, Strasburg, and Rouen. Rose windows—Strasburg, Notre Dame, S. Ouen, Rouen, and Rheims. 120 CAT Towers and spires—Strashurg, Mechlin, Antwerp, Ulm, Cologne, Friburg, Louvain, and Vienna. The height of that of Strasburg is 550 feet; that of Louvain (now fallen) 533 feet; and that of Vienna, 465 feet. Stras- burg, Friburg, and Constance, are noted for their spires of open work or pierced tracery. The cathedrals of Freidburgh and Frankenburgh have the nave and aisles of the same height, and that of Freidburgh has the side aisles nearly as wide as the nave. St. Lorenzo, Nuremburgh, has a choir loftier than the nave, and the cathedral at Worms is celebrated for its two choirs. S. Peter’s, Rome, is the most spacious cathedral, after which follow those of Cologne and Milan, of which the former has never been completed; it was commenced in the middle of the thirteenth century, but the choir is the only portion that was finished, the nave is carried up only half its intended height. This building, if entire, would be perhaps the most magnificent cathedral in existence, but there seems but a remote probability of its completion : it is said to be adorned with 4,973 pinnacles, 576 statues, 128 windows, 160 flying buttresses, 104 pillars, and 9 entrances, while Milan boasts of 4,400 statues, and 160 columns of white marble. Admeasurements of some of the more remarkable Continental Cathedrals, given in English feet. g) Nave. Choir. Aisles. Transept. s5 . «5 2 .5 E as 5' Name of 8 . _ . ~ 5 ,3 .3 g t“ 3 E g ‘ F. "5 5‘3 *5 S 5‘ *z 7:". :‘r :1 : 7.3 a g .1: 3—5 gnu Cathedial. E .5.” '3 f}, a) g .50 .3 :0 ED '3 2: :3 E s I: :E :3 2’; g a“. 8 '5 E. a 5 9: ‘5 a 3 r. :2 S ' a 7 a ’4 it :11 v—I m E m if. A m g o ' Amiens ............ 415 220 42 132 130 42 129 18 180 42 150 210 ”Bayeux ,,,,,,,,,,,, 296 140 48 76 118 36 17 113 224 230 c Chartres _________ 376 222 46 108 1 14 46 21 195 40 103 378 l 4 Notre Dame ...... 492 244 42 157 38 221 e ‘Rheims ............ 439 38 116 22 150 93 140 93 2.53 I Rouen ............ 408 -- . . . 90 ... 1 64 . . . . . 93 53'). 2 . 8 S. Owen ......... 416 24.4 34 100 102 130 , 9.40 h Antwerp ......... 500 230 466 360 ' Cologne ............ 532 160 160 80 2.30 432 5:32 Friburg ............ 399 86 . . .. . 372 Ulm ............... 416 140 . 166 490 1‘ Florence ......... 491 132 139 294 463 . . Milan ............ 493 279 32 283 197 356 Rome—S. Peter 669 442 396 432 . . I Has two western towers. b Has two western towers, and a central one. ‘ ‘ With spire. Has double aisles round choir. .4 Has double aisles of equal dimensions, with ‘2 With spire. CATHERINE WHEEL, a large ornament in the upper compartment of the windows of Gothic structures; of a circular outline, filled interiorly with a rosette, or radiating divisions, and beautifully variegated. ' Catherine-wheel windows are supposed to have been borrowed from our continental neighbours, in the. 14th century. In foreign cathedrals, such windows are of enor- mous magnitude, and of frequent occurrence; as they are commonly met with, not only in the end walls of the trausept, as with us, but also in the western facade immediately above the entrance. There is a very fine one in the cathedral of Rheims; and in the great church of St. Oiien, at Rouen, are two; one of which, of great diameter, is called [a rose. Winchester cathedral has likewise a very large one; but it galleries over them. The south rose window is 45 feet 6 inches in diameter. 8 Has two western towers. is still exceeded by one at Cheltenham, in Gloucestershire. E Ladye chapel 62 feet long. h With spires. 1 Has double aisles continued all round the church. k Exterior dome. In St. Peter’s church, Westminster, there is one in each transept. CATIIETUS, a line falling perpendicularly upon another line or surface. CA'I‘IIETUS, in architecture, according to Vitruvius, is a right line drawn perpemlicularly from the under arris, or line of the sima-inversa at each flank of the Ionic capital, to the centre of the eye of each volute. It must, however, be remarked, that the cathetus drawn in this manner, does not apply to all ancient examples of this order. CATTLE SIIEl), or CATTLE HOUSE, in rural economy, an erection for the purpose. ofeontaining cattle while feeding, or otherwise. ‘In order to make the feeding of cattle advan- tageous, it is most important that the cattle sheds should be placed in the most'eonvenient situations with respect to the C A T 121 CAT fields from which the food is to be brought. In large farms, movable sheds with temporary yards may be erected according as different fields are in grass or roots, and a great saving of carriage thereby effected, both in the bringing the food to the cattle, and carting the dung unto the land ; a clay bottom should be selected, in a high and dry spot, if possible, and it should ever be borne in mind, that, with cattle, as with human beings, cleanliness, free ventilation, and perfect drainage are indispensable to perfect health and a sound condition of the body. Cattle sheds are most cheaply constructed when placed against walls or other buildings. If they are to be erected in an isolated situation, the expense of the double shed will be much less than that of the single one, to contain the same number of cattle. Every building of this description should be capable of being well aired, by a. free ventilation; and so constructed as to require the least possible labour in giving the food and clearing away the dung; the stalls should he so placed as to keep the cattle dry and clean, with sufficient drains to carry away, and reservoirs to receive the ordure. The greater number of the air-holes should be in the roof; and if the building have gables, there should be a window in each, as high as possible, with moveable boards, or air flights, as in granary windows, which may be easily opened or shut, by means of a small rope. These precautions will not only conduce to the health of the cattle, but tend to preserve the timbers, which, from the alternate wetting by the breath, and drying, would otherwise soon go to decay. In single sheds, the cattle are, in many parts of the country, fastened to stakes about three feet distant from each other, ranged in a line parallel to the wall, at the distance of about ‘18 or 20 inches from it, thus leaving sufficient space for laying down the food; but this plan is inconvenient, as it obliges the feeder to pass between the cattle when he feeds them, and is consequently attended with loss of time, and is sometimes dangerous. The best construction is that which admits a sufficient space for a passage before the cattle, for the feeder to pass along with a wheel-barrow, when he distributes their food. In single sheds, three feet will be sufficient for the width of this passage; and in double Sheds, the heads of the.cattle should face each other, and the breadth of the passage need not be increased beyond four feet. Where cattle are fed from the outside, through holes left for the purpose, many inconveniences may arise from wet weather, a severe frost, or a heavy fall of snow ; but when fed within, no change of weather can have any influence on their feeding; particularly if due care be taken to keep the provender dry and under cover. .In single sheds, it would be convenient to have a provender- loft above the cattle, for holding, occasionally, hay and straw; aloft of this kind might be provided with flaps in the floor- ing, furnished with hinges, which, when opened, would afford an easy access for putting in the fodder from the cart, and enable the feeder to throw it into the racks when required. In this case the roof may be supported by posts or pillars, about three or four feet high, on the top of the Wall, and eight or ten feet distant from each other; the flaps may he lifted by rings, and be made stationary in any required position, by a catch. In many places, cows and oxen are bound to stakes, with- out any stalls, or divisions between them. In some parts, cows are bound in pairs, with a slight division between them; in others, they are not bound, but every cow or 0X has a separate stall, divided from the rest by wooden rails, so that they cannot get out, and so narrow that they cannot 2 I turn round. Many feeders think the cattle thrive better in stalls of this description, than when they are bound. At each stake there should be a trough for holding provendei, and between these two troughs there should be another for water, common to the cattle on both sides ; this water-trough, which, as well as the others, may be of stone, and of one piece, may be supplied by a pipe from a cistern or reservoir; and over them should be a perpendicular rack for straw or hay. But though the double stalls, here recommended, are much used for milch cows in different parts of England, they have, in general, only one provender-trough for each cow, and none for water. In paving stalls for cattle, the declivity is in general too great, which occasions them to stand uneasy. The best mode is similar to that of paving stables. ~Wood has lately been used with advantage for paving stalls. In many places, it is the practice to fasten the heads of the cattle between two stakes; by which they can neither lie down in comfort, nor dislodge or destroy those tormenting vermin, which frequently prey upon them. No animal can thrive when confined in this manner. As the dung of cows and oxen is of a liquid nature, it may perhaps be carried off by means of an iron grating, placed behind each animal, as nearly as can be, in the spot where it usually drops, and immediately over the stall drain, or over a wooden spout, which being continued in a sufficient slope, to a. pit or reservoir without, will, with the assistance of water occa- sionallythrown down,emptyitself therein. Should any obstruc- tion occur, the aid of a rake or a hoe, fitted to the drain, may be easily applied; especially if the drain be only covered with a strong plank, which may be taken up when necessary. The greater part of the dung being thus carried away,the remainder will be easily removed. Such a contrivance would save much labour, and facilitate the keeping of cattle clean; it would also be the means of saving a great deal of litter, when scarce or dear. On this part of the subject it may be observed, that the waste of urine and dung, too often seen in even well-con- ducted farms, is much to be deprecated and lamented—every- thing of the kind is valuable, and should be conducted to proper reservoirs judiciously constructed and arranged for the purpose, to be afterwards used on the land. Where a great number of cattle are kept, the erection of sheds or feeding houses on a circular plan, proves very economical, and saves much labour, though a little more expensive in the first cost. In this form of building, the animals stand all round with their tails rtowards the external wall, leaving a sufiicient passage or gangway behind, for them to pass to and from their stalls; proper openings are also to be left in the wall, for discharging the dung, which may fall into covered pits on the outside. The openings should be so contrived, as to be capable of being shut up in severe weather. The area, or space in the middle, is con- verted to the use of feeding and attendance; and, to render the plan complete, there should be a room above, to store up the different sorts of food that the cattle may require. The oblong plan likewise admits of much room and con- venience, and is a form in which many cattle houses have been lately erected. In this kind of shed, the length of fifty or sixty feet affords room for a great number of cattle. The roof is made shelving, 14 feet in the highest part, and six or seven in the lowest. The place for the reception of the cattle is separated from that wherein the dung is to be deposited, by a wall, or other convenient division, and may be about 18 or 20 feet within, to afford good room. The stalls are tWelve feet long, and from 4 feet to 4 feet 6 inches wide ; leaving gang-ways at the heads and behind the cattle, 3 feet or 34; CAU feet in breadth. Each stall has two doors, the one for admission of the cattle, the other for the persons who attend them; and when the buildings are of great length, it may be convenient to have additional doors at each end. There should likewise 122 be a water-trough in each stall, and where a stream can be ‘ made to run through the whole range, it is productive of great advantage. The boxes, or mangers, for particular sorts of food, as well as racks for hay, are also necessary to render these buildings complete. The bottom of the stalls may be formed of strong planking, laid so as to have a very slight descent, and perforated with holes for the passage of the urine into the reservoir. There should also be openings in the wall, behind the cattle, between every two stalls, of" about two feet square, for discharging the dung, with proper shutters fitted to them. Each stall should likewise have a wooden window, of about the same size, for the admission of light and for free ventilation, placed as high as the house or shed will admit. The reservoir for the dung or urine should extend the whole length of the building. For farther particulars on this subject, 1 see Cow-HOUSE. CAUKING, or COOKING, the mode of fixing the tie-beams I of a roof, or the binding-joists of a floor, down to the wall- plates. This was formerly done by dovetailing, in the follow- ing manner :——a,small part of the depth of the beam at the end of the under side was cut in the form of a dovetail, and a corresponding notch, to receive it, was formed on the upper side of the wall—plate, across its breadth; making, of course, the wide part of the dovetail towards the exterior part of the wall, so that the beams, when laid in their notches, and the roof finished, would tend greatly to prevent the walls from separating, though strained by inward pressure, or even if having a tendency to spread through accidents or bad workmanship. But beams fixed according to this mode, having been found liable to be drawn to a certain degree out of the notches in the wall-plates, from the shrinking of the timber; a more secure mode has succeeded, which prevents all possibility of one being drawn out of the other, however unseasoned the stufi' may be, or however affected by changes of weather. See COCKING. CAULICOLES (from caulis, a stalk or stem), in the Corinthian capital, eight stalks between each two of the upper row of leaves, ramifying upwards, each into two foliated branches, and seeming to support the volutes under the abacus; each branch supporting one of the sixteen volutes, or helices, two of which are placed at each angle, and two in the middle of each face of the abacus. CAULKING, in ship-building, the operation of driv- ing a quantity of oakum, or old untwisted ropes, into the seams of the planks in the . sides or decks of a ship, to secure the interior from water. is driven very hard into the seams, it is covered with hot melted pitch, or rosin, to prevent the water from rot- ting it. CAULKING IRONS, chisels for driving the oakum into the seams ; in caulking, these chisels are some broad, some round, and others grooved. CAUSIClVAY, in the most usual sense, denotes a common hard raised way, maintained and repaired with stones and ; rubbish. It also signifies a massive construction of stone, stakes, and After the oaknm , l fascines; or an elevation of fat viscous earth, well beaten; . serving either as a road across wet marshy places, or as a mole to retain the waters of a pond, or prevent a river from overflowing low lands. CAUSTIC CURVE, in the higher geometry, a curve formed by the concourse of the rays of light reflected from some other curve. It is not of much use in building, as C E I this reflection only forms one of the known curves, which are all specified under their respective heads. CAVJEDIUM (from the Latin, cava and wdz'um), a vacant space within the body of a building; in a Roman house, it was what we now call a court. According to Vitruvius, there 3 were five kinds of cavaadia, denominated Tuscan, Corinthian, tetrastyle, displuvz'nated, and testudinated. The Tuscan cavaedium had a roof projecting from each wall, leaving an aperture in the middle; it was suspended on the walls without the intervention of any support from pillars or columns. The Corinthian ca vaedium was similar to the Tuscan, except 1 that the roof was supported by columns. The tetrastyle, as its name implies, had one column at each of the four angles of the roof, for its support. The displuvinated, being without any roof, admitted a free . access of the light to the windows of the surrounding rooms, and was therefore calculated for winter apartments. The testudinated, which was covered with a vault or con- cave ceiling, rising from the walls, was used when the span or impetus was not very great; the space above being used for various kinds of apartments. The latter, however, can hardly be deemed a court, though it comes under the general denomination of cavaedium. CAVAZION, CAVASION, or CAVATION, an excavation ' made in the ground for the foundation of a building. CAVE, a subterraneous hollow place, or the space dug out for cellarage and other purposes below the basement rooms of a house. A common allowance for this is one-sixth of the height of the building. Caves, without doubt, were among the first habitations of men, before they became acquainted with the method of rearing a covering for shelter. They were also used in the early ages as receptacles for the dead. CAVEA, in the ancient amphitheatres, properly signified the place where the wild beasts were kept; but the word was also applied to the middle part, called the arena, and frequently denoted the whole of the interior of the amphi- theatres, as well as of the theatres. CAVETTO (Italian, a diminutive of the Latin, cavus, hollow), a concave moulding or cove, the curvature of whose ‘ section does not exceed the quarter of a circle ; its projection ‘ may be equal to its altitude, and should never be less than two-thirds of it. The cavetto, which is the reverse of the ovolo, or quarter-round, is sometimes used in the bed and crowning mouldings of cornices; and forms the upper mem- ber of the architrave of some of the most beautiful Grecian Ionics. The hollow moulding used in the bases between the tori, &c., is also called a cat‘etto. CEILING (from the Latin, cwlum, the sky, or celare, to ‘ cover), the inside of the roof, or top of an apartment, opposed to the surface of the floor. Ceilings may be either flat, or covcd, or both. Coved ceilings are sometimes concave round the margin and flat in the middle, or otherwise they are vaulted. w0e VAULT. The former occupy from one-fifth to one-fourth of the height of the room. The principal sections of vaulted ceilings may be of various segments, equal to, or less than semicircles, as may be most suitable to the height of the room. Flat ceilings are adorned with large compartments, or foliages and other ornaments, or with both. Compartment ceilings are either formed by raising mould- ings on the surface, or by depressing the panels within a moulded enclosure, which may be partly raised upon, and parly recessed within the framing, or entirely recessed. The figures/of the panels may be either polygonal, circular, or elliptical. ' ‘he ceilings of the porticos, and ot‘ the interior of CEI 123 CEL ancient temples, were comparted, and the panels deeply recessed ; the prominent parts between them representing, it is said, the ancient manner of framing the beams of wood which composed the floors. The mouldings on the sides of the panels are sunk in one, two, or several degrees, like inverted steps; and the bottoms of panels are most frequently decorated with roses. The figures of these compartments are mostly equilateral and equiangular. Triangles were seldom used; but we find squares, hexagons, and octagons in great abundance. The framing around the panels, in Grecian and Roman examples, is constantly parallel, or of equal breadth ; therefore, when squares are introduced, there is no other variety; but hexagons will join in contiguity with one another, or form the interstices into lozenges, or equilateral triangles. Octagons naturally form two varieties, viz., that of its own figure, and squares in the interstices ; this kind of compartment is called cqfl'ering, and the recessed parts cqfl’ers, which are used not only in plain ceilings, but also in cylin- drical vaults. The borders of the coffering are generally terminated with belts, charged most frequently with foliage; and sometimes, again, the foliage is bordered with guilloches, as in the Tem- ple of Peace, at Rome. In the ceiling of the entire temple at Balbec, coffers are disposed around the cylindrical vault in one row, rising over each intercolumn, and between every row of coffers is a pro- iecting belt, ornamented with a guilloche, corresponding with two semi-attached columns, in the same vertical plane; one 3 Column supporting each springing of the belt. The ceilings of the ancients were commonly relieved by ‘ colour and gilding in various designs, which must have ‘ greatly added to the effect of the whole edifice; this practice ‘ such like has been adopted in the new entrance-hall of the British Museum with very great success. The moderns follow the practice of the ancients in their cupolas and cylindrical vaults, ornamenting them with coffers and belts; and the belts again with frets, guilloches, or foliages. Small panels are ornamented with roses, and large ones with foliage or historical subjects. The grounds may be gilt, and the ornaments white, partly coloured, or streaked with gold; or the ornaments may be gilt, and the grounds white, pearl, straw-colour, light-blue, or any tint that may agree best with the ornaments. _ - Some ceilings are painted, either wholly or in various com- partments only. then a ceiling is painted to represent the sky, it ought to be upon a plane or spheric surface, without being coved at the edges. Ceilings plane and coved are much employed in modern apartments; they seem to be a kind of medium between the horizontal and the various arched forms practised by the ancients: they do not require so much height as the latter; but they are neither so graceful nor yet so grand. Vaulted ceilings are more expensive than plane ones; but they are also susceptible of a greater variety of embel- lishments. When a ceiling is made on the under side of the rafters of a roof, it is said to be camp-ceilcd, or tent—ceded. 'l‘he timbers of ceilings in Gothic edifices are seldom plas- t‘mib although examples are occasionally found, as at Rochester Cathedral, of the Decorated period, which is divided by moulded ribs of wood. The timber ceilings are either flat, concave, circular, or ranging with the principal timbers of the roof; sometimes, however, we have vaulted ceilings of timber, as at “Tinchester Cathedral. “Then flat, . the ceilings are divided into panels by moulded ribs, which at their intersection are enriched with bosses, pendants, or ornaments; sometimes large panels are subdivided by mouldings of a smaller section. The concave ceilings, which present the form of a barrel vault, have most frequently only a single,rib running along the top; when others are introduced, it is but sparingly. In all cases, ceilings were enriched with gilding and colours of the most brilliant kind, examples of which are constantly being brought to light during the restoration of old churches. Plaster was very much used in the ceilings of Elizabeth’s time and the succeeding reigns, in which period the ceilings were generally flat, divided into panels by ribs, which, as well as the panels themselves, were often adorned with an exuberance of decoration moulded in the plaster, of which we have many beautiful specimens. Sofit amounts to nearly the same thing as a ceiling, except that the former is applied to the under sides of apertures and cornices, and the latter to a more extended space, as the top or side of an apartment opposite to "the floor. The under surface of an arch is also called the sofl‘it, or intrados, whether it be the head of an aperture, or extended over an apartment. Arched ceilings are described under the article VAULT. CEILING, is also understood to be the lath and plaster at the top of a room, or on the under side of common or ceiling joists. ‘ CEILING, in carpentry, the joisting, ribbing, or bracketing for supporting the lath and plaster of the upper surface, or ceiling of a room. There are various kinds of ceilings, as plane ceilings, cove ceilings, and plane and cove ceilings. Under cove ceilings may be classed several other kinds, as waggon—headed, or cylindrical ceilings, dome ceilings, groin ceilings, and spandrel ceilings. For bracketing these different figures, see the words BRACKETING and RIBBING; for the definition of arch ceiling, see VAULT. CEILING-FLOOR, the joisting and ceiling supported by the beams of the roof. CEILING-JOISTS, small beams, which are either mortised into the sides of the binding-joists with pulley-mortises, or notched upOn, and nailed up to the under sides of the said joists. This last mode takes away from the height of the room; but it is easier to execute, and is thought to be less liable to break the plaster, than when the ends of the ceiling- joists are inserted in pulley-mortises. When girders are introduced in the floor, the under sides of the girders must be furred, to correspond with the level of the under edges of the ceiling-joists. CELL, in carpentry. See SILL. CELLA, in Roman antiquity, was variously applied. It denoted, in temples, the interior or most retired place, called by the Greeks, naos; and in baths, various apartments, as the frigidaria, tepidaria, caldaria, 8:0. It was also used to denote the apartments of prostitutes, and the bed-chambers of domestics. CELLA, was likewise applied to monasteries, to denote a lesser one, subordinate to a greater; and was even applied, vice versa, to rich monasteries not dependent on any. CELLAR, in ancient writers, a conservatory for provisions, whether to eat or drink. The term comes from the Latin celarium, and is of the same import with cell/1. CELLAR, as now used, is generally applied to an apartment in which liquors are deposited. Cellars are commonly placed in the lower story of the dwelling-house, sunk beneath the surface of the ground ; sometimes they are placed under ground, and are entered from the area before the building ; they are sometimes also placed in out-houses. When they are placed within the dwelling-house, or contiguous to an out-building, they should have a north exposure. should be kept cool, and consequently remote from any place that would communicate heat, and care should be taken to Cellars .‘ l l CEL l 24 CEL preserve them of as uniform temperature as possible: for this purpose they should be constructed with double walls and double vaults,-leaving a hollow space all round. Cellars, and other places vaulted under ground, were called by the Greeks lag/paged. , CELLARAGE, the number of cellars which a dwelling- house requires, whether one or many. CELTIC, or DRUIDICAL ARCHITECTURE. A term applied to a class of structures composed of rough unhewn stones of great size, the erection of which is generally attributed to that family of mankind classed under the name of Celts, more especially to the Druids. , These erections are of various descriptions, some consist- ing of a single stone, others comprising many hundreds, their arrangement also differs very greatly, yet at the same time there is a general similarity which readily marks their rela- tion. The remains are more numerous in this country than in any other, but they are by no means confined to it, similar erections being found not only in the neighbouring islands, in France, Germany, the Netherlands, Portugal, Sweden, and Denmark, but also in Phoenicia, Palestine, India, Mala- bar, Persia and China, and even in the western continent. To account for the existence of these works in such remote regions, their construction has been attributed to the Celtze. These Celts, or Gauls, as they were termed by the Romans, are supposed to be descendants of Gomer, the son of Japhet, whose posterity were called after his name, Gomerians, a title which is identical with the Cimmerians of the Greeks, and the Cimbri of the Latins. That the Celtae were a branch of the same stock as the Cimmerians, is gene- rally allowed, and it would seem, that they followed in their migrations a south-westerly course, while the Cimmerians pursued a northern, and afterwards a westerly direction. When and where the great family separated is not so univer- sally agreed upon, some writers asserting that they divided before they took their departure from the East, others main- taining that the separation (lid not take place before they had advanced some distance into Europe. The latter class of writers, who rest mainly on the authority of Herodotus, sup- pose that the two branches of the one family travelled toge— ther until they were overtaken and harassed by the Scy- thians, when a large number, the Celtic, moved southward, and spread westward from Asia Minor to Italy, and after- wards to Spain and Britain. It is certain that the Cimme- rians were closely followed by the succeeding horde of emigrants, the Scythians, and were by them continually pressed further westwards; it is also generally allowed, that Great Britain was peopled principally by the northern hordes who passed through Denmark and Gaul. If we follow the theory of those who place the separation at the later period on this side the Sea of Azoph, we shall have to account in some other manner for the existence of Celtic remains in Syria and Phoenicia, as well as in India. This difliculty is obviated by attributing the introduction of such a mode of building into this country to the Phoenicians; but then we are left to account for the appearance ofthe same in the north. The supporters of this opinion quote the statement of Caesar, that Druidism originated in Britain, and was carried thence to Gaul; and from whom, say they, are the Britons likely to have learned it, but from the Phoenicians, with whom we know they carried on a trade in tin, and who, on account of the advan- tages obtained from that traffic, were very jealous of their knowledge of the island being extended to other nations; it is allowed, that the structures we are considering were closely alliei to Druidism. But this theory, as we said before, ‘aises the difficulty about the existence of similar works in the north. unless it be admitted indeed that the Phoenicians , and the northern tribes are of the same family, and if so, we allow its early separation, which is the fact for which the opposite party contend; the only difference being this, that in one case, we need only account for one separation: while in the other, we must necessarily suppose a second. The fact of the identity of the Phoenicians with the northern tribes of the Cimmerians does not rest solely on his- toric evidence, it is also demonstrable from other facts, such as the common origin of their languages, and the similarity of their customs and religious observances. As far as the former is concerned, there seems to be sufficient evidence to show that. the Hebrew, Phoenician, Sanscrit, Irish, and Manx languages, are derived from the same source; and as regards the latter, Dr. Borlase, in his attempt to controvert the opinion, admits that the customs and ceremonies of Asia and of Northern Europe were known and practised by the British Druids, although he maintains that the Britons had several Observances which were peculiar to themselves. It would indeed seem that Druidism appeared in a more matured and systematic form in these islands, than else- where, and this is but reasonable, for, as was before remarked, the Cimbrians were a nomadic race, and were constantly being driven forward by the Scythians ; until, as a last resource, they crossed the German ocean into Britain : here defended on all sides by the sea, they had but little to fear from their aggressors, and were precluded from making fur- ther movements westward; here therefore they permanently settled, and betook themselves to the arts of peace, and thus was their religion elaborated and reduced to a system; and as, l in the case of Numa, and the early Romans, religion estab- lished peace, so in this instance did peace establish and i extend religion. 1 From the above observations, we think, may reasonably . be drawn the following conclusions, namely, that the erection l of all structures of this kind is to be attributed to one race of people, and their appearance in such ditferent and distant l quarters to the fact of that race being migratory or nomadic. The monuments erected by the Celts may be divided and classed as follows :—Lithoi, composed severally of one, two, and three stones, to the first of which is applied the distin- guishing appellation monolithon, and to the last, that of trilithon. They have all the common name of Cromlehs. After these come the kist-vaens, or chests, composed of four stones, and lastly, circles comprising a large number of stones. Further, we have logan, or rocking-stones, tolmen stones, cheese—rings, and cairns. The most simple of these structures are the monolithoi, or single stones, of which we find a great number in various parts of the British Islands. The first mention of such stones we tind, is of that set up by Jacob after his dream, which he named Bethel; the next is that set up by Joshua under an oak by the sanctuary, as a witness unto the Israelites, lest they denied their God. Another stone is spoken of at a later period, called the stone of Abel, upon which the ark was rested; and another, which was placed by Samuel between Mizpeh and Shen as a memorial of the Divine assistance. “'e read also of the stone I‘Izel, and the great stone in Gibeon. Many such stones are seen in Palestine at the present day, but not in the places mentioned in the Old Testament. The same kind of stones are almost universal in India, few, if any, of the temples being without them; there are two also in Tyre. It is suggested, that the pillars of Hercules were of this class, and with some probability, as Arrian says, that “ Gades was built by the Phoenicians; the sacrifices and ceremonies there performed are all after the Phoenician manner ;" and Strabo adds, that there were here two pillars dedicated to Hercules Plato mentions a pillar connected in some way with the CEL 12 5 CEL Amazons, and similar lithoi were to be seen at Megara, at Cheronaea, in Thessaly, Ionia, and Mauritania, one also within the walls of Athens. Cyrus erected obelisks over the grave of Abradates, king of Susa, and over those of his Wife and officers. Further north we find such stones in Denmark, Sweden, Scotland, Ireland, and in our own country. As these stones are of necessity much alike in all cases, we need only give a description of one, to afford a general idea of the whole of them; we select that of Rudstone, in the East Riding of Yorkshire. It stands about four yards from the north-east corner of Rudstone Church, and rises above the ground twenty-four feet; if, as is stated, it mea- sures the same below ground, its total length will be forty- eight feet; its breadth is six feet, and thickness two feet; all four sides are slightly convex. The stone is of a very hard quality, and its weight is calculated at above forty tons. The uses of the monolithoi seem to have been various. That some were used as sepulcliral monuments, is allowed by all; and some allow them to have had no other use; such was the pillar set up by Jacob over Rachel’s grave, also those erected by Cyrus, as before mentioned. Some were trophies of vic- tories, as that erected by Samuel after his defeat of the Phi- listines; some were witnesses to covenants, as that set up by Jacob and Laban, and that of Joshua; whilst others are merely boundary stones. Similar in description are the curious round towers so pre- valent in Ireland. which are generally found in the locality of a Christian church. a situation which is accounted for by the supposition that the Christian missionaries were accustomed to rear their edifices near the spot where the pagan temples had stood. It is certain that these towers are very old, as they were considered ancient even in the twelfth century; they vary both in height and construction, but their general appearance is that of a circular obelisk tapering gradually towards the summit, and finishing in a conical roof. See RoUND TOWERS. These obelisks are also termed Cromlehs, a word signifying a stone of adoration ; also Bothal, which doubtless is the same as the llebrew, Bethel, both terms signifying the House of God. Under these names are also included monuments of two or three stones, the former comprising an upright pillar with a cross-piece on the top, and the latter two upright stones, with a third at the top, stretching from one to the other; the latter are named likewise trilithons. Next to the lithoi, or cromlehs, stand the kist-vaens, or monuments of four stones, consisting of three uprights, and one horizontal stone covering the whole; they are often found in, or near circles, and are frequently accompanied with barrows of various kinds. Kist-vaen is a Welsh term, and signifies stone-chest, but the term quoit is frequently applied to the same structures, more especially in Cornwall, and there is one near Cloyne, in Ireland, named Carig-Croith, which is interpreted Sun’s House. Such monuments are found in abundance, and in every quarter of the globe; we select one as a specimen, Kit’s Coty House, Kent. This monument stands near to the village of Aylesford, and is thus described by Stowe:-—“ It consists of four flat stones, one of them standing upright, between two others, inclosing the edges of the first, and the fourth laid flat upon the other three, and is of such height that men may stand on either side the middle stone in time of storm or tempest, safe from Wind and rain, being defended with the breadth of the stones, having one at their backs, one on either side, and the fourth over their heads.” “About a coit’s cast from this monument, lieth another great stone, a great part thereof in the-ground, as fallen down where the same had been afiixcd.” lliis description answers very well to its appearance at the 2 K -__._‘ , ,._, _ .__,__.. _, present day, with the exception that the separate stone last mentioned, is now entirely buried in the ground. The dimensions are given as follows in Grose’s Antiquities :—— “ Upright stone on the north or north-west side, eight feet high, eight feet broad, two feet thick; estimated weight, eight tons and a half. Upright stone on the south or south-east side, eight feet high, seven and a half feet broad, two feet thick; estimated weight, eight tons. Upright stone between these, very irregular; medium dimensions, five feet high, five feet broad, fourteen inches thick; estimated weight about two tons. Upper stone very irregular; eleven feet long, eight feet broad, two feet thick; estimated weight about ten tons seven hundred-weight.” Monuments of the same description are to be seen in Palestine, the following account of some of which is given by Captains Irby and Maiigles:—“ On the banks of the Jordan, at the foot of the mountain, we observed some very singular, interesting, and certainly very ancient tombs, com- posed of great rough stones, resembling what is called Kit’s Coty House, in Kent. They are built of two long side- stones, with one at each end, and a small door in front, mostly facing the north; this door was of stone. All were of rough stones, apparently not hewn, but found in flat frag- ments, many of which are seen about the spot in huge flakes. Over the whole was laid an immense flat piece, projecting both at the sides and ends. What rendered these tombs more remarkable was, that the interior was not long enough for a body, being only five feet. This is occasioned by both the front and back stones being considerably within the ends of the side ones. There are about twenty-seven of these tombs, very irregularly situated.” This description would answer very well for our own erections of the kind, were it not for the second stone and doorway, no traces of which are to be found in these islands. Sir Richard Colt Hoare gives two representations of similar stones in Malabar, but he does not accompany them with any description. Numerous monuments of this kind are to be found through- out the British Isles, but they occur most frequently in Corn- wall and Wales, also in the Isle of Anglesea, the last resort of the Druids, and in Ireland. What the use of these caves were is not agreed upon, some claiming them as sacrificial altars, others as tombs, and others again as simply sacred constructions answering to the ark or sacred chest of the Jews. The former position is maintained by King, who, after referring to the account given by the Romans of the human sacrifices of the Druids, con- tends for the peculiar applicability of such erections to that purpose; but his opinions do not seem to be borne out by facts. As a decisive argument in the matter, he cites an instance of a structure of the kind existing in the county of Louth, Ireland, which is called the killing-stone; but if this hold good as a proof, 3. similar one may be advanced for the second class of opinions, in the case of the Trevethy Stone in Cornwall, the word Trevedi signifying, in the British language, it is said, the Place of Graves; and besides this, Kit’s Coty House is transferred into Catigern’s house of coits, the term coit being translated large flat stone. This place is so named, it is averred, from the fact of Catigern being buried there, after the battle with Hengist and Horsa, which occurred at Aylesford, and in which he was slain. We have now arrived at the largest and most interesting class of monuments, the Druidical circles ; they consist of one or more circles of upright stones placed at short intervals from each other ; the circles are usually concentric, but we have not unfrequently two smaller circles placed side by side within a larger one, and the whole surrounded with a circular ditch and vallum. The stones composing the cir- CEL 126 CEL cles are not always single, but sometimes consist of trilithons sometimes of kist-vaens. Such erections are found in various localities, although more frequently in this country than else- where. Mention is made of them in the Sacred writings in more than one instance: Moses is said to have erected an altar, and twelve pillars, according to the twelve tribes of Israel, ere he ascended the mount to receive the law; he also gives directions to the Israelites at a later period, that upon crossing Jordan they should set up in mount Ebal great stones, and plaster them with plaster, and especially orders that they should be whole stones, and unwrought; we accordingly find Joshua setting up twelve stones in the midst of Jordan, and taking twelve further forward, and pitching them in Gilgal, as a memorial of the passage of the Jordan ;-—it is worthy of remark, that the word Gilgal signi- fies a wheel or circle, and doubtless the place was so named from the circle of stones there set up. Such circles are found likewise in Sweden, Norway, Denmark, and Iceland, in which last place they are termed Doom circles; they are spoken of by Clarke as existing in the Troad, and Sir \Villiam Ouseley gives views and description of one to be seen in Persia; but what is most remarkable, there exist three in America, one upon a high rock on the bank of the river Winnipigon. Such structures were unquestionably temples in which the Druidical services were performed, and not only so, but they seem to have been the prototype of all heathen temples, for we gather from authentic sources, that the most ancient heathen faues were all open to the sky without roof of any kind. It is argued by some, that they were used merely for civil purposes, or that some of them at least were exclusively so employed; that they were all so employed we do not for a moment doubt, but we contend that they were all likewise employed for sacred purposes, indeed, the govern- ment of the people was so implicit with their religion, that the Druids were at one and the same time both priests and rulers. The circles are supposed by some to have been closely con- nected with astrology, and indeed the agreement of the number and arrangement of the stones with the divisions of the ancient cycles is remarkable, as will be seen by referring to the tables of Dr. Stukeley, which are given in the following page. The most remarkable of the circular erections in Great Britain are those of Stonehenge and Abury, both of which are situate in the neighbourhood of Salisbury Plain. The former, about seven miles north of Salisbury, is approached by a broad avenue protected on either side by a vallum, or long mound of earth; this avenue leads into a large circular platform three hundred feet in diameter, enclosed from the surrounding plain by means of a vallum fifteen feet in height, with a ditch on either side of it, and, as some sup- pose, by an inner circle of stones, some few having been found in immediate proximity to the outer circle. In the avenue, at a distance of about a hundred feet from the cir- cular ditch, is a large stone inclining towards you as you approach, and a similar one in the ditch at the entrance. Passing onwards in a straight direction you approach a large number of stones composing the temple, more especially so termed, which consists of an outer circle of stones four- teen feet in height, seventeen of which still remain, six scattered in various parts of the circle, but eleven on the north-east side, at equal distances from each other, forming a continuous Segment of a circle, thus demonstrating the form and position of the whole. This circle consisted originally of thirty stones, surmounted by a continuous impost of large flat stones, which were fitted on to the uprights by mortise and tenon, and formed a complete and regular circle. Within this enclosure is another of a similar figure, and eighty-three feet in diameter, composed of the same number of stones, which however are of smaller dimensions and without imposts. Within this again were five separate structures, termed trilithons, each consisting of two large stones surmounted with an impost, and having three smaller stones a short distance in advance. These structures were situate, one immediately opposite the avenue, and two on each side of it, leaving an unoccupied space for an entrance. The larger upright stones were more lofty than any of the others, one of them measuring upwards of twenty-one and a half feet in height; thus overtopping all the outer circles. In front of the central trilithon, is placed, by Stukeley, a low flat stone, supposed to be the altar. The avenue noticed at the commencement of this description is continued in a north- easterly direction for a distance of about a third of a mile, where it separates into two branches, the one leading south- ward between two rows of barrows, the other in the opposite direction for more than a mile and a half to a spot called the cursus, which is a flat tract of land, bounded on each side by banks and ditches, and at its extremities by barrows or tumuli. The erection at Abury, although of more rude construc- tion than Stonehenge, is of more stupendous dimensions; few of the stones remain at the present day, great numbers having been employed in the erection of the neighbouring town, yet we have accounts of many which existed at a pre- vious period, with the aid of which, and of his own experi- enced judgment, Dr. Stukeley made out a plan of the original structure entire. It consisted of a large circular enclosure of more than twenty-eight acres, surrounded with a great vallum and ditch, the inner slope of the former measuring eighty feet, its circumference at the apex being four thousand four hundred and forty-two feet. On the inner side of the ditch, and close upon its bank, was a circle thirteen hundred feet in diameter, composed of one hundred immense stones of an average height of seventeen feet, and placed at a. dis- tance of about twenty-seven feet from each other. Within this outer circle were two smaller ones, situate side by side- on a diameter running from north-west to south-east, of the more northerly of which some stones of great size are still standing. These circles consist of two concentric rows of stone, within which, in the southern circle, was a central obelisk, towards which, it is said, the worshippers used to turn during the celebration of the rites, and in the same position, on the northern circle, a structure termed a cove, consisting of three large stones placed towards each other at an obtuse angle. The distance of the centres of the north and south circles is given at five hundred and eighteen feet, and the distances of their circumferences at eighty-six feet, thus determining the length of the diameters, four hundred and thirty-two feet. These admeasurements, however, must be received with some reserve, as the remains were so scanty at the time they were taken, as to leave the exact position of the circles or their centres a matter of great uncertainty. Of this structure, which it is calculated could originally boast in all of more than six hundred stones, but few portions remain, the rest having been employed either in the erection of the town of the same name, which stands within its boundaries, or in constructing and repairing its roads. From two entrances on the southern side of the exterior circle, extend two avenues, each formed by a double line ofi upright stones, and of more than a mile in length. One of them running in a south-easterly direction, the breadth of t which averages fifty feet, led to an elliptical piece of ground on the top of a hill called the Hackpen, enclosed within two U... _,_. _.__-.__._. ___. x. CEL 127 CEL hundred upright stones, and surroundedon all sides with barrows. The south-western avenue, conSIStmg of about two hundred stones. is nearly a mile and a half in length, and terminates 111 a single stone. It has to be remarked, that both these avenues run in a curved direction, and are. hence by some supposed to represent a serpent, thus connecting the religion of the Druids with the early and prevalent supersti- tion of serpent-worship; the western avenue answers to the tail of the reptile; the large circle to the body; whlle the head is represented by the Hackpen, aword which, 1n some lan- guages, signifies serpent. The Circles of this portion of the structure are concentric, the outer one containing forty stones, having a diameter of one hundred and fifty feet, and the inner, which is comprised of eighteen stones, a diameter of fbl‘ty-eigllt feet. Between the two avenues just mentioned, are three mounds, or hills, one of which, situate at the extreme south, and nearly midway between the extremities of the avenues, is remark- able as being the largest artificial mound in Europe; it IS named Silbury Hill. The base of this mound covers a space of five acres and thirty-four perches, and its circumference is two thousand and twenty-seven feet; the perpendicular height is one hundred and seventy feet, the length of the slope three hundred and sixteen feet, and the diameter of the platform, at its apex, one hundred and twenty feet. Besides this and other erections connected with Abury, are a variety of Druidical remains scattered in all directions for some distance round the great circle. The number of stones employed at Abury and Sonehenge, with their distribution, as given by Dr. Stukeley :— ABURY. STONEHENGE. Stones. Stones. The great circle contains ...... 100 The great-circle uprights ...... 30 North temple, outer circle 30 The great-circle imposts 30 North temple, inner circle 12 Inner circle ..................... 40 South temple, outer circle 30 Trilithon uprights ............... 10 South temple, inner circle 12 Trilithon imposts .......... 5 The cove and altar ............... 4 Inmost stones .................. 19 Obelisk and altar ............... 2 Altar .............................. 1 The eastern avenue ............ 200 Stones within the vallum ...... 2 The western avenue ............ 200 Large table stone ............... 1 Ilackpen, outer circle ......... 40 Distant pillar ................... .. 1 llackpen, inner circle ......... 18 Stone at entrance ............... 1 Long stone-cove jambs ........ l The Ring stone .................. 1 Closing stone of tail ............ 1 Total ............ 652 Total ............ 140 Mr. Toland gives the following account of a remarkable structure of this kind. “In the isle of Lewis,” he says, “at the village of Classerniss, there is one of these temples very remarkable. The circle consists of twelve obelisks, about seven feet high each, and distant from each other six feet. In the centre stands a stone thirteen feet high, in the perfect shape of the rudder of a ship. Directly south from the circle, there stand four obelisks running out in a line; as also another such line due east, and a third to the west, the number and distances of the stones being in these wings the same; so that this temple, the most entire that can be, is at the same time both round and winged. But to the north, there reach, by way of avenue, two straight ranges of obelisks, of the same bigness and distances with those of the circle; yet the ranges themselves are eight feet distant, and each consisting of nineteen stones, the thirty-ninth being the entrance to the avenue.” Dr. Borlase mentions three cir- cles of stone in the parish of St. Clare, Cornwall, called the Hurlers, which are separate and distinct from each other, but whose centres are in one straight line. Amongst some few of the more important circles besides those already mentioned, may be classed that of Stanton Drew, consisting originally of three circles, of the larger of which five stones remain, and of the smaller, a larger numo her; the stones are much inferior in point of size to those already described. Rollrich is another circle of stones near Chipping Norton, Oxfordshire, the highest of which is not more than five feet above the ground ; they are irregular, and of unequal height. Another is found near Penrith, Cumber- land, which consists of seventy-seven stones, each ten feet in height, and before them, at the entrance, stands a single one by itself, fifteen feet high. Similar structures are found in other parts of England, Scotland, and the Isles, but none of them approaching in size those of Abury or Stonehenge. There exists at Carnac, in Brittany, a monument, which in size approaches nearer to Abury than any other such work, but which, in its form and general character, is perfectly unique; it is of ruder formation than either Abury or Stone- henge, “ and consists of eleven rows of unwrought pieces of rock or stone, merely set up on end in the earth, without any pieces crossing them at top. These stones are of great thickness, but not eXceeding nine or twelve feet in height; there may be some few fifteen feet. The rows are placed from fifteen to eighteen paces from each other, extending in length -—taking rather a semi-circular direction—above half a mile, on unequal ground, and towards one end upon a hilly site. When the length of these rows is considered, there must have been nearly three hundred stones in each, and there are eleven rows; this will give some idea of the immensity of the work, and the labour such a construction required. It is said that there are above four thousand stones still remain- ing.” This account is taken from Mrs. Stoddart’s Tour in Normandy and Brittany; but a French writer gives the size of some of the stones at twenty-one and twenty-two feet, and he especially alludes to one specimen, which was twenty- two feet high, twelve broad, and six deep; its weight is given at two hundred and fifty-seven thousand pounds. Logan stones, or rocking-stones, as they are less technically termed, are stones, often of an immense size, poised on others, or on natural rocks, in such a peculiar manner, as to move with the slightest touch. They seem to have been erected at vari- ous times and places. They were known to the Greeks, and called by them N00: spybvxot, or live stones, also named Petrae Ambrosiae, from the ceremony they underwent of being anointed with oil. Pliny takes notice of one erected by Lycippus, at Tarentum, and also of one at Cyzicum, which is said to have been left by the Argonauts; but the most celebrated was the Gygonean stone, near the Pillars of Hercules, of which Ptolemy Hephaestion relates, that it stands near the ocean, and may be moved with the stalk of an asphodel, but cannot be removed by any force. Pliny like- wise says of one at Harpava, in Asia, that it is of so strange and wonderful :1 nature, that if even a finger is laid on it, it will move, but if you thrust it with your whole body, it will not move at all. These stones are very common in Britain ; there are several in Cornwall and Yorkshire, as also in Scotland, where they are called Claca Breath, or stones of judgment; it is known that there existed formerly several in the island of Iona, which have since been destroyed. In some cases the stone rests on two points, in others on one; it is said that the junction was formed in one instance in Scotland, where the stone had been removed, by a protuberant knob in the upper stone fitting into a socket. A stone of this nature is that near Penzance, Cornwall, named Men-amber; it is eleven feet in length, four feet in depth, and six in width. Its equilibrium was destroyed by Cromwell’s soldiers by breaking otlY a portion. Another CED 128 CEM logan stone situate at Land’s End, is said to weigh seventy tons, it stands on one of a stupendous group of granite rocks which rise to a prodigious altitude, and overhang the sea; it was thrown down by a ship’s crew, but the good sense of the inhabitants obliged them to replace it. Borlase was the first to notice a structure of a somewhat different character to the last, called Tolmen, or, Hole of Stone, consisting of a large stone supported at two points by others, leaving a space between them, through which it is supposed devotees passed for religious purposes. Of a similar opening at the extremity of Malabar Hill, in the island of Bombay, a writer says—“ This place is used by the Gentoos as a purification for their sins, which they say is effected by their going in at the opening below, and emerging out of the cavity above.” We find stones of this kind in Cornwall and in Ireland, the most noted is that in the parish of Constantine, Cornwall, which is thus described by Dr. Borlase :—“ It is one vast egg-like stone, placed on the points of two natural rocks, so that a man may creep under the great one, and between its supporters, through a passage about three feet wide, and as much high. The longest diameter of this stone is thirty—three feet, the depth thirteen feet, and the breadth eighteen feet six inches. I measured one half of the circumference, and found it, according to my computation, forty-eight feet and a half, so that this stone is ninety—seven feet in circumference, about sixty feet across the middle, and by the best informa- tion I can get, contains at least seven hundred and fifty tons of stone. Getting up a ladder to View the top of it, we found the whole surface worked like an imperfect or mutilated honey-comb, into basons; one much larger than the rest was at the south end, about seven feet long; another at the north, about five; the rest smaller, seldom more than one foot, often not so much: the sides and shape irregular. Most of these basons discharge into the two principal ones (which lie in the middle of the surface) those only excepted which are near the brim of the stone, and they have little lips or channels which discharge the water they collect over the sides of the Tolmcn ; and the flat rocks which lie under- neath, receive the droppings in basons cut into their surfaces. This stone is no less wonderful for its position than for its size, for although the under part is nearly semicircular, yet it rests on the two large rocks, and so slight and detached does it stand, that it touches the two under stones, but as it were on their points. Wring-cheeses, so named from their resemblance in form to an ancient cheese-press, consist of large masses of stone placed one upon the other for several tiers, the whole resting on a base ofmuch smaller dimensions than the superincumbent mass. By some it is contended that they are merely the productions of nature, but it seems more reasonable to sup- pose, that at least some art has been employed in their formation. They are by some termed rock-idols, under the supposition that they were worshipped as gods. One such monument, situate in the parish of St. Clare, Cornwall, Dr. Borlase thus describes :-—“ The rock now called Wring-cheese, is a group of rocks that attracts the admiration of all travellers. On the top stone of this, were two regular basons; part of one of which has been broken off. The upper stone was, as I am informed, a logan or rocking-stone, and might, when it was entire, be easily moved with a pole, but now great part of that weight which kept it on poise, is taken away. The whole heap of stone is thirty-two feet high, the great weight of the upper part and the slenderness of the under part make every one wonder how such an ill-grounded pile could resist, for so many ages, he storms of such an exposed situation.” Mr. I-Iayman Rooke mentions one situate on Brimham Craggs, Yorkshire, the circumference of which is forty-six feet, and the pedestal on which it rests, only one foot by two feet seven inches. Cairns are conical heaps of loose stones frequently found on the top of hills or artificial tumuli; the term is derived by Mr. Roland from two Hebrew words, signifying coped heaps. On these are supposed to have been kindled fires, at which certain religious ceremonies took place, such as that mentioned as being observed by the Israelites in making their children pass through the fire, in imitation of their heathen neighbours; thus connecting the customs of the British Druids with those of Asia and Phoenicia. From these Druidical practices may have arisen perchanee the ordeal by fire of later times. At New Grange, near Drogheda, Ireland, is a curious sepulchral pyramid of stone, formed of pebble stones, the weight of the solid contents of which amounted to no less than one hundred and eighty-nine thousand tons. The plan of this monument is curvilinear, and covers about two acres of ground, and is surrounded by a number of large unhewn stones, rising about seven feet above the ground; the height of the pyramid is calculated at seventy feet. A great number of stones, removed for paving and other purposes, led to the discovery of a passage leading into an interior vaulted apartment. This passage began about forty feet within the body of the work, and is entirely composed of large flag stones ; its length is sixty-one feet, the width three feet, and the height varies from two to nine feet. This passage leads into an octangular vaulted apartment, whose diameter is seventeen feet, and its height twenty ; the vault or dome is remarkable as being composed of overlapping horizontal stones, the upper ones projecting inwardly beyond the lower, sustained in their position by having a larger portion of each stone upon the one beneath it, than projects towards the interior ; this construction is exactly similar to that of the Tomb of Agamemnon, or treasury of Atreus at Mycene. The side of this irregular octagon immediately opposite the entrance, is formed into a niche, as are also two sides at the right and left, similar to the erections called kist-vaens, the last two containing each a rock-bason. This building is, we believe, the only one of its kind existing in Britain. We have not included the barrows or tumuli in the list of monuments to be considered, simply because they can scarcely be considered to have any great connection with Architecture, but as they are closely allied to the structures we have been considering, we ought not to pass them by without notice. They are mere mounds of earth, of various shapes, raised, as is supposed, over the graves of memof rank, and are found in great numbers in the neighbourhood of the larger monuments: some of them are of oblong shape, raised like coped tombs, some triangular, some circular and oval, of which again some are convex, some concave. Some are of the shape of bowls, and some of bells, while others are of a conical form; occasionally two are formed together, and are called twin-barrows, but more frequently they are seen separate. Many of them have been opened, and are found to contain not only human remains, but also spear heads and other implements of war, besides articles of domestic use, such as earthen vessels and the like. Their contents deter- mine as well their use, as the date of their formation. CEMENT, the word cement may be defined as any glutinous or other substance, capable of uniting bodies in close cohesion, or making them adhere firmly together, so as to form of the whole one solid mass—as mortar, glue, solder, asphaltum, 8w. Cements are of various kinds, but, for conve- vience, may be divided into NATURAL and ARTIFICIAL. CEM 129 CEM Natural cements are found in Russia, France, and other countries, and indeed the Substance so extensively used in England, and very improperly termed Roman cement, is nothing more than a natural cement, resulting from a slight calcination of a calcareous mineral, containing about 31 per cent of ochreous clay, and a few hundredths of carbonate of magnesia and manganese. It may be observed, that when the proportion of clay in calcareous minerals exceeds 27 to 30 per cent, it is seldom converted into lime by calcination, but they then furnish a kind of natural cement, which can be used by pulverizing it, and kneading it With water. There are some natural cements which do not set in water for many days, but these are now rarely used ; those which solidify quickly, being generally preferred. The adhesrve power of some cements in the open air, is very remarkable; and we have ourselves seen 33 bricks stuck to one another by Roman cement, and projecting at right angles from the side of a wall. The argillaceous limestones, and the artificial mixtures of pure lime and clay, in the proportions requisite to con- stitute hydraulic lime by the ordinary calcination, become natural or artificial cements, when they have been subjected merely to a simple incandescence, kept up for some minutes. Calcareous cements may be classed according to the three following divisions, namely, simple calcareous cements, water cements, maltha, and mastics. ‘ lst, Simple calcareous cements include those kinds of mortar which are employed in land-building, and consist of lime, sand, and fresh water. Calcnreous earths are converted into quick-lime by burn- ing, which being wetted with water falls into an impalpable powder, with great extrication of heat: and if in this state it is beat with sand and water, the mass will concrete and become a stony substance, which will be more or less perfect according to its treatment, or to the quality and quantities of ingredients. When carbonated lime has been thoroughly burned, it is deprived of its water, and all, or nearly all, of its carbonic acid. Much of the water, during the process of calcination, being carried off in the form of steam. Lime-stone loses about 3 of its weight by burning, and when fully burned, falls freely, and will produce something more than double the quantity of powder, or slacked lime, in measure, that the burnt lime-stone consisted of. Quick-lime, by being exposed to the air, absorbs carbonic acid with greater or less rapidity, as its texture is less or more hard; and this, by continued exposure, becomes unfit for the composition of mortar; hence it is that quick-lime made of chalk, cannot be kept for the same length of time between the burning and slacking, as that made from stone. Marble, chalk, and limestone, with respect to their use in cements, may be divided into two kinds—simple lime-stone, or pure carbonate of lime, and argillo-ferruginous lime, which contains from 711, to Tl? of clay, and oxide of iron, previous to calcination: there are no external marks by which these can be distinguished from each other, but whatever may have been the colour in the crude state, the former, when calcined, becomes white, and the latter more or less of an ochrey tinge. The white kinds are more abundant, and when made into mortar will admit of a greater portion of sand than the brown, consequently are more generally employed in the composition of mortar; but the brown lime is by far the best for all kinds of cement. If white, brown, and shell lime, recently slacked, be separately beat up with a little water Into a stiff paste, it will be found that the white lime, whether 2:. made from chalk, lime-stone, or marble, will not acquire any degree of hardness; the brown lime will become considerably indurated; and the shell lime will be concreted into a firm cement, which, though it will fall to pieces in water, is well qualified for interior finishings, where it can be kept dry. It was the opinion of the ancients, and is still received among our modern builders, that the hardest lime-stone fur— nishes the best lime for mortar; but the experiments of Dr. Higgins and Mr. Smeaton have proved this to be a mis- take, and that the softest chalk lime, if thoroughly burned, is equally durable with the hardest stone lime, or even marble: but though stone and chalk lime are equally good under this condition, there is a very important practical difference between them ; as the chalk lime absorbs carbonic acid with much greater avidity; and if it be only partially calcined, will, on the application of water, fall into a coarse powder, which stone lime will not do. For making mortar, the lime should be immediately used from the kiln; and in slacking it, no more water should be allowed than what is just sufficient: and for this purpose Dr. Higgins recommends lime—water. The sand made use of should be perfectly clean; if there is any mixture of clay or mud, it should be divested of either, or both, by washing it in running water. Mr. Smeaton has fully shown by experiments, that mortar, though of the best quality, when mixed with a small proportion of unburnt clay, never acquires that hardness, which, without this addi- tion, it speedily would have attained. If sea-sand be used, it requires to be well washed with fresh water, to dissolve the salt with which it is mixed, otherwise the cement into which it enters, never becomes thoroughly dry and hard. The sharper and coarser the sand is, the stronger is the mortar; also a less proportion of lime is necessary. It is therefore more profitable to use the largest proportion of sand, as this ingredient is the cheapest in the composition. The best proportion of lime and sand in the composition of mortar is yet a desideratum. It may be affirmed, in general, that no more lime is required to a given quantity of sand, than what is just suflicient to surround the particles, or to use the least lime, so as to preserve the necessary degree of plasticity. Mortar in which sand predominates, requires less water in preparing, and therefore sets sooner: it is harder, and less liable to crack in drying; for this reason, that lime shrinks greatly in dry- ing, while sand retains its original magnitude. We are informed by Vitruvius, lib. ii. chap. v., that the Roman builders allowed three parts of pit sand, or two of river or sea. sand, to one of lime; but Pliny, Hist. A’at. lib. xxxvi., prescribes four parts of coarse sharp pit sand, and only one of lime. The general proportion given by our London builders, is 1%- cwt., or thirty-seven bushels of lime, and 271,- loads of sand; but if proper care were taken in the burning of the lime, the quality of the sand, and in temper- ing the materials, a much greater quantity of'sand might be admitted. Mr. Smeaton observes, that there is scarcely any mortar but which, if the lime be well burned, and the composition well beaten in the making, will require two measures of sand to one of unslacked lime; and it is singular, that the more the mortar is wrought or beat, a greater proportion L of sand may be admitted. He found that by good beating, the same quantity of lime would take in one measure of : terras, and three of clean sand, which seems to be the greatest useful proportion. Dr. Higgins found that a certain proportion of coarse and fine sand improved the composition of mortar; the best proportion of ingredients, according to experiments mad-3 E i l I l l l x GEM 130 CEM by him, is as follows, by measure: Lime, newly slacked, one part; fine sand, three parts; coarse sand, four parts. He also found that an addition of onevfourth part of the quantity of lime, of burnt bone-ashes, improved the mortar, by giving it tenacity, and rendering it less liable to crack in drying. The mortar should be made under ground, then covered up, and kept there for a considerable length of time, the longer the better; and when it is to be used, it should be beat up afresh. This makes it set sooner, renders it less liable to crack, and harder when dry. The stony consistence which it acquires in drying, is owing to the absorption of carbonic acid, and a combination of part of the water with the lime: and hence it is that lime that has been long kept after burning is unfit for the purpose of mortar, for in the course of keeping, so much carbonic acid has been imbibed as to have little better effect, in a composition of sand and water, than chalk or lime-stone reduced to a powder from the crude state, would have in place of it. Grout is a cement, containing a larger proportion of water than is employed in common mortar, so as to make it suffi- ciently fluid to penetrate the narrow irregular interstices of rough stone walls. Grout should be made of mortar that has been long kept and thoroughly beat, as it will then concrete in the space of a day: whereas, if this precaution be neglected, it will be a long time before it sets, and may even refuse setting for ever. See GROUT. Mortar made of pure lime, sand, and water, may be employed in the linings of reservoirs and aqueducts, pro- vided it have sufficient time to dry; but if the water be put in while it is wet, it will fall to pieces in a short time; and, consequently, if the circumstances of the building be such as render it impracticable to keep out the water, it should not be used: there are, however, certain ingredients put into common mortar, by which it is made to set imme- diately under water, or if the quick-lime contain in itself a. certain portion of burnt clay, it will possess this property. From the friable and crumbling nature of our mortar, a notion has been entertained by many persons, that the ancients possessed a process in its fabrication, which has been lost at the present day; but the experiments of Mr. Smeaton, Dr. Higgins, and others, have shown this notion to be un- founded, and that nothing more is wanting than that the chalk, lime-stone, or marble, be well burned, and thoroughly slacked immediately, and to mix it up with a certain propor- tion of clean large-grain sharp sand, and as small a quantity of water as will be sufficient for working it; to keep it a considerable time from the external air, and to beat it over again before it is used: the cement thus made will be suffi- ciently hard. The practice of our modern builders, is to spare their labour, and to increase the quantity of materials they pro- duce, without any regard to its goodness: the badness of our modern mortar is to be attributed both to the faulty nature of the materials, and to the slovenly and hasty methods of using it. This is remarkably instanced in London, where the lime employed is chalk lime, indifl‘erently burnt, con- veyed from Essex or Kent, a distance of ten or twenty miles, then kept many days without any precaution to pre- vent the access of external air. Now, in the course of this time it has absorbed so much carbonic acid as nearly to lose its cementing properties, and though chalk lime is equally good with the hardest lime-stone, when thoroughly burned, yet, by this treatment, when it is slacked, it falls into a thin powder, and the core or unburned lumps are ground down, and mixed up in the mortar, and not rejected, as it ought to be. The sand is equally defective, consisting of small globular grains, containing a large proportion of clay, which prevents it from drying, and attaining the necessary degree of hard- ness. These materials being compounded in the most hasty manner, and beat up with water in this imperfect state, can- not fail of producing a crumbling and bad mortar; and to complete the miserable composition, screened rubbish, and the scraping of roads, are thrown in, as substitutes for pure sand. How very different was the practice of the Romans ! The lime which they employed was perfectly burnt, the sand sharp, clean, and large-grained: when these ingredients were mixed in due proportion, with a small quantity of water, the mass was put into a wooden mortar, and beaten with a. heavy wooden or iron pestle, till the composition adhered to the mortar; being thus far prepared, they kept it till it was at least three years old. The heating of mortar is of the utmost consequence to its durability, and it would appear that the effect produced by it, is owing to something more than a mere mechanical mixture. See MORTAR. \Vater cements are such as are impervious to water: they are generally made of common mortar, or of pure lime and water, with the addition of some other ingredient to give it the property of hardening under water. For this purpose there are several kinds of ingredients, as puzzolana, cellular basalt, or wakke, compact basalt, coal- ashes, coal-Cinders, wood-ashes, pumice-stone, brick-dust= powder of quick-lime, forge-scales, roasted iron-ore, 8m. The cement employed by Mr. Smeaton, in the construction of the Eddystone lighthouse, was composed of equal parts. by measure, of slacked Aberthaw lime and puzzolana; this proportion was thought advisable, as the building was exposec to the utmost violence of the sea: but for other aquatic works, as locks, basins, canals, 810., a composition made 0 lime, puzzolana, sand, and water, in the following proportion viz., two bushels of slacked Aberthaw lime, one bushel o puzzolana, and three of clean sand, has been found ver: etfectual. It is well known, that sand and lime, mixed toge' ther with care, will incorporate and form a mortar imper vious to water, and sufficient even for the linings of cistern and reservoirs; but then the mortar must be hardened befor‘ it is exposed to the water, or otherwise it will crumble t. pieces ; and therefore, if the situation be such as to requir the mortar to be dried in a. certain time, the use of thi cement must be abandoned. Among the ancient nations, the Romans appear to hav been the only people who practised building in water to an great extent, particularlyin the sea. The discovery of puzzolan is attributed to the following circumstance, among this grez people. The Bay of Baiae, like our fashionable watering places, was the summer resort of all the wealthy in Rome the inhabitants of this place did not content themselves wit erecting their houses as near the shore as possible, but the even constructed moles and small islands, on which the erected their summer-houses in the more sheltered parts‘ the bay. By the fortunate discovery of an earthy substanc at the neighbouring town of Puteoli, they were enabled build both expeditiously and securely in water. From th circumstance, the earth thus discovered was called pale“ Putcolanus, “ powder of Puteoli,” “ Puteolean powder,” c as it is now denominated, puzzolana, which is a mineral a light porous, friable nature, and of a red colour, suppos~ to be formed by concretion of the volcanic ashes of Vesuvii near to which mountain the town of Puteoli is situated. T" original material seems to be a ferruginous clay, whit: baked and calcined by the force of volcanic fire, and mix; with common mortar, not only enables it to acquire a reman. CEM able hardness in the air, but to become as firm as stone under water. The only preparation which puzzolana undergoes, Is that of pounding and sifting, by .WllICll it IS reduced to a coarse powder; in this state it is beaten up With hme, either with or without sand, which forms a mass of remark- able tenacity, that sets under water with great celerity, and at last acquires a strength and hardness equal to those of ' free-stone. ‘ _ Among the nations of modern Europe, none have practised the art of building under water to so great an extent as the Dutch, to whom we are indebted for the discovery of another valuable material, admirably adapted for aquatic works: this substance is called terms, or truss, and is nothing more than wakke, or cellular basalt. It is procured chiefly from Bockenheim, Frankfort on the Maine, and Andernach, whence it is transported down the Rhine, in large quantities, to Holland, and is prepared by grinding and sifting, so as to reduce it to the consistence of coarse sand; when it is mixed, in the following manner, with blue argillaceous lime from the banks of the Scheldt. They take such a quantity of quick-lime as may be judged sufficient for a. week, and spread it in a kind of bason, in a stratum about a foot thick, and sprinkle it with water; this is covered with a stratum of terras, of about the same thickness, and thus left for two or three days; it is then beaten into a mixture, and left for two days longer; after which such portions as are wanted for daily Consumption are taken from the mass, and beaten up again previous to being used—This is the celebrated terras mortar, with which the mounds and other aquatic works, used, as a defence for protecting the low lands of Holland, against the incursions of the sea, are consolidated. The proportion of the ingredients for teams mortar, as used in Britain in the construction of our water-works, is the same as practised by the Dutch, viz., one measure of quick-lime and two of slacked, in the dry powder, mixed with one measure of terras, and well beaten together to the consistence of a paste, using as little water as possible. Another kind, almost equally good, and considerably cheaper, is composed of two measures of slacked lime, one of terras, and three of coarse sand; but this composition requires more labour in beating than the foregoing, and pro- duces three measures and a half of excellent mortar. When the building is composed of rough stones, which leave irre- gular interstices and large cavities, the joints may be filled with pebble mortar, which is thus composed: Take two mea— sures of slacked argillaceous lime, half a measure of terras, or puzzolana, one of coarse sand, one of fine sand, and 'four of small pebbles screened and washed, and mix them toge- ther. Pebble mortar was a favourite cement among the Romans, and has been used, ever since their time, in those works wherein a large quantity of mortar is required. Terras mortar will only acquire its proper hardness under water; for if permitted to dry by exposure to the air, it never arrives at the same degree of hardness as if the same lime had been mixed with good clean common sand, and is very friable and crumbling; but when kept aways wet, it throws out a substance something like the concretion in lime-stone caverns, called stalactite, which substance acquires a considerable hardness, and in time becomes so exuberant us to deform the face of the walls. .Although the Dutch terras has hitherto been prepared With cellular basalt, it appears, from the experiments of Morveau, that the common compact basalt, if previously calcined, will answer nearly the same purpose. Compact basalt abounds in all the districts where coal is raised, and may therefore be procured easily, and calcined with the refuse coal. 131 CEM In some parts of the Low Countries, coal-ashes are sub- stituted for terras with very good effect, of which the valu- able cendre'e de Tournay is a striking instance. The deep blue argillo-ferruginous lime-stone of the Scheldt is burnt in kilns, with a slaty kind of pit—coal found in the neigh- bourhood. When the calcination of the lime is completed, the pieces are taken out, and a considerable quantity of dust and small fragments remain at the bottom of the kiln. This refuse, consisting of coal-ash, mixed with about one-fourth of lime—dust, is called the cendrée, and is thus made into mortar with lime: Put a bushel of the materials into any suitable vessel, and sprinkle it with as much water as is sufficient to slack the lime; then take another bushel, and treat it in the same manner; and so on, till the vessel is filled. In this state it remains some weeks, and may be kept for a much longer time, if covered with moist earth. A strong open trough, containing about two cubic feet, is filled about two-thirds with cement in the above state, and by means of a heavy iron pestle, suspended at the end of an elastic pole, is well beaten for about half an hour; at the end of this time it becomes of the consistence of soft mortar, and is then laid in the shade from three to six days, according to the dryness of the air. When sufficiently dry, it is beaten again for half an hour, as before; and the oftener it is beaten, the better will be the cement; three or four hours, however, are sufficient to reduce it to the consistence of a uniform smooth paste. After this period it becomes too stifl“, on account of the evaporation of its water, as no more of this fluid is allowed to enter the composition than what was at first employed to slack the lime. The cement, thus prepared, is found in a few minutes to unite so firmly, upon brick or stone, that still water may be let in immediately upon the work, without any inconvenience; and by keeping it dry for twenty-four hours, it has nothing farther to fear from the most rapid current. A composition of a similar nature, is the blue mortar, commonly used in London, for setting the coping of buildings. and other works much exposed to the weather. It is made with coal Cinders and lime, but is seldom prepared with the requisite attention. Ash-mortar is used in some parts of England, and is prepared by slacking two bushels of fresh meagre lime, and mixing it with three bushels of wood ashes ; this mass is to lie till it is cold, and then to be well beaten ; in this state it is kept for a considerable time without injury, and even with advantage, provided it be thoroughly beaten twice or thrice over before it is used. This cement is superior to terras mortar, in situations alternately exposed to wet and dry; but under water, terras mortar has the advantage. The scales which are detached by the hammering of red- hot iron, have been long known as an excellent material in water-works. Mr. Smeaton appears to have been the first person who tried the relative strength of mortar made of the oxide of iron, and several other compositions. The scales being pulverized and sifted, and incorporated with lime, are found to produce a cement equally powerful with puzzolana mortar, when employed in the same quantity. Mr. Smeaton having been successful in his experiments on these materials, was induced to try others of a similar nature. Having substituted roasted iron ore for the scales, he found that this also gave to mortar the property of hardening under water, though it required to be used in greater proportions than either puzzolana or terras. Two bushels of argillaceous lime, two of iron ore, and one of sand, being carefully mixed, produce 3.22 cubic feet cement, fully equal to terras mortar. If the common white lime be employed, it would be advisable to use equal quantities of all the three ingredients CEM I32 CEM With respect to the water used in the preparation of aquatic cements, that of rivers or ponds, where it can be procured, is to be preferred to spring water: but for works exposed to the action of the sea, it is usually more convenient, and equally advantageous in other respects, to use salt water. The Loriot-mortar is a composition which at one time had obtained considerable celebrity in France, and was employed in many large works. It was invented, about seventy years ago, by M. Loriot, who imagined that he had discovered the process used by the Romans. The principle of the invention consisted in adding to any quantity of mortar, made in the usual way with lime and sand, but prepared rather thinner than usual, a certain portion of quick-lime in powder. The lime-powder being well incorporated with the mortar, the mass heated, and in a few minutes acquired a consistence equal to the best plaster-of—Paris; at the end of two days it became as dry as an ordinary cement at the end of several months; and when the ingredients were well proportioned, it set without any cracking. The quantity of powder varied from 7} to g. of the other materials, according to the quality of the lime: too much, burning and drying up the mass ; and with too little, its peculiar advantages being lost. The pro- portions are essential, but can only be determined by actual experiment. Loriot’s process was at one time, as we have observed, very much in vogue, but has now fallen into disuse. Founded on the false conception that the induration of mortars was the mere result of a more or less rapid desiccation, and presuming it to be possible to obtain this end by the intro- duction of a powerful absorbent, it met with the usual fate of error, and sunk into disrepute. Mr. Smeaton says of this composition—“I have made trial of this method, both in small and in large; for however little likelihood of advantage a proposition may contain, yet, When this concerns a physical process, nothing can be safely concluded but from actual trial; and I must candidly own that the effect was much better than I had expected; for I found the composition not only set more readily than mortar as commonly made up, but much less liable to crack, and consequently, if this cement was made use of in water-build- ing, it was less apt to re-dissolve, because it would more speedily get set to a firmer consistence, and so as more ably to resist the water from entering its pores; but when the water was brought upon it, in whatever state of hardness it was at the time, it at best remained in that state without any further induration, while the water remained upon it ; and, as I expect, would so remain, till it had some opportunity of acquiring hardness by further drying.” Indeed, for the purpose of quick concretion, various materials are recommended to be added, such as brick and tile powder, and forge scales. The following is an approved receipt: one measure of bricks, finely pounded; two mea- sures of fine river-sand; old slacked lime in sufficient quan- tity to make a mortar in the usual manner, and sulliciently liquid to quench the lime powder, which is added to the same quantity as that of the pulverized bricks. It is somewhat extraordinary, that a process similar to the composition of the Loriot-mortar is described in A Treatise on Building in Water, by George Semple, printed in Dublin, 1776. In discoursing on the good qualities of the roach- lime of Ireland, Mr. Semple remarks, that “it has some useful qualities, not much known among the generality of workmen. As for instance, our lime-stone will make exceeding good terras for water-works, for which purpose you are to prepare it thus : get your roach-lime brought to you hot from the kiln, and immediately pound, or grind it with a wooden maul, on a smooth large stone, on a dry J boarded floor, till you make it as fine as flour; then, without loss of time, sift it through a coarse hair or wire sieve, and to the quantity of a hod of your setting mortar (which on this account should be poorer than ordinary) put in two or three shovelfuls of this fine flour of the roach-lime, and let two men, for expedition’s sake, beat them together, with such beaters as the plasterers make use of, and then use it immediately. This, I can assure you, will not only stand as well, but is really preferable to any terras.” The memoir of M. Loriot was published in 1774, only two years previous to this treatise of Semple, who appears to have been a man rather of practice and experience than of reading ; and, besides, in the book quoted from, he expressly, though incidentally, mentions his ignorance of the French language. We are justified, therefore, in stating that the knowledge of the advantages of mixing quick-lime powder in mortar, was not confined to M. Loriot, though it might have been an original invention in him, and that he was the first who. drew the public attention to the process, and used it in any; considerable works. We have now to notice the valuable Treatise of M. Vicat,; the celebrated French engineer, on the Composition of Mor- tars and Cements. This scientific and elaborate work has been made extensively known in this country, by the able manner in which it has been translated by Captain J. T. Smith, of the Madras Engineers. The labours of this gen- tleman have given increased value to M. Vicat’s work, and the numerous notes, tables, and other information, added tc the original work by Captain Smith, will be found most use- ful to the professional man, and well worth his careful and attentive study. In this place we shall briefly describe the mode pursuet by M. Vicat in the manufacture of the Artificial Hgdraulzl Limes, he so strongly recommends. \Ve shall have occasior to return to his work hereafter, when on the subject 0 CONCRETE. The practice of M. Vicat seems to have been principal]: directed to the adoption of the hydraulic limes, in preferenc: to the more energetic cements so generally used in this country but his investigations have been conducted on so compre hensive a scale, that the processes laid down by him for th manufacture of artificial hydraulic compounds are capable 0 application to almost every requirement of the Architect 0 Engineer, or to almost every situation. The opinion so decidedly expressed by M. Vicat, that th superior adhesion of the hydraulic limes, must inevitabl. lead’ to their general adoption in this country, in preferenc to our (so—called) Roman cements, has been much combate by practical men. It may be said, without entering into a dis cussion of the question, that it appears to be one on whic a contrariety of opinion may be occasioned by a ditl‘erence ( situation and circumstances. Thus, in comparing the merit of the two systems, it is important to consider, that, in one the means of minute mechanical division are an essentiz element, in the other that it is unnecessary; and that thi element, which in one situation may be obtained at a chea rate, in another may be expensive and unattainable. The hydraulic limes, therefore, which do not require to 1: ground previous to use, are at all events most suitable fc those situations where the facilities of mechanical agency car not be resorted to, while the ground cements are bette adapted to the vicinity of a large capital, where it is of littl ‘ importance that the builder becomes dependent upon other for his supply. The difl‘erence, in fact, consists in this, that the groun cements, of whatever kind, will ever be furnished by mam facturers, whereas the hydraulic limes may at all times t CEM prepared by the common workman, without machinery, and at a cost not much exceeding that of common lime. . ' The description given by M. Vicat of the mode in which the artificial hydraulic limes are prepared IS as follows :— “ The artificial hydraulic limes are prepared by two methods: the most perfect, but also the most expensxve,cons1sts in mixing with rich lime slacked in any way, a certain prepor- tion of clay, and calcining the mixture; this IS termed arti- ficial lime twice kilned.” . ‘ “ By the second process, we substitute for the lime any very soft calcareous substance (such, for instance, as chalk), which it is easy to bruise and reduce to a paste With water. In this way a great saving is effected, but at the same time is procured an artificial lime of good quality, though not equal to that derived from the first process, 1n consquence of the rather less perfect amalgamation of the mixture. . “ We see that by being able to regulate the proportions, we can also give to the factitious lime whatever degree of energy we please, and cause it. at pleasure to equal or surpass the natural hydraulic limes.” . “ We usually take twenty parts of dry clay to eighty parts of very rich lime, or to one hundred and forty of carbonate of lime. This refers to the lime in the unslacked condition, or to the uncalcined mineral. If the lime be slacked, the proportion should be increased to 110 parts. But if the lime or its carbonate should already be at all mixed with clay in the natural state, then fifteen parts of clay will be sufficient. Moreover, it is proper to determine the proportions for every locality.” “The mixture here described,” adds Captain Smith in a note, “is such as to produce the hydraulic limes, whose properties are similar to the Aberthaw, the analysis of which shows it to correspond nearly with the proportions here recommended, as it consists of 86.2 of carbonate of lime to 11.2 clay, (with 2.6 water and carbonaceous matter), being at the rate of 18.2 parts clay, to 140 of the carbonate of lime. The cements now in use in England, are much quicker setting than these, and differ in being unslacked. They con- tain a greater proportion of clay, but may be manufactured artificially with equal ease, by combining such relative quantities of chalk, or lime, and clay, as will suit the purpose intended. Parker’s Patent Cement, as analyzed by Sir Humphrey Davy, contains 45 per cent of clay to 55 carbonate of lime ; the Yorkshire cement, 34 clay to 62 carbonate of lime; the Sheppey, 32 clay to 66 carbonate of lime; and the Harwich, which is a quicker-setting cement, 47 clay to 49 carbonate of lime.” It seems to be evident from the experiments of M. Vicat, that the manufacture of artificial cements may be almost infinitely varied by the admixture of different ingredients. The character, quality, and propor- tions of these must be the result of actual practice and experiment, for so different may be the chemical properties of apparently similar materials, that no results, however successful in one locality, can be trusted to with certainty in another. It is only necessary to add, that in all cases, particular attention should be paid to the perfect amalgama- tion of the materials; and the degree of calcination best suited to it should be carefully observed, before attempting the manufacture on a large scale. The process made use of at a. manufactory of artificial lime at Meudon, near Paris, is thus described by M. Vicat—“ The materials made use of are the chalk of the country, and the clay of Vaurigard, which is previously broken up into lumps of the size of one’s fist. A millstone set up edgeways, and a strong wheel with spokes and felloes, firmly attached to a set of barrows and rakes, are set in motion by a two-horse gm, in a circular basin of about two metres (six feet and a 2 M 133 GEM half English) radius. In the middle of the basin is a pillar of masonry, on which turns the vertical arbor to which the whole system is fixed: into this basin, to which water is conveyed by means of a cock, they throw successively four measures of chalk, and one measure of clay. After an hour and a half working, they obtain about 1.50 metres cube (nearly 53 cubic feet English), of a thin pulp, which they draw off by means of a conduit pierced horizontally on a level with the bottom of the basin. The fluid descends by its own weight; first into one excavation, then into a second, then a third, and so on to a fourth or fifth. These excavations communicate with one another at top; when the first is full, the fresh liquid, as it arrives. as well as the supernatant fluid, flow over into the second excavation ; from the Second into the third, and so on to the last, the clear Water from which drains off into a cesspool. Other excavations, cut in steps like the preceding, serve to receive the fresh products of the work, whilst the material in the first series acquires the consistency necessary for moulding. The smaller the depth of the pans in relation to their superficies, the sooner is the above-mentioned consistency obtained. “ The mass is now subdivided into solids of a regular form, by means of a mould. This operation is executed with rapidity. A moulder, working by the piece, makes on an average five thousand prisms a day, which will measure about six cubic metres (211.8 cubic feet English). These prisms are arranged on drying shelves, where in a short time they acquire the degree of desiccation and hardness proper for calcination.” These artificial limes are intended to supply the place of the natural ones in those countries where argillaceous lime~ stone cannot be obtained. The price at which they were sold in Paris a few years back, was about £2. 55. per cubic yard English. .Malt/za, and mastic, are cements, whose hardness depends on the oily or mucilaginous substances that enter into their composition. The use of these is at present very limited in Europe; but they were highly esteemed by the ancients, especially for stucco. The maltlza of the Greeks seems to have been more simple than that employed by the Roman architects; at least we are informed, that Panmmas, the brother of Phidias, lined the inside of the temple of Minerva, at Elis, with stucco, in which the usual ingredients of sand and lime were mixed up with milk, instead of water, some saffron being added, to give it a yellow tinge. The Roman maltha, according to Pliny, was prepared as follows: Take fresh-burnt lime, and slack it with wine, then beat it up very well in a mortar, with hogs’ lard and figs: this cement, if well made, is excessively tenacious, and in a short time becomes harder than stone; the surface to which it is to be applied is to be previously oiled, in order to make it adhere. Another kind almost equally strong, and considerably cheaper, was prepared by beating up together fine slacked lime, pul- verized iron scales, and bullocks' blood. In the preparation of maltIza, as well as of every other kind of mortar, so much depends on the manipulation, and on the care and long beating of the ingredients, that those countries in which labour is of the least value,vpossess, in general, the best mortar. Hence, no doubt, principally arises the unrivaled excellence of the mortar made by the Tunisians, and other inhabitants of the northern coast of Africa. Dr. Shaw gives the following account of their manner of preparing their mortar: One measure of sand, two of wood-ashes, and three of lime, being previously sifted, are mixed together, and sprinkled with a little water; after the mass has been beaten some time, a little oil is added : the beating is carried on for three or four days successively, and, as the evaporation in 4 we.“ C E M 134 CEM that hot climate is considerable, the cement is kept in a proper degree of softness by the alternate addition of small quantities of water and oil. The cement, being completed, is applied in the usual manner, and speedily acquires a stony hardness. The term malt/ta is also applied to a variety of bitumen or mineral pitch of a viscid and tenacious character; unctuous to the touch, and exhaling a bituminous odour. This sub- stance, as also Asphalte, (see ASPHALTE ), has been success- fully used as a cement. The celebrated chunam, of India, is a species of maltlza which has been used in that country from time immemorial. The method in which it is prepared at Madras is as follows :— Take fifteen bushels of pit-sand, and fifteen bushels of stone-lime; slack the latter with water, and when it has fallen to powder, mix the two ingredients together, and let them remain for three days untouched. Dissolve 20 lbs. of molasses in water, and boil a peek of gramm, (a kind of pea), and a peek of mirabolans to a jelly; mix the three liquors, and incorporate part of the mixture very accurately with the lime and sand, so as to make a very fluid cement; some short tow is then to be beaten well into it, and it will be fit for use. The bricks are to be bedded in as thin a layer as possible of this mortar; and when the workmen leave off, though but for an hour, the part where they recommence working is to be well moistened with some of the above liquor before the appli- cation of fresh mortar. When this composition is used for stucco, the whites of four eggs, and four ounces of butter- milk, are to be mixed up with every half bushel of cement, and the composition is to be immediately applied. Mastic is an external composition possessing peculiar pro- perties, which, in some cases, render it superior to Roman cement, having the power of resisting heat and adhering to iron, copper, and even glass, with equal tenacity. It is generally applied to the exteriors of mansions, but it may also be very beneficially used for laying the floors of halls, kitchens, &c. Mastic was first introduced from France by Hamlin, but is now sold only by Messrs. Francis and White, at Nine Elms. It is composed of pounded stone, silver sand, litharge, and red lead, and, when manufactured, has the appearance of very fine sand. The manner of working Mastic is entirely different from that of Roman cement. To one cwt. of Mastic add one gallon of linseed—oil, and let them be well incorporated by the labourer, which must be effected by treading them together with the feet until the amalgamation is complete, which may be easily ascertained by smoothing a portion of the mixture with the shovel: should any bright spots be observable, the treadng must be again and again repeated until they completely disappear, when it is considered fit for use. The manner in which Mastic is used is as follows :—The joints of the brickwork being well cleaned out, the work must be correctly plumbed up by means of flat-headed nails, and screeds, for the guidance of the floating-rule, formed with Roman cement, and kept about one inch in breadth. This being done, the bricks must be well saturated with boiled lin- seed-oil of the best quality, and the Mastic laid 011 with the hands, assisted occasionally by the laying-trowel, until the space between the screeds be covered to the thickness required. The floating-rule is then passed carefully over the work; and when the space between the screeds is suffi- ciently filled up, it must be floated with a hand-float, com- posed of sycamore or beech, until it assumes the same appearance as highly-polished stone. Thus a space of large dimensions must be' followed up until the whole is completed, \\ hen the screeds must be cut out, their places filled with Mastic, and compactly hand-floated into the rest of the work. Within the last few years various compositions have been invented for the covering of the exteriors of buildings, such as Roman Cement, Terra Cotta, Bailey’s Composition, and a host of others, all more or less patronized by the public. It would be impossible for us to give descriptions of all these compositions; but we shall shortly explain the mode of preparing and using the Roman cement. This cement, familiarly known among plasterers as Compo, was first intro- duced to public notice by Messrs. Parker and Wyatt, who took out a patent for it, and who succeeded in obtaining for it an extensive sale. It is prepared from the kind of stone called clay-balls, or septaria, by being, after the manner of manufacturing plaster, first broken into pieces of a convenient size, slowlyU calcined in kilns or ovens, and afterwards ground to a fine powder, and put into proper casks, great care being taken to preserve it from damp. Two parts of this composition, with three parts of clean grit—sand, will form a very durable substitute for stone. In selecting the sand, great care must be taken to procure it free from clay or mud, and of a sharp and bind- ing quality, or it must be washed until perfectly clean. This composition, when it is intended to compo, as it is termed, the exterior of a building, is thus used :— After the walls have been well soaked with water, the cement must be prepared by the hawke-boy on a stiff board made for the purpose, adding as much water as brings it to the consistency of paste, but no more must be mixed than can be used in ten minutes. It must be laid on with the greatest possible expedition, in one coat of three-quarters of an inch in thickness, and after being well-adjusted with the floating-rule, the hand-float must be incessantly used to bring it to a firm and solid surface before it sets, which it does in about fifteen minutes. The work should then be drawn and jointed to imitate well-bonded masonry, and afterwards coloured with a wash composed of five ounces of copperas to every gallon of water —a sufficient quantity of fresh lime and cement—and to the whole adding the colours necessary to imitate any particular stone that may be required. Terra Cotta, or artificial stone, is an excellent and durable composition, advantageously used at the present day for all kinds of exterior decoration. It is a compound of pipe—clay, stone-bottles, glass, and flint, well pounded together, and sifted through a fine sieve, a small portion of silver-sand afterwards added. Bailey’s Composition is also a valuable invention, which has been used with great advantage in various situations, without being at all injured by winter. The exteriors of many of the public buildings in the metropolis are covered with this composition, amongst which is the Colosseum in the Regent‘s Park. It is simply a mixture of lime and sand, the strength of the lime being preserved by the peculiar manner in which it is prepared In its manufacture, chalk should never be used; it ought always to be made from lime-stone, or car- bonate of lime. The lime, being taken before being slacked and ground to powder, must be placed 1n iron- -bound casks to prevent the admission of air or damp. “'hen used, it must be mixed with one-third its quantity of sharp river-sand, the manner of working it being the same as that of Roman i cement. See MORTAR, GROUT, STUCCO, and CONCRETE. ‘ CEME ',1‘ERY a sacred place, set apart for the burial of the dead. The term is of Greek de1ivation, signitying “a l place of rest or sleep,” and was applied by the early Christians ‘ to common places of interment. ‘ The subject of burial in towns has of late occupied so prominent a place in public estimation, that the description l l l CEM 135 CEM of a few of the great receptacles for the dead lately established in or near the metropolis, cannot be out of place m a work of this kind; the more especially, that the professional talent of the architect has, not unfrequently, been called into action, to furnish designs for the buildings connected with public cemeteries, if not for the ornamental gardens, smce it has become the fashion of the day to make these “Cities of the dead.” From the verv earliest ages the disposal of the bodies of the dead has been a necessary, and with many nations, a sacred duty. Among some we find that a superstitious veneration for those who had “passed away;” the necessity of funeral rites to secure the future happiness of the deceased ; and the crime attached to the violation of the tomb, formed a part both of their civil and religious code. The practice of burying the dead in the earth is probably the oldest, as it is the simplest mode of disposing of them; but the custom of burning the body, and afterwards collecting the ashes, and depositing them in a tomb, or urn, became very general amongst the Greeks and Romans. The Egyptians do not seem to have ever adopted this practice; and even amongst the ancient Greeks and Romans, it seems likely that inter- ment in the earth was mostly resorted to by the lower orders. At the present day, all European nations deposit their dead in the earth, and the ceremony of burning is extinct. The establishment of public cemeteries is now becoming general in the neighbourhood of large cities; a practice pro- bably suggested to us by the customs of the Orientals, with whom the burial-places of their departed friends are objects of peculiar care, and who cultivate, with extreme affection and solicitude, the flowers and trees with which it is their 1 delight to adorn them. “Among the first objects that present themselves to a stranger entering Turkey,” remarks a recent writer, “are the groves of cypress extending in dark masses along the shores. These are the last resting-places of the Turks ; and their sad and solemn shade, far more gloomy than any which Christian usage has adopted, informs the traveller that he is now among a grave and serious people. The situation of cemeteries is of great importance, both with regard to the public health, and from considerations of convenience. Among the Greeks we find that they were usually without the cities. Among the Romans the tombs were generally placed by the sides of the public roads. The early Christians followed the custom of the Romans, but they afterwards transferred their burial-places to the vicinity of the churches, and within towns. This insalubrious practice, it is to be hoped, will soon entirely cease, and the health of the living be no longer endangered by the too close proximity of the graves of the dead. Cemeteries should be placed on high ground, and to the north of habitations, so that southerly winds should not blow over the houses, charged with the putrid exhalations; 10W wet places should be avoided, and care should be taken that bodies be not interred near wells, or rivers, from which people are supplied with water. It may not be uninteresting here to state that extra-mural, or suburban cemeteries, formed part of the plan of the cele- brated Sir Christopher Wren, for the rebuilding of London after the great fire, “ I would wish,” says he, “that all burials in churches might be disallowed, which is not only unwhole- some, but the pavements can never be kept even, nor the pews upright ; and if the church-yard be close about the church, this is also inconvenient, because the ground being continually raised by the graves, occasions in time a descent by steps into the church, which renders it damp, and the walls green, as appears evidently in all old churches.” He then proceeds to recommend, that a piece of ground, being purchased in the fields, should then be “ enclosed with a strong brick wall, and having a walk round, and two cross walks, decently planted with yew-trees. The four quarters to serve four parishes, where the dead need not be disturbed at the pleasure of the sexton. “In these places beautiful monuments may be erected; but yet the dimensions should be regulated by an architect, and not left to the fancy of every mason; for thus the rich with large marble tombs would shoulder out the poor: when a pyramid, a good bust, or statue on a proper pedestal, will take up little room in the quarters, and be properer than figures lying on marble beds ; the walls will contain escutcheons and memorials for the dead, and the real good air and walks for the living.” Though the cemeteries which have been formed are pro- nounced to be only improvements on the places of burial in this country, and far below what it would yet be practicable to accomplish ; they have indisputably been viewed with public satisfaction, and have created desires of further advances by the erection of national cemeteries. Abroad the national cemeteries have obtained the deepest hold on the affections of the population. They have been established near to all the large towns in the United States. To some of them a horticultural garden is attached ; the garden-walks being connected with the places of interment, which, though decorated, are kept apart. These cemeteries are places of public resort, and are there observed, as in other countries, to have a powerful effect in soothing the grief of those who have departed friends, and in refining the feelings of all. At Constantinople, the place of promenade for Europeans is the cemetery at Pera, which is planted with cypress, and has a delightful position on the side of a hill overlooking the Golden Horn. The greatest public cemetery attached to that capital is at Scutari, which forms a beautiful grove. In Russia, almost every town of importance has its burial-place, at a distance from the town, laid out by the architect of the government. It is always well planted with trees, and is frequently ornamented with sculpture. Nearly every Ger- man town has its cemetery, planted and ornamented. In Turkey, Russia, and Germany, the poorer classes have the advantages of interment in the national cemeteries. One of the most celebrated cemeteries in Europe is that of Pére 1a Chaise, but in this, as in all the cemeteries of Paris, it has been a subject of complaint, that the graves of the poor are neglected and little cared for, amidst the splendid monuments and sculptured ornaments which mark the tombs of the higher classes. The first attempt at a metropolitan cemetery, in imitation of that of Pere la Chaise, was made by the General Cemetery Company, who, in the year 1833, opened to the public their new and extensive burial-ground at Kensall Green. This cemetery occupies above fifty acres of ground, which is taste- fully laid out with flowers and plants; well-gravelled walks lead to various parts of the ground; and yews, evergreens, and shrubs, deemed appropriate to a place of sepulture, orna- ment and diversify the landscape. On the road-side, the cemetery is bounded by a high wall, afi'ording protection and seclusion ; on the other side, towards the canal, an open iron palisading permits an uninterrupted view of the country, which here presents a prospect both extensive and beautiful. At the entrance there is a handsome gateway, from whicha cen- tral walk leads to the church in the consecrated portion of the cemetery. In this building are solemnized the funeral rites according to the Church of England. In front of the church a large circle is appropriated to many of the more splendid CEM 136 CEN tombs and mausoleums, and beneath it are extensive cata- combs. In the unconsecrated part of the cemetery, set apart for the burial of Dissenters of every denomination, a neat chapel has been erected for the performance of service according to their several forms of worship. The principal feature of this chapel is a rather handsome Doric colonnade, and near it also are catacombs. The establishment of the cemetery at Kensall Green was immediately followed by that of several others in the suburbs of London; one of the most picturesque of these is Highgate Cemetery, situated on the rising slope of the hill behind Highgate Church. Here, the natural beauty of the ground has been tastefully made use of, and the result produced is pleasing, if viewed as a pleasure-garden, though certainly con- veying but little of that solemnity of thought and feeling we are accustomed to associate with a burial-place for the dead. The southern entrance, in Swain’s Lane, is in a style com- pounded of Gothic of all periods, exhibiting more of tawdry decoration than the sobriety which should have characterized it. The Egyptian style has been selected for the catacombs, which are approached through an arched avenue, with an entrance flanked by two obelisks. This passage, in the upper part of the grounds, is lined on each side by a range of sepulchral chambers, and leads into another avenue, forming a circular walk between similar chambers, each of which has its Egyptian doorway. These sepulchres, amounting alto- gether to forty-six, besides eighteen others in the first men- tioned avenue, form as many sides of two polygons, an outer and inner one. Midway is an ascent, first by a single flight of steps, and then by others on each side, leading to a terrace overlooking the catacombs, from which they present a striking appearance ; the summit of the inner polygon being covered with earth, and having a large cedar in the centre. The back wall of this terrace is in a semi-Gothic style, crowned by a fancy open-work parapet, placed before another terrace, under the south end of the Gothic Church, erected a few years ago by Mr. Vulliamy. The prospect from this terrace is exceedingly beautiful. Norwood Cemetery occupies about forty acres, on the north-west side of a hill to the east of St. Luke’s, Norwood. The entrance is an open arch, which, with the lodge adjoining it, are in much better taste than that of Highgate, although, had there been a gateway, the design would have been greatly improved. There are two chapels—one for members of the Church of England, the other for Dissenters —- though varying somewhat in design, there is great similarity in their style, which is a sober, but correct Gothic. The principal objection is the injudicious position of these two buildings, which, from being too near together, neither form distinct architectural pictures, nor group so as to form one design. The architect is Mr. W. Tite. Abney Park Cemetery contains about thirty acres, and displays evidence of a simple and pure taste, in its buildings and general arrangement. The entrance, if wanting in architectural composition, has something bold and effective in its general appearance. The four piers are lofty and well- proportioned masses, constructed of Portland stone, upon granite plinths, and are surmounted by handsome coved cap- pings, in the Egyptian style. The lodges are in the same style, and extend the frontage to 118 feet, 40 of which are occupied by the piers and gates in the centre. The effect of this entrance is greatly enhanced by the park-like aspect of the grounds, and the fine old trees with which they are adorned. Nearly in a line with the entrance is the chapel, in the early pointed style, with lancet windows. The architect is Mr. W. Hosking. The South London Cemetery comprises fifty acres of (it y well-drained land, in one of the most beautiful spots within the vicinity of the metropolis. It is situate at Nunhead, between Peckham Rye and New Cross. The grounds are most tastefully laid out—there are handsome lodges, a resi- dence for the superintendant, episcopal and dissenters’ chapels, and extensive catacombs. The architectural ar- rangements were superintended by Mr. Bunnings. The West of London Cemetery, situate at Earl’s Court, consists of about forty acres. The buildings, 8m. in the Italian-Doric style, are of a similar character to those pre- viously described, and the grounds are laid out in the pleasure—garden manner, so popular with those who have the management and designing of Cemeteries. It would be well, were a few hints taken from the solemn, beautiful burial-places of the Orientals, in laying out such establish- ments in this country. CENOTAPH (from the Greek, Kal'ormplov) an honorary monument erected to the memory of the dead, when the funeral rites have been performed in some other place. CENTAUR, in heathen mythology, a fabulous monster, with the head and breast of a man, and the body of a horse. CENTERING, the act of making a centre, or the centre itself. See CENTRE. CENTERING TO TRIMMERS, the centre made to support a brick arch suspended between the wooden trimmer and the wall, for supporting the hearth or slab. CENTRE, or CENTER, (Greek, KEVTPOV, a point, or punc- ture,) in a general sense, denotes a point equally remote from the extremes of a line, figure, or body; or the middle of a line, or plane, by which a figure or body is divided into, two equal parts ; or the middle point, so dividing a line, plane, or solid, that some certain effects are equal on all its sides. CENTRE OF GRAVITY, that point at which all the weight of a mass might be collected, without disturbing the equilibrium of any system of which the mass forms a part. Thus, if a lever were balanced by means of two solid spheres of uniform density hung at the ends, the equilibrium would still remain, if all the matter of either of the spheres could be concentrated at its centre. The centre of the sphere is then its centre of gravity. CENTRE OF PRESSURE, the point at which the whole amount of pressure may be applied, with the same effect as it has when distributed. CENTRE, in building, is a combination of timber-beams, so disposed as to form a frame, the convex side of which, when boarded over, corresponds to the concavity of an arch ; or the wooden mould, used for turning an arch of stone or brick during the time of erection. Centre of a cylindric or cylindroidal arch, which rises more than the breadth of a plank, is a number of boards supported transversely by one or more vertical frames, or trusses, as the length of the cylinder, or that of its axis, may require. Centre for a groined arch upon a rectangular plan is thus constructed: Make the centre for one of the cylinders, or cylindroids, viz. that of the greatest diameter, when there is a difference, as if there had been no other cylinder crossing it; find out the places on the surface of this cylindric or cylindroidal centre, where the surface of the transverse vault would intersect: fix the whole ribs on the cross vault, and parts of ribs on the surface of the vault already completed, observing to keep the outer edge of these ribs the thickness of the boards within the intended surface of the intrados of the arch; when this transverse vault is boarded over, the boards will intersect the lines drawn on the first centre, and the surfaces of the boards of each vault will form the GEN 137 CEN true surface of the groined centre, on which the stone or brick arch is to be turned. The frames or trusses which support the boarding are frequently called ribs; and the short ribs which are fixed to the boarding, and made to range with the whole ribs, are called jack-ribs. Under the word STONE-BRIDGE, &c., the theory and construction of arches will be described; in the present article we propose to show how the archstones are supported till the arch is completed; and the most commodious and least expensive manner in which this can be accomplished. The proper construction of such supports, or the best mode of framing the centres for large works, has always been considered so important a subject, that it has occupied the attention, and exercised the talents, of the most eminent engineers and architects. The principal object to be kept in view is, to fix the various parts of the centering in such a manner, as to support, without change of shape, the weight of the materials that are to come upon them, throughout the whole progress of the work, from the springing of the arch to the fixing of the key-stone. This object has not always been sufliciently attended to by the professional men, either of this, or of other countries; for in many instances it has been ascertained that the centres of bridges, from the injudi- cious principles of their construction, have changed their shape considerably, or entirely failed before the arch was complete; and in consequence of change of shape only, the arches built upon them have varied, both in form and strength, from the intention of the engineer. In the large works of this kind, however, erected in Great Britain, our best engineers have constructed their centres on principles calculated to sup- port every weight, and resist every strain to which they might be exposed. “ The qualities of a good centre,” says Tredgold, “ consist in its being a suflicient support for the weight or pressure of the arch-stones, without any sensible change of form throughout the progress of the work, from the springing of the arch to the fixing of the key-stone. It should be capable of being easily and safely removed, and designed so that it may be erected at a comparatively small expense.” The centre of a large vault, as that of a bridge, is con- structed of trusses disposed equidistantly in vertical parallel planes, and boarded over so that the convexity of the boarding may coincide with the intended internal intrados of the arch. The distance of the ribs may be disposed at from three to eight feet, according to the strength of the boarding and weight of the arch. In very large works, a bridging is laid for every course of arch-stones, with blockings between, to keep them at regular distances. The ring-stones do not always rest upon these bridgings; planks being sometimes put between, that they may be cut away afterwards, to separate the centre and the intrados from each other, in order to ascertain whether there are any settlements, to repair the damages, and put the arch in a state of equilibrium. Where the river is not navigable, the trusses may be con- structed with a, beam at the bottom: in this case, there is no difficulty. The forms for the trusses of roofs with tie-beams, may form the grand or principal part of the truss for the centre. But when the river is navigable, the centre requires as large an opening as is consistent with its strength, in order that vessels may pass under it; and as the horizontal tie is interrupted, this disposition of the timbers will require much greater skill in the carpenter. If the river over which a bridge is to be built be not navigable, the manner of constructing the centre is so easy, that it would be unnecessary to give any examples here ; but where the river is navigable, instead of the horizontal 2 N tie, a number of ties are disposed around the polygon, forming the interior part of the centre; but as in many practical cases the most judicious and well-skilled theorist might be deceived as to the equilibrium of the arch to be supported, or the points in which it has the most tendency to fall, it would be very difficult to say what are ties and what are strutts; and even if the true pressure of the arch could be ascertained, the knowledge of this alone would not be sufficient; for the same parts of the vaults, in the process of execution, vary their pressure in every succeeding additional part, and what was a tie at one time, becomes sometimes a strutt; while a strutt, on the contrary, will become a tie, either in building, or at the completion of the vault. This ought to be well considered ; and where the pressure is doubtful, or any of the lengths of timber forming the centre are ascertained to be in the two different states above mentioned, such timbers should be made to act in either case. Though the timbers upon which the vault immediately rests, cannot be supported transversely throughout, the other pieces, which support the arch from the several pressing points, may all be made to act, by ajudicicus arrangement, in the direction of their lengths. The abutting joints, which are pressed, will be sufficiently resisted, when their shoulders are made perpendicular to the direction of their force, and with the small tenon; but if the timbers are drawn in a direction of their length, the joints ought to be strapped The beauty of every truss is to have as few quadrilaterals as possible. All the openings should be triangles: the inter- section of the timber should be as direct as possible. Oblique directions exert prodigious strains, which require timbers of very large sections to withstand them, and press upon the abutments so much as to make the whole truss sag by the compression of the intermediate joggles. If proper attention be paid to these, circumstances, and the bearings of the timbers be well ascertained, a centre, constructed upon such principles, must answer its intended purpose, provided a proper estimate be taken of the com- municating forces during the execution of the vault, and the centre be well secured at its abutment. A centre for the arch of a bridge over a navigable river, may either be accomplished with one centre around the interior of the entire arch, supported between the piers ; or, if the span of the arch will admit, the aperture may be sub- divided into two or more apertures, by one or more supporters, each consisting of one or more posts of wood, braced together when necessary; these supporters, together with the sides of the stone piers, support the centre of the aperture, on which the stone arch is to be erected over the whole. By this mode, the centering is much more simple in its construction and requires fewer timbers, and these of smaller scantlings than when made in one centre. If a centre be truly constructed, every point of the vault to be built ought to be supported, without giving any trans- verse strain to the incumbent part of the centre: but this is impracticable ; for, as it would require a multiplicity ofjoints, it would, from the shrinking of the timber, be lesssuflicient than if composed of few pieces, supporting only a certain number of points disposed at judicious distances,_leaving the intervals to be supported by timbers in which the super- incumbent part of the arch might act transversely, but still presenting such a resistance, as not to be materially bent or put out of form by the load of the arch above. By these precautions, the centre will be constructed so as not to yield, or give way, though the load should vary during the erection of the arch, and will stand as. firm as if the whole had been constructed out of a single solid: the only thing to be attended to, as before observed, being, to make CEN the timbers sufliciently strong to withstand either tension or compression. There are several other principles of constructing the ribs of centering; one of these may be that of a large truss, spanning the whole opening, having its vertex supporting the summit of the arch, and its rafters, or principal braces, supporting other subordinate trusses which resist the pressure of the arch at other intermediate points. , Of this kind is that of the bridge of Orleans, by M. Hupeau, one of the boldest centres ever executed in Europe. Another principle is that of two independent trusses, one supporting the sides or haunches of the arch, and the other the crown. Of this construction was the centering of the nave and tran- septs of St. Peter’s church, at Rome, by Michael Angelo, and two centres by Pitot. Another principle of centering is that of inscribed equilateral polygons; that is, the exterior beams, supporting the curve, are of equal lengths, and joined toge- ther in the form of a polygon: another polygon is formed within this, having its angles in the middle of the sides of the former, and so on, alternately, until there are as many poly- gons inscribed as will make the centering sufficiently strong or stiff. This mode of centering may be of two kinds: one, when the angles are fixed at their junction to the sides of the last polygon with bolts; bridles, or double truss-pieces, being put over the angles to prevent a transverse strain at the sec- tion of the timbers where the two pieces meet, and to support the curve above. The other kind is, when the polygons act independently of each other; these polygons are brought into action by bridles, which support the curve, and act upon the angular points of each other’s polygon. Of this kind were the centering of the bridges of Cravant, Nogent, Mayence, and Neuilly, constructed by Perronet. Though these center- ings have been executed to very large spans, the last men- tioned being 120 feet, their equilibrium is by no means so secure as when the angles of the inner polygon are fastened to that immediately preceding, as is evident from the infor— mation given of the erection of these bridges, by the ingenious architect who has favoured the world with a treatise on this subject. Another principle of centering is that of Westminster and Blackfriars bridges, London. They Consist of a series of trusses, each supporting a point in the arch, the principal braces having their lower extremities abutting below, at each end of the centering, on the striking-plates. and at the upper end, upon apron-pieces, which are bolted to the curve that supports bridgings for binding the pieces which compose them together at their junction. There is one disadvantage under which this mode labours; that is, the frequent intersection of the principal braces with each other: they must either be halved one upon the other, otherwise they must be discon- tinued, and made in various lengths. Both these modes diminish their lateral strength, and consequently make them much more liable to buckle than when whole ; but of the two, that of halving is to be preferred; as by the braces being in one length, there can be no sagging occasioned by interme- diate joggles, and the braces may be rendered sufficiently secure, laterally, by running straps longitudinally across the notched part on each side, bolting these straps to the braces. Lastly, another mode of centering may be that of a number of quadrilateral frames abutting on each other. having their joints radiating to a centre, in the manner of the wedge-stones of an arch in masonry. These frames should all be resolved into triangles by one or two diagonals, according to the kind of strain, keeping in view that a piece, which is a tie in one diagonal, is, in the other diagonal of the same quadrilateral, a strutt ; but if the kind of strain on any frame be not well ascertained, it would be better to place two diagonals, halv< d l upon each other. The frames are to be secured with keys or V bolts, and by this precaution each frame will be rendered quite immovable. The general principle of construction is a series of trian- gles, of which every two are connected by a common side. Plate 1., Figure 1. Let A B C D E F G be the curve of an arch which requires a centre; let the points A, B, C, &c. be connected so as to form the equilateral polygon, A B C D E F G, and join AC, CE, aml EG; the timbers thus disposed will J form three triangles, which may be looked upon as so many solids, revolvable about the angular points A, C, E, G; sup- ; pose now, that these are to be in equilibrium, the smallest i force on either side would throw it down, and therefore, I without other connecting timbers, it would be unfit for the i purpose of a centre. 3, Figure 2. Let A B C D E F G be the curve of an arch which i requires a centre ; first, form the equilateral polygon, A B C D l 1 l I E F G, with the timbers A B, B C, C D, &c., and fix the timbers A C, C E, E G, as before, which will form three triangles, movable round A, C, E, G; let the timbers B D and D F be fastened, and thus the whole will be immutable; so that if ‘ supported at the points A and G, and a force applied at any other of the angles B, C, D, or F, the timbers will be all in a state of tension, or in a state of compression, and the whole may be looked upon as a solid body; for suppose the triangle A B C to be supported at the points A and B, the point C, and the other two sides, B C, C A, will be fixed; and because B C D is a triangle, and the points B and C are fixed, the point D, and consequently the sides C D and D B; in like manner, since C D E is a triangle, and the points C and D fixed, the point E will also be fixed, and therefore the sides D E and E C. The same may be shown, in like manner, for the points F and G. Suppose, then, two equal and opposite forces applied at the points A and G, in the plane of the figure, the figure can neither be extended out, nor compressed together. The pieces A II, H B, and G I, I F, are of no other use than to make the centre stand firmly on its base. This disposition of the timbers will cause them to occupy the least possible space. If the timbers are fixed at the points k, l, m, n, 0,1), Figure 2, the same immutability of figure may be demon-- strated; for, suppose the points A and H to be fixed, the point It will also be fixed; the points A andk being fiXed, the point B of the triangle A k B; again, the points B and It being- fixed, the point I will also be fixed: in the same manner, all, the remaining points, C, m, D, n, E, o, F, p, G, I, will be proved to be stationary in respect of the points A, II; and the whole: figure being kept in equilibrio by any three forces, acting in the plane of the figure, at any three angles, the action of the forces will only tend to compress or extend the timbers in a. direction of their length. In the construction of this truss, the triangular parts may be constructed all in the same plane, as in Figure l ; and the pieces BD and DF may be halved upon the pieces 0 A and E G; but the utmost care must be taken to secure the several pieces concurring at each of the angles, by bolting or iron straps, as no dependence 'an be put in any such joint without iron: but perhaps the best method of any is to halve the thickness of the pieces A C, C E, E G, at the points C and E, and also the pieces A B, B C; C D, 1) E; E F, F G; at the point: B, n, F: then bolting the ends A and c of the pieces B A, B C the ends C and E of the pieces D C and D E, and the ends 1 and G of the pieces FE and FG, and then fixing doublet braces B D, D F, that is, fixing B D upon one side of the truss. and another upon the other side of the truss, opposite to iti also fixing D F upon one side, and another opposite to it. The disposition of the timbers forming only a series 0 €7EE3'EEERHIQ'G. ‘ PLATE]; [4}]. 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TEE 101773015 PRJTJ'IIYC- A173 3"3533' (£533me ’[ OMIHSI'IHH1|‘;1~‘; JUL; : .“ ‘l M ”VI; . . ; A: ;“ ‘; ; ‘ ‘U ‘ M «33; “W“; n'; ”Luv ‘11:” L ‘Vv. ‘;“ .1 ;‘ M ‘.::; J“ “1 _ w; ‘. .le ;| ;’ ‘.; ; l, H}; 1‘ ; ‘H; 1;“ {I “HOUJL‘H‘H ©©'JI'H.E[.LVM JO HTHJLN' 1) i the principal rafters are braced from the lower queen-posts to j the posts. ' no occasion for bridles, or double trussing-pieces, as in those . of Pitot, of the same construction. 3 but for these there was evidently no occasion, as the pres- GEN 139 GEN quadrilaterals, gives nothing but immutability of figure. It can only derive its stiffness from the reSIstance of the joints. ' Figure 3 shows the manner of forming a centre by two polygons, of which the interior one is secured to the exterior: in this there is no occasion for double trussmg-pieces, as the parts of the inscribed polygon act either as strutts or ties to that of the circumscribing one. . . Figure 4 is the manner of forming the rib for .a centre, by two independent trusses; in this form of centering there 18 Figure 5 is the manner of constructing a centre, according to I’erronet, with four polygons, independent of each other, but with this improvement, that the lower extremities of each ring of polygons are framed into the two abutments; this gives a much firmer base than if they were all to meet at the same place, and renders the centre much stronger, by making the angles more acute. In this it becomes also necessary to have bridles, otherwise the exterior polygon only would be effective. figure 6 is the manner of constructing a centre with three polygons, which are all secured to each other. In this, truss- pieces become necessary, otherwise the angles of the inner polygon would bend the sides of that next to it. Plate 11., Figure 1, is the design of a centre, its principle being that of two roofs intersecting each other. In this example, the forces which are communicated to the various parts of the frame, are resisted longitudinally, either by com- pression or extension; and no force is exerted transversely on any part, excepting the curved pieces in contact with the boardingr supporting the arch-stones. figure 2 is the design of a centre ; it is first framed in one large truss, like a common roof, with two principal rafters, and a collar-beam ; each of the rafters becomes a tie for the two small trusses above, which are framed in the manner of a roof, with queen-posts and braces. The lower angles of This truss is free from transverse strains in all its parts, except the curve, which supports the arch-stones ; and, if well secured at the abutments, an arch of immense weight may be sustained by it. Figure 3 is the celebrated centre used at Blackfriars Bridge. The names of the timbers are as follows : A. Timbers which support the centering. B, C. Upper and lower striking-plates, cased with copper. n. Wedge between striking - plates, for lowering the centre. E. Double trussing-pieces, to confine braces. F. Apron-pieces, to strengthen rib of centre. G. Bridgings laid on the back of the ribs. 1!. Blocks between bridgings, to keep them at equal dis- tances. 1. Small braces, to confine the ribs tight. K. Iron straps bolted to trussing-pieces and apron-pieces. L. Ends of beam at the feet of truss-pieces. M. Principal braces. The centre used at Westminster Bridge was formed by independent trusses, consisting of two rafters ; the intersec- tions all supposed to be halved together, and firmly strapped across the notchings. Double truss-pieces were also used, sure would be directed to the abutments, or to two opposite points of the arch in the same level. The annexed plate is a perspective view of the centering of one of the arches of Waterloo Bridge. This magnificent bridge was built under the direction of the late Mr. John Rennie, and is a noble specimen of simplicity of design, skil- ful arrangement, and solidity of execution. The centre was composed of eight frames or trusses, and, though somewhat complicated, was on the whole a. judicious combination ; exhibiting rather an excess than a deficiency of strength. In the erection of Chester Bridge, finished in 1832, an entirely different principle was adopted in the construction and the mode of relieving the centre; it is thus described in the Transactions of the Institution of Civil Engineers, Vol. I. :— “ The centre on which the stupendous arch of Chester new bridge was raised, and which is stated by Mr. Hartley, (the engineer of the bridge,) to have been exclusively designed by Mr. Trubshaw, claims a detailed notice, from the novelty of the principle it was formed on, the efliciency with which it did its work, and the economy that attended its use. The centre consisted of six ribs in width, and the span of the arch was divided into four spaces by means of three nearly equi- distant piers of stone built in the river, from which the tim- bers spread fan-like towards the sofiit, so as to take their load endwise. The lower extremities of these radiating beams rested in cast-iron shoe—plates on the tops of the piers, and the upper ends were bound together by two thicknesses of 4-inch planking bending round, as nearly as they could be made, in the true curve of the arch. . On the rim thus formed, the lagging, or covering, which was 4% inches thick, was supported over each rib by a pair of folding wedges, 15 or 16 inches long, by 10 or 12 inches broad, and tapering about 1%,— inch ; for every course of arch-stones in the bridge, there were therefore six pairs of striking wedges. The horizontal timber of the centre was only 13 inches deep, and the six ribs were tied together transversely near the top, by thorough bolts of inch iron, but with a view not to weaken and injure the timber more than was absolutely necessary, the least pos- sible of iron was used.” This centre thus differs essentially from any other hitherto employed; each rib, instead of forming one connected piece of frame-work, consisting in this of four independent parts, and hardly any transverse strain has to be resisted. It has also this advantage, that the bearings may be gradually relieved, or tightened at one place, and slackened at another, as may be necessary, because the wedges are in this construc- tion borne by the centre, instead of the centre being borne by the wedges. In striking centres it is of great advantage to be able to sufi‘er them to rest at any part of the operation; for it is important that the arch in taking its proper bearing do not acquire any sensible degree of velocity, or settle too rapidly. The centre, says Alberti, should always be eased a little as soon as the arch is completed, in order that the arch-stones may take their proper bearings before the mortar becomes hard. If the mortar be suffered to dry before the centre be lowered, the arch will break at the joints in settling, and the connection of the arch will be destroyed. In small centres, the wedges are driven back with mauls, men being stationed at each pair of wedges for that purpose. But in larger works a beam is mounted, as a battering-ram, to drive the wedge- formed blocks back. The French engineers, in removing centres, destroy, by little and little, the ends of the principal supports; a work of difficulty, as well as danger, and which cannot be done with so much regularity in this way as by wedges. See IRON BRIDGE, STONE BRIDGE, and SUSPENSION BRIDGE. CENTRE, in geometry, a point in a figure or solid, such that if any straight line be supposed to pass through the point until it terminate on both sides of the figure or solid, the line will be bisected. Figures of this property are infinite. Some CHA 110 CHA of them are the circle, ellipsis, parallelograms of every spe- cies, &c.; and some solids of this nature are the sphere, spheroids, parallelepipeds, 8w. In a circle, the centre is everywhere at an equal distance from the circumference. In a sphere, the centre is every where at the same distance from the surface. In the ellipsis, any two straight lines passing through the centre, terminat- ing at each end on the circumference, and making equal angles with either axis, are equal; or the four lines drawn from the centre to the circumference, are equal. The same property applies to the opposite hyperbolas. CENTRES OF A DOOR, two pivots, round which the door is made to revolve. CENTROLINEAD, an instrument for drawing converging lines, when the point of intersection is inaccessible. CENTRY-GARTH, an old English term for a burial— ground. CEROFERARIUM, paschal taper. CEROMA, the anointing-room in ancient baths and gymnasia. CESTOPHORI, sculptures of females bearing the cestus, or marriage-girdle. CESSPOOL. See SESSPOOL. CHAIN-TIMBER, in brick houses, a timber of larger dimensions than common bond, placed in the middle of the height of the story, for strengthening the building; the scantling of chain-timber is 8 inches by 5 inches, or 8% inches by 5% inches, viz., equal to the length and breadth of a brick. CHALCIDICJE, a large magnificent hall, belonging to a tribunal, or court ofjustice. Vitruvius employs the term for the auditory of a basilica; and other ancient writers use it for an apartment in which the gods were supposed to sup. CHALICE, the cup used to contain the wine at the cele- bration of the eucharist. In early ages, chalices were made of glass, wood, or horn; but in the council of Rheims, A.D.' 847, the materials for the chalice were restricted to gold or silver. The rim of the chalice should never turn over. CHALK, an opaque mineral, of a yellowish white, or rather of a snow colour, of a fine earthy fracture, without lustre, breaking into blunt-edged angular fragments; when contaminated with iron, it has more or less of an ochrey tinge, and stains the fingers; but when pure, it is very soft and almost friable, gives a white streak, has a meagre feel, and adheres to the tongue. It efibrvesces violently with acids; and when mixed with iron, becomes harder and heavier: its specific gravity varies from 2'4 to 2'6. It occurs generally in a mass, sometimes disseminated, or invest- ing other minerals. In a state of purity, it appears to be composed only of water, lime, carbonic acid, and a small quantity of alumine. Mr. Kirwan obtained the following analysis : a candlestick used to hold the 3 water 53 lime 42 carbonic acid 2 alumine —_ 100 Chalk occurs in thick beds, nearly horizontal, alternating with thin layers of flint nodules, which are also irregularly dispersed through its substance. It contains a vast quantity of the relics of disorganized marine bodies, and often the hard parts of amphibious and land animals, as the heads and vertebrae of crocodiles, elephants’ teeth, 8m. Chalk beds occur frequently in the east and south parts of England, in the north-east of France, in Poland, and in some parts of the Danish islands. Its uses are numerous; it is employed in walling or vaulting, as building-stone; many of the groins or vaults of our Gothic churches are constructed with it; it is also employed in the 3 composition of mortar, in countries where limestone is less abundant; and when well burnt, is found not much inferior to lime-stone. . CHAMBER, (from the Latin, camera, derived from the Greek, xapapa, a vault, or curve,) a vaulted apartment, a part of a lodging. This term was formerly applied to any room, and sometimes even to a suite of apartments; but in modern times it is used to designate rooms ordinarily intended for sleeping in. The proportion of its horizontal dimensions may be varied, to accommodate different circumstances, which may occur either in the form of a building, or in the disposi- tion of the apartments, from the square to the proportion, of which the breadth is two-thirds of the length; its altitude may be three-fourths of the breadth. The word originally implied a vaulted apartment. In building bed-chambers, the situation of the bed, as well as of the fire-place, ought to be attended to, as should the disposition of the windows, when they can be shifted without destroying the symmetry of the exterior. If the bed and fire-place be opposite to each other, the fire-place may be in the middle of its own side; but if it should be found neces- sary to have the bed on the same side of the room with the fire-place, on_ account of doors or windows, or both, then the chimney ought to be placed in the middle of the remaining distance between the bed and the wall, the bed being sup- posed to stand at one extremity. The situation of doors may be the same as in other apartments ; passage-doors should be within about two feet of the angle of the room, on what- ever side they are made; and may either be on the same side with the fire-place, or on the opposite side to the fire- place, or in the return side, opposite to the window, next to the farther corner from the fire-side of the room. The bed ought to be so placed as to be out of the current of air, which usually rushes from the door to the fire-place. The most eligible figure of chambers, for furniture, is the rectangle ; though sometimes the circle, ellipsis, or octagon, may be allowed to some particular room, for the sake of variety. Besides passage~doors, it is convenient for cham- bers to communicate with each other, or with a dressing- room. CHAMBER or A LOCK, in inland navigation, the Space ‘ between the gates, in which a boat rises and sinks from one leVel to another, in order to pass the lock. CHAMBER-STORY, a story of a house appropriated to bed- rooms. In good houses it should never be less than 10 feet high; and in mansions 12, or even 15 feet high. Chambers should not be too high, because it is difficult to warm them; nor too low, as it is prejudicial to the health. CHAMBERS, SIR \VILLIAM, a distinguished architect, is said to have derived his descent from the ancient family of Chalmers, in Scotland, barons of Tartas, in France. He was born, however, at Stockholm, in Sweden, where his father had resided for many years, in order to prosecute certain claims he had on the government of that country. very young man, he made a voyage to China, as supercargo in the service of the Swedish East India Company, and pro- bably thus acquired his taste for the Asiatic style of ornament. At the very early age of eighteen, we find him established in London as an architect and draughtsman, in which capacities he soon acquired considerable reputation; and obtaining an introduction to Lord Bute. shortly afterwards was appointed “'hen a a CHA 141 CHA through that nobleman’s influence drawing-master to the Prince of Wales, afterwards George III. . He was employed, soon after the access1on of George III., to lay out the gardens at Kew, and there displayed, Without restraint, his predilection for the Chinese style, both .Of architecture and gardening, decorating the royal gardens with numerous temples, pagodas, and other Asxatic buildings. Being patronized by the King and Princess-dowager, he was employed as architect to the-most conmderable buildings of the day; and was also appomted Surveyor-General to the Board of Works in Somerset House, a situation worth at least two thousand pounds a year. Sir William died in 1796, leaving a large fortune. As an architect, although his taste was fantastic, he frequently displayed a certain gran- deur in his designs, and in the disposition of interior arrange- ments particularly, showed considerable ingenuity and prac- tical ability. His chefld’wuvres are his staircases, particularly that in the Italian villa he erected for the Earl of Besborough, at Roehampton; and also those at Lord Gower’s and the Royal Antiquarian Society’s. In the time of Sir W. Chambers, pure Greek architecture was only beginning to be known in England ; and at first its introduction was not much favoured. The indiscriminate adoption of Greek models for public buildings in London has filled the metropolis with structures quite unsuited in external form to improve the appearance of a large city, and often ill adapted, in their internal arrangements, to the purposes for which they are designed. Instead of large masses and lofty buildings, the streets of London are crowded with mean porticos and pigmy pillars, attached to edifices of so little elevation, and so much out up into small parts, as to suffer by comparison even with many of the adjoining houses. The street-front of Somerset House, Chambers’s best work, is, in all respects, better adapted to a great city, than the Greek models which are now too generally adopted; and the river-front forms one of the boldest architectural objects in the metropolis, particularly when beheld from the water. Its extent and elevation, and the majestic breadth and range of its terrace, give it an air of grandeur exceedingly striking and imposing. The works published by Sir \Villiam Chambers were- A Treatise on Civil Architecture, of which a new edition, by Joseph Gwilt, Esq , F.S.A., appeared in 1824. Plans, Elevations, Sections, and Perspective Views of the Gardens of Kew; Chinese Designs; and Chinese Gardening. His Treatise on Civil Architecture, though prejudiced against Grecian architecture in favour of the Roman, is an excellent work. CHAMBRANLE, the border of stone, or the wooden frame, surrounding the three sides of a door, window, or chimney; the head of the chambranle is called the traverse, and the two sides, the ascendants. When the chambranle is plain, it is called a band, case, or frame. In an ordinary door, it is called the door-case ; in a window, the windowframe ; in the latter case, it comprehends also the sill. When the chambranle is moulded with one or more faces, and bordered outwardly with one or several mouldings, it is called an architrave ; though it should rather be said to be architrave-moulded, being only an imitation of that division of the entablature of an order. CIIAMFERED, Rustic. See RUSTIC. CHAMFERET, a half scotia, being a kind of furrow, or gutter, on a column ; called also strict, and strict. CHAMFERING, KaerTEtV, to bend, the act of cutting the Edge of anything, which was originally right-angled, aslope, 01‘ bevel; so that when placed in its destined situation, the Plane formed by this cutting may be inclined to the 2 o horizon, while the other parts are perpendicular and parallel to it. A chamfer differs from a splay in being smaller, and in cutting off an equal portion from either side. In Gothic architecture chamfers are very frequent, and are often orna~ mented with mouldings and foliage at their terminations. CHAMP, a flat surface, the ground of relieved sculpture, or engravmg. CHAMPAIN LINE, a conjunction of straight lines, forming indentations similar to the projecting parts; the sides of each ascending part, which are also the sides of the alter- nate indentations, being parallel to each other ; the bottom of each indentation being formed of three internal angles, and the top of each projecting part of three external angles; each ascendant and each indentation being shaped alike on both sides; that is, the corresponding angles and lines, whether of the ascendants, or in the depressions, being equal. CHANCEL, that part of a church which is appropriated to the clergy and others officiating in the public services. The term comes from the Latin, cancellus, which, in the lower Latin, is used in the same sense, from cancelli, lattices, or cross-bars, which anciently partitioned the chancel from the other part of the church. Externally, the chancel is distinguished as a projection at the east end, of smaller dimensions than the nave, and with- out aisles; so that when the body of the church is accom- panied by aisles, it is very readily recognized, and in other cases by its proportionate dimensions. Sometimes, however, the chancel is of the same size and height as the nave, and the aisles are continued to its eastern extremity; but even in this case the division may be shown by means of a belfry on the apex of the roof at that spot or by some other such method; in some instances there is no distinction externally. Internally the chancel is usually separated from the nave by a lofty arch, in the spandrils above which is often a picture of the Last. Judgment; a further separation is effected by an ornamental screen of wood or stone, more frequently of the former, panelled and pierced in open tracery, surmounting which was, in former times, the rood-loft, or gallery in which the rood, or large crucifix, accompanied by the images of the blessed Virgin and St. John, was placed, facing the west end of the church. Here the level of the flooring was raised by one or more steps, and again before you arrive at the plat- form on which stood the altar; in one or two cases the chancel is depressed below the level of the nave, but these are purely exceptions. I'Vhen the aisles of the nave are continued eastward, the only division consists of the screen and steps; but the dis- tinction will be effected by some difference in the roof, or by the superior quality of the decoration. In such cases the aisles are partitioned off from the chancel by other screens or pal-closes. The chancel is lighted by the east window, which should be the most important in the building, and by two or more in the north and south walls, according to its length. There is a door in one of the side-walls, towards the east end, for the priest, leading into the vestry, or forming his entrance into the church. The roof is of a more elaborate character than that in other parts of the structure, as indeed are all the enrichments. The floor was often covered with encaustic tiles, with devices of various colours painted on their surface, while the aisles in the body of the edifice were paved with tiles of a plainer description; the whole of the walls were sometimes decorated with colour and rich hangings, a method which has of late been adopted with success in one or two churches in London. In the centre of the eastern wall was the altar, and on the CHA 142 CHA south of it the piscina, usually formed by a recess in the eastern extremity of the south wall, and used to wash the sacred vessels, to contain which, when not in use, was pro- vided an aumbry or cupboard near the piscina, and taken out of the thickness of the south or north wall, furnished with a door and means of securing it. Adjacent to the piscina are sometimes found, especially in the larger churches, seats for the officiating priests. These sedilla, as they are termed, consisted of stone or wooden seats, varying in number from one to five, the more usual number being three, raised in gradation one above the other, according to the rank of the clergy who were to occupy them ; when of stone, they are more generally cut out of the thickness of the wall ; when of wood, they may be movable. Westward of these, disposed on each side of the chancel, are the seats for the choristers, con- sisting of two or three rows, one in front of the other and a little below it. Occasionally these seats are returned in front of the rood screen, and in that case they always face eastward toward the altar. In the north wall of some chancels is found an arched recess, which sometimes contained a stone tomb, occasionally that of the founder; this was the holy sepulchre on which the ceremonies commemorative of our Lord’s burial and resurrection were celebrated at the season of Easter. Where there is no sepulchre, a movable wooden structure was employed for the purpose. The principal feature of the chancel is the altar. This is an elevated table of an oblong shape, constructed of either wood or stone; in thefirst ages of the church, up to the fifth century, they were generally made of the former mate- rial, though stone was recommended by Pope Sylvester, early in the fourth century. The council of Hippo forbad the use of wood, as did also that of Epone, in France, at the commencement of the sixth century, from which period they have been made of stone. Stone altars were disused in England at the Reformation, and so few survived the turmoils of this period, and of the succeeding rebellion, that we have scarcely an entire example left; those in the chantries and side-chapels are almost the only ones that escaped destruction. The high altar of Arundel church, Sussex, which was pre- served by being enclosed in wood, will give us a fair idea of their form and construction. It consists of a slab 12 feet six inches long, by 4 feet wide, and 2% inches in thickness, sup- ported on a solid stone 3 feet 6 inches in height, and quite plain; in some cases, however, the front and sides were carved in panels and various devices, and richly coloured. Sometimes the slab is supported on stone legs, and sometimes on brackets, as at Broughton Castle, Oxford; it was gene— rally marked on its upper surface with five crosses in reces- sion, one in the centre, and one in each corner, representing the five wounds of our Lord. In the church of Porlock, Somer- setshire, the crosses do not appear on the slab, but are found in the centre panel in the face of the supporting masonry. That part of the east wall immediately above the altar is frequently ornamented with a reredos of tabernacle work, or a series of enriched arches ; sometimes this space is occupied by a triptych, or painting of three compartments, often repre- senting the crucifixion. “Pertaining to the high altar,” says Mr. Bloxam, in his valuable little manual, “ which was covered with a frontal and cloths, and anciently enclosed at the sides, with curtains suspended on rods of iron projecting from the wall, 'as a crucifix, which succeeded to the simple cross placed on the altars of the Anglo-Saxon churches ; a pair of candlesticks, generally with spikes instead of sockets, on which lights or tapers were fixed ; a pix, in which the host was kept reserved for the sick ; a pair of cructs, of metal, in which were con- tained the wine and water preparatory to their admixture in the eucharistic cup ; a sacring bell ; a pax table, of silver or other metal, for the kiss of peace, which took place shortly before the host was received in communion ; a stoup, or stok, of metal, with a sprinkle for holy water ; a censer, or thurible ; and a ship—a vessel so called—to hold frankincense; a chris- matory, an offering basin, a basin which was used when the priest washed his hands ; and a chalice and paten.” Another part of the furniture of the chancel is the credence- table, or table of prothesis, on which the elements were plated previous to consecration, usually situate on the north side of the altar. This is of much smaller dimensions than the altar, sometimes of stone richly panelled, as at the church of Holy Cross, near Winchester, and Fyfield, Berks, where it is in shape semi-octagonal ; they were sometimes also of wood, a specimen of which is pointed out at Chipping- VVarden, Northamptonshire, the date of which is A.D. 1627. The credence is very frequently found in the form of a shelf '- above the piscina, and under the same niche and canopy. We must not forget to mention the lettern, or desk, from whence the lessons were read, which was placed at the western end of the chancel ; it was generally of brass, some- times in the shape of an eagle with expanded wings, and sometimes forming a sloping desk, with the slope on one or two sides, in all cases supported on an ornamental stem. Eastward of this, immediately in front of the altar-steps, was the fald-stool, a low, sloping desk, at which the priest knelt at the Litany. The chancels of our old churches vary so much in size and proportion," that it is impossible to lay down any rule by which their dimensions may be determined ; we always find them, however, of sufficient space to form a prominent feature in the building ; sometimes they are as long, or longer than the nave, but this practice we would not recommend for adoption. It may be laid down as a general rule, that the chancel be well defined and fully developed, yet not of so great length as to prevent the voice of the celebrant being heard throughout the nave; on an average, we may give the length of 30 feet as a standard for most modern churches, but of course this dimension will vary with the size and width of the church. The materials and workmanship in this part of the edifice should always be of the very best description, and the ornamentation more rich and frequent; care must be taken to avoid the use of any decoration except such as is of a strictly religious character, and adapted to its particular situation: all meretricious ornament should be at once dis- carded; severity is wanted, not display. CHANDELIER, a candlestick, lamp, 8m. suspended by a chain. rope, or bracket. ClIANDRY, a room where candles and other lights are kept. CHANNEL, a canal, or long gutter, sunk within the surface of a body. CHANNEL OF THE LARMIER, a hollow soflit, or canal, under the corona, which forms the pendent on the front. See Bl-IAK. CHANNEL OF THE VOLU'rE, in the Ionic capital, is the hollow spiral, sinking between the fillets. See CANAL on THE IONIC VOLUTE. CHANNEL STONES, in paving, are those prepared for gutters or channels, for collecting and turning otf the rain— water with a (mrrent. CllAN'l‘LATE, in building, a piece of wood fastened near the ends of the rafters, and projecting beyond the wall, to support two or three rows of tiles, so placed as to prevent the rain-water from trickling down the walls. CHANTRY, or CIIAUNTKY, was anciently a church or chapel, endowed with lands, or other yearly revenues, for the mainte- CHA nance of one or more priests, daily saying or singing mass for the souls of the‘donors, and such others as they appointed. CHANTRIES, are also small chapels attached to a church, and are sometimes external additions to the church; but more frequently, especially in cathedrals and the larger churches, erections within it; they are separated ofl‘ufrom the body of the church by screens of open work surrounding and enclosing the tombs of the founders, and are usually provided with an altar at the east, with its appendages, such as piscina, aumbry, 860. Many beautiful specimens are to be found in our cathedral and abbey churches, and amongst the most costly may be enumerated those of Henry V. and Henry VII. at \Vestminster, the latter of which is, as is well known, of great size and magnificence; of Edward IV. at “lindsor; of Edward II. at Gloucester ; and of Bishops \Vaynfleet, Beaufort, and Wykeham at Winchester. CHAPEL, a small detached building for divine service, sub- ordinate to, and usually dependent on, the parish church, from which it is distinguished by the fewer privileges belonging to it, such as having no proper priest attached, or being deprived of the power of having baptism administered within it. CHAPEL, is also a building adjoined to a church, as a part thereof, having only a desk, 8m. to read prayers in, and, in the Romish churches, an altar, 8:0. to celebrate mass on; but without any baptistry or font. The eighteen chapels on the sides of King’s College chapel, Cambridge, are formed between the buttresses; most of them Were originally provided with altars: those on the south side of this magnificent building, are appropriated to the college library. Previous to the Reformation, nearly all castles, palaces, man- sions, and religious establishments, were provided with private chapels. These were either detached buildings, 01' portions of the entire edifice constructed and set apart for sacred purposes. CHAPEL, also denotes the deep recesses made in the walls of ancient edifices, and is of a similar signification to what is otherwise called exhedrw, by Vitruvius ; thus the Roman Pantheon has seven chapels in its circumference, the entry corresponding to what otherwise Inight have been the eighth; and the sides of the courts of the great temple at Balbec are full of chapels, or cw/zedraa. Those of the rectangular court of this temple, and those of the Pantheon, are alternated with circular and rectangular plans, and most elegantly decorated with columns in the front towards the interior. The semicircular recess at the end of the basilica, and at the end of our most ancient churches, is often denominated chapel. Smaller recesses in ancient edifices, for containing statues, are denominated shrines, or niches. ClIAPITER, the same as CAPITAL, which see. Cnarrrnns WITII MOULDINGS, are those without foliage, or other ornaments, as the Tuscan and Doric capitals. Length Breadth. Int. Ext. Int. Height. Ext. lnt BRISTOL 143 CHA I CHAPITERS WITH SCULPTURES, are those that are adorned with foliage and other carved ornaments; the finest yet invented is the Corinthian capital. CHAPLET, a small ornament cut into olives, beads, &c. ; a sort of fillet. CHAPTER-HOUSE (from capitulum) a place belonging to a cathedral, or collegiate church, wherein the assemblies of the clergy were held. The greater number of chapter-houses were connected with the cloisters of the church to which they belonged, by which means they were approached from the church; but, at Wells, York, and Litchfield, they are adjacent to the north transcpt, in the first case being considerably elevated above the level of the church; they are seldom found westward of the tran- Sept. The earlier of these edifices, dating of the eleventh and twelfth centuries, are in plan parallelogramic, termina- ting sometimes toward the east in a semicircle, as at Durham Cathedral; at later periods we find them octangular or polygonal, while that of 1Vorcester is circular internally, with ten sides on the exterior. In elevation the walls are supported by buttresses—that of Lincoln with flying buttresses—with one or more windows between each pair, the whole being covered in the later instances, with a very high-pitched roof gathering from each side of the building, and terminating in a point at its apex. Below the windows, in the interior, runs a continuous seat or bench-table, backed with a series of niches or arcades, and at the east end, facing the entrance, stand three stone Seats, usually of greater elevation than the rest, appropriated to the superior members of the chapter. The ceiling is more frequently vaulted. Among the earlier specimens may be enumerated Durham, probably the oldest, parallelogramic, with circular east end ; Gloucester, Bristol, Oxford, Chester, Canterbury, and Exeter, all of which are rectangular. The first variation seems to have been at Worcester, which is circular within and decagonal without; the vaulting of the interior being supported by a central pillar and brackets in the side-walls. Of the remainder, Lincoln has ten sides, the vaulting supported by a central column and flying buttresses, which last appendage forms its peculiarity ; Wells, Lichfield, Salisbury, and York, only eight sides, the vaulting sustained, as in the previous examples, that of York only excepted, Where the vaulting is carried across the building in a single span of forty-seven feet. Wells chapter-house is erected over a crypt, a pecu- liarity which it shares with that of Westminster; that of Lichfield, although octangular, has two of its opposite sides of longer dimensions than the others, in which respect it is perfectly unique; while that of Salisbury is perhaps of all specimens the most beautiful. The subjoined LIST OF CHAPTER-HOUSES IN ENGLAND, (from Britton’s valuable works,) may be found useful. _ Rectangular. 43ft 53ft 25lt 36ft 26ft Date 1142 ; adjoins S. transept ; approached from cloistcr by a vestibule ; vaulted roof. N. of transept ; entrance from cloister ; vaulted roof with wood and tracery ; large B. audW. windows. Temp. Henry II ; S. of transcpt; entrance from Cloister. One side remains 5 and joins S. transept with slyp between. About 1150; separated from S. transept by passage. Before 1200; 140 feet diameter including buttresses. Temp. Henry III. ; octagon; central column; over crypt. S. of transept ; entered from Cloister; vestibule; about 1260. CANTERBURY ...... 87 99 35 45 52 varnsrnn 68 77 35 44 Very lofty entrance from Cloister ; arched roof. DURHAM .......... .. 78 90 36 45 Date 1133 ; semicircular end ; taken down. Cnnsrra ............ 5O 58 26 36 36 eronn ............... 54 64 24 34 Exl-z'rut ............... 55 62 28 38 50 Lower part about 1230—upper part 1427. thcnssrnn 8:5 LLANDAI’F ........... . 23 27 21 26 Early pointed. Octagonal POI? anal c. Woncssrrn ...... 55 65 55 65 , J9 , é LINcoLN 62 70 62 7O 42 LienriizLD ...... 45 54 28 36 About 1200; large vestibule. \‘l rsrinxsrnn ...... 58 66 58 66 \\ ELLS ............... 55 65 55 65 42 Over crypt; small vestibule. llmtsronn ......... 45 45 Decagon ; fragment remaining. Sausumw ........ 53 58 53 58 52 103K 57 70 57 70 Connected with N. transept by vestibule ; vaulted roof, of wood. CHE 144 CHI CHAPT REL, from chapz'ter, the capitals of pillars and pilasters, which support arches, commonly called impost. See IMPOST. CHARGED, a term in architecture, implying that one member of an edifice is sustained by another; in which case, the latter is said to be charged with the former. Thus, a frieze, or other surface, when ornamented, is said to be charged with the ornament; but when the ornament is too abundant, it is said to be over-charged; a column supporting an entablature is said to be charged with the entablature. CHAR or CHARE; an old term equivalent to the word hewn or wrought; thus charred stone is hewn stone, as distinguished from rubble. CHARNEL—HOUSE (Latin, caro-carms, flesh) a vaulted apartment, beneath or adjoining a church, in which human bones are deposited. CHARTOPHYLACIUM (Greek, xap'rng, paper, and ovxaaaew to guard), the place where records were kept. CHASE-MORTISE, or PULLEY-MORTISE, a long mortise cut lengthwise in one of a pair of parallel timbers, for insert- ing the one end of a transverse timber, by making the trans- verse to revolve round a centre at the other end, which is fixed into the other parallel timber. This is applicable to ceiling-joists, where the binding-joists are the parallel timbers first fixed, and the ceiling—joists are the transverse joints. CHAUNTRY. See CHANTRY. CHECKERED, or CHEQUERED, a surface is said to be checkered, when it is divided into a number of equal coliti— guous parallelograms, alternately coloured. The term is sometimes applied to reticulated masonry. See RETICULATED and MASONRY. CHEEKS among mechanics, are those pieces of a machine which form corresponding sides, or which are double and alike : two equal and similar parts, generally placed parallel to each other. . CHEEKS or A MORTISE, the two solid parts upon the sid s of the mortise. The thickness of each cheek should never be less than that of the mortise, except mouldings on the styles require it to be otherwise. CHEESF-ROOM, a room appropriated for the reception of cheeses after they are made. Rooms of this description should be lined round the walls, and fitted up with shelves, having one or more stages, according to the size of the room, and proper gangways for commodious passage. In places where much cheese is manufactured, the dairy-room may be placed below, the shelf—room immediately above, and lofts over the shelf-room, with trap-doors through each floor. This will save much carriage, and be very advantageous for the drying of cheeses. CHEQUERS, in masonry, stones in the facings of walls, having all their joints continued in straight lines, without interruption, or breaking joints. \Valls constructed in this manner, are of the very worst description, particularly when the joints are made horizontal and vertical. Those consisting of diagonal joints, or joints inclined to the horizon, were used by the Romans. See MASONRY and RETICULATED. CHEST, in bridge-building, the sameas CAISSON, which see. CHEVET (French), the eastern end of a church, when of acircular or polygonal form: equivalent to APSIS, which see. CHEVRON-\VORK, a zig-zag ornament, sometimes called the dancette, usual in the archivolts of Saxon and Norman arches. The outline of chevron-work is a conjunction of right lines, of equal lengths, alternately disposed, so as to form exterior and interior angles, with the exterior angles equal to the interior ones; and all the angular points in the same straight line, or in the same curve line, when they are the ornaments of arches. The lines of chevron-work are similar to what is deno- minated indented lines in heraldry, and not unlike the inden- tations or teeth of a joiner’s hand-saw; the only difference being the greater inclination of the teeth on one side than on the other; but in chevron-work, they are equally inclined to the line passing through the angular points. CHIMNEY (from the French, cheminée, derived from the Latin, caminas, borrowed from the Greek, Ira/111mg, a chimney, from Kala), [burn ), that part of a building wherein the fire is contained, and through which the smoke passes away. The chimney generally consists of an opening in, and through a wall, upwards, beginning at the floor on one side of an apartment, and ascending within the thickness of the wall, till it comes in contact with the atmosphere, above the roof of the building. The parts of the chimney, and of the wall in which it is inserted, are denominated as ftllows: The opening, facing the room, being the place where the fire is put, is termed the fire-place. The stone, marble, or plate, under the fire-place, is called the hearth. That on the same level, before the fire-place, is called the slab. The vertical sides of the Opening, at the extremities of the hearth, forming also a part of the face of the wall of the apartment, are called jambs. The head of the fire-place, resting at its extremities on the jambs, presenting one face vertical in the surface of the wall, and another towards the hearth, is called the mantel. The whole hollow, trom the fire-place, to the top of the wall, is denominated thefannel. That part of the funnel which continually contracts, or diminishes in its horizontal dimensions, as it ascends, is termed the gathering, or by some, the gathering of the wings. The long narrow prismatic tube, over the gathering, or that part of the funnel which has its horizontal dimensions the same throughout the altitude of the chimney, is called theflue. That part between the gathering and flue, is denominated the throat. That part of the wall which faces the apartment, and forms the side of the funnel parallel thereto, or that part of the wall which forms the sides of the funnels of several tire- places, is called the breast. In an outside wall, the side of the funnel opposite the breast, is called the hach. When there are two or more chimneys in the same wall, the divisions between them, or the solid parts of brick. stone, or metal, are called 'u‘iths. A gable, partition, or party—wall, containing a collection of chimneys, is termed a stack of chimneys. The turret above the roof, for discharging the smoke into the air, of one, two, 0‘ a collection of chimneys, is called the chinmez -shqft; and the horizontal surface, or the upper part of the said shaft, the chimneg-top. “'hen the parallel sides of the jambs are faced with stone, marble, or metal, so as to form four obtuse angles, \‘iz., two internally with the back, and two externally with the breast or side of the apartment, making the horizontal dimension of the outside of the fire-place of greater extension than that of the back, the facings are called cm'ings. 1n stone walls of ordinary buildings, the most common dimensions for the sections of the fines of sitting-rooms are from twelve to fourteen inches square, and for the brick- work, nine by fourteen inches. The section of the flue must, .__.___.__~,..~\ __ Mgfiwu. .‘fi CHI “5 CHI however, be proportioned to the section of the fire, which when found necessary to vary from ordinary cases, should be equal to the said horizontal section of the fire, or nearly so. To prevent smoke, the chimney ought to be so constructed, that a current of air may pass immediately over the fire, so as to be rarefied in its passage, and not to pass entirely through the fire, as many have erroneously imagined. For this purpose, the throat should be so near to the fire, as to prevent the cold air from passing over it, and 1ts horlzontal dimension in the thickness of the wall should not exceed four inches and a half, or five inches at most. This contraction is to be formed by facing up the back, and beveling the covings, so that no cold air may be admitted by the ends of the fire; by thus obliging the overplus above the quantity necessary to produce combustion, to pass over the fire, it becomes so heated, as to consume the smoke in part, and to drive the remaining portion before it, with cele- rity and violence. The covings are in general placed at an angle of one hundred and thirty-five degrees with the back and breast, and should be made to form an abrupt plane on their top, so as to break the current of a sudden gust of wind. The greater the quantity of rarefied air that passes up the flue, and in general the higher the chimney, the more celerity and force will it ascend with. The flue ought, therefore, to be carried as high as conveniency will admit. To prevent the absorption of heat, the back and covings should be constructed of white materials, or, if not, they should be covered with plaster, and whitened as often as they become black, and thus they will reflect a greater quan- tity of heat. Most metals absorb the heat, and are therefore unfavour- able for this purpose. The back and covings are most conveniently put up after the house is built. The introduction and general use of “ registers,” has obviated any difficulty in this respect; they form a great improvement on the old method. Some of the principles in the construction of chimneys are very well ascertained, others are not easily discovered till tried. The tops of flues should not have such wide apertures, as to permit a greater quantity of air to rush down the chimney, and counteract the force of the ascending rarefied stream. Smoky chimneys are frequently occasioned by the situation of doors in a room, the grate being placed too low, or the mantel too high. There are many cases in which it is not easy to discover the cause; but if once known, it may be easily removed. Flues with circular sections are, with some reason, sup- posed to be more favourable for the venting of smoke, than those whose sections are square or rectangular. There is much difference of opinion as to the origin of chimneys. They do not seem to have been in use among the classics, as they are not found, as VVinkelmann informs us, amongst the ruins of Herculaneum, although coals have been discovered in some of the rooms, from which he conjectures that. the Romans used charcoal fires; Mr. Lysons, however, describes a fire-place, which he found in one of the rooms of the Roman villa at Bignor, in Sussex. There does not seem to be any evidence of the use of chimneys in England before the twelfth century, when we meet with them in the castles of Rochester, Hedingham, &c., also in a Norman house at Winwall in Norfolk, in these cases, however, the flue is carried up only a short distance in the thickness of the wall, and is then turned out at the back, the apertures being small oblOng holes Shortly afterwards we meet with flues carried up the whole height of the wall, as at the castles of Conis- borough, Newcastle, Sherbourne, &c., as also at Christ 2 r ___.______‘. M“... W. Church, Hants. At this period the shafts were carried up to a considerable height, and are generally circular; in after times the forms varied considerably, and terminated fre- quently with a spire, pinnacle, or gable, with apertures of ornamental forms in the sides underneath for the escape of the smoke. During the fourteenth century the shafts were very short, and of great variety of forms. In the fifteenth, the shafts were more usually octangular, sometimes square,. with the aperture at the top; at the latter end of this cen- tury we find clustered shafts, which afterwards became so common in Elizabethan buildings. These clustered chimneys are most frequently of brick, variously and elaborately orna- mented all the way up the shaft, and indeed form a very prominent and beautiful feature in buildings of this period. Fine specimens of the kind are to be seen at Hampton Court Palace, Eton College, East Basham Hall, Norfolk, and all the larger buildings of the Elizabethan style; examples in stone, though more rare, exist at Bodiam Castle, Sussex, and on houses at South Petherton and Lambrook, Somer- setshire. CHINESE ARCHITECTURE, that which is used by the inhabitants of China, and employed in their temples and other edifices. It would be very difficult to give such a definition as should point out the species of architecture practised by the Chinese; we must therefore have recourse to the descriptions of those who have drawn and actually measured their edifices with care. To the attainment of this, our materials are few. Sir William Chambers is the only author we are acquainted with, who has given representations of Chinese edifices from measurement, and who was able to discriminate, as an architect, those characteristic forms by which it is distinguished from other species of architecture, and to mark out its peculiar features. In his preface he observes: “ To praise too much or too little, are two excesses which it is equally difficult to avoid. The knowledge of the Chi- nese, their policy and skill in the arts, have been praised without bounds ; and the excessive encomiums that have been given them, show with What force novelty strikes us, and how natural it is to pass from esteem to admiration. “ I am far from joining in the over-strained eulogies of the Chinese. If I find among them wisdom and sublimity, it is only when I compare them with the people that surround them; nor shalll put them on a parallel with the inhabitants, either ancient or modern, of our quarter of the world. At the same time, we must acknowledge, that our attention is due to this distinct and singular race of men, who, separated from the polished nations of the world, have, without any model to assist them, been able of themselves to mature the sciences and invent the arts. “ Everything that regards a people so extraordinary, has a claim to our attention; but though we are pretty well instructed in most things respecting them, we are very little so in their architecture. Many descriptions that have been hitherto given us of their edifices, are unintelligible, the best give but indistinct and confused ideas of them, and none of the drawings deserve the least attention. “ Those which I at present offer to the public, are drawn from sketches and measures that I took at Canton some years ago. I took them merely to satisfy my own curiosity. I had not the least intention to publish them; and they would not have appeared at present, had I not yielded to the solicita— tions of several amateurs of the fine arts. They have thought them worthy of the attention of the public, and that they might be useful in stopping the course of those extravagant productions, that appear every day, under the name of Chi- nese; although the most part of them are pure works of CHI fancy, and the rest only mutilated representations that have been copied from porcelain and various paintings on paper. “ What is really Chinese, has at least the merit of being original. Seldom, or never, have this people copied or imitated the inventions of other nations. Our most authentic accounts agree on this point. Their government, their cus- toms, their dress, and almost everything else, have continued unchanged for thousands of years. Their architecture has, besides, a remarkable resemblance to that of the ancients; and this is the more surprising, as there is not the least pro- bability that the one has been borrowed from the other. “In the Chinese architecture, as well as that of the ancients, the general form of almost all their compositions tends to that of the pyramid. In both, the columns serve for supports, and in both the columns have diminutions and bases, which in many respects are similar. The entrelas, so common in ancient edifices, are often seen in those of the Chinese. The ting of the Chinese differs but little from the peripteron of the Greeks. The atrium, and the monopterous and prostyle temples, have a considerable resemblance to some among the Chinese; and the manner in which they construct their walls is on the same principle with the revinctum and emplccton, described by Vitruvius. There is, besides, a great resemblance between the utensils of the ancients and the Chinese; both are composed of similar parts, combined in a similar manner. “ It is by no means my intention, in publishing a book on Chinese architecture, to bring in vogue a taste so inferior to the ancient, and so little suited to our climate. But the architecture of one of the most extraordinary people of the universe offers an interesting phenomenon to a lover of the fine arts; and an architect ought to be acquainted with so singular a manner of building. The knowledge of it is, at least, curious; it may even be useful on particular occa- sions. An architect is sometimes asked for Chinese compo- sitions; and, in certain cases, they may be judicious. For though, in general, the architecture of China is not suitable [to Europe, yet, in parks and gardens, where the extent demands a great variety, or in large palaces that contain numerous enfilades of apartments, I do not think that it would be improper to decorate some of the most inconsiderable pieces in the Chinese taste. Variety never fails to please, and novelty, when there is nothing disagreeable or shocking in it, often holds the place of beauty. At the time that the Greek architecture prevailed the most among the Romans, history informs us that Adrian, wno was himself an archi- tect, erected, at his country seat at Tivoli, several buildings in the style of the Egyptians and some other nations. “ The grandeur or the richness of the materials is not the distinguishing characteristic of the Chinese edifices. But there is a singularity in their manner, a justness in their proportion, a simplicity, sometimes even a beauty, in their form, that deserves our attention. I look upon them as gew- gaws in architecture; and if singularity, prettiness, or neat- ness in the work, give a place to trifles in the cabinets of the curious, we may likewise introduce Chinese buildings among compositions of a better kint .” Sir William has above noticed the pyramidal form of Chinese structures, and indeed the similarity of the architec- ture of this extraordinary people with that of all the early nations in this respect, is worthy of notice ; yet the resem- blance of their buildings to tents is even more remarkable, so striking indeed is it, that some travellers have compared their cities to vast encampments. The Chinese, like all the Tartar tribes, were a nomadic race ; and doubtless in their wander- ings were accustomed to employ tents, coverings portable and readily erected, to defend them from the heat and inclemen- 1'16 CHI cies of the weather, and when they settled permanently, pre- served the same form in the construction of their dwellings. The construction of their buildings is indeed remarkable, and tends to confirm the foregoing statement ; for, as Mr. Gwilt remarks, “though the carpentry of which they are raised has for ages been subjected to the same forms, when we con- sider the natural march of human invention, especially in cases of necessity, we cannot believe that, in a country where the primitive construction was of timber, the coverings of dwellings would have been at once sosimple and so light. Their framing seems as though prepared merely fora canvas covering. Again, we have, if more were wanting, another proof, in the posts employed for the support of their roofs. On them we find nothing resting analogous to the architecture for receiv- ing and supporting the upper timbers of the carpentry; on the contrary, the roof projects over and beyond the posts or columns, whose upper extremities are hidden by the eaves, thus superseding the use of a capital. A canvas covering requires but a slender support, hence lightness is a leading feature in the edifices of China; whilst other materials than those which formed tents have been substituted for them, the forms of the original type have been preserved, making this lightness the more singular, inasmuch as the slightest analogy between those of the original and the copy is imperceptible. This change of material prevents in the copy the appearance of solidity, and seems a defect in the style, unless we refer to the type.” Another peculiarity which strikes the European upon first beholding a Chinese city, is the gaiety of their buildings, arising from the prevalent application of colour. Their roofs are composed of coloured and glazed tiles, their floors of variegated stone or marble, and their porticos not only coloured with the brightest tints, but also profusely varnished, all uniting to produce an effect altogether different from that presented by all other styles. Sir \Villiam then proceeds with the work as follows: “ T/ze Temples of the C/zinese. A great number of tem- ples are to be seen at Canton. The Europeans call them commonly pagodas. Many of these temples are extremely small, and consist only of one single apartment. Some others have a court, surrounded with galleries, at the end of which is a tiny, where the idols are placed; and there are a few, which are composed of many courts, surrounded with galle- ries. The bonzes, or priests, have cells there, and the idols different halls. These are properly convents, and some of them have a great number of bonzes, who are attached to them by particular vows, and who live in them in the exact observance of certain rules. “ The most considerable of these pagodas is that of Homing, in the southern suburb, Plate 1., Figure 1. It occupies a great extent of ground; and accordingly it contains, besides the tem- ples of the idols, appartments for two hundred bonzes, hospi- tals for many animals, a large kitchen-garden, and a burying- ground. The priests and animals are buried promiscuously, and equally honoured by monuments and epitaphs. “The first object that presents itself, is a court of con- siderable extent. In it are three rows of trees, which lead to an open vestibule, A, to which the ascent is by a few steps, 8. From this first vestibule, we pass to a second, C, wherein are four colossal figures in stucco; they are seated, and hold in their hands divers emblems. This vestibule opens into another large court, D, surrounded by colonnades, E. and cells for the bonzes, F. Four pavilions, G, are placed in it, on socles. These pavilions are the temples; the two stories, of which they are composed, are filled with idols, and the bonZes perform their religious service in them. 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OUII‘OO-00000bucitr CHI 147 CHI bonzes have their apartments; and under these columns, between the cells, are four halls, I, occupied by idols. “ On each side of this great court are two other small courts, K, surrounded with buildings. One is for the kit- chen, L, and for the refectories, M; the other serves for the hospitals, N, of which we shall speak. “ I do not give the elevation of the great court, because it could not have the suitable dimensions, without occupying at least three plates. The pavilions are of different forms; but they all present a very similar appearance, and the pro- portions between the colonnades and the pavilions are also nearly the same. The boxes or cells of the bonzes are of stone, they are very small, and admit no light but by the door. The bodies of the pavilions are built of the same material, and the columns which surround them, as well as the colonnades, are of wood, having bases of marble. All the buildings are covered with tiles, made of a coarse kind of porcelain, painted green, and varnished. “The same plan is observed in all the temples of this kind ; and by detaching from them the three pavilions that occupy the middle of the great court, we may form an idea of the manner in which Chinese edifices of great extent are planned, or laid out. The imperial palace, those of the princes of the blood, the palaces of the mandarins, the Kong Quaens, or colleges of letters, are all disposed nearly in the same manner; the principal difference consists in the number and extent of the courts. “ The edifices that the Chinese make use of for religious purposes, are not, like those of the ancients, of any appropriate form; the particular kind of construction that they call ting, or ltong, enters indifferently into all kinds of edifices, they are seen in almost all temples, in all palaces, above the gates of towns, and, in short, in all buildings where they wish to show magnificence. “ I have seen, in several quarters of Canton, four different kinds of tings. The three first are found in temples, and the fourth in many gardens. “The most common form in these temples is seen in Plate 1., (see Chambers’ work ) It is a pretty exact copy of the ting of the Nagada of Cochin-china, in the eastern suburb. I have measured many buildings of this kind; but have found so much difference in their proportions, that I am inclined to think the architects, in that particular, follow no exact rule, but that every one varies the proportion according to his fancy. “ In the drawing that I have given, the edifice is, as they all are, raised 011 a base ; the ascent to it is by three steps. It is a square, surrounded by a colonnade of twenty columns, which support a roof surmounted by a wooden balustrade, which contains a gallery, or passage, surrounding the whole sceond story. “The second story has the same figure and the same dimensions as the first. It is covered with a roof, of a con- struction peculiar to the Chinese; the angles are enriched with ornaments of sculpture representing dragons. “ The breadth of the edifice, measuring it from the exte- rior surface of the columns, is equal to the height ; and the diameter of the body of the building takes two-thirds of the breadth. The height of the order makes two-thirds of the diameter of the body, and the height of the second story is equal to two-thirds of the height of the first. The columns have in height nine of their diameters, the bases two, and the beams and brackets, which hold the place of capitals, only one. That is also the elevation of the entrelases, which make the turn of the colonnade under the first roof, and which forms a kind of frieze. “ The second kind of ting differs so little from that which I have just described, that it has not appeared to me neces- sary to give a drawing of it. The first story is the same, and all the difference of the second, is, that it is neither sur- rounded with a gallery nor with a balustrade, and that the roof which covers the colonnade comes close to the wall. “ The third kind is represented, Plate I., Figure 3. This drawing has been taken from several edifices of this kind; and particularly from one of the pavilions of the pagoda of Honang. The first story differs little from that of the first ting,- but the second has columns on two of its sides, which stand out and form covered galleries. I have seen, in some of these buildings, a continued colonnade all round the second story; but the form was not so agreeable to the sight as that which I have represented. “ There is very little difference between the proportions of this drawing and that of Plate I. The columns of the first story are, in height, eight of their diameters, and the bases one. All the columns, except those of the corners, have eight brackets at the top of their shafts, which form a kind of very clumsy capitals. This ornament, very common in Chinese edifices, is not at all pleasing to our eyes. The columns of the second orders are in diameter about four-fifths of the diameter of the first. Their height is six diameters and a half, and they are without bases. Under the second . roof is seen an entrelas all around, composed of circles and squares. The corners of the two roofs are enriched with ornaments, which represent monsters and foliage; and the top is ornamented with two dolphins at the two extremities, and in the middle with a great fleuron resembling a tulip. “ These three forms are more frequent than any other in the temples of China, and especially in those of much extent. For the small temples they often use the model shown in Plate 1., Figure 2. Sometimes, as may be seen in that drawing, the edifice is shut before by movable gates, having four columns that advance in the manner of pro—style temples. At other times the building is quite open in the front, and has simply four columns that support the roof. “ I have seen at Canton some other forms of temples; but none of them appeared to me worthy of representation except two little buildings, of wood, raised in the courts of one of the pagodas of the western suburb. (Figures 2 and 3, of Plate III. he gives the plans of them.) These are two pavilions, that cover two iron vases, that the Chinese use in the sacrifices of gilt paper, which they make to their idols on festival days; they are both octagons, and composed of eight columns, which support a roof surmounted with a lamp, and other ornaments, which are represented in the drawing. Figure 3, is a little raised, and surrounded with steps. The columns have bases of a profile little different from the attic. A frieze charged with inscriptions in large Chinese characters, surround the space between the columns under the roof. The lantern has eight sides, it is covered with a roof in sima inversa, and on the top is seen an ornament consisting of a small globe surrounded with leaves and flowers.” Figure 2, “is raised on a socle, and surrounded with an entrelas of masonry. There are no bases to the columns, and under the first roof is seen an ornament composed of interwoven lozenges. The lamp has eight little columns, without bases or capitals, which support a conic roof, orna- mented with eight dolphins, each of which rests on one of the columns. The top of the building consists of a pierced ball, whose top ends in a flower. “ The proportions of these little temples may be deduced from the scale that I have annexed to the drawings.” “ Towers, or Tarts—The Chinese give the name of taa to their towers, and the Europeans call them (as well as temples) pagodas: they are very common in China. Du C 11 I Halde says, that in some provinces they are in every city, and even in every considerable village. The most remarkable of these edifices are the famous porcelain tower of Nang-king and that of Tong-chang-fou. They are both very magnificent. “The form of these taas is pretty uniform: they are octagons, divided into seven, eight, and sometimes ten stories, which diminish gradually both in height and breadth, from the base to the top. Every story has a kind of cornice, which supports a roof, at the corners of which are hung copper bells, and is surrounded with a narrow gallery bor- dered with a balustrade. These edifices have commonly a long pole at the top, surrounded by several circles of iron, supported by eight chains, tied by one end to the top of the pole, and by the other to the angles of the roof of the highest story.” The origin and objects of these towers have been the cause of much discussion amongst European antiquaries, nor has the question been as yet satisfactorily settled, some considering them as merely commemorative, some as campaniles or belfries, some as landmarks and beacons, while others assert that they are sepulchral, and produce as a confirmation of their opinion the discovery of a stone coffin fitted in the pedestal of the tower of Ardmore. Vallency affirms that they were fire- towers erected to Baal, while others no less learned identify them with the round towers of Ireland. This last idea may appear extravagant at first sight, yet upon further examina- tion it will be found equally as reasonable as any of the preceding. The Irish towers are generally believed to be of Celtic origin, erected by the same hands as the structures of Stonehenge, and others similar to them scattered over the British Isles; now, strange to say, we have the same class of erections in China, in the province of Keang-nan, and in a locality famed not more for its romantic scenery than its ancient legends: here we find not only the monolithon, or single upright column, the counterpart of those already described under Celtic Architecture; but even the most per- fect form of Druidical structures, the circle, and several of the intermediate erections, proving without doubt the connection between them, and the remains of Celtic erection in the remote west. Add to this, that towers are found in close proximity with such structures, and it must be allowed that their supposed identity with those of Ireland is not indulged without some reason. Plate III. Figure l, “ represents one of these towers, which are found on the banks of the Ta-ho, between Canton and Hoang-pou. It is approached by three steps, and consists of seven stories. gates, and contains an octagonal chamber, in the middle of which is a staircase conducting to the second story. The stairs of the other stories are placed in a similar manner. The cornices over the several stories are all alike, consisting of a fillet and large cavetto, enriched with representations of shell-fish ; an ornament as common in the edifices of China, as in those of the ancients. The roofs are turned up at the corners, and, with the exception of the lowest, are ornamented with leaves and bells. The pole on the top is surmounted with a globe, from which descend chains, that are fixed to the angles of the highest story, and around them are nine iron hoops. I have not set down the stairs of the different stories in the drawing, to prevent confusion.” The porcelain tower of Nan-king is octagonal in plan, forty feet in diameter, and consists of nine stories, diminishing in size as the structure rises, and surmounted with a cupola and gilded ball. From this ball arod of iron rises, and from its highest extremity eight chains descend, from which seventy- two bells are suspended. Each story is covered by a projecting roof of coloured tiles, and the total height of the building is 148 The first story is pierced with four arched -AA n~___~_._4. . CHI variously estimated at three hundred and forty-six, two hun- dred and fifty-eight, and two hundred and thirty-six feet. “ The inner part or body of the walls,” says Mr. Wright, “is brick, but the inside lining and the facing without, of beautiful white glazed porcelain slabs, fixed in the masonry by means of deep keys, cut likea half T in the brick. The projecting roof of each story consists of green and yellow porcelain tiles in alternate perpendicular rows ; and running up each angle, is a moulding of larger tiles glazed and coloured red and green alternately. From each story pro- jects a balcony, enclosed by a light balustrade of green porcelain, upon which open four doorways, set to the cardinal points, their arches being elegantly turned with glazed tiles, cast in all imaginable fancies of design, and variation of colour, representing deities, demons, and monsters of all descriptions.” Bells are suspended from dragons’ mouths at the angles of every story, making with those attached to the chains of the cupola, a total number of one hundred and fifty-two. “ Several otherforms of buildings used in China—I have given descriptions of three kinds of tings, that I saw in different temples at Canton. It remains for me to speak of a fourth kind, which is found in gardens. These edifices are in general composed only of twelve columns, raised on a socle, which serve to support the roof. “ The building that served me for a model, was placed in the middle of a small lake, in a garden in China; its singularity made me give it the preference. “ The base that supports it is pretty high. A balustrade surrounds it. The bases of the twelve columns of this pavilion have a profile very similar to that of a Tuscan base of Palladio. The roof, which rests on these columns, is crowned with a lantern. The idea of this ornament is taken from those which surmount the towers. The tops of the shafts of the columns are pierced by beams that support the roof, having their extremities ornamented with little grotesque heads and bells. A frieze ornamented with an entrelas, goes all round, under the roof, in the spaces between the columns.” Sir William describes another pavilion thus: “ It is the same with that of a temple with one wing; but the elevation is different. It is composed of ten columns, which support a roof and a lantern, covered in the form of a cone, and terminated by a ball. “ The paylous, or triumphal arches, are very common in China. There are many in Canton; but none, that I have seen, have any beauty. “ IIouses of the Chinese—T he distribution of their houses is perfectly uniform; and it would be improper, and even dangerous, for an individual to depart from the general mode. Le Compte tells us of a mandarin, who having built a house higher and more beautiful than those of his neighbours, was accused before the Emperor, and, fearing the consequence, he pulled down his house, without waiting for the sovereign’s decision. “The Chinese lay out more than half of the ground occupied for their houses in courts and narrow walks; those of the merchants of Canton, which are close by the water, are narrow and very long; but there is no difference in the disposition of their interior. The level ground is crossed in its length by a broad walk, passing through the middle, and stretching from the street to the river. On each side are the apartments, consisting of a saloon for receiving visits, a bed-chamber, and sometimes a study, or closet. Before each set of apartments is a court, having a tishpoud, or cistern, at its extremity, containing an artificial rock in the middle, whereon grow bamboos and several other kinds ol ~ 119 I . QEHNHS 3333 ARM? Eilfl'fl‘flif’fi‘HTREn 1’0”?”- TRIUMPHAL ARCH. HOUS'E DEL SHOP. .::nmiiumm fQJ. [—1 q... ._; ._,M_ ._-.- .uleJ I‘ I1 €17.33 H“ A E’ 12,] N “(M ii HHH' El BETTI‘ ("HEEL 4 ”W! TENG AND J’CBLHSHU‘TC‘ COMPANY ,, LIMITED mm! 1” ml! will Ill‘llllmll v | Ml [2472' Ill. max ,, . *4": 43¢ ‘9 CHI 149 CHI plants; all which form a miniature landscape, of picturesque appearance. Some of the fish are so familiar, that they come to the surface of the water, and allow themselves to be‘fed with the hand. The sides of the courts are ornamented sometimes with flower-pots, and sometimes with shrubs in flower, vines, or bamboos, forming green arbours. In the middle, upon a pedestal, a large porcelain vase is generally placed, filled with those beautiful flowers, called lzen-koa. They also frequently keep in these little courts, pheasants, bantam-hens, and other curious birds. “The great chamber, or saloon, is commonly from 18 to 20 feet in length, and about 20 feet in breadth. The side which looks to the court, is entirely open; but a screen of :anes, which is let down at pleasure, keeps out the rain and the rays of the sun. The pavement is composed of pieces of stone or marble, of several colours. The side walls are covered with screens, to the height of three or four feet from the ground; and the upper part is neatly decorated with white, crimson, or gilt paper. “Instead of paintings, the Chinese hang up large pieces of satin, or of paper, set in frames, and painted in imitation of marble or bamboo, on which are written, in characters of azure blue, proverbs and distichs of morality, taken from the principal Chinese philosophers. They also sometimes have leaves of white paper, quite smooth, containing large charac- ters, traced by some skilful hand, in China ink ; this orna- ment is much esteemed. The bottom of the drawing-room is composed of folding-doors, over which is a lattice, covered with painted gauze, for the admission of light into the bed- chamber. The doors, which are of wood, are of very neat workmanship, ornamented with different characters and figures, and sometimes richly varnished and painted red, blue, yellow, or some other colour. “In the middle of the lower part of the chamber, and above a table which contains various ornaments, a very large leaf of thick paper is frequently suspended, covered with ancient Chinese paintings of different figures, enclosed in squares. The Chinese have a great veneration for these ornaments, under the idea that the painters were inspired; and the connoisseurs pretend to distinguish the hands of the several masters, and give a very great price for such as pass for originals. I have seen many of these paintings: they usually consist of landscapes or figures, drawn with China ink, on white paper. In general they are touched with spirit, but they are too incorrect, and too little finished, to deserve much attention. “ The furniture of the large room consists of chairs, stools, and tables, made of rosewood, ebony, varnished wood, and sometimes simply of bamboo, which, though cheap, is very neat. When the furniture is of wood, the tops of the stools are often of marble or of porcelain; and though such seats are very hard, they are very agreeable in a climate where the heat of the summer is excessive. On small tables, or stands, four or five feet high, placed in a corner of the room, are seen dishes of citrons, and other odoriferous fruits, branches of coral in porcelain vases, and glass globes containing gold- fishes, with a kind of herb something similar to fennel. They also decorate their tables, which are made only for ornament, with small landscapes, 'composed of shell-work, plants, and a kind of lily that grows among pebbles covered with water. They have also artificial landscapes, made of ivory, crystal, amber, pearl, and precious stones. I have seen some that cost a thousand taels, (more than three hundred guineas), but they are mere toys, and wretched imitations of nature. Besides these landscapes, the tables are ornamented with porcelain vases of various kinds, and small copper vessels, the latter of which are much esteemed. The forms of these 2 Q vessels are generally simple and agreeable; the Chinese say they were made two thousand years ago, by some of their most celebrated artists; and such as are really antique, (for there are some counterfeits ), sell at an excessive price; one . of them sometimes costs no less than three hundred pounds. They are kept in small pasteboard boxes, and are only shown on great occasions; nobody touches them but the master, and, to keep them clean, he brushes them from time to time with a hair-pencil, made solely for the purpose. “ Lamps form the most prominent ornaments of the cham- bers; there are generally four of them hanging from the ceiling, by cords of silk. They are of various shapes, as square, octagon, &c., and are composed of an extremely fine silken stuff; decorated with very neat drawings of flowers, birds, and landscapes. “A partition of folding-doors separates the large room from the bed-chamber. I have already observed, that, in warm weather, these doors are left open all night, for the admission of cool air. The chamber is very small, and has no other furniture than the bed and some varnished clothes- trunks. The beds are sometimes extremely magnificent: the bedsteads, or frames, which very much resemble those of Europe, are of rosewood engraved, or of lackered wood; the curtains are of taffety, or gauze, sometimes flowered with gold, and commonly dyed blue or purple. A band of embroidered satin, about a foot in breadth, goes round the whole top of the bed; the emboidery is in compartments, of various forms, and represents flowers, landscapes, or human figures, accompanied with moral sentences and fables, written with China ink and vermilion. “ By the side of the bed-chamber is a passage, leading to the cabinet, which is always enclosed by walls, and lighted by windows. The walls are ornamented, like those of the saloon, with moral sentences and antique pictures; the fur- niture consists of arm-chairs, settees, and tables. The books are disposed on shelves, and on a table near the window, lie the pencils, and other things necessary for writing, the instruments used for arithmetical calculations, and some select books, all laid out in great order. “ Besides these apartments, there are also the dining-room, the kitchen, the apartment for the domestics, the bath, the privy, the office, or counting-house, and, towards the street, the shop. “ Such is the distribution of the houses of all the mer- chants at Canton. Those of other people only differ in having their general plan accommodated to the ground on which they are built: for the apartments, the courts, and other conveniences, have everywhere the order just described. “ The Icon, or upper-story, consists of many great halls, occupying all the breadth of the house, above the apartments of the ground-floor. They are used occasionally as cham- bers, for lodging strangers. In every house there is a number of shutters, two or three feet broad, and ten or twelve feet high. When they wish to make chambers, they fix these shutters to the floor and ceiling, and in a few hours make as many apartments as they wish. Some of these shutters are cut from the top to within four feet of the ground, and the openings filled with very thin oyster-shells, which are suffi- ciently transparent to admit daylight. All the windows in China are made of these shells. “ In one of these great halls, and commonly in that next the door, the image and altar of the domestic idol are placed, so that all who enter may see it. The rest of the second story is divided into apartments for the family; and over the shops are the rooms for the shop-keepers. “ The sides of the Chinese houses next the street, are altogether plain,'or employed as shops. There is no opening CHI 160 CHO except the door, before which a mat is hung, or a screen is placed, to prevent passengers from looking m. The houses of the merchants of Canton have a very gay and handsome appearance towards the river. “ The materials used for building are wood and brick. The latter are either simply dried in the sun, or baked in an oven. The walls of the houses are commonly about eighteen inches thick, and the bricks, which are about the size of our own, are used in the following manner: the masons place three or four beds at the foundation, entirely solid ; after which, they dispose their bricks alternately length and breadthwise, along the two sides of the wall, so that those laid across touch one another, and occupy the Whole breadth, but those placed lengthwise have a space between them; on this layer, or bed, a second is laid, with all the bricks length- wise, and the joinings of the cross-bricks in the first layer, are covered with a whole brick in this. The work is thus continued, alternately, to the top; and by this means, the expense of work and time, as well as the weight of the wall, are very much diminished. “ The tiles that cover the roofs, are plain and semi—cylin- drical; the latter are laid on the joinings of the former, and the manner in which they are supported, is represented in Plate III. The Chinese, like the Goths, always let the wood appear withinside the eeiling;~for which reason, the beams and columns are frequently made of precious wood, and sometimes they are richly inlaid with ivory, copper, and mother-of-pearl. “ Various kinds (3)" columns used by the Chinese—Columns are at least as common in Chinese edifices as in those of the Europeans. They support the. roof, and are commonly made of wood, with bases of stone, or marble, having no capitals; but, instead, the top of the shaft is crossed by the beams. Their height is from 8 to 12 diameters, diminishing gradually towards the top, while the lower part of the shaft terminates in an ovolo, producing an effect just the reverse of the terminations of the ancient columns. This peculiarity is observable in the drawings of the Antiquities of Egypt, pub- lished by Captain Norden, some time ago. The bases show a great diversity of profile; none of them are very hand- some, but the most regular that I have seen, are the six represented in Plate III.” See Chambers’ Wrork. Figure 2, No. l, “is taken from the eolonnade that sur- rounds the court of the pagoda of Cochinchina: the column is about seven diameters in height, and the base one. This profile is very common.” Figure 2, No. 2, “is taken from one of the temples of the same pagoda, represented in Plate I. It is the only place where I have seen this kind of column. They are about nine diameters high, and their base two.” Figure 3, “is taken from the colonnade of the great court of the pagoda of Honanrr. The height of the column is nine diameters, and that of the base one. The ends of the beams are ornamented with heads of monsters, terminating in foliage, and the brackets that support them come out of the mouths of grotesque heads, out in half-relief on the columns.” Figure 4, “is taken from a little pagoda in the eastern suburb of Canton. The height of the column is eight dia- meters and a half, and that of the base three-fourths of the diameter. The ends of the beams represent heads of dragons, and all the wood-work of the ceiling is ornamented with mon- sters and foliage, in inlaid work of copper, ebony, ivory, and mother-of-pearl.” Figures 5 and 6, “the transverse elevation of Figures 3 and 4.” figure 7, “is seen in almost all the houses of the Chinese. Their height is from 8 to 12 diameters, and sometimes more; that of the base is from one-half to two-thirds of the diameter. The profile resembles one of the Tuscan bases of Palladio.” Figure 8, “is found in almost all the pagodas, with some little varieties. The model from which I have taken my drawing, is in a little pagoda, in the street where are the European factories. The columns are octagonal, and of stone. Eight diameters of the circumscribed circle make the height; and they have no diminution toward the base. The bases are the most regular that I have seen in China, and much resemble the attic base of the ancients. Their height is equal to double one of the sides of the column. “ The particular divisions of all these profiles are marked at the side of each drawing. “The insides of the temples, represented in Plates I. and II. (see Chambers,) are quite plain; having no orna- ments beside the idols. The buildings represented in Plate II. Figures 3 and 4, have no ceilings; the beams which support the roofs are seen; and their joinings are according to the principles of that in Plate III. The interior of the tower in Plate III. is also quite plain.” We must not omit to mention the Great Wall; it consists of an earthen mound supported on each side by walls of brick and masonry, the thickness of the whole being twenty- five feet at the base, diminishing to fifteen at a height of fifteen feet, which is the level of the platform; but this platform is defended on either side by a parapet five feet in height, thus making the total height of the wall twenty feet. At intervals of about two hundred paces are towers, rising to a height of thirty-seven feet, and measuring forty feet square at the base, and thirty feet at the top; there are however some larger towers, which consist of two stories, and are about forty-eight feet in height. This wall is carried round a great portion of the empire, passing over in its way mountains, valleys, and rivers, and is altogether fifteen hundred miles in length. CHIP, a small piece cut away from any material, by an acute-angled instrument. CHISEL, an instrument used in masonry, carpentry, and joinery, and also by statuaries and carvers, for cutting, either by the impulse of pressure, or of the blows of a mallet or hammer. There are several kinds of chisels used in car- pentry and joinery; as, the former, the paring-chisel, the gauge, the mortise-chisel, the socket-chisel, and the ripping- ckisel. These names they have obtained from the uses to which they are respectively applied. See TOOLS, TOOLING. CHISELED WORK, in masonry, stones that have a chiseled surface. CHIT, an instrument for cleaving laths. CHOIR, (from xopog, Greek, chorus ;) that part of the church in which the choir or singers are located, and the services for the most part performed. The term is some- times made equivalent to chancel, and defined as that portion of the building eastward of the nave appropriated to the priests, but incorrectly so, as the choir does not extend to the extreme east. The fourth council of Toledo directs “the priests and deacons to communicate before the altar, the inferior in the quire, and the people without the quire ;” thus making a distinction between the choir and sanctuary, or division in which the altar stood. In fact, the chancel is divided into two parts—the choir, and the presbytery or sanctuary; the former containing the singers and inferior ministers; the latter the altar, and the superior officiating clergy. The choir was at the western end of the chancel, separated from the nave by one or more steps and the road screen, and from the sanctuary by steps only; it contained seats or stalls on either side, which were returned sometimes on the western extremity in front of the screen, the returns always CHU 151 CHU facing the altar: in large churches, there are generally two or three ranges of such stalls rising a step or two in succes- sion above each other. When there are aisles at the sides of the choir, which is generally the case in cathedrals and the more important churches, they are separated from it either by a screen of open work, or by the stalls being carried up to a considerable elevation; the latter method is more usual in cathedrals, where the higher stalls are canopied, and enriched with tabernacle work: In our cathedrals, the choir is situate more generally to the east of the tower, but is sometimes seen under the tower, as at York and Winchester. The choir was originally separated from the altar, and elevated in the form of a theatre, enclosed all round with a balustrade: on each side was a pulpit, from which the epistles and gospel were sung; as may still be seen, at Rome, in the churches of St. Clement and St. Pancratius, the only two remaining in the original form. It was separated from the nave in the time of Constantine, and enclosed with a balustrade, covered with curtains, which were not to be opened till after the consecration. In the twelfth century, the choir was surrounded with walls. In nunneries, the choir is a large hall, adjoining the body of the church, but separated by a grate, where the devotees chant the service. CHORAGIC MONUMENT of Lysicrates, at Athens. See MONUMENT OF LYSICRATES. CHORD, the extent between the two extremities of an arch. CHRISTIAN ARCHITECTURE, a designation applied by some to Gothic art exclusively, but in our opinion, unreasonably; because, although Gothic is doubtless the perfection of Christian art, and the best adapted for religious purposes, and in that respect more fairly entitled to the name than any other style, still we think all others ought not to be excluded from the title, since some of them, such as Byzantine and Lombardic, owe their origin entirely to Christianity, and were never profaned by being applied to pagan usages. The term ought to include all styles of building invented by the Christians, and adapted to religious purposes, differing essentially from pagan architecture. CHRONOLOGICAL COLUMN. See COLUMN. CHURCH, (Greek, Kvptov oucog, the Lord’s house,) a Christian edifice set apart for the public celebration of divine service. Churches vary in size, magnificence, and architectural features, according to their rank and situation; and are denominated accordingly: thus we have metropolitan, patriarchal, cathedral, cardinal, conventual, collegiate, monastic, and parish churches; for a description of which, we must refer to each separate title, more especially to CATHEDRAL and MONASTERY. Under this article we shall confine ourselves more particularly to the consideration of parish churches ; as, however, the distribution and architec- tural peculiarities of churches vary considerably in different countries, we must premise further, that we include only the parish churches of our own country. The history and pro- gress of Church Architecture in this and other countries, and a comparison of the whole, will be treated of under the title of ECCLESIASTICAL ARCHITECTURE. As there is a general similarity in the division and arrange- ment of parts in all churches of whatever date or situation, it may not be out of place at the commencement of this article, to say something of the primitive churches, as far as relates to these particulars. The earliest buildings erected for the purpose of Christian worship, or at least the earliest of which we have any account, as also the first in which Christians had an opportunity of following their own mode of construction, are those which owe their existence to the zeal of Constantine the Great; and the most ancient and most perfect model of these new remaining, is that of Saint Clement at Rome. From this and some few other structures at Rome, we are enabled to determine, to a certain extent, the form of the churches of that period ; and our conclusions derived from this source, are confirmed by Eusebius, who has left us a description of a Greek church of his own time. From these combined authorities, we learn that the plans of such buildings were either oblong or cruciform, and were divided into distinct portions as follows :—-At the entrance to the church was the vestibule or narthex, in which were stationed the catechumens and penitents of various stages, and which was frequently divided into two or more parts, each of which was destined for a different class of penitents, the outermost for those who were under the more severe censures of the church, and the innermost for the catechumens; this last division was termed vap6n£,ferula, because those who were admitted into it, began to be subject to the disci- pline of the church. These vestibules or porticos led to the nave properly so called, in which were assembled the body of the faithful; and which was divided in its width into three or more parts—a central one, with an aisle on each side of it. In the central avenue or body of the building, and at the remote end of the nave, was the choir, shut off from the other parts of the church by a rail or otherwise ; in this were the ambones or pulpits for reading, as also the seats for the choristers, and here was the greater portion of the service performed. From the choir was an ascent of steps to the sanctuary, which was of an apsidal form, having seats all round for the priests, and a more elevated one in the centre of them for the bishop, immediately in front of which stood the altar. Attached to the church, but forming a distinct erection, was the baptistery, in which persons were admitted into fellowship with the body of believers. Having thus given a rapid sketch of a primitive church, we shall pass to the consideration of our more immediate subject, begging our readers to bear in mind the preceding observations, while we describe the form and arrangement of our English churches. In speaking of our parochial churches, we would be under- stood to refer solely to those erected before the Reformation, in the styles usually denominated Gothic. This is not the place, even were argument necessary, to discuss the com- parative merits of the Italian and Gothic styles, or their adaptation to sacred purposes. The improved taste of the age has led to the preference of the latter, and there are few of the present day who would be found to question its cor- rectness. Gothic is the prevailing fashion now, as was Italian in the preceding generations; apart from this, how- ever, we think there can be no man of correct taste and unbiassedjudgment, but would prefer the quiet unobtrusive simplicity of our old parish churches, to the more pompous grandeur of those of the last two centuries. Nothing can be more diverse than the impressions conveyed by the two—— the one, solemn, subdued, and peaceful; the other, secular, showy, and luxurious : it is astonishing how completely the application of the two styles to the same general form, will change the features and general appearance of an edifice. Our parish churbhes are perfectly unique ; different from what we find elsewhere, they form quite a national charac- teristic, of which an Englishman may indeed be proud. Their origin is attributed to Archbishop Theodore, who noting the inconvenience which arose from the previous practice of sending priests from the cathedral into the neigh- bouring hamlets, adopted the plan of distributing each diocese into manageable districts or parishes, with a resident pastor to take charge of each ; he carried out his idea by instigating CI-IU 152 CHU the Saxon thanes in the erection and endowment of churches within the precincts of their own estates. The plan thus commenced, was found to be so advantageous, that lt.WaS carried out and enlarged upOn by the succeeding generations. We shall not stop here to inquire into the form and construc- tion of the earlier churches of this island, but refer the reader, as well to the articles above mentioned, as also to that on SAXON ARCHITECTURE, and proceed at once to the general description of a church. 0f the parts or divisions—T here are two parts, and only two parts, absolutely essential to a church; nave and chancel. These it must have, or it is not entitled to the designation of a church; without the former it is no more than a chapel, and without the latter, little better than a mere lecture-room. A church consisting only of the above divisions, is one of the most simple form, few, however, are found without some further additions: the first addition is that of a porch on one side of the building, forming a covered entrance into the church. Buildings consisting simply of these three parts are not unfrequent, nor devoid of beauty, although but seldom imitated in the present day. In larger churches, the capacity of the nave is increased by the addition of one or two aisles, more frequently of one on each side of the body of the building, thus dividing the nave transversely into three avenues, and affording greater accommodation for worshippers, without enlarging the chancel, as this part does not so much require spaciousness as length. In some cases it is true, the aisles were continued eastward, so as to encroach upon the chancel, and sometimes extended its whole length; the spaces thus gained, were used for the most part for chapels, and contained side-altars with their appurtenances. These chapels were dedicated, the one in honour of the Virgin, which was more frequently 011 the southern side, and the other in the name of the patron or other saint. Churches with only one aisle, are constantly to be met with. Another division of a church which we have not yet noticed, and which, though not an essential, forms a most imposing feature, is the tower; this is situated most usually at the western end of the nave, or at the intersection of the nave and transepts, when the church is cruciform; and in its most perfect and beautiful state is surmounted by a lofty spire. We have now arrived at the most com- plete form of a parish church, which consists of a nave flanked on either side by an aisle; a chancel at the east, and a tower at the western extremity of the same, with a projecting porch towards the western end of the south aisle. This is the most frequent form of our smaller churches, but not the only one; we not unfrequently find them in the shape of a cross, which is doubtless the most appropriate and expressive form that could be adopted in the erection of a Christian temple; but the simple parallelogram is on many accounts the more convenient, nor is it so greatly inferior in symbolical meaning; for while the cross plan portrays the emblem of Christianity, the latter is an evident representation of the ark in which Noah was preserved, which has ever been considered a type of the Christian church. 0f the position of Churches.—Almost all the old churches of this country range east and west, having the chance] at the eastern extremity ; nor is this merely a local peculiarity, but a universal custom ; such was the practice of all Chris- tians from the earliest ages. It is true, exceptions are to be found, but not more than sufficient to prove the rule. The church dedicated by Paulinus, bishop of Nola, to the memory of S. Felix, is an instance of deviation from the usual position, but of this it is related, that it was not built so as to face the east, “ as was usual,” but so as to turn towards another church previously dedicated to that saint; and Socrates, describing the church at Antioch, tells us, that it stood in a different posture from other churches, the altar not being at the east end, but at the west. The canonical position is ordered in the apostolical constitutions. When we state that the chancel pointed eastward, we do not mean to say that it faced that quarter precisely ; very few churches indeed do this, the orientation varying in many instances considerably north or south; such variation is said to have arisen from the practice of pointing the church to that part of the horizon where the sun rose on the day of the patron saint. 0f the exterior elevation—The smaller churches present to us an elevation of only one story of rough walling, pierced at intervals with windows, which are usually filled with tracery; those at the east and west 'ends, being of larger dimensions than those in the side walls. At the angles of the building, the outline is broken by massive projecting buttresses, and at other situations where they are required for the support of the building; they are sometimes seen between every two windows. A more imposing projection is afforded by the porch on one side; this is carried up nearly as high as the side walls, and is surmounted by ahigh-pitched gable roof; it is formed either of rubble, with or without windows, or of wood, in which material we have many beautiful specimens of the ,later styles pierced and carved in the most elaborate manner ; some of the plainer ones, how- ever, form very picturesque additions to a small church. The chancel, in most cases, is of smaller dimensions than the nave, both in width and height, and forms a picturesque break in the elevation; but in some cases it is of the same size as the nave, and occasionally, though rarely, larger in both dimensions, showing a western wall projecting beyond the nave on all its sides. There is a priest’s door in one side of the chancel, and sometimes a-vestry, the form and eleva- tion of which varies in different examples. The whole of the building is covered by a-high-pitched gable roof of lead, slate, or tile, and sometimes of shingles or thatch, the eaves projecting a little beyond the walls; parapets are not found, except in large churches. A very beautiful addition is frequently to be seen on the apex of the western gable, consisting either of a continuation of a part of the gable in a vertical direction, pierced with arched apertures to contain the bells, and finished with a gable top ; or otherwise of a little turret of four or more sides, to be employed for the same purpose : the eastern gable is for the most part finished with an ornamental cross. In the larger churches of three aisles, the elevation consists most frequently of two stories, the lower one similar to that already described, and an upper one called the clere-story, which is carried up above the arches which separate the nave and aisles, and pierced with windows of a smaller descrip- tion, sometimes with mere quatrefoils or other small apertures. In very large churches, the clere-story windows are often larger than those of the aisles. The nave is covered as before with a gable roof, but the aisles with a lean-to, sloping upwards 9 from the exterior walls to the clere-story, with a much more ' gentle acclivity. In some three-aisled churches, where the width is not considerable, the gable roof spans both nave and aisles ; sometimes in one inclination, but at others, the incli- nation over the aisles is considerably depressed ; in such cases there is of course no clere-story. 0n the other hand, when a church is of a great width, especially when the additional width is in the aisles, we have three gable roofs, one over the nave, and a similar one over each aisle ; the gable ends of such churches have a very pleasing appearance ; they have no clere-story, and the chancel is mostly but a continuation of the nave; not unfrequently the aisles are continued the whole length of the building in such churches. CHU 153 CHU In cruciform churches, the elevation, with the exception of such difi’erences as the plan necessitates, is for the most part similar to that of the more common forms. . 0f the Tower.——A beautiful appendage to a church is .the Tower, nor is it added merely for effect ; its principal object is perhaps to contain the bells, which require to be suspended at a considerable height, in order that they may be heard at a distance ; another end which it serves, is to point out the situation of the sacred building, and, as some suppose, to act as a beacon or landmark for the guidance of travellers: an instance of a tower serving this purpose, may be pointed out at Boston, Lincolnshire, as also at Dundry, near Bristol, at both of which places the towers are raised to an extraordinary height. The tower is very generally surmounted by a spire, which serves as a most efficient covering, while at the same time it gives additional height, and forms a beautiful finish- ing, “pointing,” as it does, “in silence heavenward.” It is remarked that spires are not so frequent in elevated situations, or in level tracts of land, as they are in valleys and in wooded country; which fact would seem to imply that they were added more especially for pointing out the spot occupied by the house of prayer. The situation of the tower with respect to the church is various; sometimes we see it at the end, sometimes in the middle of an aisle, frequently at the west end of the nave, and occasionally between nave and chancel ; in short, almost in every situation, except at the eastern extremity of the chancel. Its plan is usually square, though occasionally we find it octagonal, and even circular, and sometimes square at the lower part, but finished ofl' at the top in an octagonal form ; in elevation, the outline is broken by buttresses pro- jecting considerably at each angle, and, where there is no spire, is frequently found a stair turret running up in the corner next the church, and continued some little distance above the parapet. The base or lower story of the tower is usually plain and massive, but the upper portion is of a more elaborate appearance, being pierced with windows, the heads filled with tracery, and the lower parts with louvre- boarding. V‘Vhen there is no spire, the tower is finished with a parapet, battlemented or otherwise; and in later examples, the parapet is not omitted, even when there is a spire, and is sometimes enriched by continuing the buttresses above the tower, in the shape of pinnacles. During the earlier periods of English architecture, the spires sprang direct from the caves of the tower, without the intervention of a parapet. Spires are, in plan, square or multangular, most frequently octagonal; sometimes they spring from the tower on a square plan, which at a short elevation is merged in the octagonal ; some spring from the tower at a greater angle than others, but all terminate in a point surmounted by a vane, often by the symbolical cock, the emblem of St. Peter’s fall, which proposes an opportune warning to the passers-by, not to neglect the aid of divine power, but to “ watch and pray, lest they likewise enter into temptation.” The elevation of the spire is relieved by one or two tiers of spire-lights, which are small open windows, carried up vertically, and therefore projecting from the line of spire as they rise upwards. Spires are built either ofstone or ofwood, in which latter case, they are usually covered either with lead, slate, or shingles; and though not so imposing as those of stone, have a very picturesque appearance. Towers of wood are very frequentin Sussex, Surrey, and Essex; they are surmounted with low spires, the whole being covered with weather-boarding, with small apertures of luffer-boarding for windows: wooden bell-cots of a similar description are commonly to be met with in Essex. Detached towers are not of frequent occurrence in this country, but several are to be found, especially in Lincolnshire. 2 R boards protected by lead or other covering. 0f the internal structure—The principal portion of the structure to which the eye is directed, in the interior is the chancel; this is entered from the nave under an arch, termed the chancel-arch, and is elevated from the body of the church on a raised platform, which is ascended by three or more steps ; a further separation is effected by the rood screen, which is carried across the opening formed by the arch, and stretches from pier to pier. In three-aisled structures, the aisles are separated from the nave by an arcade or series of arches, supporting in most cases a clere-story, to admit light into the body of the church. The proportion between the width of the nave and aisles, varies considerably; in some cases, the aisles being less than half the width of the nave, and in others, of nearly equal dimensions. The roofing throughout the church is composed in by far the majority .of instances, of timber, the few exceptions, which are in the larger churches, being of stone vaulting. In roofs of the former kind, the timbers were originally open to view, and not concealed, as too many of them are at the present day, with a flat plastervceiling. The timbers were of oak, and consisted of principals, purlins, and common rafters, the whole of which were boarded over, and the The principals are placed at regular intervals, dividing the roof into a num- ber of bays or compartments, each inclosing several common rafters, and are partially supported either on corbels, or on the capitals of shafts ascending from the floor; they are formed either of collars with Collar braces continued to the lower part of the rafter, of collars with intersecting collar braces, of intersecting braces only, or of timbers disposed in the form of an arch, and in many other ways which will be discussed in the proper place; tie beams are seldom used : in most instances the timbers are plain, but in many, of the later ones more especially, a considerable degree of ornamen tation is introduced in the shape of carved bosses, open panelling, and such like. 0f the internal arrangement—On entering the church through the wicket, at the entrance of the porch, we some- times notice on the right-hand side of the door, often pro- - jecting from the wall, and partially covered by a niche, a stone bason, which is called a stoup, or aspersorium, from its use, which was to contain the holy water, with which, in olden times, the worshippers sprinkled or crossed themselves before entering into the body of the church. This was a very ancient practice, and was adopted in a somewhat different shape by the early church; the small stoup, in fact, is a sub- stitute for the fountain to be seen in front of some of the Constantinian churches, at which Christians were accustomed to wash before entering the sanctuary; the custom is typical of the purity of mind which should accompany our devotions. Before proceeding further, we may notice the stone seat, or bench-table, which runs along the sides of the porch, and is occasionally covered with an arcade, and sometimes sur- mounted with a window to give light to the porch: in ancient times, several religious ceremonies took place in the porch, especially those preliminary to baptism and matrimony. Having passed under the inner arch of the porch, we are now fairly in the church, and the first object to attract our attention is the font, which is placed always near the principal entrance, as being the most fitting situation for the performance of that rite by which men are admitted into the membership of the church; the exact locality is not fixed, being sometimes in the central avenue of the nave opposite the entrance, and at others under one of the arches of the aisle near the porch, in which case it frequently adjoins one of the adjacent pillars; it is not unfrequently raised on a series of steps, which give it a. more imposing appearance, CHU 154 CHU and has always a space left around it for the accommodation of the priest, sponsors, 8:0. ; for the former there is sometimes a kneeling-stone on the west side. Fonts in a perfect state are provided with covers, generally of wood, some flat, and others of a pyramidal form more or less enriched. We here speak of fonts as they were in former times, not as they are now found in old churches, for the original ones are some- times not only moved from their ancient positions, but even taken out of the church, and altogether discarded. On proceeding further into the church, the next object which probably strikes our eye is the chancel, and at its extremity the altar, with its appendages, but as this has been described in its proper place, we shall not stop to re-consider it here; and besides this, in fixing our attention on the more striking portion of the edifice, we have overlooked the pulpit. Few pulpits are to be met with of an earlier date than the fifteenth century, the oldest which remain are of stone, built up with the fabric, from which circumstance we may infer that they are coeval with the entire structure ; there is a beautiful spe- cimen at Beaulieu, Hants, which is attached to the wall, and entered by a staircase partly cut out of its thickness; another specimen is to be found in the church of the Holy Trinity, Coventry, which is attached to one of the piers of the build- ing. The later pulpits are of oak, usually of an octagonal form, having the sides panelled and enriched with carving, and the whole sometimes surmounted with a richly-groined canopy projecting over the head of the preacher. The posi- tion of the pulpit was probably always at the north-east or south-east end of the nave, near the arch which separates the nave and chancel. We have now to consider the form and arrangement of the pews. There are few churches which have not suffered severely by the removal of their ancient seats, and the sub- stitution of close boxes, with high backs; the old seats were low, with very low backs, so as not to destroy or shut out a full view of the church. The backs and seats of such low benches were fitted at either end into a standard, which served at the same time as a support and finish, being fre- quently carved in panels, and sometimes finished at the top with a poppy-head, or knop of foliage; at other times they were quite plain, with only a simple moulding, or even chamfer at the top: between every two benches was an open space left for ingress and egress to and from the seats, which were never closed with doors. These benches were all arranged north and south, so that the congregation might face the east, having an avenue between them in the centre of the nave, and another leading into it from the entrance, which, in three- aisled churches, must have been carried right across the church, to give access to another avenue leading to the seats in either aisle. These formed the only seats in the church for the laity; it is scarcely necessary to add, that galleries never formed a part of the original arrangement. 0f the internal decoration—'l‘here is one method of deco- ration so universally applied in our ancient churches, that we cannot pass it over unnoticed; it consists in the application of colour; the roof, the floor, the walls, the furniture and ornaments, and, not to omit the principal feature, the win- dows, nay, even the very books, were all enriched with gild- ing and colour. In paving, the use ofencaustic tiles of various colours and patterns was most common, but besides these, the floors were not unfrequently COVered w1th mosaic work, as instanced at the Prior’s Chapel, Ely, where in the chancel immediately in front of the altar was represented “the tempt- ation” in this method, the other parts of the floor being adorned with ordinary patterns. Frequent specimens of paint- ing on the roof have been lately brought to light, a very usual method of decorating which is by a powdering of gilt stars on an azure ground. Few restorations take place without some additional testimony to the employment of fresco paintings, which have been previously concealed by successive coatings of plaster and whitewash. Mr. Poole, speaking of the internal decoration of churches, says—“ Besides the immense variety of Scriptural and other subjects which are found sculptured on the walls and roofs of our Gothic churches, we have also sometimes fresco paintings, covering great portions of the walls. These paintings have, for the most part, been covered with the successive coats of whitewash and yellow ochre, with which the churchwardens have literally daubed the interior as well as the exterior of churches; as if, to their eyes, whiteness and yellowness were the only two elements of beauty. Accident has discovered several of them, and more are being discovered every day. The most remarkable with which I am acquainted is in the church of the Holy Trinity, Coventry; the subject is one which cannot be un- profitably suggested to Christians,—the last judgment; and it is treated in a manner by no means deficient in expression. At Preston, in Sussex, is another fresco, discovered also acci- dentally; one of the subjects is the murder of Thomas a Becket; the story is minutely and well told. Another subject is the archangel Michael weighing the soul of a Chris- tian, which appears in one side of a pair of scales, against the devil, in the form of a boar’s head, in the opposite scale. By the intervention of a female saint, most probably the blessed Virgin, who stands by, the soul is manifestly the weightier. “ In the late remains of Rotheram church, several frescos were discovered, especially a large one over the nave arch, of our blessed Lord and the twelve apostles, with other saints and angels in act of adoration. The figures were much destroyed in the process of laying them bare; and they are now covered over again. Might they not have been restored?” This question we shall leave for future consideration; mean- while, we may remark, that many specimens of fresco have been discovered since the above was written, and no doubt fresh discoveries will be made as the process of restoration goes on in our ancient churches. Another old method ofdecorating the walls, the appropriate- ness of which cannot be questioned, is by covering them with texts of Scripture, on which our previous author, Mr. Poole, remarks as follows:—“ The most simple occupant of the walls of churches is a series of passages from the Sacred Scriptures, or of moral sentences of tried wisdom and appropriate ten- dency. The introduction of the inscriptions is very ancient. Bingham gives us several instances, and, among others, two distichs written over the doors of the church, one on the outside, exhorting men to enter the church with a pure and peaceable heart :— ‘ Pax tibi sit quicunque Dei penetralia Christi Pectore pacifico candidus ingrederis ;’ and the other within, requiring those who go out of the church to leave at least their heart behind them :— ‘ Quisquis ab cede Dei perfectis ordine votis Egrederis, remea corpore, corde manc.’ “ St. Ambrose tells us of an appropriate passage of Scrip- ture, written on the walls of that part of the church which was allotted to the virgins. And besides these moral lessons and texts of Scripture, records of the dedication of the church were sometimes inscribed on the walls ; such was that written by the altar of Sancta Sophia, by Justinian. “ To convey some notion how appropriately such passages may be selected and arranged, and how impressive may be ‘ their general effect, we will adduce the whole series of inscriptions from a small chapel at Luton, in Bedfordshire. This chapel, which is now the property of the Marquis of Bute, was built by one of the Napier family, in the reign CHU of James I., and the beautiful wainscoting with which it is fitted up, was brought from Tittenhanger, where it had been fixed by Sir Thomas Pope, in 1548. “ Over the principal doorway are the words, Domus Dei porta coeli: ‘The House of God is the Gate of Heaven ;’ and on the north and south side of the entrance: Laudate eum juvenes, laudate eum virgines, ‘ Praise Him, ye young men; praise Him, ye maidens,’ from Psalm cxlviii. 12. On the two transverses of a. beautifully carved door, is an inscrip- tion from Psalm cxviii. 20, Porta Domini, Justi intrabunt, ‘ This is the gate of the Lord, the just shall enter in.’ reference to a nearer approach to the altar, we have the words—Lavabo inter innocentes manus meas, et circumdabo altare tuum Domine: ‘I will wash my hands among the innocent, and I will compass thine altar, O Lord :’ and on the altar itself not only are the names of our blessed Lord, found in Hebrew, Greek, and Latin, as they were inscribed by Pilate on his cross, but also the following passages from Heb. xiii. 10; Matt. xxvi. 27; 1 Peter i. 12; and 1 Cor. xi. 24, 25 : Habemus altare—Ex hoc omnes—in quae desid- erant Angeli prospicere—Hoc in memoriam mei : ‘ We have an altar—Eat ye all of this—Into which the angels desire to look—Do this in remembrance of me.’ Even the singular addition of a chimney-piece in this chapel, has its appropriate inscription : Ecce ignis et lignum, ubi est victima holocausti? ‘Behold the fire and the wood, but where is the victim of the whole burnt offering ?’ ”—Gen. xxii. 7. Such was the decoration of the walls of our old churches, nor were the details or furniture neglected, but all enriched with colour, and the smaller parts with gilding. The rich- ness produced by this treatment, which might otherwise have appeared too glaring, was chastened and softened down by the dim religious light shed through the storied panes of the stained windows, which, while they added to the general efl‘ect, imparted a chasteness throughout the whole structure. An old church in all its glory, must have been truly beautiful. 0f the materials.—Our old churches were most generally built of stone, and the majority of them of rough unhewn rag or rubble, built up into the fabric in the same state as brought from the quarry; the individual stones were small, and not all of the same size ; they varied likewise in shape, not being built up in regular courses, but fitted together as neatly as circumstances would permit; the longer spaces being filled up with smaller stones, and the lesser ones with cement. This masonry was bonded at intervals by longer stones running through the work, and at the angles by coins of more regular workmanship. The dressings of the building, such as the jambs and finishings of windows, doorways, and other apertures, as well as the pinnacles, water-tables, string- courses, mouldings, and all other portions of the edifice which required much labour, were of some more manageable stone, such as Caen; and in some of the more highly embellished structures, of Purbeck marble. In some localities, flint is employed, instead of rubble, more especially in Norfolk and Suffolk, not unfrequently in Essex and other counties; in many cases of this kind, the walls are made up of flints, inserted in a kind of framework of freestone, which method, with the aid of good cement, produces a very durable and not unpleasing structure. Nor are these the only materials employed in the construction of churches ; we occasionally meet with brick and wood as substitutes for stone, more frequently than elsewhere, in the county of Essex. Brick, however, was not used during the best periods of ecclesiastical architecture, nor does it produce an effect so pleasing to the eye, as either of the before-mentioned materials; their colour, red, is not nearly so agreeable as the more subdued tones of flint or rubble. The walls, in all the above cases, were 155 With ' CHU of great thickness, which tended not only to the greater stability of the structure, but also to maintain an equability of temperature in the interior. A good specimen of a wooden church is that of Greenstead, Essex, which has recently been restored, and of which the following description, previous to its restoration, is given in one of Weale’s Quarterly Papers :— “The timber walls, which,” says the writer, “I take to be of oak, though some imagine them to be of chestnut-wood, are but six feet in height on the outside, including the sill; they are not, as usually described, ‘ half-trees,’ but have had a portion of the centre or heart out out, probably to furnish beams for the construction of the roof and sills ; the outside or slabs thus left, were placed on the sill, but by what kind of tenon they are there retained, does not appear ; While the upper ends, being roughly adzed off to a thin edge, are let into a groove, and which, with the piece of timber in which it is cut, runs the whole length of the building itself; the door-posts are of square timber, and these are secured in the above-mentioned groove by small wooden pins, still firm and strong—a truly wonderful example of the durability of British oak. At the west end I had an opportunity of examining the very heart of the timber; to the edge of an exceedingly good pocket—knife, it appeared like iron, and has acquired from age a colour approaching to ebony, but of a more beautiful brown ; and if any conclusion may be drawn from the appearance of the building, I see no reason why it should not endure as long as it has already existed. The outsides of all the trees are furrowed to the depth of about an inch into long stringy ridges by the decay of the softer parts of the timber, but these ridges seem equally hard as the heart of the wood itself ; the north doorway, which measures only four feet five inches in height by two feet five inches in width, is at present closed with masonry ; but the aperture must have been original. It is generally thought that the woodwork of the roof is coeval with the walls, and it was most likely formerly covered with thatch, as Bede describes, and as may still be seen on many village churches in the county of Norfolk. “ The body of the church is lighted by windows in the roof, but these are decidedly of a recent date; what little light its interior enjoyed in its primitive state, was probably admitted from the east end, if any windows existed at all. “ How the interior was originally finished, cannot be now determined; at the present moment it is kept in a very neat and reputable state ; its walls and ceiling are plastered and whitewashed, and its area affords sufficient accommodation for the population of the parish.” The nave is the portion of the church here alluded to, for the chancel is not of the same material, and is of a later date ; the tower is also of wood weather-boarded, with luffer boards for the admission of light. Since the above account was written, this unique little edifice has been restored, under the superintendence of Messrs. Wyatt and Brandon ; and in an article on the sub- ject, to be found in “ The Builder,” a short period subsequent to its restoration, the following remarks occur. The writer, in combating Mr. Suckling’s opinions as to the timbers being less than half-trees, says—“ We see no evidence of this, for the timbers were evidently left rough, and the dimensions prove them to have been, as nearly as may be, ‘ half-trees.’ These uprights,” he continues, “were laid on an oak sill, 8 inches by 8 inches, and tenoned into a groove 1% inch deep, and secured with oak pins. The sill on the south side was laid on the actual earth; that on the north side had, in two places, some rough flints, without any mortar driven under. The roof-plates averaged 7 inches by 7 inches, and had CHU 1 6 CHU a groove corresponding with the sill, into which the uprights were tenoned and pinned. The plates were also of oak, but they and the sills were very roughly hewn, in some parts being 10 inches by 10 inches, and in others 6 inches by 6 inches, or 7 inches. “ There were twenty-five planks or uprights on the north side, and twenty-one on the south side. The uprights in the north side, were the least decayed. Those on the south side required an average of 5 inches of rotten wood to be removed, those on the north about 1 inch only, and the heights of the uprights, as now refixed, measuring between plate and sill, are on the north side 4 feet 8 inches, on the south side 4 feet 4 inches, the sills being bedded on a few courses of brickwork in cement, to keep them clear of damp. The uprights were tongued together at the junction with oak strips, and a most effectual means it proved of keeping out the wet; for although the interior was plastered, there was no evidence, in any part, of wet having driven in at the feather-edge junction of the uprights—a strange contrast to many of our modern churches, where, with all the adjuncts of stone and mortar, it is found no easy matter to keep out the driving weather from the south-west. “ The roof was heavy, and without any particular character; it consisted of a tie-beam, at less than six feet from the floor, with struts. The covering'was tile.” We have given the description of this little church at so great length, because we think buildings erected after this manner would form very good substitutes for those un- ecclesiastical-looking structures termed Temporary Churches, which are become so fashionable now-a-days ; and not only so, but might be even “erected as permanent ones, in places where a better could not be provided. 0f symbolism—Although many persons are so far preju- diced against the system as to deny the existence of symbolical meaning in the peculiarstructure and arrangementof churches, to the unprejudiced mind there can be little doubt of the fact. It is true that some of the advocates of the system have carried it to too great a length, and have strained their point to such an extent as to appropriate a deep theological meaning to the smallest details, yet this should not hinder us from giving attention and credit to those who hold themselves within reasonable limits. This idea respecting the aesthetic charac- ter of ecclesiastical buildings, has but lately been brought into general notice, but it is no new fancy; on the contrary, we find mention of it in the writings of the early Christians. The following passage is from the Apostolical Constitutions : —“ When thou callest an assembly of the church, as one that is the commander of a great ship, appoint the assemblies to be made with all possible skill; charging the deacons, as mariners, to prepare places for the brethren, as for passengers, with all care and decency. And first let the church be long, like a ship, looking towards the east, with its vestries on either side at the east end. In the centre, let the bishop’s throne be placed, and let the presbyters be seated on both sides of him; and let the deacons stand near at hand, in close and small garments, for they are like the mariners and managers of the ship.” As we have before remarked, the material structure of the church was from the earliest period considered emblematical of the ark of Noah. Similar allusions to that just quoted, are constantly occurring in the patristic writings; thus S. Ambrose tells us why baptisteries should be octagonal, and Clement of Alexandria gives rules by which the selection of sacred emblems should be guided; Eusebius informs us that Constantine surrounded the apsis of the church of S. Cross with twelve pillars, according to the number of the twelve apostles; and Hermas, in his visions, represents the building of the spiritual temple under figures wholly taken from the material fabric. But of all writers on the subject, Durandus is the most copious, and is held up as the highest authority in such matters. Mr. Lewis, in his description of Kilpeck church, Herefordshire, is one who has of late brought the subject of symbolism into notice; he is one of those, however, who in our opinion have laboured to apply the system to a greater extent than is warranted by facts; he enlists every portion of the fabric, even to the minutest details, to illustrate his views, and makes the arrangement of the sacred edifice to indicate the minutiae of theological doctrine. Mr. Poole, in his lectures on church arrangement, does not attempt so much ; he maintains “ that ecclesiastical architecture is a language; that it has always, so long as it has deserved its name, aimed at expression; and not at mere accommodation without splendour, or even at splendour without a spirit and a meaning: that from the first it was rational; that it had a soul and a sense which it laboured to embody and convey to the beholder: that its language was not only expressive, but appropriate; that it aimed not only at accommodating a congregation, but at elevating their devotions and informing their minds.” He is of opinion that the greater mysteries of our religion are symbolized in the fundamental design of the structure, while other Christian verities are set forth in the minor arrange- ments and in the ornamental details. For instance, the mystery of the Trinity is symbolized by the threefold division of our churches into nave, and aisles, and perhaps in the longitudinal division into nave, choir, and chance], otherwise the division into nave and chancel is said to point out the division of clergy and laity: but the aesthetic principle is more evident in our larger churches; thus in our cathedrals we have the form of the cross in the ground-plan, also the threefold division of body and aisles, as well as of nave, transept, and choir; we have likewise the same number of divisions vertically in the lower arcade, triforia, and clere- story, as also in the exterior elevation in the central and two western towers. Mr. Poole concludes—“ On a review, then, of the facts mentioned, we may safely conclude, that, from the first, there has been a sufficient degree of uniformity in Christian churches, to indicate a unity of design, which could not be accidental; that the origin of that unity is to be found in the desire to symbolize the truths of our holy religion in every apt manner, and, above all, in the sacred edifices of the Christians.” “ A Gothic church, in its perfec- tion, is an exposition of the distinctive doctrines of Chris- tianity, clothed upon with a material form ; and is, as Coleridge has so forcibly expressed it, ‘the petrifaction of our religion.’ ” As church-architecture is receiving a fair modicum of attention at the present time, and churches are being multi- plied to keep pace with the requirements of a vastly-increasing population, it may not be out of place, in a work which pre- tends rather to useful and practical information, than to amusing recreation, to give some rules for the guidance of those who are called upon to prepare plans and designs for church-buildings In the first place, then, let the architect consider well the amount which is to be laid out in the erection, for this must determine every other consideration ; if the amount be small, do not let him attempt a large or highly-decorative building. He must first take care to ensure soundness and strength in the construction, and leave the details to be considered after- wards ; if, after calculating the cost of the mere wailing and other necessary parts of the structure, he finds he has suffi- cient to construct them in a substantial manner, and money to spare, let him then decide upon the amount of decoration. It is better to erect plain walling, so that it be solid and well- CHU 157 CHU built, than to add enrichment upon enrichment upon walls which are scarcely able to support them. Let strength be the object sought to be attained, not show; mere ostentatious display is quite out of character in a sacred edifice. This leads us to the next rulez—let every material employed be real; if funds are not sufficient for the best materials, use the more common, but do not attempt to hide them, let them appear what they are in reality, in their true colours, and not stain or plaster them to resemble things of a superior description; the building may not appear so rich, but it will bear the stamp of reality and truth, which will carry a con- viction of its superiority to minds perhaps unwilling to yield to its demands. 0f construction.—The best material for the walling is undoubtedlv stone, and of this, we suppose, that which is dressed and squared should be preferred; we do not speak with certainty in this case, for there decidedly are advantages attached to undressed, uncoursed masonry; the very uneven- ness imparts a richness and variety of colour to the material, and a play of light and shade over the surface, which is not attainable in an even or smooth wall; but besides this, there is another superiority in the contrast which is afforded between the naked wall and the more finished dressings of the apertures. But even if this matter be left undecided, it will make but little difference in the present day, for few architects have funds at their disposal to allow them a choice between the two. The stone best adapted for the purpose, in the practice of the present time, is rag or rubble, which is unexpensive, and at the same time durable; it may be pro~ cured in most localities without much trouble. Whatever be the nature of the stone, it is not necessary nor desirable that it be quarried in large masses, the smaller the better, so far, at least, as is consistent with a due regard to the safety and expense of construction; when the stones are large, they are apt to catch the eye, and lead it away from the more detailed portions of the building, whereas, if the separate stones be of small size, and more especially if they be of irregular outline, and random-coursed, they will render the more important features distinct and effective. For this same reason, the finished stones of the apertures, and such like, should not all be of the same size, either in length or height, so as to form a regular line at theirjunction, with the rubble masonry, for, if so, they will divert the attention from the main outline and decoration of the windows, &c., which the eye ought to catch at the first glance; but besides this, if the jamb-stones be of different lengths, they will form a more efficient bond with the main wall. The latter remarks will apply to all buildings, whatever be the materials of which they are composed. With regard to the selection and laying of stones, the best plan is to use them as they come to hand, studying neither their shape nor situation too closely; a wall, constructed in this manner, will look natural, and therefore far better, than when the stones are broken or placed in a peculiar manner for the sake of appearance. In no cases attempt to make the joints over close. The dressings will of course be formed of a stone which may be easy to work: Caen is a good stone for the purpose, but if this is not to be obtained, some kind of freestone may be discovered in the neighbour- hood, available for such service. The nature of the stone required will vary of course with the degree of carved enrichment to which it is to be subjected. there flint is abundant and more readily procurable than other kinds of stone, it may be used with advantage, as is evidenced by many an old structure. Care should be taken that it be well bonded and cemented together, otherwise it will not be so secure as rubble masonry ; in some cases, which 2 s ._m_lifl/—- .4 \.___.,__ M__,. ,_ . we have before alluded to, the walls are formed of a sort of frame-work of freestone, the intermediate spaces being filled in with small squared flints. In new work the effect of flint is not so good as could be desired, but it improves by age; the contrast between it and the freestone being modified in process of time; old buildings of this material have a very pleasing effect. If none of the above materials can be procured without much difficulty, brick is not to be discarded, although not to be recommended unless under peculiar circumstances. If you are compelled to use it, do not attempt to disguise it by stucco, a brick church is better than an imitation stone one; plaster may be used occasionally to preserve a wall, but, if so, let its nature and its purport be at once evident. Churches of red brick are to be found in Essex, but they are of a late period, and are not to be imitated unless absolutely necessary. In general cases, rag or rubble is preferable, not only in appearance, but even in economy. Timber, though by no means a desirable material, may in special cases be employed. A church of this description has already been noticed and described, it will therefore be un- necessary here to enter into a consideration of its construction. While upon this subject we cannot conclude without again suggesting, whether churches built after the fashion of that at Greenstead, above described, would not be more appro- priate structures for temporary churches, than those which at the present day pass under that denomination. In all the above cases, let the walls be of considerable thickness, as this tends not only to the security of the struc- ture, but also, as we have said before, to the preservation of an equable temperature in the interior. 0f tlze covering—The best covering for the roof is lead, of sufficient thickness—71b. lead is a good quality—but it has its disadvantages; in the first place it is expensive, and therefore not suitable for the present time; it also requires great care in laying, and unless pure, and of good quality, is liable to corrode. Slates are not objectionable if they be of a good colour, but the common blue slate does not harmonize well with the masonry; very fair specimens are to be pro- cured from the north of England. Tiles and thatch are fre- quently found on old churches; the former may be employed. but the latter is objectionable, for reasons which will be obvious to every reader. Rag-stones may be used for the pur- pose, as may also shingles; the latter are eligible on account of their lightness, and other qualities, but they are not secure against fire. 0ft/ze internal wood-work—The roof, benches, screens, and other wood-work should be of oak, if expense is no obstacle; however, fir, walnut, and other inferior timber, are more gene- rally employed now-a-days ; but whatever is used, it should not be stained or grained, to resemble wood of a superior quality ; it may be prepared in any manner which will tend to its pre- , servation, and in this way its appearance may sometimes be improved. Deal may be employed when the funds will not admit of a better substitute. Varnish is now frequently used, but we think it better avoided; at least, allow it a sufficient time to dry, before the church is to be used for service. 0f theflooring.—-The best materials for paving the floor are encaustic tiles, ornamented in appropriate-coloured devices; plain tiles, however, will answer very well for the nave, they should be placed diamond-wise, the alternate ones being of the same colour with a differently-coloured one between; red and black are the common colours. The enriched encaustic tiles may be judiciously reserved for the chancel; plain tiles are well introduced even here, for they serve as a contrast, as also to throw out the patterns of the richer sort. Qf metal-work—The metals are used for a variety of pur- CHU poses, the more costly in the furniture of a church, but we shall here confine ourselves to the ornamental iron-work, used for hinges, locks, bars, and such like, many beautiful speci- mens of which are preserved to us in our old churches. We must, at starting, lay down, as a rule, that iron, for these purposes, should be wrought, not cast; the latter class of iron-work is always a failure. These ornaments should not be painted, but, to preserve them from rust, it is recommended that they be dipped when red-hot in grease, and left to cool; the same purpose will be answered by coating them with some incorrosive metal. 0f style—The best style for adoption in parish-churches is undoubtedly the Decorated, from the middle of the thir- teenth to the middle of the fourteenth century. During this period Christian art was at its perfection, and soon after began to lose its character for genuine simplicity; the intro— duction of the depressed arch, and the excessive embellish- ment of the later style, was the commencement of its down- ward course. We would not, however, confine the architect to a single style; Early English is well adapted for large churches, and may occasionally be made available for smaller ones, while Perpendicular is appropriately employed for churches in cities and large towns, sometimes even with greater advantage than Decorated, which is particularly the case when a church, being closely surrounded with other buildings, requires large Windows on those sides which are more open to the light. For the generality of churches, how- ever, the Decorated is by far the most suitable, it is equally adapted for a plain, as for a more highly-finished structure, and has a natural grace which ensures its perfection, in what- ever situation it be placed; it will admit of the highest elabo- ration, so far at least as is consistent with purity, or of the plainest construction, without sacrificing any of its inherent beauties; on the other hand, the Perpendicular style must be highly enriched, or otherwise it will appear meagre, and is therefore unsuitable, except for an expensive edifice. \Ve have said nothing of Norman, but we must not pass it over in silence; it is decidedly not so appropriate as any of the above- mentioned styles for parish-churches, and yet we should be sorry to see it entirely discarded; it must not be recom- mended, but it has its peculiar beauties, which doubtless will always secure to it some share of public favour. 0f the plan—The amount of money at the disposal of the architect, as it determines the material to be employed, will likewise, to a certain extent, govern the size, and therefore the plan and arrangement of the building. The ground-plan will also depend, in a great measure, on the site allotted for the building. For very small churches, the best arrangement is the most simple, viz.; that of the parallelogram, divided into nave and chancel, which division need not be shown on the exterior, although it is very desirable that it should be so, and in this case the chancel is marked by its smaller dimensions in height and breadth; the chancel should always be separated from the nave in the interior by an open screen of wood-work, as also by being elevated on one or more steps. An important and inexpensive addition may be made to this plan in the shape of a porch, which may be either of wood or stone, and should be placed, unless there be any strong reason to the contrary, towards the western end of the south side. A further imprm'ement will consist in the erection of a bell- turret, or gable, either on the western gable, or on that between the nave and chancel; this again need not. be expen- sive, in some cases it may be made of wood, in which mate- rial we have a sufficiency of ancient examples; but it is best, of course, of stone; of whichever material it be constructed, it always forms a very marked and beautiful feature in a small church. we should be rejoiced to see a larger number of 158 CHU such small structures as the above erected at the present day, when all seem to aim at an edifice of much greater preten- sions, even though they have, it may be, scarcely sufficient funds for the erection of one of the more simple structures in an efficient manner. Towers placed between the nave and chancel are not unfrequent in some parts of England. If accommodation for a larger number of worshippers be required, one or more aisles must be added to the nave. A nave with two aisles is the perfect form, but both aisles need not be built at the same time, unless the number of the con- gregation require it, and there are ample funds for its erec- tion. At the same time, never build only one aisle for the sake of appearing extraordinary, nor unless there is an intention of erecting a corresponding one at some future period; for this reason, when a single aisle is adopted, let the opposite wall of the nave be built with arches of construc- tion, so that when the second aisle is added, it may be neces- sary only to remove the masonry between the arches. This last method might be adopted with advantage in the first class of churches. We may remark here, once for all, that it is by no means necessary that the opposite sides of a church should exactly correspond. This last is the most eligible form of structure for ordinary churches, to contain, say from two hundred persons and upwards. For churches of this capacity the first-mentioned form is not adapted, as, when so large accommodation is required, you would be compelled to extend the nave to an inconvenient breadth; twenty-five feet is the greatest dimen- sion allowable in a small church without aisles; when aisles are added, their breadth, as a general rule, should be to that of the nave in the proportion of two to five, but'this ratio is not fixed, it varies in different examples. If still greater accommodation be required, it may be obtained by continuing the aisles on one or both sides of the chancel, from which they should be shut off by parcloses of open work; but this addition is not a desirable one, and should be adopted only in such places as the architect is cramped for room. A more legitimate method of obtaining greater space in general instances is by annexing a tower, which should open into the church by a lofty arch. This, though not essential to a church, forms one of the most striking and picturesque features, and when the means will admit of it, should never be omitted; though, on the other hand, the essentials should in no case be sacrificed to obtain it. Oj'tlze position of the tween—The standard situation of the tower is at the west end of the nave, although there are very many exceptions to this position, amongst which are the following, instances of which are given by the Ecclesiological 3 Society :—west end of either aisle; middle or east end of 5 either aisle; north or south of chancel; north side of a second north aisle; north or south side of nave; north-west and south-west angle of nave; north-east or south—east of nave; i All these " u o . n l posmons are allowable, when Circumstances require the tower i middle of nave and western end of the chancel: to be so placed; as a general rule, however, we. think it advisable to retain it at the west end of the nave. At one time architects restricted themselves entirely to this rule, however more eligible any other situation might have been : now, on the ctmtrary, it is the exception to see the towers in this position. We think both at. fault, the former following one arrangement too closely, simply it would appear for the sake of preserving an exact correspondence in both sides of the building, even at the risk of losing other advantages; while the latter seek out extraordium‘y positions merely for the sake of their novelty, and for the purpose of exciting surprise. The nature and shape of the ground, as well as the internal CHU 159 CHU arrangement, should decide the question. In cruciform churches the proper location of the tower is over the inter- section of nave and transept, but in addition to other posi- tions, the following are satisfactory—at the north end of the north, and the south end of the south transept. Sometimes, though rarely in this country, we find the tower detached from the church, similarly to the campaniles of the continent. Atowercan scarcely be said to be perfect withouta spire, and in churches in which the earlier styles are adopted, this fea- ture should never be omitted; in the Perpendicular it is not of so great consequence, though even then desirable. Spires need not always be carried up to a great height, although the loftier the better, nor need they be invariably of stone, those made of shingles are very beautiful objects in rural districts, and those covered with lead or slates are not to be despised; in some counties we find both tower and spire constructed of weather-boarding. In passing, we cannot help noticing, that in many of our modern churches, the towers have not sufficient breadth, which gives them an appearance of poverty and meagreness. We suggest, whether it would not be better, where towers are deemed necessary, to lay the foun- dation of a more substantial structure, and to leave it incom- plete until the requisite funds are provided. Our old church-builders always went to work on this principle, Which accounts for the single aisle, and many other irregularities, as, for instance, difference of style in the different portions of a church. This plan might be carried out with advantage in the present day, not only in the larger parts of the struc- ture, but also in the finishing of details, &c. The plan of the tower is generally square or rectangular, supported at its angles by massive buttresses, which add greatly to its appear- ance; not unfrequently a turret, containing a staircase, is added at one angle, which affords a picturesque irregularity, especially if it be carried up above the main building; this is particularly the case in the later styles. Another addition which will be required, is the sacristy or vestry; its position should be on the north side of the chancel, with which it should communicate by a door: it should never be of large dimensions or imposing design. This is the only part of a church where a chimney is allowable. Up to this point we have made scarcely any mention of cruciform churches, not because we do not think this a beautiful form, but rather because it is ill adapted to present circumstances. Such a plan is doubtless the most expressive of any for a Christian church, but it is not the most economical; it does not economize space. It is true the cross arms may be used for the accommodation of worshippers, but not with- out great inconvenience ; persons placed there will not be as it were with the rest of the congregation, they must look a different way, and not only so, but must be hid from the altar and the greater portion of the performance ofthe services; in fact, transepts were not intended for this purpose, as is evident by there being seldom found any seats in this position, and even when such are seen, they are mostly subsequent additions. Besides all this, the cross form is more expensive in construction. W'hen funds are ample, transepts may well be added, but not otherwise. Ofapertures.—These consist of doors and windows, and to both of them one remark will apply: do not make them too large; for with respect to the former, it may be said that they are seldom made an important feature in English architecture, not even in Our cathedrals; and as regards the latter, small windows are advantageous on many accounts, not only are they more unassuming than larger ones, but they answer the present times—when stained glass through- out the building is scarcely to be looked for—by admitting less light, and if stained glass is to be inserted, they require ~._'_..— ‘. MW- 7 «,A but a small quantity. A great mistake, in our opinion, is very generally made in the present day, in allowing too great an area for lighting a church, either by making the windows too numerous, or too large; a glare of light is not desirable in a church, it interferes with people’s devotion; we want asubdued tone, that “ dim religious light” which was admitted of old through the stained windows, and this is to be procured rather by diminishing than increasing the area admitting light. With reference to the position of doors, there should be one small one for the priest in the south side of the chancel, another at the porch, and a third, generally speaking, opposite the last; in transeptal churches, there may be one at the west end, and another on the west side of one of the transepts. We have previously hinted, that it is not at all necessary that the corresponding parts of the building should be in every respect uniform: the same remark holds equally true as to detail, as it does in respect of the main features of construction; the windows and other apertures need not be placed at exactly the same distances apart, nor is it necessary that the windows on both sides of the church should in every particular correspond ; a buttress should not be placed between every two windows, or at every corner of the building, merely for the sake of appearance, nor indeed should they be employed at all, unless requisite. The governing prin- ciple in such matters, should be to use nothing more than is wanted, and place things just where they are required; if this rule were attended to, it would save a vast deal of unnecessary trouble, and produce in the end a far more satisfactory, because more natural, appearance. “ How often do we see,” says a writer for the Ecclesiological Society, “a simple village church, consisting of low and rough stone walls, surmounted, and almost overwhelmed, by an immense roof, and pierced with some two or three plain windows, between as many bold irregular buttresses on each side ; or having a short massive tower placed at one angle, or in some seemingly accidental position, which nevertheless every one confesses to be as picturesque, and beautiful, and church-like an edifice as the most critical eye could wish to behold! while a modern design, with all its would-be elegancies of trim regular buttress, parapet, and pinnacles, would cost twice the money, and will not look like a church after all. Here perhaps one half of the money is laid out first in pro- curing, and then in smoothing and squaring great masses of stone, or in working some extravagant and incongruous orna- ment; whereas the small and rude hammer-dressed ashlar or rubble work of the ancient model, has a far better appear- ance, and allows a larger expenditure where it is most wanted, in the arrangements of the interior.” This leads us to remark, that the interior should be the main object of consideration, and should never be sacrificed to make way for a showy exterior, although this is too frequently the case with modern churches; it was far different with our ancestors. Of the interior, the chancel is that part on which the architect's best attention should be given. The interiors of our old churches, as we have previously stated, were enriched in the most splendid manner, all the finest productions of art were lavished upon them, the sculptor and painter vied with each other in their decoration—and why should it not be so now? Surely paintings in fresco would be preferable to yellow-ochre and whitewash, nor do we see any moral objection to pictorial representations in our churches, there can be no fear of people worshipping pictures now-a- days, the greater fear is for the want, not the excess, of reverence; they are the books of the unlearned, and serve not only to instruct the ignorant in matters which they would not otherwise know, but also bring before the attention of CHU 160 CHU the more learned, things of which otherwise they might be forgetful. But if objections still be urged against the employ- ment of the painter’s highest branch of art, surely there can be no exception brought against such decoration as we have described as occurring at Luton Church. The employment of texts of Scripture delineated on the walls, is sanctioned by the order of the church, when she enjoins in her eighty- second canon—“ That the ten commandments be set up on the east end of every church and chapel, where the people may best see and read the same : and other chosen sentences written upon the walls of the said churches and chapels, in places convenient.” Passages of Scripture well selected and appropriately arranged, would form at the same time a very useful and beautiful appendage to the walls of our churches; though, as we think, scarcely equal to the more pictorial illustration advocated above. We should be glad to see the interior of our places of worship relieved from the coldness which ever hangs about bare walls; let at least some coloured decorations be introduced into the chancel, if nowhere else. 0f the roof—Open roofs, those in which all the beams and rafters are visible, should of course be adopted, the use of ceiling is now almost quite exploded ; roofs of this kind not only afford an appearance of greater height to the build- ing, but also have a perspective effect, by the repetition of the same parts, which adds to the apparent length of the church ; indeed, the same building covered at one time with an open roof, and at another with a flat ceiling, would present two such very different aspects, as scarcely to be recognized as i entical. Various forms may be used, of which, whether ’h or simple, beautiful ancient examples are to be found; iri‘ small churches, where the span is incon- siderable, the arched form may be used with advantage; the amount of trussing increases of course with the span. Tie- beams are scarcely admissible, as they detract from the aspiring principle developed in church architecture, and arrest the eye in its progress upwards; they have in a small degree the same effect as a flat ceiling: there is, however, seldom occasion for their employment, they are not requisite in a high—pitched roof, especially where the walls of the building are of considerable thickness; the thrust is rather vertical than horizontal. 0fpews.——Let all the seats be low open benches with low backs, the lower the better, as far as convenience will allow; for as the height increases, so must the distance from each other; if this circumstance be not attended to, the high back will be found to be in the way: a convenient height is two feet six, preserving the same measurement between every two seats. The benches must be arranged across the church so as to face the east, and in such a manner as to allow of easy access to every part of the church; for this purpose, there should be a main passage running along the centre of the nave five or six feet wide, and another of the same measurement across the church, connecting the north and south doors; smaller passages are necessary along the aisles, and at the east end of the nave. In small churches, the standards at the ends of the seats should be of a plain character, but in the larger ones they may be carved and finished at the top with poppy heads, 8cc. Ofgalleries.——Galleries should on no account be admitted into a church; they entirely spoil its appearance, cutting up windows, and sometimes pillars, into two or more pieces, hiding the roof, marring the proportions, and obstructing a fair view of the interior; they are noisy, ill-ventilated, and clumsy, and not only are they ill-ventilated themselves, but they interfere with the proper circulation of air in the aisles beneath them, and by their principle of over-crowding a church, assist materially in vitiating the air throughout the building. And what is the advantage proposed to be effected by them ?——the economizing of space, that is, the obtaining of an increase of accommodation at a small expense: but do they effect this object ? decidedly not: the additional space obtained by their adoption is very trifling, for from the total area of the gallery must be deducted, not only the main passage leading at the back of the seats throughout its length, but also the numerous cross passages branching from it to afford convenient access to the different parts of the gallery, so that in fact, in the majority of cases, a full third, and in some instances nearly one half of the area obtained is lost in passages of communication; add to this the space occupied in the aisles by the piers or other supports, and it will be evident that the advantages in point of accommodation are very small. When, bearing all this in mind, we consider that the walling is frequently carried up to a greater height than otherwise necessary, for the sake ofintroducing agallery, we shall scarcely be prepared to defend such excrescences on the score of economy. 0f the principal furniture—The first object which needs a few remarks is the font ; it should invariably be of stone, as ordered by the church, and of a size sufficient for the immersion of infants ; there should be a drain leading from the bottom of the bowl down into the earth, to carry off the water used in the service, and the bowl, when not in use, should be protected by a cover. The situation of the font must be near the entrance in the nave, and should have sufficient space left round it for the priest, sponsors, and others immediately concerned in the rite. The pulpit, which may be of' wood or stone, should be at the south—east or north-east end of the nave, either detached, or built up with the wall or pier, and should not be elevated at too great a height: ifthere be a choice of situation, the north side of the nave is the preferable position. We need say nothing in this place respecting the furniture of the chancel, as it has already been described under that title; we may only add, that we should be glad to see the whole of it introduced into our modern churches, even to the rood screen, which is so much objected to by some, on account of its being, as they say, a Romish invention, whereas in fact it has been employed in the Eastern as well as the \Vestern church, from the very earliest period. Of the lighting, warming, and ventilation of churches.— The best method of lighting a church is by candles, which may be held either in standards fixed or movable, or in chandeliers made after the pattern of the ancient corona: lucis. Gas is cheaper than wax-lights, we are aware, but a trifling additional expense should scarcely be a consideration in such a matter; besides, amongst other disadvantages, the glare of gas-lights is but ill adapted to the solemnity of a church, and the heat emitted from them is oppressive and somniferous. A fire-place is hardly admissible into a church, and stoves, hot air or water pipes, should never be attempted, they are unsafe, as well as unhealthy. The best method of regulating the temperature of a church is by building sub- stantial walls, and efficient drains, allowing a free circulation of air, and keeping the whole building in good and proper repair. If 10w benches, and high-pitched open roofs be adopted, while galleries and gas-lights are at the same time discarded, there will be little difficulty as to ventilation. Qf the restoration of'churvhes—Little need be said on this head, the main point to be attended to is, the reducing the building as nearly as possible to its original state, in structure, arrangement, and decoration ; it most frequently happens, that the minutiae of the old structure are not traceable, and in such cases thejudgment of the architect is called into action, but where the old arrangement is perceptible, it should always be CHU 161 CHU followed in the restoration. The first thing to be attended to is the drainage, many old churches being destroyed by damp; in very many cases the earth of the church-yard Will be found to have accumulated to a considerable height above the floor of the church, and this of course should be at once removed, and a proper ventilation given, to dry the foun- dations. The interior walls should be carefully cleansed of the many coats of whitewash, so that, in case any vestiges of painting remain, they may not be destroyed for want. of proper caution; the same care should be taken 1n removmg the plaster and whitewash from the ornamental details ; flat ceilings likewise should be removed Wllh. caution, as. they were frequently added merely to hide exrstlng defects 1n the roof. Structural restoration should be first attended to, after that the arrangement, and lastly the decoration. 0f the enlargement of churches. ——Architects are not unfrequently called upon to afford increase of accommodation in old churches; it may therefore not be out of place to point out as briefly as possible how this may be best effected. The first step is to calculate how much additional accom- modation may be obtained by a proper re-arrangement of the seats, and a substitution of low benches in the place of the modern pews, and to regulate for further additions accordingly. Churches in which additions are advisable, are the following: those which consist only of nave and chancel, which may be enlarged by the addition of one or more aisles to the nave, and of a tower, if requisite; ——-those consisting of nave, chancel, and one aisle, where accommodation is naturally increased in completing the church by the addition of an aisle on the opposite side of the nave, an addition frequently contemplated by the founders, as is manifested by the existence of arches of construction in the nave-wall;——those again consisting of a nave and chancel, with tower between the two, may be enlarged by adding transepts, which, in cases of necessity, may be used for worshippers. Of churches comprising a nave with two aisles, a chancel and a tower, increased space may be obtained by a continuation of the aisles to the extremity, or nearly the extremity, of the chancel, or by adding another aisle to the nave. Either of these plans may be adopted in cases of great need, but they are by no means to be recom- mended; in both cases the same objection holds, that the people are packed into situations which are not convenient for public worship; in the first case, they are made to look in a different direction from those in the body of the church, which interferes with the apparent unity of the worshippers, and, in the latter, a great portion of them are excluded from a proper view of the chancel. In such cases it would be much more advisable to erect a new church or chapel, however small or unimposing, but this necessitates other expenses, and is not always practicable; where it is possible, it should be adopted in preference. The Rev. J. L. Petit, in his Remarks on Church—Architecture, recommends additions to the chancel to be made in almost all cases where enlarge- ment is required; but we must differ from him in this matter, for, be it remembered, that in our old churches, these projec- tions were not used by the congregation, but were employed as side-chapels; in fact, their existence is attributable to the corruptions of the church of Rome: such additions maybe used for the location of the organ, or such like purposes, but not, if avoidable, for the accommodation of worshippers. In other churches where none of the above methods are available, it is better not to attempt enlargement; the lengthening of the nave is a poor expedient, which may at once destroy the proportions and mar the unity of the original design. We here take leave of a subject which we are rejoiced to say is daily receiving increased attention. Some few years 2 'r since, our ecclesiastical structures were looked upon as rem~ nants of by-gone days, to be wondered at for their associations and antiquities, but scarcely to be imitated in modern times; but of late a new light has appeared, infusing spirit and animation into the old buildings, and we no longer look at them as the relics of a barbarous age, but as examples most fitting to be followed in all sacred structures; they formed once the lore of the antiquarian, they are now the models of the architect. It is a matter of wonder how rapidly knowledge, on this subject, has been acquired; it is asyet imperfect, but is progressing satisfactorily; fresh discoveries are being made continually, and ere long we shall have a goodly number of useful text-books on the subject. We must not forget, that the first impulse in the right direction was afforded by the Cambridge Camden Society, to which the gratitude of every lover of our old parish-churches will be readily accorded. We have now Architectural Societies of a similar kind established all over the country, to which, in conjunction with the labours and researches of private archi- tects, we look for a great increase of information. An addi- tional incitement to this study has been given by the erection of so many churches in various parts of the country, in most of which a vast improvement may be observed on buildings of a similar kind erected in previous years; it is true they are not all, perhaps but few, without faults, many of them are faulty in numerous respects, yet, as a whole, they are very satisfactory; we cannot do better in concluding this article, than repeat the remarks of Mr. Petit on the progress of church-architecture, and the impediments which the profes- sional man has to encounter in its advancement. “ So great,” says he, “are the actual and inherent difficulties of his art, and so grievously are they multiplied by external causes, s0 ‘ limited and restricted is he by the perverseness of others, so many conflicting tastes and opinions has he to consult, so beset is he on every side by the ostentatious views of one, the parsimony of another, the private interests of a third, and the overweening ignorance of the greater number, that it is a marvel his work should ever be respectable; and we cannot deny that many of our modern churches are extremely creditable to the taste and skill of their designers. Let those who speak of the labours of the architect with flippancy, or censure them with unkindness or severity, reflect upon the dif- ficulties he has to encounter ; of no other art are the principles and beauties more deeply hidden in the treasury of nature, and to be searched out with greater toil and diligence.” CHURCH-HOUSE, a building in which meetings were held for the transaction of church matters and parish business; it was sometimes a room situate over the porch. CHURCH-YARD, the space of ground surrounding the church, used as a cemetery or burial-ground. The entrance . to our old church-yards was frequently through a gate covered with a projecting roof, called the lych-gate, under which the coffin was rested before entering the ground; and opposite the porch, was a lofty stone cross elevated on one or more steps, and frequently adorned with the emblems of . the Evangelists, and other enrichments. planted a yew-tree, whose boughs were carried in procession on Palm Sunday, and used at other times to decorate the interior of the church. The unwholesome practice of interment in towns is being discontinued, and consequently the church-yard in such cases is in a great measure dispensed with; where practicable, however, the church should be contained within a walled enclosure. The best model for an extra-mural cemetery, is that lately planned at Oxford: cemeteries are usually objectionable, on account of being made the subjects of speculation and pecuniary profit. Near the cross was 9 CIR 162 CIR CIBORIUM, in ecclesiastical antiquity, the covering of an altar ; being an insulated edifice, consisting of four columns supporting a dome. The ciborium was used during the lower and middle ages; but was afterwards superseded by the baldachin. See BALDACHIN. The most magnificent ciborium ever known, was that erected by Justinian, in the church of St. Sophia, at Con- stantinople. It consisted of four large red marble columns, supporting a silver dome, surmounted with a globe of massy gold, weighing 118 pounds, and surrounded with lilies of gold, falling in festoons, weighing 116 pounds; and in the middle was a cross of the same metal, weighing 75 pounds, covered with the most rare and precious jewels. CILERY, the drapery or foliage on the heads of columns. CILL. See SILL. CIMA. See SIMA, MOULDINGS. CIMA-INVERSA. See SIMA-INVERSA, MOULDINGS. CIMA~REC'I‘A. See SIMA-RECTA, MOULDINGS. CIMBIA, a fillet, string, list, or cincture. CIMELIARCH, in English churches, the room where the plate, vestments, &c. are kept. CINCTURE, or CEINCTURE, an annular fillet, of a cylin- dric surface, at the ends of a column, connected to the shaft by the apophyge, or scape. The cincture at the top of the column, is named also collarino. CINQUEFOIL, an ornament in the pointed style of architecture, consisting of five cuspidated divisions, or curved pendants, inscribed in a pointed arch, or in a circular ring, applied to windows and panels. The cinquefoil inscribed in a circle, is a rosette of five equal leaves, with an open space in the middle ; the leaves being formed by the open spaces, and not by the solids or cusps. CIPPUS, a small low column, sometimes without a base or capital, and most frequently bearing an inscription. The cippus was used for various purposes among the ancients: when placed on a road, it indicated the distances of places ; in other respects, the cippi were employed as memorials of remarkable events, as landmarks, and for bearing sepulchral epitaphs. Also the prison of a castle. CIRCLE (from the Latin, circulus) a plane figure con- tained under one line, called the circumference, which is such that all lines drawn to it, from a certain point within the figure, are equal; and the point from which the lines may be thus drawn, is called the centre of the circle. A circumference may be thus described: if the end of a right line be placed upon a fixed point, and kept upon that point while the other end is carried progressively forward, or round, until it come to the place whence the motion began, the moveable extremity will thus trace out the circumference of a circle. In order to obtain the measurements of angles, the circum- ferences of all circles are supposed to be divided into 360 equal parts, called degrees,- each degree is supposed to be divided into 60 equal parts, called minutes; each minute is divided into 60 equal parts, called seconds; each second is supposed to be divided into 60 equal parts, called thirds; which are again divided and subdivided ad irgfim'mm. Any denomi— nation, whether of degrees, minutes, seconds, &c. is known by a peculiar character, written over the right-hand figure of that denomination ; thus, 0, written over the right-hand figure of a number, shows that number to represent degrees; the character thus, ', written over the right-hand figure of a number, shows the number thus distinguished to represent minutes ; e. g. 1360 24’ 48” 57’”, 8:0. represents 136 degrees, 24 minutes, 48 seconds, 57 thirds, 8:0. ; and, as similar arcs are such as are contained under the same, or equal angles, they contain the same number of degrees, &c., the number of parts of the arc of a circle, described from the meeting of two lines forming an angle, and comprehended between them, is the true measure of the angle ; for the number of parts is still the same, whatever be the radius of the arc, or of the circle, the parts being greater as the radius is greater. The arc of the circle being supposed to be divided into 360 equal parts, the radius will be found to be equal to the chord of 60 ; because the circle contains six equilateral triangles, whose bases are chords to the circle, whose summits meet in the centre, and whose sides are radii to the circle. And since the sixth part of 360°, or of a whole circle, is 60°, the chord of 60 is therefore equal to the radius. The parts of the arc may be measured by parts of the radii, which are always supposed to contain the same number: for if there be two arcs described from the angular point of an angle, between the legs, these arcs may be measured in parts of their respective radii. The circle is the most capacious of all plane figures; that is, it contains the greatest area under equal perimeters, or has the least perimeter enclosing the same area. The area of a circle is equal to the area of a triangle, the base of which is equal to the circumference, and the perpen- dicular equal to the radius, and consequently equal to a rectangle, whose breadth is equal to the radius, and the length equal to the semi-circumference. Circles, like other similar plane figures, are to one another as the squares of their diameters. The ratio of the diameter of a circle to its circumference, has never been exactly ascertained. Archimedes was the first, in his book De Dimensione Circuli, who gave the ratio in small numbers, being that of 7 to 22, which is still the most useful for practical purposes. Vieta carried the approxi- mation to ten places of figures, by means of circumscribed and inscribed polygons of 393,216 sides, showing the ratio to be as 10,000,000,000 to 31,415,926,536 nearly, the circumference being greater than 31,415,926,535 but less than 31,415,926,537 Van Colen carried the approximate ratio to 36 places of figures ; which number was recalculated and confirmed by VVillebrod Snell. Mr. Abraham Sharp extended the ratio to 72 places of figures, which was afterwards extended to 100 places by the ingenious Mr. Machin ; and, lastly, M. De Lagny, in the filemoires de l’Acad., 1719, has carried this ratio to the amazing extent of 128 places of figures. In approximating the circumference or area of a circle from the diameter, the first authors had recourse to inscribed and circumscribed polygons; since it was found that the circumference of the circle was greater than the perimeter of the inscribed polygon, but less than that of the circum- scribing one ; and, that when the polygon contained a great number of sides, the circumference of the circle did not differ materially from either, it would be still more nearly equal to the arithmetical mean of the two. And, to give the reader an idea how very near the circumference obtained by this means is to the truth, the circumscribed and inscribed polygons may be taken of such a number of sides, as that their perimeters will be each expressed by any given number of figures of the same value, from unity, either taken indi- vidually, or as a whole number, and consequently the circum— ference of the circle may be expressed, or carried to any degree of accuracy required. But the method of obtaining the circumference by this means, being found exceedingly laborious, other methods, by a series of fractions, have been invented, so as not only to be much more easy in the calculation, but also to show how the terms may be continued at pleasure, by inspectior i t l CIR 163 CIR only. Dr. Wallis was the first who expressed the area of a circle, in terms of the diameter, by an infinite series, and showed that, if the square of the diameter was 1, the area would be 3x3x5x5x7x7 9 25 49 ,&c.or-,X—- X —-,&c. 2X4X4X6x6x8 8 24 48 Other series were also found by Lord Brounker, Sir Isaac Newton, and Dr. Gregory. The most convenient forms of expressing the circumference, are shown in the following statement, where 0 represents the circumference, the diameter being unity : l l l l l 4 l I + + 8: c‘ x(l—§+3_7 9—11 1315’“) ~/12 x I -——l 1 + l 8: = _ __ —— C. c (1 331+ 5.32 7.3' 9.3" ) 8 1 1 1 1 1 c: x —_ _. __ __ , 1.1.3 + 1.3.5 3.5.7 5.7.9. 7.9.11’ ) 2 1 1 1.3 1.3.5 c:8x(—————-—————- ———,&c. ) 3 5 4.7 4.6.9 4.6.8.11 2 2 1 1 1 1 1 1.3 x 1 ”=4‘/ x( x 8—2 x542"x 7‘4.6.23 9 1.3.5 1 —- x -—’&c. ) 4.6.8.2‘ 11 x 1 1 1 1.3 x1 1.3.5 ”=4X @- 2 3,-2.4 3 2.4.6 7 2.4.6.8 1 X g kc ) One of the most useful properties of a circle is that when two straight lines, or chords, out each other, the rectangle of the segments of the one line is equal to the rectangle of the segments of the other line. This property may be very con- veniently applied to finding the centre of the segment of a circle, or the length of the radius, the chord and the versed sine of the arc being given. The rule is as follows : Divide the square of the half chord by the versed sine, add the versed sine to the quotient, and half the sum is the radius of the circle. The diameter of a circle being given, to find the circum- ference: say, As 7 is to 22, so is the diameter to the cir- cumference nearly. This rule will be sufficiently accurate for the most practical purposes; but if greater accuracy be required, multiply the given diameter by 3.1416, and the product will be the circumference, or very near. When the circumference is given to find the diameter, divide the circumference by 3.1416, and the quotient will be the dia- meter. Or, say, As 22 is to 7, so is the circumference to the diameter. To find the length of an arc, the radius and number of degrees being given; say, As 180, the number of degrees in a semi-circle, is to the number of degrees in the are, so is 3.1416 times the radius to the length of the arc. When the chord of the arc, and the chord of half the are are given ;— Subtract the chord of the are from eight times the chord of half the arc, and divide the remainder by 3, which will give the length nearly. When the chord and versed-sine are known ;——Firstly, find the diameter, from which subtract the versed-sine multiplied by .82, and divide the remainder by 23— of the versed-sine; add 1 to this quotient, and multiply by the chord, which will give the length of the arc. The area of a circle, whose diameter is unity, has been found to be .7854 nearly; and since the area of a circle is as the square of its diameter, the areas of all circles will there- fore be ascertained by the following rule: Multiply the square of the diameter by .7854, and the product will be the area ot the circle. But it may sometimes appear, that the circumference only can be ascertained, the diameter being inaccessible: in this case, also, the areas of circles are as the squares of their cir- cumferences. It has been found, that when the circumference of a circle is unity, the area of the circle is .07958. There- fore the rule may be thus: Multiply the square of the cir- cumference by .07958, and the product will be the area of the circle nearly. Though either the diameter or the circumference is suffi- cient to find the area of the circle, yet, if the dimension of each can be easily ascertained, the operation of finding the area is much shorter. This may be done by multiplying the radius into the semi-circumference; the product will be the area. By this rule, the standard area, when the diameter or the circumference is unity, as in the two preceding rules, will be easily ascertained, by halving the ratio of the diameter 1 to the circumference 3.1416: for, 2)3.1416 1.5708 half the circumference. .5 half the diameter, or the radius. .78540 the area of the circle by the last rule, when the diameter is unity. Again, when the circumference is unity, the diameter will be found to be .31830 nearly. Then, .31830 —:— 2 = .15915 the semi - circumference, and l. -+- 2 : .5 the radius. Therefore .15915 x .5 = .079575 or .07958 nearly. To find the area of a sector, when the number of degrees in the are are known; say, As 360, the number of degrees in the whole circle, is to the number of degrees in the arc of the sector, so is the area of the circle to the area of the sector. When the radius, and the whole or half the length of the arc are given; multiply the diameter by the arc of the sector, and divide the product by 4; or, multiply the radius by half the length of the arc; in either case, the result will be the area of the sector. To find the area of a segment. Having found the area of the sector, subtract from it the area of the triangle, when the segment is less than a semi-circle, and add, when greater, or; Divide the cube of the versed-sine by twice the chord, and add the quotient to two-thirds of the product of the chord and versed-sine. As we must necessarily frequently recur to the subject of this article hereafter, we think it convenient to refer the reader for further information thereon to GEOMETRY, PER- SPECTIVE, Sac. CIRCULAR ROOFS, are those roofs whose horizontal sections are circular. ' CIRCULAR WINDING STAIRS, are such as have a cylindrical case, or walled enclosure, with the planes of the risers of the steps tending to the axis of the cylinder. CIRCULAR WORK, a term applied to all work with cylin- drical surfaces. CIRCULAR- CIRCULAR, or CYLINDRO-CYLINDRIC WORK, whatever work is formed by the intersection of two cylinders, whose axes are not in the same direction. The line formed by the intersection of the surfaces, is called by mathema- ticians, a line qf doublc curvature. CIR 164 CIR CIRCUMFERENCE, the curve-line by which the area of a circle is bounded. CIRCUMFERENTOR, (Latin, circumferre), an instru- ment used by surveyors in taking angles; it consists of a brass circle and index, in one piece, commonly about seven inches in diameter, an index about fourteen inches long, and an inch and a half broad. On the circle is a card, or compass, divided into 360 degrees; the meridian line of which answers to the middle of the breadth of the index. There is also soldered on the circumference a brass ring, on which screws another ring with a flat glass in it, so as to form a kind of box for the needle, suspended on a pivot in the centre of the circle. There are also two sights to screw on, and slide up and down the index, as also a ball and socket screwed on the under side of the circle, to receive the head of the tripod or stand. CIRCUMSCRIBE, to draw a figure round another; the one being rectilinear, and the other either rectilinear or circular, with the sides of one touchingall the angles of the other. CIRCUMVALLATION, a round enclosure of trenches, or fortifications. This word, from the Latin vallo, or vallum, denotes pro- perly the wall, or rampart thrown up, but as the rampart is formed by entrenching, and the trench makes a part of the fortification, the word is applied to both. CIRCUMVOLUTION, (from the Latin, circumvolutus) the act of rolling round. In architecture, this term is applied to the spirals of the Ionic capital; every turn of which is called a circumvolution. In the most ancient examples of the Ionic order, the volute has three circumvolutions, or revo- lutions, as they are otherwise called; but that of the temple of Minerva Polias, at Priene, has four. See VOLUTE, SPIRAL, and IONIC ORDER. CIRCUS, in antiquity, a large enclosed space, adapted for chariot-races, an amusement to which the Romans were passionately attached. The name Circus does not convey an exact idea of the form of this building, which both in its outline and its use resembled the Greek stadium. There were many circi in Rome, of which the Circus Maximus, and the Circus Agonalis, were perhaps the largest. The former may still be distinctly traced; the latter retains its external form only in the Piazza Navona of Rome. This species of edifice appears to have been very early introduced among the Romans, and, like many of the first public edifices, was of a temporary character, and constructed of wood. The first permanent circus, at Rome, was said to have been built by Tarquinius Priscus, and was situated in a valley between the Palatine and Aventine hills. On this site was afterwards erected the Circus Maximus, which was enlarged by Julius Caesar, and rebuilt and richly ornamented by Augustus. In the time of Nero it was burnt down; Trajan repaired it, and increased its dimensions so much, as to con- tain the whole Roman people. The exterior of the circus, except at the carcerw, consisted of two stories, adorned with columns, and finished with a terrace. The ground-floor was occupied by merchants, except on the days appointed for the games. Augustus brought an obelisk from Egypt 126 feet high, and placed it in this circus. Constantius also erected in it the obelisk now called the Lateran, which is the largest of all the Roman obelisks. The Flaminian circus was of considerable magnitude. Its only remains are ruins beneath the present pavement of the city. There are several other circi, the ruins of which may be traced; but that which demands our attention most, is the circus of Caracalla, as very considerable traces of its ancient form are yet to be seen. .Several of the circi in Rome, were exteriorly surrounded with magnificent porticos, except on the side where the carcerae were placed. Others were simply enclosed with a wall, pierced with doors and windows, as in the circus of Caracalla. The lower part of the circumference of the circus, beneath the seats, together with the porticos, formed long galleries of arcades, or fornices ; serving in part for an access to the staircases leading to the seats, and in part for the shops of various traders. The staircases of different circi were , variously distributed, according to the judgment of the archi- tect. The principal staircases led to a number of little doors in the podium, which was a long open platform, or passage, encompassing the edifice at an elevation of some feet from the area of the circus. The persons of the imperial family, the I principal magistrates, and the pontifl's, only were admitted into the podium. Behind the podium there was a little wall with a precinctum, in which small doors were distributed. The seats rose one above another, their whole height, in the manner of steps, and were supported on the inclined vault of the gallery or portico beneath them, and ascended from the podium to the top of the external wall. ' The great circi, as well as the theatres and amphitheatres, were divided into several ranges of seats, for the purpose of placing the spectators according to their condition. The seats began from the wall at the back of the podium, and after setting off a sufficient number for persons of the first rank, the staircase of seats was interrupted by the omission of two or three, which formed an ambulatory, or via, similar to the podium, at every certain number of seats. Separate staircases led to each via, through doors in the precinctum ; these aper- tures were called vomitoria. As the spectators entered by these passages at the top of the ranges of seats, they would have to descend to occupy the first rows of each moeniana, and since the seats themselves were too high to serve as steps, staircases, called scalares, formed by cutting down a seat into two steps, were provided. The scalares were placed opposite the vomitoria, beginning from the via, and descending to the ‘ lower seat of each range; by this means the ranges were divided into a number of compartments, called cunei, as in the theatres and amphitheatres; in the latter they obtained this name from their radial direction, and though the sides of the circus were straight, and the compartments consequently of a rectangular form, they were called cunei, from usage. Over the seats was a portico, or covered gallery, for the accommodation of the lower class of people. The place for the emperor was called pulvinar, the situation of which is not known: it is supposed to have been a magnificent logia. To render the seats more comfortable, they were covered with wood. The extremity of the circus, opposite to the semicircular end, was called the oppidum, and consisted of a series of thir- teen arcades. The centre arch, of the same height, but wider than the rest, served as an entrance to the circus. At each extremity of the oppidum, was a tower, which surmounted every other part of the edifice. This combination of arches and towers, seen at a distance, gave the idea of a castle, whence was derived the name of oppidum. To what purpose these towers were appropriated, is not known. The twelve remain- ing arcades were the carcerze. whence the chariot-race began. These carcerte were placed six on each side of the entrance, which was intended for the use of the processions, and are so disposed, by the inclination of the chord-line of the segment on which they may be said to be set off, that the starting of the twelve chariots was equalized. The divisions of the arcades within, on the front, were ornamented with Hermes supporting a cornice, in the manner of Caryatides : the _ carceras were closed with grated doors, to the height of the L. CIR 165 018 springing of the arch, and the semicircular opening above was filled with a marble lattice. Two of these lattices, very elegantly ornamented, are at present to be found in the court of the palace Mattei, which is founded upon a part of the F laminian Circus. The top of the carcerae formed a terrace, upon which was placed the tribune of the consul. The spina, as being dedicated to the gods, was the most sacred place in the circus. It consisted of a platform, nearly two-thirds of the length of the circus, and, running down the middle of the arena, divided itself nearly into two equal parts, resembling the spine of a fish, whence it took its name. At the extremities of the spina were placed the metae, or goals, which consisted of three cones placed in a triangle. On the summits of these cones was placed a large egg, in memo- rial of the eggs of Castor and Pollux. The metae rested upon the vault of a semicircular temple or chapel, a little wider than the spina. The circular part of these little chapels was at the first goal, turned towards the triumphal gate, and their entrances were in passages between them and the spina. The long extent of the spina was ornamented with columns, statues, and altars. It is remarkable that the spina was not situated in the middle of the arena, nor parallel to the sides of the circus, but in an inclined direction, so that the course was wider on the right side of the circus, where it began, than on the left, and diminished gradually all the way. The reason seems to be this, that the chariots, starting all toge- ther, required more room in the first course, than when they came in separately. In several of the circi, the arena was surrounded at the foot of the podium with a canal, called euripus, which was 10 feet wide, and probably of the same depth, for the defence Jf the spectators, in cases where the podium was not suffi- ciently elevated: it does not appear, however, to have been absolutely necessary, since Nero had that of the Circus Maximus covered over, in order to enlarge its area; neither is there any euripus in the circus of Caracalla. The following description of the games exhibited in the circus may be interesting. These games, according to tra- dition, were instituted by Romulus, under the name of Con- sulia, in honour of the god Consus (Neptune) They were exhibited on various occasions, and for various purposes, sometimes by the magistrates, sometimes by private citizens. The games were opened by a grand procession from the capital to the circus, in which the images of the gods were borne in carriages, followed by dancers, musicians, combatants, and others; and, last of all, by the priests, to perform the sacred rites. The exhibition consisted chiefly of chariot and horse races ; the charioteers were divided into four classes, distinguished by the colours of their dresses. The order in which the chariots stood was determined by lot; and the signal for starting was given by dropping a cloth. The chariot which first ran seven times round the course, was victorious, and the driver, after being proclaimed by the herald, was crowned by a palmvwreath, and received a sum of money. Besides these races, were contests in running, leaping, boxing, wrestling, and throwing the discus. Wrestlers were anointed with ointment by slaves; boxers used gloves strengthened with lead or iron, to give force to their blows ; the combatants were almost entirely naked, and all underwent a preparatory training and dieting—sometimes sea-fights (naumachia) were represented, and Julius Caesar revived the exhibition of mock-fights by young noblemen on horse- back. The most attractive of these public entertainments, how- ever, were the combats of wild beasts, either with one another, or with men. Great expense was incurred to provide the beasts for this exhibition, and they were collected 2 u for the purpose from the most remote parts of the empire. The men engaged in such contests, were either forced to the combat as a punishment, or induced to enter it by sums of money. The beasts were kept in inclosures (vivaria) till the time appointed for the show. So passionately fond were the people of these games, that the expression Panem et Circenses, ‘Bread and the Circensian Games,’ was com- monly used to signify the two prime necessaries of life to the Roman populace. The splendour of these exhibitions increased in the latter days of the republic, and the number of rare wild animals that were exhibited but to be destroyed, is almost incredible. It is said, that on one occasion, Pompey exhibited five hundred lions, which were all despatched in five days. CISOID, or CISSOID, in geometry, a curve line of the second order, invented by Diocles, an ancient Greek geome- trician, for the purpose of finding two mean proportionals between two given lines, of such property, as that if on the extremity, B, of the diameter, A B, of the circle, A OB, the indefinite perpendicular, C B D, be erected, and if from this, several lines be drawn to the other extremity, A, to cut the circle in I, 0, N, and if upon these lines be set the correspond- ing equal distances, viz. H M:A I, F 0 2A 0, C L :A N, &c., then the curve line drawn through all the points, M, 0, L, is the cisoid. Other methods of constructing this curve may be seen in Newton’s Universal Arithmetic, and Emerson on Curve Lines. ‘ CISTERN, an artificial reservoir or receptacle for holding water, beer, or other liquor, as in domestic uses, breweries, and distilleries. Cisterns of earth must be lined with good cement, to make them retain the water, and the bottoms should be covered with sand to keep it sweet. Water for the use of a house, may be preserved in the cellar, where a cistern or cisterns may be constructed in the following manner: first lay a good bed of sound well-tempered clay, for a bottom, on which place a flooring of bricks, or impervious stones, cemented with plaster-of-paris, or terms- mortar. The sides should then be built up, leaving a space between them and the walls of the house, which is afterwards to be filled up with clay, well rammed down ; this will keep the water from oozing, and effectually preserve the founda- tion of the house. As a substitute for plaster—of-paris, or terms-mortar, a composition of slacked lime sifted, linseed oil and tow or cotton, will be found very serviceable. A cistern of this kind, viz. of clay lined with bricks, will answer in any shady place, as well as in a cellar, provided it be kept covered. And though the cistern be not always full of water, the clay will not lose its requisite degree of moisture. When a cistern is to be made above ground, it may be constructed of planks, plain or straight jointed, put together with white lead, and pinned to bearers and uprights. If the cistern be large, suppose 10 feet in altitude, and 20 feet square, the planks may be 2g-inch yellow deals, the joists and uprights may be 4 inches thick, and 6 inches deep, placed about 2 feet 6 inches distant from each other. There should be two pins at each intersection of a board and upright, or bearer; every pin may be three-fourths of an inch thick, and wedged again with a small pin at the narrow end, to prevent the possibility of its drawing: the pins should all have a draught, to bring the joists as close as possible. This cistern, placed upon a firm well-tempered bed of clay, should be surrounded with a stone or brick wall, at 8 or 12 inches distance, and the cavity filled in with clay, as above described. This will retain the water, and answer extremely well for the supply of a city or village. UIV 166 CLA If the cistern be to be raised on high, where walls cannot be constructed around, it may be made of timber, in the foregoing manner, and lined with lead: but as this lining tends to contaminate the water, the casing of the exterior with stone or brick, with puddle between it and the wooden cistern, should be adopted when practicable. A cistern may be constructed for watering cattle, by exca- vating the ground where there is a descent, and covering the bottom and sides with two coats of tough clay, each coat about six inches thick, well rammed; the bottom being covered with flag-stones, the clay will remain moist, and free from cracks, though not covered with water. But this is trouble- some; for, should the clay happen to crack in any part, it would be necessary to go over the work again. In a chalky soil, 3. cistern may be formed by digging a hole, and covering the bottom smoothly with chalk rubbish, which, when wetted by the rain, should be rammed well. Afterwards cattle may be turned in to tread it tilllquite firm, and then it will be impervious to the water. CITADEL (from the French, citadelle, a diminutive of the Italian, citta) a small city. CITADEL, is also a small fortification, consisting of four, five, or six sides, with bastions, by which it is distinguished from a castle, and usually joined to towns, and sometimes erected on commanding eminences within them. Citadels may be either square, rectangular, pentagonal, hexagonal, or, indeed, of any figure ; but the pentagonal is most commonly adopted. The hexagonal is generally con- sidered as too large, and requiring too great an expenditure for the advantages to be derived from it; and the quadrangular is incapable of making a sufficient defence. Citadels are also sometimes made in the form of a star fort. The exterior sides of the citadel, when its plan is regular, are generally, each about 150 toises, or fathoms; but this extension may be varied according to circumstances. \Vhen the citadel is erected on a hill, or eminence, within the fortifications of the place, it is well calculated to keep the inhabitants in awe, if the garrison be sufficiently provided; but it is of little use against an enemy, when once in posses- sion of the town itself. The citadel will require a stronger fortification than the town, to prevent its being attacked first by the enemy, who, getting possession of it, will soon become masters of the town. A citadel has, for the most part, two gates, the one for com- municating with the town, and the other with the country; the gate communicating with the town, is used in case of an insurrection or sedition, or after the town has capitulated, for the garrison to retire into the citadel; the other gate, which communicates with the country, is for receiving assistance and succours when placed under extremities. The citadel generally takes up two sides of the fortification of the parts which adjoin to it, and should be so constructed, that the ditch of the place may be defended as directly as possible, either by the faces of its bastions, or by ravelins, that the enemy may have no greater advantage in attacking in one place than they would have in another. It may be farther observed, that in an extensive fortified city, a citadel may be formed by uniting two adjoining bastions, by a good retrenchment, with flanking defences: the expense of making such is very trifling, compared with that of adding another fortification to the place. CIVIC CROWN, in Roman antiquity, a garland of oak- leaves and acorns, or ground oak, given as a reward to such as had saved a citizen‘s life in battle. CIVIL ARCHITECTURE, that which embraces the erection of edifices destined for civil purposes; the term is used in contradistinction to military and naval architecture. CLAIR-OBSCURE, or CHIARO-OSCURO (from the Italian citiaro, light, and oscuro, dark) the proper distribution of light and shade in a picture, both with respect to the eye, and. the effect of the whole composition. The term is also used for a design wherein only two colours are used, most usually black and white. CLAMP, a small piece of wood, fixed to the ends of a board, to prevent it from warping, the fibres of the clamp being transverse to those of the board. The manner of clamping a board, is either by grooving the edges of the clamp, and tonguing the ends of the board into it with brads and glue, or by grooving the end of the board, and tonguing the edge of the clamp. Sometimes the end of the clamp is mitred to the side of the board, for the sake of neater work- manship. In the best clamping, the clamp is fixed to the board with a mortise and tenon. The flaps of shutters, small doors, lids, and kitchen-tables, which consist only of boards glued together, are most frequently clamped. CLAMP, in brick-making, a pile of bricks built upon a rectangular base, for the purpose of burning them. Clamps are built of unbaked bricks, after the manner of a kiln, with a vacuity between the breadths of the bricks, for the fire to play through; but, instead of arching, as in kilns, the fines are gathered in, by making the layers project one over another. The place for the fuel is carried up straight on both sides, till about three feet high; it is then nearly filled with wood, which is covered with a stratum of small sea—coal, or breeze, after which the fine is overspanned. The sea-coal is also strewed between every row of bricks, and the top of the clamp covered with a thick layer of it. The wood is then kindled, and the fire is thence communicated to the coals. \Vhen the fuel is exhausted, the brick-makens conclude that the bricks are sufficiently burned. The operation of burning bricks, is attended with con- siderable difficulty, and requires workmen of experience, to maintain an equal degree of heat throughout the mass. If the heat be too low, the bricks will be weak and crumbly, and if too strong, they will vitrify and run together. The operation is much better performed in kilns, than in clamps ; as in the former, the fire can be kept up, and regulated at discretion; while in clamps, as the whole of the fuel must be put in at once, the manufacturer is tempted to use too little, and the outside bricks are consequently under-burnt. These are called samel-bricks, which are sold at an inferior - price. See BRICK. CLAMP NAILS. See NAILS. - CLAMPING, in joinery, the act of securing a board with clamps. See CLAMP. CLASP NAILS. See NAILS. CLASSICAL ARCHITECTURE, such as was practised by the Greeks and Romans. CLATHRI, in Roman antiquity, bars of iron, or wood, used for securing doors and windows. CLAY, in common language, any earth which possesses sufficient ductility to admit of being kneaded with water. Common clays may be divided, with regard to their utility, into three classes, viz. unctuous, meagre, and calcareous. The unctuous contains, in general, more alumine than the meagre, and the Silicious ingredient is in finer grains. When burnt, it adheres strongly to the tongue, but its texture is not visibly porous. “'heu charged with little or no oxide of iron, it burns to a very good white colour, and is very infusible ; it is therefore employed in the manufacture of Statfordshire ware. \Vhen it contains oxide of iron, or pyrites, sufficient to colour it when baked, it becomes more fusible, and can only be employed in the coarser kinds of pottery. CLI 16 7 CLO Meagre clay does not take a polish with the nail, when dry, by rubbing it; feels gritty between the teeth ; contains sand in visible grains; and, when burnt without additions, has a coarse granular texture. It is employed in the manu- facture of bricks and tiles. Calcareous clay efl'ervesces with acids, is unctuous to the touch, and always contains iron enough to give it a red colour when baked. Being much more fusible than any of the preceding, it is only employed in brick-making; and, by ajudicious burning, may be made to assume a semi-Vitreous texture. Bricks thus made are very durable. CLAYING, the operation of spreading two or three coats of clay, in order to keep water within a vessel, or to pre- vent its transmission to some place or apartment where it would be injurious. This operation is also called paddling. Claying is necessary in the construction of canals, cisterns, vaults, 8m. CLEAM, a word used in some countries, to signify to stick, or glue. CLEAR, in building, the distance between any two bodies when no other intervenes; or between the nearest surfaces of two bodies; as, binding joists may be placed five feet clear of each other, or apart. CLEAR-STORY, the upper story of a church rising clear above the adjoining parts of the edifice, and containing a range of windows, thereby affording an increase of light to the body of the building; some indeed derive the term from the French, clair, light, from that circumstance ; while others consider the term to have been applied from this story of the building being clear of joists, rafters, or flooring: the deri- vation, however, implied at the commencement of this article, seems to be the most reasonable. In some cases, this story is made of great importance, pierced with windows of greater ' size than those below, in the body of the edifice, as at Exeter and other cathedrals, Henry VII.th’s chapel, Westminster, and some of the larger churches ; in others the windows are of very small dimensions, consisting merely of trefoils, quatrefoils, or small arched foliated apertures. Very small churches seldom have clear-stories, the roof being carried over the body and aisles in a single span. There is no clear- story to the choir of Bristol cathedral. CLEAVING, the act of severing one part of a piece of wood from another, in the direction of the fibres, either by pressure, or by the percussion of a wedge-formed instrument. CLEE' ‘A, an ancient Greek architect and sculptor, who built the palmstra, or large court, near Olympus, in which the horse and chariot races were performed at the celebrated Olympic games. It was magnificently decorated with por- ticos and other ornaments; and the author was so vain of his performance, that he introduced the following inscription under one of his statues :—“Cleeta, the son of Aristocles, who invented the palaestra of Olympus, did this.” See PALESTRA. CLEOPATRA’S NEEDLES, in Egyptian antiquity, two obelisks towards the eastern part of the palace of Alex- andria, constructed of Thebaic stone, and covered with hiero- glyphics; one has been thrown down, broken, and lies buried in the sand: the other stands on a pedestal. The dimensions of the two are pretty nearly the same ; the whole height of the erect one, including the pedestal and three steps, is about seventy-nine feet. When the French examined the base of this obelisk, the accumulation of earth around it was about sixteen feet deep. These two obelisks formed the entrance to the temple or palace of Caesar, as it is called, though pro- bably they were moved from some of the ancient cities of Egypt by the Ptolemys. CLIN CHIN G, when a nail is driven to the head through a piece of wood or board, of less thickness than the length of the nail, the driving of the point of the nail backwards, flat into the wood, while a hammer is pressed against its head, is called clinching. CLINKERS, bricks impregnated with a considerable quantity of nitre or saltpetre, and placed next to the fire in the clamp, or kiln, that they may be more thoroughly burnt. CLOACJE, large arched drains, formed under the streets of some ancient Roman cities. The most remarkable were the cloacze of Rome, large portions of which still remain in excellent repair. These cloacze extended under the whole city, and were divided into numerous branches: the arches, which supported the streets and buildings, were so high and broad, that a waggon loaded with hay might pass under, or vessels might sail in them. At proper distances, in the streets, there were openings, for the admission of dirty water, 8w. These branches ran in the low parts between the hills, and fell into one large arched drain, constructed of solid blocks of stone, called the Cloaca Maxima, said to have been built by Tarquinius Superbus, and repaired in later times by Cato the Censor, and his colleague in office. The Cloaca Maxima is fifteen feet wide, and thirty high, with three arches in contact one within another; in some parts there were raised paths along the sides of the cloaca; and in the walls were stone brackets to support the ends of the waste pipes of the fountains. In the year 1742, a part of the Cloaca Maxima was discovered in the Forum, at the depth of thirty feet from the surface. See SEWER. CLOAK—PIN S AND RAIL, a piece of wood attached to a wall, furnished with projecting pegs, on which to hang hats, great-coats, 81c; the pegs are called cloak-pins, and the board into which they are fixed, and which is fastened to the wall, is called the rail. CLOCHARIUM, CLOCHIER (French, clocher,) a building, more usually a tower, in which the clock and bells were contained. CLOGHEAD, a name applied to the curious round towers of Ireland. See TOWER. CLOISTER, (Latin, clausum, enclosed, shut in ;) a covered range of building attached to a monastic or collegiate estab- lishment, forming a passage of communication between the various buildings, more especially between the church and chapter-house. Cloisters were employed as places of medi- tation and recreation by the inmates of the establishment; and sometimes of retirement and study, for which purpose we occasionally find them arranged with cells on one side, as at Gloucester Cathedral, and also at Durham, where such cells were termed carrols: they appearto have been used likewise for places of sepulture. Cloisters are invariably found contiguous to the church, ranged round three or four sides of a quad- rangular area, having on the outer side a series of windows with piers and columns looking into the quadrangle, and in the inner side, which was in other respects plain, a number of doorways communicating with the surrounding buildings, the chapter-house, refectory, schools, and such like. The windows in our English cloisters were glazed, and the whole length of the ambulatories arched over with a vaulted ceiling ; in some cases, a stone seat or bench is carried round the wall opposite the windows. Attached to the Cloister is usually a lavatory or conduit, at which the monks washed previous to entering the refectory; the remains of one such are to be seen in the centre of the quadrangle at Durham, as also at Wells; lavatories also exist in the cloisters of Nor- wich, Gloucester, and Worcester. See LAVATORY. In England cloisters seem to have been appended to all cathedrals, and to the majority of collegiate and monastic we: CLO 16S CLO establishments, in short, to all the larger religious houses. Frequent examples are also to be found on the continent, in Italy, France, and Germany, and in some cases of great magnitude; they are in the main similar to those in England, though of different styles, and therefore varying in detail; one difference consists in the windows being unglazed, on account, no doubt, of the difference of climate; in some instances are found specimens of painting in fresco on the walls. Of the continental cloisters, Mr. Hope says, “Those of the Latin church are all of them in the Lombard style; some, such as those of San Lorenzo and Santa Sabina at Rome, and of San Stephano at Bologna, are small and rude, and more like the courts of a mean habitation; others, as those of San Giovanni Laterano at Rome, and those of San Zeno at Verona, are spacious, and formed of columns of the most fantastical shapes; some coupled, twisted, and with spiral flutes; and glittering—those at Rome with white marble inlaid with porphyry, with serpentine and with gilt enamel; and those at Verona with the gold-coloured marble of the Euganean mountains. The cloisters of the cathedral church of Zurich, and of the monastery of Subiaco, in the papal states, are amongst the most elegant of continental examples. The latter .was erected in 1235, and that of San Zeno, at Verona, in 1123.” The following account of the Campo-Santo at Pisa, one of the most famous cloisters in Europe, is given by Britton: ——-“ Its form is an oblong square, or irregular parallelogram, measuring 430 and 415 feet in its longest extent, by 136 and 139 feet at its ends. The width of each walk is about 32 feet. It was commenced in 1278 by Giovanni de Pisa, and a chapel, adjoining its east end, was completed in 1464. Between the covered walk and the enclosed area, is a series of sixty-two windows, having semi-circular arches, and adorned with varied tracery, supported by tall light columns which divide each space into four lights. Some of these were formerly glazed, but the others were left open. The floor is paved with white marble having bands of blue, and the inner roof is formed of timber. On the walls are numerous old paintings of great interest, being some of the first productions on the revival of that art at the beginning of the fourteenth century. There is also a fine collection of marble sarcophagi, fragments of sculpture, 8Lc.” Amongst many other of the more noted cloisters of the continent, may be mentioned that belonging to the monastery of Batalha in Portugal. It is extensive and highly enriched, the length of each ambulatory being 182 feet, and the width 171; feet; in the centre of the enclosed quadrangle is a cistern, and in one of its angles a large fountain. Attached to the collegiate chapel of St. Stephen, VVest- minster, are the remains of one of the most highly enriched and beautiful cloisters in England, which was erected by Dean Chambers in the time of King Henry the Eighth. It is the only example remaining of a Cloister of two stories; it has two oratories, or chantry-chapels, projecting into the quadrangle, and approached respectively from the upper and lower western avenues. The roof is vaulted, covered with fan-traccry, and adorned with finely-sculptured bosses and shields. The dimensions are added to the following table. The areas at the entrance of some continental churches partake of the nature of cloisters, but are more particularly styled atria. See ECCLESIASTICAL ARCHITECTURE. The annexed is a table giving the dimensions and some other information relative to the cloisters attached to our English cathedrals. The particulars are collected from Britton’s woxks, and other similar sources. List of Cloisters of the English Cathedrals. Length. Feet. ‘ CANTERBURY ......... .. ...... . 132 110 CHESTER .. .. {108 Width Heightto 198 S. of avenue. vaulting. Cnrcnrsraa ............. i 121 E. Feet Feet bDURHAM ..................... 145 . . . . “GLOUCESTER. ............. 147 . . - . {ram}: dHmmronn .................... . if? eLINCOLN £253 g’azzdg'} . 13 from 175 r NORWICH ................... .. to 177 } . . . 143- . SSALlsnunY ..................... 181:2- . . . 18 . . 20} 162 E. and W h WELLS ........................ 158 S. '}. . 13 lWORCESTER .................. 33:? N &S. . 16 . . 17 k0L1) ST. PAUL, LONDON... 91 . . . . 10 S. STEPHEN’S CHAPEL, 89 E. and W. 12 14lower WESTMINSTER. ......... } { 75 N. and S. d ' ¢ 13 upper Renanxs. ' On north side of cathedral. b Date about 1400 ; had octagonal lavatory in centre of area. On south side of cathedral. 0 Completed 1390; has recesses or carols 1n the south walk, and in the north a spacious lav atoxy , the roof cov e1 ed with elabmate fail-tracery. d I11 ruins. *3 IIas timber vaulting with ribs and bosses ; dral ; date about 1300. f Commenced in 1299, completed in 1430; south-west angle. E Date about 1250; situate on south side of cathedral. h Erected between 1407 and 1465 ; on the south side of cathedral. It has only three avenues, the fourth side being the wall of the nave; the eastern and western sides are of two stories ; there is a. lavatory in the area. 1 Date 1380. k Consisted of two stories ; the chapter-house was enclosed within the avenues. Destroyed. on north side of cathe- has two lavatories at the CLOISTER-GARTH, the quadrangular area enclosed within the four avenues of a Cloister; it was laid out as a grass-plot, and had frequently in its centre a stone con- duit, or reservoir of water.—The cloister-garth was used as a place of sepulture. CLOSE STRING, in dog-leg stairs, a staircase without an open newel. CLOSER, in masonry, the last stone laid in the horizontal length of a wall, of less dimensions than any of the others in the same row. Closers should never be admitted in good work, nor indeed in any other, for they deprive it of unifor- mity, and destroy the bond also: nor would they ever be found necessary, were due attention paid to the dividing of the stones in proper lengths. In brickwork the term is applied to a but used in the same manner. “When the bat is a quarter-brick, it is called a queen-closer. When a three- quarter inserted at the angle of a stretching-course, it is called a king-closer. CLOSET, a small apartment, frequently made to commu- nicate with a bed- chamber, and used as a dressing-loom. Sometimes a closet is made for the teception of stores, and then it is called a store closet. Ho“ e\ er unfashionable closets may be in the rooms of huge houses, they are essential in those of small ones. CLOSET. See WATER-CLOSET. CLU CLOUGII, or CLOYSE, a kind of sluice for letting off water gently, employed in the agricultural operation of improving soils by flooding the land with muddy water, the same with paddle, shuttle, sluice, pen-stock, &c., a contrivance for retaining or letting out the water of a canal, pond, &c. CLOUGH ARCHES, or PADDLE~HoLns, in the construction of canals, crooked arches by which the water is conveyed, on drawing up the cloughs or paddles, from the upper pond into the chamber of the lock, when it is to be filled. CLOUT—NAILS. See NAILS. CLUB-CHAMBERS. As the building we are about to describe is the first attempt to provide a superior kind of accommodation for gentlemen who are accustomed to reside in chambers, by the erection of an edifice especially planned for, and adapted to the purpose; we think a notice of the extensive and elegant institution known as the Club-chambers in Regent Street, not inappropriate in a work devoted to architecture. In consequence of the scarcity of chambers for residence in the vicinity of the Clubs and Houses of Parliament, an association was formed for the purpose of supplying the want. An eligible site having been procured in Regent Street, between Pall Mall and Piccadilly, the association engaged Mr. Decimus Burton to make designs for a new building. These designs being approved of, contracts were made, and the result was the present handsome and com- modious mansion. The elevation of this edifice is of the Italian style of architecture; it occupies a frontage of 76 feet, and consists of a ground-story, rusticated, and terminated by an enriched lace-band or string-course, enriched with the Vitruvian scroll. This story forms a basement to the upper part, con- taining the principal story, and a second and third story, surmounted by a bold and enriched cornice, the main charac— teristic feature of the Italian style. Between the principal story and the ground-floor, an entre-sol is introduced, the windows of which are placed between the panelled pilasters supporting the consoles of the bold projecting balconies in the windows above. The ground-floor is approached in the centre by a portico, projecting forward with coupled Dorie columns on each side, and recessed back to give depth: this opens into a grand entrance-hall, the height of the ground- story, and entre—sol. The four upper stories are divided in the same way as the ground-floor, except that on all the stories above the entre—sol there is an apartment over the entrance-hall. The building contains 77 chambers; 27 are provided with alcoves or recesses for the bed, and 50 without; some of the rooms are so planned, that two or three may be formed into one suite, if required. The basement-story—occupied as servants’ rooms and domestic offices—is arched over with flat brick arches, supported by iron girders. The two staircases are of stone, all the corridors have stone floors, and every precaution has been taken throughout the building against the extension of fire. The ingenuity displayed by the architect in providing for the warming and ventilation of the building deserves a par- ticular description—it is thus effected :—On each side of the principal staircase, on the basement-story, is a furnace, with an iron pipe or flue 12 inches diameter, fixed in the centre of a vertical brick-chamber, rising through the several stories and roof, where it is terminated by a cowl. On each story these vertical chambers communicate with horizontal ones, formed between the floor and ceiling of the corridors. Each room being furnished with a ventilator near the ceiling, opening into the horizontal chamber; when the fire is lighted In the furnaces, it heats the iron flue, rarefies the air within 2 x. 169 GLU the vertical chambers, and causes it to pass ofl' with consider- able rapidity through the cowl at the top. The air within the rooms then flowing through the ventilators and horizontal chambers into the vertical ones, supplies the partial vacuum created by the escape of the rarefied air, and thereby keeps up continuous and healthy circulation. The warming of the building is effected by the patent hot- water apparatus of Mr. H. C. Price, erected under the super- intendenee of Mr. Manby. The apparatus is erected on the basement-story, on the north side of the principal staircase; the hot-air chamber is immediately behind, the top being nearly on a level with the ground-floor; a supply of cold air flows through a trunk—the mouth of which is furnished with gauze-wire to filter the air—into the vault, where it passes upwards between the vertical iron chambers filled with hot- water, and becomes heated, the warm air then escaping through apertures in the top of the vault, is distributed throughout the principal staircase and corridors. The cor- ridors and water-closets are lighted with gas, the light being enclosed in glazed lanterns, provided with tubes leading to the external part of the building. On the basement—story, a well has been sunk, by which the premises are supplied with pure springqvater lifted to the top of the building by means of a small steam-engine, which is also employed for raising coals, furniture, 850., up the well-hole of the back staircase. Every alcove or recess for the bed is provided with hot and cold water, and pipes trapped, and commu- nicating with the drains for a water-closet, if the tenant should wish to have one. We have been thus particular in describing this establish— ment, because the very perfect arrangements made in it for the comfort and convenience of its numerous occupants reflect the highest credit on the architect, whose taste and ingenuity have been so eminently displayed; and because we would bespeak for so valuable an association the patronage and support its liberality so fully deserves. CLUB-HOUSE. Under this term are designated the splendid establishments which have sprung up at the west- end of the metropolis within the last few years. Called into existence by the requirements of a highly refined state of society, the clubs of London represent an assemblage of gen- tlemen composed of all that is eminent in rank, wealth, and talent; the élz'te of the nobility and gentry of the kingdom. The clubs of the present day must not be confounded with those of a past age, they are essentially institutions of modern creation. Of the clubs of former days, the earliest described in our popular literature date about the end of the sixteenth, or the beginning of the seventeenth century. About that time was established the famous club at the Mermaid Tavern in Friday Street, amongst whose members were Shakspere, Beaumont, Fletcher, Raleigh, Selden, Donne, and others. Another celebrated club, founded by Jonson, held its meet- ings at the well-known Devil Tavern. For this club Jonson wrote the “ Leges Convivales,” which are printed among his works. In the Spectator, Addison describes an association of a political character, called “ The club,” or rather the Con- federacy of the Kings. “ This grand alliance,” says he, “was formed a little after the return of Charles II., and admitted into it men of all qualities and professions, provided they agreed in this surname of king, which, as they imagined, sufficiently declared the owners of it to be altogether untainted by republican and anti-monarchical principles.” The great age of clubs, political, literary, and of every other description, was the early part of the last century. Amongst the most celebrated of these was the first Beef- steak club, of which Mrs. Woflington, the popular actress, was the president, being the only female member; and CLU 170 CLU Esteourt, the comedian, p1 omsor, wearing in that character a small gridiron of gold hung round his neck with a green silk ribband. Still more celebrated, perhaps, was the famous Kit-Cat club, said to have been instituted at the time of the trial of the seven bishops in the reign of James IL, but in its greatest glory in that of Queen Anne. In 1735 was established the second Beef-steak club, which is still in existence, and which has numbered among its mem- bers the most eminent public characters that have appeared since its institution. This club originated with Rich, the pantomimist, and the Earl of Peterborough, and has con- tinued to the present day to maintain its high celebrity, as the chosen resort of good-fellowship and conviviality. The modern clubs are associations of gentlemen of simi- larity of political feeling, literary or professional pursuits—— as the Reform, the Carlton, Athenaeum, United Service, &c. These are, in no other respect, clubs, according to the ancient English understanding of the term, except that every member must be balloted for, or admitted by the consent of the rest. They might perhaps be more correctly described as houses combining the characters of restaurants and reading-rooms, for the use of a selected number of associated persons, who agree to make an annual payment for their support, whether they resort to them little or much; and pay besides for what- ever refreshment they may require, at a cost free of profit. Originating within the present century, and concentrating a large proportion of the men of fortune, station, and poli- ti'cal note in the metropolis, these establishments have cer- tainly had a striking effect upon the manners, not only of the departments of society from which the members are drawn, but upon society in general. They have, indeed, given a new direction to the habits of certain classes, and the ' change has been decidedly for the better. Although it is our province more especially to describe the buildings in which these institutions are domiciled than the institutions themselves, a slight account of the origin and progress of the latter, abbreviated from an interesting sketch in Chambers’ Edinburgh Journal, may not be uninteresting. It appears that to the military we are indebted for the origin of these establishments. The officers of the army, whether in camp or quarters, have always experienced the advantage and economy of clubbing for their provisions. They have found that the pay of each individual, spent separately, would scarcely procure him ordinary necessaries; whilst, by adding it to a general fund, to be judiciously dis- bursed by an experienced caterer, he would obtain for his subscription not only requisites, but luxuries. At the peace of 1815, a reduction of the army withdrew a number of officers from the “messes” to which they had been accustomed. Thus a great many gentlemen of com- paratively limited means were thrown into private life, sub- jected to all the expenses and inconveniences of hotels, taverns, and lodging-houses. In many instances long and continued absence from home had severed these brave men from domestic ties; yet having always lived among a con- genial brotherhood-society, it was essential to their happiness. In these circumstances, the mess-system was naturally thought of, and the late General Lord Lynedoch, with five brother- officers, met for the purpose of devising a plan by which a similar system might be made applicable to non-professional life. So effectual were their deliberations, and so well- grounded their preliminary measures, that a club \ 'as formed during the same year, (1815), intended, in the first instance, for military men only, but naval ofileers, as well as military, were afterwards brought within the scope of their design, and an association enrolled, entitled the “United Service Club.” A building fund was formed; a neat edifice,-—from the designs of Sir Robert Smirke,——was erected at the corner of Charles Street, St. James’s, and in the year 1819 the first modern club was opened for the reception of its members. Candidates for admission, however, increased so rapidly, that a larger habitation was rendered necessary. A building, on a grand scale, from the plans of Mr. Nash, was erected at the east corner of the new entrance to St. James’s Park from Pall Mall, and taken possession of in 1828, while the resi- dence in Charles Street, vacated by the “United Service Clu ”—now generally called the “ Senior United Service”—-— was taken by a new association, under the title of the “Junior United Service Club.” The establishment of the “United Service Club” was speedily followed by that of others, and the number of these institutions, which is daily increasing, now amounts to above thirty. The principal club-houses are situated in Pall Mall and its immediate neighbourhood, and a person re—visiting London, after an absence of several years, would be surprised to see here clustered together a number of mansions exhibiting every order of architecture, from the severest Doric to the most florid Composite. The following description, subject, of course, to modification in particular instances, will give a tolerably correct idea of the general arrangement of a modern club-house. The visitor on entering one of these palace-like edifices, finds himself in a lobby, in which are the hall-porter, who is seated at a desk, and his assistants. The duty of these officials is to see that none have access to the club but members, to receive letters, &c. Close to the hall is a reception—room for strangers wishing to see members, and beyond this a hall, or vestibule, from which doors open on the various apart- ments on the ground-floor. Of these there is, first a “ morn- ing room,” which is used for reading newspapers and writing letters. And to give some idea of the liberal scale on which these morning-rooms are supplied, and of the profusion of periodicals taken in by the large clubs, it may be stated, that at the Athenaeum, in the year 1844, the sum of £471. 23. 6d. was expended for English and foreign news- papers and periodicals. Stationery also is supplied to an unlimited extent. The “ coffee-room” is furnished with rows of small tables projecting from each side, with an avenue up the middle. These tables are laid for breakfasts and luncheons till four o’clock in the day, after that hour they are arranged for dinners. For the accommodation of members who may feel inclined to form themselves into parties to dine together, in preference to the detached mode of dining at the small tables of the coffee-room; a dining-room, handsomely fur- nished, is provided on the ground-floor, in which they can do so—these dinners are termed, in club-parlance, “house- dinners.” The principal apartment above stairs is the drawing-room, in which members take their evening coffee or tea. In some clubs a great display of luxury and expensiveness is made in this room, and, notwithstanding that it is perhaps less used than any room in the house, the finest taste of the decorator and upholsterer is called into requisition to adorn it. Near to the drawing-room is the library, fitted up with every convenience for reading, consulting maps, &c. The books are accumulated by donations, and by a sum set aside from the general funds for their purchase. These libraries are generally well supplied with books, and that. of the Athenasum is said to contain near 30,000 volumes. Five hun- dred pounds is annually expended by this club for increasing its library. Near the library is, in some clubs, a card-room, but gaming is as much as possible discouraged in these institutions. CLU 171 CLU The next story contains at least one billiard-room, some club~houses have two; in many clubs also there is a smoking- room: on the upper story are sleeping chambers for the ser- vants who reside on the premises. The basement contains the usual domestic offices; and, as may be supposed, every detail connected with the important department of the “ cuisine” is most perfect. The above sketch will give the reader some idea of the general arrangements of a club-house ; we shall now proceed to describe more particularly a few of those splendid edifices which have been, by some, compared to the Palazzi of Italian cities. The “ United Service,” though first in seniority as a club, deserves a very brief notice on the score of architectural beauty. It is a plain unpretending building, which may be called Italian, because it cannot be described as being of any other style, but it is Italian of an impoverished and enfeebled character, exhibiting, remarks Mr. Leeds, “ incontestable evidence of insipidity and poverty.” The building consists of two stories, the ground-floor being rusticated, and having windows on each side of the portico. The upper story contains an elegant suite of rooms, having seven lofty windows, with pediments, over which, and running through the Whole building, is an entablature, the whole being surmounted by a balustrade. The south front is similar to the one described, but the north, facing Pall Mall, has a portico the whole height of the structure, and is in two divisions; that of the ground-floor being composed of eight fluted Doric columns in pairs, having an entablature with triglyphs. This is surmounted by a balustrade, over which are eight Corinthian columns arranged in the same order as those below, and crowned by an entablature and pediment. The internal arrangements are exceedingly well contrived, and furnish every convenience for the accommo- dation of the members. There are some remarkably fine portraits of distinguished military and naval officers, and the apartments are furnished with great luxury and elegance. The “Athenaeum,” is situated at the opposite angle of Carlton Place, and is remarkable for the elaborate sculptured has-relief frieze continued along its three sides. This club ranks as one of the very first in the metropolis, and the magnificent mansion belonging to its members, is worthy to occupy a similar prominent position. The building is from the designs of Mr. Decimus Burton, and displays that gentleman’s usual ability and good taste. The cast elevation has a rusticated basement with a portico, the ends of which are filled up and perforated with windows; the angles are finished by a square pilaster and fluted column of the Doric order; the space between being divided by four columns of the same order in pairs. The frieze is ornamented with triglyphs, and the cornice surrounded by a balustrade, the space over the centre intercolumniations being filled up and crowned by a pedestal supporting a figure of Minerva. Over the ground-story, and on a line with the cornice of the portico, is a balcony running through the three elevations, and terminating at the angles by pedestals. The principal story is lighted by seven lofty windows with sashes, by which there is access tO/the balcony, and which are orna- mented with cornice and trusses; above this and continuing through the entire building, is the beautiful frieze we have already mentioned, the figures, in basso-relievo, being copied, it is said, from the Elgin frieze deposited in the British Museum. Over this is a cornice of very bold projection, the whole being crowned by a balustrade. Adjoining the Athenzeum, is the “ Travellers’,” of which it is scarcely possible to speak in terms of sufficient commen- dation. “Could there,” says a talented writer and able critic, “be any question as to the possibility of reconciling the seemingly antithetical qualities of richness and simplicity, this building might be allowed to determine it, since the design is no less remarkable for the attention bestowed upon all its details, than for the simplicity of its composition.” We have many others far more ambitious in decoration, yet not one so beautifully finished up in every part, or exhibiting so perfectly that integrity offinish which is displayed in this work of Mr. Barry’s. For here indeed we behold the full beauty of the Italian style purified from its defects, and stamped by a serene kind of dignity that renders it truly captivating. In the treatment of his design, Mr. Barry has bestowed equal pains on both fronts, that towards the garden being as carefully studied as the one facing Pall Mall; and it is well worthy not only of observation, but of imitation, that there is more nicety of detail and greater elegance here bestowed on parts sometimes considered of very secondary importance, than is often expended upon a whole design. If, again, we lift our eyes to the upper extremity of the building, we instantly perceive what attention has been bestowed on that also; for it is not the cornice alone, but the cornice and roof together which constitute its decoration ; the latter being treated as belonging to the elevation itself, and the former giving richness and majesty to the whole facade. The interior of the building is arranged with great ability, both with regard to convenience and picturesque effect, for which latter it is not a little indebted to a small but elegant internal court, of strictly architectural character. The position of the entrance, which a regard to exact symmetry would have required to be in the centre, has been sometimes objected to, but we are of opinion that the architect exercised a sound judgment in placing it where he has, rather than sacrifice a portion of the interior accommodation. The following description of this elegant structure, is extracted from an excellent work, “ The Public Buildings of London,” edited by Mr. W. H. Leeds :-——“ The hall, which has a screen of two columns in antis,—behind which is the porter’s desk,—includes the window next to the entrance- door. Although small in itself, it does not by any means look confined, there being a vista from it along the corridor, which is lighted by three windows looking into the court, and to which there is an ascent of four steps through an open arch. The ceiling of both hall and corridor are arched; that of the former cofiered, of the other panelled. A door to the left, immediately after ascending the steps, leads into the morning-room, (44 feet by 23 feet 9,) which has three win- dows towards the street, and a fire-place at each end. From this, a door facing the farthest window, opens into the house dining-room, which is 27 feet by 28 feet 9 inches, and occupies all the space to the east of the court. Beyond the principal staircase, which is seen at the end of the corridor through an open arch, is the coffee-room, occupying the whole extent of the garden front. This room is divided by piers and antae into three compartments, in each of which is a fire-place, namely, one at each end, and another facing the windows, in the centre division. “ The libraries form a single apartment, divided by double screens of Corinthian columns on a pedestal stylobate in continuation of the dado of the room, leaving a passage through the centre intercolumn six feet clear. Owing to the contraction of the opening, to the depth of the screen, and the duplication of the columns one behind another, the perspective appearance acquires a high degree of pleasmg complexity, and the larger or inner library is not so much exposed to view, on first entering from the staircase. Above CLU l 2 CL'U the entablature is a deep frieze, forming a continued subject in has-relief. Over the libraries are billiard and smoking- rooms, which are lighted from above in the slope of the roof towards the court.” The drawing-room and card-room are loftier than the libraries, and have a deep cove with coffers between the ceiling and the top of the cornice; The design of the drawing- room ceiling is exceedingly tasteful, combining finished sim- plicity with richness in a very striking manner, and all the details exhibit proofs of the most refined taste and the most careful and elaborate design. The dimensions of some of the principal apartments are as follows :— Ft. In. Ft. In. Ft. In. Coffee-room .......... .. 68 by 24 9 and 18 6 high. Principal Staircase 45 by 16 Corridor ...... . ....... 27 by l 1 Court ..................... ‘27 by 2:) 6 Fr. In. Drawing-room.... .. . 39 by 23 9 and 24 0 high. Card-room 28 9 by 23 9 Libraries .............. 48 by 324 0 and 17 6 high. Reading-room 29 9 by 19 6 “'e cannot close our notice of this elegant building, with- out again expressing our admiration of so great an ornament to our metropolitan architecture. The Travellers’ club-house will bear the most critical and scrutinizing examination ; and the more closely it is scanned, the more apparent will be its beauty; nor is it till then that we perceive how carefully every part is elaborated, and yet so subdued to the general effect, that the eye never rests on particular points thrust obtrusively forward, but embraces the perfect ensemble, in a structure replete with chaste and refined simplicity. Immediately adjoining the Travellers' is another magnificent example of architectural genius—the “ Reform Club.” The instructions issued to the competing architects, by the s irited members of this association, when seeking a design for their new dwelling, were,—to produce a club-house which should surpass all others in size and magnificence; one which should combine all the attractions of other clubs, baths, billiard-rooms, smoking—rooms, with the ordinary features, besides the addi- tional novelty of private chambers or dormitories. The manner in which Mr. Barry responded to these instructions, may be seen in the edifice we are about to describe; an edifice on which public opinion and professional criticism have united to bestow the highest praise; pronouncing it unsurpassed in grandeur of design, and perfection of taste, by any building in the metropolis. The distinguishing characteristic of the Reform Club, is its grand and imposing appearance; produced, not only by its greater extent and loftiuess, but by the circumstance of its being detached from other buildings on three of its sides. These are made to .constitute as many facades, two of which may be beheld together from the same point of view, producing, from their uniformity in design, a continuous, rich architectural mass; and thus securing a completeness and fullness of effect which a mere facade 011 the same scale could never give. In the Reform, as in the 'I‘ravcllers’, Mr. Barry has avoided fine too common fault of cutting up a composition into distinct divisions, finishing, and then commencing again; on the contrary, the ensemble is made consistent throughout, crowned by a magnificent cornicione, proportioned not to a part, but to the whole; while sufficient decoration, in other respects, is derived from essential features and members, windows, string-courses, 820. These display themselves with a bold- ness and eifect hardly attainable where windows are intro- duced between straggling columns, and other like incon- gruities olfend the judicious observer. In this building richness Combined with simplicity is diffused throughout, .’———— ‘v_ _._u . _-~V‘,.._._—..~_~____a .A and the eye dwells with unmixed satisfaction and delight on the harmonious result. The entrance to the club-house from Pall Mall, is several steps above the ground, and in the centre of the building. On this side, the frontage presents only three floors from the ground, though consisting of six from the basement; the basement and mezzanine below ground, and the chambers in the roof being unseen There are four windows on each side of the entrance; nine windows equidistant on the first floor, and the same number on the second. The pediments surmounting the windows in Pall Mall, are supported by Ionic pilasters ; and at the back, overlooking Carlton Gardens, by Ionic pilasters rusticated. The height of the ground and first floor is on the same level as the Travellers”. An Italian court (34% feet by 29 feet,) is placed in the centre of the quadrangle. Corridors, on the first and ground floors, 9 feet wide, lighted from this court, lead to the apartments on these floors ; but on the second-floor, the cor- ridors leading to the lodgings are contracted to 5% feet. On the basement, every sort of culinary oflice seems provided, and located with singular judgment and convenience. The number of apartments here exceeds thirty. In the mezzanine or cntresol, are the butler’s, housekeeper’s, and still-rooms, dressing and bath rooms, and 16 servants’ rooms. On the ground-floor is the coffee-room, of noble proportions, having a view into the gardens; writing—room, newspaper or reading- reom, house dining-room, steward‘s, waiting, porter’s, and two audience-rooms—in all nine rooms on this floor. On the first-floor, above the coffee-room, is the drawing— room, supported by Corinthian pillars, and so constructed, that if required, it may be divided into two or three rooms ; two libraries, both supported by Corinthian pillars ; two billiard-rooms ; and Several other rooms. On the second—floor are twenty-six chambers or lodgings, the dimensions of each varying from 22 feet by 14 feet, to 12 feet by 10 feet. On the attic floor there are about thirty rooms, intended for servants. The following are the dimensions of some of the principal apartments :— l~‘t. Ft. Basement ...... Kitchen ............... ‘29 by 2:2 ,, Steward’s room ...... 26 by 18% ,, Butler's pantry ..... 16% by 14 ., Scullery ............... :20 by 14 ., Cook’s room ........ 17 by 1'.’ Ground-l’loor Cotfee-room ............ 117 by ‘28 ,, Writing—room ......... 40 by 27 ,. Reading—mom ......... 28% by '27 ,, House dining-room... ‘29- b) 18 First—Floor . ..Drawing-room ......... 117 by :28 Ft. Ft. ,, Libraries ............... 40 by 27 and 28; by '27 ,, Billiard-room ......... 2‘2 by 18 and '23 by 17% ,, Committee-room ...... 33% by 17% In the whole building, there are upwards of 130 several apartments, arranged with the greatest ingenuity, and with the utmost attention to convenience, and showing that, how- ever great may be our admiration of the beautiful exterior. the interior is not less deserving of our approval and commendation. The “ Carlton” adjoins the Reform, and adds another to the fine structures we have been describinw. The committee of this club, after examining a number of designs submitted in competition by various architects, none of which seem to have met with approval, agreed to elect an architect by the votes of the members. The ballot resulted in the election of Mr. Sydney Smirke and Mr. G. Basevi, who had arranged to act conjointly; but the death of the latter gentleman preventing this being carried into effect, Mr. Smirke was retained by the committee to complete the work. .7 H II I) .7 I) .l f-I .'-l )l .l \‘ 2:39 9% 2:. _, g; _ p g :2 .:. .z. 2 PE. Br 1: .Ft. ,rt .Ft. ‘ LE. LL» .3. .K\ :.__.;..<...._::1L y, I . x '1 7 incl IA!!!» .111 5-1:: I .3, fl. nur- : I!!! 35 .31 Jv..c..J1.\I . Lle. x .« Ln.\H\H. .\?\N...\IVJ1.A.. 11.13 «n. . ,. \ Nanmtxxkxxuwqum ,7. ma N \I\\v\\\..\ \y ax. CLU 17 3 CLU The general design of the building is adopted from that of the library of St. Mark, at Venice. The extent of the frontage in Pall Mall, is 133 feet, and the height is about 70 feet. The fronts are of Caen stone ; the shafts of all the pillars and pilasters, of polished Aberdeen granite ; and the contrast made by the red tint of the latter, has .a novel and pleasing effect. The decorations of the interior, furniture, &c., are of the most tasteful and splendld descrip- non, and the coffee—room, 90 feet by 36 feet, is an exceedingly. handsome apartment. The whole building presents an imposing elevation, designed wlth judgment and good taste. The rooms are of good proportions, and arranged with every attention to comfort and convenience; and the important details of domestic and culinary matters, as cellars, kitchens, larders, and servants’ rooms, have not been neglected. The splendid building belonging to the “ Oxford and Cam- bridge University Club,” erected from the des1gns of Sir Robert and Mr. Sydney Smirke, adjoins the Carlton. .The front of the University club-house extends 87 feet.in “’ldill, and the height from the ground line to the top Is 57 feet. An entablature, marking the separation of the ground story from the principal floor, and projecting forward in the centre of the building over four Corinthian columns, d1v1des the front horizontally into two equal parts. The centre space on the ground—floor is occupied by the portico, which projects to the front line of the area; the entrance to the hall being formed by the centre intercolumniation, which is wider than the rest; the four columns stand upon pedestals, four feet high, with base mouldings and cornice. The upper part of the building is terminated with a delicate Corinthian entab- lature and balustrade, breaking forward with the centre of the building, which corresponds in width with the portico: the front being thus vertically divided into three compart- ments, the side ones assuming the appearance of wings, while the effect of a centre, indicated by the projecting portico on the ground-floor, is maintained throughout the whole height of the building. The angles of the centre division, on the principal story, are formed of rusticated pilastcrs; the principal window occupying the space between these pilasters. Similar rusticated pilasters also divide each wing on the principal floor into three equal oblong recessed spaces, containing windows similar to the window above described. A balcony, projecting 3 feet, continues throughout the whole line of front, the parapet being formed of pedestals with intervening panels of richly designed foliage, cast in metal in high relief, and the landing supported by elaborately enriched consoles. The frieze of the entablature over the ground~story is filled with convex panels, enriched with laurel leaves, and over each column of the portico are shields bearing the arms of the Universities. The whole of the ornamental detail throughout, is designed to correspond in richness of effect with the Corinthian capitals of the columns, which have their central volutes entwined. Below the ground-story are mezzanine and basement stories. In the panels above the windows of the principal floor, are has—reliefs illustrating those exalted labours of the mind, which it is the peculiar province of the Universities to foster. We have not space to describe these beautiful ornaments more minutely, but they are well worthy a careful examination, and reflect credit on the taste of the architects, and on the liberality of their employers. The arrangements of the interior are planned with greatjudgment, and afford every accommodation to the members of the club; but as a great similarity ‘must necessarily exist in all establishments devoted to similar purposes, it is unnecessary to describe them. 0n the opposite side of Pall Mall. is the new building erected for the “ Army and Navy Club,” an engraving of which, j 2 Y with a plan of the ground-floor, is here given. The architects are Messrs. Parnell and Smith. The following description, principally taken from that very useful publication, “The Builder,” gives a good idea of the structure :— “Although the design is based on the Cornaro palace on the grand canal at Venice, it differs materially from that building. The palace has three stories above the basement, Doric, Ionic, and Corinthian, and shows the roof, terminating on the modillion cornice of the upper order, as at the Reform club; the frieze being devoid of sculpture, and having oval openings to light an attic story. In the club-house, the general arrangement of the ground and first floor elevation of the palazzo has been adopted, but coupled Corinthian columns have been substituted for the Ionic of the latter, and the building terminates with the entablature of the order, highly enriched with sculpture and a balustrade. “ The entrance to the building is from George—street, by a flight of steps leading to a recessed portico. On the left of the entrance-hall, is a morning-room corresponding to a coffee-room on the opposite side; there is also a reception- room. The coffee-room is lighted from each end, and an elliptical dome in the centre: the dome has an exterior covering of glass, between which it is proposed to light the room at. night by a gas device encircling the whole circum- ference. By this arrangement, the necessity for any gas- burners will be avoided, and a hot-air chamber provided, which, by the aid of flues, Will afford a system of ventilation. Between this room and the strangers’ coffee-room, lighted and ventilated in the same manner, and communicating with each, is placed the serving—room, connected with the kitchen by a lift, and the butler’s serving—room: from this last is a direct communication to the dispensing cellars, while the room will be fitted up with ice—bins, hot and cold water, and presses for the reception of glass: there is also a separate ntrance from the still-room. At the extremity of the build- .I is placed the house dining-room, which has a separate communication with the kitchen. “ The mezzanine floor is appropriated to the members’ bath and dressing rooms, and the housekeeper’s department. The first—floor is approached by a flight of steps, one branch of which leads to the secretary’s room, and upper floor, the latter containing billiard, card, and smoking rooms—the other to the evening-room, library, and writing-room. The evening or drawing-room is 76 feet by 28 feet; the library, 40 feet by 32 feet; writing-room, 33 feet by 18 feet. There are, besides the rooms we have mentioned, a great number of others of the usual description in similar establishments." It would be impossible, without occupying more space than can be allotted to this article, already extended beyond its due limits, to describe in detail the several handsome mansions in which other clubs, under various designations, have located themselves. The “ University” in Suffolk-street —the “Union,” one of the oldest and most select of London clubs—the “Conservative," latelyerected in St. James’s-street, on the site of the well-known Thatched House Tavern, and a 110st of others, are all deserving the study of the architectural student. In some, beauties of the highest order command his attention; in others, defects, he should mark, in order to avoid ; in all, much may be learned as to arrangement of apartments, and those details of convenience on which so much of the comfort and economy of a large establish ment depends. In conclusion, we would observe only, that whatever may be the faults of some of these buildings, the formation of the present club system has been the means of adorning the west end of London with a number of splendid houses, designed by eminent architects, decorated by artists of repu- CGEM 174 tation and taste; and completed at an expenditure of the most liberal and extensive character. Nor has this been confined to London alone, the example has been followed in the country; and in many of the provincial cities and towns, clubs have been formed, and club-houses built on a scale of magnitude and splendour rivalling those in the metropolis. It is scarcely within our province, to remark on the effect the rapid extension of clubs may have on the usages of society in general; but we may be permitted to say that any system which tends to the adornment of our cities with magnificent structures decorated in the most expensive man- ner, and filled with costly furniture, and luxurious productions in every department of art, cannot but have a refining influ- ence on the taste of the rising generation, while affording employment to professional talent, and to hundreds of skilful artisans. CLUMP, in ornamental gardening, a detached portion of ground, raised in the form of a mound, in lawns, or other parts of pleasure-grounds, for the reception of trees or shrubs on the top, while its sides are covered with flowers or small plants. Clumps differ from borders, in being detached and separate, as well as in being much more elevated. CLUSELLA (Latin, clusum, enclosed,) a small castle within a close or inclosure. CLUSTERED, in architecture, denotes the coalition of two or more members, so as to penetrate each other. CLUSTERED COLUMN, in the pointed style of architecture, a column composed of a number of slender pillars attached to each other, but having each a distinct base and capital. Clustered columns were frequently divided in their height by moulded bands, which gave them the appearance of being bound together. They are sometimes attached to the shaft throughout their length, and sometimes only at the capitals and bases. CLUSTERED COLUMN, in the Roman style, is said of two, or four columns, which seem to intersect or penetrate each other, either at the angle of a building or apartment, that they may answer each return; or under an'entablature, when a single column would be too weak; or at the inter- section of two transverse architraves: in the latter case, there may be four columns. COATING, in a general sense, denotes the covering of a body in one or several plies 0r thicknesses; thus, walls are spread over with one, two, or three separate coats of plaster; the interior apartments of houses are covered with several coats of paint ; works in wood are covered with paint, pitch, lead, copper, 8tc.; baser metals are covered with the richer, as copper with gold or silver, and silver with gold; for culinary purposes, copper is covered with tin, as is iron also, to prevent rust. COB-WALL, a wall built of straw, lime, and earth. COCHLEARE, or COGLA, a lofty round tower, ascended by means of a winding staircase; from the Latin, cochlea, winding stairs. COOKING, a method of securing beams to wall-plates, by notching each beam at the end on the under edge, across its thickness, nearly opposite to the inner edge of the wall~ plate, and cutting two reverse notches out of the top of the wall-plate, leaving the part whole which is opposite to the notch in the beam; then laying the beam to its place, it will slide down, and the corresponding parts will fit into each other. This method prevents any possibility of the beam drawing longitudinally out of the wall-plate, even though the timbers should afterwards shrink. COCKLE-STAIRS, a winding staircase. Sec STAIRS. CGEMETERIUM. See CEMETERY. COFFER, a recessed panel, of a square or polygonal figure, anciently used in level soflits, and in the intradoses of cylin- drical vaults. In the remains of Grecian and Roman architecture, the coffers sometimes recede in one degree, but more frequently in several degrees, like inverted steps, around the panel, each internal angle being filled with one or more mouldings. In Roman works, the surface of the panel at the bottom is mostly covered with a rosette. Sometimes the bands between the framing are divided into two equal parts, by a groove or canal of a rectangular section. Cotfers are also employed in the sofiits of the cornices of I the Corinthian and Roman orders, between the modillions. For the farther use of coffers, and other matters relating to them, see CEILINGS and CYLINDRICAL VAULTS. COFFER, in inland navigation, a large wooden vessel, open at the top, with movable ends, of suflicient capacity to reCeive , a barge or vessel from the pond of a canal, in order to be raised into a higher, or let down into a lower pond. This coffer is a substitute for a lock. COFFER—DAM, a hollow dam, constructed of a double range of piles, with clay rammed between, for the security and convenience of the workmen while digging out and building the foundation of an entrance-lock to a dock, bason, or canal, when it cannot otherwise be laid dry. In bridge-building, the term is applied to a case of piling fixed in the bed of a river, without any bottom, for the pur- pose of building a pier dry. Its sides must, therefore, reach above the level of the water, and, after it is fixed, the water must be pumped out by the engines, which, unless the work is very carefully done, must be kept constantly at work, to prevent leakage as much as possible. Coffer-dams are made either double, or single. In the double one, the space between the inner and outer rows of piles is rammed with clay or chalk; the piles are driven as closely as practicable to each other by means of a pile engine, till fixed firmly into the earth ; sometimes they are grooved and tongued; sometimes they are grooved in the sides, and fixed at a distance from each other, with boards let into the grooves. The first writer on the use of cotter-dams was Alberti, who, chap. vi., book 2, gives the following directions : “Make the foundation of your piers in autumn, when the water is lowest, having first raised an enclosure to keep off the water, which may be done in this manner: drive a double row of stakes close to that side of the row which is next to the intended pier, and fill up the hollow between the two rows with rushes and mud, ramming them together so hard, that no water can get through; then, whatever you find within the enclosure—water, mud, sand, or whatever else is an hinderance to you—throw them out, and dig till you come to a solid foundation.” To this we may add, where the river is rapid and deep, and the bed of solid earth or clay, the cotfer-dam must be constructed with three, four, five, or eVen six rows of piles, according to the rapidity and depth of the stream. from fixed points, as well as to make the whole water-tight, by ramming in chalk or clay, as above directed. \Vhere the river is rapid and deep, and the bed of a loose consistence, though the sides be never so firm, the water will ooze through the bottom in too great abundance to be taken out by the engines, recourse must therefore be had to a caisson. See CAISSON. The following is a description of the very large coffer-dam made at the New Houses of Parliament, for building the embankment, or river-wall. This dam was 1,236 feet long, and 10 feet wide, constructed in the following manner :— a trench was first made by dredging in the bed of the river, Due care must also be taken to brace the sides well ' COL l7 5 COL of the form of a segment of a circle, 27 feet wide, and 8 feet deep in the centre, to allow the piles to drive more easily; two parallel rows of guide or main piles were then driven about 5 feet apart, leaving a width of 9 feet between them transversely: to these piles were fixed three tiers of waling of whole timbers, cut down and bolted together, one tier being fixed at the top on a level with high-water mark; another level with the bed of the river; and the third mid- way. The piles and waling were then bolted across with iron bolts 12 feet long, forming a carcass for the inner or sheet-piling; the inner main piles being also firmly braced to resist the pressure at high-water. Horizontal struts of whole timber, also, at the back of the brace-piles abutted against other piles driven just within the inner edge of the foundation of the wall. The piles were 36 feet long, driven through the gravel, and 2 feet into the clay, the top of which is 28 feet below high- water mark. \Vithin the waling were two parallel rows of sheet-piling; the outer or river—side of whole timbers—the inner or land-side of half-timbers. After all the piles were driven, the gravel forming the bed of the river between the piling was dug out down to the clay, and the space filled in with clay, and puddled. For the purpose of pumping out the water, a ten-horse power steam-engine was erected, which was kept at work night and day; and considering the great extent of the dam, it is remarkably free from leakage. It occupied fourteen months in its construction. COFFIN, (Greek KO¢U'OQ, a basket,) the chest or box in which dead bodies are deposited for burial. In ancient times coffins were usually constructed of stone, and sometimes highly ornamented, as is evidenced by the remains of Egyptian and other sarcophagi which have been brought to light. In England likewise stone cofiins were anciently used, frequently formed of a single block hollowed out to receive the body; the shape was that of a trapezium, having the end where the head lay slightly wider than the other extremity; they were Covered with a lid, which was either flat or coped, and often sculptured with crosses and other emblems. They were sometimes buried in the ground, though not deeply, sometimes only up to the lid, which was visible above ground, and some- times placed entirely above ground. COGGING, the same as COOKING, which see. COIN, or QUOIN, (from the French coin, a corner,) the angle made by two surfaces of a stone or brick building, whether external or internal; as—the corner of two walls, the corner of an arch and a wall, the corner made by two sides of a room, 8w. COIN, Rustic. See RUSTIC. COIN, (from the Latin, cuneus, a wedge,) a block out obliquely at the bottom, but level at the top, to rest upon an inclined plane, for supporting a column, or pilaster. COLARIN. See COLLARINO. COLLAR, a ring, or cincture. COLLAR-BEAM, a beam in the construction of a roof, above the lower ends of the rafters, or base of the roof. The tie-beam is always in a state of extension, but the collar-beam may either be in a state ofcompression or extension, according as the principals are with or without tie-beams. In trussed root's, collar-beams are framed into queen-posts; and in common roofs, into the. rafters themselves. Though trusses in general have no more than one collar-beam, very large roofs may have two or three collar-beams, besides the tie-beam. Collar-beams Wlll support or truss up the sides of the rafters, so as to keep them from sagging, without any other support; but then the tie-beam would only be supported at its extremities. In angles between the rafters and the upper edges of the collar- beams. See TRUSS. COLLARINO, or COLARIN, that part of a column which is included between the fillet below the ovolo of the capital, and the upper side of the astragal at the top of the shaft. The collarino is to be found in the modern Tuscan and Doric orders, but not in the three Grecian orders, except in the Ionic of the temple of Erechtheus, at Athens, and in some fragments of Ionic columns found in Asia. The collarino, or colarin, is otherwise denominated th neck, gorgerin, or hypotrachelion. ‘ COLLEGE, a public building, endowed with revenues for the education of youth and their instruction in the various branches of science and literature. An assembly of colleges constitute a university. Our colleges consist, for the most part, of one or more quadrangular areas, surrounded by ranges of buildings, which comprise a house for the superior, and rooms or lodgings for the fellows, scholars, &c.; besides which there is always a chapel and refectory, or dining hall. Amongst our finest buildings of this class are those of Christ Church and Merton Colleges, Oxford, which, with many others at the same university, as also at the sister institution at Cambridge, are magnificent specimens of the architecture of their respective dates. In writing on this subject, we must not pass over in silence the foundation and erection of St. Augustine’s College, Can- terbury, abuilding which may vie with many an older struc- ture of the same kind, as well in its architectural, as its educational features. This college comprises only one area, which is of a quad- rangular form, three of its sides only being occupied with buildings, the fourth at present consists but of a wall; but the space is intended to be built upon as occasion demands. The three sides already occupied are the north, east, and west, the cortile on the southern side being enclosed by the wall; of these, the buildings on the two first, the northern and eastern sides, are elevated on a raised terrace, while those on the south are on a level with the entrance. The materials employed for the walling are for the most part flint, with dressings of rag-stone, and, in other cases, rag with Caen stone dressings. The style adopted is the Decorated of the fourteenth century; in the chapel‘are some parts of an earlier date, but in other respects the architecture of Edward the Third’s reign predominates. On entering under the fine old gateway on the southern side, the object which probably first attracts our attention is the long range of beautiful windows on our left. The long pile of buildings on this side of the quadrangle is raised, as we before mentioned, on a broad paved walk, or terrace, and consist besides of two stories, the lower presenting, on the exterior, a series of large, closely-set windows, with interven- ing buttresses; and the upper a row of nearly double the number of windows, but of much smaller dimensions, and with larger intervening spaces. The lower windows are divided by mullions into five lights, and their arched heads are filled with tracery of good design ; while the windows of the upper story are of the most simple description, being but plain lancets of one light. This length of building is judi- ciously broken up into three parts by two stair-turrets, which give access to the apartments above; and by a door at the side, entrance is obtained to the lower story; one of the tur- rets is used likewise for a belfry. The doors on the terrace give entrance to a long covered ambulatory, 151 feet in length, lighted by eight fine windows, which we have noticed above, and covered with a flat roof showing the timbers, with common purlin roofing, the purlins are laid in the acute arches spanning across ut intervals where required. Out of i ”A, “HANNA ‘xr__‘ ~¢fl~~ COL l; n 6 COL this cloister )pen twenty apartments for the students, of which above thirty more open into a corridor in the upper story. The arrangement of these apartments is the same throughout: they measure 15 feet by 8 feet 6 inches, and are d1v1ded by a partition into two rooms. The furniture of the rooms con- sists of an iron bedstead, a fixed and compact washhand-stand, a fixed table, having on one side drawers for clothes, and on the other a drawer for writing materials, and above the table shelves for books fixed against the wall; an elbow-chair and two others complete the furniture. The rooms are well ven- tilated, and heated by hot water, one of the few arrangements which we have to find fault with. Level with these buildings, but at right angles to them, on the eastern side of the area, and detached, stands the library, perhaps the most dignified building of the whole group. Raised upon a crypt, the proportions of which are old, and the details copied and of great simplicity, is a vast apartment 78 feet long by 39 feet broad, with massy buttressed walls, and large traceried and transomed windows, surmounted by a magnificent open roof of oak, the ridge of which is 63 feet high from the level of the terrace. A noble flight of .fifteen steps, approached by an ample arch, and contained Within a porch roofed at right angles to the main pile, and lighted by four windows, affords a means of entrance at the southern extremity. This library is well lighted by thirteen large win- dows, six on each side, and one at the north end; they are each of four lights, being divided vertically by a mullion, and horizontally by a transom, and have trefoiled heads. The disposition of the windows naturally divides the interior into six compartments. The crypt upon which this building is erected, is raised on the foundation of the great refectory belonging to the ancient establishment, and is to serve the purpose of a museum. It is lighted from the exterior by small lancets, and is divided internally by ten pillars into three aisles of equal width; the ceiling is groined, and the floor paved with red tiles. The roof of this building, as also that of the last, is tiled and crested with ridge-tiles; the materials of the walling, however, vary, the library being built of uncoursed rag, with dressings of Caen, while that of the northern range is of flint. Descending from the terrace, the most important building of the western range is the chapel, but it will be well to leave this for the present, and starting from the southern extremity of the library, follow out the lucid description afforded to us in the Ecclesiologist:——— “ Going from this point in a south-west direction, we come to a range of buildings containing the apartments for the fellows, each of whom will have two rooms and a gyp-room, and the~warden’s lodge, a spacious and connnodious family residence. These are of flint, in good middle—pointed, and in many respects show great ability. Still we confess we think them the least admirable parts of the design. Northward of these, and projecting considerably from their level eastward into the court, is the chapel to which we shall recur after speaking of the refectory and kitchen, whichrange northward of the chapel between it and the ancient gateway at the north-west corner of the quadrangle. The refectory is a fine room, with a roof the humbleness of which is redeemed by its being mainly original—no oriel, (the shell of the walls being ancient,) but with a dais and tables, and a cleverly-con- trived range of closets at its south extremity. Northwards it communicates with a common room, and a beautiful room, intended, we believe, for a muniment-room, or, for the pre- sent, a lecture-room, occupying the upper story of the ancient gateway. Below the refectory is the kitchen, with a fine chimney projecting eastwards into the quadrangle, while offices and aporter’s lodge extend under the common room to the entrance-gate. A steep and narrow flight of stairs between the chapel and refectory, the kitchen-door being at their feet, reaches a small landing, from the right or north of which you enter the hall, while immediately opposite, on the left hand, is the entrance to the chapel. “ The chapel is entered at the north-west, through a small ante-chapel lighted by the restored western triplet of the ancient fabric, and parted from the body of the chapel by a bold arch, sustaining a double bellcote externally, and filled with a proper screen. Within the screen extends the solemn length of the chapel, the small dimensions being quite for— gotten in the beauty of the proportions: returned stalls, with miserere seats and back panelling of unexceptional style and taste, with subsellae to match, mark the choir. Eastwards the sanctuary, though small, is beautifully treated and suffi- ciently dignified. The measurements are as follows: length, 60 feet; width, 18 feet; height from floor to wall-plate, 14 feet 6 inches; from floor to ridge, 30 feet 6 inches. The lighting of the chapel is peculiarly effective: a five-light middle-pointed east window, and two adjacent couplets north and south of the sanctuary, concentrate the light on the altar. The side-walls are unpierced, and the choir is consequently religiously sombre, the windows of the ante-chapel, however, sufficiently removing it from gloom. There is no colour on the walls or roof; in fact, none but the stained glass with which all the windows are filled. The whole effect is one of real, unpretending, earnest effectiveness, an austere and unworldly beauty. The stained glass chosen throughout, with a depth of meaning, itself a homily, betrays a world of thought in its distribution. “ Mr. Butterfield is peculiarly successful, we think, in his treatment of encaustic tiles. Those used in the chapel appeared to us most judiciously chosen and arranged. The footpace of the altar in particular was a beautiful mosaic of bright colours and intricate design. “ The ante-chapel is furnished with a few open seats- intended for the use of the family of the warden and of the servants of the college. The choir is thus appropriated. exclusively to the use of the foundation and the students. “ We rejoice to add, that there are no fixed altar-rails, though there is movable railing for the use of the communi- cants. A litany-stool occupies the middle of the choir. The lessons will be read from letterns fixed one on each side in the upper ranges of stalls. A rather large hole, furnished with a shutter, near the wall-plate on the north side, for ventilation, deserves notice for the boldness and simplicity oi the idea. “ we should mention that the chapel is raised on a crypt vaulted and designed to serve as a sacristy. The bells are rung from a western bay, open and vaulted, occupying the. space under the ante-chapel, the ropes passing through tllil floor by the screen, and so reaching the bells in the bellcote‘ before noticed, which is by the way one of the less successfu parts of the design. “ It is with unfeigned pleasure we again congratulatc. Mr. Butterfield on his success in this most interesting work. which will, we really think, ensure him enduring and mos- deserved fame amongst English church-architects.” COLLEGIATE CHURCH. a church to which is attacheo: an ecclesiastical establishment of deans, wardens, and fellows which, before the Reformation, consisted of a number of secula canons living together under the government of a dean, wan den, provost, or master. COLOGNE EARTH, a substance used by painters as water-colour. approaching to amber in its structure, and c a deep brownish tinge. COL 177 COL COLON ELLI (from the Italian) truss-posts, or the posts of a truss-frame. COLONNADE, (from the Italian colonna,) a range of attached or insulated columns, supporting an entablature. The interval between the columns, measured by the inferior diameter of the column, is called the intercolumniatz'on. and the whole area between every two columns is called an inter- column. When the intercolumniation is one diameter and a half, it is called pycnostyle, or columns thick set ; when two diameters, systyle; when two and a quarter, eustyle; when three, diastyle,- and when four, arwostyle, or columns thin set. Columns are sometimes set two and two together, having half a diameter for the smaller interval, and three and a half diameters for the larger; this disposition is termed arwosystyle. A colonnade is also named according to the number of columns which support the entablature, or fastigium; as, when there are four columns, it is called tetrastyle ; when six, hexastyle ,- when eight, octastyle; and when ten, decastyle. The inter- columniations of the Doric order are regulated by the number of triglyphs, placing one over every intermediate column; when there is one triglyph over the interval, it is called mono- iriglyph ,- when there are two, it is called ditriglypk ; and so on, according to the progressive order of the Grecian nume- rals. The intercolumniation of the Grecian Doric is almost constantly the monotriglyph, for there are only two deviations from this to be met with at Athens; the one in the Doric portico, and the other in the portico forming the entrance to the Acropolis, or citadel ; but these intervals only belong to the middle intercolumniations, which are both ditriglyphs, and became necessary on account of their being opposite to the principal entrances. As the character of the Grecian Doric is more massive and dignified than that of the Roman, the monotriglyph succeeds best ; but in the Roman it is not so convenient, for the passage through the intercolumns would be too ‘narrow, particularly in small buildings; the ditriglyph is therefore more generally adopted. The araeo- style is only applied to rustic structures of the Tuscan order, where the intercolumns are lintelled over with architraves. When the solid parts of the masonry of a range of arcades are decorated with the orders, the intercolumns necessarily become wide, and the intercolumniation is regulated by the breadth of the arcades and of the piers. Buildings with a colonnade projecting at one end are termed prostgle; with a colonnade at both and opposite ends, amphi- prnstyle; with the same on all sides of the building, peristyle ,- and with a double range of columns, polystyle. It does not appear that coupled, grouped, or clustered columns ever prevailed in the works of the ancients; though, on mar y occasions, they would have been much more useful: we indeed find, in the Temple of Bacchus, at Rome, columns standing as it were in pairs; but as each pair is only placed in the thickness of the wall, and not in the front, they may rather be said to be two rows of columns, one almost imme- diately behind the other. In the baths of Diocletian, and in the Temple of Peace, at Rome, we find groined ceilings sus- tained by single Corinthian columns; but such a support is both meagre and inadequate. Vignola uses the same inter- columniation in all his orders. This practice, though con- demned by some, is founded upon a good principle, for it preserves a constant ratio between the columns and the inter- vals. Of all the kinds of intercolumniation, the eustyle was in the most general request among the ancients; and though, 'h modern architecture, both the eustyle and diastyle are employed, the former is still preferred in most cases: as to the pycnostyle interval, it is frequently rejected for want of room, and the arwostyle for want of giving sufficient sup- port to the entablature. 2z The modems seldom employ more than one row of columns, either in external or internal colonnades, for the back range destroys the perspective regularity of the front range; the visual rays coming from both ranges produce nothing but indistinct vision to the spectator. This confusion, in a cer- tain degree, also attends pilasters behind a row of insulated columns; but in this the relief is stronger, owing to the rotundity of the column and the flat surfaces of the pilasters. When buildings are executed on a small scale, as is frequently the case in temples, and other designs, used for the ornaments of gardens, it will be found necessary to make the inter- columniations, or at least the central one, broader than usual, in proportion to the diameter of the columns; for when the columns are placed nearer each other than three feet, the space becomes too narrow to admit more than one person conveniently. COLISEUM, or COLOSSEUM, the amphitheatre at Rome, built by the emperors Vespasian and Titus. See AMPHI- THEATRE. COLOSSEUM. Although it scarcely falls within our pro- vince to describe places of amusement considered merely as such, the structure known under the name at the head of this article. deserves, from its peculiar form, and the extreme taste displayed in its interior decorations, something more than a passing notice. The Colosseum, designed by Mr. Deci- mus Burton, is, in external form, a polygon of sixteen sides, of which the diameter is 130 feet. In the attic, all the faces of . the polygon are shown ; but below, three of them are occupied by the portico, a Doric hexastyle of about 70 feet in width. This order is here exhibited upon a much larger scale than had previously been done in any building in the metropolis, with the advantage of an effect not attainable with fewer columns, and with the still greater advantage of its character not being impaired by the introduction of features irrecon- cileable with any aim at a strictly Grecian style, there being no other within the portico than a single lofty doorway. “In its general form,” observes Mr. W. H. Leeds, whose criticisms are always entitled to attention, “ this edifice must be referred to a Roman rather than a Grecian prototype, namely, the Pantheon, which circumstance it probably was that led one writer, who has attempted to describe the building, into a ludicrous blunder, for he has not scrupled to assure his readers, that its portico is copied from that of the Pantheon at Rome, “ which, in the harmony of its proportions, and the exquisite beauty of its columns, surpasses every temple on the earth l” Had he said that it was copied from Canova’s church at Possagno, he would have been some degrees nearer the mark, at least as far as resemblance in regard to the order adopted, and the application of a Grecian style to the plan of the Roman Pantheon. Mr. Hosking, in his “ Treatise on Architecture,” objects to the combination of the square and circle in the plan; observ- ing, “Irregular and intricate forms in works of architecture, whether internally or externally, will be found unpleasing. Few can admire the external effect of the Pantheon, or of the structure in London called the Colosseum, which has been subjected to the same arrangement, though certain fea- tures in both may be good.” Yet, with due deference to the opinion of such an authority, we should be inclined to demur to it, even had we not Canova’s own example to oppose to it. In itself irregularity is a fault; but then the question is, whether the slight degree of it thus produced can be fairly termed so; besides which, by pushing the doctrine a little further, we may contend that a parallelogram is an irregular square, consequently faulty, and the flank and front'of a Grecian temple do not exhibit that uniformity which they might and ought to be made to do. But we need not resort to any argument of that kind, because, were it not for the irregularity censured by that writer, and caused by the addi- tion of a portico to the circular part of their plan, both the buildings he mentions would appear heavy, lumpish masses, whatever decoration might be bestowed upon them. The Colosseum was built for the purpose of exhibiting a panorama of London, on a scale of magnitude hitherto un- attempted. The projector made his sketches from an observa- tory placed on scaffolding several feet above the top of St. Paul’s cross ; these sketches were afterwards transferred to the canvass, and in their finished state display the whole of this vast metropolis and its environs, as it would appear on the clearest day, and aided by the most powerful visiOn. To use the somewhat magniloquent language of a contemporary, the spectator “ sees beneath the summer sunshine of a serene sky, divested of the usual canopy of smoke and vapour, this great metropolis, with its countless multitude of streets and squares, its churches, palaces, mansions, hospitals, theatres, public offices, institutions scientific and literary; its noble river, with its numerous bridges; and in the distance a rich and varied expanse of rural and sylvan scenery, extending from the woodlands of Kent and Essex in the east, to the forest and castle of Windsor on the western horizon. Recover- ing from the wonder created by this first View of the picture as a whole, he finds new cause of astonishment in examining it in detail; for not only may the prominent structures be discerned and known, but every private residence in town or country, which is visible from St. Paul’s itself, be recog- nized in the representation; and the various objects in the foreground, as well as in the distance, will bear the test of the telescope. To increase the effect, improve the conve- nience for inspection, and, at the same time, to augment the means ofjudging of the merits of the performance as a work of art, there is a succession of galleries, the highest of which is constructed for the purpose of giving a more satisfactory View of the distant country; an easy ascent from the galleries leads to an esplanade, on the circle that crowns the exterior of the Colosseum, from which is beheld a real panorama formed by the Regent’s Park and its elegant vicinity.” Since the above description was written, the Colosseum, as a place of amusement, has suffered many vicissitudes, and at one time had fallen very low in public estimation; in the year 1844, however, it fell into the hands of the present pro- prietor, who has expended very large sums in completely remodelling the whole establishment. The alterations considered desirable were made from the designs and under the direction of Mr. lVilliam Bradwel], whose taste, skill, and judgment have, in this instance, as in many others, produced the most admirable results. The ability he has displayed has been seconded by the proprietor with the greatest liberality, and the unhesitating appropria- tion of whatever amount of capital might be required to carry out the conceptions of the talented artist employed. There are two entrances, one in the Regent’s Park under the portico, the other in Albany Street, at the back of the building. Entering by the former, the visitor proceeds down a handsome staircase to a vestibule, leading to a large saloon, called the Glyptotheca, or Museum of Sculpture. The roof of this apartment presents to the eye a lofty dome, of several thousand feet of richly cut glass, springing from an entablature and cornice supported by numerous columns. The frieze is enriched with the whole of the Panathenaic procession from the Elgin Marbles, and is continued without interruption around the entire circumference of the hall, above which are twenty fresco paintings of allegorical subjects on panels, the mouldings, cornices, capitals of Columns, and enrichments being in gold. Beyond the circle of columns is another of .is really well worthy of admiration. as many pilasters, dividing and supporting arched recesses, in each of which, as well as between the columns, are placed works of art from the studios of many eminent sculptors. In the centre of the apartment is the circular frame—work enclosing the staircase leading to the panorama; this is hung with drapery tastefully disposed, from the summit of the arched dome to the floor, concealing the stairs, and harmoniz- ing with the prevailing tints of the architectural decorations. Around this are seats covered with rich Utrecht velvet, raised on a dais, and divided by groups of Cupid and Psyche supporting candelabra in the form of palm-trees; the figures being white, and the draperies, leaves, plumes, &c., gilded. From this hall, the visitor ascends to the panorama by the staircase, or is raised in a small room, called the Ascending Room, which is elevated by means of machinery to the required height. A panorama of Paris by moonlight has now succeeded to the panorama of London before mentioned, and seems to attract as much as the former picture. Since the erection of what may be termed the original struc- ture, a considerable addition has been made to it on the eastern side towards Albany Street. Here is a second entrance, leading by large folding doors into a square vesti- bule, and thence into an arched corridor, lighted during the day from above- by circles of cut glass; and at night by numerous bronze tripods. Descending to the basement story by three flights of steps, the visitor enters a spacious saloon, supported by columns and pilasters, appropriated to the sale of refreshments; from this room ornamented glass doors lead to conservatories, aviaries, and other objects of interest. In the upper story of this part of the building a handsome little theatre has been formed, the decorations of which are of the most gorgeous character. In this theatre is exhibited a moving picture called the “ Cyclorama,” in which a represen- tation is given of the great earthquake at Lisbon in the year 1755. As a work of art, the panorama is deserving of high praise, and aided by the labours of the machinist, and the inventive ability of Mr. Bradwell, the presiding genius of the establishment, a scenic illusion has been produced, which Altogether the Colos- seum is deserving the attention of the architectural student, as something beyond a mere place of amusement. In it he may learn how much may be done in the way of decorative art, by a tasteful arrangement of those materials which the sister arts place at his disposal. COLOSSUS, at Rhodes, a celebrated statue of Apollo, made of brass, popularly supposed to have been erected over the entrance of the harbour in such manner that a foot stood on each pier, and ships passed through its extended legs. This statue, of which Pliny has left an account, was begun by Chares, a pupil of Lysippus, were employed in making it. and completed by Laches; twelve years , Its height was 105 feet; the : thumb was so large that few men could span it, and its fingers a were much larger than those of ordinary statues. It was » cast hollow, and filled with large stones, to counterbalanceits « weight, and keep it steady on its supporters. “'ithin was a winding staircase ascending to the top, where, it is said, was hung a vast mirror, in which the country of Syria, and ships entering the ports of Egypt, might be discerned. The notion that its legs rested one on each side of the harbour does not, however, seem to be supported by any good authority, and. modern travellers do not agree as to its site. After standing upwards of sixty years, the Colossus was overthrown by an earthquake in the year 224 15.0., by which also the buildings of the city suffered greatly. So great, at that « time, was the commercial importance othodes, that the great princes 0f the day vied with each other in the muniticence 0t COL 179 COL their presents to repair its losses. The inhabitants of Rhodes sent ambassadors to all the states of Grecian origin, to solicit their assistance for repairing and re-erecting their statue, and obtained a sum more than five times equal to the damage. The principal contributors were the kings of Macedon, Syria, Egypt, Pontus, and Bithynia. But, instead of appropriating the money to the purpose for which it was given, the Rhodian priests pretended that the oracle of Delphi had forbidden it; and the money was converted to other uses. The Colossus, therefore, lay neglected on the ground for 894 years, when the Saracens, becoming masters of the island, sold it to a Jewrsh merchant, who broke it up, and loaded 900 camels with the metal: the weight of the brass, therefore, allowing 800 pounds for each load, after the diminution it had sustained by rust, and probably by theft, amounted to 720,000 pounds weight. This enormous figure was not the only colossal statue that attracted notice in the city of Rhodes, for Pliny reckons near 100 others. From the Rhodian Apollo, it is supposed, that every statue exceeding in magnitude the size of a man, has been called a colossal statue. COLUMBARIA, the holes left in walls for the insertion of timbers; also the recesses in ancient tombs, in. which the urns containing the ashes of the deceased were deposited. COLUMELLE, the same as balusters. See BALUSTRADE. COLUMN, (Latin, columna, derived from columen, a post, or supporter) in a general sense, a vertical support of a body, or portion of a building. The use of columns is of very early date, as we hear of their application both in the Temple of Solomon, and in the Palace of Ulysses; they do not seem to have been employed in the primeval erections of Babylon, where their place was supplied by piers, but are to be found in universal application in the ancient structures of Egypt, India, and Persia. The column is so important a feature in the construction of buildings, that its value must have been early known, and when known, must soon have formed a subject for ornamen- tation; its origin is to be found doubtless in the simple pier, and a very good specimen of its progress in improvement of form and in application of ornament, is to be seen at Amada, in Nubia, where, amongst other columns or piers in the form of a simple parallelopiped, with base and capital of a similar form, but projecting a little beyond the surface of the shaft, those at the corners of the building are both cylindrical and fluted, leaving however a square abacus or capital, and square base, similar to the others. The former is undoubtedly the primitive shape; the latter, previously of the same form, whether for convenience or otherwise, has been rounded off at the corners, and somewhat ornamented. Such improve- ments, both in form and decoration, gradually progress, until we arrive at the well-proportioned and tastefully-enriched columns of the classic orders, or the still more beautiful pillars of the Gothic styles. The columns of Egypt exhibit a great variety both in form and decoration: the capital in the shape of a vase or inverted bell, is usually decorated with foliage, frequently with the leaves of the lotus, but is of less elegant form than similar capitals of Greece and Rome; the shaft is generally circular, but sometimes square or polygonal, and varies in diameter at different heights, the thickness, in some cases, diminishing both towards the capital and base; this last member, the base, is frequently absent in Egyptian exam- ples, and when present is of the simplest kind, consisting of a square slab or plinth. The columns were of stone, not unt'requently of a single block, and, at other times, of gigantic masses placed one upon the other. “There is a peculiarity, however,” says Mr. Hamilton, “in the columns of the portico of Ashmounein not found, we believe, elsewhere in Egypt. Instead of being formed of large masses placed one above another, they consist of irregular pieces fitted together with such nicety, that it is difficult to detect the lines of junction; and this illusion is aided also by the form of the columns. The bottom is like the lowest leaves of the lotus, after which we see a number of concentric rings, bind- ing the column just like the hoops of a cask; and again above them the column is worked in such a way by vertical cuttings, to present the appearance of a bundle of rods held together by hoops; the whole has the appearance of a barrel; the columns are about 40 feet high, including the capitals. Their greatest circumference is about 28%; feet, at the height of 5 feet from the ground, for the column diminishes in thick- ness both towards the base and capital. These columns were painted yellow, red, and blue. Similar pillars are found in the temple of Gournon.” Reeded columns, which bear the appearance of a bundle of reeds bound together at intervals and set on end, are not uncommon, and are often surmounted with a bulging capi- tal, which is of similar formation to the shaft, with a cincture at its lowest part, and square flat abacus on the top, bearing the entablature; the swell or bulging would appear to be caused by the pressure of the entablature. Square columns are to be found in the excavations at Thebes, and triangular ones are spoken of by Pococke; at Ypsambool are square columns or piers with caryatid figures in front of them. The forms of columns found in India vary considerably. In the subterraneous temples, which are excavated out of the solid rock, they are generally of a massive character, and in proportions stunted; they are rather grand than graceful. The bases are frequently cubical, and of great height in pro- portion to the shaft, sometimes equal to it; they are at other times octangular: the shafts are circular, or multangular, and sometimes consist of both forms one above the other, surmounted by low, compressed capitals. Columns of a balustral form are to be seen at the Temple of Elephanta; they are about 9 feet high, supported on cubical bases about 6 feet in height; the capitals, of a semicircular profile, exhibit the appearance of compressed cushions, and with the shafts, are ribbed or reeded: the whole is surmounted by an abacus of the form of an inverted truncated pyramid. Some very curious columns are to be seen in a cave at Ellora, which consist of elephants bearing castles, and surmounted at the top by a capital or abacus. In the pagodas, or constructed temples of the Indians, the columns are of an entirely different appearance, they are by no means so stunted, and are often of quite an opposite cha- racter, slender; such are those in that part of the pagoda of Chillambaram called the Nerta Chaboei ; they are, in all cases, profusely enriched with sculpture. The capitals of the columns are frequently made more effective to the sup- port of the entablature by extending them out in the shape of brackets, so as to leave but a small portion of the entabla- ture unsupported. Sometimes a succession of brackets pro- ject from the adjacent columns one above another, and meet in the centre, so as to leave no portion unsupported. Of Persian columns we have but few examples remaining, but from these we may conclude that they were of slender proportions, the height of some of the existing specimens being as much as 70 feet, while their diameter is but 5% feet. Some of the shafts are fluted with fillets intervening, and are raised upon a base 4 or 5 feet in height, finished with sculp- tured mouldings. lVe have specimens of two kinds of capitals, the one consisting of small scrolls, somewhat similar to the volutes of the Ionic capital, placed in rows one above the other on the sides at the top of the shaft; the others l l l COL 180 COL projecting from two opposite sides of the shaft, after the manner of brackets or corbels, and sculptured into the shape of the fore-part of an animal, which in some degree resembles a horse. These columns must have possessed a. considerable share of simplicity and elegance. Of the columns of the Grecian or Roman orders we need say nothing in this place, not only because their forms are so well known, but also because they are so fully and minutely described in other parts of this book, and amply delineated in its illustrations. Some few remarks as to their form, 8:0. is appended to this article. In those styles of architecture which immediately succeeded the Roman, and were indeed but debased copies of it, the column followed the general form and character of the original; some were formed of portions of columns taken from Roman buildings, and piled together indiscriminately in the new structures, which destroyed their proportions, while it preserved their form and details. Out of this chaos arose the styles afterwards prevalent in Italy and that portion of the continent, and we may add in Greece; for doubtless Byzantine architecture, although in a certain sense a distinct style, borrowed largely, both in its general features and its details, from the edifices of the deserted capital; indeed a debased imitation of the Corinthian column was very preva- lent in the buildings of Constantinople. The copy was more successful in some instances than others, the foliage being frequently of very inferior design, and only carved out slightly in relief above the surface. The more characteristic capitals of the Byzantine style consisted of mere truncated pyramids inverted and ornamented with a kind of basket- work in low relief. In Lombardic columns the base is frequently but a simple square block, rounded off at the top, though it sometimes consists of a carved lion or other monster supporting the shaft on its back ; such bases are frequent in porches and in smaller structures, as tombs, 8m. The shafts, especially of the larger columns, are circular, and of the same diameter from top to bottom; the proportion between the height and diameter varies very considerably, according to the purpose of the column and its material; when the weight to be sup- ported is great, or the material used but little compacted, the shaft is low and massive; but. when the weight is inconsider- able, it becomes tall and slender, and is sometimes divided in its height by moulded bands. Columns are sometimes coupled together, standing either side by side, or one in front of the other, of both which arrangements we have examples in the cloisters of S. Lorenzo and Santa Sabina, at Rome, where either arrangement is copied in the alternate piers; quadrupled columns are to be met with in the church of Boppart. When columns are attached to walls or piers, they not unfrequently have smaller shafts either before or beside them, somewhat similar to the clustered columns of later date; these smaller shafts, however, are never prolonged in the shape of ribs of a vault. The shafts of the smaller columns are not unfrequently polygonal, fluted, or reeded, and are sometimes formed of small shafts twisted together in a spiral line. The capitals are, for the most part, barbarous imitations of the classic orders, more usually Corinthian, and are sometimes ornamented with spear-heads, and scroll or fret-work, while some again are formed of animals real and monstrous, and ornamented with grotesque designs of all descriptions. We have now arrived at the period of Gothic art, when the forms, proportions, and ornamentation of columns became of infinite variety, subject to no law save that of beauty and utility; so that to attempt to describe them in this place would be futile. We have them of all proportions save the stunted, and of all degrees of decoration, some with simple mouldings, others with foliated capitals; some with single shafts, others clustered; some circular, others polygonal. These, as is necessary, will be considered in detail, for which we refer to the various subdivisions into which the Gothic style is usually distributed. COLUMN, in the orders of classic architecture, consists of a conic or conoidal frustum, called the shaft, tapering upwards in the manner of a tree, with an assemblage of parts at the upper extremity, termed the capital, and with sometimes another assemblage of parts at the lower extremity, called the base. The capital finishes with a horizontal table, either square on the plan, or capable of being inscribed in a square, called the abacus. The base, also, when there is one, most frequently stands on a table, square on the plan, and hori- zontal on the upper and lower sides, called the plinth. Vitruvius directs the columns at the angles to be made thicker than the intermediate ones; the diameter of columns to be proportioned to the intercolumns; that the higher they are, their diminution should be less ; that those on the flanks and angles have their inner faces toward the walls perpen- dicular, but those of the pronaos and posticum to be set. perpendicular on their axes ; that those in theatres and other works of gaiety, should not have the same proportion as those in sacred edifices; and that the two middle columns, opposite the entry, should have a wider interval than any two of the others. The Greeks seldom employed attached columns; the only instances of the kind in Attica, and indeed in all Greece, are the monument of Lysicrates and the temple of Minerva Polias, where the columns present something more than half their diameter. In the temples of Agrigentum and Escula- pius, in Sicily, the columns are also attached. The remains of Roman edifices show many instances of attached columns, as in the temple of Fortune, the triumphal arch of Titus, the Coliseum, and the theatre of Marcellus, at Rome, where the columns project only half their diameter; and this rule was strictly observed by the ancients, who generally tapered the shafts from the base. The Grecian Doric is without a base, which is peculiar to the Ionic and Corinthian orders. Much has been said con- cerning the proportion of columns; but it. must chiefly depend upon their situation, whether disposed on the exterior or interior, attached or insulated, on a level with the eye or raised above it; circumstances which will affect the propor- tion, and render all canonical rules uncertain. “'e also judge of the proportion of columns from the materials whereof they are constructed, as a column of iron will require a diiferent proportion from one of stone. Some columns have the lower third quite cylindrical, and the upper two-thirds only diminished, but the most beautiful diminish from the bottom. In the preface to Stewart’s third volume of Antiquities, speaking of the temple of Jupiter Olympus, at Athens, Mr. Reveley, who conducted that volume, observes, that “ the columns diminish from the bottom by a beautiful curve line.” In another part of the same preface, he farther observes, generally, that “the columns rise, with consider- able diminution, in the most graceful sweeping lines.” It is much to be regretted, that Mr. Stewart, who has, in general, been so particular in the measures of Grecian architecture, should have neglected a thing so important as the dimensions of the shafts of columns. The columns of the Pantheon, of the temples of Vesta. of ' Jupiter Stator, of Antoninus and Faustina, of Concord. of the ‘ arch of Titus, of the portico of Septimius, and of the theatre of Marcellus, at Rome, are all diminished from the bottom. -_ .a M __ s ‘,flr___‘,_—— t N ~ ‘§\ I’L\ 71 .H, ,7 H -. I‘ uZzZ method 1 ‘ 7/7, [in/771121 ly'fin'conzedeJ Mlnprm'ai él' l’zkjnnia. '1 : \ v". mummWWWmmwmmmu WNW “W H WNW ll ll “WM 1 HH1 mmuulmmuuu llHlHlHHHHHHI Hl ‘ H / '. NIH HlllHllNlH ' 777/ 1 771 771/ COLUMN. [19.5. A [5-4-4- Bf?" ,. I ' ~B,_-.flf£d [In/midi! 5 W4 - ”47-9- Mw;% --------- Q ' [711171121112 jun/Ito males/"I 1;; < 4 Qf __J: 4 4. linpiizngd éy/{A'L M " lily-willed [gr/{NI COL 181 COL Columns may be diminished by a curve, according to any of the following methods : _ METHOD I.—F{qure 1. Take the semi-diameter, A B, at the top of the shaft, and apply it from C to D on the semi- diameter, C E, at the bottom ; with the radius, 0 E, describe an are, E F. Draw D F perpendicular to E C, divide the are E F into any number of equal parts (as four, in this example) E n, n n, n n, n F ; also divide the representative axis, C B, into the same number of equal parts, 0 m, m m, m m, m B ; through the points m, m, 8:0. and also through the points 72, draw lines m t and v 72, parallel to E C, of which the lines 12 in cut the representative axis at v ; make all the lines m t equal to all the lines 12 72, beginning next to the base in succession, towards AB; then through all the points, t, draw a curve, which is the contour of the column. The edge of the diminishing rule, H, shown upon the other side, is just the reverse, that is to say, it is concave, the contour of the column being convex. METHOD II.——F2'gure 2. The points D and F, being found, as in Figure 1, instead ofdividing the arc, E F, as in Figure 1, into equal parts, divide the straight line D F into the equal parts, D x, xx, :1: ac, zr F, and the representative axis 0 B, into the same number, and complete the other parts of the operation, as in Figure l. The same letters of refer- enee being fixed to the like parts, show the process to be similar. METHOD III.—Figure 3. B C being the altitude of the shaft, and B A, at right angles to it, the quantity of diminu- tion upon one side of it : divide C B into equal parts, at the points I), E, F ; also divideA B into the same number of equal parts, at the points (1, e, f; draw the lines D G, E H, F I, parallel to AB; again from the points d, e,_f; to the point C, draw lines, d G C, e H C, f1 C ; and through the points A, G, H, I, C, draw a curve, which will give the contour required. METHOD IV.——Figure 4. A B and B C, being the same as in Figure 3 : now, suppose it were required to give less curvature to the contour of the column; between A and B take any intermediate point, 9, nearer towards A or B, as the curvature is intended to be flatter or quicker (in this example it is in the middle of A B) ; draw the line 9 C, divide Ag into any number of equal parts, Ad, de, efifg, (as here into four); divide BCinto the same number of equal parts, B D, DE, E r, F c ; draw D G, E II, F I, parallel to B A, draw (1 G C, 8 II C,fI C, then through the points A, G, H, I, C, draw A G H I C, which is the curve required. METHOD V.—Figure 5. Join A C, and draw A L at right angles to it, meeting C B produced at L ; draw AD parallel to C L, and C D perpendicular to it ; divide L C and A D, each into the same number of equal parts, the former at the points E, F, G, and the latter at 11, I, K ; also, divide A B into the same num- ber of equal parts, A e, efifg, g B; join E MH, F N I, G 0 K; also e M C,fN C, g 0 C, and draw A M N 0 C, which is the curve required. METHOD VL—Fz'gure 6. Join AGC, and bisect it by a perpendicular, F G; on the centre, C, with the radius, CA, describe the are A D ; divide A D into two equal parts in E ; draw E F C, and parallel to G A draw F I ; make an angle, C F 1, upon the edge of a board or rule, put in pins at the points C "“d 1‘} and with a pencil, upon the angular point F, while the rule is moved from F to C, keeping the side FI of it upon the pm at F, and the same side F C, upon the pin at C, the angular point F will describe the contour of the column between F and o. In like manner, by removing the P111 out of c, and putting it in A, the part F A may be described. The Same curve might have been found by one continued motion from A to C, as follows : suppose the line D C to have ‘3 A been produced to a point, K ; the supposed line, C K, to have been equal to C D ; and an angle, having been made upon the edge of a thin board, equal to A C K; then the contour, A F 0, would have been described in the same manner, between the points A and C, as each of the former parts shown by the figure. It is obvious, that by this last method, it would be requisite to have the machine twice the length of that in the first method ; from which it would become more unmanage- able in the formation of the curve, and inconvenient in many situations, for want of space to extend it to the necessary distance. , ' METHOD VIL—Figure 7. Let A B be the representative axis of the column ; A D, B C, the semi-diameters of the top and bottom of the shaft ; produce 0 B to F ; on the point D, with a radius, 0 B, describe an are, cutting A B at E ; draw D E F ; in A B, take any number of points, 772, and draw the lines an; make each line 721 72, equal to B C; then draw D 72 n . . . C, which will be the curve required. METHOD VIII.—Figure 8. The points E and F being found as in Method VII. place a rule with a canal, or groove, on the axis AB, and put a pin in F; take another rule, DF, having a groove on the under side, and lay this groove on the pin at F ; put another pin through the rod at E, into the groove A B ; then, with a pencil, through D, and moving the ruler D F, while the pin E slides in the groove A B, and the groove on the under side of D F on the pin F, the contour D C, will be described with one movement. METHOD IX.—Fz'gure 9. A B being the axis of the column; A D and B C the lower and upper diameters ; draw D E parallel to A B ; find the point F, as in Methods VII. and VIII., and draw E C F ; divide A F into any number of equal parts, by the points 9; also divide D E into the same number of» equal parts, by the points it; join each corresponding 9 it; make every 9 i equal to A D, and the curve drawn through all the points i, will be that required. This mode is practised when room cannot be found for Figures 7 and 8, with which it is the same in principle. . ' Observations on the several methods.—By the First Method, the curvature of the shaft becomes continually less towards the superior diameter, and if the contour were extended beyond the shaft, it would meet in a point, of which its distance from B would be a fourth proportional to the length of the arcs E F, F G, Figure 1, and the axis C B ; the semi-axal section of the whole thus produced, is a figure of the same nature as the figure of the sines. By the Second Method, the curvature of the shaft is con- tinually increased towards the, superior diameter, and if the contour were extended above A B, Figure 2, it would termi- nate at a distance from C, which would be a fourth propor- tional to D F, 020, C B ; the contour thus produced, would be an elongated semi-ellipsis. By the Third Method, the curvature of the shaft is con- tinually less towards the superior diameter, and if the contour were extended, the two sides would meet in a point, whose distance from the lower end of the shaft would be the second root of a fourth proportional to the quantity of diminution, the semi-diameter at the bottom, and the square of the altitude of the shaft. The shaft and the part thus produced, forms the half of a parabolic spindle ; and the axal section is two equal semi-parabolas, joined together by a common ordinate, which forms the axis of the column. By the Fourth Method, the curvature is likewise parabolic; but the axal section is two equal portions of a parabola, less than semi-parabolas. By Methods V. and VI., the curvature is everywhere the same, and is consequently the arc of a circle: this contour would therefore meet in a point. which would be distant from COL 182 COL the lower end of the shaft, by a quantity equal to the value of B C’ . . . ‘/ C M (—— + A B — o M)in which B C 1s the height of the A B ' shaft, A B the quantity of diminution, and C M the semi- diameter at the bottom. By Methods VII., VIII., and IX., the contour of the shaft never terminates when continued. The curve is concave to the axis at the bottom, and after a certain distance, it changes into a convexity. The curve is called tlze conchoid of .Nicomedes, who is the reputed inventor; the straight line, in which the moving point runs, is an assymptote; and the point over which the moveable rule passes, is called the pole. As the curve may either fall upon one side or the other of the axis, it is distinguished accordingly: when it falls on the side of the axis opposite to that in which the pole is situated, it is called tlie first conclioid; and when the describing point is made to move on the same side of the axis with the pole, the curve so formed is called the second conclzoid. This last method of describing a column by continued motion, has been much praised in architectural works; but though the method be simple, the instrument is very cum- bersome. It may be observed, that as all curves are nearly the same at the vertex, so small a portion as is required for a column, will be the same in practice, by any of the fore- going forms. The most useful method, therefore, of describ- ing the contour of the shaft, is that of Figure 6; the instru- ment is much more simple, and takes less room, which, in many cases, would not admit of that for describing the con- choid; and even that of forming the curve by one motion, as shown at the end of Method VI., is much more convenient, as length or extension in one direction only, is required. But where space is wanting, Methods III. and IV. are recommended. COLUMNS are variously named, according to their mate- terials, construction, formation, decoration, disposition, and destination. 1. Columns, according to their materials, are, moulded, fusible, transparent, scagliola, masonic, or wooden. When a column is made by cementing gravel and flints of different colours, it is called a moulded column. The art of moulding columns was knoan to the ancients, as would appear by some lately discovered near Algiers, in the ruins of the ancient city of Caesarea; where the same inscriptions in antique characters, and even the same defects, are to be found repeated on every shaft, which is certainly a proof of their being moulded: the cement employed in the emplastation of columns, grows perfectly hard, and receives a polish like marble. Columns of fusible matter, as metals, glass, &c., are called fusible columns,- the secret of making them is said to have been known to the ancients, who are also said to have fused and cast columns of stone. Columns of this description may also be called moulded columns. When the material of which a column is made is transpa- rent, the column is called a transparent column. The columns of the theatre of Scaurus, mentioned by Pliny, were of crystal, and those in the church of St. Mark, at Venice, are of transparent alabaster. When columns are constructed with a. kind of plaster, so as to imitate marble in polish and colour, they are called scagliola columns. Columns built of rough stone, or compass bricks, and cased with stucco, are called masonic columns, or columns of masonry; as are likewise those made in courses of stone, jointed, and cemented in the best manner, with a rubbed or smoothed surface. See STONE COLUMN. When the shaft of a column is constructed of wooden staves, glued together, and the interior angles strengthened with blockings, the column is said to be a joinery column. See the articles BASE, CAPITAL, and WOODEN COLUMN. 2. Columns, according to their construction, are columns in bands or tambours, columns in trencheons, or banded columns. When the shafts of columns are formed of courses of stone of a less height than the diameter of the column, they are called columns in bands or tambours. This method is only practised in large columns. When shafts of columns are formed in courses of greater height than the diameter of the column, they are said to con- sist of trencheons ; this is practised in small columns, when the fewer the pieces, the more beautiful will the column be ; but the difficulty of raising them from the quarry is greater, and the carriage more expensive. When the shafts of columns consist of plain or ornamented cinctures, projecting beyond the general line of the shaft, the column is said to be banded, and is therefore called a banded column. Columns of this description were first introduced by De Lorme, in the chapel de Villers-Coherets, and at the Tuileries, who by this means supposed the joints would be concealed. 3. Columns, according to their formation, are attic, conical, conoidal, cylindrical, cylindroidal, or polygonal. The attic column is an insulated pilaster, having four equal faces, of the highest proportion. Though this is commonly inserted among the ‘number of columns, it should not be so deemed, but rather what we have already denominated it, an insulated pilaster. To prevent confusion, the use of the term column, in architecture, should be restrained to a body of E circular horizontal sections. A conical column has the superior diameter of its shaft less than the inferior, with its sides straight in every plane passing through the axis. A conoidal column also has the superior diameter of the shaft less than the inferior, but its exterior sides are convex in any plane passing through the axis. This practice of making the shaft swell is ancient, being mentioned obscurely by Vitruvius, and has been generally followed by modern architects. Cylindrical colmmns have the extreme diameters of the shafts of equal circles. Cylindroidal columns are those whose sections are all similar and equal ellipses, alike situated. These are other- wise called elliptic columns. Instances of this form are rarely to be met with in the remains of antiquity; a few examples, of modern date, are to be seen at Rome. Polygonal columns have the horizontal sections of their shafts similar to polygons, alike situated. The lower parts of the shafts of the columns of the portico on the Island of Delos and of the temple of Cora, are of this form; as are likewise the columns of several Egyptian buildings. 4. Columns, according to the decorations of their shafts, are barkformed, cabled, carolytic, fluted, or twisted. A bark-formed column represents the trunk of a tree, with the bark and knots. This is otherwise denominated a pas- toral column. Cabled or rudented columns have the flutings of the shaft filled with astragals, to about one-third of their height. Carolytic columns have foliated shafts, decorated with leaves and branches winding spirally around them, or dis- posed in form of crowns and festoons. They were used by COL 183 COL the ancients for supporting statues, whence the name. They are suitable in theatres, triumphal arches, 8:0. Fluted columns have flutes cut in their sides, in planes passing through their axes, and are otherwise called chan— neled or striated columns. Twisted columns make several circumvolutions in the height of the shaft, after the manner of a screw, and have sometimes several threads or screws following one another in the same circumference; they are otherwise called spiral columns. Vignola is said to be the first who discovered the method of drawing this kind of column by rule; but what has been presented to us by this author, is only an incorrect method of drawing the contour of the column on paper, by segments of circles, diminishing in altitude as they become more elevated in their regular succession; but the true prin- ciples of forming the shaft ought to be shown from the principles of the spiral, and described upon the concidal surface. The barbarous practice of twisting columns has been much used by modern architects, particularly in the screens and altar—pieces of churches. The most. celebrated example is the baldachin of St. Peter’s. Columns spirally formed may be seen in the temple of Spoleto, and are not unfrequent in sarcophagi and other ornamental works. 5. Columns, according to their disposition, are angular, cantoned, coupled, doubled, engaged, flanked, grouped, inserted, insulated, median, or niched. Angular columns are insulated in the corners of a portico, or upon the corners of a building, (even though attached,) whether the angle be right, acute, or obtuse. Cantoned columns are placed one at each corner of a. square pier, for supporting the angular springings of groins, or intersecting vaults. Coupled columns are disposed in pairs, in the same range or line, so as almost to touch at their bases; as those in the western portico of St. Paul’s, and the peristyle of the Louvre. Doubled columns, in any range of columns, or in peri- styles, seem to have their shafts penetrating each other to about one~third of their diameter; as in the peristyle of the Louvre. Engaged columns seem to penetrate a wall from between one-fourth to one-half of their diameter. Aflanhed column has a semi-pilaster on each side of it, and is engaged from one-fourth to one-halfits diameter, within the plane of the faces of the semi-pilasters. Grouped columns stand in threes or fours on the same pedestal. Au inserted column is let into a wall. An insulated column is free or detached on all sides. flfcdian columns are those two columns of a portico, which are placed in the middle of the range, at a wider interval than any other two in the same range, for giving a freer access to the principal entrance. The term is derived from columnre media), the name given by Vitruvius t0 the two columns in the middle of the colonnade. A nichcd column is placed in a niche, with the axis of the column in the plane of the wall. 6. Columns, according to their destination, are agricultural, astronomical, boundary or limetrophus, chronological, funeral, gnomonic, historical, indicative, itinerary, lactary, legal, mmmhiary, menian, miliary, military, phosphorical, rostral, statuary, symbolic-cl, or zoophoric. Agricultural columns are raised for explaining the rules of agriculture. An astronomical column is a cylindrical or conical obser- vatory, built hollow, with a winding staircase ascending to an armillary sphere at the top, for observing the motions of the heavenly bodies. Such is the Doric order, erected at the Hotel de Soissons, at Paris. Boundary or limetrophus column showed the limits of a kingdom, or conquered country. Such was that erected by Alexander the Great at the extremities of the Indies, men- tioned by Pliny. A chronological column bears an inscription of historical events, arranged in order of time. There were two columns of this kind at Athens, whereon was inscribed the history of Greece, digested into Olympiads. .- A funeral column is placed over a tomb, supporting an urn, or bearing some inscription relative to the deceased. Its shaft is frequently covered with symbols of grief and mortality. A gnomonic column is a cylinder, on which the hour of the day is represented by the shadow of a style. There are two kinds of gnomonic columns : in the one the style is fixed, and the hour-lines are projected on the cylindric surface; in the other, the style is moveable, and the hour-lines are drawn to the several heights of the sun in different seasons of the year. An historical or triumphal column is usually adorned with basso-relievos, winding spirally upwards around the shaft, and showing the history of some great personage. The most celebrated ancient triumphal columns are those of Trajan and Antoninus Pius at Rome, and Pompey’s Pillar, near Alex- andria, Egypt; of modern ones we have three in London— the Monument, erected in memory of the Great Fire, that erected in honour of the Duke of York, and another in memory of Lord Nelson, in whose honour there is an earlier one at Edinburgh; there is likewise a celebrated column termed Buonaparte’s Column, in Paris. Trajan’s Column is of the Doric order, and constructed of marble; the face throughout its length is covered with sculptures arranged in a spiral line, running up the shaft, representing his martial exploits; its total height, including a base or pedestal of 19 feet, is 132 feet, and the diameter of the shaft at its junction with the base 13 feet. The column of Antoninus is similar to that of Trajan both in its style and general character, though not equal to it in execution. Its height is 122 feet, including a pedestal of 26 feet, and the diameter of the shaft 11 feet 6 inches. Pompey's Pillar at Alexandria is of the Corinthian order, and is 92 feet in total height. The shaft, which is 66 feet in height, is of a single block of granite, and polished. Of the columns in London, the Monument is the most celebrated. It is of the Doric order, and has a fluted shaft; its total height is 202 feet, and the diameter of the shaft at its base 15 feet. At Constantinople were two triumphal columns, similar to those of Trajan and Antoninus; that of Constantine is entirely destroyed, and of the other, erected to Arcadius, by Theodosius, only the pedestal and the first course of the shaft remain. Historical columns may also be called memo- rial, honorary, or triumphal columns. An indicative column is placed on the sea-coast, for show- ing the rise and fall of the waters. Of this kind is the Nilometer, at Grand Cairo, which shows the rise and fall of the Nile. Itinerary columns are constructed with several faces, and placed at the intersection of two or more roads, to point out the different routes by an inscription placed on each face. The lactary column was erected in the herb-market at Rome, on a hollow pedestal, wherein young children, aban- doned by their parents, out of poverty or inhumanity, were exposed, to be brought up at the public expense. ,__._.__,,‘_,__—___,.._ ________ .‘ ,_‘_,__¥___‘_ COM .184 C 0 M A legal column, among the Lacedaemonians, was raised in a public place, inscribed with the fundamental laws of the state. A manubiary column is built in imitation of a tree, and adorned with trophies taken from an enemy. Illem'tm columns support a balcony or meniana. This kind of column takes its name from one Menias, who having sold his house to Cato and Flaccus, when consuls, to be converted into a public edifice, reserved to himself the right of raising a column on the outside, to bear a balcony, whence he might see the public shows. We are informed of this circumstance by Suetonius and Ascanius. .Mlliary columns were raised equidistantly on the high- ways from Rome to the several cities of the empire, and described their distance from the middle of the Roman Forum, as a centre, where the first miliary column was raised by order of Augustus. This column was of white marble, of a cylindrical form, and massive proportions, sup- porting a globe, the same as is now seen on the balustrade of the staircase of the Capitol at Rome. This column was called miliarium aureum, as having been gilt, or at least the ball, by order of Augustus. It was restored by the Emperors Ves- pasian and Adrian, as appears from the inscriptions. A military column, among the Romans, was engraven with a list of the forces in the Roman army, ranged in order by legions, and intended to preserve the memory of the number of soldiers, and of the order observed, in any military expe- dition. Another kind of military column, used by the Romans, stood before the temple of Janus, at the foot whereof the consul declared war, by throwing a javelin towards the enemy’s country. This column was called columna bellied. A phosplzorical column is a hollow column, built on a rock, or the tip of a mole, or other eminence, to serve as a light- house, or lantern, to a port. A rostral column was a triumphal column, adorned with the beaks and prows of galleys, in memory of a naval victory. The first rostral column was erected in the Capitol, on oceasion of the defeat of the Carthaginians by C. Duilius. Augustus constructed four columns with the prows of the ships taken from Cleopatra. A statuary column supports a statue. Symbolz'cal columns represent some particular country, by appropriate attributes. A zoopltoric column is a kind of statuary column, bearing the figure of some animal. There are also other columns, denominated hydraulic, or water-columns, used as fountains. COLUMNIATED “’INlHNG-STAIRS. See STAIRS. COMA (from the Greek who, Sleep) in antiquity, a mound of earth over a grave. COMITIUM (Latin, an assembly) in Roman antiquity, a large hall in the forum, in which comitia were ordinarily held. Prior to the period of the second Panic war, it was open at the top ; but on account of the assemblies being often interrupted by bad weather, it was then covered over. COMMANDERY; a religious house belonging to the Knights Hospitallers, the same as a preceptory with the Knights’ Templars. Previous to their dissolution in the time of Henry VIII., there were no less than fifty such buildings subject to the priory of St. John of Jerusalem. COMMISSURE (from the Latin, commissura) the joint between two stones, or the application of the surface of one stone to that of the other. COMMON, (from the Latin, communis) in geometry, a line, angle, surface, or solid, which belongs equally to two or more objects. COMMON CENTERING, a centering without trusses, having a tie-beam at the bottom; or otherwise, that which is employed in straight vaults. COMMON Jorsrs, those beams in single naked flooring to which the joists are fixed; they might be properly called boarding-joists, and should never exceed one foot clear of each other. COMMON PITCH, a term applied to a roof which has the length of the sides about three-fourths of the span. COMMON RAFTERS, those timbers in a roof to which the boarding or lathing for slating is attached. Common roofing consists entirely of common rafters, which, in the strongest- framed roofs, bridge over the purlins. COMMUNICATING-DOORS, or DOORS 0F COMMUNI- CATION, those which open or throw two apartments into one. COMPARTED, (from the French, compartir, to divide) a line, surface, or solid, divided into several parts ; or a hol- low space partitioned into several smaller spaces. COMPARTITION, the distribution of the ground-plot of an edifice into apartments and passages. COMPARTMENT, (from the French, compartiment) a division of a picture, design, &c. COMPARTMENT CEILING, a name given to all ceilings divided into panels, surrounded with mouldings. There are many beautiful ancient compositions of this kind applied to the intradoses of cylindrical and spherical vaulting, and to the sofiits of the porticos of temples; as may be seen in the Pantheon and the temple of Peace. The compartment ceil- ings of the. last century were extremely heavy, which has occasioned the epithet pondrous to be applied to them, in order to distinguish them from those in present use. These weighty compositions took their rise in Italy, under the first masters, who seem to have been led into that idea, from observations on the sofiits 0f the porticos of antique temples. The ancients, with their usual skill, kept up a bold and mas- sive style, proportioning their coffers to the strength, magni- tude, and height of the building, and at the same time making an allowance for their being on the exterior part, adjoining to other great objects; all which served to diminish and lighten the effect of the compartments. From this mistake of the first modern restorers in Italy, all Europe has been misled. Michael Angelo, Raphael, Pyrro Ligerio, Dominichino, Georgio Vasari, and Algerdi, with great taste and knowledge, threw off those prejudices, and boldly aimed at restoring the antique in due proportion. But at this time, the rage for painting became so prevalent in Italy, that, instead of fol lowing these great examples, every ceiling vas covered with large fresco compositions, which, though extremely fine and well painted, were much misplaced, and would, from the attitude in which they were beheld, tire the patience of every spectator. Great compositions should be placed so as to be viewed with ease. Grotesque ornaments and figures are perceived with a glance of the eye, and require little exami- nation. The heavy compartment ceilings were afterwards adopted in France; and Le Potre adorned them with all the trappings of his luxuriant imagination. Inigo Jones intro- duced them into England, with as much weight, but less fancy and embellishment. Vanbourgh. Campbell, and Gibbs followed too implicitly the authority of this great name. Kent has the merit of being the first who began to introduce grotesque paintings in ornaments of stucco, and to lighten the coffers of compartment ceilings. Mr. Stewart, with his good taste in the antique, has contributed greatly towards introducing the true style of decoration; but the completion seems to have been reserved to the present times, in which not. only these, but every other kind, are executed in the highest degree of perfection. COM 185 COM COMPARTMENT TILES, an arrangement of white and red tiles, varnished, for the decoration of the covering Of a roof. COMPASS-HEADED, having a semicircular head. COMPASS ROOF, that which extends from one wall to the other the whole width of the building, having a ridge in its centre; the term is used in contradistinction to lean-t0 roof, and is peculiarly applied to the ancient open timber roofs. The term is applied by some to roofs with cylindrical or barrel vaults. COMPASS SAW. See SAW. COMPASS WINDOW, a window which has a circular plan ; a bow or oriel window. COMPASSES, (from the French, campus) a mathematical instrument for describing circles and ellipses, or their arcs; also for measuring and proportionng distances. Compasses for drawing are of four kinds: those with two legs, moveable on a joint, by which the extremities can be extended to any distance, not exceeding the sum of both legs, are called common compasses. Those with a beam having a fixed point at one of its ends, and a moveable collar carrying another point, which may be fixed at any distance from the fixed point by means of a screw, are called beam compasses. Those with three legs, so as to be set to any three points, Of which the distance between any two may not be greater than the sum of any two legs of the compass, are called triangular compasses. Those for drawing ellipses, are called elliptic compasses. Common compasses are of several kinds, and are furnished with fixed or moveable points, for carrying a pencil or ink foot. Common compasses with Sharp points, used for taking distances, are called dividers. Dividers, which have the lower point of one of the legs fastened to the upper part by a stiff spring, and by means of a screw will allow of slow motion in the legs, so as to extend or shorten the distance of the points to the smallest degree, are called liair compasses. Those with moveable ink and pencil feet, for describing circular lines, are called, in contradistinction, compasses; the ink or pencil foot is fitted into a socket in one Of the legs of the compass. Besides the ink and pencil feet, there is sometimes another foot for dotting circular lines, but it is seldom used, as being apt tO run two or more dots into one. Compasses for describing small circles with ink or pencil, and which shut into a bow, are called bow compasses. Triangular compasses have two legs, which revolve on a folding joint, like common compasses, and the third leg is fixed to the bulb by means of a projection, with a joint, so as to be moveable in every direction. The three points of the compasses may be made almost to coincide with any three assumed points, to any distance within the reach of their extension. Compasses with a joint between the extremities, and two Sharp points at each end, forming a double compass, so that the two ends may always preserve the same ratio, however extended, are called proportional compasses. When the joint is fixed, the compass is said to be simple; but when moveable, it is called a compound proportional compass. The simple proportional compasses, in most general use, have the two legs on one side of the centre always double those on the other, and are denominated wholes-and—ltalves, or bisecting compasses. Compound proportional compasses have each branch cut with a long slit for a cursor to slide in ; in the middle of the cursor is a screw, by which the ends may be set in any pro- portion to each other. One leg is generally graduated on either side of the slit, one side for the division of right lines into any number of equal parts from 2 to 10, and the other for inscribing polygons from 6 to 20 sides in a circle of any 32 given radius within the greatest extension of the compasses. The other leg is graduated in a similar manner, one side into divisions, showing the proportion between the areas Of similar plane figures, the other into parts showing the proportion between the contents of similar solid figures. This instru- ment is employed in the reduction of figures, and is extremely useful in the projection of dome compartments, and in perspectlve. Examples of the use of compound proportional compasses. —Let it be required to divide a straight line into four equal parts : push the cursor till the index be just on the figure 4, and fix it there; then take the length of the given line with the longer legs, and the distance between the points of the other legs will be one-fourth of the length of the line. Again, let it be required to inscribe a heptagon in a circle: push the cursor till the index or zero be on 7; then, with the longer legs take the radius of the circle, and the distance between the two other points will be the side of the heptagon. See PROJECTION. To find a regular plane figure Whose area shall equal one- fourth Of that Of a given similar figure; set the zero on the cursor to the line marked 4, take the length of one Of the sides of the given figure with the longer legs, and the distance between the points of the shorter ones will give the side Of a similar figure which shall contain an area equal to one- fourth af the area of the given figure. By means of the same scale of divisions, may be found the square root of any given number, thus :—Set the zero Of the cursor tO the given number; open the longer legs so as to contain the same number from any scale of equal parts, then apply the points of the shorter legs to the same scale, and the distance measured between them will give the square root- Of the given number. To find a sphere or cube whose solid contents shall be equal to one-fourth of those Of a given sphere or cube: Set the zero to the division marked 4, measure the diameter of the given Sphere, or the side of the given cube, with the points of the longer legs, and the points of the Shorter ones will give the diameter Of a sphere or side of a cube such as required. The cube root of any number may be found by this scale in a similar manner to that by which the square root is found by the Opposite one. Compasses used in the description of ellipses, are called elliptic compasses, or ellipsograplis. See ELLIPSOGRAPH and PENTAGRAI’II. COMPASSING (from the French, compasser, to encircle) in naval architecture, the act of bringing any piece Of timber into the form of an arch. COMPLEMENT (from the Latin, complementum, perfec- tion) in a general sense, the full quantity, or completion Of anything. COMPLEMENT, in geometry, whatever is wanting of any angle to make a right angle, or 90 degrees. COMPLEMENT or A PARALLELOGRAM, two lesser parallelo- grams, made by drawing two right lines parallel to the Sides of the greater parallelogram, through a given point in the diagonal. COMPLUVIUM (Latin) in ancient Roman buildings, is supposed by Newton to be the gutter Of a roof; but by Dr. Adam (Roman Antiquities) to be the aperture at the top of the cavmdium. See CAVJEDIUM. COMPOSITE ARCH, the pointed or lancet arch. COMPOSITE BASE, COMPOSITE CAPITAL, COMPOSITE ORDER, COMPOSITION, the distribution and arrangement of the component parts of an architectural design. See ROMAN ORDER. CON 186 CON COMPOSITION, in plastering. See PLASTERING. COMPOUND ARCH, a term applied by Willis to those arches made up of a series of receding concentric arches, the dimensions contracting with each successive arch; or in other words, to those arches which may be resolved into a number of concentric archways, successively placed within and behind each other. COMPOUND MASONRY. See MASONRY. COMPOUND PIER, the same as CLUSTERED COLUMN. COMPOUND PROPORTIONAL COMPASSES. See Commssus. CONCAMERATE (from the Latin, concamero) to arch over. CONCATENATE (from the Latin, catena) to chain or link together. CON CAVE (from the Latin, concavus, hollow) an epithet applied to the interior side of a figure, or to the interior sur- face of a body. CONCAVITY OF A CURVE LINE, the side next to a straight line, extended between the two points of a curve. CONCAVITY OF A SOLID, the curved surface of a solid, such that if any two points be taken in that surface, the straight line between them will be entirely in a void space, or will coincide with the surface in one direction only. This defini- tion applies to cylinders, cones, spheres, and all other solids generated by the rotation of conic sections about an axis. When the surface of a solid is such, that two straight lines may be drawn from any point in that surface to two other points, so that the one line may be entirely in the void, and the other pass through the substance or solid, the surface may be distinguished by the epithet concavo-convew ; of which description are the surfaces of solids formed like a trumpet- mouth. CONCENTRIC (from the Latin, concentricus) in geometry, a term applied to such objects as have a common centre. It is principally used in speaking of round bodies, or figures that have a circular or elliptic circumference; and may also be applied to polygons that have the same centre, and their sides parallel to each other, about the same diagonals, radi— ating from the centre. CON CH A, the concave surface of a semicircular vault, more especially applied to that of a semi—dome, or hemisphere. CONCHOID (resembling a shell.) This name was given by the inventor, Nicomedes, to a curve, by which he proposed the finding of two mean proportionals, and the duplication of the cube. It may be described as a curve line which always approaches to a straight line but never meets it, though the straight line and the curve be ever so far produced. It is thus generated : If A ’ and B D be two right lines intersect- ing each other at right angles; and if from a fixed point, P, a number of other lines, 1* F D E, P F I) E, 8w. be also drawn, and if D E be taken equal to A B, the curve drawn through all the points E, E, E, Sac. will be the first conchoid, or that of Nicomedes. In like manner, if D F, D F, &c. be taken each equal to BC, the curve passing through all the points, F, is called the second conchoid. The straight line, DD, 8:0. by which the description of these curves is regulated, is called the asymptote. The inventor, Nicomedes, contrived an instru- ment for describing his conchoid by a mechanical motion, of which the description will be found under COLUMN. CONCLAVE (from the Latin) a room in the Vatican, wherein the cardinals used to meet to choose a pope. This room was, in fact, a range of small cells or apartments, stand- ing in a line along the galleries and hall of the Vatican. The word was also used by the ancient Romans, to denote, generally, a room under lock and key. CONCORD, Temple of, in Roman antiquities, a temple, built by Camillus at the foot of the Capitol, and seen from other parts of the column. the Forum: the remains consist of a hexastyle portico, with two columns at the back, of the Ionic order; the entablature is very nearly entire ; a large portion of the tympanum, and a small part of the pediment, remain at the spring of the level cornice. The weight of the tympanum is discharged from the entablature with arches. The columns are of granite, of one piece each, being 40 feet high, and 4 feet 2 inches diameter. The bases are without plinths, except those of the angular columns. The capitals are of a singular construction, and differ from all ancient examples of the same order, in having the four faces alike. only one course in height; and on the front, and at one return of the portico, are entirely plain, without any separation by . mouldings. The cornice has both modillions and dentils. This is perhaps the only ancient example of the Ionic order, in which modillions are used: they are in number twenty-two in the front of the portico. An interval is placed over the axis of each column, and not a modillion; and the columns are very high, being above nine diameters and a half. This temple is supposed to have been pseudo-peripteral. The column ' on the right angle is less than the rest, and the middle inter- columniation greater than the others, by about one-third part of a module. CONCRETE, the name given to a composition, variously The volutes are insignificantly ; diminutive, and the mouldings too large, compared with the . The architrave and frieze make E made, but in general use among architects as an artificial ,, foundation for buildings. The convenience of obtaining a firm and solid bottom by l the formation of a compact mass of concrete; and the facility ‘ with which this composition is made and used, have led to its almost universal adoption in all situations where the requisite materials can be procured. The proportions, and the species of material vary, of course, in different localities, and in the practice of different architects, but the principal ingredients, good lime, clean sharp river-sand, and pebbles well mixed, will not fail to make a good concrete. Semple recommends to take 80 parts of pebbles—each about 7 or 8 ounces in weight—40 parts of sharp river-sand, and 10 of good lime; the last to be mixed with water to a thinnish consistence, and grouted in. The concrete used by builders in the neighbourhood of London, is made of Thames ‘= ballast, as taken from the bed of the river; this is found to consist nearly of 2 parts of pebbles to l of sand, and from one-seventh to one-eighth part of lime. Mr. Godwin says the best method of making concrete is to mix the lime, pre- viously ground, with the ballast in a dry state; sufficient water being thrown over it to effect a perfect mixture; it should then be turned over two or three times with shovels, put into barrows, and wheeled away for instant use. It is advisable to employ two sets of men to perform this operation, with three men in each set, one man fetching the water, 810. while the other two turn over the mixture to the second set, and they, repeating the process, turn over the concrete to the barrow-men. After being put into the barrows, it should be wheeled up planks, so raised as to give it a fall of some yards, and thrown into the foundation, by which means the particles are driven closer together, and greater solidity is given to the whole mass. Soon after being thrown in, the mixture is observed usually to be in commotion, and much heat is evolved with a copious emission of vapour. The concrete should be thrown on in layers, the first being allowed to set, before a second is thrown down. A barrow- load spreading over the ground in its fall, will form generally a stratum of from 7 to 9 inches thick, and a cubical yard of concrete will take about 30 feet cube of ballast, and 3% feet cube of ground lime, with a sufficient quantity of water. CON 187 CON Of the latter no more should be used than is absolutely necessary to effect a perfect mixture of the ingredients. Hot water accelerates the induration. The expediency of using concrete as a substitute for stone, brick, and other materials for building, or constructions above ground, has been much discussed, and a great variety of Opinion has prevailed on the subject. In the “ Prize Essay upon the Nature and Properties of Concrete and its Applica- tion to Construction,” Mr. Godwin has given much valuable information, but we think the opinions he has there ventured as to the use of concrete for walls, &c., will hardly be adopted by architects generally. “ A prudent man,” says Mr. Bar- tholomew, “ will not heap up walls a second time, altogether of concrete. He will not exchange masonry of good strong mortar, and good strong stone or brick, for a heap entirely of mortar, and that “tres maigre.” A careful examination will discover that in every instance in which concrete walls have been used, more or less of instant ruin has occurred, the lintels over the apertures of the first story giving way before even those of the second story have been laid; and when those breaches have been repaired, they have re- appeared ; and even through the solid walls, rents have instantly occurred: experience proves that gravel lying in a bed, and there growing, as it were, without the means of flow or escape, is sufficient to support the most enormous weight of fabric; but the same gravel detached, cannot be piled up, so as to form either solid upright walls, or horizontal beams.” Concrete has been also used both as “ rough concrete,” and in blocks, in extensive works, as river-walls, breakwaters, 8:0. and has been recommended for such purposes by engineers of eminence. In the “ Professional Papers of the Corps of Royal Engineers,” Captain Denison describes some works of this kind, and, in the experiments he had the opportunity of witnessing, some very instructive results are obtained as to the practical application of concrete to the construction of river- walls at Woolwich and Chatham. In one instance at \Vool- wich, it has been applied in mass, the wall having been con- structed in the same manner as the Brighton sea-wall; in both the other instances at Woolwich and Chatham, the con- crete was formed into blocks, which were allowed ample time to set and harden before they were built into the face of the wall. At Woolwich, the river-wall is for the most part founded upon piles; its height above the piles is about 24 feet ; the thickness at bottom 9 feet, at top 5 feet, with a slope or batter in front of 3 feet in 22. The face of the wall is composed of the blocks laid in cement, in courses 18 inches in height; the headers and stretchers in the course being each 2 feet 6 inches long : the former having a bed of 2 feet, while the latter have only 1 foot; behind the facing, the rough concrete was thrown in to complete the thickness of the wall and counter-forts. Both the blocks and the rough concrete were composed of lime and gravel, in the proportion of l to 7 and brought to the proper consistence with boiling water; but the blocks were, or ought to have been, made with Aberthaw limo, Dorking lime being used for the rest of the work. The blocks were cast in moulds, and were submitted to pressure while setting ; a coating of finer stuff being given to the face for the sake of appearance. The whole of the wall was built by tide-work, and in the lower part therefore the backing of rough concrete had hardly time to set before it was covered With the tide; the water, however, in this instance appeared to affect the surface of the mass only, the interior at the depth of a few inches appearing dry, and of a moderate degree of hardness, when examined after the retiring of the tide. During the summer months, the action of the water from day to day was not perceptible; the surface still remained tolerably hard; occasionally portions of the fine facing separated from the rest of the block, owing, it was said, sometimes to want of care in the original construction, sometimes to injuries caused by boats or vessels striking the wall ; in these cases, however, a new facing of cement was applied, and before the winter, the general appearance of the wall was to a certain extent satisfactory. During a hard frost, however, evidences of failure began to show themselves ; and as soon as the thaw alloweda thorough inspection of the face of the wall to be made, it was found that hardly a single block had escaped damage ; in many instances, the whole face had peeled off to the depth of half an inch; at one spot, where a drain discharged itself into the river from a height of about six or eight feet, the back action of the water after its fall, had worn away the lower courses to the depth of some inches. These were the evidences of the action of frost and water combined, upon the best constructed wall at Woolwich. At Chatham, they were of the same character, but the damage done to the wall was much greater. The portion of river-wall at Woolwich, which was built with rough concrete, was severely injured by the common action of the water before frost, and the same result was observed in the walls of a school near Blackheath, which were built of concrete some years ago : at the ground-line, where the drip of the water had acted, the concrete was soft, and yielded easily to any force applied, while the walls above were very fairly hard, and seemed to have stood very well. The results of the observations made at that time, on the use of concrete in con- structions of a kind similar to those above mentioned, are summed up by Captain Denison in the opinion “ that in climates like ours, in situations exposed to the alternate action of water and air, concrete cannot be advantageously used as a building material, the apparent economy, caused by the cheapness of the material employed, being more than compen- sated for by the frequency ofrepairs.” In the report (dated 1846) and evidence ofthe “ Committee on the Harbour of Refuge to be constructed in Dover Bay,” a great deal of valuable information is afforded on the use of concrete. Amongst the various plans submitted to the com- mittee, Captain Denison, Colonel Jones, and Mr. Vignoles proposed to construct breakwaters of blocks of concrete. The first of these gentlemen recommended that the blocks should be manufactured at Dungeness, and thence floated to Dover by means of camels. The French adopted a similar plan in their works at Algiers, where large blocks of béton, or hydraulic concrete, were floated out to the required spot, and then allowed to drop into their places from slings. These blocks were rectangular in form, and measured 324 cubic feet. At the works at St. Joilette, at Marseilles, also, immense blocks of concrete, 13 yards cubic measure in size, have been sunk for the foundation. The form suggested by Captain Denison was that of an hexagonal prism, and it was considered each block would weigh from 20 to 30 tons. The concrete would be made in the following manner :—the gravel of sea-beach to be mixed with the best hydraulic lime in the proportion of ten or twelve parts of gravel to one of lime ; and with the view of causing it to set more speedily under water, a proportion of puzzolana should be added, varying in quantity according to its quality; half the quan-- tity of puzzolana to that of lime would make very hard, sound concrete, which would set rapidly; but if desirable to make it set very quick, the quantity of puzzolana might be . increased till it equalled that of the lime. The concrete used . by Mr. Ranger at Woolwich was nearly the same, except that ' he used no puzzolana. ‘ In the course of Captain Denison’s evidence he refers to the works at Chatham and Woolwich, to which we haw: ‘ CON 188 CON already alluded, and states that he had again examined the wall at Woolwich, and found the interior as hard as could be wished. Those parts, however, of the concrete facing, which were exposed to the mechanical action of the water, were injured by it; and therefore, though recommending concrete below low-water mark, he was bound to admit that it was not adapted to those situations where it must be exposed to such action. The specific gravity of concrete, as compared with that of other materials, is as follows :—- Concrete weighs about 140 lbs. to the cubic foot Brick-work ............ 110 Granite.................. 160 to 170 Portland stone 150. We must refer to the report itself for more detailed infor- mation on this subject, only adding the conclusion come to by the committee, that “there is not sufficient experience of the use of concrete to warrant its adoption for the faces of works to be constructed in the sea.” The French engineers have made use of beton in many of the extensive works on the continent; beton sets very rapidly under water, and attains, after a time, a very con- siderable degree of hardness. M. Milet de Montville having filled a chest containing 27 cubic feet of beton, sunk it in the sea, where it remained during two months, after which it was drawn up, to ascertain the consolidation it had acquired. On inspection it was found to be converted into so compact a body, that more difficulty was experienced in separating its parts, than those of a. block of hard stone. The best manner of compounding the beton, according to M. de Montville, is as follows :-—“ Take twelve parts of puzzolana, (terrasse de Hollande, 0r cendre de ’l'ourney,) of which form a circular wall of five or six feet in diameter, on which place six parts of sand, well sifted, free from earthy matter, and evenly spread. Fill the interior of this circle with nine parts of quick-lime, well calcined, and pul- verized with an iron beetle; and to cause it to slack more quickly, (in maritime works) throw on sea-water in small quantities, stirring it from time to time with an iron spatula. As soon as it is reduced to a paste, incorporate the puzzolana and the sand. The whole being well mixed, throw in thir- teen parts of unhewn stone, and three parts of iron dross, well pounded. If this latter ingredient cannot be obtained, sixteen parts of rough stones or pebbles must be added, of a size not larger than a pullet’s egg. Let this composition be well amalgamated for the space of an hour, after which it must be left in heaps to coagulate ; for this purpose the space of twenty-four hours will be sufficient in summer or in warm climates, but in winter it often requires the space of three or four days. Observe to keep it protected from the rain, and not to use it until it has sufficiently hardened to require breaking with a pickaxe.” The method of using the beton is either in blocks, or by means of a coffer or chest filled with the composition, lowered to the required depth, and there emptied. CONCRETION (from the Latin, concresco) the act of concreting; the process by which soft or fluid bodies become thick, consistent, solid, or hard; the act of uniting, by natural process, the small particles of matter into a mass. The word is used indifferently for induration, condensation, congelation, or coagulation. CONCURRIN G, or CONGRUENT FIGURES, or Soups, such as will cover each other exactly, or will fill the same space. All plane figures will do this, when their correspond- ing angles and sides are equal. CUNDUIT (from the French) a canal, or pipe, for the conveyance of water, or other fluid matter; an aqueduct. The earth is full of natural conduits, for the passage of waters, which give rise to springs, and of vapours which generate metals and minerals. Artificial conduits for water are made of lead, cast iron, stone, potters’ earth, &c. See PLUMBERY. Also the reservoir or erection where the waters are con- ducted and distributed for use. Previous to the formation of the present water-companies, these Conduits were frequent in the different parts of London, and were the only means by which the inhabitants were supplied with water; the first conduit erected was one near Bow Church, Cheapside, in the reign of Henry III.; and among the latest was one of large dimensions, erected in 1655, at Leadenhall, which served likewise for an ornamental fountain. Conduits of this kind of an early date were usual in our large ecclesiastical estab- lishments, and where Cloisters existed, there was frequently one in the centre of the quadrangle; which custom has been observed in the quadrangle of S. Augustine’s, Canterbury, lately erected, where the conduit, of excellent design, forms an imposing feature. The first attempt to carry water into the houses of London was made by Peter Morris, A.D. 1582, who established the waterworks constructed under two of the arches of old Lon- don Bridge, but their supply extended only as far as Grace- church-street ; soon after, in 1594, similar works were erected near Broken Wharf, which supplied the houses in “'estcheap and around S. Paul’s, as far as Fleet-street. It was not until the reign of James, that any enterprise of this kind on a large scale was undertaken, when the formation of the New River was commenced by Sir Hugh Middleton in 1608, and completed in 1613. CONE (from the Greek, mime) a solid, bounded by two surfaces, one of which is a circle, called the base, and the other a convexity, ending in a point, called the vertex ; and of such a nature, that a straight line applied to any point in the cir- cumference of the base and to the vertex, will coincide with the convex surface. The straight line drawn from the centre of the base to the vertex of the cone, is called the (Iris. When the axis of the cone is perpendicular to the base, the cone is called a right cone, but when otherwise, it is called an oblique cone. If a cone be cut by a plane through its vertex, the section will be a triangle. If a cone be cut by a plane parallel to its base, the section will be a circle, or similar to the base. If a cone be cut by a plane, so as to make the portion cut of similar to the whole cone, the section will be a circle, or similar to the base. If a cone be cut by a plane parallel to a plane passing through the vertex, meeting the plane of the base produced without, the section is an ellipsis, except the part cut 011' be similar to the whole cone, as in the last position. If a cone be cut by a plane parallel to a plane in contact with its side, the section will be a parabola. If a cone be cut by a plane parallel to a section of the cone passing through the vertex, the section will be an liypel‘bola. Every cone is one-third part of a cylinder of the same base and altitude (Euclid, b. xii., prop. l0.), and cones of equal altitudes are to each other as their bases (Euclid, b. xii., prop. 11) ; therefore any cone whatever is the third part of ' a cylinder of equal base and altitude with the cone. The curved surface of a cone is equal to the sector of a circle, the radius of which is equal to the slanting side of the cone; and the arc-line of the sector is equal to the circumv ference of the base of the cone. CON 189 CON To find the solidity of a cone, multiply the area of the base by the altitude, and one-third of the product will give the solidity. Or, multiply one-third of the area of the base, which is the mean area, by the altitude of the cone, and the product will give the solidity. See CIRCLE. To find the curved surface of a cone, multiply the slanting side of the cone by the semi-circumference of the base, and the product will be the area of the curved surface. If the diameter of the base be given, the circumference must be found as directed under the article CIRCLE. If the perpendicular altitude be given, the slanting side of the cone will be ascertained by the 47th prop., Book i., Euclid. But if the cone be given, it will be much easier to take the slanting side and the circumference of the base, than its alti- tude and diameter; the operation will also be much shorter by taking the former dimensions than the latter. See CONIC SECTION, ELLIPSIS, ENVELOPE, HYPERBOLA, and PARA- BOLA. CON FESSIONAL, or CONFESSIONARY, in churches, a place, usually under the main altar, wherein the bones of deceased saints, martyrs, and confessors were deposited. CONFESSIONAL is also used in the Romish church, to designate a little box, or desk, in the church, in which the priest receives the confessions of the penitents. Few confessionals, if any, are to be found in England, although it is a common practice to set down all niches, for which no other use can be immediately discovered, under this title. CONFIGURATION, (from the French) the exterior superficies of a body, from which it receives its particular figure. CONGE, a concavity at the extremity of a vertical sur- face, where it bends off in a tangent, and projects forward until it meet a fillet, or other vertical surface, at an external angle. Thus the shaft of a column bends forward at the upper and lower ends, until it meet the fillet. The conge, when applied to a column, is part of the interior surface of a cylin- drical ring, and its section is generally a quarter of a circle. The term is derived from the French, conge, a curve; the Greek appellation is apophyge ; and the Latin, scapas, from which the English word scope is derived. See APOPHYGE. CONGERIES, a collection or heap of several bodies, united in one mass or aggregate. CONGRUITY, in geometry, a term applied to lines, angles, figures, and solids, which exactly cover each other, or coincide. Figures that are equal and similar have a con- gruity; as have solids, the figures of whose sides are con- gruous with the planes of the corresponding side at the same inclination. CONIC, relating to a cone. See CONE. CONIC SECTIONS, the curves formed by the intersection of a circular cone and a plane, the former being either oblique or right. The works of Apollonius and Archimedes are the first in which these sections were treated of; and their history is nothing but that of the addition of a few remarkable pro- perties, till the discovery that the path of a projected body in an unresisting space is a parabola, and that of a planet round the sun an ellipse. Though the name, therefore, of conic sections still remains, the interest which attaches to these curves, and the method of treating them, has no longer any reference to the accident from which they derive their name. The Greek geometers, in pure speculation, occupied themselves with the different methods in which a cone may be cut, simply because the conical (with the cylindrical and spherical) came within the restrictive definitions under which they had placed geometry ;-—but since the discovery to which We have alluded, we might as well attempt to write the his- 3 C tory of mathematics and physics, as that of conic sections in their results and consequences. Some sections of a cone are considered in elementary geo- metry, for a plane may meet a cone in a point, or in a single straight line, in two intersecting straight lines, or in a circle. But the curves, which are peculiarly conic sections, are the oval made by a plane which cuts the cone entirely on one side of the vertex, called the ELLIPSE; the indefinitely extended modification of this when the plane becomes parallel to any one slant side of the cone, called the PARABOLA; and the curve, which is partly on one side, and partly on the, other of the vertex, formed by a plane which cuts both sur- faces of the cone, called the HYPERBOLA. Below is appended some convenient methods of forming the sections upon a plane, without any reference to the cone. If each end of a string of greater length than the distance E F, Plate 1, Figure l, to be tied to the points E and F, and any intermediate point, B, be taken in the string, then the point B being carried round the line E F, so as to keep the parts, E B, B F, always stretched till it come to the point whence it began to move, the point B will trace out a curve, A B C D, which will be an ellipsis. If the end of a straight inflexible line, or rod, of a greater length than the distance E F, Figure 2, be fixed to one extremity, E, of the line, and one end of a string of greater length than the difference between E F and the length of the rod, be fixed to F, and the other end to the other end of the rod at N; then, if any point, B, be taken in the string, and the rod moved round the point E, so as to keep the parts N B, B F always stretched, the point B will trace out a curve, which will be an hyperbola. And if the end of the rod be moved from E, and fixed at F, and one end of the string moved from F, and fixed at E, the curve described after the same manner, is called an oppo- site hyperbola. In the ellipsis and hyperbola, the points E and F are called the foci; the line, A C, passing through the foci, joining the opposite parts of the curve, or curves, is called the transverse axis; and the point, C, in the middle of the transverse axis, is called the centre. In the ellipsis, any line drawn through the centre, and terminated by the opposite parts of the curve, is called a diameter; if another right line, terminated by the curve, be drawn parallel to a tangent at one extremity of the other diameter, such line is called a double ordinate ; and if it pass through the centre, it becomes a diameter ; then the two dia« meters, thus situated, are called conjugate diameters. When the conjugate diameters are at right angles to each other, they are called the axis of the cart-e. If there be a diameter, and a double ordinate to that diameter, the two segments of the diameter are called the abscissaa. Concentric ellipses are such as are similar, and have the same centre with the greater axis of the one upon the greater axis of the other, and the less upon the less. Most of the above definitions apply also to the hyperbola. If the side, A B, Figure 3, of a right angle or square, A B C, be applied to the straight-edge, A D, of a rule, and a thread, equal in length to BC, be fastened to the end, 0, of the right angle, with the other end to the fixed point, F; and if any point, E, be taken in the line, then if the edge, AB, of the square be moved along the straight-edge, AD, keeping the variable point, E, upon the side, B C, of the square, and the two portions C E and E F stretched, the point E will trace out a curve, which is a parabola. The point F is called thefocus. The line A D is the directrix. CON 190 CON The line L K passing through the focus perpendicular to the directrix, is the axis. The point I, where the axis cuts the curve, is the vertex. Any line parallel to the axis, terminated at one extremity by" the curve, and on the concave side of it, is called, a diameter. Any line parallel to a tangent at the limited end of a dia- meter, is called a double ordinate to that diameter. The limited part of a diameter, contained by the curve and a double ordinate, is called the abscissa of that double ordinate. Figures 4, 5, being given, to Let A B be the diameter, 6. An abscissa, the ordinate, and the diameter describe the ellipsis or hyperbola. A C the abscissa, and C D the ordi- nate. Draw AE parallel to CD, and D E parallel to CA. In D C take any number of points, F, G, H, and divide D E in the same proportion at]; g, h. Draw B F I, B G K, B 11 L ; likewise fI A, g K A, h L A, and through the points D, I, K, L, A, draw a curve. In the same manner may the curve for the opposite ordinate be drawn. When the extremities of the diameter are on different sides of the ordinate, the curve is an ellipsis; but when the extremities of the diameter are on the same side of the ordi— nate, the curve is an hyperbola. When the diameter, A B, is of infinite length, the ordinates, F I, G K, H L, will be parallel, then the curve is a parabola. Therefore, in Figure 4, the lines drawn from the points F, G, H, parallel to the transverse axis, or abscissa, A B, instead of being drawn to the point B, as in Figures 1, 2, 3, make the only difference. It is hardly possible to conceive more convenient or easier modes of description than these; their correctness may be proved by showing that their common properties are similar to those demonstrated of conic sections. Figures 7, 8, 9.—Let A B be the diameter, C D the ordinate, and AC the abscissa, as before. In CD take any point, G, and divide D E by g, in the same ratio as D C is by the point, G; draw g K A, B G K, Figure 7, and B K G, Figure 8; then, because of the similar triangles, B N K and BC G, B N : B C : : N K : C G; and also, because of the similar triangles AN K and AMG, AN : AM orgE : : NK : MGor CD. By construction we have g E : D E or C A : : C G : CD; and therefore by mul- tiplication we have BN + NA : BC + CA ::NK2: CD2, which property is known to be that of the ellipsis and hyperbola. Corollary—Since, in the parabola, B N and B C are of infi- nite length, and may therefore be said to be equal, BN and BC may therefore be expunged from the first two terms of the analogy in the above general property; then we shall have NA : GA : : NK2 : CD’. Or the truth of the operation may be shown by a particular demonstration for the parabola thus: See Figure 9. Because of the similar triangles AN K and A M g, AN: A M : : N K : Mg or C D; by construction we have A M : A C :: C G or N K : CD; and consequently, by multiplication, A N : A C : : N K2 : 0 D2, which is the property of the parabola. Figures 7, 8, 9.—In a conic section, are given the abscissa, AC, an ordinate, C D, and a point, K, in the curve .- to deter- mine the species, and thence to describe the curve. Draw E g D parallel to A C, and A E parallel to C D ; through the points Aand K draw A K g, cutting ED at g; make I) G: G C : : Dg : g E, and through the points K and G draw K G B or GKB, which, it' not parallel to A C, produce it until it meet A C or C A in B; then A B will be a diameter. In this case, the curve is an ellipsis or hyperbola. It is an ellipsis when the extremities of the diameter are on different sides of the ordinate, as in Figure 5 ; but when the extremities of the diameter are on the same side of the ordinate, the curve is an hyperbola. If K G be parallel to A C, the curve is a parabola. A diameter, A B, and an ordinate, C D, being thus ascertained, the curve will be described as in Figures 1, 2, 3. Other par- ticulars relating to these curves will be found under the arti- cles ELLIPSIS, HYPERBOLA, and PARABOLA. CONICAL ROOF, a roof whose exterior surface is shaped like a cone. CONICS. See CONIC SECTION. CON ISTRA, the pit of a theatre. CON J UGAT E DIAMETERS, of an ellipsis or hyperbola, any two diameters that are parallel to tangents at the extre- mities of each other. CONOID, (from the Greek, vaoet’dng, partaking of the figure of a cone), a figure generated by the revolution of a conic section round one of its axes. There are three kinds of conoids, viz., the elliptical, the hyperbolical, and the para- bolical ; which are sometimes otherwise denominated, ellipsoid, or spheroid, hyperboloid, and paraboloid. Now because the solid is generated by the revolution of the section of a cone upon its axis, the axis will then also be that of the solid. In this case, since, in the generation of the solid, every point of the curve will describe a circle, every sec- tion of the solid parallel to the base will be a circle. If a conoid be cut by a plane meeting the base, or the plane of the base produced, the section will be either an ellipsis, or an hyperbola, or a parabola. Every section of an ellipsoid oblique to its axis, is an ellipsis ; and if a paraboloid or hyperboloid be cut by a plane meeting the plane of the base, produced on the outside of the figure, the section will also be an ellipsis. In the paraboloid, if the cutting plane be parallel to the axis, the section will be an equal parabola. In the hyperboloid, if the solid be cut by a plane parallel to a section of the cone, made by a plane passing through the point where the asymptote of the generating section meets the axis of the solid produced, the section will be an hyperbola: but if the cutting plane be parallel to the plane in which is the asymptote, and at right angles with the generating section, the section will be a parabola. Thus the ellipsoid has only two sections, viz., the circle and the ellipsis : the paraboloid, three sections, viz. the circle, the ellipsis, and the parabola: the hyperboloid, four sections, viz., the circle, the ellipsis, the hyperbola, and the parabola: and the cone itself has five sections, viz., the triangle, the circle, the ellipsis, the hyperbola, and the parabola. The triangle is a section peculiar to the cone alone; the hyperbola, to the cone and hyperboloid ; the parabola, to the cone and parabolical and hyperbolical conoids ; and the circle and ellipsis are common not only to the cone, but also to each of the three conoids. All parallel sections of conoids are of similar figures ; though it may seem singular that this should be a general property, when it is considered that, in a cone, a section through the apex, or point, is a triangle, and a section parallel thereto is an hyperbola ; so that if the property existed generally, the triangular and hyperbolic sections of the cone so posited ought also to be similar. To reconcile this paradox, let us consider, that in all hyperbolical parallel sections of a cone, the asymptotes make equal angles, and the sections which are nearer to that passing through the apex of the cone, have : a greater degree of curvature at the vertex of these curves, , than those which are more remote, though both figures be : similar. Farther, if the legs of the hyperbola be infinitely . extended, they will be infinitely near a straight line, as they 2 will fall in with the asymptotes nearly, and the curved por- tion will bear no sensible magnitude, compared with the part which is comparatively straight, as the legs of the hyperbola «‘1 CON] 0 SECTII 0N§. PLA ’1']? I . E: § . {c HHH N , ' Ckxnmen» U _, CON 191 CON become straighter and straighter as they are more and more produced. Thus the curved portion may be con31dered as a mere point to the whole figure, in a section. through the vertex, the ideas of the general property seeming to vanish, or not apply ; but if we allow a parallel section, though ever so little distant, it can very easily be compared with any remote parallel section, and their difference Wlll be this, that, in like portions of the two curves, the Similar figures inscribed in the section nearer to the apex will be incomparably small to those of the section more remote, and in a parallel section passing through the vertex, the similar figures of comparison will he lost, as being of infinitely small magnitude. The section through the axis, which is the generating plane, is, in the spheroid, the greatest of all the parallel sec- tions; but in the hyperboloid, it is the least} and in the paraboloid, it is equal to any other parallel section. If an hyperbola be supposed to revolve With its asymptote upon its axis, the curve will generate a conoid, and the asymptote a cone ; and if these two solids be imagined to be cut by a plane in any position, then the two sections will be similar and concentric figures, of the same species in each solid. To find the solidity of a «maid—To the area of the base, add four times the area of the middle section, multiply one- sixth of the sum by the height, and the product will give the solidity. In the spheroid, one—sixth of four times the middle section only, multiplied by the height, gives the solidity; that is, two-thirds bf the ci'rcumscribing cylinder. ' Other particular rules and properties will be found under ELLII’SOlD, PARABOLOID, and HrPERBOLOID. CONOI’EUM, in antiquity, a sort of canopy of net-work, hung about beds, to keep away gnats and flies. CONSERVATORY (from the Latin, conservo, to keep) may be defined generally as a place for preserving anything in a state desired, as from loss, decay, or injury; in this sense, granaries for keeping corn, ice-houses, &c., may be called conservatories. In gardening, the word conservatory is so frequently con- founded with GREEN-HOUSE, and the terms are applied with so little precision to buildings used for preserving plants in an artificial climate, that it is difficult to define What is pro- perly a conservatory. “The term,” says a writer in the Penny Cyclopedia, “ which, as its meaning shows, was originally intended for buildings in which plants were pre- served during winter, has come to be used, firstly, for glass- houses in which plants are cultivated by growing them in the open border, and subsequently for all such glazed build- ings whatsoever. A conservatory, properly so called, is a brick building heated by artificial means, having its whole Soullwrll part closed by large glazed sashes, which may be opened or shut at pleasure. Its floor is generally of stone, and a part of it is occupied by a stage on which plants in pots can be placed. Such a conservatory was intended to preserve during the winter, orange-trees, myrtles, American aloes, and similar plants, which during the summer will flourish in the open air, but which require during the winter to be protected.” The modern or popular meaning of the word, is now almost the opposite of the original one, and a conservatory is said to diti’er from a green-house principally in this, that in the latter, the plants and trees stand in pots, placed upon stages; and in the former are regularly planted in beds of the finest composts, on being removed from the green-house, and taken out of the tubs or pots. By introducing stages, instead of beds, however, one may serve for the other. The construction of a conservatory is similar to that of a green-house; but it should be more spacious, elevated, and finished in a superior style. The sides, ends, and roofs should be of glass, in order to admit light freely, and to protect the plants. It should likewise be so situated as to be quite dry, receiving as much of the heat of the sun as possible during the day, and provided with flues to communicate heat when found necessary, and valves and other conveniences for the introduction of fresh air, when required, for the pur- pose of ventilation. In summerutime, the glass roofs are sometimes taken off, and the plants exposed to the open air, but on the approach of the autumnal frosts, they must be " restored. There is much diversity of opinion amongst practical men , as to the comparative merits of wood and iron in the con- struction of conservatories. Mr. J. Thompson, a man of great experience, in his “Practical Treatise,” gives the pre- ; ference to wood, although acknowledging the advantages of iron in lightness of appearance. “Any persons,” he observes, “having a knowledge of the expansion and contraction of metals, may form some idea of the expansion of a large iron I roof on a hot day during the months of July and August, and of the contraction on a severe frosty night; so great have ; I witnessed the action of the sun’s rays in expanding the iron ' rafters and lights upon a hot day, that it has required two or three men to draw down the sliding-lights ; and in an equal . proportion have I seen the contraction during the intensity of winter, so much so, that large apertures have appeared ; between the rafters and lights, which admitted the external air to such an extent, that it required the strength of two ‘ fires, and the fines heated to the greatest excess, before the ‘ house could be raised three degrees of heat, and this in a house of not very large dimensions.” This gentleman also objects to the iron-roofed houses, that they require double the quan- 3 tity of fuel that is necessary in houses otherwise constructed. 9 Notwithstanding some admitted disadvantages, the great ‘ convenience of iron, the readiness with which it is manufac- tured, and the extreme lightness and elegance of its appear- Some of the i ance, will always give it a great advantage. most magnificent conser'atories in this country, have been constructed of iron, amongst which we may especially notice that in the Botanic Garden, Regent’s Park. This building was erected under the direction of Mr. Decimus Burton, and forms the half of the centre part of the proposed “ Winter Garden,” in which, when completed, the subscribers to these beautiful gardens will be able to enjoy the luxury of the parterre at all seasons of the year. It is constructed of iron, principally wrought, the pillars and guttering only being cast. The water from the roof is conducted by the internal pillars, to large tanks under ground, from whence it is pumped up for the supply of the house. The building is heated by warm water conveyed through pipes arranged beneath the surface, in brick channels, having large outlets for the hot air, with air-ducts at intervals to create a current, and give increased action to the hot air in the drains. The boiler-house is beneath the ground, at some distance from the building. The structure is ventilated by sliding-lights in the roof, acted on by a simple contrivance, which opens and shuts the whole simultaneously, and is glazed with sheet-glass in long lengths. The whole building contains above eleven thousand super ficial feet. It was erected by Mr. Turner, of the Hammer- smith Ironworks, Dublin, at a cost of about £6,000. The conServatories at Sion House, the Duke of Northum- berland’s, Alton Towers, the Earl of Shrestury's, and the Duke of Devonshire‘s at Chatsworth, are on the most mag- nificent scale, and are especially worthy the study of the young architect who may be called on for designs for a build- _ _ _.__.._.___.._.._ __..._.._... _.. . ‘CON 192 mg of this description. He will also find much valuable practical information in Mr. J. W. Thompson’s work on the “ Construction of Stoves, and other IIorticultural Buildings.” The conveniences which may be attached to conservatories, consist of retiringsrooms, seed-rooms, aviaries, 8m. If there be no sheds behind, the walls should not be less than three bricks thick. CONSISTORY (from the Latin, consistorz'um) a large hall, at Rome, in which the college of cardinals meet to plead judiciary causes. CONSOLE (from the French) a bracket, or projecting body, formed like a curve of contrary flexure, scrolled at the ends, used for supporting a cornice, bust, or vase. Consoles have been used for supporting an entire order of columns, as in the barbarous architecture of the palace of Diocletian, at Spalatro. Consoles are otherwise denominated ancones, or trusses. CONSPIRING POWERS, in mechanics, such powers as act in directions not opposite to each other. CONSTRUCTION (Latin, construo, to heap up into one) the erection or disposition of several separate parts in such a manner, as to form a perfect and compact whole. A good knowledge of the principles of construction, forms an essential item in the qualifications of an architect. The principles of construction arise out of and are entirely depen— dent upon those of gravitation. “ Gravity,” says an excellent authority on this subject, “is the source of all the principles, inventions, and ingenuity, called into action in the structure of architectu 'al Works. The weight or downward tendency of their materials, is the cause of buildings holding together, or falling, or being thrust apart. G ‘avity in its various dynamic modifications, is the sole acting power which operates in a building. All the mechanical perfections of scientific building result from a clear knowledge of the operations of gravity, and from the ability to direct their course: all the mechanical defects of buildings, result from an ignorance of the laws ofgravity, and from inattention or inability to counter- balance their etfect. A judicious architect enslaves to his pur- pose the active force of gravity, and compels it to exert all its force in holding together more firmlyhis structure ; an ignorant or careless architect or workman, allows that force to exert itselfin w ‘acking, straining, distorting, breaking, and destroy- ing his work.” The methods in which gravity acts upon materials, are by compression, by tension, and by cross-strain. The first of these modes of ope 'ation is the simplest and least destructive, unless exerted to too great an extent, and is that which forms the basis of the most sound construction ; its tendency is to bring the particles of matter more closely together ; instances of its application occur in all simple constructions, such as upright piers, arches, 8:0. The second method, that of ten- sion, has :1 directly opposite tendency to the last, and exerts its influence in disengaging the atoms from each other, it is of course not naturally favourable to construction, but the contrary, nevertheless it is made a very etlicient and useful agent; its influence is never exerted but upon materials which have a strong counteracting tendency, and it is made avail- able to produce the first effect of gravity, or compression. Examples of its operation are to be met with in suspension— bridges, and in the tie-beams and king or queen-posts of trusses. The third method by which materials are affected by gravity, is cross-st ‘ain, which is 2 Combination of the two last, as it is tension effected by pressure, and its result is to tear or wrench the particles of matter asunder; it is in prin- ciple totally inimical to construction, and must be avoided or countC‘acted. Cross—st ‘ain occurs in unscientifically formed roofs, where struts rest upon a tic-beam, also when any ver- tical weight presses upon any horizontal beam, as in the case of bressummers ; it happens likewise, when heavy untrussed horizontal beams have too great a bearing, the effect in this case is termed sagging, and is counteracted by cambering or trussing the beam. . Analogous, and arising out of these operations of gravity, are the three great principles in construction—repose, equipoise, and tie. The first of these is the simplest, and is the principle most usually adopted in very ancient buildings; it is used where the materials are merely piled up perpendicularly, so as to form piers or columns with cross-beams, architraves, or lintcls, laid horizontally upon the piers or columns, pressing downwards merely with the gravity of these materials, without any thrust or other inclination to destroy the position 3 of any part of the arrangement. “ Buildings constructed on this principle, need only tenacity of material and unflinching foundations to be altogether perfect in construction ; but buildings of this kind, owing nothing to geometrical science, lead to an enormous consumption of materials ; all the materials of the horizontal spanning masses, of even a small building, must be huge, and are thence immensely expensive to procure, and to raise to their destined places ; if these spanning masses be either so long or so brittle as to yield by their own weight, or by that which may be put upon them, the principle of simple repose becomes destroyed ; the horizontal masses sink, and the piers or sustaining masses are thrust outwardly.” The disadvantages attending this mode of construction, led to theinvention of others, yet at the same time they all aimed at attaining the same end, namely, simple repose throughout the materials and different members of a building. The prin- ciple of equipoise in construction is this, that all tendencies to disturb or produce motion amongst the parts of a structure, should be counterbalanced by an equal and opposite tendency, and the most perfect exhibition of its powers is to be seen in the arch. This principle of building allovs of the employment of the smallest materials, and ensures stability with the least possible quantity of matter; it is therefore far preferable to the first method or principle. The third principle, of tying, is of modern invention, and by it the quiescent state of a structure is maintained, not by resisting the power as in the last case, by external opposition or abutments, but by con- fining the power by internal restraint. The principle is embodied in the structure termed a truss. The most perfect specimens of constructive science are to be found in the wonderful erections of the Gothic architects: “ The mideval Christian builders arrived to such a delicate and intimate acquaintance with architectural dynamics, that by the discovery of the way in which all the particles of their materials were affected by gravity, they were enabled, by merely subjecting them to the frangibility caused by com- pression, so to economize them, and reduce their quantity, that many members of Gothic edifices, after five hundred years’ devastation by time, are more sound than corresponding members of our modern builders, which have not subsisted fifty y Ears, and which contain five times their proportion of materials. So admirable in general is the skill displayed in the dynamic disposition of the material of a Gothic cathedral, so shrewdly are the forces of its gravitation reduced to simple compression, that the whole is like a wonderful piece of shoring, sublimely and permanently imitated in stone.” CONSTRUCTION, the art of describing a diagram or scheme from given data. In geometrical constructions, the accuracy of the diag 'am' depends upon that of the points by which the lines constitut~ ing the figure are found. It is, therefore, of the utmost' consequence to ascertain the situation of points correctly by lines crossing at right angles, or as nearly so as possible CON 193 CON The choice .of this is not at all times in the power 0f the geometer, but when it is, he ought to.avail himself of it. The situation of a point must be ascertained by tne intersec- tion of two lines, and since a line cannot be Without breadth, it will be an oblong, and the intersection of two lines Will be a parallelogram; when the lines cross at right angles, the parallelogram will form a square; and when athoblique angles it will be a rhombus. In all these 03368, t e pomt required is in the intersection of the diagonals of the paral- lelogram. Now the least of all the parallelograms formed by the intersection of two lines of equal breadth, is a square; but the greater the obliquity of the lines of intersection, the longer will be the rhombus; and as the drawing of the figure depends upon vision, the more indistinct Will the angles of the figure so formed become, and consequently the Situa- tion of the point must be almost guessed at. In some cases, the obliquity of the intersection is of little consequence; as, in finding a curve by points, Where the lines, which form the intersection, fall very nearly in with the curve itself, or make very acute angles with the tangent, unless it .be required to find the points in the curve in a given ratio; but if, in finding a point, through which a line is to pass from another given point, to meet a line, of which some parts are either given or found, or to be found, it will be of the utmost consequence to determine with accuracy the situ- ation of the intermediate point; for the point ascertained in the other line will vary from its true place, more or less, according to the distance of the intermediate point found by the intersection. Another source of error, arising from the intersection of oblique lines, which will also be more or less accurate, as the obliquity is less or greater, is, when one or both the lines are not exactly drawn through their extremities; even the deviation of a line being drawn its own breadth, will make the intersection fall its own length (which is the diagonal of the rhombus) to the end of the true intersection. Let it also be considered, that the longer diagonal of the rhombus may be of any length whatever, depending upon the obliquity of angles formed by the two intersecting lines. In the description of a diagram, when different points are ascertained in a line, in pointing out the line to the reader, it would be better to name all the letters in the order as they stand, instead of pointing out the line by two of the letters, par- ticularly in a complicated diagram, where many other lines are Concerned. This is still more necessary when several lines meet at the same point, as the use of all the letters not only gives a more immediate clue to identify the line from others, but also shortens the description, as the same letters must be used again, in pointing out the other lines which cross the former line, and will thus supersede the necessity of the frequent repetition, after a line has been drawn in the required position to cut a former, of saying, “ cutting such a line in the point” A or B, or whatever it may be; as the same letter cannot be in two lines, except at their inter- section. In tracing the boundaries of angular figures, it will only be necessary to name the letters progressively, as they stand at the extremities of the sides, that is, at the angles; but to trace out the whole enclosure or perimeter, it would be neces- sary to name the first letter again, at the end of the series of letters. It is true, that a triangle, a quadrilateral, 860. will easily be understood, without naming the first letter again, by naming the figure at the same time, or the number of its sides, as in polygons the last side will always be wanting. Though these enumerations and repetitions of letters may appear clumsy, they lead sooner to an understanding of the 3 D construction, shorten the language, and give accuracy to the description. CONSTRUCTIVE CARPENTRY shows the method of reducing wood into forms, and joining the parts, as directed by the rules of DESCRIPTIVE CARPENTRY, or by the laws of strength, and thereby forming a complete design. It is much to be regretted that the first principles of this department of the art are frequently so little understood by those who are called upon to put them into practice. The young carpenter too often follows blindly in the track of those who have gone before him, without inquiry, and with», out even attempting to understand the mechanical construc- tion of the work he has just put together. We do not mean that the practical builder must necessarily make himself master of the higher branches of science, but that it would obviously be of advantage to him that he should acquire that general knowledge of the elementary principles of the art, which would enable him to select the best materials, and employ them in the best manner. Every species of construction should be characterized by stability, and a. careful regard to economy of materials. These objects can only be obtained by judicious combinations of the substances used, so that the greatest amount of strength be secured with the smallest expenditure of mate- rial. Unless the builder possess a considerable knowledge of the principles of mechanics, unless he be acquainted with the effect of pressure, and the resisting powers of different materials, he cannot comprehend, much less design, such combinations ; but becomes a mere labourer putting together the several parts of a work, without knowing their relative dependence on each other, or the strength, or want of strength, of the whole. He is, indeed, from the want of such knowledge as we have described, incapable of judging what are the best forms of construction, or which of several modes of uniting timbers it is most advisable to make use of. It is the province of constructive carpentry to show this, and the carpenter who is desirous to make himself thoroughly acquainted with his business, should study to acquire not only a practical knowledge of its details, but also some insight into the principles on which it is founded. Constructive carpentry, it has been observed, is the method of reducing wood into forms, and the combining of several parts into a complete, firm whole. In most works, especially those of magnitude, it will frequently be necessary to join one or more pieces of timber, in order to obtain beams, &c. of sufficient size, and in order to economize material. The processes by which these objects are effected is a subject of the greatest importance, as on their being properly and sub- stantially performed depends the stability of the structure in which they are used. Under this article then we propose to describe some of the most approved methods of uniting tim- ber, and to treat of the following operations, viz., the length- ening of beams, either by scarfing or joining them in pieces; the strengthening of beams by trussing; the methods ofjoin- ing two timbers at angles, in any given direction ; and, lastly, the mode of connecting several timbers, in order to perform certain functions required by the design. To lengthen a. piece of timber, is to join or fasten two separate pieces, so that a portion of the end of the one piece shall lap upon a portion of the end of the other, the sides of both making but one continued surface, and forming a close joint, called a scarf: It is evident, that in the formation of a continued straight timber, if the joint consist of a plane, or planes, at right angles to two opposite sides of the compound piece, but not at right angles to the plane of the other two opposite sides, the plane, or several planes, forming the scarf, will make the CON 194 CON oblique angles, constituted by the surface of each piece on the same side, supplements to each other; or whatever oblique angle or angles the one piece makes with a side, the corresponding angle or angles formed by the joint or joints with the same continued surface of the other, will, together, form two right angles, and thus the solid part of the one will be equal and similar to the void of the other. There are several methods of lengthening timber, either by joining whole pieces of the same transverse sections, and forming their ends, which are to come in contact in one or several planes, or by forming the connection by means of a third piece, or by building the piece to be lengthened in several thicknesses, making the joints abutting upon each other on the solid of the piece with which they come in con- tact on the parallel joint. It is evident, that two bodies united, and intended to act as one in a state of tension, can never be so strong as either piece taken separately. Tabling is a mode of indenting the ends of the pieces which form the scarf, so as to resist a longitudinal strain; the pieces, therefore, require to be held together, or otherwise the notches and the tables which fit into them would require to be dovetailed. In this construction, the tables between the notches would be a very feeble support, as they are apt to split away. It must also be observed, that one single table, or one abutting part of resistance, is stronger, and much more easy to execute, than two or four; and that the resisting part should have as little projection as possible, because such projection diminishes the cohesive force, by a quantity of the timber equal in section to the abutting parts. Two pieces of timber may be very firmly fixed, by making the ends of the tables, instead of abutting, to form a tapering mortise, so that when the two pieces are brought close at the connecting surfaces, a wedge driven into the cavity will bring all the parts of the joint into contact. Every two pieces of timber require to be held together by some force compressing them equally on each side, particularly when the pieces are light; for which purpose iron bolts are very convenient, they acting as a tie, and having the same effect as two equal and opposite forces would have in com- pressing the beam on each side of the scarf; and as iron is of great strength, the bore made to receive the bolt will not be so large as to diminish the section, and consequently the firmness of the timber at the scarf, in any considerable degree; whereas, when wooden pins are used, they require a large bore, which weakens the timber, and the two pieces thus connected are not so firmly compressed, or, indeed, compressed at all, but are held together almost solely by friction. No limited distance can be specified for the length of the scarf; though it may be observed, generally, that a long scarf has no effect in diminishing the cohesive strength of a compound piece of timber. On the (:ontrary, a long scarf gives an opportunity of increasing the number of bolts, which are the only ties when no tablings are used, as is the case where the abutting parts unite only by compression. It must here be understood, that all such abutting parts diminish the cohesive force in the proportion of their abutting surface to that of the whole section at any one of the abutments; so that, should a scarf consist of a series of steps, formed by planes parallel and perpendicular to two of the opposite sides, the transverse sides of these steps to those of the piece should be all equal; and the greater the number of steps, the less will the strength be impaired; but if they be unequal, the timber will be weakest at the greatest section or compressed abutment, and if few, the section will be large, and the piece consequently deprived of a proportional degree of strength. We may also add, if the two pieces be strapped longitudinally across their abutting parts, the cohesive force will be considerably assisted thereby. There is no part of carpentry which requires greater cor- rectness in workmanship than scarfing; as all the indents should bear equally, otherwise the greater part of the strength will be lost. Hence we see how very unfit some of the l complicated forms shown in the old works on carpentry were i for the purpose. It is certainly the height of absurdity to render the parts difficult to be fitted, when the whole of the strength depends on their fitting well. “But many,” says I I I i l l t l Professor Robison, “ seem to aim at making the beam ‘ stronger than if it were of one piece; and this inconsiderate ; project has given rise to many whimsical modes of tabling and scarfing.” Having already shown many varieties of scarfings, under the general head of CARPENTRY, we shall here only point out the most approved forms for practical purposes, by way of 1 illustrating the preceding observations. 0 u I ' Figure 1. Two pieces of timber connected by a Single ? step on each piece. neither is the scarf so capable of resisting the force of tension as a single piece of timber would be, were it sawed half through its thickness from the opposite side, at a distance equal to the length of the scarf: however, if assisted by Here more than half the power is lost; 9 l straps, it may perhaps be capable of resisting a much greater ‘ force, particularly if each opposite surface be bolted on the sides of the transverse joints through the straps. Figure 2. An oblique scarf, bolted in three places. Allow- ing the utmost cohesion of the part of the joint A B, to be the same as whole timber, and that the transverse parts, A D or B C, are one-fourth of the breadth, D E, the compound timber will possess three-fourths of the strength of a solid piece. Figure 3. A scarf with parallel joints and a single table upon each piece. in an additional degree to that of Figure l, by the projection of the table; but this gives an opportunity of driving a. wedge through the joint, between the ends of the tables, and thereby forcing the abutting parts to a joint. This mode requires the scarf to be longer than those which have no tables; and the transverse parts of the scarf must also be strapped and bolted. Figure 4. Allows of the same opportunity of wedging as before: if we could suppose the parts A B and C D to be com- pressed by bolts as firmly together as if they were but one piece they would be, by the continuity of the fibres, and if the projection of the tables be equal to the transverse parts Here the cohesive strength is diminished, , of the joints at A and D; the loss of strength, compared with that of a solid piece, will be no more than what it would be . at A and D. i Let it be here observed, once for all, that the strapping ‘_ across the transverse part of the joint is the most effectual ? mode of preventing the pieces from being drawn from each other, by the sliding of the longitudinal parts of the scarf, and thereby giving the bolts an oblique position. Figure 5. A scarf formed by several steps. In this, if all 1 the transverse parts of the steps be equal, and the longitudinal ' parts as strongly compressed by bolts as the fibres of whole timber would adhere laterally, the loss of strength would only be a fourth, compared to that of a solid piece; there being four transverse parts, that is, the part which the end of a step is of the whole. Figure 6. The end of each piece is formed by three steps, and the abutting parts of the middle step being greater than that at either extremity, the loss of strength in the compound timber is the part which the middle abutting surfaces are of the whole section. Hi | l 'llll li il' 1 I I C QNSTRETf-TH‘VE {T AREBEN'E‘ERY. I TE LON—DON PFJJITTNG A1723 BLIS EWG 1’22]. 3. ‘5. _~ “333*; C (ImN'f_ ..T. ELITE: [7,117]! .7. was, flnmw 152;; \V {IN I it; _u E E311. Mg. ,///’=“ 2 %¢¢~ \ 7/ 7? /; \\ 12:912. ZWJ. fig,.12..2v.»2. ' '31 (S.- N N I“ a IlllWW"WWW ' _= Ill}: I.” .3. WWNF?*‘?;E%<3WL52 II I W 7WWMF ' 59.12. I.“ 7. i//if,;£::::;:;;é;k:;::ff:::;:=:=;€géég;;éEe2___ I‘H'E? LONDON RRLN [1373 AN? 2;... - CON 195 CON Figure 7. A scarf consisting .of ‘six steps, .the abutting parts being equal, and the longitudinal parts inclined 1n a small degree to the sides ; so that. when the two parts come to be bolted together, the pieces Wlll dovetail each other, and thereby prevent their being drawn; but as all timber is liable to shrink in proportion to the dupensnons of its'section, no dependence can be put in dovetaihng, for the. shrinking may be so great, that the thickest parts of the solids at the abut- ment of the joint may pass through the narrower cav1t1es, and render the dovetails useless. We may also observe, in the case of bolting, that when the longitudinal parts shrink from each other, the bolts will be drawn obliquely, unless the transverse parts on the sides be stripped and bolted, both opposite to the scarf and through the solid at each end of 1t. The strength of the compound beam may hkew1se .be assrsted by the iron ; the dovetailing therefore can only give greater adhesion at first; at the same time, it occasions a small loss of strength, equal to the difference of the extreme end of the outer step and the nearer end of the whole section. Figure 8. The method of forming a compound timber, when the two pieces are not of sufficient length to allow them to lap, by means of a third piece, connected with both by a double scarf, formed of several degrees, or steps; the pieces abutting upon each other, with the middle of the connecting piece over their abutment. When girders are extended beyond a certain length, they bend under their own weight in the middle, and the degree of curvature will increase in a much greater degree than their lengths. An excellent method to prevent this sagging, with- out the assistance of uprights or posts from the ground or floor below, is, to make the beam in two equal lengths, and insert a truss, so that when the two pieces are bolted, the truss may be included between them, they forming its tie. To prevent any bad efi‘ects from shrinking, the truss-posts are generally constructed of iron, screwed and nutted at the ends; and to give a firmer abutment, the braces are let in with grooves into the side of each flitch. The abutments at the ends are also made of iron, and either screwed and nutted at each of the ends, and bolted through the thickness of both pieces, with a broad part in the middle, that the braces may abut upon the whole dimension of their section; or, the abutttnmts are made in the form of an inverted wedge at the bottom, and rise cylindrically to the top, where they are screwed and nutted. These modes may be either constructed with one king~bolt in the middle, or with a truss-bolt at one- third of the length from each end. When there are two bolts, they include a straining place in the middle. The tvvo braces may either be constructed of'oak, or cast or wrought iron; the latter material is, however, very seldom employed. As wood contracts less in length than most metals, oak is better for the purpose than cast iron, but then the parts of the core must be so much stronger. As to the bolts, wrought iron is indispensable. It is obvious, that the higher the girder, the less will the parts be affected by the stress, and conse- quently tlwrc will be less risk of their giving way under heavy weights, or through long bearings. [Vii/lire S). A beam of two thicknesses bolted together, the stunting of each length of timber alternating in the two thicknesses, so as to have the junction of two lengths in the one thickness opposite the centre of a length in the other thickness: the scarfing is similar to that of Figure 3. ' figure 10. A beam of three thicknesses bolted together, each thickness consisting of a number of short timbers so dispos‘cd, that the joints in no thickness come opposite the [Ulllls‘ in either of' the other thicknesses; a bolt occurs between every tv.'0joiuts. Figure 11. A section of a girder with two braces and a king-bolt. Figure 12. The section of a. girder with a straining piece, two braces, and two truss-bolts, of the best principle. No. 1, represents the girder laid open, in order to show the core. No. 2, the two parts bolted together. No. 3, the edge of a washer. No. 4, the face of the same. No. 5, the side of the cut metal bolts, in the transverse direction of the girder. N0. 6, the side of the same, in the longitudinal direction. No. 7, the transverse direction of the truss-bolt, or king-bolt. Figure 13. The section of a girder, calculated from its rise to sustain very heavy weights. It' the tie-beam be very strong, the abutments may be wedged ; but then the wedges ought to be very long, the tapper very small, that there may be no inclination to rise. The excess of length may be cut off afterwards. The bolts represented at No. 5, and No. 6, Figure 12, are nevertheless to be preferred. Two timbers may be joined, either by making both planes of contact parallel with or at right angles to the fibres, or by making the joint parallel with the fibres of the one piece, and at right or oblique angles to those of the other, or at oblique angles to the fibres of both pieces. When two pieces of timber are joined so that the common seam runs parallel with the fibres of both, the joint is called a longitudinaljoiut; but when the plane of the joint is at right angles to the fibres, it is an abutting, or butt-joint; this position brings the fibres of both pieces in the same straight line. If thejoint be at right angles to the fibres of one piece, and parallel with those of the other, it is called a squarejoz'nt; it' the joint be parallel with the fibres of one piece and oblique to those of the other, it is a beveljoiut; and lastly, if the joint be at oblique angles with the fibres of both pieces, the fibres forming an angle with each other double to that formed by the fibres of one piece and the joint, it is a mitrejoint. These are the general positions of simple joints in respect to the fibres of one or both pieces; those which may be com- pounded by the position ot' ditt‘erent planes, are of infinite variety, but as they seem to have little or no practical appli- cation, we shall not detain the reader longer on the subject. In fixing two pieces of timber together with longitudinal joints, the pieces are generally bolted, and sometimes pinned. As to butting and mitre joints, they are seldom or never used in carpentry. When two pieces of timber are joined together at one or more angles, the one piece will either meet the other and form one angle, or by crossing’it form two angles; or the two timbers will cross each other, and form four angles. In all the following cases of connecting two timbers, it is supposed that the sides of the pieces are parallel with the fibres, or, if the fibres be crooked, as nearly so as possible; and that each piece has at least one of its surfaces in the same plane with those of one of' the other; the four sides being at right angles to each other. The angle or angles so formed will either be right or obtuse. Notching is the most common and simple form, in permanent works, and in some cases the strongest, for joining two tim- bers atone or more angles, particularly when bolted at the joint. The form of the joint may be varied according to the position of the sides of the pieces, the number of angles, the quantity and direction of the stress on the one or both pieces, or any combination of these circumstances. In the notching of timbers upon each other, the notch is generally supposed to be formed by planes, at right angles to, and parallel with the side in which the excavation is made; therefore the part of' the corresponding piece must have its planes in a similar situation, the solid being contained between these planes, instead of the emptv space, or notch, as in the CON 196 CON other. It may also here be remarked, that the notch is generally supposed to consist of three planes, unless it be otherwise specified. Notching admits of the two pieces being joined at from one to four angles ; but joining by mortise and tenon admits only from one to two angles. In mortise and tenon joining, four sides of the mortise are always supposed to be at right angles to each other and to the surface whence it is recessed, and two of these sides to be parallel with each of the sides, which form a right angle with the side from which the mortise is made; the fifth plane, which is the bottom of the mortise, is parallel with the other. With respect to the tenon, four of its sides are parallel with the four sides of the piece. In the application of timbers to buildings, it is here sup- posed that all pieces cut for use have a rectangular section, and when laid horizontally have their sides perpendicular to, and parallel with, the horizon. If two pieces of timber are to be joined at four angles, cut a notch in one piece equal to the breadth of the other, so as to leave the remaining part of the thickness sufficiently strong, a very small excavation being sufficient; then insert. the other piece in the notch: or if the work be required to be very firm, notch each piece reciprocally to each other's breadth, and fasten them together by pins, spikes, or bolts, as the case may require: this form is applicable where the pieces are equally exposed to a strain. When one piece has to sustain another over it, transversely, and if only the upper be required to support a weight, cut a notch from its lower side, equal in breadth to about three- fourths of that of the lower piece, and as deep as the vertical distance that it is to be let down ; then the lower piece must have a notch cut in its vertical side, leaving the middle of the upper face entire to three-quarters of its breadth, and the lower parts of the vertical side entire, so that the vertical depth of each notch may be the same as that of the upper notch : by this means the strength of the supporting or lower pieces is diminished in a much less degree than if the notch were cut out the whole breadth. This method is applicable to roofing and naked flooring. The framing of timber by dovetail notching is chiefly applicable to horizontal framing, where the lower timber is sufficiently supported ; but where the lower timber is unsup- ported, it is common to use mortise and tenon, which does not weaken the timber in any considerable degree; where the timber is notched from the upper side, the operation reduces its thickness, and consequently impairs its strength ; though it may be said, if the solid of one piece fill the exca- Vation of the other, and both be tightly driven or forced together (if we can place implicit confidence in the experi- ments of Du Hamel) and if the pieces be not cut more than one-third through, there will be rather an accession than a loss of strength. It may be observed, however, that in large works, where heavy timbers are employed, it is difficult, or almost impossible, to fit them with due accuracy; and even where the joints closely fitted at first, the shrinking would occasion cavities on the sides, that would render the tenons of no avail, because the axis of fracture would be nearer to the breaking, or under side of the supporting piece. What has been observed with regard to horizontal pieces of timber, applies to framing in every position, where the force is to fall on the plane of the sides; and if a number of pieces thus liable to lateral pressure on either side, are to be framed into two other stiff pieces, the mortise and tenon will prove best for the purpose. When joists are framed into trimmers, the usual method is to make the mortise 0n the tenon with a plain shoulder, in the middle of the sides of its respective timber: this mode is particularly used in letting down bridging joists upon binding joists, and small rafters upon purlins. If it be required to join two pieces of timber, to form two right angles, so as to be immovable when the transverse is held or fixed fast, and the standing piece pulled in a direc- tion of its length; cut a dovetail notch across the breadth of the transverse piece, and notch out the vertical sides of the standing piece at the end, so as to form a corresponding similar and equal solid. In some pieces of work, besides the dovetail, an additional notch is cut, to receive the shoulder of the lower piece. If the position of these pieces be hori- zontal, and the upper of sufficient weight, or pressed down by any considerable force, when the pieces are put together in their place, the dovetail will be sufficiently strong without the assistance of pins, spikes, or bolts. This construction requires the timbers to be well seasoned, for otherwise the shrinking will permit the standing piece to be drawn out of the transverse, and thus defeat the purpose which the con- struction was intended to answer. The following method of remedying this defect will be found effectualz— Cut the transverse piece in two excavations from the upper side, so that if the breadth be supposed to be divided into five equal parts, and a notch equal in breadth to three parts he cut next to the outer vertical side, and the other notch be made equal to the breadth of one part, and each notch depressed from the upper face about one-third the thickness of the piece, so as to leave the second part on the upper surface next to the inner vertical side, and the two-thirds of the depth of each vertical side next to the lower side entire: then the corres- ponding single notch being made on the standing piece to the solid left on the upper surface of the transverse piece, the two pieces will reciprocally receive each other. \Vhen binding joints are framed into girders, as they have to support the bridging joists and boarding of the floor, there will be a considerable strain at their extremities; in order to make the tenons sufficiently strong to resist the weight, they should be framed with a shorter bearing tenon attached to the principal tenon and a sloping shoulder above, called a task ; tenons thus formed are called tusk tenons. \Vhen two parallel pieces, quite immovable, are to have another piece framed between them, proceed thusz—Insert the one end of the tenon of the connecting piece into a shal- low mortise, and make a long mortise in the opposite side of the other timber, so that when the cross piece is moved round the shoulder of the other extremity, as a centre, it may slide home to its situation: thus if the tenon at the movable end fit the mortise closely, the bottom of the mor- tise would be the arc of a circle, of which the shoulder of the tenon first formed would be the centre : but the bottom of the long mortise may be straight instead of circular, pro- vided it be sufficiently recessed to clear the end of the piece. This mode of framing a transverse piece between two others is employed in trimming in ceiling joists: the binding joists are always previously mortised before they are disposed in a situation to receive them, and the ceiling joists are seldom or never out to their lengths and fitted in before the building is covered over. “Then a transverse piece of timber is to be framed between two parallel joists, of which the vertical surfaces are not parallel. turn the upper edge of the transverse piece down- wards upon the upper horizontal surface of the joists; mark the interval or distance between them_ upon the surface of the transverse piece now under; then turn the transverse piece in the way it is intended to be framed, placing the edge over the places where it is to be let down; then apply a straight-edge to the oblique surface of the joist, and slide CON the transverse piece so as to bring the mark upon the upper side of it in a line with the straight-edge. This being done, proceed in the same manner with the other end, and the two lines drawn on the vertical Sides of the Intermediate piece will mark the shoulders of the tenons. This process is called by workmen tumbling-in joists, and is particularly useful when the timber is warped or twisted. . . Having shown the principles of lengthenlng timber and strengthening of beams, also the methods of Joining timbers at angles, we shall now proceed to construction in general: In groin centering, the boarding which forms the exterior surface for building upon is supported by transverse ribs of timber, which are either constructed simply, or with trusses, according to the magnitude of the work ; and as a grom con- sists generally of two vaults crossing each other, one of them is always boarded over, the same as a plain vault, without havingany respect to the other, which is afterwards ribbed and boarded, so as to make out the regular surface. Timbers disposed in walls and at returns or angles, are joined together where the magnitude of the building, or exposure to strain, may require. These are of three denomi- nations, as bond-timber, lintels, and wall-plates. Flooring is supported by one or more rows of parallel beams, called naked or carcasejlooring, and is denominated either single or double, accordingly. The manner of joining the timbers we have already spoken of. During the construction of the building, the flooring of carpentry, if not supported by brick or stone partitions, is either supported by the partitioning of timber or by shores. The construction of the flooring, whether single or double, depends upon the magnitude of the building, the horizontal dimensions of the apartments, or the weight which the board- ing may be required to support. When the flooring is required to be very stiff, it becomes necessary to use truss girders. Naked flooring for dancing upon should be made very strong, and so contrived that the upper part of it may spring, so as to bend to the impression of the force, while the lower part, sustaining the ceiling, remains immovable. Partitions are constructed of a row of timbers, or if the length of the bearing require very great stiffness, they are made of framed truss-work, and afterwards filled in with parallel timbers. The trussing of partitions may be made to assist in giving support to the floors, where they are unsupported below. The framing ought to be so managed as to discharge the office of hanging up the floor, in what- ever situation the doors are placed. Truss partitions are also of the utmost use in supporting the superior floor. The covering of the roof is sustained by one or several rows of parallel timbers, each row being in a plane parallel to the covering. The force of the timbers, which would act laterally upon the walls, is generally restrained by tie-beams placed upon wall-plates on the top of the walls, and fixed to the lower ends of the rafters. In roofing, many ingenious contrivances may be resorted to, their application depending upon the pitch of the roof, the number of compartments into which it may be divided, or whether there are to be tiesbeams or not. If an apartment is required to be coved into the rOof, a longitudinal truss, supported at the ends, may be placed in a vertical plane under the ridge, by which the rafters may be hung ; for it is evident, that if the upper ends of the rafters were held in their situation, their lower ends would descend by their gravity, and would describe arcs of circles in Vertical planes, and in their descent; would approach nearer together, and, consequently, instead of pushing out the walls, would have a tendency to draw them towards each uther. And if beams were placed transversely immediately 3 n 197 CON under the longitudinal truss, and fixed to the opposite rafters. they would act as straining pieces, and prevent the exterior sides of the roof from getting hollow. If the whole space within, under the rafters, were required, that is, to have no intermediate work of trussing, the sides of the roof may be prevented from descending by arching them with cast iron, or trussing them with wood in the inclined planes of their sides; and to restrain the pressure of the rafters, which would be discharged at the extremities of the building, a strong wall-plate, well connected in all its parts, must/be introduced, which acting as a tie, would prevent the lateral pressure forcing out the walls. In this construction, as well as in the former, the rafters would have a tendency, from their gravity, to become hollow; in this case straining beams should be introduced at a con- venient height, which would have a good efl'ect in counter- acting that tendency. If it be required to occupy very little space by the wood-work, cast-iron arches, abutting upon each other, and screwed with their planes upon the upper sides of the rafters, will answer the purpose best. The idea of trussing roofs upon these principles was discovered, many years ago, by Mr. P. Nicholson, in con- sequence of a dispute concerning a roof which had been constructed upon a chapel, and which had pushed out the walls to such an alarming degree as to threaten the demo- lition of the whole fabric: Mr. Nicholson was chosen as arbiter, but the principle which the architect adopted was so incompatible with the nature of the design, that, though chosen by the architect himself, he was under the disagree- able necessity of giving judgment in favour of the constructor. This roof was truncated, or flat, and the ceiling within cylindrical, extending horizontally the whole clear of the walls, and in height to the under sides of the camber-beams, so that there were no ties between opposite ‘afters. The principle consisted, therefore, of two sloping sides and a camber-beam, which were only tied together by angle—braces, and as the ceiling came in contact with the under side of the rafters and the under sides of the camber—beams, the braces were also disposed so that the middle of their under sides came in contact with the ceiling, and thus, to maintain the roof in its position, depended entirely upon the resistance of the walls, or upon the inflexibility of the timbers, or both; all of which were of unusual strength. The lesson which every architect ought to learn from this, is, always to construct his roof in such a manner as to make it entirely dependent on itself. In the year 1802, two years subsequent to the above dis- pute,a model of a roof was exhibited before a numerous meeting of the Philosophical Society at Glasgow, wherein the timbers consisted simply of rafters abutting at the top upon a ridge-piece, leaving the whole space under the rafters clear, and, of course, forming a triangular hollow prism, with the two upper sides parallel to the inclined planes of the exterior. The wall-plates were unsupported, except at the four corners, which were sustained by uprights or posts ; the pieces let in upon the upper sides of the rafters consisted of small arcs, almost straight, forming on each inclined plane a parabolic curve, and extending from post to post. From the ridge-piece equal and very considerable Weights were suspended, one from the meeting of every pair of rafters, without producing any visible effect upon the wall-plates. The form of a parabolic curve is best adapted to that of equal weights suspended at equal distances. Instead of arcs, simple trusses may be used, and the rafters may bridge over them. In many cases, where space is required, we cannot help thinking, that the disposition and fixing of the boarding in ) 1 l CON 198 CON the form of a truss, is vastly superior to placing them with their joints parallel to the horizon, and would be a very proper substitute for arching or. trussing the sides in all roofs of moderate dimensions. It must, however, be observed, that the meeting of every two boards ought to be as nearly as possible upon the middle of a rafter, and not over the hollow. To which we may add, that as all the joists are abutting in such disposition, the boards forming trussed work may be made thicker, and let into the rafters, which will give greater security to the abutments; but for this purpose they ought to be firmly fixed at their meeting, to prevent them from starting. The principle of arching the inclined sides of a roof, and making the wall-plates act as ties, is exhibited in the archi- tectural plates of Rees’ Cyclopedia, published in 1805. Circular roofs may be executed without ties, or without any precaution of trussing, as in rectangular buildings, but the wall-plate ought to be one continued mass. There are two methods of covering circular roofs with boards : one is, to bend the boards with their joints in horizontal planes; and the other is, to bend them in planes passing through the axis. As that species of circular roofs called domes lays considerable claim to our attention, it will here be proper to say something on their construction. If the dome be spherical, and have no lantern to support, the ribs may be constructed of boards in two or three thick- nesses, with the longitudinal joints of the boards tending to the axis of the dome, and intersecting the spherical edges, and the butting joints intersecting the sides of the ribs, which tend to the said axis. Let us now suppose the thickness of a rib to consist of three boards, and suppose the circular pieces which are to compose the ribs, to be all prepared of equal lengths and breadths. Take one of the lengths, suppose for the left-hand piece at the bottom, and lap the next higher length, which is the middle piece, two~thirds upon the lower piece; take another length for the right-hand piece, next higher, and lap this two—thirds on the middle piece; so that the right— hand piece will lap one-third upon the left-hand piece; between the ends of this third, bolt or pin the three pieces together; the middle board will want a third, the right-hand board two-thirds, to make it complete at the bottom; these parts being supplied and fixed, lay another board at the higher end of the right—hand board, the end of another to abut upon the higher end of the middle board, and the end of a third board to abut upon the upper end of the left-hand board, then there will be three plies of boards, which must be fastened together between each pair of heading joints, which are three in number. Proceed in like manner with every succeeding three boards, as with the last three, until you arrive at the top, and the deficiency must be supplied as at the bottom. In this manner, every rib in succession must be constructed, until they are all finished. Each rib ought to be fitted to the curvature of the axal section of the dome, drawn on a floor, and the three thicknesses fixed together throughout the whole length, before it is removed. If, in addition to the fixing, the joints be strapped, it will add considerably to the strength, and will not be much inferior to that of a solid piece. In large domes of this construction, it becomes necessary to discontinue the ribs, otherwise an unnecessary quantity of timber would be employed; and it must be observed, that the greatest intervals must be so regulated in their dimensions, as not to be greater than what Would make the horizontal ribs for the boarding, when fixed, sufficiently strong. As all domes are best boarded with their joints in vertical planes tending to the axis, horizontal pieces must, in this case, be strutted between the ribs, and their outer sides formed with the spherical surface. A dome constructed in this manner, might also be made to support a heavy lantern, provided the strutting-pieces were strapped together. In the above manner was the timber dome of the Halle du Bled, at Paris, constructed by Moulineau, supposed to be the first of the kind. If the boarding of the dome is required to be bent, with the joints in horizontal planes, and the dome have no lantern, a very good method is, to construct it with several vertical ribs, their planes being disposed at equal angles round the axis as their common vertex, and constructed according to the above method; between every pair of such ribs, place other ribs, the curvature of which will be portions of less circles of the sphere, unless one stand in each interval, and its plane bisect the inclination of the vertical planes of the two adjacent principal ribs: dispose of these ribs in equidis- tant parallel planes, and fit their upper ends upon the sides of the principal ribs. This disposition of the ribs will be a considerable saving of timber, besides what it would have been, had the planes of all the ribs tended to the axis. In the construction of plaster groins, two methods are employed in the disposition and fixing of the ribs. By both methods, ribs are made to answer the intersections at the angles: by one method, ribs are formed to the transverse sections of the vault, and disposed in vertical planes accord- ingly; but by the other, the ribs are prepared straight, and fixed parallel to the axis of each vault. The lathing for plaster is sustained upon walls, by a number of parallel posts of very small scantlings, called battening, and ranged according to the figure they are intended to form. CON TABULATE, to floor with boards. CONTACT (from the Latin, contactus, touch) the mutual touching, or meeting, of two things. CONTACT, in geometry, is when a line or plane meets a figure or solid, without cutting it, though the line or plane be produced. Thus, a line and a circle are in contact when . the line is a tangent to the circle; and two circles are in: mutual contact, when they touch each other without cutting: the like .is to be understood of a plane and a convex body, as . a cylinder, cone, conoid, 8w. CONTENT (from the Latin, contentus) that which is contained, the thing held, included, or comprehended within . a limit or line. In geometry, the area or quantity of? matter or space included in certain lines. Linear content, length simply; superficial content, area or surface; solid. content, the number of cubic inches, feet, yards, &c., con- tained in a given space. CONTEXT URE (from the Latin, contexo, woven) the. disposition or union of the constituent parts of a body in' respect of each other. CON TIGNAT ION (from the Latin contignatio, con and :‘ tignum, a beam), a frame of beams, in ancient Roman car- pentry, the same as we now understand by naked flooring. CONTIGUITY (from the Latin, contiguus, to meet) the relation of surfaces or solids whereby their sides join each . other. CONTIGUOUS ANGLES, in geometry. See ANGLES. CONTINUED, a term applied to whatever is not inter- rupted, but proceeds in the same course. CONTINUED ATTIC, an attic not broken into pilasters. CONTINUED PEDESTAL, a pedestal with its mouldings and . dado, or die, continued both through the column and inter- column, without being broken. CONTINUED PROPORTION, is when there is a series of lines or quantities, such that the first is to the second as the second ‘ ‘_ CON 199 COP is to the third, and the second to the third as the third to the fourth and so on. . . CoriTINUED SOCLE, the same as a continued plinth. See PICI‘OINTINUOUS BEARINGS, balks of .timber laid under the rails of a railway for their support, in place of stone sleepers, or blocks fixed at certain Intervals. These balks, or longitudinal sleepers, as they are generally termed, are secured to cross transoms fixed to piles. . CONTINUOUS IMPOST, in mediseval architecture, the mould- ings of an arch carried down to. the ground Without inter- ruption, or anything to mark the impost-pomt. CONTOR’I‘ED, wreathed. See WREATHED. . CONTOUR (from the French; synonymous‘wnh con- torno, Italian) the outline of a body; to have which correct, is one of the greatest requisites in drawmg and painting. CON TRAMURE. See COUNTERMURE. CONTRAMURE (from the French, centre, against, and mur, a wall) in fortification, an external wall built about the walls of a city. CON'I‘RARY FLEXURE, Point of, or Pom'r OF RETRO- GRESSION, the point in which two curves meet that have the convexity of the one and the concavity of the other on the same side of the line. CONTRAST (from the French, contraste) to avoid the repetition of the same thing, by introducing variety; as is done in antique edifices, where rectangular and cylindrical niches with spherical heads are alternately introduced; also, in the dressings of niches, as in the Pantheon, tabernacles are introduced with circular and triangular pediments alter- natel 7. CONTRAVALLATION, (in fortification), a trench guarded with a parapet, thrown round a besieged place by the besiegers, to protect themselves, and check sallies of the garrison. CONVENIENCE (from the Latin, convenientia) an easy ‘_ or accessible distribution of apartments in respect to the intention of the design. CONVENT (from the Latin, conventus, an assembly). See llIoNAs'rERr. CoNVENT, a religious edifice, in which lived assemblies of persons devoted to a religious life, under the authority of a superior. Convents for males are termed monasteries, those for females, nuuneries; when under the jurisdiction of an abbot, or abbess, they are named abbeys, and under that of a prior, or prioress, priories. CONVENTUAL CHURCH, a church belonging to a convent, and consisting of regular clerks, professing some order of religion, or of a dean and chapter, or other societies of spiritual men. CONVERGENT CURVE. See CURVE. CONVERGENT LINES, such lines as if produced would meet. CONVEX LINE, that side of a curve which has no con- trary ilcxure, and on which a tangent may be drawn. CUNVEX RECTILINEAR SURFACE, a curved surface, such, that if any point be taken, a straight line passing through the point can only be drawn in one direction, and if another . point be taken out of the straight line so drawn, another straight line passing through this and the former point, will ‘ pass within the Solid. Bodies having this property are cones, cylinders, and many others. CONVEX SURFACE OF A SOLID, a‘EErved surface, in which, if any two points be taken, the straight line joining them will pass through the body: all the solids generated by the i revolutions of conic sections, except the triangle, have this ' property. CONVEXITY (from the Latin, concerns) the same as convex smface. CON VOLUTION (from the Latin, convolutio) a winding or turning motion. COOPER (from the Dutch, kgpe, a barrel) 9. person whose business it is to make vessels of wooden boards, hooped toge- ther around a circular or elliptic circumference. COOPERY, the art of making vessels of boards, by join- ing them edge to edge, and binding them round the exterior sides with hoops, so as to form a hollow body of circular or elliptic sections, and so as to contain a. liquid, with one or two ends. The boards of which vessels are made, are called, in the . rough state, clap-boards ; but when wrought up in the ves- sels, they are called staves. The art of coopery is a curious branch of mechanism; it requires a knowledge of geometry, as well as of the covering of solids, to be able to construct a vessel or cask of a rotative ' figure, agreeably to a given section through the axis; the edges of the staves require to be of a particular curvature, so that, when joined together, they may form the required contour of the vessel. This, though not a branch of architec- ture, is founded upon the same common principles. CO-ORDINATE (from the Latin, con, with, and ordi- natus, order) a term expressive of two objects holding the same rank. CO-ORDINATE PILLARS, such pillars as stand in equal order. COPED TOMB, one which has its top or covering sloping down towards both sides. COPESTONE, head or top-stone. COPING (from the Dutch, kop, the head) in masonry, the stones laid on the top of a wall, to strengthen and defend it from the injuries of the weather. COPING of equal thickness, is called parallel coping, and is only used upon inclined surfaces, as on a gable end, or in 3 situations sheltered from the rain; as on the top of a level wall intended to be covered by the roof. ' COPING thinner on one edge than on the other, for throw- ing off the water on one side of the wall, is called feat/zer- edged coping. COPING thick in the middle and thin at each edge, whether the back he formed of two planes meeting in an angle over the middle of the wall, or whether forming the arch of a circle in its transverse section, is called saddle-backed coping. This kind of coping throws the water on both sides, and may be used over the walls of sunk areas, or of a dwarf wall, which is to have an iron-railing, and in the best-con- structed fence-walls. COPING upon the gable end of a house, is called factabling, in Liverpool. COPING, in the pointed styles of architecture, is either inclined upon the faces, or plumb. When inclined upon the faces, the sides of the vertical section are the sides of an equilateral triangle, whose base is horizontal. This sort of coping is sometimes in one inclined plane, terminated with an astragal at the top, while at the bottom it changes its ‘ direction into a narrow vertical plane, which projects with i a level soflit before the parapet. Sometimes it is in two i inclined planes, parallel to each other, the upper terminated with an astragal at the summit, and projecting before the lower, and the lower before the vertical face of the wall, in l the same manner as that which has only one inclined plane. i This coping is used in plain parapets, or in battlements. When used in battlements, it is either returned on the 3 vertical sides of the embrasures or notches, or only crowns the top of the ascendants, and bottom of the notches. l The coping of battlements with vertical faces, has a small COR 20C COR —— projection beyond the face of the wall, and the coping is returned on the sides of the notches. Inclined coping is sometimes made without the astragal at the top, and the soflit before the vertical face of the parapet perpendicular to the inclined face of the coping. COPING OVER, is said of the soffit of a projecture from the naked of a wall, when the soffit is inclined so as to make an acute angle with the vertical face of the wall below it; that is, when the edge of the soth in the surface of the wall, or next to it, is higher than the outer edge. CORBEILS (from the Latin, corbis, a basket) a piece of carved work, representing baskets filled with flowers or fruit, to finish some ornament. CORBEL, a term used by some for a niche or hollow in a wall, to contain a statue, bust, 8w. CORBEL, a block of stone or other material projecting from the face of a wall, and used to support a super-incumbent weight, such as the beams of a roof, ribs of vaulting, columns, and such like. The term is confined chiefly to such supports employed in Gothic architecture, in the buildings of which styles corbels occur very frequently; they perform somewhat of a similar office to the modillions or consoles used in Classical buildings, but their more perfect prototype is to be seen in the projecting figures and heads supporting consoles, in the remains of the baths of Dioclesian, at Rome. Corbels are usually carved in grotesque heads, animals, flowers, 810.; in the Romanesque style they are either simple square blocks with the face occasionally rounded, or carved in the shape of grotesque heads; in the Early-pointed, the corbels are sometimes moulded, and in the richer specimens carved into knops of foliage; when heads or masks are used, 3 they are not of such grotesque appearance as during the pre- 3 mouldincr ceding period; in the next style they are more frequently foliaged, and in the Perpendicular carved in the form of angels sometimes bearing shields and other devices; in the later styles, the corbel is usually terminated above by a g, or series of mouldings, forming a kind of capital. Corbels of large dimensions, such as those supporting a group of clustered columns, are generally very elaborately orna- mented in combinations of masses, or groups of foliage springing from one or more points underneath, and clustered together under the cap; sometimes groups of figures are introduced, as in the beautiful specimens to be seen in Exeter Cathedral. ' Corbels are not unfrequent in castellated architecture, and when so employed are of a very massive character. They have usually two of their sides vertical planes, perpendicular to the surface or face of the wall; and their other surfaces, which are their edges or fronts, quarters of cylindroids, with the greater axis of their section perpendicular. The edge of each corbel generally consists of one, two, and sometimes three convex rectilinear surfaces: when the edge of each bracket consists of two or three convex recti- linear surfaces, these surfaces are generally separated by fillets, which have vertical sides parallel to the face of the building, and horizontal sofiits. ' CORBELS are also a horizontal row of stones or timber, fixed in a wall, or in the side of a vault, for sustaining the timbers of a floor, or those of a roof. Many of the timber floors, or contignations, in old buildings, were thus supported; the timbers of the doi‘nic roof of St. Paul’s are tied to the conic vault by means of corbels. The ends of the corbels are generally cut into a convex or ogee form. Contacts, in the Caryatic order, are those parts upon the heads of the Caryatides, under the solfit of the architravc cornice, that represent baskets, or rather cushions, and have an abacus, as in the Grecian orders. The term is also used for the vase of the Corinthian capital, it being in form of a basket. CORBEL-BOLE, a moulding, in Norman architecture, em- ployed frequently to support a blocking course. It consists of two rows of billets or cubical blocks of stone disposed at intervals, and so arranged, that the blocks alternate in the two rows, a block coming under a space, and vice versa. See BILLET-MOULDING. CORBEL-STEPS, sometimes called corbz'e-steps, a term applied to steps up the sides of a gable; when the parapet is formed into a kind of battlement, broken into steps or ledges, which converge from the caves to the apex. Speci- mens are to be seen in many old houses, especially in Scot- land, Flanders, Holland, and Germany. They may have been used perhaps for extinguishing fire, or escaping from it, or merely for ornament. CORBEL-TABLE, a series of corbels disposed at regular intervals projecting from a wall, to support a parapet or other continuous projection, and frequently seen under the eaves of a roof. The corbels are occasionally plain, but often carved in the..shape of grotesque heads, and other devices, as above- mentioned. Sometimes the corbels are connected by small arches which intervene between them and the superstructure, and form its immediate support; these arches vary in shape, according to the style of architecture of the building in which they are employed, as do also the corbels ; in the Romanesque structures they are circular, during the next period inter- secting, and lastly, pointed and trefoiled. Corbel-tables were more frequent in the Romanesque styles than in any others, in which they form a bold and effective feature. They are found in a peculiar situation in many Lombardic struc- tures, running up the raking sides of the wall beneath the gable; a singular instance of this position is to be seen in the west gable of Adel Church, Yorkshire. CORBETT, a word used by Harris, in his Lexzcon, for a corbel. Corbetts, niches for images. CORBETTIS, a word used by Chaucer, for stones upon which images stand. CORBS, a Spanish word for architectural ornaments. CORD, in geometry. See CHORD. GORDON, the edge of a stone on the outside of a building. CORE, the interior part of anything. Every masonic wall should have thorough-stones at regular intervals, in order to strengthen the core, which is generally made of rubble- stones: or, otherwise, when thorough-stones are only to be had with difficulty, two bond-stones lapped upon each other, one from each face of the wall, may be used : or, instead of each thorough-stone lay two stones level on the upper bed, and one large stone in the core, lapped upon both, observing that the tails of the two lower stones be right-angled; by this means the two sides of the wall will be completely tied together. CORICEUM (from xwpmuov) in Grecian antiquity, the undressing-room belonging to the Gymnasium. CORINTHIAN ORDER, the third of the orders of Classical architecture, and the first of the foliaged, under which title we include the Corinthian and Composite. These two orders might conveniently be classified together, and reasonably too, if we Consider their general resemblance, and also that some examples of the former class differ as much from that which is considered their most perfect type or model, as do those which are included under the Composite or Roman order; if both styles were comprised under one division, it would form a Very distinct and marked style, which might be entitled the Roman or Foliaged order. How this particular class of examples obtained the appella- _v_.____ COR 201 COR ._-A non of Corinthian, is not very readily accounted for; one would naturally suppose this name was assigned on account of the origin of the style, 'or the prevalence of examples in Corinth or its neighbourhood, but such 18 by no means the case. In the first place, the origin has never been attributed to that locality by any author except Vitruvms, and even if we give credit to his account, the merltcf the first idea ought in fairness to be given to the Athenlans ; but at best the story told by this author rests on a very insecure foundation, as we shall presently attempt to Show : No other writer has alluded to any buildings of this order as existing at Corinth ; and if the style ever did prevail in that city, we have now not a single example remaining to testify to the fact. Vitrnvius’s account of the invention of the capital, is as follows :-—Callimachus, an Athenian sculptor, passing the tomb of a young lady, observed an acanthus growing upon the tomb, and seeing that the tops of the leaves were bent downwards, in the form of volutes, by the resistance of the tile, he took the hint, and executed some columns with foliatcd capitals, near Corinth, of a more slender proportion than those of the Ionic, imitative of the figure and delicacy of virgins. This story, though bearing no marks of improbability in itself, when compared with facts, loses a considerable amount of its credibility, and stands upon the same level as the other fanciful tales related by the same author. As regards the one more immediately before us, it need only be remarked, that the earliest specimens of this order have but little in agreement with the idea Which one would suppose to have preSented itself to the mind of an artist under the circum- stances related ; the foliage of what seems to be the earliest specimen extant, does not consist of acanthus leaves at all, but of what have from their shape been termed water-leaves; it is in the Roman examples we see the best illustration of the basket and acanthus; in short, the earlier the example, the less the resemblance, a fact which throws discredit upon the whole story, and would lead us to believe that the latter was invented by Vitruvius, not the order by Callimachus. Moreover, there is reason to doubt of the antiquity of the order being so great as Vitruvius would have us believe; for Callimaehus flourished about the 60th Olympiad, or 540 years before the Christian aara. We are informed by l’ausanias, lib. viii., that the ancient temple of Minerva, at Tegtea, in Arcadia, having been destroyed, a second edifice was erected, under the direction of Scopas, far exceed- ing in splendour and magnificence every building of the kind in the I’eloponncsus. In this structure, all the three Grecian orders were employed; the outside was embellished with colonnades of the Ionic order; and the hypaethral area of the interior was surrounded with porticos and galleries above, formed by the Doric and Corinthian orders. This aera of building may be placed in the fourth century before Christ, and is the first in which a distinct account of the Corinthian order being introduced in any regular building, is to be found. It was not in general request till the third age of Rome, under the emperors. The examples which are to be found in Greece, are but few, and some of them seem ofa date posterior to the period ofthe Romans getting possession of that country; such as the temple of Jupiter Olympius at Athens. Most modern writers are of opinion that the Corinthian capital was invented by the Egyptians, and with good reason; yet, although many bell-formed capitals are to be found among the ruins of Egypt, the taste, the delicacy of the foliage, the beautiful form and elegance of the leaves, caulicoli, and volutes, with the symmetrical and easy disposition of the whole, are superior to anything yet discovered among 3 F round the sides of a basket, covered with a' tile, and placed . the Egyptian ruins ; and even in the present day, this capital exhibits the utmost elegance, beauty, and richness, that have ever been attained in architectural composition, though many attempts have been made to exceed it. Some writers suppose that the Corinthian arose naturally out of the Doric order, and cite in favour of their hypothesis, the absence of bases, the simple capital, and the square abacus, in the Tower of the Winds, the use of mutules in the shape of modilions, and such like; but we think those who maintain its Egyptian origin, have the better evidence on their side. The Corinthian order, like the other two, after being introduced, continued to be the fashionable order» in Greece, Italy, and Asia; and was the only order well understood, and happily executed, by the Romans. Among the superb ruins of Balbec and Palmyra, excepting the lower Ionic order in the circular temple, and a Doric column at the former place, it is, we believe, the only order to be found. Vitruvius says, the shafts of Corinthian columns have the same symmetry as the Ionic, and that the difference between the entire columns arises only from that of the heights of their capitals; the Ionic being one-third, and the Corinthian the whole diameter of the shaft, which, therefore, makes the height of the Corinthian two-thirds of a diameter more than that of the Ionic: hence, as he has allowed the Ionic to be eight diameters, the Corinthian will be eight and two—thirds. The average height of the column, inclusive of capital and base, taking a mean proportional between those of the Pan- theon and of the temple of Jupiter Stator, is ten diameters, the shaft containing eight, and the remainder made up in the capital and base. The shaft in the ancient examples was almost invariably fluted, and the flutes occasionally filled to about one-third of their height with cabling; the number ofthe flutes is generally twenty-four, the same number as in the Ionic order, and arranged in the same manner, having a fillet between every two channels. The only ancient examples in which the flutes were omitted, were cases in which the shafts were composed of polished granite or some variegated marble, in which there was sufficient richness and play of colour,’with- out further decoration. The capital is separated from the shaft by an astragal and cincture, or fillet, and is in ‘the shape of an inverted bell, the ornamentation of which may be described as follows: Im— mediately above the astragal, are two rows of acanthus or olive leaves one above the other, each row consisting of eight leaves; the upper row is arranged in such a manner as to have one leaf immediately in the centre of each side of and beneath the abacus, and one other under each corner of the abacus, which altogether, one in the centre of each side, and one at each angle of the capital, will make up the eight leaves. The leaves of the lower range are disposed so as to alternate with those of the upper; that is to say, the spaces left between the lower leaves are occupied by the lower portions or stalks of the upper leaves, or, in other words, the upper leaves rise between the divisions of the lower ones. Between every two of the leaves of the upper or second series, rises a stalk, out of which springs a bunch of foliage, consisting of two leaves, one of which branches towards the centre of the abacus, and the other towards the angle. \Ve have therefore eight of these stalks, termed caulicolcs, each giving out two branches or leaves, of which therefore there are sixteen, and if we consider their direction as above described, we shall find that we have two of them tending to meet at each angle, one from each contiguous side of the capital, and two likewise tending towards the centre of each side above the central leaf of the second range. Out of each of the leaves at the angles, COR 202 COR proceeds in a diagonal line, a spiral horn or volute, the two at each angle meeting under the abacus, which they support; two similar though smaller ones emerging from the central leaves, meet under the centre of the abacus, and are sur- mounted by a small flower, called the flower of the capital. The abacus is square in its general plan, or rather is of such form as may be inscribed in a square; the sides are concave, curving out towards the angles, but the points which would be formed by the intersection of the curves, are most usually cut of; sometimes the corners are pointed, but rarely. This shape of the abacus arises out of the form of the capital, which recedes in the centre of each side, and projects at the angles ; the abacus does not overhang the capital. The mouldings consist of a cavetto, fillet, and echinus, the first and last of which are sometimes enriched. The proper Corinthian base differs from the Ionic or Attic, in having two smaller scotiae separated by two astragals; both bases, however, are used indiscriminately, and perhaps the Attic is more generally employed—it was preferred both by Palladio and Scamozzi. The above may be considered as a description of the stan- dard form, for the details of the order vary to a very con- siderable extent in the different examples, to such an extent, indeed, that there are'scarcely two ancient examples alike. The ornamentation of the capital differs very greatly in the Greek and Roman examples ; in the former, the leaves have angular points, and are almost straight on the sides, while in the latter they are altogether of a more rounded form, in fact the Greek leaves were more harsh and stifl“, and have the natural character of the acanthus, whereas the Roman are more artificial. In the Temple of the \Vinds, which is a very early, if not the earliest specimen remaining, the upper row of leaves, if it may be said to have more than one row, is merely carved upon the vase, and consists of broad flat leaves, which have been named from their appearance, water- leaves ; there are no volutes, and in consequence the abacus is not curved, but is merely a square block; add to this the. absence of a base, and you will perceive at once that this speci- men disagrees almost entirely from the description above given. In the temple of Vesta at Rome, which is probably copied from that at Jackly near Mylasa, the lower range of leaves, instead of following the line of the shaft as usual, project beyond it. The monument of Lysicrates is a beautiful though small specimen, and differs materially from any of the above ; in short, every example, whether Greek or Roman, has its peculiarity. The height of the abacus is one-seventh, the lower and upper tier of leaves each two-sevenths; and the caulicoli and volutes, which spring from the stalks between every two leaves in the upper row, the remaining two-sevenths of the diameter: the breadth of the capital at the bottom is one, and each diagonal of the abacus two diameters of the column. Vitruvius makes no mention of obtunding the corners of the abacus, as is generally practised by the ancients as well as the moderns: we are therefore led to suppose, that each pair of the four faces of the abacus were continued till they met in an acute angle at each corner, as in the temple of Vesta, at Rome, and in the Stoa, or Portico, at Athens. The division of the capital is the same as is frequently used by the moderns; but the entire-height is generally made one- sixth more than the diameter of the column, while that of the column is ten diameters. This order does not appear to have had any appropriate entablature in the time of Vitruvius 5 for, in book iii. chap. i. he informs us, that both Doric and Ionic entablatures were supported by Corinthian columns; whence it appears that the columns constituted the order, and not the entablature. “ The Corinthian,” says he, “ has no cornice, or other orna- ments peculiar to itself, but has either triglyphs, mutules in the cornice, and guttae in the epistylium, as in the Doric order ; or otherwise, the zophoras is ornamented, and dentils are disposed in the cornice, as in the Ionic.” This observation of Vitruvius regarding the use of the Doric entablature, is no less extraordinary in itself, than that it is unsupported by any ancient examples ; but his remark, concerning the Ionic, is verified in many instances; as in the temple at Jackly near Mylasa, the temple of Vesta near Tivoli, and that of Antoninus and Faustina at Rome; the arch of Adrian at Athens, the Incantada at Salonica, and the portico of Septimius Severus at Rome. However, in the remains of antiquity, we more generally find Corin- thian columns supporting an entablature of a peculiar species. This consists of architrave, frieze, and cornice, the first of which is divided into three faces, the lowest one much narrower than the upper two, with mouldings between each ; the upper surmounted by an astragal, ogee, and fillet, the middle by a small ogee, and the lower by a bead ; these mouldings were frequently plain, but sometimes enriched, more especially the two last-mentioned. The frieze was sometimes plain, sometimes enriched with sculptured figures, foliage, or other ornamentation. The most striking peculi- arities are to be observed in the cornice, which consists of the denticulated band of the Ionic, supported by an ogee and astragal enriched, and surmounted by an enriched astragal and echinus; over these are the mutules of the Doric, but their proportion is changed, and their figure converted into a console, which shows upon the ends and sides of each, the bottom being covered with a foliated leaf. The consoles in this application, are called modillions, and support the corona which consists of the same mouldings as the Ionic, with occasionally a greater amount of enrichment ; the cymatium is often decorated with lions’ heads, to serve as spouts or gurgoyles. This entablature does not appear to have been in use in the time of Vitruvius, since he takes no notice of it; though very particular in many other points less worthy of attention. The cornice here specified, is not only to be found in most of the ancient buildings of Italy, but is observed in all the celebrated works of Balbec and Palmyra. Thus the Romans, and other contemporary nations, affected to give the Corinthian order an appropriate entablature, though the Ionic was sometimes employed. “'e find also another form of cornice introduced occasionally, with modil- lions Consisting of two plain faces, instead of consoles, without any band below, either plain or denticulated. Examples of this are only to be found in the frontispiece of Nero, at Rome, and the Poicile, or Portico, at Athens. In some instances, an uncut dentil band is substituted in place of dentils, and in the temple of Antoninus and Faustina, both dentils and modillions are omitted. The above disposition inverts the order of the original hut, as well as the description given by Vitruvius. The only example where dentils are placed above modillions, is in the second cornice of the Tower of the Winds, at Athens; although Vitruvius seems to assert that the contrary practice of placing the modillions uppermost, was never resorted to by the Greeks. It is certain that the Romans employed modillions in the latter position, as is evidenced in the tem- ples of Jupiter Tonans and Jupiter Stator, as also in the Forum of Nerva. If the entablature be enriched, the shaft should be fluted, unless it be composed of variegated marble ; for a diversity of colours confuses even a smooth surface ; and if decorated, the ornament increases the confusion in a much greater degree. COR When the columns are within reach, the lower part of the fluteS, to about one-thirdof their height,issometimes filledwith cables, as in the case of the interior order of the Pantheon, With a view to strengthen the edges. In rich work of some modern buildings, the cables are composed of reeds, husks, spirally- twisted ribbands, flowers, and various other ornaments: but these trifles, which are of French origin, would be much better withheld, as their cost would be employed to greater advantage in giving majesty or grandeur to the other parts of the fabric. As the cornice, which has obtained the name of Corinthian, consists of so many members, it will be necessary to_increase the whole height of the entablature more than two diameters, so as to make the members distinct, and, at the same time, to preserve a just proportion between the cornice, frieze, and architrave, making the height of the entablature two-ninths of that of the column: but where the Ionic cornice, which is very appropriate, is to be employed, or the dentils and their cymatium omitted, two diameters, or a fifth of the height of the column, will be sufficient. It is by some considered ridiculous to give so many mem- bers to the cornice, since, say they, it is evident that these slight columns are incapable of bearing an entablature of the. same part of their height, as columns of fewer dia- meters are. Notwithstanding this, however, we cannot but think that the richer and deeper cornice is more in keeping with the character of the order, on account of the increased height and enrichment of the capital. The apparent weight does not depend so much upon the real bulk, as upon the arrangement and proportions of the different dimensions, for were. this the case, we might successfully employ the argu- ment produced by those who object to the loftier entablature, to disparage the beauty of the entire order. We might rea- son thus :——the Corinthian shaft is of the same proportions as the Ionic, and therefore equally light in appearance, how contrary to sound taste, is it, therefore, to load it with a capital of so much greater bulk, how much heavier the column will appear! Our objectors will readily see that this reasoning is false, because it is evident to the senses, that the Corinthian column, although surmounted by a capital of much greater bulk than the Ionic, has a much lighter and more elegant appearance ; and what is the cause of this ? It 203 COR is simply that the proportions are regulated in a different manner ; in the Ionic the breadth is in excess, in the Corin- thian the height. But there is another reason for the com- parative lightness of the Corinthian capital ; it is much more highly enriched than the Ionic, and this enrichment tends to make it a vast deal lighter in appearance; the difference ‘ between the unshapen block of stone and the finished capital, will be evident to any one who will picture the two in his mind’s eye. Now, all these arguments apply with equal truth in the comparison of the two entablatures; for our own parts, we think the larger the more elegant and the more imposing, . and certainly its cornice gives-the more complete finish to the whole order. “ The symmetry of the capital,” says Vitruvius, “is as fol- lows :—the height of the capital, including the abacus, is equal to the thickness of the Column at its lower end. The breadth of the abacus is so regulated, that its diagonal, from angle to angle, may be twice as great as the height of the capital ; for this gives a proper dimension to each face ; the fronts of the capital are bowed, or curved inwardly, from the extreme angles, a ninth part of its breadth. The bottom of the capital is as thick as the top of the column, without the apothesis and astragal. The thickness of the abacus is the seventh part of the height of the capital. The remainder, when the thickness of the abacus is deducted, is divided into three equal portions, of which one is given to the lower leaves ; the second is for the height of the middle leaves; and to the caulicoles, or stalks, from which the leaves project to support the abacus, the same height is given. The flowers on the four sides are in size equal to the thickness of the abacus.” From a comparison of ancient examples, the height of the capital varies in height from 60 minutes, or 1 diameter, the measurement of those belonging to the temple of Tivoli, to 87 minutes, the height of the Lysicrates example; the capital in the temple of Jupiter Stator measures 66 minutes. In the first case, the diagonal of the abacus is 81 minutes, in the last 97, and in the monument of Lysicrates, 94 minutes. Thus much for proportions; how greatly they vary in different examples, will be readily seen in the subjoined table taken from Knight’s Cyclopaedia :— Height Diameter Upper Height of of Diameter of Column. Base. of Shaft. Entablature. Ft. In. Ft. In. Ft. In. Ft. In. Incantada, at Salonica ............................................ 23 8.6 2 5.9 5 7.75 Temple of the Winds (without base) .............................. 13 6.35 1 7.4 Monument of Lysicrates, at Athens .............................. 11 7.67 1 2 0 11.65 2 8.218 Stoa, or Portico, at Athens .......................................... 28 0. 534 2 11.3 Arch of Trajan, Ancona ................................................ 23 2.7 2 4.25 2 0.25 5 6.3 Arch of Constantine ................................................... 27 4.1 2 11.2 2 9 7 1.2 Portico of Pantheon, at Rome ....................................... 46 5.2 4 10.4 4 3.5 10 11-6 Interior 0t Pantheon, at Rome .................................... 34 10.4 3 8.2 3 2.3 8 2-9 Temple of Antoninus and Faustina ................................. 46 7.7 4 10.3 4 2-8 10 91 Temple of Vesta, at Tivoli ......................................... 23 6 2 5 2 1.8 4 3 Architrave. Temple of Jupiter Tonans ......................................... 46 6.2 4 8.3 3 11.4 10 0 Temple of Jupiter Stator .......................................... 48 4.9 4 10.2 4 2.5 12 10.3 Temple of Vesta, at Rome .......................................... 34 7.2 3 2.5 2 8.1 Temple at Jackly, near Mylasa, in Asia Minor, the supposed site of Labranda ......... . ...................................... 27 2.8 2 10.35 2 3.6 5 6.6 Temple of Mars Ultor, at Rome .................................... 57 11 nearly 6 ft. 5 1.6 3 10.5 The proportions of this order vary to a very great extent; the following may be taken as an average :—shaft, 16 modules 20 minutes, base 30 minutes, capital 70 minutes, which gives 10 diameters for the whole column; the diminution of the shaft, from the base to the neck, is 7 minutes. The entabla- ture is about a fifth part, or quarter the height of the column if the latter, it would consist, in this case, of 5 modules, or 2% diameters, of which the architrave would occupy 45 minutes, the frieze 45 minutes, and the cornice 60 minutes, having altogether a projection of 58 minutes. COR 204 COR Although the Romans in all probability borrowed the idea of this order from the Greeks, and cannot therefore rightfully lay claim to its invention, they are fully entitled to the praise ’due to its perfection; the order, as far as we know it, is rather Roman than Greek. We cannot be said to know of more than three examples in Greece, and these are the Tower of the Winds, the Monument of Lysicrates, and the Tem- ple of Jupiter at Olympia; there are others, it is true, as the temple of Jupiter Olympius, at Athens, but this was erected long after the order had been practised by the Romans. The principal Italian specimens are the temple of Jupiter Stator, three columns of which remain in the Campo, Rome, and have been imitated at the office of the Board of Trade, London ; the Pantheon, copied in the portico of S. Martin’s Church ; the temple of Vesta, or the Sibyl, at Tivoli, copied at the Bank; the temples of Mars Ultor, Jupiter Capi- tolinus, Vesta, at Rome, Antoninus and Faustina, and of Jupiter Tonans. Copies of the columns of Choragic monu- ment are to be seen at S. Philip’s Chapel, S. James’s, and at the entrance to Exeter Hall ; original fragments may be seen in the Elgin collection at the British Museum, where there are also casts from the Pantheon, and the temples of Jupiter Stator and Mars Ultor. Amongst all the specimens which have come to our knowledge, thereare not two alike, they all vary in detail, and some very much so ; some fragments bear evidence of the introduction of figures of animals, 8w. The Corinthian order is appropriate for all buildings in which magnificence, elegance, and gaiety are requisite. Its splendour also recommends it in the decorations of palaces, galleries, theatres, banqueting-rooms, and other places con- secrated to festive mirth, or convivial recreation. The Romans, in borrowing their architecture from the Greeks, appear to have indiscriminately employed the Corin- thian order, which they found possessed of an ornamental character, adapted to the splendour and magnificence of their taste, in the same manner that the early Greeks used the Doric, and the Ionians the order which bears their name. Thus the Romans erected temples to Jupiter, Neptune, and I\Iars; and the Greeks to the same deities, of the Doric order: Thus the temples of Minerva, at Athens and at Sunium, are Doric, and the temple of Minerva, at I’riene, is Ionic. The temple of Jupiter Olympus, at Elis, was Doric; but that erected to the same idol, by Adrian, at Athens, is Corinthian. The orders of architecture appear to be altogether national; thus the numerous temples of Greece, and its Sicilian colo- nies, are Doric, and bear one general character: the Ionian cities present the best, the most elegant, and chaste examples of the Ionic order: while Italy, Balbec, and Palmyra exhibit the Corinthian order, almost to the exclusion of any other. Plate I. Figure l.—Nos. l and 2 show the method of pro- jecting the plan and elevation of the capital: thus, beginning with the plan, divide the semi-circumference of the top of the shaft into four equal parts, commencing and terminating with half a part, which will give the stems of the lower range of leaves, then complete the contour of the leaves, both in the elevation and plan, as shown under the article l’nomcriox ; divide each of the parts into halves on the said semi-circum- ference, and the points of bisection will mark the stems of the second or superior range of leaves. But ifthc true forms, as ascertained by the principles of prrjection, be impressed on the mind of the delineator, and if great nicety be not requisite, after dividing as above, and completing the 'outlines of the leaves on the plan by his eye, he may then draw lines from the bottom of each stem, and from the tips of each on the plan, to their respective places on the elevation, and there Complete the two ranges of leaves entirely by the eye ; here the jutting points, the stems, and breadths of the leaves, are the only guides in the formation of the outline. This process being only a preliminary, though necessary step to the rafliing of the leaves, the general contours, thus found, must be rubbed out, after inking the subdivisions, in order to make the foliage appear. Figure 2, is the yrofile of the modillions; No. 1, being the plan, showing the soffit inverted; and No. 2, the elevation of the same. Figure 3, is a leaf completely raflled to a large scale; No. l, is the front view ; No. 2, the profile or side view. Figure 4, shows the finished flower of the capital on a large scale. ~ Plate II. Some few of the more noted examples of Greece and Rome. Plate III. A finished elevation of the Corinthian base, capital, and entablature. The example here chosen, is from the three famed columns in the Campo Vaccino, at Rome, supposed to be the remains of the temple of Jupiter Stator, and certainly one of the most perfect and elegant remains of this order, that antiquity can produce. Plate IV. A general outline of the same, with the propor- tions of the members figured in minutes. CORINTIIIAN CECUS, an oecus decorated with the Corinthian order. See (ECUS. CORNICE (from the Latin, corona, a crowning) any moulded projection which crowns or finishes the part to which it is affixed ; thus we have the cornice of an order, of a pedestal, of a house, of a pier, of a door, of a window, 8:0. CORNICE OF AN ORDER, a secondary member of the order itself, or a primary member of the entablature. The enta- blature is divided into three principal parts, the upper one being the cornice. The forms of the particular cornices belonging to the orders, will be found under the heads Demo, on10, CORINTHIAN, Tuscax, anmROMAN. According to Vitruvius, the application of cornices to stone buildings originated in the juttings of the eaves of the first wooden structures, the cornice representing the uppermost beams of the roof, which are described by this author as assers, templates, and canthers, of which the last is supposed to apply to the common rafters, the first to the timbers immediately beneath the tiles, and the templates to the cross pieces between the two. The mutules represent the ends of rafters, and dentils the ends of laths for supporting the tiles, or covering ; but as the lath is more lofty in situation than the rafters, so ought the dentils to be more lofty than the mutules: this, however, is not the case in the joint application of these members in modern cornices. Our present practice of architecture was borrowed from the Romans, who, in all their works, inverted the natural disposition of these members. Vitruvius remarks, “ as the mutules represent the projectures of the canthers (rafters), the dentils of the Ionic order are in imitation of the projecture of the assers (laths‘. For this reason, in Grecian buildings, dentils are never placed under the mutuies ;.for assers cannot be under canthers. As, therefore, they should be above the authors and texnplates, if they are represented below them, the work is on false principles. The ancients, likewise, did not approve of placing mutules or dentils in the fastigium, but in the corona only ; because neither canthers nor asst-rs are laid towards the front of the fastigium, nor can they there project, for they are laid inclining towards the eaves. As, therefore, it could not be done in reality, they judged it not proper to be done in representation, for the propriety of all things. which they introduced in works of perfection, they derived from truth and nature, and approved only those which could bear the test of rational argument.” A Fly. 2. ' JV"! fag]. z. 2W 2‘ COMPjsffi‘ffi lflfiff‘.‘ED / / .r’//( E N J 4 H _._ th" Pru'1; 1» .ABT'C P {LYN (TILT: {SE LCNL’SON' fig. 2. \ CORINTHTLAN GENDER” PLATE Mo 44 1“ V .. V . '3," M v‘ {-\ _ *T" A. ‘_ . .7. , r) .. , ‘ , K ‘ . ‘ .,.. 7. - .. PM TE 19'. ’13. '~ 2 (2 U113 ‘l 1*: ",2'2122A2*: 22 2) 28.13222 12% . 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N1} COR 205 COT We have no example, in the remains of well-authenticated Grecian antiquity, of cornices, where both_ modillions and dentils are employed, except in the inner cornice of the Tower of the Winds, at Athens: in this instance, the assertion of Vitruvius is completely verified ;. for there the dentils are placed above the mutules: but in every Roman example, where both are employed in the same cornice, the very reverse takes place ; yet, with respect to pediments, we have an example in the frontispiece of the doors of the said Tower of the Winds, where dentils are employed in the inclined cornices of the pediments, contrary to the observatlons' of Vitruvius, and to the original principles whence, according to his theory, these members derived their existence. In the corniees of all Grecian edifices, particularly those of the Doric order, we always find one very bold member, with a broad vertical face, called the corona, which is one of the most distinguished members of the whole cornice: but in some of the Roman buildings, the corona is reduced to a mere fillet. See CORONA. CORNICES are divided into several kinds : An urchin-ave cornice rests upon the architrave, and the frieze is omitted. An instance of this may be seen in the famous Caryatic portico, at Athens. Cornices of this descrip- tion are adapted to situations where a regular entablature would be out of proportion to the body which it crowns. A nmtule cornice is appropriate to the Doric order, the mutules having inclined soflits. A (lentil cornice has a denticulated band, and is usually employed in the Ionic order, though very appropriate also for the Corinthian. A modillion cornice is one with modillions, which are a kind of mutules carved into consoles. It has been chiefly applied to the Corinthian order. A block cornice is that where plain rectangular prisms with level soilits are employed to support the corona, instead of mutules. A cuntaliver cornice is constructed of a horizontal row of timbers, projecting at right angles from the naked part ofa wall, for sustaining the superior parts of the cornice. Some- times the cantalivers are placed on the soflits and vertical sides, and sometimes they are cased with joinery. A cored cornice is one with a large cove, and generally lathcd and plastered upon brackets. Cornices of this kind are hardly used at this time, but are frequently found upon old houses. A mutilated cornice has some, or the whole of its mem- bers interrupted by another object, as the projection of a tablet, 8w. CORNUCOPIA, or CORNUCOPUE, the horn of plenty. Ovid tells us in his “ Fasti,” that one of the goats of Amalthea, who nursed the infant Jupiter in Crete, broke off its horn against a tree, when the nymph having wreathed it with flowus, and filled it with fruit, presented it to the god. When Jupiter came into power, he called Amalthea to the skies, and made. the horn the emblem of fertility. In the “ Metamorphoses,” the poet derives the origin of the Cornu- copia from a ditferent fable. He speaks of it as the horn of the riter-god Achelous, broken off by Hercules, and con- secrated by the Naiads. The real meaning of the fable is this, that in Libya there is a little territory, shaped something like a bullock’s horn, exceedingly fertile, given by king Ammon to his daughter Amalthea, whom the poets feign to have been Jupiter’s nurse. In architecture and sculpture, the cornucopia, or horn of plenty, is represented under the figure of a large horn, out of which issue fruits, flowers, 8:0. On medals, F. Joubert ob- serves, the cornucopia is given to all deities, genii, and heroes. 3 G CORONAKfrom the Latin) a member of the cornice, with a broad vertical face, and a bold projection. The solid, out of which it is formed, is generally recessed upwardsfrom its soflit; hence the Italians call it gocciolatios and lagrimatios, the French, larmier, and the English workmen, drip, from the circumstance of its discharging the rain-water in drops from its edge, and by this means sheltering the subordinate parts below. The corona is one of the principal members of the cornice, and that which marks its distinctive character, by the massive shadow which it produces on the plain surface of the frieze. This member, from being the principal feature of the cornice, ought never to be omitted. Grecian antiquity affords no instances of an order without a corona ; nor, indeed, are there many examples among the Romans. There is nothing in architecture better supported by reason, and by the general example of antiquity, than the necessary use of the corona. It is, however, omitted in the temple of Peace at Rome, the third order of the Coliseum, and the arch of Lyons, at Verona. It is singular, that in the arch of Constantine, the cornice finishes with the corona, surmounted with a fillet only; and in several other examples the corona has almost dwindled into a mere fillet. The frontispiece of Nero presents one of the boldest coronas of all the Roman works, being very nearly 16 minutes in height; the three columns in the Campo Vaccino is another example of an elegant and bold corona. In the temples of Minerva and Theseus, at Athens, it is divided into two faces. The term corona is sometimes applied by Vitruvius t0 the whole cornice, the word originally signifying a crown. CORONA LUCIS, a kind of chandelier anciently employed in churches, of beautiful and appropriate design, and admitting of delicate elaboration. COROSTROTA, according to Pliny, a kind of inlaid work. CORPS, (from the French) any part that projects or advances beyond the naked of the wall, to be used as a ground for some decoration. CORPSE-GATE, the same as LICH-GATE, which see. CORRIDOR, (from the French) a long gallery or passage around a building, leading to the several apartments; sometimes open one side, and sometimes enclosed on both sides. CORSA, the same as PLATBAND, which see. CORTILE, a small enclosed court. COSSUTIUS, a Roman citizen, who was architect to the temple of Jupiter Olympus, at Athens. COST, in building, the expense of any design, a knowledge of which is to be obtained by analyzing the whole, and making separate calculations of the quantity and expense of each part. In buildings of a similar description, the expense of the whole can be roughly ascertained, by taking the number of cubic , feet at an average rate ; but when the price of materials or labour, or of both, is subject to variation, this method will be liable to mislead. COTTAGE, a name mostly applied to a small house, erected for the use and accommodation either of the farm labourer, or those engaged in some other occupation, but more generally of those employed in agriculture. The word cottage is also used in modern parlance to designate a small elegant residence, more properly a villa, or, as sometimes called, a cottage orné. Houses of this description, however, do not belong to our present subject, which must be understood as treating of the cottage in the acceptation of the term explained in the preceding paragraph. COT Cottages were formerly constructed of rude and perishable materials ; as, earthy substances mixed with straw; and cottages of this consistence were denominated mud cottages in some districts, and cab and (lab in others ; but these have now given way to a more du ‘able kind, which, though per- haps as expensive in the erection, are much more comfortable, and cheaper in the end, as they require little or no repairs for many years. In the construction of cottages, economy, convenience, cleanliness, comfort, and decency, must be the chief points in view, and these ought to be united with as much picturesque beauty as circumstances will admit; “The accommodation required,” observes Mr. Dean, in his very interesting work, “Essays on Agricultural Build- ings,” “is not such as would be looked for by persons moving in a higher sphere of life, and who are accustomed, cem- paratively, to luxuries; the labourer belongs to a totally distinct class of society. Let the dwellings of the poor be scientifically constructed, and much illness and misery will be prevented. In effecting this, the whole community is interested, as parochial expenses are increased or diminished according to the healthy state of the labouring population. “Cottages should be warm and substantial; judgment will also be displayed when the architectu‘al character of the building is in harmony with its use. Their exteriors may be made exceedingly ornate by the application of a correct taste, which does not necessarily create much expense ; and although ornament is not a necessary appendage to stability or comfort, it frequently happens that ornamental buildings are preferred, and when judiciously disposed, will materially assist in heightening the landscape. It then becomes a question with the owner of an estate, whether he will, in the erection of cottages, incur a small additional outlay for this purpose. “ England has justly been designated a cultivated garden, and perhaps in no particular possesses a greater pre—eminenee of appearance over other countries, than in the beauty of her rural scenery; which, it is submitted, may be greatly enhanced by the substitution of cottages erected in accordance with architectu'al principles, in lieu of the clumsy-looking and comfortless buildings existing in many districts.” We fully agree with Mr. Dean in these observations, and we trust that noblemen and gentlemen in the management of their estates, will not only provide for the comfort of the poor in the erection of warm, well-constructed cottages, but that they will add some little in the way of ornament also. How much may the picturesque appearance of the cottage be increased by entrance-porches, overhanging roofs, and stacks of chimney—shafts, having ornamental sunnnits. The porch, independent of its architectu ‘al etfect, affords both warmth and shelter, as does also the overhanging roof. The lofty chimney clustered shafts, besides assisting to prevent a smoky room, have a very pleasing appearance. In the erection of cottages, it is preferable to build them in pairs if possible, as the cost is conside ‘ably less than when singly placed, and they are much warmer. The site also is a most important conside 'ation, as houses placed on low marshy soils, are liable to be damp. Independently of the miasma arising from the surface of the ground in such situa— tions, there is a continual humidity in the atmosphere, which communicates itself to all objects surrounded by it. This vapour is a deadly poison, acting on the human system through the medium of the lungs, and producing fevers and other epidemics. Good damage is the next. important consideration, and this may generally be obtained at a small cost. The common earthenware pipes, of an oval or egg-shaped form, about 206 COT 5 inches by 2-;- inches at bottom, are sufficiently capacious to carry off the drainage from a cottage; they are not so costly as brick-drains, and are more efficient. All drains should be trapped with a syphon trap, so as to prevent the escape of foul air, and the admission of vermin to the dwelling. The drains should communicate with a cesspool sunk in the garden, domed over with brick, having a stone man-hole or flap to enable the cottager to repair or cleanse it; or to avail himself of its contents for manuring his garden. A drain should also lead from the sink in the . scullery to the cesspool (trapped as before described), and " this should be so arranged as to carry off the water used .1 for washing the floors, when they are of stone, brick, or? composition. The cheapest and best form for the cesspool is that of a parallelogram about 5 feet long, 2 feet 6 inches wide, and 3 feet 6 inches deep. Cottages may be divided into several classes, or sizes: one i of the smallest size for the common labourer; the second size 1' for the labourer, who, by his frugality and industry, in earn- l ing more than ordinary wages, deserves a more comfortable 1 dwelling than that of the most common labourer; the third ' size, for the village shopkeeper, shoemaker, tailor, butcher, ° baker, &c.; the fourth size, for the small farmer, maltster, ale— house, or other trades, requiring room; the fifth size, for the large opulent farmer. Every cottage should have at least two apartments, and in many cases three, or even four. If the apartments be two in number, and in two floors, one roof will cover both; but then there must be the expense of an addi- tional floor, and a stair to get up to it, besides a loss of room in both floors, for the space occupied by the stairs; however, with respect to a sleeping apartment, a room in an upper story is more healthy than in a lower. In cottages which are built singly, the families are less liable to contention than in those which are joined: but in those which are built toge- ther, a considerable expense of walling will be saved, as the fines may be carried up in one common stalk, and in case of sudden trouble, one family may assist another. \Vhere a cottage consists of two stories, with a sleeping- room in the upper one, it would tend much to the comfort of the cottager, if the upper story were warmed by means of a ; flue from the fire below ; for this purpose, the vent ought to be carried up the middle, with its sides as thin as possible. Another mode, suggested by Mr. Beatson, is to permit the h tated air, which al\ 'ays ascends from the ceiling of the lower story, to ascend through an aperture in the floor of the upper' story; this may be done by means of g‘atings, or turning- - plates, in the least frequented part of the floor. \Yith respect to economy, Mr. London, in his treatises on. country-residences, has suggested a plan, by which he thinks: much more heat may be thrown out from a given quantity ofa fuel, than by any other method yet proposed, and even by ' more simple means. The grate which contains the fuel being placed on a level with the surface of the floor, makes thew smoke ascend slowly, and thus in its passage allows it time to give out its heat. ln small cottages, the stair -ase ought to be so constructed, as to take up as little room as possible. The chief conveniences of a single square cottage, are an eating-room of about 12 feet square; over this: sleeping- apartment, which may be partitioned in such a way, as will I best accommodate the. decency to be preserved in the famil '; ' an idea of this construction may easily be formed without a. plan. If the dimensions of the buildings be two or even threes feet more, it will give much more advantage in point of c0n-~ venience. For cottages built in rows, the accommodations may» be as follow: a room below, of 16 feet square, with the entrance-door and one window in front; the tire-place with an oven opening into it by means of a flue; a door opening~ COT 207 COT into a lean-to, at the back, for covering fuel, the tools of the labourer, and sheltering for a pig, &c.; apantry, fitted up with shelves, may be made under the stairs, 1n the lower com. I‘ To accommodate a large family, with children of different sexes, the necessary separation may be effected, by placing one bed over the other, and the entrance to each 0f the beds on alternate or different sides. There are two kinds of cottages, English and Scottish, used in Great Britain, of very distinct characters. The old English cottages were constructed of clay, turf, and other similar materials, supported and strengthened by posts and wooden braces, with a roof of very steep pitch, in order to lessen its pressure upon the walls, and to discharge the rain. The caves of the roof were continued downwards, so that the projection might throw the water from the surface of the walls, and by this means prevent not only the waste of materials, but the dampness which the interior would other— wise be liable to; the rain-water is also thus kept from the windows and door. The chimneys were generally carried up singly, in one or both ends of the building, most commonly on the outside of the wall. The covering of the roof con- sisted principally of straw, reeds, or slate-stone. Garrets were sometimes formed in the roof, with a window, either in the sloping sides, or in one of the gables. In consequence of the lowness of the side-wall, and to give sufficient light, the horizontal dimension of the window was much greater than the height. The long bearing of the lintel, or head of the window, was supported in the middle by an upright piece of timber, called a mmmion. The glass—frames were made to revolve upon hinges with a vertical axis, glazed with small Squares of glass, inserted in lead, and stiffened by cross pieces of wood, or frequently iron, called saddle-bars ; the form of the squares sometimes rectangular, but frequently rhomboidal, and the load into which they were inserted fixed to an iron frame. To this construction the cottager frequently added a small shed, for keeping a cow, and sometimes one or more hovels to the end of the side, which might be used as a pan- try, or as a place wherein to deposit his tools, or other arti- cles of convenience. It is probable that cottages were at first built of a single story only; but, in course of time, they were constructed two stories in height, and as the lower story could not then be protected by the roof, 8. projection of wood or slate-stone was introduced over the lower apertures, to pre- vent the rain—water from falling upon the wall. To make these projections ornamental, they were formed into labels of hewn-stoln', after the manner of those in Gothic edifices. The width of the English cottage does not admit of more than one room: the chimneys are variously ornamented, some- times schral fines are united in one shaft, which is built in a. variety of fanciful forms, and sometimes several shafts are carried up separately, and united under one cope. The best English cottages, of late, have been generally constructml of brick, and covered with slate : and the use of these materials has changed the external features very con- siderably, though the general disposition of the parts remains much the same. The roofs of many English cottages are partly gabled and partly hipped; and in general the roof is extended at both ends. so as to oversail the gables: the projection thus afford- Ing protection to the walls in the same manner as the eaves over the front and rear walls; by this means the gable-tops, bemg under cover, are less liable to want repair. . ‘ . The walls of English cottages are generally adorned, either by white- Wab‘llljlg‘ 0r Colouring the walls; or with creepers of vari- ous kinds. The Scottish cottages differ considerably in form and fea- tures from the English, not only in being generally con- structed of stone, which is the material most easily procured in the country, but from their being so wide as to admit of two apartments; and being commonly one story only in height. One of these circumstances is sufficient to occasion a great dissimilarity when compared with the proportion of' the Eng- lish cottage, in making the roof top-heavy, and the general appearance of the building squat; and when both are united this effect will be still more apparent. In the Scottish cottage, the roof has only a very small pro- jection over the walls ; the windows and doors are generally plain; the gables most frequently surmount the roof; the apertures of doors and windows are therefore not so well pro- tected from rain as in the English cottage ; but this want of projection is counterbalanced by the great thickness of the walls, and by the narrowness of the windows, which are made to slide in a vertical position, in grooves on the sides of a surrounding frame. An inducement to make the windows narrow, was the length of the stones, which would not have been easily obtained otherwise. In order to procure the greatest quantity of light, the sashes were glazed with panes of glass comparatively much larger than those used in English cottages, and the sides of the windows were splayed from the glass-frame, so as to form very obtuse angles with the interior surface of the wall. The windows of the Scottish cottage are thus not only very dif— ferent from those of the English, in being without dressings, and of a different proportion, but also in their manner of glazing and shutting them. The chimneys are either carried up in one or both gables, or in a partition-wall, which sepa- rates the two apartments in the length : when carried up in the ends, as the walls are always made sufficiently thick to receive the flues, the walls are not recessed upon the flanks of the stalk of chimneys, in order to save materials. These, con- sisting of crude stone cemented with mortar, being of little value. The chimney—shafts, or the turrets surmounting the roof, are generally plain, finished on the top with a coping of hewn-stone. In many old constructions of Scottish cottages, the chimney is placed in the front-wall, with a large recess all round the fire, which gave great advantage, in admitting more than double the number which the modern construction admits of, and was therefore useful in times when the master and his servants sat in common with each other. In the old construc- tions, the roof was covered with thatch, turf, or heath, as being the most ready materials; but these, as in England, have generally given place to the more durable coverings of slate and tile, for similar reasons. Few appendages are used in Scottish cottages; and in days of old, so little attention was paid to cleanliness, that the cot- tager who was blessed with a cow, admitted the beast to lodge at night in the same house with himself, without any other partition than the back of a bed or press, to separate his apartment from that of the animal. \Ve are, however, happy to find, that among many other improvements in the north, comfort and cleanliness are now as much objects of the wishes of the inhabitants, as in other parts of the United Kingdom ; but even in the present time, from the impression of ancient forms, though the cow-house be separated from the cottage, they are still in one continued formal line, and want that picturesque beauty which an appendage would give, as in the English cottage. The common kind of the present cottages in the north, are, made very wide, either to receive a framed bedstead and press, or to form recesses, by means of a partition, for the reception of the bed and cupboard, on the side of the apart- ment opposed to the window. , WW . __I___ .r,__ __l COT 208 COT The gables on some old cottages in North Britain, are sur- mounted with steps, following the sides of the roof, instead of the plain coping, which formed the thatch-way. Scottish cottages are frequently decorated by training honeysuckles or ivy upon the walls, and a row of house-leek is disposed along the ridge, and not unfrequently upon the sloping sides, in case of a thatched roof. The materials to be used in the erection of cottages will necessarily depend in a great measure on the locality in which they are to be built. Cottages are built of clay, or turf, bricks with wood, crude stone, flint, large pebbles, cab, &c.; those used for the covering are turf, straw, tiles, slate, tarred paper, tessera, Sac. When fir abounds, as in the north of Scot- land, this timber may be used both for boarding and scant- ling; in places yielding stone—that material with flag-stones— for roofing. In some parts of Lancashire, houses are built with a frame- work of wood, filled up with wattled shed—work, and after- wards covered with a composition of clay and wet straw, locally termed “ clot and clay ;” this, when plastered and lime- whited, has a neat appearance. In Devonshire, walls of a similar character are called “cob-walls ;” in France, pisé. Houses in the department of the Isere, Rhone, and Din, the walls of which are formed with this material, have existed for upwards of a century, and effectually resist the inclemency of the weather. Clay may be used with advantage in a similar manner in this countryif properly prepared, and applied with judgment. It should be well tempered, and mixed with a portion of fine gravel, or sand ; this facilitates the drying, and prevents the composition from cracking. In forming the walls, fix tem- porarily in the ground two parallel rows of poles, planked on the inner sides—a space of 20 inches between being left for the thickness of the wall: ram the prepared clay well into this space, raising the planks as the work proceeds, care being taken that the walls are carried up perpendicular. Iron- hooping should be laid diagonally in the substance of the wall, as bond. Over all the openings, stout lintel should be laid; and the door and window-frames fixed as the work pro~ gresses. When the walls have set, remove the planks and poles, which may serve as timber for joists and rafters. After the walls are completed and thoroughly dry, the exterior may be rough-cast, and a coating of plaster laid on the interior. A good method of keeping such walls dry, is to build in, at intervals, small perforated drain—pipes. These should be laid in the substance of the walls, the bottom resting upon a framed opening defended by a cast-iron air-brick; the top having asmall orifice under the eaves leading outwards. The current of air passing through these pipes will carry off all moisture exuding from the walls. The improvement of the dwellings of the industrial classes is now occupying, in a con- siderable degree, "the attention of philanthropists. Several societies have been formed expressly to carry out so bene— volent an object, and their attention has been especially directed to the erection of a better description of cottage for the agricultural labourer. The young architect, in the outset of his professional career, may possibly be called upon to furnish designs for such buildings, and with a View to assist him, we have subjoined the following specification principally taken from a work we have before quoted, Mr. Dean’s “ Essay on Farm Buildings.” Mr. Dean is a practical architect, and is thoroughly master of the subject on which he has written; and his “ Essays” may be consulted with advantage by those who are about to erect agricultural buildings. The specification is for a pair of labourer’s cottages, semi- detached, but may be altered as to materials, &c., according to locality and circumstances. The general conditions are as usual, and it is unnecessai y to occupy space by transcribing them. “ SPECIFICATION. “Excavator. Dig out the earth for the foundations to the several walls, drains, and cesspools, as shown in the draw- ings, or herein described. The cesspools to privies to be sunk outside the building. Fill up the trenches to the depth and width shown in drawings with concrete com- posed of one part of ground-stone lime to six of gravel, broken stone, or clean ballast. Fill in and well ram the ground-work to the trenches and, walls, so as to prevent the rain soaking down to, or standing against, the walls and foundations.” “Bricklayer. The footings to the walls to be formed with sound, hard, well-burnt stock bricks or burs from the brick- field, filled in solid, and well flushed with mortar. On the footings spread a layer of gas-tar and sand, and over this a course of slate is to be laid, should there be the slightest chance of dampness arising from the foundation. The cesspools to be built in 4%; inch brickwork, steened and domed over, having stone man-holes let in. The drains from the sinks to be 3inches diameter, of glazed earthenware, with syphon traps. The cesspools and drains to be com- pleted previous to the walls being erected. Carry up the walls and chimneys in old English bond, leaving a space of about 2 inches in the centre of the thickness of the walls, and insert air-bricks where required. Carry up from the ceiling of each room, on corbel-stones, a ventila- ting fiue 6 by 9 inches. All the flues to be well pargetted and cored out at the completion of the works. The chim- ney flues not to be gathered over sharply, and twisted as much as possible. “The external walls are to be faced with best red stock- bricks, white Suffolk bricks being used for plinths, quoins, and dressings to windows and chimney-shafts ; all of which are to be carried up in the manner shown in drawings. No wall to be, at any time during the progress of the works, more than 4 feet higher than any other wall. No indents or toothings will be allowed, and no four course of bricks to exceed 11-}!- inches in height. “ All the brickwork must be worked in sound regular bond, with a close joint neatly struck; every course well flushed in with mortar, and the whole made perfectly level, straight, ' and perpendicular. The chimney openings to have chimm ney bars to turn up at each end. The quarter partitions to be brick-nogged with bricks, laid flat, and well bonded. “ All openings to have arches turned over them, with proper skew backs, and left neatly pointed. The chimney and jambs are to be chamfered, to have plinths, and two projecting bricks, cut, as shown in drawing, to support. mantel shelf. The fire-places are to be lined with fire- bricks, and an oven built at back. The bottom, sides, and top of oven to be of fire tiles, with fines for carrying the fire under and up the sides of the oven. The smoke-flue to be provided with dampers, and a door provided with damper leading to the oven, which is to be fixed in chim- ney jamb. Fire-grates are to be formed by letting round iron bars into the brickwork of fire-places. “The privies to be provided with Boulton and “'att’s closet-pans, and glazed earthenware pipes leading to cess- pools. The boilers to be set with rounded bricks, and the inside work, where exposed to the fire, lined with fire- brick. The mortar to be composed of one part of good lime to three of sharp sand, or tine-sifted gravel ; the whole to be well tempered. Properly bed all lintels, plates, frames, and sills; point round all frames and sills; stop all putlock holes, and leave the works in a complete state. COT 209 COU “ Mason and Pam'our. Provide and fix 4 inch tooled York stone steps to porches and entrance-doors. Provide and fix 3 inch York stones over cesspools; 4 inch stones for corbels, to carry brickwork to air-fines; a circular space about 4 inches diameter, to be cut in these stones, and a ventilating valve inserted in each. Inch hare-hill hearths, and back-hearths to all chimney openings, with stone-kirbs round to act .as fenders. The kitchens to have ash-pits with ironmovable gratings over. Sink-stones to wash- houses 2 feet 6 inches by 1 foot 9 inches, out of 7 inch stone, properly dished (or wood lined with zinc may be used), each sink to be provided with a bell-trap. Pave the porches and pantries with 10 inch tiles, well bedded, the ground being previously well rammed. The rest of the ground-floors to be made with concrete. Two-inch York- stone treads, and risers to stairs, properly cramped, and supported by dwarf brick walls. The floors of privies to be paved with 1% inch York stone.” “ Carpenter. The fir timber to be free from sap, large knots, and shakes. The oak to be English, die-square. The framing to be executed in the most approved manner, and to be of the following scantlings :—Wall-plates 4% by 2%; lintels over all openings, 4 by 4 ; chamber-joists 7 by 1%, 12 inches apart, with bays of herring-bone struts 2 feet apart, thin iron hooping being nailed to the under side of the joists, and the space between the joists to be filled up solid with broken stone or clay and mortar. Trimming- joists 7 by 3; struts 4 by 2 ; partitions to have heads and sills 4 by 3; uprights and braces 4 by 2. Door-frames chamfered on the edges, 4 by 3 ; rafters 4% by 212.; purlins 4 by 3; collars to every sixth pair of rafters, 6 by 2; ridge, 7 by 1%; 2- yellow deal battens to carry slates. Provide and fix 2 inch cut and splayed barge-boards, with pinnacles, &c., as shown on drawings.” “ Joiner. External doors to be square-framed and battened, hung with 4 inch butts, with 7 inch drawback locks, 6 inch round bolts, (3 to each door), and Norfolk thumb- latches; % ledged internal doors, and % ledged privy, pantry, and coal-closet doors, with bolts and latches. The doors to have inch jamb-linings and stops.” “ I’Vindows. Solid deal frames, 4% by 3, with oak-sunk sills; 1% ovolo sashes, suspended by pivots ; those in the pantries to be filled with perforated zinc.” “ Fittings. Inch deal seats and risers to privies, on fir carriages. The seats to have flaps hung with 2—;- inch butt hinges; 1 shelf to be fixed round each cupboard closet in bed-rooms, and 3 in those in kitchens: 1% inch dressertops, and 3 shelves to pantries. Angle staves to be provided and fixed to all angles; 5} clamped shutters t0 dwelling-rooms, hung as flaps, with deal framed brackets, to be turned on pivots, the flaps forming tables. Fir mantel-shelves, 6 by 2 inches, over each opening.” “ Plusterer. The walls of the dwelling-rooms and bed-rooms to be rendered and set. The ceilings and rafters lathed with iron lumping; the space between the joists and rafters filled up solid with broken stone, or earth and lime. The ceilings to be plastered, set, and whited. The chamber- fioors to be laid with floor plaster, and trowelled to a smooth surface. The walls of the sculleries, pantries, coal-closets, and privies, to be twice lime-whited; cement skirting, 6 inches high, to be run round all the kitchens and bed-rooms.” “ Slater. Cover the roofs with countess slates, laid hollow to a proper gauge. The ridges to be of slate, bedded in cement.” ‘ Ironmonger. Fix No. 8 1%; round iron bars to all the fire- places, to form stove. Fix iron pans in sculleries. Fix 3 n where directed an iron pump, with double handle; fix No. 4, stacks of 4 inch descending pipes, with cistern heads and shoes, the bottom length to be of cast iron. Provide and fix No. 12 cast iron air bricks, to be fixed where directed; fix N o. 8 Arnott’s valves where directed. Fix perforated zinc-plates to doors of rooms not having chimney openings in them. Provide No. 10 chimney bars, to turn up at each end.” “Plumber. Inch lead waste pipes from sinks to drains curved round so as to form stink—traps, and provided with bell-traps. Lead fiashings to chimneys, 5 pound to the foot super. Provide and fix 15 feet of 1% suction pipe from well to pump.” “ Glazier and Painter. Glaze the several sashes with 3rd Newcastle crown glass. Stain the whole of the wood- work of the exterior with a composition of gas-tar and Roman ochre, laid on when boiling hot. The interior to be stained with ‘ Stephen’s stain,’ and afterwards varnished.” The above Specification is so carefully drawn, that we have thought it expedient to extract it entire, as a useful guide to the young architect. It may, of course, be altered according to circumstances, and it may not always be desirable to incur so large an outlay. The estimate for a pair of cottages similar to those specified, would range from £200 to £300, according to the amount of ornament bestowed on them. COUCH, in general, the lay of any mucilaginous substance on any material, as wood or plaster, in order to protect the surface of that material from the weather, and thereby render it more durable, or less vulnerable to the corroding influence of the atmosphere. COUCH, in painting, denotes a lay or impression of colour, whether in oil or water, with which the painter covers his canvass, wall, wainscot, or other material to be painted. Paintings are first covered with a couch of varnish. A canvass, to be painted, must first have two couches of size before the colours are laid: two or three couches of whitelead are laid on wood before the couch of gold is applied. COULISSE, French; the pieces of wood which hold the floodgates in a sluice; also any timbers having grooves in them. COUNTER, COMPTER, (from the Latin, computare) the name of two prisons in London, for the use of the city, to confine debtors, breakers of the peace, &c. COUNTER, a term formerly used among engineers, to denote the superintendent of a canal, or other great work, under the resident-engineer. His business was to keep an account of the time of the men employed, not only in different depart— ments of the work, but in different soils also, as a check on the charge of the men; and thereby to enable the resident- engineer, who received his accounts, to ascertain the rate of any quantity of common measure in similar operations. The counter seems to have been the same as what we now call clerk of the works. COUNTER DRAIN, a ditch or channel parallel to a canal or embanked water-course, for collecting the soakage-water by the side of the canal or embankment, to a culvert or arched drain under the canal, by which it is conveyed away to lower ground. COUNTER DRAWING, the copying of a design by means of a fine linen cloth, oiled paper, &c., laid on the drawing; the strokes of the drawing appearing through the transparent cover, being traced and marked with the pencil. Sometimes drawings are Copied on glass, or with frames or nets divided_into squares. The pentagraph is not only COU 210 COU useful in making fac-similes, but for reducing or enlarging drawings in any proportion; but of all instruments employed in copying rectilinear or regular curved-lined drawings, or mixed of the two, the proportional compass is the most accu- rate, the most expeditious and convenient instrument ever yet invented ; and if the parts of the drawing stand at different oblique angles, a pair of triangular compasses will be neces- sary to assist in taking the angles. Although the penta- graph will of itself enlarge or reduce, or make equal, and find the quantity of the angle, it requires much room, and for drawing straight lines and curves, the tracer to be drawn along a straight-edge. In retrograding or retracing a line in the same path, towards the contrary extremity to which it was drawn, the representative line is liable to be doubled. The pentagraph is therefore a cumbersome and inaccurate instrument for such purposes, and should only be used in reducing for rough or sketch-maps, &c., where great accu- racy may not be absolutely necessary. COUNTERFORTS, projections of masonry or brickwork from a wall, built at regular intervals, in order to strengthen the wall, or to resist a pressure of earth behind it, the counterforts increasing the breadth of its base, and thereby aiding the resistance against the power which tends to overturn it. COUNTER GAUGE, in carpentry, a method used to measure the joints by transferring, e.g. the breadth of a mortise to the place of the other timber where the tenon is to be made, in order to adapt them to each other. COUNTER LATII, in tiling, a lath placed between every two gauged ones, so as to divide every interval, as near as can be judged by the eye, into two equal intervals. COUNTER LIGHT, a window opposite to anything which makes it appear to a disadvantage: a single counter light is sufficient to take away all the beauty of a fine painting. COUNTER PARTS, of a building, are the similar and equal parts of the design on each side of the middle of the edifice ; they are absolutely necessary to the character of a Grecian or Roman edifice, but in Gothic buildings a duplicaturc of parts is not requisite. COUNTRY—HOUSE, as its name implies, one erected in the country. In the erection of these, under a liberal em- ployer, the architect has the greatest scope for his fancy, ingenuity, and skill in contrivance. He is not confined to Space, as in town-houses, and therefore has it in his power to extend in any direction consistent with the nature of his design. For farther information, see VILLA, and HOUSE. COUPLE-CLOSE, a pair of Spars of a roof. COUPLED COLUMNS, those which are disposed in pairs, making a. narrow and wide interval succeed each other alternately. Of this disposition of columns, ancient architecture affords no instance ; for, although in the temple of Bacchus at Rome, the columns are coupled, or stand in pairs, still the intervals between are all equal. The only use of coupled columns is in low colonnades, or porticos of edi- fices which have large piers, where the employment of single columns would have a meagre appearance. The ancient dis- position of columns in the same range was always beautiful, on account of the proportion of the intereolumn being always narrow. In the application of columns to modern architec- ture, the intercolumniations must be regulated by the aper- tures of our domestic edifices, but the ancients were under no such restrictions. The perspective succession or gradation of coupled columns, is not so harmonious as when columns stand single. If a design be well suggested, there will be little occa- sion for their employment. See COLUMN, COLONNADE. COUPLES, rafters framed together in pairs, with a tie, which is generally fixed above the feet of the rafters. This mode of framing is used in the ordinary houses of Scotland, without either principals or purlins. The rafters called Spars, are most commonly notched, and the tie which couples them is also notched with a dovetail. In a building about 25 feet wide, the spars may be 7 inches at bottom, 6 inches at top, 2% inches thick, and about 2 feet 2 inches apart, for boarding covered with slate. COUPLES, Main, or MAIN COUPLES, the same as trusses for roofs, which support the roof in different bays : this term is also used in the north. COURSE, a continued level range of stones or bricks in a wall, as far as the solid part runs. It sometimes happens, that a course of masonry is only laid to a certain length, and the other part or complement divided into two courses, in the same height as the single course ; but this ought not to be admissible, and should be specified against, in countries where the contractors are ready to take every advantage in order to save the expense of larger stones, or to accommo- date themselves with those already at hand. COURSE OF THE FACE OF AN ARCH, the arch-stones, whose joints radiate to the centre. In stone work, the arch-stones are called voussoirs or ring-stones, in the face of the arch, and each radiating part consists of one stone only. In brick- work, each part, of one thickness of brick, sometimes consists of several bricks in length : but whether one or several bricks be contained between two adjacent radiating joints, the quantity thus disposed is called a course. COURSE, in slating and tiling, a row of slates or tiles, dis- posed with their lower ends in the same level, which line . may either be a straight line or a circle. I COURSE OF PLINTHS, the continuity of a plinth in the face ; of a wall, to mark the separation of the stones. The course of plinths is otherwise called string course, which is most frequently executed with stone, but sometimes also with plaster, to save expense. COURSE, Barge. See BARGE-COURSE. COURSE, Blocking. See BLOCKING-COURSE. COURSE, Bonding, that which is farther inserted into the wall than either of the adjacent courses, for the purpose of binding the wall together. upon each other, one from the face, and the other from the‘ back, make excellent work : these courses should be placed: so as to leave regular intervals for stretching-courses between them, on each side of the wall. COURSE, heading, the same as BONDING-COURSE. the last article. COURSE, Springing. See SPRINGING-COURSE. COURSE, Stretching. See STRETCHING-COURSE. COURSED MASONRY, that in which the stones run in courses. COURSING JOINT, the joint between two courses. COURT, an hypzethral, or uncovered area, either in front of a house, or surrounded entirely by the walls. As it is. impossible on the same floor to light apartments surrounded with other apartments on all sides, and these again com- pletely covered with other apartments, it will be impossible to execute an extensive building, which may have more than three rooms in length and breadth, and more than one story in height, without the intermediate rooms being entirely dark, or receiving their light by secondary windows from the exterior rooms ; hence the necessity of introducing as many intermediate courts as the extension of the building, with regard to the number of rooms, both in length and breadth, may require, will be obvious. Mr. Barry has made advan- tageous use of a court of this description in the Travellers Club-house. See CLUB-HOUSE. It is true, that a building can be executed without courts, and that it may contain any number of rooms; but it must have only two rooms it See' Two bonding-courses lapping COV 211 CRA breadth, or otherwise the plan cannot be a simple rectan- gular figure. Courts may be ornamented In the most elegant manner, and being more confined than the external parts of the edifice, the ornaments may be of a more delicate nature ; and if any parts of the burldlng can admit of arcades, or of two or more orders, one above the other, a court is certainly the most susceptible of such-decoration. We are informed by Vitruvius (book vi. chap. 111.) that the anoients had five kinds of courts, called cavedii, distinguished by the denominations of TuScan, Corinthian, tetrastyle, disPZuvi- noted, and testudinated. For the description of each, see CAVEDIUM. COUSINET, COUSSINET, a CUSHION, a stone placed upon the impost of a pier or pedroit, for receiving the first stone of an arch. If the arch be the segment of a circle, the cousinet may be an isosceles triangle, with the base upon the impost, and the two sloping sides radiating to the centre ; or if the arch be a semicircle, the cousinet will be the first arch-stone itself, or otherwise the arch must spring above the impost. COUSINET is also employed to denote that part in the front of the Ionic capital, contained between the abacus and the echinus, or quarter—round. It is this which forms the hori- zontal fillet, or band, in common volutes, or the band and festoons in the Grecian Ionic, from which the volutes on each side of the column depend. COVE, any kind of concave moulding, or the concavity of a vault. Covr‘, BRACKETING,is the bracketing of any cove, but more gem-rally understood to be that of the quadrantal cove, which is sometimes employed between the flat ceiling and the wall. See BnAcKETING. COVED AND FLAT CEILING, one whose section is a portion or quadrant of a circle, springing from the walls of the room, and rising to a flat surface in the middle. Coved and flat ceilings seem to be altogether of modern invention‘ and admit of some beauty in the decoration. It is a sort of compromise between the flat or horizontal ceiling, and the various forms of arched ones practised by the ancients. It does not require so much height as the latter mode, and has therefore been of considerable use in the finishing of modern apartments; but as its form is a com- pound, it wants both elegance of figure, and grandeur of design ; nor does it admit of that beauty in decoration, that entire arched ceilings are susceptible of. The ancient forms were of three kinds, the cylindric arch, the dome, and the groin. We find no arches of any description in Grecian antiquity; but in the Roman edifices all the three varieties are to be found; and among other ceilings in the ruins of Balhcc, the quadrantal coved ceiling, with the flat in the middle, may be distinctly traced, at least in length, if not in breadth. See CEILING. COVER, in slating, the part of the slate that is bid or covered; the other part exposed to view, is termed the margin of the slate. COVER WAY, in roofing, the recess or internal angle left in brickwork or masonry to receive the covering. Covnmrn WAY, a passage covered over. The term Covered Way, or Covmt'r “ray, is also used in fortification to denote the piece of ground level with the field on the edge of the ditch, three or four fathoms broad, extending quite round the works towards the country. It has a parapet raised on a level, together with its banquettes and glacis. It is some- times called the counterscarp. loVERING. See ROOFING. COVIN G, the exterior projecture over the ground-plan of buildings, made in an arched form with lath and plaster: it is not now in use. In former times, when the streets were l very narrow, the upper rooms were made in part to jut over the wall, in order to give room. COVINGS or A FIREPLACE, the inclined vertical parts on the sides, for contracting the opening, and throwing out the heat. COW-HOUSE, a building where cows or other cattle are kept, in order to protect them from the severities of the weather. See CATTLE SHED. Cow-YARD, the enclosure in which cows are kept, to shelter them from the weather. CRAB, an instrument used in masonry for raising large stones. CRACKING OF BUILDINGS, those fissures occasioned by improper management in the foundation, or in carrying up the work. Cracks, so frequent in modern buildings, will for the most part be found to arise from unequal settlement, caused by insuflicient foundations, from inadequate coverings to apertures, such as what are called French arches, or from the employment of improper or inferior materials, soft bricks, unseasoned timber and such like. CRACKING, in plastering, the fissures occasioned by an undue tempering or mixing of the materials, or by an un- seasonable application. CRADLE, or COFFER, in engineering, a large wooden trunk, open at top, with movable ends, large enough to receive a barge or vessel when floating on a canal, for the purpose of raising or lowering it to a higher or lower pond of the canal, by cranes or other means, without the use of a pond lock. The term is also applied to the segment of a hollow cylinder formed of ribs and lattice, similar to centering, used by bricklayers and masons, for turning culverts and arches ; the inside is smooth, and the exterior rough, for supporting and retaining the shape of the inverted arch of the lower half of the culvert in soft ground, particularly in quicksands and peaty places. A very slight cradle of this kind, will some- times prevent thc distortion or ultimate fall of a barrel cul- vert. This precaution should never be omitted in laying culverts under canals or roads, in soft grounds, as the falling of the culvert may prove of the greatest inconvenience. CRADLE-VAULT, a word improperly applied to cylindric vaults. CRADLING, the mass of timber-work disposed in arched or vaulted ceilings, for sustaining the lath and plaster. For the application of the various species of cradling, see the words CYLINDRIC-VAULT, COVE-BRACKET- ING, DOME, GROIN, and NICHE. The compound term, dish- ing-out, is sometimes used by workmen, instead of cradling. CRADLING is also used for the rough timber-work for sus- taining an entablature for a shop-front. CRAMP, an iron instrument, about 4 feet long, with a screw at one end, and a movable shoulder or arm at the other, by which mortise and tenon work is forced together. CRAMPERN, or CRAMP-IRON, an iron bent at each extremity, towards the same side of the middle part, used to fasten stones together in a building. When stones are required to be bound together with greater strength than that of mortar, a chain, or bar of iron, with different projecting nobs, is inserted in a cavity cut in the upper side of the course of stones across the joints, instead of single cramps across thejoints of each two stones. Cramps are generally employed in works which require great solidity, as in the piers and abutments of bridges, and the voussoirs of large arches. They are also employed in uniting the stones of copings and cornices, and generally any external work upon the upper surface, or between the beds of the stone. External work liable to the injuries of the weather, CRE 212 CRO ought to be cramped. The most secure manner of fixing cramps is to let them into the stones their whole thickness, and run them with lead ; but in slight works, it is sufficient to bed them in plaster, as is the practice in chimney—pieces. Iron is used in modern buildings, but the Romans, who were accustomed to employ cramps in the greatest profusion, used bronze, a material much more durable than iron, as it is not so liable to rust. Bronze or copper is preferable to iron, not only on account of its own durability, but likewise because it is not so liable to destroy the masonry which it connects: the rust which accumulates round iron cramps, tends to rupture the masonry to a much greater extent, than the cramps to keep it together; besides this, if placed near the surface, iron is sure to discolour it. In general work, if the masonry be well put together, there will be but little need of cramps, especially if the separate masses be of moderate size; nor even if they be of small dimensions, is there any absolute necessity for their employment, as we may gather from the works of the ancients. Mr. Murphy instances the spires of Salisbury cathedral, and of the church of Batalha, Portugal, which though not more than seven inches in thickness, are for the most part connected Without the aid of iron cramps. These observations apply with greater emphasis to wrought than to cast iron. Sir Christopher Wren used a large cramp or chain, below the Springing of the dome of St. Paul’s, in order to distribute the pressure equally. This architect, however, seems to have been fully aware of the caution requisite in the use of iron in stone buildings, for he observes in his Parentalia, “It has been observed in removing cramps from masonry at least four hundred years old, which were so bedded in mortar that all air was perfectly excluded, that the iron appeared as fresh as when it came from the forge. In cramping stones therefore, no iron should lie within nine inches of air, if possible; for air is the menstruum that consumes all materials. When for want of large stones the use~of iron is requisite, care should be taken to exclude the air from it.” Copper, bronze, or gun-metal form excellent and incorro- sive substitutes for iron in cramping masonry; they are more expensive at the first outlay, but will be found in reality more economical; the first material may be mixed with a small portion of tin, which imparts to it greater durability. The above objections to iron, do not hold good as regards brickwork ; the only inconvenience in this case arises from the stain with which the rust is apt to disfigure the work, if the iron be placed too near the facing. CRAMPOONS, pieces of iron hooked at the ends, for drawing or pulling up timber, stones, &c. CRANE-HOUSE, a house to shelter a crane : it should be constructed of brick. CREALS, a sort of jetties or weir hedges, sometimes erected on the shores of rivers or the sea, for checking the force of the tide in particular places, and occasioning a deposit of filth or mud in place of the constant wear and 3 encroachment of the water upon the land. Smeatou’s Reports, i. p. 4. CREASING, Tile. See TILE-CREASING. CREDENCE, a shelf or small table by the side of a Christian altar, on which the sacred elements are placed 1‘ previous to consecration. Sometimes the credence is simply ‘ a shelf in the niche above the piscina, but at other times a separate table. At the church of S. Cross is a beautiful specimen. rectangular in plan, having its front decorated with panels, and the stone slab supported above a cornice enriched with flowers, it is fixed in a corner so that only two sides are exposed; at Fyfield, Berks, is another specimen, semi-octagonal in plan, supported on a stem of similar plan, but of smaller dimensions; the sides are panelled all the way up. CRENELLE, the embrasure of a battlement, sometimes applied to the whole battlement, as also to the loopholes and other small apertures in the wall of a fortress, through which missiles were discharged. CRESCENT, an ornament used by the Mahometans in their mosques. CRESCENT, a series of buildings, disposed in the arc of a circle, which is either the half circumference, or the arc of a segment less than the half. CRESILLA, a Grecian sculptrix, who chiselled seven statues of the Amazons, for the temple of Diana at Ephesus, and was accounted the third in merit among the numerous competitors who vied in decorating that famed edifice—being only inferior to Polycletus and Phidias. CRESSET, an open metal frame or cage, used to contain a light or beacon-fire. CREST, the ornamental finishing at the summit of a structure, consisting of battlements, open tracery, finials and crockets, or even plain coping. CREST-TILES, tiles placed along the ridge of a roof, over- lapping on both sides like a saddle; they are sometimes plain, and at others ornamented, moulded in the form of battlements, Tudor-flowers, crockets, leaves, 8w. CREUX (from the French) a term .A sculpture, implying a hollow, out of which anything has been scooped; and hence it has been used to denote that kind of sculpture and graving, where the lines and figures are cut and formed within the surface carved or engraved upon. There is no word in the English language that answers to this idea, and hence the necessity of adopting the term. It is opposed to the word relic-v0, where the lines and figures are prominent, and project without the surface. CRIB, the rack or manger of a stable, or the stall or cabin of an ox. It is also used for any small habitation, as a cottage. CROCKET (from the French, croc, a hook, or fork) an ornament used to decorate or finish the raking arrises of parts of Gothic buildings, such as spires, pinnacles, gables, canopies, &c.; consisting of projecting leaves, flowers, or knops of foliage, and terminating usually in a larger ornament or bunch of flowers or leaves at the summit, called a finial. Sometimes they are used in vertical lines, as at f the cathedral, Lincoln, where they run up the mullions of the tower window. Crockets of the Early English style are : often simple trefoil leaves, and sometimes bunches of such leaves, placed at considerable intervals, and curled backwards, in a similar manner to the head of a bishop’s pastoral staff: early specimens are to be seen at Salisbury and \Vells cathedrals, but the simplest example exists at Lincoln, which exhibits a simple curve, curling round downwards. In the Decorated period, the leaves were usually continued for some distance attached to the moulding, and curled upwards towards the extremity, sometimes the extreme point was turned up; a similar form prevailed in the Perpendicular style, but they are sometimes merely flat square leaves united to the moulding by the stalk and one edge. In some cases we meet with animals in the place of crockets, as on the flying buttresses of Henry VII.’s chapel, “'estminster, and the gables of the hall at Hampton Court; on the tomb of Archbishop Kempe, Canterbury, we find swans, and on that of Bishop Biugham, Salisbury, angels are used for the same purpose. an“..- .flm...” . .. CRO CROISSANTE CRODLhaving a crescent or halfmoon, fixed to each end thereof. CROKET. See CROCKET. CRONACA, SIMONE, a Florentine architect, born in the year 1454. This artist travelled to Rome, and other cities of Italy, in order to take accurate admeasurements of the ancient edifices. When he returned to Florence, he acquired considerable reputation, and was employed to finish the Palazzo Str0zzi, which was begun by Benedetto da Maiano. Among his other works in this city, are the sacristy of the church of Santo Spirito, and the church of S. Fran- cesco del Ofl'ervanza, at S. Miniato, in the suburbs of the city. He died in the year 1509, and was buried in the church of S. Ambrozio Vasari. CROOKED LINE, one that cannot have a tangent on any point to the two adjacent parts of the line on each side of the point of contact. CROSETTES, in the decorations of apertures, the trusses or consoles on the flanks of the architrave, under the cor- nice; they are otherwise named ears, elbows, ancones, or prot/zyrides. CROSIER, a bishop’s staff ; it was originally a plain rod with a cross-head at its summit, and subsequently with a curved top similar to a shepherd’s crook. Crosiers were sometimes of a very costly description, being formed of gold or silver, engraved, enamelled, and inlaid with jewels and precious stones. A good specimen is that of William of Wykeham, preserved at New College, Oxford. The crosier of an archbishop is surmounted by a cross, and that of a primate or patriarch by a double cross. CROSS, a figure consisting of four branches, at right angles to each other ; or a geometrical figure, consisting of five rectangles, each side of one angle being common with one side of each of the other four. The cross, as the most prevalent symbol of the Christian religion, was often introduced into their architecture. Their churches, more especially the larger ones, were frequently built on a cross plan, and were decorated internally and exter- nally with this symbol ; crosses of -a highly decorative cha- racter and beautiful design were often affixed to the apex of gables, and in the interior were depicted on the walls ; a large ornamental cross, usually of wood, called the rood, was set above the screen, which separates nave and chancel, and a small one of metal, enriched with jewels, &c., on the altar. There are two kinds of cruciform plans used in ecclesiastical buildings; one, in which all the five rectangles are equal; or, in which each of the four wings is equal to the middle part formed by the intersection, is called a Greek cross. The other, in which only two opposite wings are equal, and in which the other two are unequal, and the three rectangles in the direction of the unequal parts of greater length than the three parts in the direction of the equal parts, is called a Latin cross, the middle part in each direction being common. Stone crosses were erected in front of the entrance to the church, and these consisted of a tall shaft raised on one or more steps, and surmounted by an ornamental cross ; the shaft was usually of a simple character, but sometimes enriched with sculpture. Besides these, there were boundary, memo- rial, sepulchral, preaching, and market crosses. Boundary-crosses were of a very simple character, being usually merely upright stones ornamented with some simple sculpture ; memorial crosses were of a like plain description, there is a specimen at Blorecheath, Stafi'ordshire. The crosses erected by king Edward I. at the places where the corpse of 1118 queen Eleanor was rested during its progress from Lin- colnshire to Westminster for interment, would probably come 3 I 213 CRO under this head, but if so, they are of avery different descrip- tion to the majority. Out of fifteen of these originally existing, only three now remain, at Geddington, Northampton, and Waltham ; of those now destroyed, five are known to have been erected at the following places, Lincoln, Stamford, Dunstable, St. Alban’s, and Charing. They were very ela- borate structures, consisting of several stories of multangular plans, each story being somewhat smaller than the one below it, so as to give the erection a pyramidal form, having the apex surmounted by a cross, and the whole enriched with sculpture, statuary, 8m; that at Waltham consists of three stories, and is hexagonal in plan) the lower story is richly panelled, the second canopied, containing statues of the queen, the third panelled, similarly to the lowest, and the whole finished at the top with a decorative cross. The preaching-cross was a covered pulpit usually erected in the vicinity of a church, the most noted is that of St. Paul,Lon- don, which was an erection of wood raised on steps, and covered with a canopy; it was octagonal in plan, closed in on all sides, with the exception of the entrance and the aperture, through which the preacher addressed the people. Specimens of this class exist at Hereford, Iron Acton, Gloucestershire, and Holbeach, Lincolnshire. Market-crosses seem to have been originally of a similar form to those of Queen Eleanor, but having open arches at the sides in the lowest story. In the later and more general form, the plan of the basement was considerably extended, so as to present a space of considerable size covered with a vaulted roof, and having a central pillar or pier to support the superstructure, which at the same time was much reduced in height; the shape of the original plan was preserved, the only difference being in its size; thus the market-cross at Leighton Buzzard, Bedfordshire, is pentagonal, that at Salis- bury, hexagonal, and that at Malmsbury, which is a beautiful specimen, hexagonal. Other market-crosses exist at \Vin- chester, Cheddar, and Chichester, and there were two excel- lent ones at Coventry and Glastonbury. They served to shelter the people attending market from heat and rain. The cross at Chichester is the most beautiful specimen of the kind. It is supported on eight buttresses and a central column, from which issue a number of ribs dividing the vaulted roof: between the buttresses are eight arches moulded, and surmounted by an ogee canopy, which is crocketed, the finial supporting a pinnacle; the spandrells of the canopy are richly panelled, as are also the walls above, the whole being finished by a panelled parapet. The buttresses termi- nate in crocketed pinnacles. The structure is covered exter- nally by an ogee cupola, crocketed ribs springing from each of the buttresses at the angles, and the whole is surmounted by a small octangular turret pierced with eight arches, and otherwise elaborately ornamented. Crosses of a simple character were originally erected at the entrance of towns and villages, at the intersection of cross- roads and sides of highways, to arrest the attention of tra- vellers, and excite their devotion. CROSS-HANDED, in hand-railing, is when a veneer is laid - upon the upper side of the rail, with the grain of the wood crossing that of the rail, and the extension of the veneer in the direction of its fibres less than the breadth of the rail. CROSS GARNETS, hinges, with a long strap, which is fixed to the closure of the aperture, and with a cross part on the other side of the knuckle, which is fastened to the joint. CROSS-GRAINED STUFF, wood with its fibres in contrary directions to the surface, and which therefore cannot be made perfectly smooth by the operation of the plane, without either turning the plane or the stuff. This most frequently arises from a twisted disposition of the fibres in the act of growing. CRO 214 CRO CRoss MULTIPLICATION, a term used by artificers for the peculiar arithmetical process employed in the mensuration of their work. Cross multiplication and duodecimals are gene- rally confounded together as being synonymous expressions; but the order of performing their operations is materially different. In cross multiplication, the parts are actually mul- tiplied crosswise, as well as in direct order, and the terms of each factor are confined to feet and inches; whereas, in duodecimals, the terms of each of the factors are not confined to number, and the parts are multiplied in the order of com- mon multiplication. The rule in cross multiplication is as follows: Write the given numbers, as in addition. The sum of the products of the alternate parts, and the product of each pair of parts in each denomination, will be the product of the whole. It must be remembered, that Feet multiplied by feet give feet. Feet multiplied by inches give inches. Feet multiplied by seconds give seconds. Inches multiplied by inches give seconds. The method of performing the operation will be seen in the following examples—VVhat is the area of a board, the length of which is 25 feet 11 inches, and the breadth 23 feet 7 inches ? ft. in. 25 11 23 7 0 6 5 : 7 X 11 14 7 : 7 X 25 21 1 : 23 X 11 575 : 23 X 25 611 2 5 Required the product of 58 feet 9 inches, by 36 feet 6 inches. ft. in. 58 9 36 6 0 4 6 = 6 X 9 29 = 58 X 6 27 : 36 X 9 2088 : 58 X 36 2144 4 6 The following method is another form of cross multipli- cation, discovered by Mr. P. Nicholson, in which side oper- ations are unnecessary, and consequently, as a part of the work, must either be wrought on the margin, as above, or in the mind: the work, by the method proposed, will be shorter than the above, or less liable to mistake, if the side operations be not used. The rule is thus: Multiply the inches together, and the product is seconds; divide the product by 12, if so divisible, the quotient is inches, and the remainder seconds; then, placing the feet and the inches in their respective order, one after the other, set the products of the two cross parts in inches, under the inches of the former quotient; add the three numbers toge- ther, and divide their sum by 12, the quotient will be feet, and the remainder inches ; multiply the feet of the multiplier by the feet of the multiplicand, and place the products under the feet of the last division, then the sum of these products Will be the number of feet in the whole contents, and the remainders of inches and seconds, if any, the parts Which J are required to complete the whole product. We shall take the two former examples, and the one method will be the best proof of the truth of the other. First Example. Second Example. ft. in. ft. in. 25 11 58 9 23 7 36 6 6 5 4 6 175 348 253 324 12)434 12)676 36 2 56 4 75 348 50 174 611 2 5 2144 4 6 By this means, the whole is performed in one operation, without laying any stress on the memory, and will therefore be particularly useful to those who have not sufficient prac- tice to fix the products and quotients of small numbers on their memory: and it is the shortest method of the two, if the number of marginal figures be counted into the work of the former method of operation. In duodecimals the process is as follows: beginning with the last term, or the farthest from the left-hand in the multi- plier, multiply by it each term of the multiplicand from the right-hand to the left, carrying one for every twelve to each successive product, but the denominations must not be car- ried farther than the place of feet; again, multiply all the terms of the multiplicand, by each successive term towards the left of the multiplier; then place the products one under the other, with the first term of every product on the left, under the second term of the product of the horizontal row immediately above; then add the similar denominations of each product : the sum will be the whole product. Observe, in the first place, to put the highest denomination, viz., the feet, under the first term on the left of the multiplicand, and the terms of the product under each respective term of the multiplicand will be of the same denomination with each other. Example—Suppose, again, it were required to multiply 25 feet 11 inches by 23 feet 7 inches, by duodecimals. 11x7: 77 2511 65 237 25x7=175 15 15 181 5961 __—. 151:1.91 61125 ‘2 11x23:253 211::9—5-3‘ 25x 3:75 1‘ 25x2o=5oo 596 Cross multiplication is much better adapted to finding the superficial contents of a piece of work, where there are only CRO 215 CRY two terms in each factor, and where the feet of the multi- plier run to a high number, as well as the feet of the mul- tiplicand, and more particularly the second mode of cross multiplication ; as in duodecimals, the calculator must either have a very good memory to require no marginal work, or otherwise the quantity of marginal operations will exceed that of the principal work. Artificers and measurers never take any account of denominations less than inches, except in glazier’s work, and hence cross multiplication is almost the only useful method of finding the contents ; but where more denominations are concerned, recourse must be had to duode- cimals or decimals, as when the terms of each factor are more than two, cross multiplication cannot be applied. When the terms of the multiplier are under 10, the operation will be exceedingly easy, as the following example will show. Example.—Multiply8 feet, 3 inches, 5 seconds, and 7 thirds, by 5 feet, 4 inches, 9 seconds, and 6 thirds. ft. in. ii iii 8357 5496 41896 62723 291104 415311 44906306 It will be perceived that there is a great difference between cross multiplication and duodecimals, and the purposes to which each may be most advantageously applied; but the reader who wishes for farther information on this subject, may have recourse to the articles DECIMALS, DUODECIMALS, and PRACTICE. Cnoss SPRINGERS, in groins of the pointed style, are the ribs that spring from one diagonal pier to the other. CROSS VAULTING, a vault formed by the intersection of two or more simple vaults. When each of the simple vaults rises from the same level to the same height, the cross vault- ing is denominated a groin; but when one of two simple vaults, in cross vaulting, is below the other, the intersection is simply denominated an arch of that particular species which expresses both the simple arches; thus, if one cylinder pierce another of greater altitude, the arch so formed is called a cylindro-cg/lindric arch; and if the portion of a cylinder pierce a sphere of greater altitude than the cylinder, the arch is denominated a sphero—cylindrz'c arc/z ; and thus, for any other species of arch whatever, the part of the qualifying word which ends in o, denominates the simple vault which has the greater altitude, and the succeeding part the other of less altitude. CROUDE, a subterraneous vault or crypt. CROW", a bar of iron, used in bricklaying and quarrying. CRO W N, in architecture, the uppermost member of a cor- nice, cmnprehending the corona and its superior members. CKCWN or AN ARCH, the most elevated line or point that can be taken on its surface. (311mm, in geometry, a plane ring, the surface being con- tained between the circumferences of two concentric circles. The area will be found by multiplying half the sum of the two circumferences by its breadth; for it is easy to conceive, that if radiating lines he equidistantly drawn indefinitely near each other, the whole will be divided into truncated isosceles triangles, or trapezoids, Whose opposite angles are equal to two right angles; then the broad and narrow ends being placed alternately in a straight line, and the sides in conti— guity with each other, the whole will form a rectangle, whose length is equal to the half sum of the two circumferences, and the breadth that of the ring ; for all the middle breadths are in one straight line, equal to the length of the rectangle. Example—Suppose the greater circumference of a crown to be 24 feet 8 inches, and the lesser 21 feet 6 inches, and the breadth 2 feet 9 inches, required the superficial content ? By cross multiplication. By decimals. ft. in. 24 8 24.666 = 24.3— 21 6 21.5 = 21% 2)46 2 2)46.166 23 1 23.083 2 9 2.75 = 2% o 9 115415 207 161581 2 46166 12 ) 209 63.47825 content in ft. 8: dec. 12 17 5 —— 46 5.73900 inches 12 63 5 9 8.868 seconds. CROWN GLASS, the finest sort of window - glass. See GLASS. CROWN—POST, in truss-roofing, the truss-post, Which is placed between a pair of principal rafters, or depending from the summit of the principals, in order to support braces or struts for sustaining the intermediate bearing of the princi» pals, or keeping them from being bent by the weight of the covering. It is otherwise called king-post and joggle-post. See Posr and TRUSS-POST. CROWNIN G, in general, the part that terminates any piece of architecture. Thus the cornice, a pediment, acroteria, &c., are called crownings. CRUCIFIX, a cross with a figure or representation of S. Saviour crucified, affixed to it. CRYPT, according to Vitruvius, the under part of a build- ing, answering nearly to our cellar. The term is more particularly applied to a vaulted apart- ment beneath a church, either entirely, or partly under ground. Crypts owe their origin to the circumstance of the early Christians being compelled, for the sake of secrecy and concealment, to perform their sacred services in caves and subterraneous places, some of which are still pointed out at Rome. Crypts are not unfrequent, especially under large churches, they seldom, however, extend the whole length of the church, being usually confined to the choir or chancel, and sometimes not extending so far as this; they are usually low and massive, of an earlier and plainer style than the superstructure. Many crypts are claimed as belonging to the Saxon style, as those of Lastingham Church, Yorkshire: S. Peter’s, Oxford ; Repton Church, Derbyshire; and portions of those of many of our cathedrals. Crypts were formerly used for service, and accordingly are provided with altars and other furniture requisite for the pur— pose. The most extensive building of this kind is that under Canterbury Cathedral, which is thus described by Mr. Britten: CUB 216 CUB “Like those at Winchester, the crypts of Canterbury Cathe- dral appear to have been built at different times. Their eastern termination is semicircular; which form has been also observed in the small lateral chapels. The interior length of the Canterbury crypts is 286 feet 6 inches. The age of the oldest part has long been the subject of controversy; but from Its similarity to the crypt at Oxford, it may be regarded as contemporaneous with that ; it was most probably the work of Lanfranc, about A.D. 1080. The larger, or western crypt, is divided into a nave and four aisles, by two rows of massive piers, and by a double range of small columns; whilst the piers and walls of the aisles have semi-columns to support the vaulting. Branching laterally from each aisle is a vault or chapel ; that on the south side, the vaulting of which is adorned with many ribs, bears evident marks of innovation, and is supposed to have been converted into a chantry chapel by Edward the Black Prince, whose arms are seen among its ornaments. Towards the eastern end of this crypt was a chapel, inclosed with screen-work, and dedicated to the Holy Virgin. The crypt under the Trinity Chapel, or east end of the cathedral, is singular in form and character. Its plan assumes the figure of an horse-shoe; and is divided into a nave and aisles by a series of eight piers, each formed of two columns, engaged about one-quarter of their diameter, sup- porting four semicircular and five pointed arches, their respective forms being influenced by the width of the inter- columniations. In its central division, or nave, are two small insulated shafts, with large capitals and bases to support the ribbed groining, which is distinguished from that of the western crypt by cross-springers and bold mouldings. At the eastern extremity is a small vaulted chamber, forming the ter- mination of these interesting apartments.” Amongst the smaller examples, may be noticed that of Hythe, Kent, and those of Repton, and St. Peter’s in the East, Oxford, before—mentioned. CRYPTo-PORTICUS, a subterraneous passage, as the original word implies. If we may judge (says Winckelman) from the remains of antique edifices, particularly those of the Villa Adriani, at Tivoli, we might be led to believe that the an— cients preferred darkness to light: for, in fact, we find scarcely any chamber or vault among these ruined edifices, which has any appearance of windows. It seems probable, that in some, the light was only admitted through an opening in the middle of the vault, but as the vaults are generally fallen, this point cannot be ascertained. The inhabitants of Italy are naturally attached to the shade and coolness of half-lighted apartments. The long galleries of the Villa Adriani, which are undoubtedly crypto-porticos, receive a feeble light at each end, from em— bracing near the ceiling. The term crypto—porticus was, however, applied, in course of time, to apartments similar to our galleries. We find, in Pliny’s description of his house at Laurentium, that the crypto-porticus had windows on each side, looking towards the sea, and upon his garden ; also other windows over these. When the weather was cold, they were shut on the side that sheltered them from the wind, but in warm and serene weather they were all set wide open. . CUBATURE, or CUBATION, of a solid, the solid contents according to any common measure, as a solid inch, foot, yard, &c., which is called the measuring unit. The cubature is the same in respect to the contents of a solid, as the quadrature is in respect of a superficies. There is one general rule that will apply to finding the cubation of nearly all the regular solids as entire bodies, or to their frustums or segments, viz. “to four times the area of the middle section add the area of each end; multiply one-sixth of this sum (which is the mean area) by the distance between the ends, and the product will give the con- tent of the solid.” This rule has been applied to three particular cases, viz., in the prismoid, cask measuring, and the frustum of the hyperboloid ; it has also been demonstrated rather as a theoretical curiosity, than as a practical rule, at the end of Dr. Hutton’s Mensuration, applied to solids generated from conic sections. This rule, however, applies to solids in general, and com- prehends the whole of mensuration in its principle ; though such an extension has never been noticed by any writer on the subject, yet it cannot fail to be of the utmost use in assisting the memory ; for when particular rules are forgotten, this general one may be easily remembered. It will apply with accuracy to prisms, pyramids, prismoids, cones, conoids, cuneoids, spheres, spheroids, and to all their segments and frustums, cut by planes parallel to their axes. Some may object, however, by saying it is not easy to come at the dimensions of the middle section ; but in straight solids these will be very readily ascertained, by taking half the sum of the two ends ; in complete spheres and spheroids, the middle dimension is absolutely given. In the hyperboloid and its frustums, the dimensions of the middle section is much easier obtained than either the transverse or conjugate diameters, one of which, or both, it would otherwise be necessary to have. In the paraboloid and its frustums, the middle area is half the sum of the areas of the two ends. The reader who is desirous of seeing the application of this general rule, may consult the article SOLID. CUBE (from, xufiog, tessera, die) a solid, bounded by six squares ; it is otherwise called a hexahedron, from its six sides. Its simple properties are, that its sides are all equal, and at right angles with each other : it has also its opposite sides parallel to each other. The cube may be conceived to be generated by a square figure along a right line, of equal length to the side of the square, and perpendicular to the plane. From its construction, it its evident that all sections of the solid, parallel to any side, are equal. The envelope, rete, or net, may be thus constructed : Draw two lines, AD and AB, at a right angle with each other; make AB equal to the side of one of the squares, and AD equal to four times A B, marking the points of division, E GI; draw BC parallel to AD, and DC parallel to AB, parallel to which also drawn F, G 11, I K, cutting 13 C at F, H, K : produce E F and G H on both sides, to L and M on the one side, and N and 0 on the other,making E L, G M, r N, H 0, each equal to E F, and join L M and N 0; this will complete the envelope required. Hence the superficies of a cube is found by multiplying the area of one of its sides by 6. The solidity of a cube is found by multiplying the area of one of its squares by one of the lineal sides of a square. Hence if one lineal side be 10, the solidity will be 1,000; and if 12, it will be 1728 ; wherefore a cubic perch contains 1,000 cubic feet, and a cubic foot of 1728 cubic inches. Cubes are to one another in the triplicate ratio of their lineal sides. CUBIC NUMBER, one which arises by multiplying two equal numbers, and the product again by another equal number: thus, 12 X 12:144, and 144 X 12:17:28. CUBICLE, a bed-chamber. See CHAMBER, and the next word. CUBICULUM, among the Romans, a bed-rhamber. This name was also given to the balcony or logia, in which the emperors were placed at the public games. CUBIT, a lineal measure used by the ancients, particularly by the Hebrews, taken from that part of a man’s arm between . _c-~w~———— CUR the elbow and tip of the hand. The English cubit may be calculated at 18 inches, the Roman at 17.406, and the Hebrew at 21.888 inches. CUL-DE-FOUR, or CU—DE-FOUB, a sort of low spherical vault, ovenlike. This is the definition generally given; but this term, as also the following, are altogether void of specific meaning. As they define nothing, we have only retained them as being found in all large encyclopaedias and builder’s dictionaries, in order that our architectural nomenclature should not be thought deficient. What is meant by a low spherical roof? Is it a segment less than a hemisphere? Where is the similarity between an oven and a spherical surface ? Is not the latter definite, but the former indefinite? CUL-DE-FOUR or A NICHE, denotes the arched roof of a niche on a circular plan. These two definitions are of French origin. There may be many forms of arched roofs or heads, on a circular plan; however, the probability is, that it is either spherical or spheroidal, terms perfectly specific, unless it be in the quantity or portion of the surface employed. CULMEN, in ancient Roman carpentry, answers to what we denominate the ridge-piece of a roof. ‘ CULVERT, an arched drain for conveying rills and brooks of water under canals or roads, from the higher level on one side, to the lower level on the other side of the canal or road. They are also employed for discharging the rain-water out of hollows on the upper side of a canal. When such a drain or water-passage has a descent, so as to make it lower in the middle, it is said to be broken-backed. CUNEUS, one of the mechanical powers. See WEDGE. CUNEUS, in Roman antiquity, that part of the theatre where the spectators sat, which was so named on account of its resemblance to a wedge. This form became necessary on Iccount of the elliptic figure of the edifice, and of the stair- cases and doors, which were fixed in radial directions, and divided the seats into wedge-form compartments. CUPBOARD, a recess in a wall, fitted up with shelves, to contain articles when not in use. CUPOLA, a roof or vault, rising in a circular or elliptic curve, from a circular, elliptic, or polygonal plan, to its summit, with its concavity towards the plan, the interior or exterior surfaces being such, that every horizontal section, whether the one or the other, are sim lar figures. A cupola is otherwise termed tholus, or dome. See the latter word for its history and properties. CURB, in a general sense, signifies a check or restraint. CURB FOR BRICK STEPS, a timber nosing generally of oak, employed not only to prevent the steps from wearing, but also from being dislocated or put out of their places. When the steps are made to return, the curb also returns, but when they profile against a wall, the ends of the curb or nosing- pieces, house at each end into the wall. CURB PLATE, a circular continued plate, either scarfed together, or made in two or more thicknesses. The wall- plate of a circular or elliptically ribbed dome, is termed a curb plate, as also the horizontal rib at the top, on which the vertical ribs terminate; likewise the plate of a skylight or a circular frame for a well. CURB PLATE, also the horizontal piece of timber supported Bk, or Cl :: lm, or Do:: '01), orEr:: Sr, or run: F21: Bi: cl: Do. Er: Eu: Therefore, Bi :r v :: F022 217 . S.Bki, or ABC s.cml,or mcn S-Dp0,01‘qu s.Bsr,or vru: :s.F'vu,or vo: S.ABCXS.vFqu.vo: aislzxsiakxsnre. sumo CON by the upper ends of the lower rafters, for receiving the feet of the upper rafters, in a curb roof. CURB RAFTERS, the upper rafters on both sides of acurb ‘rooi. CURB ROOF, a roof formed of four contiguous planes, of which each two have an external inclination, the ridge being the line of concourse of the two middle planes, and the highest of the three lines of concourse. This construction is frequently denominated a Monsard roof, Mansard being the name of its inventor. It is very well adapted to a house surmounted by a parapet, so high as to cover the lower plane of the roof, as it gives a free or uninterrupted space from the level of its base to that of the summit of each lower plane, or to the base of the two upper planes. In curb roofing, there is no danger of springing the walls by lateral pressure, for the distance between the base of the lower sides and the base of the upper sides, being sufficiently high for head-room, ties can always be fixed in these two situations, which will prevent all danger. Indeed, if the four sides of the roof be properly balanced, the space may be made a complete void to the very ridge, or the upper part may be thrown into a cylindric arch. A curb roof has great advantages over a common roof, on account of the lower rafters pitching almost perpendicularly to their bases, and forming very nearly a continuation of the walls: whereas, in common roofs, the great inclination of the sides, and the quantity of head-room required, diminishes the space for lodging, in the breadth of the building; in most cases there will be a loss of about 15 or 16 feet at least, and consequently, in small houses, no lodging-room whatever. Curb roofs are generally lighted from dormer windows in ; the lower side. The following contains the theory and practice of curb roofing, which is perhaps one of the most- interesting parts in the science of carpentry : Proposition I. Figure l. The position of several rafters, A B, B C, C D, D E, &c., being given in a vertical plane, and 1; movable about the angular points B, C, D, E, &c., while the ? points A and G remain stationary; it is required to find the proportion of the forces at the angles, so that the rafters may be kept in equilibrio. Through the points B, C, D, &c., draw the vertical lines B 2', cm, Dp, &c., the direction of the forces; make Bi of any indefinite length, and complete the parallelogram B It 2' k ,- make Cl equal B k, and complete the parallelogram 0 lm n. Proceed in this manner with all the remaining parallelograms, making the two opposite forces in the direction of each rafter equal, and the diagonals B 2', C m, D p, &c., will represent the forces required, as is evident from the construction. Then, to find the proportion of the weights upon any two angles, the sine of any angle is the same with the sine of its supple- ment; therefore, the sine of the angle ABC is the same as the sine of B k i, and the sine of B C D the same as the sine of c n m; likewise, the sine of the angle C ml is equal to the sine of the alternate angle men, and the sine of the angle D1) 0 is equal to the sine of the anglep D g,- moreover, the sine of the angle in is equal to the sine of the angle me I, and the sine of the angle me n is equal to the sine of the angle p D o, and so on: then, because the sides of the triangle are the same as the sines of their opposite angles, it will be, by trigonometry, :s.Bik, or fair. :s.mcl,or i Bk. : s.p Do, or me n. s.Esr, orqu. s.vur,or EFG. S.EFG Therefore, 13 z : 3x sis/z x 5.in soru x s.vrw. COR 218 COR .' That is, the weights on any two angles are as the sines of these angles directly, and reciprocally as the product of the sines of the two parts of these angles formed by the vertical lines. Corollary 1. Hence the weights on any two angles are as the Sines of the angles directly, and as the produce of the co-sines of the angles of elevation reciprocally. For, draw B H perpendicular to B i, and produce iB and A B to I and K, then will the angle K BI, equal the angle ll B 2', be the com- plement of the angle 11 B K, viz., the complement of the angle of elevation of the rafter A B above the horizon; and because C B I is the supplement of C Bi, the angles C B I and C B i have the same sine, and the angle CB1 is the complement of the angle H B C, viz., the angle of elevation of the rafter B 0. Corollary 2. Hence also the weights on any two angles are as the sines of the angles directly, and as the products of the secants of elevation jointly; for the secants of any two angles are reciprocally as the co-sines of these angles. Corollary 3. The force which any rafter makes in its own direction, is as the secant of its elevation. For, make AP equal to BIL, draw the lines PN, kH, 72L, 8m, parallel to the vertical lines B i, Cm, &c., and draw A N, B H, C L, 8m. parallel to the horizon; then, because the angles N A 1’, H B It, I. C n, 850., are the angles of elevation, and A N, B H, C L, &c., are all equal, if AN, B H, c L, &c. be considered as radii, A P, Bk, on, 8w. are the secants of elevation, and also represent the forces on the rafters. Corollary 4. Hence the horizontal pressures at A and C are equal; for all the pcrpendiculars drawn from the opposite angles of each parallelogram to meet the vertical diagonal, are all equal. Corollary 5. Hence, if the position of any two rafters, and the proportion of the weights be given, the position of the remaining rafters may be determined. Corollary 6. If the vertical line S D V be drawn, the hori- zontal line A V G and the lines A s, A R, A Q, A T, &c. be drawn parallel to the rafters A B, B C, C D, D E, &c. meeting the vertical line in s, R, Q, T ; then will A S, AR, A Q, A T, repre- sent the forces, and s R, RQ, QT, the forces upon the angles ; for A 3, AR, AQ, A T, &c. are the secants of the elevation, and the triangles A s R, A R Q, A Q T, are all similar to the triangles hBi, lCm, ODp, Ste. Corollary 7. In every roof kept in equilibrio by the weight of the rafters, if U, V, W, 810. be the centres of gravity of the rafters, and also represent their weights, then the weight pressing vertically on B, will be U VC X V . VB X V AU X +————-, and the weight on C 2 AB BC BC WD X W AU X U VC X V , and so on. Hence —— —— BC s.ABC s.BCD VBXV WDXW +——-——: BC on sti X SJBK ' s.lcm x Snncn Corollary 8. Hence, if the rafters be prismatic figures, the weights on the angles B, C, D, Sac. will be respectively as A B+BC. BC+C n, c n+1) E, and so on. Pr0position II. Figure 2. Given, the vertical angle of a roof, and the proportion of the rafters on each side ; to describe the roof to a given width, so that it shall be in equilibrio. Let the proportion of the rafters from the bottom, upwards, he as 4, 3, 2 : Then 4 + 3 = 7 represents the weight on G. 3 + 2 : 5 represents the weight on II. and 2 + 2 = 4 represents the weight on I. Now let F BE be half the given angle, produce E B through 0 to D, draw FA M perpendicular to E D cutting ED at A; make AE equal to AB, and join EF; let BE represent the weight on the vertical angle: make E B, B C, C D, to one another as 4, 5, 7 ; join F D, F C, F E ; from any scale of equal parts make F G:7 ; draw G 11 parallel to F C, equal to 5 parts, and III parallel to F B, equal to 4 parts, and the contiguous lines F G, G H, H I, will be similar to the half roof. The other half i will be found by drawing the vertical line IN, and ordinates perpendicular’ thereto, from the points G H, to L and K, and making the distances on both sides of I N equal. This figure may be reduced or enlarged to any given width, by making a similar figure upon a given line. Proposition III. Figure 3. The angular points at the meet- ing of every two rafters ofa roof in equilibrio, by equal weights hung at the angles, in directions equidistant from each other, are in the curve of a parabola. Let A B C D E, Sac. be kept in equilibrio, by equal weights 3 suspended at the angular points B, C, D, E, &c., in the equi- ' distant directions BF, 0 G, D H, E I, &c. the points A, B, c, D E, &c., are in the curve of a parabola. For, let the lines BF, C G, DH, and EI, meet A N at F, G, H, I: draw A K parallel to D E, AL parallel to C D, and A M parallel to B C, cutting F B at K, L, M. parallel to A N, cutting the middle line I E at Q. P, 0. Then, because that the weights on the angles are equal, F K, K L, L M, M B, are as the numbers I, 2, 2, 2, therefore F K, F L, F M, F B, are as the odd numbers 1, 3, 5, 7 ; but because of the equidistant lines B F, C G, D H, and parallels Draw BQ,CP,D0‘ D O, C P, B Q, the triangles A F K, A F L, A F M, are respectively ‘; equal and similar to the triangles D 0 E, C s D, B R C ; there- fore F K is equal to 0 E, F L equal to S D equal to 0 P, FM equal ' to RC equal to P Q, and lastly, B F is equal to Q1 ; therefore , E 0, 0 P, P Q, Q I, are to one another as the numbers 1, 3, 5, 7, and E 0, E P, E Q, E 1, are as the square numbers 1, 4, 9, 16, but the lines OD, P C, Q B, are to one another as l, 2, 3, 4; . therefore the abscissas E 0, E P, E Q, E I, are as the squares of .y the ordinates O D, P C, Q B, and the points A, B, C, D, E, are in the curve of a parabola. In the same manner it may be shown that this is the case, whatever he the number ofordinates. Corollary—Hence a roof of this construction may be described to any given height and vertical angle, or to a given width and height with any number of rafters on each side. Ea‘ample.—To describe a roof with any given number of , rafters on each side, of a given width and height, so that all the weights suspended from the angular points of the rafters in vertical equidistant lines, may keep the rafters in equi- librio. Figure 3.—Let there be four rafters on each side, let IN be half the width, and I E the height. Draw N T and E T parallel to I E and I N ; divide N T into four equal parts, Nfife, ed, (1 T, and draw dg E, 8 It E,fi1-: : likewise divide IN into four equal parts, I c, c l), l) a, a N, and draw 0 g, I) ll, a 2', parallel to I E. Join Eg, glz, ll 2', iN, and these lines will be the rafters of half the roof required. For the demonstration, see the article CONIC SECTIONS. Proposition IV. Figure 4.—Suppose it were required to construct a curb roof to have the bottom rafter to the upper rafter as 2 to 3, to a given vertical angle at the top, and a given width A B. Now the weight on the upper angle is to the weight on 2 H I _ II I + I A Is to 2 2 3:3is _ 3 the lower angle, as that IS, :- 3 + 2 2 weight at II is to the bottom weight at I, as 3 to 5. Bisect A B by the perpendicular CD, and make the angle to = 2 %, this is in the proportion of 6 to 5, or the half Rwaw, RB j «T. 11' CUR 219 CUR A E C equal to half the vertical angle, or the angle E A C, equal to its complement. Make ED to E C as 5 to 3 ; join DA and DB; in AD, take any point, F; draw FG parallel to AE, making AF to F G as 2 to 3 ; draw A GH, cutting CD at H, and HI parallel to F G or E A, cutting A D at 1 ; make B K equal to A I, and join K B, then A I H K B is the contour of the roof required. This is so evident from its construction, that it does not require demonstration. . Proposition V. Figure 5.—-To describe a roof with four equal rafters, that shall be in equilibrio by the weight of the rafters, of a given width A E, and height F C. Join CE, and bisect it in H by a perpendicular, DHG, meeting A E in G ; on G, as a centre, with the distance GE or G0, describe the circle C E 0. Draw K H 1 parallel to F E, to meet the vertical line 0 C in K, and the circle in I. Draw 1 D C, and join DE, then make the side C B A similar to CD E, and A B, B C, C D, D E, will be the rafters of the roof required. For, in Figure 6, complete the parallelogram C D Q B, and join BD, IF, and draw C L perpendicular to C F, and equal to PG; on L, with the distance GE describe the circle NI F, meeting the vertical line at N and F ; produce ED to meet it also in M, and B C to P. Then because KF is equal to K C, and R C equal R Q, the triangles C I F and C DQ, are similar ; therefore I F is parallel to DQ, and because the two segments N I F and C E O are equal to one another, the angle NIF is equal to the angle C E 0, equal to twice the angle C E F, or twice the alternate angle ECL, equal to E CD + DCL; but E CD is equal to half the external angle MD C, and DC L is half the angle DCP; equal to CDQ. Therefore the angle NI F is equal to the angles MD C + CDQ, equal to the angle M D Q, conse- quently,C F : C N : : C Q : C M, but 0 F and C N are equal, there- fore CQ and CM are equal ; but C Q is to C M as the weight on C is to the weight on B or D, therefore the weights on C and B are equal, and the rafters A B, B C, C D,D E, are in equilibrio. CURB STONES, (sometimes written Iferb or Kirb,) those common to the foot and carriage pavements in a street. CURIA, a court of justice. See BASILICA. CURLING STUFF, that which is occasioned by the winding or coiling of the fibres round the boughs of the tree, where they begin to shoot out of the trunk. The double-iron plane, now in use, is a most complete remedy against cross-grained and curling stuff; this plane, if Well set, will work nearly as smooth against the grain as with it. CURRENT, the necessary slope of a piece of ground or pavement, for discharging the water from the surface. CURSOR, a point screwed on a beam-compass, and which may he moved or slid along the beam, for striking greater or less arcs of circles. It is also that part of a proportional compass which holds the two legs together, and by which the points are set in any given ratio. The sliding parts of the trammel, rood, or ellipsograph, are also called cursors. See COMPASSES. CURTAlL STEP, the first step by which a stair is ascended, finishing at the end in the form of a scroll, follow- ing the plan of the hand-rail. See the article STAIR. CURTAIN, (from the French c0urtine,) in fortification, that part of the rampart which is between the flanks of two bastions, bordered with a rampart five feet high, behind which the soldiers stand to fire on the covered way, and into the moat. CURTICONE. See FBUSTUM and TRUNCATED CONE. CURULE, a sort of raised, embellished chair or seat of ‘ ivory, gold, &c., placed in a chariot, wherein the chief officers . of Rome were wont to be carried into council. It was also a mark of distinction for dictators, consuls. praetors, censors, and ediles, who were from this circumstance called curules. Curule chairs were of various shapes, but the one generally used was a stool without a back, so made as to be folded up, and opened again in the manner of a camp stool. CURVATURE, that degree in a curve, in which the curve recedes in a perpendicular from a tangent, at a given distance from the point of contact; and consequently if two curves, or two parts of the same curve, have each a tangent, and if any equal distance from each point of contact be taken, and a perpendicular be drawn from each point of distance to the curve ; then, in each of these curves, or portions of the same curve, the intercepted perpendicular being greater or less, the curvature will also be greater or less. CURVE, a line, such that only one straight line can be made to touch, without cutting it, when the straight line is extended on both sides of the point of contact ; or a curve is a line in which, if a point be taken, only one straight line can pass that point without cutting the line in which the point ,is taken. The straight line so drawn is called a tangent to the curve. The circle is the most simple of all curves, depending only upon the arbitrary extension of its radius, which, if given, the circle is determined in magnitude. Its circumference is one uniform curve, or has its curvature everywhere equal, and equally distant from the centre. In every curve line whatever, it is evident that a very small portion may be taken as a circular are at any point ; or that there is a certain circular are at that point which has the same curvature as an indefinitely small portion of the curve, but a greater curvature than an indefinitely small portion of the curve upon the one side of the point, and also a less curvature than the nearest indefinitely small portion on the other side of the point. The radius of a circle of equal curvature to the curve at any proposed point, is called the radius of curvature at that point, and is the measure of the curvature of all curves. The circle of equal curvature with the curve, is called the equicurve circle, or the escalating circle. Hence, if the osculating circle and the curve have a common tangent, no other circle whatever can be drawn between the two curves ; and when the curve is continually upon the increase or decrease in its curvature, the arc of the osculating circle will be on the concave side of the curve on one side of the point of contact, and on the convex side on the other side of the said point ; or the curve will be between the tangent and the circumference of the osculating circle on the one side of the point of contact, but the circumference of the osculating circle will be between the tangent and the curve on the other side of the point of contact. The principal curves that are useful in architectnre, are the conic sections, namely, the circle, the ellipsis, the parabola, and the hyperbola ; also, the cycloid, the conchoid, the spiral of Archimedes, and the logarithmic spiral. The definitions and the most useful properties, will be found under each word. CURVE OF DOUBLE CURVATURE, a curve, of which all its parts are not in the same plane. Thus, if the surfaces of two cylinders of the same diameter intersect each other, and their axes also intersect each other, the common intersection will be a curve, of which its parts are all in the same plane ; or if the surface of a cylinder and cylindroid intersect each other, and their axes also intersect each other; and if the semidiameter of the cylindroid be perpendicular to a plane passing through the two axes, and equal to the radius of the cylinder, then the parts of the curve formed by the two surfaces, are likewise in one plane : or if the surface of one cylindroid meet that of another CUT 220 CYC cylindroid, and their axes intersect each other; and if the semi-diameters of both cylindroids, perpendicular to a plane passing through the two axes be equal to each other, the curve formed by the intersection of the cylindroidic surfaces will have all its parts in one plane: not any of these thus defined, are curves of double curvature. But if the surfaces of two cylinders of unequal diameters meet in a common line, this line is a line of double curvature : of this description are cylindro - cylindric groins. Many other instances of two geometrical solids meeting each other, pro- ducing lines of double curvature, may be laid before the reader, but perhaps what has already been adduced will be sufficient. CURVED SURFACE OF A SOLID, that in which, if any point be taken, and if the solid can be cut by a plane through the point, and thence form a section, such section is terminated by a curve: Thus a cylinder or a cone may be cut by a plane, through any given point, so as to make the common section of the cylinder or cone with the plane, a curve, or a straight line; but if a sphere, spheroid, or any of the conoids be cut by a plane through any point, the common section of the plane, and the surface of any such solid will be a curve. CURVILINEAR, (from the Latin curvus, a curve, and linea, a line,) or CURVILINEAR FIGURE, a superficies bounded by curve lines, or by a curve and straight line, when the properties of the curve depend upon the straight line. The circle and ellipsis are entire curves, or such as have no straight line in their boundary; but the parabola and hyperbola are both bounded by a curve and a straight line. CURVILINEAR ANGLE. See ANGLE. CURVILINEAR ROOF, that which is erected upon a cur- vilinear plan, as a circular, or elliptical, or portions of these curves. CURVILINEAR SUPERFICIES or A SOLID. See CURVED SUR- FACE OF A SOLID. CURVILINEAR TRIANGLE, one whose sides are curves. CUSHION RAFTER. See PRINCIPAL BRACE. CUSP, (from the Latin cuspis,) one of the pendants of a pointed arch, or one of several pendants forming what may be denominated a polyfoil; two cusps form a trefoil, three a quatrefoil, four a cinquefoil, 8w. In other words, the term may be explained as the points generated by the intersection of the small arcs or segments of circles, forming the foliations which frequently terminate the internal curves of Gothic arches, more especially window arches, in the shape of tre- foils and other polyfoils. This name was first given by Sir James Hall, of Dunglass, in an Essay on the Origin of Gothic Architecture. He says, in a note at the bottom of page 23, that “assemblages of these cusps are spoken of in the descriptions of Gothic works, by the means of trefoil, quatrefoil, semitrefoil, &e.; but no proper word has been used to describe the form, Wherever it occurs, or however combined.” CUSTOM-HOUSE, an edifice in some chief city, or port, for the receipt of the customs and duties of importation and exportation imposed on merchandise, by the authority of the sovereign. The custom-house in Dublin is avery elegant edifice. CUT, in inland navigation, the same with canal, branch, or arm. CUT BRACKETS, such as are modelled on the edge. CUT Roor, a truncated roof. CUT STANDARDS, for shelves, are those whose front edge is cut into mouldings. CUT STONE, hewn stone, or that which is brought into shape by the mallet and chisel. CUT-WATER, the lower portion of the pier of a bridge, where the two sides meet at a point, so disposed to meet the current, and ofl'er as little resistance as possible to the force exerted by it against the pier. CUTTING PLANE, a plane supposed to cut or divide a solid into two parts, in any position. CUVILLER, FRANCOIS, an architect, born in the year 1698, at Soissons, in France. He was employed by the Elector of Munich in many public buildings, and con- tinued in the service of that court till his death, which hap- pened in the year 1760, leaving behind him many plans and designs, which were afterwards engraved by different artists, and published by his son, Francois Cuviller, who was born at Munich, and succeeded his father as architect to the court. CYCLOGRAPH, (from the Greek, xvxxog, a circle, and 'ypoupuv, to describe) in practical geometry, an instrument for describing the arc of a circle to any chord and versed sine ; but chiefly used in flat segments, or those whose curvatures approach to straight lines. There are several constructions of cyclographs, of which the following is one. The principle consists of two rules, AB, and CD, connected by a folding joint, E, the pin, 1?, of which projects upwards, and is mortised to receive a bar, h g, which is fastened, but movable round the centre of the folding joints; upon the connected rules, A B and C D, at equal distances, from the centre of the folding joint, are fastened the ends Iand K, of two other equal bars 0 I, c K, connected by a movable joint, c, so as to form a rhombus hKcI, movable round each of the joints, 0, 1,.h, K; then the bar, by, which passes through the centre, h, of the two first rules, being made also to pass through a projection of the pin, 0, of the opposite angle of the rhombus, is made to slide into the mortise as at c. The use of the bar is to fasten the instrument in any position by means of a screw inserted from the middle of the top of the upright pillar at c, which receives the sliding end of the bar. The instrument being supposed to be placed upon a level plane, and the pin, h, of the folding joint being made to project upwards; another bar, LMN, bent to a right angle with a longitudinal slit, 0 P, is fitted upon it, so as to have a motion upon the pin h, in the section of the slit, but may be fastened at any required point, by means of a screw from the top. The other end, N, of this bar is mortised in the direction of the slit, to receive the lower bar, hg, so as to have a longitudinal motion. The middle line of the upper bar stands in the same vertical plane with the middle line of the lower bar, and these two lines are parallel in all positions of the instrument. The end of the bar, L M, at the external side of the folding joint, has a deep socket for holding a pin or pencil, perpendicular to the plane of the instrument. The advan- tage of the upper bar being movable, to which the pin or pencil is attached, is to admit the point of the pin or pencil to be brought into the intersection of the sides BA, CD, of the instrument. To describe the segment of a circle by means of the cyclo- graph, fasten two pins in the plane, or steel edges made on purpose, and adjust the angle of the instrument ; place the outer edges upon the pins, and the angle close upon one of" them ; move the instrument laterally close to the pins, and a pen or pencil will describe the curve. The principle of this instrument is founded upon the. twenty-first proposition of the third Book of Euclid’s Elements, in which it is announced and proved that “the angles in the same segment of a circle, are equal to one: another.” CYL 221 CYL This instrument may also be applied to the drawing of lines to any inaccessible points, by means of the middle bar, which always bisects the angle, and therefore will be indis- pensably useful in the practice of perspective. CYCLOID, (from the Greek Icvlchog, a circle, and a509, form) a figure described by rolling a circle upon a plane, along a straight edge ; then the moving point will trace the curve called a cycloid, or troclioid. The middle portion of this figure is very appropriate for the arch of a bridge, which requires to have its roadway raised on the top, as the extrados of this curve has a gentle convexity. CYCLOPEAN ARCHITECTURE, that practised by the early colonists of Greece, more remarkable for its-massive construction than any other feature, whence also its name. See PELASGIANARCHITECTURE. CYCLOSTYLAR, aterm applied to those erections which consist of a circular range of columns, without a central building. ’ CYLINDER, (from the Greek Kuhn/55w, to roll) a solid formed by moving a straight line in the periphery of a circle, parallel to another straight line, which passes through the centre, and which makes any given angle with the plane of the circle, until the line come again into its first position. The surface described by the moving line from the circle to any indefinite extension, is called a cylindric surface; the straight line which passes through the centre of the circle is called the axis of the cylinder, and the circle the base of the cylinder. If the axis be at right angles to the plane of the base, the cylinder is called a right cylinder ; but if at oblique angles, then it is called an oblique cylinder. Euclid confines his definition only to a right cylinder, and defines it to be a solid formed by revolving a rectangle round one of its sides. It is evident from this definition, that all sections passing through the axis, or parallel to the axis, have their opposite sides parallel; viz., those which are formed by the cutting plane and the cylindric surface. From the definition here given, the following consequences may be drawn, as being too obvious to require any formal demonstration. If a plane, parallel to another plane, drawn along the axis of a cylinder, touch the periphery of the base, the plane so posited will touch the surface of the cylinder, and will meet it in a line parallel to the axis; but if such plane cut the plane of the base of the cylinder within its periphery, it will cut the cylindric surface in two parallel lines, and the common section of the plane and the cylinder will be a parallelogram, and, lastly, the common section of a plane, parallel to the base, with the cylindrical surface, is a circle with its centre in the axis. Let us now consider the property of a section which will meet the plane of the base of the cylinder, but which will neither pass along the axis, nor be parallel thereto. 3L Figure 1.—-Let A M L B be a section of the cylinder through the axis, cutting the section proposed, and let the cutting plane meet the plane of the base A F E B N 0 in R 8: through the centre D of the base, draw the diameter A B, at right angles to R 5. Let the plane be drawn through AB and the axis D H of the cylinder, meeting the cutting plane in the line M H G L T, and the surface of the cylinder, in AM and BL. Through H and any other point, G, in M L draw Q K and IP parallel to R 8; through K Q and D H, draw the plane K Q 0 F, and through I P draw the plane I P N E, parallel to the plane K Q 0 F, cutting AB at C; and because KQ and IP are parallel to R8, the planes K Q 0 F and I PN E, are also parallel to R 5; therefore F 0 and E N, are respectively parallel to KQ and IP; conse- quently, the figures K Q o F and I P N E, are parallelograms, and therefore K Q is equal to F 0, and I P equal to E N: because E N is parallel to R s, it is at right angles to A B, and hence it is plain that IP is bisected by M L. Now the triangle AM T, has the side AT cut into several parts by the intermediate points D, C, B, and M '1‘ cut into other parts at the intermediate points H, G, L, by lines parallel to the side AM, and therefore the parts A D, D C, C B, are respectively in the same ratio with the parts M H, H G, G L; these being premised, we have therefore AC:AD::MG:MH CB:AD::GL :MH ThereforeAC x CB : AD2 ::1\IG x GL :MH’ but AC X CB:Ec2 : Gr2 8; AD2:HK’ consequently Gr? : HK2 :: MG x GL : MH2 therefore the section is an ellipsis. But this demonstration, which is in principle that com- monly given, only shows the general property in respect of the axis, or at most in respect of only two conjugate dia- meters, of which one must be parallel to the base ; and as we have never seen a general proof of this valuable property for any two conjugate diameters drawn from simple princi- ples, without being under the disagreeable necessity of drudg- ing through nearly a whole treatise of conic sections, before we are able to arrive at the conclusion, we therefore subjoin the following demonstration. Figure 2.—Let there be any cylinder, right or oblique, standing upon the base G E A P Q D, and let 0 be the centre of the base; through 0 draw G Q at pleasure, and A C D at right angles to G Q. Through GQ and the axis C M draw the plane G Q S H, cutting the section proposed in the straight line H s, also through A D and the said axis draw the plane ADN K, cutting the section in the straight line K N. In one of the dia- meters, AD, of the base, take any point, B, between A and C, and draw E P parallel to G Q, and the plane E P R F, parallel to the plane G Q s H, cutting the section in F R. From the construction of the cylinder, it is evident that the lines K N, F R, H s, are each divided into parts, which are as the parts of the lines A D, E P, G Q. Therefore as E P, G Q, and A D, are bisected, so will F R at L, H S at M, and K N at M. From the premises we have ........ ...... ......... AB : Ac :: KL : KM and by proportional lines ................ ....... BD : AC :: LN : KM Now, by multiplying the homologous terms.................. AB X BD : AC2 :: KL X LN : KMa But from the property of the cucle AB X BD:EB2 8: AC2 : GC2 Therefore, by substitution, we have EB2 : Ge2 :: KL X LN : KM2 Now again, by proportional lines E B : GC :: FL : HM Squaring the terms of the last analogy ‘ EB2 : GC’ : : FL’ : HM‘ but by the fourth analogy, we have EBSZ : GC’ :: KL X LN : KM2 And by comparing the antecedents and consequents of the last two analogies we obtain. FL' : HM’ :: KL x LN : Kn!" CYL 222 CYL which is a general property of every two diameters, formed by the intersection of planes passing along the axis at right angles to each other. These diameters, it is evident, will be parallel to tangents to the curve, at the extremities of each other. For, suppose two planes touching the cylindric sur- face, each in a line which passes from the extremities of each radius at a right angle with each other, these tangent planes will be respectively parallel to each plane passing along the axis and through the said radii ; the two tangent planes, and the two planes passing along the axis, will be at right angles to each other, or each opposite pair will be parallel; therefore, if these be cut by a fifth plane, the intersections of the oppo- site planes With such fifth plane, in any position, will be parallel lines ; and since the touching planes do not cut the surface of the cylinder, the lines at the extremities of each diameter will be parallel to the curve, and are what are termed conjugate diameters. A cylinder is a species of prism, because all its parallel sections are equal, and every section parallel to the base, is equal to that base; therefore the solidity of a cylinder is determined by multiplying the area of an end by the parallel distance between the two ends. Example I. What is the solidity of a cylinder, whose height is 10 feet, and the diameter of the base 2 feet 6 inches ? in. 6 : 355 = . 5 in decimals 2.5 = the diameter 2.5 125 50 6.25 . 7854 2500 3125 5000 4375 4.908750 10 49 . 087500 Example II. What is the solidity of a cylinder, the circum- ference of the base being 7.85 feet, and the height 15 feet? 7. 85 5 7. 85 3925 6280 5495 61.6225 .07958 4929800 3081125 5546025 4313575 4. 903918550 15 24519592750' 4903918550 73.558778250 The curved surface of every cylinder is equal to a rectangle, one of whose dimensions is the length of the axis, that is, equal to the length of the side of the cylinder, and the other dimension equal to the perimeter or girt. This is a general principle, whether the cylinder have its ends perpendicular or oblique to the axis ; and hence the following—— Rule. Multiply the girt of the cylinder by the length of the axis, and the product will be the cylindric surface. Example. Suppose a cylinder, girt 5 feet 9 inches, and the length of its axis, or side parallel to the axis, be 9 feet 7 inches, what is the superficial content of the surface ? Cross Multiplication. ft- in. Decimals. 5 9 9.583 9 7 5.75 5 3 47915 35 67081 81 47915 12) 121 55.10225 ———— 12 10 l 45 1.22700 ——-—-—— 12 55 . 1 . 3 —-———' 2.724 See the first method in this example under the article CROSS MULTIPLICATION, and the second method, under DECIMAL MULTIPLICATION. These two methods would have agreed exactly, but no decimal corresponding to 7 inches can be precisely found. The method by the girt is what every man in practice would naturally prefer, if the object be before him, since the girt can be as easily measured as the diameter, and with equal accuracy, by means of a string; nor would any person, whose mind is crowded with the affairs of business, take the addi- tional trouble of finding the circumference from the diameter, when it may be so expeditiously obtained another way. However, for the satisfaction of those who wish to be informed of every mode of operation, we shall add the following, as some cases may occur, in which the perimeter cannot be obtained without the diameter; though the contrary might as likely be the case. If the cylinder be a right cylinder, find its circumference, which will then be the same as its ends; then proceed as before to multiply the circumference by the axis, and the product is the superficial content. This is so easy as not to require an example. But where the axis is inclined to the base, the section of the cylinder will be elliptic, the diameter of the circular ends will be the greater axis, the lesser one will depend upon the inclination of the cylinder, and may be thus found :— As the radius is to the sine of inclination, so is the diameter of the circular ends to the shorter axis of the ellipsis. From the two axes being new found, find the perImeter of the ellipsis, then proceed as in the first rule. Example. Suppose the length of the axis to be 22 feet,‘ and the inclination of the same to the plane of the base 50i degrees, and the diameter of each end 3 feet 6 inches; required the area of the curved surface. .__——-— ‘I 223 CYL ; the cylinder; L the centre of the base. ‘ points D and F draw the straight line P0; perpendicular , thereto draw each of the lines D G, E H, F I, respectively equal 9 Y L By logarithms. Then as radius 10.000000 is to the sine of 50° 9 .884254 50 is 3.5 544068 10.428322 10. to the shorter axis .428322 = nat. num 2.68 2 . 68 3 . 5 2) 6 . 18 3 . 09 mean diameter 3% 9.27 .44 9 . 71 elliptic primeter. 22 1942 1942 213 .62 the area required. The above method of finding the extension of the elliptic primeter being the most expeditious, is the most useful for practical purposes, but those who wish to work with greater accuracy may consult the word Ellipsis. A cylinder is said, to be given in position, when its base and magnitude, and the inclination and length of its axis, are given. A point is said to be given on the surface of a cyclinder, when its distance from that point to the base, measured in a . line parallel to the axis is known, and the point on the 1 circumference of the base given. Figure 3.— Given a right cylinder and three points on its ‘ surface, to find the section of the cylinder, by a plane passing through the three points. Let the straight lines, A, B, c, be the distances of the three points, the circle D E F K, the base of Through the to A, B, 0. Draw D EQ and G H Q, intersecting at Q; also draw G I 0, meeting P o in 0, then Q 0, which is the intersection of the cutting plane. Through L draw RL s T, cutting Q 0 at T. In G 0 take any point 772, draw m u perpendicular to G 0, pro- duce um to M, in 0 P, and draw M U perpendicular to PO, ‘ cutting Q 0 at U. From the point 0, with the distance 0 U, describe an are, cutting mu at u; perpendicular from R T, draw R P and L N, cutting Po at Pand N. Draw Pp and N n perpendicular to PO, cutting 0G produced at p, and n. Parallel ; to u o, draw the lines pr and fnlh ; make 0t equal to 0 'r and p r equal to P R, and draw r ls t; make ls equal to lr, ; and lg and lh each equal to BL, the semi-diameter of the 1 base, then will I r and . l f be the semi-axis of the elliptic section. Demonstration—It is shown under the article INCLINED PLANES, that if D, E, F, be any three points, and the lines A, B, C, the height of three points in the space above the plane 1) E F, that Q 0 will be the intersection of the plane in Space with the original plane P 0 Q or its continuation: under ‘ the article STEREOGRAPHY and STEREOTOMY it is shown, that if P 0 Q and P o p be any two plane angles, to be placed at a right angle with each other, that the plane angle G 0 u, will be the hypothenusal plane, and consequently when the three planes, P 0 Q, P 0p, and p 0 u are turned into their position; the straight line 0 u will coincide with 0 U; therefore if a plane be perpen- dicular to the intersection of two planes, it will be at right angles to each of these planes ; and that the section of any vertical line, whose seat is given, will be found by drawing a line on the original plane, parallel to the intersection from the seat, to the intersecting line of the vertical plane; thence a line perpendicular to this intersection to the common inter- section of the vertical and cutting planes, and thence a line from this point parallel to the cointersection; then, by making this line equal to the line drawn from the seat to the common intersection of the original and inclined planes, and thus the point R being the seat of r, and l, the seat of L, and the plane passing through R LST, being perpendicular to Q 0, the common intersection of the inclined and original planes, rlst will be the intersection of a plane passing through the axis and at right angles to the intersection 0 Q, and therefore per- pendicular to Ou: consequently r s and f h are at right angles to, and bisect each other, and are therefore the axes of the ellipsis. The segment of a Cylinder is any portion of the cylinder made by a plane parallel to the axis. The plane parallel to the axis is called the chord-plane. The two lines of concourse formed by the cylindric surface and the chord-plane, are termed the sides of the chord-plane, and the other two lines of concourse made by the chord- plane and the two ends of the solid, are termed the bases or ends of the chord-plane. A line of position is said to be given, when the said line is drawn through a given point on each side of the chord-plane, or to make a given angle at a given point in the base of the chord-plane, or in the base continued. The position of the cutting plane is said to be given, when the line of position through which the cutting plane passes, and the angle which the cutting plane and chord plane make with each other, are known. Figures 4 and 5.-— T 0 find the section of the segment of a cylinder; given its base and the position of the cutting plane—Let A B o be the base of the solid, A D and c E the sides of the chord plane perpendicularly situated in respect of AC, the chord of the base, and let DE be the line of position of the cutting plane. Through any point f in D E draw hfg, at right angles to D E ; make the angle gfh equal to the inclination which the planes of the chord plane and sec- tion make with each other; take any point, m, in fg, Figure 4, orfh, Figure 5, and draw m h parallel tODE, cuttingfh in h, and m n parallel to C A, cutting D E at n,- makejh equal toj'k, and goin h n. Parallel to E C draw m g, cutting A C atp and n r, meeting it at r: makep 9 equal to m h, and join r 9. To find any point in the curve of the section, take any point, a, in the arc A B C ; draw a b parallel to q 7', cutting A0 at b ; draw b c parallel to C E, cutting D E at c, and draw c (1 parallel to n h ; make 0 d equal to b a, and the point d is in the curve. In the same manner, as many points may be found as will be sufficient to draw the curve with accuracy. This method is an improvement upon that published in The Carpenter’s Guide, in the year 1792 ; but as that method has been very generally employed, it will be well to insert it likewise in the plate, as the connection of the prin- ciple may be clearly deduced from the one to the other. Figures 6 and 7.— To find the section of the segment of a cylinder, by another and older method, supposing everything given as before—Let A B C, N o. 2, be the inclinations of the CYL 224 CYL planes of the chord plane and section. In No.2, draw BD perpendicular to BA, and make B D equal to the distance between the parallel lines E F and ZM, No. 1, and draw D C parallel to B A. Through any point, d in IK, No. I, draw N v at right angles to IK; make dN equal to D C, No. 2, and dV, No. 1, equal to BD, No. 2. In No. 1, draw N \ parallel to F E, meeting I K at O, and join 0V. Draw Ni, and 0 L parallel tOKF, meeting E F at Q and L; produce N Q, meeting z M produced at Y, and join L Y. Draw any number of lines a a, b I), c c, &c. parallel to 0 L, cutting the lines E F and I K, at the points a, b, c ; from the points a, b, c, in IK, draw the lines a 1, b 2, c 3, 8:0. parallel to 0 v, and through the points a, b, c, in EF, draw the lines a 1, b 2, c 3, &c., parallel to L Y. Make all the lines a 1, 62, c 3, &c., from I K, equal to their corresponding distances al, I) 2, c 3, 8:0. from E F. A curve being drawn through the points 1, 2, 3, &c., the extremities of the ordinates from IK, will give the section IVKI of the segment of the cylinder. Or take any point point L in E F, and draw L 0 parallel to F K, the one side of the rectangle, cutting 1K at 0 ; produce 0 L to M, and draw 2 M parallel to E F, to touch the base in M. In No. 2, draw B D at a right angle with BA ; make B D equal to L M, and draw D C parallel to B A. In No. 1, draw GH parallel to I K, at the distance D C, No. 2 ; draw 0N parallel to E F, cutting G H at N ; draw N Q parallel to 0 L, cutting E F at Q ; produce NQ to meet z M produced at Y, and join LY; draw N v at right angles to I K, cutting IK at d; make dv equal to B C, and join 0 v; then proceed to find the ordinates as before. The difference between the old and the first method is, that in the old method, the breadth of the segment or base of the solid is limited, in order to find the disecting lines of the ordinates, and two diagrams are employed in the construction ; whereas in the first method, one diagram only is used, and the angle of inclination of the planes of the section and chord being made as directed, the measure of the first side of the hypothenusal side of the right—angled triangle formed by it, is arbitrary; by this the other parts are regulated. The reader must observe, that it is only the angles which are required ; the length of the lines is of no other consequence than, if they be too long, they will be rather cumbrous, and if too short they will not be a sufficient guide for drawing the ordinates. This limitation has been the occasion of some not understanding the principle, by supposing the point V to be in the curve, which may be either on the one side or the other, according to this method. A knowledge of the sections of prisms, which include segmental cylinders, is an acquisition of the first importance to the carpenter and joiner, and is the very essence of the art of constructing hand-railings and groins. The method by having the position of the cutting plane, is not so well adapted to practice, as that of having three given points on the surface of the segmental cylinder. Under such given data, we have already shown how the section is to be found for a whole cylinder, by describing the curve through the extremities of the axis, which are given in position. We shall now show how the curve is to be obtained by ordinates in the segmental cylinder from the same data. In a segment of a cylinder are given three points, one on each common line of the chord plane, and curved surface, and one upon the intermediate curved surface itself, to find the section passing through these three points. Figures 8 and 9.—In both figures let AB C be the base of the solid, and A, B, C, the seats of the given points, draw A D and C E perpendicular to AC : make AD equal to the height of the point upon its seat A, and CE equal to the height of the point upon its seat C ; also from C E take C F equal to the height of the intermediate point, from its seat B. Draw FG parallel to A C, cutting D E in G ; draw G H parallel to E C, cutting AC at H ; join H B. Produce C A and E D to meet in I; in E I, Figure 8, also in E I produced Figure 9, take any point, N, and draw N M perpendicular to N E ; produce MN to meet I C at K, Figure 8 ; in Figure 9, MN . will cut C I, produced in K. In both figures draw K L per- pendicular to K C, and I L parallel to H B ; from I, with the distance I L, describe an are, cutting N M, at M ; join In. To find any point in the curve of the section ; take any point a, in A C, and draw a 6 parallel to L 1, cutting the are A B C at I), draw a 0 parallel to C E cutting D E in c ; draw 0 d parallel to I M : make 0 (1 equal to a I), and dis a point in the curve. In the same manner as many points may be found as will be sufficient to complete the section. Another method Figure 10, let A BC be the base of the segment, as before ; also, let A, B, C, be the seats of the three points, as before ; and F G H their respective heights. Draw A D, B P, C E, each perpendicular to A C, respectively equal to F, G, H ; draw A B 1 and D P I, also A C K and D E K; then draw the intersection I K. In D K take any point L, and draw L M perpendicular to D K; produce M L to meet A K at N; draw N 0 perpendicular to AK, cutting IK at 0. From K, with the dis- tance K 0, describe an are, cutting L M at M, and join K M. Then, to find any point d, in the curve of the section ; in A C take any point a; draw a [2 parallel to K 0, meeting the are A B C at b ; draw a 0 parallel to A D, meeting DE at c ,- draw 0 d parallel to KM, and make c d equal to a b; and thus for any other point. The very same description of words applies to Figure 11, except that the point L is inD K, produced,instead of between D and K, and also the point N, in A K produced, instead of between A and K. The same is also the case with the preced- ing method. Figure 12. To form the edge of the envelope of a cylindric surface, terminated by a line, so that, when the envelope is folded upon the cylindrie surface, the edge formed may coin- cide with a plane passing through three given points, one in each common line of the chord-plane and curved surface, and the other in the intermediate curved surface itself. Let A B C be the base of the solid ; draw A D and C E per- pendicular to A C, making A D equal to the height of the point, whose seat is A,and C E equal to the height of the point, whose seat is C; make C F on C E equal to the height of the point, whose seat is B, and join D E. Draw F G parallel to C A, cut- ting E D at G; draw G 11 parallel to E C, cutting C A at 11, and join 11 B. Divide the arc ABC into any number of equal parts, and extend them upon A C produced to I, marking the- points of division at a, I), c, &c., to I; the corresponding points of 1, 2, 3, &c., on the are C A B. To find any point in the line of the envelope required, sup-« pose that which corresponds to its seat 1, on the base of the solid. Draw 1 It parallel to B II, cutting A C in h ; draw I: ’3 parallel to C E, cutting E D at h ; also draw up parallel to CE, and make (2}) equal hit, thenp is a point in the line required ; and thus the whole line Ep q r st u v K is obtained, and this line is the edge of the envelope E C I K required. CYLINDER, Scaline. \Vhen the axis of a cylinder stands at oblique angles with its base, it is called ascaline or oblique cylinder. CYLINDRICAL, something peculiar, similar, or relating to a cylinder. CYLINDRICAL CEILING, a ceiling which is either a semi- cylinder, or a segment less than a semi-cylinder. Cylindrical ceilings are vulgarly called by some workmen. waggon-Ieeaded ceilings. W hen an apartment is sufliciently high, a semi-cylindrie CYLHNEE 331% . PLATE 1. \o X \ \\. A/ V°\ \/ i [71:1] . ' L 771/57le p? 1 1 i _ I - ‘ l I Jm/ ‘ltg/Z 0'1,ngqu ' ' .» /‘ | ‘ ~ ‘ - : 5 5 j finwx/PJ/gyfili . ’ ‘ = ! ‘ z . : r ‘ ‘ . . . .- ‘ z ()6 (L f- ”i ./ 7 AV /‘/) p4": / , // ,y ‘ ‘ ,1 } : I /' 1/ ,' . /,] { } l I i . i ‘ \ Elk/f 15‘} ‘ t [nwuzjfll Ely/.1". \ ; ‘ F1}! 1/ . :jizum/pim‘zmr ‘ 'H_i ‘ I"vt’l U 1: .. /« CYL 225 CYZ coving ought to be adopted. as it rises from the surface of the wall, which forms a tangent plane to the curvature at the springing of the arch; whereas the tangent plane at the springing of a ceiling, which is less than a semi-cylinder, always forms an angle with the plane of the wall, and excites ' the idea of lameness or imperfection. This kind is therefore only employed when the height of the apartment is not suffi- ciently great to admit of a semi-cylindric ceiling. A semi-cylindrical ceiling admits of being pierced by lunettes, which are windows or openings of less height than the ceiling, and consequently form cylindro-cylindric arches, by the intersection of the curved surfaces. N o traces of cylindrical ceilings are to be found among the ruins of Grecian edifices, but numerous instances are to be met with among the Romans, in their small temples and the side-branches of the larger ones. The ceiling of the temple. of JEsculapius, in the palace of Dioclesian, at Spalatro, in Dalmatia, is a decided instance. The proper decorations for cylindrical ceilings are coffers, separated at regular intervals by bands or arcs doubleux, or, as called by some, sofiits, which are enriched with guilloches. CYLINDRICAL COLUMN. See COLUMN. CYLINDRICAL VAULTING, a vault which is the portion of a cylinder. Its section is generally a semicircle, though sometimes, for want of room, it is a smaller segment. In cylindrical vaulting, the equilibrium of the arch and the horizontal thrust of the piers must be attended to. CYLINDRICAL WALLING, is that erected upon a circular plan, which of course forms a cylinder, or a portion of a Cylinder, according as the plan is an entire circumference, or only a segment. Cylindrical walling is generally estimated at about half as much more than the price of plain walling; but the price or ratio ought to depend upon the diameter, and should be greater as the diameter is less. CYLINDRICAL WORK, any kind of work, partaking of the shape of a cylinder, of any material, whether stone, brick, wood, &c. r , CYLINDRICAL WORK, in joinery. See J OINERY. CYLINDROID, (from xvhwdpog, cylinder, and 51509, form) asolid of such property, that all sections parallel to either end, are equal and similar ellipses, and that a straight line, called the axis, will pass through the centre of the ellipses. All the axal sections of a cylindroid, and every section parallel to an axal section, are parallelograms or rectangles. All parallel sections of a cylindroid are equi—angular, and of equal length to the axis. If an oblique cylinder be cut by a plane perpendicular to the axis, near to each end, it will be cut into three parts, of which the middle portion will be a cylindroid. The cylindroid is frequently employed in vaulting, instead of a segmental cylinder, less than the half, where the height would not admit of a semi-cylinder. It is frequently em- ployed in the composition of groins, and where the transverse openings vary in their horizontal dimensions, and where it is required to keep the angles of the groin straight, one of the simple vaults is necessarily a semi~cylindroid. The solidity of a cylindroid is found, as in the prism or cylinder, by multiplying the area of one of the ends by the distance between the two. The superficial content of the curved surface is found by multiplying the girt by the length of the axis, as in the cylinder. The method of finding the envelope is the same as that of 3 n a cylinder with an edge, so that when the envelope is lapped round the solid, its edge may coincide with a plane passing through three given points. The method of finding the envelopes of cylinders and cylin- droids, is one of the most useful parts of Stereography, not only in forming the coverings of bodies, but in forming the angles of all parts of work, where the surfaces of two difl'erent solids meet each other. CYMA-RECTA. See CYMATIUM. CYMATIUM, CIMA, CYMA, or SIMA, (from xvpanov, undula, the diminutive of xvpa, a wave) a moulding, whose sec- tion is a curve of contrary flexure; it is commonly denominated by workmen an ogee. This is the strict sense in which the term ought to be employed, though Vitruvius uses it for any subordinate moulding which terminates a principal member, and the particular form is specified by prefixing another word, as Doric cymatium, Lesbian cymatium. In the same sense also he uses the word Cysis, which signifies separation. But notwithstanding this great authority, in the general usage of the term we shall abide by the definition as above, signifying an undulated form, as being most generally understood. When the concave part of the moulding projects beyond the convex part, the cymatium is denominated a sima recta ,- but when the convex part has the greatest projection, the cymatium is denominated a sima-z'nnersa. The sima-recta is otherwise called gula-recta, or doucz'ne, and the sima-inversa, gula-inversa, or talon. Palladio distinguishes the cymatium of the cornice by the name intavolata. Our architects, in speaking of the uppermost member of a cornice, call it cima, cyma, or cymatium ; but we see no reason for the word being appropriated to this situation, as the propriety of terms con- sists in their proper application to definite forms. The cymatia which are particularized by the terms Tuscan, Doric, and Lesbian, mentioned by Vitruvius, are not defined by this ancient author, and their meaning is only guessed at by his commentators and readers. The Tuscan is supposed to be an ovolo, or quarter-round ; the Doric, an ovolo, or cavetto ; and the Lesbian, the sima- inversa, or talon. Philander makes two Doric cymatia, one of which, he says, is that said to be Tuscan. The projecture allowed to the Doric and Lesbian cymatia, is subduple of the height. CYMBIA, a fillet. See FILLET. CYPHERING. See CHAMFERING, which is most in use. CYZICEN E, TRICLINIUM, or HALL, an apartment of ancient Grecian houses, in the porticos, which look towards the north. It is thus explained by Vitruvius, book vi. chap. vi. “ There are some (802', not made in the Italian manner, these the Greeks call cyzicenus. They are situated towards the north, generally have a view of the garden, and have valved windows in the middle. They are of such length and breadth, that two triclinia, with their surrounding appen- dages, may be placed opposite to each other ; they have also valved windows on the right and left, that the garden may be seen through the space of the windows: their height is equal to one and one-half of their breadth.” The cyzicenus or cyzicena, were of the same use among the Greeks, that the triclinia and coenacula were among the Romans. O CYZICUM MARMOR, a species of marble, so called by the ancients, from the great use made of it by a statuary named Cyzicus. It was white, with fine narrow veins of black, and was also. called proconnessium. D A1 226 DAI DADO (an Italian word, signifying a die), a term for the die or plane face of a pedestal; that part of a room com- prehended between the base and surbase. The dado employed in the interiors of buildings, is a continuous pedestal, with a plinth and base moulding, and a cornice or dado moulding surmounting the die. This continuous pedestal with its mould- ing is sometimes only made of stucco or plaster ; but in well- finished rooms is constructed of wood, and is usually about the height of the back of a chair. Its present purpose, when em- ployed, is to protect the stucco-work or paper of the walls, but originally it was used as an architectural decoration to a room. The dado is made of deal boards, glued edge to edge, the heading joints ploughed and tongued together, and the back keyed ; the stuff generally employed for this purpose is whole deal; the keys are always made to taper in their breadth, and may be about three inches broad in the middle; they are let into the back of the dado by a transverse groove, which is either wider at the bottom than at the surface, or it is first made of a square section, which is again grooved on each side next to the bottom. Though the keys should shrink, those of this last form will always keep their inner surface close to the bottom of the grooves. Some workmen prefer the broad end of the key to be placed downwards ; the lower end should rest firmly, either upon the ground or floor, and the dado should be left at liberty to slide downwards upon the keys. Others again, prefer the wide end of the key to be placed upwards, and the dado to be fixed by this ; the key, as it shrinks, will fall down from its own weight. The dado should be grooved and tongued at the internal angles, and mitred, or made with'a lap and mitre, at the external ones. The dado is also framed with panels, but this mode is seldom seen in London; it is, however, very frequently so prepared in the country. DAGOUNG, or SumoAGON, temple of (signifying temple of Golden Dagon) an editice situated about two miles and a half north of Rangoon, the chief port of the Birman empire. It is a very elegant building, and though not so high by 25 or 30 feet, is much more ornamental than that of Shoemadoe, at Pegue. It is surrounded by a terrace, which stands upon a rocky eminence, considerably higher than the circumjacent country. The building is ascended by 100 steps, which are now very much in decay; its elevated situation 'makes it a conspicuous object for many miles. The top and the whole spire are richly gilt, so that when the sun shines, they exhibit a most splendid appearance. DAIRY, the name usually given to the place where the milk of cows is kept, and converted into butter or cheese. The occupation is sometimes called darg/ing; and the land which is chiefly appropriated to feed cows for this purpose, is called a dairy-farm. “A dairy-house,” observes a writer in the Penny Cyclo- paedia, “should be situated on a dry spot somewhat elevated, on the side of a gentle decl-ivity, and on a porous soil. It should be on the west or north-west side of a hill, if possible, or at least sheltered from the north, east, and south, by high trees. In some countries. where there are natural caverns with an opening to the west, and springs of water at hand, the best and coolest dairies are thus prepared by nature. Artificial excavations in the sides of freestone rocks are sometimes formed for the purpose of keeping milk, and more frequently wine. the requisite coolness in summer, and equal temperature in winter, which are essential in a good dairy, may be obtained by sinking the floor of the dairy some feet under ground, and forming an arched roofof stone or brick. In cold climates flues around the dairy are a great advantage in winter ; and an ice-house in warm summers is equally useful. But these are only adapted to those dairies which are kept more as a Where no such natural advantages exist, . luxury than as an object of profit. In mountainous countries, 5 such as Switzerland, where the summers are hot in the valleys, and the tops of the mountains or high valleys between them are covered with fine pastures, the whole establishment of the dairy is removed to a higher and cooler atmosphere, where the best butter and cheese are made. Coolness is also produced by the evaporation of water, an abundant supply of which is essential to every dairy. It is also a great advan- tage, if a pure stream can be made to pass through the dairy with a current of air to carry off the efiluvia, and keep the air continually renewed.” The dairy, in farm building, should be so situated, with respect to other offices, as to be convenient, and to prevent unnecessary labour. A milk dairy requires at least two good rooms, one for the reception of the milk, and another for the purpose of serving it out, and for scalding, cleaning, and airing the difierent utensils. The entrance to the dairy should communicate with the scalding-room, which should have a copper, for heating water and other purposes, placed in a shed adjoining, in order that the heat may be kept at as great a distance as possible from the milk. In the bottom of the copper is fixed acock, for conveying the hot water through a trough or pipe, across the scalding-room, in which another cock should be fixed, for the convenience of washing smaller utensils ; the heated water passes through the wall into the milk-leads, for the purpose of scalding the whole range of pans, trays, or coolers, and may be retained at pleasure. The trough for the passage of the water through the walls of the dairy, should be of' sufficient dimensions to admit the discharging a pailful of milk into it with safety, having a hair-sieve so placed in it, that: the whole of the milk of the cows may be made to pass: through it into the necessary trays or coolers, in which it is: to stand in order to keep it clean. A trough, pipe, or some other contrivance, should be introduced, for the purpose of conveying the waste milk, whey, &c. from the dairy-house to the cisterns containing the wash for the pigs. The temperature may be regulated either by double walls and roofs, or by means of hollow walls; and for common purposes, by having 8 or 10 inches in width from the wall to the lath and plaster, as is suggested by Mr. London, in his . ' 'reatise on Country Residences. The size of milk-houses should be regulated by the number of cows. The usual dimensions in the Gloucester dairy-' houses, for ~10 cows, are 220 feet by 16, and for 100 cows: ' 30 feet by 40. To accomplish the objects of convenience1 » the situation of the dairy should be near the cow-standings- .; so that the milk may be readily conveyed to them. See . wizrfi‘a A 5}” DETAELS. PLATE '05a 2W] ILIULILJLI Timmfiiififw "m r N‘,‘ , Unmfiuk'llr Mmuhlmrj N'3'l,l)k‘111il:s. NO 7). Ullmimml Blll‘lll'L‘SSV NU 4n IMHPCH'. ' ”IRE J I —_,.l N“ :1, Ulll‘lglfi'lllL NV ti, Hntfirx _ N5) 7. Unfilxwflll T1\lmrllIHHQ. N‘,’ U, Dormer. LON L) I ‘N i)” !U N'J'I N‘H L“. N1) .\"'/5 NE’ 1), W‘vafl Moulding”; N‘,)1(),Ux'ipstnllo. N‘.’ H {\‘C' 13,1§Q\‘ Ur'upx PH IU‘ISHING CWMJANY LLM ' ‘L'V l‘ \ v.1 ., ‘ 7” "My . , -_.. ,,, ”.7, 7‘ :w W 16 : N‘.‘ 1.3 Efllxjmfnml (‘n’mmlL _’~ N‘.‘ 1% {inun'ulalnxv- N‘.‘ 1:3, l‘lutrvsuh. DAI 227 DEA Dr. Young’s Calendar (f Husbandry, and Mr. Loudon’s Treatise on Country Residences. Gentlemen’s dairies are often built expensively, and highly ornamented; but they seldom unite all the conveniences essential to a good dairy, generally from a want of practical knowledge of the subject in those by whom they are designed. In Switzerland and Holland, the cow-house and dairy often have a very neat appearance within a short distance from the principal residence. In the common dairy-farms in Holland, the farmer and his family frequently live under the same roof with the cows ; in north Holland and Friesland, a cow- house is as clean as any dwelling-house, and the family often assemble and take their meals in it. The following description of a cow-house and dairy under one roof, [combines all that is useful, with considerable neat- ness internally and externally. “It is a building about sixty feet long by thirty wide, with a veranda running round three sides of it. The dwelling is not here attached, as it usually is in common dairies, and the building is not surrounded by a farm-yard; these are the only circumstances in which it differs from that of a common peasant. The dairy-room is sunk below the level of the soil, and is paved with brick. The sides are covered with Dutch tiles, and the arched roof with hard cement. The cow-house, like all in Holland, has a broad passage in the middle, and the cows stand with their heads towards this passage, which is paved with clinkers or bricks set on edge. Their tails are towards the wall, along which runs a broad gutter sunk six or eight inches below the level of the place on which the cows stand. This gutter slopes towards a sink covered with an iron grate, which communicates by a broad arched drain with a vaulted tank into which all the liquid flows. The gutter is washed clean twice a day before the cows are milked. The cows stand or lie on a sloping brick—floor, and have but a small quantity of litter allowed them, which is removed every day, and carried to the dung-heap, or to the pig-sties, to be more fully converted into dung. W’heneverthelitter is removed, the bricks are swept clean, and in summer they are washed with water.” In Holland, the cows never leave the house from November till May. In summer they are driven home to be milked, if in pastures near to the cow-house, but if the pastures are far off, they are milked there, and the milk is brought home in boats. This is thought not so good for the butter, which i is then churned from the whole quantity of the milk, without ‘ allowing the cream to rise. The finest butter is always made 'make this cream rise, be set as soon as milked. from the cream as fresh as possible, and the milk should, to The best quality of butter is churned from cream skimmed from the milk after six hours setting; an inferior kind, from a second v skimming. The utensils of the dairy, such as pails, churns, vats, &c. are usually made of white wood, and require to be kept, as does everything about a dairy, scrupulously clean and neat. Utensils of brass and tin are sometimes used; in Holland, the milk is invariably carried in brass vessels. There is some danger in the use of brass utensils, but a very little attention will obviate it. Cast-iron pans have been invented, tinned inside; but there is nothing so safe, or so neat, as well-glazed white crockery ware of the common oval form. A dairy for cheese, well constructed, should consist of four rooms: one for the reception of the milk; another for the scalding and pressing of the cheese ; a third for the purpose of salting ; and the fourth for stowing the cheese, which last may be a loft made over the dairy, though it is sometimes placed at a distance, which makes it inconvenient. The butter dairy should consist of three apartments, namely, a milk-room, a churning-room, and a room for the different utensils, and for cleaning and airing them in. The churning-room should be fitted up with the necessary apparatus. DAIS, or DEIS, the raised platform or wooden flooring which was laid at the upper end of a large hall or banqueting room, such as is still seen in college-halls, and in most of the halls belonging to the city-companies in London, and those of the inns of court. . In royal halls, there were more than one deis. At a. dinner which Charles V. of France gave to the emperor Charles IV. in 1377, there were five deis. The principal table in entertainments of state is always placed on the dais. Also a seat with a high back, and sometimes with a canopy, for those who sat at the upper table. Sometimes the canopy itself. DAM, a boundary or confinement ; as, to dam up, or, to dam out. DAM, a bank, or mole, constructed of stone, timber, or any other materials, for penning up water, in order to divert its course into another direction, for turning a mill, or other purpose. See EMBANKMENT. DAMPER, avalve inserted in a flue to regulate the draught. DANCETTE, a name applied to a moulding very fre- quently employed in Norman architecture, and otherwise termed the chevron or zigzag moulding. DARK TENT, a portable camera obscura, formed like a desk, and fitted up with optic glasses, to take prospects of buildings and fortifications. DATUM-LINE, the base line of a section from which all the heights and depths are calculated. DAY, or BAY, one of the lights or compartments in great windows of the pointed style of architecture, from mullion to mullion, clear of any intermediate one. In the Saxon and early Norman styles, windows of moderate dimensions were without mullions; but upon the introduction of the pointed arch, windows becoming long and narrow, two of these lancets placed together, in order to transmit a suf- ficient quantity oflight, suggested the idea of a single mullioned window, which therefore contained two days or bays. From this junction, windows with two or more mullions, and three or more days or bays, succeeded, until the number of days or bays were multiplied to seven, or even nine. The windows thus comparted, were decorated with an endless variety of tracery, consisting principally of trefoils, quatrefoils, Cathar- ine-wheels, &c. From the time of king Henry VIII., mullioned windows were superseded again by plain windows. And thus the rise and fall of the great eastern and western windows in our cathedrals. DEAD SHOAR. See SHOARING. DEAFENING, a term used in Scotland for sound board- ing ; sometimes also used in wooden partitions for the same purpose, viz. for preventing the communication of sound. DEAFENING, in plastering, a term used in Scotland, for PUGGING, which see. DEAL (from the Dutch, deel) the wood of the fir-tree, as cut up for the use of building, which is of two kinds, yellow and white. Deals are chiefly imported from Christiana, and other parts of Norway; from Dantzig, and several parts of Prussia; from Petersburg, Archangel, and various parts of Russia. They are sold by the piece or standard. In London, stuff that is kept on hand, consists generally of deals ofvarious lengths,most commonly three inches thick, and seldom exceeding nine inches wide. They are broken or cut down into various thicknesses, called boards or leaves, so that a deal will always have one out less than there are leaves. DEC 228 DEC When the leaves are thinner than half an inch, the deal will divide into five or more parts, and is therefore termed jive-cut stufi; and thus the qualifying word is applied according to the number of pieces. Whole deal‘is one inch and a quarter thick, and slit deal the half of that. Deals are formed by sawing the trunk of a tree into longitudinal pieces, of more or less thickness, according to the purpose they are intended to serve. They are rendered much harder by throwing them into salt-water as soon as they are sawn, keeping them in three or four days, and after- wards drying them by exposing them to the air: but neither this nor any other method will preserve them from shrinking. The quality and well-seasoning of deals are very essential to the construction of buildings. They are employed in naked flooring, partitions, the boarding of floors, doors, windows, architravcs, cornices, mouldings, dados, plinths, bases, surbases, wainscoting, linings, columns, pilasters, chimney-pieces, Sac. White deal should only be used for inside work, as in bed- chambers; it is less liable to shrink than yellow, and being a cheaper article, is to be preferred in panelling. Yellow deal, on account of its hardness, from being saturated with turpentine, is more fit to endure violence and exposure to the weather. DEBASED, a term applied to that style of English archi- tecture, so to speak, which succeeded the Late or Perpendicular Gothic, and in which some peculiarities of the Italian style began to be introduced. For more detailed information. See GOTHIC ARCHITECTURE. DECAGON (from 35m, ten, and 'yawt'a, an elbow or corner) a plane figure, with ten sides and angles. If all the sides and angles be equal, it is called a regular decagon, and may be inscribed in a circle: the method is thus: first de- scribe a pentagon, as is shown under that article; bisect each of the arcs, of which the sides of the pentagon are chords ; join every point of bisection to the extremity of each adjacent chord, and the decagon will be completed. If the side of a regular decagon be 1, its area will 5 .1. be—(5 + 2(5) )227.6942088. 2 To find the area of a regular decagon: multiply the square of the side by 7.6942088, and the product will give the area: or, for practical use, multiply the square of the side by 7.6942. Example. What is the area of a decagon, the side of which is 25 feet ? 25 25 125 50 625 7.6942 1250 2500 5625 3750 4375 4808.8750 equal the area required. This figure may also be measured by the general rule of finding the superficial content of any polygon whatever. See Potreox. DECAHEDRON (Greek, 5cm, ten, and eBpa, a base.) A solid figure contained by ten sides. DECAMETRE (Greek, 551m, ten, and perpov, measure,) a French linear measure containing ten metres, and equal to 393.71 English inches. DECANICUM, a prison in which ecclesiastical ofl‘enders were confined. DECASTYLE, or DECASTYLOS (from the Greek, 35m, ten, and qvAog, a column) a colonnade, or front of a portico, consisting of ten columns. DECEMPEDA (from the Greek, Bermrovg; or from the Latin, decem, ten, and pes, pedis, foot) a ten-foot rod, used by the ancients : the foot was subdivided into twelve inches, and each inch into ten digits. This rod was used by archi- tects to give the proper dimensions and proportions to their buildings. Horace (lib. ii. 0d. 15) blaming the magnificence and delicacy of the buildings of his time, observes, that it was otherwise in the times of Romulus and Cato; that in the houses of private persons, there were not then known any porticos measured out with the decempeda, nor turned to the north to take the cool air. The decempeda was also used in land-measuring, in the same manner as our chain. DECIMAL (from the Latin, decimus) any number in- creasing by the order of tens. DECIMAL ARITHMETIC, the art of computing by fractions whose denominator is 10, 100, &c. Decimal fractions differ from vulgar_fractions in this; that the denominator is not written ; instead of writing 1-46, or 71556, the fraction would be written decimally, .4 or .15. The decimal point before it is used to distinguish it from whole numbers. To reduce any vulgar fraction to a decimal, say, As the denominator of the vulgar fraction is to the denominator of the decimal, so is the numerator of the vulgar fraction to the numerator of the decimal. Example. To reduce % to a decimal fraction, whose denominator is 10. It will then be as 3 :10 :: 2 10 3) 20 6 so that 6 is the numerator required: but then there is a remainder of 2, consequently the numerator is more than 6, but less than 7 3 therefore {'5 is the nearest decimal fraction, whose numerator consists of a single unit. In order to come nearer to the truth, we must then suppose the denominator of the decimal to be divided into more parts, say 100. Then again 3 100 : : 2 2 3) 200 66 but here is still a remainder of 2, that is, 66 is too small and 67 too great, therefore the decimal fraction 16666, is still too small; 66 is, however, a greater portion of 100, than 6 is of 10: we have therefore come nearer to the truth in the latter operation than in the first. We shall thus find, that if the number arising by multiplying the denominator of the decimal fraction by the numerator of the vulgar fraction, be not divisible by the denominator of the vulgar fraction, an increase of the denominator of the decimal will give a more DEC 229 DEC exact portion of the unit, than when fewer figures are used ; and thus, if worth the trouble, the numerator of a decimal fraction may be found to any degree of exactness at pleasure, by augmenting the number of figures in the denominator, either till the division terminate, or till as many figures be found as will render the operation sufficiently exact for the intended purpose. A decimal fraction may be sufliciently denoted, by throw— ing away the denominator, and using any character or mark instead of it, since the denominator is always 1, followed by one, two, three, or a series of ciphers, which is the only thing that is variable ; to ascertain this point, the number expressed by the numerator, is always less than the denominator, and always consists of as many figures as there are ciphers; therefore, if a point be placed before the numerator of a decimal fraction, it will show that the number following it is a decimal fraction, and by reckoning a cipher for every figure, and supposing unity placed before them, the number thus expressed will show how many decimal parts the unit is divided into, and the figures themselves that portion of these parts taken. ' Thus '10 is represented by .6 JL ..................... .66 [00 L” ..................... .785 IUOO 3"; ..................... .085 1000 But instead of saying 66 hundredths, 785 thousandths, &c., say, as in the second, 6 tenths and 6 hundredths ; as in the third, 7 tenthS, 8 hundredths, and 5 thousandths ; and as in the fourth, 8 hundredths and 5 thousandths, as the cipher, 0, occupies the place of tenths ; 6 6 66 f“ 16+W)_T, DQ, upon A II. The horizontal projections of the ‘two points of contact will therefore be found upon the two right lines CP, D Q. But in the retrograde movement of the per- pendicular plane, the two tangents J C K’, J K D do not cease to pass through the respective points of contact; and when this plane is returned to its primitive position, the point J is projected anew in G, and the two tangents are projected according to the right lines G K’, G K. The two latter, there- fore, must each contain one of the points of contact ; and, in fine, the intersections of these two right lines with the respective lines 0 P, DQ, will determine the horizontal pro- jections, R, s, of the two points of contact, which are found in the same line with the point N. “ To obtain the vertical projections of the same points, first, draw the indefinite perpendiculars K 1‘, s 3, upon L M ; then by projecting the points K, K’, to k, k’, and drawing the linesg k, g 13', from the point 9, we shall have the vertical projections of two similar tangents. These lines, therefore, will contain the projections of the respective points of contact ; and the points, 1', s, of their intersection with the vertical lines R 7', 83, will be the projections required. “The horizontal and vertical projections of the two points of contact being found, to construct, upon the horizontal plane the traces of the two tangent planes, lines parallel to the given right line must be conceived to pass through each of the points of contact. These lines will be in the respective tangent planes, and their horizontal and vertical projections will be obtained by drawing R U, S v, parallel to E F, and r u, so, parallel to efl On the horizontal plane, construct the trace, T, of the given right line, and the traces, U, V, of the two last lines ; and the lines '1‘ U, T v, will be the traces of the two tangent planes. “ Instead of supposing fresh lines to pass through the points of contact, we may find the traces of the two tangents GR, G s, which will answer the same purpose. As to the traces of two similar planes with the vertical plane, they may be obtained by the method already so often alluded to. “This solution may be rendered much more elegant by making the two planes of projection pass through the centre of the sphere itself. By this mode the two projections of the sphere would be mingled in the same circle, and the produc- tions of the right lines would not be so long. We have only separated the two projections for the sake of perspicuity in the exposition : for it is easy to give to the construction all the conciseness of which it is susceptible. “ Second Method. Figure 17. Let A, a, be the two pro- jections of the centre of the sphere ; A n, or a 12, its radius ; B CD, the projection of its great horizontal circle ; and E F, of; the projections of the given right liuc. Conceive the plane of the great horizontal circle produced till it cut the given right line in a certain point, and we shall have the vertical projection of the plane, by drawing the indefinite horizontal line bag through the point a ; the point {1, where this horizontal line cuts ef, will be the vertical projection of the point of coincidence of the plane with the given right line ; and we shall have the horizontal projection, G, of this point by projecting g upon E F. “ This done, take the same point for an apex, and conceive a conic surface covering the sphere, all whose generating lines touch it in their respective points ; now, we shall have the projections of the two horizontal generators of such conic surface, by drawing from the point G, the two lines G c, G D, tangent to the circle B C D, and which will touch it in the two points 0, D, as may be easily determined. The conic surface will touch that of the sphere, whose line CD will be the diameter, whose plane will be perpendicular to the axis of the cone, and consequently vertical, and whose horizontal pro— jection will be the line C I). “If from the given right line two tangent planes to the conic surface be conceived, each of them will touch it, according to one of the generating lines, which will be at the same time on the conic surface and on the plane; and since such generating line also touches the surface of the sphere in one of its points on the circumference of the circle projected in C D, it follows, that this point is at once on the conic surface, on the plane which touches it, on the surface of the sphere, and 011 the circumference of the circle pro- jected in C D, and that it is a point of contact common to all these objects. Hence we may conclude, lst, That the two planes tangent to the conic surface, are also tangent to the surface of the sphere; 2dly, That their points of contact with the sphere, being in the circumference of the circle projected in C D, must be themselves projected on some part of this right line ; 3dly, That the right line passing through the two points of contact, being comprised in the plane of the same circle, must also be projected indefinitely upon C D. “ \Ve next proceed to an operation, for the plane ofa large circle parallel to that of the vertical projection, similar to that which we have just finished for the great horizontal circle. The horizontal projection of such plane will be the right line B A H, indefinitely parallel to L M; the point wherein it meets the given right line will be horizontally projected to the intersection, H, of the two right lines E F, B A n; and its vertical projection will be obtained by projecting the point II upo‘n ef, in h. Conceive a new conic surface, whose apex shall be in this point of coincidence, and which, like the former, shall cover the sphere; and we shall have the vertical projections of the two extreme generating lines of such surface, by drawing from the point It, to the circle bK I, the tangents h K, It I, which shall touch it in such points, K I, as we may determine. This second conic surface will touch that of the sphere, in the circumfh'ence of a new circle, of which KI will be the diameter, and of which the plane, perpendicular to that of the vertical projection, will, consequently, be projected indefinitely upon K I. The cir- cumference of this circle will likewise pass through the two points of contact of the sphere with the tangent planes required; whence the vertical projections of those two points of contact will be somewhere upon K I; and the right line by which these two points are united, will also be projected upon the same line K 1. “Thus the right line drawn through the two points of contact, is projected horizontally upon CD, and vertically upon KI; it meets the plane of the great horizontal circle in a point, whose vertical projection is at the intersection, 71, of K1 with ba g, and whose horizontal projection may be obtained by projecting the point n upon C D. “ This done, suppose the vertical plane of the circle, pro— jected in CD, to turn upon its horizontal diameter, as upon a swivel, so as to become horizontal, and that it draw with it, in its movement, the two points of Contact, through which its circumference passes, and the right line by which those two points are united. Construct this circle, in its new position, by describing upon C D, as a diameter, the circle 0 1’ DQ; and if the position assumed by the line uniting the two points of contact be constructed, it will cut the circum- ference C 1) DQ in two points, which will determine them upon this circumference considered 111 its horizontal position. “ The point, N, of the line of the UH) contacts, being upon the swivel C D, does not change its position by the move- ment: this line must, therefore, pass through such point when it has become horizontal. Besides, the point in which J. DES 249 DES it meets the plane of the great circle, parallel to the vertical projection (a point whose horizontal projection Is in the coincidence, o, of the two lines CD, BAH, and whose ver- tical projection, t, is found by projecting the point 0 upon K 1) describes in its movement upon the swivel C D, a quarter of a circle perpendicular to CD, whose radius is the vertical line 0 t; if, then, a line be drawn through the point 0, per- pendicular to c D, and if upon such perpendicular o t be transferred, from 0 to T, the point ’1‘ will be one of those of the line of contact, when it becomes horizontal. Therefore, if a line be drawn through the points N and T, its two points of coincidence, P, Q, with the circumference CP D Q, will be the two points of contact considered in the vertical plane, when laid down. “ To obtain the horizontal projections of the same two points in their natural positions, imagine the circle C DPQ to be returned to its original station, by turning on the same swivel CD. In this movement, the two points P, Q, will describe quarter—circles in the vertical planes perpendicular to o D, whose horizontal projections will be the perpen- diculars P Q, R s, dropping upon 0 D. The horizontal pro- jections of the two points of contact will then be respectively upon the lines PQ and Rs; and as we have seen that they must likewise be upon C D, they must, consequently, be upon the two points of coincidence R and s. “The vertical projections, r, s, of the same two points may be obtained, by projecting the points R and 3 upon K I; or, which amounts to the same, by transferring upon the vertical lines Br, 83, beginning from the horizontal line ba 9, r' r, equal to P R, and s' .9, equal to Q s. “ The horizontal and vertical projections of the two points of Contact being constructed, the traces of the two tangent planes may be determined according to the method of the first solution. “This second solution may be rendered much more con- cise, by making the planes of projection pass through the centre of the sphere ; which would reduce the two projec- tions to one figure. “These latter considerations lead us to the discovery of some remarkable properties of the circle, of the sphere, of conic sections, and of curved surfaces of the second degree. “It has been seen, that the two conic surfaces bounded by a sphere, would each touch it in the circumference of a circle, and that their circumferences would both pass through the two points of contact of the Sphere with the tangent planes. This property is not peculiar to the two conic sur- faces that we have considered, but applies to all such as have their apex in the given right line, and are circumscribed by the sphere. If, therefore, we suppose a prime conic surface, which, having its apex upon the given right line, is bounded by the sphere; and if this Surface be supposed to move so as that its apex may run along the right line without ceasing to be contained within, and tangent to the sphere; it will in any of its positions touch the Sphere in the circumference ofa circle: all which circumferences will pass through the same two points in which the sphere comes in contact with the two tangent planes ; and the planes of these circles will intersect each other upon one right line, which is that of the two contacts. If now the plane be conceived as drawn from the given right line, and from the centre of the sphere, it will pass through the axes of all the conic surfaces, will be perpendicular to the planes of all the circles of contact, consequently to the right line that is their common intersec- tion, and cut all these planes in right lines that will pass through one point. “By reciprocity, a sphere and a right line being given, 3 s if a number of planes, taken at pleasure, be conceived as passing along the right line, which shall cut the sphere, each in the direction of a circle; and if, for each of such circles, a right conic surface be conceived, of which it shall be the base, and which shall be confined within the sphere, the apices of all such conic surfaces will be another identical right line. “By merely considering what happens in drawing the plane from the given right line, and from the centre of the sphere, we are led to the two following propositions, which are immediate corollaries of what has preceded. - “Figures 18 and 19.—Given in a plane, a circle, whose centre is A, and any right line whatever, as B C; if, after having drawn from a point, as D, of the right line, two tangents to the circle, and the line E F connecting the points of contact, the point D be supposed to move along the right line B 0, drawing with it the two tangents, without ceasing to touch the circle ; the two points will shift their position, as well as the line E F, by which they are united, but the latter will always pass through the same point, N, upon the perpendicular, A G, dropped from the centre of the circle upon the right line B C. “ And, reciprocally, if, through a point, as N, taken in the plane of a circle, a number of lines, as E F, be drawn at pleasure, each cutting the circumference of the circle in two points ; and if through these two points two tangents to the circle, ED, F D, be drawn, to meet in a point, as D, all the other points of intersection, found in the same manner, will be upon the same right line, B C, perpendicular to AN. “ It is not because all the points of the circumference are equally distant from the centre, that the circle possesses the V property just described ; but because it is a curve of the second order, and has all its conic sections of the same quality. “ Figure 20.——For example, let A E B F be a conic section of any kind, and CD any given right line upon its plane: iuppose the curve to turn upon one of its axes, A B, to gene- rate a surface of revolution, and imagine the two tangent planes to this surface drawn from the right line C D; the two planes will each have their particular point of contact. Now take for an apex, any point whatever, as H, of the right line CD, and conceive the conic surface contained Within, and tangent to the revolving surface, and it will touch the latter in a curve that must necessarily pass through the same two points of contact as the tangent planes. This curve will be plain; its plane, which will be perpendicular to that of the given conic section, will be projected upon the latter, accord- ing to the line E F; and this line will pass through the points of contact of the tangents with the conic section, drawn from the point II. Now, suppose the apex, n, of the conic surface to move along the right line C D, without ceasing to be contained within, and tangent to the revolving surface; in any of its positions, its curve of contact will possess the same properties of passing through the two points of contact with the tangent planes, of being plain, and of having its plane perpendicular to the conic section. The planes, there- fore, of all the curves of contact will touch the ends of the line that unites the two points of contact, which is itself perpendicular to the plane of the conic section, and hence the projections of all the planes will be right lines that must all touch the ends of the projection, N, of the line, by which the two points of contact are joined. “ This proposition is only a particular case of another more general one, that takes place in the three dimensions, and which we shall be content with announcing in this place. . “ Any curved surface whatever, of the second degree, and DES 250 DES a conic surface contained within, and touching it, whose apex is a point chosen at pleasure, being given in space; if the conic surface move without ceasing to be contained within, and to touch the curved surface, but so as that its apex be kept in a right line, the plane of the curve of con- tact of the two surfaces will always pass upon one right line (which will be determined by the contacts of the surface of the second degree with the two tangent planes that pass along the line of the apices); and if the cenic surface move so as that its apex be always in the same plane, the plane of the curve of contact will always pass upon the same point. “ Second Question—From a given point, to draw a plane tangent to the surfaces of two given spheres. “ Solution—Figure 2l.—Let A, a, be the two projections of the centre of the first sphere; B, 6, those of the second ; and C, 0, those of the given point. After having drawn the indefinite lines A B, a b, which are projections of the line that would pass through the two centres, and having constructed the projections G E F, 9 cf, H I K, II Hit, of the great circles of the two spheres parallel to the planes of projection, con- ceive a conic surface containing the two Spheres within it, and touching them both at the same time; the apex of this surface will be in the line which passes through the two cen- tres. Then draw to the two circles GEF, HIK, the two common tangents E H, F K, meeting in the point D, of the right line A B; this point will be the horizontal projection of the apex of the cone, whose vertical projection, also, will be obtained by projecting the point D to d, on the production of a 1). Lastly, draw the projections C D, c d of the right line passing through the apex of the cone and the given point. Now, if from this latter line two tangent planes be conceived to the conic surface, they will each touch it in one of its generating lines, and consequently will both be tangent, at the same time, to the two spheres. The question is therefore reduced to drawing two planes tangent to the surface of one of the spheres, from the right line that passes through the apex of the cone and the given point; which may be done as in the preceding question, and the two planes will also be tangent to the second sphere. “ It must here be remarked, that the same two spheres may be supposed to be contained within two conic surfaces. The first conic surface will envelope them both on the out- side, and will have its apex on the outside of one of the spheres, with respect to the other, and the tangent planes to it will touch the two spheres on the same sides. The second conic surface will also envelope both spheres, but will have its apex between the two centres. The horizontal projec- tion, D’, of this apex will be found by drawing to the circles E F G, H I K, the two interior tangents, which intersect each other in a point of the line A B ; and its vertical projection by projecting the points D’ to d’, upon a b. The two tangent planes, drawn to this conic surface will also each touch the two spheres; but they will touch the first on one side, and the second on the other. Thus, four different planes may answer this question: for two of them, the two spheres are on the same side of the plane ; and for the two others, they are on different sides. “ Third Question—To draw a plane tangent at the same time to three spheres of given dimensions and positions. “ Solution—Imagine the plane tangent at the same time to the three spheres; suppose, also, a conic surface contain- ing the two first of those spheres, and tOuching them both; and the tangent plane will touch such conic surface in the whole length of one of its generating lines, and pass through the apex of the cone. If a second conic surface be supposed, containing the first and third spheres, the same tangent plane will also touch it along the length of one of its generating lines, and will consequently pass through its apex. Lastly, if a third conic surface be conceived, enclosing and touching the second and third spheres, the tangent plane will still touch it along one of its generating lines, and pass through its apex. Thus the apices of the three conic surfaces will be in the tangent plane; but they will also be in the plane which, passing through the centre of the sphere, contains the three axes : they will therefore be in two different planes at the same time ; consequently, they will be in a right line. Hence it follows, that if the horizontal and vertical projec- tions be constructed, as laid down in the preceding question, of which two will be sufficient, the projection of a line found upon the tangent plane may be made to pass through them. The question is therefore reduced to the drawing from a given right line, a tangent plane to that of the three spheres sought for, which may be done by the preceding methods, and this plane will be tangent to the two others. “ It must be observed, that, as we may always imagine, for any two spheres, two conic surfaces which envelope and touch them both, the first having its apex on the outside of one of the centres, with respect to the other, and the second having its apex between the two, it is evident, that in the preceding question there will be six conic surfaces, of which three will be on the outside of the three spheres, taken two by two, and three will have their apices between the spheres. The apices of these six cones will be distributed, three and three, upon four right lines, along each of which may be . drawn two planes tangent at the same time to the three spheres. Thus eight different planes are sufficient for this question : two of which touch the three Spheres on the same side relatively; and the other six are so disposed as to touch two of the spheres on one side, and the third on the other. These considerations lead to the following proposition: “ Figure 22.—Three circles whatever being given in posi- tion and magnitude on a plane, if, considering them two at a time, exterior tangents be drawn to them, produced till they intersect each other, the three points of intersection, D, E, F, so obtained, will be in a right line. “ Here, if we imagine the three spheres, of which these circles are the great circles, and a plane that touches them all three exteriorly, such plane will also touch the three conic surfaces contained within the spheres, considered two by two, and pass through their three apices, D, E, F ; but these three apices are likewise upon the plane of the three centres ; therefore they are on two different planes, and consequently in a right line. “ If to the same circles, considered two by two, interior tangents be drawn, intersecting each other, the three new points of intersection, G, H, I, will be, two by two, in a right. line with the three first; so that the six points D, E, F, G, H, 1,. will be the intersections of the four right lines. “ This question is only a particular case of the following, which applies to all the three dimensions. “ The size and position of any four spheres being given in space, if the six conic surfaces circumscribed exteriorly by them, considered two by two, be conceived, the apices of the six cones will be in the same plane, and at the intersections of the four right lines; and if the other six conic sections, circumscribed interiorly by them, viz., that have their apices between the centres of the two spheres, be conceived, the apices of the six latter cones will be, taken three by three in the same plane with three of the former. “Fourth Question—From an arbitrary point, to draw 3 tangent plane to a given cylindric surface. “ Solution—Figure 23. Let E 1 F K be the trace of tin cylindric surface on the horizontal plane; a trace that w. 15;”. M L l) H; ‘ S (7 11M ETHVE $5 1156le E TRY. F137. M. 143;. :23. , [24711; 1/. 'M M TH E LON DON PTtTT‘T'Y‘ I l" .} A?! I J ”‘J ”.1 "3 JUN." "Nymr f) DES Let A B, a b, be the two given projec— tions of the right line, to which the generating line should always be parallel ; and o, 0, those of the given point. . Con- ceive from this point a parallel to the generating line, it Will be in the tangent plane required, and the pomts where it cuts the planes of projection will be upon the traces of the tangent plane. Then if from the point C, C D be drawn parallel to A B, and from the point a, c d parallel to a b, we shall have the two projections of this right line ; then, hav1ng produced cd till it meet L M in the point d, if the point d be projected to D, upon CD, the point D will be the coincidence of this right line with the horizontal plane, and consequently a pomt of the trace of the tangent plane. Now, the horizontal trace of the tangent plane ought to be tangent to the curve E 1 F K, therefore, if from the point D we draw to such curve all the tangents possible, as D E, DF, 8:0. we shall have the horizontal traces of all the tangent planes that can possibly pass through the given point. By drawing from the points of contact E, F, 8:0. to AB, the indefinite parallels E G, F II, &c. we shall obtain the horizontal projections of the generat— ing lines, wherein the different planes touch the cylindric surface. Lastly, we shall have the vertical projections e g, fh, 8w. of these generating lines, or lines of contact, by projecting the points E, F, 8L0. upon the vertical plane, to c,f, 8m. and by drawing from these latter points indefinite lines parallel to a b. As to the traces of the tangent plane upon the vertical plane, they will be found in the working of Figure 12. “ Fifth Question—From an arbitrary point, to draw a plane tangent to a given conic surface. “The solution of this question differing but little from that of the preceding one, we shall only refer to the Figure 24, where the curve E G F H, is the given trace of the conic surface ; A, a, are the given projections of the apex; and c, c, those of the given point, through which the tangent plane must pass. “ Sixth Question—From a given line, to draw a tangent plane to a given revolving surface. “ Solution—Figure 25. Suppose the axis of the revolv- ing surface to be perpendicular to one of the two planes of projection (which will not weaken the general application of the Solution, because we always retain the power of disposing of the position of these planes so as to make them conform to suppose to be given- , this rule); let A be the given horizontal projection of the axis of the surface ; aa’, its vertical projection ; up 2' a’, the generating curve of the surface ; and B C, b c, the two given projections of the line along which the tangent plane should pass. From the point A drop the perpendicular AD upon B C, and it will be the horizontal projection of the shortest distance betWeen the axis and the given right line ; and pro- ject the point D to d, upon I) 0. “Now, suppose the tangent plane to be drawn, and the given right line to turn about the axis of revolution, without shifting its distance from it, or its inclination upon the horizontal plane, drawing with it the tangent plane, so that the latter may still touch the surface : in consequence of such increment, it is evident, that the point of contact of the surface with the plane will change its position ; but since the tangent plane uniformly preserves the same inclination, the point of contact will not change its altitude above the surface, and it will move in the circumference of a horizontal circle, Whose centre will be in the axis. The given right line, also, will generate by its movement a second revolving surface around the same axis, to which the tangent plane will itself be tangent in every position. “ If we suppose a plane through the axis, and through the point of contact of the tangent plane with the first surface, it 251 DES a will cut the generating line in a point wherein the same tangent plane will come in contact with the second ; for besides the generating line, along which it passes in this point, it also passes along the tangent of the horizontal circle to the same point, since it likewise passes along the tangent of the horizontal circle to the point of contact with the first surface, and therefore, from the known property of revolving surfaces, these two tangents are parallel. “As we wish to resolve the question by means of the second re' ilving surface, it becomes necessary to construct the curve according to which it would be cut by a plane drawn from the axis : here we will suppose such plane to be parallel to the vertical plane of projection, and consequently projected on the horizontal plane in a right line, A F, parallel to L M. “Take upon the given right line, any point whatever, whose projections are E, e, and seek for the point wherein it would meet the plane of the section it its movement. Here the point will describe around the axis of revolution, the arc of a horizontal circle, whose horizontal projection will be obtained, by describing from the point A, as a centre, and at the interval A E, the are E F, till it meet the right line AF, somewhere in a point, as F ; the vertical projection of the same are may be had by drawing from the point e, the indefinite horizontal line 8 f The point F, then will be the horizontal projection of the coincidence of the describing point with the plane of the section ; therefore, by projecting the point F to f, upon 6f; the pointfwill be the vertical projection of this coincidence, and consequently a point of the section. By repeating the same operation for as many other points as may be wanted, taken on the given right line, we shall have so many points, g,f,r, 72, through which the curve required must pass. “ Next imagine the given right line, and the tangent plane, by their simultaneous rotation about the axis, to have arrived at a position wherein the tangent plane would be perpendi- cular to the vertical plane of projection. Here the projec- tion on this plane would be a right line, tangent at the same time to both the curves a’ 5;) a, g 7‘ 72f; and if all the com- mon tangents, as g 2', 721), be drawn to these two curves, we shall obtain the projections of all the tangent planes required by the question, considered in the position they have assumed, when in the course of the rotation they have suc- cessively become perpendicular to the vertical plane. The points of contact, 2);), of these tangents with the generating line of the first surface will determine the height of those of each surface with all the tangent planes : therefore, if from these points the indefinite horizontal lines it, p8, be drawn, they will contain the vertical projections of the points of con- tact of the surface with the planes : and if from the point A, as a centre, and with the radii respectively equal to it, p s, the arcs of a circle, 1 K, P Q, be drawn, such arcs will contain the horizontal projections of the same points. To complete the discovery, it only remains to determine upon what meridians of the revolving surface they ought to be found, to which end the points of contact, 9, n, will be subservient. “For this purpose, project the points 9,72, upon AG, to G, N ; from the point A, as a centre, with the intervals suc- cessively equal to A G and A N, describe the arcs G H, N 0, till they intersect the right line B C in the points H, 0 ; these arcs will express the quantity of the rotation, which for each tangent plane, the right line passing through its contacts with the two surfaces has been obliged to make, in order to trans- port itself into the vertical plane parallel to that of projection. We have, therefore, the horizontal projections of the same right lines, considered in their natural positions, by drawing from the point A the lines A H, A o ; and the points, K, Q, where DES 252 DES the latter lines intersect the correspondent arcs I x, P Q, will be the horizontal projections of the points of contact of the first surface with the tangent planes drawn along the given right line. “ The vertical projections of the same points will be obtained by projecting the points K, Q, to k, q, on the respective horizontal lines it, p s. “ The horizontal and vertical projections of the points of contact being determined, the traces of all the tangent planes may be constructed by methods similar to those already described. “ This mode may be easily generalized, and applied to any surfaces generated by curves of determinate forms, and mutable as to their situation in space.” 0f the Intersections of curved smfaces. “ When the generations of two curved surfaces are posi- tively determined and understood; when the course of all the points of space through which they pass is no longer arbitrary for either; when for each of these points, one of its two projections being taken at pleasure, the other may be always constructed ; if these two surfaces have any points in space common to them both, the positions of all such common points is absolutely determined; it depends on the form of the two curved surfaces and their respective positions ; and is of such a nature as to be always capable of being deduced from the definition of the generations of the surfaces. of which it is a necessary consequence. * “ The course of all the points common to two determinate curved Surfaces, forms in general a certain curved line in space, which, in very particular cases, may be found upon a certain plane, having but a single curvature; which, in instances infinitely more peculiar, may become a right line, without any curve ; and lastly, in cases still more rare, may resolve itself into a mere point: but which, in the general, is what is denominated a curve of double curvature, because it ordinarily partakes of the curvatures of two curved sur- faces, upon each of which it is found at the same time, and forms their common intersection. “There exists between the operations of analyses and the methods of descriptive geometry, a correspondence, of which it is here necessary to give an idea. “In algebra, when a problem is put into equations, and we have as many equations as unknown quantities, we can always obtain the same number of equations, in each of which there enters but one of the unknown quantities; whence we gain a knowledge of the value of each of them. The operation by which this is performed, is called elimina- tion, and consists in expelling, by means of one of the equa- tions, one of the unknown numbers from all the other equations; so that by thus successively expelling all the different unknown numbers, a final equation is obtained, containing only one, whose value it ought to produce. “ The object of elimination in algebra bears a close analogy to those operations in descriptive geometry, by which the intersections of curved surfaces are determined. “For example: suppose that in considering a point in space, and representing, by x, y, z, the distances from this point to three rectangular planes between them, a relation be established between these three distances, and that it be expressed by an equation, wherein the three quantities x,y, z, and fixed quantities enter. By virtue of this relation, the position of the point would not be determined; for the quan- tities x, y, 2, may change their value, and consequently the point may vary in its position, without destroying the relation expressed by the equation ; and the curved surface which passes through all the positions that the point may thus occupy, without abating the relation established between the three co-ordinates, is that to which the equation belongs. “ Thus, suppose a sphere, whose radius is expressed by A, have its centre in the point of intersection common to the three rectangular planes; and that in considering a certain point on the surface of the sphere, perpendiculars be sup- posed to fall from such point upon the three planes, and to be represented by the letters as, y, z ; it is evident that the radius of the sphere, directed to the point under considera- tion, will be the diagonal of a rectangular parallelopiped, whose three arétes will be 1‘, y, z; that its square will be equal, to the sum of the four squares of the four arétes ; and that we shall thus have the equation x2 + y” + z’ : A’. Now, should the point change its position on the surface of the sphere, its distances at, y, 2, as to the three rectangular planes, would vary also; but its distances as to the centre would remain unaltered, and the sum of the squares of its three co-ordinates, which is always equal to the square of the radius, would still retain its first value : we should therefore have the relation between the co-ordinates of this point expressed by the equation :1." + y’ + z2 = A”. This equa- tion, which answers for all the points of the surface of the sphere, and for them only, is that of the surface itself. All curved surfaces have, thus, each its equation; and though it be not always easy to express it in such simple quantities as the distances 1‘, y, 2, it is always possible to obtain it in more complex quantities, such as the inclinations of tangent planes, or the radii of curvatures : but it is sufficient for our present purpose to have conveyed our meaning by one example. “ If now, having, in w, y, z, the equations of two different curved surfaces, and supposing that for the points of the. two surfaces the distances be taken to the same rectangular ; planes, we eliminate one of the three quantities :r,y, z, the ‘ latter, for example, from the two equations; we establish“ first, by the similarity of these two equations, that which‘ does not belong indiscriminately to all the points of the first ' surface, nor to all those of the second, with which we are, occupied, but only to those of their intersection, for which each of the two equations ought to serve, because they are: upon the two surfaces at the same time. Secondly, the1 equation in w, 3/, which results from the elimination of z, expresses the existing relation between the two distances for all the points of intersection, whatever may be the dis- tance 2, which has disappeared, and about which there is no longer any question in the equation; it is therefore theE equation of the projection of the intersection of the two: surfaces upon the plane perpendicular to z. “ Hence we discover that in algebra, the design of elimi- nation among many equations with three unknown qualities, is to determine, upon the three planes to which all space is referred, the projections of the intersections of surfaces to which the equations appertain. l “The similitude between the operations of analysis and the methods of descriptive geometry, are not confined to the ‘ instance just given, but. prevails in every situation. Inf working generating lines of any description in space, what- ever movements be given to points, curved lines, or surfaces, 5 they may always be governed by analytical operations; and the new objects which they originate, are expressed by that 1 very results of such operations : on the other hand, there is no operation of analysis in three dimensions, but what is the expression of a movement operated in space, and ruled by it. . To obtain the most advantageous acquaintance with the mathematics, the student should early accustom himself to perceive the existing analogy between the operations of DES _ 2 3 DES analysis and those of geometry : on the one hand, he should be able to write down all the movements that he can con- ceive in space, in one analytical method ; and on the other, to perpetuate upon his memory, the object movmg in space, of which each of the analytical operations is the expression. “We now return to our subject, viz., the mode of deter- mining the projections of the intersections of curved surfaces. “ To present the exposition of this method in a clearer light, we shall not at first disclose it with all the elegance of which it is susceptible, but proceed towards it by degrees. And here it may be premised, that the exposition will be general, and applicable to any two surfaces whatever; and that though the letters used refer to the Figure 26, which shows the particular case of two conic surfaces, with circular bases and vertical axes, the reader should keep in mind, that the surfaces under consideration may be, each one in par- ticular, any other than conic surfaces. “ First general problem—The generating lines of two curved surfaces being known, and all the given lines which fix such generators being determined on the plane of projec- tions; to construct the projections of the curve of double curvature, according to which the two surfaces intersect each other. “ Solution.—Figure 26. Conceive a series of indefinite planes, conveniently disposed in space ; such planes, for example, may be all horizontal, as in fact we shall suppose them in the first instance. Here the vertical projection of each of them will be an indefinite horizontal right line ; and as we are not restrained from drawing them at arbitrary distances, we shall suppose in the vertical projection as many horizontal lines, ee', e e', ee’, 8w. as we please, and that the series of these lines is the vertical projection of the series of planes at first conceived. This done, work successively, for each of such planes, and relatively to the line e e', which is its projection, the operation we are about to lay down for the one among them, that is projected in E E’. “ ' ‘he plane E 19' will intersect the first surface in a certain curve, which will be easily constructed, when we are acquainted with the generation of the surface ; it being the course of the points in which the plane E E’ is intersected by the generating line in all its positions. This curve being plain and horizontal, will haveits horizontal projection equal, similar to itself, and placed in the same manner ; it is there- fore possible to construct such projection, and here we shall suppose it to be the curve F G H I K. “The same plane, E E’, will likewise cut the second sur- face in another plain horizontal curve, whose horizontal projection may also be constructed, as by the curve F 0 G. “ It may happen, that the two curves, wherein the same plane, EE’, intersects the two surfaces, may intersect each other, or they may not : if they do not intersect each other, however much produced, it proves that, at the height of the plane E E’, the two surfaces have no common point ,' but if these curves do intersect each other, they will do so in a certain number of points common to the two surfaces, which are consequently so many of the points of intersection required: and according as the intersecting points of the two curves are upon the first or second of them, so are they upon the first or second of the surfaces proposed ; therefore, if they be upon the two curves at once, they are also upon the two surfaces. “ As the horizontal projections of the points wherein the two curves intersect each other, should be found both on the projection of the first, and on that of the second ; the points 1“, G . . . . of the coincidence of the two curves F G 11 I K, and I" 0 G, will be horizontal projections of as many points 3 T of the required intersection of the two curved surfaces To obtain the vertical projections of the same points, observe that they are all comprised in the horizontal plane E E’, and that their projections must fall upon the line E E’. There- fore, by projecting the points, F, G . . . . upon E E’, to]; g. . . . we shall have their vertical projections. “ By pursuing the same operation for all the other hori- zontal lines, 9 e’, ee’, we shall obtain for each of them, in the horizontal projection, a series of new points, F, G ..... , 850., and in the vertical projection, another new series f; g . . . . 8w. Then if the branch of a curve be passed through all the points F . . ., another branch through all the points G. . . . ., and so of the rest, the concourse of all these branches which may possibly meet one in another, will be the horizontal projection of the two surfaces; in like manner, if through all the pointsf. . . . a branch of a curve be passed, through all the points 9 . . . . another branch, and so of the others, the concourse of all these branches, which may likewise possibly meet one in another, will be the vertical projection of the intersection required. “ This method is general, even supposing a system of planes to be chosen which intersect a series of horizontal planes. But we shall see, presently, that in certain cases, the choice of the system of intersecting planes is not indifferent, that it may sometimes be so made as to be productive of systems more easy and more elegant ; and that it may even be more advantageous, instead of a system of planes, to adopt a series of curved surfaces, which vary from each other only in one of their dimensions. “ To construct the intersection of two revolving surfaces, whose axes are vertical, the most advantageous system of planes, is a series of horizontal planes ; for each of such planes intersects the two surfaces in the circumferences of circles whose centres are upon the respective axes, whose radii are , equal to the ordinates of the generating curves, taken at the i height of the intersecting plane, and whose horizontal projec- l tions are circles of known size and position. Here all the points of the horizontal projection of the two surfaces are found by the intersections of the arcs of a circle; and we are aware, that if all the revolving surfaces had their axes relatively parallel, but not vertical, it would be necessary to change the planes of projection, and so to choose them as that one of them should be perpendicular to the axes. “ Were it required-to construct the intersection of two conic surfaces, with whatever bases, whose traces on the horizontal plane were given or constructed, the system of horizonal planes would demand operations too tedious for the example: for each of the horizontal planes would intersect; the two surfaces in curves, which, though very nearly resem- bling the traces of the respective surfaces, would not be equal to them; they must be constructed by points, each by itself; whereas, if after having drawn a right line through the given apices of the two cones, the system of planes passing along such right line he adopted, each of the planes will cut the two conic surfaces in four right lines; and these right lines, which will be in the same plane, will cut each other, inde- pendently of the apices, in four points upon the intersection of the two surfaces. In this case, each of the points of the horizontal projection of the intersection will be constructed by the intersection of two right lines. “ For two cylindric surfaces, of whatever bases, whose generating lines are diversely inclined, the system of hori- zontal planes would not be the most eligible that might be, adopted. They would, indeed, each cut the two surfaces in l curves similar and equal to their respective traces ; but the } curves that did not correspond vertically to the traces would 1' have for their projections, curves, that would be distant from l i l l l i i DES 254 DES the traces themselves, and which it would be necessary to construct from points. But were choice to be made of the system. of planes parallel at the same time to the generating lines of the two surfaces, each of such planes would cut the two surfaces in right lines, and these lines would cut each other in points appertaining to the intersection of the two surfaces. By this means, the points of the horizontal projec- tion would be constructed by the intersections of right lines. Indeed, this is but a necessary consequence of what has been said relative to the case of two conic surfaces. “ For two revolving surfaces, having their axes in the same plane, but not parallel to each other, the system of spherical surfaces having their common centre in the point of coincidence of the two axes, would be preferable to that of planes ; for each of the spherical surfaces would cut the two revolving surfaces in the circumferences of two circles, hav- ing their centres upon the respective axes, and their planes perpendicular to the plane drawn along the two axes: the intersecting points of these two circumferences, which would be at the same time on the spherical surface and upon the two revolving surfaces, would belong to the intersection required. Thus the points of the projection of the intersec- tion would be constructed by the coincidence of the circles with the right lines ; in which case the most advanta- geous position for the two planes of projection is to have one perpendicular to one of the axes, and the other parallel to both. “ These few observations, with respect to such curved sur- faces as most frequently meet together, will suffice to show how the general method should be employed, and how, by a knowledge of the generation of curved surfaces, that species of sections may be adopted which will yield the most ready constructions. “ When the respective form and positions of two curved surfaces are defined, not only is the curve of their intersec- tion in space determined, but also all the affections of these curves immediately follow. Thus, for example, in each of their points the direction of their tangent is determined: it is the same as to their normal plane, viz., of the plane that cuts the curve in a right angle, and which is, consequently, perpendicular to the tangent at the point of intersection. As we shall have frequent occasion to consider planes normal to curves of double curvature, we shall not here enter into any detail as to their determination ; for as they are always perpendicular to tangents, it is enough to have given the mode of constructing projections of tangents to the intersec- tions of curved surfaces. “ Second general Problem—From a point taken at plea- sure upon the intersection of two curved surfaces, to draw a tangent to such intersection. “ Solution. The point chosen upon the intersection of two curved surfaces, is at the same time upon both such surfaces. If then, from this point, as considered on the first surface, a tangent plane be drawn to such surface, it will touch the intersection in the point in question. So, likewise, if from the same point, as considered on the second surface, a tangent plane be drawn to such surface, the plane will touch the inter- section in the point under consideration. The two planes, then, will touch the intersection in the same point, which will also be one of their common points, and consequently one of those of the right line in which they intersect each other: therefore, the intersection of the two tangent planes will be the tangent required. “ From this problem arises the following observation, which is of great utility in descriptive geometry. “ The projection of the tangent of a curve of double cur- vature is itself tangent to the projection of a curve; and its point of contact is the projection of that of the curve of double curvature. “ Thus, if from all the points of the curve of double cur- vature, perpendiculars be supposed to fall upon one of the planes of projection, as upon the horizontal plane, for exam- ple, all such perpendiculars will be upon a vertical cylindric surface, which will be cut by the horizontal plane in the very projection of the curve. In like manner, if, from all the points of the tangent to the curve of double curvature, ver- tical lines be supposed to drop, they will be in a vertical plane, intersected by the horizontal plane in the projection of the tangent. Now, the cylindric surface and the vertical plane evidently touch each other in the whole extent of the ver- tical line dropped from the point of contact, and which is common to them both: the intersections, therefore, of the cylindric surface, and of the plane along the horizontal plane, touch each other in a point that will be theintersection of the line of contact of the cylindric surface and the vertical plane. Consequently, the projections of a curve of double curva- ture and of one of its tangents will touch each other in a point that is the projection of the point of contact of the curve. “ We shall now proceed to apply what has been said to some particular cases; and to begin with simple considera— tions, we shall first suppose one of two surfaces to be a plane, whose intersection we would .determine. “ First Question—To construct the intersection of a given cylindric surface with a plane of a given position. “ The position of planes of projections being arbitrary, we will first suppose, what is always possible, that these two planes have been so chosen as to have one perpendicular to the generating line of the surface, and the other perpendicular to the cutting plane ; for in this supposition the construction is much more easy ; and then to give to students a habit of making projections, we will suppose the two planes of pro- jection in any other manner. “ Solution. First case, in which the generating line of the surface is supposed to be perpendicular to one of the planes of projection, as to the horizontal plane, for example, and the cutting plane perpendicular to the other. “ Figure 27.——Let A be the horizontal projection of the right line, to which the generating line of the cylindric sur- face should always be parallel ; a a" its vertical projection ; B C D E, the given trace of the cylindric surface, which being the horizontal projection of the indefinite surface, is conse- quently that of the curve of intersection ; letfg be the given vertical projection of the cutting plane, which will also be that of the intersection required; and F G the horizontal trace of the same plane. It is evident, that if we draw to the curve BCDE, and perpendicular to LM, the indefinite tangents E e”, C c”, the right lines e e”, c 0", will be the vertical projections of the generating line, in its extreme posi- tions ; and that the points 6’, c’, in which they intersect the projection,fg, of the cutting plane, will terminate uponfg, the vertical projection of the required intersection. “ N ow, if from a point taken arbitrarily upon the intersec- tion (a point whose horizontal projection will be a point, H, taken at pleasure on the curve B CD E, and whose vertical projection may be had by projecting the point 11 in 1", upon fg) we would draw to this intersection, it is also evident that such tangent should be comprised in the cutting plane, and that its vertical projection would be the right linefg ; also, that it would be comprised in the vertical tangent plane to the cylindric surface, and that its horizontal projection, which will be the same with that of the tangent plane, would be the right line F II n, tangent in II to the given curve BC DE. Thus all is determined as to the intersection required. DES 255 DES “ Now, should it be required to construct this intersection such as it exists in its plane, and from one of its points, taken at pleasure, to draw a tangent to it : if the vertical plane of projection be at too great a distance from the curve B C D E, we may suppose another vertical plane, parallel to it, passing through the interior of the curve B c D E, and whose hori- zontal projection should be the right line E C, parallel to L M. This vertical plane will intersect the cutting plane in a right line parallel to its projection f g, and upon which, as upon a hinge, we will suppose the cutting plane to turn, to become vertical, and to present in full front the curve required. Then, from as many points, II, as may be thought convenient, taken arbitrarily upon B C D E, suppose vertical planes perpendicular to the vertical plane of projection, whose horizontal and vertical projections will both appear at the same time, in drawing through all the points H, the right lines H J K i 2" per- pendicular to LM. Each of these planes will intersect the cutting plane in a horizontal line, perpendicular to the hinge, whose vertical projection will be the point of coincidence, z", of two right lines fg, it”. In- each plane this horizontal line will meet the hinge in a point, whose horizontal projection will be the intersection, J, of the two right lines E .0, H J K ii’ ; and will also meet the curve required in points, whose hori- zontal projections will be the intersections H, K, of the right line H J i i' with the curve B C D E. In a word, this right line and all its parts will be equal to their horizontal projections. Now, when the cutting plane turns upon the hinge, to become vertical, all these right lines, Which were at first horizontal, remain perpendicular to the hinge, and do not vary in size. Therefore, if through all the points 2", we draw indefinite per- pendiculars, h k, to f g, and if upon these perpendiculars J H be transferred from 2" to h, and J K from i’ to k,we shall have as many points, It, It, as we wish for, through which the required curve, e'k c’ It, may be drawn. “ The curve being constructed in its plane, if it be required, from one of its points, It, taken arbitrarily, to draw a tangent to it, we may obtain the vertical projection of such point, by dropping from the point k, uponfg, the perpendi- cular In" ; and its horizontal projection, by projecting z" in II upon the curve B C D E ; we shall have the horizontal pro- jection of the tangent required, by drawing the right line F N tangent in II to the curve B CD E ; and it will be sufficient to bring into the plane of the curve any point whatever of the tangent ; as that, for example, which is projected on the point N taken arbitrarily, and whose vertical projection is uponfg in (1'. Now, in making our deductions upon this point, as upon every other of the cutting plane, it cannot but be obvious, that if through the point a’, we draw tofg the perpendicular a’ n and that if upon this right line we transfer from a to n the distance N A from the point N to the right line E C, the point n will be the second of the tangent. Therefore by drawing the line h n we shall have the tangent required. . “Whatever curve be given to BCDE, we see that the intersection e’ It 0’ ll possesses the property ofhaving for either of its points the sub-tangent a’ 72 equal to the sub-tangent A N of the first. This property, which is very well known in the cnzclc and ellipsis, when those two curves have a common axns, arises, with respect to them only, from their being the intersections of one cylindric surface through two dif- ferent planes. “Lastly, it may occur, that we shall want to trace upon the development of the cylindric surface, the effect of the section made by the cutting plane. For this purpose, after havang developed the curve BCDE, with all its divisions, “P0" a right line RQ ; if indefinite perpendiculars be drawn tln-o-ugh all the divisions of BQ, we shall have, upon the J development of the surface, the traces of the different posi tions of the generating line, and we shall then only have to transfer upon these perpendiculars the parts of the corres- ponding generating lines, comprised between the perpen- dicular section B C D E, and the section made by the cutting plane. Now, these parts of generating lines are equal to their vertical projections, and these projections are all terminated, on one hand, by the right line L M, and on the other byfg, If then the point H, for example, fall in 5, upon the line R Q, by transferring ii’ upon the perpendicular passing through the point s, from s to T, the point '1‘ will be, upon the developed surface, that where the generating line, which passes through the point II, is intersected by the cutting plane. The curve XTYZ, which passes through all the determinate points in the same manner, will be the curve required. “ It is obvious, that were the tangent produced from the point H till it meet the horizontal trace, G F, of the cutting plane, somewhere in a point, F; and that if H F were trans- ferred upon R Q, from s to U, the right line TU would be tan- gent to the curve; for when the cylindric surface is developed, its elements do not alter their inclination with respect to the horizontal plane. “ Second Case, wherein the cylindric surface and the cut- ting plane are supposed to be in any manner whatever with respect to the two planes of projections. “ Solution—Figure 28. Let A A’ and a a’ be the two pro- jections of the right line, to which the generating line should be parallel; C E D F, the given trace of the cylindric surface; and H G, h b, the traces of the cutting plane. “ Conceive a series of planes parallel to the generating line of the cylindric surface, and also perpendicular to one of the planes of projection, as the horizontal plane, for example: each of such planes would be projected upon a right line, 0 K E, parallel to A A’, cutting the surface in right lines that would be so many positions of the generating line, and would meet the horizontal plane in the points of intersection, E, F, of the line OKE with the curve CEDF. By projecting, therefore, the points E, F, upon LM, in e, j; and drawing through these latter, to the right line a a’, the parallels ee’,ff’, the vertical projections of the intersections of the surface with each of the planes parallel to the generating line will be obtained. “ The same planes will likewise intersect the cutting plane in right lines, parallel to each other, all whose horizontal traces will be upon the different points, 0, of the line HG, and whose vertical projections will be also parallel to each other. To obtain these projections, we must first find the direction of one of them, of that, for example, which corres- ponds to the vertical plane drawn from AA’. With this View, produce A A’ till it meet, on one hand, the trace of the cut- ting plane in a point N, and on the other, the right line L M, in a point B, and by projecting the point B in I) on 116, the two points N and b will be, upon the two planes of projection, the traces of the intersection of the cutting plane with the vertical one. By projecting the point N in 72 upon L M, and drawing the line n6, it will give the vertical projection of this intersection. By projecting on L M all the points, 0, in which the trace GII is cut by the projections of the vertical planes, which will give a series of points a, and drawing from the latter the parallels 0 He, to n b, the vertical projec- tions of the intersections of the cutting plane, through the whole series of the vertical planes, will be obtained. Lastly, the points of coincidence, 2', k, of each right line o 2']: With the projections e efff, of the sections made in the cylindric Slll'e face by the corresponding vertical plane, will be the vertical projection of the intersection required; and the curve that ’— DES 256 DES would pass through all the points, i, k, thus determined, would be that projection. By projecting the points 2', k, in J, K, on the projection, 0K E, on the corresponding vertical plane, we shall have the horizontal projection of the same points, and the curve, KJP, that would pass through all the points so determined, would be the horizontal projection of the intersection. “In seeking the tangents of these two projections to the points J, i, it must be recollected that such tangents are projections of the tangent to the intersection. Now, the latter tangent being at the same time in the cutting plane and in the tangent plane to the cylindric surface, it must have its horizontal trace in the intersection of the horizontal traces of the two planes: the trace of the tangent plane is also the tangent in F to the curve C EDF. Therefore, by drawing this tangent, and having produced it till it meet the trace of the cutting plane in a point G, drawing the right line GJ, we shall have the latter line touching, at the point J, the horizontal projection of the intersection. And by pro- jecting the point G upon LM in g, and drawing the right lineg i, we shall obtain the tangent, in 2', of the vertical projection of the same curve. “ Should it be required to construct the curve of the intersection as it is in the plane, suppose the cutting plane to turn upon its horizontal trace H G, as upon a hinge, and applying itself to the horizontal plane. In this movement, each of the points of the section, that, by way of example, which is projected in J, will describe an arc of a circle, whose plane will be vertical, perpendicular to H G, and whose indefinite projection will be obtained by drawing through the point J a right line, RJ 5, perpendicular to H G; conse- quently, when the plane is laid down, the point of the section will fall somewhere "pon a point of this right line. To discover the distance ,' such point from the hinge: as the horizontal projection of this distance is J R, and the difference of the heights of its extremities is the vertical line i s; ifJ R be measured upon L M, from s to 7', the hypothenuse r 2' will be such distance. Then by measuring rz' upon R J, from R to s, the point 5 will be one of the points of the intersection considered, with its plane laid down upon the horizontal plane, and the curve 8 T U l. drawn through all the points 8 constructed alike, will be the intersection itself. “ To obtain the tangent of this curve to the point 5, it is sufficient to observe, that in the movement of the cutting plane, the tangent does not cease to pass through the point G of the hinge; therefore, by drawing the right line SG, we shall-have the tangent required. “ Second Question—To construct the intersection of a 'conic surface, of any given base, by a plane given in p051tion. “ Solution—Here we may suppose, what is always possible, the vertical plane of projection to be placed perpen- dicular to the cutting plane. “ Fzyure 29.—Let A, a’, be the projections of the apex of the cone, or of the centre of the conic surface; BCD E the trace of such surface on the horizontal plane; fg the vertical projection of the cutting plane ; and Gfits horizontal trace. Suppose from the apex of the cone a series of planes, per- pendicular to the vertical plane of projection; the vertical projections of such planes will be the right lines a’c, drawn from the projection of the apex : and their horizontal traces will be the right lines c C, perpendicular to L II, which will cut the trace of the conic surface somewhere in the points 0, C’. These planes will cut the surface in right lines, whose vertical projections will be the lines a' c . . . ., and whose horizontal projections will be obtained by drawing from the point A, the lines o A, C’ A . . . . ; the same planes will j likewise intersect the cutting plane in lines perpendicular to the vertical plane. The projections of such lines will be the points, [z . . .,' of coincidence offg, with the lines a' c . . . ; and their horizontal projections will be obtained by dropping, from the points It . . . ., upon' L M, the indefinite perpendiculars It H . . . . This done, the lines ll 11 . . . . will cut the correspond- ing lines CA, 0’ A . . ., in points, H, H' . . . ., which will be the horizontal projections of so many of the points of intersection required ; and the curve, P H QH’, that would pass through all the points thus constructed, will be the projection of the intersection. “ To draw a tangent to this curve, from a point 11, fixed upon at pleasure, it is only requisite to find upon the hori- zontal plane the trace of the tangent of the intersection in a point corresponding to H. This trace must be upon that of the cutting plane, and consequently on Gf; it must also be upon that of the plane touching the conic surface in the right line, whose projection is A H : and if A H be produced till it meet the curve BCDE somewhere in a point C, the tangent, C F, of this curve, in the point C, will be the hori- zontal trace of the tangent plane. The point, F, of coinci~ dence of the two traces f G, CF, will therefore be upon the tangent in the point, H, of the curve PH Q 11'. “ Should it be required to construct the intersection con- sidered in its plane, we may indefinitely suppose either that the cutting plane turns upon G]; as upon a hinge, in order to apply itself to the horizontal plane, and so construct the curve in the position it will thus assume; or that it turns upon its vertical projection fg, to apply itself to the vertical plane ; the latter is the hypothesis we shall here adopt. “ All the horizontal lines in which the series of planes drawn from the apex has intersected the cutting plane, and which are perpendicular to f y, do not change their size in the movement of the cutting plane, nor do they cease to be perpendicular to fg: if then indefinite perpendiculars be drawn through all the points 12, tofg; and if upon them the corresponding horizontal lines KII, KH', be measured and applied from It, to N and N', the points N, N’, will be those 0f % the section ; and the curve RNSN', drawn through all the points thus constructed, will be the intersection considered in its plane. “ From all that has been said, it appears evident, that, to draw to this curve a tangent in a point, N, taken arbitrarily upon it, the perpendicular Nil. must be dropped from the point N uponfg; that the right line a’ It must be produced till it meet L M in the point 0 ,- that this point must be pro- jected in C, or the curve B C D E ; that the tangent must be drawn to such curve in C, cutting the trace Gf somewhere in a point, F; and that Ff must be carried perpendicularly tofg, fromfin 0. The right line 0 N will be the tangent . required. “ As to the mode of constructing the development of the conic surface, of whatever base, and of tracing thereon the effect of the intersection with the cutting plane, we shall proceed to describe it, after having spoken of the intersection of the conic surface with that of a sphere having its centre in the apex. “ To construct the intersection of two conic surfaces with . circular bases, whose axes are parallel to each other. i “ Solution.—Figure 26. As it would be superfluous here ; to repeat what has already been said in treating of the general ' method, of which this figure was a type ; we shall only i observe, that in the case now before us, as well as in that of two revolving surfaces, of whatever description, the sections i made in the two surfaces by the horizontal planes, are circles; ' but we shall enter upon some details relative to tangents. of which we have not yet had occasion to speak. DES “ To discover the tangent to the point D (Figure 26) of the horizontal projection of the intersection, wehmust recollect that it is the projection of the tangent of .the intersection of the two surfaces, in the point corresponding to .D, and that to determine it, it is only necessary to find the Pomt s, thh is, upon the horizontal plane, the trace of the tangent of the intersection. This latter tangent is in the two planes which touch the conic surfaces in the point 0f intersection ; there- fore, by finding the horizontal traces Rf, Q q, of these two tangent planes, they will by their comc1dence, determine the point 8. But the plane tangent to the first surface touches it in a line that passes through its .apex, Whose horizontal projection may be obtained by drawing the indefinite right line AD. And if AD be produced till it. meet the horizontal circular trace of the surface, TQUV, in a point, Q, such point will be a point of the line of contact between the sur- face and the plane ; consequently, the horizontal trace'of the plane will be tangent in Q to the circleT Q U v: let this tan- gent therefore be drawn, as Q g. In like manner, by produ- cing the radius B D till it meet in R the circular horizontal trace, RXYZ, of the second surface, and drawing to this circle the tangent in R, the line R?“ will be the horizontal trace of the plane tangent to the second surface. And if from the point, s, of the intersection of the two tangents Q q, R r, the right line 8 D be drawn, it will give the tangent, in the point, D, of the horizontal projection of the intersection. “ With respect to the tangent to the corresponding point, d, of the vertical projection, it is obvious that it may be obtained by projecting the point 5 in s, and by drawing the line 3 d, which will be the tangent required. “It may happen to be necessary to construct upon the development of one of the conic surfaces, perhaps, even upon that of each of them, the effect of their mutual inter- section ; as, for example, if we were obliged to fabricate the cones of flexible substances, such as metal plates: in this case we must operate for such cone in the manner we are going to prescribe for the first. “Before we proceed, let it be observed, that when a conic surface is developed so as to become a plane, the right lines that are upon it, change neither their form nor size, because each of them is successively the hinge upon which the development acts ; so that all the points of the surface remain always at the same distance from the apex. And when, as in this case, the conic surface is direct and circular, all the points of the circular horizontal trace are at equal distances from the apex ; they must, therefore, be also at an equal distance from the apex upon the development, and consequently upon the arc of a circle, whose radius is equal to the uniform distance of the apex from the circular trace. And if, after having taken an arbitrary point to represent the apex on the development, the arc of an indefinite circle, whose radius is equal to a C, be described, having such point for its centre, it will also be indefinitely the development of the horizontal trace of the surface. Then, by measuring the arc of the circle TQ on the are just described, beginning from the point T of the trace from which it is designed to begin the development, the position of the point Q upon the development will be determined; and the indefinite right line drawn from this point to the centre of the development, Will be the position occupied by the right line of the surface prejnected in AQ, and upon which the point D, d, of the section referred to will be found. To construct this point, it only remains to discover its distance from the apex, and to measure it upon the indefinite right line, beginning from the centre of the development. In order to this, draw the 11.01'12031tal line die, from the point d in the vertical projec- tion, till it cut the side a c of the cone, in a point It, and the 3 U 257 DES . line ak will be the distance sought for. By constructing, in like manner, all the other points of the intersection, suc- cessively, and passing a curve through them, the intersection of the two surfaces described upon the development of the first surface will be found. Proceed in the same manner for the second surface. “Fourth Question.—-—To construct the intersection of two conic surfaces, of whatever bases. “ Solution—Figure 30. Let A, a, be the projections of the apex of the first surface ; C G D G’, its given trace upon the horizontal plane ; B6, the projections of the apex of the second surface; and E H F H’, its trace on the horizontal plane. Suppose a right line passing through the two apices, whose projections are the indefinite lines A B, a b, and whose trace, 1, may be easily constructed upon the horizontal plane Along this line conceive a series of planes, eacli cutting the two conic surfaces in the system of several right lines ; and such of these right lines as shall be in the same plane will determine, by their intersections, so many points of the intersection of the two surfaces. The horizontal traces of all the planes of this series will necessarily pass from the point I; and since the position of these planes is besides arbitrary, their traces may likewise be taken arbitrarily, by drawing from the point I, a number of lines, I K, at pleasure, by each of which the following operation may be worked for either of them. “ The trace, K I, of each of the planes of the series will cut the horizontal trace of the first conic surface in points, GG’, which will also be the horizontal traces of the right lines, according to which the plane cuts the conic surface : him A G, A G', will be the indefinite horizontal projections of these lines, and their vertical projections will be obtained by projecting G, G’, in g, g’, and drawing the indefinite lines ag, ag’. So, likewise, the trace, K I, of the same plane of the series will cut the horizontal trace of the second conic surface in points, H, 11’, from which if B H, BH’, be drawn indefinitely, the horizontal projections of the lines will be obtained, according to which the same plane of the series will cut the second surface ; and their vertical projections may be had, by projecting H, 11', in It, IL’, and drawing the indefinite lines I) ll, 5 /L'. “This done, for the same plane, whose trace is KI, we shall have on the horizontal projection a certain number of lines, A G, A G’, B H, B H’ ; and the points, P, Q, R, s, in which those belonging to one of the surfaces, meeting those belong- ing to the other, will be the horizontal projections of so many points of the intersections of both surfaces. Thus, by work- ing successively, in the same manner, upon the other lines K I, we shall find new series of points, P, Q, R, s; and by after- wards passing through all the points 1’, a first branch of a curve, through all the points Q, a second, through all the points R, a third, &c., we shall have the horizontal projection of the intersection required. “ In like manner, for the same plane, whose trace is K I, we shall have upon the vertical projection a certain number of lines ag, ag’, b it, 611’, whose points of intersection will be the vertical projections of as many points of the inter- section. “ Here let it be remarked, that it is not necessary to con- struct the two projections independently of each other, and that having constructed a single point of one of them, it may be projected in the other upon one of the lines that ought to contain it : hence we acquire means of verifying the operation, and of avoiding, in certain cases, the intersections of lines which cut each other in angles too oblique. “ To find the tangents to the horizontal projection, that, for example, which touches it in the point P, we must DES 258 DES construct the horizontal trace, 'r, of the tangent of the intersection in the point corresponding to P. This tangent is the intersection of the two planes which touch the conic surfaces in that point; its trace, therefore, will be in the coincidence of the horizontal traces with such two tangent planes. And as A G’ P is the projection of the line of contact of the plane which touches the first surface, the trace of such first plane will be the tangent to the curve C GD G', in the point G’ : let then G’ T V be that tangent. So likewise B H’ P is the horizontal projection of the line of contact of the plane that touches the second surface ; and as the horizontal trace of the second tangent plane will be the tangent, in the point 11’, of the curve E H F H', let H'T U be such tangent. The two tangents G’ V, 11' U, will intersect each other in a point, T, from which if the line TP be drawn, we shall have the tangent in the point P, as required. ‘ “ By proceeding in like manner with the other points Q, R, s, we shall find, first, that the tangent in Q must pass through the point of coincidence of the tangents in G’ and H; secondly, that the tangent in R must pass through the coincidence of those in H and G; and, thirdly, that the tangent in 5 must pass through the coincidence of those in G and H'. Tangents of the vertical projection are attended with no difficulty, when those of the horizontal projection are once determined; for by projecting the horizontal traces of the tangents of the intersection, we have the points through which they must pass. “ Fifth Question—To construct the intersection of a conic surface, of any base, with that of a sphere. “ We shall here suppose the two surfaces to be concentric, that is to say, the apex of the cone placed in the centre of the sphere, because we shall have occasion for such a dis- position in the following question. “ Solution—Figure 31. Let A, a, be the projections of the common centre of the two surfaces ; B C D E, the given hori- zontal trace of the conic surface; a m, the radius of the sphere; and the circle lfg’m, the vertical projection of the sphere. Suppose from the centre common to the two surfaces, a series of planes, which may likewise be conceived to be all perpendicular to one of the two planes of projection : in the Figure 31, we have supposed them to be vertical. Each of such planes will cut the conic surface in a system of right lines, and the surface of the sphere in the circum— ference of one of its great circles; and for each plane, the coincidence of these lines with the circumference of the circle will determine the points of the intersection required: draw, therefore, from the point A as many indefinite right lines, C A E, as you please, and they will be the horizontal projec- tions of so many vertical planes in the series, and, at the same time, those of the lines according to which these planes cut the two surfaces. Each right line C A E, will intersect the horizontal t 'ace B C D E of the conic surface in points, C, E, that will be the horizontal traces of the sections made in this surface by the corresponding plane ; and if, after having projected the points C, E, upon L )I, in c, e, the lines a c, a e, be drawn, they will give the vertical projections of the same sections. “ It now remains to discover the points of intersection of these sections with those of the sphere, upon the same plane. “For this purpose, having drawn through the point A, the right line GAF, parallel to I. M, suppose the vertical plane drawn through C E, to turn about the vertical line raised from the point A, and projected in a' a, as upon a hinge, till it become parallel to the vertical plane of projection, and that it also draw with it the sections it has made in the two surfaces. In this movement, the points C, E, will describe around the point A, as a centre, the arcs of circles C G, E F, and will fall in, in G, F ; by projecting the latter points upon L M, in g,_f; the right lines a g, af; will be the vertical projections of the sections made in the conic surface, considered in the new position they have assumed in consequence of the movement of the plane. The section made in the surface of the sphere, considered also in its new position, will have the circumfer- ence l f ’ g’ m as a vertical projection. The points, therefore, of coincidence, g’,f , of this circumference with the lines ag, a f, will be the projections of the points of intersection required, considered also in the new position of the plane. “ N ow, to obtain the projections of the same points, in their natural position, the vertical plane must be supposed to be returned to its original situation. In this movement, all its points, and consequently those of the intersection contained in it, will describe the arcs of horizontal circles around the vertical line raised from the point A as an axis, whose ver- tical projections will be horizontal lines. Then by drawing through the points fg’, the horizontal lines f’ k,g’ 2', they will contain the vertical projections of the points of intersec- tion : but these projections must also be upon the respective right lines a 0, ac, and will be found in the points of coinci- dence, ill, of the latter with the horizontal lines 9’ i,f‘ 11. Thus the curve kkni, drawn through all the points con- structed in the same manner for any other line, besides C E, will be the vertical projection of the intersection required. “ By projecting the points, i, [2, upon C E, in J, H, we shall have the horizontal projections of the same points of the intersection ; and the curve K H N J drawn through all the points, J, 'H, constructed in the same manner for any line besides C E, will be the horizontal projection of the intersection. “ To find the tangent to the point J of the horizontal pro- jeetion, the horizontal trace P of the tangent to the corres- ponding point of the intersection must be constructed. This trace must be in the coincidence of the traces of the planes tangent to the two surfaces, in the point of the intersection corresponding to the point J. Here it is obvious, that by drawing C P through the point C, tangent to the curve B C E D, we shall have the trace of the plane tangent to the conic surface. And for that of the plane tangent to the surface of the sphere, the operation is similar to what has been described in the cases of revolving surfaces, viz. by drawing 9’ 0 through the point 9’, tangent to the circle If’ g’ m, pro- duced to the right line L M, in 0, afterwards measuring a’ 0 upon C E, from A to 0, and drawing the line 0 P, through the point 0, perpendicular to C E. The two traces C P, 0 P, then will cross each other in a point, P, through which, if JP be drawn, it will be the tangent to the point J. “ Hen'ee we see that the tangent to the point i of the ver- tical projection of the intersection will be obtained by project- ing the point P upon L M in p, and afterwards drawing the right line 5}), which is the tangent required. “ If the sphere and the conic surface were not concentric, it would be necessary to conceive a right line passing through their two centres, and to choose a series of cutting planes that should pass through such line. Each of these planes would cut the conic surface in right lines, and that of the sphere in one of its great circles, as in the preceding instance ; which would give an equally simple construction : but then it would be advantageous to place the vertical plane of projection parallel to the right line drawn through the two centres, in order that, in the movement given to each cutting plane to render it parallel to the vertical plane of projection, the two centres may remain motionless, so as not to change their projections ; by this means the constructions are simplified. “ Sixth Questzon.——To construct the development of a DES 259 DES tonic surface, of any base, and to represent upon the surface so developed, a section, whose two projections are given. . “ Solution.-—Suppose the surface of a sphere, whose radius is taken at pleasure, whose centre lsplaced 1n. the apex of ‘the cone, and construct, as in the preceding questlon, the projec- tions ofthe intersections of the two surfaces. This done, it will appear evident, that all the points of the spherical intersec- tion being at the same distance from the apex, they must like- wise, upon the surface developed, be at an equal distance from the apex, and consequently upon an arc of a circle described from the apex as a centre, with aradius equal to that of the sphere. “Thus, supposing the point R (Figure 33) to be the apex of the surface developed, if from this point, as a centre, With a radius equal to a m (Figure 31) the arc, s T U, of an indefinite circle be described, it is upon this are that all the points of the spherical intersection will fall, so that the points of such are will be respectively equal to the corresponding points of the spherical intersection. It therefore now remains, (after having taken at pleasure a point by way of origin, as, for example, the one projected in N, it (Figure 31), and a point s (Figure 33) to correspond with it on the surface developed) to develop the different arcs of the spherical intersection, and to measure them successively upon the arc of the circle 5 ’l‘ U, from S, in certain points T. To do which, the spherical surface being of double curvature, it must be successively deprived ofits two curvatures, without. however, altering its size, in the following manner. “The spherical intersection being projected on the hori- zontal plane in N J K H, (Figure 31) it may be considered as traced upon the surface of a vertical cylinder, whose base Would be NJKH: this surface may then be developed as directed in Figure 27, and the spherical intersection may be described upon it by developing the arc N J (Figure 31) in N' J’ (Figure 32), and carrying the vertical line i’i (Figure 31) perpendicularly to N’ N’ (Figure 32) from J’ to J’/. The curve N” J” K” N”, passing through all the points, J”, thus determined, will be the spherical intersection, freed from its horizontal curvature, without having changed its length. The tangent to the point J” of this curve will be obtained by carrying J P (Figure 31) measuring it upon N'N' (Figure 32) from J’ to P’, and drawing the right line J" 1". “Now, we shall develop the curve N" J" K" H” N", in order to fold it on the arc s T U(Figure 33): for example, measure the are N" J" from s to T, and the point T will be on the conic surface developed, the point in which that of the spherical intersection will apply, whose projections are J, i (Figure 31.) Therefore by drawing the right line RT we shall have upon the development of the surface, the gene- rating line, whose horizontal projection is AC (Figure 31). Lastly, should any point be found upon this generating line, that should be brought upon the surface developed, it will be only requisite to take the distance (Figure 31) of such point from the apex of the conic surface, and to carry it (Figure 33) upon RT, from R to V; and the point V will be upon the surface developed, the one required. “ Seventh Question—To construct the intersection of two cylindric surfaces, of any bases. “ Solution—In making the research in which this question originates, if we have no other intersections to consider than that ofthe two cylindric surfaces, (and eSpecially when these surfaces have circular bases) it will be found expedient so to choose the planes of projection, as that one among them may be parallel to the generating lines of the two cylinders : by which means the intersection will be constructed without the aid-of any other curves than those given. But when we are obliged also to keep in view the intersections Of these surfaces w1th others, there is no longer any advantage to be derived from a change of the planes of projection ; it will even prove more easy to represent the objects by referring them all to the same planes. We shall therefore suppose the generating lines of the two surfaces to be placed indifferently as to the planes of projection. “ Under this idea, let '1‘ F U 1!", x GV G’ (Figure 34) be the given horizontal traces of the two cylindric surfaces ; AB, a b the given projections of the right line, to which the generating line of the first is parallel ; C D, cd, those of the line to which the generating line of the second is parallel. Suppose a series of planes parallel to the two generating lines: such planes will intersect the two surfaces in right lines ; and the coincidences of the sections made in the first surface with those made in the second, will determine the points of the intersection required. “Thus, after having constructed, as in Figure 15, the hori- zontal trace, A E, of a plane drawn along the first given right line, parallel to the second, draw as many parallel right lines, F G’, to this trace as you please, and consider such parallels as traces of the planes of the series. Each line, F G’, will cut the trace of the first surface in such points as F, F’, and that of the second in such as G, G', through which draw to the respective projections of the generating lines, the parallels F H, F’ H’ . . . . . . G J, G’ J'; and the intersecting points, P, Q, R, s, of these lines, will be the horizontal projections of so many points of the intersection of the two surfaces. By working in a similar manner on the remainder of the lines F G', we shall obtain a succession of systems of points P, Q, R, s, and the curve that will pass through all the points so found, will be the horizontal projection ofthe intersection. “ To obtain the vertical projection, project upon L M the points F, F' ..... G, G’ . . . . . in fif ..... g, g' ..... and draw through these latter points, to the projections of the respective generating lines, the parallels f’ h,f’ li' . . . . g i, g' i’ . . . . and their coincidence will determine the vertical projections, p, g, r, s, of the points of intersection. And by thus pro- ceeding with all the other lines F G‘, we shall obtain new points p, q, r, s, and the curve that would pass through such points will be the vertical projection of the intersection. “In order to obtain the tangents of these curves to the points P, p, construct the horizontal trace, F' Y, of the plane tangent in this point to the first cylindric surface ; then the trace, G' Y, of the plane tangent in the same point to the second surface ; and the right line drawn from the point Pto the point Y of the coincidence of these traces, will be the tangent in P. Lastly, project Yupon L M in g, and draw the right linepg, and it will give the tangent to the point p of the vertical projection. “Eighth Question.—To construct the intersection of two revolving surfaces, whose axes are in the same plane. “ Solution—Dispose the planes of projection in such a manner, that one among them shall be perpendicular to the axis of one of the surfaces, and the other parallel to the two axes. Then let A, Figure 35, be the horizontal projection of the axis of the first surface ; a a’ its vertical projection ; and cde the given generating line of such surface. Let A B, parallel to L M, be the horizontal projection of the axis of the second surface; a’b its vertical projection, so as that A, a’ be the projections of the point of coincidence of the two axes; fg h the given generator of the second surface. Conceive a series of spherical surfaces, whose common centre would be in the point of concourse of the two axes ; and for each of such surfaces construct the projection Us 72 0}) q of the great circle parallel to the vertical plane of projection ; which pro- jections, being arcs of circles described from the central point a’, with radii taken arbitrarily, will cut the two generating lines in the points lap. DES 260 DES “We shall now find each spherical surface Cutting the first surface in the circumference of a circle whose plane is per- pendicular to the axis a a', and whose vertical projection may be obtained by drawing the horizontal line k 0, and its hori- zontal projection, by describing from the central point A, with a diameter equal to k 0, the circumference of a circle K R o R’. In like manner,, every spherical surface of the series will cut the second revolving surface in the circumference of a circle whose plane will be perpendicular to the vertical plane of projection, and whose vertical projection may be obtained by drawing through the pointp a line, 1) n, perpendicular to a’ I). “ Should the points 7', in which the two rightlines k 0,}; n, intersect each other, be nearer to the two respective axes than are the points kp, it is evident that the two circumfer- ences of circles would intersect each other in two points, of which rwould be the common vertical projection; and a curve drawn through all the points r, constructed in a similar way, would be the vertical projection of the intersection of the two surfaces. By projecting the point r upon the circum- ference of the circle K R 0 R’, in R, R’, we shall have the hori- zontal projection of the two points of the coincidence of the circumferences of circles found upon the same sphere; and the curve drawn through all the points R, R’, constructed in like manner, will be the horizontal projection of the intersec— tion required. “ These examples may suffice for conveying an idea of the method to be adopted in constructing the intersections of sur- faces, and drawing tangents to them ; more especially if the student be careful to make his constructions with scrupulous exactness, if he employ large dimensions, and, as much as possible, trace the curves in all their extent. “ In the foregoing pages, we have supposed the curves of double curvature as being each determined by two curved surfaces, of which it is the intersection ; and, indeed, such is the point of view wherein they most commonly present them- selves in descriptive geometry; and, under this consideration we have shown that it is always possible to draw tangents to them. But, although a curved surface may be defined by means of the form and movement of its generator; it may nevertheless happen, that a curve may be given, by the law of motion, from a generating point; in which case, if the practitioner do not choose to have recourse to analysis, he may adopt the method of Roberval. This method, invented by him before Descartes had applied geometry to algebra, is implicitly comprised in the processes of differential calculi, and is therefore not noticed in the elements of the mathe— matics; a summary exposition of it in this place, will be sufficient ; those who are curious to see numerous applications of this method may consult the flIemoirs of the Academy of Sciences (French) anterior to the year 1699, wherein the works of Roberval have been collected. “ When, pursuant to the law of its motion, a generating point is constantly impelled towards one particular point in space, the line it describes by virtue of such law is a right line ; but if, in the whole course of its movement, it be at the same time impelled towards two points, it will in general describe a curve, though in particular cases it may describe a right line. The tangent to such curve may be obtained by drawing through the point of the curve two right lines, following the two different directions of the motion of the generating point ; by measuring upon these directions, in an appropriate manner, parts proportional to the swiftness oftwo respective motions of the point ; by completing the parallelo- gram, and drawing the diagonal, which will be the tangent required: for this diagonal will be in the direction of the movement of the describing point to the point of the curve under consideration. , “ The following is an example. “ Figure 36.—A thread, A M B, being fastened by its extremities to two fixed points, A, B ; if, by means of a point, M, this thread be stretched out, and the point moved, so as still to keep the thread in a state of tension, it will describe the curve DC M, being an ellipsis, whose foci are the fixed points A, B. From the generation of this curve, it is easy to draw a tangent to it, by Roberval’s method. For instance ; as the length of the thread is not altered, the radius AM, in every instant ofits motion, is lengthened in the same propor- tion that the radius B M is shortened. The swiftness, there- fore, of the describing point in the direction A M, is equal to its motion in the direction M Q. Therefore, by measuring on M B, and on the prolongation of A M, the equal right lines M Q, M P, and by completing the parallelogram M P R Q, the diagonal, M R, of this parallelogram will be the direction of the gene- rating point in M, and consequently the tangent to the same point of the curve. Hence we may clearly perceive, that in the ellipsis, the tangent divides the angle BM P, formed by one ofthe vector radii, and by the prolongation of the other, in two equal parts ; that,the angles A M s, B M R are equal to each other ; and that the curve possesses the property of reflecting upon one ofits foci the rays of light emanating from the other. “ The method of Roberval in the case of three dimensions. may be readily understood, and applied to the construction of tangents to curves of double curvature. Thus, if a gene- rating point move in space, so as to be constantly impelled towards three different points, the line it will traverse, though in some particular cases it may be a right line, will in general describe a curve of double curvature. The tangent to such curve may be obtained in any point whatever, by drawing right lines from the given point, in the three direc- tions of the movement of the generating point ; by measuring upon such lines, in an appropriate direction, parts propor- tional to the swiftness of the three respective motions of this point; by completing the parallelopiped, and drawing the diagonal of the parallelopiped, which will be the tangent to the curve in the point taken. “ We shall now apply this method to a case analogous to that of the ellipsis. The Figure 37, to which we refer, represents the object in perspective, and not in projection. “ Three fixed points, A, B, C, being given in space, let a. thread, A M B, be fastened by its two extremities to the points A, B ; let a second thread, AM C, independent in its size of that of the other, be attached by its extremities to the points A, C ; let a generating point, holding both threads, be moved so as to keep them in a state of tension, and it will describe a curve of double curvature. In order to draw a tangent to this curve in the point M, we must observe that the length of the first thread, A M B, being uniform through- out its movement, the part A M is lengthened out precisely in proportion as the part M B is shortened, and that the swift- ness of the generating point in the direction A M is equal to that of its movement in the direction M B. So, likewise, the length of the second thread, A M C, being unaltered, the swift- ness of the generating point in the direction M C is equal to that of its motion in the direction A M. Therefore, by measuring upon the prolongation of AM, and on the right lines M B, M C, the equal parts M P, M Q, MR, and completing" the parallelepiped M P U SYQ R T, we shall obtain in the» diagonal, M S, of this parallelopiped, the tangent required. “The method of Roberval being founded on the principle of compound motion, we may readily conceive that in cases more complex than these, which we have chosen as examples, we may avail ourselves of the known methods to find the resultance of forces impelled towards a point, whose size and directions are ascertained. DES 261 DES “ Application of the method of constructing the intersections of curved surfaces to the solution of cartons questzons. . “ In Figure 26, we have defined the mode of constructing the projections of the intersection of two curved surfaces, definite in their form and position ; which we have done m the abstract, that is, without attending to the nature of the questions whose solutions would require such operatlons. The exposition of this method, even in this abstract manner, will be found sufficient for most of the arts ; for instance, m masonry and carpentry, the curved surfaces there considered, and the construction of whose intersections may be required, generally form the principal object of attention, and present themselves naturally. But as descriptive geometry will one day become a principal part of the. national education, its methods being no less necessary to artists than reading, writing, and arithmetic; we conceive it must prove useful to point out, by a few examples, how it may furnish the analysis for the solution of a great number of questions, which, at first sight, seem not to admit of being treated in this manner. We shall begin with such examples as require only the intersections of planes, and then proceed to those in which the intersections of curved surfaces are necessary. “ The first question that forcibly occurs to those who are learning the elements of ordinary geometry, is the finding of the centre of a circle whose circumference passes through three arbitrary points on the plane. The determination of this centre by the intersection of two right lines, upon each of which it is necessarily found, surprises the pupil as well by its generality, as because it yields a mode of execution. Were all geometry treated in the same manner, which it may be, it would suit a much greater number of geniuses, would be cultivated and practised by a far more numerous class of men, the ordinary instruction of the nation would be more advanced, and the science itself carried to a greater extent. “ In the three dimensions, there exists a question analogous to the one just quoted, with which we shall begin. a “ First Question—To find the centre and radius of a sphere, whose surface passes through four points, given arbitrarily in space. “ Solution—The four points being given by their hori- zontal and vertical projections, conceive right lines drawn from one of them to each of the others ; and trace the hori- wntal and vertical projections of such lines. Then, in con- sidering the first of these right lines, it will appear evident, that as the required centre must be at equal distances from the two extremities, it will be on the plane perpendicular to such right line, and drawn through its middle. Therefore by dividing the projections of the line into equal parts, which will give the projections of its middle, and'by constructing the traces of the plane drawn through the point perpendicular to the line, as has been before described, we shall obtain the traces of a plane upon which the centre required will be found. Next, in considering the two other right lines, and working successively for each of them, a like operation, we shall obtain the traces of three several planes, upon each of which the centre sought for will be found. Now, as the centre must be upon both the first and second of these planes, it can be nowhere but in the line of their intersection ; therefore, by constructing the projections of this intersection, we shall have upon each plane of projection, a line containing that of the centre. For the same reason, if the projections of the Intersection of the first and third planes be constructed, we shall have on each plane of projection another line contain! mg the projection of the centre. Hence we have upon each plane of projection two right lines, whose intersection will determine the projection of the required centre of the sphere. 3x “ By using the intersection of the second and third planes, we shall obtain a third right line, that passes through the centre, and whose projections also pass through those required, which furnishes a means of verification. “ As to the radius, it is evident, that a right line drawn through the projection of the centre and that of one of the given points, .will be its projection ; whence we may obtain both the horizontal and vertical projections of the radius, and consequently its size. “When the position of the planes of projection can be chosen at pleasure, the preceding method may be considerably simplified. Thus, suppose the plane that we have considered as horizontal (Figure 38) to pass through three given points, so as that of the given projections A, B, c, D, of the four points, the three first may be blended with their respective points; then, having drawn the three right lines AB, AC, AD, suppose the vertical plane to be parallel to A D, that is to say, that the right lines L M and A D are parallel to each other; the vertical projections of the three first points will be upon L M, in such points as a, b, c, and that of the fourth will be given somewhere in a point, d, of the right line D d, perpendicular to L M. This done, the line drawn from the point A to B, being horizontal, any plane perpendicular to it will be vertical, having for its horizontal projection a line perpendicular to AB. It is the same with respect to the right line drawn from A to 0. Therefore, by drawing through the middle of A B, the indefinite perpendicular E e, we shall have the horizontal projection of a vertical plane, that passes through the centre of the sphere ; consequently, the horizontal projection of the centre will be somewhere on the line E e. So, likewise, by drawing through the middle of AC, the indefinite perpendicular Ff, we shall have the projection of a second vertical plane, that passes through the centre of the sphere, and the horizontal projection of this centre will be in some point of the right line Ff: therefore, the point, G, of the intersection of the two lines E e, Ff, will be the horizontal projection of the centre of the sphere, and its vertical projection will consequently be upon the indefinite right line of projection G g g’. . “ The line drawn from the point A to the fourth point being parallel to its vertical projection a d, any plane perpendicular to it, will also be perpendicular to the vertical plane of pro- jection, and will have its vertical projection in a right line perpendicular to a d. Hence, by drawing through the middle of a d, the indefinite perpendicular H h, we shall obtain the projection of a third plane, that passes through the centre of the sphere; therefore, the vertical projection of the centre being at the same time upon g g’ and H h, must be in the point K, of the intersection of these two lines. ‘~‘ Lastly, by drawing the two right lines A G, a K, we shall evidently have the two projections of the same radius of the Sphere ; therefore, by measuring A G upon L M, from g to J, we shall have, in the right line J K, the size of the radius required. "‘ Second Questions—To inscribe a sphere in a given triangular pyramid; that is to say, to find the position of the centre of the sphere and the size of its radius. ~ “ Solution—As the surface of the inscribed sphere must touch the four faces of the pyramid, it is evident that a plane passing through the centre of the sphere and through each of six arétes, would divide the angle formed by the two faces that pass through the same arete, into two equal parts. If, then, three of the six aretes be chosen, which do not all pass through the same apex of a solid angle, and if through each of these arétes a plane be made to pass, dividing in two equal parts the angle formed by the two corresponding faces. i we shall obtain three planes, upon each of which the centre DES 262 DES of the sphere required will be found, whose position will be determined by their common intersection. “In order to simplify the construction, we shall suppose the planes of projection to be so chosen as that the one which we consider as horizontal may be the same with one of the faces of the pyramid. “ Figure 39.—I’late 4. With this view, let A, B, C, D, be the given horizontal projections of the apices of four solid angles of the pyramid, and a, b, c, (1’, their vertical projec- tions; conceive through the apex of the pyramid, planes perpendicular to the three sides of the base; such planes will be vertlcal, and their horizontal projections will be the right lines D E, D I“, D G, falling perpendicularly from the point D on the sides A C, C B, B A, of the base. Each of these planes will cut the base of the pyramid and the face that passes through the arete in two right lines, comprehending between them an angle equal to that which the face forms with the base. Then, by measuring on L M the right lines D E, D F, D G, beginning from the vertical line D dd’, from dto 6,], g, and drawing from the apex, d’, the right lines (1’ e, d,f, d’g, the latter will form with L M angles equal to those formed by the corresponding faces of the pyramid with the base ; and it'each of these three angles be divided into two equal parts by the right lines ee’,ff’, gg’, the angles formed by these last lines with L M, will be equal to those formed by the base with the faces of a second pyramid, having the same base with the given pyramid, and whose apex Will be in the centre of the sphere required. “ To find the apex ofthis second pyramid, let it be cut by a horizontal plane, drawn at an arbitrary height, whose vertical projection may be obtained by drawing any horizontal line whatever, as p n. This line will cut 0 e’jjf’, 99' in the points h', i’, h’, from which let the vertical lines h’ h, z" 2', h’ k, fall upon L M ; and by measuring the three distances h e, if, kg, on the respective perpemliculars, from E to II, from F to J, and from G to K, we shall have in II, J, K, the horizontal projections of points taken in the three faces of the second pyramid, and which will be found upon the arbitrary hori- zontal plane. Then, by drawing through the points 11, J, K, to the respective sides of the base, parallel lines, as P N, N 0, OP, they will be the projections of the sections of the three faces of the second pyramid, upon the same hori- zontal plane ; they will also intersect each other in points, as N, O, 'P, which will be projections of as many points of the three aretes of the second pyramid; and by drawing from these points to the apices of the respective angles of the base, indefinite right lines, as A P, B 0, C N, such line will be the projections of the arétes; lastly, the single point Q, wherein they all three meet, will be the horizontal projection of the apex of the second pyramid, and consequently of the centre of the sphere required. “ To obtain the vertical projection of this centre, draw, first, the indefinite right line of projection Q (1 9’, on which it will be found; then project the three points, N, 0, 1', on the hori- z‘ontal line n, p, in 72, 0,3); draw through the projections, a, h, c, of the apices of the respective angles of the base, the right lines (1.17, h 0, c n, and they will be the vertical projec- tions of the three arétcs ; and the single point, (1’, wherein the three last liucs out each other, and which will be at the same time on the right line Q 99', will be the vertical pro- iection of the centre of the sphere. ‘ Lastly, the vertical line q q’ will be evidently equal to the radius of the inscribed Sphere, and the points Q, 9, will be the projections of the point of contact of the surface of the sphere with the plane of the base. “ “’0 have shown by what considerations we are enabled to determine the position of a point, after having ascertained its distances from three points of known position ; we shall now proceed to the actual construction of this question. “ Third Question—To construct the projection of a point, whose distances from three other points given in space is known. “ Solution—Ryure 40. Let the planes of projection be so chosen as that the one considered as horizontal may pass along the three given points, and let the other be perpendicu- lar to the right line by which two of the points are joined. Then let A, B, 0, represent the three given points; and A’, B’, 0’, their given distances from the point required. Join two of the points by the right line A B, perpendicularly to which draw LM, and it will determine the position of the vertical plane of projection. Take the points A, B, C, as centres, and describe with radii equal to the respective dis- tances A’, B’, 0’, three arcs of circles, which may cut each other by two’s, in the points D, E, F, J, P, Q; through the intersecting points of these arcs taken by two’s, draw the lines D E, F J, P Q, and they will be the horizontal projections of the circumferences of circles wherein the three spheres intersect each other ; and the single point N, wherein these three lines meet, will evidently be the horizontal projection of the point required. “In order to obtain the vertical projection of the same point, draw the indefinite line of projection Nn n’; then, observing that the circle projected in D E is parallel to the vertical plane, and that its projection on this plane must be a circle of equal radius, project the line A B upon L M, in the point r, from which, as a centre, and with an interval equal to D R, or the half of D E, describe the circle d n e n', and the circumference will cut the right line N n n' in two points, 71 n,’ which will be indifferently the vertical projection of the point required. “ According to the other circumstances of the question, we may determine whether the two points 72, n’, ought to be both used; and in case of one only being necessary, which of them to prefer, and which to reject. “ The reader may propose to himself the construction of the projections of a point whose distances from three lines given in space are known. “ Fourth Question—An engineer, when surveying a moun- tainous country, whether for the purpose of studying the form of the earth, or for making a draught for public works dependent on such form, is furnished with a topographical chart, whereon not only the projections of the different points of the earth are exactly laid down, but also the altitudes of all these points above a level surface, are indicated by figures placed on their sides respectively, commonly called quotas: he meets with a remarkable point, not placed on the chart, either in consequence of an omission, or because it has become remarkable since the chart was drawn. The engineer has no instrument of observation about him, except a graphomcter, used for measuring angles, furnished with a plumb-line. “Placed in such circumstances, he is required, without quitting the station, to construct on the chart the position of the point in question, and to find the suitable quota, .riz. its; height above the level surface. “ flIode of Solution.—Amoug the points correctly described on the chart, nearest to the one under consideration, let the engineer select three, of which two at least are not of the same altitude with that on which he stands; then let him observe the angles formed by the zenith with the visual rays directed to these three points, and by this single observation he may resolve the question. “For instance: Let A, B, C, represent the. three points observed, whose horizontal projections are on the chart, and whose vertical projections he may construct, by means or HE LON—I; ON 33111 17:31er AITL 3771’. Li SHIN—G C OMEAN'YH LFflTEl} . Ezylurcd 63/ ”flaw/(y. DES 263 DE-S their quotas. Knowing the angle formed by the zenith .with the visual ray directed to the point A, he. 15 also acquainted with the angle formed by the same ray with the vertical line raised above the point A : for, disregarding the convex1ty of the earth. which is here admissible, these two angles will be found to be alternate-internal, and consequently equal. Then by conceiving a conic surface, of a circular base, with its apex in the point A, its axis vertical, and forming w1th its axus and generating line an angle equal to the angle observed, winch completely determines such surface, it Wlll pass along the visual ray directed to the point A, and consequently along the point of the station: thus he Will have a first curved surface determined, on which he may find the point required. By proceeding in a similar manner for the points B, C, as for the first, the point required will farther appear on two other conic surfaces, with circular bases, having their axes vertical, their apices in the points B, c, and each forming an angle with its axis and generating line equal to the angle formed by the zenith and the corresponding visual ray. The point sought for, therefore, will be at the same time upon three conic sur- faces, of determinate forms and positions, and consequently in their common intersection. It remains then only to con- struct, according to the data of the question, the horizontal and vertical projections of the intersections of these three surfaces, taken by two’s; the intersections of these projec- tions will give the horizontal and vertical projections of the point required, and consequently its position on the chart, with its height above or below the points of observation, which will determine the quota. “ This solution will generally produce eight points in answer to the question; but the observer may readily dis- tinguish among them that which coincides with the point of the station. He may at first sight ascertain whether the point of the station be above or below the plane that passes along the three points of observation. Suppose this point to be above the plane of the apices of the cones ; he may then neglect such branches of the intersections of the conic surfaces as are below the plane, which will reduce the number of possible points to four. So, on the contrary, were the point of the station placed below the plane, the number of points Would be equally reduced by omitting such branches as were above it. Then among these four points, if indeed so many exist, he will easily recognize that whose position, relatively to the three apices, is the same with that of the point of the station, relatively to the points of observation. “ Construction.—Figure 41. Let A, B, C, represent the horizontal projections of three points of observation taken on the chart ; a, I), c, the vertical projections of such points, con- structed by measuring on the vertical lines B b, C 0, beginning from the horizontal line L M, passing through the point a, the diiibronce of the quotas of the two other points; and let A' n'c’, represent the angles Which the visual rays, directed to the respective points A, B, 0, form with the zenith. “ Draw the indefinite vertical lines a a’, l) b’, c c', and they will be the vertical projections of the axes of the three cones ; through the three points a, b, c, draw the right lines a], I) m, c n, and they will form with the vertical lines, angles respectively equal to the given angles A’, B', C’ ; which right lilies will be each the vertical projection of one of the two extreme sides ofthe corresponding conic surface. _ “ This done, draw in the vertical projection horizontal lines, 9 e’ at pleasure, which may be considered as the projec- tions of as many horizontal planes, and for each of them work the operation we are about to describe for the one indicated y r. n. “ This line will cut the projections of the axes of the three cones in points f, g, )1, that are the vertical projections of the centres of the circles, according to which the corresponding horizontal plane cuts the three conic surfaces; it will also cut the extreme sides of the cones a l, I) m, c n, in such points, f', g“, h’, that the distancesffgg’ h/z’, will be the radii of these circles. From the points A, B, C, taken successively as centres, and with the radii respectively equal toff, gg’, It h’, describe circles, whose circumferences will be the horizontal projections of the sections made in the three conic surfaces by the same plane E E’ ; these circumferences will intersect each other, two by two, in points D D’, K, K’, J, J’, that are the pro- jections of as many points of the three intersections of the conic surfaces, considered by two’s ; and by projecting these points upon E E’, in dd’, It, 13' ii’, we shall obtain the vertical projections of the same points of the three intersections. “By afterwards working in the same manner upon the other right lines ee’ we shall obtain from each of them new points, D, D', K, K’, J, J’, in the horizontal projection, and likewise, d, d’, k, If, i, z’, in the vertical one ; then pass a curve, D P D’, through all the points D, D’. . . . and it will be the horizontal projection of the intersection of the first conic sur- face with the second : pass another curve K P K’, through'all the points K, K’ . . . . and it will be the projection of the inter- section of the second surface with the third ; and by passing a third curve, J PJ’, through all the points J, J’ . . . ., we shall have the projection of the intersection of the third surface with the first. All the points P . wherein these three curves intersect each other, are the horizontal projections of as many points answering to the question. “So, in the vertical projection, by passing a first curve through all the points d, d’ . . . . a second through all the points it, if . . . . and a third through all the points i, i. . . . we shall have in such curves the vertical projections of the intersec- tions of the three surfaces, taken in pairs ; and all the points, p . . . wherein such curves intersect each other, will be the vertical projections of all the points necessary to the solution of the question. “ The projections P, p, of an identical point will be in the same perpendicular to L M. “ Having discovered among the points P the one indicative of the point of the station, the observer will be in possession of the horizontal projection of such station, and, consequently, of its position on the chart ; then by means of the altitude of the corresponding point p above the right line L M, he may obtain the elevation of the point of the station above that of the point of observation A, and that will give him the appropriate quota. “In this solution we have constructed the projections of the three intersections of the surfaces ; but two would have been sufficient. Yet- we would always advise the adoption of this practice, because the projections of the two curves of double curvature may intersect each other in points not cor- respondent to those of intersection ; and also, because, in order to recognize the projections of the points of intersection, it is necessary to follow the branches of the two curves that are upon the same face of one of the surfaces ; which requires a laborious degree of attention, seldom, if ever, necessary in constructing the three curves: the points wherein they all three out each other, are true points of intersection. “ Fifi/z Question—Under circumstances similar to the preceding, except that the instrument is not furnished with a plumb-line, so that the angles formed with the zenith cannot be measured, the engineer is required, without quitting the station, to determine on the chart the situation of the point where he is, and to find the quota belonging to it, viz. its elevation above the level surface to which all the points of the chart refer. “Mode of Solutionwflaving made choice of three points DES 264 DES of land, whose situations are accurately marked on the chart, and of such kind as not to be in the same plane with the point of the station, let the engineer measure the three angles which the visual rays directed towards those three points form with each other; and by means of this simple observation he will be able to resolve the question. “Thus, by letting A, B, C, represent the three points of observation, and supposing them to be joined by the right lines A B, B C, C A, the engineer will be in possession of the horizontal projections of such lines, traced on the chart ; and by means of the quotas of the three points, he may obtain the differences of the altitudes of the extremities of the lines; he may, therefore, ascertain the size of each of them. “ This done, if in any plane whatever, drawn through AB, a rectangular triangle, BAD (Figure 42) be conceived as constructed, with AB for its base, whose angle in B is the complement of the angle under which the side A B has been observed, the angle in D will be equal to the angle of obser- vation, and the circumference of a circle described through the points A, B, D, will possess the property that if from any point whatever, E, of the are A D B, two right lines be drawn to the points A, B, the angle, in E, which they include, will be equal to the angle of observation. If, then, the plane of the circle be conceived to turn upon A B, as on a hinge, the are A D B will generate a revolving surface, all whose points will be endowed with the same property, viz. that if from any point of the surface two right lines be drawn to the points A, B, they will include an angle equal to the angle of observa- tion. Now, it is evident that the points of such revolving surface alone possess this property: therefore the surface passes through the point of the station. “ By operating in a similar manner upon the two other lines B C, .C A, two other revolving surfaces will be obtained, on each of which the point of the station will be found ; this point will therefore be at the same time upon three different revolving surfaces, determined as to their form and position ; consequently it must be a point of their common intersection. Thus, in the construction of the horizontal and vertical pro- jections of the intersections of these three surfaces, taken in pairs, the points in which the three projections out each other will be the projections of the point answering the question. The horizontal projection will be its position on the chart, and the vertical projection its elevation above or below the points of observation. “Were this question to be treated by analysis, it would generally lead to an equation of the sixty-fourth degree ; for each of the revolving surfaces has four distinct faces, two of which are generated by the are A D B, and the other two by the arc AF B. As each of the faces of the first surface may be cut by all those .of the second, sixteen branches may be the result in the curve of intersection ; and as these may be again out by the four faces of the third surface, they may produce sixtyefour points of intersection in the three surfaces ; though they would not all apply to the solution of the ques- tion. Thus, if from any point, as F, of the are As B, lines be drawn to the extremities of A B, the angle A F 13,, included by them, would not be equal to the angle of observation, but would be its supplement. The faces generated by the are A F B, and the analogous faces in the other revolving surfaces, cannot therefore serve towards the solution of the question ; and all the intersecting points belonging to any of these faces are foreign to the problem. “ In descriptive geometry, we may, and indeed should exclude the are A F B, and those analogous tc it, in the two Mher surfaces ; each of which will then have but two faces, and the number oftheir possible points of intersection will be reduced to eight. Of these, four will be on one side of the plane passing through the three revolving axes, and four on the other. The observer, being always aware of the side on which he is placed relatively to this plane, will, of course, not construct the intersections of the opposite side, so that the number of points will in fact be reduced to four. Now, among these four points, if they all exist, he will readily know which is placed with respect to the points A, B, C, in a manner similar to that of the station relatively to the three points of the country that he has observed. “ Construction—Select the position of the two planes of projection so as that the one taken as horizontal may pass through the three points observed, and that the other may be perpendicular to the right line drawn through two of those points. Let then ABC (Figure 42) represent the triangle formed by the points observed, considered in its plane, and A’,B',C’, the three angles given by the observation. Draw perpendicularly to the sides AB, the right line L M, which will indicate the position of the vertical plane of projection ; and construct, according to the directions already given, the generating arcs A E D B, B G C, C F A, of three revolving surfaces, whose sides, AB, BC, AC, are the axes. Then, taking the point A as a centre, describe arcs of circles, as E 0 F, at pleasure, and they will cut the generators, whose axes meet in A, in such points as E, F, from which, drop upon the respective axes, the indefinite perpendiculars EE', FF’ ; these perpendiculars will intersect each other somewhere in a point, as H, which will be the horizontal projection of a point of intersection of the two surfaces, whose axes are AB, AC; and the curve, AHP, drawn through all the points H . .. thus found, will be the hori- zontal projection of this intersection. Next, after pro- jecting the axis A B in a, take the point a as a centre, and describe from it, with radii successively equal to the per- pendiculars E E’, arcs of circles, as e e’ h, on each of which, by projecting the point H, to its corresponding point in h, we shall have the vertical projection of a point of the intersection of the two same revolving surfaces; and the curve, a h p, drawn through all the points, It. . . . so constructed, will be the vertical projection of this intersection. “ The same method may be pursued for the two surfaces revolving about the axes A B, BC ; 'viz. taking the point of coincidence, B, of the two axes as a centre, describe arcs of circles, as DKG, at pleasure; which arcs will cut the two generators in points, as D, G, from which drop on the respec- tive axes the indefinite perpendiculars D, D’, G G’ ; these per- pendiculars will cut each other in a point, as J ; and the curve, BJP, drawn through all the points J... will he the hori- zontal projection of the intersection of the first and third. revolving surfaces. Taking the point a as a centre, with. radii successively equal to the perpendiculars DD', describe arcs of circles, as dd’ i, on which project in i the correspond-- ing points J; and the curve, aip, drawn through all the points 2', will be the vertical projection ofthe same intersection. “ Here we shall find that all the points, P . , . . in which the two curves A II P, B J P, out each other, are horizontal pro- jections of so many points applicable to the question ; and that all the points, 1) . . . . in which the curves a lap, a ip, intersect each other, are the vertical projections of the same points. “ The projections, thus found, will not give immediately the position of the point of station on the chart; nor its height, because the horizontal plane is not that of the chart but it will be easy to find them on the true planes of pro- jection. “ Sixth Question—The general of an army meets that 0 an enemy, but not having a chart of the country, is at a 105: how to form his plan of attack. But beingr in possession o ma SEEEE ENE GE @ME TEE. ' DES , % DES a balloon, he dismisses an engineer in it, to make the neces- sary arrangements for constructing a chart,_and to give as near an idea of the level of the country as posszble. Fearing, however, that, should the balloon be sufl'ered to change'its station over the’earth, the enemy might antrcnpate his desxgn and frustrate it, he permits the engineer to raise himself to different altitudes in the atmosphere, if necessary, bUt not to alter his perpendicular station. The engineer is provided with an instrument for the measurement of angles, which is also furnished with a plumb—line: it is asked, how can the engineer fulfil the object of his general ? . . “ Solution.———The engineer must take two stations in the same vertical line, whose difference he may ascertain by mea- suring the cord let out, to raise the balloon from one station to the other. In one of these, the lowest, for example, let him measure the angles made by the zenith with the visual rays directed towards the points whose position he wishes to determine on the chart; then, among these points, let him select one, which he will consider as the first, and which we shall denominate A; let him also measure successively the angles formed by the visual ray directed to the point A, and those directed towards all the other points. In the second station, let him measure the angles formed by the zenith with the visual rays directed to all the points of the country : and from these observations, he may construct the chart required. “ \Vhen we are acquainted with the angles formed by the zenith with the two visual rays directed from the two stations towards the same point, we know that such point is at once upon two determinate and known conic surfaces, with circular bases, having their axes in the same zenith, the dis- tance of their apices equal to the difference of the altitudes of the two stations, and the angles formed by their generators with the common axis equal to the angles observed. Also, when we are acquainted with the angle formed by the visual ray directed from the first station to this point, and by that directed towards the point A, we know that the point con- sidered must likewise be on a third conic surface, with a cir- Cular base, whose inclined axis is the visual ray directed from the first station towards the point A, having its apex in the first station, and forming an angle between its axis and generator equal to the angle observed. The point consi- dered, therefore, will be found at the same time on conic sur- faces with circular bases, of known form and position ; con- sequently it must be the point of their common intersection ; and by Constructing the horizontal and vertical projections of the intersection, we shall obtain the position of the point on the chart, with its elevation above or below others. “ Without varying from these considerations, the construc- tion may be rendered more simple, by some of the methods already prescribed : for with a knowledge of the angles formed at the first station by the visual ray directed towards the point A, and by the rays directed towards all the other points ; and knowing the angles formed by the sides of these angles with the zenith, it is easy to reduce them to the horizon, viz. by constructing their horizontal projections. By select- ing, therefore, on the chart, an arbitrary point, to represent the projection of the zenith of the balloon, and drawing an arbitrary right line through it, to represent the projection of the visual ray directed towards A ; drawing also, through the same point, right lines, making with such projection of the ray, angles equal to those reduced to the horizon ; it is evxdcut that each of these lines must contain the horizontal projection of its correspondent point of country. It only remains, then, to find the distance of this point of the country from the zenith. For this purpose, take, in the vertical pro- jection, and upon the projection of the zenith of the balloon, "V0 Pom“: which in parts of the scale are distant from each 3 r other equal to the measured distance of the two stations, and through these points draw right lines making with the zenith angles equal to those observed for an identical point of country ; which lines will cross each other in a point whose distance from the zenith will be the distance required ; and by measuring iton the corresponding ray, beginning from the projection of the balloon, we shall have on the chart, the position of the point of country. The same two right lines, in the vertical projection, will, by their intersection, determine the height of such point ; therefore, by taking on the vertical projection, the heights of all the points of country above a common horizontal plane, we shall be able to determine the quotas suitable for all the points of the chart, and likewise the level of the country. “ This construction is so easy, that it does not require a. figure. “ The right line drawn from the projection of the zenith of the balloon to that of the first point, A, observed, having been in the first instance traced upon the chart arbitrarily, it follows that the chart is not adjusted to the cardinal points, and, indeed, in the observations laid down, we find nothing by which to determine the objects observed towards them. But if an engineer observe on the earth, the angle made by the meridian with a visual ray directed from the foot of the zenith towards one of the points placed on the chart, and if he describe this angle upon its projection, he will have the direction of the meridian, and the chart will be adjusted to the cardinal points.” The great length to which our extracts from Monge’s work have extended, will be, we trust, pardoned, in consi- deration of the value of those extracts ; and of our desire to do the most ample justice to the learned and ingenious author. Though many works of a similar kind by eminent writers have since issued from the press, the Geometric Descriptive of Monge still holds a most distinguished place; and will con- tinue to be regarded as one of the best elementary books of modern times. DESICCATION, (Latin, desicco, to dry), the act of making dry; it is the chemical operation of drying bodies, and is effected in different modes, according to the nature of the substance. The term, Desiccating Process, has been applied to a patented invention, (Davison and Symington’s Patent), for seasoning or drying a great variety of sub- stances. It is said to have been used with success in season- ing wood. DESIGN, (designo, Latin; dessez'n, French), an original drawing of a building to be executed, comprehending the invention, composition, and arrangement of the whole. A design includes plans, elevations, and sections of the building intended to be carried into execution, besides other drawings of details, or parts at large. The number of these will, of course, depend either upon the nature of the building, that is, on its being more or less complex, or as it is intended to show it more or less fully. A small simple house will only require one plan and an elevation. A large edifice, with great variety of parts, will require plans of each story, elevations of the different fronts, a longitudinal and transverse section, and, in general, as many drawings as will be sufficient to explain all the parts. All the minute parts, as bases, capitals, architraves, friezes, cornices, and other mouldings, are to be exhibited in their true geometrical proportion, at full size. There is, perhaps, a certain prejudice against drawings of this kind, from an impression too generally entertained, that they are unintelligible except to the initiated. This feeling would be easily removed, were unprofessional persons to take the pains to examine a complete set of welhprepared architec~ tural drawings. A very little explanation renders these draw- DES 266 DET. ings perfectly clear to any person of common capacity, how- ever ignorant he may be of architecture. To begin with the plum—This may be described as the map of the building. By its means we distinguish most clearly the exact shape and extent of the structure as regards the space on which it stands ; the thickness of the walls, the internal arrangement of all the rooms and passages ; and the situation and width of doors, windows, fireplaces, stair- cases, Sue. The raised and solid parts, such as walls, columns, piers, &c., are shaded; the voids and apertures, such as doors, windows, &c., are left white. For every story of a building there should be a separate plan, although it is not usual, in books of designs, to give more than those of the ground-floor, and the principal one above it. Next to the plan we may describe the Elevation. This may be defined as a vertical plan; it shows the front, or one external face of the building, and gives the precise forms and measurements of every part, drawn to scale. It must be ob- served, that the particular in which an elevation differs from other drawings, and from the appearance of the objects them- selves, is, that no distinction is made between curved hori- zontal lines and straight ones; so that, whether the part be a plane or a curved surface, can be understood only from the shadovving, unless there happens to be something that assists in denoting curvature of plan. Thus, the mouldings of the base of a column are all straight lines ; consequently, with— out shadow to express rotundity, we could not determine whether they belonged to a flat or a. round surface, unless the shaft be fluted, in which case the flutes will diminish in width, according to their distance from the centre. Elevations have sometimes given to them something of a pictorial character, by colouring as well as by shadowing, and not unfrequently by the addition of sky and background. It would be better, perhaps, were such accompaniment re- stricted to what may be just sufficient to relieve the building, instead of being extended over the whole picture, and care- fully worked up; because such additions to the usual plain architectural drawing are calculated to give a formal and stiff appearance to the drawing, offensive to good taste and simplicity. In modern architectural publications, especially foreign ones, outline elevations are now generally given; these are preferable to those which are shadowed, as they exhibit all the forms more distinctly, and admit of being measured with much greater exactness. We next proceed to describe the Section. A section is the projection or geometrical representation of a building sup- posed to be cut by a vertical plane, for the purpose of exhi- biting the interior, and describing the height, breadth, thick- ness, and manner of construction of the walls, 8L0. By the section we are made acquainted with a variety of particulars, in regard to which a plan cannot be made to afford any infor- mation. It shows us the thickness of the walls and floors, the heights of the rooms, the forms and profiles of ceilings, whe- ther fiat, coved, or arched, also the exact forms of domes and skylights. It shows the heights of the doors, how they are panelled and decorated, the form of the chimney-pieces, &c., and, in some instances, furniture and fittings-up are advan- tageously introduced, with a view to judge of effect. For detailed and filled-up sections, it is usual to employ outline with the walls and floors shaded, the former as more solid, being made darker than the latter. When, on the other hand, the elevations of the rooms themselves are shadowed, the thickness of the intersected walls, &c., are left white, in order to prevent confusion, and exhibit the profiles better. Indispensable and interesting, however, as they are, sec- tions are a far more conventional mode of drawing than ele- vations, because they represent a building as it never can be seen, except where the front of a. house has been taken down for the purpose of rebuilding it, while the floors and partition- walls are left standing; in which case any one may obtain a good idea of the nature of a section, but of one seen in per— spective. Besides general sections showing the whole of a building from top to bottom, there are frequently partial ones, show- ing only the rooms on one floor, or even a single room, when it is desired to show any particular apartment on a larger scale than could conveniently be done any other way. Some- times recourse is had to a plan of the room with each of its sides drawn around it, as if laid flat on the ground, by which means the whole of the apartment is described. Horizontal sections also are given, to show more accurately than can be done on a plan, the soffits of entablatures, the ceiling and its ornaments, the window recesses, and door-cases, and the capi- tals of columns and projection. Besides the usual plans, elevations, and sections, there should also be detailed drawings, answering, in some respect, to what are termed working drawings ; these give a more cor- rect idea of the minutite and finishing of the subject than can be obtained from the general design only. In a complete design, however, it is desirable to have per- spective views both of the exterior and principal parts of the interior. These enable a person to comprehend the character and effect of the design as a whole, which, without such draw. ings, can be judged of only piecemeal. The perspective drawing of the exterior ought to exhibit the edifice from one of the most frequented points of View, and ought also to be so contrived as to make it impressive from every point whence it can be seen, and particularly from those positions in which the greatest part of the design is comprehended at one view. In very large works, a model will be useful for preventing many mistakes that might otherwise arise, as all the parts can be easily seen by inspection; but when drawings only are used, from the number that are necessary to the perform- ance of the work, a long examination and consideration are requisite ; and after all, some of the most essential parts of the construction may be, and frequently are, overlooked. For other particulars respecting designs, we refer to the articles APARTMENT, BREAK, BUILDING, HOUSE. DESIGNING, the art of delineating or drawing the appearance of natural objects by lines on a plane. DESK, a part of a pulpit; as the clerk’s or precentor’s desk ; also a kind of rostrum where the clergyman reads the printed service of the English church. DESTINA, Latin, a pillar or other support of a building, in which sense the term is used by Vitruvius; but when employed by ecclesiastical writers, it is usually applied by them to the aisle of a church, or to a small cell. DETACHED COLUMN, the same as INSULATED COLUMN, which see. DETAIL, (from the French, dt‘tailler) the delineation of all the parts of an edifice, so as to be sufficiently intelligible for the execution of the work. The detail is otherwise denominated the working drawings. The expression detail is also used in other ways, as, when a moulding is exhibited in profile by abutting on a plane, it is said to detail on the plane. Details in the fine arts are minute and particular parts of a picture, statue, or building, as distinguished from the general conception, or larger parts of a composition. DE'I‘ERIORAT ION, (from the Latin, deterior) the act whereby a thing is rendered worse. This was the fate of architecture in passing from the Greeks to the Romans, and more particularly in the decline of the Roman empire. DlA DETERMINATE, a word applied in mathematics to those problems which have one answer only, or at least a certain and finite number of answers. - DETERMINING LINE, in conic sections, the Intersec- tion of a plane parallel to the cutting plane with the plane of the base of the cone. In the sections of a cone which produce the hyperbola, the determining line falls within the base of the cone; in parabolic sections, it- forms a tangent to the base. In the elliptic section, it falls without; and when the section is a circle, the determining line will, in one case, never meet the plane of the base, as in this instance the cutting plane is parallel to the plane of the base. - DIACON ICON, (from Bianca/cw, I serve, I mimster) a place adjoining to the ancient churches, where the sacred vestincnts, vessels, relics, and ornaments of the altar, were preserved. This apartment was otherwise called sacristy. It was also denominated aa-n- eucov, and in Latin, salutatorium ,- because it was here that the bishop received and saluted strangers. Sometimes it was called ,unrarwptoy, or ,uirarwpiov, mensa, on account of the tables kept there. DIAGONAL, (from the Greek, Biaytiwwc) in geometry, :1 line drawn through any figure, from the vertex of one angle to that of another. Every rectilinear figure may be divided into as many triangles, wanting two, as the figure has sides. Every diagonal divides a parallelogram into two equal parts. A most excellent theorem in elementary geometry, first demonstrated by Mr. Lagny, in the Mémoires de l’Academz'e Rog/ale des Sciences, an. 1706, is, that the sum of the squares of the two diagonals of every parallelogram is equal to the sum of the squares of the four sides ; and it is evident that the 47th proposition of Euclid may be derived as a mere corollary from this theorem. The demonstration is as follows: Let A B C D be an oblique parallelogram, of which BB is the greater diagonal, and AC the lesser. From the vertex, A, of the obtuse angle D A B, drop the perpendiculars A E and B F to C D; then the triangles A D E, B C F, are equal and similar; for A D is equal to B C, and the angles ADE and BC F are equal to each other; also, the angles A E D, and BF C, are equal to each other; consequently, DE is equal to CF Now, by proposition xii. lib. ii. of Euclid, in the obtuse-angled triangle B D C, the square of the side B D is equal to the sum of the squares B C, C D, together with double the rectangle C F by C D ; and by the 13th proposition of the same book, in the triangle D A C, the square of A C is equal to the sum of the squares of A D and C D, abating double the rectangle of C D by DE equal to C F; for CF is equal to DE : now, Since BD°:BC’+CD’+2(OE x CD) and AC2:AD’+AB’-—2(CF x CD) Therefore RI)2 +Ac9 : BC’ + CD? +AI)2 +AB’ Then, if the parallelogram be right-angled, the diagonals are equal, and consequently each equal to the squares of the two sides containing other right angles Opposite that diagonal. Hence, if one of the diagonals and a side be known, the ether diagonal will likewise be known. Another proposition, of a similar nature to the above, was discovered by Ptolemy, viz., that the rectangles of any two diagonals of a quadrilateral figure inscribed in a circle, is equal to the sum of the two rectangles contained by the opposite sides. In taking the dimensions of a building, in order to make a plan, it is by far the most accurate and expeditious method, to take the diagonals. In carpentry and joinery, no polygonal 267 DIA frame whatever can be rendered stationary or immovable about the angles, without diagonal pieces, as the strength consists in dividing the work into triangles. In geometry, a polygon cannot be constructed by the linear dimensions of its sides only, without the diagonals, as the area of the figure may be variable under the same number of sides, ad infinitum, from a certain position of the sides, in which they will con- tain the greatest possible area to any less area whatever. The impulse given to a body, at the same instant, by two forces, in difi'erent directions, causes that body to move in the diagonal of a parallelogram, of which, each of the forces acting separately, would cause the body to describe a side, in the same time as the body moved conjointly by the two forces. DIAGONAL BUTTREss, a buttress placed at the angle of a building, chiefly used in churches of mediaeval date, and employed to resist the thrust of the ribs of the last severy of the vaulting. It answers the same purpose as two distinct buttresses set square with the two walls at their intersection, but with less material. Diagonal buttresses do not seem to have been employed to any extent previous to the fourteenth century, but are common in buildings of the Decorated style. Previously, two buttresses at right angles were employed. DIAGONAL MOULDING, the same as ZIG-ZAG or DANCETTE. DIAGONAL PAVING. See PAVEMENT. DIAGONAL RIB, a rib or groin passing diagonally across a bay of vaulting from one angle to the Opposite. DIAGONAL SCALE, a compound scale, by which a subdivision may be made of any part of the smallest unit upon a straight line, by means of equidistant parallels crossing others of the same kind. ' DIAGRAM, (from 3La79a¢w, I describe) in geometry, a scheme for the explanation or demonstration of a figure. DIAL, (from the Latin, dies, day) an instrument serving to measure time by the shadow of the sun. Or more par- ticularly, the surface of a body so graduated that a certain line parallel to the earth’s axis will show the hour of the day, when the sun shines upon the surface of such body. DIAMETER, (from 5m, through, and psi-pew, to measure) a straight line passing through the centre of a circle, and terminated at each end by the circumference; the diameter is therefore a chord passing through the centre of the circle, and is consequently greater than any other chord in the same circle. The diameter of a circle divides the circumference into two equal parts. For other particulars, see the article CIRCLE. DIAMETER OF A COLUMN, the thickness of the lowest part of the shaft at the bottom. In a colonnade, or range of columns, the intercolumns should always be proportioned to the diameter of the column. DIAMETER OF A CONIC SECTION. See CONIC SECTION. DIAMETER, Conjugate. See CONIC SECTION. DIAMETER 0F DIMINUTION, the diameter at the top of the shaft. DIAMETER or A SPHERE. See SPHERE. DIAMETER, Transverse, the longest axis of an ellipsis. DIAMETERs, Conjugate, of a circle, two diameters at right angles DIAMOND, an instrument for cutting glass. DIAMOND, the small instrument used by glaziers for cutting glass, and formed by the setting of a fractured piece of diamond in a wooden handle. There are now in use two descriptions of pencil diamonds, the old one, and the new or patent pencil. The defect of the former is the difiiculty experienced in placing it on the glass in, at once, the proper angle, so as to make it cut and not scratch. The patent DIG 268 DIL pencil overcomes this difficulty, the diamond being fixed by the peculiar mode of its setting at the correct angle at which it will cut the glass. The diamond in these pencils is about the size of an ordinary pin’s head, and is set in a nipple of brass or copper. They are differently fitted up, according to the quality of the material which they are to work upon. DIAMOND FRET, a species of moulding consisting of fillets intersecting each other, so as to form diamonds or rhombuses. DIAMOND, Glass. See GLASS. ‘ DIAMOND, Pavement. See PAVEMENT. DIANA, Temple of. See TEMPLE. DIAPER, a panel or recessed surface enriched with carving in low relief, and frequently gilded and coloured; or a plain surface enriched with polychrome. Also a kind of linen-cloth wrought with figures in weaving. DIAPERING, the decoration employed in the relief of any plain surface, by the interweaving of fret-work, or covering the field with ornamental patterns. In some cases, it consists in the application of colour only, but in others of embossed or carved work, delicately chiselled, and also enriched with gilding and colour. Diaper-work is usually composed of small square panels, containing flowers in low relief, as in the spandrels of the choir arches, and in other parts of Westminster Abbey. There is a beautiful specimen of later date on a monument in the choir of Canterbury cathedral ; the design is composed of a flower of six leaves in low relief, within a sexagonal compartment, the sides of which are formed by the sides of six spherical triangles, and are foliated within, and coloured azure and gules. Another specimen is to be seen in the Lady Chapel, Ely, at the back of the canopies of the ornamental arcade which surrounds the walls; others at Waltham 3 Cross, and in many buildings erected during the reigns of ‘ Henry III. and Edward I. 1 vestments, 8m. Diaperings of a rich and taste— ful design were also employed in ecclesiastical hangings, Some very beautiful designs may be seen in Pugin’s Glossary. . DIASTYLE, (from Bra, and euxog, a pillar) in classical architecture, that distance between columns equal to three diameters of the column ; or the word is applied to the edifice 3 itself, in which columns are applied at this interval. DIATHYRA, the vestibule in front of the doors of a. Greek house, answering to the prothyra of the Romans. DIATONI, quoins or corner-stones bonding two walls together. DIDORON, (from the Greek) a kind of brick used by the Greeks, being one foot long and half a foot broad. DIE, ofa pedestal. that part contained between the base and the cornice. See DYE. DIFFERENTIAL, a term used to denote an infinitely small quantity. The differential method is applied to the doctrine of infinitesimals; it consists in descending from whole quantities to their infinitely small differences, and comparing them. Hence it is called the differential calculus or analysis of infinitesimals. DIGGING is performed by the solid yard of 27 cubic feet. In soft ground, where only cutting with the spade is , necessary, a man will throw up a cubic yard in an hour, or 10 cubic yards in a day. But if hacking be necessary, .1 an additional man will be required; and very strong gravel ; will require two. The rates of a cubic yard depending thus upon each circumstance, they will be in the ratio of the arithmetical numbers 1, 2, 3. If, therefore, the wages of a labourer be 2s. 6d. per day, the price of a yard will be 3d. for ‘ cutting only ; 6d. for cutting and hacking; and 9d. when two hackers are necessary. In sandy ground, when wheeling is requisite, three men will be required to remove 30 cubic yards in a day, to the distance of 20 yards, two filling and one wheeling; but to remove the same quantity in a day, to any greater distance, an additional man will be required for every twenty yards. To find the price of removing any number of cubic yards to any given distance : Divide the distance in yards by 20, which gives the number of 30 cubic yards—Then, of 30 cubic yards to the cost of the whole. to the distance of 120 yards, a man’s wages being three shillings per day? 2,0) 12,0 6 number of wheelers. 2 fillers. 8 men employed. 3 shillings per day. 24 price of 30 cubic yards. 2750 X 24 —— : £110. 30 See farther under EXCAVATION. DIGLYPH, (from the Greek, Ecykvqbog), a tablet with two engravings or channels. DIKE, or DYKE, (from the Saxon, die, a bank, or mound), a work of stone, timber, or earth, supported by fascines, raised to oppose the entrance or passage of waters of the sea, a river, lake, or the like. These dykes usually consist of ele- 30 z‘ 2750 : z 24 : and other matters. DILAPIDATION, (from the Latin), the state of a build- ing suffered to fall into a ruinouscondition by neglect. The down or destroying the houses or buildings belonging to an are few families who have not had occasion to feel how much of annoyance, inconvenience, and loss, may be hidden under the word dilapidations. In the “Builder” of January, 1849, there appeared an by one well acquainted with it, we consider its insertion here will be both interesting and useful :— “ This subject,” says the writer, “is one that has never received proper consideration from the hands of a large class who are interested and affected by it—‘ tenants.’ Men who are daily imposing upon themselves heavy responsibilities, the extent, or the peculiar obligations, and the ultimate result of which they are totally unacquainted with. “ Few persons on taking a lease think of raising objections to covenants which are, they are informed, of the usual character; or, if prudent enough to pledge themselves to an agreement of but three years, they fearlessly, and without hesitation, afiix their signatures to a clause promising to ‘uphold, maintain, and sustain,’ &c., or that which really may turn out an impossibility; for some houses, so to speak, As 30 cubic yards is to the whole number, so is the price of wheelers ; add the two cutters to the quotient, and you will , have the whole number employed ; multiply the sum by the ‘ daily wages of a labourer, and the produce will be the price ‘ Example—What will it cost to remove 2,750 cubic yards, 3 vations of earth, strengthened with hurdles or stakes, stones, 1 term is usually restricted, in its legal sense, to the pulling ? ecclesiastical benefice, or suffering them by neglect to fall ‘ into ruin or decay. In the experience of every-day life, there . excellent letter on this subject, and as it is evidently written a t have the elements of destruction and disease upon them from 1 DIL their infancy. Bad brickwork, causing by its humidity damp walls, rots everything; unseasoned timber, that shrinks and twists in all directions, throwing floors out of their level, and making settlements from top- to bottom, through which the- doors and windows have to be constantly eased- and- rehung ; faulty and imperfect drainage, which becomes constantly choked ; the roof acting like a sieve; and this list of ills that modern houses are heir to, is no exaggeration; yet manya man, and he, too, who may be esteemed: in his own business a prudent man, is induced, from a want of consideration, readily to promise to do and perform all needful and neces- sary repairs, or at least to leave the house in tenantable repair. It is not a little amusing to observe the tenant’s sur- prise at the end of his tenancy, on receiving a notice of dila- pidations. What 2' he exclaims, and leave the house 100 per cent better than when I took it ? This, and the various sums of money paid. to jobbing tradesmen, all the accounts of whom he can enumerate by heart, constitute the anchor of hope to the poor tenant, when informed, in spite of all the benefits the house has derived from him during his tenancy, that still such and such are dilapidations, and as such he is answerable for their being reinstated. In the present age, remarkable for the number of scantily-constructed houses, with so nice and clean, yet deceitful, an exterior, invitingly waiting for tenants on lease or agreement, it cannot fail to be useful to consider the nature of the obligation that exists between land- lord and tenant upon the hire of house-property; for as mis- takes will happen in the best regulated families, so do the friendship, and good understanding that may have existed between; landlord and tenant suddenly cease with. the termi- nation of the lease. Covenants to repair, when once entered into, are irrevocable ;, it is, therefore, most important that each party should clearly understand what constitutes repairs or dilapidations, and as to all defects, whether they arise from accident, neglect, or decay, and by which party they are t be made good. a; “ A landlord, on making a claim from his tenant for dila- pidations, must Show that (they are such as were stipulated for in the lease, as the obligation on the part of the tenant to make good, varies, in nearly every case, according to the different covenants of the lease, by which the tenants are bound by more or less stringent clauses, involving greater or less responsibilities. “ Mr. Gibbons, in, an excellent treatise on, this subject, defines dilapidations as the act or default of a person having to use a tenement to the injury of another having a right, to the same tenement, or a tenant’s obligation may be considered as depending on the old maxim—“ You must not injure an: Other’s property, but use it as your own.” ' “ It is an imperative act ofjustice to himself for the future tenant to make a stipulation that, previous to the commence-_ ment of his tenancy, the premises shall be surveyed ; so that, if then there can be considered anything unsound or defect tire on the premises, it may be made good before the agree- ment is concluded, otherwise the tenant will find that he must make good all, whatever was the state of repair when he took possession, of the premises. “ Houses held on lease—In the case of premises being let on lease, a tenant should not be compelled to supply and make good defects that may arise from time, and use, because, as the tenant bargained for use, and gives to the owner an equi-_ valent rent, the landlord has a claim only for a restoration of the tenement as injured by the tenant, but has no right to make a claim for the wear to be made good ;_ but then, as the tenant agrees to keep the house in tenantable repair, he is bound to. supply all occasional and. accidental defects which may expose the premises to premature decay. Accidents 3 z 269 DIL happening during his tenancy, if not inevitable, must be made good by the tenant, for it is fair to presume, that had he adopted proper precautions, the accident might have been prevented ; therefore, there exists an obligation not to suffer d-‘ilapidations, and it is evident that the tenant is equally bound not to do any act that will cause an: injury to the tenement. “ Voluntary waste means an alteration in the tenement, it being held in: law that a lessee cannot change the nature of the thing demised ; the act of alteration exceeds the right to use, and infringes on the condition that the landlord shall receive back the premises in the same state and condition as when the lease was granted. It is, therefore, essential that a tenant contemplating an. alteration or improvement should receive proper permission and authority from the landlord.” “Pemissive waste consists of a neglect on the part of a tenant to supply the repairs required by time and use, and also a neglect to make good occasional and accidental dilapida- tions. Houses and outbuildings are the principal subject of dilapidations, but the law extends to trees, land, changing the course of industry, &c. but the chief subject is buildings. These, though subject to decay in the progress of time, are capable ofhaving the defective or decayed parts made good, and are therefore subject to both permissive and voluntary waste. “A tenant hiring premises on lease is bound to perform tenantable repairs, which may be divided into three heads,— the ornamental, which includes the trades of painter and paper-hanger; the substantial, which includes the trades of bricklayer and carpenter; the third includes all works which tend. to preserve the fabric from decay—as, stopping out wind and weather, which includes. the trades of the joiner, plas- terer, and glazier. “ Dilapi‘dations caused by accident are very serious upon a tenant, as not only is the accident considered as a dilapida- tion, but injuries arising therefrom, of- which the following is an illustration from Mr. Gibbons :—“rIfabu-ilding be covered with weather-boarding, and such boarding decay from age, so long as it forms an entire and, complete covering, it is no dilapidation ; but if, owing to any neglect, any of the internal woodwork become injured, thatis a dilapidation. If the main timbers decay, they are not chargeable as a dilapidation, so long as they are an efficient support ; but if they give way, the tenant is bound not only to) replace the timbers, but all damage done by their fall. Accident, shown to be inevitable, such as resulting from tempests, does not fall upon the ' tenant, as in the case of a house being prostrated, the tenant need not rebuild, but if'the roof be blown ofl“, the tenant must replace it. A tenant, generally speaking, is not answerable for dilapidations resulting from natural decay, or the result of time, or fair ordinary wear and tear, but is answerable for- all extraordinary decay. For instance, as to decay caused by the premises being exposed to the weather, as if the roof he suffered to go in bad repair, the tenant must make good the rafters and other timbers, if they are injured. Lord Chief Justice Tindal defined a tenant’s obligation to repair thus :— “ Where an old building is let, and the tenant enters into. a covenant to repair, it is not meant that the old-building is to be restored in a renewed form at the expiration of his tenancy, or that the premises shall be of greater value than it was at the commencement. What the (natural operation of time flowing on effects, and all that the elements bring about in diminishing the value, which, so far as it results from time and nature, constitute a loss, falls upon. the landlord. But then the tenant must be careful that the tenement do not suffer more than time and nature would effect. He is bound to keep the premises in nearly the same state of repair as when demised.” DIM 270 DIM “An annual tenant’s obligation has been thus laid down by Lord Kenyon :——‘ A tenant from year to year is bound to commit no waste, and to make from time to time fair and tenantable repairs, such as windows and doors that be injured during the tenancy.’ Lord Tenterden decided that ‘ an annual tenant was bound to keep the premises wind and water tight.’ “ It seems but justice, that under any mode of letting or hiring of house property, a tenant should be bound to use all ordinary precautions to preserve the building from decay ; therefore there exists an obligation to keep the outside and the roof sound, perfect, and water tight ; and if the internal woodwork decay sooner than it otherwise would do for want of paint, &c., the tenant is bound to restore it. Glass, if cracked or broken, becomes dilapidation, it being an outside covering. “ A tenant with no agreement as to duration ofhis tenancy, cannot be bound to perform any repairs, the nature of his tenancy being so weak that he cannot be expected to do any repairs, as his landlord might immediately determine his tenancy, and reap the advantage to be derived from the out- lay : besides, if the house require any repairs being done, the landlord can enter, and take any necessary steps for its pre- servation ; but not so with premises let for a definite time,— then, the landlord having granted the use for a certain period, has not a right to enter upon the premises until the expiration of the tenancy. Atenant under this mode of letting, is, how- ever, bound neither to commit nor permit waste. This kind of tenancy may be considered rather as a ‘ deposit than as a. letting on hire,’ and the tenant’s obligation may be defined as ‘to use the house with care.” The above extract gives a very clear and concise descrip- tion of the responsibilities undertaken by tenants under varied forms of tenancy. It is well worthy the attentive perusal of the young professional man, and indeed the whole subject of dilapidations is an important one, requiring his care- ful study. It is one on which he is very frequently called upon to advise ; and he will scarcely be competent to do so unless well acquainted with the just claims of the landlord, and the fair obligations of the tenant. To give in a list of repairs required to be done, is simple enough in acting for the landlord, but the surveyor should be well assured from a practical acqaintance with what really are dilapidations, to what extent he isjustified in calling on' the tenant to do them. DIMENSION (from the Latin) a principal distance mea- sured in a straight line on the surface of a body, in some particular direction, or through some certain point, by the help of which the body may be constructed or measured as to its superficial or solid contents. The dimensions of rectangular figures and solids are taken along, or parallel to the straight lines which bound their sur- faces ; and consequently rectangles have two dimensions, viz. length and breadth, and rectangular prisms three dimensions, viz. length, breadth, and thickness. The dimensions of a paral- lelogram are the length of one side, and the distance from that side to the opposite side of the same, so that the two dimensions of a parallelogram are at right angles to each other. The dimensions of any plane figure are the lengths of the sides and diagonals. The dimensions of a circle are its radius, diameter, or circumference, or all. The dimensions of a regular polygon are the length of one of its sides, and their number. The dimensions of any prism are the dimen- sions of one of its ends or bases, and the perpendicular or distance between the said ends or bases. The dimensions of a pyramid are the dimensions of its base, and the distance or perpendicular from the apex to the plane of the base. The dimensions of a sphere are its diameter or circumference. ll The dimensions of a spheroid are the fixed and revolving axes. The dimensions of an irregular surface or body are in a great measure arbitrary. The dimensions of an irregular surface are thus taken : Fix upon some principal line passing through the middle of the body in the direction of its greatest extension, as nearly as can be judged ; then divide the length of this line into equal parts ; through the points of division, draw perpendiculars, terminated by the boundary; then the length of the first line and of the perpendiculars are the dimensions. The dimensions of a definite body may be limited as to number, and the body may be accurately ascer- tained, either with regard to its construction or solidin ; but an indefinite body can never be ascertained for either, what- ever may be the number of its dimensions : greater accuracy, however, will be obtained, the greater the number of dimen— sions taken. The dimensions of an irregular plane figure or solid, ought to be taken in equidistant lines or planes. The subjects to which dimensions are applied belong to geometry, mensuration, and the construction of solids. The method of squaring dimensions will be found under the articles CROSS MULTIPLICATION, DECIMALS, and DUO- DECIMALS. In writing the dimensions of a body, consisting of many difi'erent parts, in order to avoid mistakes, an eye-draught, or sketch of the body, should be made, and two angles, each with its apex fixed in the opposite extremities of the exten- l l sion, with a number placed between them to denote the ‘ length of the line : thus, { ----- 36 ft. ----- } denotes 36 feet between the point of one angle and that of the other: the opening of each angle is always turned towards the centre of the line. By this method no mistake can occur, even though ever so many other dimensions cross one another, unless they come so close as to confuse. Simple rectangles, or rectangular prisms, are most. frequently written down without any eye-draught, and the dimensions entered in the book with a cross between each, or the word BY ; thus, for a rectangle, 3 .. 9’ X 4 .. 8', or 3 .. 9' by 4 .. 8' ; that is, 3 feet 9 inches by 4 feet 8 inches ; the mark thus ', signifyng that the figures below are inches, and consequently that the first is the place of feet. A solid is thus denoted, 5 . . 3' X 4 . . 8' X 12 .. 6', or 5 .. 3’ by 4 .. 8' by 12 ..6'; that is, the end, or base, is 5 feet 3 inches by 4 feet 8 inches, and 12 feet 6 inches from end to end ; or the solid is 12 feet 6 inches long, 5 feet 3 inches broad, and 4 feet 8 inches thick. In finding the contents of artificers’ works in buildings, the dimensions are placed one under the other, according to their denominations, and the surface or solid is known by the- number of its dimensions ; in order therefore to distinguish any set of dimensions from the next, whether above or below, a horizontal line must be drawn between them. See the article Bmcxwonx. DIMENSION Boon, a b00k in which the measurement of the builder’s work is entered, specimens of which are given- under the head BRICKWoRK. DIMINISHED BAR, of a sash, one that is thinner on the inner edge, or the edge next to the apartment, than where it recedes close to the glass, in order to give it a lighter appearance. DIMINISHED COLUMN, one whose upper diameter is less than the lower ; as is to be seen in all the regular orders 0! architecture. Dinmisume RULE, aboard cut with a concave edge. sc as to ascertain the swell of a column, and try its curvature; For the method of forming a diminishing rule, see COLUMN. .DIMINISIIING SCALE, a scale of gradation, used in finding the different points for drawing the spiral curve of the 1011i: volute, by describing the arc of a. circle through every thret DIN 27 I DID succeeding points, the extreme point of the last are being one of the next, three: each point through .which the curve passes being so regulated as to be in a llne drawn to the centre of the volute, and the lines at equal angles With each other. See SPIRAL and VOLUTE- DIMINU'l‘ION OF COLUMNS, the continued contrac- tion of the diameter, from the base to the top of the shaft. Some modern authors make the diminution to commence from one-third of the height of the column; but if ancient methods are to have a preference, we shall find few examples to authorize this practice. In all the Grecian antiquities of Athens, or Ionia, the diminution commences invariably from the bottom of the shaft, immediately above the apophyge: and, according to the engravings from Stewart’s drawings, the diminution is continued in a straight line, excepting in the Temple of Corinth, where the swell is shown. The diminu- tion is rarely less than one-eighth, or greater than onevsixth, of the inferior diameter. In Gothic architecture, neither swell nor diminution is used ; all the horizontal sections being similar and equal. In ancient examples, even of the same order, the diminu- tion is very variable. ()ther particular remarks will be found under COLUMN. DlNlNG-RCCM, an apartment in a house, appropriated to the eating of dinners. The dining-room and drawing-room ought to have some relation to each other in point of size, as the company move from one to the other. In the smallest houses, the dining—room ought to be the largest, and nearly square upon the plan. In houses of a middle size, they are very frequently of the same magnitude, which may be 18 teet in breadth, 24 feet in length, and 13% feet in height, or 3-4ths of the breadth. In larger houses, the length may be extended to 40 feet; and in very considerable edifices even to 50 feet x in the latter case the length may be double the breadth. Dining-rooms are sometimes fitted up with a recess at one end for receiving the side-board; but if the apartment be very large, a recess at each end is necessary: these recesses may be either square, or in the form of a niche. See HOUSE, and Roost. DIN ()CRATES, an eminent architect, patronized by Alexander the Great; whose history is thus related by Vitru- vius :—-—“ At the time that Alexander was conquering the world, Dinocrates, the architect, confiding in his knowledge and genius, and being desirous of obtaining the royal com- mendation, left Macedon, and repaired to the army. He carried with him letters from his relations and friends in his own country, to the nobles of the first rank, that he might thereby more easily gain access. Being favourably received, he requested to be immediately presented to Alexander; they gave him many promises, but made delays, pretending to wait till a proper opportunity should offer. Dinocrates, therefore. suspecting that he was derided, sought the remedy from himself. He was very large of stature, had an agree- able countenance, and a dignity in his form and deportment. Trusting to these gifts of nature, he clothed himselfin the habit of a host, anointed his body with oil, crowned his head with boughs of poplar, put a lion’s skin over his left shoulder, and holding one of the claws in his right hand, approached the tribunal where the king was administering :ustice. The novelty of the appearance attracting the notice of the people, occasioned Alexander also to see him, who, wondering at the sight, commanded way to be given, that he might approach. Alexander then demanded who he was. Dinocrates replied, ‘ I am a MacedOnian architect, who come to thee with ideas and designs, worthy of the greatness of thy fame; I have formed a design to cut Mount Athos into the statue of a man, in whose left hand shall be a large city, and in his right a bason, which shall receive all the rivers of the mountain, and again discharge them to the sea.’ Alexander, delighted with the idea, immediately inquired, if the country adjacent would produce sufficient food for the sustenance of the inhabitants. When he understood that provision must be conveyed thither by sea, he replied: ‘ Dinocrates, I discern the excellence of thy design, and am pleased with it; but I consider, that whoever should establish a colony in such a place, would hereafter be justly blamed; for, as a new—born infant cannot be nourished, or gradually reared to the different stages of life, without the milk of the nurse; so neither can a city he peopled, nor can it thrive, without fertile land and plenty of provision: however, as I approve the design, though I disapprove the place, I will have thee attend me, that elsewhere I may employ thee.’ From that time, Dinocrates remained with the king, and- attended him into Egypt. There Alexander, observing a spot which had a haven formed secure by nature, an excellent place for an emporium, the adjacent country through all Egypt being fruitful, and having the accommodation of the river Nile, ordered him to build the city now called, from his name, Alexandria. Thus, by the means of a graceful countenance and dignity of person, Dinocrates became eminent.” Dinocrates was also employed to superintend the rebuild- ing of the temple of Diana, at Ephesus, when burnt by Erostatus, which he did with more magnificence than before. The last design which history ascribes to him, was that of erecting a temple to Arsinoe, queen of Ptolemy Philadelphus, at Alexandria, with a dome above it, which was to enclose a magnet, in order to keep suspended in the air an iron statue of that queen. Ptolemy approved the design, and gave orders for its execution; but both the king and the architect died before the project could be accomplished. DIOPHANTINE PROBLEMS, in mathematics, certain questions relating to square and cube numbers, and right- angled triangles, &c., the nature of which was determined by Diophantus. DIOPHANTUS, a celebrated mathematician of Alexan- dria, reputed to have been the inventor of algebra. The exact date of his birth is unknown ; some authors asserting that he lived before Christ, and others after, in the reigns of Nero and the Antonines. His reputation was very high among the ancients, since they ranked him with Pythagoras and Euclid in mathematical learning. Diophantus left behind him thirteen books of arithmetical questions, of which, however, only six are extant. DIORAMA, a mode of painting and scenic exhibition invented a few years ago by two French artists, Daguerre and Bouton. The peculiar and almost magical effect of the diorama arises, in a great degree, from the contrivance em- ployed in exhibiting the painting, which is viewed through a large opening or proscenium. Within this proscenium the picture is placed at such distance, that the light is thrown upon it, at a proper angle from the roof, which is glazed with ground glass, and cannot be seen by the spectators. While the light is thus concentrated on the picture, the spectators are left in comparative darkness, by which the effect is materially increased; and the illusion is rendered still more complete, by the skilful manner in which the transitions of light are managed. The light may be diminished or increased at pleasure, and that either gradually or suddenly, so as to represent the change from ordinary daylight to sunshine, from sunshine to cloudy weather, or to the obscurity of twilight, and also the difference of atmospheric tone attending them»- By means of different folds or shutters attached to the glazed ‘U’ DIO 272 DIS ceiling, transitions are produced in regard to light and atmos- pheric effects of the most pleasing character. The diorama is indeed a most perfect scenic representation of nature; by varied and ingenious contrivances, it is capable of displaying the greatest difference in its pictures. It is peculiarly adapted for moonlight subjects, and for exhibiting such “accidents” in landscapes as sudden gleams of sunshine and their dis- appearance. For showing architecture, particularly interiors, it is unrivalled, as powerful relief may be obtained without that exaggeration in the shadows which is almost inevitable in every other mode of painting. Although as yet only employed for purposes of public exhibition, the diorama might undoubtedly be made use of for the embellishment of such parts of a building as corridors and the like, where light can only be obtained from one extremity. The Diorama in the Regent’s Park, was erected for the exhibition of pictures with the effects we have been describing; and as one of the most interesting and remarkable of the ‘sights of London,” deserves a passing notice. The pictures exhibited are each about 72 feet long, and 42 feet wide, and are capable of being shifted and exchanged for others when required. They are placed at distances from the spectator proportioned to the angle at which he would view the objects in nature ; and by the united talents of the artist and the machinist, the illusion is rendered so perfect, and so true to nature, that the beholder is almost led to doubt that they are really the effect of art. Thus in architectural subjects, as the interior of a cathedral, the whole is at one moment subdued by gloom, as by the overshadowing of some passing cloud. The “long—drawn aisle” and deep recesses are obscured, all seems about to be buried in darkness, when, in an instant, as though the interruption had passed away, and the bright light of day was permitted to shine through the windows in its full lustre, the Gothic architecture is illumined in the most beautiful manner, the shadows projected with force and truth, and the secondary lights produced beneath the groinings of the roof in all the delicate gradations of natural reflections. Landscape scenes undergo similar changes, and admirable effects are produced in the transitions from shade and darkness, to the brightness of light and sunshine. The elevation of the building was designed by Mr. Nash ; it is of the Ionic order, the basement embellished with columns and pilasters, &c., the centre of which is the approach to the theatre. The building consists of a vesti- bule and two lateral houses, facing a circular part of the edifice, which may be regarded as the audience-room of the theatre, and is occupied by boxes and an open area for spectators. The sides of this circular part are painted and adorned with festooned draperies, and the top is covered with a transparent painting, divided into many compartments, and charged with medallion likenesses of several eminent artists, Over this semi-transparent ceiling, or inner roof, rises a coni- cal roof, nearly half of which is glazed. The circular part consists of a wall, two-thirds of a circle, with two small doorways, and two large openings to the compartments of the scenic theatre. Immediately within this wall, but detached from it, is another wall, rising from the floor to the inner ceiling, and which, with the floor, revolves on a pivot, beneath. A large square opening, like the proscenium of a theatre, allows the audience to view the pictures. The Diorama was opened to the public in October, 1823, and has ever since continued to be visited as one of the most popular exhibitions in the metropolis. DIPTERON, or DIPTEROS, (from the Greek), or DIP- TERE, (from the French), in ancient architecture, a temple surrounded with a double row of columns, forming a sort of porticos, called wings, or aisles. Vitruvius informs us, that dipteral temples were octostyle; but this he must mean only in general; for they may be also decastyle. Indeed, they could not have been less than octostyle, as no room would have been left for the cell. The same author also observes, that Hermoginus made a very great improvement in the con- struction of dipteral temples, by taking away the interior range of columns, which occasioned confusion in the perspec- tive appearance. DIRECT RADIAL, a right line from the eye, perpendi- cular to the picture. DIRECT ING LINE, the line in which an original plane would cut the directing plane. DIRECTING PLANE, a plane passing through the point of sight, or the eye, parallel to the picture. DIRECTING POINT, that in which any original line pro- duced cuts the directing plane. DIRECTOR or AN ORIGINAL LINE, the straight line passing through the directing point and the eye of the spectator. DIRECTOR or THE EYE, the intersection of the plane with the directing plane, perpendicular to the original plane and that of the picture, and hence also perpendicular to the direct- ing and vanishing planes; since each of the two latter is parallel to each of the two former. The director of the eye is also sometimes called the eye director. DIRECTRIX, or DIRIGENT, in geometry, a term express- ing the line of motion along which a describent line, or sur- face, is carried in the genesis of any plane or solid. Thus, if the line A B move parallel to itself, and along the line A C, so that the point A always keeps upon the line A C, it will form a parallelogram, A B C D, of which the side A B is the describent, and A C the dirigent. So, also, if the surface A B C D be supposed to be carried along the line C E in a posi- tion always parallel to itself, in its first situation, the solid A D E 11 will be formed, when the surface A D is the descri- bent, and the line C E is the dirigent. DIRETTA, the same as GOLA, or SmA-RECTA, which see. DISCHARGE, (from the French), a term applied to a. brick wall, or post, when trimmed up to a piece of timber overcharged in its bearing ; in which case the wall or post is a discharge to that bearing. DISCHARGING Ancnns, rough brick or stone arches, built over the wooden lintels of apertures. These are scheme arches, being the segments of very large circles. Dis- charging arches are employed in the inside of external walls, or in partition walls. The length of the chord of a dis- charging arch should exceed that of the wooden lintels beneath, so that when the wood begins to decay, the lintels may be taken out, and the arch will be sufficient to sustain the superincumbent part of the wall, as well as that the arch may be sustained by the walls, and not have any dependence upon the lintels. To make the arches resist with greater force, the lintels should not have more wall-hold than what may be found sufficient to sustain the superincumbent part while building: indeed, if walls be well built, upon firm ground, wooden lintels may be dispensed with. DISCHARGING STRUTS, the same as auxiliary rafter, or principal braces : the term is used by Batty Langley. DISH-OUT, to form coves of any kind by means of ribs, or to form wooden vaults for plastering upon. DISlllNG-OUT, any kind of coved work formed by wooden ribs, for plastering upon. The term is of the same import as cradling. DISPLUVINATED CAVEEDIUM. See CAV.£DIL'M. DISPOSITION, (from dispouo, to place), in architecture, j the just placing of the several parts of a building, according; DIS 273 DOD to their use ; as, disposition of apartments, disposition of columns, as eustyle, diastyle, pichnostyle, &c. DISTANCE OF THE EYE, in perspective :—-If a straight line be drawn from the eye, perpendicular to the plane of the picture, the intercepted part of such line is termed the dis- tance of the eye. DISTANCE, Point of: See POINT OF DISTANCE. DISTANCE OF A VANISHING LINE, the length of a perpen- dicular, falling from the eye perpendicular to the vanishing line. DISTANCE, Inaccessible. See TRIGONOMETRY. DIS'I‘EMPER, (from the French, détremper, to temper, or dilute), in painting, the working up of colours with something besides mere water or oil. If colours be prepared with water, the painting is called liming ; and if with oil, it is called paint- ing in oil, or simply painting. If the colours be mixed with size, whites of eggs, or any such proper glutinous or unctuous substance, and not with oil, they then say it is done in distemper ; as those of the admirable cartoons, formerly at Hampton Court, and as all ancient pictures are said to have been before the year 1410. In distemper, the white colour or base generally used is the finest whiting, which is prepared in large quantities by vari- ous manufacturers. The colours most commonly mixed with it for producing the various tints are as follows :—Straw colour may be made with white and masticot, or Dutch pink ; fine grays, with white and refiner’s verditer; an inferior gray may be compounded with blue black or bone black, and damp blue or indigo; pea-greens, with French green, Olympian green ; and fawn colour, with burnt sienna or burnt umber and white, and so of any intermediate tint. All the colours used in distemper, should either be ground very fine, or washed over so as to ensure the most minute division of their particles. In general, the size made of common glue is used with a proper quantity of water to render the colour liquid, but where the work will afford it, parchment-size will be found greatly superior. It will not require less than two coats of any of the fore- going colours, in order to cover the plaster, and bear out with an uniform appearance. When old plastering has become discoloured by stains, and it be desired to have it painted in distemper, it is advisable to give the old plaster, when pro- perly cleaned Off and prepared, one coat at least of white-lead ground in oil, and used with spirits of turpentine, which will generally cover all old stains, and, when quite dry, will take the water-colours very kindly. The best methods of compounding the colours with the vehicles, is to mix the size in water, then to levigate the colours in part of it, and afterwards to put each kind into a proper pot, adding as much more of the melted size as will bring it to a due consistence, and mixing the whole well toge- ther in a pot with a brush or wooden spatula. Warm water may he afterwards added, if necessary, for grinding the colours, or for working. The pots must be covered with bladders, and tied. This method of painting is chiefly con- fined to scenes and grosser works, where the effect depends more upon the perspective and opposition of the colours, than upon their brightness. DISTRIBUTION, the dividing and disposing of the several parts of a building according to some plan, or to the rules of architecture. The proper distribution or arrange- Inent of the various apartments in a large building is of great Importance, and may be either good or bad, as they may be best suited to answer their use. That arrangement only can deserve the former appellation, in which every apartment seems placed in its very best position, with regard to archi- 4 A tectural symmetry, elegance of appearance, and domestic convenience. - DISTYLE, (Greek, Bum-arvhog), a portico of two columns. It applies rather to a portico with two columns in antis, than to the mere two-columned porch. DITRIGLYPH, an interval admitting two triglyphs over the intercolumn ; that is, if in two adjoining columns a tri- glyph be placed with its middle over each, the ditriglyph will contain three metopes, or spaces, two half triglyphs, and two whole triglyphs. DIVAN, among the Orientals, a council-chamber, or the saloon or hall in which a council is held : it is applied gene- rally to denote a state apartment, or room in which company is received. DIVERGING LINES, such as are continually increasing in their distance from each other. DIVIDERS. See MATHEMATICAL INSTRUMENTS. DIVISION, I—Iarmonical. See HARMONICAL DIVISION. DIVISION OF AN ORDER. See ORDER. DOCK, an artificial receptacle for shipping, generally formed by excavation, and enclosed by gates, which open for the ingress and egress of vessels; the sides are usually con- structed of masonry. DOCK, a place artificially formed on the side of a harbour or bank of a river, for the reception of ships. Docks arepf two kinds, wet-docks and dry-docks. A wet-dock is an exca- vation or basin Of considerable extent, which vessels can enter to discharge or take in their cargoes, and in which they are always afloat; of this kind are the immense docks of London, Liverpool, and other places of great commerce. A dry-dock is used for inspecting and repairing ships, and is so contrived, that the water can be admitted or excluded at pleasure, so that a vessel can be floated in when the tide is up, and the water may run out with the fall of the tide; or, the gates of the dock being closed to prevent the egress of the water, it is pumped out by steam-power. Dockyards belonging to the government usually consist of dry-docks for repairing ships, and Of slips on which new vessels are built ; besides which they comprise storehouses, in which various kinds Of naval stores are kept, and workshops in which dif- ferent processes subsidiary to ship-building, are carried on. DODECAGON, (EwEaKa, twelve, and 'ywl/La, angle), a regular polygon or figure, with twelve equal sides and angles. If the radius of a circle OADF, be so divided into two parts, that the rectangle under the whole and the one part shall be equal to the square of the other part ; then this last part will be equal to the side 0 D of a regular decagon AB C D E F, &c., inscribed in the circle ; and that line whose square is equal to the two squares of the whole, and Of the same part, will be equal to the side, AC, of a regular pen‘ tagon inscribed in the same circle. For, draw the radii 0A, 0 c, O D, OF; also draw AD, cutting O C in G, and let A H be perpendicular to O G. The triangle 0 D G, having the angle COD (= 12. DOF : OAD) : ODA, is isosceles: the triangle AOG, having AGO (: GDO + DOG = 2 D00) 2 A 0 C, is likewise isosceles ; as is also the triangle CD G; because,OGDbeing : AGO, and CDG (ODA) = FAD, the triangles A O G and C D G are equiangular; consequently, C D, A 0 ; C G, G 0, being corresponding sides, we have CG x Ao(cG x 00) 2 CD x GO : G09,because G 0 : GD : D C, the side of the decagon, 8m. Moreover, because AG : A0, IIG will be II o; and G 0 being the difference of the segments H O and II C, we have A c“ —- Ao' : C 0 X G C : 0 G’; and consequently AC’ (3'. e. the square of the side of the pentagon) : A02 + 0 G’. Let co = a, G0 : x, then will co = a—z; and by Jr DOD 274 DOG this proposition, a —— x X a : x’ and x” + a x : a”; and re-2 solving this quadratic equation, we shall have x” + a_a_c_+ 3‘; a =a°+fia°=5~a’; whencex + %a: Jga”, andx: N/gai—ga. Let the radius a be : 1, and G 0, or the Side of a regular decagon inscribed in the circle, is = J .} — 12-. Hence it appears that the sine of 18° (or half the side of a decagon inscribed in the circle) is : .12. \/ J} —— ,1; : lg V 1.25 — i : 1 .11803398 2 , 8w. ——fi= .55901699, &c.——.25 : .30901699, 8:0. It the side of a dodecagon be 1, its area will be equal to three times the tangent of 75° : 3 X 2 + J3 211.1961524 nearly; and, the areas of plane figures being as the squares of their sides, 11.1961524 multiplied by the square of the side of any dodecagon, will give its area. Hutton’s Mensu- ration, p. 114. To inscribe a dodecagon in a given circle—Carry the radius six times round the circumference, which will divide it into six equal parts, or form a hexagon, (see HEXAGON); then bisect each of those parts, which will divide the whole into 12 parts, for the dodecagon. DODECAHEDRON, (from dwdma, twelve, and édpa, seat), one of the regular bodies comprehended under twelve equal sides, each of which is a pentagon ; or, a dodecahedron may be conceived to consist of twelve quinquangular pyramids, whose vertices, or tops, meet in the centre of a Sphere con- ceived to circumscribe the solid; consequently they have their bases and altitudes equal. To find the solidity of the dodecahedron—Find that of one of the pyramids, and multiply it by the number of bases, viz, 12 ; the product is the solidity of the whole body. Or its solidity is found by multiplying the base into one-third of its distance from the centre, twelve times; and to find this distance, take the distance of two parallel faces; the half is the height. The diameter of the sphere being given, the side of the dodecahedron is found by this theorem; the square of the dia— meter of the sphere is equal to the rectangle under the aggre- gate of the sides of a dodecahedron and hexahedron inscribed in the same, and triple the side of the dodecahedron. Thus, if the diameter of the sphere be 1, the side of the dodecahe- dron inscribed will be ( \/:g~—- d13~) —:- 2; consequently, that is to this as 2 to (J% — ~/%) and the square of that, to the square of this, as 6 : 3 -— ¢5. Therefore the diameter of the sphere is incommensurable to the side of an inscribed dodecahedron, both in itself and its power. If the side, or linear edge, of a dodecahedron be 3, its sur- face will be 15 s’ ./1 + % $5 = 20.6457788 s”: and its solidity 5 s ,l 47 + 21 ./3 = 7.66311896 8’. 40 If the radius of the sphere that eircumseribes a dodecahe- dron be r, then is ,/'1?— «'3— its side or linear edge = ~—————-- 7‘, 3 its superficies = 10 r’ d2 —— ‘5 ¢5, and 20 R ,/3 + f5 its solidity 3 — 30 The sides of a dodecahedron inscribed in a sphere is equal to the greater part of the side of a cube inscribed in the same sphere, and cut according to extreme and mean propor- tion. If a line be so cut, and the lesser segment be taken for the side of a dodecahedron, the greater segment will be the side of a cube inscribed in the same sphere. The side of the cube is equal to the right line which subtends the angle of a pentagon, of the dodecahedron inscribed in the same sphere. DODECASTYLE, an edifice having twelve columns in front. DOG-LEGGED STAIRS, such as are solid between the upper flights; or those which have no well-hole; and the rail and balusters of both the progressive and retrogressive flight, fall in the same vertical plane. The steps are fixed to strings, newels, and carriages ; and the ends of the steps of the inferior kind terminate only on the side of the string, without any housing. No. 1. The plan.—-a the seat of the newel; g the seat of the upper newel. The dotted lines represent the faces of the risers, and the continued lines the nosings of the steps. No.2. The elevation.—A B the lower newel, the part BC being turned ; G 11 the upper newel ; D E, F G, the lower and upper string-boards, framed into the newel; KL :1 joist framed into the trimmer I; kl, no, qr, (30., the faces of the risers; mn, pg, st, the heads, or cover- boards; m, p, 3, ($40., nosings of the steps; M 0, F Q, the upper and lower ramps. To describe the ramps—Suppose the upper one to be drawn ; produce the horizontal part, 11 M, of the rail to P: draw MN perpendicular to P11, and produce the straight part, B 0, to N : make N 0 equal to NM : draw 0 P at right angles to EN: from P, as a centre, describe the arc MO: and describe another concentric circle to meet the under side of the rail, and the sloping part B O; and the ramp will be completed. 1: s, the story-rod ; this is a necessary article in fixing the steps ; for if a common measuring rule be used for this pur- pose, the workman will be very liable to err either in excess or defect, and thus render the stairs extremely faulty ; which cannot be the case if the story~rod be applied to every riser, and if the successive risers be regulated thereby. “'hen steps are put up without the use of the story-rod, the smallest error is liable to multiply. In the construction of dog-legged staircases, the first thing is to take the dimensions of the stair and the height of the story, and lay down a plan and section upon a floor to the full size, representing all the newels and steps ; then the situation of the carriages, pitching-pieces, long bearers, and cross bearers, will be ascertained, as also of the string- boards. The quantity of room allowed for the stairs, and the situation of the apertures and passages, will determine whe- ther there are to be quarter-paces, half-paces, one-quarter ' winders, or two-quarter winders. In order to give all the variety possible, we shall suppose the flight to consist of 3 two-quarter winders. The strings, rails, and newels, being framed together, they must be fixed with temporary supports; the string-board will show the situation of the pitching-pieces, which must be put up next in order, wedging one end firmly into the wall, and fixing the other to the string-board; this being done, pitch up the rough strings, and thus finish the carriage part of the flyers. In dog-legged staircases, the steps and risers are seldom glued up, except in cases of returned nosings; suppose them, therefore, to be of separate pieces ; proceed to ' PZATE I. D©G=LEGGED S ”FAIR S a Ely/aved by 3.40wa . LL‘MPANY UTMI “TED PULLLE SING PRINTING AND THE LONDON DOG 275 put up the steps : place the first riser in itssituation, having fitted it down close to the floor; the top being broughtto a level at its proper height, and the face in Its.r1ght posrtion, fix it with flat—headed nails, driving them obliquely through the bottom part of the riser into the floor, and then nailing the end to the string-board ; proceed then to cover the riser with the first tread, observing to notch out the farther bottom angle opposite the rough strings, so as to make 1t.fit closely down to a level on the top Slde, whlle the under Side beds firmly upon the rough strings at the back edge, and to the riser towards the front edge : nail down the tread to the rough strings, driving the nails from the seat, or place. on which the next riser stands, through that edge of the riser into the rough strings, and then nailing the end to the string- board; begin with the second riser, havmg brought it to a breadth, and fitted it. close to the top of the tread, so that the back edge of the tread below it may entirely lap over the back of the riser, while the front side is in its regular ver- tical position : nail the head of the riser, from the under side, taking care that the nails do not go through its face, and thereby spoil the beauty of the work. Proceed in this manner, with tread and riser alternately, until the last parallel riser. The face of this riser must stand the whole projection of the nosing back from the face of the newel. Then fix the top of the first bearer, for the first winding tread, on a level with the top of the last parallel riser, so that the farther edge of this bearer may stand about an inch forward from the back of the next succeeding riser, for the purpose of nailing the treads to the risers upwards, as was done in the treads and risers of the flyers ; and hav- ing fitted the end of this bearer against the back of the riser, and nailed or screwed them fast together, fix a cross-bearer, by letting it half its thickness into the adjacent sides of the top of the riser, and into the top of the long bearer, so as not. to cut through the horizontal breadth of the long bearer, nor through the thickness of the riser, as this would weaken the one, and spoil the look of the other. Then fix the riser to the newel, driving a nail obliquely from the top edge of the former into the latter : then proceed to put down the first winding tread, fitting it close to the newel, in the bird’s- mouth form. Proceed in this manner with all the succeed- ing risers and treads, always fixing in the bearers, previously to laying each successive tread, until the steps round the winding part are entirely completed. Then proceed with the upper retrogressive range of flyers as with those below. Fit the brackets into the backs of the risers and treads, so that their edges may join each other on the sides of the rough strings, to which they are fixed by nails, and thus the work is completed. Some workmen do not mind the close fitting of the riser; but it certainly makes the firmest work. In the best kind of dog-legged stairs, the nosings are returned; sometimes the risers are mitred to the brackets, and sometimes mitred with quaker-strings : in the latter case, a hollow is mitred round the internal angle of the under side of the tread, and the face of the riser. Sometimes the string is framed into the newel, and notched to receive the ends of the steps ; the other end having a corresponding notch- board, and the whole flight is put up like a step-ladder. In order to get the lower part for the turning, set the thick- ness of the capping on the return string-board, and where that falls on the newel below, is the place of the lower limit for the turning. Tofind the section of the cap of the newel for the turner.— Draw a circle to its intended diameter: draw a straight line from the centre to any point without the circumference, and set half the breadth of the rail on each side of that line; through the point, draw a line parallel to the middle straight DOG line, and the extreme lines will contain the breadth of the rail: draw any radius of the circle, and set half the breadth of the rail from the centre towards the circumference 3 through the point where this breadth falls, draw a concen- tric circle ; from the point where this circle cuts the middle line of the rail, draw two lines to the points where the breadth of the rail intersects the outer circle, and these lines will show the mitre. See HAND-RAILING and Sun:- CASING. DOGS, otherwise termed andirons or endirons, creepers, 8w. iron standards used in the olden times to support the logs of wood when consumed for fuel. The distinction between the andirons and creepers consists in the former being of a larger size than the latter ; the use of the andirons was to support the logs, and of the creepersto keep the brands of the hearth. ENDIRONS. DOG-TOOTH, an ornament very prevalent in edifices of the Early English style, in which it forms a very marked feature. It consists of a pyramidal flower of four leaves, so disposed as to have the space between the two adjacent leaves in the centre of the sides of the pyramid; a series of such orna- ments is very frequently seen inserted in a hollow moulding. DOME, a term applied to a covering of the whole or part of a building. The Germans call it Dam, and the Italians Duomo, and apply the word to the principal church of a city, although the building may not have any spherical or poly- gonal dome. From this and other circumstances we may infer the term to be derived from the Latin Domus, house. A dome is an arched or vaulted roof, springing from a polygonal, circular, or elliptic plan ; presenting a convex sur- face on the outside, or a concavity within, so as that every horizonal section may be of a similar figure, and have a. common vertical axis. According to the plan from which they spring, domes are either circular, elliptical, or polygonal; of these, the circular may be spherical, spheroidal, ellipsoidal, hyperboloidal, paraboloidal, 8:0. The word dome is applied to the external part of the spherical or polygonal roof, and cupola t0 the internal part. Cupola is derived from the Italian cupo, deep, whence also our word cup. But cupola and dome are often used synonymously, although perhaps incorrectly. Such as rise higher than the radius of the base, are denominated surmounted domes ; those that are of a less height than the radius, are called diminished or surhased; and such as have circular bases, are termed cupolas. The remains of ancient domes are generally spherical in their form, or built of stone or tufo. Ruins of numerous ones still exist in the neighbourhood of Rome and Naples. They were frequently used among the Romans, after the accession of Augustus, in whose reign, the use of the arch, and conse- quently of domes, first became common. The arch, indeed, is of Grecian origin, though in all the ancient edifices of that country, we do not meet with a single instance of a built dome: that which covers the monument of Lysicrates, being only a single stone, can only be looked upon as a lintel: and the invention of this species of vault seems justly attributed to the Romans, or Etrurians. Of the ruins of domes in and near Rome, the principal are the Pantheon, and the temples of Bacchus, Vesta, Romulus, Hercules, Cybele, Neptune, and Venus, and also some of the chambers of the Thermae. The most magnificent dome of antiquity is that of the Pantheon, at Rome, built in the reign of Augustus, and supposed to be a chamber of the great baths of Agrippa. It; is still entire, and consists of a hemi- spherical concavity, enriched with coffers, and terminating upwards in an aperture, called the eye. The exterior rises from several degrees, in a sloping direction, nearly tangent to the several internal quoins, and presenting to the spectator 5'1"! DOM 276 DOM the truncated segment of a sphere, considerably less than a hemisphere. The diameter of the dome internally is 142 feet 8% inches ; the circular opening at the top in the centre 28 feet 6 inches in diameter ; the height from the top of the attic 70 feet 8 inches. The interior of the dome is orna- mented with five rows of square compartments, and as these converge towards the top, each row is considerably larger than that immediately above it. Each of the large squares con- tains four smaller ones sunk one within the other. It is sup- posed that these were decorated with plates of silver. The base of the dome externally consists of a large plinth with six smaller plinths or steps above it; and in the curve of the dome a flight of steps is formed which leads to the opening at the top of the dome. From the drawings of Serlio, it appears that similar flights of steps were formed at intervals all round the dome, but these are now covered with lead. The dome is constructed of bricks and rubble. The thick- ness at the base is about 17 feet ; at the top of the highest step, 5 feet 1%,» inches ; and at the top of the dome, 4 feet 7 inches. The circular wall which supports the dome is 20 feet thick, but is divided by several large openings, and has discharging arches of brick. The dome of the Pantheon is incombustible, and is perhaps the cheapest as well as the most durable and unconsumable roof which could have been erected over so large a building. The dome of the temple of Bacchus is also internally hemispherical, though without coffers. Externally it is now .covered with a common roof, which may have been the original form : such a roof is also to be seen over the dome of the temple of Jupiter, in the palace of Diocletian, at Spolatro. The dome of one of the chambers ofthe Thermaa of Catania was 111 feet in diameter. In the Thermae of Titus there 1 are two domes, each 84 feet in diameter; and in the baths 1 of Constantine there was one of 76 feet. There were three domes in the baths of Diocletian, of which two still remain ; one is 73 feet 6 inches in diameter, and the other 62 feet 3 inches. Judging from those that remain, it would seem that in the Thermae they were lighted from the top, in the same manner as in the dome of the Pantheon. In the neigh- bourhood of Puzzuoli there is a circular edifice which has a I dome built of pumice-stone and volcanic tufa : its diameter is about 96 feet. The temple of Minerva Medica, at Rome, was on the plan, a polygonal dome of ten sides, without any opening at the top. Domes were sometimes constructed on corbels by the ancients. In one of the octagonal rooms of the enclosure round the baths of Caracalla the corbels which . supported the dome still remain, and at Catania there is a spherical dome covering a square vestibule. The dome of Santa Sophia, at Constantinople, built in the reign of Justinian, ranks next to the Pantheon in point of antiquity, and is the most remarkable and the earliest con- structed after those of the Romans. Anthemius of Tralles, and Isidorus of Miletus, were the architects. Anthemius had promised to raise a dome over this edifice, of such magnitude as to eclipse the magnificence of the Roman Pantheon. With this View, he erected four pillars at the angles ofa square, at about the distance of 115 feet from each other, and nearly of the same altitude. The church was to be of the form of a cross, and vaulted with stone; he therefore threw arches over the pillars, and filled up the angular spaces between the archivaults, till he had gradually shaped them into a complete circle, at the level of the extradoses of the arches. On the ring thus formed, the dome was raised, being the first ever built on pendentives The pressure of the eastern and western arches was resisted by four walls almost solid, form- ing transepts, and running longitudinally, two from the north, and two from the south sides of the pillars, to the distance of about 90 feet. The cast and west arches were abutted upon by half—domes, resting on cylindrical walls, which, it was supposed, would have been sufficient to resist the pressure of the arches on the north and south ; but in this the architect was mistaken ; for the superstructure gave way towards the east, and, at the end of a few months, fell, taking with it the half-dome on that side. After the death of Anthemius, the superintendence of the building devolved on Isidorus, who strengthened the eastern pillars, by filling up certain voids left by his predecessor; but when the dome was turned upon them, the east end proved still too weak for the support of SO great a load, and again gave way, before the work was completed. In order to counteract this thrust on the east, Isidorus now built strong pillared buttresses against the eastern wall of a square cloister that ran round the building ; from which he threw flying buttresses over the void, and then raised the dome a third time, but with very little success; for though every precaution was taken to lessen its weight, by using pumice-stone and other light materials, and by reducing its thickness, the arches were so much fractured, that he was under the necessity of filling up the large arcades on the north and south sides, with arches of less dimensions, in three stories. We have mentioned these circumstances, to show that the architects of the age to which this building is referred, were not so well acquainted with the principles of dome-vaulting, as those of more modern date : for the latter would probably have hooped or chained such a dome immediately over the arches and pendentives, so as to confine its pressure to a per- pendicular thrust, or nearly so. Such was the case, in the far more ponderous dome of St. Peter's, at Rome, erected by Michael Angelo ; and such, more recently, was the practice of our countryman, Sir Christopher Wren, in the cupola of St. Paul's, at London. The present dome, however, of Santa Sophia, was reconstructed by the nephew of Isidorus. It rests on the square formed at the intersection of the arms of the Greek cross ; the diameter being about 111 feet, and the dome ~10 feet high, and is supported by corbellings placed in the angles of the square. These corbels are surmounted by a kind of Cornice on which rests a circular gallery. The lower part of the dome has a row of windows adorned with columns on the exterior, and the top is surmounted by a lantern on which is a cross. The dome of Anthemius and Isidorus, was not so high ; and was partly destroyed by an earthquake a few years after its construction. In rebuilding it, the nephew of Isidorus used a very light white brick, made at Rhodes, and much lighter than the common brick. The dome of St. Mark, at Venice, erected about the year 973, and that of the cathedral at Pisa, built early in the eleventh century, are both upon the same plan with the pre- cedine. The church of Saint Mark, built in the tenth century, has five domes ; the central dome being much larger than the others. Each dome is enclosed within four pieces of semi-cylindrical vaulting, together formng a square ; in the angles of this square are four corbels, which gather in the. circular base of each dome. In 1523, Sansovinus, the archi- tect, repaired the great dome, and placed a circle of iron. round it to prevent its falling. A similar precaution was: taken with one of the smaller domes by Andrew Tirali, in. 1735, with the same successful result. The dome of San Vitale at Ravenna, is of very curious con- struction. The plan of the lower part is that of a regular. octagon, supported by eight piers at the angles of the dome. Between these angles are seven tall niches divided into twc stories. The lower part of these niches is open, and adorneé with columns. The remaining side of the dome is an arch o: DOM 277 DOM the same diameter and elevation as the niches ; this arch form- ing an entrance. Above these the wall sustains a hemi- spherical dome, the plan being a Circle within an octagon. Corbels are not employed at Santa bophia, but the arches support the gathering over, which forms the Circular base. of the dome. In the base are eight Windows, each Window being divided in the centre by a column supporting two small arches. The dome itself is built with a double row of pipes, hollow at one end and pointed at the other, so that the pomt of one 13 received in the hollow of the- preceding one, continuing thus in a spiral line until they finish at the top. .Both the exterior and the interior of the dome are covered With mortar. In 1298, the cathedral of Santa Maria. del F01re, was begun at Pisa, by the celebrated Arnolfo Lusu; but he died two years after, and no architect could be found, who would. under- take to execute the dome upon the vast plan that its pro- jector had designed : it consequently remained unfinished for one hundred and twenty years ; when, in a professional con- vocation, Philip Brunelleschi was permitted to attempt its completion. (See BRUNELLESCHI.) Notwithstanding the opposition he met with, and the vapouring sarcasms With which he was treated by his contemporaries, who held his scheme to be impracticable, he carried on the building, and completed the cupola, in a manner worthy of his great repu- tation. This dome, which is octangular, and of great elevation, is formed of two vaults, with a vacancy between them ; and is supported merely by the springing wall, without the aid of buttresses, though its dimensions exceed those of all the ancient Roman domes, with the sole exception of that of St. Peter’s. The church of St. Peter’s, at Rome, is the largest temple ever built : it was begun by Bramante, in 1513, and carried on'successively by Raphael, San Gallo, and Michael Angelo, the latter of whom designed the dome as it now appears. The following description, extracted from the “ Encylopédie Méthodique,” and the “ Penny Cyclopaadia,” will enable the reader to form some idea of this superb work. “ The dome, which is double, is circular on the plan. The internal dome is constructed on double consoles, instead of corbellings. The double consoles are crowned with a small cornice, forming an impost for eight arches, from the upper part of which springs the dome ; on the top is a lantern- light, which is not apparent externally. Up to this time domes had been constructed on walls and corbellings, but in St. Peter's at Rome a new plan was adopted. The dome of St. Peter's stands upon four piers, 61 feet 11 inches high, and 30 feet 10 inches thick, measured in a straight line with the arches. From the arches spring the corbellings, which are finished by an entablature. Upon this entablature is a plinth. The plinth is externally an octagon, and internally a circle. The external diameter of the octagon is 192 feet 9 inches, and the internal circle 134 feet 8%; inches ; the thinnest part of the wall, between the octagon and the circle, is 29 feet 3 inches. On the plinth is a circular stylobate, 28 feet 6% inches thick. This thickness is divided into three parts by a circular passage 5 feet 10 inches wide; the two Walls on each side of this passage are, respectively, the internal wall 14 feet 7% inches thick, and the external 8 feet. In the internal wall are other smaller passages, 2 feet 10 inches wide, forming flights of steps communicating with the four spiral staircases formed in the thickness of the wall of the drum of the dome. Above the circular stylobate, which is 12 feet 4% inches high, is placed the drum of the dome, which is 10 feet 1:} inch thick, measured to the inside line of the pilasters, which decorate the interior of the dome. The pilasters them- selves are 1.78 feet thick in addition. The construction is formed of rubble and fragments of brick. The interior is 4 n formed with bricks stuccoed. Externally the work is faced with thin slabs of travertine stone. The drum is pierced with 16 windows, 9 feet 3% inches wide, and 17 feet high. The walls are strengthened on the outside, between the windows, with 16 buttresses, constructed with solid masonry. These buttresses are 13 feet 3 inches wide, and 51 feet 6 inches in height from the base to the top of the entablature. Each buttress is decorated and strengthened with half—pilasters, and terminates with two coupled columns engaged, the diameter of which is 4 feet; the order is Corinthian. When the base of the dome had been built to the height of the entablature of the drum, Michael Angelo died; but some time before his death he had caused a model to be made, with . ample details, to which he added drawings and instructions. After his death Pirro Ligorio and Vignola were appointed the architects. Giacomo della Porta, the pupil of Vignola, fol- lowed his master as architect to the cathedral : but although the designs of Michael Angelo were strictly followed, the dome itself was constructed under the pontificate of Sixtus V. Sixtus gave Giacomo della Porta as a colleague, Domenico Fontana, by whom the dome was constructed. “ On the constructions of Michael Angelo a circular attic was first formed, 19 feet 2% inches high, and 9 feet 7 inches thick. This attic is strengthened externally by 16 projections, 2 feet 11 inches deep, and 6 feet 4% inches wide, placed over the buttresses of the dome; on the attic rises the double dome, the internal diameter of which at the base, is 138 feet 5 inches. The curve externally is an arc of a circle whose radius is 84 feet 1 .62 inches. To the height of 27 feet 8 inches from the attic the dome is solid. At the base the thickness is 9 feet 7 inches ; and as the external dome is raised higher than the internal dome, the thickness is increased as the curve ascends, so that where the dome is divided the thickness is 11 feet 4 inches. The circular space which divides the two domes is 3 feet 24-L inches wide ; the internal dome is 6 feet 4 inches thick ; and the height from the attic to the opening of the lantern is 83 feet 10 inches. The diameter of the lantern is 24 feet 10 inches. The external dome is 2 feet 101; inches thick, where it separates itself from the internal dome; and it is strengthened externally by 16 projecting bands of the same thickness. The dome is pierced with three rows of small windows, as the curves of the dome are not concentric, the space between them'becomes wider as it rises ; so that at the opening of the lantern the space is 10 feet wide. These domes are joined together by 16 walls or spurs, diminishing in thickness as they ascend to the lantern; at the base they are 8 feet thick, and at the summit 3 feet. The base of the lantern is arched, and pierced with small windows. Above the two domes is a circular platform, sur- rounded with an iron gallery. In the centre rises the lantern on a stylobate broken into 16 parts, forming projecting pedestals, above which are buttresses similar to the buttresses of the drum, decorated externally with coupled Ionic columns, 17% inches in diameter. The space between the buttresses is filled with arched openings, which give light to the lantern. The external diameter of the lantern is 39 feet ; the internal diameter 25 feet 6% inches ; and the height from the platform to the top of the cross is 89 feet 7%,- inches. The whole height, from the external plinth of the dome to the cross, is 263 feet. The total height internally, to the top of the dome of the lantern, is 387 feet. Sixtus V. covered the external dome with lead, and the bands with bronze gilt. During the construction of the dome it is believed that only two circles of iron were placed round the masonry, one of which was placed on the outside of the internal dome, at about 36 feet from its springing, and one foot above the division of the domes. The bands of iron of ,\_ fi_._ DOM 278 DOM which this circle is composed are 3 inches wide by 1% inch thick. A similar circle is placed about the middle of the solid part of the dome at about 17 feet 6 inches above the springing of the internal dome. Near the top of the internal dome there are several holes, at the bottom of which upright iron bars appear. These bars are said to be the connecting rods which keep together other circles of iron placed at different heights within the masonry, which are finally ter- minated by a circle round the eye of the dome. “The domes were constructed with such haste, that suffi- cient time was not allowed to the work to form solid beds as it was carried up, in consequence of which a great number of vertical settlements took place, and the circle of iron round the internal dome was fractured. To obviate the danger arising from these settlements, six circles of iron were placed round the external dome at different heights, and the broken circle of the internal dome was repaired. The first circle was placed above the cornice of the external stylobate, or continuous plinth, on which the buttresses stand ; the second circle was placed above the cornice of the buttresses; the third, above the attic, at the springing of the external dome ; the fourth half-way up the external dome; and the fifth under the base of the lantern. A sixth was shortly after placed at one foot below where the dome divides itself. The iron bands are flat, from 16 to 17 feet long, 31; inches wide, and 2,3,, inches thick. At one end of the pieces of iron 3. hole is made ; the other end is turned pp, and passed through the eye of the next band. The whole of these bands are fixed with iron wedges, driven into the rubble with mallets. Sheets of lead are placed under the iron circles.” (Coupole Encyclopédie flIét/todique ; ‘ Architecture.’ 3 St. Paul’s cathedral, London, the workmanship of the great Sir Christopher Wren, was begun in 1685, and finished in 1710. “ The dome is placed over the intersection of the four naves. The ground plan is a regular octagon, each face of which is 44 feet 8% inches wide : four of these sides are formed by the four great arches of the naves ; the other four sides are formed by false arches of the same size ; in each of these arches there is a great niche, the base of which is pierced with two arches. By this means eight supports are obtained instead of four, and the corbellings do not project too much, as in other similar constructions. The corbellings gather in a circle, the diameter of which is 104 feet 4 inches, the octagon base being 107 feet. The corbellings are surmounted by a complete entablature, 8 feet 3 inches high, decorated with consoles. The drum is set back 3 feet 2!; inches from the face of the frieze, and this intermediate space is occupied by two steps and a seat. The cornice is 98 feet 9?; inches from the pavement. The height of the drum from the top of the seat is 62 feet 64;- inches to the springing of the internal dome. The wall forming the drum is inclined internally 4 feet 11% inches, or about the 12th part of its height. This was designed by the architect to increase the resistance of the walls to the united pressure of the large internal vault, and the conical dome which carries the lantern. “The interior of the drum is decorated with a continuous stylobate, on which is an order of Corinthian pilasters. The 32 spaces between the pilasters are filled with 24 windows and eight large niches. Externally the drum is decorated with an order of 32 Corinthian Columns engaged, which are united to the wall of the drum by eight solid constructions in masonry. In each space between the constructions there are three intercolumniatious, the columns being joined at their bases by walls pierced with arches. The external colonnade is surmounted by an entablature; behind this is a terrace, formed by the recessiug back. The attic is 22 feet 4} inches high from the. top of the balustrade to the under side of the cornice of the attic. Above the internal order of the drum rises the interior dome, the diameter of which at the spring- ing is 102 feet 2% inches by 51 feet in height. The top of the dome has a circular opening 14 feet 10';i inches in diameter. “ Above the attic are two steps, from which the external dome springs. The external dome is constructed of wood, covered with lead, and decorated with projecting ribs forming panels, curved at the ends. This dome terminates with a finishing which joins the base of the lantern: the circular gallery formed on the finishing is 274 feet 9 inches above the pavement of the nave. The lantern is supported on a conical tower, terminated by a spherical dome. This tower, which ; is joined to the internal dome at its base, disengages itself , from it at the height of 8 feet 6 inches above the springing of the same. The perpendicular height of this tower is 86 feet 9 inches, and the walls are inclined 24 degrees from the perpendicular, the diameter of the base is 100 feet 1 inch measured externally, and 34 feet 1 inch at the springing of the spherical dome which finishes it. The wall of this tower is built of brick, and is 1 foot 7 inches thick, with circular rings of masonry, fastened with iron bands. The spherical dome at the top of the tower has an opening 8 feet in diameter at the summit. Between the attic and the wall of the tower are 32 walls or buttresses, which also serve to bear the ribs of the wooden external dome.”—Penny Cyclopwdia. About the same time that lVren built the dome of St. Paul’s, Hardouin Mansard, a French architect, constructed the dome of the Invalides at Paris. The plan of this dome is a square, in which is inscribed a Greek cross ; in the angles of the square there are four chapels. The dome is raised in the centre of the Greek cross ; the base supporting it is an octagonal figure, with four large and four small sides. The dome, which is double, rises from a springing which is common to both. The lower or internal dome constructed with masonry is spherical. The outer dome is of a spheroidal form, constructed of stone at the base, and of brick above. It is framed of wood, and covered with lead, like St. Paul’s, London, but the construction is much heavier. The total. height to the top of the cross which surmounts the lantern is 330 feet. The modern Pantheon at Paris, formerly the church of St. Genevieve, was built by J. G. Soufiiot, who distinguished. himself by his architectural works, in the reign of Louis XV. The dome, which is lofty, is sustained by four pillars, arched. over the cross parts. The angular Spaces are filled up with pendentives, terminating in a circular ring, on which a cylin-~ drical wall is built, supporting the cupola. In the latter par- ticular it is similar to St. Paul‘s. Of wooden domes, that of the Halle du Bled, at Paris, is an excellent example ; it being more than 200 feet in. diameter, and only a foot in thickness. A new material has been lately employed in the construc- tion of the dome of the church of St. Isaac. at St. Peters- burg, erected under the direction of the Chevalier de Mont- ferrand. An account of the construction is given by Mr. Godwin as follows:—“ The walls of the dome are carried up in solid construction of brick, with tiers of stone-bond, and are above 8 feet thick. On the level of the top of the cornice of the circular colonnade which girds the drum, there is a series of twenty-four cast-iron ribs, the feet of which rest on a cast—iron plate 7 feet wide, which runs quite roam the circumference. At their head all the ribs are attached tc a horizontal plate or curb, 6 feet 3 inches wide, which follow the periphery of the dome. At this height the rib is divide« into 2, the one part about 12 feet 6 inches deep, follow-in DOM the sweep of the inner dome for a height of 20 feet, is at its summit bolted to a cast-iron perforated cylinder, 21 feet in diameter, and 7 feet high; this forms the centre aperture at the summit of the inner dome. The other part follows the line of an intermediate cone, with a. catenary outline, and similar to the one in St. Paul’s; it is also 21 feet long, and 2 feet 6 inches deep, and perforated to render it lighter. At this height the heads of the ribs are again secured to another horizontal plate or curb, which forms a complete circle, and is 3 feet wide; and this curb and the ribs are tied to the cylindrical opening of the inner dome, already mentioned, by radiating beams 2 feet 3 inches deep. The conical ribs have then another length of 21 feet, and their heads are again con- nected by another horizontal plate, from which spring the circular ribs, about 16 feet long, forming a dome to the inter- mediate cone, and their heads are also bolted to a cylinder, 8 feet 6 inches in diameter, and 18 inches high. But the upper portions of the ribs diverge at top, so as to form a base for the octagonal cupolino, which consists of a series of cast- iron story-posts, ribs, and bracketings, inclusive of the dome of the cupolino, with its ball and cross at the apex, which last are of brass-gilt. The filling in between the ribs consists of pots, the surfaces of which are subsequently rendered with plaster, and painted with sacred subjects. The external face of this outer dome is covered with bronze gilt in three thick- nesses of leaves of ducat gold. The Whale entablature and flat, and the balustrade over the peristyle of the drum of the cupola, likewise consist of cast and wrought iron framing, faced with plates of copper, to form the profiles and mould- ings. The 24 pedestals of this balustrade carry winged angels of bronze, above 9 feet high, each of a single casting. “ The quantity of metal employed in the work is as follows :— Ducat gold.............,............. 247lbs. Copper................,. 52 tons Brass 3212 “ Wrought-iron 524% “ Cast-iron ..,............1068 -“ 1966;» tons 2471118. “ The roofing is wholly of iron, covered with copper. The raising of the monolithic shafts of the 24 columns of the exterior peristyle of the dome—each of which weighed nearly 66 tons—'40 the height of 150 feet, was an operation requiring considerable skill, The first column was raised on the 17th November, 1837, and in two months the 24 columns were completely fixed. “ The skeleton of the entablature of the peristyle of the dome is of cast and wrought iron, resting on the columns, and affixed to them b wrought-iron ins, which are let a con- siderable depth into the shafts, and t 1e frame-work is also let into the cylindrical wall of the dome, securely affixed to three templates. The cornice, with its modillions and mouldings, rests on cast-iron corbels; the caissons and rosettes of the inner soflit also rest on cast-iron girders. “ The careful skill with which the architect has fulfilled his part, and the feeling for decorative art with which he has embellished the church of St. Isaac, render it .one of the most striking edifices of the nineteenth century.” All the ancient Roman domes are on the convex side a much less portion of a sphere than a hemisphere ; but those, from the completion of the church of Santa Sophia, to the finishing of St. Paul’s cupola, are of the surmounted kind, approaching in a greater or less degree to the proportion of towers, .or spires, which were so much admired and adopted In the middle ages. The sides of the section of St. Paul’s 279 DOM dome are struck with centres in the base line, which, if con tinued, would meet in an angle in the axis of the dome Since the revival of Grecian architecture, the contour of the old Roman dome has also been revived, especially in cases Where other parts of the building are decorated with any of the orders. Exterior domes can never be correctly applied to buildings in the pointed style of architecture. The following are the admeasurements of some of the prin- cipal domes in Europe, taken from Mr. Ware’s “Tracts on Vaults and Bridges :”— Domes of Antiquity. Feet Height in diameter from the taken externally. ground line. Dome of the Pantheon ........................ 142 143 “ Minerva Medica, at Rome... 78 97 “ Baths of Caracalla ............ 112 116 “ Baths of Diocletian ............ 74 83 Temple of Mercury ........................ 63 “ Diana .............................. 98 78 “ Apollo ........... . .................. 120 “ Proserpine and Venus ......... 87 77 Domes of comparatively [Modern Times. Santa Sophia, at Constantinople ............ 115 201 Mosque of Achmet, ,, ..... ....... 92 120 San. Vitale, at Ravenna ........... . ......... 55 91 San. Marco, at Venice ....... .. ............... 44 From the time of Brunellesc/zi to the present period. Santa Maria del Fiore, at Florence ......... 139 310 The Chapel of the Medici ................. 91 199 Baptistry at Florence ........................... 86 110 Cathedral of St. Peter, at Rome ............ 139 330 Chapel of the Madonna della Salute, at Venice ......................................... 70 133 Chapel of the Superga, at Turin ......... ,.. 64 128 “ Invalides, at Paris ......... 80 173 “ Val de Grace, Paris ........ . 55 133 “ Sorbonne, Paris ........... . 40 110 Pantheon, or St. Genevieve, Paris ..... 67 190 Cathedral of St. Paul’s, London 112 215 In the reigns of queen Elizabeth, and her successor king James 1., square turrets, surmounted with domes resembling a bell in their outline, were much used. Domes are sometimes made convex below, and concave above ; the former being a much greater portion of the side than the latter: these may be denominated Moresque, Turkish, or Hindoo. Mr. Bunce invented a dome that requires no centering; in this construction, all the abutting joints are continued in uninterrupted vertical planes; but the horizontal joints of every two stones break on the middle of the stones on either side ; so that every alternate stone of a course projects upwards, and leaves a recess for the insertion of the stones of the next course. Upon this principle, the intervals, as the building approaches nearer the top, becomes more wedge- formed, and, the interior circumference being less than the exterior, the stones can be inserted only on the outside: con— sequently, if made so exact as just to fit into their places, they cannot fall inwardly, This mode of joining stones may be convenient, as requiring no centering ; but unless the courses be nicely equilibrated, it is more liable to burst, than when a dome is constructed in the ordinary manner, since every row of stones, from the base to the top, forms an arch indepeir dent of the rest. DOM 280 DOM The equilibrium and pressure of domes is very different from that of common arching, though there are some proper- ties common to both. Thus, in cylindrical and cylindroidal vaulting, of uniform thickness, if the tangent to the arch at the bottom be perpendicular to the horizon, the vault cannot stand; neither can it be built with a concave contour in whole, or in part; and to bring an arch to an equilibrium, whether its section be circular or elliptical, the intrados being given, both extremities of the arch must be loaded, ad infi- nitum, between the extrados of the curve which runs upwards, and the vertical assymptote rising from each foot. So, in thin domes, of equal thickness, if the curved surface rise perpen- dicularly from the base, it will burst at the bottom, whatever be the contour. Yet, though dome-vaulting, in this particular, agrees with common arching, they differ materially in several other points. For, in order to equilibrate the figure of the former, after the convexity has been carried to its full extent of equilibrium around, and equidistant from the summit on the exterior side, the curvature may be changed into a concavity: here the interior circumference of the courses is less than the exterior, and therefore, whatever the pressure towards the axis, the course cannot fall inwardly, without squeezing the stones into a less compass. Hence a vault may be executed with a con- vex surface inwardly, and a concave surface outwardly, and be sufficiently firm. The strongest form of a circular vault, required to bear a weight on its top, is that of a truncated cone, similar to the exterior dome of St. Paul’s, London, of which it is impossible to conceive any force acting on the summit, that would be capable of disturbing its equilibrium : for the pressure being communicated in the sloping right line of the sides of the cone, perpendicular to the joints, the conic sides have no tendency to bend to one side more than to another ; the gravity of the materials towards the axis, being counteracted by the abutting vertical joints. In dome-vaulting, the case is very different : for here the contour being convex, there is a certain load, which, if laid on the top, must burst it outwardly, which weight becomes greater in proportion as the contour approximates towards the chords of the arches of the two sides, or to a conic vaulting on the same base, carried up to the same altitude, and ending in the same circular course. For example, suppose a hori- zontal line, tangent at the vertex, proceed from the key-stone downwards, course by course ; it will be evident, that every successive coursing-joint may be made to slant as much, and consequently, that the pressure of the arch-stones of any course towards the axis will be so great, as to be more than adequate to the resistance of the weight of all the super- incumbent parts. Hence it may be clearly deduced, that there is a certain degree of curvature to be given to the contour, which will just prevent the stones in any succeeding course from being forced outwardly. The circular vault, thus balanced, is indeed an equilibrated dome ; but, instead of the strongest, it is the weakest of all between its own contour and that of a cone upon the same base, rising to the same height, in a key-stone, or in an equal circular Course. The equilibrated dome has therefore the boldest contour ; but is the limit ofan infinitude of inscribed circular vaults, all of them stronger than itself. In other respects, circular vaulting differs from straight vaulting in being built with courses in circular rings; and in having the stones in each course of equal length, which press- ing equally towards the axis, cannot slide inwardly. Circular vaults may therefore be open at the top ; and the equilibrated dome, which, as we have just observed, is the weakest of all, may be made to bear a lantern of equal weight with the part J that would otherwise have completed the whole. Domes of flatter contours will bear more, in proportion as they approach nearer to that of a cone : and circular vaults, that are either straight or concave on the sides, if chained at the bottom, may be loaded to any degree, without giving way, until the materials of which they are built be crushed to powder. The foregoing description of the equilibrium and pressure of domes may be comprehended without any acquaintance with either algebra or fluxions, and will be of use to the ordinary workmen, for the satisfaction of more scientific readers, we subjoin Dr. Robison’s theory. Problem—To determine the thickness of dome-vaulting when the curve is given, or the curve when the thickness is given. Plate 1. Figure l.——“ Let Bb Abe the curve which pro- duces the dome by revolving round the vertical axis A D. We shall here suppose the curve to be drawn through the middle of the arch-stones, and that the coursing or horizontal joints are everywhere perpendicular to the curve. \Ve shall sup- pose (as is always the case) that the thickness K L, H I, &c. of the arch-stones is very small in comparison to the dimen- sions of the arch. If we consider any portion H A h of the dome, it is plain that it presses on the curve of which H L is an arch-stone, in a direction I) C, perpendicular to the joint 11 I, or in the direction of the next superior element [3 b of the curve. As we proceed downwards, course after course, we see plainly. that this direction must change, because the weight of each course is superadded to that of the portion above itto complete the pressure of the course below. Through B draw the vertical line B C G meeting [3 I), produced in C. We may take b c to express the pressure of all that is above it, propagated in this direction to the joint K L. “'e may also suppose the weight of the course H L united in b, and acting on the vertical. Let it be represented by b F. If we form the parallelogram bFGC, the diagonal I) G will represent the direction and intensity of the whole pressure on the joint K L. “ We have seen, that if I) G, the thrust compounded of the thrust b C exerted by all the courses above 11 I L K, and if the force I) F, or the weight, of that course be everywhere coin- cident with b B, the element of the curve, we shall have an equilibrated dome ; if it fall within it, wehave a dome which will bear a greater load, and if it fall without it, the dome will break at the joint. \Ve must endeavour to get analytical expressions of these conditions. Therefore draw the ordinates b B b", B D n”, C d e”. Let the tangents at b and 6” meet the axis in M, and make MO, M P, each equal to b C, and complete the parellelogram M 0 N P, and draw 0 Q perpendicular to the axis, and produce 1) F, cutting the ordinates in E and 8. It is plain that M N is to MO as the weight of the arch H Ah to the thrust b C, which it exerts on the joint K L (this thrust being propagated through the course of II I L 1{,) and that M Q, or its equal 66', or 5d, may represent the weight of the halfA B. “Let AD be called 1“, and D B be called 3/. Then I) e : 17:, and e C : j/ (because 6 C is in the direction of the element t3 1)). It is plain if we make y constant, B C is the second fluxion of 1', or B C :: a, and b e and b E may be. considered as equal, and taken indiscriminately for 5r. \Ve have also I) C 2 ~/ a? + {/2 ; let d be the depth or thickness of H I of the arelustones. Then (I x/ a“ + [/2 ; will represent the trapezium: 11 L g and since the circumference of every course increases. in the proportion of the radius y,dy ~/ i‘ + 3) Will represent: the whole course. If s be taken to represent the sum or aggregate of the quantities annexed to it, the formula Wlll be- analogous to the fluent of a fluxion, and s (13/ ~/ 2* +3;2 will DOM 281 DOM represent the whole mass. and also the weight of the vaulting down to the joint H 1. Therefore we have this proportion : sdy¢¢2+y2; dy ¢b9+g2=be: 12F: be: ea: d .1/ in ~/ iv“ + y“ sdyvf+¢ “ If the curvature of the dome be precisely such as puts it in equilibrium, but without any mutual pressure 1n the vertical joints, this value of c G must be equal to C B, or to 2.3, the point G coinciding with B. This condltlon Wlll be dy¢r+yfii §@VFI?_” a. tottering equilibrium, independent of the friction of the joints and cohesion of the cement. An eqilibrium,accom- panied by some firm stability produced by the mutual pressure of the vertical joints, may be expressed by the formula d 7277 d a??? a t J—i/~:_"—_;;7’T’ or by l—‘Tl; : _+ _t, Where t sngm'I-fy a: sdy¢x+g a: is some variable positive quantity which increases when :3 increases. This last equation will also express the equili- brated dome, if t be a constant quantity, because in this case tn —is : 0 t 3d: co :x: ce. ThereforeCG = expressed by the equation = x or more con- veniently by But this form gives only dytvdt+y’ shall be greater than :2, and C G must be greater than C B. Hence we learn that figures of too great curvatures, whose sides descend too rapidly, are improper. Also since stability “ Since a firm stability requires that dys¢33+92 It: requires that we have greater than 8 d 3/ ~/ at” + 9’, we learn that the upper part of the dome must not be made very heavy. This, by diminishing the proportion of I) F to b C, diminishes the angle Cb G, and may set the point G above B, which will infallibly spring the dome in that place. We see here also, that the algebraic analysis expresses that peculiarity of dome-vaulting, that the weight of the upper part may even be suppressed. 013/ «M? +2)2 " t' “ The fluent of the equation W = g+7is most easily found. It is L s dy J at“ + y” : L .i: + t', where L is the hyperbolic logarithm of the quantity annexed to it. If we consider y as constant and correct the fluent, so as to make it nothing at the vertex, it may be expressed thus : Lsdny+g’,’-—La=1.d:—— L3) + Lt. fifi gdy¢x+y=,, a This gives 8 d 3/ s’ 552 + .72 a 2': us et, and therefore 1/ Ir =t-. 3/ This last equation will easily give us the depth of the vaulting, or thickness, d, of the arch, when the curve is dy¢x’+g/’ _t’:i:+t.'£ given. a _ For its fluxion is andd _at'.i:+at'ai _yivf+r which is all expressed in known quantities: 40 l for we may put in place of If any power or function ofx or of y, and thus convert the expression into another, which will still be applicable to all sorts of curves. to t! “ Instead of the second member 3 + ywe might employ p—., where p 18 some number greater than unity. This W11] .2: evidently give a dome having stability ; because the original dyi‘ \/ a? + .722 11 h ——.————=“.— wi be greatert an in. sderV+f a it" -‘ 31: W“ -.—.—-—,- Each of these forms has its advantages yw¢r+y when applied to particular cases. a at; formula This will give d = Each of them also gives d = ————, when the curvature is such as in precise yy¢fi+¢ equilibrium : and lastly, if d be constant, that is, if the vault- ing be of uniform thickness, we obtain the form of the curve, because then the relation ofzi‘ to at and to [y is given. “ The chief use of this analysis is to discover what curves are improper for domes, or what portions ofgiven curves may be employed with safety. “ The chief difliculty in the case of this analysis arises from the necessity of expressing the weightof the incumbent part, or .s'dyN/w‘2 + 3%. This requires the measurement of the conoidal surface, which in most cases can be had only by approximation, by means of infinite series. We cannot expect that the generality of practical builders are familiar with this branch of mathematics, and therefore will not engage in it here; but content ourselves with giving such instances as can be understood by such as have that moderate mathematical knowledge, which every man should possess, who takes the name of engineer. “The surface of any circular portion of a sphere is very easily had, being equal to the circle inscribed with a radius equal to the arch. This radius is evidently equal to vfl+w “In order to discover what portion of a hemisphere may be employed (for it is evident we cannot employ the whole) when the thickness of the vaulting is uniform, we may recur dyavsa+¢ to the equation or formula = s dy ~/ 37—2 + y: Let a be the radius of the hemisphere. We have 0y? at” —-———-——% at = Vi? and ii: = a9 _3fl‘2' Substituting these values —_ in the formula, we obtain the equation 3/2 \/ (12—? a‘ 3/31 ¢w—f member 2 as—a’ ~/ (Lg—'92, and y = a J —§ + ¢§. Therefore, if the radius of the hemisphere be one-half, the breadth of the dome must not exceed J — 3% + J §, or 0.786, and the height will be 618. The arch from the vertex is about 51° 49', much more of the hemisphere cannot stand even, though aided by the cement, and by the friction of the coursing joints. This last circumstance, by giving connection to the upper parts, causes the whole to press more vertically on the course below, and this diminishes the outward thrust; but at the same time diminishes the mutual abutment of the vertical joints, which is a great cause of firmness in the vaulting. A Gothic dome, of which the upper part is a portion of a sphere not exceeding 45° from the vertex, and S We easily obtain the fluent of the second DUM 282 DOM, the lower part is concave outwards, will be very strong, and not ungraceful. “Persuaded that what has been said on this subject con- vinces the reader that a vaulting, perfectly equilibrated throughout, is by no means the best form, provided that the base is secure from separating, we think it unnecessary to give the investigation of that form, which has considerable intricacy, and shall merely give its dimensions. The thick- ness is supposed uniform. The numbers in the first column of the table express the portion of the axis counted from the vertex, and those of the second are the length of the ordinates. A D D B A D D B A D D B 0-4 100 610.4 1080 2090 1560 3-4 200 744 1 140 3442 1600 1 1 -4 300 904 1200 3072 1640 26-6 400 1100 1260 4432 1670 52.4 500 1336 1320 4052 1700 91 4 600 1522 1360 5336 1720 146-8 700 1738 1400 5756 1740 223 -4 800 1984 1440 6214 1760 326 .6 900 2270 1480 6714 1780 465 .4 1000 2602 1520 7260 1800 “The curve formed according to these dimensions will not Appear very graceful, because there is an abrupt change in its curvature at a small distance from the vertex. If, how- ever, the middle be occupied by a lantern of equal, or of smaller weight than the part whose place it supplies, the whole will be elegant and free from defect. Figure 3 represents four difi’erent contours of domes, upon a square plan, No. 5; No. 1, shows a semicircle contour; No. 2, a pointed contour; No. 3, a Turkish, or Mahomedan contour; No. 4, a bell—formed contour, as used in the reigns of Elizabeth and James I. Figure 4, represents five different contours, upon an octa- gonal plan, No. 6; No. 1, the contour of a dome, the vertical section of which being a semi-ellipsis, with the lesser axis placed horizontal; N0. 2, the contour of a semicircular sec- tion; No. 3, the contour of a dome, the vertical section of which is a semi-ellipsis, placed upon the greater axis; No. 4, the contour of a dome, the vertical section parallel to either side being the segment of a circle ; N0. 5, a pointed contour, formed similar to the dome of the cathedral church of S“ Maria del Foire, at Florence, which was both octangular upon the plan, and pointed in its vertical section. Figure 5 represents five contours upon a circular plan, No. 6; No. l, is formed by having its vertical section the segment of a circle, which was the general practice of the Romans, in the exterior form of their domes, as in the Pan- theon at Rome; No.2, a dome with a semicircular axal section, a form very frequently used in modern times; No. 3, an ellipsoidal dome, whose axis is the greater semi-axis of the ellipsis; No. 4, represents a dome with a parabolical contour, the vertical section being that of a curve, and the axis of the parabolical section being the same as that of the dome. This contour is more pointed than any part of an ellipsis ; No. 5, represents a dome with an hyperbolical con- tour, the vertical section being an hyperbola; this is still more pointed than the parabolical dome. Figure 6, shows four variations of contours : No. 1, pointed like the dome of St. Paul’s cathedral church, London, which is composed of two arcs of a circle ; N0. 2, a dome with a small concavity upwards, springing perpendicularly from its base ; No. 3, another contour of a dome, with a small con- cavity at the top, but spreading outwards as it rises from the bottom, with a convexity in its vertical section; No. 4, a dome of the same nature as the last, but dissimilar in its (aim, the convex part being much quicker. Such forms as the last three may be denominated Moresque, Turkish, or Hindoo, as they are practised by the Moors, Turks, and Hindoos. This form was introduced into England in the reign of Henry VII., and in constant use in the time of Henry VIII. Its use was in the crowning of turrets, as in the octagonal buttresses of Henry the Seventh’s chapel, and the towers of King’s College chapel, Cambridge: the turrets at the entrance of Christ’s College, Oxford, executed by Sir Christopher Wren, are surmounted with domes of this form. The bell-formed dome, Figure 3, No. 4, succeeded Figure 6, No. 2; examples of it may be seen at Audley-End, in Essex, built in the reign of James I., and in the Tower of London. It is a property of all domes to have their horizontal sec- tions similar to each other, and to the base of the dome. What may be properly denominated a Roman dome, is one whose axal section is a semicircle, or the segment of a circle less than a semicircle. Among the ancients, domes were only used in covering whole buildings of a circular plan; but among moderns they are used in covering any apartment, or distinct portion of a building, which too frequently has a very insignificant appearance, and, for want of magnitude, destroys the general contour of the whole, producing a kind of mixed outline at the finish of the edifice; where in most points of view it is completely lost. In modern architecture, the dome, when used, is gene- rally raised upon a tower, or turret, and by this means the figure is shown more completely than if it were immediately raised from the walls; but care should be taken, that if the place overwhich it is to be erected be too small, it should not be adopted; and if admitted in an edifice, it should bear a good proportion to the whole mass: when a dome is properly managed, nothing adds more grace or dignity to the termina- tion of an edifice than the domic contour. Plate III. Figure l.—Given the plan of a square dome, and one of the axal ribs, at right angles to one of the sides; to find the curve of the angle rib, and the covering. The axis of a square dome is the vertical line in which the diagonal planes would intersect each other. Let A B C D be a plan of the dome; A c and B D the inter- sections of the diagonal planes; E F the base of the rib; E K the height of the given rib; and the curve line K I H G F, the section of the upper surface, which comes in contact with the boardinor. Produce E F to k ; divide the curve line K F into any number of equal parts, the more the truer will be. the operation ; let the parts he F G, G 11, H I, 1 K, which extend upon the straight line F It ; the first from F to g, the second from g to h, the third from h to i, and the fourth from i to h,- from the points G, H, I, in the curve of the given rib, draw G G' N, H n’o, I 1’ P, parallel to A D, cutting the base of the rib E F at the points (3', H’, 1’, and the half diagonal D E at the points N, 0, P; also, through the points g, h, i, draw n g 12, oh 0, p i p, parallel to A D. Take the intercepted parts G N, H o, 1 P, between E F and E D, apply them successively to the lines parallel to AD, on each side of Fk, from g to n, and from g to n, from h to o, and from h to o, from i to p, and from i to p, and through the points A, n, 0,1), It, on each side of F k, draw a curve; then the space, AhD, comprehended between the two curve lines and the side A D of the plan, is the form of the whole covering for each side of the dome. Tofind the hip~line of the angle rib whose base is E D. From the points, N, 0, P, E, draw N Q, 0 R, P s, and E '1‘. perpendicular to ED: make NQ, 0R, PS, ET, successivel) equal to G’ G, 11’ 11, 1’ I, E K : and through the points D, Q, m s, '1‘, draw a curve, which will be the hip-line. Figure 2.—A dome likewise upon a square plane, but thc; given axal rib at right angles to the side, is the segment of a. circle less than a semi-circle. ,k 5-- __._______———-————- PLATE 1 1. . p I Fig i \ I") {"7}; 4. . V! 1. $34.3. UV. 1. . .171. ' ..,, . ., . . ‘ J ) (x :LLL .'_.‘\ ‘ ,_3 llll " Mummnnmm '- wimflnl‘ W" ,3me £13; .th. " 4 ' DOM 283 DOM Figure 3.—Plan of a polygonal dome, showing the cover- ing extended, and the angle-rib. The method of finding the covering and angle-rib for Figures 2 and 3, is the same as in Figure l, and may be described in the same words. Instead of laying out the covering and angle-rib, as in Figure 3, of the octagonal dome, they may be laid down as in Figure 4, without laying down the whole plan ; and if only the covering be wanted, it may be found without any part of the plan, as in Figure 5. Thus, let AD represent the middle of the boarding for one of the sides, and let A B, at right angles thereto, be half the breadth of the side A E, Figure 3; let AB, Figure 5, represent half the base of the rib ; on A B describe a quadrant or similar figure to the given rib, I L K, Figure5: make A D equal to the circumference, LK of the given rib. The rule for this purpose will be found under those for measuring segments of circles; see the article SEGMENT; or if the are be that of a quadrant, the quadrantal arc may be found, as in the article CIRCLE, and then taking a fourth part of the whole circle, or the half of a semi-circle. We shall here give examples both for a complete quadrant, and for a rib which is the half of a segment less than a semi-circle : Figure 3.—Suppose the base, I L, to be 20 feet, then 3% X 20 : 31 feet 5 inches. 2 Again, suppose the base to be 12 feet, as before, but the height to be only 5 feet, then the whole chord will be 24 feet, and the versed sine 5 feet. RULE.-—Multiply the sum of six times the square of the half chord, and five times the square of the versed sine, by the chord; and divide the product by the sum of six times the square of the half chord and the square of the versed sine; and the quotient is the length of the are, nearly. Here the half chord is 12 feet : therefore, (6 x12’+5 x 52) x 24 : 26.69, the answer. 6 x 12’ + 52 0r thus, at full length : then 6 x 122 + 52 = 864 + 25 = 889. 5 12 12 5 144 : 122 25 : 5a 6 5 864 : 6 x 12‘3 125 125:5X52 989:6 X 122+5 x 52 24 whole chord, or base of two ribs. 3956 1978 889 ) 23736 ( 26.63 1778 13.315 feet for the length of the curved hip. 5956 5334 6220 533-1 8860 8001 859 Norm—The above rule is the invention of the author. Figure 5.—Then making AD equal to the length of the arc, divide the curve B G into any number of equal parts, and draw the lines e h,fi, g h, parallel to B A, cutting A C at h, i, h ; divide the straight line A D into as many equal parts as the curve BC is divided into, at the points I, m, n, and draw lo, mp, and n g, parallel also to A B; making lo, mp, 72 g, respectively equal to h e, if; and kg, and through the points B, o, p, g, D, draw a curve; then the space comprehended between this curve and the straight lines A D and A B, will be half the covering of one of the sides. Figure 6.——Given K L M N, the plan of an oblong dome, and the rib A B ; to find the hip and the rib parallel to the longi- tudinal side, also the covering upon the longitudinal and transverse sides. Divide the curve AB into any number of equal parts, at the points of division 1, 2, 3, and draw lines 11:, 2 i, 3 h, parallel to N K, the longitudinal side cutting the seat of the hip KG: from the points of intersection in KG draw lines parallel to K L, the breadth of the dome, to the points m, n, o ; draw G E parallel to NK, and produce it to F ; also produce AC to D; take the parts of the given rib AB, and extend them on C D, from C to 1, from 1 to 2, from 2 to 3, and from 3 to D: make 1 m, 2 n, 3 0, on each side of C D, respectively equal to the parallel distances from A K, comprehended be- tween the lines A G, and K G ; from the points at, e,j; cut by the lines parallel to K L, make d a, e b, andfc, respectively equal to the several heights of the given rib A B, and trace a curve through the points E, a, b, c A: upon the straight line E F, extend the parts E a, a b, b c, c A, of the are E A, from E to a, from a to b, from b to c, and from c to F ; through the points a, b, c, in E F, draw h h, ii, h h, parallel to K L; make the parts a h, b i, c h, respectively equal to the parallels of E K, comprehended between E G and KG; then KF L, is the form of the boarding for each end, and LDM, that of the sides. The angle - rib is found the same as in the square dome. Figure 7, No. 1.— Tofind the covering of an oblong polg- gonal dome. Given the plan A B c D E r G H I, and the axal section through its breadth, a semi-circle. Take any straight line, M Q, No. 2; in No. 1, draw lines from the middle point I, perpendicular to the sides G H, H A, A B, of the polygon, and let these perpendiculars be I K, IH, and I L: on the straight line M Q, No. 2, make M 0 equal to 1K, M P equal to I H, and M Q equal to I L, No. 1. In No. 2, draw M N perpen- dicular to M 0 ; from the centre M, with the radius M 0, describe the quadrant 0 N: divide the are 0 N into any num- ber of equal parts, say four, to z, 23/, g x, xN, at the points 2, g, a: ,- from the points x, g, 2, No. 2, draw lines (cu, go, zw, cutting M 0 at u, v, w ; transfer the distances Mu, uv, 12w, w 0, to the straight line I K, No. 1. Through the points of divi- sion, draw lines parallel to H G, to cut the diagonals G I, and H I; from the points of section in H I, draw lines parallel to H A, to cut the next diagonal A I: from the points of section in A I, draw lines parallel to A B, cutting B I : take the parts 0 z, zg, gm, :L‘N, No. 2, and extend them to K R, No. 1, and draw lines through the points of section, parallel to HG; make the two parts of the lines so drawn on each side of KR, respectively equal to the lines drawn parallel to HG, termi- nated by K I, and H I. W'ith the greater semi-axis M P, and lesser semi-axis MN, describe the quadrant of an ellipsis N P M: through the points 2, g, x, draw lines parallel to MP, to cut the elliptic curve : extend the elliptic curve so cut, upon the straight line HS, and through the points of section, draw lines parallel to H A; transfer each of the lines contained between II I and A I, respectively, to each of the parallels on the other DOM . 284 DOM side of H A; or draw lines through the several points of sec- tion in the diagonal A 1, parallel to 1 s, to cut the lines perpen- dicular to H s, and the points of intersection will form the direction of the line for the edge of the covering H S A. In like manner, by describing the quadrant of the ellipsis M Q N, and by drawing lines through the points z, y, w, to cut the curve N Q, by proceeding as before, we shall obtain the cover- ing A B T. The three coverings G R H, II s A, A T B, cover more than one-quarter of the whole, by the half coverings G R K, and L 'r B, of the side and end. The covering of each side so found answers to the opposite side, by turning the back for the front. Each covering, except that upon the side, and that upon the end, will cover four different sides : the covering upon the sides and ends only answer in two oppo- site places. The angle-ribs of this dome are found as usual. If the cir- cumference of each quadrant or rib perpendicular to the side, were ascertained by calculation, then the boarding could easily be laid out Without the use of a plan, upon the same prin- ciple as in Figure 5, as is obvious from what has already been said. To construct the ribs of a spherical dome, with eight axal ribs, and one purlin in the middle. Plate II. Figure 1, No. 1.—Let ABCDE FGII, be the semi—plan, which is supposed to be divided into four equal parts, and let A H be the diameter, terminating the semi-plan; divide the semi-circumference into four equal parts, from the extremity A, to the other extremity H, of the diameter A II ; and the points of division will mark the middle of the back, or convex sides of the ribs. This being the case, let B C c b, D E e d, F Ggf, be the plans of the intermediate ribs, B C, D E, and FG, having the points of division in the middle ; the lines B l), C c, D d, Ee, Ff, Gg, being the places of the vertical sides, and parallel to the lines drawn from the middle of B C, D E, F G, to the centre. Draw VX, N0. 2, parallel to A II, No. 1 : from the side A a, B C c l), D E e d, &c., draw lines cut- ting v X. perpendicular to A II ; then taking V X for the under side of the kirb or wall-plate, draw its proper thickness. In the elevation, No. 2, of the dome, the front ribs are quadrants, forming a semi-circle with the upper side of the wall-plate, which is of course the diameter ; the curves of the sides of each of the other ribs are the quadrants of an ellipsis of the same height with the front rib, and their projected places, from the plan upon the kirb V x, gives the lesser-semi-axis. To form the purlins, place the section of one of them in its situation, and, circumscribing its angles, draw the square m n op : draw m q, and n 7', parallel to V X, and the lines from the several angles of the purlins, also parallel to v x ; then, where they cut the opposite rib Y )1 form the section of the purlin, and then the circumscribing square q r s t. First form a ring, whose greater diameter is m g, or n r, and whose inner, or less diameter, isp t, or 0., and whose thickness is m 72, orpo ,- the ring being thus formed, gauge lines from each of the sides, as is shown by the section ; then cut off the angles made by the horizontal and perpendicular surfaces, between each two lines, on each two adjoining sides, and the purlin will be formed. The ribs of this dome are not complete quadrants, as they abut upon the upper kirb W Y at the top. The method of covering this dome is, to suppose the sur- face polygonal ; the principle is the same as is shown in Plate Ill. Figure 2.—The ribs of an elliptic dome are formed in the same manner as in Figure l, and the covering as in the pre— ceding Plate ; the covering of one quarter being found, answers for the whole, as has been observed. It may be noticed, once for all, as a general rule. to cover any dome, divide a quadrant of the plan into as many equal parts as there are to be boards in each quarter, then draw lines from the points of section, to the centre of the plan, and draw chords by joining each two adjacent points, so that there will be as many triangles formed as there are boards: from the centre of the plan, draw a perpendicular to each of the chords, meeting each chord; make the length of each perpendicular the base of a rib, and take the common height of the dome as the height of each rib, and place it at the extremity, at right angles to each base; and describe the quadrant of a circle or ellipsis, according as the base and height may be equal, or unequal. To find the covering for any side, divide the curve of the upper side of the rib, so found, into any number of equal parts, and draw lines perpendicular to the base to intersect therewith, and the whole will be completed, as shown in Plate III. No. 6, shows the covering over I ON; No. 7, over IN M; No. 4, the middle rib; No. 5, the rib between the side and end ribs. T 0 find the solidity of a square dome, the aural section: through the middle of the sides being semi-circles. Let the radius of the circle be represented by r ; suppose then, in the vertical section, that we draw any line parallel to the base, for the section of the generating plane, which is equal to the side of the generating square. Suppose the axis to be drawn upon the section, and the part of the axis from the summit to the generating line, to be denoted by x and y, to denote the half generating line; we shall then have, by the property of the circle, 3/ : (2 r x — 1’2) 12—, and conse- quently 2 g : 2 (2 7' x — a?) % the whole length of the side of the generating square. Therefore, 4 3/" = 4 (2 r m—w’ and 43/2 a}: : 4 at (2 r ai- —— w”) the fluxion of the solid. The fluent of 4 g2 at = 4 r a“ -— 4 x3 for the solidity of the seg- ment of the dome. Now, therefore, if the solidity of the whole dome be required, it is only supposing :1: to become equal to r; 4 w" 3 4 7‘3 8 r’ we then find 473%" ———3— __ 41' —T _ —3—. Sup- pose d : the diameter, equal to 2 r, and a = r, the altitude, 8 3 2 t2 then will -—§T— : —-(.32, that is, the solidity of the dome is l l l [ equal to two-thirds of the circumscribing rectangular prism. , If in the above dome, all the horizontal sections had been circles instead of squares, the dome would have been sphe- - rical ; let us suppose that p = .7854, the area of a circle, the diameter of which is unity, then in the case of the segment ' 4 as“ . . of the sphere, we have 1) (4 rx’ — T) for the solidity- of the dome when less than a hemisphere; or, putting 2 r : d, and a equal to the altitude of the segment, then 4 s3 4 a“ (4 r 93’ — ———) = p (2 da2 -— ) and the hen ispheric 3 3 2 d‘-’ a solidity is p ——-. The same form of expression may be 3 shown for all polygonal domes whatever: it is only using a. proper multiplier t'orp, when the radius of its circumscriblug. circle is unity. Suppose it were required to find the solidity of a trun- JD ®ME § . PLATE ZZZ. G git/w} r17) gum/z rib Hp , m, [29.5. / F I '15} . (i h c ' 72, I I, . i, L b L, given n k a \ ‘ i ! . ‘ - I I K EA ' ' "L I 6 . i \ C 1: 2' a D I HUI I‘I/ \\\ I i ’ L \\‘\/ ¢ ! _, \ g i o J\-B \ \ n, 17y.7‘4"';/. | IN M In L 11, v ”'0 P Q F E THE LONDON ERMITL‘YG AND PUBLISHING CORIPANZ LLMI‘EEI? DOM '285 DOM cated hemispheric dome, let .1: = the altitude of the dome, as before, then, by the nature of the circle, we have y” = r2—- at“ equal to one quarter of the generating square. 4y“ : 4 r2 — 4 w” for the generating square. 4 3/2 z" = 4 r’ a} —-— 4 and: the fluxion of the solid. 3 The fluent of 4y’d' :4r”w— 4x : now let d:the diameter equal 2 r, and a equal the altitude of the dome, then 4x3 4a3 4 r2 a: — —3— = d2 a equal to the solidity of the ' 3 square truncated dome, and p (d2 a —-i;—) equal the solidity of the circular dome. Let us suppose the same expression to be applied to a hemispheric dome, then tlienp .\ fl}? yAhf my ~../ i. «V g 2. .. f/H .. ///////,/,. /// / ¢fi,fl//fl / .5 .2 A42 / \ \ / 4 7 w /, CW 4 ; W //// 1221' (1711):)? ~ 1 4. 7J1.7. I 7/, 4,1,, .. /w// //// x1. ,,; // , /C w . 2, , S .N V]! (bi/Irv (bl/7w .70 [PM FAA L SELLSETNO C01»! AI‘ID - ING L GIN—D ON P K A, "41 r. ‘24:; «2‘ {man . m? i; w, manna» vhf. EDD “ 1, 2, 3, 4, 5, and 6. The level platforms, or steps, for the difi‘erent courses, whose upper sides are even With these numbers in Plate II. No. 2. being upon the level of Bud- yerd’s lowest step. " X. A piece of stone engrat‘ted into the rock, serving as a bridge to cross a chasm, opened by cutting down the top of the rock to that level, into the cave. Of this stone is formed a part of the border that encircles the work. Figure 2 shows how the buttress, G, was terminated in the second course. It also shows the places of the trenails and wedges; which in all these figures are shown in the same manner. The dotted lines everywhere refer to the course that is to come on ; and shows how it will break joint upon the course supposed laid. “Figure 3 shows how the space HIK, in Figure 2, is filled up in Figure 3, being confined in by the rise of the step L at H I, and the cramps a b ; the ground proving here irregularly shattered by cutting the steps for the former lighthouse. “ Figure 4 shows the structure of Course IV., where, in this, as all the others, the stones lighter-coloured denote the Portland, the darker the moor-stone. “ Figure 5. The position of three joggle-holes, Y, between this course and the next above. “ Figure 6 shows Course VI. complete, which brings the whole work to a level with the reduced rock: it shows the joggle-holes for the eight cubes ; and the central plug-joggle, fixed in place at 0, ready for the reception of the centre stone of Course VII. “Plate IV.—Plans (f all the difl’erent courses from the top of the rock to the top of the balcony-floor inclusive. “ Figure l. The proper plan of Course VII. relative to the section, Plate II. No. 2. As being the first entire course, the trenails and wedges are shown ; but afterwards omitted in the draughts, to prevent crowding the figures. The black lines and dotted lines show the joints of the alternate courses. The centre-stones, and the four stones surrounding, were alternatelycf the same size to the top of Course XIV. “ a. The centre plug, first set. “ b b. The square part of the centre stone ; from each of whose four sides a dovetail projects, and thereon are fixed the four stones 0 c, by joint—wedges and trenails, as per figure ; which five stones united make one stone, sufficiently large to receive eight smaller dovetail stones (1 d; and whose projecting parts form dovetails to receive another circle, or order of stones, fixed like the former. The cubic joggles are shown at e e. “ Figure 2. The plan of Course XIV. ending the funda- mental solid, and on which the entry and well-hole are begun. It also shows the diminution from Course VII. Upon this figure is shown the distribution of the smaller cubic joggles, which take place upon the entire solid. The entry here appears to have a small inclination with the E. and IV. line, which was not noticed in the section, Plate II. No. 2, to avoid ambiguities. “ Figure 3. The plan of Course XV. being the first of the entry-door and well-courses. “ Figure 4. The plan of Course XVIII. showing the work of the entry closed in, and the solid re-united. Also the manner of hook-jointing the four stones round the centre to each other; which, in the courses below the entry-door, were united by dovetails to the centre-stone. Joint-wedges were applied in the hook, as per figure. Thus the arrangement, in circles from the centre, was again complete. In the entry- courses, as every piece had at least one cubic joggle and two trenails, the work was secure against all ordinary attacks of the sea: the weakness being on the east side; but when 347 EDD \ capped and bonded together by this 18th Course, the whole was again considered as one entire stone, out of which the cavity had been cut. “ Figure 5 shows Course XXIII. ready for putting on the cap-course of the solid. “ Figure 6. The cap-course, making the store-room floor, in its finished state ; the first course of the habitable part of the building, viz. Course XXV. being upon it; and show- ing the store-room door, with its joggles, joint-stones, and cramps. “The detached figure, relative to it, shows a part of the top of the wall of Course XXV. to a triple scale; wherein .h hii denote one of the pieces of stone, whereof sixteen complete the circle : fshows one of the joggles used in this part of the building; being slices of marble, the size of a common brick, let half its thickness into the middle of the stone; so that the next course above, breaking joint upon the middle of this, according to the dotted line gg, half the joggle’s length will take one of the upper stones, whose joint comes upon it, and the other half'joggle the other : by which means every stone is fixed to its place, as it were, by two steady pins, one at each extreme. The black lines, hi, showing the joint at each end of this stone ; the small lozenge figures, it and I, show the shape of grooves, cut from the top to the bottom of each end of each stone, and which, when two are joined together, form that figure: It denotes the lozenge empty, or unfilled, and‘ l the lozenge filled with :1. joint stone. “m 72. The shape of one of the cramps, in upright; and 0}) as seen upon the flat. The holes in the stones at q r are bored, to receive the round shanks of the cramp, and the rectangular cavities gr are sunk, to bury the flat of the cramp o 19. “Figure 7. The plan of the kitchen floor, and the upper bed of Course XXIX. that encircles it; showing one of the endless chains; of which, as appears in the section, Plate II. No. 2, there are two to each floor. The detached figure shows an enlargement of the chain, and groove that con- tains it. “In the principal figure, the dotted lines at .9 show the place of the fire-grate. “tt. The sink. “vv. The dresser. “ww The settle. “at. A place for a claw table, leaving a vacancy to the window between each. “Figure 8. The plan of the bedchamber, taken upon the top of Course XLIII. which gives the horizontal sections of the windows. “ g g g. The places of the three cabin beds for the light- keepers. “ z, The hole in the floor for the copper funnel from the kitchen. “ a. The place of the clock. “In the detached figure, 66 shows how the cramps are disposed in the reduced jambs of the windows. “0. The plan of the rebate, to receive the shutters, or ports of the windows, whereof the uprights are seen in Plate II. “ d. The sill of the clear opening; against the solid of . which the window frame e f and sashes are lodged; the whole , of which go in together, and are held in by wooden pins, two ‘ above and two below, as shown at gg: the holes being bored in the solid stone. If those pins are cut off, the whole can be drawn out and renewed, without injury to the stone-work, The joint of the wood frame with the stone-work is secured against wet by white-lead and oil. WH—v—w . EDD “Figure 9. The plan of the cap of the main column, being in Plate II. N o. 2, the 46th Course, and composes the balcony floor. “hh. The man-hole in the centre, correspondent to the other floors. - “i. The funnel hole accordant with z in the last figure. “The dotted lines It]: trace out the octagon base of the lantern. “ The place of the under rail of the balcony is shown by the dotted lines mmm; and n nn denote sections of the studs upon which those rails are supported, correspondent to the uprights of Plate II. “Plate V.—- Original ideas, hints, and sketches, from whence the general form of the present building was taken. “Figure 1. The bole of a spreading oak ; its side-branches being lopped of, rising out of the ground with a sweep ; its taper diminishing till the sides become perpendicular; and on the insertion of the great boughs, again swells and overhangs. “Figure 2. The manner in which the smaller boughs and branches are obliquely inserted into the greater, with the reconciling curves that form the union. “ Figure 3. A specimen of paving to be found in the walking paths of London streets; being a mode of dovetailing in stone. “ Figure 4. A sample of stone dovetailing in the upright, taken from Belidor’s Arohit. Hgdraul. “ Figure 5. A copy of the first complete design made out for the solid courses of the Eddystone. The only material alteration afterwards was to diminish the size and weight of the outward circle of stones. “Plate VI.——-A view of the rock on the east side; and of the work advanced to Course XV. theflrst of the entry-courses,- showing the manner of landing and hoisting the stones, (5‘0. in every after-stage of the building. “Figure 1. The boat \Veston in the gut, delivering her cargo. “P Q. The two fender piles, to prevent her rubbing against the rock. “x. The cave, here seen in front. “ D. The gulley, through which a momentary cascade makes its way; and which was proposed to be stopped. “E F G. The shears; from the head of which are suspen~ ded the main tackle-blocks A B, whose tackle - fall, after going to the snatch-block E, passes to the Windlass, or jack- roll, whose frame being of iron, is fastened to the rock as per figure. _ “ The enlarged detached figure a shows the frame and roll frontwise, as seen from the snatch-block. “ b. The side-view thereof, the roll being seen endwise. “ c. The-manner of coupling the back-stay to the upright stancheons; and d shows, by a figure still more enlarged, the upper end of the stancheons for receiving the gudgeons of the roll. While the stone is hoisting, the man represented at I is heaving-in the tackle-fall of the runner and tackle H K: for, till the stones are cleared of the boat, the shears lay out con- siderably, and the out-hawler guy-rope, L M, is slack. This crosses the gut, and is fixed by a ring-bolt to one of the rocks of the south reef. By such time, therefore, as the stone is hoisted by the main tackle to the height of the entry-door, the shears are got into the perpendicular ; and then by easmg the out-hawler guy-tackle, L N, the stone comes into the entry-door. “The runner and tackle HK is hooked to the guy-chain, 0, which crosses the work, and passes down to the ring on the west side of the rock ; marked R in Plate I. “ Inthe detached Figure 2, the anchor-like piece of iron, 348 EDD by which the main tackle-blocks are hung, is shown to an enlarged scale at e f g h. This anchor being suspended upon a round bolt at e, that passes through the tops of the two shear legs, swings freely between them, and always putting itself in a perpendicular position, and producing fair bearings upon them,without any unnatural strain or twist, enables them to support the greatest weight possible. “In like manner the two arms of the anchor, gh, having the two guy-tackles hooked to them, the action of those tackles is upon the suspending bolt, and the feet of the shears turning freely upon eye-bolts fixed in the rock, they are at liberty to conform themselves to the position wanted; so that the stress upon the legs is always endwise. “ After the building was raised to the height shown Figure 1, the work was hoisted through the well-hole, till it arrived at the top of the solid, by means of the triangle and twelve-fold blocks wherewith the work was set; and are shown as standing upon the wall at the first vaulted'floor by the letters ih lm, being the fourth stage: but after that was completed (the man-hole being too small, and the height too great, without losing time) a jack-roll was established, as shown at the third stage in the lower store-room at Q: and a pair of movable shears, the figure whereof is shown at the fifth stage, as upon the wall, at the kitchen-floor; which, instead of guy-ropes, had a back leg, longer than the rest, whose bottom or foot cut with a notch, stepped upon the internal angle of the opposite wall; and was long enough to suffer them to lean over sufficiently for the stone at P to clear the wall. The shears themselves were prevented from falling over by a luff-tackle, shown upon the back leg, whose lower block hooked upon a lewis, in that stone the back leg stepped upon; by which it was brought tight and steady. \Vhen the stone was to he landed, this tackle being a little slacked, till the notch could be disengaged, and then set upon, the back leg would, by going over the wall, suffer the shears to come to the perpendicular, or beyond it. “ The stones, now become in general less weighty, a com- mon tackle was employed at the shear-head, which would go down to the entry-door, and there met the stones hoisted by the great shears: the tackle-fall of the movable shears, being taken to the jack-roll Q, the stones were got to the top of the building, in the same time they were raised from the boat to the entry-door. “ The detached figure R is the plan of the movable shears; where the check, or safety rope, n, is shown at the foot of the back leg. “ In this manner all the heavy materials were got up; the movable shears rising with the work, till the cupola was to be set upon the lantern. “ The sixth stage shows the apparatus used for this purpose. The great shears being now done with, were taken down and put through the windows of the uppermost room, and there, being well steadied, served as booms. The detached figure 5 being the plan of this stage, shows their particular dispo- sition; wherein op show the places or feet of the legs of the shears used for this particular purpose; also marked with the same letters in the relative upright. In this, the rope qr shows a side-stay to the leg or; and st is the stay of the legp t, each fastened to gs, the extremes of the booms. “ From each end of the cross-tree at the head of the shear-poles proceeded the ropes w .r, ga‘, which, joining in one guy-rope at :r, proceeds over a pulley in the end of the temporary timber at z: from thence, with the intermediation of a tackle, l, 2, it proceeds to, and fixes at the extreme ' end of the boom 3; and as the weight to be hoisted will prin- cipally lay upon this guy, the stay, or shroud rope, 3, 4, is 3541i; HH 7.3"!3 0‘1”” 3%? H3 > 114.7% V. n .3. I , I a M/[k/ I I /‘,(éj{}lv’ll’?}’/?(wfi’ r , _ 'i . u " ' w W 5331035 4'4” ")1, Hrvfilj‘ 1‘, I W / f 1 11”},11515551/31 ,;,/,,,,.,,,,,,,;w ”may! 1”,” ”I. <\\\\\\~\\\\. \ LHGHT HOUSE 9 41/ II II n/ f/Irfm/ 0/1 l/In] ml .rI)I’1,rIIIIlI)ff/II IIIII/ III/I mar/{2‘0 I'IIIII: rr XV hwy t/w/iI: rt ”fl/Iflfi'nz’rt/ (VIII/.1 (if .r/II M’llll/ f/II ”III/II”? IIfZIIIII/IIII/ IIIIII’IIIIILr/I'III] I/II JIIIIIIM' 3% 1/1 I-WI yofIIIII' 1)fi/7&.Blllllllll(/. ELAIE VI. "1T5, \ «‘1- m 4:!“I .I/ 7/. ¢ ./ \ \ . \% ‘K:\\_“ {6"}; ; f 5'ch o ’3 int‘r CHECIKCP '§- =_,j;;5“ {3531548. “1' r a fig '1’“ [x \_ v “W; LEGHT HOUSE. mm m. Plan and (Icwzv'ém’impbf f/w Wirr/c Kira; tmdflfiléflay, Wif/I/ i fi-fhrn 171/12 mm! llj’tflu‘llf . n ' P i. ' fly. I3. . ‘ \ Part 07‘ #11: find if, M V A)“ ‘a'fltrmt-f w W0 MFG?“ .q..__A _._‘_ _ V c- -w._.—.-.=. £13.14. 1-..— - -umm — " - Jingle "rim my 14),. 1.4. ‘ . u , W~~~~2J V+A._ , ********** fWT—r—I‘FT" —‘-§~<:~t=:fT-r—;rc V 43K! 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H g_ .‘A 1' 1’ EDD 349 EDD passed from thence through the window of the room below, and is there fixed. “ It is now plain, that by the tackle 1, 2, the shears can be let go over as far as necessary, and brought back into the perpendicular; but to counteract this main guy, and keep all steady, the rope 5, 6, 7, with a small tackle upon it, performs the office of an out-hawler guy, fixing to the same ring in the rocks, as that of the main shears had before done. This apparatus enabled the cupola to be hoisted and set on whole without a bruise. “Plate VII.—-Plan and description qf the work-yard at [Hill-Bag, with its furniture and utensils. “Figure l. The general plan of Mill-Bay, wherein the dotted line a b 0 shows the line of low-water spring tides. “ de. The channel dug from low water to convey vessels to the head of the jettyfg. “ I). ik l. The area of the work-yard. “ Since the removal of this work, has been built L the long-room. “ A C. The marine barracks. “ D D. New streets of Stonehouse. “ Figure 2. Plan of the work-yard and jetty. line terminating the head of the channel. Now any vessel lying against the two large piles BC, on which a pair of shears being erected, can be unloaded of her cargo of stone, and delivered upon a wheel-carriage; that passing along the jetty to the turn-rail E, the carriage is there turned round till it becomes fair with the rail-road E F ; and passing along it, en- ters the work—yard, whose boundary is marked by G G G G. “At '1‘ is another turn-rail, which enables the carriage to go on with its burden; either in the straight line, or to turn there and go along the rail-road in the middle of the yard, and arriving at any destined point, suppose H, it is there met by a roll-carriage; for which, planks being temporarily laid, as at I, the burden (being transferred on small rollers) will be easily moved thereon to the extremity of the yard side- ways; and thus stones can be deposited, as at KK (shown edgewise upward) upon any point of the area. of the yard, and returned by the same means. “ The area bounded by the line G G, and the dotted line L L, is the Portland workshed. “M denotes one of the bankers; to which, from the wheel- carriage (supposed on the rail-road opposite) strong joists being laid, as shown by the dotted lines, the pieces of stone are brought on small rolls; the bankers having notches sunk therein, to receive the ends of the joists. “ In like manner, the area N 0 was the shed for the moor- stone workers. “ The square area P Q denotes the extent of a roof, sup- ported by four posts, covering the platform; whereof ab represents the platings of rough stone walls; cd one of its principal floor timbers, 6 by 12; these being covered with three-inch planks, and brought to a true level, made a stout floor, upon which the courses were brought together. “ R. The cabin for the foreman of the yard. “ s. A small store-room for tools and iron-work. “ G W. The store-shed for Watchet lime and puzzolana. “ v x. The shed for bucking or beating the larger parts of the puzzolana. upon W Y, the bank with three cast-iron beds upon it. “Figure 3. Supposed a detached figure, being the ground- plan of the turn-rail at T (Figure 2) to an enlarged scale, wherein A B is a dormant circle of wood well supported; of which 0 marks the centre-pin fixed in the transverse beam D D: E E being connecting studs. “F F. Portions of the rails, whereon the wheels move, which are kept in place by the fillets f j; nailed on each side. 4U A son, the “GG. The sleepers for supporting the rails at about a yard’s distance middle and middle; as is also shown near E, in Figure 2. “ Figure 4. The plan of the movable turn-rail, and Figure 5 the relative upright ; showing also the section of the dor- mant circle. The three last figures having a mutual refer- ence, the same parts are marked with the same letters: and furthermore, in Figure 4 and 5. “ H I. The rail part of the turn-rail, correspondent to those parts marked F F, Figure 3, in width and height. The rail parts, H I, are strongly framed upon the cross-beam KK, and connected by the pieces L L. The whole being poised, with its burden, upon the pin C, but without absolutely touching the dormant circle AB while turning ; for bearing only upon the flat shoulder of the pin, it turns easily; but, when it is bringing on, or wheeling off, the equilibrium upon the pin being destroyed, the ends, H, I, are then supported upon the dormant circle, and the Wheels will move steady. “Figure 7 shows the plan, and Figure 8 the upright view of the wheel-carriage, to the same scale as that of Figures 3, 4, and 5. Also Figure 9, and Figure 10, give the upright views of the roll-carriage in two directions, to the same scale; which show distinctly the manner of supporting the axis of the rolls on iron frames; and how the iron frames are kept upright by four pair of cross bars. “Figure 11. The upright of the capstan-roll, axis, and middle part of the bar to the same scale. At 1, 2, is shown the capstan in full, to the scale of the yard ; and 3, 4, and 5, mark the direction of the rope, which, from a snatch-block at 5, ascends to the upper block of the main tackle, sus- pended from the top of the shears, as per Figure 6, wherein the in-hauler guy-tackle is marked 7, being a runner and tackle ; and the out-hauler, marked 8, are simple blocks. The guy-rope,,7, 6, was attached to a ring-bolt, passing through a large rough stone, rammed into the ground; its place being shown at 6, (Figure 2,) the out-hauler guy 8, 9, being secured in the same manner. “ ’ ‘he marble rocks, marked 10, go round the point of the bay. “ Figure 12. The elevation of the upper part of the jetty-headin front, with the shears upon it, to an enlarged scale ; more particularly to show the smaller parts. “A, B. The front pair of piles, to which the cross-beam CD is bolted, and, in like manner, to each pair of piles. “E, E. The ends of the longitudinal half balks. “ F F. The cross joists. “ G, G. The ends of the flat rails that the wheels of the carriage run upon. “ H H. A single cross timber, serving as a. stop to the car- riage at the end. “ I. The snatch-block. “NB. The scantlings are marked, because this jetty or scaffold, erected as slight as possible for a temporary purpose, sustained the whole tonnage of the Eddystone matter, in and out, without derangement. “ The detached Figure 13, gives a part of the top of one of the shear legs, showing how they were plated on each side, to support the bolt of the anchor from bending, and thereby from splitting the poles. “ Figure 14. The enlarged figure of the runner and tackle (marked 7, in Figure 6.) “K. The runner-block of one large single pulley. “LM. The tackle-blocks, of three pulleys each, making a purchase of twelve, equivalent to the great blocks. “ Figure 15. An upright diagonal view of the main-tackle blocks; having six pulleys each upon two pins; the larger tier being ten, and the lesser eight inches diameter. This EDD 350 EDD . figure distinctly shows the method of salvagee strapping; being double, that the pins being readily knocked out, they could be frequently greased without trouble. “ NB. The shears, blocks, and tackles, used at Mill Bay, were nearly the same as at the rock ; and one pair of main tackle blocks at each place, with the same pulleys, went though the whole service ; but the pins were renewed each season, and sometimes oftener, being of wood, on account of the salt-water; but were frequently greased. The main tackle-fall at each place was no larger a rope than of three inches circumference ; being a white rope, remarkably soft laid, hauser-fashion; and which is of material consequence. “ Plate VIII.—Descripti0ns qf supplemental matters, having reference to the Eddgstone building. “ Figure 1. An upright front view of the great tackle, or purchase-blocks of twenty sheaves, or pulleys. “Figure 2. A side view of the same blocks, referring to Figure 1. The advantage of this construction is, that the tackle-fall, or running-rope, may be reeved through the twenty sheaves, without a cross or interference; so that the standing part, or beginning, may be in the middle of the upper block: and the ending, hauling part, or fall, upon the middle pulley of the same block. The weight therefore being suspended by twenty ropes instead of six, as in common triple-blocks, the tackle-fall, as relative to a given weight, may he lesser, or of fewer yarns in the same proportion ; which renders the whole much more flexible and pliant, and which, together with the advantage derived from the mode of reeving, occasions their rising and falling nearly upon a parallel. Beginning in the middle, the greater sheaves are : reeved as far as can be on them; from thence going to the 1 first of the smaller sheaves, and reeving the whole of them 1 throughout, you then go to the first of the greater sheaves, before left unreeved, ending upon the middle sheave of the upper block; and thus arises a diminution of the friction from the more equal distribution thereof. “ Figure 3. An upright. section of the store-room, to an enlarged scale; in it is shown the centre whereon the upper store-room floor was turned; and in like manner the rest. “Figure 4. The plan relative thereto, the letters being common to both. “a b, c d. Two of the sixteen ribs, formed to the circle of the vaults of the floors. These ribs are connected at their ends by two wooden rings, cf; gh i k; the former supported by four posts, three of which are shown in their places, and the latter by eight; of which only one is shown on the right hand, and one on the left, to avoid confusion. The rings are each made to take asunder, that after striking the centre they might be got out of the room. “At ll, m 711, two of the ribs are supposed taken out, to show their bearings upon the rings; they were open centres, that it might be seen underneath when the joints were fair. ‘ “Figure 7, of Plate IV., shows how the sixteen radii of stones would apply to the sixteen ribs. In this plan, Figure 4, A shows the well-hole, and BB the cross timbers for supporting the four middle posts, whose places are marked out by dotted little squares. “ Figure 5. An elevation, and Figure 6, the relative plan of a dial stone, taken professedly from the general figure of the Eddystone lighthouse ; being the design of the late James, Duke of Queensberry, and by him erected at Ames- bury, \Vilts, with a dial upon it, by Mr. Ramsden. The drawing, of which this is a copy, was given me by the Duke; and is placed here as an instance, that the Eddystone column may be applied to some uses of architecture. “ Figure 7. One of the silver medals given to the seamen as a token of the service. “Figure 8. The tool wherewith the stones were got up from the bottom of the gut. “ A. One of the stones, with two trenail holes. “Suppose this stone lying flat in the bottom of the gut, the side A uppermost. The tool has a pole or staff, I) b, about twelve feet long. sufficient to reach the bottom. This single prong, c, is forged to a very gentle taper, such as to be thrust eight or nine inches into a trenail hole, (all of them being bored to a gauge) it can be driven by the pole, till fast; observing that the arm e corresponds to the centre of gravity of the stone. The water is generally so clear as to see to the bottom ; and, in case of any ruffle by the wind, can be in a great measure freed from agitation, by looking through a speaking trumpet, whose mouth is put down eight or ten inches into the water. The rope d e f being then set upon by the main tackle, instead of its drawing out, the length of the arm g causes the prong to jamb the faster in the hole; and the staff being quitted by the hand, with a cord to hinder its flying off too far, the whole assumes the position of the figure; and, when brought above water, is lowered into a yawl. “Figure 9. A section of one of the mortar buckets, and in it the beater. “Figure 10. One of the internal faces of the lantern’s glass frames, and therein the cross bars of iron, as they were actually fixed. Besides the flat at each end of each bar, distinguished by a darker shade, and through which the screws passed; each end was also cranked about an inch, so as to set the transverse part of the bars clear of the copper sash-frame; and they were cleared of each other at their intersection, by one of them being made straight, the other ' curved in that part. All the panes being taller than the candles, the chandelier rings are so hung, that when the candles are at rest, dispensing their light, that of one chan- delier passes through the range of panes A, and that of the other through the range B; and when the candles are snuffed, one of the rings of lights being seen through the range C, the other mounts to D, and vice versa. “Figure 11. The chain of triangles, from the Eddystone to the flag-staff of the garrison of Plymouth, for ascertaining their distance trigonometrically. “Figure 12. An enlargement of the work within the headlands of the Sound. “The whole country about Plymouth Sound being very uneven, I could not readily obtain a base better, than by very carefully measuring the two lines B G, B W, taking the . intercepted angle W B G; whence the right line W G was i obtained, making a base of 1871 feet, and which I cannot suppose to err more than half a foot. Again, the nearest place from whence the two beacons, W, G, could be commo- diously seen for the purpose, was the point 5; and all the three angles of the triangle W s G, being likewise carefully taken, I conclude the angle W s G = 10° 23’, taken true to a minute; that is, to Fig—gd part of the whole angle. The line s W could therefore be determined within fifid part; = which being considered as a new base of larger extent, may be esteemed true within shoth part of the whole. From this, and the angles taken as marked upon the scheme, the lines W P, W M, and W E, were successively determined; and finally F E, the distance of the flag-staff from the Eddystone, came out very near, but somewhat less, than fourteen miles. But the interior harbour of Plymouth, called Sutton Pool, being about three furlongs farther from the Eddvstone than the flag-staff, the whole distance may be esteemed fourteen miles and a quarter from Plymouth harbour.” l LEGHKTEPEH (Q KT S E13 . fIATE m ‘YGW_142,M . rw._52/./2Ydr :er-_'Jaa,wk ,xrr._ 23,.” EGY 351 EGY Thus was completed the Eddystone Lighthouse, which must ever be considered a masterpiece of its kind. The merit of utility is not its only characteristic : but in beauty, as well as in strength and originality, it deserves the highest admiration. And when we remember the extraordinary difficulties by which a work like this must have been surrounded, we must own, that had its constructor left no other memento of his genius, the Eddystone alone would be sufficient to immortalize the name of Smeaton. EDGE, the intersection of the two planes or surfaces of a solid, which is consequently either straight or curved, accord- ing to the direction of the surfaces. See ARRIS. EDGE, is also that side of a rectangular prismatic body, which contains the length and thickness, but in this sense of the term, the body to which it applies is generally understood to be very thin; thus we say, “the edge of a door,” the “ edge of a board,” meaning the narrow side. EDGE or A Tool, the meeting of the surfaces, when ground to a very acute angle. EDGE-TOOLS, all those which chip or shave in the operation of working. EDGING, in carpentry, the reducing of the edges of ribs or rafters, whether externally or internally, so as to range in a plane, or in any curved surface required ; backing is a par- ticular case of edging, and only applies to the outer edges of ribs or rafters, but edging, or ranging, is a general term, and applies indifl'erently, either to the backing or internal surface. See the terms BACKING and RANGING. EDIFICE, (from the Latin, cedg'ficium,) a building con- structed either for use or ornament. The word is not usually applied to a mean or inferior building, but to temples, churches, or elegant mansions, and to other great structures. See BUILDING, HOUSE, TEMPLE, 8m. EDILE, (Latin, cedilis, from cedes, a building,) an officer in ancient Rome, whose business was to superintend build- ings of all kinds, more especially those of a public character, as temples, aqueducts, bridges, &c. EFFIGY, a representation or likeness of anything, the term being particularly applied to sculptured representations of human figures. Such effigies were very common on tombs erected from the fourteenth to the sixteenth centuries, and were of various materials, stone, marble, alabaster, and even of the precious metals. EGGS, ornaments in the form of oblong spheroids, having their greater axis inclined, projecting at the top and receding at the bottom, but each axis in a plane perpendicular to the surface of the ovolo. In straight mouldings, all the axes will be in the same plane; but in annular mouldings, or those generated round an axis, all the axes of the spheroids will be in the surface of a cone, whose vertex will be downwards, and will terminate in the apex. The eggs are most generally truncated, or have their upper part cut off by a plane parallel to the horizon. See ECHINUS. EGYPTIAN ARCHITECTURE. The character of the Egyptians, as developed in early history, would naturally lead us to suppose, that an inquiry into their style and man- ner of building would form a subject for interesting study, not only to the antiquary, but also to all such as take any interest in general history; and such doubtless is the case. The history of the place attaches an unusual interest to everything connected with it. Of the early history of Egypt, like that of the other primteval nations, we know but little for certain, all narrative dating back beyond acertain period, having an air of mystery about it, which it is not easy to penetrate, and this fact is more especially true, as regards the origin of nations. If we believe the records of the Egyptian priests, as handed down to us by Herodotus, Manetho, Eratosthenes, and others, we shall have to carry back the date of its origin far beyond the period generally assigned as the commence- ment of history. Manetho gives us a series of dynasties upon dynasties, which, if successive, reach beyond the bounds of time; to obviate which difficulty, it has been suggested, that they were not all successive, but several contemporaneous, reigning over different parts of the country; but, indeed, the whole matter would seem to be fabulous, for in the same place is related the gigantic stature of several kings, their wonderful exploits, and other circumstances characteristic of mystical and confused tradition. The first king alluded to by historians is Menes or Men, who is supposed to have lived above 2,000 years B. 0., about the time of the foundation of Assyria by Nimrod, and of the reign of the Chinese emperor Yao, with whom the historical period of China begins. It is doubtful which of these nations came first into existence; we are inclined to give the preference to the Assyrians, but which- ever takes the lead, there was probably but little difference between them in point of time. It is certain that Egypt stood out pre-eminent in civilization, and that, too, at a very early period; its success in the cultivation of the arts, and in the pur- suit of science, was greater than that of any contemporaneous people, as is evident from their remains to be seen at the pre- sent day. At the close of Manetho’s sixteenth dynasty, the irruption of the Hyksos, or shepherds, is supposed to have taken place ; his seventeenth dynasty consisting of shepherd- kings, from which period it is alleged that the erection of the existing edifices must commence, all the previously existing buildings having been destroyed by the shepherds. As a proof of this, is adduced the circumstance, that at Carnac, and other of the oldest monuments of Thebes, sculptures and painted stones, of good workmanship, are to be found, used as mere materials in the body of the walls. Besides the ancient authors already mentioned, we have Strabo and Diodorus Siculus, who have given Some account of Egypt and its buildings, and to these we shall have to refer occasionally as we proceed. In turning to modern writers on this subject, we shall find but few who enter fully into the subject previous to the com- mencement of the present century, little or nothing having been known of Egyptian buildings, unless it were of the Pyramids, until the French expedition, at the close of the last century; no satisfactory delineations of the temples, or their details, had been taken, but only such sketches as were calculated to convey some general idea of their characteristic massiveness. To Denon, and the contributors to the great French work on this subject, we are principally indebted for our present information. Pococke and Norden have treated somewhat largely on their researches in this country, but. their remarks are too general and too loose to be of much service. Denon had advantages unattainable by any of his predecessors; independent of his own high qualifications, his efforts were seconded by the able assistance of men of talent, sent out for the purpose, themselves well fitted for the task. Besides these, we may mention Belzoni and Champollion; and, amongst our own countrymen, Savary and Wilkinson. According to Manetho's account, the temples to which the remains described by Denon belong, were erected by the first dynasties of the Pharaohs, or about 2,200 before Christ: these first structures, however, were destroyed by the inva- ding shepherds, as before noticed. These usurpers were, in turn, driven out by the Pharaohs, who were restored to their throne about 2,000 years 13.0., and thereupon set about rebuilding .the temples, the remains of which are seen at this day. The character of Egyptian architecture is that of massy grandeur and severe simplicity, as exhibited in the simple, EGY 3 2 EGY well-defined outline, and in the colossal dimensions of their temples, and the immense blocks of material employed in their construction. The great object of the builders seems to have been, that the strength and durability portrayed in the prodigious magnitude of their structures should serve to typify their own greatness. They did not consider, when they were erecting their temples, that they were building them for an age, but for eternity; nor, comparatively speaking, were they deceived in the estimate of their works ; for now, after the lapse of three or four thousands of years, we have some portions which are likely to last as many more centuries, unless wantonly destroyed by the hand of man. Had, indeed, the buildings only to contend with the ravages of time, we should have many a structure perfect, where it is now a heap of ruins: had it not been for the reckless destruction of these wonderful monuments by Cambyses, it is questionable whether they would not all have been entire at the present day, and certainly in a better state of preservation than many modern buildings which have not numbered as many ten years as the former have centuries. Even now, the carving, and, in some instances, paintings, to be seen in the ruins, are as fresh and bright as if only just executed. The immense size of the stones employed, and the mecha- nical art necessary for transporting them from the quarry, and afterwards raising them to the required elevation in the temples, when building, cause these sacred structures to appear like works of superhuman labour. In every degree, they exhibited a solemn majesty of style, and imposing grandeur; while austere simplicity, combined with order, uniformity, and regularity, pervade the whole design. This, with the solidity and massiveness of the parts, and the prodigious dimensions of the stones, imparted an air of the most impressive and awful sublimity on the mind of the beholder. Belzoni, who visited Egypt, observes, in his enthusiastic ‘manner, when entering this magnificent temple—“I was lost in a mass of colossal objects, every one of which was more than sufficient of itself to attract my attention; I seemed alone in the midst of all that is most sacred in the world; a forest of enormous columns, adorned all round With beautiful figures, and various ornaments, from top to bottom; the graceful shape of the lotus, which forms the bell-shaped capitals, and which is so Well-proportioned to the columns; the friezes, also adorned in every part with symbolical figures in low relief, representing battles, pro- cessions, triumphs, priests, and sacrifices; all relating to the ancient history of the country. The walls of the sanc- tuary, usually formed of red porphyry granite; the high portal, seen at a distance from the openings of this vast labyrinth of sacred edifices on each side of me, had such an effect upon my soul as to separate me in imagination from the rest of mortals, exalt me on high above all, and cause me to forget entirely the trifies and follies of life l” “It further appears,” he says, on entering the city of Thebes, “like entering a city of giants, who, after a long conflict, were all destroyed, leaving ruins of their various temples as the only proof of their former existence.” Champollion exclaims of Carnac, “These porticos must be the work of men one hundred feet in height ;” and Denon adds, “Such struc- tures appear like dreams, or the works of giants 1” Of the impression made upon the mind of Denon by these stupendous structures, we have sufficient evidence in his work on the subject; the few following passages have been selected from a multitude of a similar kind. Of the portico of Hermopolis, he says, “ This was the first monument which gave me an idea of the ancient Egyptian architecture, the first stones that I had seen which had preserved their original distinction without being altered or deformed, and had remained there for four thousand years; here I fancied I saw engraven on every stone the words Posterity—Eternity. It gave an idea of the immense range and high perfection to which the arts had arrived in this country. If a peasant should be drawn out from his mud< cottage, and placed before such an edifice as this, would he not believe that there must exist a wide difference between himself and the beings who were able to construct it, and, without any idea of architecture, would he not say, ‘ This is the work of a god; a. man could not dare to do it, or inhabit it.’ ” This is his first impression, nor is his admiration less apparent at the close of his researches ; novelty may excite wonder and interest, but merit alone can maintain them. At a later period, the description of Tentyra calls forth the following remarks :— _ “Nothing is more simple and \‘better put together than the few lines which compose this architecture. The Egyp- tians, borrowing nothing from the style of other nations, have here added no foreign ornament, no superfluity of materials; order and simplicity are the principles which they have followed, and they have carried them to sublimity. At this point they have stopped, and have attached so much importance to preserving the unity of design, that though they have loaded the walls of these edifices with has-reliefs, inscriptions, historical and scientific representations, none of these rich additions intersects a single line of the general plan, all of which are religiously preserved unbroken; the sumptuous decorations which appear to the eye when close to the building, all vanish at a short distance, and leave full to view the grand elements of architectural composition which are dictated by sound reason. It never rains in this climate, all that is wanted therefore is a covering of plat- bands to give shade, but beyond this neither roof nor pen- diment are added; the plain-slope is the principle of solidity; they have therefore adopted this form for every main sup- porter, doubtless with the idea that stability is the first impression that architecture should give, and is an essential constituent of this art. With these people the idea of the immortality of the Deity is presented by the eternity of his temple ; these ornaments, which are always rational, always consistent, always significant, demonstrate a steadiness of principle, a taste founded upon truth and a deep train of reasoning; and if we even had not a full conviction of the eminent height to which they had attained in the abstract sciences, their architecture alone, in the state in which we now find it, would give the observer of the present day a high opinion of the antiquity of this nation, of its cultivation, and the impressive gravity of its character.” Of Carnac he at last exclaims—“One is fatigued to describe, and to read, and to think, of such a conception; after having seen it, one can hardly credit the reality of the existence of so many structures collected in one spot, of their size, of the determined resolution (constance obstim‘e) which exacted their erection, and of the incalculable expense of such magnificence.” Of the aesthetic character of Egyptian architecture, our author observes :—“ These monuments, (Tentyra,) which imprinted on the mind the respect due to a sanctuary of the divinity, were the open volumes in which science was unfolded, morality dictated, and the useful arts promulgated; everything spoke, every object was animated with the same mind. The opening of the doors, the angles, the most private recess, still presented a lesson, a precept of admirable har- mony; and the lightest ornament on the gravest feature of the architecture, revealed under living images the abstrac: truths of astronomy.” EGY 353 EGY “Painting added a further charm to sculpture and archi- tecture, and produced at the same time an agreeable richness, which did not injure either the general simplicity or the gravity of the whole. To all appearance, painting in Egypt was then only an auxiliary ornament, and not a particular art; the sculpture was emblematical, and, if I may so call it, architectural. “Architecture was therefore the great art, or that which was dictated by utility, and we may from this circumstance alone infer the priority, or at least the superior excellence, of the Egyptian over the Indian art, since the former, borrowing nothing from“ theulat'ter, has become the basis of all that is the subject of admiration in modern art, and what we have considered as exclusively belonging to architecture, the three Greek orders, the Doric, Ionic, and Corinthian. We should therefore be cautious of entertaining the false idea which is so prevalent, that the Egyptian architecture is the infancy of this art, since it is, in fact, the complete type. Such is the universal and oft-repeated admiration of modern travellers: had such expressions been used by an ancient author, and the buildings now demolished, we should have been apt to treat the matter as purely-fabulous, but now they are undoubted realities, and stand as evidence of the truth of history. Such structures could doubtless have been erected solely under a despotic government, and probably, for the most part, by captives or slaves, and not by free Egyptians, as we read of the Israelites in the time of Moses being tasked in this manner : the manual labour employed on such struc- tures must have been enormous. It is a matter of the greatest wonder how such immense masses of material were transported from the quarries, and fixed so accurately in their respective places ; even in the present day, with all the advantages of machinery and steam-power which we possess, the erection of such structures, as those of Egypt would be considered no light undertaking. Notwithstanding the vast magnitude of these erections, they were remarkable not only for their size, but no less for their enrichment ; ornamentation of various kinds-was lavishly distributed over the whole surface. It is true, the buildings appear to greatest advan- tage when exhibited as a whole, yet each minute portion will bear, nay, require, minute examination ; a close inspection reveals the most elaborate enrichment, while a distant view exhibits the noble outline and the grander features of archi- tectural composition. No two styles would at first sight appear more dissimilar, more antagonistic, than the Egyptian and Gothic, the one ponderous and massive, the other light and elegant ; the one flat, of low proportions, and presenting a great extent of unbroken horizontal lines, the other slender, lofty, and aspir- ing. What contrarieties do they present! and yet we shall find that they have many characteristics in common, not indeed in their architectural features, but in the aesthetic principles followed out in their construction and decoration. The temples of the Egyptians were but the embodiment of their religion; their massive proportions typified the greatness, as the continuity of the outline and repetition ofparts illustrated the eternity and immutability, of their deity. Their objects of worship inspired feelings of profound awe, so likewise did their temples. Nor were their decorations merely the result of caprice, but of studied design; every detail was sub- servient to some great end, and suggested by some urgent reason; they all have a symbolical meaning, illustrative of the Divine attributes, and consist, in short, of a series of religious dogmas and precepts, embodied as it were in forms. They were, as is said of the pictorial and carved enrichment of Gothic edifices, the books of the unlearned, each object speaking more intelligibly and more impressively to the eye fl...— . and mind of the beholder, than would whole volumes of written precepts. “ The materialism of Egyptian worship,” says a writer on this subject, “rendered all these details essential ; it fixed the imagination on physical nature, and obliged the ecclesiastics to seek those forms best calculated to express the dogmas of their religion. And in contemplating their architecture, it is impossible not to be struck with the manifest influence religion has had in its creation.” In allusion to another similarity as regards the'circumstances connected with the erection of Egyptian and Gothic edifices, he says, “ The priests, who were the great depositories of all knowledge, were the exclusive designers of their religious edifices ; they alone directed the taste of the architect and the sculptor ; and they employed architectural grandeur, with all its accessories, to influence the minds of those people whose actions they wished to govern ; nor can I imagine anything better suited to inspire religious awe, and a profound reverence for the divinity, as well as his earthly agents amongst an idolatrous people, than this style of architecture.” In passing, we may remark upon another affinity between the two styles, which approaches more nearly to an architectural characteristic, and that is, the practice of copying nature, all the decorative details of Egyptian, as of Gothic architecture, being the most beautiful imitations of the natural productions of their cgmtrgL—cgthevlotus, palm, reed, papyrus, &c. Having thus given a description of the general character of this style of architecture, it will be as well to proceed at once to the consideration of the buildings more in detail, as regards plan, distribution, and arrangement of parts, method of construction, and such like ; in doing which we shall take as an illustration the temple at Edfou, or Apollinopolis Magna, one of the largest in Egypt. The size ofthis temple is much more comprehensive, and its arrangement much more complicated than that of Grecian struc- tures, for whereas the latter consisted ofasingle cell surrounded by a wall with external columns, the former was composed of several courts, one within and beyond the other, and having columns for the most part within the walls. The entrance to the whole building was through a door placed between, and somewhat in advance of,two enormous pyramidal towers, termed propylaea, which rose considerably above the general mass of the building, and were covered on the sides with sculptured figures of colossal size. The plan of each pyramid in this case measures 104 feet in length and 37 feet in width at the base, the dimensions diminishing gradually to the summit, where they are 84 feet by 20 feet, the height being about 150 feet. Each mole is finished by a projecting cornice,and is surrounded on all sides by a bold torus moulding. They may be con- sidered as solid structures, for although they contain chambers with their approaches, still these bear so small a proportion to the entire mass, that. they amount to no more than small voids or cavities. The colossal entrance between the pyramids is crowned with a cornice, and finished at the angles with a torus-moulding similar to the propylaea, and was probably furnished with folding doors, as the notches for hinges are still visible. This door-way gave admission into a peristyle court having twelve columns on either side,and four on either side of the entrance at a little distance from the propylwa. The pillars at the sides are placed at some distance from a wall, which commences at the moles and sur- rounds the entire temple, and the space between this wall and the columns is roofed over, so as to form a covered-way or piazza, which leads on either side to the doors of the stair- cases in the propylaaa, and is continued in a similar manner in front of them, on the entrance-side of the area. The colon- nade throughout is picnostyle, which seems to have been the EGY 354 EGY usual disposition, the intercolumn being seldom greater than a diameter and a half, except in the centre of a portico, where a doorway intervened, which practice is identical with that of the Greeks, as evinced in the Doric order. The height of the colonnade from the base of the columns to the top of the projecting cornice, with which they were sur- mounted, is about 38 feet. This court is not level, but has a considerable ascent towards the farthest side, which is effected by a series of low and very wide steps, extending the whole width of the quadrangle, and commencing at its entrance. The width of each step is that of a column and inter- column, and the total rise is 56 feet. This alteration of level seems to have been introduced for the purpose of giving elevation to the grand portico which forms the farther side of the court, and consists of eighteen columms, in three rows of six each, placed one behind the other, and flanked on either side by a wall so as to resemble a Greek hexastyle in antis, with the exception that here there are three parallel rows one behind the other, while in Grecian temples there are never more than two. The portico, however, bears a greater resemblance to the propylaea of the Greeks, than to their temples, both being open in front, and enclosed on their other sides, having several rows of columns one behind the other. The columns in this portico, or pronaos, are loftier than those in the court below, and are surmounted like them with a projecting cornice. The spaces between the front row of columns are filled up to about half their height with a screen or dado, which gives the upper part of the inter- column the appearance of a window. The middle intercolumn is treated in a somewhat different manner, the wall or screen being carried up somewhat higher, and advanced a little in front of the general line; the sides likewise being flanked With short columns, andf the entrance to the pronaos being cut through the screen.‘ In the wall at the further end of this first hall, is an entrance into a second of smaller dimen- sions, a space being taken off each side for passages. This hall is hypostyle, covered with a flat roof composed of thick slabs of stone, resting on large stone beams, which are supported again by twelve columns disposed in three rows of four each, closely set, so as to leave only narrow passages between them. From this hall we come into a chamber, having its greatest length in the width of the building, as also has the portico, and having entrances to the passages at the side of this chamber, and the hypostyle hall, from which access is obtained by means of steps to the top of the sekos. Beyond this is another similar chamber of smaller dimensions, having a cell on either side, supposed to have been for the priests. Entrance is obtained from this chamber into the sanctuary, which is a small covered chamber, having its greatest length parallel with that of the main building; its size is about 33 feet by 17, and in it was placed the image of the deity. Round the two sides and further end of the sanctuary, is a passage, to which access is obtained from the second chamber, and round this again a larger area of similar shape, into which the smaller one led, and which gave access to the top of the sanctuary. In most instances, in front of the whole building, and a short distance in advance of the propylaea, were erected two obelisks of great height, and covered with hieroglyphics, and in front of them a long avenue, or dramas, as it is called, formed by two rows of sphinxes, placed at short intervals from each other, the space between the two rows forming a way or road to the temple. Strabo, the historian, who saw this temple we have been describing, alludes to this avenue—“ Before the pillars or propylma,” says he, “ is a paved road or avenue about 100 feet in breadth, or sometimes less, and in length from the entrance from 300 to 400 feet, or even more. This is called the dromos; through the whole length of which, and on each side of it, sphinxes are regularly placed at the distance of 30 feet from each other, which forms a double row on each side. Between the sphinxes you advance towards the temple, until you come to a large propylaeum or triumphal entrance, through which you pass; and as you advance, you come to another propylaaum, which you pass through; then to a third; and still keep passing on until you come to the entrance into the temple.” The above description, although of a particular example, 'will answer with but little alteration for any other temple, all such buildings being built on a similar plan, with but slight variations in particular instances. They all consist of a sekos, or sanctuary, of small dimensions, situatednear one extremity of the building, surrounded on all sides with chambers, passages, and courts, and approached through a Series of covered halls and colonnaded atria, the whole of the buildings being inclosed within an outer wall, and having a grand entrance flanked by two pyramidal moles. No matter to what date a building may belong, or what position it may occupy, the general form is the same, the only differ- ence being in the size, and in the number of adjoining courts and buildings. In some cases, we have two or more pro- pylaea, and courts preceding the temple, and sometimes avenues of columns crossing the courts in a line from the entrance. The temple at Luxor has as many as three courts, the first with a double peristyle, the second with a double range of columns extending throughout its length, and the third flanked by colonnades, each consisting of a double row of columns. "1‘0 give some idea of the magnitude of this work, we may add, that in the second court, the columns were 56 feet high, and 11% feet in diameter. We now pass on to consider the elevation of such buildings more in detail. The contour of the elevation was pyramidal throughout; not only did the obelisks and propylaea present this appearance, but even the walls, spreading out at the base, and converging towards the apex, and as these formed the external face of the building, they gave the whole a pyramidal appearance, which doubtless adds considerably to the expression of strength, which is a marked characteristic of the style. The columns are the only parts of the building in which this form is not observable, their profile being for the most part vertical. This is just the reverse of Grecian architecture ; for there the walls are vertical, and the columns sloping or conical, the general effect, however, is the same—— pyramidal; for whereas in the Grecian buildings, the sloping 'columns are placed on the exterior, in those of Egypt the walls are external, surrounding the upright columns, so that the profile of the building, taken as a whole, is the same, although the arrangement is reversed. \An Egyptian order—if we may so apply the term—con- sists, like the Greek, of column and entablature, which parts we proceed to consider separately. j Existing remains offer us examples of columns in great variety, differing in shape, proportions, and decoration, a few specimens only of which we can pretend to notice. The diversity observable in them is so great, that it would be futile to attempt a detailed classification ; for examples which present similarities of form or decoration, differ in proportions, while those agreeing in the latter vary in many other particulars. {As in other styles, the column consists of three members, ‘ base, shaft, and capital; the first, however, can scarcely be termed a distinct member, being in some cases scarcely recognizable, and in none forming a very prominent feature. It is usually a plain circular slab of stone or plinth, sometimes projecting from and at others flush with the face of the shaft, or of the same projection as the widest or bulging portion of the shaft, and 355 EGY» projecting forwards somewhat at their junction, where the . shaft curves inwards. The shafts present many variations, both in contour and decoration; their most usual form is that of a cylinder, or more nearly approaching the cylindrical than any other figure, there being frequently a. slight difference between the upper and lower diameters. Sometimes the shaft contracted suddenly immediately above the base, the contour of this portion being curvilinear, and forming a tangent with the upper surface of the base, resembling in shape the calyx of a flower, the similarity to which is made the more remarkable by the leaves carved upon its surface. This last form can scarcely be recommended for its beauty; for in spite of the assertions of its admirers, it certainly does present an appear- ance of weakness. It is said that in such cases the judgment comes to the assistance of the senses, and corrects the eye, and that what is well known to be strong, cannot fairly be said to appear weak, and this is doubtless true to a certain extent; nevertheless, speaking abstractedly and artistically, this form is decidedly objectionable. In some instances, the columns slope downwards in a slight degree, similar to those of Greece. The cylindrical shafts are usually reeded, giving the surface the appearance of a number of staves or reeds placed round a common centre, or of a bundle of reeds, whence this kind of column has obtained the name of the bundle pillar. This resemblance is borne out by the fact, that such shafts are usually cinctured at intervals by bands con- sisting of three or more rings, which gives one the idea of a bundle of reeds bound round with reeds or rushes to preserve them in their position. These bands are ‘sometimes of greater width, and have a plain surface, or one of the inter- vals between two bands is left blank, which again is often filled up with hieroglyphics or other ornament. Specimens of reeded shafts of the different descriptions mentioned, are to be found at Beni-hassan, Hermontis, and Latopolis, and indeed in almost every locality; they are more prevalent than any other form. At other times, the reeds entirely disappear, the plain shaft being divided vertically into a number of compartments as before, by means of annulets or bands of reeds, and these compartments filled in with hiero- glyphics; many elaborate examples of this kind are to be seen at Dendera. Although cylindrical shafts are by far the most general, yet we occasionally meet with examples of a polygonal form, and sometimes with plain rectangular piers ; a remarkable instance of the former exists at a temple at Eilethyas, on the right bank of the Nile, a few miles south of Esneh, where, in the interior of a large vestibule, the whole of the roof, as Mr. Barry informs us, is supported on polygonal columns of sixteen sides. Examples of the rectangular piers are described by the same writer as existing at Beni-hassan. l) Instances of the employment of Caryatid figures in the place of columns are not unfrequent, they are placed in front of square piers, and do not bear the whole weight of the , superincumbent mass, which is mainly supported by the piers. Examples of this kind are to be found at Ramesseion, Thebes, and Ibsambal, on the banks of the Nile, between Egypt and Ethiopia. The pronaos of the last-named temple, according to Belzoni, is 57 feet long and 52 wide, supported by two rows of square pillars, each having a figure of Sesostris attached to it, about 30 feet high, finely executed, and in good preservation. The pillars 'are five and a half feet square, and the sides are covered with hieroglyphics. {Of capitals, Egyptian architecture affords a vast variety, widely differing in form and character. One prevailing form is the bulging or bulbous capital, which projects from the shaft in a flat Curve, but, instead of continuing to expand as it proceeds upwards, it recedes back, gradually diminishing in thickness, until at its junction with the abacus its diameter equals that of the shaft ; the contour is similar to that which would be produced by a slightly yielding body pressed down by a superincumbent weight. Sometimes this capital exhibits a plain surface, only relieved by hieroglyphics arranged in horizontal rings, as at Kournon ; at others, it is divided into eight or more compartments, or shafts, running vertically from top to bottom, and covered with hieroglyphics, or‘reeded, in which latter case another subdivision of shafts frequently takes place about half way up the capital, or the shafts are interrupted by one or more horizontal bands, either plain or covered with hieroglyphics, as at Latopolis. The simplest capital of this kind is where the reeds of the shaft are car- ried up without any interruption, with the exception of a band at the top of the shaft, underneath the bulge of the capital. Another form of capital, which was frequently adopted, is the bell-shaped, resembling, in contour, an inverted bell, and covered with leaves, flowers, &c., or they may be said to resemble the bell and petals of a flower, the upper rim turn— ing over, and bending downwards. This rim was sometimes perfectly circular, but at others divided into a number of convex curves, forming so many distinct petals. The lotus, papyrus, and palm seem to have been the favourite plants for introduction into this kind of capital, and so beautifully were they carved, as frequently to exhibit the most delicate and minute parts, such as the petals, pistyles, reeds, &c. Exam- ples are to be found in almost every building ; among others we may mention those of Hermontis, Latopolis, and Apolli- nopolis Magna, where there are some exquisite specimens; indeed, all the capitals of this form are exceedingly delicate and beautiful, of elegant form, and chaste enrichment. An example of somewhat similar character is given, selected from the temple of Esneh, but in this case the contour is different, being convex instead of concave; the treatment, however, is similar, and the design good. Another capital is frequently introduced in the greater temples, which may be termed a. double capital, the lowermost of which consists of four Isis’ faces, disposed so as to form a square larger than the shaft, the folds of the head-dress on each side hanging down, and projecting beyond it at the corners. Above each face is a projecting abacus, with a concave face, and standing upon these, a square temple, which forms the second capital. Instances are likewise to be found of triple capitals, which consist of the last-mentioned double form placed above one of the bell-shaped kind. Another instance of a double capital is given, taken from the temple of Typhon, which consists of a rectangular block placed upon a bell-shaped capital, against each of the four sides of which sits an image of the god. Heads of animals are sometimes carved in the place of capitals, amongst which are those of the bull, which form is worthy of notice as approximating to the capitals found at Persepolis. Rarely we find columns without capitals, or with a simple rectangular block, which is little better than an abacus. The Egyptian abacus varies from the Grecian in being nothing more than a plain square plinth, of consi- derably smaller dimensions than the capital, and therefore receding from, not projecting over, as in classical architecture; indeed it scarcely forms a member of the capital at all, for, on account of its great depth behind the capital, it is scarcely visible, unless it be of extraordinary height; its purpose seems to be, to form a marked division between the column and entablature, and obviate that heaviness of appearance which would otherwise be occasioned. The bulging capitals form an exception to this rule, for in them the abacus projects, and overhangs the capital, the object of which is apparent EGY 356 EGY from the peculiar shape of the capital; in this case it is usually ornamented with hieroglyphics or otherwise. We have here referred to some few of the specimens of capitals which remain, and but a few, for there is a great variety, several of which may frequently be found in the same building; and even in the same hall, or other part of a building, may be seen capitals of different design though of the same general appearance, which circumstance is similar to that observable in Gothic buildings. The proportions vary in like manner ; they seem to have had no settled rule as to design or proportion, which were purely matters of individual taste. The arrangement was generally picnostyle, especially in the covered halls, where they had to support large masses of stone, which were used for roofing. The design for the entablature, on the contrary, seems to have been unalterable, for with the exception of some little diversity in the ornamentation, they are universally of the same form and character, and this is the case, however much buildings may differ as regards their columns. It comprises two parts only, the epistylium and the cornice, the former of which was flush with the walls underneath at each end of the colonnade, answering to the Greek antae, with which likewise they are enclosed within a bold torus-moulding, and present a similar appearance to the architrave of a door, being returned at the sides. The torus-moulding is a marked feature in Egyptian buildings, running up every angle of the building, and then returning on both sides under— neath the cornice. The architrave is frequently plain, some- times covered with hieroglyphics, but most frequently has a winged globe over the entrance in the centre, which is sup- posed to have been symbolical of the deity. The cornice is a very prominent feature in this style, and is introduced as a crowning or finish in every situation, with or without the architrave : it is seen at the entrance of the temple, over the doorway and propylaea; within, over the colonnade and portico; and on the exterior, crowning the whole length of wall. It consists of but little more than a deep cove, but produces a great and beneficial effect by the bold shadow which it casts. The surface is divided into panels by an ornament similar to the Doric triglyph, ora band of three or more reeds placed side by side, with gene- rally a narrow interval between each two ; when, however, the band is composed of a greater number of reeds, they are placed close together. The metopes or panels are filled up with some kind of ornamentation. This formed the termina- tion of the building, for the roof being flat, there was no such thing as the pediment, the finishing line was horizontal. Let' us return for a few moments to the column, the sim- plest form of which appears in an example at Beni-hassam, as figured by Mr. Barry, and in reference to which he says: “The prototype would appear to have consisted of four large reeds of the Nile, placed upon an angular block, and tied together by cords near the top, forming thereby the capital. Small sticks are introduced between the reeds at the place of ligature, to render the figure ofa more circular form, and afford the means of more firmly tying the whole together. The top is crowned by a square abacus, and the reeds being thereby confined, the effect of any incumbent weight upon them would be to produce the form.” A column similar to the above, but in a more forward state of development, is to be seen at the British Museum; it consists of double the number of reeds, placed together in the same manner, with similar base and abacus. But besides the ditference as to number, there is in this example another variation in the method of joining shaft and base, the reeds in this case being turned under so as to meet the base in a curve, a form frequently adapted in more elaborate specimens. The next change seems to have been the introduction of horizontal bands, which became requisite, as the reeds increased in number, to hold them firmly together; in some cases we find several bands, of one, two, or more reeds. The 'next step was to leave one or more of the spaces between the bands plain, and the next to cover it with hieroglyphics, till at last we find all the divisions of this description, as at Ten- tyris- The progress of the capital would seem to have been of a like nature; at first we find them composed of the same materials as the shaft, with only a band to mark the sepa- ration, and a flat square abacus at the top. The capital is, however, of a somewhat different contour, bulging out towards the lower end or ligature. In the second example we have adduced, the same form is preserved, but the capital and abacus, as well as the shaft, are covered with hieroglyphics. The next alteration would be similar to what took place in the case of the shaft ; the capitals were divided horizontally into bands, as at Latopolis, and these again ornamented With hieroglyphics as at Kournou. The bell-and-vase-shaped capitals are of an entirely differ- ent description, and cannot be said to have been a develop- ment of the above ; they must have arisen from an entirely new adaptation of natural forms ; while the above consists of mere reeds, the new form was an imitation of foliage and flowers belonging to that climate—the palm, the lotus, and the papyrus. The outline as well as the decoration of this kind of capital, deserves the highest praise for its taste, combining as it does the admirable properties of severity and grace, and will bear comparison with the best examples of classic design, not excepting the Corinthian, to which it bears a very remarkable resemblance, so much so as to give us reason to believe that the Romans were indebted to Egypt for the origin of their most admired order. Some specimens bear a slight resemblance to the Ionic; we may allude to that at Latopolis, but this is not so obvious, although we certainly have the‘upper part of the Ionic capital with its volutes repeated as a minor decoration. The square capitals, again, with a representation of the head of Isis or other deity on its four sides, form a third class, which seems to have had its origin in symbolism, or at any rate in the mysteries of religion; it supposition which is in some measure confirmed by the usual accompani- ment of a temple. There are some columns to be seen in Egypt of a very different description to any we have noticed, and to which Mr. Barry has called attention in a note appended to Mr. Gwilt’s edition of Chambers; they bear a. marked resemblance to the Grecian Doric, and are considered of earlier date than any existing specimen of that order. One illustration represents a portico oftwo fluted columns in antis, the flutes of which are shallow, and twenty in number, and the capital consists of an abacus only; the height of the column is about 5% diameters. Another striking example is found at Ka- laptchie, on the borders of the Nile, in which, says Mr. Barry, “ The abacus is square, and 11 inches thick; the shaft, which has a trifling diminution, is 7 feet 8 inches high, and 3 feet 2 inches diameter. The circumference is in 2-1 divisions, whereof 4, which are at right angles to each other, are flat faces covered with hieroglyphics, and the other intervening ones are sunk into flat elliptical flutes finch deep.” Another example is to be seen at Amada in Nubia, but here we have two different kinds adjoining each other, which throw some light upon the origin and purport of such columns. In this case the columns are but square piers with a slight projection at top and bottom, for abacus and base, not very difi‘erent from those already described, as , placed behind the Caryatid figures at Ipsambal; the pier at EGY 357 EGY the angle, however, presents a somewhat different appearance, for while the abacus and base remain as before, the shaft is both circular and fluted, the rounding of the angles seeming to have been effected as a matter of convenience, and the fluting as of ornament. We have already alluded to the not unfrequent occurrence of polygonal shafts, and we cannot help thinking that these, as well as the fluted examples just now described, find a common origin in the square pier, of which they are all improvements. We are inclined to coin- cide with Mr. Barry in the following remarks:—“ The general resemblance of the fluted columns to those of the Grecian Doric order, is manifest, and, in addition to many other remarkable indications in the Egyptian temple, clearly points to Egypt as the source of both Greek and Roman architecture.” See DORIC ORDER, COLUMN. Having now laid before the reader a general description of the elementary parts and details of Egyptian architecture, as well as of the usual form and distribution of their temples, it is our intention to give some more particular account of the more noted erections, and, in following out this scheme, we cannot do better than give the accounts of the various authorities in their own words. The principal remains are to be found in Upper Egypt, in the cities lying on both sides of the Nile, but the spot in which they are most numerous and imposing is in the neigh- bourhood of Thebes. The following is a list of the larger temples :— Temple of Jupiter, at Karnac; of Jupiter Ammon; of Apollo, at Apollinopolis Magna ; of Osiris, at Tentyra ; of Venus ; of Thebais, at Knubis. Temples at Luxor, Dendera, Edfou, Esneh, or Latopolis, Hermopolis, Ombos, Syene, Queron, Ipsambul ; Caryatic temple, at Rhamesseion, and various temples in the islands of Philae and Elephantina. In addition to which, we have the tombs and pyramids, the labyrinth, and various monuments, obelisks, and other isolated works. We have already stated, that the grandest monuments are to be found at Thebes, and, of such, those of Karnac and Luxor take the pre—eminence ; they form two separate erec- tions, but are connected together by a long avenue of sphinxes, as hereafter mentioned. We select these two as subjects for the first description, the authorities being Denon and Wilkinson. For a general description of the temple at Karnac, we shall refer to the French traveller, M. Denon, who, writing at the latter end of the last century, (l798-9,) says :— “ It is the sumptuousness alone of the Egyptians which is to be seen at Karnac, where not only quarries, but moun- tains, are piled together, and hewn out into massive propor- tions, the traits of which are as feebly executed, as the parts are clumsily connected; and these masses are loaded with uncouth has—reliefs and tasteless hieroglyphics, by which the art of sculpture is disgraced. The only objects there which are sublime, both with regard to their dimensions and the skill which their workmanship displays, are the obelisks, and a few of the ornameiits of the outer gates, the style of which is admirably chaste. If in the other parts of this edifice the Egyptians appear to us to be giants, in these latter produc- tions they are geniuses. I am accordingly persuaded that these sublime embellishments were posteriorly added to the colossal monuments of Karnac. It must, however, be granted, that the plan of the temple is noble and grand. . . . To the known descriptions of this great edifice of Karnac should be added, that it was but a temple, and could be nothing else. All that exists at present, in a somewhat entire state, relates to a very small sanctuary, and had been disposed in this way to inspire a due degree of veneration, and to become 4 r a kind of tabernacle. On beholding the vast extent of these ruins the imagination is wearied with the idea of describing them. Of the 100 columns of the portico alone of this temple, the smallest are 7% feet in diameter, and the largest 12. The space occupied by its circumvallation contains lakes and mountains. In short, to be enabled to form a competent idea of so much magnificence, it is necessary that the reader should fancy what is before him to be a dream, as he who views the objects themselves rubs his eyes to know whether he is awake. With respect to the present state of this edi- fice, it is, however, necessary, at the same time, to observe, that a great part of the effect is lost by its very degraded state. The sphinxes have been wantonly mutilated, with a few exceptions, which barbarism, wearied with destroying, has spared, and, on examining which, it is easy to distiné guish, that some of them had a woman’s head, others that of a lion, a ram, a bull, 8:0.” For the following more particular description of this temple, we are indebted to Sir I. G. Wilkinson. ~ : “ The principal entrance of the grand temple lies on the north-west side, or that facing the river. From a raised plat- form commences the avenue of Criosphinxes, leading to the front propyla, before which stood two granite statues of a Pharaoh. One of these towers retains a great part of its original height, but has lost its summit and cornice. In the upper part, their solid walls have been perforated through their whole breadth, for the purpose of fastening the timbers that secured the flag-staffs usually placed in front of these propyla ; but no sculptures have ever been added to either face, nor was the surface yet levelled to receive them. Passing through the pylon of these towers, you arrived at a large open court, 275 feet by 329, with a covered corridor on either side, and a double line of columns down the centre. Other propyla terminate this area with a small vestibule before the pylon, and form the front of the grand hall, 170 feet by 329, supported by a central avenue of 12 massive columns, 66 feet high (without the pedestal and abacus), and 12 in diameter ; besides 122 of smaller, or rather less gigantic, dimensions, 41 feet 9 inches in height, and 27 feet 6 inches in circumference, distributed in seven lines on either side of the former. Other propyla close the inner extremity of this hall, beyond which are two obelisks, one still standing on its original site, the other having been thrown down and broken by human violence. A small propylon succeeds to this court, of which it forms the inner side ; the next con- tains two obelisks of larger dimensions, being 92 feet high and 8 square, surrounded by a peristyle, if I may be allowed the expression, of Osiride figures. Passing between two dilapidated propyla, you enter another smaller area, orna- mented in a similar manner, and succeeded by a vestibule, in front of the granite gateway of the pyramidal towers, which form the facade of the court of the sanctuary. This last is also of red granite, divided into two apartments, and surrounded by numerous chambers of small dimensions, varying from 29 feet by 16, to 16 feet by 8. A few polygonal columns, of the early date of Osirtesen I., the contemporary of Joseph, appear behind these in the midst of fallen architraves of the same era, and two pedestals of red granite crossing the line of direction in the centre of the open space to the south- east, are the only objects worthy of notice, until you reach the column or edifice of the third Thothmes. The exterior wall of this building is entirely destroyed, except on the north-east side, to it succeeds a circuit of thirty-two pillars, and within this square are twenty columns, disposed in two ‘- lines, parallel to the outer walls, and to the back and front row of pillars. Independent of the irregular position of the latter with regard to the columns of the centre, an unusual EGY 358 EGY eaprice has changed the established order of the architectural details, and capitals and cornices are reversed, without adding to the beauty or increasing the strength of the building. A series of smaller halls and chambers terminates the extremity of the temple, one of which is remarkable as containing the names of the early predecessors of Thothmes III., their founder. In the western lateral adytum are the vestiges of a colossal hawk seated on a raised pedestal ; the sculptures within and without containing the name of Alexander, by whose order this was repaired and sculptured. “ The total dimensions of this part of the temple behind the inner propyla of the grand hall, are 600 feet, by about half that in breadth, making the total length, from the front propyla to the extremity of the wall of circuit, inclusive, 1,180 feet. The additions made at different periods, by which the distant portions of this extensive mass of buildings were united, will be more readily understood from an examination of the survey itself than from any description, however detailed, I could otfer to the reader; and from this it will appear that Diodorus is fullyjustified in the following statement: that ‘the circuit of the most ancient of the four temples at Thebes measured thirteen stadia,’ or about one mile and two-thirds English ; the thickness of the walls, ‘of 25 feet,’ owing to the great variety in their dimensions, is too vague to be noticed ; but the altitude of the building, to which he allows only 45 cubits, falls far short of the real height of the grand hall, which, from the pavement to the summit of the roof, inclusive, is not less than 80 feet.” The next description of Luxor is from the same writer :— “ Luqsor, which occupies part of the site of ancient Diospolis, still holds the rank of a market-town, the residence of a Kashef, and head-quarters of a troop of Turkish cavalry. Its name signifies the Palaces, and some might perhaps feel inclined to trace in that of El Qasryn, or El quorayn, (the dual of the word Qasr,) by which it is sometimes desig- nated, the existence ofthe two distinct parts of this building, erected by Amunoph III. and Remeses II. The former monarch, who, at the time of its foundation, appears to have reigned conjointly with his brother, built the original sanc- tuary and circumjacent chambers, with the addition of the large colonnade and the pylon before it, to which Remeses II. afterwards added the‘ great court, the pyramidal towers, or propyla, and the obelisks and statues. “ These, though last in the order of antiquity, necessarily form the present commencement of the temple, which, like many others belonging to different epochs, is not ‘ two sepa- rate edifices,’ but one and the same building. A dromos, connecting it with Karnak, extended in front of the two beautiful obelisks of red granite, whose four sides are covered with a profusion of hieroglyphics, no less admirable for the style of their execution, than for the depth to which they are engraved, which in many instances exceeds two inches. “Two sitting statues of the same Remeses are placed behind these, one on either side of the pylon ; but, like the obelisks, are much buried in the earth and sand accumulated around them. Near the north-west extremity of the propyla, another similar colossus rears its head amidst the houses of the village, which also conceal a great portion of the interesting battle- scenes on the front of these towers. At the doorway itself is the name of Sabaco, and on the abacus of the columns beyond, that of Ptolemy Philopater, both added at a later epoch. “ The area, whose dimensions are about 190 feet by 170, is surrounded by a peristyle, consisting ot'two rows of columns, now almost concealed by the hovels and mosk of the village. The line of direction no longer continues the same behind this court, the Remessean front having been turned to the eastward, in order to facilitate its connexion with the great ! temple of Karnak, rather than to avoid the vicinity of the ‘ river, as might at first be supposed. “ Passing through the pylon of Amunoph you arrive at the great colonnade, where the names of this Pharaoh and his brother are sculptured. The latter, however, has been efi'aced, probably by order of the surviving monarch, as is generally the case wherever it is met with, and those of the immediate successor of Amunoph III. and of Osirei are intro- duced in its stead. “ The length of the colonnade to the next court is about 170 feet, but its original breadth is still uncertain, nor can it be } ascertained without considerable excavation. To this suc- ceeds an area of 155 feet by 167 surrounded by a peristyle of 1 12 columns in length and the same in breadth, terminating in a covered portico of 32 columns, 57 feet by 111. “ Behind this is a space occupying the whole breadth of the building, divided into chambers of different dimensions, ‘ the centre one leading to a hall supported by 4 columns, ' immediately before the entrance to the isolated sanctuary. . “ On the east of this hall is a chamber containing some curi- ‘ ous sculpture, representing the accouchement of queen Maut- m-shoi, the mother of Amunoph and his brother; the two children nursed by the deity of the Nile, and presented to ‘ Amun, the presiding divinity of Thebes ; and several other subjects relating to their education and subsequent history. “ The sanctuary, which had been destroyed by the Persians, was rebuilt by Alexander (the son of Alexander, Ptolemy ‘ being governor of Egypt,) and bears his name in the following dedicatory formula : ‘ “ ‘ This additional work made he, the king of men, lord of the regions, Alexander, for his father Amunre, president of Tape (Thebes ;) he erected to him the sanctuary, a grand , mansion, with repairs of sand-stone, hewn, good, and hard ‘ stone, instead of his majesty, the king of men, Amu— ‘ noph.’ Behind the sanctuary are two other sets of apart- ments, the larger ones supported by columns, and ornamented . with rich sculpture, much of which appears to have been ‘ gilded. “ Behind the temple is a stone quay, of the late era of the Ptolemies or Caesars, since blocks bearing the sculpture of; the former have been used in its construction. Opposite the . corner of the temple, it takes a more easterly direction, and points out the original course of the river, which continued across the plain now lying between it and the ruins of Kar- . nak, and which may be traced by the descent of the surface of i that ground it gradually deserted. The southern extremity of this quay is of brick, and indicates in like manner the former direction of the stream, which now, having formed a recess behind it, threatens to sweep away the whole of its solid masonry, and to undermine the foundations of the temple itself. “ The road to Karnak lies through fields of halfeh indicating the site of ancient ruins, and here and there, on approaching that magnificent building, the direction of the avenue, and the fragments of its sphinxes, are traced in the bed of a small canal, or watercourse, which the ‘Nile, during the inunda- tion, appropriates to its rising stream. To this succeeds another dromos of Criosphinxes, and a majestic pylon of Ptolemy Euergetes, with his queen and sister Berenice, who in one instance present an offering to their predecessors and parents, Philadelphus and Arsiuoe. In one of the compart- ments within the doorway, the king is represented in a Greek costume, of which there are some other instances in Ptolemaic ruins. Another avenue of sphinxes extends to the propyla of the isolated temple behind this gateway, which was founded by Remeses 1V., and continued by Remeses VIII., EGY- and a late Pharaoh, who added the hypzethral area and the propyla. His name, and the exact era at which he flourished, are not precisely ascertained; but if, as is very probable, we are authorized to read Bocchoris, this part will date in the time of the twenty-fourth dynasty, or about 810 13.0. Other names appear in different parts of the building, among which are those of Amyrteus and Alexander on the inner and outer gateways of the area.” . Having made this digression in favour of Karnac and Luxor, we will now continue our descriptions, taking our examples in geographical order, commencing at the northern extremity of Upper Egypt, and travelling southwards. The first remains of which we have any notice are those of Hermopolis Magna, but they are little better than mounds of ruins, the portico described by Denon having been demolished. This portico was of great merit, and consisted of twelve columns in two rows of six each, surmounted with cornice and entablature. The next place we arrive at is Dendera, the ancient Tentyris, which contains ruins of several temples. The following account is given by Wilkinson. “ The name of Tentyris, or Tentyra, (in Coptic Tentoré, or Nikentore,) seems to have originated in that of the goddess Athor or Aphrodite, who was particularly worshipped there ; and that the principal temple was dedicated to that goddess, we learn from the hieroglyphics, as well as from a Greek inscription of the time of Tiberius, in whose reign its magnificent portico was added to the original building. Egyptian sculpture had long been on the decline before the erection of this temple ; and the Egyptian antiquary looks with little satisfaction on the graceless style of the figures, and the crowded profu- sion of ill-adjusted hieroglyphics, that cover the walls of Ptolemaic and Roman monuments ; but architecture still retained the grandeur of an earlier period : and though the capitals of the columns were frequently overcharged with ornament, the general effect of the porticos erected under the Ptolemies and Caesars, is grand and imposing, and frequently not destitute of elegance and taste. The same remarks apply to the temple of Dendera; and from its superior state of' preservation, it deserves a distinguished rank among the most interesting monuments of Egypt. For though its columns, considered singly, may be said to have a heavy, and perhaps ‘ a grotesque, appearance, the portico is doubtless a noble specimen of architecture ; nor is the succeeding hall devoid of beauty and symmetry of proportion. On the ceiling of the pronaos, or portico, is the Zodiac, which has led to much learned controversy, and which has at length, through the assistance of the Greek inscription, and the hieroglyphical names of the Cwsars that cover its exterior and interior walls, being confined to the more modest and probable antiquity of eighteen hundred years. “ The details of the cornice offer a very satisfactory specimen of the use of triglyphic ornament, which is common in many of the oldest Pharaohnic temples, though arranged in a somewhat different manner, and without so remarkable a metope as in the present instance. “ On the frieze, or rather architrave, is a procession to Athor, and among the figures that compose it are two playing the harp, and another with the tambourine. The inscription is on the projecting summit of the c/‘rnice, and commences with the name of the emperor Tiberius. Those of Aulus Avillius Flaccus, the military governor or prefect, and Aulus Fulmius Crispus, commander of the forces, though purposely erased, are still traced when the sun strikes obliquely on the surface of the stone; but the date of the emperor’s reign is unfortunately lost. “ The small ,planisphere which was in one of the lateral 359 EGY chambers on the right-hand side of the temple, and behind the pronaos, has been removed to France, and from its position it probably dated a few years before the Zodiac. Numerous are the names of Caesars in this temple. In the portico may be distinguished those of Tiberius, Caligula, Claudius, and Nero, and on the former front of the temple, now the back of the pronaos, are those of Augustus and Caligula. This was in fact the original extent of the build- ing, and it was previous to the addition of the portico that it was seen by Strabo. “ The oldest names are of Ptolemy Caesarion, or Neo- caesar, and Cleopatra, who are represented on the back wall of the exterior ; and it is probable that the whole naos was the work of the Ptolemies, though the sculptures remained unfinished till the reign of Tiberius, who, having erected the portico, added many of the hieroglyphics on the exterior walls. “ The portico is supported by twenty-four columns, and is open at the front, above the screens that unite its six columns ; and in each of the side-walls is a small doorway. “ To this succeeds a hall of six columns, with three rooms on either side ; then a central chamber, communicating on one side with two small rooms, and on the other with a staircase. This is followed by another similar chamber (with two rooms on the west, and one on the east side) immediately before the isolated sanctuary, which has a passage leading round it, and communicating with three rooms on either side. The total length of this temple is 93 paces (or about 220 feet,) by 41, or, across the portico, 50. “In front of the temple was the dromos, extending for the ‘distance of 110 paces to an isolated pylon, bearing the names of Domitian and Trajan. The attributes of Athor through- out this building very much resemble those of Isis ; and she is in like manner represented nursing the young child Harpo- crates, who is said, in the hieroglyphics, to be the ‘son of Athor.’ “ ‘ Behind the temple of Venus,’ says Strabo, ‘is the chapel of Isis :’ and this observation agrees remarkably well with the size and position of the small temple of that goddess ; as it consists merely of one central and two lateral adyta, and a transverse chamber or corridor in front, and stands immediately behind the south-west angle of that of Athor. To it belonged the pylon that lies 170 paces to the eastward, and which, as we learn from a Greek inscription on either face of its cornice, was dedicated to Isis, in the thirty- first year of Caesar (Augustus) ; Publius Octavius being military governor or prefect, and Marcus Claudius Posthumus, commander of the forces. In the hieroglyphics, besides the name of Augustus, are those of Claudius and Nero. “ Ninety paces to the north of the great temple of Athor is another building, consisting of two outer passage-chambers, with two small rooms on either side of the outermost one, and a central and two lateral adyta, the whole surrounded, except the front, by a peristyle of twenty-two columns. The capitals, ornamented or disfigured by the representations of a Typhonian monster, haveled to the supposition that this temple was dedicated to the evil genius; but as the whole of its sculptures refer to the birth of Harpocrates, it is evident that it appertains to the great temple of Athor, who is here styled his mother ; and it may be said rather to be dedicated to Harpocrates than to Typhon, who is only introduced in a subordinate character, as relating to the young deity. The names are of Trajan, Adrian, and Antoninus Pius. “ Around these buildings extends a spacious enclosure ot crude brick, about 240 paces square, having two entrances, one at the pylon of Isis, the other at that before the great temple. EGY 360 EGY. “ About 230 paces in front of the pylon of Athor is an isolated hypaethral building consisting of fourteen columns, united by intercolumnar screens, with a doorway at either end; and a short distance to the south is the appearance of an ancient reservoir. A little to the north-east of it are other remains of masonry ; but the rest of the extensive mounds of Tentyris present merely the ruins of crude brick houses, many of which are of Arab date. “ Eve hundred paces east of the pylon of Isis is another crude brick enclosure, with an entrance of stone similar to the other pylons, bearing the name of Antoninus Pius. Over the face of the gateway is a singular. representation of the sun, with its sacred emblem the hawk, supported by Isis and Nephthys. This enclosure is about 155 paces by 265, and at the south-east corner is a well of stagnant water. “ The town stood between this and the enclosure of the temples, and extended on either side, as well as within the circuit of the latter; but on the north-west side appear to be the vestiges of tombs. “ Between the town and the edge of the sandy plain to the south, is a low channel, which may once have been a canal; and it: is not improbable that it was to this that the Tentyrites owed their insular situation mentioned by Pliny.” We next arrive at Kous, the site of the ancient Apollino- polis Parva, but the only distinguishable remains of the temple there consist of a large gate; proceeding therefore southward, we arrive at Thebes, the temples of which we have already described. On the opposite side of the river, however, we have several buildings worthy of note, of which the first is that of Qorneh, or Kurnu, of which Wilkinson speaks thus ;— “ To commence with the ruins nearest the river :—the first object worthy of notice is the small temple and palace at old Qorneh, dedicated to Amun, the Theban Jupiter, by Osirei, and completed by his son Remeses IL, the supposed Sesostris of the Greeks. Its plan, though it evinces the usual symmetrophobia of Egyptian monuments, presents a marked deviation from the ordinary distribution of the parts which compose it. The entrance leads through a pyloné, or pylon, bearing, in addition to the name of the founder, that of Remeses III., beyond which is a dromos of 128 feet, whose mutilated sphinxes are scarcely traceable amidst the mounds and ruins of Arab hovels. A second pylon termi- nates this, and commences a second dromos of nearly similar length, extending to the colonnade or corridor in front of the temple, whose columns of one of the oldest Egyptian orders are crowned by an abacus, which appears to unite the stalks of waterplants that compose the shaft and capital. “ Of the intercolumniations of these ten columns. three only agree in breadth, and a similar discrepancy is observed in the doorways which form the three entrances to the building. The temple itself presents a central hall about fifty-seven feet in length, supported by six columns, having on either side three small chambers, one of which leads to a lateral hall, and the opposite one to a passage and open court on the east side. Upon the upper end of the hall open five other chambers, the centre one of which leads to a large room supported by four square pillars, beyond which was the sanctuary itself; but the dilapidated state of the north end of this temple affords but little to enable us to form an accu- rate restoration of the innermost chambers. The lateral hall on the West, which belonged to the palace of the king, is supported by two columns, and leads to three other rooms, behind which are the vestiges of other apartments; and on the east side, besides a large hypaethral court, were several similar chambers extending also to the northern extremity of its precincts.” . for the Soul. The next building that attracts our notice is the Memno- nium, and tomb of Osmandyas, of which ancient authors have given us such wonderful accounts; we give that of Diodorus Siculus :— “ Ten stadia from the tombs of the kings of Thebes,” says this historian, “ one admires that of Osimondué. The entrance to it is formed by a vestibule built with various-coloured stones. It is 200 feet long and 68 in elevation. On coming thence one enters under a square peristyle, each side of which is 400 feet long. Animals formed of blocks of granite 24 feet high, serve as columns to it, and support the ceiling, which is composed of squares of marble of 27 feet every way. Stars of gold, upon an azure ground, shine there the Whole length of it. Beyond this peristyle opens another entry, followed by a vestibule built like the former, but ‘ more loaded with all sorts of sculpture. Before it are three statues formed of single stones, and hewn by Memnon Syenite. The principal one, which represents the king, is seated. It is the largest in Egypt ; one of his feet, accurately measured, exceeds seven cubits. The two others, borne on his knees, one on the right, the other on the left, are those of his mother and his daughter. The whole work is less remark- able for its enormous size, than for the beauty of the execu- tion and the choice of the granite, which in so extensive a surface has neither spot or blemish. The colossus has this inscription :——-‘I am Osimondué, the King of Kings ; 97‘ any one wishes to know how great I am, and where I repose, let him destroy some of these works.’ Besides this, we see another statue of his mother, cut out of a single block of granite, and 30 feet high. Three queens are sculptured on the head, to show that she was daughter, wife, and mother, of a king. “ At the end of this portico, one enters into a peristyle more beautiful than the former. On a stone is engraved the history of the war of Osimondué against the revolted . inhabitants of Bactria. The facade of the front wall shows this prince attacking ramparts, at the foot of which runs a river. He combats advanced troops, having by his side a terrible lion, which defends him with ardour. The wall on the right presents captives in chains, their hands and private parts cut off, in order to stigmatize their cowardice. On the wall to the left, different symbolical figures, very well sculptured, recall the triumphs and the sacrifices of Osimondué on his return from this war. In the middle of the peristyle, at the place where it is exposed, an altar was prepared, com- posed of a single stone of marvellous size, and of exquisite workmanship. In short, against the bottom wall, two colossuses, each of them of one block of marble, and 40 feet high, are seated on their pedestals. One comes out of this admirable peristyle by three gates; one of them between two statues, the two others are on the sides; they lead to an edifice 200 feet long, the roof of which is supported by 8 columns. It resembles a magnificent theatre; several figures in wood represent a senate employed ' distributing justice. On one of the walls one observes 36) senators, and in the midst of them the president of justice, having at his feet a collection of books, and the figure of Truth with her eyes shut, suspended at his neck. One passed thence into a square surrounded by palaces of different forms, where were seen carved on the table all sorts of dishes which could flatter the taste. In one of them, Osimondué, clad in a magnificent dress, was offering to the gods the gold and silver he drew yearly from the mines of Egypt. Below was written the value of this revenue, which amounted to 32 millions of silver minas. Another palace contained the sacred library. at the entrance of which, one read these words: Remedies A third contained all the divinities of Egypt, . EGY 361 EGY with the king', who offered to each of them the suitable presents; calling Osiris, and the princes his predecessors, to witness that he had exercised piety towards the gods and justice towards men. By the side of the library, in one of the most beautiful buildings of the place, were to be seen twenty tables surrounded by their beds, on which reposed the statues of Jupiter, Juno, and Osimondué. His body is thought to be deposited in this place. Several adjoining buildings preserved the representations of all the sacred animals of Egypt. From these apartments one mounted to the king’s tomb, on the top of which was placed a crown of gold, a cubit wide, and 365 round. Each cubit answered to one day of the year, and the rising and setting of the stars for that day was engraven on each of them, with such astrological observations as the superstition of the Egyptians attached to them. It is said that Cambyses carried off this circle when he ravaged Egypt. Such, according to historians, was the tomb of Osimondué, which surpassed all others, both by its extent, and by the labour of the able artists employed on it.” Upon this passage Savary remarks, “ I dare not take upon me to warrant all these facts, advanced by Diodorus Siculus on the authority of preceding writers; for in his time the principal part of these buildings no longer existed. I admit even that all these wonderful descriptions would pass for pure chimeras in any other country; but in this fruitful land, which seems to have been first honoured with the creative genius of the arts, they acquire a degree of proba- bility. Let us examine what remains to us of these monu- ments, and our eyes will compel us to believe in prodigy. Their ruins are in heaps, near to ZlIedinet Abou, in the space of half a league's circumference. The temple, the peristyles, the vestibules, present to the eye nothing but piles of ruins, amongst which rise up some pyramidal gates, whose solidity has preserved them from destruction; but the numerous colossuses described by Diodorus, are still subsisting, though mutilated. That which is nearest to these ruins, composed of yellow marble, is buried two-thirds of- its height in the earth. There is another in the same line, of black and white marble, the back of which is covered with hieroglyphics for 30 feet in length. In the space between them, trunks of columns and broken statues cover the ground, and mark the continuation of the vestibules. Farther on we distinguish two other colossal statues, totally disfigured. A hundred toises from them, the traveller is struck with astonishment at the sight of two colossuses, which, like rocks, are seated by the side of each other. Their pedestals are nearly equal, and formed of blocks of granite 30 feet long, and 18 feet wide. The smallest of these colossuses is also of a single block of marble; the other, which is the largest in Egypt, is formed of five courses of granite,‘ and broken in the middle ; it appears to have been the statue of Osimondué, for one sees two figures out in relievo, the length of his legs, and which are about one-thiifiof his height. These are the mother and the daughter o [is prince. The other colossus, which is of one stone, and which corresponds with the dimensions of Diodorus Siculus, represented also the mother of the king. To give you an idea of the gigantic stature of the great colossus, it is enough to tell you, that his foot alone is near 11 feet long, which answers exactly to the seven cubits of Diodorus. This statue, the half of which remains upon its base, and is what Strabo calls the statue of Memnon, uttered a sound at the rising of the sun. It possessed formerly great renown. Several writers have spoken of it with enthusiasm, regarding it as one of the seven wonders of the world. A multitude of Greek and Latin inscriptions, that are still legible, on the base and the legs of the colossus, 4 z testify that princes, generals, governors, and men of every condition, have heard this miraculous sound.” The following account of a portion of the above, which is given somewhat more in detail, is from Wilkinson. “Following the edge of the cultivated land, and about 180 yards to the west of this building, are two mutilated statues of Remeses IL, of black granite, with a few sub- structions to the north of them; and 770 yards farther to the west, lies, in the cultivated soil, at sandstone block of Remeses 111., presenting in high relief the figure of that king, between Osiris and Pthah ; 1,400 feet beyond this, in the same direction, is a crude brick enclosure, with large towers, which once contained within it a sandstone temple, dating probably from the reign of the third Thothmes, whose name is stamped on the bricks, and who appears to have been the contemporary of Moses. “Other fragments and remains of crude brick walls proclaim the existence of other ruins in its vicinity; and about 1,000 feet farther to the south-west, is the palace and temple of Remeses II., erroneously called the Memno- nium; a building which, for symmetry of architecture and elegance of sculpture, can vie with any other monument of Egyptian art. No traces are visible of the dromos, that probably existed before the pyramidal towers which form the facade of the first hypasthral area, a court whose breadth of 180 feet, exceeding the length by nearly 13 yards, is reduced to a more just proportion, by the introduction of a double avenue of columns on either side, extending from the towers to the north wall. In this area, on the right ofa flight of steps leading to the next court, was the stupendous Syenite statue of the king seated on a throne, in the usual attitude of these Egyptian figures, the hands resting on his knees, indicative of that tranquillity which he had returned to enjoy in Egypt, after the fatigues of victory. But the fury of an invader has levelled this monument of Egyptian grandeur, whose colossal fragments lie scattered around the pedestal, and its shivered throne evinces the force used for its demolition. “If it is a matter of surprise how the Egyptians could transport and erect a mass of such dimensions, the means employed for its ruin are scarcely less wonderful; nor should we hesitate to account for the shattered appearance of the lower part by attributing it to the explosive force of powder, had that composition been known at the period of its destruction. The throne and legs are completely destroyed, and reduced to comparatively small fragments, while the upper part, broken at the waist, is merely thrown back upon the ground, and lies in that position which was the conse- quence of its fall ; nor are there any marks of the wedge, or other instrument, which should have been employed for reducing those fragments to the state in which they now appear. The fissures seen across the head, and in the pedestal, are the work of a later period, when some of these blocks were cut for millstones by the Arabs, but its previous overthrow will probably be coeval with the Persian invasion. To say that this is the largest statue in Egypt, will convey no idea of the gigantic size or enormous weight of a mass, which, from an approximate caICulation, exceeded, when entire, nearly three times the solid content of the great obelisk of Karnak, and weighed about 887 tons, 5 hundred- weight, and a half. “No building in Thebes corresponds with the description given of the tomb of Osymandyas by Heeataaus. Diodorus, who quotes his work, gives the dimensions of the first or outer court, two plethra, or 181 feet 8 inches English, agreeing very nearly with the breadth, but not the length of that now before us; but the succeeding court, of four EGY 362 EGY pletlira, neither agrees with this, nor can agree with that of any other Egyptian edifice; since the plan of an Egyptian building invariably requires a diminution, by no increase of dimensions, from the entrance to the inner chambers; and while the body of the temple, behind the portico, retained one uniform breadth, the areas in front, and frequently the port'ico itself, exceeded the inner portion of it by their pro- jecting sides. The peristyle and ‘columns in the form of living beings,’ roofed colonnade, sitting statues, and triple entrance to a chamber supported by columns, agree well with the approach to the great hall of this temple. The largest statue in Egypt can scarcely be looked for but in the build- ing before us, yet «the sculptures to which he alludes, remind us rather of those of Medeenet Haboo ; nor is it impossible that either Hecataeus or Diodorus have united or confounded the details of these two edifices. “ The second area is about 140 feet by 170, having on the south and north sides a row of Osiride pillars, connected with each other by two lateral corridors of circular columns. Three flights of steps lead to the northern corridor behind the Osiride pillars, the centre one having on each side a black granite statue of Remeses IL, the base of whose throne is cut to fit the talus of the ascent. Behind these columns, and on either side of the central door, is a limestone pedestal, which, to judge from the space left in the sculptures, must have once supported the sitting figure of a lion, or perhaps a statue of the king. Three entrances thence open into the grand hall, each strengthened and beautified by a sculptured doorway of black granite, and between the two first columns of the central avenue, two pedestals supported (one on either side) two other statues of the king. Twelve massive columns form a double line along the centre of this hall, and eighteen of smaller dimensions, to the right and left, com- plete the total of the forty-eight which supported its solid roof, studded with stars on an azure ground. To the hall, which measures 100 feet by 133, succeeded three central and six lateral chambers, indicating, by a small flight of steps, the gradual ascent of the rock on which this edifice is constructed. Of nine, two only of the central apartments now remain, each supported by four columns, and each measured about 30 feet by 55; but the vestiges of their walls, and appearance of the rock, which has been levelled to form an area around the exterior of the building, point out their original extent. The sculptures, much more interest- ing than the architectural details, have suffered still more from the hand of the destroyer; and of the many Curi- ous battle-scenes which adorned its walls, four only now remain.” Still southward is the village of Medeenet Haboo, which contains the ruins of two temples, of which we have not space to give a particular account. The smaller one consists of an open area 125 feet by 80, the north side being formed of a row of eight columns, through which access is obtained to a transverse area, having two pyramidal towers at its extre- mity, and between them an entrance into an hypzethral court with similar towers. These lead into a court 60 feet long, with a colonnade on either side, and at its extremity an entrance into the sanctuary, which is surrounded by colon- nades and chambers. The larger edifice is approached through a dromos 265 feet in length, at the end of which are two propylaea leading into a large hypzethral court. At the further side of this court an entrance through pylons is given into a very fine peristyle court 123 feet by 133 feet, at the extremity of which is the portico. The large court contains specimens of Caryatid columns. We now arrive at a different class of buildings—the tombs or catacombs, which consist of subterranean apartments and passages excavated out of the rock, and extending over a vast tract of land in the neighbourhood of Thebes, near Kurnu. The two following descriptions are from the writer previously quoted ; the first relates to one of the tombs of the kings, which was first opened by Belzoni :— “ The tomb, which of all others stands pre-eminently con- spicuous, as well for the beauty of its sculpture as the state f of its preservation, is undoubtedly that discovered and opened ‘ by Belzoni. But the plan is far from being well regulated, and the deviation from one line of direction greatly injures its F general effect; nor does the rapid descent by a staircase of twenty-four feet in perpendicular depth, on a horizontal length of twenty-nine, convey so appropriate an idea of the ‘ entrance to the abode of death, as the gradual talus of other of these sepulchres. To this staircase succeeds a passage of eighteen feet and a half'by nine, including the imposts ; and, passing another door, a second staircase descends in horizontal length tWenty-five feet; beyond which two doorways, and a passage of twenty-nine feet, bring you to an oblong cham- ber twelve feet by fourteen, where a pit, filled up by Bel- zoni, once appeared to form the utmost limit of the tomb. Part of its inner wall was composed of blocks of hewn stone, closely cemented together, and covered with a smooth 5 coat of stucco, like the other walls of this excavated cata- ' comb, on which was painted a cmtinuation of those subjects that still adorn its remaining sides. “ Independent of the main object of this well, so admirably : calculated to mislead, or at least check, the search of the curi- ous and the spoiler, another advantage was thereby gained, in the preservation of the interior part of the tomb, which - was effectually guaranteed from the destructive inroad of the rain-water, whose torrent its depth completely intercepted; a fact which a storm, some years ago, by the havoc caused in the inner chambers, sadly demonstrated. “ The hollow sound of the wall above-mentioned, and a small aperture, betrayed the secret of its hidden chambers, l and a palm-tree, supplying the place of the more classic ram, forced, on the well - known principle of that engine, the intermediate barrier, whose breach displayed the splendour of the succeeding hall, at once astonishing and delighting its discoverer, whose labours were so gratefully repaid. “ Its four pillars, supporting a roof twenty-six feet square, are decorated, like the whole of the walls, with highly- : finished and well-preserved sculptures, which, from their vivid ' colours, appear but the work of yesterday; and near the centre of the inner wall, a few steps lead to a second hall of similar dimensions, supported by two pillars, but left in an unfinished state, the sculptors not having yet commenced the outline of the figures the draughtsmen had but just com- pleted. It is here that the first deviations from the general line of direction occur, which are still more remarkable in the staircase that descends at its southern corner. “ To this last succeed two passages, and a chamber seven- teen feet by fourteen, communicating by a door, nearlgin the centre of its inner wall, with the grand hall, which is twenty- seven feet square, and supported by six pillars. On either side is a small chamber opposite the angle of the first pillars, and _the upper end terminates in a vaulted saloon, nineteen feet by thirty, in whose centre stood an alabaster sarcophagus, the kenotaph of the deceased monarch, upon the immediate summit of an inclined plane, which, with a staircase on either side, descends into the heart of the argillaceous rock for a distance of a hundred and fifty feet. This, like the entrance of the tomb and the first hall, was closed and concealed by a wall of masonry, which, Coming even with the base of the sarcophagus, completely masked the staircase it covered and levelled with the floor. EGY 363 “ A small chamber and two niches are perforated in the ; north-west wall; at the upper end a step leads to an unfi- nished chamber, 17 feet by 43, supported by a row of four pillars ; and on .tliesouth-west are‘other niches and a room . about 25 feet square, ornamented with two pillars and a broad bench (hewn, like the rest of the tomb,in the rock) around three of its sides, four feet high, with four shallow recesses on each face, and surmounted by an elegant Egyptian cornice. It is difficult to account for the purport of it, unless its level summit served as a repository for the mummies of the inferior persons of the king’s household; but it is more probable that these were also deposited in pits. “ The total horizontal length of this catacomb is 320 feet, without the inclined descent below the sarcophagus, and its perpendicular depth 90, or, including that part, about a 180 feet, to the spot where it is closed by the fallen rock.” The second description is of tombs of more recent date, executed during the twenty-sixth dynasty in the seventh century before our era ; they are of great extent, and unusual uniformity. “ The smallest, which are thosebehind the palace of Remeses, commence with an outer court decorated by a. peristyle of pillars, and to this succeeds an arched entrance to the tomb itself, which consists of a long hall, supported by a double row of four pillars, and another of smaller dimensions beyond it, with four pillars in the centre. The largest of them, and indeed of all the sepulchres of Thebes, are those in the Assaseef, one of which far exceeds in extent any one of the tombs of the kings. Its outer court, or area, is 103 feet by 76, with a flight of steps descending to its centre from the entrance, which lies between two massive crude brick walls, once supporting an arched gateway. The inner door, cut like the rest of the tomb in the limestone rock, leads to a second court, 53 feet by 67, with a peristyle of pillars on either side, behind which are two closed corridors; that on the west containing a pit and one small square room, the opposite one having a similar chamber, which leads to a narrow passage, once closed in two places by masonry, and evidently used for a sepulchral purpose. “ Continuing through thelsecond area you arrive at a porch, whose arched summit, hollowed out of the rock, has the light form of a small segment of a circle, and from the surface of the inner wall are relieved the cornice and mouldings of an elegant doorway. “ This opens on the first hall, 53 feet by 37, once supported by a double line of four pillars, dividing the nave (if I may so call it) from the aisles, with half-pillars as usual attached to the end-walls. Another ornamented doorway leads to the second hall, 32 feet square, with two pillars in each row, disposed as in the former. Passing through another door, you arrive at a small chamber, 21 feet by 12, at whose end-wall is a niche, formed of a series of jambs, receding successively to its centre. Here terminates the first line of direction. A square room lies on the left (enter- ing), and on the right another succession of passages, or narrow apartments, leads to two flights of steps, immediately before which is another door on the right. Beyond these is another passage, and a room containing a pit 45 feet deep, which opens at about one-third of its depth on a lateral chamber. “ A third line of direction, at right angles with the former, turns to the right, and terminates in a room, at whose upper end is a squared pedestal. “ Returning through this range of passages, and re-ascending the two staircases, the door above alluded to presents itself on the left hand. You shortly arrive at a pit (opening on another set of rooms, beneath the level of the upper ground- EGY plan), and after passing it, a large square, surrounded by long passages, arrests the attention of the curious visitor. At each angle is the figure of one of the eight following goddesses :—Neith, Sate, Isis, Nephthys, Netpe, Justice, Selk, and Athor, who, standing with outspread arms, preside over and protect the sacred inclosure, to which they front, and are attached. “A gentleman, an author, whose reading is far more respectable than his judgment, has not failed to discover something extraordinary in the position of these figures, referring, as hesupposes, to the crucifix, adopted by the Christians. “ Eleven niches,in six of which are small figures of different deities, occur at intervals on the side-walls, and the summit is crowned by a frieze of hieroglyphics. Three chambers lie behind this square, and the passage which goes round it, descends on that side, and rejoins, by an ascending talus on the next, the level of the front. A short distance further terminates this part of the tomb, but the above-mentioned pit communicates with a subterranean passage opening on a vaulted chamber, from whose upper extremity another pit leads, downwards, to a second, and ultimately through the ceiling of the last, upwards, to a third apartment, comingr immediately below the centre of the square above noticed. This has one central niche, and seven on either side, the whole loaded with hieroglyphical sculptures, which cover the walls in every part of this extensive tomb. “ But to give an idea of its length, and consequently of the profusion of its ornamental details, I shall briefly state the total extent of each series of the passages both in the upper and under part of the excavation. From the entrance of the outer area to the first deviation from the original right line, is 320 feet. The total of the next range of passages to the chamber of the great pit, is 177 feet. right angles to this last, is 60 feet; that passing over the second pit, is 125 ; and adding to these three of the sides of the isolated square, the total is 862 feet, independent of the lateral chambers. “ The area of the actual excavation is 22,217 square feet, and with the chambers of the pits 23,809, though, from the nature of its plan, the ground it occupies is nearly one acre and a quarter, an immoderate space for the sepulchre of one individual, even allowing that the members of his family shared a portion of its extent.” At Hermontis, a short distance south of Thebes, are the ruins ofa small temple, consisting of a colonnaded court with portico and sanctuary, and some distance beyond this, more extensive remains at Esneh, or Latopolis, but the only portion uncovered is a portico of considerable pretensions. Passing by several monuments more or less remarkable, we arrive at Edfou, or Apollinopolis Magna, the temple of which has already been described; and beyond this at Ombos, where are ruins of two temples, one of which is remarkable for having a double entrance, and two sanctuaries side by side. In our way to the islands of Philoe and Elephantina, we would stop for a moment at Syene to notice the quarries of granite from which a great portion of the stone for building was supplied, previous to the working of the quarries near Phil'oe. The islands of Phil'oe and Elephantiua are rich in remains, but more especially the former, which we accordingly select for illus- tration. Denon says:— “As soon as I could set foot in the island (Phillie) I began first by going over all the inner part, to take a general survey of the various monuments, and to form a kind oftopographical chart, containing the island, the course of the river, and the adjacent characteristic scenery. I found a convincing proof that this group of monuments had been constructed at different The third passage, at g fl .n.r'V|)>-v-- r . EGY ‘ 364 ELE periods by several nations, and had belonged to different forms of religious worship; and the union of these various edifices, each of them in itself regular, and crowded together in this narrow spot, formed an irregular group of most picturesque and magnificent objects. I could here d18- tinguish eight sanctuaries or separate temples, of different dimensions, built at various times, and the limits of each had been respected in the construction of the succeeding ones, which had impaired the regularity of the whole. A part of the additions to the original buildings had been made with a view of connecting the old to the new, avoiding with great dexterity false angles and general irregularities. This kind of confusion of the architectural lines which appear like errors in the plan, produce in the elevation a picturesque effect, which geometrical rectitude cannot give; it multiplies objects, forms elegant groups, and offers to the eye more richness than cold symmetry can ever command. I was here able to convince myself of the truth of a remark which I had before made at Thebes and Tentyra, which is, that the mode of building with the ancient Egyptians, was first to erect large masses, on which they afterwards bestowed the labour of ages in the particulars of the decora- tion, beginning their work with shaping the architectural lines, proceeding next to the sculpture of the hieroglyphics, and concluding with the stucco and the painting. All these distinct periods of work are very obvious here, where nothing is finished but what belongs to the highest antiquity; where, as a part of the subordinate buildings which served to connect the various monuments, had been left in many particulars without finish, without sculpture, and even incomplete in the building. The great and magnificent oblong monument exhibits these different periods of workmanship; it would be difficult to assign any use to this edifice, if the presence of certain monuments representing offerings, had not pointed it out to be a temple. It has, however, the form neither of a portico, nor of a temple; the columns which compose its outer circumference, and which are engaged in the wall only half their height, support nothing but an entablature, and a cornice without roof or platform; it only opened by two opposite doors, without lintels, which made a straight passage through, in a longitudinal direction. As it was doubtless built in the later period of the Egyptian power, it shows the perfection of art in the highest purity; the capitals are admirable in beauty and execution ; the volutes and the foliage are gracefully waved, like the finest Greek architec— ture, and are symmetrically diversified like those of Apolli- nopolis, that is to say, differing from the contiguous capitals, and similar to the corresponding ones, and all are exactly kept within the same parallel.” This group of buildings is 800 feet long and 420 feet broad, and it is almost entirely covered with the most stately monuments of different ages. The front is a rampart wall, to serve as a protection against the rising waters of the Nile. The entrance to the temple was approached by a magnificent double range of columns around a court 250 feet long, behind which were rooms for the priests. The pyramidal moles are each 47 feet long, 27 feet thick, and 75 feet high; two rows of gigantic hieroglyphics adorn them, representing five of their grand divinities ; there are likewise other figures of priests, &c.; on each side of the door (which is 26 feet high) is an obelisk 18 feet high, and a sphinx 7 feet long. Behind is a court 80 feet long, and 45 feet wide, also flanked by galleries of columns. 011 the right, behind the columns, is a suite of cells 10 feet deep, and on the left a private dwell- ing, composed of a portico at each end, and of three rooms of various dimensions, communicating one with another, and opening to the porticos ; this is the only building that Deuon ever saw of the kind. Two other moles serve as the portal to the most beautiful and regular part of the edifice ; this is a species of portico, decorated by 10 columns and 8 pilasters , 4 feet in diameter, as magnificent as they are elegant; the columns and walls are covered with sculptures, the ceilings are either painted in astronomical tables, or with white stars on an azure ground. Beyond this again was the secret part of the temple, 60 feet by 30, divided into four rooms, one leading to the others; in these remote chambers it is sup- posed that the sacred birds and reptiles were kept. “Besides this vast enclosure, in which these numerous temples were connected and grouped together by dwellings for the priests, there were two temples standing apart; the larger of the two I have already spoken of, the smaller is one of the most beautiful that can be conceived, in perfect preser- vation, and so small, that it almost gives one the desire of carrying it away. I found within it some remains of a domestic scene, which seemed to be that of Joseph and Mary, and suggested to me the subject of the flight into Egypt in astyle of the utmost truth and interest.” We have now described several of the principal monu- ments belonging to this style of architecture, from which may be formed a very fair idea of the Egyptian method of arrang- ing and adorning their temples. We have not touched upon the pyramids, although the-subject can scarcely be said to be completed without some description of them ; we have, how- ever, already extended this article to a somewhat inconvenient length, and would rather defer their consideration to a later period, than treat them here in a summary and insufficient manner. the sphinxes, and such like. “'e refer the reader, therefore, to the articles under the heads PYRAMID and SPHINX. The subject we have been treating of is one of very con- siderable interest, and, although not of direct practical utility to the architect, is yet well worthy his careful consideration. EGYPTIAN-HALL, or BANQUETING-ROOMS. See (Eons. EGYPTIAN PYRAMIDS. See Prrumns. EIDOGRAPH, an instrument for copying designs, invented by Professor ll'allace of Edinburgh. The eidograph is an improvement on the pentagraph in common use, is much more correct, and can be used for purposes to which the latter cannot be applied. EIDOLON, a likeness, image, or representation. ELBOlVS OF A ll'lXDOW, the two flanks of panelled work, one under each shutter, generally tongued or rebated into the back, so that the two elbows and the back form a lining round the three sides of the recess. ELEOTHESION, the anointing-room, belonging to the palestrae. called by the Romans unctuarium. See PALI-zsrlua. ELEVATION, an. orthographical projection, made on a plane perpendicular to the horizon. In architecture, as buildings are constructed with vertical faces or fronts, the plane of delineation is generally chosen parallel to a side, in order that the measure in every direction may be readily obtained. \Vhat is generally called a section, partakes as much of a geometrical projection or elevation, as a section. By the elevations and plans, all the measures of an original object may be ascertained, whether the lines or arrises represented be horizontal, vertical, or inclined. In ortho- graphical projections, all straight lines perpendicular to the plane of delineation are projected into points, and all straight lines parallel to the plane of delineation, are projected into straight lines of equal lengths, and are alike situated with regard to the plane of delineation, as the straight arris in the original object is with regard to the naked face of the wall. Therefore, whatever lines are perpendicular to the elevation, The same reasoning applies to the description of 1 ELL 1 4 -— l.hey will be represented by points, and whatever arrises _are parallel to the elevation, they will be represented by lines parallel to the original. See DESIGN. ELIZABETHAN ARCHITECTURE. ARCHITECTURE. ELLIPSIS, or ELLIPSE, in geometry, a conic section formed by cutting a cone entirely through the curved surface, neither parallel to the base, nor making a. subcon- trary section; so that the ellipsis, like the circle, is a curve that returns into itself, and completely encloses a space. See the definitions under the word CONE. One of the principal and most useful properties of the ellipsis is, that the rectangle under the two segments of a diameter is as the square of the ordinate. In the circle, the same ratio obtains, but the rectangle under the two segments of the diameter becomes equal to the square of the ordinate : Problem l.-—The two axes of an ellipsis being given to describe the curve. Method l.—Figure 1. Let A C be the greater axis, B G the ‘esser, cutting each other in the centre H ; and if with the adius A H, or H C, from the point B, an are E F be described, it will cut A C, at E and F, the foci ; fix two pins at E and F; take a thread equal in length to A C, and fix one end of it to, E, and the other to F ; then keeping a pencil at the point D, move such point forward in the same direction, so that the parts D E and E F may continue to be stretched during the motion, until the describent D come to the point whence it began to move. flIethod II.—Figare 2. Find the foci E and F, as before ; between E and F, take any point, 1 ; with the radii A 1, l C, and the centres E and F, describe arcs cutting each other at G, as also at H ; then G and H are points in the curve; in the same manner, with the same radii, from the centres F and E, find the intersections I and K. In like manner, if any other point, 2, be taken between E and F ; four other points, L, M, N, 0, will be obtained, and thus as many more as will be requisite for drawing the curve by hand. For by the construction of the ellipsis, E D + DF (Figure l) isequaltOEC + CF, = EF+2FC; also ED+DF : See TUDOR 365 ELL FA+AE =EF+2AE; therefore EF+ 2FC:EF+ 2 A E : consequently AE is equal to F C ; hence E D + D F = EF + 2A E = E F + 2FC : that is, the sum ofthe two lines drawn from the foci, to any point in the curve, is equal to the transverse axis. [Method III.—Figure 3. To describe an ellipsis with the ellipsograph, or trammel, as it is called by workmen, the axes A B and C D being given in position, bisecting each other in the centre E.—In any piece of material, contained" between any two parallel planes, out two grooves, at right angles to each other, in one of the planes; then provide a rod with three pins, or points, so that at least two may be moveable, and in a straight line with the third : let H F G be the rod, with the points F and G moveable ; making H G equal to the greater semi-axis ; then placing the grooves over the axes, and putting the points F and G in the two grooves, move the point H round, keeping the point F upon the greater axis A B, and the point G upon the lesser axis C D, until the describent H come to the point where the motion commenced ; and the figure so described, will be an ellipsis. The trammel, used by artificers, consists of two rulers, with a groove in each, so fixed that both grooves may be in the same plane, and at right angles to each other, and that the opposite sides of the cross may be in a plane parallel to those of the grooves. The rod above, is a bar with two moveable cursors, the fixed end is made to hold a pencil, and each of the other two an iron point, made to fill the groove, but capable of sliding freely. ZlIethod IV.—Figure 4. Given one of the axis, A B, and an ordinate, C D, to describe the ellipsis.-——Bisect A B at I for the centre ; through I draw E F, parallel to C D ; with the distance IA, or I B, from the point D, describe an are, cutting IF at G : draw the straight line D G H, cutting I A at H ; then if H D c. be conceived to be an inflexible line or red, the points H, G, D. remaining at the same distance in respect to each other ; and if the point H be moved in the axis AB, and the point G in the axis EF, while the describent D, is carried round the centre, I, until A come to the point whence it began to move; a curve D B E A F, will be described, which will be at. ellipsis. Demonstration—Figure 5. LF,OI‘BK :FG,orDB :LC,orAB :CD; Therefore, BK2 : DB“ :. AB“ :CD‘~‘; BK’ : BK’—-DB’ :: AB2 :AB‘l—CD’. ButBK’ —- DB2 : BK + DD x BK— BD:DH x DK, and CD’:CL*—DL’=AB’—LD2. Consequently, BK2 : DH x DK : : AB2 :DLwhichisamost principal property of the ellipsis but the demonstration which accompanies the following method, is quite general, for every two diameters. flIethod V.—Figure 6. A diameter, K H, and an ordinate, DL, qf' an ellipsis being given, to describe the curve by a con- tinued motion.—Bisect K H at I, and through I, draw A I A, parallel to D L; draw D E C, and K B, at right angles to A A . from L, with the distance K B, describe an are, cutting IA at F ; draw I F C; through the points C and I, draw M N; then if the point C be moved in MN, and the point F in A A, the ‘ point L will describe the curve of an ellipsis. Demonstration. For the triangles LF G, and LCD are similar.. LF : F G : : L C : CD; ButbecauseFL : BK, FG _—.. DE, and LC : AI, KB : DE : : AI : CD; Again, by similar triangles, I K B, and I D E . . K B : D E : : K I : D I; Therefore, by equality of ratios . . . K I : D I . : A I : C D; By duplication . . . . . . . KI2 : D12 : : A12 : CD2; By division . . K1”:K1“—-DI" - A1a : Ala—CD7. ButK1’—DI2 .: (KI + D1)x(K1—DI): DH X DK; andCD’:LC’—LD’:A1’—LD. ’ Therefore by substituting D H x D K, for K 1’ — D 1’, and A 1’ — L Di, for C- D2 ; In the last analogy we have . . . . . KI“ : D H X DK :: A12 '. Ln”, a well-known property of the ellipsis. 5A ELL 366 ELL The method for describing an ellipsis, having two conju- gate diameters given, may be found in the Marquis de l’Hospital’s Treatise of COnic Sections, translated by Stone. But the author of the Architectural Dictionary has chosen to give the description and demonstration from a diameter and double ordinate, instead of two conjugate diameters, as being more readily applied in perspective. It is strange, that this useful method has been neglected by all English writers that have fallen in our way. This property was dis- covered by the author, and demonstrated by him, many years before he met with the above work, in endeavouring to find out methods for describing the perspective representation by continued motion. Method VI.——Figure 7. No. 1. Let AB be the greater axis, bisected in C, by the lesser semi-axis C D ,. take two rulers, C E and E F, of equal length, equal to the sum of the semi-axes C D and C B, moveable upon each other at E, and the end C of the rule C E, moveable upon the centre of the ellipsis. Make the part F G of the, ruler, F E, equal to the semi-axis C D; now suppose C E and E F to coincide with each other, and with the axis CD; then move the point F from C, in the direction 0 B, until the describent G arrive at B : the point G will then have traced the quadrant D B of the ellipsis. The other quadrants will be described in the same manner, by reversing and inverting the rulers. Figure 8.—An0ther variation of this: Let A B be the greater, and CD the lesser semi-axis, as before; take the straight line H 1, equal to the greater semi-axis, AC or C B ; from 1H cut off I K, equal to the lesser semi-axis, C D, and divide HK into two equal parts at I; then place the joint rule C E F in the following manner, viz., make C E and E F each equal to H L, or L K; the part C E being moveable round the centre, 0, of the ellipsis, and the two rules CE and E G being moveable round'E ; now let C E and E G coincide with CD, and the point F to coincide with C, and consequently G with D ; then move the point F towards A, keeping it in the semi-axis CA; and when CE and EF come in the same straight line, the point G will have described the quadrant of an ellipsis; the lesser axis (see Figures 7 and 8) is equal 2 x FG, and the greater = 2 X CE + 2 X EG. Demonstration—Figure 7, No. 2. Draw GI parallel to C F, cutting C E at I, and draw E L perpendicular to C F, meet— ing C B at L; produce 0 E to H, and make C H = c B; join H G, and produce it to K. Now, by the general demonstration, accompanying the article CYLINDER, we have CB2 : CD2 : : AK X KB : KG2; but by the property of the circle K H2 = A K x K B; there- fore CB2 : CD2 :: K112 : KG”; consequently CB : CD :: K H : K G, a property of the ellipsis. But C E is the half sum of the two axes, and C I, or FG, equal to the lesser axis; then IE, or E G, is equal to the difference between the half sum of the two semi-axes, and the lesser semi-axis; therefore I E : half the difference between the two semi-axes, and I H = the whole difference ; consequently I E = E H. Then because IG is parallel to C F, we have E C : E r :: E 1 : EG ; but E C : E F ; therefore E 1 = E G ; and because E I = E H, E G is also equal to EH : then since the angle E P G is a right angle, the angles P E G and E G P, are together equal to a right angle ; but the angles E G 11 and G E P are alternate; therefore E GII : G E P ; add to each of these equal angles, the angle EGP, then will EGII + EGP = GEP + EGP equal to a right angle ; consequently 1G is parallel to C K, and the triangles C K 11 and 1 G11 are similar. Therefore on : 01:: RH :KG; but on = CH, and on = 01; CB: CD ::KH :KG, the above property of the ellipsis. Method VIL—Figure 9. Find the foci E and F, as in Methods I. and II. let the ends E and F of two rules F I and EK be moveable, the one round E, and the other round F, and let each be equal in length to AB, the greater axis, inter- secting each other at E ; let the ends I and K be connected by a bar, 1K, equal in length to E F, so as to be moveable round the points I and K ; then if the point I or K, be carried i round G, the whole instrument will be in motion, and the 3 point A will describe the curve of an ellipsis. Demonstration—Join E I ; then, because the triangles I K E ‘ and IFE have the two sides, IK and KE, equal to the two sides E F and F1, and the base I A common to both, the angles IK E and I F E are equal ; therefore the sides I H and H E are equal ; therefore I F : A B = E H + H F, which is a property of the ellipsis. Method VlII.—Another method will be found under the article CONE, by the equal divisions and intersections of straight lines. Method IX.—Figure 10. T 0 find any number of points in the curve.—- On the transverse axis, AB, describe a semi- . circle: take as many points in the circumference of the ‘ semi-circle, as may be necessary for constructing the elliptic curve ; draw straight lines perpendicularly to the axis cutting it, and let one of these lines, CD, pass through the centre; 1 let E F be any other perpendicular, cutting the axis in F, and let G G be the lesser semi-axis ; find the point H, so that F H ‘ may be a fourth proportional to C D, C G, F E, and the point H will be in the curve of the ellipsis required: in the same i manner, a point may be found in each of the other perpen- : diculars. The finding of points in the curve by this method being entirely in proportion, the whole may be very readily obtained, by making IK : CD, IL, equal to the lesser semi-axis of the ellipsis ; join KL; on IK make I l, em, In, 3 equal to the perpendiculars ; draw lo, mp, n 9, parallel ‘ to KL, cutting IL, at o,p, 9; then 10, 1p, 19, are the ordinates of the ellipsis, to be applied respectively upon the perpendiculars, from the greater axis. be described by means of the proportional compass, or the sector. JiIcthod X.—Figure 11. Let A B be the greater axis, C D the lesser semi-axis. On the diameter A B, describe the semi-circle A E B, and with the radius 0 D describe the semi- circle F D G; take any .number of points, h, 2', 8m. in the circumference A E B, and draw h C, iC, 8:0. cutting the semi- circle F D G, at h and l ; from the points [2, i, &c. draw lines h m, in, 8:0. perpendicularly to AB ; also from the points h, l, 860. draw lines h m, In, 850. parallel to A B; then the points 772, n, &c. are in the elliptic curve. \Vhen the points for half the curve are found, the corresponding points for the other half will be readily obtained, by producing the perpendiculars to the other side of C B, and making the ordinates on the one side equal to those on the other. Illethod XI.——Fig.ure 12. Any two conjugate diameters, A B and C D, being given, to describe an ellipsis through points found in any diameter, taken at pleasure—Through D draw PQ parallel to A B ; from D draw D F, perpendicular to P Q ; make D F equal to E A, or E B, upon F ; with the distance F D, describe the circle 52 Dh ; through the centre, E, draw the lines P E N, t E M, s E L. indefinitely cutting the tangent PQ, at P, t, S, Ste. ; join PF, tr‘, 8 F,&c.cutting the circle 72 Die, at the points n, m, l, &c.; also join EF, if necessary, and draw n N, m M, lL, &c.parallel to it, cutting the diameters N N,M M, L L, 8m. at N, M, L, 8:0. and these points will be in the curve of the ellipsis required: if the diameters are produced to the opposite sides, at N, M, L, &c. and the distances E N, E 11, E L, Sac. are made respectively equal to their opposite corres- ponding distances E N, E M, E L, &c. ; then the points N, M, L, This may very easily ' PLATE I. ELLIH’SI S 171:1] . 10. L if 1‘!""?’;‘71 1"]:17 . l4). Z‘H/ ”- 1' - 4 y { .1) . i ./ L , l E ”W ‘__7 [fl ‘ ‘ 1’1’2‘ ‘ x. A ( g / l ,/ , ‘: \ . ,I' ‘m 131.11. 1 0. , / 0 ,llll'l’ll In] 1' . IJI' 1) LII’T. ‘ \ N In: 'enfm’ (11' [:1]. E'LLIPS I S 3 [71:41.15. I .» \ j‘l‘uli. .:. * S *__&‘.Lh'i§wu 244,. u -‘ ELL 367 ELL, on the under side of the diameter A B, will also be in the curve ‘ This method may be very easily applied in perspective: by having the representation of a diameter of an original circle perpendicular, and that of another parallel to the picture, we have a diameter and double ordinate: the diameter of the ellipsis, or representation, is the diameter of the circle per- pendicular to the intersecting line of its plane ; thus it is only finding the conjugate diameter, and drawing as above. Figure l3.——— The axes A B and C D of an ellipsis being given, to describe its representation by means of circular arcs.— Draw BP parallel and equal to E C ; bisect it at l ; draw 1 C, and PD, cutting each other at K ; bisect KC, by a perpen- dicular meeting CD at 0; on 0, with the radius 0 C, describe the quadrant C G Q; through A and Q draw Q G, cutting the quadrant at G; draw G 0, cutting A B at M ; make E L equal to E M, and EN equal to E o; from 0, through M and L, draw 0G and 0 K; from 0, complete the arc G K; from N, with the same radius, equal to the distance N D, describe the opposite arc HI; from M with the radius MG, describe the arc G H, at the extremity of the longer axis; and lastly, from L, with the same radius, equal to L B, describe the opposite arc K I ; then A G C K BI D H A is the representation required, made to pass through eight points in the curve. Figure 14.—T0 find the representation of an ellipsis, by means of circular arcs, passing through twelve points in the curve ( a more accurate method than the former ) the axes A B and C D being given.-—Draw A 3 parallel to E C ; divide it into three equal parts; draw 20 and lo; divide AE also into three equal parts, and through the points 1, 2, dra'wr D Q and‘D P, cutting the former in Q and P. Bisect CP by a per- pendicular, meeting C D, produced at S ; and join P s, cutting AE at 2:; make EW equal to Ex, and EU equal to Es; draw P x s, o W s, xxu, and L W U. Bisect P Q by a perpen- dicular, meeting P s at F, and draw z F parallel to A B. With the radius FQ, describe the arc QZ, cutting F z at z ; join ZA, and produce it to meet the are at QZ, aty: join yF, cutting AB at V ; make XI equal to XF, also W H, and WG, equal to x F; make E T equal E v, and draw Iv R, H 'r M, and G TN; then, with the centre 5, and distance s C, describe the arc P0; with the centre U and distance UD, equal to the former, describe the opposite arc KL; with the centres I, F, G, H, describe the arcs K R, PQ, N o, and L M ; and, lastly, . with the centres v and 'r, describe the arcs QR and M N, at the extremity of the longer axis; and ACBD is the repre- sentation passing through the twelve points A, Q, P, C, 0, N, B, M, L, D, K, B, as required. This method differs so little from a true ellipsis, that it may be used in preference to any instrument for describing the curves of very large arches of bridges, and in finding the joints of the stones, as was the practice of the celebrated French engineer Perronet. ' Another method of describing an ellipsis, by means of an instrument, constructed upon the principle of the oval turning lathe—As we have never seen any investigation of this method, upon simple principles, the Author offers the following to the public, which has only been given in his .Mechanical Exercises. Definition—If there be any plane figure, and two inflex- ible straight lines at right angles to each other ; and if the plane be fixed to an axis at right angles thereto; and if the two inflexible lines he made to coincide with the plane, and be so moveable on its surface, that one of them, which we shall call the primary line, may always pass through two fixed points in the plane, and through the point where the plane is intersected by the axis; and if the other transverse line be made to pass or slide along a given point, which is not attached to the plane, but would remain stationary, even though the plane were in motion ; and if a secondary plane be fixed to the inflexible lines parallel to the primary plane; then if the axis be carried round while the point in the transverse line is at rest, the primary plane will ’also be carried round, and every point in it will describe the circum- ference of a circle: the secondary plane will likewise be carried round, and perform its revolutions in the same time as the primary plane and the axis, but being immoveably fixed to the rectangular lines, they will cause it to have both a progressive and retrogressive motion, in the direction of the primary line, in each revolution ; and, lastly, if another point at rest be held to the surface of the secondary plane while in motion, it will either describe an ellipsis, a circle, or a straight line. Hence the describing point will always be at the same distance from the centre, or point where the axis intersects the primary plane. The eccentricity of the ellipsis, or the difference of the axis, will be double the distance between the stationary point in the transverse line and the axis. Instead of the stationary point, a circle may be placed with its centre in this point, and its plane perpendicular to the axis, and instead of the inflexible line moving backward and forward upon two fixed points in the plane, the diametrically opposite parts of the circumference may always touch a pair of parallel lines on the revolving plane. Illustrations.——Figure 15. Let AB and E F, No. 1, 2, 3, 4, 5, 6, 7, 8, be the two inflexible lines, intersecting each other in I, at right angles, and let C D be the two fixed points. Let A B be denominated the primary line, and E F the secon- dary line, and let the lines A B and E F at right angles, taken as a whole, be called a transverse ; also, let C represent a pri- mary point, and let the describing point be taken at G, in the line drawn through CD produced; now, in all positions of the chuck, the primary line AB is always upon the point C, and E F upon D. Having premised this in general, suppose, before the machine begins to start, that E F, No. l, the secondary line, coincides with E G, and the point G with 0, 0 being in the plane of the figure to be described; then because A B always passes through C, the points I and C will be coincident, A B being then at right angles to E F. Let us now suppose the motion to commence, and let it perform an eighth part of a revolution, as at No. 2, the describing point G, still remaining in the same position with respect to C and D, viz,, in the right line C DG; then the point 0 will be at a distance from the point G, and a part, G o, of the curve will be described by the fixed point G, and the point I will be above the line C D G; now let the motion proceed, and describe another eighth, as at No. 3, then, the point 0 being always in the line E F produced, E F will be at right angles to the fixed line C D G, and A B coincident with C D G, and the point which was last at G, will now be at I. In like manner, when another eighth has been performed, as at No. 4, the point 0 has performed three-eighths of a revolution, the point 1 is in a line drawn from the point C, perpendicular to the fixed line CD G, and the point 2, which was at G, in No. 3, is situated between 1 and G. ‘ In this manner, by continuing the motion, the whole curve will be generated. No. 5 shows the curve, when half a revolution has been described; No. 6, five-eighths ; No. 7, six-eighths, or three-quarters ; and No. 8, seven-eighths. Here it may be proper to observe, that the angles per- formed by the revolution of the machine, are very different from the corresponding angles, formed by lines drawn from the centre of the ellipsis to the describing point, and to the extremity of the curve at its commencement. From what has been said, it is easy to conceive, that the ELL 368 ELL operation of elliptic turning is nothing more than that of the ellipsographtor~ common trammel, with this difference, that in the operation of turning, the ellipsis is described by moving the plane, and keeping the point steady, but in form- ing the curve by the ellipsograph, the plane of description is kept steady, while the point is in motion. The transverse A B E F is the same as the grooves in the trammel-cross, and the line C D G the trammel—rod ; here the cross and plane of description move round together, but fixed to each other, and the trammel-rod C D G is held still or immoveably confined ; in the trammel, the board and cross are fixed together, and held while the trammel-rod CDG moves with the points C and D in the grooves. To set this machine, therefore, it is only to make C D equal to the difference of the axes. Figure 16,—No. 1, 2, 3, and 4, show the relation between the foregoing diagrams and the chuck. Let K L M N be the face of a board representing the plane, which is fixed to the axis of the machine ; and let 0 P Q R be another board, made to slide in the board KLMN: each two points, 0 and K, L-and P, M and Q, N and R, coinciding at this moment, K L M N will therefore represent a wide groove in the board ; as this groove may be of any width, we may conceive the breadth to be very small, or nothing; it may therefore be represented by a groove, or by the line A B parallel to K N and L M, and in the middle of the distance between them. Instead of sup- posing the point D always moving backward and forward on the line E F, we may suppose a circle, or the end of a large cylindric pin, moving in a very wide groove, T U VW, across the slides OPQR. Now, all the differences between these diagrams and those in the former Plate, are only wide grooves in place of lines passing longitudinally through the middle: for the line A B is always conceived to move reci- procally from one side to the other of the board KLMN; and it is the same thing whether one straight line slide lon- gitudinally upon another fixed line, or whether a bar of any breadth move in a groove of the same breadth, or whether a straight line in reciprocal motion always pass through two fixed points. No. 1, shows the chuck, as in the first diagram of the last Plate: No. 2 as No. 2, No. 3 as No. 3, and No. 4 as No. 4, of the said Plate. Any farther explanation is conceived to be unnecessary. Problem 2.—An ellipsis, AB D C, being given, to find the transverse and conjugate axes. Draw any two parallel lines, AB and CD, cutting the ellipsis at the points A, B, c, D; bisect A B at e, and c D atf; draw G ef h, cutting the curve at G and H ; bisect G H at I, which gives the centre; from I, with any radius that will cut the curve, describe a circle, h In 772, and join 12 l and m n ,- bisect h l, or m n, at 0 or p, and draw Q o I p R, meeting the curve in Q and R : then Q R is the greater axis ; draw s T at right angles therewith, meeting the curve in s and T, and s T will be the lesser axis. Problem 3.—Ang diameter, A B, being given, and an ordi- nate C D, to find the conjugate diameter of the ellipsis. Draw 0 I perpendicular to A B ; bisect AB in F, and draw FH parallel to CD; on F, with the distance FA, or F8, describe the semi-circle A I B, cutting C I at I ; make A E equal to CI, and draw E G parallel and equal to CD; through G and A, draw AH, cutting F H at H, then F H is the semi-con- jugate diameter. This problem is useful in perspective, in the representation of the circle : fen-having the representation of a diameter of the circle perpendicular to the intersecting line, and the representation of a diameter of the circle parallel to it, the former representative diameter of the circle will be a diameter of the ellipsis, and the latter will be a double ordi- nate of the same; find the conjugate diameter by this pro- blem ; then, having thetwo conjugate diameters, the curve may be described as in Method XI ; or the axis may be found as in the next problem, and thence this curve described. Problem 4.-—Ang two conjugate diameters, A B and C D, being given, to find the axis. Through D draw E F parallel to A B, and DI perpendicular to E F ; make D I equal to M A, or M B; with the radius I D describe from I the arc 9D I, and join I M, which bisect by a perpendicular, meeting the tangent E F at N; with the distance N I describe from N a semi-circle, E I F ; join E M and FM, which produce to H and K; and join IgE and IlF; parallel to I M, draw IL and g G, cutting H E and K F at G and I. ; make M H equal to M G, and M K equal to M L ; then will G H and KL be the two axes required. In like manner, if G H had been a diameter, its conjugate would have been thus found: produce HG to E, and join EI; draw EV at right angles to El; then draw gG, and complete the rest as before. This problem may be readily applied in perspective ; for, by the last problem, two conjugate diameters will be found, and having the two diameters, the axes may be found by this, and the curve be described geometrically by an elliptic compass, or by traversing the curve with an ivory, paste- board, or strong paper slip. Problem 5.——An ellipsis and its foci F and G being given, to draw a tangent‘through a given point, H, in the curve. Join F H and G H, and produce the latter to I; bisect the angle I H by the straight line L H, and L H is a tangent to the curve. This problem is very useful in masonry, for finding the joints of elliptic arches. Thus, find a tangent in the curve, at the lower end of the joint, and from the point of contact, draw a line perpendicular to the tangent ; and the line thus drawn will be the joint. Problem 6.-— Two conjugate diameters, A B and C D, and the centre, H, being given, to draw two tangents to the ellipsis, from a given point, E, 'without the curve. First, let the point E be in D C, produced ; make H I equal to II C, and join IE ; through C draw C K, parallel to I E, cut- ting H A in K ; make H L equal to H K, and through I. draw F G parallel to A B ; find the extreme points F and G, by Problem 3, and draw E F and E G, which are the tangents required. But if the point E be in neither of the diameters, AB or CD, when produced, draw a line from the given point E, through the centre, so as to be terminated by the curve ; and the por- tion thus intersected will be a diameter; then find a conjugate to this diameter, as in Problem 4. This problem will be very useful in the perspective repre-- sentation of a cone, for drawing the contour of the sides with the utmost exactness ; the diameters being found by the pre- ceding problem. Problem 7.— To describe an ellipsis similar to a given one, A B C D, through a given point, P, having the same centre, and the axes in the same lines. If the two axes, A D and B C, are not given, find them as ' in Problem 4 ; and the point E, where they intersect, is the centre; through the given point P, draw FE, to meet the curve in F ; join A F and F B; parallel to F A draw P G cut— ting A E at G ; and parallel to F B draw P H, cutting E B at H ; then will E G be the greater semi-axis, and E H the lesser semi-axis. Problem 8.— Through the angular .points, A B c D, of a given rectangle, to circumscribe an ellipsis, which shall have its axes in the same ratio as the sides qf the rectangle. ) V 7 4:5; 7 V 1)]_()[) . 4 - 1144/1114 III. mo. ; . 1-4 fro/1 . ' 0 ,- J'I‘nll. (f _ 1:; fin/1. 7. (3 ;\ I Inn'ulml' If" I). A'Il'lm/u'nn . )1 ‘1}. ' \ \ 1» \ ‘ 5 L O [III’L’II (ml by Z’. 2V1 film/Jun ]) C H. PI‘I? /) . f) . _ ,,_ ‘ Q //’/r // /’ ,//// /“ =1"("5)=1_25=1“'64"36 Therefore 2 ) . 36 = d 2).18 — d .0 ~ <0 :7 :A H N“ .0 6010 .27 . 36 = d 162 81 4 ) .0972 4 ) .0243 .006075 = 14-— : n 3 . 018225 5 .091125 . 36 = d 546750 273375 6 ) . 03280500 6 ) .00546750 . 00091125 : B 5 6. . 00455625 7 . 03189375 . 36 = .47 19136250 9568125 8 ) .0114817500 8 ) . 00143521875 . 00017940234375 = c 7 . 00125581640625 9 . 01130234765625 . 36 = d 6781408593750 3390704296875 . 0040688451562500 5.7d 8. ELL 372 ELL 10 ) . 0040688451562500 10 ) . 0004068845156250 .—.— " — 7 . 9 d . 0000406884515623 = D -—10. 10 = E . 000366 1 9606-10625 1 l . 0040281567046875 . 36 0241689402281250 120844701140625 l2 ) .001450136413687500 l2 ) .000120844701140625 1d .1 .00001007039176171875 : 1171—2- : F . 00011077430937890625 l3 33232292813671875 11077430937890625 00144006602192578125 . 36 00864039613155468 750 432019806577734375 ' 4 ) . 0005184237678932812500 7 ) . 0001296059419733203125 7). 0000185151345676171875 11.13d . 0000026450192239453125 : Fm = G Therefore, these terms collected, are as follow: .09 .006075 ‘ .00091125 .00017940234375 .0000406884515625 .00001007039176171875 .0000026450192239453125 Therefore . 0972190562062981640625 : the sum of the negative terms, which therefore being taken from 1. . 0972190562062981640625 .9027809437937018359375 for the sum questions?» 11 II II II II II II leaves of the series. Therefore . 90278 0943 50 45.1390 47150 3.1416 270 8342 8290 4513904 715 18055 6188 60 4 5139 04715 135 41714145 141 .8088 3052 64400 = the ellipsis required. the periphery of 1 But as this rule would be much too laborious for practice, we must content ourselves with some easy method of approximation: It will be very serviceable, however, in comparing the results obtained by such approximations, in order to ascertain the degree of dependence that may be put on them. Let us therefore try the following Rule, for the periphery of the whole, the half, or the quadrant of the curve. RULE.—Multiply the square root of the half sum of the squares of the two axes by 3 .1416, and the product will be the circumference, nearly. Example—Let the greater axis be 50, and the lesser 40, as before : the entire periphery is required 50 50 2500 1600 2)4um 20 .50 ( 45 .27692, the root. 16 40 40 ——.1 1 600 —_ 85).450 425 902).25oo 1804 9047 ).69600 63329 90546 ).627100 543276 905529 ) .8382400 8149761 9055382 ) .23263900 18110764 .5153136 45 .2 7692 3 .1416 2716 6152 452 7 692 18110 7 68 4 5276 9 2 135.8307 6 142.2419 7 1872 The above, though agreeing only in the two first places of figures, is sufficiently near for most practical purposes in mea- suring; the difference in four places of figures is only four more than the truth. The investigation of this rule is as follows : Let t = the greater axis, and c = the lesser, t’ c’ l ;- 2 expresses the rule; then 1) < therefore 12 t (i— + £9125 = p t (-5- + 1__"2;il)ii = p t d é» d _1_2 _ d3 _ 5 d‘ (l *5) =Pt(l_§“‘_ 3.4 2‘.8 25.16 &c. = the periphery; but the true periphery : p t (1 _ .21? _ £24}: — 3%: &c. Now this series agrees with the former in the first and second terms, and differs in d2 . -. . the third'only 6—4; the rule is therefore an approxrmation. The rule now delivered is still too long for practical uses ; let us therefore try the following: ’ RULE.——Multiply the half sum of the two axes by 3.1416, and the product will be the periphery, nearly. Example.———T he same still as the preceding, viz., 50 and 40. 50 3.1416 40 45 2 )90 15 7080 __ 125 664 45 141.3720 the periphery. This rule is exceedingly easy, and sufficiently near for all . practical purposes, where the eccentricity of the ellipsis is not very great. It gives the periphery nearly as much below the truth as the preceding rule is above ; and, consequently, where great accuracy is required, if the result be found by both methods, the half sum will be exceedingly near. To show this by an example : The result by the first rule The result by the last rule 142.241971 141.3720 2 ) 283.613971 The half sum of both 141.806985 which is very near the truth, as it agrees in five places of figures with the result by the series. ELLIPSOGRAPH, an instrument usually constructed of brass, for describing a semi-ellipsis at one movement of the index. See ELLIPSIS, Problem 1, Jlfethod 3. ELLIPSOID, a solid, generated by revolving a semi- ellipsis round either of its axes. This solid is understood by some to be the same as spheroid. See SPHEROID. ELLIPTIC ARCH, a portion of the curve of an ellipsis, employed as an arch. This curve has some advantages over circular arcs, in bridge-building, as it leaves a greater space at the haunches for the passage of vessels, and, conse- quently, saves a considerable quantity of materials in the construction. ELLIPTIC Con'mssss. See ELLIPSOGRAPH. ELLIPTIC Comm, the same as ELLIPSOID. ELLIPTIC WINDING STAIRS, a winding stair, having an ellipsis for its plan. See Sums and WINDING STAIR. EMBANKMENT, a large body, mound, or bank of earth, constructed or thrown up in different ways, according to cir- 5c E M B 373 E M B t’ + c’ g 1 6’ § cumstances. Embankments are of various kinds, according, ‘ bl“ P < 2 > = Pt (5+ fin) to the purposes for which they are designed, as RAILWAY 2 EMBANKMENTS, which carry a line of' railway over valleys and since d = 1 __ fl and low ground at the elevation required for the level of the t‘ rails: CANAL EMBANKMENTS, for confining the water of a 02 1 _ '1 canal or reservoir, or upon which a canal or aqueduct is we have é-‘E‘ = —-2—— formed; and EMBANKMENTS constructed with the view of guarding, protecting, and defending lands on the borders of the sea, rivers, and lakes, from being inundated and injured by them, and for reclaiming lands from the sea. We shall treat first of the latter description of embank- ments. These are of different kinds and forms, according to the nature of the situations and the materials of which they are constituted. In embanking against the sea and large rivers, where the slopes next them are naturally gentle and easy, they are mostly of the earthy description, being well put together, and covered on the surface with turf cut from the tough sward of the land in the neighbourhood; but in cases where the banks, borders, and shores, are steep and bold, they are usually of a more hard and solid nature : as of stone, brick, gravel, sand, shells, and other similar substances. laid closely in some sort of tenacious material, such as clay or mortar, and other matters of the same quality. Timber is also frequently employed in their construction in a variety of forms. In works of this sort, very much depends upon the form in which they are constructed, and the nature and manage- ment of the materials made use of. In respect to the first, it may be remarked, that banks of these kinds are commonly constructed with too narrow bases for the heights which are given them; from which circumstance, the sides which, are opposed to the effects of the water become too steep and upright ; consequently, in cases of high tides or floods, they are utterly incapable of resisting their weight, which has equally a lateral and downright pressure. Besides this, there is another disadvantage attending this method of forming them, which is, that the floods, as well as the tides, in ebbing and flowing, have a more continued action on one part than would be the case, if the slopes were more gentle and gradual : consequently, they have a much greater tendency to break down and destroy the superficial parts of the banks. With some variations in the forms, most of the embankments in this country are, however, made in this way. They may succeed in some particular instances; but in general it is found, that breaches are frequently taking place in them, from the effects of the sea or floods, which are not capable of being filled up or repaired, without considerable difliculty and trouble; and which, if suffered to continue even for a short space of time, endanger the whole embankment. The common form of embankment is shown at Figure 1, and the improved form pointed out at Figure 2. The angles or slopes of these sorts of works are made very different in various cases ; but that shown in the above figure, seems in general well calculated for the purpose of resisting the impression of heavy tides, or the waters of floods. - The greater breadth they have in proportion to their height, the more effectual they must be in resisting the power of the waters which come upon them. In regulating the heights of embankments, it is necessary to ascertain the greatest depth of water at the highest tides or floods ; making the summits of them about two feet higher than the points to which they rise at such times. By some, a less height than this above the highest mark of the tides or floods V has, however, been considered sufficient; but it is always proper to be on the safe side, as the consequences of an over- flow are very serious. In forming embankments with stones, or other similar i EMB 374 EMB materials, which, as has been seen, is essential in bold steep banks or shores, it is necessary that they be laid in proper materials, and be closely jointed next the sea, or the rivers, , so as to be’fully capable of resisting the entrance of water. Great care is requisite in doing this, or the bank will not stand, for the water, insinuating itself between the openings,will sink down among the stones, softening and loosening the clayey or earthy matters underneath, by which, portions of them will be forced out and washed away. Hollows being formed in that way below, the stones naturally sink down; and the waters rushing into the cavities with considerable impetuosity, quickly displaces others, and the whole embankment is soon destroyed. This very frequently takes place with the heads thrown across rivers, and such paved 0r causewayed banks as are formed with the view of protecting and preserving bold and open shores. Such shores are especially liable to be undermined and carried away by the washing operation of the waters which come against them. In order to render the embankments perfectly secure in such cases, they should be laid with good mortar, and be pointed with a strong cement. A good coat of gravel, in some cases of this kind, is even found far superior to paving with stones. It sometimes happens that rivers near their mouths form shallow estuaries, and occupy much ground which might be usefully employed. In this case an entirely new outlet may sometimes be made, through which the river may at once discharge itself into the sea; and the whole course will probably be soon filled up by the deposition of soil and mud brought in by the tides; for it is the current which clears the channel, and when this is taken away the channel soon fills up. In the course of a short time the old mouth of the river will be so filled up as scarcely to admit the tide; and an embankment across it may lay a large fertile tract of land quite dry. In constructing embankments of the quay, or other similar kinds, a mortar formed from powdered unburnt lime—stone and coarse sharp sand is employed; the whole being pointed with puzzolana earth, by which they become as solid as rock, and fully resist the effects of water. The lime of particular sorts of lime-stone is found more proper for forming this sort of mortar-cement than that of others: thus, that found at Dorking, in Surrey, is supposed to constitute the most durable substance of this kind of any in the kingdom ; and has been employed in many works near London. And an excellent sort of lime-stone, for the same purpose, has like- wise been discovered near VVorsley, in Lancashire, which is there termed Sutton lime. An excellent cement for this use, which hardens under water, may be composed by having four parts of blue clay, six of the black oxide of manganese, and nine of carbonate of lime, submitted to a white heat, and then well incorporated with sixty parts of sand, and as much water as may be neces- sary, to form it into a mortar. See CONCRETE. It is invariably found, in examining the shores of the sea, and the banks of rivers, that such as have easy and gently declining slopes from their beds to their borders or banks, and those which are formed in a steep upright manner, of rocky materials, such as are shown at Figures 3 and 4, are the least exposed to injury from the effects of the waters: the two former being the most secure when spread over or coated with good coverings of sand or gravel, or uniformly turfed over quite down to the water-side with the sward of a tough old pasture. The strength and firmness of their banks are in proportion to the extent of the slope ; and their dura- bility depends on that of their being made uniform on their surfaces, both in respect to hardness and smoothness : as, in the former case, from the great length of slope, the flows and decreases of the waters act more momentarily on their dif- ferent parts, and their greater weight renders their banks more firm ; while, in the latter case, by the equality of their surfaces, the power of the water is rendered the same on one part as another, and no obstacles are left for the producing of eddies, or other means of forming holes or breaks in them. In the latter, or those of the bold, upright, rocky kind of banks, their strength chiefly depends on the resistance of the large quantity of materials by which they are backed, and not on the manner in which they are disposed, as in the former case ; and their durability, on that of the uniform compactness of texture in the parts opposed to the effects of the waters: as, where these have fissures in them, or are softer in some parts than others, the waters are liable to enter and break down the banks in time, according to the particular nature of the cases. It is, therefore, of importance that the modes and forms of embankment, which are thus naturally presented, should be improved upon by art. It is evident, that if a Cut were formed behind the embankment, as in Figure 5, at the letter a}, the shores or banks, though, in this case, as it were, detached from the land, would be found equally strong, and capable of resisting the pressure of the waters, as in their original state. Hence, if a mound or bank were formed, and placed out at the distance of one, two, or three miles from the shore or other embankment, within the bed of the sea or other waters, as at y in the same Figure, it would be equally capable of resisting them as in the former instance, and not more liable to be broken down by their pressure than in its former station; and would also defend them as completely from the intermediate space of land, as it did before from the narrow trench. of land may, in different parts of the kingdom, be obtained by judicious embankments. Though the shores of bold steep coasts may not afford examples equally capable of being followed with advantage as the above, they nevertheless suggest useful hints for the purpose of defence, in cases of bold, abrupt, broken shores, constituted of earth, or of that material and rocky substances intermixed. It readily presents itself to the mind, that the raising a good perpendicular stone wall against such banks, renders them nearly as strong and lasting as those formed by nature of steep solid rocky bodies. This sort of walled bank is exhibited at Figure 6; but though this method may be practised, in cases of the above kind, with great advantage, it is not by any means applicable in general to rivers; as, with them, the waters, during the periods of floods, stand in need of room to spread, which is the great use of giving their banks a sloping form ; while, in this way, it would have the effect of doing more injury than was the case before. The increased rapidity of the current caused by its being so con- fined, doing greater damage to the banks. Instances may, however, happen in which it may be had recourse to with pro- priety, in defending a part of the bank of a river, without : giving it a sloping direction, or for protecting one part of a bank at the risk of that which 1s opposite to it; but well- constructed piers, in such cases, are preferable, and attended with less expense to maintain. But instead of these, art may suggest one that may answer in some respects more perfectly; l as, in place of bringing together such a mass of earthy or other substances, as may be proper for constructing such banks as are shown at Figures 1 and 7, it may be more advan tageous to have one formed, such as is shown at Figure 8, the side of which, next the water, forms, with the base, an angle of about 45 degrees. This will be capable of bearing all the weight or pressure of water that can possibly be brought upon it, equally well with that of Figure 1, except Consequently, on this principle, vast tracts 5 EMB 375 EMB that the operation of the tides would break the superficial part of the side next the sea, unless prevented by coating it with some durable substance, such as paving stones, bricks, or other similar materials. Banks of various kinds, between this and the first natural kind, may be invented, differing only in the degree of incli- nation which they have towards the sea; that which slopes in the highest degree, as Figure 1, having the surface covered over with sand or gravel ; and that which has the least slope, as Figure 8, may be covered with pavement; the different intermediate slopes being protected by materials which have a quality between the two, such as coarse gravel, chalk-stones, brick, and sand. The embankment, shown in Figure 9, is wholly constructed of a sandy loam deposited upon a soil of the same quality ; but as it would not, for some time after being formed, belsufliciently impervious to water, a column of clay is carried upright in the middle, from the clayey substratum of the soil underneath, as is shown at as x, in the section. This is called Paddling. In cases where the shores are of a very sandy nature, embankments may be made wholly of a sort of Wicker-work. Thus three or four rows of paling are put down, of different heights, and the vacant spaces between them well filled, by forcing in furze, brush-wood, or even straw, as represented at Figure 10. These substances, by detaining the mud and sand, as the tide passes through them, or during high floods, soon forms a sort of embankment, such as that shown in the above representation. It should afterwards be covered with some plant, which is capable of binding and giving it solidity, such as the elgmus arenarius. An embankment, so con- structed, would continue, during extraordinary tides, to retain still larger quantities of the sandy materials, until, ultimately raised above the range of the highest floods, a safe bank would be formed. By banks formed in this way, large quan- tities of land might be gained in a very few years, in different parts of the rivers Severn, Humber, Frith, 8w. In all cases of embankment, however they may be formed, tunnels and sluices of a proper kind, with valves towards the sea or rivers, must be occasionally placed, according to cir- cumstances, so as to permit the water that may be collected within to pass away, and that of the sea or rivers, to flow up, with different intentions in the view of improving the land. The utility of projecting points .is very considerable, in different cases, on the sea-coasts and rivers, in defending the bays and inlets of the former, as well as guarding the banks of the latter, by diverting their streams or currents to the opposite sides. Hence arises the formation of piers, which become highly beneficial in defending embankments, as well as the borders of rivers and brooks. In the first of these cases, they may generally be constituted and coated over with the same sort of material as that of which the embankment is formed; while, in the latter, they should be formed of some sort of stony matter, being constructed in such a way as to decrease in every direction as they advance outwards, as represented in Figure 11. In each of these cases, they are, however, capable of being constituted of brush-wood, secured by means of stakes, often with more perfect success. And it frequently happens, that a simple rude wicker-work fence, of not more than three Or four yards in length, may be fully sufficient for the purpose. Embankments formed of stone, unless constructed in the manner represented at the above figure, are apt to cause eddies below them ; while those formed of brush-wood cannot have this effect. It it obvious, that considerable attention must be required in deciding the most proper situations for constructing this sort of projection in, and the distances to which they should extend into the rivers ; as a too extended projection may be _highly dangerous to the opposite bank, and of course do harm, instead of being beneficial; while not carrying them out sufficiently far may prevent the effect which is wanted. In cases where piers are to be formed of stone, as in rivers where the bottoms are of a rocky nature, the plan represented at Figure ll, is a good one, as it will scarcely cause any eddy, and be nearly similar to that of the wicker-work, in the etfect which it produces. Difl‘erent works of these several kinds have been constructed in the northern parts of the island with much success. Proper Materials for Embankments.——It will be obvious, that different sorts of materials may be made use of in different situations and kinds of works of this nature, with more advantage than others, both in so far as duration and expense are concerned. Those steep upright embankments, which are constructed with the view of protecting bold shores, or coasts, and the banks of particular rivers, may probably be best formed of good brick, rubble, or ashlar work, in the manner of a wall, as seen at Figure 6, in the Plate, the materials being laid in the strongest mortar that can be made. But where this is not the case, they may be built in the common way, and pointed with puzzolana earth, or what is termed the Roman cement, prepared by Messrs. Parker and Co., London. Concrete has been used most successfully and extensively for the purpose of embankments, as we have shown under that article. The different kinds of sloped embankments may be formed either with common earthy materials, clay, mud, or a mixture of these several different substances ; and any other matters which are capable of uniting into a solid, firm, compact mass, may be had recourse to for the same purpose. Where the sides next the sea or other waters form angles of from 20 to 30, or even 35 degrees with their bases, they may be coated with sand, the shells from the sea, or coarse gravel from the borders of the shores. And stones, broken down to uniform sizes of a few pounds in weight, may be employed in a similar manner. Where none of these substances can be procured in sufficient abundance, a method practised in Holland, of covering them with such perishable materials as mats, reeds, straw, bark, and others of the same nature, may be had recourse to; but these are obviously disadvan- tageous, as requiring very frequent renewal. They might likewise be protected by a low fence of brushwood, fixed in an erect manner all along at the bottom of the bank, of an equal height, as tending to break off the violence of the waves. Another method might also be employed, which is that of covering the whole front of the bank with brushwood, either made into bundles, or in the manner of wicker-work, or fixed down in a neat manner by means of long poles and strong hooked stakes. And farther, they may be laid in the form of a causeway, with stones in moss, or covered with wicker-work applied upon the mossy material when spread out over the bank. Many other modes also may be adopted under particular circumstances. In all cases where the sides and slopes towards the sea constitute angles of from 35 to 45 degrees with their bases, as in Figure 8, recourse may be had to stones of the flag kind, as coverings, which should be jointed with cement mortars formed in some of the ways we have mentioned above. And where these sorts of stones cannot be provided, if clay can be found, proper kinds of bricks may be made, and used in the same way as the stones. Where the slopes or inclined planes are from 40 to 45 degrees, it is frequently more cheap and economical to have them covered with stones of about six or eight pounds in weight, applied to the thickness of a foot and a half, or nearly two feet 5 or these may be used on EMB 376 EMB a’ bed of common moss of three inches, or of peat-moss of the flow kind, of six inches in thickness, spread upon the banks, only to the thickness of six or eight inches. Stones of these kinds may likewise be formed into a sort of causeway, or be laid in strong clay, and their surfaces jointed with lime or a strong cement mortar, which has the property of quickly hardening, and of enduring the Operation of the air and tides, which alternately act upon it. There may likewise be cases in which it may be the most advantageous practice to have the sides next the sea or rivers protected by coverings of wood only, in which case, larch may be the most proper, or such others as are durable, having their surfaces covered over with pitch and some sort of sharp sand. And old sail-cloth, or oil-cloth pitched and coated over with sand in the same manner, or even thin plates of metals, have been suggested as useful in particular instances. In a paper read before the Institution of Civil Engineers in May, 1841, the Hon. Mr. Stewart gave a-very interesting account of the application of peat to the purpose of building “sea walls.” The author described some embankments constructed with it on the estates of his brother the Earl of Galway, to reclaim various portions of land, to the amount of many hundred acres, and stated that it had been found to answer extremely well, for several reasons, the most prominent of which were, that the blocks of peat, when well rammed down, grew together, thus forming a complete “ puddle” wall; and that from its spongy nature it was not liable to crack in dry weather like clay, when any portion of it was in water, as moisture was in that case drawn up to all parts of it. ' It is evident that great quantities of land might in many situations be obtained from the sea and large rivers, by the forming of proper embankments. Some notion of this may indeed be formed by a careful examination of such lands as lie along their shores and banks, by ascertaining the distances to which the waters ebb out at common tides, as it is found by experience, that at least one-half of the extent of land, thus uncovered in any particular situation, may be gained; hence, throughout the whole kingdom, it could hardly be estimated at a less quantity than from two to three millions of acres, but it is probably much more than even the last quantity, if it were capable of being ascertained with any degree of accuracy or correctness. Importance of embankments.—When the extent and the value of the lands which are capable of being gained by these means are fully considered, there can be no doubt of their being of the greatest consequence to the interests of the country. It has been well remarked by a late Writer on this subject, that there are numerous places in the kingdom where vast improvements may be effected by the judicious applica- tion of these means. Vast tracts of land of the best kind may not only be gained from the sea, but likewise from the large rivers and lakes, besides the beneficial consequences which must necessarily arise from the prevention of such rivers from overflowing their banks, and injuring the level grounds in their vicinity by such inundations. In some cases, it is supposed, that by raising a bank of only three or four feet in height, at a very small expense, some thousands of acres might be prevented from being overflown, the crops from being carried, away, and much other mischief from being produced. In other instances, the forming of very trifling banks might be the means of obtaining much extent of country, which in its present state is of but very little value ; yet so indifferent are people in general about improve- ments of this description, that though immense tracts are year after year overflown, and the most dreadful devastations committed, they have recourse to no means of prevention ; nay, even though the sea itself, says the writer, as if’to rouse them from their inaction, presents to their view twice every twenty-four hours, large tracts that might by proper means be made of very great value, yet these repeated invitations are disregarded, and no attempts are made to possess what might, in many cases, be so easily and so advan- tageously acquired. It is certainly extraordinary and unaccountable that the acquiring of distant possessions should be eagerly sought after, and considered of so great importance to us as a nation, when the addition of land in our own country by the reclamation of it from the waters, must be in every point of view, so much more valuable. The acquisition of additional territory at home should, therefore, be more attended to, and have more expense bestowed upon it than has hitherto been the case. In par— ticular situations, indeed,a few active and enterprising persons have taken advantage of the opportunities which have been presented ; as in the counties of York, Lincoln, Cambridge, and others, many hundred thousands of acres have been gained by embankments. In Norfolk, too, a considerable extent of land has been gained in this way. In the neigh- bourhood of Chester, the River Dee Company have likewise gained several thousands of acres from the sea, which have since been divided into different beautiful farms, the whole of which pay in rent more than 2,000 pounds per annum. And in Holland the whole country has, in a great degree, been obtained by these means. It is stated by Mr. Beatson, in the second volume of Communications to the Board (f Agriculture, that large sums have been expended in some places by individuals with a view of guardng against inundations, but, owing to the embankments they have made being injudiciously placed, and as badly constructed, the desired effect has not always been produced, particularly in the northern parts of Cheshire, on the banks of the river Mersey, where works of this kind have been thrown up at a great expense, which, from the manner of their being placed, may, in some cases, by con- fining the course of the river, do more harm than good. By the appearance of that part of the country, so far as he could judge from the cursory view he had of it, it seemed to him that the inundations from that river might have been effec- tually prevented at a much easier rate, if a proper method had been taken at first; but from a certain ill-judged and mistaken tenaciousness of property, the embankments are constructed so close upon the sides of the river, that, in many places, it is confined to a space not more than 20 yards over. Owing to this, and to an aqueduct. across the river, with only one arch instead of two, which it ought at least to have had, the water sometimes, in great floods, rises, he was informed, to the height of about 20 feet above its ordinary level, and overflows the embankments, although now, by frequent addi- tions, they are about that height. Instead of 20 yards, had 11 these embankments been 80 or a 100 yards distant from each . other, and the river widened in the narrowest places, one- third or one-fourth of their present height would have been . quite sufficient. and less liable to damage by the floods ; a great deal of money : also would have been saved, not only in the first construction, . but in keeping the banks afterwards in repair. The space of ground between the embankments and the river thus left, ‘ would have produced the richest pasture, or meadow—hay, by its frequent manurings with the fertilizing particles left upon it, when flooded by the swelling of the river ; and in those places, if any, that are unfit for pasture or hay, willows or other aquatics might have been planted to great advantage; They would have been much easier made, 1' EMB 377 EMB and thus it might have been of more value perhaps than at present, while the interior grounds would have been more effectually secured from the ravages of sudden floods. Not- withstanding the. general indolence shown in most parts of the country, respecting the acquisition of land by embanking, and the seeming aversion that most people have to engage in such undertakings, there have been, however, some ingenious and enterprising projectors, whose ideas upon that subject have soared far beyond the bounds allotted to common understandings. From the speculations of such people, the most important advantages are sometimes produced; and surely the man who is possessed of a speculative turn of mind, and who considers no obstacles insurmountable, is a much more useful member of society than he who is perpe- tually starting difficulties against every new project, and is for having all things remaining in statu quo, that is, for leaving the world as he found it. The idea of reclaiming land from the sea, for example, would have appeared to a torpid genius of this kind, as a matter too, visionary for sober-minded men. A thousand difficulties would have started up at‘ such a proposal; and obstacles, which, to a more expanded mind, would seem per- fectly practicable to overcome, would have presented to him impediments insuperable. What would such anti-projectors think of proposals to exclude the sea. entirely from extensive bays, many miles across, and exposed to the full sweep of the winds and the waves ? Such was the proposition to carry a railway embankment across Morecambe Bay, and the estuary formed at the mouth of the Duddon, the embankments on Lough Foyle in Ireland, and other similar works. That there are many large tracts of land in different parts of the kingdom, both on the sea-coasts and on the sides of lakes and rivers, easily attainable, there cannot be the smallest doubt. It is, therefore, an object worthy of the attention of those who are so fortunate as to possess property of this nature, to have it ascertained by persons of experience in such matters, how far the acquisition of additional portions of land may be adequate to the expense which it may be neces- sary to incur in procuring it. But embankments are important in other views than those of gaining ground by them. When rivers are concerned, one material advantage is the deepening of their courses, by which vessels of greater burthen than they admitted formerly, may be permitted to navigate them. And farther, as embankments become more frequent on the borders of rivers and sea-shores, the intervening distances may become a sort of bays, in which accumulations of shells, mud, sand, gravel, and other matters, may take place by the influx of the tides ; and these, however diflicult they may be at first to embank, will in time be as easy to perform the work on, as the natural bays and creeks are at this period. In this way many rivers, which in their present state are eight or ten miles in width at their junction or influx with the sea, may in the course of years he reduced to less than half these distances. Consequently, such embankments would be equally beneficial to the proprietors of land, and the mer- chant or manufacturer, as many rivers would become more easily navigable, and those obstacles which interrupt their mouths be wholly removed. In embanking against the encroachments of the sea, it is necessary to ascertain, with great accuracy, the maximum height to which the water rises ; the methods of doing this have been already shown. But as new works of this sort, especially where the banks are large, are liable to subside too much, it may be a proper precaution to take the levels fre- quently for some time after they are completed, in order to guard against any mischief which might arise in this way. 5 D Where the banks are low, this is not, however, so necessary, as in higher ones, as the settling is always more or less according to their height ; in low banks it will of course be very little. In the making of such embankments, it is scarcely possible to lay down any general rule in regard to their size or dimensions, as these must be directed by situation and circum— stances, under the management of an expert engineer. In cases where the embankment to be formed is to exclude the sea from a piece of low marshy ground, over which it only flows at spring-tides, the work is easy, and capable of being accomplished at no great expense. But where it is intended to reclaim a portion of land which is covered every tide, in some bay or creek, or on the sides or windings of some large river in which the tide ebbs and flows, the business will be in some degree more difficult, according to the depth and rapi- dity of the current of the water. And where it is proposed to exclude the sea from some exposed situation at the mouth of a river, or in a bay, or inlet, which is uncovered every tide, the operation will be the most difficult and expensive of all, according as it is exposed to prevalent winds, and the depth of the water to be resisted. Each of these situations, therefore, requires a different method of management. The business of embanking against the sea, when at any considerable distance within high-water mark, is not only the most tedious, but at the same time the most difficult; as, when the materials are not very good and the work not well per- formed, the force of the water at every flowing of the tide will quickly undo all that has been effected, especially if the soil be of a sandy nature, as is often the casein such situations. If it be a strong clay, as is sometimes the casein marshy places, there will be the less risk of its being washed away. In sandy situations it has been advised by some to lay bun- dles of straw or reeds well fastened down, or any other impe- diment, to hinder the soil from being carried away by the ebbing tide. Where a sufficient supply of good strong turf cannot be had, other expedients may be tried : but where such turf can be provided, as is the case in most marshy situations, and where the embankment required is not to exceed the height of four or five feet, it is best to finish the slope with good turf as expeditiously as possible, as the work proceeds ; that is, supposing the length of 30, 40, or 50 feet or yards of it can be completed in a tide, it is better to finish that length to its intended height, than to trace out or begin a greater extent than can be finished before the tide returns, by which a great deal of the soil might be carried away, and much ot the work demolished, which is not so likely to be the case when the slope is finished. Turf which contains the roots of bent or rushes is very good for this use. In commencing a work of this kind, however, the first thing to be done is to strike out the intended line of it, setting out the breadth at the base, also the width of the excavation or trench to be made in the inside, from which most of the materials that compose the bank are to be taken : this trench serving also as a drain to keep the grounds within dry. There should also be trunks or sluices at different parts of it, to shut of themselves against any external water, and to open when the tide ebbs, to let out any water from within. The width of it should be proportioned to the quantity of materials required from it, for the raising of the embankment, as eight, ten, or fifteen feet wide, and three or four feet deep, leaving a berme, or space, between the edge of the trench and the inner bottom of the embankment. If the soil be strong, one foot or eighteen inches will be sufficient for this purpose; but if loose or sandy, three or four feet at least will be required. The more easy and gradual the external slope is made, the less sudden the resistance against the sea will be, as has been seen above, and of course the embankment be less liable to EMB 378 EMB injury; this slope should therefore be formed according to the exposure of it to the winds and tides : a contrary opinion has, however, been held by some engineers, and the formation of upright walls properly faced has by them been considered better adapted to resist the action of the water. Figure 12, is supposed to be a section of an embankment in which the base or horizontal line 9 It should at least be three times the perpendicular height h 2'; but lm, the inside slope, need not be more than three-fourths of the perpendicular height, that is, nine inches for every foot of rise. The inside slope should be faced with turf likewise, laid with the green side down- wards, as in common sod walls. Some expert sodders can finish this sort of work extremely neat by setting the sod on edge, according to the slope intended to be given, and with proper mallets and beetles ramming the earth hard behind, which consolidates the work as it advances, and tends to render it durable. As soon as the first or lower course is finished, the upper edge of the Sods is pared with a sharp knife quite even, by laying a rule to them, and then they go on with the second course, which they finish in the same manner, and thus proceed until the whole height is completed, which, when properly finished, has a smooth and beautiful appearance, not ajoint between the turfs being seen. Where turf is used in covering the outside slope, it should all be laid with the grass uppermost, as already noticed, and be well beaten down with a flat sod—beetle for the purpose, and in order the better to secure them, it may be proper to drive small stakes, about eighteen inches in length, through every sod. In cutting sods for this use, they should be taken up in a careful manner, and be all traced by a line of the same breadth ; their edges being cut as even as possible, that they may make the closer joints, which will tend very much to their security, until they are grown properly together. In laying the different courses of such sods, care should also be taken that the joints of the one be covered by the other, in the manner that good brickwork is made. Where it is proposed to reclaim a piece of land, upon which the sea ebbs and flows every tide, to a greater depth than in the foregoing case, as in a creek, or on the side of a large river, a different mode of proceeding must be pursued, according to the soil, and the nature of the materials to be employed. Where plenty of stones can be readily procured, a bank may be formed of them, with a mixture of clay, either by means of land-carriage, or, which in some instances is better, by conveying them in flat-bottomed boats, or punts, and throwing them over-board until the bank is formed. Where stones cannot be easily had, clay, or other materials proper for the business, may be thrown in, in sufficient quantity, in the same manner, with perhaps nearly equal success. It is supposed that most of the embankments in Holland were formed in this way, the clay dug from the canals being made use of for the purpose. In either case it is requisite to fix up strong poles before the work is begun, as guides for laying down the materials. Proper sluices must likewise be laid in suitable directions for taking off the back-water when the tide ebbs, under the inspection of the engineer. Much, in all cases of this sort, depends on a skilful engineer, who is capable of suggesting and contriving various means of facilitating the buisness, and of obviating the difficulties that may arise in its execution. A person of real genius is often capable, by his different contrivances, of rendering the accomplishment of a great undertaking com- paratively easy, which to others would be almost impracticable, or carried on at such a heavy expense as to counterbalance the advantages to be drawn from it. In cases of the kind just noticed, he might suggest the erection of stages or plat- forms, in such a manner as to carry on the work at all times of the tide, which would be an immense saving, as the delays caused by the tides in this sort of business are both tedious and expensive. Waggons might likewise be contrived in such a way as to carry on such platforms large quantities of materials at once, which could be easily emptied and filled ; and at the same time be drawn by machinery, in such a manner as to save much labour and expense, both in car- riage and tidework. There is another species of sea embankment, which is, perhaps, the most important of any; as there are few estuaries, or mouths of rivers, in which large tracts of land may not be gained by it. The shoals or flats formed at the entrance of such rivers, are mostly composed of the richest and most fertilizing particles, brought down from the towns and circumjacent country through which they pass. Such shoals and flats may, therefore, under proper management, be in most cases readily converted into the most fertile plains. In these situations the first object is that of collecting the whole river into one stream, and preventing its overspreading a wider extent than is merely sufficient for its discharge; or it may be better, perhaps, to alter its course altogether, and cause it to be discharged at some other outlet. It has been found by experience, that where the ‘course of a river is changed in such a manner as to make it discharge itself into , the sea at a different place to that where it did before, the ' former place will, in a feW years, by the continued accumula- tion of sand and mud brought in every tide, be so choaked up, and raised above its former level, as to form of itself, in the ’ course of time, abank, that, with a very little assistance, will ' exclude the sea; for as the current of the river before carried away all that sediment which the motion of the waves naturally stirred up, from its being now removed, it is ‘ obvious that all or most of the muddiness will not only be car- i ried farther up the old channel of the river, but a great part § of it be deposited there as the tide recedes. It has been found that in spring‘tides and particular winds, this sediment ‘ is deposited in larger quantities than at other times, and on ; making a perpendicular cut in the ground under reclamation, the different layers are found to be so distinct, that those made at spring-tides can be easily distinguished from the rest. This curious fact is well deserving of the attention of ‘ all those who have lands situated at the mouths of rivers, as there may in many such situations be considerable tracts 3 gained at a very light expense. But though this fact may . exist in some places, as has been proved by experience, : nevertheless it is supposed that the effect cannot be the same § in all situations. muddy shores, the motion of the waves will no doubt stir up \Vhere there is a great extent of flat or f the mud and sand, and carry great quantities of them along ‘ with the current. on the flowing of the tide; and when the tide j ebbs, though some of the lighter particles will be carried ‘ away again, yet it is reasonable to suppose the heavier ones 1 will be left behind. just near the entrance of the river, there will be less of this mud; but on such shores there can, indeed, be little or no occasion for embanking, unless perhaps in some creeks, narrow at the entrance and spreading out wide above. If the sea were excluded from such creeks, a great deal of land might probably be gained. If the shores are bold and rocky except i In the marshland district of the county of Norfolk, lying ‘ between the rivers W'yn and Case, immense tracts of the ' most rich land, such as is composed of the muddy depositions left by the tides and floods, which is there called silting, have been obtained by means of embanking. This kind of work has sometimes been undertaken by the tenants on a low piece of marsh, in consideration of having the land free for twenty- one years But in these cases the banks have often been very "W’- ' » ' A‘EMBANKMENTS‘ ' ' 1m 1.: .er L: ’ ~ 1%"qu _ , . §////://// 7 W /////// j ’ " . / / W 70' , I, "'1- {14: 17127.5. “ .rl ;-—— W W WWW/WWW , , f“ W/W/W/ V , ///,// /%./////r/Wi// i) 4. //./ ,/; WW 7; » RW —— W” , <——— __ /7////.W ‘5 (W flit) ‘1’ ' ‘zW,———= .,\ 0&1 “—— 7/ ///’ I // m If.) . 12. / I WéZII/’/' “2A / I/l/" / /{¢/ %%%//W%” 7W W, V ' U ////. - 1/ ,, //// /,,r,y,,/,. ,62’,,7z.//,a,tl ’ / i”WW/WW fl . .wmmmmmmy.m A . . H :i' <’ (z ‘1 ‘ ‘ / '/ W 5% ,/ / / , W ______ //////////////// 1"]:4] . 1..) . n EMB 3 9 EMB imperfectly made, not having cost more than forty shillings a rod. And those which were constructed by the landlords were indeed frequently but little better, being mostly deficient in not having slope enough given them towards the water. Coant Bentinck, and his son, who succeeded him in the estates, undertook the drainage of the marsh lands upon a scale never practised in that part of the island before, and by their successful operations have increased the old estates by more than 1,000 acres. The base of the embankment, in this case, is about 50 feet, the slope to the sea 36 feet, forming an angle, of about 25 or 30 degrees. The crown is 4 feet in width, and the slope to the fields 17 feet, in an angle of about 50 degrees ; the slope towards the sea being very nearly turfed over. The first expense incurred in forming this bank was £4 per rod, but a very high tide coming before it was finished, not only made several breaches, but occasioned an additional height and slope to be given to several different parts, in order to bring it to the dimensions mentioned above, all of which made the gross expense to amount to about £5 the rod. The whole cost was something more than £5,000. The expense of the houses, farm buildings, and other things, was about as much more, for five new farms, which was a greater expense than was necessary, as the land would have let as well in two or three as five farms. Supposing, therefore, the expense at £10,000 and the new rental at £1,000 a year, it is just 10 per cent. for the capital laid out. The expense here, however, seems to have run too high, when the neces- sary repairs of the bank are taken into the account. The representation, given at Figure 22, in the Plate, fully explains the nature of the embankment formed in this case. In another new embankment, in which 273 acres of marsh land, and 18 of bank, were gained, the men were paid 4s. 6d. a floor of 400 cubical feet, finding wheeling planks, barrows, trussels, &c. When it is thus formed, the front slope is sodded, for which they are paid in addition 4s. a floor of 400 square feet, earning from 5s. 6d. to 73. a day, and there is some little farther expense necessary for beating it down in a firm manner. The whole of the expense of the bank, sluice, and everything else, was about £3,300. The land was immediately offered to be rented at four pounds an acre for four years, or three pounds an acre for six years; which, in the former case, would amount to £4,368 in that length of time, or 1,000 guineas more than the whole of the capital laid out on the undertaking. On this coast the operation of silting up, or raising the surface of the marsh-land by the repeated depositions of muddy matters from the sea, is performed in a more rapid manner than in many others ; and the little hollows and creeks are found from experience to silt up much faster where the tide-waters are speedily taken off by proper cuts and channels formed for the purpose, than where the contrary is the case. One of the most extensive reclamations of land in England, is the large tract of country known by the name of the Great Bedford Level. This great expanse of rich and fertile country is bounded by the high lands of the counties of Norfolk, Suffolk, Cambridge, Huntingdon, Northampton, Lincoln, and the Isle of Ely, and contains upwards of 300,000 acres of fen-land, beyond which are about a dozen very large marshes also similarly reclaimed. The drainage of the whole level is effected by innumerable dikes and drains of all sizes communicating with, or gathered together into three great channels, forming the main outfalls into the sea. One of these outfalls is at Boston, in Lincolnshire; one at Wisbeach, in Cambridgeshire; and the other at Lynn Regis, in Norfolk. In Holland, however, is exhibited the most prominent illustration of the successful redemption of land from the sea; and probably in no part of the world has it been carried to so great an extent. Indeed, the whole country has been rescued, as it were, from the waves of the ocean, and has been secured and held only by the constant care and super- intendence of the persevering conquerors. There is little doubt that the inhabitants of Holland were obliged, in the first instance, for their own preservation, to erect barriers against the encroachments of the sea. On the invasion of their country by the Danes and Normans, the latter soon discovered the superiority of these lands to those adjacent to'them, and at once applied all their energies to the proper reclaiming of So fertile a property. Thus, by the steady perseverance of ages, has Holland become pre-eminent for the extent of her drainage works, though the manner in which their embankments are constructed is very far from equal to similar works executed in this country. It is said by those who have made it their business to examine the mode of making these banks, that in those made of stone, the materials are not economically distributed, but are heaped so confusedly on each other, as not only to weaken the bank, but occasion great waste. They have, however, a very ingenious method of facing their banks where there is a scarcity of stone, with straw, formed into ropes, about an inch or two in thickness, laid in regular courses. These courses fit closely together from top to bottom, and are fas- tened down to the bank with wooden fallts. In Ireland the attempt to bring into cultivation the immense tracts of bogs or flats partially covered with water, a few years ago attracted the public attention; and a board of commissioners was appointed to inquire into the nature and extent of the bogs in Ireland, and the practicability of reclaiming them. These commissioners have published reports containing much interesting and instructive matter, exhibiting the present state of the wastes in certain districts, and evincing clearly the practicability of converting them, at a compara- tively small expense, into rich arable and pasture land. On the north and west coasts of Ireland there are a great number of deep bays or inlets of the sea, presenting great facilities for embanking. Amongst these, the estuaries called Lough Swilly and Lough Foyle, in the counties of Donegal and Derry, seemed to offer to some enterprising specu- lators a tract of land peculiarly adapted for embanking. Sir John Macneill having been consulted on the scheme for the drainage of these loughs, employed Mr. J. W. Bazal- zette to make the necessary surveys for the purpose, and the latter has furnished to the Institution of Civil Engineers a valuable paper on the subject, from which the following observations have been extracted. Lough Foyle is described by Mr.Bazalzette, as not entirely , insulated from the Irish Channel, but as having a narrow mouth communicating with it. Above this month the waters spread over a wide tract of land, and then again contract into a narrow channel. The effect of the tide rushing through so small a passage has been to scour the narrows, and throw up the deposits on the sides of the Lough. By the accumu- lations of years these deposits have at last become immense banks of rich alluvial soil extending for some miles and covered only at high water. To reclaim this land it was proposed to construct an embankment or sea-wall, a little below low-water mark, for fourteen miles in length, by which about 25,000 acres of land would be enclosed. Lough Swilly is less extensive than Lough Foyle, but pre- sents greater difficulty in the construction of the works, from the scarcity of the necessary materials. It is wider at its EMB 380 EMB mouth (which opens into the Western Ocean,) than in any other part, and in its whole extent is extremely exposed to the winds. It was proposed to construct here three embank- ments, the first 1,100 yards, the second 1,133 yards, and the third 633 yards in length. The position of these banks being fixed by careful measurements and soundings, the pro- posed method of formation was as follows : Each bank was to be 4 feet in perpendicular height above the highest spring-tides, which here rise to 18 feet ; and to have a slope on the sea-face of 3 to 1, except in the most exposed part, where the slope was to be 4 to l. The materials available for the work were stone, clay, earth and gravel, taken from the adjoining lands, and the banks were to be faced with rough stones on both sides, laid as close as possible with the edge outwards, in_courses not exceeding 4 feet in height. In the centre of each bank was to be built a culvert of masonry, with proper sluices and flood-gates. These culverts were to rest on a foundation made by driving piles into the soil, which from its alluvial character could not be depended upon in itself. The sluices being self- acting, the drainage would be effected in the following manner. At high water, it being supposed that the whole of the slob (as it is termed in Ireland,) is covered on the receding of the tidal water, the sluices would shut of themselves, retaining the water within the banks. When the flood-tide came on, the pressure on the sluice-gates from within, would prevent their opening to admit it, and the retained water would soon evaporate, leaving the rich slob dry, and to be in a. short time fit for agricultural purposes. The extent of the slob thus enclosed by these three walls would be about 2,000 acres, and the value of it may be estimated by the fact that a large quantity of land has already been reclaimed near this part of the Lough. This land now lets at £5 per acre, and is considered the richest soil in the neighbourhood. Indeed, in every case, where a proper selection of land has been made, and the works performed judiciously, similar success has been the result. It has been remarked by Mr. Beatson, whose observations on this subject we have before noticed, that in the lakes or mires of the north, and the Laughs of Scotland and Ireland, the business of embanking is both simple and easy. In these situations the waters generally subside during the summer months. rising considerably in winter, and whenever the season is very wet. In particular cases, the extent of surface which is overflown in the winter season, so far exceeds that which it covers during the summer, that it would be an object, and sometimes a considerable acquisition, to confine the water within its summer boundaries, or to cut off some of its parts. To accomplish this, the princrpal outlet must be carefully examined, and be considerably widened and enlarged ; which will prevent the water from rising so high as was formerly the case. Where the levels will not admit of much depth being had, or where the ground is of a rocky nature, and would of course be difficult and expensive to deepen, the breadth should be increased as much as possible, and all obstacles cleared away, that the water may run freely in a shallow stream. Where it is required to ascertain with exactness, or to fix with certainty, the future limits of the water, a section of the greatest quantity running out during a flood should be taken. Suppose this section, for example, be 10 feet in width and 4 feet in depth, by making it 40 feet in width, the same quantity of water will not rise above 1 foot : consequently, by this means alone, 3 feet in height will be gained all round the lake, which, in case of embanking it, would be a great object. During the summer season, when the water is lowest, is the most proper time for carrying on these, as well as other embankments. When, however, any materials are to be brought from a distance, they may be laid down, or prepared at other seasons, with the exception of turf, which should always be used as soon as possible after it is cut. The manner of constructing embankments of this kind may be sufficiently understood, from what has already been said in the other description of embankments : observ- ing, however, as a general rule, that when the materials on the spot will answer the purpose, they should invariably be made use of, although at the expense of digging a trench larger and deeper than would otherwise be necessary. It should constantly be attended to, in executing all sorts of embank- ments, that the greatest care be taken to make them perfectly firm and solid, by continually beating them, and examining them carefully, during the whole of the time they are in a state of being formed. The following account of embankments on the Continent, is taken from the “ Dictionary of Terms of Art,” part of the very useful rudimentary treatises published by Mr. VVeale. “ On the banks of the Po, two sorts of dikes are used to prevent the river from overflowing during the winter, or the flood season. They are called ‘ in froldi,’ when immediately upon the banks of the river, and ‘in golene,’ when at any considerable distance, as it is sometimes found advisable to allow the river to spread over a large surface of the adjacent valley, either for the purpose of admitting it to deposit the mud in suspension, or to allow it to lose its torrental character. The maintenance of the works of these dikes is confided to the government engineers, who are under the control of a syndicate of the, proprietors of the property most liable to be affected by inundations. When the river passes from one state to another, as from Piedmont to Modena, a mixed com- mission is charged with the joint superintendence. “ The Haarlem lake, besides the very remarkable steam- engines described by Mr. Dempsey, merits observation for the extensive works executed for the defence of the land, and for the canals reserved for the navigation. The enclosure dike is 50,000 metres long, or rather more than 31 miles. It has two outfall dikes, which serve for the navigation, 9,000 metres, about 5% miles ; one half of which is 40" (131 feet 2 inch) wide at the bottom or floor line ; the other 43'“ 20 (141 feet 10 inches.) “ The ordinary tides are at the flux, 2 feet 4 inches above the scale or datum line at Amsterdam ; at the reflux, 2 feet 8 inches below the same datum : the difference between high and low water is then, on the average, about 5 feet. With violent winds from the N.W., however, the tides rise some- times 6 feet 6 inches above the average. The tides of the Y, near the lake, are + 16° (or 6% inches) and—23° (or 9 inches), giving a. total variation of 1 foot 3—2l inches. “The estimated cost of reclaiming the 18,000 hectares, was 8,000,000 of fiorins, or £667,000 English, nearly about £13 per acre. Previously to undertaking this colossal work, the Zind Plas, of 4,000 hectares superficial, (nearly 11,500 acres) had been reclaimed at a cost of 3,000,000 of florins, or £250,000; not far from £22 per acre. The heights of the enclosure dike are + or —— the datum line at Amsterdam, or the mean level of the sea in that port.” Embankment of the flooded part of the Amsterdam and Haarlem railway—The bottom part consists of treble ranges of fascines, tied down by longitudinal poles 1 metre apart from centre to centre, and 0.25t diameter ; two double stakes at each end of the poles, and two ties in the intermediate distances. The interstices of the fascines and the space between the rows, are filled in with sand. The upper part, forming the encasement for the ballast, is made of three rows of treble fascines, well staked and wattled together. “ A core of sand or clay, faced with step fascines, is made EMB 381 EMB up to low-water mark. Upon this a bed of rushes, fastened down by stakes and wattles, is laid; and the upper por- tion of the bank is faced with fascines of a regular slope of l to l.” Embankments against rivers may be divided into two kinds; namely, such as are for preventing their encroaching on the adjacent lands, and for protecting those lands and the neighbouring level country from being overflown, when the water rises above its ordinary level. It may be remarked, that where the course of a river is a straight line, or nearly so, it hardly ever makes any encroachment upon its banks, unless, perhaps, in very large rivers, when they rise above their common level, either owing to an increase in the waters, or to their being, in some degree, affected by the tides. In either case, the waves occasioned by a strong wind, where the river is wide, will moulder away the banks on that side upon which it blows, unless prevented in proper time. This may be done either by securing the bank properly with stones, or by driving a row of long piles pretty close together at a little distance from the shore, the piles being of such a length, and so driven, that their tops may be always above the highest rise of the water. It is surprising the effect that piles driven in this manner have in resisting the power of the waves in such situations. Some years ago, when Mr. Beatson was on duty as an engineer at a fort near Portsmouth, built on a point of land much exposed to the sea, the waves made such havoc, that the walls on that side were constantly giving way, although built in the most substantial manner; and having bulwarks of large heavy stone besides, to protect the foundation: however, all would not do; those bulwarks were soon knocked to pieces, and several times the wall itself. At length it was proposed to drive a number of piles at about 40 or 50 yards from the fort. These piles were 12 or 15 inches in diameter, and driven about one diameter from each other nearly in a straight line, parallel to the wall where the waves did so much damage. They were driven into the ground with a pile-engine till perfectly firm, perhaps 8 or 9 feet deep, and about 2 feet of the top of them left above the level of high-water mark. After this was done, the wall received no farther injury, the space between the piles and the fort being always perfectly smooth, however tempestuous the waves might be without. The same simple method might, it is supposed, sometimes protect the banks of large rivers, if exposed to the waves, when other methods might fail. But it is suggested, that the most common cause of rivers encroaching on their banks, is the resistance occasioned by a sudden bend. In flat countries, apt sometimes to be over- flown, where there are any such bends or windings in the rivers, it would be of great advantage to straighten the course as much as possible ; for, as every impediment or obstruction will naturally cause the water to rise higher than it otherwise would do, and as such bends have that effect, consequently, in the time of a flood the waters will overflow a greater extent of country, and to a greater depth, than if the river had a free and uninterrupted course straight forward. If the windings of the river cannot be altered, and encroach- ments are making on. some part of the banks, it. must first be considered, whether the force of the water can be driven to another place where no injury can be done. If, for example, a river is encroaching on its banks at m, Figure 13, a jetty of stone, at little way up the river, in the direction yz, would throw off the current towards w, and might totally prevent any farther encroachment. On the river N ith, in Dumfries- shire, it is stated, that a good deal has been done in this way by Mr. Millar, of Dalswinton, a gentleman of the most enter- 5E prising genius and most liberal mind, who has paid more attention, and laid out more money, in making important and useful experiments, than almost any other private individual. The course of the river, where Mr. Millar has been carrying on his operations, is said to be nearly as shown at Figure 14 by r s t u ,- at t, it was encroaching most rapidly, and seemed inclined to take a new course 'towards v, which would have destroyed some very fine land, and done a great deal of mis- chief in that part of the country. To prevent this, Mr. Millar made a large cut, about 400 yards in length, from w to r, and threw in a great quantity of stones quite across the river at s, to direct its course in a straight line from r to w. This had, in a great measure, the desired effect, by totally preventing its progress at t, but now it began to encroach on its banks at u. He at first endeavoured to prevent this by driving in, at a. considerable expénse, a number of piles at a little distance from the bank, and wattled them with willow branches, &c., thinking thereby to protect the bank. The piles were driven in with heavy mallets, apparently firm into the ground ; they continued so for some months, till a heavy fall of rain came on, which swelled the river, undermined the piles, and car- ried them all away. But, indeed, it is in vain to think of piles doing any good in such a situation, unless firmly driven in by a pile-engine ; for it is not possible to drive them in properly with mallets ; this must have been the cause of their giving way so soon. The piles not succeeding, Mr. Millar was resolved to try another plan; several of his adjacent fields being covered with an immense quantity of stones, he ordered them to be gathered and thrown into the river, so as to form a jetty at x, a little way above the injured bank. Being obliged to go from home about that time, and to leave the execution of the work to some country-people, they carried out this jetty too much at right angles to the stream. It had not, therefore, the desired effect, but rather made the matter worse than before; for, if a jetty is carried out at right angles, as at a, in Figure 4, the current will be forced from a to the opposite side of the river at b, and from thence it will rebound towards c, more violently that it did before. But if a jetty be placed obliquely, as at d, it will force the current gradually towards e, in which position one jetty may do more good than several placed improperly at right angles. Mr. Millar was, therefore, under the necessity of making other jetties in this way, and at length had the satisfaction to find that they answered the purpose intended. Those he made laterally formed a sort of convex slope, the convexity being parallel to the current. Strong planks were also firmly set on edge among the stones, their ends pointing towards the river, so that if ever any current came so rapidly as to move any of the stones, it must move them all in a. body the whole length of the plank. Perhaps this precaution was unnecessary ; for although stones are thrown into a river loose in this manner, the slush, sand, &c., that come down the river will soon fill up all the cavities, and render it as firm and solid as a regular- built wall. Mr. Beatson has been the more particular in this description, he says, in order to show the errors that Mr. Millar at first fell into, and the great expense they occasioned, Whereas, had he been on the spot himself, and got the work executed as he intended, it would have saved a great deal of unnecessary labour as well as money. It is stated by the same writer, that the next sort of em- bankments against rivers, are those to prevent them overflow- ing their banks, and inundating large tracts of country. This may be considered as the simplest and easiest of all sorts of embanking, ifjudiciously executed. It is, therefore, the more inexcusable to see, in some places, extensive tracts of the richest meadows completely overflown by every flood, for want of them. EMB 382 EMB Two ordinary-sized rivers rise no more, even in the greatest flood, than five or six feet above their common level, unless when they meet with some considerable interruption or con- finement in their course. But if interrupted or confined,'they will rise twenty feet or more, as is the case with some parts of the river Mersey, already mentioned. If, for example, a given quantity of water is six feet deep, when running over a space twenty feet wide, it is clear, if that space were only made ten feet wide, the water would rise to twelve feet, and if it were made forty feet wide, the same quantity of water would only rise to the height of three feet. It is, there- fore, of great consequence, in preventing inundations, to give the river as much width as possible, by widening every narrow place. All kinds of obstructions should also be removed, whether occasioned by windings, shoals, stones, trees, bushes, or anything else. In some cases this may even preclude the necessity of embanking ; but where embanking is necessary, let the banks by all means be at a sufficient dis- tance from each other, to contain with ease, between them, the largest contents of the river in great floods. The distance and height of the banks may easily be ascertained by mea- suring a section of the river when at its highest, or when the flood - mark is visible. By not attending to this, a great deal of money has been thrown away on the embankments on the river Mersey, and after all they do not effectually answer the intended purpose; a great part of the country being still overflown every time the river rises to any considerable height. Where a sufficient distance is allowed between the embank- ments, their height need not exceed from four to six feet. If irremoveable obstacles are in the way, which cause the river to rise higher, the banks must be higher in proportion. In either case, however, the slope of these kinds of banks on each side may be equal to its perpendicular height, and the breadth on the top about one-third of that height, which, sup- posing the bank six feet high, the base would be fourteen feet, and the breadth of the top two feet, as shown at Figure 16, in the Plate. The materials for making these banks should be taken as much as possible from the sides of the river, which will have the double effect of widening the river and forming the em- bankments ; and there should be a trench on the inside (from which materials may also be got) with some sluices, as for- merly directed, to drain off any water from within; also sluices to let in water from the river, if required, which would very much fertilize the meadows, if properly laid out for that purpose. Such farms as are situated on the borders of rivers are fre- quently, it was observed by a late writer, liable to much injury and inconvenience from them : 1st. From part of the soil being carried away in times of flood. 2nd. From their overflowing their banks. 3rd. From their flowing back in times of flood into the channels of the rivulets and streams that conduct the water from the more elevated and distant grounds to the rivers, whereby these rivulets and streams are made also to overflow their banks. In respect to the first, the danger of the soil being carried away in time of floods, it is increased or decreased according to circumstances, as the form of the banks, the nature of the soil, the rapidity of the river, and the quantity of water that lodges on the margins of the banks, or falls over them into the river. \Vhere the banks of a river are perpendicular, especially if the soil be of a rich mouldering nature, the danger of part of them being carried away by floods is much greater than where they slope gently from the surface of the field to the bed of the river, as has been already fully seen. Where that is not the case naturally, they ought to be moulded into that form by art ; as when a river, in place of being confined in its progress, has a power of efllux and reflux, the damage to be apprehended is inconsiderable, compared with what is likely to happen when, being restrained within too narrow limits, it is constantly struggling for an extension of space. Where the soil is rich free mould, and the under stratum, opposite to the greatest force of the water, sand or gravel, this struggle never fails to be attended with bad con- sequences. If the soil and subsoil be one entire mass of clay or strong loam, and the current of the river does not press more upon one part than another, a most substantial improve- ment may be effected by sloping the bank, so that the decli- vity may be one foot in three or four from the surface of the field to the bed of the river. This some may object to, as sacrificing a certain portion of valuable land; but it should rather, it is thought, he considered as a premium paid for the insurance of the remainder, than as a total loss. If gravel, mixed with small stones, can be conveniently procured, spreading these materials on the sloping bank to the depth of eight or ten inches, and till beyond the flowings of the river, will prove a good security against farther damage ; and if the bank be planted thick with any sort of willow, espe- cially the Dutch willow, it will in a short time become an impenetrable fence, while the annual cuttings of wood will soon be equal to the heritable value of the land thus appa— rently sacrificed. “’here no gravel can be procured, the new sloped bank should be immediately covered with well swarded turf, pressed down as hard as possible, either with the back of a spade, or with wooden mallets. If this be done in the 3 beginning of summer, and willows planted the following ‘ autumn, the improvement will be both effectual and perma- nent. In case the river run with extraordinary violence against any one particular part of the bank, it may be neces- sary to make a fence or bulwark of stone in the front of that place ; the best way of doing which, is, in place of building a wall, to drop the stones in a careless manner, but so as they may lie close together on the sloped bank, as already sug- gested. This is a much more secure mode of fencing, if the bank be made with sufficient declivity, than any stone wall tha.‘ ever was built for the purpose, and while it is the most secure, it is also the least expensive; but care should be taken to lay the stones all the way from the bed of the river, till considerably beyond where the river flows in common. \Vhere the soil is of a strong adhesive nature, and the under stratum is sand or a pebbly gravel, it becomes in a much greater degree necessary to slope the banks. The water, when rushing violently along, has a powerful efl'ect in under- mining the bank; so that the soil, having nothing to support it, naturally gives way, and frequently in such quantities as to occasion very serious loss both to proprietors and tenants. In all such cases, the slope should be made much more gradual than where the soil and subsoil are of the same quality, and such as will nourish aquatic plants. The banks, having been sloped according as circumstances require, a thick coat of gravel, mixed with small stones, where such can be procured, should be laid on, so as to form a kind of natural beach, over which the river, when in flood, may have power to extend itself at pleasure. Should it be difficult or impossible to procure such materials as are proper for form- ing this best of all defences, strong thick sods should be placed on the surface, in the manner before directed : these, if laid on in spring, or early in summer, will have time to unite, and to become one compact body before the autumnal floods (which are those whence the greatest danger is to be expected,)begin to flow. If the subsoil be of a nature unfavour- EMB 383 EMB able to the growth of willows, such sods as are full of the roots of rushes should be made choice of in preference to all others; as, where these plants thrive and spread over the surface, it becomes in a great degree impenetrable by water, even in great floods, and when the river runs with consider- able violenCe and rapidity. The directions above given will, it is Supposed, be found more or less practicable and useful according as the river on ordinary occasions runs with greater or less rapidity. In level, or nearly level districts, all that is necessary is to secure full scope for the rivers to overflow their usual bounds with- out interruption; when that is secured by either of the methods before mentioned, floods, unless very violent, seldom do any material damage to the banks of rivers in such situa- tions. It becomes in many cases extremely difficult to fence rapid running rivers in such a manner as to prevent part of the banks from being carried away by inundation. Sloping the banks would be attended with no good consequences. Even strong bulwarks made of stone are often swept away by the overpowering flood. A method has, however, been suggested, of fencing the sides ofa rapid running river, which has been practised with success, after several other attempts had failed: it is by means of a sort of large baskets, pro- vincially termed creels, formed of hazel, willow, &c., into a kind of open network, which being placed along the bottom of the banks, are filled with stones. This is a very simple, and by no means an expensive expedient; and as these baskets may be made to contain two or three tons of stone, it can only be on few occasions, and in very particular situations, that a basket, containing such a weight, can be displaced or carried away. Such a mode of fencing as this, it is imagined, would prove effectual in many parts of Scot- land and Wales, where the rivers run with uncommon rapidity. Owing to inattention, or rather to not being aware of the consequences, much damage is often done to the banks of rivers in level districts, especially if the banks be perpen- dicular, and of a considerable height, by allowing the land- floods to fall over them into the river. As the water from the furrows approaches the bank, it is frequently stopped in the furrow of the head ridge, which becomes for a time a kind of reservoir ; the consequence of which is, that a con- siderable proportion of water sinks and filters through the earth, which being thus softened and swelled, is more easily undermined and carried off by the river. Sometimes little cuts or openings are made for the furrows across the head ridge, for the purpose of conducting the rain-water into the river; here, again, the consequences are equally bad. Who- ever will examine the bank of a river where this mode of management is adopted, and it is very common, will observe, that at every one of these cuts or openings a little creek is formed, in consequence of the bank having been more softened, and by that means having become a more easy prey to the river when in flood. To prevent these evils, it is necessary, besides sloping the banks, to devote a part of the lands adjoining, to the breadth of 20 or 30 yards, for instance, either to pasturage or the growth of trees, and to form a drain at a proper distance from, and parallel to the bank, for the purpose of collecting and carrying of the water from the furrows. Were this done, and were the water from this drain conducted into the river by conduits formed a little above its ordinary level, much land, which is annually lost by neglecting this simple precaution, would be saved, and preserved in a proper state. In the second case, it is evident that injuries, although of another nature, are often sustained by farmers, from rivers overflowing their banks. Sometimes the farmer is prevented from sowing his field; at other times the crops of grain and grass are greatly injured, by being covered for a considerable time with water ; and at others again, the whole produce of the year, the hay and corn crops, are swept away. To prevent evils so complicated, and so serious in their nature, is certainly the business of every man, who, from the situa- tion of his farm, has reason to apprehend, that, Without using proper precautions, he may be subjected to such visitations. These damages can only happen in level tracts, where the banks of the rivers are low, and where the course is not of sufficient breadth to contain the water in time of flood. Some people, although very improperly, raise mounds of earth close to the top of the bank, and of a height exceeding that to which the river can be expected at any time to rise. These mounds, from being placed so near the river, are unable to resist the pressure of the water, and by giving way, frequently admit a current into the fields, which proves much more injurious in its course than if no mound whatever had been erected. Were a mound of earth formed on the side of the drain, proposed to be made for carrying off the land- water, and were that mound well sloped on the side towards the river, it would be the most secure and effectual guard against rivers doing injury to the adjoining lands, of any that could be adopted. By these mounds being placed at a distance from the river, the force of the stream would be much lessened, and the natural boundaries of the rivers greatly enlarged; as, in proportion as the mounds are removed from the centre of the current of the river, in like proportion will they become more secure, as being less liable to violent pressure. The prOpriety of erecting these mounds at a proper distance must, therefore, be sufficiently evident ; as, when mounds are erected near the top of the bank, which can only be owing to ill- judged parsimony, they form as it were a part of the bank, and are liable to be undermined and swept away. Whereas, when they are placed at the distance of 20, 30, or 40 yards, they serve rather as a boundary to confine the overflowing waters which glide along the bottom, than as a barrier to prevent the encroachments of an impetuous river during the time of floods. In regard to the third case, it is observed, that farmers who possess lands in low situations often sustain damage from rivers, in time of flood, by their flowing back into the channels of the rivulets and streams that conduct the water from the more distant and elevated grounds to the rivers, whereby these rivulets and streams are made also to overflow their banks. The only precaution that can be adopted, in such a case, or at least the one which appears to have the greatest proba- bility of answering the purpose, is to erect mounds at a dis- tance from the banks, and of a size proportioned to the quantity of water, which, from the cause now mentioned, may be supposed at any time to stagnate in these channels. This may be done at a very trifling expense either in money or land. If the proprietors do not choose to ornament the country and improve their own estates, by planting trees on the borders of the rivulets and streams, the farmers may so construct these mounds, as that they may become fences to their arable fields, while that portion of the farm, necessarily and properly cut off for the protection of the remainder, may be devoted to pasturage. Several different embankments of a successful kind have been effected in the northern parts of the kingdom. An important work of this nature was some years since executed on the estate of Lord Galloway, situated on the mouth of the river Cree. near Cree-town, by his lordship’s tenant, Mr. Thomas Hannay, who states, in the third volume of the “Farmer’s Magazine,” that at the time he entered on the farm, upwards of 100 Scottish statute acres were regularly EMB 384 EMB flooded by the highest spring-tides, excepting about three months in summer, when the tides were lower. They were seldom, however, covered above the depth of one or two feet, and never above four or five. Eighty acres of the above consisted of a rich sea marsh, or rugs, as they call them there, almost a true level, excepting where hollows were formed by the egress and regress of the tides, and the passage of fresh water from the higher grounds ; and about 4 or 5 acres, which were about 16 inches lower, being a younger marsh, and nothing but what they call ink-grass growing upon it; other grasses, such as clover, rib-grass, &c., grew on the rest of the marsh, forming a very beautiful close cover in the summer. The other 20 acres were at an average about 18 inches higher ; consequently the sea did not cover them so often. It had formerly been ploughed, but not for about 20 years past. Last time it was in corn, it was flooded immediately after being sown, which rendered the crop almost entirely useless, and deterred former tenants from ploughing it again. Mr. Hannay began to bank this field in the autumn of the year 1798, by making a dike along the side opposite to the river, in a direct line facing the east. This dike was made, at an average, about 3% feet high, and 6 feet broad at bottom, and 20 inches at top, built after the same manner with that mentioned below. He enclosed, along with the said fields, he says, 4 acres of the marsh adjoining, by making a dike 5 feet high, and 5 feet in bottom, almost wholly of solid feals or sods, with a very little stuff, properly beat, in the heart of it, which makes an excellent fence, and promises to be a very durable one. This dike, together with two small drains, one on each side of it, about two feet deep, cost 3d. per yard. The division-dikes of the Whole marsh, which now, divided into four parts, are all built after the same manner, only that there is no loose stuffin the heart of some of them, but all of solid feal, jointed like bricks, as may be seen at Figure 17, which represents an end view, or section of it. This dike, meant as a permanent fence, answered as a temporary bank, and enabled him to plough that field in spring, 1799, although the bank round the whole marsh was not finished till the winter following. He sowed oats on this field, and, considering the badness of the season, had a very good crop; particularly so on that part which had not been ploughed formerly. On farther consideration, he altered the plan of the bank round the marsh, (which extends in a circular direction facing the north) by making it, at an average. about four feet and a half high, and allowing about two feet in the base for one in height, as at Figure 18, where a be represent an end View, or section of it, every small span representing the section of a feal or sod ; a b shows the inside of the bank, with the green side of the feal down ; b c the base; a c the side next the water, with the'green side of the feal out, (which adds greatly both to the strength and beauty of the bank ;) and d the heart of the dike, made up with stufl“ properly compressed with a rammer. The stufi’ was taken from a ditch, in the inside of the bank, leaving a casement of a foot, which ought to have been three at least; and, where the ground is of a sandy nature, more ; as the fresh water, running in the inside, 'as likely to undermine the bank, had he not prevented it, by cutting a new drain, and filling the old one with the stuff cast from it. The only creek worth noticing, through which the bank passed, was about 40 feet wide, and 9 feet deep, in the bottom of which a wooden pipe, with a stopper, was laid through the bank. There are now about 50 acres of the same kind of marsh- land adjoining his; and also about 100 acres on the other side of the river, banked in, all nearly in the same manner as represented in the figure. The bank on a farm on the side of the river opposite to his, was made almost a complete wreck, by an extraordinary tide, owing to its lying quite exposed to the south-west winds, which always send up the highest tides ; but on his side, though suffering some injury from the same high tide, he was not affected by those winds, as they blew right over the bank. In his opinion, the bank on the other side of the river, in order to be durable, would require to be 30 feet broad, and 8 feet high, covered with feals, with the green side out; and that no stufl' should be lifted within 6 or 7 feet of it, the ground being of a sandy nature. It might be made after the form shown at Figure 19. The whole of this turned out most excellent land, and con- tinues to produce to this day some of the finest crops in that part of the country. Another improvement of the same nature was accomplished on what in Scotland is termed carse land, on the farm of Netherton of Grange, belonging to James Peterkin, Esq., by Mr. John Hoyes, his tenant. The work was undertaken under an agreement with the proprietor, to allow one year’s rent, of £195 sterling, with the farther allowance of amelio- rating the farm—houses to the extent of £150 more. The method adopted for carrying on the operations was this :— After looking over the carse, and marking out the line or dike, the length of which is 1,400 yards, mostly in a right line, except an angle at the distance of 300 yards from the west end, and a segment of a circle at about 250 from the south- east end, it was resolved to make the embankment 6 feet high in the highest part of the ground, and to allow 2 feet of breadth in the bottom of every foot in height, as seen by the draught of the mould at Figure 20. After taking the level of the carse, it was found, that where the ground was low, and a good deal of it broken by runs of the sea and outlets for the water, the dike would require to be 8 and 10 feet high, to have it on a level at the top; so that the average would be 9 feet high. The embankment was built in the following manner: It was begun on the highest ground, near the west end, and two moulds set up at the distance of 70 or 80 yards; the height, 6 feet, by 12 broad in the base; the slope on the outside 6 feet, on the inside 4 feet, and the breadth at the top 2 feet; the sides made. up with feal from the broken ground on the outside of the dike, which were laid with the grass-side down, two feal deep on each side of the (like; the outside feal of the first course with the ends out and in, and the other running along; the next course, the outside feal running along, and the outside out and in, and so on alternately, each course'consisting of a head and runner ; the body of the dike being made up of the carse ground from which the feal had been cut, and packed down by men with heaters. When this was brought to the height of 4 or 5 feet, another piece was begun, leaving an intermediate space, where there were any water-runs, for the .egress of the tide: this was found necessary, to draw off the water from the low parts of the carse, which would have been filled up in spring-tides; and, by coming in at the end and over the high ground, would have been prevented from getting out by the dike, if it had not been done in that way; so that the embankment was all in detached pieces, till it was brought near the height. These intermediate spaces were then filled up, between the fall of one and rise of next spring-tide, after laying down wooden pipes with stoppers in the dike, to carry off the sink-water. In carrying on the work, they had in some places to cross over lakes and runs made by the tides, which required vast quantities of materials, the dike being in some places upwards of 10 feet high, and 22 broad in the base: the greatest part of the dike being 16 to 18 feet broad. There was one lake of 150 feet in length, and 50 feet in breadth, filled up with earth, clay, and sand, to the height of 5 feet; on which the EMB 385 EMB ’dike was then built. This forms a mound, on the outside of the dike, of 15 or 16 feet broad ; and through this there are pipes laid, to carry off the sink-water. A stream of 'water was also turned by the west end of the farm, by cutting a canal, which conveyed the water through the embankment there, by means of an outlet built of stone, with a sluice on the inside, raised to the level of the running water, and a folding door on the outside, to be shut by the spring-tides. At this place, a road, that formerly led to Findhorn at low water through the carse, is carried~over the top of the dike, by making a mound of earth at each side, with a gradual approach and descent. In Figure 20, a, is the breadth of the dike at the top, when finished ; b, the breadth of dike at the bottom, being twelve feet, when it is six feet high ; c, the breadth when eight feet high; (1, the breadth when ten feet high ; f, the slope on the sea-side of the dike, which is always equal to half of the breadth of the bottom: the inside slope, and breadth of the dike at the top, is equal to the other half; and e is the plumb-rule in a frame, made to apply to the mould or dike : the intention of it was, to find if the dike was kept on the proper slope, where a line could not be applied from one mould to another, as in a round or turn, or when the moulds were obliged to be taken down; but this one only answered for the sea-side, another being used for the inside, to fit its slope.” Figure 21, is a scale of the mould, one-eighth of an inch to a foot. A curious, useful, and highly ingenious method of embank- ing, and preventing the waters of the tides from soaking through the porous banks, made in the fen—lands, and low marshy grounds, was described by Mr. John Smith, in the fourth volume of “ Communications to the Board of Agricul- ture,” who begins by “concisely observing, that the great land of the fens is divided into three large levels ; and that each of these levels is subdivided into numerous districts by banks: but as these banks are made of fen-moor, and other light materials, whenever the rivers are swelled with water, or any other district is deluged either by rain, a breach of banks, or any other cause, the waters speedily pass through these light, moory, porous banks, and drown all the circum- jacent districts. The fens have thus sometimes sustained £20,000 or £30,000 damages by a breach of the banks, though these accidents seldom happen in the same district twice in twenty years. The water, however, soaks through all fen- banks every year, in every district; and when the water- mills have lifted the waters up out of the fens into the rivers in a windy day, a great part of the water soaks back through the porous banks, in the night, upon the same land again.” And he adds, that “ this water that soaks through the bank drowns the wheat in the winter, washes the manure into the dikes, destroys the best natural and artificial grasses, and pre- vents the fens from being sown till too late in the season. This stagnant water lying on the surface, causes also fen- agues, &c. Thus, says he, the waters that have soaked through the porous fen-banks have done the fertile fens more real injury than all the other floods that have ever come upon them.” Having been much concerned in fen-banking from his youth, he had some time since devised the plan which he now finds to answer so well ; but found it difficult to prevail with any gentleman, who had a proper extent of this sort of land, to give it a fair trial. However, during the last autumn, he prevailed with a person in the parish where he lives to try it, which showed it to be equal to his highest expectations. The improved method of embanking proposed by this gentleman, consists chiefly in this : that “ a gutter is cut eighteen inches Wide, through the old bank down to the clay (the fen substratum being generally clay ;) the gutter is made 5 F near the centre, but a little on the land-side of the centre of the old bank. This gutter is afterwards filled up in a very solid manner with tempered clay; and to make the clay resist the water, a man in boots always treads the clay as the gutter is filled up. As the fen-moor lies on clay, the whole expense of this cheap, improved, and durable mode of waterproof banking costs in the fens only Sixpence per yard. This plan was tried on a convenient farm, and a hundred acres of wheat were sewn on the land. The wheat and grass lands on this » farm were all dry, whilst the fens around were covered with water. This practice is, after all, nothing more than making a puddle-bank, well known to all engineers, or those engaged in forming canals. ' The term embankment in canal-making is applied to any large mound of earth, either for confining the water of the canal or reservoir, or for carrying the former across a valley or low piece of ground. The method of constructing such embankments is nearly the same as in those for railways, except that in the former the sides have puddle-trenches formed near the canal, to prevent leakage. The embankments on some of the great lines of railway in this country are of immense magnitude, on the London and Birmingham railway, for instance, the total of embankments amounted to about 11 millions of cubic yards. The follow- ing extracts from specifications for works of this kind will show the usual mode of construction. “ The whole of the embankments in this contract shall have slopes of two to one (that is to say) where the base of the slope is two feet, its height shall be one foot only, and they shall be thirty-three feet wide at the level of the red line in the section, neither more or less. “ Each of the embankments shall be uniformly carried forward as nearly as the finished heights and width as the due allowance for shrinking of materials will admit of, and this allowance shall not exceed or fall short of the quantity deemed necessary by the engineer. In all cases, this must be care- fully and strictly attended to, in order to avoid the necessity of making any subsequent addition, either to heights, or the width of the embankment, to bring them to their proper level and dimensions. “The surface of the embankment shall be kept in such form, or be intersected by such drains, as will always prevent the formation of pools of water upon them, and insure the embankment being kept as dry as possible. “ Whenever the material, teemed over the end of the embankment, shall not form the proper slope, it shall be care- fully trimmed to its required form ; and this operation must proceed at the same time with the end of the embankment, so as to obviate the necessity of any future addition of material to the sides of the embankment. “As the embankments advance, and become consolidated, the slopes shall be carefully trimmed into planes having the proper slope, and be neatly covered with a uniform substance of turf, of not less than eight inches in thickness, and laid with the green sward outwards ; the turf must be taken from the ground to be occupied by the base of the embankment, and cut square, so as to be laid on the slopes in the form of flags ; and where the land is arable, the slopes of the embankment shall be covered with soil. It must be uni- formly laid on, of the thickness of six inches, and sown with rye-grass and clover-seed, as soon as the proper season will admit of its being done, not less than one pound and a half of clover seed, and one pound and a half of rye grass seed, to be sown to each acre. “When the material, brought to the embankment, consists of large lumps, they shall be broken into pieces of not more than six inches in diameter.” ENA 386 ENT Expense of forming embankments.—-T his must obviously be very different in different situations and Circumstances, according to materials and the price of labour, but though in general pretty considerable, it is seldom so high as. is com- monly supposed. It is probable, that in cheap districts, and where the materials are plentiful, the expense of forming an earth-bank, covered with sand or gravel, such as that shown at Figure 1, could not be less than from fourpence or sixpence, to tenpence or a shilling, the cubic yard. And such as have more steep and bold slopes, as from thirty-five to forty degrees, and are formed with pavement on the surfaces, cannot cost less than from ninepence to one shilling the cubic yard. One made on the plan of that shown at Figure 6, could not be constructed for less than from twelve or fifteen to thirty pounds for every thirty-two yards. And one constructed of brushwood, in the same method, for soft ground, which will not admit of a wall, would not be lower than from sixpence or eightpence, to six or seven shillings for each foot forward in a lineal manner. In many situations, the expenses would, however, in all sorts of embankments, stand a great deal higher than these. In some districts, embankments are formed by the rod and the floor, the former being from four to five pounds, and the latter about four shillings and sixpence, the workmen finding all sorts of necessary things for the business. EMBATTLED BUILDING, a building with embrasures in the parapet, resembling a castle or fortified place. EMBATTLED LINE, a straight line bent into right angles, so that if there be two sets of parts, the parts of each set may be in the same straight line, and parallel to the parts of the other. EMBATTLED ARONADE, is partly the same as the EMBATTLED LINE, the difference consisting of a semi-circle raised in the middle of each part which forms the continuation of one of the straight lines, the semi-circle presenting its convexity towards the parts which form the other straight line. EMBATTLED BATTLED LINE, a staight line bent into right angles, so that if there be three sets of parts, one set may be parallel to those of the other two. EMBLEMATA, a kind of inlaid or mosaic work, used by the Romans in flooring, panelling, &c. EMBOSSING, the act of forming work in relievo, whe- ther it be cast, moulded, or cut with a chisel. EMBOSSING, in architecture, that kind of sculpture in which the figure stands in relief beyond the plane, or other surface from which it seems to rise. The several kinds of sculpture formed by embossing are, low relief; mean relief; and high relief. EMBRASURE, an enlargement or splay of the aperture of a door or window, generally withinside the wall, for the admis- sion of a greater quantity oflight ; when the wall is very thick, an enlargement is also made on the outside of the wall. EMBRASURE, is also applied to the apertures of an embattled parapet. It is another term for the crenelles, or intervals between the merlons. EMBROIDERY, the enrichment of woven fabrics by the introduction of devices in needlework. Embroidery was a kind of work very usually employed in ecclesiastical hangings, vestments, and the like, and, in such cases, is of the most gorgeous and elaborate description. EMPLECTON, a kind of walling, used by the Greeks, and the Roman villagers, consisting of rubble masonry, with facings of wrought stones laid in regular courses. See WALLS. ENAMELLING, a method employed to enrich metal-work by the introduction of colour, much used in the works of the middle ages. Specimens of enamel of an early date are to be seen on the envelopes of Egyptian mummies, also in Greek and Roman work, 8m. EN CARPUS, sculptures of fruit or flowers, such as those employed in the decoration of friezes. ENCAUSTIC, a term applied to paintings, in which the colours are fixed by means of heat. Encaustic tiles, are those in which coloured devices are introduced, the colours being burnt in during the process of manufacture. ENCHASING, that mode of decorating metal-work in which the devices are represented in low relief. ENDECAGON. See HENDECAGON. END-IRONS, otherwise and—irons, standards, usually of metal, and of various forms, used in fireplaces previous to the employment of coal for fuel, to support the logs of wood. ENDS OF A STONE, the two parallel sides, which form the vertical joints. - ENGAGED COLUMN. See COLUMN. ENGINE, Pile. See PILE ENGINE. ENGLISH ARCHITECTURE, a term applied by some to the styles of Gothic architecture as developed in England. See GOTHIC and DOMESTIC ARCHITECTURE. ENGLISH-EON D, in bricklaying, a disposition of bricks, wherein a course of headers succeeds a course of stretchers alternately. In the north, bricklayers frequently run three or five courses of stretchers to one of headers. ENGLISH OAK, oak timber of the native produce of England. It is much used in the country for rustic buildings, and is particularly useful in the truss-posts of roofs, as being less liable to compression, and possessing a greater degree of tension, than fir. ENNEAGON, a figure of nine sides and angles. ENSEMBLE, (a French word, signifying together, or one with another, formed of the Latin in and simul,) the work or composition of a building, considered as a whole, and not in parts. ENTABLATURE, (French, from the Latin tabulalum, a stage, or story,) that part of an order which is supported by the column or columns, and forms the covering or shelter to the edifice. It consists of three principal divisions, viz., the architrave, which rests upon the capitals of the columns; the frieze immediately above it; and the cornice at the sum- mit. These divisions, according to Vitruvius, represent the principal timbers used in the roof of the timber-building, which he supposes to have been the origin and type of erec- tions in stone. This subject has been already referred to under the title DORIC ARCHITECTURE. The entablature either finishes the whole edifice, or so much as has the order applied to it ; and in strictness ought to terminate either in a level cornice, or in a pediment formed of two equally inclined cornices. This rule, however, was not always adhered to by the Romans: for in many of their buildings, we find the ordonnance crowned with an attic or blocking course. The edifices of Balbec and Palmyra were often finished in this manner ; as were even some of the Grecian structures, after Greece had become a Roman province. The general height of the entablature is equal to two dia- meters of the column ; though some authors make the Doric entablature one-third of the height of the column; and the entablature of the Ionic one-fourth, and that of the Corinthian or Composite, each one—fifth of the respective columns. Vignola makes the entablature one-quarter of the height of the column, in each of the Orders ; but the former proportion of twice the breadth of the base agrees much better with the ancient Grecian examples than the other two. It must be recollected, that in ancient examples of the same Order, the height of the entablature is in some instances more, in others less, than two diameters. In the temple of Minerva, at Athens. ENV 387 ‘ ENV which is one of the most .chaste of the Grecian Dorics, the entablature is almost precisely two diameters of the column. In the Corinthian or Composite, where the column is ten diameters in height, the proportion found in some ancient examples of later date, one-fifth of the said height, is exactly two diameters of the foot of the shaft. To find the proportions of the difl‘erent parts of the entab- lature, divide the total height into ten parts, of which give three to the architrave, three to the frieze, and the remaining four to the cornice. This will stand as a general rule, but in the Doric order the proportions are somewhat different, the architrave containing two-eighths, and the frieze and cornice three-eighths each. The entablature is also called trabeation ; and by Vitruvius and Vignola, ornament. _ ENTABLATURE, or ENTABLEMENT, is sometimes used for the last row of stones on the top of the wall of a building, Whereon the covering rests. As this is frequently made to pro- ject beyond the naked of the wall, to carry off the rain, some authors call it, in Latin, stillicidium, or drip ; but such an entablature does not stand out far enough, but permits the water to fall on the foot of the wall. ENTAIL, a term used in the middle ages to designate all kinds of sculpture and carved decoration, but more especially applied to the more elaborate enrichment. ENTASIS, the swell observable in the shafts of Grecian columns, and more particularly in those of the Doric order. Amongst the modern Italian architects, the practice has been carried to an absurd excess. Several methods of describing the curve will be found under the article COLUMN. ENTER, (from the French entrer, to go in,) in carpentry and joinery, to insert the end of a tenon in the mouth or beginning of a mortise, previous to its being driven home to the shoulder. ENTRESOLE, (French,) an intermediate story; a low floor introduced between two principal ones. See MEZZA- NINE. ENTRY, (from the French entree, a passage,) a door, gate, passage, &c., for admission into the interior of an enclo- sure, house, or apartment. ENVELOPE, (French,) the covering of a portion of the surface of a solid, by means of a thin pliable substance, which comes in contact in all points or parts with such surface. To develope the surface of a solid, is to find the envelopes that will cover its different parts. A few examples of the developement of surfaces will be here given, and for further information we refer the reader to the article SOFFIT. Problem I.— T o develope that portion of the curved surface of a cylindroid, which is contained between two parallel planes, and another plane passing through the axis at right angles with the parallel planes. Plate I. Figure 1.——Let M N L C be the plane passing through the axis, terminated at M C and N L by the parallel planes, and by the surface to be developed, at M N and C L ; the four lines MC, C L, L N, N M, forming a parallelogram, MC, LN. Draw CA C, at a right angle with C L, and pro- duce NM toA; then AC is one of the axes of the elliptic section, at‘right angles to the axis of the cylindroid. On A C describe the semi-ellipsis ABC, having its other semi-axis equal to that of the cylindroid ; divide the curve ABC into any number of equal parts, say eight, and extend them from A to Cs, which coincides with the termination of the eighth part, marking the respective points as l, 2, &c., at e, g, 8w. Through the points of division, 1, 2, 3, &c., in the arc, draw the straight lines 1 E F 1, 2G H K, parallel to AM: also, from the points e, g, &c., draw lines, .9 f i, gh h, &c., parallel to AM. Transfer the distances, E F, GH, &c., to cf; gh, 8m. ; through the points M,f; h, &c., to CB, draw a curve; and C, M N I will be the envelope required. Problem II.— To deuelope the surface of a cylinder con-- tained between two other concentric cylindric surfaces and a plane, in such a manner that the axes of the two cylindric surfaces may cut the axis of the first cylinder at right angles, and that the plane may pass along the axis of, the first cylinder, and cut the axes of the two cylinders at right angles. Figure 2.—Let A C L N be the plane terminated by the arcs ACand NL, which are the intersections of the concentric cylindric surfaces, and by the parallel straight lines A N and C L, which are formed by the curved surface of the cylinder intersecting the plane. ‘ Proceed in every respect as in Figure 1, and the envelope will be obtained; the referring letters being alike in both Figures. Problem III.—T0 develope that portion of the surface of a cone contained between two parallel planes and a third plane, so that the axes of the cone may be cut at right angles by the parallel planes, and that the third plane may pass along the axis of the cone. Figure 3.-——Let- A E F C be the plane passing along the axis, terminated at AC and E F by the parallel planes, and at AE and C F by the curved surface of the cone. A B C is a section of the cone, perpendicular to the axis. Produce AE and C F 'to meet in D; and with the radii DE and DA describe the arcs E G and A C ; extend the semi-circumference of A B C on the are A C, from A to C, and draw C G D ; and A C G E will be the envelope required. Problem IV.— To develope that portion of the surface of a cone contained between two concentric cylindric surfaces and a plane“ passing along the axis, so that the plane may cut the common axis of the cylindric surfaces at right angles. Figure 4.—Let A I K C be the portion of the plane passing along the axis, and the arcs A C and I K the intersections of the cylindric surfaces; the straight lines A I and CK, the intersections of the conic surface. ABC is a section upon the chord AC. From D, with the radius DA, describe the are A M ; divide the semi-circumference A B C into any number of equal parts, and extend them upon the are A M, from A to M, at the points 1, 2, 3, 8m. to M : draw 1 D, 2 D, 3 D, &c. to M D included ; also, through the points 1, 2, 3, in the arc AB C, draw lines perpendicular to A C, cUtting it in as many points : from these points, draw lines to D, cut- ting both the concave and convex curves ; from the points so cut, draw lines parallel to AC, cutting AD ; then from the points of intersection, made by the parallels drawn from one of the curves, describe the several arcs drawn from the point D, to cut the respective straight lines. Proceed in the same manner with the other curve, and through the points so obtained, draw the two curves; and AMLI will form the envelope required. But to show more particularly how the successive points in the curve of the envelope are found, we shall only describe a single point, and the remain- ing points will be obtained in the same manner; thus, to find the point B in the envelope, draw 2E perpendicular to AC, cutting it at E ; draw E D, cutting the curve A C at F; draw F G parallel to A 0, cutting A D at G ; from the centre D, describe the arc GH, cutting 2D at H, which is a point in the curve, as before stated ; but by drawing the several systems of perpendicular lines, of lines going to a centre, and parallel hues, at once, much time will be saved in the operation. ENV 388 EPI Problem V.—To develope the surface of a cuneoid con- tained between two parallel planes, and a plane passing along the axis of the cuneoid, so that the parallel planes mag be perpendicular to the plane passing along the axis, the section of one of the parallel planes being given. Figure 5.—Let A B C D be the plane passing along the axis, terminated by the straight lines AD and B C, which are the intersections of the parallel planes, and by the straight lines A B and p D, which‘ are the intersections of the cuneoidal surface. Let the section B E C, standing upon B c, be a semi- circle, and, consequently, the section AFD formed by the other parallel plane, will be a semi-ellipsis of the same altitude. . Produce A B and D C to meet in G, divide the arc B E, which is the half of the semi-circumference, into any number of equal parts, say four, from the points of division, draw the perpendiculars 1 H, 2 I, 3 K, E L, cutting B c at H, I, K, L : draw G P perpendicular to AG ; on G P make G m, G n, G 0, and GP respectively equal to H 1, I 2, K 3, and L E; from the points m, n, 0, P, as centres, with the respective distances GH, G I, G K, and G L, describe the arcs h r, it, h v, and lx; extend the arc B l, or 1, 2, which is the eighth part of the semi-circumference, from B to h, from h to i, from i to h, and from k to I; then drawing the curve B h ih l, will give the half of the envelope, which will coincide with the arc HE, when the semi-circle EEC is turned perpendicular to the plane, A B C D, upon its base B C : and since lP is the middle line, the other half, or counter part, will easily be found. To develope the elliptic edge, join mh, n i, o h, and Pl, and produce them to u, s, t,f.- transfer HU, I s, KT, to h u, is, h t, If, and through the points A, u, s, t,_f, draw a curve A u s tf, which will be the envelope of the arc AF, the half of the semi-ellipsis AF D; then the counter part being found, will complete the envelope ABC d of the curved surface, standing over A B C d. Problem 'VI.— T o develope that portion of the surface of a cuneoid terminated on two sides by a plane passing through the axis, and by two concentric cglindric surfaces, whose axis is perpendicular to the plane given ,- given that portion of the plane terminated by the curved surface of the cuneoid, and by the intersections of the two cglindric surfaces ,- also, the semicircular section of the cuneoid. Figure 6.——-Let AE and BG be the intersections of the cuneoidal surface, and the arcs A E B and E F G the intersec- tions of the concentric cylindric surfaces. Let D C be the intersection of the section, which is a semi- circle, then find the envelope for the semi-circumference, as in the last problem for parallel planes; then the lengths of the intermediate lines contained between the base of the circular section, and the intersections ofthe cylindric surfaces, being transferred upon the corresponding lines from the semicircular envelope, will form the covering of the cuneoidal surface, as defined. The reader will observe, that the two last constructions in Problems V. and VL, are only approximations near to truth; it is, we believe, impossible to find the true envelope by means of straight lines, or perhaps even to extend the true cuneoidal surface on a plane at any event, any more than that of a sphere, which can only be represented by means of pro- jections. The only surfaces which can be extended on a plane, are those to which a straight edge will everywhere apply through a certain point, or in parallel directions to a given line ; of this description are the surfaces of planes, cones, and cylinders : a straight line will apply to all parts of the surface of a cone through the vertex, and to all parts of a plane through any given point, and to all parts of the surface of a cylinder parallel to the axis. The envelopes of all solids, to which a tangent plane to its surface parallel to the given plane will apply, have the same curvature or straight line at the edge, where the plane be- comes a tangent, as the corresponding part of the edge of the given plane. In describing the envelopes of solids, the whole or a portion of the section passing through the axis, is always supposed to be given, as also a section of the solid, making a given angle with the said plane, and the intersection in a given posmon. If only a portion of the section passing along the axis be given, it is always supposed to be terminated by the same surfaces, which also terminate the surface to be covered. The following is a more general method of finding the envelope of a solid by means of points. In this description it will only be necessary to have the seats of three points given on the base, and the heights of the points on the cylindric surface from their seats. Let A B C (Plate II. Figures 1, 2, 3) be the part of the base of the cylinder, and A, B, C the seats of the three points ; join A C ; draw C E and A D perpendicular to A C ; make AD equal to the height of the point above A, C E equal to the height of the point above C, and C F equal to the height of the point above the seat B; join E D; draw F G parallel to C A, and G H parallel to CE, cutting AC at H; and join H B; produce A C to I; divide the curve A B C into any number of equal parts; and extend those parts upon C I; through the points of division in the curve, A B C, draw lines parallel to B H, intersecting B C; from the points of intersection in A C draw lines parallel to G H, to meet D E; from the points ofintersection draw lines parallel to A C; and from the divisions in C I draw lines parallel to C E, so as to intersect the other parallels last drawn; through the points thus found, draw the curve C I K E C, and it will be the envelope required. Figure 1, is the case where the rectangular plane makes a right angle with the elliptic section : Figure 2, that where the angle made by the rectangular plane and the elliptic section is acute: Figure 3, where the angle formed by these two planes is obtuse. In Figures 2 and 3, D M E is the orthographical projection of the curve; with which the curve, B K, of the envelope would coincide. This is found by drawing parallels to GH through the points of division in the curve A B C, to meet the parallels of A C, as shown by the dotted lines. EPHESU S, an ancient city of Ionia, formerly the metro- polis of Asia Minor, now in ruins. The celebrated temple of Diana, in this city, was deemed one of the seven wonders of the world. In the time of Pococke, the remains of this renowned metropolis consisted of the temple of Diana ; a circus ; a gymnasium ; a large theatre, and two of smaller dimensions; an odeum, or music theatre ; a building, called the Athenceum; another, called the ngwleum, of which there are yet considerable remains; with some vestiges of an aqueduct, and other fragments. A great part of the ancient walls are still entire, but in some parts the founda— tions only remain, from which it appears they were ten feet thick. Most of these vestiges are represented in Pococke’s Travels in the East. The situation of this city was very favourable to the procuring of materials, being in the vicinity of Mount Lepre, which consisted of rocks of stone and marble, whose elevated situation atforded the means of an easy transit of the stones or blocks for building, to the site of the intended fabric. EPICYCLOID, in geometry, a curve generated by the revolution of a point in the circumference of a circle, while it is moved round the circumference of another quiescent J’IATE 1., fluff/Hal [In ._ ,/:.121-/n./,-‘m. g Minn/ml /« haw/Mu! /:1 C K K k" 11/“ WW, ' ‘ 'V l ‘ ‘ ‘ ‘ ¥ _ [f L'1'1'11/1(/A;‘/r/J . ‘n \ V \ ‘ ,an ‘ > ‘ \ > . r‘ ,- VON DON" f'E’JN‘l'LNL‘ r) . , ‘ » W { PLATE H. 219.1. \\. m " \if , 1 - + 1- 1 .11.. \ H m N M H .. f . WE ,1yl...:i.1.t )1 1.. ,_ m + - , 7 .- m ,- :M h m m w L ,H m + s 1 , 1- - w . V w _ . _ H. H . " zwtl. 1 I P, 5 . M . W m _ w _ _ ._ / (yr. _/ . / film ./. . .. , 7 T1 _ Jr} 1:. .. litrr’. , 3.12 19.1.: 1. ., I... , .v . ._ . . . +41n,,....-..1.-t¢§::i . y _ . .r ... _ n . EPI- 389 E80 circle in the same plane, so that in each circle, the distance between the point of contact at the commencement of the motion, and the point of'contact at any instant while in motion, is equal one to the other. Hence if the circum- ferences are equal, all parts of the circumference of the moving circle will have been in contact with all the parts of the circumference of the quiescent circle. If the generating circle proceed along the convexity of the periphery, it is called an upper, or exterior epzcycloz'd ; if along the concavity, a lower, or interzor epzcyclozd. The part of the quiescent circle which the generating circle moves along, is called the base. The length of any part of the curve, which any given point in the revolving circle has described from the time of its first being in contact with the quiescent circle, i3, to double the versed sine of half the arc, as the sum of the diameters of the circles, to the semi-diameter of the quiescent circle ; provided the circumference of the moving circle be carried along the convex side of the quiescent circle; but if upon the concave side, as the difference of the diameters to the said semi-diameter. Dr. Halley gives us a general proposition for the measuring of all cycloids and epicycloids : thus, the area of a cycloid or epicycloid, either primary, contracted, or prolate, is to the area of the generating circle, and also to the areas of the parts generated in these curves, to the areas of the analogous segments of the circle, as the sum of double the velocity of the centre, and the velocity of the circular motion, to the velocity of the circular motion. The demonstration hereof,- see Phil. Trans. No. 218. The areas of epicycloids may be determined by the follow- ing proportion: As the radius of the circle of the base is to three times that of the radius, together with twice that of the generating circle, so is the circular segment to the epicycloidal sector, or the whole generating circle to the whole area of the epicycloid. As to the tangents, it is known from the time of Descartes, that a line drawn from any point to that of the base, which touches the circle, whilst this point is described, is perpen- dicular to the curve, and consequently to the tangent. Maupertius, discussing this subject, conceived a polygon to revolve upon another, the sides of which are respectively equal; one of the angles described a. curve, the periphery of which is formed of arcs of circles, and the area is composed of circular sectors, and right-lined triangles. He determined the proportion of the area, and of the periphery of this figure to those of the generating polygon. He also supposed those polygons to become circles, the figure described to become an epicycloid, and the above-mentioned proportion, modified agreeably to this supposition, gave him the area and periphery of the epicycloid, .Mem. ([6 l’Acad. 1727. It does not appear that any writer published an account of epicycloids, before the celebrated Sir Isaac Newton, who, in the first book of his Principz'a, proposed a general, and a very simple method of rectifying these curves. After him, Bernouilli, during his residence at Paris, showed how, by means of the intregal and differential calculus, to determine their area and rectification. The invention of epicycloids is, however, ascribed to M. Reaumur, the celebrated Danish philosopher, during his residence at Paris, about the year 1674. These curves appeared to him to be such as best suited the teeth of wheels, constructed so as to diminish their mutual friction, and to render the action of the power more uniform; hence he was led to consider them, and to this purpose they have been applied. However, M. de la Hire makes no mention of Reaumur, and seems to claim the merit ofthis geometrical and mechanical invention. But M. Leihnitz, 5 G who resided at Paris in 1674, and the two following years, says, that the invention of epicycloids, and their application to mechanics, was the work of this Danish mathematician, and that he was esteemed the author of it. EPISTYLE, (from art, upon, :uhog, column) in ancient architecture, a term used by the Greeks for what we call arc/zitrave, viz., a massive stone, or a piece of wood, laid immediately over the capitals of columns, from one to the other. The epistyle is the first or lowest principal division of the entablature. EPISTYLAR ARCUATION, a term applied to that method of building in which arches are thrown from column to column, instead of horizontal architraves. EPITITHEDAS, (Greek am 71917,“) a word used by the Greeks, to express the Simm, or cymatium, or crowning moulding of the entablature. By some the term is restricted to the upper member of a raking cornice. EQUAL ANGLES, are those whose containing lines are measured by equal portions of equal arcs, described from the meeting of the two containing lines. EQUAL ARCS. See ARCS. EQUAL CIRCLES, are those whose diameters are equal. EQUAL CURVATURES, are such as have the same, or equal radii of curvature. See CURVATURE and CURVE. EQUAL FIGURES, are those whose areas are equal, whether the figures be similar or not. EQUAL SOLIDS, are those which comprehend, or contain as much as the other, or whose solidities or capacities are equaL ' EQUIANGULAR FIGURES, such as have equal angles. EQUIDISTANT STRAIGHT LINES, are a series of parallels with equal intervals. EQUIDISTANT SOLIDS, are those whose intervals are termi- nated by parallel planes, at equal distances on the corres- ponding sides, comparing that of any two adjoining solids, with that of any other two adjoining solids. EQUILATERAL (from cequus, equal, and latus, a side) having equal sides. EQUILATERAL FIGURE, that which has all its sides equal. EQUILATERAL HYPERBOLA, that in which the asymptotes are at right angles to each other. EQUILIBRIUM, in mechanics, the equality of forces in opposite directions, so that they mutually balance each other ; eqmpmse. ERGASTULUM, among the ancients, a house of correc- tion, or workhouse, where slaves, by the private authority of their masters, were confined and kept at hard labour for some offence. It was likewise called sophrom'sterium. ESCAPE, a concave quadrantal moulding used to join two parallel members of different projections, as the shaft of a column with the fillet at its foot and junction with the capital. ESCUTC HEON, a shield charged with armorial bearings. Decorations of this kind were much used in the later periods of Gothic architecture, carved on bosses, dripstones, spandrels, 8m. The term is also applied to the metal plate on doors surrounding the key-hole, and to that from which the handle is suspended. Beautiful specimens, of excellent design and workmanship, are to be found in old mediaeval buildings. ESCURIAL, the palace or residence of the kings of Spain. The word originally signified a little village in Spain, situated in the kingdom of New Castile, twenty-two miles to the N. W. of Madrid. IIere king Philip built a stately monas- tery, of the order of St. Jerome, held by the Spaniards as one of the wonders of the world. It was begun in 1557, and finished in about 22 years, at the expense of 6,000,000 of E TR 390 ETR piastres. The plan of the work resembles a gridiron, in memory of St. Quintin, who suffered martyrdom with that instrument. The king and queen had their apartments there, the other parts were possessed by the monks. The length of this superb palace is an oblong 740 by 580 Spanish feet, besides 460, for what may be termed the handle of the gridiron. The height of the roof is 60 feet, and every angle has a square tower 200 feet in height. The west front has 200 windows, and that of the east 366. The Escurial has a very fine church, crowned with a dome, which is 330 feet, supported by four rows of pillars, and paved with black marble ; containing 40 chapels, and 48 altars. To this church, Philip IV. annexed a beautiful mausoleum, called the Pantheon, or Rotunda, built on the plan of the temple of that name, at Rome. It is 36 feet in diameter, and incrusted with marble ; in which the kings and queens of Spain, who leave any posterity, are interred ; the rest being laid in another vault of the same church, together with the infants and other princes. ESTIMATE, a calculation of the expenses of a building, or other parts thereof, by measuring the drawings with a compass from a scale, and calculating the amount upon materials and workmanship. See BRICKWORK, CARPENTERS’ WORK, JOINERS' WORK, 8w. ESTIMATION, the act of estimating a building, See ESTIMATE. A quick mode of estimating, or rather guessing at the expense of a building, is, to throw the whole into cubic feet, as if all the parts within the walls and roof were really solid, and calculating the whole at a certain rate per cubic foot; but this is so different in different places, and even in different times in the same place, that no certain ratio can be established : but where things are finished in the same way, in the same place, and at the same time, it frequently comes nearer to the truth than many real estimates, which are accepted far below value, in order to obtain the work. Though estimates sometimes come very near each other, yet the difference at other times is so preposterous, as to be one- fourth, or one-third of the whole amount, either owing to articles being overlooked, or to a difference of rates, or both. ESTRADE (a French term, signifying a public road or highway) in building, a little elevation of the floor of a room, frequently encompassed with an alcove or rail, for receiving a bed; or sometimes, as in Turkey, it is only covered with fine carpets, for the accommodation of visitors of distinction. ETRUSCAN ARCHITECTURE. The method of build- ing practised by the ancient inhabitants of Etruria; from which it is supposed many of the peculiarities of Roman architecture took their rise, and the Tuscan order was bor- rowed. The origin and history of this people is involved in obscurity, as is also, to a great extent, their architecture. They seem to have been a mixed race, composed of Siculi or Umbri, of Pelasgi, and of a third race, of Lydian extraction, and to have attained to considerable eminence in the scale of nations, both in power and civilization. Although they had brought the arts to a great degree of perfection, we had, until recently, but little evidence of the fact ; and, as regards their architecture, examples are still so scanty, as to atford us no precise notion of its character. We have no remains of temples, or other buildings of the kind ; all such informa- tion is to be derived solely from their hypogaei or sepulchres, and the representation of buildings, to be found on the vari— ous utensils discovered therein. The remains above ground consist almost solely of ruins of walls surrounding the different cities, which remind us of the Cycloptean erections at Tiryus and Mycenar, consisting, as they do, of lofty heaps of stones of enormous size, fitted together in a compact form, but without either cramps or cement. Ruins of this nature exist at Cortona, Volterra, F iesol, &c., in the first of which are some stones more than twenty-two Roman feet in length, and about five or six feet in height. The walls of Volterra are of a similar description. In the earliest examples, the stones are of an irregular polygonal shape, and in building were so laid as to have all their sides in close contact with the surrounding stones ; remains of this kind of work are to be found at Cora near Velletri. Generally speaking, the stones were of rectangular form, and of various sizes, disposed in horizontal courses. There is at Volterra a gateway, called the Gate of Hercules, which has a fine arch composed of nineteen large stones. This leads us to remark, that the origin of the arch is very generally ascribed to Etruria, from whence it is said to have found its way into Rome. Be this as it may, the Etrurians were certainly aware of its princi- ples, specimens of true arches and vaulting having been found in the remains, some of which are probably of early date. In a tomb at Ceroetri is a wall carried up somewhat after the shape of a Gothic arch, gradually converging towards the top, but not meeting at the apex, a square channel being left between the two sides of the arch, which is covered over with a block of nenfro. This, however, is not a true arch, but is similar to those to be found in Egypt and Greece, the building to which it belongs is on all hands allowed to be of very great antiquity. From the descriptions of Etruscan temples given us byVitru- vius, we learn that they were of an oblong form, the length being occupied by three chapels, of which the central one was the principal. The facades were similar to those of Greece, adorned with columns, pediments, &c., and the latter with sculptures in terra cotta. From the same author we likewise , learn, that their private houses were buildings of some import- ance, having external porticos and vestibules like those of Rome; indeed, it is supposed that the atrium was borrowed from them by the Romans. Amongst other structures for which the Etru- rians were eminent, are their tunnels, canals, and sewers, for the purposes of drainage and irrigation ; roads, fortifications, and other works of an equally useful character. Remains of a cloaca have been discovered at Tarquinii, in which the arch is employed, and which is altogether similar to that at Rome; and at Volaterra are the ruins of a subterranean reservoir, 24 Roman feet high, 56 long, and 39 broad. We have now only to notice the sepulchral buildings; which form by far the principal portion of the remains, and are found in great numbers, fresh ones being constantly opened at the present day. They seem to have been equally as numerous as the cities, and it would appear to have been an universal rule, that each city should have a place of burial for its dead in its immediate vicinity. To such an extent is this the case, that a modern writer lays it down as an axiom, that wherever there stood an ancient town, there you will find a cemetery; and wherever you find a cemetery, there will have stood likewise an ancient city. These sepulchres are, however, not all alike, their forms and situation varying according to the geographical, geological, and other charac- teristics of the site ; in some cases they are cut out of cliffs below the city wall; at others out of more yielding soil, and, in cases where requisite, lined with masonry on the inside. Besides these excavated sepulchres, we have some of a more primitive and less imposing character, being nothing better than graves sunk a few feet below the surface, and covered with unhewn masses of stone. They are very similar to the Druidical cromlechs; which fact would intimate some con- nection between the Celts and Etruscans. Again, we find tumuli, another form of sepulchral monument, which is com- mon to all parts of the world. ETR 391 ETR Amongst the cemeteries which have been explored, that at Vulci is one of the more important, and this, like many others, was discovered by mere chance, and was found to contain a vast number of antiques of various kinds. Those of Norchia and Castel d’Asso, the facades of which are covered with sculpture, were discovered in 1810; those at Bomarzo and Orte from 1830 to 1837. Of still later date are the dis- coveries of Savona by Mr. Ainslie, and of several others by Mr. Dennis, who'has published a very interesting work upon the subject. There seems to be no scarcity of such monu- ments, for new discoveries are being brought to light every year, and would lead_ us to suppose that vast tracts of country were completely undermined by them. The cemeteries vary in size, some of them being of very great extent, and laid out like a city in streets and squares. Each has its peculiar kind of tomb, the most simple of which consist of mere coni- cal pits about eight or nine feet in depth, and six in diameter. Next to these come the tombs, with a simple doorway open- ing in the side of the cliff, and leading into a small vestibule about five feet square, with a shaft carried up from the roof to the ground above, the opening of which is frequently covered over with a large stone. The vestibule gives access to the tomb, which is an apartment from twelve to twenty feet square, cut out of the rock, and supported in the centre by a low massive quadrangular pillar, or in larger tombs by four or more similar piers, as is shown in Inghirami’s plates. Sometimes the tomb is divided into two parts by a thick wall cut out of the rock, which forms a means of support in place of the pillars. In the side-walls of the tombs, and sometimes in the piers and partition walls, are two or more tiers of long horizontal niches in which the bodies were placed. Tombs of this kind exist near Corneto, Ferenti, and Cervetri. Cemeteries of more imposing character are to be seen at Castel d’Asso, and the places to which we have above referred; of the former we give the following description from a popular work of the day. “At Castel d’Asso the tombs rise upon each side of a narrow glen, facing each other like the houses in a street. Each tomb being detached, and the cliffs in which they are hollowed being hewn to a smooth surface, and formed into square architectural facades, with bold cornices and mouldings in high relief, they bear a strong resemblance to dwelling-houses, their facades extending the whole height of the cliffs, . which in some places rise as high as thirty feet. In the centre of each facade is a rod-moulding, describing the outline of a door, in many cases having panels recessed one within the other. This, however, is but the false semblance of an entrance, the real one being in the lower part of the clifl“, which having been left to project when the facade was smoothed down, has been hollowed into a kind of small vaulted antechamber, open in front. The form of these monuments, as well as of the false door in the facade, tapers upwards, and the front recedes slightly from the perpendicular. Along the top of the facade runs a massive horizontal cornice, but receding from the plane of the facade. On many of the tombs there are inscriptions, some of which are still legible, graven deep in the smooth surface of the rock above the simulated doorway. On the inner wall of the little entrance-chamber, and immedi- ately below the one in the facade, is a second false door, moulded like the former, but with a niche in the centre; and directly below this again is the real door leading into the sepulchral chambers, which, neither in grandeur of dimensions, nor ele- gance of details, answer to the external appearance of the tombs. They are quadrilateral, of various sizes, and rudely hollowed in the rock, having a flat or slightly-vaulted ceiling and ledges of rock against the wall for the support of sarco- phagi. In some cases the sarcophagi have been sunk in the rock in two rows, side by side, with a narrow passage between them, and seem to have been originally covered over with tiles. In the interstices, which separate the monu- mental facades, there are in many cases flights of steps out in the rock, and leading to the plain above." Tombs of a more decorative character exist at Norchia, adorned with pediments filled with sculpture, and Doric friezes, and has-reliefs on the inner walls of the portico. The interiors, however, are of similar character to those at Castel d’Asso. At Bieda, are tiers of tombs hewn in terraces one above the other, and connected by flights of steps cut in the rock. Here also another peculiarity is presented, the tombs standing out fibm the rock completely isolated, and of similar form to dwelling-houses, having roofs sloping down on either side with overhanging eaves at the gable. The internal arrangement likewise bears a very great resemblance to that of dwelling-houses. The tombs near Cervetri, opened in 1836, were originally covered with a large conical mound, and contain two apart- ments, an inner and outer one, separated by a partition, the latter being somewhat the largest, and the length of the two together measuring about 60 feet. On each side of the first chamber is a small cell cut out of the rock, the chamber itself being lined with masonry, and roofed over with a kind of Gothic vault, which springs at about three feet from the ground. Of this vault we have spoken above. A curious range of sepulchres has been discovered at Chiusi, which, from the winding passages which lead from one tomb to another, presents the idea of a labyrinth, and caused it at one time to be considered a portion of the tomb of Porsenna, a description of which is given by Varro. The following account is taken from the publication before referred to :—“ The tombs to which we allude, are excavated in the conical crest of a broad hill, surrounded by a fosse about three feet wide, and lined on the inner side with large blocks of travertine, which thus form a wall measuring about 855 feet, this being the circumference of the base of the enclosed tumulus. The chief sepulchres open from the encircling wall; the largest, a circular chamber facing the south, and supported in the centre by a huge pillar hewn in the rock, is connected with the fosse by a passage of about 50 feet in length. Towards the south-east is a group of smaller chambers ; close upon the fosse, and facing the south- west, is another, connected with the former by a passage about 45 feet long ; while other smaller ones again, are situated all around, facing all the points of the compass. “Above this tier is another, containing likewise several groups of chambers of different size and shape; and below the level of the fosse is a third tier, the chambers of which are, however, in a very ruinous state. Opening from the circular chamber facing the south, is a narrow passage, which winds by many a circuitous route towards the western group of chambers, and then turning again to the south, branches out into many side—passages. These passages were at first thought to form a regularly planned labyrinth, but their lowness being such as barely to allow a man to creep through on all-fours, the irregularity of their level, and the circumstance of the passage opening into the western group of chambers, breaking through one of the stone benches with which the walls of the chamber are lined, and on which the dead reclined, have subsequently led to the abandonment of this opinion, and of the idea of this being the site of the far-famed tomb of Porsenna.” \Ve must not omit to mention that colour was used in these tombs as a means of decoration. At Tarquinii, they are all painted, but there is one, the Grotta Querciola, which in the design and execution of the pictures, surpasses all the others. EXC 392 EXC The walls are entirely covered with paintings illustrative of the social manners of the Etrurians, the colours of which, though now somewhat dim, must have been originally splendid. In the Grotta del Triclinio, hard by, the colours have retained their brilliancy, and the effect. is described as perfectly dazzling by those who have beheld them in a bright light. The Etrurians do not seem to have been a people of any great native taste, and are not to be compared with the Greeks in this respect ; they preferred utility to beauty, and convenience to decoration. Some assert that all that is really beautiful in their monuments, emanates solely from Greece; but this we cannot suppose; they wefe destitute indeed of the creative imagination of the Greeks, and probably borrowed very largely from them, but at the same time we cannot . suppose them to have been entirely devoid of originality. For further information on this subject, we would refer ‘ to Michali and Inghirami, as also to the recent work of 1‘ Mr. Dennis on the Cities and Cemeteries of Etruria. See ; ROMAN ARCHITECTURE. EUANTHI COLOURS, in painting, a term used by the Greeks, to express what the Romans called the floridi colores, or such as had remarkable brightness : the duller and coarser colours, the Romans called austen' colores, and the Greeks batltycz'. Of the first sort were Cinnabar, lapis arminus, lchrysocolla, minium, indigo, purpurissa, according to the ; Romans; but the Greeks, as we find by Dioscorides, made 1 Cinnabar one of the austere colours. EVOLVENT (from the Latin evolo, to unfold) in geo- . metry, the curve resulting from the evolution of a curve, ‘ in contradistinction to the evolute, which is the curve sup- posed to be opened or evolved. EVOLUTE, or EVOLUTA, in the higher geometry, 3. curve 3 first proposed by Huygens, and much studied by the later 1 mathematicians: suppose a string, or flexible line, he un- . wound, so that the part unwound may be kept straight and in the plane of the curve, the extremity will describe a new I curve, of which the first turn is the evolute. The radius of the evolute, is the part of the thread con- tained between any point where it is tangent to the evolute, and the corresponding point, where it terminates in the new curve. Every curve may therefore be considered as the evolution of another. EURYTHMY, (from the Greek aiipveluog, harmony,) a certain majesty or elegance in the composition of the different parts of a building. The word is Greek, and signifies literally a consonance or fine agreement ; or, as we call it, harmony, of all the parts: it is compounded of ev, well, and pvdpog, rytltmus, cadence, or agreement of numbers, sounds, or the like. EUSTYLE, (from the Greek, 51:, bene, well, and whey, column) a disposition of columns in which the intervals are exactly two diameters and a quarter. This intercolumnia- tion was most approved of by the ancients, as being a medium between the pycnostyle and areostyle. Vitruvius, lib. iii. chap. 2. observes, that the eustyle is the most approved of all the kinds of intercolumniation, and that it surpasses all the rest in conveniency, beauty, and strength. EXAGON, See HEXAGON. EXCAVATING MACHINES, for digging and removing earth in extensive excavations, have occupied the attention of many ingenious men, and various machines for the purpose have been proposed and tried with different degrees of success. The great difficulty seems to consist in adapting any peculiar arrangement of mechanism which shall be capable of digging into the various sorts of earth. Were it only to operate upon a uniform mass, the task would be of comparatively easy accomplishment. Amongst others who have devoted much time and capital in the attempt to overcome these difficulties, Mr. G. V. Palmer applied himself to the construction of machines of this kind. In 1830 he took out a patent “for a machine to cut and excavate earth.” This invention is designed, by the applica- tion of steam-power, to loosen, dig up, and remove into a cart, earth from a canal or other cavity, and to move itself forwards as the excavation proceeds. In principle, its leading arrange- ment resembles the dredging-machines employed in clearing the beds of rivers and harbours ; but it has several appurte- nances, such as picks, for loosening the earth ; cutters, for separating it; and scrapers, for filling it into the scoops or elevators ; the latter convey it into the cart by which it is carried away. The machine is mounted upon four wheels, and gradually moves forward upon a temporary railway, as the excavation proceeds. The moving power is applied to the axis of a fly-wheel, and to the same axis is fixed a drum or pulley, around which passes an endless pitched chain, giving motion to another drum or pulley, which revolves in bearings fixed to the upper ends of two long checks or supports. Around this second drum passes another endless ‘r chain, by which a third drum or pulley, of a quadrangular figure, is set in motion, and which turns on an axis in the lower ends of the long cheeks; to this last-mentioned chain are fastemi a series of earth-scoops, which are successively brought into operation in taking up the earth. So far, the machine resembles the common ballast-engine; ' of and projecting the earth are effected. we have now to describe how the several actions picking, digging, A third endless chain is actuated by the drum on the main ‘i axis, and gives motion to a spur-w‘cel; this spur-wheel , drives another toothed wheel attached to the fore~wheels of the carriage, and thus the carriage gradually advances. By an ingenious system of levers, connected to a crank on the main axis, a row of pick-axes, a row of cutters, and a row 3 of scraping-shovels, are alternately brought into action. “Then the pickers have descended and loosened a portion of earth, the cutters follow, and separate it from the mass, and this separated portion is immediately afterwards drawn for- wards by the scrapiug-shovels into the scoops, which, by the action of the machine, are brought into the required position on one of the sides of the revolving quadrangular drum; the filled scoops thence proceeding to the top of the machine by the revolution of the attached endless chain, discharge their contents into a cart or waggon to be conveyed away. The same gentleman patented another engine for this purpose in 1832. This consisted of an excavating cart and plough united, to be worked by horses or other power. The cart- wheels are made considerably wider than those in common use, and the interior portion of the ring of each wheel is made into a series of earth-boxes; these earth-boxes are made to open inwards, and also towards the centres of the wheels. Underneath the cart, immediately adjoining each wheel, is placed a plough, for raising and turning the earth into the boxes, as the cart is moved forwards ; the wheels at the same time turning round, bring up the earth, and deliver it into the body of the cart. When a sufficient load has been thus deposited in the cart, the ploughs are raised from the ground by means of a lever, and then the cart can be drawn in every respect as a common cart, to the place intended for the deposition of the excavated earth, where it is to be unloaded by withdrawng a pair of bolts, which allow the bottom of the cart to fold downwards sufficiently to permit the earth to escape. There are many circumstances where EXC 393 EXC the application of excavating machines of this kind might be employed to advantage, but though the use of them in the extensive excavations of railway works has been many times attempted, they have not been found to answer so well in practice as to bring them into general employment. EXCAVATION, (from the Latin em, out, and cavus, hollow) the act of hollowing or digging a cavity, particularly in the ground. The excavation for the foundation of a building, by the Italians called cavatz‘one, is settled by Palladio at a sixth part of the height of the building, unless there be cellars under ground, in which case he would have it somewhat more. But this proportion is vague, and contrary to experience and reason. Good firm gravel, clay, or rock, forms as good a foundation at a foot or 18 inches from the surface, as at any greater depth; while swampy or boggy land is not good at any depth. See DIGGING and FOUNDATION. EXCHANGE, a building where merchants resort to transact . business. The principal commercial cities of Europe and Ame- rica have edifices appropriated for this purpose, and the Bour- ses of Paris, Amsterdam, Antwerp, and other continental cities, and the Exchanges of London, Liverpool, New York,&c. are distinguished for their beauty and convenience. In London there are three buildings of this kind; the Corn Exchange— , the Coal Exchange—and the Exchange of London, par excel- J [67206, the Royal Exchange. The two first are appropriated to the particular branches of commerce indicated by their names, and are more especially resorted to by persons therein engaged ; the Royal Exchange is the general place of assem- bling, at a certain hour of the day, of the merchants and traders of London. Here meet together men from all parts of the world, and here are settled transactions of commerce of j a magnitude inconceivable by those unacquainted with the sub- f ject. ‘ phraseology, “to go on ’Change.” There are few merchants in the city but make it a rule to attend the Exchange daily, or, as it is termed in commercial We propose to give a brief description of each of these places of mercantile ren- dezvous. The CORN EXCHANGE is situated in Mark Lane, and consists, in fact, of two buildings adjoining each other, and known respectively as the Old and New Corn Exchange. Business, however, is carried on in both, and together they are considered as the “ Corn Exchange." The new building, as we have before observed, immediately adjoins the older one, which still continues to be made use of, and which may therefore with propriety be briefly described here, if only for the purpose of affording some kind of com- parison between the two. “ The lower part of the structure is an open colonnade, whose pillars are of the modern Doric kind, but the entablature has a plain frieze, and its architrave is singularly narrow for the order, or indeed for any order whatever. There are eight columns, with an iron palisading between them ; displaying, however, a very peculiar arrange- ment, four of them being placed in pairs, but in such manner, that, beginning to reckon from the south end, we find them placed thus : first, a pair of columns at that angle, then three single columns, then another pair, and at the north angle another single column, forming altogether five inter-columns, corresponding with which are as many windows in each of .he two stories forming the upper part of the building over the colonnade ; which are quite plain, with the exception of the centre one on the first floor, which, in addition to other dressings, has a pediment.” There is no wall behind these columns, and the space within is open to the street , forming a court rathér than a hall, the centre space of which is not covered by aroof. With this difl‘erence, it resembles the similar part of the plan in the 5 H new building, having, as that has, threeintercolumns at each end, and five on each side; and it further resembles it in the great depth of the ambulatory around it. The building, though making little pretension to architectural character, except what it derives from its columns and their arrange- ment, has, in its general effect, a degree of picturesqueness both unusual and pleasing, especially as there is a second range of columns between those in front and the area of the Exchange itself. The New Corn Exchange was erected in 1828, from the designs of Mr. G. Smith, the architect of St. Paul’s School, and exhibits a very tasteful and appropriate application of the Grecian Doric. In point of design, this facade merits investigation, because, whatever else may be alleged against it, no one can object to it, that it is either a direct copy, or an assemblage of copies, that is, of parts entirely borrowed from other buildings, without other novelty than what they derive from their combination with each other. The colonnade forming the centre, (which being an hexastyle in antis, gives the same number of intercolumns as an octostyle,) does not constitute a loggia, or even a mere corridor ; for, as may be seen by the plan, the space between the columns and the wall is occupied, except where the entrances occur, by a sunk area screened by the stylobate. This area being barely equal to one diameter, the colonnade is much shallower than usual, and therefore likely to be censured, on that account, by those who consider a certain depth of space behind the columns to be an indispensable requisite for their proper effect, and invariably demanded in all situations and under all circumstances. In the present instance, the very moderate distance at which the wall is placed behind the columns, occasions greater breadth of surface, as the light falls upon that as well as on the columns themselves ; which would not be the case were the wall so far back that the columns would relieve themselves entirely against the shadow of the parts beyond them. At the same time, the columns receive a greater portion of reflected light, and thus contrast more distinctly with the shadows which they cast on the wall itself, and which produce an agreeable variety and equipoise of light and shade, according to the sun’s elevation, when it shines on this (the west) side of the building. But that to which, more than anything else, this facade is indebted for its classical air and architectural beauty, is the entire absence of windows within the colonnade. Not only do such aper- tures—unless introduced very sparingly indeed—destroy repose, by frittering what requires to be preserved nearly an unbroken surface, but they show themselves in a situation where their serviceableness is greatly lessened. Besides which, the colonnade or portico itself seems misplaced, being overlooked by the rooms behind it. To return to the immediate object of our description; we may observe, that the wall is not entirely plain, it having slightly projecting antaa or pilasters corresponding with the columns, and the faces of those in the centre serve partly as a ground upon which the jambs of the large door are raised This door is a feature not only important for its size, but tasteful in design—bold and simple, yet at the same time carefully finished. In the frieze, wreaths composed of ears of corn are sub stituted for triglyphs; and even had they not elegance of form as well as novelty to recommend them, they would still have a propriety and significance which we rarely meet with in those similarly-shaped decorations of laurel transferred to modern buildings, from the entablature of the monument of Thrasyllus. EXC 394 EXC The cornice here given to the order is rendered less cold and scanty than usual by the addition of a cymatium above the corona, ornamented with lions’ heads, that slightly break its upper line. Much of the peculiar character arises from the unusually lofty blocking-course, surmounted in the centre by a. podium bearing the following inscriptionz—‘Corn Exchange, erected 1828, according to act of parliament, 7th George IV. Chap. 33.’ This podium is, in turn, sur— mounted by a piece of sculpture representing the royal arms, grouped with implements symbolical of agriculture. Thus the upper part of the front acquires considerable variety of outline, and somewhat of a pyramidal form, together with dis- tinctly marked individuality of character. Instead of being at all at variance with the style adopted, the part we are now considering is not only consistent with, but seems to give additional expression to all the rest; at the same time that it takes away from it that air of direct imitation which it‘is so difficult to avoid without endangering, if not destroy- ing, the classical physiognomy intended to be preserved. \Vhether, in his treatment of the wings, the architect has successfully overcome this last-mentioned difficulty, is what we have now to inquire. As far as regards the order itself, that is kept up with sufficient strictness, and the mode in which the antae are applied, deserves commendation. Had these been merely coupled, after the usual fashion, the effect would have been rather formal and monotonous; besides which, it might not improperly have been objected, that such duplication was at variance with the arrangement of the columns. But by compounding, instead of pairing them, and placing the broader anta at the outer angle, while the other is made to project slightly upon it, both a due expres- sion of strength and solidity is kept up, a certain degree of play and variety is obtained, although there appears to be nothing at all new in the idea itself, except that here the two united faces are of unequal breadth—an irregularity converted into a merit by its obvious propriety. “The windows, which entirely- occupy the space between the antae,rmay be considered as assuming the character of small loggias, whose intercolumns are filled in with sashes. 3 In style, therefore, they harmonize with the general design ‘ far better, perhaps, than anything else that could have been ‘ devised for the same purpose; the chief objection to be made in regard to them is, that somewhat less plainness—not to call it severity of style—would not have been amiss, and would have prevented the small antas of the windows from appearing a repetition of the larger ones on a diminished scale. “ The upper story of the wings, to which we now come, display more invention and decided novelty than any other part of the building ; and although exhibiting somewhat of unusual forms and combinations, the style here preserves its characteristic energy, boldness, and breadth. Although, too, the parts themselves are simple, they acquire much picturesque complexity from the lofty position in which the windows are placed, being thrown further back, owing to which the pedestals detach themselves with considerable projection. In addition to the variety thus produced, we have that arising from the attic itself, if it may so be termed, being both loftier than the pedestals, and narrower than the compartment of the front below ; from both which circumstances result great contrast and diversity of outline. “ The interior calls for very little description or remark, the walls being perfectly plain, and there being no other decoration of any kind than the columns, which are of very slender proportions, and have deep capitals, composed of ears cfwheat. Above the centre space within the columns, is a lantern with vertical lights; and those on each side have seven skylight compartments in their ceilings. The north wing contains a tavern and coffee-room, and the opening in the south wall of the other Wing communicates with the old Corn Exchange.”—Public Buildings'qf London. The COAL EXCHANGE is a new building erected in Thames- street, near the Custom House, and completed so lately as the month of November, 1849. The importance of the vast trade in that precious mineral to which Great Britain owes so much of her prosperity, may well demand that the merchants and others trading in coal, should have their own Exchange. The enormous extent of this trade can hardly be conceived, or its value in a pecuniary sense estimated “ In respect to its natural supply of coal,” says McCulloch, “Britain, among the nations, is most singularly favoured; much of the surface of the country conceals under it con- tinuous and thick beds of that valuable mineral, vastly more precious to us than would have been mines of the precious metals, like those of Peru and Mexico; for coal, since applied to the steam-engine, is really hoarded power, applicable to almost every purpose which human labour directed by ingenuity can accomplish. It is the possession of her coal- mines which has rendered Britain, in relation to the whole world, what a city is to the rural district which surrounds it—the producer and dispenser of the rich products of art and industry. Calling her coal-mines the coal~cellars of the great city, there is in them a supply which, at the present rate of expenditure, will last for 2,000 years at least; and therefore a provision which, as coming improvements in the arts of life will naturally effect economy of fuel, or substitu- tion of other means to effect similar purposes, may be regarded as inexhaustible.” The former Coal Exchange being quite unfit for the pur- poses required, and the inconvenience felt by the merchants ' frequenting it much complained of, an enlarged site was i purchased by the corporation of London, for the erection of a new Exchange. This site afforded a frontage next Lower Thames-street of 113 feet, and a similar frontage next St. Mary-at-Hill. The building is erected from the designs of Mr. Bunning, the architect to the corporation, and is so arranged as to give an increased width to the two thorough- fares above-named. It presents two distinct elevations, connected by a tower, placed within the re-entering angle formed by the two fronts. The facades of the building are of very simple, yet bold and effective design ; and, with the exception of the cornice, but few projections are introduced. The fronts in Thames- street and St. Mary-at-Hill, are respectively about 112 feet in width, by 61 feet in height. The unequal form of the plot of ground on which the Exchange stands, is skilfully masked at the corner by breaking the mass of building, and introducing the circular tower before mentioned. This tower is 109 feet high to the top of the gilded ball, and 22 feet in diameter at the lowest part, and is divided into three stories. The lowest story, containing the entrance-vestibule, is of the Roman-Doric style of architecture; and presents a striking peculiarity in the arrangement, to which we must advert. The wall of the tower not only contains the vestibule by which entrance to the hall or rotunda is attained, but serves also as a centre to flights of steps, which lead, on either hand, to a landing on the first story of the building. From this landing, a spiral staircase is carried up in the tower to the other stories. The first story is of the Ionic order, carrying an entablature, and is lighted by windows. The top story, 15 feet in diameter, is ornamented by pilasters, with windows between; the roof rising to a cone, and being crowned with a gilded ball. The front of the whole is faced with Portland tat ' EXC stone. Entering the rotunda, the attention of the visitor is immediately arrested by its beautiful effect, and extremely novel arrangement. It forms a circle of some 60 feet in diameter, and is crowned with a dome, or, in fact, double dome, as a lesser cupola rises from the eye of the great dome to the height of 74 feet from the floor. The dome rests on eight light piers, the space between each pier being divided by stancheons into three compartments. There are three galleries, and from these galleries, entrance is obtained to the numerous ofliices in the building. The galleries are peculiarly constructed, and entirely composed of iron, embel- lished with symbols of the coal trade. Iron, indeed, has been most extensively made use of: the stanchions, brackets, ribs, and eye of the dome, are all of iron, and above 300 tons have been used in the building in the several parts. Each rib, of which there are 32, is 42 feet 6 inches long, is cast in one length, and weighs on the average two tons. The arrangement of paterze in the stancheons, brackets, and soffits of galleries, is original and good. The ornament chiefly used is a cable, twisted about in various patterns, and the balustrade to the galleries is of loops of cable, broken at intervals by the introduction of the City arms. This rope- ornament has perhaps been used in too great profusion, for it is displayed on the stanchions, gallery-railings, soflits, and every place where it could possibly be introduced. The frame—work to the offices is of wood, and panelled with rough plate—glass. By this means, they receive light from the great dome of the hall. The dome itself is glazed with large pieces of ground plate-glass of great thickness, the glass of the small upper dome having an amber tint. The chief public offices surrounding the Rotunda are those appropriated to the officers of the corporation, whose business it is to collect the coal dues; the factors’ board-room, the weighers’ society, and the merchants’ and factors’, among whom Sir James Duke, lord-mayor of London at the time of the opening of the Coal Exchange, holds a very prominent pos1tion. The floor of the Rotunda is composed of inlaid woods, disposed in form of a mariner’s compass, within a border of Greek fret, and in its appearance is beautiful in the extreme. In its construction are employed upwards of 4,000 pieces of wood of various kinds, comprising black ebony, black oak, common and red English oak, wainscot, white holly, mahogany, American elm, red and white walnut, and mulberry. The whole of these materials have been prepared by Messrs. Davison and Symington’s patent process of seasoning woods, to which we have alluded under the word DESICCATION. The same desiccating process has been applied to the wood.- work throughout the building. The black oak introduced is part of an old tree which was discovered imbedded in the river Tyne, where it had unquestionably lain between four and five centuries. The mulberry wood, of which the blade of the dagger in the shield of the City-arms is composed, is made of a piece of a tree planted by Peter the Great, when he worked as a shipwright in Deptford dockyard. The coloured decorations of the Exchange are peculiarly characteristic, and the entrance vestibule, in particular, is ex- tremely rich and picturesque in its embellishments. Terminal figures, vases with fruit, arabesque foliage, &c.; all of the richest and most glowing colours, fill up the vault of the ceil- ing, through an aperture in which is seen that of the lan- tern, adorned with a figure of Plenty scattering riches, and surrounded by figurini. Over the entrance-doorway, within a sunk panel, are painted the City-arms, Within the Rotunda, the polychromatic decorations immediately arrest the eye. The range of panels at the base of the dome, and the piers V 395 ‘ EXC which carry the dome, are all fully and harmoniously deco‘ rated. Commencing with the piers in the lowest story :— It will be seen, that the Raffaelesque decorations are very rich in character. In each pier a scroll supports and encircles four compartments; the lowest are semi-circular panels, within which are painted symbolic figures of the principal coal-bearing rivers in England : the Thames, the Mersey, the Severn, the Trent, the Humber, the Aire, the Tyne, &c. Small oblong panels, with marine subjects, are a little above the symbolic figures just described; and above these again, within borders of flowers of every kind, are figures symbo- lical of Wisdom, Fortitude, Vigilance, Temperance, Perse- verance, VVatchfulness, Justice, and Faith. These figures are the most prominent objects in the decorations of the piers in the lower story, and in circles above them are painted groups of shells ; whilst at the top, in semi-circles correspond- ing with those at the base of the piers, snakes, lizards, and other reptiles, are introduced. In the first story, the leading feature in the arabesques is a series of Views of coal-mines, including the air-shaft at Wallsend, Percy Pit Main Colliery, Wallsend Colliery, Regent’s Pit Colliery, 8w. Groups of fruit and flowers are in small circles just above the views, and in oblong panels beneath the latter the series of nautical “ bits” is continued. At the base, in each pilaster, are repre- sentations of different specimens of Sigillaria—a fossil found in coal formations. In the second story, the largest panels contain figures of miners engaged in difi‘erent parts of their labours, but these figures we think are not so well executed as other portions of the decorations. Nautical subjects, clus- ters of fruit and flowers, are introduced among the arabesques. The third story contains, within oval panels, miners at work, picking the coal, &c.: flowers and small landscapes add to the richness and variety of the decorations on this floor ; and both in this and the lower, calamites, (fossils from the coal formations,) are depicted amongst the arabesques. The twenty-four panels at the springing of the dome, of which we have before spoken, have oval compartments painted in them, surrounded by a gracefully flowing border of extremely rich and varied design, being light ornaments on a dark ground. The spaces within the oval borders are coloured of a turquoise blue tint, on Which is painted a series of representations of different fossil plants met with in the coal formations. This portion of the decoration is extremely striking and appropriate; and, we need scarcely say, the representations of the plants are strictly correct. These were painted in encaustic by Mr. Sang, from the drawings of Mr. Melhado, (a pupil of the architect,) taken from spe- cimens in the British Museum. A staircase leads to the hypocaust, which was discovered in excavating for the foun- dation, a remnant of the time when the Romans ruled here. A visit to this will amply repay the lovers of antiquity, and its minute agreement with the details of such constructions given by Vitruvius, should be noticed. The artificers’ work generally were performed by Mr. Trego; the iron-work by Messrs. Dewer; and the wood- work was seasoned by Messrs. Davison and Symington's patent desiccating process. The floor of the merchants’ area was laid down by the first-named of these gentlemen, Mn. Davison. The cost of this Exchange was about £40,000. THE ROYAL EXCHANGE, in general, has been fortunate in finding historians, still the current descriptions are, for the most part, imperfect and incorrect, and utterly without the sanction of official authority. Like everything in the City, the existence of the Royal Exchange is owing to individual enterprise. This is the spirit and essence of commercial prosperity. The merchant. EXC is generally the architect of his own fortune; his pursuits necessarily bring him into Contact with his fellow-men ; and thus, while the principle of association obtains with him, and expresses itself in the guild and the corporation, in his own person he maintains a special individuality. To him who would indulge personalities, and portray characteristics, a visit to the City would afford many examples—some strange and odd enough, but all striking and strongly marked. In other pursuits of life there is more or less of a professional costume, which sinks the man in the oflicial ; but the mer- chant pleases himself, or acts upon early associations, in his dress and conduct. His success mostly depends, indeed, upon the personal. Gresham, the founder of the Royal Exchange, is an illustrious example of the truth of these remarks, and another instance of the great Works that may be accom- plished by the zeal, activity, and perseverance of an indi- vidual. To Sir Richard Gresham, however, father of the Sir Thomas Gresham, whose name has become a “household word” to the citizens of London, the merchants of this great metropolis are indebted for the first serious attempt to found an Exchange. Before his time, the merchants met together in the open air in Lombard-street, exposed to the many inconveniences of such a place of assembling. .In the reign of Queen Elizabeth, Sir Thomas Gresham, who determined to carry into effect what his father had been unable to do, proposed to the Corporation, in 1564, “That, if the City would give him a piece of ground in a commodious spot, he would erect an Exchange at his own expense, with large and covered walks, wherein the merchants and traders might daily assemble, and transact business at all seasons, without interruption from the weather, or impediments of any kind.” This offer was accepted, and the new building, when com- pleted, was visited by the Queen, who “caused the same to be proclaimed by sound of trumpet, the Royall Exchange, and so to be called from thenceforth, and not otherwise.” Sir Thomas Gresham, who died in November, 1579, bequeathed the whole of this edifice, and its various appur- tenances, after the death of his wife, “jointly for ever to the Corporation of London and the Company of Mercers,” upon trust for various purposes. The fabric erected by Gresham was almost entirely destroyed by the great fire of London in 1666. Measures for the erection of a new building were, however, promptly taken, and in October 1667‘, King Charles II. laid the base of the column on the west side of the north entrance of the second Exchange; and, on the 31st of the same month, the first stone of the eastern column was laid by his brother, the Duke of York. The popular notion has always been that Sir Christopher Wren was the architect of this Exchange; this is not the fact, the architect was Edward Jerman, one of the surveyors to the City in 1666. As this is a matter on which much dif- ference of opinion has existed, we think the insertion of the following evidence from a letter in “ ' ‘he Builder,” will defini- tively settle the question. The writer states, that the extracts we have given below, were taken from the records of the City, and of the Mercers’ Company, and from them are obtained the following facts, which leave no doubt whatever that Jerman, and not Wren, was the architect of the late Royal Exchange. “That on the 19th . . 1666, the commissioners appointed to the work, summoned to their assistance, Mr. Mills and Mr. Jerman, the City surveyors. Again at a joint com- mittee, held on the 25th April, 1667, the following minute is recorded :_—— “The committee, concluding it very necessary at this 396 EXC meeting, to make choyce of a surveyor for directing and overseeing the building of the Royall Exchange, and assisting them in carrying on that designe to the best advantage, as to substantiallnesse, ornament, and frugality ; and forasmuch as Mr. Mills, the City surveyor, hath declared that hee cannot perform that worke alone, and the committee being very sensible of the greate burthen of businesse lying upon him for the City all this time; and considering that Mr. Jerman is the most able knowne artist (besides him) that the City now hath: therefore the committee unanimously made choice of Mr. Jerman, to assist the committee in the agreeing for, ordering, and directing, of that worke ; and, having declared the same unto him, hee, after much reluctancy and unwilling- ness (objecting, it might bee thought an intrenchment upon Mr. Mills his right,) at length accepted, being assured first by the Lord Mayor and the committee, that itt was no intrench- ment, that this-wholle committee, at all times, would acquit him from any scandall in that behalfe; then the committee ordered the clerke to acquaint Mr. Jerman with all the pro- ceedinges of this committee about the said building.” After this appointment Mr. Mills's name does not occur again, and the works evidently proceeded with great rapidity, for they were finished within three years and a half from the period of J erman’s appointment. On the 9th December occurs the following entry. “ The committee considering that Mr. Jerman, who was chosen sur- veyor for rebuilding the Exchange in April last, hath not yet received any gratification for drawing drafts and directing the building; they therefore ordered that £50 shall be payed him upon account until further consideration of his merits.” These extracts, I think you will agree with me, prove that Edward German (or Ierman as sometimes spelt) was the sole architect. In these records Sir Christopher Wren is spoken of, under date of the 7th Jan., 1670, as “ Dr. \Vren, Surveyor- general of His Majesty’s workes.” The building erected by Jerman, was publicly opened for business on the 28th of September 1669, the expense of its construction having amounted to £80,000, which was defrayed in equal moieties by the City and the Mercers’ Company. This structure also was doomed to fall by the same element which had proved fatal to its predecessor, for on the night of the 10th of January, 1838, it was discovered to be on fire, and in the course of the night, though not entirely destroyed, was so much damaged, that for all purposes of usefulness the destruction may be said to have been complete. The architecture of the building thus destroyed has been variously estimated ; by some decried, by others praised; but probably it merited the extravagant praises of the one party as little as it deserved the severe criticism of the other. The four orders of the quadrangle were richly decorated, with the basements, arches of the walks, the cornices over them, the niches, statues, pillars, circular windows, entabla- ture, pediments, and balustrade, all in correct proportion and arrangement. Its principal front was towards Cornhill ; and on each side there were Corinthian demi-columns, supporting a compass pediment ; within each of which were niches con- taining statues of Charles I. and II. in Roman habits, by Bush- nell. W'ithin the quadrangle there were twenty-four niches in the intercolumns, with statues of English kings and queens, most of the kings before Charles II. being sculptured by ‘ Cibber. The centre of the area had for some time a statue of Charles II. by Grinlin Gibbons, which was subsequently displaced for one by Spileer, habited in the Roman style. In an obscure position under the piazza, the statue of Gresham, too, had its niche; and nigh to it, that of one, whose modesty would have been better content had his merit received no such acknowledgment—Sir John Bernard ; to whom, in his EXC 397 EXC lifetime, the memorial was erected as a mark of civic respect, but who could never bring himself to visit the walks afterwards. , . The destruction of this building having deprived the mer- chants of London, for the second time, of their great place of resort, they were obliged temporarily to assemble in the space attached to the Excise Office, in Old Broad Street. This was, of course, attended with much inconvenience to those accustomed to attend ’Change, and it became therefore a matter of pressing importance to remove that inconvenience by the erection of a new building, fitted in every respect for its purpose, and worthy the merchant-princes of the first metropolis in the world. In preparing to re-erect the Royal Exchange, many interests had to be considered—those of the Underwriters of Lloyd’s, the Royal Exchange Assurance Company, and the shopkeepers who had occupied the ground-floor. An act of parliament was also necessary ; this was applied for, and obtained. By this act, which received the royal assent on the 10th of August, 1838, the Joint Gresham Committee were empowered to purchase and remove all the buildings to the eastward, extending nearly to Finch Lane, and to raise a sum of £150,000 upon the credit of the London Bridge Trust. After considerable delay, the Gresham Committee issued their advertisements for designs for the new building, but in doing so, unfortunately did not avoid the errors into which so many similarly-constituted public bodies have fallen, under similar circumstances. There is little doubt but that the Committee intended a fair and honest competition, but with not singular bad management, they so contrived matters, as ' to bring down on themselves a storm of indignation from all sides, and to disgust not only the competitors, but the public in general. The system pursued of late years in the management of archi- tectural competitions, has been attended with manifold evils, and fraught with gross and palpableinjustice to the profession. Has- tily and inconsiderately commenced, under the control of per- sons unfitted to sit in judgment on the various designs referred to their decision, they have in too many instances been attended by results, as injurious to the best interests of art, as unfair and unjust to its professors. In making these remarks, it is not intended to attack the principles upon which competitions are based; properly con- ducted, their tendency is unquestionably, not only to call out the talent and genius of the experienced artist, but to rouse a spirit of emulation in the young professor, as an assistance in encouraging rising merit, which without such a, stimulus might possibly remain undeveloped, or, without such a means of exercise, unknown and unappreciated. There may be many advantages attending architectural competitions, but there is so total a want of security, under the operation of the present defective system, so general an impression existing, whether justly or not, that fairness and impartiality in the decisions cannot always be relied upon, that the great body of the profession hold themselves aloof from entering an arena where fair play is, to say'the least, doubtful. The competition for the Royal Exchange, it is to be lamented, afforded another proof, if proof were wanting, of ' the truth of these observations. It is not our purpose to enter on a discussion of the merits of a controversy which filled many pages of the periodicals more especially devoted to recording matters connected with architecture and building, but we think we cannot pass to a description of the New Exchange, without slightly noticing the manner in which the design for it was selected, or its architect appointed. The folloning are extracts from the— 5 I “ Resolutions of the Gresham Committee, as to Instructions to the Architects. “ 1. That architects be invited to offer designs for the re- building of the Royal Exchange, in general competition, and that premiums be offered for three designs adjudged by the Committee to be the best. “ 3. That the new building be of the Grecian, Roman, or Italian style of architecture, having each front of stone of a hard and durable quality. “6. That a specification be required to accompany each design, giving a general description of the building, and such other information as cannot be clearly shown on the drawings, stating also what stone, or other material, are proposed for use in the different parts of the building, and specifying par- ticularly the estimated expense of carrying the designs into execution in the most substantial and complete manner in every respect for occupation, the expense not to exceed £150,000. “10. That for the design for which the Committee shall award the first premium, the sum of £300 shall be given; that for the second design the sum of 200; and for the third the sum of £100. The successful competitor, to whom the first premium is awarded, shall not be considered as having necessarily a claim to be entrusted with the execu- tion of the work; but if not so employed, and his designs are carried into execution, a further sum of £500 shall be paid to him—the Committee retaining possession of all the drawings for which the premiums have been given. “ 11. That if reasonable doubts should arise in the minds of the Committee as to the practicability of carrying into execution the successful design for the amount of the esti- mated expense of the building, the Committee shall be at liberty to call upon the party to give sufficient and satisfac- tory proof of the accuracy of the calculations, and to with- hold the premium, and reject the designs, unless such proof be furnished.” After issuing these “Instructions,” the Committee appointed three architects—Sir Robert Smirke, Mr. Gwilt, and Mr. Hardwick, to examine and advise on the designs which might be sent in. Above fifty competitors appearedyand the above gentlemen, after due examination, made a. report to the Committee, from which we extract the following passages. “ 1n the first class, those that we think may be executed for £150,000, we beg to report as follows :— First......... ............... No 36 Second ......... .............. . ..... ,, 43 Third ..... . ................... ,, 37 Fourth ......... . ...... . ....... . ....... . ,, 33 Fifth.... ............. .. ........ .. ....... ,, “ In the second class, or that in which we consider the cost would vastly exceed the sum of £150,000, equal impracti- cabilities of execution with those of the first class are to be found ; and, notwithstanding the very great talent they exhi- bit, there are circumstances of inconvenience and unsuitable- ness which would bring them, as we conceive, into the pre- dicament of being unadvisable for adoption. We wish it, therefore, to be understood, that we report on them respec- tively as the works of very clever artists, who have produced pieces of composition in which, besides the circumstances above-mentioned, stability arising from solid bearings for upper apartments, and other essential matters, have been sacrificed to grand architectural features. “ The designs in the second class, in our estimation of their order or merit, are as follows :— . FirstNo 50 Second ..... . ,, 46 Third . ,, 27 EXC 398 “ We again venture to state to the Committee the difiicul- ties which have attended the making of the report herewith submitted, and which, but for the unanimous decision at which we have arrived, we confess, might have left doubts in our minds, if our view had not been confined by the Com- mittee to the expenditure of a given sum.” On receiving this report, the Joint Committee met at Mer- cers’ Hall on Friday, the 18th October, to consider the report, and again inspect the designs, and came to the follow- ing resolutions :— “ Resolved,—That the premiums be awarded to the archi- tects who have produced the plans numbered as under— N0. 36 the first premium £300 ,, 43 the second “ . .............. £200 ,, 37 the third “ ............ £100 being those reported by the architects as the three best designs. “ And it was resolved, that Sir R. Smirke, and I. Gwilt, and P. Hardwick, Esqrs., having stated in their report upon the respective merits of the plans selected by them, that they cannot recommend any one to be carried into execution, this Committee doth request them to take the 1st, 2nd, and 3rd plans, as selected by them, into consideration, and prepare a plan and specification for a new Royal Exchange, such as in their judgment should be carried into execution, having reference, at the same time, to the printed instructions issued by this Committee to the architects.” The following were the architects to whom the premiums were adjudged. No. 36, £300, to Mr. William Grellier, district surveyor, 20, Wormwood-street. No. 43, £200, to M. Alexis De Chateauneuff, of Ham— burgh; and Mr. Arthur Mee, of Carlton Chambers. N0. 37, £100, to Mr. Sydney Smirke, of Carlton Chambers. The architects of the remaining designs of the first class. No. 33, Messrs. Wyatt and Brandon. ,, 57, Mr. Pennethorne. The architects of the second-glass designs, which were con- sidered too expensive. No. 50, Mr. T. L. Donaldson. ,, 46, Mr. Richardson. ,, 27, Mr. David Mocatta. The next step taken by the Committee was to appoint Mr. George Smith, the City-surveyor, and Mr. Tite, to inquire into the eligibility of some one of the designs selected by the umpires for the premiums. Mr. Tite, how— ever, refused to act, and the onus devolved on Mr. Smith alone. This gentleman submitted a report to the Com- mittee, in which he advised the rejection of the whole of the designs; and the Committee, acting on this advice, without ceremony threw the supposed successful candi- dates overboard, and boldly selected six other architects, whom they requested to send in designs for the contemplated building. The gentlemen so honoured by the Committee were Sir R. Smirke, Mr. Barry, Mr. Gwilt, Mr. llardwick, Mr. Cockerell, and Mr. Tite, the whole of whom, excepting the two last, declined accepting the invitation, being doubtless influenced to such course by the bad faith observed to all parties by the Committee. What also added to the public dissatisfaction was, that rivalry or competition between Mr. Cockerell and Mr. Tite was considered out of the question, from their previous connection. Thus the whole matter eventually Settled down in Mr. Tite being selected finally to prepare the design for the new Royal Exchange. That design we shall now proceed to describe, as given by Mr. Tite himself, in his explanation to the Committee :— M—mm.w_..~». .__‘ income to be derived from the building. E X C Extent and Site. - The total length of the building is 293 feet 6 inches, from the columns of the portico on the west, to the pilasters at the east end ; the width of the portico is 89 feet 6 inches ; the extreme width at the east end, at the broadest part, is 175 feet, and the width through the centre, from north to south, is 144 feet. The building is placed in the centre between the south front of the Bank, and a mean line of the irregularities pre- sented by the houses on the south side of Cornhill ; the east and west fronts are at right angles to the centre line, and, of course, the angle formed by the intersection of the north and south fronts, with the east and west fronts, is the same ; by this means, the building, though not rectangular, is regu- lar in the plan. ' Arrangement. Gresham College occupies the north-west angle of the building on the principal story, and is entered from the north. The Royal Exchange Assurance occupies the south-west angle, and the space over the west end of the colonnade, on the one-pair floor, and is entered from the south side of the loggia, undenthe portico. The London Assurance occupies the greater part of the south front on the principal story, and is entered from the south. Lloyd’s fills up the remainder of the east and north fronts of the principal story, and is entered in three places, viz., from the east and the north - east corner, and from the north. There is a small additional staircase and entrance to the principal lecture-room of the Gresham College (which I pro- pose to use for the exit from the lectures only) and this opens into the loggia under the portico. The commercial room proposed to be attached to Lloyd’s, and which, in a letter from Mr. Barnes, of the 26th February, I am requested so to manage as that it might be appropriated for oflices, if not eventually required for the above purp05e, has been accordingly placed by me on the principal story on the north side. If not required by Lloyd’s, I should propose to convert this room into a double range of otlices, one lighted from the street, and the other lighted from the area of the Exchange, each office having a room over in a third floor ; the access to these rooms would be by a distinct stair- case and entrance on the north, for which a distinct shop must be taken. The mean width of this commercial room is 39 feet, and its length 96 feet ; allowing, therefore, for an 8 feet passage in the middle, it would provide for 12 sets of offices, each 16 feet by 15 feet. The shops and ofiices are very material features of any design for this building, for, under the 62nd section of the act for providing a site for the Royal Exchange, the Gresham Committee are bound to compensate any party holding a lease in any part of the old Royal Exchange, unless the owner or lessee is reinstated. As regards the offices, this would pro- bably only be the value of the difference between the reserved rent and the actual rent, and not a matter of much importance; but unless the valuable trades and occupations round the Exchange are reinstated, the question would become a. very important one, because it would involve the good-wills of the parties. The mere question of reinstate- ment, however, is not the only one ; for it is clear, the ‘ revenue to be obtained from the shops, after the expiration of the present leases, must form a very important item in any In order to meet these requirements, and still, I hope, in no way to injure the design, I have placed the shops or offices on a level with the EX‘C 399 EXC street, round the north, south, and east sides ; and, inasmuch as I found that in the old Royal Exchange there were shops in three of the entrances, and as I could very conveniently arrangc a few in the east entrance of my design, I have placed six there. Let the claims, however, arise as they may, with this plan now under discussion, there could be no diffi- culty in meeting them all, for the area of all the shops and offices of all descriptions, in the ground-floor of the Old Exchange, amounted to 8,106 feet only, whereas, in this plan, the shops and offices provided, exclusive of the part appropriated to Lloyd’s, to the Gresham College, the London Assurance, and the Royal Exchange Assurance, exceeds this quantity by 1,087 feet, the total being 9,217 feet. The increased value of all this, and the exact nature of the accommodation, will, however, be further explained under other heads of this descriptive particular. Accommodation. Gresham College—In considering this department of the building, I was placed in considerable difficulty, not only from the total absence of instructions, but because I found, as well amongst the committee as in society, very considerable differences of opinion on the subject. After much reflection, I have, however, arranged what I hope will be considered a complete establishment for most purposes, and it is as follows :—On the north side of the Exchange, about 45 feet from the west end, is an entrance with a small ball and staircase. In this hall a porter would be placed, who would prevent the admission of improper persons. The entrance-doorway is large, and over it is placed a shield containing the arms of Sir Thomas Gresham. This entrance and hall are also quite distinct, and, like all the other parts or distinct portions of the design, it is separated by party-walls. On the first landing of the staircase is a porter’s room, which would also serve for umbrellas, coats, or cloaks. ‘ On the one-pair, or principal floor, is a lecture-room or theatre, of a horse-shoe form, the dimensions being 46 feet 6 inches, by 36 feet. To this is added a library or lesser lecture-room, 25 feet by 24 feet; a lecturer’s or librarian’s room, 19 feet by 15 feet 6 inches; apparatus-rooms, 16 feet 3 inches by 11 feet; with a water-closet and washing-room ; and two rooms over the librarian’s, and apparatus-rooms for some resident servant. The theatre would seat 250 persons on the floor, and 200 more might be conveniently seated in the gallery. It is probable, however, that for many lectures or continuous courses, this might be too much, but for some it might be too little. I have, therefbre, placed the library at the back of the theatre, by which, in the latter case, the accommodation might be increased, or in the former it might be sufficient in itself for such purposes. The result, therefore, is this, that for an auditory of 40 or 50 persons, the library would be sufficient; beyond that number, and up to 450 persons, the theatre would be the proper place: if a larger number wereexpecteil, the partition dividing the library from the theatre might be removed, (as is shown in the plan) by sliding it into the wall, when, by removing the lecture-table a little further back, 50 persons more might be accommodated. Beyond this extent of 500 persons, it is probably undesirable to carry it further. If, however, I have erred altogether, and have provided too much, it is easy to diminish it; or if it is determined to abandon this site for this purpose, the space so complete and isolated would readily let by itself, or might be combined with the unappropriated offices in the north-west angle immediately under the theatre. It remains to be added, that I have also provided ample vault-room in the basement of this establishment, and a second staircase connected with the theatre, and only intended to be used on a crowded occasion, for the dismissal of so large an audience as 400 or 500 persons, and for a private approach or retreat for the lecturer. Royal Exchange Assurance.—This establishment in the old building occupied apartments in the mezzanine, and on the one-pair floor. The net area being 5,235 feet, exclusive of passages, staircases, water-closets, kitchen, and rooms in the roof. I have had many meetings with the governor on the subject, and at length I received, so late as the 4th instant, a list of the rooms, of which I have attached a copy to this description. The total area in this is 6,284 feet, but omitting the store- rooms and kitchen for the sake of comparison, the not quantity is 5,894 feet. My plan gives this so nearly, and the dimen- sions of the rooms also correspond so generally with the requirements, that I need not occupy the time of the Com- mittee with any further description ; but, in addition, I have added what appears to me obviously necessary, viz., strong rooms and cellars in the basement. As the heights of the floors of this part of the building differ in some respects from the general section, I beg to add them here, and they are as follows, viz. : The ground-floor is 2 feet 6 inches above the level of the floor of the Exchange; and 6 feet above the street; under this is a lower ground story, the height being 10 feet with vaults under. The ground-floor will be 13 feet high, the mezzanine 10 feet, the one-pair floor is 18 feet, except where there are rooms over, when this will be 13 feet. London Assurance—I attach a copy of the instructions received from this company to my letter of the 6th March, addressed to Mr. Barnes. The total quantity of space required is 5,553 feet, exclusive of waiting-rooms, water- closets, &c. ; as some of the rooms seemed extravagant in size, I have arranged them somewhat less, and the company express themselves satisfied with my dimensions, the total being 4,834 feet. ' Lloyd’s.—\Vith regard to this very important establish- ment, I beg a reference to my letter to Mr. Barnes, of the 6th instant, to which I attached a copy of the new instruc- tions forwarded by their architect. The total quantity of space occupied in the old Exchange by this company, exclu- sive of staircases, was 7,914 feet. The space now required is 13,781 feet, exclusive of passages, staircases, water-closets, urinals, &c.; but this includes the commercial room, which is 4,050 feet. The dimensions of the several apartments in my plan are very nearly consistent with their requirements, and the total result the same. The arrangement of the rooms is best understood by a reference to the plan of the one-pair floor, and I believe it to be quite in accordance with the wishes of the Committee. Shops—I propose that each shop shall have a cellar below, and, with very few exceptions, a mezzanine over. The average height of the shops will be 14 feet, the basement- floor 12 feet, and the mezzanine 10 feet. Each shop will be secured by party-walls, and roofed with iron beams and arches under the one-pair floor. The water-closets will be in the basements, there will be a separate flue in each shop, and room for the fire-places; and I propose that each shop and room shall be warmed by an open, or Arnott’s stove, of the same pattern. The staircase will be circular, and of cast iron. Staircases of this kind, though not much known here, have been exten- sively used in Paris, and are admirably adapted for such purposes. I have paid every attention to the mode of light EX C 400 EXC ing the deeper shops, and I'hope I have succeeded in obvia- ting all reasonable apprehension on that subject. The shops without mezzanines, are one in the south front, one in the north front, and four in the eastern entrance to the Exchange. In the area, in the latter case, they are left out, to allow of light being obtained over the shops to the back parts of the other premises. Exchange—The Exchange is entered from four arched openings in the centre of each side ; the form is a parallelo- gram, and the inner area exactly a double square. This form has many advantages, both in point of convenience and elegance over the old form, and is also better adapted to the shape of the ground. As to the level of the floor of the Exchange, I have heard many opinions; but it appears to me to be of the greatest importance, that it should be as nearly level with the street as possible. From the natural fall of the ground, however, which is quite gradual, but amounts to 3 feet 6 inches in the length of the building from east to west, it is impossible to avoid a few steps at the north, south, and west entrances. This is an advantage at the west end, as it gives heightand character to the facade or portico; the exact effect and extent of this fall of the ground is shown in my north and south elevations. In the shops the steps are avoided, because they can follow the natural inclination of the ground. Basement—Much of the basement (or vaults,) is occupied by the establishments over the respective divisions, and I have added some to the lesser shops, but there is still a large space which may be let off, as the basement of the old building was. I have lighted the basement by area gratings in the pavement of the Exchange, exactly as formerly. The public vaults are approached by two staircases, which are placed in the eastern entrance. The central area is proposed to be left without a basement ; it would be difficult to keep it dry, and I do not know any use to which it could be applied which would pay for the cost. Style of Arc/titecture. This is naturally one of the most important considerations in the design, and one in which I have most to regret the limited time I have had to consider this most extensive and difficult composition. It appears to me, that a building for essentially commercial purposes should present the character of grandeur, simplicity, and usefulness. In this way, the universally acknowledged good effect of the Bourse at Paris has been obtained. In that building the lines are simple and unbroken, and the large arched windows surrounding the walls behind the columns have all the character of shops or offices. The west front of the Exchange of London, as in that of Paris, must be the principal feature, the other sides being bounded by buildings. Another difficulty arises from the shape of the ground; because any tower placed to agree with the lines of the south front must disagree with the lines of the east and west fronts, which are in different planes ; and such an object, when seen from a distance, or from the area of the Exchange, would produce an effect that would be discordant and unarchitec- tural, because it would bring into distinct notice a fact which it should be the business of the architect to conceal. For a long time I contended with this difficulty, because I was anxious to place the tower or towers in the south front, but it was impossible to get over the irregularity ; it would, indeed, have been easy to have concealed this defect in the drawings, or have kept it out; of notice, but the result, when built, would only have ended, in myjudgment, in disappoint- ment and failure. For these reasons, and with these views, I have composed my design as it is now exhibited. I have placed a portico at the west end, and the tower at the east. The south and north fronts exhibit unbroken lines of entab- lature, with a repetition of arches of the same character for the shops, offices, and entrances. We are deficient in Eng- land, of specimens of architecture of this unbroken kind: were I to adduce instances, I should quote the National Gal- lery, as affording an illustration of the bad effect of broken and detached masses, and the Reform Club, of the excellent effect of continuous and unbroken ones. The portico would be very superior in dimensions to any in this country, and not very inferior to any in the world. The width, from outside to outside of the 8 columns, is 90 feet, and the height, from the ground to the apex of the pediment, is 74 feet 6 inches. The portico of St. Martin’s Church is 64 feet wide and 58 feet high ; that at the Post- Office 76 feet wide and 67 feet high ; and from these dimen- sions a fair comparison may be made of the relative size of the two porticos. The height of the order used in this edifice is 50 feet, and the height of the tower, to the top of the vane, is 170 feet. From the point of View prescribed by the instructions, the tower is not seen. Had I been at liberty to have removed the station further to the westward, as to Mansion-House— street, or the Poultry, the tower would have been seen over the portico, and the effect of the composition thereby greatly improved. The sections and view show the exact character of the interior of the Exchange, the lower story is a colon- nade of the Doric order, the columns are 34 inches in dia~ meter ; the upper order is Ionic. Specgfication of the nature of the work—The exami- nation of the foundations, which I ventured to suggest, has proved that the nature of the sub-soil is of the best kind for supporting a large building. At an average of fifteen feet from the surface, a very compact gravel is found. For the sake of perfect uniformity, I should excavate sufficiently for a few feet below this ; and by a uniform bed of concrete, of the thickness of six feet over the whole surface, a most certain and safe foundation would be made. The gravel is full of water, and therefore the drainage must be carefully considered. Your conditions require a general Specification, but, with- out going into full technicalities, I am at a loss to furnish a specification of any value. I intend everything to be exe- cuted in the best manner. All external work to be faced with Portland stone ; all the horizontal divisions that require it, for the purposes of security from fire, to be constructed with iron beams and brick arches ; and the ceiling and floor over the colonnade constructed in the same manner. The timber used to be all Baltic timber, English oak, or African teak. Everything to be sufficiently and completely finished in all respects. Sculpture—J have not introduced much sculpture into this design, because the estimate would not allow of it; and I have, therefore, aimed at a style which did not require it to any extent. The sculpture introduced as essential to the architecture, embraces the five panels in the attic of the south front, and the two figures at the west end. The panels in the south front are intended to represent Britannia, supported by the principal cities of the empire, receiving the represen- ~atatives and productions of the four quarters of the world; the two seated figures in the west front, are emblematical of Peace and Abundance. There are several shields of arms, which though not falling exactly under the head of sculpture, I think it desirable to mention, and they are as follows :—the escutcheons on the key-stones of the three great arches of the west front, are the arms of Queen Elizabeth, Charles the II., and Queen Victoria. These arms are repeated in the panels EXC 401 EXC of the attic at the east end. In the north and south fronts, on the keystones of the centre arches, the arms are those of the City, the Mercer’s Company, and Sir Thomas Gresham. Estimate. I estimate the cost of this edifice, as thus described, inclu- ding the sculpture, at the sum of £143,800. Income. I have estimated with great care the income to be derived from the various shops, offices, and public establishments, pro- posed in the several floors of the building, by comparing dimensions and other circumstances, with the previous lettings, and by the actual value derived from my own expe— rience ; and I am of opinion that the total net annual value, if let on lease, would amount to the sum of £8,718 per annum. In addition to this, if the space allotted to Lloyd’s commercial room on the north side, and that to the London Assurance on the south side, were arranged as offices, each set having two rooms, one over the other, as suggested in an early part of this statement, though the estimate would be increased £3,000, I have no doubt this annual income might be raised to the extent of £800 per annum, making a total income of £9,500 per annum. In the drawings themselves,I have carefully laboured to follow out the instructions under which I undertook this com- petition. The views are strictly confined to the points of view prescribed: in the colouring of the views themselves, and in the drawings of the adjoining buildings, 1 have laboured to be accurate, and to give as nearly as I could, the actual effect of this edifice, if it were constructed. I can- not but feel that a more elaborate style of architecture would have been productive of more picturesque effects, and it would have been easy to have produced them; but I have ventured to come to the conclusion, that nothing but plain grandeur and elegant simplicity is consistent, either with the means at the disposal of the Committee, the purposes and uses of this building, or its situation in the very heart of the City of London. \Ve have given at length Mr. Tite’s own description of the building, as affording the most perfect and complete expla- nation of every particular connected with it, and also as showing the many requirements he had to meet, and the various interests he had to provide for. It is due to him to say, that he has certainly succeeded in satisfying all parties, in the convenience of his arrangements for individual benefit, while he has added to the public buildings of London an edifice in every respect worthy the first community in the world. On one part of the design much discussion took place at the time, viz., whether the area of the new Exchange should or should not be an open court, as in the old building. In the instructions issued to the competing architects by the Gresham Committee, this was insisted on, and, as we are informed, in compliance with the general opinion of the merchants and bankers of London. lVith submission, how- ever, we are strongly inclined to believe that the merchants and the Gresham Committee might have left this matter, with benefit, to the discretion of the architects offering designs, with whom it would have remained to demonstrate the advantage or defects of either mode of construction, whether open or covered. It is worthy of remark that the Bourse at Paris, and at St. Petersburg, the Exchanges of Dublin and Glasgow, and almost all modern structures erected for a similar purpose, are, we believe, roofed in ; one advantage of which is, that the whole of the area is available, let the weather be as unfavourable as it may, consequently, the same superficial extent can accommodate a far greater number of persons than where it is only partially sheltered, and where a considerable 5K portion must frequently be altogether useless, as far as actual serviceableness is concerned. The present arrangement therefore is to be approved of only Where What is thus sacrificed, with regard to mere convenience and utility, is amply atoned for by what is gained as to architectural character and effect. We do not deny that a cortile, whether surrounded by columns or by arches, and whether partially or entirely so, is favourable to scenic effect and display, and, farther, admits of very great variety as to plan and design. This is suffi- ciently testified by examples in Italian buildings, Where cortiles frequently constitute the most striking and beautiful parts, generally picturesque and piquant, though not always unexceptionable in design. But then it does not exactly follow, that because a cortile is beautiful as such, it is eligible for a purpose requiring more than a sheltered corridor around the open part ; for, although that kind of shelter is sufficient for a place of passage to and fro, it certainly does not seem to be sufficient for one intended for the assemblage of a con- course of persons, not on particular occasions, when, in case of the weather proving unfavourable, the company may be protected from it by awnings provided for the emergency, but daily, throughout all seasons of the year. When a. place of the kind already exists, it may conveniently and properly enough be applied just as it is to the purpose of an Exchange; its inconvenience may, then, be put up with as unavoidable. But there is no qualifying circumstance, to reconcile us to a defect studiously adopted, voluntarily and with premeditation, to the exclusion not only of positive convenience, but likewise of originality of design. Either our climate is most unjustly reproaehed, not only by foreigners, but by ourselves, or it ought at once to have banished all idea of rebuilding the Royal Exchange upon the plan of the former one, as regards that very principal part of it where the merchants will daily assemble, and to which all the rest is to be considered as merely supplementary. Be it any improvement or not, all our lately built markets are floored with flagstone pavements, and covered in from the weather, shaded from the burning sun in summer, as well as sheltered from rain and snow in winter ; nor do we believe that either the occupiers of them, or their customers, at all regret the change which has taken place. Nevertheless, with instances of that kind before their eyes, not in the Metropolis alone, but at Liverpool, Newcastle, and other places, the merchants of London have decided that they are to meet for business as heretofore, within an area only partially and imperfectly protected from the weather. Even beneath the colonnades, they must be more or less exposed to wind and rain, and be inconvenienced by the throng of persons; whereas, by converting the central space into the part more particularly appropriated to the transaction of business, the sides, which might still be separated from it by colonnades, would be left free for persons passing in or out, without interruption to those engaged in business. There may possibly be contrary reasons for not adopt- ing a mode of building securing the advantages here pointed out by us; but they have not been brought forward by others, nor can we divine what they can be. Hardly can it be objected, that any plan of.the kind would destroy all peculiarity of character, by converting the Exchange itself into merely a spacious hall, lighted from above, which, how- ever it might be decorated, would, in its general effect, resemble any other public apartment of the same dimensions; because, although it would no longer be a cortile—an open space enclosed by facades of external architecture—it might be kept altogether different from anything we are accustomed to, , in interior architecture, and appropiately rendered suz‘ generis EXC 402 EXC It will appear a very singular pendent to the above obser- vations, that we should have to insert the following petition to the Gresham Committee, from the very parties to oblige Whom, this “ uncovered” area was insisted on. “‘ The undersigned Merchants of the City of London are of opinion, that, in the construction of the new Royal Exchange, sufficient attention has not been paid to the comfort of those who attend the same, and beg most respectfully to submit to the Gresham Committee the following alterations, which are necessary before they can assemble there without danger to their health and personal comfort. The alterations sug- gested are :—“ 1. That the area be covered in. 2. That some remedy be provided to remove the cold damp from the pavement. 3. That a remedy be also provided to protect them from the currents of air.” The above petition has been signed by Messrs. Barings, Rothschilds, Heath, Morris Prevost, Doxat and Co., Lemme and Co., and some hundreds of the first firms in the city. After much discussion in Committee, the clerk was directed to communicate to the memorialists :— “ That in the month of September, in the year 1838, before the Gresham Committee took any steps whatever as to the erection of a new building, they applied by circular to most of the leading merchants and brokers, requesting their opi- nion as to whether the new Exchange should be a covered hall, or partially open, as in the original Exchange of Mr. T. Gresham, and in the one recently destroyed; that besides, the Committee took every opportunity, by personal inquiry, of ascertaining the wishes of their fellow-citizens on the subject; that the result of the circular, and of these inquiries, was, that a large majority wished the Exchange to be partially open, as heretofore, alleging the great noise in the Bourse at Paris, and the necessity for ventilation of the most free kind, as their reasons for the decision; that in consequence of this determination, they directed a part of the merchants’ area to be left uncovered as before, but that, for greater shelter, they further directed that the covered space should be increased from one-half, (the proportion of the space covered in the late building,) to two-thirds; and that the architect of the present edifice had strictly followed out these instructions ; and, for these reasons, the Committee could not comply with the wishes of the merchants; that, with regard to currents of air, the Committee had directed such inner doors to be put up, at the north and south entrances, as might check the draughts, at the same time pro- viding that such doors should not interfere with the extensive uses of the area of the Exchange, as a thoroughfare to all the neighbouring streets, the Bank, the Stock Exchange, and other important public and private buildings of the neighbourhood.” \Ve have given the above, as apropos to the question of a roofed or unroofed area, thOugh this is hardly the proper place for a petition delivered some months after the Exchange had been opened for business. Such a petition, however, proves clearly the justice of the observations we, in common with the great body of the profession, have urged to the cen- tral space of the building having been left uncovered. To return from this apparent digression—After much con- sideration as to whether the material employed should be magnesian limestone, similar to that used for the Houses of Parliament, it was determined that the whole of the exterior of the building, with the exception of the socle or stylobate (which was to be of granite) should be Portland stone of the best quality. This point having been decided, the Gresham Committee at length found themselves in a position to enter on the contracts for the new structure. About fourteen of the principal builders were applied to, and sent in tenders ; and those of Messrs. Webb for the first contract, (the excavation and concrete foundation) ; and of Mr. J. J ack» son for the second (the super-structure),—were accepted. The first was for £8,000—the last for £115,000. In excavating the merchants’ area, (originally intended to have been left solid,) for the purpose of extending the base- ment beneath that part of the plan : a number of antiquities were discovered, beneath what was the west wall of the former building; in particular, the remains of some Roman structure were found, which proved, on examination, to have been built on a very large pit or pond, irregular in shape, but about 50 feet in length from north to south, 34 in breadth, and 13 in depth. This pit was filled with hardened mud, in which were immense quantities of bones of sheep, of bones and horns of Stags, also numerous fragments of the red Roman pottery, usually called Samian ware, pieces of glass, and glass vessels, broken lamps, &c., and several copper coins, two of the emperor Vespasian, the remainder of Domi- tian—all of which antiquities were, by the terms of the con- tract, reserved for the Gresham Committee. On Monday the 17th January, 1842, the first stone was laid by His Royal Highness Prince Albert, with much state and cere- mony, a full description of which appeared in the newspapers of the day; and the works then proceeded with such rapidity, that in three years from that date the new Royal Exchange was completed—a very brief space of time for such a work, especially considering that it consists entirely of stone. On Monday the 28th of October, 18-14, the Exchange was opened by Queen Victoria in person. The “pomp and circumstance” of such a ceremonial are not for a work like the present, they have been duly chronicled by those publications which record so faithfully and so minutely events like these : but the following observations, which appeared in one of the newspapers at the time, seem so pertinent to the subject, that we think their insertion here not inappropriate. “ The pre- sent ceremonial,” says the writer, “ will, in many things, resemble that which was presided over by the ‘ Virgin Queen ;’ for state and its Observances partake of the tradi- tional, and are transmitted down with comparatively slight changes. But in all else how different! “'hat an empire! and what a metropolis! How vast the increase in all that constitutes the strength of nations, in the England of Vic- toria, since it was the England of Elizabeth! The empire is one of many tongues and nations; the population of its chief city is counted, not by thousands, but by hundreds of thousands; and as for the commerce of the realm and city of Gresham’s royal mistress, it was, as compared with that of the England and London of to-day, but as the rivulet to the ocean ; its development has been as vast as that which could bring ‘Dodona’s forest from an acorn cup.’ Between the day on which a Queen of England passed through the Tem- ple-Gate to open the first Royal Exchange and the hour which will see another Queen of the same fair land pass along the same road on the same august errand—great has been the destiny of England among the nations of the world! At this point the mind naturally goes forward to the future, and asks itself the question, what will be the state of this ‘crowning city’ of the traffickers of the earth, when three centuries shall have passed over the now white walls, the fair chambers, and sculptured portico, of the new Exchange? \Vhat will be the condition of the empire, when the gene- ration that gazes on the pagcantry of to-day, shall—with many succeeding ones—be mingled with the dust? They are solemn questions; and, happily for us, can find no answm‘ from human intelligence. The misery of Adam, when the angel, in Milton's immortal epic, revealed to him the doom ot' the future race of man, is but a type of what would be. felt EXC 403 EXP by all, if the coming time were not, with infinite wisdom and mercy, hidden from our ken. The past we know ; the pre- sent we can govern ; for the future we can only hope, making our actions such as to render a cheerful hope justifiable. Let the spirit of commerce, then, when it takes up its new abode, work with the energy and activity that have always marked it. Above all, let it preserve that integrity and commercial honour which have been so long the pride of the English merchant, and then will it have done the best to secure a still further development of the wealth, extent, power, and numbers of that realm over which Elizabeth watched, and which Victoria now rules; queens who, differ— ing in much, yet resemble each other in the extent to which they have commanded the loyalty and affection of the people; and in this also—that the commercial activity of their respective ages received the countenance of both. In its reference to our history, the opening of the NEW ROYAL EXCHANGE by QUEEN VICTORIA, is one of the most interest- ing events of modern times.” We must not conclude our description of this magnificent building, without reference to the sculpture with which the new Royal Exchange has been adorned. That by Mr. Richard Westmacott, in the tympanum of the pediment at the west front, deserves the earliest and highest mention, both from its position and its merit. Allegorical in subject, it nevertheless avoids the objections to which such compositions are generally liable. It consists of seventeen figures, carved in compact limestone, and, with two exceptions, modelled as entire and detached figures. The centre figure, which is ten feet high, represents Commerce ; with her mural crown, her cornucopia, bee-hive, and other accessories. Her left hand holds the charter of the Exchange, her right rests on part of a ship ; two dolphins and a shell forming her pedestal. The groups on either side consist, on the right, of three British merchants in their civic robes—as lord-mayor, alderman, and common-councilman ; two Asiatics, a Hindoo, and a Moham- medan, in appropriate costume; a Greek bearing a jar; an Armenian scholar, and a Turkish merchant; and, on the left, of two British merchants examining some woven fabric shown to them by a. Persian; a Chinese; a sailor of the Levant; a negro; a British sailor cording a bale of cot- ton, &c.; a super-cargo, or factory agent. The opposite angles are filled with anchors, jars, packages, and, other nau- tical and commercial emblems. The arches of the upper story are decorated with the arms of various nations, accord- ing to the order determined at the congress of Vienna the arms of England occupying the centre of the eastern side. The sheltered walk for the merchants also has the ceiling and sides panelled, painted, and emblazoned with the arms of countries and monarchs; namely, Edward the Confessor, Edward 111., Elizabeth, and Charles II. In the south-east angle there is a statue of Queen Elizabeth, and in the south- west a statue of Charles II. It only remains now to speak of the statues of Queen Victoria inside the building, and of the Duke of Wellington without. The latter is a bronze equestrian figure, by Chantrcy, and was composed of the metal of the guns taken in battle, contributed by the government, and valued at £1,500. The cost of the statue itself was £900. It was com- pleted on the anniversary of “Taterloo, the 18th June, 18I4, when the inauguration took place, at which the King of Saxony, who was in England at the time, attended. The marble statue of the Queen, by Lough, in the centre of the merchants’ area, was not placed on its pedestal until the 27th of October, 1845. An interesting fact is recorded by historians respecting the statue of Gresham. During the raging of the great fire of 1666 : “ \Vhen the fire was entered,” writes the old chronicler, “how quickly did it run ro‘und the galleries, filling them with flames; then descending the stairs, compasseth the walks, giving forth flaming volleys, and filling the court with sheets of fire. By-and-by the kings fell all down on their faces, and the greater part of the stone building after them, the founder’s statue alone remaining.” It is a remarkable fact, that this statue was again saved in the fire of 1838. The gates of the Exchange are exceedingly handsome. They are made of wrought-iron, the decorations being cast- iron. In the centre of the gates, on either side, are the arms of the City of London, and of the Mercers’ Company, with the cipher of Sir Thomas Gresham, (T. G.,) very ingeniously introduced. In the ornamental heads of the gates, the rose, thistle, and shamrock appear entwined. After the publication of the first portion of this article, the following paragraphs appeared in The Times; and we think we cannot better conclude our account of the Exchanges of London, than by recording so high and so well-deserved a compliment, to the designer of the Coal Exchange:—-“ A piece of plate, weighing 222 ounces of silver, was presented to the City architect, for services which are sufficiently indicated by the inscription: ‘Presented to I. B. Banning, Esq., by the coal-factors and merchants of the City of London, as a testimonial of their admiration of his genius and judgment in the erection of the Coal Exchange, and of his urbanity throughout the progress of the structure ; which is not more approved of by those for whose use and convenience it was designed, than by the public at large, for its taste and ele- gance as a work of art. Anno Domino M.D.CCCL.’ The plate was presented by Mr. Harris, as the organ of the coal- factors, with an appropriate speech. In addition to this pleasing compliment to Mr. Running, the coal—factors and merchants have signed a declaration, for presentation to the Corporation of the City, of their satisfaction of all the accom- modations provided for them by means of the New Coal Exchange, which they attribute to a union of talent on the part of the architect, which has enabled him to produce an edifice which, whilst it embodies all the requirements of the coal—factors and merchants as men of business, is, at the same time, in design, taste, and judgment, the admiration of the numerous strangers who daily visit it, as one of the chief objects of interest and of art in the City of London.” EXEDRJE, (from the Greek eEeEpat, a parlour) among the ancients, places wherein the philosophers, sophists, and rhetors, held their conferences and disputes. They are supposed to have been recesses in the walls, or little chapels, answering to what we call chapters in the Cloisters of monks, or collegiate churches. Also applied to an apse or recess in a building, or to a projecting porch, in short, to any addition to a building. In the early Christian church, the term is applied to all the buildings within the consecrated enclosure which were detached from the church. Such were the baptisteries, vestries, diaconica, schools, libraries, and such like. EXENTRIC, or ECCENTRIC, (from the Latin eccentficus) in geometry, a term applied to two circles or spheres, in which, though in some measure the one is contained within the other, yet the two have not the same centre, and conse- quently their surfaces are not parallel. The word is opposed to concentric, where they are parallel, and have the same centre. EXOSTRA, in the ancient theatre, a place where such parts of the play were recited as were supposed to be acted )rivately in the house. EXPANSION, (from the Latin, expando) that degree of increment, which a body is susceptible of extending in one EXP 404 or more of its dimensions by heat. Bodies of every kind, as far as we are acquainted with them, are expanded in bulk by heat, and are contracted by cold; and to this law there are but few exceptions, which will be noticed in due time. The expansions, or the increments of bulk, are not exactly proportional to the increments of heat in the same body; nor are diflferent bodies expanded alike by the like elevation of temperature. Thus, if a quantity of water be increased one inch in bulk by the communication of ten degrees of heat, the communication of twice or thrice as much more heat will not cause it to expand two or three inches more. Also, if a rod of gold, and another similar rod of glass, be heated to the same degree, their increments of bulk, arising thereby, will not be equal, the gold expanding more than the glass. Of the three principal states of natural bodies, viz., solids, liquids, and elastic fluids, the solids are expanded least; the liquids are expanded more than the solids; but the elastic fluids are expanded a vast deal more than the liquids. The knowledge of the precise quantities of these expansions of bodies is of great use in philosophy, in mechanics, and in other scientific subjects; hence no pains have been spared by philosophers to investigate and ascertain them; various instruments have been contrived for that purpose ; innumer- able experiments have been instituted; and a great many useful results have been obtained. Of these results we shall now endeavour to give a regular and distinct account. The instruments which have been contrived for the pur- pose of measuring the expansions of solids arising from an elevation of temperature, are called pgrometers. The objects which must be had in View in the construction of pyrometers, are to form a steady frame, wherein solids of a certain length may be applied either successively, or several of them at the same time ; some contrivance by which those metallic bodies may be heated to any required degree ; and a mechanism capable of measuring the increase of bulk which is caused by the heat; and this may be accomplished by means of multiplying wheels, by levers, by screws, by a microscopical micrometer, or otherwise. Some of the first determinations of the expansion of bodies, that may be considered as being sufficiently accurate, were made by Mr. Ellicot, with a pyrometer of his contrivance. Mr. Ellicot determined the proportional expansions of seven metallic bodies by the same elevation of temperature. They are as follow :— Gold. Silver. Brass. Copper. Iron. Steel. Lead. 73. 103. 95. 89. 60. 56. 149. Mr. Smeaton contrived a much better pyrometer, and with it he determined the expansions of several solids. M. De Luc also contrived a pyrometer of a peculiar con- struction ; but Mr. Ramsden’s pyrometer is superior to any other contrivance of the kind. The following table shows, in parts of an inch, how much one foot’s lengthof difl‘erent substances is expanded by 180° of heat, Fahrenheit’s scale, between the freezing and the boiling points of water. To the first seven substances (which were examined in Mr. Ramsden’s most accurate pyrometer) there are added the expansions for a single degree of heat. The others were determined by Mr. Smeaton with his pyrometer. Fahrenheit’s Scale. W By 1° By 180° Standard brass scale, supposed to be Hamburg brass ..... 0.0001237 0.0222646 Englishplatebrass in form ofarod 0.0001262 0.0227136 English plate brass in form of a trough 0.0001263 0.0227386 E X P Fahrenheit’s Scale. By 10 By 180° Steel rod .................. ...... 0.0000763 0.0137368 Cast-iron prism ..................... 0.0000740 0.0133126 Glass tube ........................... 0.0000517 0.0093138 Solid glass rod ..................... 0.0000539 0.0096941 White glass barometer tube ..... . .................. 0.0100 Martial regulus of antimony ............... 0.0130 Blistered steel ....................................... 0.0138 Hard steel ................ . .................... 0.0147 Iron ..... ........... ............ 0.0151 Bismuth ............ ....... . ....................... .. 0.0167 Copper hammered ..... . ..................... . ........ 0.0204 Copper eight parts, with tin one part ......... 0.0218 Cast brass .................... ........... 0.0223 Brass sixteen parts, with tin one part ........ 0.0229 Brass wire .................... . ........................ 0.0232 Speculum metal ....................................... 0.0232 Spelter solder, viz., of brass two parts, and of zmc one ........... . ................................. 0.0247 Fine pewter ............. .. .............................. 0.0271 Grain tin .......... . ......................... . ........... 0.0298 Soft solder, viz., lead two parts, tin one ......... 0.0301 Zinc eight parts, with tin one, a little 11am- mered .................. . ......... .. ....... 0.0323 Lead ............ . ............................. . ........ 0.0344 Zinc or spelter ...... . ................................ 0.0353 Zinc hammered half an inch per foot ............ 0.0373 Iron, instead of being condensed into a smaller bulk, expands 111 its transition from a fluid into a solid state ; so 3 that a quantity of iron occupies more room in the solid form than it does in a fused state. Dr. \Vollaston, in order to form some estimate of the com- parative rate of expansion of platina and palladium, says, “ I riveted together two thin plates of platina and palladium, and observing that the compound plate, when heated, became concave on the side of the platina; I ascertained that the expansion of palladium is in some degree the greater of the two. By a similar mode of comparison I found that palla- dium expands considerably less than steel by heat.” P/u'l. Trans. for 1805. It must be remarked, with respect to the expansion of glass, that sometimes glass tubes are extended more than solid glass rods ; their dilatation, however, is not constant ; for tubes of different diameters, or of diti‘erent sorts of glass, l l are expanded diflerently by the application of like degrees of heat. “'ood is not much expanded longitudinally, that is, in the direction of its fibres, by heat; and this is particularly the case with deal and other straight-grained wood. Probably, upon the whole, the longitudinal expansion of wood is less ‘ than that of glass. It has been observed, tespecially by Dr. Rittenhouse, Trans. oft/re American Phil. Society) that very dry and seasoned wood, if not exposed to a verv high . or to a very low temperature, will expand in length pretty regularly; otherwise its expansion by heat, and its contrac- tion by cold, are very irregular: for they seem to depend - partly upon the heat, and partly upon the moisture, which the wood acquires in certain circumstances, and is deprived of in others. It is hardly necessary to mention, that the solids of the preceding table contract their dimensions by cooling, as much as they are expanded by heating; thus, for instance, if 21 yards length of any particular metallic body. by being heated 100 degress above the actual temperature of the atmosphere, be lengthened one-fiftieth part of an inch ; afterwards, when cooled down to the temperature of the EXP 405 EXP atmosphere, it will be found to have lost exactly that fiftieth part of an inch which it had acquired by heating. From the experiments hitherto made on the expansions of solids by heat, no correspondence has been observed between the expansions and the quantities of caloric they are capable of absorbing. The fusibility of metals seems to coincide with the dilatations ; platina, the least fusible of the metals, dilatcs the least; lead dilates most; and the most fusible glass is also the most dilatable. We may therefore conclude with M. Berthollet, that bodies are so much the more expan- sible, the less caloric they require, to change their consti- tution from solid to liquid, and from liquid to gases or vapours. * There is a substance which expands when heated, but does not contract when cooled ; and of this singular property, Mr. Wedgwood availed himself for the construction of his ingenious thermometer for measuring the highest degrees of heat ; viz., those degrees which exceed the scale of the mer- curial thermometer. The substance alluded to is the argil- laceous earth or clay, and it appears that the above-men- tioned property belongs, more or less, to argillaceous bodies of every kind. This property may at first sight appear to be an unaccountable exception from the general law : the diffi- culty, however, will vanish, if it be considered that bodies of the argillaceous genus contain a considerable quantity of water, and that the contraction of these bodies, when exposed to the action of a strong fire, is in a great measure due to the escape of the water, and hence they do not contract by sub- sequent cooling. EXPERIENCE, knowledge derived from trials, long use, practice, or a series of observations. Experience consists in the ideas suggested by what we have seen, read, or done: we reflect on these things, and the judgment forms for itself a rule or standard, which standard is experience. Authors make three kinds of experience : the first is the simple uses of the external senses, whereby we perceive the phenomena of natural things, without any direct attention thereto, or making any application thereof. The second is, when we premeditatedly and designedly make trials of various things, or observe those done by others, attending closely to all effects and circumstances. The third is that preceded by an apprehension of an event, and determines whether the apprehension were true or false; the two latter kinds, especially the third, are of great service in philosophy. EXPERIMENT, (from the Latin experimentum,) a trial, an act, or operation designed to discover some unknown truth, principle, or effect, or to establish it when discovered. In philosophy, it means the result of certain applications, dis- positions, or combinations, of natural bodies, made with some particular view. The history of physical science from the commencement of the present century, strikingly demonstrates how powerful an instrument experiment is in the discovery of facts. Experiments are said to be mechanical, or chemi- cal, or electrical, or magnetical, &c., according to the subject to which they more immediately belong. The object of making experiments is to ascertain either certain causes or certain phenomena; and for the proper attainment of these objects, care must be had to institute experiments that admit of no equivocal result, and so as to answer the purpose in the quickest and most direct way. The main object, how- ever, of the inquiry can seldom be determined by a single decisive experiment ; hence, in most cases, it becomes neces- sary to divide the question into parts, and to ascertain each part separately by one or more appropriate experiments. When the experiment is so prescribed, as to decide the ques- tion without any possible doubt or equivocation, it has in that 5 L case frequently been called experimentum crucis ,- a crucial experiment, meaning a capital or decisive experiment; such as supersedes the necessity of instituting more experiments for the same purpose. The origin of the expression experi- mentum crucis has by some been derived from its being a kind of torture, whereby the nature of the question is, as it were, extorted by force. It has been also attributed, by others, though with less apparent probability, to the guide or instruction which it affords, like that of a direction-post, which is shaped somewhat like a cross. It is not practicable to give any instructions for the right performance of experiments in general; for not only every subject, but every particular question belonging to any sub- ject, must be determined by a particular mode of inves- tigation. The experimenter can only be instructed by prac- tice. The nature of the subject, a strict attention to every apparent circumstance, an accurate statement of particulars, and an unprejudiced mode of reasoning, will easily suggest a proper train of experiments which the subject in question may admit of. It deserves to be remarked, that though in the investigation of any subject, the philosopher proposes a certain order of investigation, (and it is always proper to propose to one-self some such plan or train of experiments ;) yet it is but seldom that the proposed plan can, or deserves to be, strictly executed ; for the result of the first or second experiment frequently points out a new tract, or a more pro~ mising road; in consequence of which, new and different trials must be instituted; it is in the ready adoption of such plans as may be best suited to the last indications, that the genius of the philosopher is rendered conspicuous. Such mode may suffice for the determination of any doubt- ful point ; but when a discovery has been made, and is to be explained to other persons, then it is of use to show the same result by different experiments; for it is not only a satisfaction to have several concurring proofs of the same proposition ; but it is also rendered intelligible to a greater number of readers or hearers ; it being seldom the case, that the same experiment conveys an equal degree of conviction and satisfaction to the mind of everybody. EXPERIMENTAL PHILOSOPHY. Philosophy, from the Greek philosophic, (¢L>\00’0¢Ld,) literally signifies “love of wisdom or knowledge,” and a philosopher, (¢Ll\060l])og,) is a lover of wisdom. Pythagoras is said to have been the first person who called himself philosopher, from which appellation the word philosophy was derived, meaning the love of general knowledge. The terms philosophy, philosophical, philosopher, are often used in our language apparently with no great pre- cision, though it is not difficult to deduce from the use of these terms the general meaning or notion which is attached to them. We speak of the philosophy of the human mind, as being, of all philosophies, that to which the name philosophy is particularly appropriated ; and so also, by using qualifying terms, we speak of natural philosophy, experimental phi- losophy, &c. If this knowledge or philosophy relate to the manners, the duties, or the conduct of human beings, considered in a rational and social light, it is called moral philosophy ; if to the phenomena of natural bodies—natural philosophy. Expe- rimental philosophy, as will be shown hereafter, may be defined as the philosophy of proof, in contra-distinction to the philosophy of opinion, to the manners, the duties, and the conduct of human beings, considered in a rational and social light, or to the phenomena of natural bodies, so it has been called either moral philosophy or natural plu'losop/zy. The philos0phers of the primitive ages, among the Greeks, Romans, &c., in explanation of the phenomena of nature. _ - EXP . 406 < such as the motions of the celestial bodies, the rain, snow, frost, thunder and lightning, the rainbow, the combustion of fuel, the production of animals and vegetables, and so forth, generally offered the inadequate suggestions of their imagi- nations, which, though mostly unintelligible, and frequently in the greatest degree absurd, were nevertheless received with deference by their scholars, and were propagated with fidelity and diligence from one generation to another. Their acquiescence rested merely on the authority of the teacher. That these explanations were generally inadequate and absurd, is easily evinced by observing, that different contem- porary philosophers entertained and taught opinions diametri- cally opposite to each other, though they related to the very same question; and that subsequent philosophers have, by actual observations, and unerring demonstrations, shown their fallacy. It may amuse an inquisitive mind to observe, that whilst the exertions of the early mathematicians, whose pro- ductions have obtained the admiration of subsequent gene- rations, were strictly rational and correct, the investigations of their contemporary philosophers were conducted in a man- ner altogether slovenly and superficial. This method of phi- losophizing prevailed for a very long period, and several centuries elapsed,_ during which the knowledge of nature made no progress deserving of notice, excepting a few rare and accidental discoveries. The 15th century, which was productive of the greatest events and the most consequential discoveries that history can record, seems to have given a new turn to the subject of natural philosophy. The old tenets began to be doubted, and the energies of the human mind began to manifest their unfettered powers. In the next century, the incoherent dogmas of the preceding ages were freely combated; the authority of names and sects was disregarded, and, in lieu of opinions, the explanation of natural phenomena was referred to the evidence of actual experiments. Then was introduced the appellation of experimental philosophy, by which is meant, the knowledge of natural powers and natural effects acquired by means of experiments or trials. The least reflection readily showed the superiority of this new method of philosophizing; but, independent of any other considera- tion, its establishment is principally due to the success with which it was attended, and which exceeded even the most sanguine expectations of its first promoters. No sooner was it adopted, than discoveries of importance were made, old- established errors were detected, and the subject of philosophy assumed an entirely new aspect. It is undoubtedly true, that in this mode of investigation the experiments must be preceded by hypothesis, or supposi- tion; for a man cannot begin to make experiments without the previous formation of a certain plan; but then the plan, the supposition, or the hypothesis, goes no farther than to propose something, the confirmation or refutation of which is referred to the result of experiments, assisted by mathe- matical calculation. In the 13th century, the necessary preliminaries for the improvementof natural knowledge began to be made; viz., collections of what then prevailed under the denomination of scientific knowledge, natu ‘al knowledge, secrets of nature, and the like; and the farrago of truths, errors, inconsistencies, doubts, and perplexities, which these Works contain, is strange indeed. Among the few who effectually began to work in the experimental mode of inves- tigation, during that century, Friar Bacon held the most distinguished place. His desire of information was great; his views extensive; his mind clear and capaeious; and he is said to have spent about £2,000 (a sum very considerable at that time) in the performance of his numerous philosophical experiments. Bautista Porta also distinguished himself for EXP‘ similar pursuits in Italy. This inquisitive person lived at Naples, and about the year 1560 formed a society of scientific persons, who met in his own house. The great Galileo, who was born in Italy, in the year 1564, became famous as a philosopher and a mathematician, towards the latter end of that century and the beginning of the next. His genius, superior to the prejudices of the times, investigated and established several leading propositions in natural philosophy; and his success, ,his example, and his precepts disseminated a universal ardour for the true mode of investigating the powers and the effects of natural bodies. His successor, Torricelli, was not unworthy of a most distinguished rank amongst the philosophers of the age; and the Torricellian tube, or the barometer, is a magnificent monument of his experimental inquiries. In England, as we have already mentioned, Friar Bacon was the first promoter of true knowledge ; but a great part of the work of philosophical reformation was accomplished by another inquiring genius of the same name. Francis Bacon, lord-chancellor of England, gave a fresh and vigorous impulse to the progress of experimental inquiry. He recorded a vast number of facts, proposed and executed a great many experiments, and nothing that related to nature seemed to be below his notice. These early reformers of philosophy, besides other obvious difficulties, were obliged to struggle against, and the success of their labours was much impeded by, the erroneous notions which then prevailed, and which had been long rooted in the minds even of the most able persons then living. Galileo was oppressed by the ignorance and prejudices of the clergy. Crichton, who flourished about the latter end of the 16th century, wrote an able book expressly against the vain philosophy of Aristotle, which had long been read in the schools. The two Bacons, and other able writers, frequently allude to, and strenuously endeavour to remove, the absurd and fanciful notions of their contemporaries. In short, the demolition of the old defective fabric, proved nearly as laborious as the erection of the new structure. The reform which had been begun by the above-mentioned, and other worthy persons, was soon after completed by the extraordinary genius of Newton. This truly great man, like a luminary of the first magnitude, illustrated whatever came within the limits of his notice, and his notice was employed in the greatest and most admired works of the creation. His method was to institute experiments, to examine the pheno- mena with accuracy, and to ground upon them the strictest mathematical reasoning. The conviction which such a rational method conveyed, and the numerous discoveries with which it was attended, completely exploded the old tenets, and established the only true method of investigating nature. The progress of experimental philosophy might have been interrupted by the death of a single individual ; for it does ‘ but seldom occur that genius, health, opulence, and other ; opportunities, concur in the qualification of an experimental philosopher; but the danger was in great measure averted . by the institution of philosophical societies. These societies, by bringing together learned men, and concentrating, as it were, their efforts against the ignorance and prejudice of the age; by uniting the efforts of several ingenious labourers, by furnishing in great measure the means of investigation, by encouraging improvements, and by recording and propaga- ting the results, at length succeeded in establishing the pro- gress of knowledge in a regula ‘ and permanent channel. The first society of the kind which we find recorded, is that which we have already mentioned at the house of Baptista Porta, in Naples, towards the latter end of the EXP 407 EXP 16th century. It was called “ Academia Secretorum Naturae.” Next to this, and before the end of the same century, the academy, called the Lyncei, was founded at Rome, and was rendered famous throughout the world, principally by the renown of one of its members, the great Galileo. The Academy del Cimento, and several other associations of scientific persons, were established in the succeeding, viz., the 17th century. Amongst those associations the first rank must be assigned to the Royal Society of London. This most learned and distinguished society had its origin soon after the middle of the 17th century. A few men of learn~ ing began to meet at stated times in VVadham college, Oxford; and among those persons were the following conspicuous characters : viz., Dr. Ward, Mr. Robert Boyle, Dr. Wilkins, Sir William Petty, Mr. Matthew Wren, Dr. Wallis, Dr. Goddard, Dr. Willis, Dr. Bathurst, Dr. Christopher Wren, and Mr. Rooke. From Oxford this association transferred its meetings in the year 1658, to Gresham college, in London. There they increased their number; and soon after the restora- tion of Charles II, the society received a royal charter, which established it in the form that has been continued ever since. The objects of the universe, or the natural bodies which affect our senses, become known and useful to us by their properties, some of which affect one of our senses, whilst others affect some other sense. Thus we perceive luminous bodies through our eyes, sound through our ears, heat or cold by the touch or feel, &c. Some of these properties are called general, like gravity and extension, because they belong to all bodies; and others, like transparency and fluidity, are called particular, because they belong to certain bodies only. The better we become acquainted with the properties of natural bodies, the more extended the sphere of our powers and of our advantages becomes; and it is for the discovery of these properties, either in simple or in compound bodies, that experimental inquiries are instituted. In the acquirement of knowledge, the human being has no other assistance besides that of his senses, and of his reason- ing faculty. By the first he observes and acquires ideas of self-evident propositions, or properties of natural bodies; such as the human mind cannot dissent from without manifest violence to its perceptions; by the second he is led from one of these evident simple propositions, to another strictly depending upon the first, then to a third strictly depending upon the second, and so on, to the acquisition of some idea more complex, and less apparent at the first annunciation. The constant observations of philosophers, with Sir Isaac Newton at their head, and the dictates of plain reasoning, have furnished certain axioms and certain rules of philoso- phizing, the propriety of which is too evident to be objected to. The axioms of philosophy, or the axioms which have been deduced from common and constant experience, are so evident, and so generally known, that it will be suflicient to mention a few of them only. 1. Nothing has no property; hence 2. No substance, or nothing, can be produced from nothing. ' 3. Matter cannot be annihilated, or reduced to nothing. .The propriety of the last axiom may perhaps not be readily admitted by certain persons ; observing that a great many things appear to be utterly destroyed by the action of fire ; also that water may be caused to disappear by means of evaporation; and so forth. But it must be observed, that in these cases the substances are not annihilated; they are only dispersed, or removed from one place to another, and by being divided into particles very minute, they elude our senses, and escape our immediate notice. Thus, when a piece of wood is placed upon the fire, the greatest part of it disappears, and a few ashes only remain, the weight and bulk of which do not amount to the hundredth-part of the weight and bulk of the original piece of wood. In this case the piece of wood is divided into its constituent principles, which the action of the fire drives different ways. The fluid part, for instance, becomes steam, the light coaly part either adheres to the chimney, or is dispersed through the air, &c., so that if, after the combustion, the scattered materials were collected, (which may in great measure be accomplished,) the sum of their weights would equal the weight of the original piece of wood. . 4:. Every effect has, or is produced by, an adequate cause, and is proportionate to it. It may, in general, be observed, with respect to these axioms, that we only mean to assert what has been constantly shown, and confirmed by experience, and is not contradicted, either by reasoning, or by any known experiment. But we do not mean to assert that they are as evident as the axioms of geometry; nor do we in the least presume to prescribe limits to the agency of the Almighty Creator of every thing, whose power and whose ends are too far removed from the reach of our finite understandings. . Having thus stated the principal axioms of philosophy, it is in the next place necessary to mention the rules of phi- losophizing, which have been formed, after mature consi- deration, for the purpose of preventing errors as much as possible, and of leading the student of nature, along the shortest and safest path, to the attainment of true and useful knowledge. These rules may be reduced to four, Viz. l. \Ve are to admit no more causes of natural things, than such as are both true, and sufficient to explain. the appearances. 2. Therefore, to the same natural effects we must, as far as possible, assign the same causes. 3. Such qualities of bodies as are not capable of increase, or of decrease, and which are found to belong to all bodies within the reach of our experience, are to be esteemed the universal qualities of all bodies whatsoever. 4. In experimental philosophy we are to look upon propo- sitions collected by general induction from phenomena, as accurately, or very nearly true, notwithstanding any contrary hypothesis that may be imagined, till such time as other phe- nomena occur, by which they may either be corrected, or may be shown to be liable to exceptions. W'ith respect to the degree of evidence which ought to be expected in natural philosophy, it is proper to remark, that physical matters are not, in general, capable of such absolute certainty as the branches of mathematics. The propositions of the latter science are clearly deduced from a set of axioms so very simple and evident, as to convey perfect conviction to the mind ; nor can any of them be denied without a manifest absurdity. But in natural philosophy we can only say, that because certain particular effects have been constantly pro- duced under certain circumstances, therefore they Will most probably continue to be produced as long as the same circum- stances exist; and likewise that they do, in all probability, depend upon those circumstances. And this is what we mean bylaws of nature, viz., certain effects which are, or have been uniformly, produced by certain causes, as far as our observations reach. \Ve may, indeed, assume various physical principles, and by reasoning upon them, we may strictly demonstrate the deduction of certain consequences. But as the demonstration goes no farther than to prove, that such consequences must I l EXP 408 EXP necessarily follow the principles which have been assumed ; the consequences themselves can have no greater degree of certainty than the principles are possessed of; so that they are true, or false, or probable, according as the principles upon which they depend are true, or false, or probable. The foundations of experimental philosophy, as we have already observed, are the properties of natural bodies, Viz., of all those bodies, either solid or fluid, which in any way afi'ect any of our senses ; and since our senses are affected by the properties of these bodies, viz, by their extension, colour, hardness, transparency, 810., we cannot know any more of these bodies than what is manifested to us by such properties only as we are able to perceive. Were we furnished with other senses, doubtless we might discover other properties which would make us more intimately acquainted with the nature of such bodies. Human art has not been able to discover more senses than those which everybody knows; but it has, in great measure, improved some of those which we possess, and this alone is sufficient. to point out the limited nature of our per- ceptions. Thus, for instance, the discovery of the micro- scope and the telescope have shown us wonders, of which our forefathers were utterly ignorant ; and the number and variety of these wonders have increased, in proportion as the above-mentioned instruments have been improved. The improvements of these instruments have been suggested by the discoveries that have been made respecting the refrangi- bility of light, and the properties of transparent bodies, and these have been made in consequence of the innumerable experiments that have been instituted by various intelligent persons. Thus it appears, that by means of trials and obser- vations, new facts are ascertained, which, besides their being immediately useful to the human species, furnish, at the same time, the means of making farther discoveries ; and the trea- sures of the natural world are far, indeed, from a state of exhaustion. Hence the improvements and the discoveries of experimental philosophy proceed in a kind of increasing geometrical progression; unless they be impeded by some extraordinary occurrence. In contemplating the intimate nature of natural bodies, when our mind goes beyond the bounds of our senses, (and our senses, even with the assistance of instruments and rea- soning, are only capable of perceiving a few properties of those bodies 3) we wander in the boundless field of probability and conjecture. Two principal hypotheses have been enter- tained with respect to the primitive component particles of bodies. One is, that the particles of each peculiar species of bodies are difl‘erent from the particles of another species of bodies. Thus the primitive particles of gold are supposed to be different from the particles of calcareous earth, ditferent from the particles of water, 8L0. The other hypothesis is, that there is one kind of primitive, or original particles of matter, and that from the different ar‘angement of those ultimate particles, the various bodies arise. Experience shows, that certain bodies, which at first sight appear to be abso- lutely different from each other, are, upon farther exami- nation, exactly of the satne nature. On the other hand, a vast number of bodies are so distinct from each other, that no art has been able to form one of them from the particles of the other ; thus gold cannot be converted into a diamond, iron cannot be converted into lead, &c. The former of these observations seems to favour the second hypothesis ; the latter seems to favour the first hypothesis; but it is not in our power to determine the real state of the matter. , With respect to the number of bodies, which, by our not being able to change one of them into the other, are called elementary, or primitive and distinct; it may be remarked, that new bodies are frequently discovered in proportion as new instruments, and the improvements of science in general, furnish us with the means of discriminating them from others. We are thus naturally led to conclude, that in all probability there exists a vast number of other bodies, of which we at present have not the least suspicion. Some of these may perhaps be discovered hereafter, others may remain utterly unknown to the human species for ever. The properties of natural bodies, which are the objects of research to the experimental philosopher, are either general, or particular. The general properties, which belong to all kinds of bodies, are, as far as we know, not more than six ; Viz., extension, divisibility, impenetrability, mobility, vis inertiae, or passiveness, and gravitation. We have said that these are the general properties as far as we know, because matter in general may possess other properties with which we are yet unacquainted. And the same observation may be made with respect to the universality of these properties: for they are said to be general, because no body was ever found which wanted any one of them. But mankind are not : acquainted with all the bodies of the universe, and many which are known to exist, cannot be subjected to expe- riments. The peculiar properties, Viz., those which belong to cer- tain bodies only, and not to others, are density, rarity, hard- ness, softness, fluidity, rigidity, flexibility, elasticity, opacity, transparency, the properties of light, the properties of heat, the properties of electricity, the properties of magnetism, and three other. kinds of attraction, (independent of gravi- tation, of electricity, and of magnetism,) Viz., the attraction of aggregation, which the homogeneous parts of matter have towards each other, or by which they adhere together ; and . such is the power by which two small drops of mercury, when placed contiguous to each other, rush, as it Were, into each other, and form a single drop ; the attraction of cohesion, or that power by which the heterogeneous particles of bodies adhere to each other without any change of their natural properties, such as the adhesion of water to glass, of oil to iron, &c.; and the attraction of composition, or of affinity, which is the tendency that the parts of heterogeneous bodies have towards each other, by which they combine, and form a body, differing more or less from any of its components. It is to be remarked, that of all these properties we know their existence only, and some of the laws under which they act; but we are otherwise utterly ignorant of their nature and dependence. The investigation of some of the above-mentioned pro- perties, whether general or particular, has been carried much farther than the investigation of other properties. The results of these investigations have likewise been various, both in point of extent and of application. Some of them are so very extensive and so useful, as to form the foundations of very important branches of science, or of art, under peculiar appellations. Thus, upon the mobility and the vis inertia: of bodies, the doctrine of motion, or dynamics, is grounded, which comprehends mechanics, hydrostatics, or the mechanical properties of fluids, pneumatics, &c. Transparency and the properties of light form the important foundation of optics. The attraction of affinity is the foundation of chemistry, as well as of various arts; and so forth. The phenomena of the universe, are the appearances which take place in consequence of the above-mentioned properties of natural bodies, together (respecting some of them at least) with some original impulse. The phenomena which take place amongst- the luminous celestial bodies, properly so called smelt as the stars, the planets, &c., are examined by '1 ZLJ EXP 409 .EXT 4%; a particular science, called astronomy ; the meteors, or the phenomena which take place within the limits of the terres- trial atmosphere, such as shooting stars, northern lights, halos, rain, fogs, hail, winds, &c., form the subject of meteorology. EXPLOSION, in natural philosophy, a sudden and violent expansion of an a'érial or other elastic fluid, by which it instantly throws off any obstacle that may be in the way. It differs from expansion, properly so called, in this, that the latter is a gradual and continued power, whereas the former is always sudden, and of only momentary duration. EXPLOSION, in military engineering. It is a matter of great moment, so to load, and indeed to construct a mine, that it may explode with the greatest precision, and with the maximum effect. Numerous theories have been given upon this subject, but it would be out of place to notice the whole of what appertains thereto in a work like this. In commencing operations, it is necessary in the first instance to ascertain, so nearly as may be practicable, what depth, and what weight of soil is to be removed by an explosion. This being done, the mine is formed, by con- structing a gallery leading to the chamber in which the powder is to be placed. This must be deposited in a very strong chest, let into a recess, and firmly secured in every part. Now, it being the nature of rarefied air to escape by that part which may be the weakest, it is evident, that if a mine is made under a rampart, so as to be within six feet of the surface, while all the sides are thicker by far than that measurement, the explosion will be directed towards that part which is thinnest, and which, from that circumstance, is called “the line of least resistance.” But, in order to direct the explosion to that part, it will be necessary to consider whether the soil be everywhere alike; for if the superincumbent portion should be part of a large stratified rock, while the sides are of a loose, inad- hesive substance, the latter, though measuring more in dia- meter, will give the line of least resistance, which, in such case, would follow the intenacity, and create a false explosion. For it must be recollected that explosions may be lateral as well as vertical. It was formerly supposed, that the diameter of the entonnoir, or explosion, was equal to double the line of least resistance; but we find that six times that line may be exploded, by allowing a load of 3001bs. of gunpowder, duly concen- trated, and fired in the middle of the mass, for every foot of the line of least resistance. We are not to infer from this, that 3001bs. will be requisite to lift one foot of soil; far from it ; for as a cubic foot of excavation will contain only 751bs. of powder, the above quantity (300lbs.) would require a space of exactly four cubic feet; the proportion would therefore be preposterous. But when we calculate upon large masses of soil, such as those prodigious cones thrown out from entonnoirs of great extent, we then find, that, to produce the completest explosion, an immense quan- tity of powder must be supplied. It is self-evident, that the power of the powder, according to the above scale, is only computed to that extent which may be necessary towards the ordinary purposes of military devastation ; for if we were to contribute, ad infinitum, 300lbs. of gunpowder for every foot in the line of least resistance, we should be accumulating power only in arithmetical proportion, while the resistance would be increasing in a geometrical ratio : of course the power must be in a regular state of comparative diminution, in proportion as the line of least resistance is increased; and this must, after a while, occasion the powder to be inert; or, if there should be any explosion, it could only follow the track of the train. Its l 5 M ignition, to be sure, might be felt partially, like that of a slight earthquake, but no superficial effects would be observable. It has been already stated, that the powder must be lodged in bulk; and that it should be ignited at the centre. This may, perhaps, appear superfluous; but all military men know, that much powder is blown out of the muzzles of pieces without ever being ignited; and we have a most remarkable fact in modern times, one indeed, which shows, that, unless in bulk, powder is not always sure to be fired in toto. The incident alluded to is as follows :— ‘ In the month of March, in the year 1809, a barge was proceeding along the new cut, from Paddington, laden with casks of spirits and barrels of gunpowder. One of the crew, it is supposed, allured by the former, bored a hole for the purpose of drawing offa little wherewith to tipple. Unhappily the action of the gimblet set fire to the contents of that barrel, which the dishonest navigator had mistaken for one of spirits. The barrel exploded, and drove eleven other barrels, filled with gunpowder also, to the distance of near a hundred and fifty yards. It is curious, that although the whole of the ' powder-barrels were together, indeed in contact, only that in question exploded. ~ Vauban gives us the following scale for exploding soils of various descriptions. He calculates, or perhaps found from experience, that for a cubic fathom (six feet) of soil, measuring in all 216 solid feet, the following proportions of gunpowder were needful. lb. 1. Light earth, mixed with sand ll 2. Common earth l2 3. Strong sand . ..... l5 4. Clay, or fat earth 16 5. Old, and good masonry 18 6. Rock 20 In following this calculation, we are to consider the entonnoir to be in diameter equal to only double the line of least resistance; and not according to a maximum explosion. A new substance, gun-cotton. which is cotton wool steeped in nitric or nitro-sulphuric acid, and dried, by which it becomes explosive, has been lately introduced as a substitute for gunpowder in blasting. It is not yet sufficiently under- stood to have come into extensive use. EXPONENT, in algebra, is a number placed over any power or involved quantity, to show to what height the root is raised ; thus 2 is the exponent of at? and 4 is the exponent of x‘ or :0 cc x .r. EXPONENTIAL CURVES, those curves which partake both of the nature of algebraic and transcendental ones. They are algebraical in their nature, because they consist of a finite number of terms, though these terms themselves are indeterminate, and they are in some measure transcen- dental, because they cannot be algebraically constructed. EXPOSURE, the act of exposing or laying open to View; as we say a building, a garden, or a wall, had a northern or a southern eaposure, and we speak of its exposure or exposi- tion to a free current of air, or to the access of light. EXTEND, to stretch in any direction, to continue in length as a line, to spread in breadth. EXTENSION, in philosophy, one of the general and essential properties of matter ; the extension of a body being the quantity of space which the body occupies, the extremities of which limit or circumscribe the matter of that body. It is otherwise called the magnitude, or size, or bulk of a body. A quantity of matter may be very small, or so as to elude the perception of our senses, such as a particle of air, a particle EXT 0' 410 EXT of water, Sac. ; yet some extension it must have, and it is by the comparison of this extension, that one body is said to be larger than, equal to, or smaller than, another body. The measurement of a body consists in the comparison of the extension of that body with some determinate extension, which is assumed as a standard, such as an inch, a foot, a yard, a mile ; hence it is said, that a body is a foot long, or three inches long, &c. The extension of a body is measured three different ways; or a body is said to have length, breadth, and thickness. Thus an ordinary sheet of writing paper is about 16 inches long, about 14 inches broad, and nearly one hundredth part of an inch thick. Either of these dimensions might be called the length, or the breadth, or the thickness ; but, by general custom, the greatest extension is called the length, the next is called the breadth, and the shortest is called the thickness. The outside of a body, its boundary, or that which lies con- tiguous to other bodies that are next to it, is called the smface of that body, and this surface has two dimensions only, viz., length and breadth; but it has no thickness, for if it had, it would not be the outside of the body; yet a surface by itself cannot exist. In mathematics, however, surfaces are mentioned, and are reasoned upon, abstractedly from matter. But in these cases the surfaces exist in the imagination only, and even then our ideas have a reference to body, for our senses cannot perceive a surface without a body. ' As a surface is the outside or boundary of a body, so a line is the boundary of a finite surface. Suppose, for instance, that a surface is divided into two parts, the common boundary of the two parts is called a line,- this has one extension only, viz., it has length. The beginning or the end of a line, or the intersection of two lines which cross each other, is called a. point, and this has no dimensions; or, according to the mathematical defi- nition, a point is that which has no parts or magnitude, its use frequently is to mark a situation only as a point upon a surface by the intersection of two lines, &c. Thus, if you divide a line into two parts, the division or boundary between the two parts is a point. Our senses are only capable of perceiving bodies which have three dimensions; or rather the surfaces of bodies, which surfaces have two dimensions, but a surface cannot be represented nor perceived without a body, and of course neither a line nor a point can be perceived without a body. In the study of geometry, and in a variety of other branches, surfaces, lines, and points are represented upon paper, or upon something else; but in those cases, the paper, or that something else, is the body whose surface we perceive, and the surface of a particular figure is circumscribed, not by real lines, but by a narrow slip cf surface, which is sufficient to direct our reasoning with respect to the geometrical pro- perties of lines and surfaces. Thus also, when points are represented by themselves, the marks are not real points, but very small portions of the surface of a body. There is a case in which extension is often said to be per- ceived without the existence of a body, and this is the exten- sion between two bodies. But, upon consideration, it will easily be comprehended, that we may perceive the two bodies, and that they are sepa'ate from each other; but we cannot perceive anything positive between them. So that in this case the word extension is used in a figurative manner, as if some other body existed between the two bodies. . The particular extension, whether under the name of inch, foot, yard, metre, league, &c., with which other exten- sions are compared, or by which they are measured, is estab- lished only by the common consent or agreement of persons of a certain nation, or profession, and used as standard mea- sure by them only. Hence, the measures of different nations, though sometimes they have the same name, differ consider- ably from each other. Great endeavours have been made by divers ingenious persons, at different times, for the purpose of determining an unalterable universal standard of measures ; those endeavours, and the results with which they have been attended, will be found described under the article STANDARD of Measures. Extension is usually described as consisting in the situation of parts beyond parts; but to this definition some authors object, maintaining, that we can conceive absolute extension without any relation to parts. If a man consider the distance between two bodies abstractedly, and without any regard to bodies which may fill that interval, it is called space; and when he considers the distance between the extremes of a solid body, it is called extension. Extension is frequently confounded with quantity and magnitude; and, for what we can perceive, without much harm, the thing signified by them all appearing to be the same ; unless we admit a distinction made by some authors, that the extension of a body is something more absolute, and its quantity and magnitude more respective, or implying a nearer relation to much and little. The infinite divisibility of extension has been a famous question in all ages. It is not easy to reconcile the doctrine of mathematicians on this head with the tenets of some philosophers. Those who hold that all extension and magnitude are compounded of certain minima sensibilia ; and that a line, for instance, cannot increase or decrease, but by certain invisible increments or decrements only, must, consistently with themselves, affirm, that all lines are commensurable to each other. But this is contrary to the tenth book of Euclid, who demonstrates that the diagonal of a square is incommensurable to its side. And further, if all lines were composed of certain indivisible elements, it is plain one of those elements must be the com- mon measure of the diagonal and the side. Bishop Berkeley observes, that the infinite divisibility of finite extension, though it is not expressly laid down, either as an axiom or theorem in the elements of geometry, is yet throughout the same everywhere supposed, and thought to have so inseparable and essential a connection with the prin- ciples and demonstrations in geometry, that mathematicians never admit it into doubt, or make the least question of it. And as this notion is the source from whence do spring all those amusing geometrical paradoxes, which have such a direct repugnancy to the plain common sense of mankind ; so it is the principal occasion of all that nice and extreme subtilty which renders the study of mathematics so difficult and tedious. Hence, says he, if we can make it appear, that no finite extension contains innumerable parts, or is infinitely divisible, it follows, that we shall at once clear the science of geometry from a great number of difficulties and contradic- tions which have ever been esteemed a reproach to human reason, and withal, make the attainment thereof a business of much less time and pains than it hitherto hath been. Every particular finite extension, which may possibly be the object of our thought, is an idea existing only in the mind, and consequently each part thereof must be perceived. If therefore, says this author, I 'annot perceive innumerable parts in any finite extension that I consider, it is certain they are not contained in it ; but it is evident, that I cannot distinguish innumerable parts in any particular line, surface, or solid, which I either perceive by sense, or figure to myself in my mind ; wherefore, I conclude they are not contained a: 3:3 .gqiififlfléwixf r. 21?}: _. 1.11364, 3m35wé3mw1§w§wwfiw§ _ , , in", ; FAB 411 FAC in it. Nothing can be plainer to me than that the extensions I have in view are no other than my own ideas ; and it is no less plain, that I cannot resolve any one of my ideas into an infinite number of other ideas; that is, that they are not infinitely divisible. If by an infinite extension be meant something distinct from a finite idea, I declare I do not know what that is, and so cannot affirm or deny anything of it. But if the terms extension, parts, and the like, are taken in any sense conceivable ; that is, for ideas ; then to say a finite quantity or extension consists of parts infinite in number, is so manifest a contradiction, that every one at first sight acknowledges it to be so. On the other hand, it is observed by an eminent mathema- tician, that geometricians are under no necessity of supposing that a finite quantity of extension consists of parts infinite in number, or that there are any more parts in a given mag- nitude than they can conceive or express : it is sufficient that .it may be conceived to be divided into a number of parts equal to any given or proposed number; and this is all that is supposed in strict geometry concerning the divisibility of magnitude. It is true, that the number of parts into which a given magnitude may be conceived to be divided, is not to be fixed or limited, because no given number is so great, but a greater than it may be conceived and assigned : but there is not therefore any necessity for supposing that number infinite; and if some may have drawn very abstruse conse- ' quences from such suppositions, they are not to be imputed to geometry. Geometricians are under no necessity of sup- posing a given magnitude to be divided into an infinite num- ber of parts, or to be made up of infinitesimals ; nevertheless, they cannot so well avoid supposing it to be divided into a greater number of parts than may be distinguished in it by sense in any particular determinate circumstance. But they find no difficulty in conceiving this ; and such a supposition does not appear to be repugnant to the common sense of man- kind, but, on the contrary, to be most agreeable to it, and to be illust'ated by common observation. It would seem very unaccountable not to allow them to conceive a given line, of an inch in length for example, viewed at the distance of 10 feet, to be divided into more parts than are discerned in it at that distance ; since by bringing it nearer, a greater number of parts is actually perceived in it. Nor is it easy to limit the number of parts that may be perceived in it when it is brought near to the eye, and is seen through a little hole in a thin plate ; or, when by any other contrivance it is rendered distinct at small distances from the eye. If we conceive a given line, that is the object of sight, to be divided into more parts than we perceive in it, it would seem that no good rea- son can be assigned why we may not conceive tangible mag- nitude to be divided into more parts than are perceived in it by the touch ; or a line of any kind to be divided into any given number ,of parts, whether so many parts be actually distinguished by sense or not. In applying the reasonings FAB FABER, a workman, the Romans gave this name to artisans or mechanics who worked in hard materials. FABRIC, (from the Latin,fabrica, Frenchfabrique, origi- nally the workshop of a mechanic, a smith’s 8/201) 0r_fbr(r/e) the Structure or construction of any thing, particularly a building. In Italy, the word is applied to any considerable building ; in France, it rather signifies the manner ofbuildinon and demonstrations of geometricians on this subject, it ought to be remembered, that a surface is not considered by them as a body of the least sensible magnitude, but as the termi- nation or boundary of a body; a line is not considered as a surface of the least sensible breadth, but as the termination or limit of a surface ; nor is a point considered as the least sensible line, or a moment as the least perceptible time ; but a point as a termination of a line, and a moment as a termi- nation of a limit of time. In this sense they conceive clearly what a surface, line, point, and a moment of time, is ; and the postulata of Euclid being allowed and applied in this sense, the proofs by which it is shown, that a given magnitude may be conceived to be divided into any given number of parts, appear satisfactory; and if we avoid supposing the parts of a given magnitude to be infinitely small, or to be infinite in number, this seems to be all that the most scrupulous can require. Dr. Reid, in his “ Inquiry into the Human Mind, on the Principles of Common Sense,” considers that it is absurd to deduce from sensation the first origin of our notions of exter- nal existence, of space, motion, and extension, and all the primary qualities of bodies; they have, he says, no resem- blance to any sensation, or to any operation of our minds, and therefore they cannot be ideas either of sensation or reflection ; nor can he conceive how extension, or any image of extension, can be in an unextended and indivisible subject like the human mind. EXTERNAL, or EXTERIOR, (from the Latin externus, outward,) a term of relation, applied to whatever is on the surface or outside of a body, and opposed to internal or interior. EXTERNAL or EXTERIOR ANGLES. See ANGLES. EXTRADOS, (from the Latin, extrd, outer, and dorsus, the back,) the external surface of a vault. The surface on the upper side of the voussoirs of an arch. See ARCH, BRIDGE. EXTREME, (from the Latin extremus, utmost,) whatever finishes or terminates on one side of a thing. The extremes of a line are points. EYE, (from the Saxon,) a circular window in a pediment, attic, the reins of a vault, or the like. EYE, Bullock’s, (in French, aeil de baeufi) a little skylight in the covering or roof, intended to illuminate a granary, &c. It is also applied to the little lanterns in a dome, as at St. Peter's at Rome, which has forty-eight, in three rows. EYE or A DOME, the aperture at the summit, as that of the Pantheon at Rome, or of St. Paul's, London. EYE OF A VOLUTE, the circle at the centre, from the cir- cumference of which the spiral line commences. See SPIRAL and VOLUTE. EYE, in perspective, the point where the organ of vision is fixed, in order to view the object. . EYE-BEOW, the same as FILLET, which see. F. F A C FAQADE, or FACE, (from the Latin facz'es, the front) the face or front view of an edifice ; that portion of the surface of a building which presents itself to the eye. Facade was used originally to denote the principal front of a building; and the term Facciata, used by the Italians, is, for the most part, applied to such fronts as have a principal entrance. The word is now generally made use of when speaking of archiv (I? FAH 412 FAR tectural buildings, as the facade of St. Peter’s, 8w. FACE, or FACIA (from the Latin) a vertical member in the combination of mouldings, having a very small projection, but considerable breadth ; such as the bands of an architrave. See FASCIA. FACE MOULD, in the preparation of the hand-rail of a stair, a mould for drawing the proper figure on both sides of the plank; so that when cut by a saw held at a certain inclination, the two surfaces of the rail-piece will be every where perpendicular to the plan, when laid in their intended position. FACE or A STONE, the surface intended for the front of the work. The face is easily known when the stone is scalped, as being opposite to the back, which is rough as it comes from the quarry. The surface of the splitting grain ought always to be perpendicular to the face. FACET, or FACETTE, a flat projection between the flutings of columns. FACIA. See FASCIA. FACING, in engineering, a small thickness of common earth, soil, or stuff of a canal, laid in front of the side lining or puddle on the sloping sides. It is of use to hold up the puddle while working and chopping, in the act of puddling, and afterwards to guard the puddle from being penetrated by the hitehers and poles used by the barge—men. FACING, a thin covering of a better material, to improve the appearance, or add to the strength of anything. Thus the thin covering of polished stone, or the stratum of plaster, or cement on a brick or rough stone wall is called a facing. FACING, FACADE, or REVETEMENT, in fortification, the por- tion of masonry, or rather building, given to ramparts, with a view to prevent the'soil of which they are composed from crumbling or giving way. When the wall is of masonry, it should be 5 feet thick at the t0p, with tresses, called counter- forts, at about 15 feet apart, to strengthen the facing. In order to prevent escalade, the facing is generally made full 27 feet high, from the bottom of the ditch to the cordon. When the facing is carried up as high as the soles of the embrasures, it is called a whole revetement; but when con- fined to the ditch only, it is called a half revetemcnt. These must depend upon the nature of the soil, the facility of obtaining materials, the time that can be allowed, the impor- tance of the post, &0. When difficulties occur, as also in temporary works, the facings are made with turf, in which case they are said to be gazoned. For field-works, and par- ticularly in the conducting of sieges, fascines or faggots, made of various materials, are very generally employed, and answer the intention. FACINGs, in joinery, all those fixed parts of wood-work which cover the rough work of the interior of walls, and present themselves to the eye in the completion. FACTABLING. See COPING. FAIR CURVE, in ship-building, a winding line, used in delineating ships, whose shape is varied according to the part of the ship which it is intended to describe. FAIIRENIIEIT, the presumed inventor of the thermo- meter which bears his name. It is quite unknown on what ground he made choice of the fixed points on his scale, or of the number of graduations between them, but it is sup- posed that one of the lixed points was that of boiling-water, and that the other, the zero of the scale, was that at which the top of the column stood, when the instrument was exposed to an intense cold in Iceland, in 1709. The extent of the scale betWeen this last point, and that of boiling-water, is divided into 212 parts, and the point of freezing water, is at the thirty-second division from the zero point. of the Louvre, or the facade FALD-STOOL, a portable folding seat of wood or metal, often of elaborate workmanship, and covered with rich hang- ings of silk or other material. The term is applied to the Litany stool, or low desk, used in churches, from which the Litany is said. Its position is in the middle of the choir, near the steps of the altar. FALL. See MEASURE, and WEIGHTS AND MEASURES. FALLING MO ULDS, the two moulds which are applied to the vertical sides of the rail-piece, one to the convex, the other to the concave side, in order to form the back and under surface of the rail, and finish the squaring. FALLING-SLUICES, in engineering, gates contrived to fall down of themselves, and enlarge the water-way, on the increase of a flood, in a mill-dam, or the pond of a river navi- gat10n. FALSE ROOF, of a house, that part between the upper room and the covering. FANE. See VAN i. rather more than a semi-circle, the circumference of which is cut out in circular notches. FAN-TRACERY VAULTING, a mode of vaulting very much in use in late Perpendicular buildings. In this vaulting, all the ribs and principal lines diverge equally in every direction from a point at the springing of the vault, every rib preserving the same curvature ; the spaces between the ribs are piled up with panelling and rich tracery. The name is applied from the similarity of this kind of roof to an open fan. Beautiful specimens exist at King's College Chapel, Cambridge; St. George's, \Vindsor; and Henry VII.’S Chapel tries, tombs, &c. FANUM, among the Romans, a temple consecrated to some deity. The deified mortals, among the heathens, had erected one to his daughter Tullia. Thracian Bosphorus and the Syrnzean promontory. FARM. subject of the management of a farm; but as the construc- tion of the buildings belonging to one is frequently entrusted to architects and surveyors, especially in a country practice, it is desirable to offer a few observations respecting farm- buildings. “The magnitude of the buildings must depend wholly on The number of courts and their dimensions must be propor- tioned t0 the herds of cattle and quantity of oxen employed. The kitchen should be situated in the warmest part of the court, and the stable for the oxen contiguous to it; the stalls should be made to face the hearth and the east, because when oxen are constantly exposed to light and heat, they become smooth-coated. N0 husbandman, however ignorant, will sutfer cattle to face any other quarter of the heaVens than the east. The width of the stables ought not to be less than 10, nor more than 15 feet, their length proportioned to the number of yokes, each of which should occupy an extent of 17 feet. order that the operation of cleansing the utensils may be performed upon the spot. The courts for sheep, &c., should be so spacious, as to allow not less than 4%, nor more than (5 feet, to each animal. “The granaries should be above ground, and made to front either the north or the north-east, in order that the grain may not be liable to ferment; but, on the contrary, by exposure to a cold atmosphere, may be preserved a long t time: all other prospects encourage the propagation of worms FAN-SHAPED WINDOW, a window consisting of‘ Westminster ; also in many smaller erections, such as chau- j likewise their fana : even the great philosopher, Cicero, FANUM Jovrs, a temple ot'Jupiter, in Asia Minor, near the I It is not within our province to enter on the The directions of Vitrnvius are as follow:— the quantity of land attached to them, and upon its produce. ‘ The scalding-rooms should adjoin the kitchen, in FEE and insects destructive to grain. The stables should be built in the warmest part of the villa, most distant from the hearth ; because when horses are stalled near fire they become rough-coated. It is likewise expedient to have stalls for oxen at a distance from the kitchen, in the open air; these should be placed so as to front the east, because if they are led there to be fed in winter, when the sky is unclouded, they will improve in appearance. The barns, the hay-yards, the corn-chambers, and the mills, ought to be without the walls, so that the farm may be less liable to accidents by fire.” An excellent work on farm—buildings has been written by Mr. G. A. Dean, of Stratford. FASCIA, FACIO, or FACE (from the Latin, facia) a vertical member, of considerable height, but with a small projection, used in architraves and pedestals. In the Grecian Doric, the architrave under the band consists only of a single face ; as does also the Ionic on the temple of the Illysus, in Attica. The Ionic on the temple of Erechtheus, at Athens, has three fasciae ; as have several celebrated examples of the latter order. Vitruvius allows only a single face to the Tus- can and Doric orders : that is, he makes it all plain, without any divisions or cantoning into parts or fasciae. In brick buildings, the jutting out of the bricks beyond the windows in the several stories, except the highest, are called fascias or fascia. These are sometimes plain, and sometimes moulded; but the moulding is only a sima reversa, or an ogee, with two plain courses of brick over it, then an astragal, and lastly, a boultine. FASCINE, (from fascis, a bundle, ) in fortification, a number of small sticks of wood, bound at both ends and in the middle, used in raising batteries, in filling ditches, in strengthening ramparts, and making parapets. Smeaton and other engineers have used wattled wood or hedge-work for groins, &c., to retain the pebbles or beach, and break the waves on the shore. FASTIGIUM, (Latin, a top or ridge) the upper or crown- ing member of a buildina. The term is also applied to PEDI- MENT ; which see. FATHOM (from the Saxon) a long measure of six feet, taken from the extent of both arms, when stretched in a right line. It is used in measuring the depth of water, quarries, wells, and pits. It is also always used in nautical matters, as in heaving the lead, 8w. FAUX, a narrow passage used as a means of communica- tion between the atrium and peristylium, the two principal divisions of a Roman house. FAVISSA (Latin) a hole, pit, or vault under ground, to keep something of great value. FEATHER-EDGED BOARDS, those of a trapezoidal section ; that is, thicker on one edge than on the other : they are used in the facing of wooden walls, and sometimes for the covering of an inclined roof, by lapping the thick edge of the upper board upon the thin edge of the lower one : boards of this description are also employed in fence walls, but are then most frequently placed vertically. FEATHER-EDGED COPING. See COPING. FEATHERING, an ornament in use in Early English, and the later periods of Gothic architecture, consisting of an arrangement of small arcs in juxtaposition, and forming, at their intersection, projecting points or cusps. Sometimes we find a second and even a third series of these ornaments, one within the other. See FOLIATION. FEEDER, in engineering, a cut or channel, sometimes called a carriage or catch-drain, by which a stream or supply of water is brought into a canal: sometimes the stream of water itself thus supplied, is called afeedcr. FEEDING-HOUSE, or SHED, a building in a farm, for 5 N 413 'in the direction of the annular plates, is called the quarter- FIG the purpose of fattening neat cattle. It should have a dry warm situation, capable of free ventilation, and be well sup— plied with proper conveniences for the reception of food and water. FELLING, of timber, the cutting of trees close by the root, for the purpose of building : the proper season for this purpose, is about the end of April. FELT-GRAIN : when a piece of timber is cloven or split towards the centre of the tree, or transversely to the annular rings or plates, that position of splitting is called the felt- grain; and the transverse position, or rather that which is gram. FELTING, the splitting of timber by the felt-grain. FEMUR, the plane space intervening between the chan- nels in the triglyphs of the Doric order. FENCE, (from the Latin def'endo, to defend) any sort of construction for the purpose of enclosing land; as a bank of earth, a ditch, hedge, wall, railing, paling, 8w. FENCE, the guard of a plane, which obliges it to work to a certain horizontal breadth from the arris: all moulding planes, except hollows, rounds, and snipes’ bills, have fixed fences, as well as fixed stops ; but in fillisters and plows the fences are moveable. FENESTELLA, a niche on the south side of the altar in churches, in which the piscina and sometimes credence table also is placed. These niches are of various forms and degrees of ornamentation ; some of them are very richly finished. In some instances a double niche is found, one for the piscina and the other for the credence table. See PISCINA, CREDENCE TABLE, CHANCEL, &c. FENESTRATION, the arrangement of windows in a building. The term is also used in contradistinction to columnialion, when speaking of the design and composition of a building generally; the former term being used in reference to an edifice in which windows form the principal feature, the latter to that in which the columnar arrangement is adopted. Buildings in which both windows and columns are employed, are termed columnarfenestmted. FERE'I‘ORY, (Latin few, to carry,) a bier, coffin, shrine, or tomb. The term is more properly applied to portable shrines. FESTOON, a representation in sculpture of bands of flowers, drapery, foliage, &c., looped up or suspended at regular intervals. This decoration was used by the ancients in‘friezes, Sac. FETCHING THE PUMP, the act of pouring water into the upper part of a pump, to expel the air contained between the lower box, or piston, and the bottom of the pump. FIGURE (from the Latin figure, likeness) in a general sense, the terminating extremes, or surface of a body. No body cari exist without figure, otherwise it would be infinite, and consequently all space would be solid matter. FIGURE, in geometry, any plane surface comprehended within a certain line or lines. Figures are either rectilinear, curvilinear, or mixed, accord- ing as the perimeter consists of right lines, or curved lines, or both. The superficial parts of a figure are called its sides, or faces, and the lowest side its base; if the figure be a tri- angle, the angle opposite the base is called the vertex, and the height of the figure is the distance of the vertex from the base. FIGURE, in architecture and sculpture, representations of things made of solid matter, as statues, &c., thus we say, figures of brass, of marble, of stucco, of plaster, 850. A ' FIR i 414 FIR Figures, in architecture, are said to be detached when they stand singly, in opposition to those composmons called groups. FIGURE, in conics, the rectangle under the latus rectum and transversum, in the hyperbola and ellipsis. FIGURE, in fortification, the interior polygon, which is either regular or irregular. It is called a regular figure, when the sides and angles are all equal. FIGURES are either CIRCUMSCRIBED or INSCRIBED, EQUAL, EQUILATERAL, SIMILAR, REGULAR, or IRREGULAR. See these words. FIGURE OF THE DIAMETER, a name given to the rectangle under a diameter and its perimeter, in the ellipsis and hyperbola. FILLET, (from the French, filet, a band) a small member, consisting of two planes at right angles, used to separate two larger mouldings, to strengthen their edges, or to form a cap or crowning to a moulding, or sometimes to terminate a mem- ber, or series of members. The fillet is one of the smallest members used in corniees, architraves, bases, pedestals, 8:0. It is called by the French, reglet, hande, and bandelette ,- by the Italians, lista or listella. FILLET, in carpentry or joinery, any small timber scant- ling, equal to, or less than, battens : they are used for sup- porting the ends of boards, by nailing them to joists or quarters, &c., as in sound-boarding, and in supporting the ends of shelves. FILLET GUTTER. See GUTTERING. FILLING -IN PIECES, in carpentry, short timbers, less than the full-length, fitted against the hips of roofs, groins, braces of partitions, 860., which interrupt the whole length. FINE-SET, when the iron of a plane has a very small projection below the sole, so as to take a very thin broad shaving, it is said to befine-set. FINE STUFF, in plastering. See PLASTERING. FINIAL, (from the Latin,_fini0, to finish,) in the pointed style of architecture, a termination to a building, or principal part, in the form of a flower or knop of foliage; used in high-pointed pediments, canopies, pinnacles, 860. It is usually in the form of a lily, trefoil, acorn, pomegranate, endive, &c., or consists of four or more of the leaves which compose the crockets tied up in one bunch. FINISHING, a term frequently applied to the termination of a building, as also to the interior, in the plaster-work, in giving the last coat ; and very frequently to the joiner's work, as in the architraves, bases, surbases, 8w. FINISHING, in plastering. See PLASTERING. FIR, (from the Welsh,fyrr,) a species of timber much used in building. The native fir of this country is called Scottish fir, which is chiefly employed in out-houses, oflices, &c. It is much inferior to the Baltic timber, which is used wherever durability is required. See TIMBER. FIR, Wrought, that which is planed upon the sides and edges. FIR, Wrought and framed, such as is both planed and framed. FIR, W'rought, framed, and rebatcd, is what its name imports. FIR, Wrought, framed, rehated, and headed, is what its name imports. FIR-BOARDS, the same as deal-boards. See DEAL. FIR-FRAMED, is generally understood of rough timber framed, without undergoing the operation of the plane. FIR-IN-BOND, a name given to all timber built in a wall, as bond-timbers, lintels, wall-plates, and templets. FIR-POLES, small trunks of fir-trees from ten to sixteen feet in length, used in rustic buildings and out-houses. FIR-No-LAEOUR, rough timber employed in walling, with- out framing or planing. ' FIRE-BRICKS, are made from a natural compound of silica and alumina, which, when free from lime and other fluxes, is infusible under the greatest heat to which it can be subjected. Fire—bricks are brought to London from Stour- bridge and from Wales ; they are also made near Windsor. See BRICK, and WINDSOR BRICKS. FIRE-ENGINE, a term formerly applied to the steam-engine, but now confined to those machines which extinguish fires by throwing water from a jet upon the burning materials. FIRE-ESCAPE, a machine for escaping from windows when houses are on fire. FIRE-PLACE, that space in an apartment where the fuel is consumed in communication with a flue through which the proceeds of combustion are carried away. In modern houses the fire—place is usually taken out of the space within the apartment, and flanked by projecting walls, upon which is carried up a flue also projecting within the apartment, but in ancient houses the fire—place and flue were often taken out of the thickness of the wall, or projected outwards on the exte- rior of the building. The most ancient fire-places in England, now existing, are those at Rochester and Conisborough Castles, which date of the twelfth century. The former is deeply re- cessed, with a semi-circular back, while the back of the former is flat, and not recessed at the level of the floor, but slopes backward as it rises ; the hearth consequently projects into the room, but is covered by a hood which projects from the wall to collect the smoke. WVe have not many specimens of Early English work, but in the later styles they are more frequent. In Early English and Decorated buildings fire-places are not often very deeply recessed, and sometimes not at all, but they are frequently covered with projecting hoods. In the Perpendicular style they are generally entirely recessed, and in that case are without the hood; some specimens of this period are of a very ornamental description. FIRE-PROOF HOUSES, such as are built without the use of any combustible matter : for this purpose, vaulted or cast-iron floors and roofs should be employed in every apartment. Vaulting is well adapted to the lower story of a building, but if used in the upper Stories, the walling must be carried up very thick, in order to resist the thrust of the arches ; and this extra substance not only darkens the apartments, but occasions an enormous expense. The builder is therefore obliged to have recourse to other modes of construction for common purposes. The most convenient substitute is cast- iron joists, vaulted between with brick, or covered with cast- iron boards flanged and keyed together. Mr. Bartholomew strongly recommends that roofs Should be so constructed as to lessen as much as possible the possi- bility of fire. “ It should be,” he observes, “the architect‘s study, in all roofs, to have as little as possible that will either burn or rot; if the roof-trusses were made of cast-iron, as Mr. Gwilt has made those to his restoration of the choir of St. Saviour’s Church, Southwark; and if slight horizontal rafters, reaching from truss to truss, supported tiles of the ornamental description above referred to, (tiles made of burnt earth, moulded in the form of leaves, &c.,) all combustible materials might be banished from our invaluable cathedrals.” —-VVe quite agree with Mr. Bartholomew in principle, but, in such cases, would beg to recommend a 'aulted stone roof in preference to one of iron. The late Sir John Soane constructed nearly all the apart- ments of the Bank of England fire-proof, and without any rIx 415 FLA carpentry whatever; in his arches and domes, making use largely of hollow pots or cones of coarse earthenware ;~these, while strong enough not to crush, by their lightness relieve the walls in a great measure, both from the lateral thrust, and the perpendicular pressure, caused by the use of heavier materials. A method of rendering the floors of houses fire-proof, has been adopted with success in many parts of France. After the joists are laid they are boarded over with rough boards, and these covered with a coating of plaster of about eight inches in thickness, above which are laid tiles of an orna- mental description, or sometimes a floor Of parquetry. In some instances, the boards on which the plaster is laid, are ' omitted altogether, and the plaster inserted between the joists. The staircases likewise are made of brick-nogging, and covered with tiles. It is a cause of wonder and regret, that these or similar means for rendering buildings fire-proof, are not adopted in London, where so great a loss is annually sustained by neglect on this head: the immediate outlay would not be very much greater than at present, and in the end the practice would assuredly prove the more economical. Our timber partitions, roofs, and staircases would seem to be made for the purpose of burning; and when once a portion of a building takes fire, there is little chance of saving the remainder; whereas if the chambers, or at least the floors, were isolated by fire-proof partitions, a fire could readily be confined to that part of the building where it commenced. But perhaps of all parts of a house, that which requires the greatest care in this respect is the staircase; it is no easy matter to calculate how great a loss of human life has been occasioned by recklessness on this point. The staircase forms a shaft to carry up the flames, and is one of the first things to be destroyed, thus cutting Off the means of escape from persons above the ground-floor: if nothing else be attended to, surely our staircases should be rendered fire-proof. Iron has of late years been much used for the purpose of rendering buildings more safe from the effects of fire, but we are inclined to think the success of this application doubtful. This material is generally used as a substitute for summers, girders, or bond-timber, in which instances wood is almost as secure as iron; for in the former cases, the timbers are of too great scantling thoroughly to ignite, and in the latter they are well protected, and will be seldom found more than charred on the exposed surfaces. Besides this, iron has its disadvantages, for it is liable to expand and con- tract under the influence of heat and cold, and is known by this means to destroy the brickwork. FIRE-STONE, is used in joinery, for rubbing away the ridges made by the cutting-edge of the plane. ' FIRMER, FORMER, FURMER, FISH-POND, a reservoir of water, for breeding, feeding, and preserving fish. FISTUCA, (Latin) in antiquity, an instrument of wood, used in driving piles. It had two handles, and being raised by pullies fixed to the head of large beams, was let fall directly on the piles; sometimes it was wrought by hand only. FIXED AXIS, in geometry, the axis about which a plane revolves in the formation of a solid. FIXED POINTS, in carpentry, the points at the angles of a piece Of' framing, or where any two pieces Of timber meet each other in a truss. If a third piece join the meeting of the two, it may be pushed or drawn in the direction of its length, without giving any cross strain. See TOOLS. Fixed points are of the utmost use in shortening the bearings of the exterior timbers of the frame; neither is there any other method by which this can be so effectually done. When two sides of a frame are similar, any points in the length of the pieces may be supported by as many beams, extending between the opposite points: though this will keep the frame in equilibm'o, it will not prevent it from being shaken by heavy winds, or lateral pressure. FLAGS, thin stones used in paving, from one and a half to three inches thick, and of various lengths and breadths, according to the nature of the quarry. FLAKE \VHITE, in painting, lead corroded by the pressing of' grapes, or a ceruse prepared by the acid of grapes. It is brought to England from Italy, and far surpasses, in the purity of its whiteness, and the certainty of its standing, all the ceruses of white—lead made with us in common. It is used in oil and varnish painting, for all purposes where a very clean white is required. Flake white should be pro- cured in lumps, as brought over, and levigated by those that use it; as that which the colourmen sell ready prepared, is levigated and mixed up with starch, and often with white- lead, or even worse sophistications. FLAMBOYANT, a name applied to a style of Gothic architecture prevalent in France in the 15th century, from the circumstance of the principal lines of the tracery con- verging together in the shape of flames. This undulating distribution of lines is the characteristic of the style, ifit may be so termed. The tracery is frequently of a very elaborate character, and the ornamentation intricate and redundant, while at the same time the mouldings are meagre. These consist usually of large hollows separated with small and insignificant members of different contour, which gives the whole an appearance of poverty, ill contrasting with the rich- ness of the tracery. The centre moulding in the mullions Of windows, and similar positions, projects often to an unusual extent, so as to give it the appearance of weakness. Pillars, piers, jambs, and such like, are often devoid of capitals, the mouldings of arches which abut against them, dying into them without any finishing ornament. The more ornamented parts, such as foliage, &c., are very rich, and delicately carved, but are frittered away by the minuteness of their parts, thus losing all boldness and even distinetness of outline. FLANK, (from the French,_flcmc,) that part of a return body which adjoins the front ; as flank-walls. In town- houses, the flank-walls become party walls. FLANK W'ALLS, in engineering, the same as the wing or return walls of a lock or bridge. FLAPS, folds or leaves attached to the shutters of a win- dow, which are not sufficiently wide of themselves to cover the sash-frames, or to exclude the light. FLASHES, in engineering, a kind of sluices erected upon navigable rivers, to raise the water upon any shoals therein, while the vessels or craft are passing. FLASHINGS, in plumbery, pieces of lead inserted in a wall for covering other pieces laid down for gutters, &c. FLAT CROWN. See CORONA. . FLATTING, in house-painting, a mode of painting in oil, without any gloss on the painted surface when finished. The paint is prepared with a mixture of oil of turpentine, which secures the colour; and when used in the finishing, leaves the paint quite dead, without gloss. This is of great importance to those who are desirous to have their rooms continue white. Flatting is only used for inside work, and rarely for any but principal rooms. Nut oil is some- times used for the purpose, but not often, on account of its high price. w FLO 416 FLO As useful a flatting as any, is such as is ground in poppy oil. It is pleasant in working, and leaves a beautiful white for some years ; but it is rather expensive. FLEMISH BOND, that method of laying bricks in which headers and stretchers appear alternately in the length of each course. The appearance of this work is generally preferred to. that of English bond, for the external facings of walls, but the method of laying is much more complicated, and requires the insertion of a number of small pieces in carrying up the work, to fill up the interstices between the bricks. See BRICKLAYING. FLEMISII BRICKS, in bricklaying, strong bricks, of a yellowish colour, used in paving; their dimensions are about 6% inches long, 2% broad, and 1% thick; 72 set upon their widest sides, or 100 on edge, will pave a yard square, allow- ing a quarter of an inch for the joints. ‘ FLEXURE, or FLEXION, (from the Latin) the opposition of curvature at a given point, where a straight line becomes a tangent, having the curve on both sides of it, one portion of the curve being concave, and that on the other side of the point of contact, convex. FLIGHT, in staircasing, a series of steps, whose treads are parallel, and terminate against a straight wall. FLIGHT, Leading, FLIGHT, Returning, FLIGHT, is also used in London for a whole stair, between two adjoining floors. FLOAT, in plastering. See PLASTERING. FLOAT-BOARDS, the boards fixed to undershot water- wheels, to receive the impulse of the stream. FLOAT-STONE, among bricklayers. See BRICKLAYERS. FLOATED LATH AND PLASTER, set fair for paper. See PLAsTERING. FLOATEI), RENDERED, and SET, in plastering. See PLAS- TERING. FLOATING, in plastering. See PLASTERING FLOATING BRIDGE. See BRIDGE. FLOATING RULES, in plastering. See PLASTERING. FLOATING SCREEDs, in plastering. See PLASTERING. FLOOD—GATE, a gate or sluice, that may be opened or shut at pleasure, to give passage to, or retain the water of a river liable to be swollen by floods. Flood-gates are necessary in many situations ; as, upon rivers where ,the water is retained for the service of mills, canals, navigations, docks, &c. FLOOR, (from the Saxon) the lowest horizontal side of an apartment, for walking, or for performing different opera- tions upon. Floors were formerly covered with rushes, carpets being seldom used for such purposes, even at the close of Elizabeth’s reign. In much earlier times, however, tapestry-cloths were occasionally used to rest the feet upon. Most of the old dramatists have frequent allusions in their works to the practice of strewing rushes in the principal apart- ments. - Floors are of various kinds, according to the materials of which they are cOnstructed. Those made of brick and stone, are called pavements ,- those of earth are called eart/eenfloors; those of plaster, lime floors; and those of timber are called timber floors. FLOOR, in carpentry, includes not only the boarding for walking upon, but all the timber-work for its support. Bearded floors should never be laid till the building is pro— perly covered in, nor indeed till the windows are glazed, and the plaster dry. Previous to the laying of such floors, the boards ought to be rough-planed, and set out to season, a twelvemonth at least, before they are used ; that the natural } See STAIRCASING. sap may be thoroughly expelled, and the shrinking prevented. which so frequently takes place when unseasoned timber is used. The best timber for flooring is yellow deal, well- seasoned. The quality of this material is such, that when laid, it will be easily kept of a good colour; whereas white timber is liable to become black in a very short time. Narrow boards are called battens; these should never exceed seven inches in width, nor be less than an inch in thickness. Floors are nailed either at both edges, or at one edge; the longitudinal joints, or those in the direction of the fibres, are either square, ploughed and tongued, or rebated and lapped upon each other. Ploughed and tongued, and rebated joints may be used where the apartment is required to be air-tight, and where the stuffis thought not sufficiently seasoned. The heading-joints are either square or ploughed and tongued. In square longitudinal jointed floors, it is necessary to nail the boards on both edges: but where the boards are dowelled, ploughed and tongued, or rebated, one edge only may be nailed, as the grooving and tonguing, or lapping, is sufficient to keep the other edge down. Battens used in flooring are of three kinds, and are deno- minated best, second best, and common. The best battens are those that are free from knots, shakes, sap, and cross- grained fibres; the second best are those free from shakes and sap, but in which small knots are suffered to pass. The common kind are such as remain after taking away the best and second best. The best floors are dowelled and nailed only at the outer edge, through which the nails are made to pass obliquely into the joists, without piercing the upper surface of the boards, so that when laid no nails appear: the heading joints of such floors are most commonly grooved and tongued. Some work- men dowel the battens over the joists, but it makes firmer work to fix the dowels over the inter-joists. The gauge should be run from the under surface of the boards, which should be straightened on purpose. In the most common kind of flooring, the boards are folded together in the following manner: supposing one board already laid, and fastened, a. fourth, fifth, sixth, or other board, is also laid and fastened, so as to admit of two, three, four, five, or more boards, between the two, but which can only be inserted by force, as the capacity of the opening must be something less than the aggregrate breadths of the boards, in order that the joints may be close when they are all brought down to their places; for this purpose a board may be thrown across the several boards to be laid, which may be forced down by two or more men jumping upon it : this done, all the intermediate boards are to be nailed down, and the operation is to be repeated till the whole is complete. This manner of flooring is called a folded floor. III folded floors, less than four boards are seldom laid together. No attention is paid to the heading joints, and sometimes three or four joints meet in one continued line, equal in length to the aggregate of the breadths ot‘ the boards. In dowelled floors, the distances to which the dowels are set, are from six to eight inches, generally one over each joist, and one over each inter-joist; and, as has been already observed, the heading-joints of this kind of floor are generally ploughed and tongued; and no heading-joint of two boards ought to be so disposed as to meet the heading-joint of any other two boards, and thereby form a straight line equal to the breadth of the two boards. In common floors, the boards are always gauged from the upper side, then rebated from the lower side to the gauge lines, and the intermediate part adzed down, in order If FLO 417 FLU bring them to a uniform thickness. In doing this, great care should be taken not to make them too thin, which is frequently the case, and then they must be raised with chips, which present a very unstable resistance to a pressure upon 'the floor. Flooring is measured by throwing the contents into square feet, and dividing them by 100, which is called a square of flooring; the number of hundreds contained in the superficial contents in feet are squares, and the remainder feet. The method of measuring floors, is by squares of ten feet on each side; the dimensions being multiplied together, cut off two figures from the right of the product, and those towards the left give the number Of squares, and the two on the right are feet. EXAMPLE—Suppose the length of a floor 28 feet, and the breadth 24. 28 24 112 56 6,72 The product gives six squares, seventy-two feet. When a naked floor is squared, and the contents found, nothing is deducted for the chimney, because the extra thick- ness of the trimmers will make up for that deficiency. FLOOR, in carpentry, the timbers which support the board- ing, called also naked flooring. See CARCASE FLOORING, and NAKED FLOORING. FLOOR also denotes any portion of a building upon the same level: as basement-floor, ground floor, one-pair floor, two-pair floor, &C., but when there is no sunk story, the ground floor becomes the basement; the expressions one-pair floor, two-pair floor, &C., imply the floor above the first flight of stairs above ground, the floor above the second flight of stairs above ground, &c. The principal floor of every building is that which con- tains the principal rooms. III the country they are generally on the ground floor; but in town, on the one-pair-of—stairs floor. FLOOR JOISTS, or FLOORING JOISTs, such joists as support the boarding in a single floor; but where the floor consists of binding and bridging-joists, the bridgings are never called floor-joists. FLOORS or EARTH, or EARTHEN FLOORS, are commonly made of loam, and sometimes, especially to malt on, of lime, brook-sand, and gun-(lust, or anvil-dust from the forge ; the whole being well wrought and blended together with blood. The siftings of limestone have also been found exceedingly useful when formed into floors. Earthen floors for plain country habitations may be made as follows : take two-thirds lime and one Of coal-ashes, well sifted, with a small quantity of loam Clay: mix the whole together, and temper it well with water, making it up into a heap: let it lie a week or ten days, and then temper it again. After this, heap it up for three or four days, and repeat the tempering very high, till it becomes smooth, yielding, tough, and gluey. The ground being levelled, lay the floor with this material about two and a half or three inches thick, smoothing it with a trowel: the hotter the season, the better; and when it is thoroughly dried, it will make a good floor for houses, especially malt-houses. But should it be required to make the floor look better, take lime made of rag-stones, well tempered with whites of eggs, and cover the floor about half an inch thick with it, before the under flooring is quite dry. If this be well done, and 5 O thoroughly dried, it will appear, when rubbed with a little oil, as transparent as metal or glass. In elegant houses, floors of this nature are made of stucco, or plaster-of-paris, beaten and sifted, and mixed with other ingredients. Well- wrought coarse plaster makes excellent safe upper floors for cottages, out-houses, &c., when spread upon good strong laths or reeds. ' Very dry and comfortable floors may be formed by cover- ing the area of the rooms with a level stratum Of concrete, consisting of dry screened gravel or pounded stone, mixed with a small quantity of ground stone lime, or Portland cement, and laid about six inches in thickness ; over this, and before it sets, should be sifted a few ashes, or some fine gravel; which if worked in and well finished, gives a hard and even surface. This description of floor is similar to those used in Devonshire, which are proverbial for comfort and durability. The ordinary red paving tiles, 12 inches square, make very good, dry, and comfortable floors, and they are easily kept clean. Claridge’s asphalte of Seyssel, has also been used for the floors of basement stories, and answers very well, especially in damp situations. For stables, railway- stations, and places of a similar description, perhaps there is nothing better than wood. The wood-pavement Of the Metropolitan Wood Pavement Company, has been used with great success for such purposes—in the dock-yards by govern— ment; and by the railway companies, for their stations, 8w. FLOORING-CRAMP, a machine invented by Mr. Andrew Smith, for laying down floors. This machine is used with great facility, and enables a person accustomed to it, to get through his work with rapidity and ease; making very tight and close joints in his floors, with much less trouble than by the ordinary method. FLOORING-MACHINE, a machine for preparing complete flooring boards with great dispatch, and in the most perfect manner; the several Operations of sawing, planing, grooving, and tongueing, being all carried on at the same time, by a series Of saws, planes, and revolving Chisels. FLOOR-TIMBERS, the timbers on which a floor is laid. FLORID STYLE, in pointed architecture, that beautiful. style which was practised in England during the reigns of Henry VII. and Henry VIII. Its general external character consists of large arched windows, with very obtuse angles at the summit, and with numerous ramifications, consisting of light cuspidated mullions, filled with a variety Of polyfoils. The buttresses, instead of having always rectangular hori- zontal sections, frequently have those of polygons, as in Henry VII/5 chapel, and are crowned with cupolas. The walls are loaded with niches, pinnacles, and crockets, termi- nating in open mullion-wurk, forming a parapet, or kind of balustrade, finished with finials or spiracles. The walls are decorated interiorly with panelling, moulded string-courses, niches, canopies, and other kinds of tracery, vaulted over with fan-groins. See GOTHIC ARCHITECTURE. FLUE, a passage for smoke in a Chimney, leading from the fireplace to the top of the shaft, or into another passage. See CHIMNEY. The same term is also applied to passages in walls made for the purpose of conducting heat from one part of a build- ing to another. Flues in hot-houses and vineries, frequently make numer- ous turns on the floor, and then ascend to the wall with several horizontal turnings. In the construction of a stack of chimneys, particular care should be taken that the drawings show distinctly the turn- ings of the fines; this will prevent mistakes, and save the l apartments from being incommoded with smoke. \ F~ L U 418 FON FLUSH, a term among workmen, signifying a continuity of surface in two bodies joined together. Thus in joinery, the style, rails, and munnions are generally made flush; that is, the wood of one piece on one side of the joint does not recede from that on the other. FLUSH, in masonry or bricklaying, signifies the aptitude of two brittle bodies to splinter at the joints, when the stones or bricks come in contact when joined together in a wall. FLUSH AND BEAD. See BEAD AND FLUSH. FLUTES, or FLUTINGS, prismatic cavities depressed within the surface of a piece of architecture at regular distances, generally of a circular or elliptic section, meeting each other in an arris; or meeting the surface in an arris, and leaving a portion of the surface between every two cavities of an equal breadth; or diminishing in a regular progression; according as the surface is plane or curved, or applied to a prismatic or’tapering body. When a portion of the surface is left between every two flutes, that portion is called a fillet. When the flutes are parallel, or diminish according to any law, the fillets are also parallel, or diminish in the same degree. The proportion of each fillet to a flute is from a third to a fifth of the breadth of the flute. That species of fluting, in which the flutes meet each other without the intervention of fillets, is- generally applied to the Doric order; and that with fillets, to the shafts of the Ionic and Corinthian orders. The flutes most frequently terminate in a spherical or spheroidal form, particularly in those which have fillets. In the Ionic order of the temple of Minerva Polias at Athens, the upper ends of the fillets of the shafts of the columns terminate with astragals, projecting from the surface of the fillet: the astragals may begin at a small distance from the top of the shaft, ascend upwards, and bind round the top of the flute. In the Corinthian order of the monument Of Lysicrates, at Athens, the upper ends of the fillets break into leaves in a most beautiful manner. In the Doric examples of the temple of Theseus, and of the temple of Minerva at Athens, and of the portico of Philip king of Macedon, in the island of Delos, the upper ends of the flutes terminate upon the superficics of a cone, immediately under the annulets, in a tangent to the bottom of the curve of the echinus of the capital. The same kind of termination takes place in the temple of Apollo at Cora, in Italy ; but in this example, the conic termination of the flutes is not under the abacus, but at a small distance down the shaft, leaving a small part quite a plain cylinder, and thus forming the hypotrochelean or neck of the capital. In other ancient examples of the Doric order, the flutes terminate upon a plane surface perpendicular to the axis of the columns, or parallel to the horizon, as in the Propylea at Athens. Palladio, and other Italian authors, have terminated the flutes of the shafts of their designs of Doric columns in the segments of spheres tanged by the surfaces of the tinting. In the temple of Bacchus, at Teos, in Ionia, the lower extremities of the; flutes descend into the scape of the column. The Greeks never applied fluting to any member of the Doric order, except the shaft, and this was their general practtce. Fluting was used by the Romans almost in every plane, and in every cylindrical surface. See a very fine specimen in the corona of the cornice of the temple of Jupiter Stator, at Rome. The number of flutes in the Doric order is twenty, and in the Ionic, Corinthian, and Composite, twenty-four. Flutes are sometimes filled with cables or staves, except in the l Doric order. The cables do not reach higher than one-third of the entire column. See COLUMN, CABLE. FLUXIONS, in mathematics, the analysis of infinitely small variable quantities, or a. method of finding an infinitely small quantity, which being taken an infinite number of times, becomes equal to a quantity given. gThe doctrine of fluxions, first invented by Newton, is of great use in the investigation of curves, and in the discovery of the quadra- tures of curvilinear spaces and their rectifications. FLYERS, a series of steps, whose treads are all parallel. FLYING BRIDGE. See BRIDGE. FLYING BU’I‘TRESSES, in pointed architecture, arches rising from the exterior walls up to those of the nave of an aisled fabric, on each side of the edifice, for counteracting the lateral pressure Of a groined or vaulted roof. The contrivance of flying buttresses is due to the architects of the middle ages, and shows their skill in the application of mechanics to the science of architecture. See BUTTRESS. FOCUS, (Latin) in geometry, and in the conic sections, a point on the concave side of a curve, to which the rays are reflected from all points of such curve. FOCUS, an altar, a hearth or fire-place: the Latin motto, pro aris etfocis, is said to bederived from this word. FOCUS, of an ellipsis, hyperbola, or parabola, is particularly defined under the heads of ELLIPIIC CURVE, HrrsnnOLIo CURVE, and PARABOLIC CURVE. F ODDER, FUDDER, or FOTHER, (Saxon) a certain quan- tity, proportioned by weight. The weight of the fodder varies, in different counties, from 19% cwt. to 2+ cwt. Among the plumbers in London, the fodder is 19% cwt., but at the Custom House 20 cwt. of 1121b. FOILS, the small arcs in the tracery of Gothic windows, panels, &c., which are said to be trefoiled, quatret'oiled, cinquefoiled, multifoiled, &c., according to the number of arcs which they contained. An arch with foils in its tracery is called a failed arc/z. See CUSP and FOLIATION. FOILs, FOLIATIONS, the spaces between the cusps employed in the ornamentation of Gothic buildings. FOLDED FLOOR. See FLOOR. FOLDING DOORS, such as are made in two parts, hung on opposite jambs, and having their vertical edge rebated, so that when shut, the rebates may lap on each other. To conceal the meeting as much as possible, a bead is most frequently run at the joint on each side of the doors. FOLDING JOINT, a joint made like a rule-joint, or the joint of a hinge. FOLDS, or F LAPS, of shutters, those parts that are hinged to the shutters, and concealed behind when the shutters are i in the boxings, so as to cover the breadth of the window when the shutters and flaps are folded out in the breadth of the aperture. Folds are necessary when the walls are so thin as not to admit of shutters of sufficient breadth, when put together, to cover the opening. FOLIAGE, in architecture, an artificial arrangement of leaves, fruit, &c. See Onxxnsxrs. FOLIATION. See Fons. FONT, (from the Latin,fons) the vessel used in churches to hold the water consecrated for the purposes of baptism. In the early church, the baptistery formed a separate building, numbered amongst the exhedrae or outbuildings ‘ which were detached from the church, but enclosed within ‘ the consecrated area. \l‘ithin the baptistery was the font or reservoir. These separate buildings continued to prevail till the sixth century, when all occasion for adult baptism , ceased, and fonts within the church became general. Many l baptisteries, however, still exist in various parts of the ; FON 419 F00 Continent, although there seem to be no specimens in Eng- land, unless indeed we consider as such the building surround- ing the font at Luton church. This structure is octagonal, about twenty-eight feet high, having open arches at the sides, and a stone roof, the font being placed in the centre, thus forming a small oratory capable of holding seven or eight persons. A similar canopy occurs at Trunch, Norfolk, but it is of wood, and hexagonal. The material in use for fonts, is for the most part of stone lined with lead, but we have some notice of fonts of metal ; that at Canterbury is reported to have been of silver, and that taken from Holyrood Chapel, and brought to St. Alban’s, was of brass. There is also a. font at Chobham, Surrey, which consists of a leaden basin enclosed within a screen of oak panelling, the date of which is about A.D. 1600. The situation of the font is within the church, near the door, either in the aisle next the porch, against one of the piers between the aisle and nave, or in the nave near the west end. The most rude fonts are in shape little better than large stones, without any definite external form, but having a space hollowed out at the top in the shape of a bason ; such is that in the church of Little Maplestead. Norman fonts are either of a cylindrical or cubical form; but which shape is the earlier, it is not easy to decide. In some instances the cylindrical fonts taper towards the base; and at St. Martin’s, Canterbury, the reverse proportion is adopted. Next to these forms came the square stone hollowed out in the centre, supported on a massive cylindrical stem, or on a central stem, and four smaller shafts, one at each corner, specimens of which form exist at Lincoln cathedral, and Iffley church, Oxfordshire. In all these instances, the sides of the font are ornamented with rude sculpture in low relief, frequently of groups, and sometimes of single figures con- tained in shallow niches, as at Stanton Fitzwarren, lVilts. Symbolical representations are frequently introduced, as are also scenes from the Sacred Writings, especially of such events as relate to the subject of baptism. On the font at Castle Frome, Herefordshire, is a representation of the Baptism of Christ, which is a very favourite subject, the same occurring at Bridekirk, in Cumberland, and lVest Haddon, in Northamptonshire. Another usual subject is the Fall of Man, as at East Meon, Hants. . Early English fonts are in form very similar to those of the preceding style, but they are readily distinguished by their ornamentation, which consists of work peculiar to this style; the details also are of better execution. The octagonal was a new form introduced into this style. Decorated and Perpendicular fonts are for the most part octagonal, and most frequently supported on a central stein ; many of them are of most beautiful form and workmanship. Those of the .ater period are usually covered with panelling, and have the sides filled up with armorial bearings. Hexagonal fonts are sometimes, though not commonly, found; we have instances at Carlisle cathedral, Farringdon, Berkshire; and Bredon, Worcestershire. Five and seven-sided fonts are extremely rare; of the former we have an example at Hollington, Sussex. At Patrington and Saddington, Leices- tershire, we find fonts of twelve sides; and at Stainburn, Yorkshire, one of fifteen sides; but these are purely excep- tions : the octagonal form is the most common, as it is also the most appropriate. The font is usually raised on one or more steps, the sides or risers of which are often in the later styles decorated with panelling, quatrefoils, 8w. Fonts were furnished with covers, which Edmund, archbishop of Canterbury, A.D., 1236, ordered to be locked down. They ‘ were probably in the earlier periods merely flat lids of wood, but in later times they were carried up in the form of a spire . to a great height, ornamented with pinnacles and buttresses, with erockets, finials, and other ornaments; and not unfre- quently the whole of the sides were pierced with the most elaborate panelling. FONTANA, DOMINIC, a distinguished architect, born in 1543, at a village on the lake of Como. Having acquired the elements of geometry, he went to Rome, where his elder brother John was a student in architecture. Here he applied himself most diligently to the study of the works of antiquity, and at length was employed by Cardinal Montalto, afterwards Pope Sextus V. Montalto had already begun to display the magnificence of his character, by undertaking the construction of the grand chapel of the Manger, in the church of St. Maria Maggiore. The pope, Gregory XIII., jealous of the munificence of his cardinal, took from him the means of his designs, and thus put a stop to the works. Fontana, with a spirit worthy of a great man, went on with the building at his own expense, which so gratified the cardinal, that when he was raised to the pontifical chair, he appointed Fontana to be his architect. The chapel and palace were finished in a splendid style ; but this was a small part of the designs projected by Sextus. Besides completing the dome of St. Peter’s, he resolved to contribute to its grandeur, by conveying to the front of its piazza the obelisk, of a single piece of Egyptian granite, which had formerly decorated the Circus of Nero. This design had been contemplated by some of the prede- cessors of Sextus, but none had actually attempted it. Sextus summoned architects and engineers from all parts, to consult upon the best means of efi‘ecting his purpose ; Fontana’s plan obtained the preference, and he was able to execute what he had advanced in theory. This was regarded as the most splendid exploit of the age ; and rewards and honours of the most magnificent kind were bestowed on Fontana and his heirs. He was afterwards employed in raising other obelisks, and in the embellishment of the principal streets of Rome. He built the Vatican library, and had begun to make considerable additions to that place; but they were inter- rupted by the death of Sextus. One of Fontana’s great works was the conductng of water to Rome, the distance of fifteen miles, in an aqueduct supported on arcades. The successor of Sextus, Clement VIll., was prejudiced against the papal architect, and dismissed him; but his reputation caused him to be engaged by the viceroy of Naples as archi- tect to the king. He accordingly removed to Naples, in 1592, where he executed many works of consequence. His last efforts were directed to a new harbour at Naples, but this he did not live to complete. He died at Naples .in 1607, in his sixty-fourth year. FOOT, (Saxon) a measure, either lineal, superficial, or solid. The lineal or long foot is supposed to be the length of the foot of a man, and consists of twelve equal parts called inc/res; an inch being equal to three barleycorns. Thus the English standard foot (31 Edw. I.) is : 12 lineal English inches, : 3G barley-corms, : 16 digits, :4 palms, :3 hands, : 5—1; nails, :1{.; spans, : 1.5151 Gunter’s links, :.938306 feet of France, : .3047 metres of France. Geometricians divide the foot into 10 digits, and the digit into 10 lines, 8:0. The French divide their foot, as we do, into 12 inches; and the inch into 12 lines. See MEASURES. The foot square is the same measure, both in length and breadth, containing 144 square or superficial inches, : 2.295681 square links ; and the glazier’s foot in Scotland is = 64 square Scottish inches. The cubic, or solid foot, is the same measure in all the FOO 420 three dimensions, containing 1728 cubic inches English = 6.128 ale gallons = 3.478309 cubic links : .0283 cubic metres or steres of France. The foot is of ditTe1cnt lengths in difl'elent countries. The Paris royal foot exceeds the English by nine lines and a halt'; the ancient Roman foot of the Capitol consisted of few palms, equal to eleven inches and seven- -tenths English ; the Rhinland, 01 Leyden foot, by which the northeln nations go, is to the Roman foot as 950 to 1,000. ’1he po1tions of the piincipal feet of seve1a1 nations, compared with the English and French, ale 11e1e subjoined. The English foot being divided into one thousand pa1ts, or into twelve lines, the other feet will be as follow: Th. Pts. Ft. Inch. Li. London........................ Foot 1000 .. 0 12 0 Paris foot, the royal, by Greaves 1068 1 0 9.7 Paris foot, by Dr. Bernard 1066 1 0 9.5 Paris foot, by Graham, from the measure of half the toise of the Chatelet, the toise containing six Pans feet. ........... 1065.416 1 0 9.8 By Monnie1, from the same data 1065.351 1 0 9 F1om both these it may be fixed at 1065.4 . . 1 0 9.4 Amsterdam ........ . ......... Foot 942 . 0 11 3 Antwerp ..... ........ . 946 .. 0 11 3.57 Dort ................ .. ......... 1184 . 1 2 2 Rhinland, or Leyden ........ . ...... 1033 . 1 0 4 Lorrain ............. . .......... 958 .. 0 11 5 :Meehlin .............................. 919 .. O 11 O Nliddleburg ........................ 991 .. 0 ll 10 Strasburg ....... . ................ 920 .. 0 ll 0 B1emen .................... . ........ . 964 .. O 11 6 Cologne ......... . ................. .. 954 .. 0 11 5 F1111111101t 011 the Maine ............ 948 0 ll 4 Spanish ........ . .................. 1001 l 0 0 Toledo .. ..... . ........... . .......... 899 0 10 7 Roman . ............................. 967 .. 0 11 6 Bononia ............................. . 1204 l 2 5 1V1antua ....... . .......... 1569 .. 1 O 9 Venice . ............................. 1162 .. 1 1 11 Dantzic ............................. . 944 .. 0 11 3 Copenhagen ....................... . 965 0 11 6 Prague .................. 1026 1 0 3 Riga ........................... 1831 1 9 ll Turin ............... 1062 1 0 8 The Greek .................... . 1007 1 0 1 Old Roman ........ . .................. 970 . 0 11 7.6 Roman foot, from the monument of Cossutius in Rome, by Greaves 967 0 11 7.2 From the monument of Statilius, by the same. . 972 0 11 7.9 Of Villalpandus, deduced f1 om the congius ot Vespasian............ 986 O 11 9.9 Mr. Rapier, who industriously collected a variety of authorities relating to the measure of the old Roman t'oot, determined the mean to be nearly 968 thousandth parts of the London foot. And by an examination of the ancient ; Roman buildings in Desgodetz’s Edg'flces Antiques de Rome, 3 Paris, 1682, he concluded that the Roman foot, before the reign of Titus, exceeded 970 parts in 1000 of the London foot ; and in the reigns of Severus and Diocletian fell short of 965. The Paiis foot being supposed to contain 1440 parts, the rest will be as iollow— .— F O R Paris Foot 1440 Rhinland.............................. 1391 Roman................ ............ 1320 London ............ 1350 Swedish ...... ............. .. 1320 Danish................... ............ .. 1403 Venetian .................. 1540§ Constantinopolitan ................ .. 3120 Bononian . . ............................ 1682§ Strasburg ......... .. ....... . ..... 12825 Nuremburg ...... . ..... . .............. 1346; Dantzic ................. 172% Halle .................. .. ......... . 1320 In Scotland, this measure of length, though consisting of twelve inches, exceeds the English foot, so that 185 of the former is equal to 186 of the latte1. -‘Acc01dingly the Scot- tish foot: 12 Scottish inches :12 —1- English inches, accmding to some, and 12— English inches, oacco1ding to others. The glaziei’s in Scotland: 8 Scottish inches. For a farther account of the foot, ancient and modern, and its proportions in different countries. See MEASURE. FOOT-BANK, or F COT-STEP, in fortification. See BAN- QUEI‘TE. FOOT -BASE, the moulding above the plinth of an apartment. FOOT- BRIDGE, a narrow bridge for foot-passengers. See BRIDGE. FOOT OF THE EYE DIRECTOR, in pe1spective, that point in the di1eeting line which is made by a vertical plane pass- ing through the eye and the centre of the picture. FOOT OF A VERTICAL LINE, in perspective, that point in the intersecting line, which is made by a vertical plane passing through the eye1 and the centre of the picture. FOOT IRONS, in engineeling, pieces of iron plate, used by navvigatms, o1 canal- diggers, to tie upon that part of the sole ot~ their shoes with which they st1ike the top of their spade or grafting tool, in digging ha1d soil. FOOT-PACE, in l1and-1ailing, a flat space in some stairs, always situated between the starting, or first step, and the landing. See STAIRCASING. FOOT-PACE, the dais or raised floor at the upper end of an ancient hall. FOOT-STALL, the base or plinth of a pillar. FOOTING-BEAM, a term used in Cumberland, “'est- morcland, Somersetshire, and perhaps in other counties, for the tie-beam of a roof. FOOTINGS, in bricklaying and masonry, projecting courses of stone, without the naked of each face of a superincumbent wall, used as a base to the wall, in order to prevent it from sinking and rocking by heavy winds. FOOTING DORMANT, the tie-beam of a roof; the term is used in \Vestmoreland. FORCE, (from the Latin, fortis, strong) in philosophy, the cause of motion in a body, when it begins to move, or when it changes its direction from the course in which it was previously moving. “’l1ile a body remains in the same state, whether of rest or of uniform and rectilinear motion, the cause of its so remaining is in the nature of the body, which principle has reCeived the name of inertia. Mechanical force is of two kinds : that of a body at res by which it presses on “hatev e1 suppoits it, and that ot a body in motion, by which it is impelled towaids 11 certain point. '1he tor‘mei is called by the names or pressure, tension, jbrce, ‘vis mortua, &c., the latte1 is known by the appellation 01 moving force, or vis viva. To the 11151: 01 these are 1895 foot 1m FOR 421 FOR. referred centrifugal and centripetal forces because, though they also reside in the vis viva, they are homogeneous to weights, pressures, or tensions of any kind. For want of a true knowledge of the nature of force, we are accustomed to consider its measure by velocity, upon the supposition that, under precisely similar circumstances, the velocity is equal to the force; an hypothesis highly probable, though not easily demonstrable. Velocity itself is a compound idea, derived from a certain relation between time employed and space described. Thus, if two bodies be supposed to move uniformly upon two different lines, the distances which they describe upon their respective lines in any given time, may be measured and represented by some standard measure, from which we acquire an idea of their relative velocity or force; and considering velocity as an abstract number, it is said’to be equal to the space divided by the time ; and thus we are led to consider velocity, or the space described in a given time, as the measure of force. Force may also be expressed by other functions of velocity ; for it may be proportional to the square or cube of the velocity ; and La Place has very ingeniously proved that the difference between the proportionality of force to velocity, if any really exists, must be extremely small ; whence he argues it is highly improbable that any does exist. If there were any material variation in this law, the relative motions of bodies on the surface of the earth would be sensibly affected by the motion of the earth; in other words, the effect of a given force would vary considerably, according as its direction coincided with, or was opposed to, that of the earth’s motion. The effects of the same apparent forces would likewise vary in different seasons of the year; the velocity of the earth being less by about one-thirtieth in summer than it is in winter. But as no such variation is discernible, we mayjustly conclude the proportion between force and velocity to be as 1 to 1 ; that is, there’is no diffe- rence. To illustrate this, suppose two bodies moving upon one straight line with equal velocities ; by impelling one of them with a force which increases its original force, its relative velocity to the other body remains the same as if both had been primitively in a quiescent state. The space described by the body, in consequence of its original force, and of that which has been added to it, becomes equal to the sum of what each of them would have caused it to have been, described in the same time ; therefore the force is proportional to the velocity. This law, and that of inertia above alluded to, may be considered as derived from observation and experiment : they are simple and natural, and are sufficient to serve as a basis for the whole science of mechanics. Early in the last century, a warm controversy arose relative to the measure of force, which was carried on with consider- able acrimony, though it now appears that the question was rather about words than facts. Sir Isaac Newton had defined the measure of force to be “the mass of a body multiplied into its velocity ;” which definition was not only convenient for the philosophical investigation in which he was engaged ; but was really mathematically just. But in another point of view, in which the effects of force may be said, without any impropriety, to depend on the mass multiplied into the square of the velocity, this product has been called the vis viva, and was considered by Bernouilli and Leibnitz as the true and universal measure of force, in opposition to Sir Isaac’s defi- nition; though it now appears that they were led into an error by not duly considering all the circumstances of the question at issue. The measure adopted by them, the vis viva, however, merits attention, as in all cases of practical machinery it is frequently the most accurate, and always the 5P most useful ; at the same time it implies no contradiction to the Newtonian definition. But the force thus measured ought to be distinguished by some appropriate name, 6. g. the vz's nzecharn'ca; the Newtonian measure being applied to the vi! matrix, as suggested by Mr.VVollaston in the Bakerian Lecture for 1805. FORCE, Direction of; the straight line which it tends to make a body describe. FORCES, Composition of. If two forces be conceived to act on a material point, it is evident that if they both act in the same direction, they will mutually increase each other’s effect ; but if they act in opposite directions, the point will move only in consequence of their difference, and it would remain at rest if the forces were equal. If the directions of the two forces make an angle with each other, the resulting force will take a mean direction ; and it can be demonstrated geometrically, that if, reckoning from the point ofintersection 0f the two directions of the forces, we take on these directions straight lines to represent them, and then form a parallelogram with such lines, its diagonal will represent their resulting force, both as to its direction and magnitude. The resulting force thus determined, which likewise represents the velocity of the moving point, may therefore be substituted as a force equivalent to the two component forces; and reciprocally, for any force whatever, we may substitute any two forces, which according to this rule would compose it. Hence we see that any force whatever may be decomposed into any two forces, parallel to two axes situated in the same plane, and perpendicular to each other. To effect this, it is only neces- sary to draw from the first extremity of the line representing the force, to other lines parallel to the axis, and to form with such lines a rectangle, whose diagonal will be the force required to be decomposed. The two sides of this rectangle, or parallelogram, will represent the forces into which the given force may be decomposed, parallel to such axis. If the force be inclined to a plane in position, a line in its direction may be taken to represent it, having one of its extremities on the surface of the plane, and the perpendicular falling from the other extremity will be the primitive force decom- posed in the direction perpendicular to the plane. The straight line, which in the plane joins the other extremity of the line representing the force with the perpendicular (or the orthographic projection of the line of the plane) will repre- sent the primitive force decomposed, parallel to the plane. This second partial force may itself be decomposed into two others, parallel to two axes in the same plane, perpendicu- lar to each other. Thus we see that every force may be decomposed into three others, parallel to three axes perpen- dicular to each other; which axes are termed rectangular co-ordz'nates. Hence we have a very simple mode of obtaining the resulting force of any number of forces supposed to act on a material point. This method was first adopted by Maclaurin, followed by La Grange, in the ZWc/zanique Analytique, and also by La Place in the Méclzanique Céleste. By decompOSing each of these forces into three others, parallel to the given axes in position, and perpendicular to each other, we have all the forces parallel to the same axis reduced to one single force, which latter will be equal to the sum of the forces acting in the same direction, minus the sum of those acting in a contrary direction: so that the point will be acted on by three forces perpendicular to each other. From the point of intersection, or origin of the co-ordinates, take three right lines to represent them in each of their directions, and on such lines form a rectangular parallelopipedon, and the diagonal of this solid will represent the quantity and direction of the resulting force of all the forces acting on the point. FOR 422 FOR The principle of the composition of forces is of the most extensive utility in mechanics, and is in itself sufficient for determining the law of equilibrium in every case. Thus, if we successively compose all the forces, taking them by two’s, and then take the result as a new force, we obtain one that is equivalent to all the rest, and which, in case of equilibrium, must equal 0, when the system under consideration has no fixed point; but if the conditions of the problem insist on an immoveable point, the resulting force must necessarily pass through it. Though it is admitted by all writers on this subject, that the most abstruse propositions may be deduced from a few simple principles, yet few are found who entirely agree in their choice of such principles. The most advantageous, and indeed the most natural method, seems to be that wherein the relation between various forces in a state of equilibrium is first investigated, and then the consideration extended to a body in motion. If a body remain in equilibrium, at the same time that it is solicited by several forces, each force is supposed to produce only a tendency to motion, which is measured by the motion it would produce were it not checked by the power of the others : therefore, after expressing the effect of any one of the forces by unity, the relative force of the others may likewise be expressed by words or numbers. La Place merely assumes the two foregoing principles, and speaks of them as experimental facts ; while Dr. Young does not scruple to declare them capable of demonstration. (See his Lectures.) But this difference of opinion is of little import- ance, since the principles themselves are universally admitted. ‘ La Grange has founded the whole doctrine of the equi- librium of forces on the well-known principle of the lever, the composition of motion,and the principle of virtual velocity; each of which we shall here notice. The principle qftlie lever may be derived from the com- position of forces, or even from much less complicated con- siderations. Archimedes, the earliest author on record, who attempted to demonstrate the property of the lever, assumes the equi- librium of equal weights at equal distances from the fulcrum, as a mechanical axiom; and he reduces to this simple and primitive case that of unequal weights, by supposing them, when commensurable, to be divided into equal parts, placed at equal distances on different points of the lever, which may thus be loaded with a number of small equal weights, at equal distances from the fulcrum. _ The principle of the straight and horizontal lever being admitted, the law of equilibrium in other machines may be deduced from it. Though it is not without difficulty that the inclined plane is referred to this principle ; the laws relative to which have been but lately known. Stevinus, mathematician to Prince Maurice of Nassau, first den’ionstrated the principle of the inclined plane by a very indirect, though curious mode of reasoning. He con- siders the case of a solid triangle resting on its horizonal base, whose sides then become two inclined planes: over these he supposes a chain to be thrown, consisting of small equal weights threaded together; the upper part of such chain resting on the two inclined planes, and the lower ends hanging at liberty below the foot of the base. His reason- ing is, that if the chain be not in equilibrio, it will begin to slide along the plane, and would continue so to do, the same cause still existing, for ever; thus producing a perpetual motion. But as this implies a contradiction, we must con- clude the chain to be in equilibrio; in which case, as the efforts of all the weights applied to one side would be an exact counterpoise to those applied to the other, and the number of weights would be in the same ratio as the lengths of the planes ; he Concludes that the weights will be in equilibrio on the inclined planes when they are to each other as the lengths of the planes; but that when the plane is vertical, the power is equal to the weight; and that therefore, in every inclined plane, the power is to the weight as the height of the plane to its length. Virtual velocity is that which a body in equilibrium is disposed to receive whenever the equilibrium is disturbed; in other words, it is what a body actually receives in the first moment of its motion. The principle of virtual velocity, in its most general form, is as follows : suppose a system in equilibrium composed of a. number of points, drawn in any direction, by whatever forces, to be so put in motion, as that every point shall describe an infinitely small space, indicative of its virtual velocity; the sum of the forces being each multiplied by the space described by the point to which it is applied, in the direction of the force, will equal 0; the small spaces described in the direction of the forces being estimated as positive, and those in a contrary direction as negative. Galileo, in his Treatise on Mechanical Science, and in his Dialogues, proposes this principle as a general property in the equilibrium of machines ; he appears to have been the first writer on mechanics, who was acquainted with it. His disciple Torricelli was the author of another principle, which seems to be but a necessary consequence of Galileo’s. He supposes two weights to be so connected, that however placed, their centre of gravityshall neither rise nor fall ; in every situation, therefore, they will be in equilibrio. He [contents himself with applying this principle to inclined planes ; but it equally applies to all machines. Des Cartes deduced the equilibrium of different forces from a similar principle ; but he presented it under another, and less general point of view, than Galileo had done; for he argues that to lift a given weight to a certain height, pre- cisely the same force is requisite that would be sufficient to raise a heavier to a height proportionally less, or a lighter to a height proportionally greater ; therefore two unequal weights will be in equilibrio, when the perpendicular spaces described by them are reciprocally proportional to them. In the appli- cation of this principle, however, only the spaces described in the first instant of motion are to be considered ; otherwise the accurate law of equilibrium will not be attained. Another principle, recurred to by some authors in the solution of problems relative to the equilibrium of forces, arises out of the foregoing, 'viz. “Then a system of heavy bodies is in equilibrio, the centre of gravity is the lowest , possible. when the differential of its descent is O, as can be demon- For the centre of gravity of a body is the lowest, ‘; strated from the principle de mawimas et mini/nus; that is, ; when the centre of gravity neither ascends nor descends by an infinitely small change in the position of the system. J. Bernouilli first perceived the great utility of generalizing this principle ofvirtual velocity, and applied it to the solution of problems ; in which he was followed by Varignon, who . has devoted the whole of the ninth section of his Abum'lle fllec/ianique to demonstrate its truth and exemplify its utility ‘ in various cases in statics. In the fllémoires de l’Acade’mie for 17-10, Maupertuis pro- posed another principle, originating in the same source. under the title of “The Law of Repose ;” which was afterwards extended by Euler, and explained in the Memoirs of the Berlin Academy for 1751: and the principle assumed by Mons. Courtivron, in the .Mémoires de l’Academie for 1748-9. is of the same nature : viz, that of all the situations which a system of bodies can successively take, that wherein the ' FOR 423 FOR system must be placed to remain in equilibrio, is that in which the vis viva is either a maximumor a minimum, because the vis viva is the sum of the respective masses composing the system, each multiplied into the square of its velocity. Of all these methods, that of virtual velocity appears to be most generally useful ; indeed all the others are derived from it, and are serviceable in proportion as they approach nearer to it. La Grange has given practical examples of the ana- lytical processes for determining general formulae or equations for the equilibrium of any system ; and La Place has demon- strated the principle on which the calculus is founded. In the foregoing observations, force is supposed to be the product of the mass of a material point, by the velocity it would receive if entirely free. By confining these conside- rations to the case of a single material point, the conditions of equilibrium will be found to be analogous to those above spoken of, but much simplified. The most elementary equation to express the state of equi- librium ofa material point, acted on by any number of forces, is, that every force, multiplied by the element of its direction, equals 0: thus, suppose the point to change its position in an infinitely small degree in any direction ; then, in the case of equilibrium, if every force be multiplied by the elementary space approached to, or receded from by the point, the force being estimated in its direction, the product will be 0. Here the point is supposed to be free ; but if constrained to move on a curved surface, it will experience a reaction equal and contrary to the pressure which it exerts on such surface, but perpendicular to it, or in the direction of the radius of the curve. This reaction may be considered as a new force, which, multiplied by the elements of its direction, must be added to the former equation. But if the variation of position, instead of being taken arbitrarily, be taken upon the curve, so as not to alter the conditions of the problem, the preceding equation will still hold good, because the elementary variation of the radius is equal to 0, as is evident from inspection. Again,” if the magnitude of any force, or its intensity, multiplied by the distance of its direction from any fixed point, be denominated its moment, relatively to such point, it will be found that the sum of the moments of the producing forces is always equal to that of the resulting force ; and in case of equilibrium, the sum of the moments of all the forces equals 0. Ifthe forces acting on a point, or on a system of points, he not so proportioned as to maintain the system in equi- librium, a motion must necessarily take place, the laws of which may be deduced from an extension of the principles laid down for investigating the state of equilibrium ; a method pursued by La Grange, and after him by La Place. The former combines the principle of virtual velocities with that of D'Alembert, which is very simple, and, though long unob- served, may be considered as an axiom. It is as follows : If several bodies have a tendency to motion, in directions, and with velocities, which they are constrained to change in consequence of their reciprocal reaction ; the motion so induced may be considered as composed of two others, one of which the bodies actually assume, and the other such, that had the bodies been only acted upon by it, they would have remained in equilibrium. This theorem is not of itself sufficient to solve a problem, because it is always necessary to derive some condition relative to the equilibrium from other considerations; and the difficulty of determining the forces and the laws of their equilibrium, sometimes renders this application more difficult, and the process more tedious, than if the solution were performed upon some principle more complex and more indirect. To obviate this objection, there- fore, La Grange attempted to combine the principle of D’Alembert with that of virtual velocity ; in which he was so successful, that he was enabled to deduce the general equations relating to the forces acting on a system of bodies. His description of this method is as follows : To form an accurate conception of the mode in which these principles are applied, it is necessary to recur to the general principle of virtual velocity, viz. When a system of material points, solicited by any force, is in equilibrium, if the system receive ever so small an alteration in its position, every point will naturally and consequently describe a small space ; each of which spaces being multiplied by the sum of each force, according to the direction of such force, must equal 0. Now supposing the system to be in motion, the motion that each point makes in an instant may be considered as composed of two, one of them being that which the point acquires in the following instant; consequently, the other must be destroyed by the reciprocal action of the points or bodies upon each other, as well as of the moving forces by which they are solicited. There will therefore be an equilibrium between these forces and the pressures or resis- tances resulting from the motions lost by the bodies from one instant to another. Therefore, to extend to the motion of a system of bodies, the formulas of its equilibrium, it is only necessary to add the terms due to the lastnmentioned forces. The decrement of the velocities, which every particle has in the direction of three fixed rectangular co-ordinates, represents the motions lost in those directions; and their increment represents such as are lost in the opposite direc- tions. Therefore, the resulting pressures or forces of these motions destroyed will be generally expressed by the mass multiplied into the element of the velocity, divided by the element of the time; and their directions will be directly opposite to those of the velocities. By these means the terms required may be analytically expressed, and a general formula obtained for the motion of a system of bodies, which will comprehend the solution of all the problems in dynamics; and a simple extension of it will give the necessary equations for each problem. A great advantage derived from this formula is, that it gives directly a number of general equations, wherein are included the principles or theorems, known under the appella- tions of conservation of the vis viva; conservation of the motion of the centre of gravity ; conservation of equal areas ; and the principle oft/ac [east action. Of these, the first, the conservation of Me vis viva, was discovered by Huygens, though under a form somewhat different from that which we now give to it. As employed by him, it consisted in the equality between the ascent and desce t of the centre of gravity of several weighty bodies, which descend together, and then ascend separately by the force they had respectively acquired. But by the known properties of the centre of gravity, the space it describes in any direction is expressed by the sum of the products of the mass of each body by the space such body has described in the same direction, divided by the sum of the masses. Galileo, on the other hand, has shown in his problems, that the vertical space described by a weighty body in its descent. is proportional to the square of the velocity acquired, and by which it will reascend to its former elevation. The principle of Huygens is therefore reduced to this ; that in the motion of a system ofbodies, the sum of the masses by the squares of the velocities is constantly the same, whether the bodies descend conjointly, or whether they freely descend separately through the same vertical channel. This principle had been considered only as a simple 1“ O R theorem of mechanics, till J. Bernouilli adopted the distinc- tion, established by Leibnitz, between such pressures as act without producing actual motion, and the living forces, as they were termed, which produced motion; as likewise the measure of these forces by the products of the masses by the squares of the velocities.~ Bernouilli saw nothing in this principle but a consequence of the theory of the vis viva, and a general law of nature, in consequence of which, the sum of the vis viva of several bodies preserves itself the same, as long as they continue to act upon each other by simple pres- sures, and is always equal to the simple vis viva, resulting from the action of the forces by which the body is really moved. To this principle he gave the name of conservatio viviam vivarum, and successfully employed it in the solution of several problems that had not before been effected. From this same principle, his son, D. Bernouilli, deduced the law of the motion of fluids in vases, which he explains in the Berlin Jilemoirs for 1748 : a subject before but little understood. The advantage of this principle consists in its affording immediately an equation between the velocities of the bodies and the variable quantities which determine their position in space; so that when by the nature of the problem these variable quantities are reduced to one, the equation is of itself sufficient for its solution, as in the instance of the problem relating to the centre of oscillation. In general, the conservation of the vis viva gives a first integral of the several differential equations of each problem, which is often of great utility. The second principle above alluded to, conservation cf the motion oftlie centre ofgravity, is given by Sir Isaac Newton in his Principia, as an elementary proposition; where he demonstrates, that the state of repose or of motion of the centre of gravity of several bodies, is not altered by the recip- rocal action of these bodies, in any manner whatever: so that the centre of gravity of bodies acting upon each other, either by means of cords or of levers, or by the laws of attraction, remains always in repose, or move uniformly in a direct line, unless disturbed by some exterior action or obstacle. This theorem has been extended by D’Alembert, who has demon- strated, that if every body in the system be solicited by a constant accelerating force, either acting in parallel lines, or directed towards a fixed point, but varying with the distance, the centre of gravity will describe a similar curve to what it would have done, had the bodies been free. And, it might be added, the motion of this centre will be the same as if all the forces of the bodies were applied to it, each in its proper direction. This principle serves to determine the motion of the centre of gravity, independently of the respective motions of the bodies; and thus it will ever afford three finite equations between the co-ordinates of the bodies and the times; and these equations will be the integrals of the differential equations of the problem. The third principle, the conservation of equal areas, is more modern than the two former, and appears to have been separately discovered by Euler, D. Bernouilli, and D’Arcy, about the same period, though under different forms. Euler and Bernouilli describe the principle thus: In the motion of several bodies round a fixed centre, the sum of the products of the mass of each body by the velocity of rotation round the centre, and by its distance from the same centre, is always independent of any mutual action exerted by the bodies upon each other, and preserves itself the same as long as there is no exterior action or obstacle. Such is the prin- ciple described by l). Bernouilli in the first volume of the Alemoirs of the Berlin Academy, 1746 ; and by D’Alembert, m the same year, in his Opuscula. The Chevalier D’Arcy, 424 FOR~ also in the same year, sent his Memoir to the Academy of Paris, though it 'as not printed till 1752, wherein he says. “ The sum of the products of the mass of each body by the area traced by its radius vector about a fixed point, is always proportional to the times.” This principle, however, is only a generalization of Sir Isaac’s theorem of equality of areas described by centripetal forces: and to perceive its analogy, or rather its identity with that of Euler and Bernouilli, it is only requisite to recollect, that the velocity of rotation is expressed by the element of the circular are divided by that of the time; and that the first of these elements multiplied by the distance from the centre, gives the element of the area described about it. It appears then that' this latter principle is only the differential expression of that of the Chevalier, who afterwards gave the same principle in another form, which renders it more similar to the preceding, viz. The sum of the products of the masses by the velocities, and by the perpendiculars drawn from the centre to the direction of the forces, is always a .constant quantity. Under this point of view, M. D’Arcy set up a kind of metaphysical principle, which he denominates the conservation of action, in opposition to, or rather as a substitute for, the principle of the least action. But leaving these vague and arbitrary denominations, which neither constitute the essence of the laws ofnature, nor are able to raise the simple results of the known laws of mechanics to the rank of final causes, let us return to the principle in question, which takes place in every system of bodies acting on_each other in any manner whatever, whether by means of cords, inflexible lines, attractions, &c., and also drawn by forces directed to a centre, whether the system be entirely free, or constrained to move about it. The sum of the products of the masses by the areas described about this centre, and projected on any plane, is always proportional to the time: so that by referring these areas to three rectangular planes, we obtain three differential equations of the first order, between the time and the co-ordinates of the curves described by the bodies; and in these equations, the nature of the principle properly exists. . The fourth principle, that of the least action, was so denominated by Maupertuis, and has since been rendered celebrated by the writings of several illustrious authors. Analytically it is as follows : In the motion of bodies acting upon each other, the sum of the products of the masses by the velocities, and by the spaces deScribed, is a minimum. Maupertuis has published two Memoirs on this principle; one in the Transactions oft/2e Academy of Sciences, for 1744; the other, in those of the Academy of Berlin, 17-16; wherein he deduces from it, the laws of reflection and refraction of light, and those of the shock of bodies. It appears, however, that these applications are not only too partial for establish- ing the truth of a general principle, but they are in them- selves too vague and arbitrary; so that the consr'quches attempted to be deduced become uncertain: this principle, therefore, deserves not to be classed with the three foregoing. There is, however, one point of view, in which it may be considered as more general and exact, and which alone merits the attention of geometricians. Euler first suggested the idea at the close of his Treatise on Isoperimetrical Problems, published at Lausanne, in 1744, wherein he shows that in trajectories described by central forces, the integral of the velocity multiplied by the element of the curve is constantly either a maximum or a minimum; but he knew of this property only as pertaining to insulated bodies. La Grange extended it to the motion of a system of bodies acting on each other, and demonstrated a new general principle, viz. That the sum of the products of the masses by the integrals of the FOR 425 FOR velocities multiplied by the elements of the spaces described, is always a maximum or a minimum. ‘ From a combination of this latter principle with that of the conservation of the vis viva, many difficult problems in dynamics may be solved; as exemplified by La Grange in the Memoirs of the Academy of Turin, vol. ii. La Place, in the Méc/zam'que Céleste, treats the doctrine of dynamics much in the same manner as La Grange, but he carries his investigations much farther. He agrees with that writer in adopting the principle of D’Alembert, and in resolving every motion into two; that which the particle had in the preceding instant, and that which would have maintained it in equilibrio: but he differs from him in not admitting the principle of virtual velocity to be assumed as a fundamental axiom; which he demonstrates by a regular train of inductions. After having established nearly the same formulae, or differential equations, and deduced all the general principles in the manner just described, he introduces others in the nature of corollaries, many of which merit peculiar considera- tion. From the principal of the conservation of areas, it follows, that in the motion of a system of bodies solicited only by their mutual attraction and by forces directed to the origin of the co-ordinates, there exists a plane passing through such origin, which possesses the following remarkable properties : 1. That the sum of the areas traced on the plane by the projections of the radii vectores of the bodies, and multiplied by their respective masses, will be the greatest possible. 2. That such sum is also equal 0 upon all the planes perpendicular to it. As the principle of the vie viva, and that of areas, subsist relatively to the centre of gravity, even though the latter be supposed to have a rectilinear uniform motion, it follows, that a plane may be determined as passing through this moveable origin, on which the sum of the areas, described by the pro- jections of the radii vectores, and multiplied respectively by their masses, may be the greatest possible. This plane being parallel to the one passing through the fixed origin, satisfies the same conditions ; and another plane passing through the centre of gravity, and determined according to the foregoing conditions, will remain parallel to itself during the motion of the system; a circumstance of considerable utility and importance. To this we may add, that any plane parallel to the last-mentioned, and passing through any of the bodies, par-takes of analogous properties. La Place next examines how far these results would be changed, if other relations subsisted between the force and the velocity. Force, he observes, may be expressed in a great variety of ways relatively to the velocity, besides that of the simple law of proportionality, without implying any mathematical contradiction. Suppose the force to be some other function of the velocity, (analytically expressed by F : (pm) in this case the principle of the vis vita will be found to obtain in all the possible mathematical relations between the force and the velocity; the 1:12? viva of a body being the product of its mass by double the integral of its velocity, multiplied by the differential of the function of the velocity indicative of the force. I The uniform rectilinear motion of the centre of gravity is preserved by the law of nature alone; by which also the conservation of areas subsists. But a principle analogous to that of the least action will be found to belong to every possible relation between force and velocity. The principle of the least action is not so obvious as the others that have been mentioned, being more remote from the elementary theorems, from which they are all derived; 5 Q nevertheless, if it be directly and mathematically deducible from the same simple principles, it must immediately be divested of all pretensions to the dignity of a final cause to which it can have no greater claim than any othei remarkable numerical property ; for the reverse would imply a mathematical contradiction. The fact, which is curious, may be thus analytically stated: Suppose a material point to move under the impulse of several forces from one point to another; the curve which it describes possesses the remarkable property of having the integral or continued product of the velocity (determined by previous considera- tions) when multiplied into the element of the curve, less than any other curve passing through the same points. Maupertuis, who discovered this principle, carried it no farther than to single bodies ; Euler established its generality; and La Grange extended it to a system of bodies acting on each other, as already noticed. The principle of the least action being therefore admitted as an established theorem, it may be resorted to for the solution of problems, and for determining the trajectories of bodies moving in space; but in point of practical utility, the necessary calculations are so much more complex and diflicult than the more usual methods of investigation, that the latter are greatly to be preferred to it. Upon these leading principles of the doctrine of forces, as laid down by the most eminent writers on the subject, it is to be remarked, that they are for the most part mere develop- ments of theorems easily deducible from the Newtonian laws of motion ; and that many of them were even established by Newton himself. This generalization of mechanical prin- ciples possesses, however, the advantage of enabling us to take a more enlarged and comprehensive View of the subject, than we could do by the consideration of a single problem. Forces, which become the subj ect of mathematical compu- tation, may be appropriately divided into the three following classes : 1. Such as act instantaneously, or for a short interval of time, and impart uniform motion to a particle subjected to their action; provided it be not solicited by any force, and is free to move in any direction. 2. Such as, acting with a continued uniform intensity, oblige a material particle, at liberty to obey their impulse, to describe its path with a uniformly accelerated motion. 3. Those, whose intensities, perpetually varying, though according to some known law, produce a complicated action, whose circumstances can only be investigated by means of the integral calculus, or some analogous methods. Forces whose mode of action is too arbitrary and uncertain to be included in either of these classes, may be considered as foreign to the present investigation. The reader who wishes to have more scientific informa- tion on this subject, may refer to Gregory’s Mechanics; Dr. Jackson’s ’l‘heoretieal Mechanics; and may also con- sult Marat’s Mechanics, \Vood’s Mechanics, or Whewell’s Mechanics. Professor Leslie also, (in his Elements of Natural Philosophy), has given an excellent popular illustration, by supposing the threads to act on light spiral springs adapted to measure the forces, and commonly called spring steel-yards; but he acknowledges pulleys and weights have some advan- tages. By reversing the action of the springs, they might be applied, with much advantage, to show the relations of compressing forces, by lecturers on mechanical science. FORCE, Illec/zalzical. Desaguliers, in his Experimental Philosophy, has many curious and useful observations con cerning the comparative forces of men and horses, and the best mode of applying them. And Dr. Young, in his Lec- tures, has given a table of a similar nature, compiled chiefly from the writings of Desaguliers and Coulomb, another writer FOR 426 FOR_ who has also displayed considerable ingenuity in pursuing the subject. The following extract cannot fail of being use- ful to all concerned in practical mechanics. In his introduction to his Table, Dr. Young observes, that to compare the different estimates of moving power, it will be convenient to take an unit as the mean effect of the labour of an active man, and without impediment. This will be found, on a moderate estimation, suflicient to raise 101b. to the height of 10 'feet in a second, for 10 hours in a day ; or to raise 1001b., which is the weight of twelve wine gallons of water, 1 foot in a second, or 36,000 feet in a day ; or 3,600,0001b. or 432,000 gallons, 1 foot in a day. This we may call a force of 1 continued 36,000." “Immediate Force of Men without Deduction for Friction “ And the force in a state of rest becomes 244, or about 7 01b.; with a velocity of two miles, 361b. ; with three, 24lb. ; and with four, 15lb. ‘ “ It is obvious, that in the extreme cases this formula is inaccurate, but for moderate velocities, it is probably a toler- able approximation. “Coulomb makes the maximum of effect when a man, weighing 70 kilogrammes, carries a weight of 531b up stairs; but this appears to be too great a load; he considers 145 kilogrammes as the greatest weight that can be raised. He observes, that in Martinique, where the thermometer is sel- dom below 68°, the labour of Europeans is reduced to one half. “ Harriot asserts that his pump, with a horizontal motion, enables a man to do one-third more work than the common F we Conti- Days’ pump, with a vertical motion. 0 ' nuation- W011i. “ Porters carry from 2001b. to 3001b. at the rate of three A man, weighing 1331b. (French) ascended miles an-hour; chairmen walk-four miles‘au hour with a 62 feet (French) by steps in 34.), but was load of 1001b. each; and it 18 said that in Turkey, there are completely exhausted. Amonlons ......... 2.8 34” porters, who, by stooping forward, carry from 700 to 9001b. A sawyer made 200 strokes of 18 inches placed very low on their backs. Saigl‘filefi‘g‘ff‘,’ “Effo’ulavfilétfiafiécgosé ' “The most advantageous weight for a man of common on above3 minutes. Amontons. ............ 6. 145” strength to carry horizontally, 15 1121b.; or, If he returns A man can raise 601b. (French) 1 foot unladen, 1351b. \Vith wheel-barrows, men will do half as (French) in 1”, for 8 hrs. a day. Bernoui/li. 69. 8h .552 much more work as with hods. Coulomb. A man of ordinary strength can turn a winch with a force Of 3011). and with a Velocity “ Pe7f0rmance Qf'flfen by filacfiines. of 312- feet in 1”, for 10 hours a day. ._...- Desa u/iers. ....................... . ............ 1.05 10h 1.05 . Two megn working at a Windlass, with han- Force. COHFI- . Rays’ dles at right angles, can raise 7011). more nuation .1 ork. easily than one can raise 3011). lfhsagu'liers. 1.22 1.22 A man ratsed by a rope and pulley, 25“,. A man can exert a force of 401b. ot a whole (French) 220 feet (French) in 14...)”. day, “nth the assistance Of a fly, when Amoutons. ......... . .......... 436 145 the mono? ls pretty 31.11101" as about 4 or A man can raise, by a good common pump, 5 feet in 1 ' Desugu Lefs‘ Leg-“IV- 13qu a hogshead of water 10 feet high in 1’, for from the annotatlon, It] appeglsldoubt u awhole day. Desagu/iers ..................... .875 .875 whether the force be 40 b. 01 ..‘0'b.f:..' ..... If 2. .2 By the mercurial pump, or another good For a short tune a man may exert ‘1 0.1m 9, pump a man may raise a howshead 18 or 1.61 1’ 801b. thh a fly. “ when the motion is 00 feet in 1, for 1 or a minut; )‘ '-k.” Desa uliers .................. 3. 1" ~ ‘ ’ - ~ 3 petty qutc . , 3‘] . In a pile engine, 55§lb (French) were raised A man gomg up stairs, ascends 14 metres in 1 foot. (French) in 1",1b1'5 hours a day, by 1 ' Coulomb . """"" ;":,'Z": """ .' 1'182 1 a rope drawn horizontally. Coulomb ...... .64 5h ,82 A “.1311 gomg up mm” fm altlay,fia1ses'.205 Robison says, that a feeble old man raised kilogrammes to the helg it o a kilo- 7cuhic feet of water 11% feet in 1,, 1.01.8 metre. Coulomb. ........1.‘.) ...... .. ............ .412 or 10 hours a day, by walking backwards With a spade a man does 36 as much as in and forwards on a lever. Enc. Br......... .837 91‘ .753 ascending stairs. Coulomb. ............... .391 A young man, weighing 1351b. and carrying With a winch a man does 5 as much as in 3011). raised 93‘ cubic feet 11% feet high, ascending stairs. C'oul. ..................... ,258 for 10 hours a day, withoeut fatigue. A man carrying wood up stairs, raises, togc- Robison. .......................................... 1.106 10h 1.106 ther with his own weight, 109 kilo- Wyunc‘s machine enables a man to raise a grammes to one kilometre. Coutomb. 219, hogshead 20 feet in 1 minute. Young. 1.75 1' A man weighing 15011). (French) can ascend by stairs 3 feet (French) in 1” for 15” or “ Force of Horses. 20”. Coulomb. .............. ........... .. .. 5.22 20” Two horses attached to a plough on moderate For half an hour, 1001b. (French) may be ground, exerted each a force of 150 raised 1 foot (French) in 1”. Coulomb- 1.152 30’ (French) Antoutons. “'e may suppose According to Mr. Buchanan's comparison, that they went a little more than two miles the force exerted in turning a winch being an hour for 8 hours ........................... 5.4 8’ 4.32 made equal to the unit, the force in pump- A horse draws with the greatest advantage illg Will be . ------ .. .61 when the line of direction is level with his In ringing 1.36 breast; and he can draw with a force of In rowing ................. . ...... ......... 1.43 2001b. 2% miles an hour, for 8 hours in Allowing the accuracy of Euler’s force, con- the day ............................ . ............... . 7.33 8" 5.87 firmed by Scltulze, supposing a man’s ac- With a force of 240, only 6 hours. On a tion to be a maximum when he walks 2.}, carriage, indeed, where friction alone is to miles an hour, we have 7% for his greatest be overcome, a middling horse will draw velocity, .04 (7% -— v)2 for the force ex- 100011). Desaguliers..... ...................... 8,8 611 5.28 crtcd with any other velocity, and .0100 The mean draught of four horses was 36 my- (75—2))2 for the action in each case: riogrammes each, or 79411). Regniel‘. thus, when the velocity is one mile an hour, This nmst have been momentary. Sup- the action is .676 posing the velocity 2 feet in 1", the action When two miles.................................... .964 would have been ........................... 15,88 1" Three . .972 By means of pumps, 3. horse can raise 250 Four .734 hogsheads ot'watcr 10 feet high, in an And when Five ... ,5 ‘ i hour. Smeatou‘s Reports. .................. 3.64 I“ _ _.__l r. FOR 427 FOR “ A hmse can in general draw no more up a steep hill than three men can carry, that is, from 4501b. to 7501b.; but a strong horse can draw 20001b. up a steep hill, that is but short. The worst way of applying the force of a horse, is to make him carry or draw up-hill; for, if the hill be steep, three men will do more than a horse, each man climbing up faster with a burden of 1001b. weight, than a horse that is loaded with 3001b., a difference arising from the position of the parts of the human body being better adapted to climbing than those of a horse. “ 0n the other hand, the best way of applying the force of a horse, is in an horizontal direction, wherein a man can exert least force: thus a man, weighing 1401b, and drawing a boat along by meansof a. rope coming over his shoulders, cannot draw above 27lb., or exert above one-seventh part of the force of a horse employed to the same purpose. “The very best and most effectual posture in a man, is that of rowing ; wherein he not only acts with more muscles at once for overcoming the resistance, than in any other position ; but as he pulls backwards, the weight of his body assists by way of lever.—Desaguliers. “ The diameter of a walk for a horse-mill, ought to be at least 25 or 30 feet.—Desaguliers. “ Some horses have carried 6501b. or 7001b. seven or eight miles without resting, as their ordinary work ; and a horse at Stout-bridge carried llcwt. of iron, or l2321b. for eight miles—Desaguliers, Exp. Plu'los. vol. i. F Cont- Days’ “ ”fork of Mules. orce. nuation. Work. Cazanel says, that a mule works in the West Indies two hours, out of about 18, with a force of about 1501b. walking 3 feet in a second ............................................. 4.4 2“ 40' 1.2 FORCE, Inam'male. “According to M. Coulomb, a wind- mill with four sails, measuring 66 feet (French) from one extremity to that of the opposite sail, and 6 feet wide, or a little more, is capable of raising 10001b. (French) 218 feet in 1’ and of working on an average 8 hours in a day. This is equivalent to the work of 34 men, as it has been above estimated, 25 square feet of canvass performing about the daily work of a man. “Robison says, that 1 cwt. of coals burned in a steam- engine will raise at least 20,000 cubic feet of water 24 feet high ; this is equivalent to the daily labour of 8.32 men. A steam-engine in London, with a 24-inch cylinder, does the work of 72 horses, and consumes a chaldron of coals in a day; each bushel being equivalent to two horses, and each square inch of the cylinder performing nearly the work of a man. “ If we calculate the quantity of motion produced by gun- powder, we shall find that this agent, though extremely con- venient, is far more expensive than human labour ; but the advantage of gunpowder consists in the great rarity of the acting substance. A spring or a bow can only act with a moderate velocity, on account of its own weight. The air of the atmosphere, however compressed, could not flow into a vacuum with a velocity so great as 1,500 feet in a second. Hydrogen gas might move more rapidly, but the elastic sub- stance produced by gunpowder is capable of propelling a very heavy cannon-ball with much greater velocity. “It is said, that nine tons of water falling 10 feet, will grind and dress a bushel of wheat; consequently a man might do the same in 33' 36"." FORE-FRON T, the principal or front entrance of a building. FORE-GROUND, that part of the'field of a picture which is nearest the observer. FOR E-PLANE, in carpentry and joinery, the first plane used after the saw or axe. See TOOLS. FOREsSHORTEN, in perspective, the diminution which the representation of the side or part of a body has in one of its dimensions, compared with the other, occasioned by the obliquity of the corresponding side or part of the original body to the plane of projection. FOREYN, an ancient term signifying a cesspool or drain. FORGE, a smith’s furnace. , FORM (from the Latin, forma) the external appearance, or the disposition of the surfaces of a body ; in which sense it is synonymous with FIGURE, which see. FORM, in joinery, the long seats or benches in the choirs of churches, for the priests, canons, prebendaries, &c. to sit’on. Du Cange supposes the name derived from the backs of the seats being anciently enriched with figures of painting and sculpture, called in Latin fm'mce et typi. FORMERETS, (from the French) the arches which are next the wall in Gothic groins ; these are only half the thick- ness of those that divide the vault into compartments. FORM-PIECES, the lower ends of the mullions of win- dows which are worked upon the sills. The same as STOOL- PIECES. FORT, (Latinfortz's strong) a fortifiedbuilding ; a building strengthened by artificial means. The term is usually applied to small detached buildings. FORTALICE, a small castle. FORN IX, (Latin) an arch or vault. VAULT. FORUM, (Latin) in Roman antiquity, the market-place for'transacting the business of the public revenue, bankers, merchants, Sue. The following description of it is given by Vitruvius: “ The Greeks made their forums square, with large double porticos, the columns close together, and adorned with stone or marble epistyliums, making ambulatories in the upper stories : but the cities of Italy follow not the same method ; because, by ancient custom, the shows of gladiators are usually given in the forum. For this reason the inter- columns around the area are made wider; and in the sur- rounding porticos the shops of the bankers are disposed, with galleries in the upper floors, properly adapted for the use and management of the public revenue. “The magnitude of the forum should be suitable to the number of the people, that it may not be too small for use, nor, on account of the scarcity of people, appear too large. The proportion is so determined, that the length being divided into three parts, two are given to the breadth; for thus it will be of an oblong form, and convenient for the use of the shows. “The upper columns are made a fourth part less than the lower; because, as the inferior sustains the greater weight, it should be stronger than the superior : also because it is proper toimitate nature; for in straight-growing trees, such as the fir, cypress, and pine, there are none thicker at the top than at the root; and as they grow in height, they gradually diminish to the uppermost point. Following there. fore the example of nature, it is proper that the superior should be made less than the inferior, both in height and thickness. “ The basilica should be joined to the forum on the warmest side, that the negociants may confer together, without being incommoded by the weather. The breadth is not made less than the third, nor more than the half of the length, unless the See ARCH, and FOR 428 FOR the nature of the place opposes the proportion, and obliges the symmetry to be different. But if the basilica have too much length, chalcidicze are made at the ends, as they are in the basilica of Julia Aquiliana. The columns of the basilica are made as high as the porticus is broad. The portions is the third part of the space in the middle. The upper columns are less than the lower, as above written. The pluteum, which is between the upper columns, should also be made a fourth part less than the same columns, that those who walk in the floor above may not be seen by the negociators below. The epistylium, zophorus, and coronze, are proportioned to the columns in the manner explained in the third book. “ Nor will basilicas of the kind of that at the colony of Julia of Fanum, which I designed and conducted, have less dignity and beauty ; the proportions and symmetry of which are as follow: The middle testudo between the columns is 120 feet long, and 60 feet broad. The portions around the testudo, between the walls and columns, is 20 feet broad. The height of the continued columns, including their capitals, is 50 feet, and the thickness 5, having behind them parastatae 20 feet high, 2% feet broad, and 1% foot thick, which sustain the beams that bear the floors of the porticos. Above these are other parastatae 18 feet high, 2 feet broad, and 1 foot thick, which also receives beams sustaining the canthers of the porticos, which are laid below the roof of the testudo: the remaining space that is left between the beams which lie over the parastatae, and those w lich lie over the columns, is left open in the intercolumns, in order to give light. The columns in the breadth of the testudo, including those of the angles to the right and left, are four ; and in the length, on that side which is next the forum, including the same angle- columns, eight. On the other side, there are but six columns, including those of the angles, because the middle two on this side are omitted, that they may not obstruct the view of the pronaos of the temple of Augustus, which is situated in the middle of the side-wall of the basilica, looking toward the centre of the forum and temple of Jupiter. The tri~ bunal in this building is formed in the figure of a hemi- cycle: the extent of this hemicycle in front is 46 feet, and the recess of the curvature inward 15 feet, so that those who attend the magistrate obstruct not the negociants in the basilica. “ Upon the columns, the compacted beams, made from three timbers of two feet, are placed around ; and those from the third columns which are in the interior part, are returned to the antae that project from the pronaos, and on the right and left touch the hemicycle. “ Upon the beams, perpendicularly to the capitals, the pilze are placed, three feet high and four feet broad, on every side. Over these, other beams, well wrought from two timbers, of two feet, are placed around; upon which, the transtrte and capreols, being placed coincident with the zophorus, antze, and \ 'alls of the pronaos, sustain one culmen the whole length of the basilica, and another transversely from the middle over the pronaos of the temple: so that it causes a double dis- position of the fastigium, and gives a handsome appearance to the roof on the outside, and to the lofty testudo within. Also, the omission of the ornaments of the epistylium, and of the upper columns and plutei, diminishes the labour of the work, and saves great part of the expense. The columns likewise being carried in one continued height up to the beams of the testudo, increases the magnificence and dignity of the Work.” FORUM is also used for any place in which the governor of a province convened the people, to give judgment according to the course of the law. Forum also meant a public standing-place in the city of Rome, where causes were judicially tried, and orations deli- vered to the people. The Roman forte were of two kinds—Fora Civilia and Venalia; the former were for law and political affairs, the latter for the purposes of trade. Of the Fora Civilia, there were at first only three, viz., Romanum, Julianum, and Augustum; but their number was afterwards increased to six, by the addition of the transitorium, called also palla- dium, the Trajanum, and Salusti. The first and most. eminent of these was the forum Romanum, called also forum vetus. In the time of Romu- lus, this forum was only a large open space, without buildings or other ornament. It was first enclosed by Hostilius, adorned with porticos by Tarquin the Elder, and at length, by the additions of succeeding kings, consuls, and magistrates, it became one of the most elegant and noble places in the world. It was called forum Romanum, or simplyforum, by way of eminence, on account of its antiquity, in comparison with the other fora, and from its more general use in public affairs. It was also called forum Latinum, forum magnum, and old forum. The comitium, used sometimes for holding the comitia, was a part of this forum, in which stood the rostrum, a sort of pulpit, adorned with the beaks of ships taken in a sea-fight from the inhabitants of Antium. In this the causes were pleaded, orations were made, and panegyrics were delivered on the merits of the dead. A very beautiful restored view of the Forum Romanum was made by Mr. C. R. Cockerell, and a reduced view was engraved and published, with his permission, in the second volume of the “ Pompeii,” published by the Society for the Diffusion of Useful Knowledge, to which we refer our rea- ders for an accurate notion of the splendour of the accumu- lated architecture of the Forum and the Capitol, and its v1c1nlty. The Julian forum, called also Caesar's forum, was built by Julius Caesar with the spoils taken in the Gallic war. Its area alone, according to Suetonius, cost 100,000 sesterces; and Dio affirms, that it much exceeded the Roman forum. Augustus’s forum, built by Octavius Caesar, was reckoned by Pliny among the wonders of the city. The most remark- able curiosity it presented was the statues in the two porticos on each side of the main building. In one were all the Latin kings, beginning with Eneas. In the other, all the kings of Rome, beginning with Romulus; most of the eminent persons in the commonwealth, and Augustus himself among the rest, with an inscription upon the pedestal of every statue, descriptive of the chief actions and exploits of the person it represented. This forum was restored by the em- peror Adrian. Nerva’s forum was begun by Domitian. but finished and named by the emperor Nerva. In this forum Alexander Severus set up the statues of such of the emperors as had been deified, in imitation of what Augustus had done in his forum. This forum was called transitorium, because it lay very convenient as a passage to the others, and palladium, from a statue of Minerva which was set up in it.~ Scareely anything remains of this forum except a decayed arch, which the Italians, by a strange corruption, call A'oa/a‘s aria, instead of iVei'va’s arc/t. Trajan’s forum was built by the emperor Trajan with the produce of the spoils taken in his wars. The porticos, which were exceedingly beautiful and magnificent, Were covered with brass, and supported by pillars of more than ordinary size, and of exquisite workmanship. The forum of Pompeii, which was constructed in the Greek style, cannot, however, be altogether considered, if we are guided by the authority of Vitruvius, a truly Greek ' FOS 429 FOU Agora, which this author states was to be made square in form. It has, however, many Greek features. The Pom- peian forum is of an oblong shape, surrounded on three sides with rows of columns, forming, with the advanced columns of the various buildings, a colonnade or ambulatory; above this there was a second, if we may judge from the remains of stairs‘ at several places at the back of the colonnade. The fourth side of the forum is enclosed with two arches placed on eaCh side of a large hypmthral temple, called the temple of Jupiter. On the west side are the prisons and the granary, before these, and the temple of Venus, and the Basilica, is an enclosed court. On the narrow side, opposite the temple of Jupiter, are three buildings, generally considered to be the Curiae and IErarium. On the east side is an enclosure, (the use of which has not been determined,) the Chalcidicum, the temple of Mercury, the Senaculum, and a building‘sup- posed to be a large eating-house, generally known by the name of the Pantheon, in front of which are the Tabernae Argentarim. The enclosed area of the forum was paved with large square pieces of marble, and the sides of the area were adorned with statues. Opposite the Curiae, and a short way from them, is a small triumphal arch. The forum was closed at night with iron-barred gates, and it does not appear that chariots were admitted into it, as the pavement of the streets terminates at the back of the colonnade. The columns of the ambulatory are of the Greek Doric order, and were being restored in the same style, though with better materials, at the time the city was destroy ed. The columns were arzeostyle, and the architraves were most probably of wood, as we may infer from their being destroyed, while the frieze and cornice of stone remain. The forum of Constantinople was erected by Constantine when he established the city on the commanding eminence of the second hill, where he pitched his tent during the siege and conquest of Byzantium. The edifice was of an elliptic form ; the two opposite entrances formed triumphal arches ; the porticos on every side were filled with statues, and the centre of the edifice was occupied by a lofty column, of which only a mutilated fragment is now left, and is degraded by the appellation of the burnt pillar. This column was erected on a pedestal of white marble, 20 feet high. It was composed of 10 pieces of porphyry, each of which measured about 10 feet in height, and about 33 in circumference. On the summit of the pillar, above 120 feet from the ground, stood a colossal statue of Apollo, of bronze, which had been transported hither from Athens, or from a town of Phrygia, and was supposed to be the work of Phidias. The artist had represented the ‘ god of day, or, as it was afterwards interpreted, the emperor Constantine himself, with a sceptre in his right hand, the globe'of the world in his left, and a crown of rays glittering on his head. This statue was thrown down in the reign of Alexis Comnenus. FOSSE, a trench or ditch excavated round a fortified place, to secure it from attack. FOSSES D’AISANCES, a term used to designate the cesspools of Paris. These cesspools are constructed of materials sufficiently impermeable to filtration, so that the matter contained in them shall not penetrate through the walls, to the injury of the adjoining property. So strictly is this condition observed, that any infiltration to a neighbour’s premises, according to the French law, gives a title to damages, and the architect and builder are held responsible for ten years,'not only to the proprietor, but also ‘ to the neighbours, should any nuisance arise from imperfect execution of the work. The Fosses d’Az’smzces are usually made about 10 feet long by about 5 feet 7 inches wide. and 5 feet in height to the 5 n springing of the semi-circular head. The material employed in their construction, has of late years been meulz'ére or mill- stone, bedded in mortar made of lime and cement; the inside being well pointed, and rendered throughout with the same. These cesspools are cleansed out when necessary, under the inspection and by the authority of the board of health oi‘ the city; the carts employed, as well as all the materiel of the nightmen, being under the same surveillance. The work is done between ten o’clock at night, and six o’clock in the morning. The contents of the cesspools are generally sufficiently fluid to allow of their extraction by pumps ; but when this is not the case, they are conveyed from below in small iron vessels; and great care is taken to prevent, as much as possible, the escape of the noxious efiluvia during the operations. ‘Vhen the soil is pumped into carts, a small furnace is placed over the bung-hole of the cart, to burn the gas as it rises; and directly the/ cart is filled, the bung is plastered over. The lids of the vessels used to remove the more solid matter, are also plastered over in a similar manner, before they are brought out of the cesspools. For a fuller description of the Fosses d’Aisances, see SEWER, SEWERAGE. FOUNDATION, (from the French) the trench or trenches excavated in the ground, in order to rest an edifice firmly upon its base. The word also means the superstructure of a stone or brick wall under the lowest floor of a building, contained within the trenches. Foundations, according to Palladio, ought to be twice as thick as the walls to be raised upon them, so that both the quality of the earth and the greatness of the building are to be regarded, making the foundation larger in a soft and loose ground, or where there is a great weight to be supported. The plane of the trench must be as level as possible, so that the weight may press equally, and not incline more on one side than the other. For this reason the ancients were accustomed to pave the plane with Tivertine; but the moderns most commonly lay planks or beams to build on. The foundations ought to diminish in width as they rise; but in such a manner that the middle of the wall above may fall plumb with the middle of the lowest part; this must also be observed in the diminution of walls above ground, because by that means the building becomes much stronger than by making the diminution any other way. The various methods of treating the building of a founda- tion, according to the heterogeneous texture or uniformity of the ground, as may happen in the excavation, will be found under BRICKLAYING. Under the same h :ad also will be found ample directions for making a foundation of CON- CRETE, as now so generally used by builders. But should the foundation prove unsound, or of that character that dependence cannot be placed upon it, recourse must be had to piling, in the following manner. Good sound piles must be prepared, of such dimensions, that their thickness may be about a twelfth part of their length; the distances at which these piles should be disposed, and the momentum requisite to drive them, will depend on the nature of the building to be erected, and the weight they will have to bear; the weight of the ram ought not to be more than sutficient for driving the piles, as the heavier the ram, the greater the number of men required to work it, and consequently the greater the expense. \Vhen the piling is completed, so as to be sufficient for supporting the intended structure, some builders lay a level row of cross bearers, called sleepers, ram the interstices with stone or brick up to the level of their faces, and then plank them over. This planking, however, may be dispensed with, if the piling be sufiiciently attended to, and the expense of the foundation will thus be materially lessened. Timber FOX 430 FRE should not be used with its thickness standing vertical, as it is liable to shrink, which will make the building crack or split at the junctions with the return parts. , Where the ground is not very soft, and where the wall is to be supported upon narrow piers, a piece of timber, or balk, is sometimes slit in halves, and those are either laid immediately at the bottom, or at the height of two or three courses from the bottom of the wall; which will frequently prevent settlements when the wall is to be so supported. Forced earth, or made ground, remains unfit for the founda- tion of a wall, for a considerable time. The breadth Of a substructure should be proportioned to the weight of the superstructure, and to the softness of the ground on which it rests; if the texture of the ground is supposed to be constant, and the materials Of the same specific gravity, the breadth of the foundation will be as the area of the vertical section passing through the line on which the breadth is measured; thus, for example, Suppose a wall 40 feet high, 2 feet thick, to have a sufficient foundation of 3 feet in breadth, what should be the breadth of the foundation of a wall 60 feet high, 2% feet thick ? By propor— tion, it will be 40 X 2 :3 : :60 X 2% : the answer 25% feet. This calculation will give the breadth of the foundation Of - the required wall, equal to the breadth of the insisting wall itself; when the height of the required wall is equal to the ratio, which is the first term (40 X 2 : 80) divided by the second term (3) :—§ : 26%. Thus a wall of 26% feet would have the breadth of its foundation equal to its thick- ness above the foundation, and less than 26% feet would have a thinner foundation than even the superstructure. But though the calculation in this case gives the foundation less in breadth than the thickness of its superstructure, it must be considered that it only calculates the true breadth of the surface that should be Opposed to the ground, in order to prevent the wall from penetrating by its weight: though the rule gives all the width that is necessary, on account of the weight of the insisting wall, yet the breadth of the foot- ing should always be greater than that of the superstructure; as it will stand more firmly on its base when affected by lateral pressure, and be less liable to rock by the blowing of heavy winds. The least breadth that is commonly given to the bottom course of stone walls is one foot thicker than the superstructure. In damp situations, the superstructure should always be separated from the substructure by layers of lead, tarred paper, 850. Slate also may be used with advantage for such purposes. FOUNTAIN, (from the French fontaz'nc,) literally signi— fies a spring or issuing of water from the earth, but the word is also applied to a machine or artificial contrivance by which water is made to spout or dart up, called by the French ajct (l’eau. There are various kinds of artificial fountains, but they are all formed by some description of pressure on the water, that is, the water of the fountain is made to spout up, by the Weight of a head of water ; by the pressure arising from the spring and elasticity of condensed air, or by machinery. FOX-TAIL IVEDGING, a method of fastenincr a tenon in a mortise, by splitting the end of the tenon and inserting a projecting wedge, then entering the tenon into the mortise, and driving it home; the bottom of the mortise will then resist the wedge, and force it farther into the tenon, which will expand in width, so as not only to fill the avity at the bottom, but be firmly compressed by the sides of the mortise. FRACTION, in arithmetic and algebra, is a part or parts of something considered as a unit or integer. Fractions are distinguished into vulgar fractions and decimal fractions. Vulgar fractions consist of two parts or quantities written one over the other, thus %, j}, &c. ; the quantity above the line is called the numerator, and that below the line the denomi- nator. See Decimal. ' FRAME, in carpentry, a combination of timber-work, composed of one or more triangular compartments, or of a mixture of triangles and quadrilaterals, the timbers being either joined to each other by joggles, or by being halved or let into each other. Three pieces of timber are the least number that can con- stitute a frame, for the same reason that less than three straight lines cannot constitute a space. See the articles FLOORING, NAKED - FLOORING, PARTITION, Tnuss, and Tnuss-PARTITION. FRAME, in joinery, an assemblage of various pieces of wood-work, forming certain compartments, according tO the design, surrounding panels Of wood, which are inserted in grooves made in every edge of each compartment of the frame, and thus filling up the interstices. This mode is a substitute for a board, which could not be procured in one breadth ;iand even if such a board could be Obtained, framing would be preferable, as being much lighter, stronger, and less liable to warp. The stiffness Of a frame in carpentry depend? chiefly upon the triangles in its composition ; but a frame in joinery depends upon the inflexibility Of the joints, taking every two pieces separately, by which each joint is formed. FRAMING, of a house, all the timber-work, uh, the carcase—flooring, partitioning, rooting, ceiling, beams, ash- lering, 8&0. FRANKING, in sash-making, cutting a small excavation on the side Of a bar for the reception of the transverse bar, so that no more of the wood be cut away than what is suffi- cient to show a mitre when the bars are joined to each other; by this means, the strength is impaired only in the smallest possible degree. FRATERY, OR FRATER-HOUSE, the dining-11211] of monastic buildings, otherwise termed REFECTORY. FREEMASON, in ancient times was the term applied to a person supposed to be skilled in the art of building, more particularly in ecclesiastical construction. A freemason travelled from place to place, and by his learning in the science, and his taste in the construction of edifices, executed works celebrated for beauty and grandeur. In the present day the word is identified with the society of Freemasons, whose various ramifications are said to extend throughout the known world. FREEDSTOOL, Fule'rOOL, on FRITIISTOOL, a seat placed at the east of some churches, near the altar, for those who sought the privilege of sanctuary. They were usually of stone, specimens of them in this material are still existing at Beverley and IIexham. FRE C-STONE. See STONE. FREE-STUFF, that which works easily in the Operation of planing. without tearing. FREEZE, a part of the entablature of an order; more I correctly spelt Fnluzn, which see. FRENCH CASEMENTS, windows turning upon two vertical edges attached to the jambs, which when shut lap together upon the other two parallel edges, and are fastened by means of long bolts extending their whole height. French easements are made in the form of the old English windows, the two meeting styles, which lap together, tbrming a munnion about four inches in breadth. The lower part only is moveable, the upper is fixed, and has a corresponding .. .33“ FRE 431' FRE munnion, the lower rail of the fixed part and upper rail of the moveable part forming a transom. FRESCO PAINTING, a peculiar mode of painting, per- formed by employing colours mixed and ground with water , upon a stucco, or plaster, sufficiently fresh and wet to imbibe and embody the colours with itself. The term fresco, as applied to painting, is said to have been adopted because the practice of it is used in the open air ; andare alfresco signi- fying “to take the air,” or “ walk abroad in the air :” but it seems more probable that another meaning of the word fresco has given rise to this particular adoption of it, viz., new, or fresh, relative to the state of the plaster on which it is wrought. Vitruvius (lib. vii. cap. 4.) calls it udo tectorio. It is very ancient, having been practised in the earliest ages of Greece and Rome. The theory of the art of painting extends its principles to all modes of execution, because theoretic rules are drawn from nature, which is the object of all imitation, and are independent of the means employed in producing the intended effect. We propose, therefore, in this place, only to treat of the mode of execution, and of the materials employed in fresco painting; such observations as the recent revival of the art has rendered necessary, being deferred till after our descrip- tion of the practice. Previously to the commencement of a painting in fresco, it is necessary that a careful examination should be made of the fitness of the place to receive it. The artist must assure him- self, therefore, in the first place, of the perfect construction of the walls, or ceilings, on which he intends to employ his genius, and entrust his reputation: above all, he must be careful to make it secure from damp. Satisfied with the construction of the wall, it is then necessary the artist should see to the proper management of the first layer of plaster with which it is covered. The materials employed for building in different countries will vary according to the nature of those most easy to be obtained: and therefore it will, of course, be necessary to adopt means for rendering those not perfectly proper in themselves to receive fresco painting, more so by artificial means. Brick is certainly the one best calculated to hold the plaster perfectly; both on account of its absorbing quality, and from the small- ness of the size of the bricks causing a number of insterstices between them ; which irregularity in the surface greatly assists in retaining the plaster in adherence. A wall built of rough stones full of holes may also be relied upon as a good foundation for fresco ; but if, instead of that, it be constructed of smooth or polished stones, it will then be necessary to render it uneven by making holes in it, fastening nails, and small wedges of wood, to hold the plaster together, and pre- vent its falling of. These precautions are of the utmost con- sequence to prevent its bending or cracking, which the least alteration that happens to the materials, or even a change of weather, producing alternately wet or dry, may occasion. The first layer of plaster may be composed of well-washed chalk made into a cement with pounded brick, or -river sand ; the last is better, being rather the coarsest, and pro- ducing thereby a roughness of surface which will better retain the second coat. Tarras, composed of pounded sea—sand and chalk or lime, would perhaps be better still. The ancients had certainly a better compost for this purpose than that at present known ; if we may judge from that which still covers many of their buildings; particularly the aqueduct they constructed near Naples, and the walls of the ruins of Ilcrculaneum. Before the second layer is given, the first must be perfectly dry, on account of a disagreeable and noxious vapour which issues from the lime in drying ; but when it is so, and you proceed to give it the second coating, upon which the paint- ing is done, it must be wetted with water, that the two may more completely incorporate. This layer, which requires to be more carefully prepared than the first, is made by mixing river-sand of an even and fine grain with chalk, which has been burnt several months before, and exposed to the air, as by that means the artist may be more sure of its general decomposition and freedom from stony parts. It requires considerable skill in the person who prepares this ground, to lay it perfectly even, and he must be very careful in judging of the quantity proper to be laid on at once. This ought not to be more than the painter can cover and completely finish in a day; and it requires great skill and activity in spreading, to clean it from lumps and polish it evenly, so as to receive the painting with the promptitude requisite to leave the artist as much time as possible. The painter, however, should himself superintend this part of the process, for he alone can judge properly as to the rapidity with which he can work, or the advantages he may make of accidental occurrences. The operation of laying on the ground is performed with a trowel, and in doing this, care must be taken to clean it properly, that the surface may be even, particularly in those parts most exposed to view. The mason’s labour is finished by his polishing the surface to receive the painting ; this is done by applying a piece of paper on the face of the wall, and passing the trowel over it. It is very necessary that this should be well done, for small inequalities in the surface might, in certain views, produce great irregularities in the drawing of the work. \Vhen the second ground is thus prepared, cleaned, and polished, in the quantity, and on the part of the wall which the artist requires, he begins to trace his design upon it, and proceeds to the colouring of it ; completely covering the quantity prepared, and finishing so much of the picture in the course of the day, in such a manner that he may not have occasion to re-touch it when the ground is dry. This is the characteristic peculiarity of painting in fresco, which, by this mode of operation, is incorporated with the mortar, and dry- ing along with it, becomes extremely durable, and brightens in its tones and colour as it dries. From the necessity there is in the progress of this style of art, that it should be executed with rapidity, and from the impossibility of retouching it without injuring the purity of the Work ; the artist, unless he be endowed with very extra- ordinary powers of imagination and execution indeed, is obliged to prepare a finished sketch of the subject, wrought to its proper hue and tone of colour, and so well digested, that there may be no necessity for making any essential alterations in the design. This, which is a very useful mode of proceeding in all historic works of painting, is absolutely indispensable in fresco, to those who are not determined to give the rein to their ideas, and leave as perfect whatever may first present itSelf. There is no beginning in this, by drawing the whole of the parts at one time, and correcting them at leisure, as is the custom in oil painting, where the artist may proceed to work without a sketch. Here all that is begun in the morning must be completed by the evening ; and that almost without cessation of labour, while the plaster is wet ; and not only completed in form, but also (a difficult, nay, almost impossible task, without a well-prepared sketcln) must be performed, viz., the part done in this short time must have so perfect an accordance with what follows, or has pre- ceded ot' the work, that when the whole is finished, it may appear as if it had been executed at once, or in the usual mode, with suflicient time given to harmonize the various forms and tones of colour. Instead of proceeding by slow FRE 432 FRE degrees to illuminate the objects, and increase the vividness of the colours, in a manner somewhat similar to the progress’ of nature in the rising day, till at last it shines with all its intended effect, which is the course of painting in oil; the artist working in fresco must at once rush into broad day- light; at once give all the force in light and shade and colour, which the nature of his subject requires. This, be it observed also, must be without the assistance (at least in the commence- ment) of contrast to regulate his eye ; and therefore may be considered almost impossible, as we have before said, unless he be assisted by a well-digested and finished sketch. The sketch being completed, the next process is to prepare a cartoon or drawing of the design on paper pasted together to the size of the intended fresco. This cartoon sh'ould be perfected in the outline to save time, and the artist has then nothing to do but to trace the line of the figures or other objects which the design may be composed of, on to the plaster, by either pricking with a pin through the paper, or by passing a hard point over the lines of the cartoon. By this means he saves himself the trouble of drawing the figures, and also the time which would be required for doing it, and proceeds at once to the painting ; to facilitate the execution, and ensure the success of which, several precautions are requisite. The colours being ground fine in water, and a sufficient quantity of the tints most likely to be employed prepared, they should be arranged in pots or basons, and several pal- lettes with raised edges should be ready at hand to work from, and assist in compounding the varieties of hues neces- sary for producing brilliancy and harmony. A few pieces of tile or brick, or of any absorbent stone, should also be pro- vided, to prove the tints upon, because all colours ground in water become much lighter when dry, than they appear when wet. To be certain therefore of their hue, before he begins to use them on the picture, and to avoid the trouble and neces- sity of much changing or labouring them, (as the painters term the blending of colours,) the artist should apply some of each tint with his brush to the dry brick, &c., which, ab- sorbing the water, the colours immediately appear very nearly of the same hue they will be of when the fresco is dry. Hence he may proceed with great security in his work, and is sure to have it much more fresh and vigorous in effect, than it would be if much labour had been employed to obtain the tone on the wall. It will be requisite also to have at hand a vase or bason of water, or a wet sponge, and to take care not to begin to paint till the layer of mortar is hard enough to resist the impression of the finger : otherwise the colours would spread upon it, and prevent all possibility of neatness or clearness in the execution, which should be effected with great rapidity and lightness of hand. With respect to the colours employed in fresco, they are fewer in number than those which may be used in oil paint- ing, oiraccount of the combined action of the lime and the air upon the component parts of many of the latter. Those most generally in use are the following, viz. :— Lime- FV/titc.—'l‘his, when made of well~washed burnt chalk or lime, is the best and most simple white that can be used ; it mixes freely with all the other colours, and works in itself with a full body. The preparation of it requires that the chalk should‘be slacked a twelvemonth before it is used, or at least, six months. It should then be dissolved in common water, and poured carefully off, (after letting it fall some short time,) into a vessel to settle. Another white is made by mixing one-third of white marble powder with two-thirds of chalk ; but it must be used with caution, as it is apt to change. If the proportion of marble dust be too strong for the chalk, it will become black. The artist will therefore do well to confine himself to chalk white, provided it has been well prepared, and kept a long time. As this, however,- has frequently been used, we deemed it proper to be mentioned, that artists may, if they choose, make experiments upon its nature, and endeavour, if they find any peculiarly valuable quality in it, to ensure its con- tinuance in clear-ness and perfection. Egg—shell IV/az'te.—'l‘here is also a third white, made of egg-shells, which, though it has not the full texture of the chalk, is yet very clear and good for use in fresco. It is made by boiling egg-shells in water witlf a little quick—lime. They are then put into a pot, and washed with pure water. Then pounded fine, washed again till no tint is given to the water, and then ground by the muller and stone to the degree fit for use; it is afterwards formed into little cakes, which are dried in the sun. Care must be taken not to let the powder of the shells remain too long in the same water, as it will exhale a fetid vapour almost insupportable, which cannot be dissipated but by roasting it in a close vessel, well luted. Red—produced by burnt vitriol, in colour approaching to Indian red, and ground in spirits of wine, acts well with the lime, resists the action of the air, and mixes cleanly with the other colours. This forms an excellent preparation to receive the bright red of Cinnabar or vermilion, when the whole vall is covered. Colours of earthy textures, such as the ochres, whether burnt or not burnt, umber, both raw and burnt, Spanish red, Verd de Verona, Venice black, and blue black, made by bruising vine—stalks, or shells of peach-nuts, are all excellent for the purposes of fresco painting. Blues—The best is the ultramarine, as it never suffers any change. Smalt or enamel blue is good as to preScrving \ its tone, and, if used early in the work, will adhere; but if 1 the ground should become too dry before it is used, it is apt ‘ not to incorporate strongly with it, but to come off on the least friction. White lead, lake, verdigris, masticot, Naples yellow, the orpiments, and bone black, are all unfit for this purpose, being liable to change. Painting in fresco, when carefully executed, is of all others the most durable, and therefore the most proper to be employed in adorning public buildings. The use of it for this purpose appears to be very ancient. Norden speaks of paintings in Egyptian palaces 80 feet high, which \Vinkehnan quoting, concludes they were in fresco, from the description given of the prepared grounds, and of the manner in whirh the colours appear to have been used. And all the paintings found at Ilerculaneum, at Portici, and at Rome, of ancient date, are of the same materials. No other kind of paintingr would so etfectually have resisted the action of the air for so great a length of time, and more particularly the excessive i aridity which those of IIerculaneum must have endured, being shut up entirely from the light, and amidst glowing ‘ embers from Vesuvius, emitting of course, especially at first, an intense heat around them. That, however, in one point of View, was favourable to the preservation of those that escaped its immediate action; for damp is the most poWerl'ul destroyer of them, against which no caution taken can make them too secure. In this case of Hereulaneum, damp must have been etl‘ectually excluded, first by the heat of the ashes, and afterwards, as the stratum of those :shes was so thick, water from above could not penetrate so low as to the pictures, particularly after the upper part was covered with the close cake formed by the decomposed parts, on and near the surface. In ordinary situations, the choice of materials is the most FRE 433 FRE important part, to secure the durability of the work, and par- ticularly the greatest care is necessary in the preparation of the ground, and of the wall, to cause it to adhere. Fresco painting has been chiefly employed in palaces, tem- ples, and other public edifices. For large and important places no other kind of painting is so good. As the artist is obliged, from its nature, to proceed with rapidity in its pro- duction, it has necessarily more spirit and vigour in the execution, than paintings in oil, which may be repeated, and re-touched, as often as the artist fancies he can improve, or heighten their effect. In fresco there is not time to meddle, and disturb the freshness of the colour, or the fulness and freedom of the touch. But there can be no minute detail of forms, or extensive variety in the gradation of tints; the beauties of neatness, and delicacy of finishing, make no part of the excellencies of this branch of the art; it will not bear the close examination which well-finished pictures in oil do; there is something dry and rough in its appearance, unpleasing, to the common observer, on too close an inspection. It lacks the full rich sweetness of hue and texture which oil paintings possess; and though it has more freshness, and retains it, yet from the confined number of colours which can be employed in it, it is not equal to oil in the perfection of the imitation of nature. thoever seeks to be pleased with fresco painting, must learn justly to estimate the best, and not the most agreeable qualities of the art. Character, contour, expression, are within its powers; and are the points which the great artists who practise it, knowing its limits, will endeavour most to exhibit in their productions. Harmony of colouring, chiaro- oscuro, and the minute graces of execution, have never yet been rendered in it, or but very partially, in comparison with works in oil. In the early part of the restoration of painting. a species of fresco was the only mode of practising the art, in use. A ground of chalk was prepared on tablets of wood, and the colours laid on it, ground and mixed _in water only, or with some gluten soluble in it. The surface of the picture was afterwards covered with a varnish, to secure it from rubbing, and to give the tints more force and lustre. “ Fresco,” observes a writer in The Builder, “ was much used in England some four or five centuries since, in both ecclesiastical and civil structures of importance; the subjects being chiefly scriptural, with occasional deviations in favour of some legendary achievement, or as a pictorial record of some well - contested battle-field. With these bold and beautiful, but unresisting memorials of things sacred, and deeds that redounded to national glory, the fanatical spirit of the sixteenth and seventeenth centuries warred to extermination ; neither the enrichments of the temple bestowed by the consistent piety of our ancestors, nor the grateful reminiscences of heroic services of the state, were permitted to escape the devilries enacted by the factitious saints of the Puritan calendar: the frescoes perished ; but better taste and better feelings have supervened, bidding fair to re-estab- lish both the art itself, and the influential purposes to which it was anciently devoted.” The report of Mr. Barry on the proposed decorations of the interior of the new Houses of Parliament, is really a splendid programme of the association of sculpture and paint- ing, upon an occasion too so fertile in appliances and means, that the principles of taste will, it is presumed, be developed in a manner to serve as examples for much of future time. \Vith reference to painting, Mr. Barry says—“ I would that the walls of the several halls, galleries, and corridors of approach, as well as the various public apartments through- out the building, should be decorated with paintings, having 5 s reference to events in the history of the country; and that these paintings should be placed in compartments formed by such a suitable arrangement of the architectural designs of the interior, as will best promote their effective union with the arts of sculpture and architecture. With this view, I should consider it to be of the utmost importance, that the paintings should be wholly free from gloss on the surface, that they may be perfectly seen and fully understood from all points of view.” “By paintings with surfaces free from gloss or glaze, we understand those wherein the colours employed are mixed in other mediums than oils or varnishes; and though fresco is not named, yet the magnitude of the surfaces to be covered, and the exception to those which are glazed, leads us to suppose that it is intended to revive this branch of art. Now, though the buildings to be thus adorned are progressing with considerable rapidity, much time must elapse before the interior is prepared to receive the embellish- ments contemplated ; meanwhile, many will have their long- ings to share in these distinguished labours, and, generally, the revival will open a new field for talent, in which. there will shortly be no want of encouragement for those who may have successfully cultivated it; so oblivious, however, has the art become, that we have repeatedly heard the question put as to its nature and mode of execution, and we think an explanation will be useful to many of our readers. Fresco is the art of painting in relieve with water-colours on fresh plaster; the amalgamation thus formed of the decorative material with the body to which it is applied, is endued with un- changeableness and permanence of a very extraordinary kind.” The appointment of “A Commission on the Fine Arts,” especially directed “to inquire into the mode in which, by means of the interior decorations of the Palace at VVest- minster, the fine arts of this country can be most effectually improved,” has no doubt led to the revival of the art of fresco-painting. The various reports of the commission contain a great deal of valuable information on the subject, and the employment of several artists to furnish specimens, has brought forward some beautiful examples of fresco- painting, and elicited talent that might, but for these circum- stances, have been lost to the world. In addition to the encouragement thus afforded, the stimulus of a public com- petition, and the distribution of rewards to the successful candidates, Her Majesty and Prince Albert had given the advantage of their countenance to the art, by ordering the decoration of a summer—house in the gardens of Buck- ingham Palace with fresco paintings. The idea of this experiment, for so it must be called, was surely a happy one ; and not the less seasonable, that every one who had considered the subject (at least every one who understood it), felt that it was a method which presented peculiar difficulties to some of the ablest and most distin- guished of our painters, whose habitual style of treatment of their subject and effect, had been precisely the reverse of what is required in fresco. The application of fresco-painting, it may be observed, to the decoration of architecture, demands the adaptation-of parts to a whole ; a preconcerted mode of treatment, in which the painting shall seem to be in unison with the original design of the edifice ; the harmonious combination of many minds, working under the direction of one mind, to one purpose; and with regard to the mechanical part of the process, it requires much thought and study in the preparation of the materials, and great care and precision, as well as great rapidity, in the execution. The summer~house in question is very small, and is situated on an artificial mount in the gardens, overlooking the orna- mental waters. FRE ,434 FRI The entrance to the pavilion opens into the principal apartment, an octagon 15 feet 9 inches from side to side, and 14 feet 11 inches in height to the centre of the vaulted ceiling. It is here, in eight lunettes at the foot of the vault, that the frescos from “ Comus ” appear, of which for the most-part types have been exhibited in the rooms of the Royal Academy, by the respective artists. Over the entrance-door, is Stanfield’s, illustrative of the following passage :— “ Yet some there be that by due steps aspire To lay their just hands on that golden key, That Opes the palace of Eternity. To such my errand is.” COMUS, v. 12—17. It is admirably transparent, and exhibits more power over the material than the majority of the works. Passing round with the sun, Mr. Uwin’s follows, having for motto, “ This is the place as well as I may guess, Whence even now the tumult of loud mirth Was rife.” Then comes Leslie : Ross follows. Eastlake’s is over the mantelpiece ; Maclise, Edwin Landseer, and Dyce, complete the eight. A copy of Mr. Maclise’s work was in the Academy exhibition of 1845, and will be remembered by all. The lines illustrated are, “ If virtue feeble were, Heaven itself would stoop to her.” Maclise shows the lady spell-bound in the marble chair, and displays much of his usual power. Mr. Landseer has found in the following lines an opportunity to exhibit his great skill in depicting the brute form :— “ Their human countenance Th’ express resemblance of the gods, is changed Into some brutish form of wolf or bear, - 01‘ ounce or tiger, hog or bearded goat.” COMUS, v. 68—71. Comus, surrounded by his crew, is terrified by the approach of the brothers, who appear behind in the act of rushing upon them. A bacchante, with a beautiful female form, and the head of a hound, has thrown herself in afl‘right upon the arm of Comus. Other monsters, half brute, half human, in various attitudes of mad revelry—grovelling, bestial insen— sibility—confusion and terror—are seen around him; the pathetic, the poetical, the horrible, the grotesque, all wildly, strangely mingled. In the spandrils are two heads—a grinning ape, and a bear drinking. Mr. Dyce winds up the illustrations with the presentation of the lady and her two brothers to their parents, who come forth to receive them, and he has produced what must be considered the best fresco, although perhaps wanting exactly the right sentiment. The operations of the Fine Arts Commission seem to have been highly satisfactory. to the public in general, and, in respect to fresco—painting in particular, must be viewed as eminently successful. The exhibitions in \Vestminster Hall presented numerous paintings in this so long-disused art, of a highly artistic character; and the number of the prizes awarded, testify the great merit of the productions. The result of the preliminary competition was shown in the selection of several eminent artists to execute fresco-paintings in the new Palace of \Vestminster, and in the completion by those gentlemen of some of the finest pictures in this peculiar style, that have been seen since the days of thegreat painters of fortner times. It would extend this article beyond the limit assigned to it, to give a full description of these admirable works; we must therefore confine ourselves to a list of the artists selected, and the subjects allotted to each for illustration. The commissioners having decided that six compartments in the new House of Lords should be decorated with fresco- paintings, proceeded to allot the several works in the follow ing manner :— To Mr. Horsley, the subject of Religion. To Mr. Thomas, the subject of Justice. To Mr. Maclise, the subject of Chivalry. To Mr. Dyce, the subject of the Baptism of Ethelbert. To Mr. Redgrave, the subject of Prince Henry, afterwards Henry V., acknowledging the authority of Chief Justice Gascoigne. And to Mr. Cope, the subject of Edward the Black Prince receiving the Order of the Garter from Edward III. In the Upper \Vaiting Hall, or, as it is to be called, the “ Hall of Poets,” the eight available panels which it affords, are appropriated to frescoes illustrative of Chaucer, Spenser, Milton, Shakspere, Dryden, Pope, Byron, and Scott. Such of these paintings as are finished at the time we write, are noble works, full of power and beauty, and fullyjustifying the commissioners in the selection they have made of the artists employed. The principal works that have been produced in former times in fresco, are the series of biblical and evangelical historic pictures which adorn the walls and ceiling of the chapel of Sixtus V. at Rome, by M. A. Buonarotti; the chambers of the Vatican. known by the name of the Stanze of Raphael; which consist principally of religious histories, interspersed with some legendary tales, relative to the popes; and the cupola of the duomo of Parma, or church of St. Giovanni in that city, by A. Correggio. It represents the Ascension of the Virgin,°amidst a choir of angels, and with a number of figures of saints below regard- ing it. One beautiful and grand w01‘k,-by Daniel Ricciarelli, commonly called Da Votterra, at the altar of the church of Trinita da Monte, the subject of which is taking Christ down from the cross, is said to have been destroyed by the French, in their endeavours to remove it to France. Dorigny has engraved a large print of the design; and the picture has been thought so well worthy of attention, that an infinite multitude of copies have been made of it. FRET, (from the Latin, fretum,) a species of guillochi, made of straight grooves or channelures at right angles to each other; the section of each channel being that of a rectangle. A fret is generally one connected groove with some of its parts in the same straight line. The labyrinth fret is that which consists of many turnings or windings, but in all cases the parts are parallel and perpendicular to each other. The prominent parts or interstices are generally of the same breadth throughout. In several Grecian examples, intervals are left in regular positions throughout the length of the fret. FRET is also elaborate carved-work, the same as ENTAIL. FRIARY, the building inhabited by a fraternity of friars. FRIEZE, or FRIZE, (called by the Greeks coop/torus) the middle principal member of the entablature which separates the cornice from the architrave. The frieze was supposed to be originally formed by the transverse beams, which were necessary to prevent the walls or sides from spreading outwards by the pressure of the rafters of the roof. The Doric is the only order that has an enriched frieze peculiar to the order itself. The ornaments with which the friezes of the Ionic, Corinthian, and Roman orders are fre- quently decorated, are only accidental, and when introduced are accommodated to the circumstances or use of the build- ing. WVhen the frieze is charged with ornament, it ought to be higher than when plain. Vitruvius directs the frieze “xx“ \\\Q\%\\\\\x\\\\\\ \\\\\\ ~\\“\\ \ ‘\ >0 \; \ . / A , / / /// ' /€/ // 7/ /' V F R E "1‘ S . ' PLATEI 7.,/ f , 7 7 7 // // ”/7 / 74C ,, / ” , :/ 77/ / M o 7% \ Wh/ Z / //, // /- 7/ I / 7 7/ ' / /le/; 7¥/%/ / // //’/ _ 6// / 2/ / /W// / ym . 7/ // // 7 // / 7/{7”7/Z///'///////’/7( 4 7////( / W 7/7// %/ / 7/ /// - 1/ .V , / 7/77 '// / 7 V /,, 7 / fl” 7 r 7’ / I , V/Wfl/ / ’,//' 9-35 7 //7 // / , - 2/ 7 // / // _ ‘ /- /; /ZW%/ W 7////// , //,///// 1“,; / ,v / > / , / r/ > . 7W/7///5 H27/”/ .% I I V g g 7/ / / // , // w // . / \\ V I////////,; 1/ V, ’ "/ r, / /, 7 ,:// 7/» "7 17/“ F R E 7f S _ filly/,5,” ‘, ,, %, 7 // .3 , / '/ . // / / %% , , TV, ' ,1 ‘ , W ‘ M . a" 7 v /’ 1/; 9,-” / / / ' q: 1/2; f. ,/ .; ¢ ///% ¢ / / / M / % / / % W7 %%%% % /& //% / %/% é/% , V . ‘ ./ w, ,. 11 f :1 [3C] C1. C] [3 fl. L \ ___ ___~,-A FRI 435 FRU of the Ionic to be one-fourth part less than the epistylium, when it is plain; and one-fourth part greater when orna- mented; and this seems reasonable, in order to set off the decorations to greater advantage. Ancient examples show no authority for a general propor- tion in all the orders. In the Grecian Doric, the frieze is very high, being equal to the altitude of the architrave, and each of these greater than the cornice; the Corinthian, on account of the numerous members of the cornice, has its frieze less than one-third of the height of the entablature. Vitruvius makes the line of separation between the frieze and the cornice immediately under the dentils, and not at the bottom of the cymatium, as by Palladio, Perault, and others; for the frieze must have a terminating member as well as the architrave. ' FRIEZES are either convex or pulvz'naled: examples of the latter are to be met with as follow : at Reine, in the Com- posite order of the temple of Bacchus ; the Corinthian order of the basilica of Antoninus ; and in the Composite order of the Goldsmiths’ arch: in all which the curves are circular, and not very prominent. At Spalatro, in the Corinthian order of the portico of the vestibulum of the Periostilium ; in the same order, exterior and interior, of the temple of Jupiter, and of the entrance of the temple of Esculapius: where the curves are all circular, and very prominent. In “food’s Ruins of Balbec (as represented in plate 31) of the Corinthian order, where the curve is elliptical. In the Corinthian order of Wood's Ruins of Palmyra, (plates 23 and 46), the curve is elliptical ; and in plates 33 and ~10, it is circular. In the Ionian Antiquities; (vol. ii., plates 27 and 45) the curves are of a contrary flexure, with the con— cave part above; and in plate 50, the curve is circular. Swelled friezes are to be found among the examples of antiquity, particularly during the decline of the Roman empire; but these precedents ought not to influence their use, as they are unnatural, and defeat the purpose they were intended to answer, namely, to form a relief to the eye between the cornice and the architrave. FRIEZE, Panel, the upper panel of a six-panelled door. FRIEZE, Rail, the top rail but one of a six-panelled door. FRIEZES, Flourished, such as are enriched with reeds 0r imaginary foliages, as in the Corinthian frieze of the frontis- piece of Nero. FRIEZES, Ifz’storz'cal, those which are adorned with bas- relievos, representing histories, or sacrifices, as those of the Parthenon and the temple of Theseus at Athens, and the arch of Titus at Rome. FRIEZES, flfariue, such as represent sea-horses, tritons, and other attributes of the sea; or shells, baths, grottos, 8w. FRIEZES, Rustic, those whose courses are rusticated, as the Tuscan frieze of Palladio. FRIEZES, Symbolical, such as are adorned with the attri- butes of religion, as the Corinthian of the temple behind the Capitol at Rome, \vhereon are represented the instruments and apparatus of sacrifice. FRIEZE or THE CAPITAL, the same as HYPOTRACHELION, which see. FRIGERATORY, (from the Latin, fl'igz'dus, to cool) a lace in a house intended to keep things cool in summer. FRIGIDARIUM, (Latin) an apartment in which to keep things cool. It also means the cold bathing-room in the baths of the ancients, as well as the vessel in which the cold water was received. The word has been likewise applied to the reser- voir of cold water in the hypocaustum or stove-room, which was termed ahenumfrz'gidarium. . FRIZE. See FruEZE. FRONT, (from the Latin, frons, the face,) any side or face of a building. The principal front should be that which commands the best prospect, or may be seen to the greatest advantage; and is generally the entrance-front. FRONTAGE, the front part of an edifice. FRONTAL, the hanging suspended over the front of the altar. It was made of the richest material, silk, velvet, and cloth of gold, and worked in the most costly manner in embroidery. Otherwise termed Antependium. FRONTON, (French) a pediment, or other ornament over doors, niches, &c. FROSTED, a species of rustic work, imitative of ice formed by irregular drops of water. FROVVEY TIMBER, such as works freely to the plane without tearing, and consequently has the grain nearly in the same direction. FRUSTUM, Latin) the part of a geometrical parallelogram next to the base, after cutting away the upper part, which contains the apex. Thus we have frustums of pyramids, cones, conoids, hemispheres, 820. To measure tlzefrustum of a square pyramid. To the rectangle of the sides of the two bases, add one- third of the square of their difference ; their product being multiplied by the height, will give the solidity. EXAMPLE—In the frustum of a square pyramid, one side of the base A B or B C is 3 feet 6 inches, each side of the top 2 feet 3 inches, and the perpendicular height H I, 8 feet 9 inches, the solidity is required. By Duodecimals. 3 -- 6 Deduct 2 3 the less side of the top. rence. 1 .. 3difl‘e .. 3 1 9 3 ) 1 -- -- 9 square of difference. 3 03030903 MC) .. 3 0 --10 -- 6 one-third of the square of the difference. (17 ..p coco CDC) ..9 ..7 0') Q NJ «:04 .. 7 the solidity required. By Decimals. 3 .. 6 :1 3.5 2 .. 3 = 2.25 8 -- 9 = 8.75 1?}:11 ' 4 6 FUS 3.5 2.25 1.25 difference of the two bases. 1.25 625 250 125 3 ) 1.5625 sq. of the difference of the two bases. .5208 2.25 3.5 1125 675 7.875 Add .5208 being J3 of the squ. of the difference. 8.3958 8.75 419790 587706 671664 73.463250 the solidity required. To measure thefrustum of a cone. To the rectangle of the two diameters, add one-third of the square of their difference: multiply the sum by .7854, and the product by the length. EXAMPLE—\Vlmt is the solidity of the frustum of a cone, the diameter of the greater end being 3 feet, that of the lesser end being 2 feet, and the altitude 9 feet ? 3 2 _— 1 difference of the diameters. 1 1 sq. of the difference of the diameters. 3 2 6 Add 13: Sum 61- .7854 6% 47124 2618 4.9742 9 the length. 44.7678 the solidity of the frustum. FULCRUM, in mechanics, that by which a lever is sustained. FUMARIUM, an upper room used by the Romans for collecting the smoke from the lower ones. The Fumarium was chiefly used, however, for smoking or ripening wines. FUNNEL, that part of a chimney which is contained between the fire-place and the summit of the shaft. AS'ee CHIMNEY. FURCAT ED, having a forked appearance. FURLONG, a measure of length, the eighth part of a mile, forty poles. FURNITURE, the fastenings of doors and windows with brass knobs, 8w. FURRING, when the edges of any number of timbers in a range are out of the surface they were intended to form, either from their gravity, or in consequence of an original deficiency of" the timbers in their depth ; the fixing of thin scantlings or laths‘ upon the edges, so as to form that surface, is called furring. Thus the timbers of a floor, though level at first, are often obliged to be furred: in the reparation of old roots, the rafters have mostly to undergo this opera- tion: and the ceiling joists, both of new and old floors, frequently require it. FURRIN GS, the pieces of timber employed in bringing any piece of work in carpentry to a regular surface, when the work is deficient through the sagging of the timbers, or other causes. FUR-UP. See FURRING. FUST, (from the French) the shaft of a column, or trunk of a pilaster. FUST, a term used in Devonshire, and perhaps in some other counties, for the ridge of a house. FUSTIC, sometimes called YELLOW WOOD. This wood, the fllorus tinctoria, is a native of the “est Indies, and affords much colouring-matter, which is very permanent. The yellow given by fustic without any mordant, is dull and brownish, but stands well. The mordants employed with weld, act upon fustic in a similar manner, and by their means the colours are rendered more bright and fixed. The wood of this tree is also used in mosaic cabinet-Work and turnery. FUSUROLE, or FUSAROLE, (from the Latin) a semi-A circular member cut into beads, generally placed under the echinus of the Ionic and Roman capitals. GAG 437 GAL GABION, a hollow cylinder of wicker-work, resembling a basket, but having no bottom. It is formed by planting slender stakes vertically in the ground, at intervals from each other, on the circumference of a circle, and interweaving with them osiers or other flexible twigs. Such gabions are used during a siege, in executing trenches by the process of sapping : for this purpose, they are placed on end, with their sides inclining a little outwards, on that side of the line of approach which is nearest to the fortress ; and, being filled with earth obtained by the excavation of the trench, they form a protection against the fire of the enemy. After the gabions are filled, the required thickness is given to the parapet of the trench by throwing the earth below the line. GABLE, (from the British, gavel) the upper portion of the end of a building wall, which closes the end of the roof, in shape similar to a triangle, and answering, in some respects, to the term PEDIMENT, applied to classic architec- ture. The gable forms a prominent feature in medizeval build- ings, and its shape conforms to that of the roof; which is various at different periods. In Norman buildings, the angle of the roof is as nearly as possible a right angle, while in Early English edifices the gable is frequently an equilateral triangle. In the Decorated the roof is somewhat depressed, which depression increases in the Perpendicular and later buildings. The finish to Norman gables was probably a flat coping, to Early English a moulded coping, sometimes further ornamented with crockets and finials ; but these were more frequently introduced in the later styles, in which also the gables were sometimes finished with a pierced parapet or battlement. In Domestic architecture, gables with overhang- ing roofs were ornamented with BARGE-BOARDS. The term is also applied to the entire wall at the gable-end of a building. GABLE-ROOFED, having a roof abutting against a gable wall. GABLE-WINDOW, a window in the gable end of a building. GABLET, a small gable ; an ornament in shape like a gable, frequently introduced over tabernacles, niches, but- tresses, &c. GAGE, (French) in carpentry and joinery, an instrument for drawing one or more lines on any side of a piece of stuff, parallel to one of the arrises of that side. There are four kinds of gages : the common gage, the mor- tise-and~tenon gage, the internal gage, and the flooring gage. The common gage and the flooring gage are both applied to the drawing of a line parallel to an arris. The common gage consists of two pieces of wood, one of which passes through a mortise in the other, and has an iron or steel tooth fixed near one of its extremities; so that the point may be placed at any distance from the mortised piece: then the piece which passes through the mortise is fixed by a wedge also through that piece: the piece through which the mortise passes is called the head, and the piece passing through the mortise, in which the iron tooth is fixed, is called the stafi: When a line is drawn from the arris upon one side, at a given distance, the head is a fence that always keeps the staff at right angles to the arris, and equidistant, in moving it to and fro. 5 1' G. The mortise-and-tenon gage is a. common gage with a lon- gitudinal slider, moveable in a dovetail groove: the slider has also a tooth fixed as near to the end next the tooth in the end of the staff as possible ; so that the teeth may be brought almost to any distance from one another. The internal gage is constructed similar to the staff of the mortise-and-tenon gage : it has a longitudinal slider, the whole length of the staff, without a head, or any other tooth than that of the slider. The flooring gage consists of a head and staff fixed toge- ther, at a very obtuse angle: on the head are a number of equidistant furrows at right angles to the staff: the section of each furrow is an internal right angle, one side of which is in a straight line with the tooth, and the other becomes a fence in the act of gaging. This gage is made to aswer battens or deals of various widths: Each width is numbered, according to the furrow that is applied as a fence ; so that a flooring board, which is not sufficiently long, may be extended, by a piece of the same breadth, to the length required. GAIN, the bevelled shoulder of a binding-joist for the purpose of giving additional resistance to the tenon below. See TUSK. GALILEE, a porch, usually built at or near the west end of the great abbey - churches, where the monks collected themselves, and drew up in returning from some of their pro- cessions ; where dead bodies were deposited previous to their interment ; and where, in certain monasteries, females alone were allowed to see the monks to whom they were related, or to attend divine service. Galilees exist in England in the cathedrals of Durham, Ely, and Lincoln. In the former instance, it is a large chapel at the west end of the nave, measuring 80 feet by 50, and divided into five aisles by semi-circular arcades on clustered columns; it likewise contained three altars. The galilee at Ely is in the same position, but of much smaller dimensions, while that at Lincoln is on the west side of the south transept. Many improbable conjectures have been formed concerning the derivation of the name. The real occasion of it seems to be this : when any female applied at the abbey-gate for leave to see her relative, who was a monk, she was directed to the western porch of the church, and told, in the terms which so frequently occur in the service of the pascal time, alluding to Matt. xxviii. 10, and Mark xvi. 7, that she should see him in Galilee. This explanation is confirmed by a passage of Gervasius the monk of Canterbury. De Combust. et Repar. Dorob. Eco. Tug/5d. X. Script. GALLERY, an apartment of a house, not always destined to answer the same purpose : the term is applied, in a general way, to any passage or apartment, the length of which greatly exceeds its breadth. A common passage to several rooms in one range, in any upper story of a house, is called a gallery; a long room for the reception of pictures is called a gallery ; the platform raised upon pillars, or projected from the wall of a church, open in the front to the central space, for the accommodation of a greater number of people than the body of the church would admit, is called a gallery. The whisper- ing-gallery of St. Paul’s, as also that of the chapel of Green- GOA 438 GAR wich Hospital, are projected, and supported by cantalivers from the wall. The whole, or a portion of the uppermost story of a theatre, is likewise called a gallery. The appella- tion is also frequently given to portieos formed with long ranges of columns on one side. Savot, in his Architecture, derives the gallery from Gaul, as supposing the ancient Gauls to have been the first who used them: Nicod, from the French, aller, to go; q. d. allerz'e: others bring it from galére, galley, because it. bears some resemblance thereto in respect of health. . The length of galleries is (according to Palladio) from eight to ten times their breadth. GANG-LADDER, in canal-making, a frame answering the same purpose as a horsing block. GANG-IVAY, a temporary stair, made with planks set- edge to edge of each other, having transverse pieces of wood nailed over for steps; used particularly by masons, brick- layers, and carpenters, for ascending, or descending the vari- ous stories of a building, before the stairs are put up. GAOL, (from the French, géole, formed of the Latin, geola, gaola, or gag/Ola, a cage) a prison, or place of legal confinement ; the word is now generally written JAIL. Every county has two goals ; one for debtors, which may be any house where the sheriff pleases; the other for the peace and matters of the crown, which is the county goal. By 22 and 23 Car. II. c. 20, the gaoler shall keep debtors and felons separate, on pain of forfeiting his office, and treble damages to the party aggrieved ; and by 31 Geo. III. e. 46, transports are to be kept separate from other prisoners. As the gaol is intended, in most cases, for custody, and not for punishment, it is enacted by 14 Geo. III. e. 59, that thejus- tices, in their several quarter-sessions, shall order the walls and ceilings of the several cells and wards, both of the debtors and felons, and of any other rooms used by the prisoners in their respective gaols, where felons are usually confined, to be scraped and whitewashed once in the year, at least, and to be regularly washed and kept clean, and constantly sup- plied with fresh air by hand-ventilators or otherwise; and shall order two rooms in each gaol, one for the men and an- other for the women, to be set apart for sick prisoners ; and order a warm and cold bath, or commodious bathing—tub, to be provided in each gaol, and direct the prisoners to be washed in such warm or cold baths, or bathing-tubs, &c., and they shall appoint an experienced surgeon and apothecary, at a stated salary, to attend the gaol, and to report, at each quar- ter-seSSions, the state of the health of the prisoners; order clothes for the prisoners when they see occasion, prevent their being kept under ground, when it can be done conveniently, and from time to time make orders for restoring or preserving the health of the prisoners; the expenses to be paid out of the county rates, or out of the public stock of any city, fran- chise, or place to which the gaols belong. The gaoler is subject to fine for neglect or disobedience of the orders of justices, by complaint to the judges of assize, or to thejus- tices in their quarter-sessions. .By 31 Geo. III. e. 46, visit- ing-justices are appointed for inspecting gaols at least three times in each quarter of a year, in order to prevent abuses, &c , and they are to report to the quarter-sessions. The jus- tices in sessions may also appoint clergymen to ofliciate in gaols, and allow them a salary to be paid out of the county rates. If a gaol be out of repair, insufficient, &c., the justices of the peace in their quarter-sessions may agree with work- men for rebuilding or repairing it; and by warrant under their hands and seals, order the sum agreed upon to be levied Upon the several hundreds and divisions in the county, by a proportionate rate ; and the justices in sessions may borrow, l on mortgage of the said rates, any sum not less than £50 nor more than £100, and discharge the whole by yearly pay- ments. 11 and 12 Will. III. cap. 19. 24 Geo. III. e. 54. See PRISON. GARD, Pom du. See AQUEDUCT, BRIDGE. GARDEN, Hanging, a sort of ancient garden, which is said to have been formed in a raised manner, on arches, by Nebuehadnezzar king of Babylon, with the view of gratify- ing his wife Amyctis, who was the daughter of Astyages, king of Media. These gardens are supposed by Quintus Curtius to have been equal in height to the city, which is 50 feet. They contained on every side a square of 400 feet, and were carried up in several terraces, surmounting each other, to which there were ascents by different flights of stairs or steps, that had 10 feet in width. The arches that sustained the whole of this pile were raised above each other, being strengthened by a wall on every side of above seven yards in thickness. The floors of the several terraces were laid first with large flat stones, of considerable lengths and breadths, over which was placed a stratum of reed mixed very fully with bitumen, then two rows of bricks closely cemented toge- ther with mortar, and the whole afterwards covered with thick sheet-lead, upon which the mould of the garden was deposited, to such a depth as to admit large trees to take root and establish themselves in it. Trees, plants, and flowers of various kinds, were introduced into these gardens. The upper terrace was likewise provided with an aqueduct or engine, by which the water was drawn up from the river, and dispersed over the whole of the gardens when necessary. Some have condemned these gardens as unnatural, while others have considered them as deserving of a portion of praise; but whatever merit may have been allowed them, they could certainly never have had anything of the natural or rural character about them. GARDEN-SEEDS, erections for containing garden imple- ments, flower-pots, hot-bed frames, and glass sashes ; also for working in, during bad weather. They are best placed on the back-wall of the tool-house, by which means they may be made to hold the furnaces, fuel, and other articles. GARGOYLE, GARGLE, GARGYLE, AND GURGOYLE, a stone projecting from the wall of Gothic buildings, and serving for a spout to convey the water from the roof, and : throw it off the wall. These stones are more frequently carved into grotesque figures or animals, through the mouth of which the water passes; sometimes, however, the Wiltt'l' is carried through a leaden pipe above or below the figure. Their usual position is in the cornice of buildings, but they are found also in other positions, such as buttresses, «Sic. GARLANDS, (from the French, gm'rlande; from the Latin, garlanda, or Italian, glzirlanda,) ornaments of tiowm‘s, fruits, and leaves, anciently used at the gates of temples. where feasts or solemn rejoicings were held. Garlands of festoons were also put on the heads of victims, in the ancient heathen sacrifices. GARNETS, Cross, a species of hinge, used in the most common works, formed in the shape of the letter '1‘, turned thus, 91 , the vertical part being fastened to the style orjamb of the door-case, and the horizontal part to the door or shutter. GARRET, (from the French, garite, the tower of a cita- del) the uppermost story of a house, when taken either par- tially or wholly from the space within the roof. GARRETING, the insertion of small pieces of stone between the joints of rough masonry, as in rubble and that walls. _ GARRISON, a fort, castle, or fortified town furnished with troops to defend it. GAT GATE, a. large door for shutting the entrance’ of parks, fields, towns, castles, palaces, or any other considerable buildings. The width of gates is from eight to twelve feet : the height depends upon the purpose to which they are applied. See DOOR. GATE, in Rural Economy, a frame of wood constructed with a number of bars, and fixed in such a manner as to swing upon hinges, for the purpose of affording convenient passage into and out of inelosed grounds, or other places. In the constructing of gates, of whatever kind or form they may be, the materials should constantly be well prepared by proper seasoning before they are put together ; as, where this is not the case, they soon become much injured by their constant exposure to the effects of the sun and wind. They also require that the different parts be put together with con- siderable accuracy and correctness. In respect to durability, there can be no doubt but that oak is by much the best sort of wood to be employed ; but some of the more light kinds of wood, such as those of the deal, villow, and alder sorts, answer the purpose extremely well, and are very durable, as, on account of their lightness, they do not destroy them- selves so much in shutting. It is found by experience that the lighter gates can be made in their foreparts, so that they be sufficiently strong for the intended purpose, the better they answer. For this reason, in some cases, as where horses are chiefly to be confined, the top bars, by being left of more strength, may admit of the others having less substance; but if this be not done, they are apt to be broken by the horses rubbing their necks upon them, unless where they are made of great height. The width of gates for general purposes is mostly from eight and a half to nine feet, and the height from five to six feet ; the bars being five or six in number, and each four or five inches in breadth. Hence they are frequently denomi- nated five or six-barred gates. In cases where fowls or other small animals are to be guarded against, it is better to run a smaller bar between the two lowermost ones, as by this means their passage is prevented. GATE, in Engineering, is applied to the close-boarded doors of locks or sluices on canals or rivers, for penning up the water: in a lock these are distinguished by upper-gates and lower-gates, according as they are placed at the head or tail of the lock. GATE-HOUSE, a building erected over a gate, or that through which entrance was obtained into the main building. Gate~houses were very usual in the erections of the middle ages, and were employed in all large buildings, ecclesiastical, military, and civil, also as entrances to fortified cities ; thus in London we still preserve the names of several gate-ways in the old wall, as New-gate, Bishops-gate, Lyd-gate, &c., at each of which places was formerly a gate-house, through which entrance was obtained within the city. These build- ings were often of an imposing character; and in military works consisted, for the most part, of a large arch-way with groined ceiling, and a portcullis at each end, flanked by two massive projecting towers, pierced with loop-holes, through which to annoy the enemy, and surmounted by a battle- mented parapet. Those attached to civil and ecclesiastical buildings were generally of a more ornamental description, sometimes consisting of only a square tower with a turret at one or more angles, having a large arch—way in the centre with groined ceiling and room above, the window of which—- frequently an oriel—formed a picturesque addition to the elevation. The forms of these gate-houses were, however, various, and admitted of different degrees of ornamentation. In some cases, there was a small arch-way by the side of the 439 GEO principal one for foot-paSSengers, and in others a similar one on either side ; they were called posterns. Remains still exist in most of the old towns, amongst the most remarkable of which are those of Battle Abbey, Sussex, Bristol, Bury St. Edmund’s, St. John’s Gate, Clerkenwell, and St. Augus- tine’s College, Canterbury. GATE-WAY, the passage through which entrance is obtained into a town, building, &e. GATHERING OF THE WVINGS, in a chimney, the sloping part above the fire-place, where the funnel contracts or tapers till it reaches the tube or flue.- GAVEL, the same as GABLE, which see. GAUGE. See GAGE. GAUGE, a term applied to signify the width between the rails on a railway. GEMMEL, GYMMER, or CHYMOL, an ancient term for a hinge. GENERATING LINE, or PLANE, in geometry, is a line, or plane, moving according to a given law, either round one of its extremities, as a fixed point or axis, or parallel to itself, in order to generate a plane figure or solid, which is formed by the space it has gone over. GENESIS, (from the Greek, ya’vsmg, origin, or beginning) in geometry, the formation of a line, plane, or solid, by the motion of a line, plane, or surface; thus, a sphere is con- ceived to be generated by the motion of a semicircle revolv- ing on its diameter, which is called tlie axis qfcircumvolution. A triangle may be conceived to be generated by the motion of a line parallel to its base, in such a manner that the describing line must be a fourth proportional to the base, the altitude, and the distance of the line from the vertex of the triangle. In the genesis of figures, the moving point, line, or surface, is called the describent, and the line round which, or accord— ing to which, the revolution is made, the dirigent. GENTESE, in Early English architecture, cusps or fea- therings in the arch of a doorway. GEOD’ESY, that branch of applied mathematics which determines the figures and areas of large portions of the earth’s surface, the general figure_of the earth, and the vari- ations of the intensity of gravity in different regions by means of direct observation and measurement. GEOLOGY, the science which treats of the internal structure of the earth as far as we have been able to pene- trate below its surface, of the arrangement of the materials of which it is composed, and of the changes which have taken place in them. GEOMETRICAL, something that has a relation to geo- metry: thus we say, geometrical method, geometrical genius, geometrical strictness, geometrical construction, geometrical demonstration, 8:0. GEOMETRICAL Locus, or PLACE. See Locus. GEOME'rRiCAL PACE, a measure of five feet. GEOMETRICAL PLAN. See PLAN. GEOMETRICAL PLANE, in perspective, the same as ground plane, or original plane. GEonErchL SOLUTION or A PROBLEM,a solution accord- ing to the strict principles of geometry, by lines that are truly geometrical. In this sense, we say, a geometrical solution, in contradis- tinction to a mechanical or an instrumental solution, where the problem is only solved by rule ‘ and compasses. Geometrical problems are distinguished into three kinds, viz., plane, solid, and linear. Plane problems are such as may be solved by a right line and a circle. Solid problems are derived from the consideration of a solid that is a cone. GEO 440 GEO Linear problems are derived from lines more compounded. GEOMETRICAL STAIR, such as is only supported by the wall at the one end of the steps, with a Continued string at the other. GEOMETRY, (from the Greek, yewluerpta, formed of yea or 7/77, earth, and flETpfw, to measure) the doctrine, or science of extension, or things extended, viz. of lines, surfaces, or solids. Geometry has also been defined in general terms as the science of space. According to Herodotus, Strabo, and Diodorus, the Egyptians were the first inventors of geometry, and it is asserted by these ancient writers, that to the annual inunda- tions of the Nile, we are to attribute the first steps in this science. That river, in its overflowings, bearing away all the bounds and landmarks of men’s estates, and covering the whole face of the country, the people were obliged to distin- guish their lands by the consideration of their figure and quantity; and thus, by experience and habit, they formed to themselves a method, or art, which was the origin of geometry. A farther contemplation of the draughts of figures of fields thus laid down, and plotted in proportion, might, naturally enough, lead them to the discovery of some of their excellent and wonderful properties; and as these speculations continually improved, so the art gradually improved also, until it attained the perfection of thcpresent day. Josephus, however, seems to attribute the invention to the Hebrews; and others, among the ancients, make Mercury the inventor. From Egypt, geometry passed into Greece, being carried thither, as some say, by Thales, where it was much culti— vated and improved by himself, Pythagoras, Anaxagoras of Clazomene, Hippocrates of Chios, and Plato. The latter testified his conviction of the necessity and importance of geometry, in order to the successful study of philosophy, by the following inscription on the door of his academy: “ Let no one ignorant of geometry enter here.” Plato, con- ceiving that geometry was too mean and restricted an appella- tion for this science, substituted for it the more extensive name of mensuration; and others have denominated it pantometrg. Other more general and comprehensive appella- tions are perhaps more suitable to its extent, especially in the present advanced state of the science; and accordingly, some have defined it as the science of inquiring, inventing, and demonstrating all the afections of magnitude. Proclus calls it the knowledge of magnitudes and figures, with their limitations; as also of their ratios, affections, positions, and motions of every kind. About fifty years after Plato, lived Euclid, who collected together all those theorems which had been invented by his predecessors in Egypt and Greece, and digested them into fifteen books, intitled the Elements of Geometry; and those propositions which were not satisfac- torily proved, he more accurately demonstrated. The next to Euclid, of those ancient writers whose works are extant, is Apollonius Pergmus, who flourished in the time of Ptolemy Euergetes, about two hundred and thirty years before Christ, and about one hundred years after Euclid. The third ancient geometer, whose writings remain, is Archimedes of Syracuse, who was famous about the same time with Apollonius. “re can only mention Eudoxus of Cuidus, Architas of Tarentum, Philolaus, Eratosthenes, Aristarchus of Samos, Dinostratus, the inventor of the quadratrix, Menechmus, his brother, and the disciple of Plato, the two Aristeuses, Conon, 'I‘hrasideus, Nicoteles, Leon, Theudius, Hermotimus, and Nicomedes, the inventor of the conchoid; besides whom there are many other ancient geometers, to whom this science is indebted. The Greeks continued their attention to geometry, even after they were subdued by the Romans. \Vhereas the Romans themselves were so little acquainted with this science, even in the most flourishing time of their republic, that they gave the name of mathematicians, as Tacitus informs us, to those who pursued the chimeras of divination and judicial astrology. Nor were they more disposed to cultivate geometry, as we may reasonably imagine, during the decline, and after the fall of the Roman empire. The case was different with the Greeks ; among whom we find many excellent geometers, since the commencement of the Christian era, and after the translation of the Roman empire. Ptolemy lived under Marcus Aurelius; and we have, extant, the works of Pappus of Alexandria, who lived in the time of Theodosius; the commentary of Eutocius, the Ascalonite, who lived about the year of Christ 540, on Archimedes’ mensuration of a circle; and the commentary on Euclid, by Proclus, who lived under the empire of Anastasius. The consequent inundation of ignorance and barbarism was unfavourable to geometry, as well as to the other sciences; and those few who applied themselves to this science, or indeed to any branch of learning incomprehensible by the vulgar, were calumniated as magicians. In those times of European darkness, the Arabians were distinguished as the guardians and promoters of science; and from the ninth to the fourteenth century they produced many astronomers, geometers, geographers, 820., from whom the mathematical sciences were again received into Spain, Italy, and other parts of Europe, somewhat before the beginning of the fifteenth century. Some of the earliest writers after this period, are Leonardus Pisenus, Lucas Paciolus or de Bingo, and others who'flourished between 1-100 and 1500. After this period appeared many editions of Euclid, or commentaries ‘ upon his Elements; e. g., Orontius Fineus, in 1530, published a commentary on the six first books; as did James Peletarius in 1557; and about the same time, Nicolas Tartaglia pub- lished a commentary on the whole fifteen books. We might . also mention other editions or commentaries; such as those , of Commandine, Clavius, Billingsly, Scheubelius, Harlinus, Dasypodius, Ramus, Herigon, Stevinus, Saville, Barrow, Tucquet, Dechales, Furnier, Scarborough, Keill, Cann, Stone, and many others. At the revival of letters, there were few Europeans capable of translating and commenting on the works of the ancient geometers ; and geometry made consequently but little pro- gress till the time of Des Cartes, who published his Geometry in 1637. However, not to mention all those who extended geometry beyond its elementary parts, such as 'l‘heodosius, in his Spheries; Serenus, in his Sections of the Cone and Cylinder; Kepler, in his AbraStereometria, 810.; in 1635, Bonaventure Cavalerius, an Italian, of the order of Jesuits, published his GeometryofIndirisibles ; Torrieelli, his Opera Geometrica ; Viviani, his Divinationes Geometriue, Ifa‘errr tatio illathematiea, De Locis Solidis, De JIaa-imis rt filinimis, &c.; Vieta, Iffl'ectio Geometrica, &c.; Gregory St. Vincent, in 1647, published his treatise, intitlcd Quadra- tura Circuli et IIgperbolw, a work abounding with L‘Xt't‘llt‘llt theorems and paralogisms ; and Pascal, about the same time, published his Treatise of the Cgcloid. Geometry, as far as it. was capable of deriving aid and improvement from the arithmetic of infinites, was indebted to the labours of Fermi”, Barrow, “’allis, Mercator, Brounker, J. Gregory, Huygens, and others; to whom we may add Newton and Leibnuz. But Sir Isaac Newton contributed to the progress ot pure geometry by his two treatises, De Quadratura (liu-rurum, and Enumeratio Linearum Tertii Ordinis: and still further by his incomparable and immortal work, intitled, I’hilosoplua Alatitralis Principia JIathematica, which will always be considered as the most extensive and successful application of geometry to physics. 441‘ GEO The modern geometers are innumerable; and the names of Cotes, Maclaurin, R. Simpson, T. Stewart, T. Simpson, 8w. not to mention living writers, will always be held in esteem and veneration by those who are devoted to the study of geometry and mathematics. The province of geometry is almost infinite: few of our ideas but what may be represented to the imagination by lines, upon which they become of geometrical consideration : it being geometry alone that makes comparisons, and finds the relations of lines. Architecture, mechanics, astronomy, music, and in a word, all the sciences which consider things susceptible of more and less, 2'. 9. all the precise and accurate sciences, may be referred to geometry; for all speculative truths consisting only in the relations of things, and in the relations between those relations, they may be all referred to lines. Conse- quences may be drawn from them; and these consequences, again, being rendered sensible by lines, become permanent objects, which may be constantly exposed to a rigorous attention and examination: thus affording to us infinite opportunities both of inquiring into their certainty, and pursuing them farther. Geometrical lines and figures are not only proper to represent to the imagination the relations between magni- tudes, or between things susceptible of more and less; as spaces times, weights, motions, &c., but they may even represent things which the mind can no otherwise conceive, for example, the relations of incommensurable magnitudes. It must be observed, that this use of geometry among the ancients was not strictly scientifical, as among us; but rather symbolical: they did not argue, or deduce things and pro- perties unknown, from lines, but represented or delineated by them things that were known. In effect, they were not used as means or instruments of discovering, but as images or characters, to preserve, or communicate, the discoveries already made. ‘ V The ancient geometry was confined to very narrow bounds, ‘ compared with the modern. It only extended to right lines and curves of the first order, or conic sections ; whereas in modern geometry new lines, of infinitely more and higher orders, are introduced. Geometry is commonly divided into four parts, or branches; ALTIMETRY, STEREOMETRY, PLANIMETRY, and LONGIMETRY. See those words. It is again distinguished into theoretical or speculative, and practical. The first contemplates the properties of continuity; and demonstrates the truth of general propositions, called theorems. The second applies those speculations and theorems to particular uses in the solution of problems. Speculative geometry, again, may be distinguished into elementary and sublime. The former is that employed in the consideration of right lines and plane surfaces, and solids generated from them. The higher or sublime geometry is that employed in the consideration of curve lines, conic sections, and bodies formed of them. The science of geometry is founded on certain axioms, or self-evident truths; it is introduced by definitions of the various objects which it contemplates, and the properties of which it investigates and demonstrates, such as points, lines, angles, figures, surfaces, and solids z—lines again are con- sidered as straight or curved; and in their relation to one another, either as inclined or parallel, or as perpendicular :— angles, as right, oblique, acute, obtuse, external, vertical, &c.: , —figures, with regard to their various boundaries,as triangles, ' which are in respect of their sides equilateral, isosceles, and ,- scalene, and in reference to their angles, right-angled, obtuse- : angled, and acute-angled ; as quadrilaterals, which comprehend 5 U the parallelogram, including the rectangle and square, the rhombus and rhomboid, and the trapezium and trapezoid; as multilaterals or polygons, comprehending the pentagon, hexagon, heptagon, 8L0. ; and as circles ;——also as solids, including a prism, parallelopipedon, cube, pyramid, cylinder, cone, sphere, and the frustum of either of the latter. For practical geometry, the fullest and most complete treatises are those of Mallet, written in French, but without the demonstrations ; and of Schwenter and Cantzlerus, both in high Dutch. In this class are likewise to be ranked Clavius’s, Tacquet’s, and Ozanam’s Practical Geometries; De la Hire’s Ecole des Arpenteurs; Reinholdus’s Geodesia ; Hartman Beyers’s Stereometria ; Voigtel’s Geometria Sub- terranea; all in high Dutch: Hulsius, Galileus, Goldmannus, Schefi’elt, and Ozanam, on the Sector, 8:0. the An excellent treatise on practical geometry, particularly with reference to the study of architecture and perspective, was published some years ago by Mr. Peter Nicholson, and still holds its ground in public estimation, notwithstanding the numerous works on the subject which have appeared from time to time. The following short essay on Practical Geometry, containing the formation of plain figures arising from straight lines and Circles, will also be found exceedingly useful in the study of architectural construction. Curves of variable curvature, as those arising from the sections of a cone by a plane, will be found under their respective heads; as, CCNIC SECTIONS, ELLIPSIS, 8w. GEOMETRY, Analytical, or Descriptive, the method of finding the situation of a point in a plane. See DESCRIPTIVE GEOMETRY. GEOMETRY, Practical, the method of reducing or applying the rules of the science to practice, examples of which will be found in the following problems. PROBLEM I.—In a right line, A B, from any given point, C, to erect a perpendicular. Figure l.—-\Vhen the given point is near the middle of the line. On each side of the point C, on the line AB, take any two equal distances, as C d, C e ; from d and e, with any radius greater than C d, or C e, describe arcs of equal radii, cutting each other in F ; through the points F and C, draw the right line F C, and it will be the perpendicular required. Figure 2.—VVhen the given point is at or near the end of the line. Take any other point, as d, in AB; from d, with the distance d 0, describe an are, 0 cf; take the portion C e, of the are, at pleasure, and make the portion ef equal to C e ; draw the chord Cgf; from C, with the radius C 8, describe I the arc g e H; make e H equal to e g; and through the 1 points 0 and H draw the right line C H, which is the perpen- dicular required. Figure 3.—Another method. Take any other point, at, as before: from C, with the distance C cl, describe an arc, def; from d, with the same radius, describe an are at e; from e, with the same radius, describe an are at G ; draw deer, and through the points G and C draw G C, which is the perpen- dicular required. PROBLEM IL—From a given point, e, to drop a perpen- dicular upon a given right line, A 13. Figure 4.-——In A B, take any two points,fand g; and from either point, f, with the radius fC, describe an are, C E; from g, with the distance g C, describe arcs at C and E, of equal radii; and draw the right line C E, which is the per- pendicular required. Figure 5.-——An0ther method. From the point 0, describe an arc, fg, cutting A B atf and g ,- from the pointsfand g, with any equal radii greater than the half offg. describe two arcs, cutting each other in D ; draw CD, and CD is perpen- dicular to A B, and drawn from the point C, as required. GEO 442 GEO PROBLEM III.— To draw a right line paralleltto a given right line, A B, at a given distance, C D. Figure 6.—Take any points, as e and], in the right line AB; then, with the distance CD, from the points e andf, describe arcs, G and H, of equal radii; draw the right line G H to touch the arcs at G and H ; and G H will be parallel to A B, at the distance C D, as required. PROBLEM IV.-— Through a given point, C, to draw a right line parallel to a given right line, A B. Figure 7.——In A B, take any two points, as d and e, and draw C d; make the angle BeF equal to the angle BdC; make e F equal to dC ; and draw the right line C F, which passes through the point C, and is parallel to A B, as required. Figure 8.-—Another method. Take any point, as e, in A B, and from e, with the distance 6 0, describe an arc, Cd, cut- ting AB in d; from C, with the same distance, Cc, describe an arc, e F ; make e F equal to do ; draw the right line C F, and it will pass through C, parallel to A B, as required. PROBLEM V.—-— To bisect a right line, A B, by a perpen- dicular. Figure 9.——Take any distance greater than the half of A B; from the points A and B, describe arcs of equal radii, cutting each other at C and D; draw 0 D, and it will be perpendicular to A B, and bisect A B at the point E, as required. PROBLEM VL—At a given point, E, in a right line, E F, to make an angle equal to a given angle, A B C. Figures 10 and 11.——From B, with any radius, describe an arc, as gh, cutting B C at g, and B A at h ; from E, with the same radius, describe another arc, ih, meeting E F at i,- make ih equal to gh; draw the right line Eh D; and the angle D E F is equal to the angle A B C, as required. PROBLEM VIL—To bisect a given angle, A B C. Figure 12.——From AB, cut off any part, as B d; take the part B e from B 0, equal to B d; from the points d and c, with any distance greater than the half of de, describe arcs of equal radii, cutting each other at F; draw FB, and it will bisect the angle A B C, as required. PROBLEM VIII.— To bisect a given arc, A B C, of a circle. Figure l3.—Draw the chord A C ; bisect AC by a perpen- dicular, BD; and the point B will divide the are A BC into two equal arcs, A B, B C. PROBLEM IX.—A circle, A B C A, and a tangent, D E, to the circumference, being given, to find the point of contact. Figure l4.—Let the centre, F, be given ; draw F A perpen- dicular to D E ; and the point, A, where it cuts the tangent, is the point required. Figure 15.—If the centre be not given, draw the chord F G, parallel to the tangent D E; bisect F G by a perpendicular, H A, meeting the tangent at A ; then A is the point of con— tact required. PROBLEM X.—An are, A B C, and a point B, in the circum- ference, being given; to draw a tangent through the point, B. Figure 16.—From the point B, cut off two equal arcs, B D and BE; draw the chord D E; through B, draw F G, parallel to D E; and F G is the tangent sought. PROBLEM XL—Given a circle, A BC, and a straight line, D E, equal to, or less than the diameter; from a given point, A, in the circle, to inscribe a chord equal to D E. Figure l7.—From the point A. with a radius equal to DE, describe an arc, cutting the circumference at B; draw AB, which is the chord required. PROBLEM XII.——In a given circle, A B C D, to inscribe an equilateral triangle .- or to divide the circle into three equal parts. Figure 18.—-With the radius of the circle cut off the arcs A D, D B; join A B; from A, with the radius A B, describe an arc, cutting the circumference at C; join A C, C B; and A B C is the equilateral triangle required. PROBLEM XIII.——In a given circle, A B C DA, to inscribe a square; or to divide the circumference into four equal parts. Figure 19.—-Through the centre, E, and any point, A, in the circumference, draw the diameter A C; and the diameter B E D, perpendicular to A E C ; draw the chords A B, B C, C D,DA; and A B C D A will be the square required. PROBLEM XIV.—In a given circle, A B c D E A, to inscribe a pentagon; or to divide the circumference into five equal parts. Figure 20.—Draw the diameters Aif and gih at right. angles to each other ; bisect the radius gi at h ; from h, with l the distance h A, describe an are A 5, cutting gh at l,- and from A, with the distance Al, describe an are cutting the circle at B ; draw the chord A B ; make the successive chords, A B, BC, CD, DE, each equal toAB; join EA, and ABCDEA will be the pentagon required. PROBLEM XV.-—-—In a given circle, A B C D E F A, to inscribe a hexagon ; or to divide the circle into six equal parts. Figure 2l.—From any point, as A, draw the successive chords A B, B C, C D, D E, E F, each equal to the radius, and join the last, FA; then AB CD RF A will be the hexagon required ; or the circle will be divided into six equal parts. COROLLARY.—Hence, by the first of the three last pro- blems, the circle may be divided into eight equal parts ; by the second, it may be divided into ten equal parts ; and by the third, it may be divided into twelve equal parts, only by bisecting the arcs: and if each are be again bisected, each circle will be divided into four times the number of equal parts, as at first. The above are the only truly geometrical methods of dividing circles into equal parts, no general method having been discovered. PROBLEM XVI.— Upona given straight line, A B, to describe an equilateral triangle. Figure 22.—From the points A and B, with the distance A B, describe arcs, cutting each other in C; draw C A and C B; and A B C is the equilateral triangle required. PROBLEM XVII.— Upon a given straight line, AB, required to describe a square, or tetragon. Figure 23.—~Bisect A B by a perpendicular, e i,- make ei equal to the half of A B ; from i, with the distance iA or in, describe a circle ; draw the chords B C, C D, equal to A B ; join D A ; and A B C D is the square or tetragon required. PROBLEM XVIII.— Upon a given straight line, A B, to describe a regular pentagon. Figure 24.—Draw Bf perpendicular and equal to the half of A B; produce Af to g, making fg equal to fB ; from the points A and B, with the radius Bg, describe arcs, cutting each other at i; from i, with the radius iA, or i B, describe a circle; inscribe the successive chords BC, c D, D E, each equal to A B; join E A ; and A B C D E A is the pentagon required. l PROBLEM XIX.— Upon a given straight line, A B, to describe a regular hexagon. j Figure 25.-——From the points A and B, with the distance ; A B, describe arcs, cutting each other at i,- t'rom i, with the ; distance C A, or C B, describe a circle, A B C D E F A; make the ‘ successive chords B C, C D, DE, E F, each equal to A B, and join F A ; and A B C D E F is the hexagon required. . PROBLEM XX.— Upon a given straight line, A B, to (ll'Sl‘rth an octagon, a decagon, or a dodecagon. . Figures 26, 27, and 28.—Find the centre, i, of a t‘ll‘l‘lt', by such of the three last Problems as will contain a polygon of half the number of sides required ; draw ih upwards, perpendicular to A B, equal to iA or iB ; and the point I: Will M, M 43' IF; {(3) Ni TR ’1” 13 VY; [’A'AH'TIF‘IL. (J u . I /'h/,.:. , . r‘ 2 \ 4 )\.\ .\ \ ~ ‘\ \ \ r, ‘ .I’LI'I'IL' /. C d A \ Hp. (A /v;~;/F 7. FA]. 3‘ u ( 1s (~ ~ ~ \ / ' \\ 1“ (a \ \. \ \ A\¥ " . A f t A B r J A B I, ('7 A 1) -— —~n n3]. 1a. 1‘7!”- 11- _ 1231.16. C D . . £157.19. 53,, M. c, B E A 1) / \ x F (3'""“"‘” 1? "'“fi’ F t‘ A 17121.19. F's/- 3’“- A l“ n (F ’ A I‘ A\ D ‘ ‘5 (‘ II] E [Fm-2.4. 7-2;», 31. C D 1‘ 4 AK 15 (‘ A\ 'l ":‘E “02;" v}! F I‘RJNV L5." 32‘” [ail-I. (3‘9. 17 C ‘ 1-: 37' ‘74 {1H, ‘1‘» L LNG (‘Jr-HIANY LLML'L‘ED , l GEO 443 GEO be the centre of a circle that will contain the polygon required. EXAMPLE I. Figure 26.-—-For an octagon, find the centre, i, as in Problem XIII. EXAMPLE II. Figure 27.—For a decagon, find the centre, i, as in Problem XIV. EXAMPLE III. Figure 28.—For a dodecagon, find the centre, i, as in Problem XV. Complete the remaining parts as above directed ; and thus a circle may be found to contain any duplical multiple of these sides. PROBLEM XXI.—— Through three given points, A. B, C, to describe the circumference of a circle, provided the three points be not in the same straight line. Figure 29.—Join A B and B C, and bisect them by perpen- diculars meeting each other at D ; from D, with the distance AD, of either point, describe a circle, and its circumference will pass through the other two points B and C. PROBLEM XXII.—To describe a circle of a given radius through two given points ; A and B, provided the radius be greater than half the distance between the two given points. Figure 30.——From A, with the given radius, describe an are from B ; with the same radius, describe another are, cut- ting the former at C; from C, with the distance C A, or C B, describe the circle A B D ; and it will be the circle required. PROBLEM XXIII.— T 0 describe a circle to pass through two given points, A and B, and touch a straight line, C D; provided the two points and the straight line be not in the same straight line. Figure 3l.—Produce A B and D C, to meet in E ; bisect the angle A E D by the straight line E F ; bisect A G by the per- pendicular GF; from the point of concourse, F, with the radius F G, describe a circle, G H I K, which is the circle required.‘ PROBLEM XXIV.— To describe a circle to pass through a given point, A, and touch two straight lines, B C and D E, provided that the point be situated between the two lines. Figure 32.——Let the two lines, B C and D E, if not parallel, meet in F ; join A F ; bisect the angle B F D, by the straight line F K ; in F K, take any point, as G, and draw G H, perpen- dicular to BC; from G, with the distance GH, describe an arc, H 1, cutting A F at I ; join I G, and draw A K parallel to I G, and KL parallel to G H; cutting B F at L ; from K, with the radius KL, describe a circle LAM, which will be the .. circle required. PROBLEM XXV.-——To describe a circle that shall touch . three straight lines, A B, C D, E F, provided all the three lines ‘ be not parallel. Figure 33.—Produce the lines, so that one of them, as C D, may meet the other two, A B and E F ; and let the meet- ing ofA B with C D, be at G, and of C D with E F at II ; bisect the angles B G H and G H F by the straight lines G I and H I ; from I, drop a perpendicular, 10, to any one of the three lines, CD; from 1, with the distance 10, describe a circle, and it will touch the three straight lines AB, CD, E F, as required. PROBLEM XXVI.-— To describe a circle that mag touch a . straight line, A B, at a given point, c, and pass through an- i \ I I other given point, D. Figure 34,—Draw Cf perpendicular to A B; join C D, , which bisect by a perpendicular, Ef; from f; with the distancef C, describe a circle, which Will be the circle required. PROBLEM XXVII.— To describe a circle that shall touch a straight line, A B, at a given point, E, and another straight ’ line, BD, provided that the two straight lines be not in the same straight line. Figure 35.—Make Bf equal to BE; draw EG perpen- dicular to A B, and fG perpendicular to BD; from G, with the radius E G, or fG, describe the are, H Ef I, and it will touch A B at E and B D, as required. PROBLEM XXVIII.— To describe an are that shall touch a given circumference, A B C, and a straight line, DE, in a. given point, F. METHOD I.—Figure 36. Draw F I perpendicular to D E ; from F1, produced if necessary, cut off FG, equal to the radius of the circle A B C ; join K G, which bisect by a per- pendicular cutting F I at I ; from I, with the radius I F, describe an are, or circumference, AFH, which is the are required. METHOD II.—-Figure 37. Draw F I perpendicular to D E, and A G parallel to F I ; draw A F B and B I G; from I, with the distance I F, or I B, describe an arc, F B H, which is the are required. PLOBLEM XXIX.—- With a given radius, G H, to describe an are or circumference that may touch a given are or cir- cumference, C A B, and pass through a given point D. Figure 38.—-—From G H cut of G 1, equal to the radius of the given circle ; from F, with the distance I H, describe an arc; from D, with the distance GH, describe another arc," cutting the former atE ; from E, with the distance E A or E D, describe an arc, G A D, and the problem is solved. PROBLEM XXX.—In a given sector, A B C D, to inscribe a circle. Figure 39.—-Bisect the angle BAD by A GC; draw E C F tangent to the circle ; produce A B to E, and A D to F ; bisect the angle E AF by A G, and the angles AE F by E G; from G, with the radius GC, describe a circumference, 0 HI, which is the solution required. PROBLEM XXXI.—In a given circle to inscribe any num- ber of equal parts. ~ Divide the given circumference into as many equal parts as the number of inscribed circles : from the points of divi- sion, draw radii, and the circle will be divided into equal sectors ; in any one of these sectors inscribe a circle by the last Problem ; bisect the angle contained by each two radii ; from the centre of the given circle, with the distance of the centre of the circle inscribed in the sector, describe a circum- ference, cutting the lines which bisect the sectorial angles ; and the points so out are the centres. EXAMPLES. Figure 40.-—-The given circle contains six equal inscribed circles. Figure ALL—The given circle contains eight equal inscribed circles. Figure 42.—-—The given circle contains twelve equal in- scribed circles. PROBLEM XXXII.—Ang three straight lines, A, B, C, being given, to find a fourth proportional. Figure 43.——Make any angle, as DE F; on the straight line E D, make E G equal to A, and E D equal to B ; on the straight line E F, make E H equal to C; join GH; draw D F parallel to G H; and E F is the fourth proportional sought ; or EG:ED::EH:EF; thatis,A:B ::C:EF. NB. When the lines B and C happen to be equal, the result or fourth term is called a third proportional,- therefore, suppose B equal to C, then A : B : : B : E F. So that finding a third proportional is the same as finding a fourth, and may be considered as only a particular case of it ; and in this con- ‘ struction E D and E H would be equal. PROBLEM XXXIII.—— T o divide a straight line, A G, in the same proportion as another line, A D, is divided by the points B and C, &c. GEO 444 Figure 44.—Join D G ; draw B E and C F parallel to D G, cutting A G at E and F; then will A G be divided by E and F, as A D is by B and c ; or AE, E F, F G are to one another and to the whole AG, as A B, B C, C D are to one another and to the whole A D. In the same manner may any given line be divided into equal parts. PROBLEM XXXIV.—-—Between two straight lines, A and B, to find a mean proportional. Figure 45.—Draw the straight line C D E ; make C D equal to A, and D E equal to B ; bisect C E in f; from f, with the distancefC orf E, describe the semi-circle C G E; draw D G perpendicular to C E ; and D G is the mean proportional required. Then CD : DG : : DG : DF; that is, A : DG :: D G : B. PROBLEM XXXV.—— To divide a straight line, A B c D, har- monicallg in the given ratio of I to K. Figure 46.—Draw any straight line, as e A gf; make A e and Af each equal to I, and Ag equal to K; joinfh D; draw g h parallel to AD, and h 0 parallel to ef; join h Be; then AD:DC::AB:BC. PROBLEM XXXVI .—-—Ang three straight lines, A, B, C, being given, to describe a triangle, provided the sum of any two be greater than the third. Figure 47.—Draw the straight line D E equal to A ; from D, with the distance B, describe an arc ; and from E, with the distance C, describe another arc, cutting the former at F; draw D F and E F ; and D E F is the triangle required. PROBLEM XXXVII.—Given the base, A B, of a triangle, the angle, B A C, and the ratio, E to F, of the other two sides, to describe the triangle, provided that E be to F in a greater ratio than the radius to the sine qf the given angle B A C. Figure 48,—Make Ah equal to E; from h, with the dis- tance F, describe an arc, cutting A B at i; draw ill, and B C parallel to ih ; and A BC will be the triangle required. PROBLEM XXXVIII.— To make a rectilinearfigure equal and similar to a given rectilinearfigure. RULE.—Divide the given rectilinear figure into triangles, by lines drawn from some one of its angles; take any one of its sides, and make a straight line in any situation equal thereto; upon the straight line thus posited, constitute a tri- angle, equal to the triangle on the corresponding line of the given figure; upon the side of the triangle which is to form a diagonal of the figure required, constitute another triangle, equal to the corresponding one of the given figure ; proceed to form triangles on each succeeding diagonal in the same manner, till all the triangles are constructed; and the figure thus composed will be equal and similar to the given figure. PROBLEM XXXIX.—To make a quadrilateral equal and similar to a given one, A B C D. Figure 49.————Divide the given quadrilateral into two tri- angles, by the diagonal AC; make EF, equal to AB; and describe the triangle E F G, having its sides respectively equal to the triangle A B C; upon E G, as a base, describe another triangle, E G H, equal to A C D; and the quadrilateral E F G H is equal and similar to the given one, A BC D, as required. PROBLEM XL.— To make a rectilinearfigure similar to a given one, M N O P Q, (So, upon a given straight line, A B; the ea‘tremitg, A, being given, but unlimited towards B. Figures 50 and 51.——Froni the extremities, M, of the side of the given figure, corresponding to the given point, A, draw diagonals to every angular point ; cut off a part, A 71, equal to the corresponding side, M N, of the given figure; upon An construct a figure, An op q, &c., equal and similar to the given figure, MN 0P Q, &c., by the preceding problem; from A B cut of? A D equal to the side of the rectilinear figure to be described; draw D E parallel to no, cutting the diagonal A E at E ; draw E F parallel to op, cutting the diagonal A F at F; proceed in this manner to draw each successive side parallel to the corresponding side of the figure constructed; from the extremity of the last diagonal, cut the next dia- gonal, and from the last diagonal, in the same manner, to the other side, adjoining the given point A; and the figure ADEFG., thus constructed, will be similar to the figure M N o P Q, &c. as required. PROBLEM XLI.—Given two adjoining sides, AB, BC, 0] a parallelogram in position and magnitude, to describe the parallelogram. Figure 52.—From C, with the opposite side A B, describe an arc ; from A, with the opposite side B C, describe anothei are, cutting the former at D; join A D and DC, and ABCD is the parallelogram required. N.B. If the angle CBA be given in quantity, but not in position, make it equal to the given angle by Problem VI. PROBLEM XLII.— Given two sides, A and B, of a rectangle, to describe the rectangle. Figure 53.—Draw a straight line, CD, equal to A ; draw CF perpendicular to CD; and make CF equal to B; then proceed as in the last Problem, and the parallelogram C DE F will be the rectangle required. . PROBLEM XLIII. Given the diagonal, A B, of a rectangle, and one of the sides, not exceeding the diagonal, to describe ' the rectangle. Figure 54.—On the diagonal A B, describe the circum- ference A C BD A; make the chords A C and BD equal to the given side ; join A D and BC; and A D B C A is the rectangle required. Figure 55.—If the rectangle be a. square, bisect the diameter A B by another, C D; and draw the four equal chords, which will form the square required. PROBLEM XLIV.——— To make a triangle equal and similar to a given trapezium, A B C D. Figure 56.—Draw the diagonal BD, and draw C E parallel to B D, meeting the side A B produced at E ; join D E, and A D E will be the triangle required. PROBLEM XLV.—— To make a triangle equal to any given fight-linedfigure, A B C D E. Figure 57.—Produce A B on both sides of its extremities towards F and G; draw the diagonals A D and B D; through E draw E F, parallel to A D; and through C draw C G parallel to B D; join D F and D G, then D F G is the triangle required. PROBLEM XLVI.— To reduce a triangle, A B C, to a rectangle. Figure 58.—Bisect the altitude C G in D; through D draw E F parallel to A B, and from B draw B F perpendicular to A B; draw A E and B F perpendicular to A B; then A B F E will be the triangle required. PROBLEM XLVII.— To make a rectangle, having a side equal to a given straight line, A B, equal to a given rectangle, C D E F. Figure 59.——-Produce the sides C F, D E, F E, and c D of the rectangle; make E G equal to A B; through G draw I. H parallel to F E, cutting C F produced at L; draw LE, the diagonal, which produce to cut C D at K; draw K 11 parallel to E G, and E I n G will be the rectangle required. PROBLEM XLVIII.—To make a parallelogram with a given angle equal to a given parallelogram, A B C D. Figure (SQ—Blake the angle B A E equal to the given angle. and let AE cut C D, produced it necessary at E; draw 15 F parallel to A E, cutting D C at F; then will the parallelogram A B F E be equal to the given parallelogram, A B C D. PROBLEM XLIX.— To make a square equal to a given rectangle, A B C D. Figure 61.—Produce A B, the side of the rectangle, and make B E equal to B C; bisect A E i111; on I, as a centre. “'"h i l .. GEO 445 GEO the radius~ I E or I A, describe a semicircle, AH E; produce the other side, 0 B, of the rectangle, to cut the circle in H ; describe a square, B H G F, upon B H ; then B H G F is the square required. PROBLEM L.— To make a square equal to two given squares. Figure 62.—Let A and B be the two given squares. Con- struct the right-angled triangle c a I); let one of the sides, 0 a, containing the right angle, be equal to the side of the square, A; and let the other, a b, be equal to the side of the square B. On cb, describe the square C, which is the square required. In the same manner may a circle be made equal to two given circles ; for, if c a, a h, be considered as diameters, or radii of the two given circles, c b will be a diameter or radii of a circle, equal in area to them both: and also in the same manner, iftwo similar rectilinear figures be given, a rectilinear figure maybe found similar to either, and equal to both ; for, if c a and a b be considered as homologous sides, that is, those which are Opposite to the equal angles, cb will be the homologous side of the figure required. PROBLEM LI.— To make a square equal to three given squares. Figure 63.—-Let A, B, C, be three given squares. Make a right angle, cab,- let ac be equal to the side of the square A, and a 6 equal to the side of the square B; join 6 c, and it will be the side of a square equal to A and B. Draw 6 d perpendicular to be, and make [2d equal to the side of the remaining square C; join d e, and it will be the side of a square equal to the three given squares, A, B, C, as was required. From thisprocess, it is evident that a square may be found equal to any given number of squares, by first finding one equal to any two of them, and then another equal to the square found, together with one of the remaining squares; then find another equal to the square last found, together with one of the other remaining squares; and so on, till all the squares are made use of, and the last square found will be equal to all the given squares. SCHOLIUM.——It frequently happens in the description of the segment Of a circle, when the height of the segment is very small in proportion to the chord, that there is no room to find the centre; the following problems show how to describe the are without finding the centre: PROBLEM LIL—Having the chord and height of the segment of a circle, to describe the segment without finding the centre. Figure 64,—First Method—Let A B be the chord of the segment, and C D its height; join DA and DB; make an instrument, E FG, so that the angle EFG may be equal to the angle AD B, and the sides FE and FG at least equal to the chord A B ; put a pin at A, and another at B; slide the instrument along the pins, keeping the side F E close to the pin A, and FG to the pin B; a pencil being held at the angular point F will describe the are A F B, as was to be done. Figure 65.—Second Method—Join DB, and draw DH parallel to BA; make an instrument, E F G, so that the angle E r G may be equal to the angle H D B, and the sides E r and .EG at least equal to the half chord DB; put pins in the points A and D, and sliding the instrument along them, a ' pencil at F will describe half of the arc ; and by moving the . pin out of A, and putting it in B, the other half will be described in the same manner. The former of these Problems depends on Prop. XXI. . b. iii. Euclid, viz., that all the angles in the same segment of a circle are equal; and the latter, on Prop. XXXII. 5 x b. iii. Euclid, viz., that if a straight line touch a circle, and from the point of contact a straight line be drawn, cutting the circle, the angles made by such line with the line touch- ing the circle, will be equal to the angles in the alternate segments. ‘ Either of these instruments, in the description of flat seg- ments, may be applied occasionally; but the latter, by reason of the obtuseness of the angle, slides with less friction along the pins, takes up much less room, and can be applied in any cases where it is impossible to use the other. _ N.B.—If CD is very small, the instrument may be made in one plece. Besides the methods here shown for the description of the segment ofa circle from the rules of geometry, the following arithmetical rule will be found eligible on many occasions, particularly, where there is a want of a floor to draw the lines upon, or a want of space at the ends of the curve. RULE—Divide the square of the half chord by the versed sine, or height of the segment; add the height of the seg- ment to the quotient ; then half the sum is the radius of the circle. EXAMPLE—Suppose the chord of the segment of a circle to be 24 feet, and the versed sine or rise of the segment 5 feet ; the radius of the circle is required. 2)24 12 half chord. l2 5 ) 144 28.8 5 2 ) 33.8 _— 16.9 the radius required. This is derived from Prop. XXXV. b. iii. Euclid, where it is shown, that if two straight lines in a circle out each other, the rectangle under the segments or parts of the one, is equal to the rectangle of the segments of the other; and consequently, if the segments of one of the lines be equal to each other, the rectangle under the parts of the other line will be equal to the square of either part of the line, which is divided equally; but the contents of a rectangle, divided by one of its sides, gives the other side; or the area of the square, which is equal to the rectangle, being divided by the given side of the rectangle, gives the other side of the rectangle; and adding the versed sine, gives the diameter. The method of dividing the circumference of a circle into any number of equal parts, or to inscribe any polygon therein, according to the approximation of Renaldinus, will be found under the article CIRCLE, Figure 5. The various methods of describing the ellipsis upon a plane, will be found under the article ELLIPSIS ; but, besides What is there shown, the following problems, concerning this curve, will also be found necessary in the art of perspective delineation. PROBLEM LIII.—Given the trapezium, A B C D, and a point, E, in one of the sides, to find a point in each of the other sides, so that if an ellipsis were to be inscribed, it would touch the trapezium in those points. Figure 66,—Produce the sides of the trapezium till they meet at K and L ; then draw the diagonals A C and BD, cut- ting each other at F; produce B D, till it cut K L, at M. Through F, and the given point E, draw E G, cutting B G GIO 446 GIR at G; and from M, through the points E and G, draw MII and M G, cutting the other two sides in the points I and B, then E, H, G, I, will be the four points required. PROBLEM LIV.—A trapezium, A BC D, being given, and a point, E, in one of the sides, to find the centre of an ellipsis that may be inscribed in the trapezium, and pass through the point of contact, E, without drawing any part of the ellipsis. Figure 67.—Find the points of contact H, G, I, E, as in the last Problem. Join the points G and E, by the right line G E; bisect it in M, and from K, where the opposite sides A D and B 0 meet, and through the point M, draw KM indefinitely; also join any other two points of contact, as H I; bisect H I and N from L, where the opposite sides B A and C D meet; draw LN, meeting KM at P; then P will be the centre of the ellipsis required. In like manner, if the points G and H were joined, and bisected at Q, and a line being drawn from B, where the opposite sides AB and C B meet, through Q, it would also meet in P, the centre, 8w. PROBLEM LV.—-— Given a trapezium, A B c D, and a point. E, in one of the sides, to find the two axes of an ellipsis that may he inscribed in the trapezium, and pass through the point, E, without drawing any part of the ellipsis. Figure 68.——Find the opposite points of contact, H, E, F, G, by Problem LIII; from thence, find the centre, P, by the last Problem. From E, and through the centre P, draw E M, making P M equal to P E; and through H, or any other point of contact, draw H K, parallel to D C, cutting E M at K ; then K H is an ordinate to the diameter E M. Through P, the (entre, draw PR parallel to H K; then find the extremities, R and s, of the diameter R s, by Problem 3, of ELLIPSIS. The conjugate diameters, E M and R S, being now found, then find the two axes, v W and x Y, by Problem 4, of ELLIPSIS. GIBLEA CHEQUE, GIBLET CHECK, or JIBLET CHEEK, a recess made by cutting away the right angle formed by the front and returns of the aperture of a stone door—case, in the form of a rebate or reveal, so as to make the outside of the door, or closure, flush with the face of the wall. The term is used by stonemasons in Scotland. GIGANTIC ORDER, a name given by ScamOZZi to the Tuscan order. GILDING, the art of applying to various substances an extremely thin coating of gold. If the substances to be gilt be metallic, this is effected by simple adhesion of the surfaces, but if not, the gold is attached by means of some adhesive medium. The use of gilding in the ornaments and decora- tions of an apartment, adds greatly to the richness of its appearance, but unless applied judiciously, and sparingly, it is apt to have a tawdry effect, most offensive to good taste. GILL, a measure, the fourth part ofa pint. The imperial gill now in use contains 86648125 cubic inches. GIMLET, or GIMBLET, (from the French) a piece of steel of a semi—cylindrical form, hollow on one side, having a cross handle at one end, and a worm or screw below at the other : its use is to bore a small hole in a piece of wood. The screw draws the instrument forward into the wood while it is turned by the handle, and the excavated part, forming a sharp angle with the exterior, cuts the fibres across, and contains the core of wood cut out. GINJECONITES, (Greek) apartments in the surrounding porticos of the Greek houses, which contained the family rooms tricliniums and cubiculums. See HOUSE. GIOCONDO, an architect, who flourished in the sixteenth . century, was a native of Verona, where he first taught languages for a subsistence, and was also well qualified in mathematical learning. On visiting France, he was employed to build two bridges Over the Seine. He very soon after- wards obtained the title of architect royal to the French king, but did not live long after; the exact period of his death is uncertain. He published several works which did him much credit as a writer, and extended his fame as an artist. Amongst others, an edition of Pliny’s Epistles, and a correct edition of Vitruvius, illustrated with figures, the latter he dedicated to Pope Julius II. He assisted in editing many other works of the ancients, and was the first person who gave a design for Caesar’s bridge over the Rhine. In 1506, he wrote four dissertations, addressed to the magistracy of Venice, concerning the waters of that city. He was employed with Raphael and San Gallo, in superintending the erection of St. Peter’s. His last work was probably the rebuilding of the stone bridge at Verona. GIRANDOLE, (Italian) a chandelier; a large kind of branched candlestick. . GIRDER, (from the Saxon)a large beam, eitherofoneentire piece, or consisting of several, in order to shorten the joists of a floor, which would otherwise have too great a bearing. When girders are made double, they should be turned the contrary way to that in which they were sawn, that the stronger end may support the weaker. If it be found necessary to truss girders, the truss should be similar to that of a roof. The best form of girder for floors of moderate dimensions, consists of two braces and a straining piece, having one-third of the whole length, excepting the part at each end, which is necessary for the butment or wall-hold. The two braces are strained by means of queen-bolts, and resisted at the other end by iron butments, which are formed to the same section as the braces, and are made to go through on each side, so as to have a bolt at either end; the braces and straining piece being let into each beam. When girders have a very great bearing, and have only the depth of a single piece, it is well known that the strain at the joggles and abutments is prodigious : girders of long bearing should therefore be made into two flitches, one above the other, and braced as above. By this plan, the depth allowing of an upper and lower beam, the girder will be infinitely more stiff than one of the depth of a single piece, and consequently more able to sup- port the naked flooring and boarding. No summers or girders should be over the heads of doors or windows. No summer or girder should lie less than ten inches into the wall ; nor joists less than eight inches. The ceiling joists ought to be framed about halfan inch below the girder, and the girder ought to be furred to the level of the ceiling joists. Girders ought to be made of heart wood, as free from knots as possible, because they destroy the continuity of the fibres, and impair the strength of the girder. The following rules for finding the scantlings, are given by Tredgold in his Elementary Principles of Carpentry. “ Case l.-—To find the depth of a girder when the length of bearing and breadth of the girder are given. “Rule—Divide the square of the length in feet, by the breadth in inches ; and the cube root of the quotient multi- plied by 4.2 for fir, or by 4.34 for oak, will give the depth required in inches. “ Case 2.—T0 find the breadth when the length of hear- ing and depth are given. “ Rule—Divide the square of the length in feet, by the cube of the depth in inches ; and the quotient multiplied by 74 for fir, or by 82 for oak, will give the breadth in inchvs. Example to Case 2.-—-Let the hearing be 20 feet, and the depth 13 inches; to find the breadth, so that the girder shall be sufficiently stitf. G l?) U M! 3*} 'H‘ R Y. 1’le 719.111 PR1 (' 1'1 CAL. 124.49. Fit/- .5 (7 . ( 6?; :'!*_;l'. ANu :‘QIL, G-LA 447 GLA ‘I‘he cube of the depth is 2197, and the square of the length is 400; therefore 34795)? X 74 = 13.47 inches, the breadth required. “In these rules, the girders are Supposed to be 10 feet apart, and this distance should neVer be exceeded ; but should the distance apart be less or more than 10 feet, the breadth of the girder should be made in proportion to the distance apart. “When the bearing exceeds about 22 feet, it is very difficult to obtain timber large enough for girders ; and it is usual, in such cases, to truSS them. The methods in general adopted for that purpose, haVe the appearance of much ingenuity; but in reality, they are of very little use. If a girder be trussed with oak, all the strength that can possibly be gained by Such a truss, consists merely in the difference between the compressibility of oak and fir, which is very small indeed ; and unless the truss be extremely well fitted at the abutments, it would be much stronger without trussing. All the apparent stiffness produced by trussing a beam, is procured by forcing the abutments, or, in other words, by cambering the beam. This forcing, cripples and injures the natural elasticity .of the timber; and the com tinual spring from the motion of the floor, upon parts already crippled, it may easily be conceived, will soon so far destroy them as to render the truss a useless burden upon the beam. This is a fact that has been long known to many of our best carpenters, and which has Caused them to seek for a remedy in iron trusses; but this method is quite as bad as the former, unless there be an iron tie as an abutment to the truss ; for the failure of a truss is Occasioned by the enormous com- pression applied upon a small surface of timber at the abut- ments. The defects of ordinary trussed girders are very apparent in old Ones, as it is not simply strength that is required, but the power of resisting the unceasing concussions of a straining forCe, capable of producing a permanent derange- ment in a small surface at every impression.” Girders of Wrought and cast iron are now used extensively in railway and canal works, for bridges, 8w. GIRDING BEAM. See GIRDER. GIRDLE, (from the Saxon) a circular band or fillet sur- rounding a part of a column. GIRT, the same as FILLET, which see. GIRT, in timber measure, according to some, the fourth part of the circumference, and is generally taken for the side of a square, equal in area to the section of the tree cut through where the perimeter is taken in order to obtain the girt. GIVEN DATUM, a term frequently used in mathe- matics, signifying a thing supposed to be known, whether in position or magnitude; which is accordingly said to be given in position, or in magnitude, or both, as one or the other, or both, are known. GLACIS, (French) an eaSy slope or declivity. GLASS, (from the Saxon, glues) a hard, brittle, transparent factitious substance, formed by the fusion of silicious matter, Such as powder flint or fine sand, blended with alkaline earth, metallic oxide, and other substances. In building, glass is used in thin transparent plates for windows, which admit light, while they exclude Wind and rain. The time at which glass was invented, is very uncertain. “It was known,” says Dr. Ure, “to the Phenicians, and constituted for a long time an exclusive manufacture of that people, in consequence of its ingredients, (nan-on, sand, and fuel,) abounding upon their coasts. It is probable that the more ancient Egyptians were unacquainted with glass, for we find no mention of it in the writings of Moses. But, according to Pliny and Strabo, the glass-works of Sidon and Alexandria were famous in their times, and produced beautiful articles, which were cut, engraved, gilt, and stained of the most brilliant colours, in imitation of precious stones. The Romans employed glass for various purposes ; and have left specimens in HerCulaneum, of window-glass, which must have been blown by methods analogous to the modern. The Phenician processes Seem to have been learned by the Crusaders, and transferred to Venice in the 13th Century, where they Were long held secret, and formed a lucrative commercial monOpoly. Soon after the middle of the 17th century, Colbert enriched France with the blown mirrOr glass manufacture.” The application of glass to the glazing of windows, is of comparatively modern introduction, at least in northern and western Europe. In 674, artists were brought to England from abroad to glaze the church windOWS at Wearmouth in Durham ; and even in the year 1567, this mode of excluding cold from dwellings was confined to large establishments, and by no means universal even in them. An entry then made, in the minutes of a survey of Alnwick Castle, the residence of the Duke of Northumberland, informs us that the glass-easements were taken down during the absence of the family, to preserve them from accident. A Century after that time, the use of window-glass was so small in Scotland, that only the upper rooms in the royal palaces were furnished with it, the lower part having wooden shutters to admit or exclude the air. At an early period of its history in this country, the glass- manufacture became an object of taxation, and duties were from time to time imposed on it, which operated most inju- riously, not only on the manufacture itself, but on building generally, by preventing the more extensive use of so orna- mental an article. Within the last few years, however, a more enlightened policy has prevailed; and so great a- reduction of the duties on glass has been granted, that an enormous increase in the manufacture and use of it has taken place. The result is seen in the improved appearance of our dwelling—houses, in the great superiority of the quality of the glass used at present, and in the magnificent plate—glass windows now so generally adopted in shop-fronts. Of the glaSS used in building, there are three qualities in common use, denominated best, second, and third. The best is that which is of the purest metal, and free of blemishes as blisters, specks, streaks, &c. The second is inferior, from its not being so free of these blemishes. The third is still inferior, both in regard to quality and colour, being of a greener hue. They are all sold at the same price per crate, but the number of tables is different, according to the quality: best, 12 tables; second, 15 tables ; third, 18 tables. These tables are circular when manufactured, and about four feet in diameter ; in the centre is a knot, to which, in the course of the process, the flashing rod was fixed, but, for the safety of carriage and conveniency of handling, as well as utility in practice, a segment is cut off, about four inches from the knot: the large piece with the knot, still retains the name of table, the smaller piece is technically termed a slab. From these tables being of a given size, it is reason- able to suppose that when the dimensions of squares are such as cut the glass to waste, the price should be advanced. Crown glass is the best description of window-glass. It is made without any mixture of metallic oxide, and is both specifically lighter, and much harder, than flint glass. Broad glass is an inferior kind of window-glass, made with a cheaper kind of alkali. Plate-glass is superior in quality and in appearance to all other glass. From the quantity of metal it contains, it must be almost, if not altogether, colourless— that sort which is tinged, being of an inferior quality. It is ___A _ __ _,__ GLA 448 GLA both blown and cast. Plates which are blown are limited in dimensions, while those that are cast are made of very great size, the limit being caused by the expensiveness of the machinery required for the management of very large masses of the material. Plate—glass is necessarily costly, because of the numerous and laborious operations which it undergoes, and of the risks of fracture while subjected to them. In sashes it has a magnificence peculiar to itself; objects seen through it are not distorted ; and objects seen in it, have the same fair appearance. It is now made of very large dimensions. Glass has also been introduced as a material for the manu- facture of pipes. Mr. James Hartley, of Bishopwearmouth Glass Works, has, after extensive experiments, succeeded in establishing the practicability of making glass pipes, suitable for the conveyance of gas or water, and has, it is also said, proved that pipes, stronger than the ordinary metal ones, and much cheaper, may be made of glass. A still more novel application of this material is noticed in The Builder, viz., the importation from Antwerp of a small parcel of glass-tiles. These tiles are similar in form to the common clay-tile for roofing buildings, the advantage held out being their lightness, and being pervious to the rays of the sun. The latter quality is presumed to render them suitable for the roofs of green-houses, as they will not inter- rupt the heat and light, whilst they are sufficiently strong to resist the efi‘ects of hailstorms, which will much reduce the cost of insurance on green-houses. They have the appear- ance of the common green glass, they vary in price from eleven to sixteen shillings per dozen, according to their thickness and weight. See STAINED GLASS. GLAZING, the business of the glazier, consisting in fitting glass in sashes, frames, and easements, and fixing it either in putty or lead. It may be classed under the denominations following :— Sash-work, lead-work, and fret-work. The tools necessary for sash-work are, a diamond, a ranging-lath, a short-lath, a square, a rule, a glazing-knife, a cutting chisel, a beading hammer, duster, and sash-tool; and in addition, for stopping-in squares, a hacking-knife and hammer. The diamond is a speck of that precious stone, polished to a cutting point, and set in brass in an iron socket, to receive a wooden handle, which is so set as to be held in the hand in the cutting direction; the top of the handle goes between the root of the fore-finger and middle—finger, and the under part, between the point of the fore-finger and thumb; there is, in general, a notch in the side of the socket, which should be held next the lath. See DIAMOND. Some diamonds have more cuts than one. Plough diamonds have a square nut on the end of the socket next the glass, which on running the nut square on the side of the lath, keeps it in the cutting direction. Glass benders have these plough diamonds without long handles, as, in cutting their curious productions, they cannot apply a lath, but direct them by the point of their middle finger gliding along the edge of the glass. The ranging lath must be long enough to extend rather beyond the boundary of the table of glass. Ranging of glass, is the cutting it in breadths, as the work may require, and is best done by one uninter- rupted cut from one end to the other. A short lath is applied to stripping the square to suit the rebate of a sash; as in ranging, they are generally cut full. A square is used in cutting the squares from the range, that they may be more certainly cut at right angles. The carpenter’s chisel is used in paring away some of the rebate of the sash, when the glass does not lie so flat as to allow a proper breadth for front putty. The glazing knife is used for laying-in the putty in the rebates, for bedding-in the glass, and for finishing the front putty. A bradding-hammer is made with a head in the form of a small parallelopiped, with a socket for the handle, rising at an obtuse angle from the middle of one of its sides; the square edges of the head drive the brads in a horizontal position, and is less liable to accident than if per- formed by another tool: some use the basil of the chisel. Brass points .are esteemed the best; small cut brads are ' also used. All new work should be bradded, to prevent the glass being moved out of" its bed. The duster is used in brushing up the front pulleys, and taking off the oil from the glass. The sash-tool is used in taking oil" the oil from the inside, after the back pulleys are cleaned off, and is generally used wet. The hacking-knife is for cleaning out the old putty from rebates, where squares are to be stopped in. The use of the rule needs no explanation. ‘ N.B.—Glaziers’ rules are two feet long, in four different pieces. general practice throughout the country. Lead-work is used in inferior offices, and is in ‘ Frames are made to receive these lights, with bars across, ' to which the lights are fastened by leaden bars: these bars are called saddle bars, and where openings are wanted, a casement is introduced, either of wood or iron. Sometimes a sliding frame answers the same purpose. Church windows . are in general made in this manner, in quarries or in squares. ‘ The tools which this work, in addition to the former, require, are these: a vice, with different cheeks; and cutters, to turn out the different kinds of lead, as the magnitude of the win- dow or the squares may require. In common there is broad and narrow lead. The German vices are esteemed the best, and turn out a variety of lead in different sizes. There are moulds belonging to these vices, in which bars “ of lead are cast; in which form the mill receives them, and turns them out with two sides parallel to each other, and about three-eighths of an inch broad, with a partition connecting the two sides together, about an eighth of an inch wide, forming, on each side, a groove nearly T36 by 4% of an inch, and about six feet long. The remainder of the tools, besides a vice and moulds, are, a setting-board, a latterkin, setting-knife, rosin-box, tin, ; glazing-irons, and clips. The setting-board is that on which the ridge of the light 3 is marked and divided into squares, and struck out with a f chalk line, or drawn with a lath, which serve to guide the 1’ workman. head or fillet. The latterkin is a piece of hard wood, pointed, and so formed as to clear the groove of the lead, and widen it for the more readily receiving the glass. The setting-knife is a blade with a round point, loaded with lead at the bottom ofthe blade, with a long square handle. The square end of the handle serves to force the squares home tight in the lead; being loaded with lead, it is of greater weight, and also cuts off the ends of' the lead with greater i ease, as, in the course of working these lights, the lead is always longer than necessary, till trimmed. The rosin-box contains powdered rosin, which is put on all the joints previous to soldering. Tin is for preparing the glazing before soldering. The clips are for holding the irons. All the intersections are soldered on both sides, except the outside joints of the outer side, 2'. e. where they come to the outer edge. These lights should be cemented, which is done by thin paint being run along the lead bars, and the chasm filled with dry whiting, and after it has stood a short time, till the oil is secreted a little, a small quantity of dry red or One side and end are squared, with a projecting ' GLU 449 GOB white lead is dusted over it again; it then dries hard, and will resist the weather well. Fret—work is the ornamental part, and consists of working ground and stained glass, in fine lead, into different patterns. In many caSes, family arms and other devices are worked in it. It is a branch capable of great improvement, but at present neglected. Old pieces are very much esteemed, and valued high. The same expense would, doubtless, were it not for prejudice, fur- nish elegant modern productions. They are placed in halls, and stair-case windows, or in some particular church win- dows ; in many instances, they are introduced where there is an offensive aspect in a place of particular or general resort. Glaziers clean windows ; and in London it is a great part of their work. , GLOBE, (French) a spherical body, more usually called a Sphere. See SPHERE. GLUE, (from the French) a tenacious viscid matter, made of the skins of animals, for cementing two bodies together. Glue is bought in cakes ; and is better, as the skin of the animal from which it is made is older: that which swells much when steeped in water, without dissolving in it, is of the best quality. To prepare glue ; break the cakes into small fragments of convenient size: soak them in as much water as will just cover them; after it has remained about twelve hours, boil the whole in a copper or leaden vessel, over a gentle fire, till the glue is dissolved in the water, stirring it constantly with a wooden stick : it should then be poured through a sieve, to separate it from the scum and other filth : and lastly, it should be boiled over a smart fire, and put into a wooden vessel, in which it is to remain for use To make good glue for external work: grind as much white lead with linseed oil as will just make the liquid of a whitish colour, and strong, but not thick; and it will then be fit for use. The following is given by Mr. Clennel as a good method of making glue. The materials above enumerated are “first digested in lime-water, to cleanse them from grease or dirt ; they are then steeped in clean water with frequent stirring, and afterwards laid in a heap, and the water pressed out. They are then boiled in a large brass cauldron with clean water, scumming off the dirt as it rises, and it is farther cleansed, by putting in, after the whole is dissolved, a little melted alum or lime, finely powdered. The scumming is continued for some time, after which the mass is strained through baskets, and suffered to settle, that the remaining impurities may subside. It is then poured gradually into the kettle again, and farther evaporated by boiling and scum- ming, till it becomes of a clear dark-brownish colour. When it is thought to be strong enough, it is poured into frames or moulds about six feet long, one broad, and two deep, where it gradually hardens as it cools, and is cut out when cold by a spade into square cakes. Each of these is placed in a sort of wooden box, open in three divisions to the back ; in this, the glue, while yet soft, is cut into three slices, by an instru- ment like a bow, with a brass wire for its string. The slices are then taken out into the open air, and dried on a kind of coarse net-work, fastened in moveable sheds, four feet square, which are placed in rows in the glue-maker’s field. When perfectly dry and hard, it is fit for sale.” Mr. Austin, of Hatton Garden, some time since, took out a patent for “a new method qulueing or cementing certain mate- rials for building and otherpmposes.” The mode of manufac« ture and applying it, is thus described in the specification :— “The cement used by the patentee is made by mixing ounces of India-rubber cut into small pieces, to each gallon of naphtha, stirring it from time to time, until the India rubber is dissolved; then, to one part, by weight, of this mixture two parts of lac are added, and the whole is tho- roughly blended together by the application of heat, accom- panied with occasional stirring. When greater elasticity is required, a larger proportion of the India-rubber solution is used ; if greater hardness is necessary, a larger proportion of lac is employed; and where the India-rubber would be liable to injury from great exposure and pressure, a much less proportion is used, and it is sometimes dispensed with altogether; asphalte, pitch, or resin, or other materials of that nature, may in some instances be substituted for the lac. The materials for building-purposes to which this cement is applied are, slate, tiles, stone, glass, and metal-plates. When being used, the cement is kept in a heated state in a dish or vessel containing a narrow trough, termed a stamper, which slides up and down therein between guides; the slate or other material is brought to the heat of 150 degrees Fahrenheit, and placed upon the dish, and the stamper being then raised, imprints or stamps a margin of cement thereon. The requisite margins of cement for forming overlapping joints being thus applied to the slate or other material, the cemented portions or margins are laid in contact with each other, and in a short time become firmly united, forming water-tight surfaces. Sometimes, to expedite the process, a coating of naphtha, or other spirit that will act upon the cement, or a solution made by dissolving the cement in naphtha or other spirit, is applied to the cemented portions, or margins. The cement may also be used for securing the above materials to the building, as well as to each other.” “ The patentee connects pieces of glass together with the above cement when making skylights, conservatories, frames for horticultural purposes, &c.; he also cements slate, stone, metal, and manufactured clays and cements, together, or to wood, or to woven and other fabrics, to wood for building or other purposes; he likewise cements pieces of leather for making boots and shoes, and hose or pipes for fire-engines ; also leather and cork together, or to wood, metal, or woven or other fabrics, and woven and other fabrics to wood, for the manufacture of trunks, portmanteaus, packing-cases, and other purposes. When joining these materials, the parts must be dry and free fron dust, and should be warmed pre- vious to receiving a coat of the cement, in order that it may not be chilled at the moment of application. If the joint is to be made at once, the parts must be expeditiously put together and pressed, as the cement rapidly loses its heat, and becomes solidified, but the junction may be effected at any subsequent period by the application of heat, or the spirit or solution before described.” GLYPH, any canal or cavity used as an ornament ; hence the tablets in the frieze of the Doric order are called triglyphs, from their having three vertical channels ; that is, two whole ones and a half one at each edge of the triglyph. GNEISS, is the name of one of the great mountain forma- tions, being reckoned the oldest of the stratified rocks. It is composed of the same substances as granite, v1z.: quartz, mica, and feltspar. In gneiss, however, they are not In granular crystals, but in scales, so as to give the mass a slaty structure. It abounds in metallic treasures. GOBELIN, the term applied to the celebrated tapestry, introduced into France by the brothers Gobelin. In the year 1677, Colbert purchased the dye-houses from the Gobe- lin family, in virtue of an edict of Louis XIV., styled It the Hotel Royal des Gobelins, and established on the ground a ‘ great manufactory of tapestry, similar to that of Flanders. India-rubber with cold naphtha, in the proportion of eight 2 5r The celebrated painter Le Brun was appointed director-1n- GOT 450 GOT chief of the weaving and dying patterns. Under his adminis- tration were produced many magnificent pieces of tapestry, which have ever since been the admiration of the world; such as Alexander’s battles, the four seasons, the four elements, and the history of the principal events in the reign of Louis XIV. There is an academy within the Gobelins for the instruction of youth in the various branches of the fine arts, in physical science, and mechanics, subservient to the improvement of the manufacture. GNOMONIC COLUMN, See COLUMN. GNOMONIC PROJECTION OF THE SPHERE, that in which the eye is situated in the centre of the sphere, and projects all the circles upon a plane touching its surface. It is evident, that in this projection, all the great circles of the sphere are projected into straight lines, since they all pass through the centre of the sphere. Every lesser circle parallel to the plane of projection is projected into a circle, and any lesser circle not parallel to the plane of projection, is projected into one of the conic sections. . A very excellent tract upon the projection of the sphere, by Mr. Emerson, contains the full theory of the gnomonical prOjection. GOCCIOLATOIO, See CORONA. GOLA, GOLA-DIRETTA, GOLA-ROVESCIA, See CYMATIUM. GOLDMAN, an architectural writer, as also a mathema- tician, born at Breslaw, in Silesia, in the year 1623, and died at Leyden, 1665. He published his Elementa Architectura JIIilitaris, 1643 : another treatise of his, on the same subject, was published in 1696, accompanied with numerous engra— vings, and a life of the author. GONIOMETER, (from ywma, an angle, and [467-910, I measure) an instrument for measuring solid angles. A most convenient instrument for this purpose was invented by Dr. lVOllaston. GONIOMETRICAL LINES, lines used in order to determine the quantity Of an angle. Such are the lines of sines, tangents, and secants, commonly placed upon plane scales, the sector, Gunter’s scale, &c. GORGE, (French) a concave moulding, much less recessed than a scotia, used chiefly on frames, chambranles, 8m. GORGE is sometimes used for the cyma recta. It is used for the neck of a column ; but it is more properly called col- larz'no, gorgerin, or gorge. GORGERIN or GORGE, in architecture the little frieze in the Doric capital, between the astragal at the top of the shaft of the column, and the annulets. Some call it collarino. Vitruvius gives it the name of hypotrachelium. GOTHIC ARCHITECTURE, a title generally under- stood in the present day to apply to that style of building in which the Pointed arch is the most prominent, though not the only characteristic. The term has been variously applied at different times, and by different writers, whether contem- poraneous or otherwise, indeed, so great is the confusion on the subject, that it is not always easy to define the class of buildings alluded to under this title. Some authors include under the term all styles of building which differ from those adopted by the Greeks and Romans, embracing all modes of building which were in vogue from the decline of Classical architecture to its revival in the sixteenth century. Others limit the phrase to those modes which prevailed from the decline of Roman art to the introduction of the Pointed arch, including the Romanesque, Lombardic, Saxon, and Norman styles, in all of which the semi-circular arch was employed. A third class of writers apply the name solely to the Pointed style, under which restriction the term is for the most part employed in the present day, though some would still farther limit the application by adopting it solely for that division of Pointed architecture which is by most writers designated Pure or Decorated Gothic. . The term Gothic seems to have been first brought into use by the Italians, who applied it to all styles of building then prevalent which deviated from the Classic. Vasari, an Italian architect who lived at the commencement of the sixteenth century, after speaking of Greek orders, says, “ there is an- other kind called Gothic (Tedesca) which differs materially . both as to ornament and proportion from that of ancient and ; modern date. S0 deficient is it in systematic rules, that it ‘ may be deemed the order of confusion and inconsistency. The I‘ portals of this description of buildings, which has so much ‘i infested the world, are adorned with slender columns en- ; twined like vine-branches, and unequal to sustain the weight, however light, which is placed above them. whole exterior, with its other decorations, its profusion of canopied niches raised above one another, with so many pyra- mids, leaves, and points, renders it apparently impossible, not only that they should be durable, but that it should support itself—giving the whole an air of being made Of pasteboard rather than of stone and marble. This style was invented by the Goths, who spread the contagion through Italy. May God deliver every country in future from the adoption of plans, that, substituting deformity for beauty, are unworthy of further attention.” From the description which he gives in this passage, it will be very reasonably inferred, that he refers to the Pointed style of architecture, but it is evident that he also includes the modes adopted on the decline of Roman art, for he cites, as examples, the palace Of Theodoric at Ravenna, and the Indeed, the : churches of St. John the Evangelist, and Of St. Vitalis, ‘ in the same city, as also other buildings of Lombardic and ‘ Byzantine architecture. Amongst the first writers who intro- 3 duced the term into Encland was we believe Eve] 'n and he O. - 9 . Q ,1 3 gives the following description 2—“ Gothic arclntecture,” says he, “is a congestion of heavy, dark, melancholy, monkish iles, without an ‘ust ro ortion, art, or beaut ' ;” and else- i P Y .1 P P 3 where he describes it as “ a fantastical light species of build- ing.” Sir Christopher \Vren confirms the use of this term, for, after describing edifices erected after this mode of build- ing as “mountains Of stone, vast gigantic buildings, but not worthy the name of architecture,” he says, “ This we now call the Gothic manner ; so the Italians called what was not after the Roman style.” In another place our author applies the term Saracenic to buildings in the Pointed style, sup- posing that form of arch to have been brought from the East ' by the Crusaders. But to show what vague notions he held j upon the subject, we must add, that he attributes the cathe- : dral of “'inchester, and the church of St. Cross, to a period preceding the Norman conquest. Warton‘s ideas upon this head must have been also very indefinite, for he makes his earliest division of the style to commence about A.D. 1:200, ‘ which he calls Gothic Saxon, as distinguished from the true ‘ Gothic, of which he makes tracery in the window-heads the chief characteristic. He even denies the title of Gothic to Salisbury cathedral, which he includes under the term Gothic Saxon. Bishcp \Vati‘btii‘tOII gives the name of 1V0rman to Pointed architecture, reserving that of Satan for those styles in which the semi-circular arch prevailed. Captain Grose, a few years later, adverting to the use of the title 111 question, says, “ Most of the writers who mention our ancient buildings, particularly the religious ones, 110t\\‘llll~ standing the striking diflErence in the styles of their construc- tion, class them all under the common denomination of Gothic ; a general appellation, by them applied to all build- ings not exactly conformable to some one of the five orders of architecture. Our n‘odern antiquaries more accurately GOT 4 51 GOT divide them into Saxon, Norman, and Saracenic; or that species vulgarly, though improperly, called Gothic.” Mr. Bentham, a cotemporary, remarks upon the same sub- ject as follows :—“ The term Gothic, applied to architecture, was much used by our ancestors in the last century, when they were endeavouring to recover the ancient Grecian or ROman manner ; whether they had then a retrospect to those particular times when the Goths ruled in the empire, or only used it as a term of reproach to stigmatize the productions of ignorant or barbarous times, is not certain; but I think they meant it of Roman architecture: not such certainly as had been in the age of Augustus, but such as prevailed in more degenerate times, when the art itself was almost lost, and particularly after the invasion of the Goths; in which state it continued many ages without much alteration. Of this kind was our Saxon and earliest Norman manner of building, with circular arches and strong massive pillars, but really Roman architecture, and so was called by our Saxon ancestors themselves. Some writers call all our ancient architecture, without distinction of round and pointed arches, Gothic; though I find of late the fashion is to apply the term solely to the latter, the reason for which is not very apparent. The word Gothic, no doubt, implies a relation some way or other to the Goths; and, if so, then the old Roman way of building with round arches above described, seems to have the clearest title to that appellation : not that I imagine the Goths invented or brought it with them ; but that ' it had its rise in the Gothic age, or about the time the Goths invaded Italy. The style of building with Pointed arches is modern, and seems not to have been known in the world till the Goths ceased to make a figure in it. Sir Christopher Wren thought this should rather be called the Saracen way of building ; the first‘appearance of it here was certainly in the time of the Crusades; and that might induce him to think the archetype was brought hither by some who had been engaged in those expeditions, when they returned from the Holy Land." After these remarks, no one will wonder at Dr. Milner complaining of the confusion and difficulty with which the study of Gothic architecture had been surrounded by the vague and unsettled manner in which terms had been em- ployed by his predecessors and cotemporaries who had written upon the subject. The employment of the term and its application seems to have arisen from an idea entertained by the Italians, that the style of building to which they applied it, was introduced by the Goths after their incursion into Italy; this is evident from the expressions of Vasari, above quoted. Now, if the use of the title were restricted to those buildings with round arches which were prevalent after the fall of the Roman empire, there might be apparently some grounds for its assumption, but this does not seem to be the case even with the Italians, and certainly not with our own countrymen, although some of them doubtless thought that the Pointed arch was an invention of the Goths, in illustration of which we quote a passage on the subject from Sir Henry Wotton. He says :—“ As for those arches which our artisans call of the third and fourth point, and the Tuscan writers de tergo and dc quarto acuto; because they always concur in an acute angle, and do spring from a division of the diameter into three, four, or more parts, at pleasure. I say, such as these, both for the natural imbecility of the sharp angles them- selves, and likewise for their very uncomeliness, ought to be exiled from judicious eyes, and left to their first inventorsthe Goths or Lombards, amongst other reliques of that barba- rous age.” Whether the Pointed style, or that previously existing, be considered as invented by the Goths, the notion in either case is false and without foundation. The Goths had no architecture of their own; and not only are they innocent of introducing any new style into Italy, but, more than that, they do not seem to have caused any alteration in the old. What changes did take place arose very naturally from the gradual decline of art. It is not our intention in this place to enter into any discussion on the origin of Gothic Architecture ; we defer that for a future paper on POINTED ARCHITECTURE; all we desire to state at present is, that neither the Pointed style nor that preceding, in which the semi-circular arch con- tinued to be employed, were introduced by the Goths ; and that, therefore, the term Gothic could not justly be applied to them on that score. By many writers, the term is doubtless used as a term of reproach, and is intended as equivalent to the words—unci- vilized, barbarous; on which account, many persons of the present day have objected to its continued use. At the time of the revival of classical architecture, or rather of the adap- tation of classic orders and details to modern architecture, the excellencies of Pointed architecture were but little under- stood or appreciated ; and hence the desire to stigmatize it as barbarous. Since then, however, the prejudice for the orders has ceased, and Gothic art is viewed with a more favour- able, and, we may add, more experienced eye, and men are desirous of rescuing it from any stigma, even though it be but a nominal one. From this cause, man;r names have been suggested in. lieu of the contemptuous Gothic, amongst which we may enume- rate the following— Christian, Catholic, English, and Pointed —as being the most usual. It is true, the word Gothic is ill-devised, insignificant, and entirely inapplicable, yet we cannot think that any of the terms proposed are sufficiently expressive to explode a title of so long standing and such universal acceptation. The term was originally, without doubt, employed as a mark of reproach, but now-a-days no such meaning is implied by it, and no one is misled by its use. In applying the term now, no one ever thinks of its original intention, but considers it solely as a phrase descrip- tive of a certain class of buildings, of which each man forms his opinion, quite independently of its appellation. Even supposing we were to explode this expression, what could be substituted in its place; no one term has been universally agreed upon ; and we should have a general scramble, each partizan seeking to adopt his own peculiar title, and probably maintaining it to the utmost of his power; so that instead of one, we should have several titles, each striving for, but none obtaining, universal adoption. We submit, that it is better to have one term well estab- lished, even though it be confessedly a very incorrect one, than several exceptionable ones of only partial use. Sir James Hall speaks to the point when he says: “In the present unsettled state of public opinion, both with respect to the origin and the history of this style, I have judged it best to attempt no innovation in this matter, and have made use of the name of Gothic Architecture; which, though certainly no less objectionable than many of those that have been offered to the public, has the advantage of being universally known and understood amongst us. The two first names which we have mentioned as proposed substitutes for the word Gothic, namely, Christian and Catholic, are objectionable, on the grounds that this is not. the only style which is entitled to such designations. Both Lombardic and Byzantine were styles adopted by the Chris~ tian church; nay more, in a certain sense they may be said to have been of Christian growth. Mr. Pugin contends, that l although other styles have been employed in early ages, they GOT 452 GOT were rather of Pagan origin, or arose from unsuccessful imitations of Pagan buildings ; in fact, that they were mere make-shifts, used only for a temporary purpose, until a more perfect system, and one more thoroughly Christian, should arise. We are most willing to admit that Gothic architecture is the perfection of Christian art, but, at the same time, cannot in justice allow its exclusive title to that term. The third term can only be of partial application, and only then correctly employed when applied to the style as practised in our own country: the theory that Gothic architecture origi- nated in this country, has, we believe, been long since exploded. The term Pointed, though on many accounts a very correct one, is still open to similar objections to those urged against the two first, inasmuch as it would naturally include other styles besides the one to which it is intended to be applied. In the quotations which we have above introduced from writers of the last two centuries, we have been necessitated to admit some contemptuous and opprobrious observations on the merits of Gothic buildings, when compared with those of Greece and Rome; but we cannot permit such remarks to pass by unheeded. At the period of what is called the revival of classic art, such unworthy opinions as those we have alluded to were far from uncommon; indeed, it was fashion- able in those days to stigmatize everything belonging to the middle ages as dark and barbarous, and no one could give better proof of his admiration of classic antiquity than by reviling and sneering at every other kind of art, more espe- cially at that which threatened a most dangerous rivalry. The quotations which we have already given on this head have been taken from Vasari, Wotton, Evelyn, and \Vren ; we will now give some more extracts of the same tendency, taken, for the most part, from the writings of the last named architect. In his Parentalia, he says: “It was after the irruptions of swarms of those truculent people from the north, the Moors and Arabs from the south and east, overrunning the civilized world, that wherever they fixed themselves, they began to debauch this noble and useful art, when, instead of those beautiful orders so majestical and proper for their stations, becoming variety, and other ornamental accessories, they set up those slender and misshapen pillars—or, rather, bundles of staves and other incongruous props—to support incumbent weights and ponderous arched roofs, without entablature; and though not without great industry, not altogether naked of gaudy sculpture, trite and busy carvings ; it is such as gluts the eye, rather than gratifies and pleases with any reasonable satisfaction. For proof of this, without travelling far abroad, I dare report myself to any man of judgment, and that has the least taste for order and magnifi- cence, if, after he has looked a while upon King Henry VIL's chapel, at VVestminster—gazed upon its sharp angles, jetties, narrow lights, lame statues, lace, and other out-work and crinkle-crankle, and shall then turn his eyes on the Banqueting House, built at Whitehall by Inigo Jones, after the ancient manner ; or on what his majesty’s surveyor has done at St. Paul's, and consider what a glorious object the cupola, porticoes, colonnades, and other parts present to the beholder ; let him well consider and compare them judicially, without partiality and prejudice, and then pronounce which of the two manners strikes the understanding, as well as the eye, with more majestic and solemn greatness, though they, in so much plainer and more simple dress, conform to the respective orders and eutablature, and, accordingly, determine to whom the preference is due. Not, as we have said, there is not something solid, and oddly artificial, too, after a sort ; but the universal and unreasonable thickness of the walls, clumsy buttresses, towers, sharp -pointed arches, doors, and other apertures, without proportion; nonsensical insertions of various kinds of marbles impertinently placed ; turrets and pinnacles, thick set with monkeys and chimeras, and abun- dance of busy-work and other incongruities, dissipate and break the angles of the sight, and so confound it that one cannot consider it with any steadiness where to begin or end ; taking off that noble air and grandeur, bold and graceful manner, which the ancients had so well and judiciously established.” “Nothing was thought magnificent that was not high beyond measure, with the flutter of arch-buttresses -—so we call the sloping arches that poise the higher vaulting of the nave. The Romans always concealed their butments ; whereas the Normans thought them ornamental. These, I have observed, are the first things that occasion the ruin of cathedrals; being so much exposed to the air and weather, the coping, which cannot defend them, first failing, and, if they give way, the vault must spread. Pinnacles are of no use, and of little ornament. The pride of a very high roof raised above a reasonable pitch is not for duration.” Else- where, speaking of their construction, he says : “ Few stones were used but what a man might carry up a ladder on his . back from scaffold to scaffold, though they had pulleys and ‘ spoked wheels upon occasion ; but having rejected cornices, they had no need of great engines. Stone upon stone was easily piled up to great heights, therefore the pride of their ‘ work was in pinnacles and steeples.” carried all their mouldings perpendicular, so that they had nothing else to do but spire up all they could.” “They affected steeples, though the Saracens themselves used cupolas.” We do not feel so much surprised at such expressions escaping men unattached to the profession, or even Vasari, for he was an Italian, and therefore naturally biassed in favour of classic art ; but to hear such opinions from a man like Sir Christopher, must ever be a subject for wonder and regret. Wren was, without controversy, a man of great talents and high attainments; of considerable taste, and of unusual scientific knowledge; nor was he ignorant either of the nature of Gothic architecture—for he had made a special profes- sional examination of its finest examples—or of its princi- ples; for, as we believe, he learned much from them, and applied them in his own buildings. That prejudice should have extorted from such a man such unhappy tirades in con— demnation of Mediaeval art, is, we repeat, at once a matter for wonder and regret. It is pitiable to hear such a man challenging his predecessors with so great self-satisfaction, and inviting a. comparison between his own Works and theirs; complaining, too, of their faulty construction and useless ornaments, when he himself received no little scientific infor- mation at their hands ; and, as regards the useless ornaments —if, indeed, we do not give him too much credit for con- structive skill—was not only aware of their practical utility, but even adopted their principle, though in a less skilful manner, in his own vaunted Cathedral. But we will not rest satisfied with our own authority. Since “'ren’s time, “The Gothic way ‘ Mediteval art has met with less prejudiced judges; and many ‘ writers of high standing, and architects of well-known ability, ; have given ample testimony in its favour. It is now more fully understood, and its beauties better appreciated; in short, Gothic art is now what Classic was in “'ren’s days—— i the “fashion.” But ere we proceed to bring forward any more favourable witnesses, let us do “'l‘en justice. and give ‘ another extract from his works, which tends in some measure to qualify his previous language. Even he recognizes, in some few buildings of this style, “ a discernment of no contemptible art, ingenuity, and gt‘U- ‘ metrical skill. in their design and execution.” Also—“ Thus : GOT 453 GOT the work required fewer materials, and the workmanship was, for the most part, performed by flat moulds, in which the war- dens could easily instruct hundreds of artificers. It must he confessed, this was an ingenious compendium of work suited to these northern climates; and, I must also own, that works of the same height and magnificence in the Roman way, would be very much more expensive than in the other Gothic manner, managed with judgment.” But to pass on to later writers—Rev. J. Milner, alluding to Evelyn and Wren’s remarks, says—“ Every man who has an eye to see, and a soul to feel, on entering into York Min- ster and Chapter-House, or into King’s College or Windsor Chapel, or into the cathedrals of Lincoln or Winchester, is irresistibly struck with mingled impressions of awe and plea- sure which no other buildings are capable of producing; and however he may approve of the Grecian architecture for the purposes of civil and social life, yet he instinctively expe- riences in the former a frame of mind that fits him for prayer and contemplation, which all the boasted regularity and mag- nificence of Sir Christopher’s and the nation’s pride, I mean St. Paul's Cathedral, cannot communicate, at least, in the same degree.” Bishop Warburton says— “ Our Gothic ancestors had juster and manlier notions of magnificence on Greek and Roman ideas, than those mimics of taste who profess to study only classic elegance; and because the thing does honour to the genius of those barbarians, I will endeavour to explain it.” Mr. Dallaway says — “ Certain it is, that the Gothic churches, whatever he the peculiar manner of their era, present their beauties to every eye. We cannot contemplate them without discovering a majestic air well worthy of their destination, with a knowledge of what is profound in the sci- ence and practice of building, and a boldness of construction, of which classic antiquity furnishes no examples.” The following words of Coleridge are remarkable: in com- paring the Classic and Gothic modes of architecture, he says, —“ The Greek art is beautiful. When I enter a Greek church, my eye is charmed and my mind elated; I feel exalted, and proud that I am a man. But the Gothic art is sublime. On entering a cathedral, I am filled with devotion and with awe ; I am lost to the actualities that surround me, and my whole being expands into the infinite ; earth and air, nature and art, all sweep up into eternity, and the only sensible impression left is, that I am nothing.” VVliewell, referring to the use of the word Gothic as a term of reproach, says—“ If we would employ the term barbarous with any significance, it is not to be applied to one style of art merely because it differs from another. A Gothic build- ing is no more barbarous than a Grecian one, if the ideas which govern its forms be fully understood and executed: but those attempts rather are to be called barbarous, which imitate the features of good models, and which, not catching the principle of the art, exhibit such parts incongruously com- posed and imperfectly developed. In writing Greek, an Anglicism is a barbarism ; but we shall not be willing to allow English to be barbarous, because it is not Greek; and a mix- ture of the two is equally barbarous, whether it pretends to be one or the other.” Mr. Poole, a recent writer on the subject, is very warm in his admiration: he says—“ But there arose in the west in the middle ages a style of architecture growing in all its parts and characters out of the wants of the church ; and adapting itself to the expression of the very things which she desires to express in all her methods of embodying herself to the eyes of the world, and to the hearts of her sons. And so entirely did this style arise out of the strivings of the church 5 z to give a bodily form to her teaching, that it seems to have clothed her spirit, almost as if the invisible things had put forth their unseen, but powerful and plastic energies, and gathered around them on all sides the very forms and figures which might best serve to embody them to the eye of sense. A Gothic church in its perfection is an exposition of the dis- tinctive doctrines of Christianity, clothed upon with a mate- rial form ; and is, as Coleridge has more forcibly expressed, ‘ the petrifaction of our religion,’ or, as it has been expressed by a mind essentially differing from Coleridge's, which makes the coincidence the more remarkable, ‘ the divine order and economy of the one seems to be emblematically set forth by the just, plain, and majestic architecture of the other; and as the one consists of a great variety of parts united in the same regular design according to the truest art and most exact pro- portion, so the other contains a decent subordination, various sacred institutions, sublime doctrines, and solid precepts of morality, digested into the same design, and with an admi- rable concurrence tending to one view,—the happiness and exaltation of human nature.’ “ Much has been said about the proper designation of this style. The term Gothic has use on its side to so great a. degree, that it will never be superseded, and though it has no truth in it at all, and was at first given in ignorant derision, one would scarce wish it altered; the style which it desig- nates is exclusively Christian, and it is nothing new or dis- pleasing to that which is distinctively Christian, to take a name from a scorner, and to convert the opprobrium into a glory. “ Such then is Gothic architecture:——theological, eccle- siastical, and mystical, in all its parts and characters. It grew to its perfection both in general design, and in more minute details of ornament and execution, during many successive generations ; and although we have few churches entire and unmixed of its earliest forms, we have remains more or less perfect of almost every variation in its style, from the Nor- man of the twelfth century, to the elaborate perpendicular of the Tudor.” We conclude with the following remonstrance from Mr. Pugin, a gentleman to whom we are pre-eminently indebted for his perseverance in the study and defence of Mediaeval art, and to whose “ Contrasts,” although somewhat overdrawn, we would beg to refer the reader, as apropos to the question before us. Mr. Pugin says—“ Before true taste and Christian feelings can be revived, all the present and popular ideas on the sub- ject must be utterly changed. Men must learn, that the period hitherto called dark and ignorant, far excelled our age in wisdom, that art ceased when it is said to have been revived, that superstition was piety, and bigotry faith. The most celebrated names and characters must give place to others at present scarcely known, and the famous edifices of modern Europe sink into masses of deformity by the side of the neglected and mouldcring piles of Catholic antiquity. If the renunciation of preconceived opinions on this subject, and the consequent loss of the present enjoyment derived from them, be considered as a great sacrifice, does not the new and glorious field that is opened offer far more than an equivalent? What delight, to trace a race of native artists hitherto unknown, in whose despised and neglected productions the most mystical feeling and chaste execution is to be found, and in whose beautiful compositions the originals of many of the most celebrated pictures of more modern schools are to be traced ! what exquisite remains of the sculptor’s skill lie buried under the green mounds that mark the site of once noble churches I what originality of conception and masterly execution do not the details of many rural and parochial churches exhibit! There is no need of visiting the distant GOT 4 4 GOT shores of Greece and Egypt, to make discoveries in art. England alone abounds in hidden and unknown antiquities, of surpassing interest.” Of the peculiar effect produced upon the mind by Gothic edifices, and of the principles upon which its excellencies depend, Milner gives us the following explanation 2—“ The eye is quickly satiated by any object, however great and mag- nificent, which it can take in all at once, as the mind is with what it can completely comprehend; but when the former, having wandered through the intricate and interminable length of a pointed vault in an ancient cathedral, discovers two parallel lines of equal length and richness with it; thence proceeding discovers the transepts, the side chapels, the choir, the sanctuary, and the ladye chapel, all equally interesting for their design and execution, and all of them calculated for different purposes ; the eye, I say, in these circumstances is certainly much more entertained, and the mind more dilated and gratified, than can possibly be effected by any single view, even though our modern architects should succeed in their attempts to make one entire sweep of the contents of a cathedral, in order to show it all at a single View, and to make one vast empty room of the whole.” Mr. Poole adds——“ But surely some part of the effect of a Gothic cathedral resides in that very excess of length over breadth, affording a long perspective, directing the eye towards the altar, through an avenue of oft-repeated similar parts, and creating, as it were, an artificial infinite. The roof as well as the walls of a Gothic building is so composed as to help this effect to the utmost. Groin beyond groin, boss beyond boss, pendent beyond pendent, is seen,—-first of all each distinct and clear, but by degrees approaching and touching one another in the perspective, and at last, lost in the complexity—not confusion, but complexity—of the whole. The plain becomes obscure, the defined indefinite, in the long- drawn distance. “Even irregularity of structure lends its aid to produce this effect, and irregularity is a beauty purely Gothic. The eye that wanders in an oblique direction, travels through the nearer arches to some unexpected aisle or chapel, and seems lost in an undefined distance. It is scarcely possible to exag- gerate the effect of this combination of elevation, length, and irregularity, so averse from the Grecian concinnity and uni- formity ; especially when they are helped by the dim religious light poured through the painted windows. “Fancy yourself for a moment standing just within the great western entrance of one of our cathedrals, and you will feel what is meant by breadth in architectural effect. The eye is of course directed eastward, and there it has its point of repose ; and the great east window limits its view, at a dis- tance, which, with all the accessories before mentioned, seems indefinite. But the aisles at either hand have absolutely no termination to the mind’s eye. For a while you see through the intervening arches; but you see less and less at each interval, and long before the actual termination of the aisle, the piers, approaching one another in the perspective, close upon the unfinished view. The mind’s eye goes forward, while the eye of sense is arrested. The limit is as effectual as if it had been abrupt ; but it is so gradual that you scarce feel where it occurred. There is a perfect consciousness of the length beyond, notwithstanding the absolute impossibility of discerning it.” Thus much for the impugners and apologists of Gothic architecture ;—-—it will appear somewhat incredible that so great a difference of opinion should exist amongst men all eminent for taste and judgment, but such is the case ; what in Wren’s time was considered barbarous, is now upheld as scientific and beautiful We follow the taste of our age which we believe to be correct, and maintain the superiority of Gothic over Classical art, not only as regards its general effect, but also in scientific construction, correct and tasteful ornamentation, accommodation, and general convenience. In our previous extracts we have alluded more especially to the general effect of the two styles, we will now touch upon each of the other qualities seriatim, and, in doing so, we shall give, as before, greater prominence to the opinions of those who have arrived at a high standing in their profession, and prin— cipally of those who have devoted their time specially to this Subject, than to any observations of our own ; as we deem their authority will carry more weight with it than anything we can say. We need only mention the names of Pugin and Bartholomew, Willis, and Whewell, to obtain an attentive perusal, and would refer our readers for more extensive information on the subject than our space will allow of, to the standard works of those gentlemen. In some of the extracts from the Parentalz'a, previously given,we hear Wren inveighing against the Mediaeval builders on account of their rude and unskilful construction ; we con- trast their remarks with some others on the same subject by the late Mr. Bartholomew, 'than whom we could scarcely have a more impartial judge, for while on the one hand he is a great admirer of the Mediaeval architects, he is no less pre- disposed in favour of Wren, on whose scientific skill in con- struction, he is continually pouring forth the most warm—we had almost said the most extravagant—encomiums. Let us hear what are his opinions in this controversy; they are expressed as follows :— “ During the middle ages, geometrical science was applied to architecture in the loveliest manner: the general plan, the columns, the arches, the doors, the windows, the galleries, . the vaulting, the flying buttresses, every panel, every com— partment, the most minute ornament, exhibited an intimate acquaintance with that profound and masterly science, without which building becomes vicious, cumbrous, expensive, mean, fragile, absurd, and disgusting. ' “ After the decline of Gothic architecture, a foolish notion went abroad in the world, that cumbrousness and extrava- gance of material were characteristics of Gothic architec- ture ; even that great and talented man, John Evelyn, who possessed a very superior knowledge of architecture, enter- tained the then current opinion: but of late, mankind have become strangely undeceived upon this point ; and the plans and sections of ancient and modern buildings, brought toge- ther in parallel, now fill the mind with astonishment, that so comparatively small a quantity of materials, and those fre- quently of minor quality, could have been piled up to exist, with little failure or decay, such a long course of time. It is not that Gothic buildings are always perfect in constructimi, but in general they are nearly so ; in fact, so light are some of them, that they need more substance, as well as harder materials, to resist the mere operation of time upon their sur- faces. The Gothic architects always built with the greatest economy: when square stone was easily procurable, they formed their walls very thin; but when, from the length of the carriage of it, it became costly, they used for their walls the most ordinary rubble-stone of the country, and they then gave to their walls thickness sufficient to prevent them from reading and rolling apart‘ from the fluent nature of their materials.” Elsewhere he says—“ Now the Medizeval Christian builders arrived to such a delicate and intimate acquaintance with architectural dynamics, that, by the discovery of the way in which all the particles of their materials are affected by gra- vity, they were enabled, by merely subjecting them to fran- gibility caused by compression. so to economize them and GOT 455 GOT reduce their quantity, that many members of Gothic edifices, after five hundred years’ devastation by time, are more sound than corresponding members of our modern buildings which have not subsisted fifty years, and which contain five times their proportion of materials. “ It was this scientific economy which enabled those real magicians to rear up securely their works so high towards heaven in the beauty of architectural holiness: it was this scientific economy which left them money enough to cover their sweet fabrics within and without with the richest intaglio, and the goldsmith’s work of heaven, while their patrons grumbled not, nor grudged the rich profusion, but joined heart and soul in the goodly work, and the wise and noble fabricator needed none of that kind of over-persuasion, or cajolery, or intentional misunderstanding, or tasteful out- witting, by which alone the modern architect is frequently enabled to wring from his employer other than bare walls ; this scientific economy rendered unnecessary the rabble of cement—makers and sand-concreters—those spendthrift em- pirics, which suck out the brains of architecture, rifle her pockets, violate her chastity, bruise her face to a mummy, and then cover it with oil—plasters and cosmetics of white- wash and iron oxide. “ So admirable in general is the skill displayed in the dynamic disposition of the material of a Gothic cathedral; so shrewdly are the forces of its gravitation reduced to sim- ple compression, that the whole is like a wonderful piece of shoring, sublimely and permanently imitated in stone. He who compares its flying-buttresses to a piece of wood-scaffold» ing, at once confesses that it is raised with that art which emanates from the workman's most delicate and anxious caution.” In truth, the erections of this style are but the embodi- ments of constructive science, not only does the main form and general outline depend thereon, but even those pecu- liarities which an unpractised eye would be tempted to esteem mere decoration: but those who have made themselves ac- quainted with the subject, are well aware that the Mediaaval architects never constructed decoration, but decorated con- struction ; they made their building perfect, and then applied their ornament with most correct judgment and refined taste. A Gothic building is a practical illustration of the principle of the arch, and of its application in the most perfect form. We had almost termed it the extension and perfection of Roman architecture, for they were the first to apply the prin- ciple, but only in a partial and imperfect manner ; the idea was new to them, and they did not fully comprehend it, they did not understand its universal applicability, and therefore only partially adopted it. In their buildings many of the forms of Grecian architecture still remained; they were fet- tered by its rules, by its influence, and thereby prevented from bringing their new theory to perfection. They had been used to the forms, they knew of no others, and hence arises their inconsistency. Roman architecture was, so to speak, a transition, and, so far, imperfect style ; in it we see the new and old principles struggling for the mastery, yet each maintaining a certain influence; we have indeed the arch, but there still remains the entablature, which was in this place totally useless and inconsistent, they were each the exponent and characteristic of its own theory, and as the two systems were repugnant the one to the other, so was their in- troduction into the same building liable to the charge of incon- sistency. The entablature in the one case answered the same purpose as the arch in the other, and therefore, where the one prevailed, the other should have disappeared ; but this we know was not at first the case, it was left to the Mediaeval architects to bring the new system to perfection. Roman architecture is but the germ, Gothic its complete development. We cannot forbear offering one or two instances of the scientific skill of the Gothic architects, as exemplified in their mode of construction. It is a matter which has been fre- quently alluded to in other works, but one, we think, without which any treatise on Gothic architecture would be imper- fect. It was their custom, as We all know, to cover their large buildings with *aults of masonry, a method of roofing in which they greatly excelled their predecessors. The Romans were acquainted with this method, and applied it in many instances, yet their specimens of vaulting, when com- pared with the Mediasval, appear but clumsy expedients ; they were confined to the use of the common cylindrical and quad- ripartite vaulting, or that of which each compartment con- sisted of four cells only, the latter kind being caused by the intersection of two cylindrical vaults at right angles to each other. But even in this simple kind of groining they found a difficulty, for when the intersecting vaults were of different span, and of the same elevation, their arches being confined to the semi-circular form, they were at a loss how to proceed. In Gothic architecture, the difficulty is entirely obviated by the employment of the Pointed arch, and by its application the Mediaeval builders were enabled to construct vaults of so elaborate and varied a character, such as the Romans, with their forms, dared never to have dreamed of. But this is not the only improvement our ancestors effected in vaulting ; the Roman vaulting consisted entirely of large stones, and was therefore of very great weight, a circumstance which was very detrimental to its application, for as the wall had to bear the entire burden, it was absolutely requisite that they should be of extraordinary strength. Now, our Gothic builders obviated this difficulty likewise in a most scientific manner; they made their vaults equally secure with a much smaller consumption of material, by which means they not only saved the walls an undue pressure, but also considerably reduced their expenditure throughout the building. This they managed in the following manner. In their large works, such as cathe- drals, in which vaulting was more frequently applied, it was their custom to carry up a pier or bearing-shaft on the face of the nave-shafts, either springing directly from the ground, or supported on a corbel at some point immediately above the piers. From the top of these shafts, as points of bearing, were extended ribs or arches across the nave from the bear- ing-shafts on the one side to those on the other, in three or more directions; in the more simple forms, each compartment of the vaulting consisted of six entire arches, enclosing four cells or spaces between the ribs, which were arranged in this manner ;-—from each of the four bearing-shafts sprang three arches; one, the longitudinal, extending to the next shaft on the same side of the nave, that is, in the direction of the length of the building ; another, the transverse, stretch- ing at right angles to the longitudinal to the shaft immediately opposite on the other side of the nave ; and a third, the dia- gonal, extending between the most distant shafts from one angle of the bay to the opposite. These diagonal ribs inter- sect each other, and at the point of intersection butt against a key-stone, which generally extends below the level of the vault, and is sculptured in the form of foliage or some other ornament; this key-stone locks the system together securely. The ribs formed the constructive portion of the vault ; they were the skeleton, as it were, on Which the covering or cuticle was stretched: they were the only por- tions of the vault in which large stones were used, the cells being filled up with much smaller stones, and they of less ponderous material, by which means the whole vaulting was rendered lighter and more secure. In this way did they pain GOT 456 GOT an incalculable advantage over the Romans; nor did their skill cease here; having so far reduced the forces of the enemy, they prepared to carry the remaining thrust of the vault away from the walls of the Clerc-story, and conduct it 'safely to the foundations, and this they accomplished with equal or even greater skill. From that point of the clere- story wall, where the thrust of the vaulting was collected, the force was carried over the aisles by means of an arch termed a flying-buttress, which rested at its lower extremity on the pillar-buttresses attached to the aisle-walls. But here it is necessary to notice one or two peculiarities which might be likely to escape the observation of a. transient observer. Hav- ing collected the active force of the vaulting to one spot by means of the ribs, they there spread out the flying-buttress in the same manner as now-a-days we place a board against a wall in cases of temporary shoring, and sometimes placed one arch below another, the two being separated at the wall, but uniting ere they reach the wall-buttress, by which method the force was concentrated at that point, while the whole of the clere-story wall was equally supported. Having conducted the drift to this point, it remained to bring it safely to the ground; and how could this be efl'ected ? The method, which would at once naturally have suggested itself, would have been to extend the buttresses from the wall to such an extent as to receive the thrust within its mass until it reached the earth ; but this would necessitate a very great projection, and therefore a large consumption of space and materials. This difliculty they met and nullified in the most skilful manner, and by a most simple contrivance. It was by merely super- adding a pinnacle to the wall-buttress above the point at which the force was collected. We have now another force in operation, that of the downward pressure or gravity of the materials composing the pinnacle, and this combining with the thrust of the vault, changes the direction of that force so as to make it more nearly perpendicular, and bring it within a buttress of moderate projection, which, be it remembered, served a further purpose of strengthening the aisle-walls and diminishing their thickness, for it is well known, that a wall with buttresses at intervals, is as strong, or stronger, than a mere wall of the combined thickness of the wall and but~ tress. In this manner did they press everything, whether friendly or inimical, into their active service, and succeeded in rearng edifices of the most skilful construction, most rigid economy, and chaste and delicate decoration. How Wren could have inveighed against the construction of our Gothic buildings we cannot understand, especially as he seems to have imitated them in several particulars, though not certainly with equal taste or skill. He has used very similar means to those above described, in resisting the thrust of his vaulting, in his vaunted Cathedral ; buttresses are carried over the aisle to the outer wall, and are concealed by a screen running round the building, and having the appearance of an additional story, which certainly gives the building a more imposing appearance on the exterior, but at the expense of truth, and, like the dome, creates afeel- ing of disappointment when you enter the interior. To this circumstance Mr. Pugin alludes in a passage which we shall have occasion hereafter to quote. As regards “H‘en’s objec- tion respecting the size of the stones used in Gothic edifices, we need say nothing, it refutes itself, for surely if a building can be raised with equal security by the use of small stones which a man can carry on his back, it is much superior, at. least in point of economy, to one raised with large blocks which require ponderous machinery to move them to their destined positions. We leave Sir James Hall to answer objections made on the score of false proport .ons ; he deals with them in a way no less summary than it is decisive. After speaking of the principles of Gothic architecture, he says :—“This view furnishes a complete answer to the common objection made to the Gothic style, of wanting proportions, for that accusa- tion has always been the consequence of judging the Gothic by Grecian rules, in which case it could not fail to appear absurd and disproportioned ; whereas when tried by its own laws, it will be found completely consistent and harmonious in all its parts ;” of course, if persons commence by assuming Grecian proportions to be the acme of perfection, and all that differs from them to be false and barbarous, we may at once yield the argument, for the question is decided ere we commence. Mr. Pugin alluding to the same subject says :—“ Under the head of architectural propriety, we have also to consider the scale and proportions of buildings. \Vithout vastness of dimensions it is impossible to produce a grand and imposing effect in architecture ; still, unless these be regulated on true principles, they may destroy their effect by their very size ; and here I wish to draw your attention to a point which will prove the great superiority of the Christian architecture of the middle ages, over that of classic antiquity, or of the revived pagan style. In Pointed architecture the different details of the edifice are multiplied with the increased scale of the building ; in classic architecture they are only magnifiet .” This principle of multiplying parts with the increased size of the building. is a characteristic of the style, and is one in our opinion in which it'greatly excels its rival. It now only remains to touch upon two subjects of com- parison ; the first as regards the application of ornament, and the last as to convenience and accommodation. The writers of VVren’s time were too apt to consider Gothic architecture as a system of decoration, gaudy and puerile; a system in which useless ornament. was the chief aim and object, and in which it was introduced without reason or modera- tion, and hence they termed it merctricious and barbarous. Investigation has taught us differently ; and where they saw naught but confusion and redundancy, we detect order and sound judgment. Ornamentation was seldom introduced by our old church-architects without a cause or without a mean- ing: we do not mean to go so far as to assert that such was never the case, but we do say that there was, for the most part, a nice adaptation, a propriety, in their decoration ; the parts to be enriched were not introduced without a specific object, and their manner of enrichment was made subservient to that object; for instance, look at the projecting string~ course, the weather—mouldings of the heads of windows, to conduct the moisture from the enriched and delicate part of their work, so as to preserve it from injury, and the termi- nating dripstone to throw it off the walls. Each part was decorated so as at once to delight the eye, and answer an useful end ; each moulding was beautiful and appropriate to its own peculiar duty; their contours varied, not from any wild fancy or exuberant imagination, but simply to make it eflicient to the purpose for which it was employed. LOok again at their buttresses, to which we have already alluded, and the gorgeous pinnacles, not a mere decoration, as our forefathers would have it, but a most useful and indispensable addition. But we can almost forgive them for seeing only the beauty, at least where they acknowledge so much, for the graceful finish given to the buttress thereb ', is sutiicient to justify such an addition, even supposing it served no other purpose than mere ornament, and we need not Wonder at their resting satisfied with it as a means of decoration with- out looking to any further purpose. The buttresses them- selves likewise were equally agreeable to the eye, as they were useful and essential to the construction; by them we GOT 457 GOT obtain a bold and pleasing variety in the main outline of the building, and that play of light and shade which adds so greatly to the appearance of a Gothic edifice. Looking once more at the smaller members, we find niches, corbels, bosses, vaulting ribs, each answering two ends, one useful, the other ornamental. What objects can be more beautiful than some of the Gothic niches, especially of the later styles, and yet what more necessary in a climate like ours ; on the exterior of buildings, more especially, they serve to protect the higher branches of carving from the inclemency of the weather, and in the interior from accident or injury ; but it was pro- bably their unusual elegance rather than their usefulness, which caused their introduction as a means of internal decora- tion. In short, the Mediaeval artists did not construct orna- ment, but ornamented construction. On this subject we add the following remarks from Pugin’s Principles of Pointed Architecture :— _ “The two great rules for design are these :——1st. That there should be no features about a building which are not necessary for convenience, construction, or propriety; 2nd. That all ornament should consist of enrichment of the essential construction of the building.” “In pure architecture the smallest detail should have a meaning, or serve a purpose; and even the construction itself should vary with the material ; in which they are executed.” “ Strange as it may appear at first sight, it is in Pointed architecture alone that these great lprinciples have been carried out; and I shall be able to illustrate them, from the vast cathedral to the simplest erection. Moreover, the architects of the middle ages were the first who turned the natural properties of the various ; materials to their full account, and made their mechanism a I vehicle for their art.” Pointed architecture does not conceal her construction, but beautifies it: classic architecture seeks to conceal, instead ‘1 of decorating it. ' “ The clumsy vaults of St. Paul's, London, mere coffered semi-arches without ribs or intersections, have their flying buttresses; but as this style of architecture does not admit of the great principle of decorating utility, these buttresses, instead of being made ornamental, are concealed by an enor- mous screen, going round the building : so that in fact one- half the edifice is built to conceal the other. Miserable expe- dient ! worthy only of the debased style in which it has been resorted to." “An architect should exhibit his skill by turning the difficulties which occur in raising an elevation, from a con- venient. plan, into so many picturesque beauties; and this constitutes the great difference between the principles of Classic, and Pointed domestic architecture. In the former he would be compelled to devise expedients to conceal these irregularities; in the latter he has only to beautify them. But I am quite assured that all the irregularities that are so beautiful in ancient architecture, are the result of certain necessary difliculties, and were never purposely designed; for to make a building inconvenient for the sake of obtaining irregularity, would be scarcely less ridiculous, than preparing working-drawings for a new ruin. But all these inconsis- tencies have arisen from this great error ;—the plans of buildings are designed to suit the elevation, instead of the elevation being made subservient to the plan.” The last observation of Mr. Pugin's leads us very naturally to the consideration of the next subject. The Greeks were confined to one plan in their edifices, the parallelogram ; and in their application of this form they had but little choice, the main variation consisting in the arrangement of the external colonnade. It was a form well enough adapted to their religious Observances, and restricted to buildings of that 6 A nature. Their edifices were chaste and grand, but chargeable at the same time with sameness and monotony ; the one idea was universally resorted to, and probably because they had no occasion for any other. The Romans, however, did not restrict themselves to this form, their wants were more exten- sive than those of the Greeks, from Whom they borrowed the main idea of their architecture ; they wanted Something more than temples; in short, they were a more secular people than the Greeks, and thought their secular buildings worthy of as costly magnificence as the temples of their gods. To this circumstance we owe the introduction of the practice of grouping, as it is termed, and the adaptation of the plans of the buildings to the various purposes of life ; the Romans broke through the ancient rules of uniformity, and struck out into a wider and bolder path, which led by many directions to a great variety of results. But even the Romans were but tyros in this new system, which they left to after—ages to bring to perfection. The old Greek style was but little adapted to this altered state of things; and as much as the Romans gained in convenience, by so much they lost in appearance ; the old principles could but ill brook their forced adaptation to new rules, and in process of time they died, (if we may be allowed the expression,) a natural death. The prin- ciples of Gothic architecture took their rise from the wants of the times, and gave completeness to that of which the Romans had originated the idea; and the style has this superiority over every previous one that it can easily adapt itself to any purpose. No matter what shape you require your plan, nay, it matters not, though it be of no acknowledged or describable shape at all, you may rear upon it an elevation in accordance with the principles of the style, and one which only requires a skilful hand and practised eye to make it at once tasteful and convenient. Sir James Hall has the following trite remarks, which are very much to the point, he says :— “ In order therefore to apply Grecian architecture to our purposes, it has been found necessary very much to alter the old Greek plan ; but this having but little variety, could not easily admit of any change. And a Grecian colonnade being of itself a most perfect form, we cannot well conceive how anything should be taken from it or added ‘to it without injury; at least, to do so would require a hand noless dexter- ous than that by which it was originally designed. It is not, therefore, wonderful, that our artists, employing Grecian architecture for new purposes, and introducing without cere- mony forms unknown to the Greeks, should produce works devoid of those beauties for which their’s are so highly dis- tinguished. “ The greatest detriment seems to have been occasioned by the introduction of windows, for which the old Greek masters had made no regular provision, but which are. indis- pensable in most of our buildings. For by thus obtruding a new form upon the old style, its unity of design must be violated. The more so, that a set of windows partake, by their form and arrangement, of the regularity of a colonnade, and consequently occasion more disturbance of the general effect, than if there had been no resemblance between them. “ The necessity among the moderns of forming edifices spacious within, has been a source of great confusion ; for the old Greek masters not having need of room, have left us no good examples of the kind, and our own artists, in pursuit of that object, have piled order upon order, and have joined together various parts in the same building, which, though each may be beautiful in itself, have no connection together, and can only deserve the name of more or less elegant pieces of patch-work. Thus Grecian architecture, though rich in ornamental details, was susceptible of little variety in the general plan. GOT 458 GOT It has therefore failed when applied to our purposes, though in the hands of the old Greek masters, and employed in the construction of works suited to the wants of that people, it has far surpassed any other style. Gothic architecture, on the other hand, with great variety of ornamental details, admitting of the greatest latitude in the general plan and dis- tribution of the parts, and being susceptible of almost any shape, is applicable to every purpose, and might be suited to the manners of every nation. “ A Gothic edifice receives and accommodates an immense multitude of people, and furnishes an unbounded supply of light in a manner which constitutes one of its principal orna- ments. And this advantage seems to belong to the Gothic exclusively ; for it does not. appear, that in any other style of architecture, a provision has been made for the provision of light in an ornamental manner. It possesses, in the highest degree, several different and seemingly incompatible qualities. When entire in all its parts, everywhere clean and fresh, and enlightened by a bright sunshine, we admire its airy lightness and lively elegance; but when clothed in a majestic veil of obscurity, or reduced to ruins and overgrown with moss and ivy, we are struck with awe by its solemn grandeur. “ It results from this comparison, that the Grecian style excels in all those qualities of elegance and grace which j depend upon the nice adjustment and masterly execution of ; details. Whereas the Gothic style, which with great truth has been compared to the genius of Shakespeare, is lively, picturesque, and sublime, qualities which are derived from the bold variety, and often from the wild irregularity, of its forms.” With this passage we naturally close our comparison; we have : stated our own opinions on the subject, and produced authorities on both sides—the reader must form his own decision. lVe now proceed to a description and arrangement of the style, but, before doing so, it will be needful to take some notice of those styles which immediately preceded it. Soon after the disruption of the Roman empire, we find architecture, lapsing into_ barbarism, still retaining strong characteristics of the previous style, but exhibiting only a clumsy imitation. The buildings of this age were but heaps of discordant parts, put together without reference to unity of design or arrange- ment. 0th of this medley arose a style, which, however barbarous it may be deemed, can still boast some title to consistency, for, by this time, architects had broken through the trammels of the old methods which had hitherto fettered them. The style, known by some under the general title of Romanesque, and by others divided according to some marked peculiarity, or to the countries in which it was adopted, into Byzantine, Lombardic, and Norman, was the immediate precursor of the Gothic or Pointed style. It differs essen- tially from the Roman method in many respects, and presents us with several new principles, amongst which may be enu- merated the entire disuse of the entablature, the arches springing directly from the capital of the pier or column ; the total disregard of classic proportions, and an unusual variety and license in this respect, some columns being oftheaverage height of the Classic orders, others much stunted, and others again Mr. Rickman, to whom we are so much indebted for exceedingly extended, more especially those attached to walls or piers, which become little better than vertical mouldings , the practice of including two or more arched openings under one common arch ; and some few other particulars, which it is not necessary to mention. We give the following descrip- tion of the buildings of the period to which we allude, as laid down by one of the writers already quoted. It will be seen to differ, in some respects, from our own account, but this may arise from his more especially alluding to some particular class of buildings, or because he was desirous of making a marked distinction between the erections of this style, and of that which followed it, the Gothic. He gives notice of some particulars which we have omitted. “The arches,” he says, “are round; one supported on pillars retaining traces of the Classical proportions ; the pilas- ters, cornices, and entablatures have a correspondence and similarity with those of Classical architecture ; there is a pre- valence of rectangular faces and square-edged projections; the openings in walls are small, and subordinate to the sur- faces in which they appear, the members of the architecture are massive and heavy; very limited in kind and repetition ; the enrichments being introduced rather by sculpturing sur- faces, than by multiplying and extending the component parts. There is in this style a predominance of horizontal lines, or at least no predominance and elongation of vertical ones. For instance, the pillars are not prolonged in corres— ponding mouldings along the arches ; the walls have no pro- minent buttresses, and are generally terminated by a strong horizontal tablet or cornice." The style, although an approach in that direction, differs in many material points from the later Gothic; but as we have occasion to notice the main features of distinction between the Roman and Gothic modes of building, and have also noticed the differences between the former and the Romanesque styles, we do not deem it necessary to institute a detailed comparison between the intermediate and Gothic systems. Sir Christopher “'ren takes notice of the variations of the two extreme styles, and although his deductions as to questions of merit cannot justly be assented to, his compa- rison as to principles is, for the most part, correct, he says: “ In this they essentially differed from the Roman way, who laid all their mouldings horizontally, which made the best perspective; the Gothic way, on the contrary, carried all their mouldings perpendicularly ; so that the ground-work being settled, they had nothing else to do but to spire all up as they could. Thus they made their pillars a bundle of little tori, which they divided into more when they came to the roof, and these tori split into many small ones, and, traversing one another, gave occasion to the tracery work, as they call it. They used the sharp-headed arch, which would rise with little centering, required lighter key- stones and less butment, and yet would bear another row of doubled arches, rising from the key-stone, by the diversify- ing of which they erected eminent structures, such as the steeples of Vienna, Strasburg, and many others.” his researches on this subject, gives the following more detailed comparison in a tabular form :— Grecian. The general running lilies are horizontal. Arches not necessary. An entablature absolutely necessary, consisting always of two, and mostly of three, distinct parts, having a close relation to, and its character and ornaments determined by, the columns. English The general running lines are vertical. Arches a really fundamental principle, and no pure English building or ornament can be composed without them. No such thing as an entablature composed of parts; ani what is called a cornice bears no real relation to the shafts which may be in the same buildino. GOT 459 GOT Grecian. The columns can support nothing but an entablature, and no arch can spring directly from a column. A flat column may be called a pilaster, which may be used as a column. The arch must spring from a horizontal line. Columns the supporters of the entablature. No projections like buttresses, and all projections stopped by horizontal lines. Arrangement of pediment fixed. Openings limited by the proportions of the column. 3 Regularity of composition on each side of a centre necessary. Cannot form good steeples, because they must resemble un- connected buildings piled on each other. English. The shafts can only support an arched moulding, and in no case an horizontal line. Nothing analogous to a pilaster; every flat ornamented pro- jecting surface is either a series of panels or a buttress. No horizontal line necessary, and never any but the small cap of a shaft. Shaft bears nothing, and is only ornamental, and the round pier still a pier. Buttresses essential parts, and stop horizontal lines. Pediment only an ornamented end-wall, and may be of almost any pitch. Openings almost unlimited. Regularity of composition seldom found, and variety of orna- ment universal. From its vertical, lines may be carried to any practicable height with almost increasing beauty. Mr. Willis, in the annexed table, treats the subject in a somewhat different form, referring rather to rules of principles, than details of practice :— Classz'cal styles. Different planes of decoration avoided, and never exceeding two in an entire composition. Superincumbent weights united as far as possible, by resting on the horizontal cornice, which combines them into one mass. Arch, foreign to this style, and when introduced its diagonal pressure excluded from the decoration. Artifices of construction concealed, as impairing the simpli- city of effect. Chamfered surfaces inadmissible, and mouldings can only stop against a surface perpendicular to their course. Panels mere superficial ornaments. Elsewhere he adds :— “ These decorative features differ in many respects from the Classical, but the leading principle is to be found in the increased multiplicity of parts, and in a system which affected ‘ to support them all independently, arranging them in groups, in opposition to the Classical scheme, in which the parts are . simple, and bound together by the dominant cornice.” “ It is suggested to me by a friend,” says the Rev. W. Whe- ‘ Well, author of Architectural Notes on German Churches, “that this distinctive principle of construction in the Gothic architecture, appears to be the admission of oblique pres- sures and inclined lines of support; in Greek architecture, ‘ the whole edifice consists of horizontal, masses reposing on vertical props. In Gothic buildings, on the contrary, the pointed arch is always to be considered as formed by two ‘ sides, leaning against each other at the top, and pressing out- ward at their lower ends. The eye recognizes this statical condition in the leading lines of the edifice, and requires the details to conform to it. We have thus in the Grecian buildings nothing but rectangular forms and spaces, horizontal lines with vertical ones subordinate to them. The pediment is one mass with its horizontal cornice, and does not violate this rule. Arches, when they occur, are either subordinate ; parts, or mark the transition style, in which the integrity of the principle is no longer preserved. In Gothic works, on the other hand, the arch is an indispensable and governing feature; it has pillars to support its vertical° and buttresses M iddle-Age styles. Dififerent planes of decoration placed behind each other to any number, and in every possible degree of variety, even in a single member, as in an arch. Superincumbent weights divided into as many parts as pos- sible, and then given to independent props. Arch, the essential feature ; its diagonal pressures studiously manifested, and the rest of the composition harmonized with them by other inclined lines. Every artifice of construction displayed. Chamfered surfaces universal; mouldings are applied to them, and may die against them or any other surface at any angle. Panels are apertures between the parts of the decorative frame of the building. to resist its lateral pressure; its summit may be carried upwards indefinitely, by thejoint thrust of its two sides. All the parts agree in this character of infinite upward extension, with an inclination or flexure to allow of their meeting at top ; and they obviously require, and depend on pressures acting obliquely.” He adds the following particulars in a more tangible and systematic form. “ l. The arch is essential, the entablature is not, and the columns support arches instead of entablatures. “2. There are any number of planes of decoration one behind the other. When we have in this way several arches under one, we are led, as Mr. Willis has shown, to tracery ; when we have arches of different forms one under another, we are led to foliation. “ 3. The weights are divided into as many parts as possible, and these are given to independent props ; whence we have, among other results, clustered piers and pillars. “4. The diagonal pressures of the arch are displayed, whence we have buttresses and pinnacles. “5. And, generally, the running and dominant lines are vertical in this style, as they were horizontal in the ancient style}: the characteristic forms of the one being horizontal, reposmg, definite; of the other, vertical, aspiring, indefi- nite.” We do not feel it incumbent upon us to add anything to the above, the subject having been fully treated of by each GOT 460 GOT Writer, the difference of treatment which may have been noticed, arising from the fact, that some of the writers have leoked at the grand principles of the two styles, while the others have confined themselves to a comparison of the results of such principles, as applied in practice. Having thus given a general description of the Gothic style, and its main characteristics, as distinguished from the Classical and succeeding modes of building, we will now pro- ‘ ceed, in order to give a more detailed account of it as a dis- ; tinct style, without any reference to other systems. In order to do this, it will be requisite to adopt some systematic arrangement in connecting and subdividing the various examples, so as to arrive at some clear notion of the rules which guided the Mediatval architects in the erection of their buildings; and in doing this, we shall confine ourselves to the _ methods usually employed, not only because they are well established, but further, because they have been determined upon with great judgment. Amongst the earlier writers, there does not seem to have been much attention given to this part of the subject; Warton, however, in his tract, attempts a classification, in which he thus distributes the different varieties :—In the first division, which he denominates Gothic Saxon, as not fully entitled to the name of Gothic, but having a decided tendency to that style, he places Salisbury Cathedral, and gives the thirteenth cen- tury as the epoch of that division. The next division, which he terms Absolute Gothic, he extends over the fourteenth and first half of the fifteenth century ; he lays down as the characteristic feature, the ramification of the decoration in the window-heads, and gives as an example, the body of Winchester Cathedral. To the third division he gives a duration of only forty years, from A.D. 1441, to 1480, at which latter period he places the commencement of the Florid Gothic, the third division having the title of Orna- mental Gothic; of the latter he gives King’s College Chapel, as a specimen ; and of the former, the chapels of St. George, Windsor, and of Henry VIL, Westminster. Mr. Dallaway arranges the styles as follows :— A. D. During the reigns of Semi or Mixed Norman... 1170—1220 Henry 11., Richard I., &John Lancet-arch Gothic ...... 1220—1300 Henry 111., & Edward I. Transition or Pure Gothic 1300—1400 Ed‘Yard 1" II" 8‘ “I" 5‘ Richard II. Decorated Gothic ............ 1400—1460 Henry IV., V., 85 VI. Tudor or Florid Gothic 1460—1540 Edward IV., to Henry VIII. But the arrangement which most modern writers have fol- lowed, is that of Rickman, which is more simple, consisting of only three divisions, viz. :— A. D. Early English ............... 1189—1307 Decorated English ......... 1307—1377 Perpendicular English ...... 1377—1630 Mr. Bloxam subdivides the Early English into two dis- tinct styles, and in this he agrees with Mr. Dallaway, but he names the earliest division Semi- or Mixed Norman, and the later Early English. He also subdivides the period allotted by Rickman to the Perpendicular style, restricting that title to those examples erected before A.D. 1540, and to the later buildings applying the term Debased. Others again have retained the tripartite division of Rick- man, but have used other titles, denominating the first divi- sion First Pointed, the second Middle Pointed, and the last Third Pointed. The difliculty in classifying the examples of this style arises mainly from the gradual development of each particular dunsion, the one merging into the other by such imperceptible degrees, that it is difficult to determine where the one com- mences and the other ends, although when each style is seen in its matured and perfect form, it is readily distinguishable from its neighbour. The most prominent characteristics of each style are to be seen in the windows, where the distinc- tion is usually very manifest; the shape of the arches also, forms another principal feature by which the date of a build- ing may be to a certain degree determined, although not very accurately, for the same shaped arches are used in different styles. Perhaps the most certain distinctive marks are to be observed in the mouldings and matters of detail ; and these, taken together with the more prominent features, will in general lead to a tolerably accurate decision. We shall con- sider the peculiarities of each style in a systematic and detailed form, dividing a building into its several component parts, and comparing them, as it were, analytically. Before entering on this task, however, we deem it advisable to refer to the nomenclature and system of classification in the des- 5 cription of particular buildings, recommended by Mr. Willis ; so that should any of his terms occur in the following pages, 1 they may be correctly understood. We must recommend them for adoption, as afl’ording, for the most part, a simple, ' intelligible, and systematic mode of arrangement. In the description of a. building, he advises that one bay of the interior should be taken as an example ; divided into its several parts, and each of these treated fully and syste- matically. This, with a specification of the number of bays, will form a description, generally speaking, of the main portion of the building, unless any differences occur in the other bays, and in such case it will be requisite of course to note the variation. The same course is to be pursued on the exterior of the building, but here it will be requisite to note, in a more especial manner, the arrangement and decoration of the principal facades, as also of the towers and spires, if there be any, and of any other similar addition. The following are some of the principal terms employed by him in his nomenclature. Impost, the line or surface of common section between the arch and the support upon which it rests ; not, as hereto- fore explained, the mouldings or capital from which the arch springs, but the plane upon which the arch and pier meet. Continuous imposts, those in which the mouldings of the arch are continued without interruption, to the ground. Discontinuous imposts, where the mouldings of the arch die into the pier without any band of mouldings. Corbelled imposts, where the mouldings of the arch spring from a corbel without being continued to the ground. Arches he divides into simple and compound, the latter term being applied to such as consist of several different sur- faces projecting one beyond another, or such as may be resolved into a number of concentric archways successively placed within and behind each other. Shafled archways, are those in which the horizontal sec- tion of the shaft differs from that of the arch. Banded archways, those in which the horizontal sections of the pier and those of the arch coincide, but which have , impost mouldings or capitals. Shafts are divided as follows :— Vaulting shafts, those which sustain the ribs of vaulting. Bearing shafts, those which sustain the whole super-incum- bent weight. Sub-shafts, such as sustain arches of which the upper side is united to the soflit of the next arch or wall. Face shafts, such as sustain arches of which the back only is united to the wall, and which appear as though placed upon the face of the wall. Edge shafts, those which support arches united by their GOT 461 GOT sides and back to the nearest wall or arch, so as to appear to support the edge only. Nook shafts, are similar in plan to edge shafts, but the rib difi'ers from an edge—rib in not being united to the con- tiguous wall, but, like the shaft, nestled into the re-entering angle formed by the side and face of the contiguous arches. The same terms are applied to the arches which are sus- tained respectively by the above-named piers ; thus we have sub-arches, face arches, 8w. Shafts which sustain vaulting ribs are termed by Mr. Whewell Building pillars ; and com- pound piers, pilaster masses. When an arch is indented with foils or cusps, it is said to be foiled, but when it has another foiled arch below the simple one, it is said to be foliated. Thus, in describing an archway, it is first designated as simple or compound, and, if compound, it is described as consisting of so many orders, according to the number of arches it consists of, or, in other words, according to the number of the different soffits or projections, and thereupon each order is described separately in reference to the nature of the impost, whether continuous or discontinuous, as to the position of the shafts and arches, as sub-shafts, face shafts, &c., and so on, in accordance with the nomenclature above given. Mr. Whewell'describes the arches of a vault as longi- tudinal, transverse, and diagonal, the first term being applied to those running in the direction of the length of the build- ing; the second, those carried at right angles to the longitu- dinal ; and the last, to those carried diagonally, intersecting each other at the centre, and connecting the extreme angles of the severy. Vaulting is also described as quadripartite, sexpartite, octo- partz'te, &c., according to the number of cells contained in each bay. Mr. Willis divides the intersections of vaults into grains and ridges, the former term being applied to those forming an external angle or edge, and the latter to those forming an internal angle or nook. Hence we have groin ribs, ridge ribs, and surface ribs, the last expression applying to those spread over the surfaces of the vaulting cells. It will be further necessary ere proceeding to the parti- cular description of the styles, to give some account of the various kinds of arches employed in Gothic buildings. This is especially necessary, as the arch forms a very strong cha- racteristic of the style, and is of very great assistance in deciding, by its shape and formation, the period to which any particular example may belong. The arches in use in Mediaeval buildings, are the triangular, circular, and pointed. Of these, the first, composed of two straight lines inclined towards each other, and forming two sides of a triangle, are almost peculiar to the Saxon style, but are occasionally, though rarely, found at a later period; the second, the outline of which consists of a curve of con- stant curvature, or some portion of a circle, may be divided into three difi'crent kinds, according to the porportion of the circle which it includes. The most simple of these three kinds, and that which is the more frequently used, is the semi-circular, comprising one half of the circle, the centre of which is in the springng line of the arch. Thisform was in general use from the time of its introduction by the Romans, until the establishment of the Gothic style, from which it was almost discarded; some few instances are, however, still to be found, in exam- ples posterior to that period. The horse—shoe arch, as it is called, containing a larger portion than the half of the circumference, and having the centre of the circle above the spring-line, is of very rare 6 B occurrence at any period. The segmental, on the contrary, which contains a portion of a circle only, and which springs above its centre, is of occasional employment at every period, more especially as an arch of construction, but also in aper- tures, as doors and windows. There is yet another method of using the semi-circular arch, by stilting it on uprights, so that the curve of the arch is continued downwards in a straight line below the springing of the course; this is found more especially in the pre-Gothic styles. Of the Pointed arch, which is characteristic of the style, there are many varieties. In the first place, they divide themselves into two-centred and four-centred arches, of the former of which there are at least three descriptions; the Lancet, the Equilateral, and the Obtuse. The Lancet consists of two segments, the centres of which fall outside the arch, the radius being of greater length than the span : it may be described about an acute—angled triangle. The equilateral has the centres of the segments on the oppo- site extremities of the span, the radii of the circles therefore being equal to the span of the arch; it maybe described about an equilateral triangle. In the obtuse arch, the cen- tres of the segments fall within the arch, and has therefore the radii less than the span of the arch ; it may be described about an obtuse-angled triangle. The four-centred arch, which is also named the Tudor arch, from the dynasty during which it was in use, is described from two centres on either side, the one being ,on a level with the springing, and the other at a considerable distance below it, the curves of lesser curvature, or those described with the longer radius, meeting at a point, and thus leaving the arch still pointed. There is another kind of arch termed the ogee, each side of which consists of a curve of double curvature, the lower curve being concave on its under side, and having its centre on a level with the spring, and the upper convex, with the centre on a level with the apex. There yet remains to be noticed a more ornamental kind of arch, which is by no means uncommon, and is what is termed a foiled—or, to designate it still more closely—a tre- foiled arch. The appellation arises from the shape or out- line, which is that of a trefoil, or rather of a semi-quatrefoil. There are two kinds of these; the round-headed trefoil, in which the curve between the cusps is a semi-circle, and the pointed trefoil, in which the same curve is composed of seg- ments less than a semi-circle. There are also what are termed square-headed trefoil arches, in which the centre compart- ment, instead of being circular, is square or rectangular, leaving the side-ones still circular. Such are the arches most frequently applied in Gothic buildings; there are some few other varieties, but they are of so rare occurrence, that it is scarcely worth while taking notice of them. But to return to the classification and description of the various styles ; the first of which, the Early English, dates from A.D. 1180 to 1300, including the reigns of Henry 11., Richard 1., John, Henry III., and Edward I., may be called, in general terms, the style of the thirteenth century. The architecture of this period is exceedingly beautiful and chaste, simple and elegant in design, and excellent and delicate in execution, equally applicable to the modest village church, and the noble abbey or cathedral, remarkable in the one for its unobtrusive simplicity, and, in the other, for its solemn and majestic grandeur. In describing this and the succeeding styles, we shall follow the method commenced by Rickman, and adopted by most of the later writers, of considering them in detail; that is to say, we shall select the most important of the component parts of a building, and describe them separately as to their character and treatment in each style. We shall arrange these parts and their descriptions in the following manner: Arc/ms; next their supports, Piers, which we subdivide into Shaft, Capital, and Base; then Madows, Doorwags, But- tresses, Parapets, Roofs, and so forth, including Towers, Spires, and decorative features, such as mouldings, paterce, foliage, and other sculpture. Arches. The arches principally in vogue at this period, were acutely pointed, either lancet or equilateral, the former being most prevalent in the larger structures; in which, however, the latter was not unfrequent, as may be seen at Salisbury cathedral, where it is more frequent than any other shape. It is, however, a rule that the arches are compara— tively more acutely pointed in larger churches and cathedrals, and accordingly we find the obtuse-pointed arch most exten- sively used in small parish churches. The semi-circular arch was not entirely out of use at this period, as we find it fre- quently combined with the pointed, two or more of which are sometimes included under one of the former shape, as at Whitby Abbey, and in other examples. There are also not a few instances in which the semi-circular form is used alone, and sometimes treated in a similar manner as regards decora- tion, to those of a later date. Segmental arches were likewise in use. not only as constructive arches, but also as coverings for apertures, and more especially doorways. The soflits of the arches were, in the more magnificent examples, richly moulded with a series of projecting rolls with deep hollows intervening, but in smaller churches they were for the most part merely cut in recession, so as to ‘ present two or more surfaces, having the angles of each pro- jection plainly and broadly chamfered. Piers. In large edifices the shafts of the piers were often composed of a series of pillars clustered together in various forms, to the number of four and upwards. Sometimes these shafts were attached to each other, but they were frequently detached, consisting of amassive central pier, usually circular, but sometimes octagonal or square, and surrounded by four or more slender pillars, entirely detached from each other and the central shaft, except at the base and capital, and occasionally at one or two points in the height of the shaft, where they were connected by narrow bands or annulets of mouldings. These annulets are used also in the other kinds of shafts, and are cha- racteristic of the style. The smaller pillars, when detached, are often constructed of a more costly material than the other parts of the shaft, being sometimes of Purbeck marble, and polished. The same arrangement of central shaft, with four sur- rounding pillars, is to be found with the pillars attached to the main pier; specimens of both kinds exist at Westminster Abbey. The pillars are usually simple rounds, but some- times they have a narrow vertical fillet. In smaller churches, the shafts were a simple circle or octagon in plan; more frequently the former, and are distin- guishable from those of a later date, only by the details of base and capital. It frequently happens that the shafts of piers in the same edifice differ in form, and they are frequently so arranged as to have circular and octagonal forms alternately in the same arcade. The capitals of this period are usually bell-shaped, and are often, especially in the smaller examples, quite plain, with the exception of a necking, and one or two mouldings beneath the abacus. In such cases, they are distinguished from the capitals of later styles only by their mouldings, which consist of rounds and deep hollows ; the bell is generally very deeply undercut, which is a strong character- istic of the style. The mouldings are generally plain and few but sometimes the nail-head or dog-tooth ornament is 462 GOT inserted between them. In the larger and richer specimens, ; the bell is covered with foliage, which springing from the necking, is curled over with a graceful curve beneath the upper mouldings. The foliage is somewhat stiff in appear- ance, but of a bold and striking character, and is sometimes undercut to such an extent as to be partially detached from the bell; it consists for the most part of a variety of adapta~ , tions of the trefoil leaf, and we rarely meet figures of any kind. In clustered piers, the capitals follow the form of the pier; as also in the single shaft they adopt the same form, with the exception that the multangular shaft has not unfre- quently a circular capital. The abacus is either circular or ‘ octagonal, and sometimes square in plan, and consists of ‘ mouldings varying in number, and made up of deep hollows with overhanging rounds, which are either plain or filleted. The base consists of a series of mouldings, frequently of a deep hollow and fillet between two rounds, of which the lower one projects beyond the other; it is also often similar to the Attic base, with the exception that the proportions differ, the upper torus being greatly reduced, and the con- cave mouldings deeply undercut. The base most frequently stands upon a single or double plinth, which in the earlier examples is square, having the angle covered with a leaf which springs from the mouldings of the base, and falls over the plinth. In later specimens, the plinth assumes the form of the base, and is either circular or polygonal: it is sometimes of great height; having a second series of mould- ings below the base. The windows of ' this style are for the most part long and : narrow, with acutely-pointed heads. The earliest and simplest . form is that of a long narrow single light, with arched head, i and without moulding of any kind either internally or exter~ ‘ nally, the exterior angle being merely chamfered, and the interior widely splayed. Such windows were sometimes without any weather-moulding, but occasionally a string- ‘ course was carried from one window to another, at a level ‘ with the springing of the head, and then lifted over it, adopting its form, and carried on to the next aperture. In later times such windows appear in groups of two, three, or more, the first being commonly found in the side-walls of churches, and the latter being almost confined to the east end, except in very large buildings, where it is found in all ‘ positions. The separate lights of these groups are generally placed at some distance apart on the exterior, so as scarcely to ‘appear as belonging to the same window; but in the , interior, owing to the great splay given to each light, , the distance between them appears inconsiderable, giving *' them the appearance of a single compound window. This ,1 idea is sometimes manifested on the outside by the two or more lights being contained under one drip-stone. The . glass is inserted near the outer face of the wall, which circumstance, taken in connection with the great thickness of the walls, accounts for the difference of the size of the , aperture on the two faces of the wall. This arrange- ; ment was in all probability adopted for the purpose of , obtaining a larger proportion of light, or rather spreading ' what they obtained over a larger portion of the interior. The arches of the splay on the interior, seldom follow the form of the window heads on the exterior, but spring from a lower level, and are almost always chamfered or moulded at their angles or edges; the mouldings projecting below the soffit, and either dying into the jamb, or resting upon corhels ; at the spring of the arch. ‘ In windows of three lights, the centre one is almost always of a greater length than those at the side, its head rising considerably above theirs, so as to preserve the arched form in the entire window. “7e occasionally meet with GOT 463 windows of four lights, the two centre ones rising above the others, but more frequently with others of five or seven lights rising in gradation to the centre one, which is higher than the rest. These large windows have a very beautiful effect, occupying as they do nearly the whole of the east wall. In all the above cases the jambs are sometimes plain, being merely chamfered and splayed as before described; but at other times we find them decorated with small detached pillars, with moulded arches. This is most frequent in the interior, where the shafts are not unusually of polished marble, but such decoration is also to be met with on the exterior, especially in large buildings. In windows of a . late date, the arched heads are sometimes foiled. Before the termination of this style, windows of a some- what difl‘erent appearance were introduced, which originated thus :—In cases where windows of more than one light were employed, it was, as.has been mentioned, a not unusual prac- tice to include them under one arch, the head of which was left plain; but in the course of time this space began to be pierced with another small light in the form of a circle or trefoil, which at once relieved the blank space beneath the arch, and admitted a greater amount of light. At Brown- ; sover church, Warwickshire, there is a very simple arrange- ‘ sides of the larger connecting arch. ment of this kind, in which the third light is somewhat in the shape of a diamond placed between the arched heads of ‘ the principal lights, to which two sides of the figure are parallel, the two remaining sides being parallel to the curved In the earlier specimens 1 of this class, the openings are still chamfered only, with , shafts sometimes on the inside; but at a later period the f lights were brought closer together, and were divided by ‘ slender shafts, and the arches and ornamental lights in the i head moulded and foliated. We have many beautiful examples of windows of three lights, with three foliated circles in the head, and sometimes of five or more lights similarly decorated. The windows of the Chapter—house, York, are most beautiful specimens of five lights, which are arranged in two pairs of ' two lights each, connected under one arched head containing i in the extreme. a foliated circle ; the central light being also surmounted by an arch containing a trefoil. The whole of these are enclosed under the principal arch, which contains above the lights, three large foliated circles. The effect of this design is grand The cast window of Lincoln Cathedral is another magnificent example: it contains eight lights in all, which are divided into two compartments containing four lights each, with arched heads filled with foliated circles, whilst: the principal head is filled with one large circle con- taining seven of a smaller size. This is probably the largest window of the kind we possess. Circular or rose-windows are not unfrequent in this style, and are divided into compartments by slender shafts with capitals, &c., radiating from the centre, and sustaining at the circumference small arches, which are usually trefoiled. Smaller windows of this form are either left plain, foiled, or filled with quatrefoils, Ste. Windows of triangular shape are also found, as well as a peculiar sort of window in the form of what is called the Vesica Piscis; but these are always small, and placed in subordinate situations, such as t. e gables or the clere-stories of parish churches. Small squav‘e- headed windows are sometimes employed, but only in towns and similar situations. The dripstones follow the form of the arch, and usually terminate on a projecting head or knob of foliage, but are sometimes returned horizontally along the wall; the moulding has a deep hollow on the under side to prevent the rain running over it. A string-course is generally carried along the exter- nal and internal walls, immediately below the windows. The doorways of this period are most frequently furnished with nook-shafts in the jambs, which are, for the most part, detached from the walls, except at the capitals and bases. The more simple doorways have only one shaft on either side, supporting an archivolt of a few bold mouldings, the . whole surmounted by a simple hood-moulding conforming to the shape of the arch, and terminating in a head or bunch ‘ of foliage, or returned in a horizontal direction along the walls. More elaborate specimens have two or more shafts on either side, and a greater number of mouldings in the arch. The jamb is cut in recession to receive the shafts, and the spaces between the mouldings or shafts are frequently filled up with the dog-tooth ornament or a running pattern of foliage. The arched heads of doorways are most fre- quently pointed, but not rarely round-pointed or square- headed trefoil. The doorways of the larger structures are mostly divided into two arched apertures by a simple or clustered shaft, which is often of polished marble, and furnished with a richly moulded or foliaged capital. The arches are also foiled or foliated, and enclosed under one main arch, the space between being perforated in circles, trefoils, &c., and sometimes filled with groups of sculpture. The doors are either plain or covered with iron scroll- work, sometimes proceeding from the hinges, which are often of a very ornamental character, but at other times nearly plain. In some cases this scroll-work is very elegant, and . completely covers the door. ? The buttresses of this period are, for the most part, of a simple character, consisting, in smaller churches, of two or more stages, the lowermost projecting beyond the other, each . set—off being sloped at the top so as to carry off the rain. The buttress finishes at the top under the parapet, or eaves, with a simple slope similar to that of the other projections. . In larger buildings, the buttress is frequently finished with ‘s a triangular head or gablet, but is seldom carried above the parapet, except where stone vaulting is employed, and, in such cases, it is covered with a pinnacle which is either plain or enriched with blank arcades. Sometimes each set-off is . finished with a triangular head, and, at others, the water- 1 table is Continued round three sides of the buttress. The . edges of such buttresses are often chamfered, or the angles ornamented with slender shafts ; occasionally, too, the face is formed into a niche to contain a statue. There is a peculiarity about the position of buttresses of 1 this period, which is often the only means of distinguishing , them from those of later date; at the angles of buildings 2 they are not placed diagonally, but at right angles to the : wall, so that whereas in this style we require two buttresses 3 at each angle, placed at right angles to each other and to the , adjoining walls, in the following styles we need but one. Flying-buttresses, which are arches springing from the wall-buttresses over the roof to the clere-story, were now first introduced, and are common in all large buildings with vaulted roofs. They are of simple design. with a plain cap- ping and archivolt. l Parapets are not frequent in small buildings, the roof being carried over the walls with dripping eaves; but when ' they occur, they are of a simple character, finished at the 2‘ top with a moulded capping, and supported underneath by ‘ a corbel-table, which consists of a series of bIOcks moulded or sculptured in the form of heads or masks, and sometimes of foliage ; these are often connected together by trefoiled, or other arches. The projection of the parapet above the corbel-table is often merely chamfered, but in the richer spe- i cimens moulded, and sometimes decorated with the dog- ‘ tooth ornament. In cathedrals, we occasionally see the l GOT 464 (iOT parapet relieved by panelling, as at Salisbury, where the panels a are of the form of trefoiled arches, and sometimes pierced with trefoils, &c. Battlements are not often found in this style. Pinnacles, which rise above the general level of the build- ings, are often mere continuations of the rectangular buttress capped with simple pyramids of square or polygonal bases, without any ornamentation, but in more costly examples the latter form is chiefly employed for the entire pinnacle, and is enriched with one or more series of blank arcades, which give them a light and elegant appearance ; in some instances, the arcades are perforated. , The Roof; are of a high pitch, the angle at the apex coin- ciding mostly with that of an equilateral triangle, but some- times they are more depressed. In small buildings, as we have above stated, they not unfrequently overhang the walls, but in larger ones they are stopped by the parapet. In the V interior of large churches and cathedrals the roof is gene- rally vaulted, the vaulting being of the simplest kind, or that which has been described as quadripartite, that is, Consisting of four cells in each bay, and being divided only by transverse and diagonal ribs, not having a longitudinal one along the apex, as in later examples. The mouldings of the ribs consist generally of rounds plain or filleted, and deep hollows, and are covered at their intersection by bosses of sculptured foliage. The wooden roofs of the period were like all Gothic roofs, except those of a very late date, open to the ridge, and un— ceiled, so as to afford a view of the timbers from the body of the building. In recent times, however, most of these open roofs have been excluded from view by the intervention of a modern ceiling, and it is seldom they are brought to light, except on the occasion of an extensive repair or restoration of the entire fabric. This fact will account for the paucity of information respecting this portion of a building, a want which is more particularly felt in respect of the early styles; so much so, indeed, that we scarcely know for certainty how to distinguish the Early English from the Decorated exam- ples, and it is probable that there is no very marked difi‘er- ence between them, although it is usual to make a distinction in treatises of this nature. The most simple roofs, which we may attribute as more particularly belonging to this period, consist only of common rafters placed at short distances apart, without the interven- tion of trussed principals, and have a very good effect; owing to the lengthened perspective produced by the frequent repe- tition of the same parts. The rafters are very often secured by means of collar beams and braces, or by intersecting braces Springing from purlins about half-way up the rafters, and rising to a higher purlin on the opposite side of the roof. These two systems are very common and simple, but not with cross braces intersecting at a point usually above it; and sometimes, in addition to these, we have a strut below all resting upon the wall-plate, so that the entire outline of the under side presents the appearance of a polygonal arch. In some instances, the braces are curved in the form of a pointed arch. Where the roof is carried over both nave and aisles, the portion over the nave is of a similar description to those above mentioned, and in that over the aisles, the side next the nave is supported by short beams or struts abutting against the nave walls ; this is also common in lean-to roofs. Although the practice of adopting only common rafters may be more usual, the introduction of principals is not unfre- quently resorted to, which, in such instances, follow the same constructive form as the common rafters before referred to, g the common rafters, however, are of a more simple character l than the principals. unfrequently the two were united, so as to have a collar beam, Tie-beams do not seem to have been of frequent occur- rence, and king-posts are still less usual, their absence being very readily accounted for by their necessary weight in roofs of a high pitch; when tie-beams are employed, they are sometimes supported underneath by sloping braces abutting against the wall, and this method removes, in a great degree, the objection made against ties, of destroying the vertical tendency of the general design. The timbers of the roof are often plain or chamfered on the edges, but in the richer specimens they are moulded, or at least the main beams, such as principals, purlins, wall plates, and such like, but the common rafters are mostly plain. The Towers of the period are of various proportions, but generally bear a substantial, massive appearance; they are almost always square on plan, but sometimes octagonal, and in a few instances square below and octagonal above. They are strengthened at the angles by buttresses, two at each corner, projecting at right angles to the walls, which generally terminate a stage or more below the top; projecting stair- turrets are not uncommon, but are sometimes concealed by the buttresses. The tower is divided into stages by set-offs or otherwise, of which the upper ones are frequently decorated with blank arcades, a few being perforated to serve as windows; some- times the faces are perfectly plain, with the eXCeption of the apertures for windows, which consist of one or more light, the most important being placed in the upper stories. Here, in smaller churches, we generally have a window of two lights divided by a shaft, and having a foiled aperture under the arched head, but in larger churches we find windows of three lights, or triplets, but of equal height; in the lower stories we usually find single lancets. These towers are occasionally covered by a low pyramidal or a gable roof, but more frequently by a lofty spire of stone or wood, although for the most part less acutely pointed than those of a later style. The spires are almost invariably broach-spires, that is to say, such as spring directly from the roof, without the intervention of a parapet; their plan is almost always octagonal, four of the sides sloping down to the eaves, but the four corner ones leaving a trian- gular space at each angle of the tower uncovered, which is occupied either by a pinnacle, or more frequently by a trian- gular pyramid, which connects the angles of the tower with the angular faces of the spire. Towards the lower part of the spire, the cardinal sides are furnished with windows, which rise perpendicularly, so as to give a projection at the top which is covered with a gable-head, and sometimes we have two or more tiers of such windows placed often on alternate sides of the spire. The whole is surmounted by a finial and vane. The cornice below the eaves is frequently ornamented with the dog-tooth moulding, or a running pattern, and is often supported upon a bold corbel-table. A very elegant substitute for tower and spire, is employed in small churches, in the shape of a bell-gable, with one or more openings to contain the bells. The [Mouldings of the style have no great variety of form, but consist almost universally of bold rounds with deep under- cut hollows intervening, so as to produce a great amount of : shadow. The rounds are sometimes filleted with one or more fillets, but this is not usually the case with the smaller mouldings. Where several mouldings are connected together, there is considerable difference of size, the entire series being generally divided into a few distinct portions by mouldings of a large size, which are often tilleted, and the intermediate spaces filled up by smaller plain mouldings. In such cases, it will be generally found that the mouldings are so arranged, SERMFNK’QRMAN AN I) "EARLY ENGLESEfi EXAEVIIPLE%a M \\\ \\\§x \\ 1," ‘1 i __l 1 J fi B4 m n. . 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GOT 465 GOT- that if a line be drawn to touch the most prominent points, it will form a succession of rectangular recesses. The large rounds are sometimes brought to a pointed edge in the middle, and the smaller ones very deeply undercut on one side: in some cases, a fillet intervenes at the junction of the round and hollows, but they mostly unite in a continuous line with- out any interruption. String-courses often consist of a plain round-moulding, or of a roll-moulding of two different curves, so as to cause the upper half to overlap the lower; sometimes “hey are mere slopes with hollow underneath. Hood—mould- ings consist for the most part of an overlapping round with deep hollow underneath. The base-mouldings are composed of a series of slopes, with sometimes a string-course mould- ing along the top, but in more elaborate works they com- prise a series of mouldings consisting of projecting and over- hanging rounds deeply undercut. The hollows of the mouldings are often filled with orna- ments peculiar to the style, of which the most usual and characteristic is that termed the dog-tooth ornament. It is a kind of pyramidal flower of four leaves, the division between the leaves being placed in the centre of each side of the pyramid ; the flower is placed in an inverted position, the base of the pyramid being placed against the hollow, with the apex projecting. This ornament varies to some extent in different examples, but always preserves the same general appearance; it is very effective on account of the deep shadow produced at the division of the leaves. They are placed in a hollow moulding, or in the edge ofajamb, either singly, with a space intervening between each two, but more frequently in close proximity to each other. Single leaves and flowers of a different character are sometimes inserted in a similar way, and sometimes a running pattern of leaves or foliage. Sculptured foliage is much used in the more costly build- ings, forming capitals, corbels, crockets, and bosses, and is usually of a stiff character, that is to say, the leaves have a crisp appearance not observable in other styles. It is very beautiful, however, and worked with much taste and freedom; although it does not present an appearance so natural or flow- ing as that employed during the next period. Amongst other varieties of foliage, the trefoil is predominant, the two lower lobes of which, and sometimes all three, are worked with a bulb or swelling in the centre, the middle lobe being fre- quently of larger size than the others. The crockets likewise are usually in the form of a trefoil- leaf, curled back like the head of a pastoral stafl'. The walls of large buildings are frequently ornamented by a series of blank archessupported on pillars. These are common, running round the base of the walls on the interior, and are employed in many other situations, both externally and internally, so much so as to become a characteristic of the style. Another method of ornamenting blank walls is by diapering, or carving them in low recession after some small and recurring pattern, frequently in the form of square leaves, as in the triforia, W estminster Abbey. chlzes Were in use at this period, but of a less elaborate character than those of succeeding styles. The figures were frequently set on small pedestals, and surmounted by a canopy consisting oftentimes of a three- or five—foiled arch with plain pedimental head; in many cases, the canopies project or bow forwards. Niches are often placed in ranges of two or more, under one common arch, and in such cases are generally separated by single shafts. . Mr. Bloxam has subdivided this style into two, the earliest of which he names the S'enzi-rVorman style. It is the same as that styled by others the Transition style, and embraces that class of buildings in which the round and pointed arches 6 C seem to be struggling for pre-eminence, and which bear evident marks of their near affinity to both systems: remark- able examples of the kind are the Church of S. Cross, and Malmesbury Abbey. The general characteristics of this division consist in the use and combination of round and pointed arches in the same building; in some instances, pointed arches are surmounted by others of the semi-circular form, in others semi-circular arches are made to intersect, and thus form pointed arches. Another characteristic is the existence of pointed arches on massive piers of Norman design. The piers are mostly Norman in character and proportion, but have their capitals often orna mented with a simple description of foliage. In other respects, the details of such buildings are for the most part Norman. Sometimes the piers are of more slender proportions, and attached to a large central pier, which is either square or round; and a still closer approximation to the Early English examples is shown in the horizontal bands surrounding the piers about midway. The soffits of arches are frequently recessed, which shows an advance upon previous examples, but the chamfer com- mon to Early English buildings is omitted, the edges being left square. T he Decorated style, Otherwise termed, in architecture, the flIiddle-poz'nted, stands next in respect of time and decoration. It had its commencement in the reign of Edward the First, and arrived at maturity during the reigns of the two succeeding Edwards, from which circumstance the name of Edwardian has some times been applied to it. It dates from 1307 to 1377, or a little later, and may be named generally the style of the fourteenth century. This period of architecture is of all others the most beautiful; it rivals the preceding in chaste- ness, while it surpasses it in richness; and at the same time is free from the extravagant and redundant ornamen- tation of the succeeding styles. The arches of this period are described from equilateral or obtuse-angled triangles, and in many instances are not easily distinguishable by their shape from those of the pre- vious style; and in smaller buildings, where the soffits are merely recessed and chamfered without mouldings, it is a diffi- cult matter to distinguish them at all; the date, however, , may usually be determined by the mouldings of the caps and bases of the piers. In larger or more costly buildings, the arches are moulded, and the distinction marked by their con- tour. The mouldings consist of rounds projecting to the extent of from one to three-quarters of the circumference, and are frequently filleted, alternating with plain soflits and faces. As arches of decoration, the trefoiled was not uncommon. Hood-moulds frequently occur, and are terminated on heads or foliage. The shafts of piers in small parish-churches are mostly of a simple circular or octagonal plan, similar to those of the preceding period, and, like the arches, are only distinguished by their capitals and bases. The alternate arrangement of the circular and octagonal piers is still adhered to. In larger buildings the piers are clustered, and consist of four or more shafts, which are in contour either half or three-quarter cylinders. They differ from Early English examples in being attached to each other,whereas the latter are detached from each other, and frequently from the central shaft. The plan of these clustered piers is often that of a lozenge, or of a. square placed diagonally; another shape is that of a quatre- foil, but many other forms are found which we cannot stop to mention. In many instances, we see four or more main shafts with smaller shafts introduced between them, and sometimes mere mouldings in the place of the Secondary f GOT ~— 406 GOT shafts; in late examples, small shafts occur, separated by a deep hollow and two fillets, a form which prevails in the succeeding style, but in Perpendicular examples the hollow is very shallow in comparison. In all the above cases vertical fillets are employed to a very large extent both upon the shafts and mouldings. In very large structures the piers are made up of a very great number of shafts. The capitals are either bell-shaped or octagonal, and in clustered pillars usually follow the general form of the pier, but sometimes are continued in one sweep all round without any regard to the contour of the shafts. They are fre- quently only moulded, the prevailing mouldings being rounds, plain or filleted, ogees and hollows, in which some ornament, such as the ball-flower, is often introduced. The mouldings are not so deeply cut as in the Early English examples. In most of the clustered, and many of the single pillars, the vase is covered with ri J1 and beautiful foliage placed hori- zontally, and consisting of very perfect and natural imita- , tations of the oak, ivy, vine, 850., very freely and delicately 1 executed. Some capitals are ornamented with sculptures of heads, figures, and such like. The abacus is either cir- cular or polygonal in plan, and its mouldings are composed of rounds, frequently with an overlap, of ogees, and hollows. We have instances of continuous imposts in this style, where the mouldings of the pier are carried round the arch without the intervention of a capital. There is great variety in the bases of this period. In plan they usually agree with the shaft, but are sometimes octagonal where the piers are circular, the mouldings follow- ing the contour of the pier, and overhanging the plinth ; in some few instances the mouldings are raised on a square plinth. The plinths are frequently double, and of consider- able height, the lower one projecting beyond the upper with a simple splay, reversed ogee, or hollow, with sometimes one or two small mouldings above. The base mouldings vary, but consist, for the most part, of reversed ogees or quarter- 1‘ounds, with the occasional insertion of one or two small rounds. In clustered columns the bases follow the general outline of the pier. The doorway/s have one or more shafts in the jambs, which differ from the Early English examples in being con- stantly engaged. These have moulded or sculptured capitals, but the jambs are filled up with mouldings, which are con- tinued round the arch without interruption. Many doorways are without pillars, being entirely composed of mouldings which are continuous with those of the architrave, and are composed of a series of quarter-round and semi-cylindrical mouldings, the former being often filleted up the face. The hollows are frequently filled up with sculptured foliage, such as the ball-flower, or a square ornament placed at intervals, and sometimes with a running pattern of ivy or vine leaves, 8w. ; occasionally we find a series of niches carried up the jamb. The doorways are not usually so much recessed as those of the previous style, and the shafts are more slender, appproxi- mating more nearly to mouldings. In large buildings the arch is mostly pointed, but in smaller examples the ogee arch is not unfrequent, and the square-headed trefoil occasional : the architrave is usually moulded. The hood-moulds are Seldom returned, but terminate in a head or knop of foliage. The arches are frequently surmounted by a triangular, or ogee canopy, which is finished with crockets and finials, and the spandrels filled with sculpture of various kinds. The doors themselves are often hung with ornamental hinges, as in the previous style, but the iron-work is of somewhat different design. In other respects the doors are mostly plain, though sometimes panelled and with tracery in the heads. The nails are often of an ornamental description, being of an hexagonal form, or made in the shape of a leaf or flower. The windows of this period are usually of a large size, and and their heads are frequently trefoiled. are divided into two or more lights by vertical mullions, but are seldom divided horizontally except in tall spire-lights, or in domestic edifices. These vertical mullions are carried up as far as the springing of the arch, and from that point branch out in various directions, interlacing and forming patterns of varied and beautiful design, known under the name of tracery. The variation from Early English practice is here distinctly marked, first in the employ- ment of mullions in the place of shafts with capitals and bases, but more prominently in the method of filling the head or arch, of the origin of which, we have taken notice above. In the earlier specimens the tracery is composed of circles, trefoils, quatrefoils, triangles, and other simple and complicated geometrical forms, arranged in various patterns, and is hence termed, geometrical tracery; but at a later period the lines assumed a more wavy or flowing appearance, and were disposed with greater freedom, such description of work being distinguished as flowing tracery. A very simple kind of window is that in which the mullions merely cross in the heads ; and another of two lights with a simple trefoil in the head. This last approximates very closely to some Early English examples, but there is another kind which bears a close resemblance to the earlier specimens or triplets, and consists merely of three lights comprised under one arch, the centre one of which is higher than the two side ones, and separated from them by mullions. The subordi- nate arches formed by the intersections of the mullions, are generally foiled, as are also the principal compartments of the tracery ; but there are some few exceptions. The heads of the windows are principally two-centred pointed arches of various proportions; but segmental arches both simple and pointed, not unfrequently occur, as also does the ogee. Square-headed windows are by no means uncom- however, are entirely devoid of tracery. Common hood- mouldings resting on masks, heads, &c., are most frequent, but pies introduced, and ornamented with crockets and finials. The mullions are most frequently simply chamfered, or in later examples slightly hollowed, but in more costly buildings each mullion is composed of a series of mouldings, set the mond-wise, and sometimes the hollows are filled up at inter— vals with some ornament peculiar to the style. In some cases we find shafts with capitals and bases still introduced, more especially against the jambs. String-courses are seldom omitted on the exterior beneath the windows. The windows are splaycd on the interior, and the inner arch is frequently of a different form to that on the exterior, its edge being Early English examples. Exeter cathedral, almost every one of them being of a dif- ferent pattern ; the most elaborate, however, and the largest, is over the west entrance. Circular windows filled with tracery are not uncommon in large structures, and are sometimes of excellent design. as Clare-stories, gables, 8w. of several lights, but there are also windows of a single light : which are of a less elongated form than the Early English, ‘ Larger windows mon, especially in subordinate parts of the building, and have ‘ their heads filled with tracery, as in the other cases ; some few, ‘ sometimes in rich examples we find pedimental and ogee cano- moulded or chamfered, similar to the practice followed in Very beautiful windows‘of this style are to be seen at ‘ Windows in the shape of squares, trefoils, quatrefoils, sphe- ‘ rical triangles, and sex-foiled circles, are common, but are of 3 small size, and are usually seen in subordinate situations, such . I? C- 111 il ((7. 11111171111 111111321111 111111111 :1 1 11‘: 11%(1310‘ 11131111“ 113111) .113XAM1“ 1111111131 ,1 E; E-== == 11 1 I111” I . .3 u‘ 55‘ -V_ 5‘ x ’V u 44;.) ‘1» HXAMP g...‘ 1? \~;r -. JEQGRATED I \CHITEC T U 1% E ‘ \ 'W A; fit 75 . . a ,§§EE V \\\\\ . ‘ X . x a . {3, 7. , Z , x g...” / . \ , ;,. .../ Led Kb; icl . -:‘ s W {3 0:‘:‘-~:‘::>~;‘ \1 A? PAN—Y; T ’SETXG COM ‘NI‘CN FRI—k - 'N'x'} A) :1“ 1. .Z. GOT 467 G01 The more simple buttresses are not easily to be distin- guished from those of other styles, consisting, as they do, of plain piers, with one or more slopes or set-offs, without any further decoration ; but in some cases they may be known from those of the Early English, by their position at the angles of buildings, where they are set diagonally. This, however, is not a very sure criterion, for some Decorated buttresses stand in the same position as those of the preceding style. In many instances the set-offs are finished with a pedimental head or gablet, which is sometimes plain, but more frequently foliated, and decorated with crockets and finials. In rich examples, the faces are often recessed for niches, which are surmounted by rich canopies, small buttresses, pinnacles, 8:0. The buttress seldom reaches above the parapet unless sur- mounted by a pinnacle, which is mostly of an elaborate description, being finished on all sides by a pedimented head similar to that above described, and the whole surmounted by an acute pyramidal top with crockets and finials. The parapet is frequently embattled with plain or moulded capping, but very often consists of a plain horizontal cap. Some horizontal examples are pierced or sunk in trefoils &c., and very often with trefoils inserted in the spaces left on either side of an undulating moulding. Corbel-tables are of rare oc- currence, but the parapet is usually finished on the under side by a cornice consisting of a roll-moulding, overlapping a deep hollow, in which are sometimes inserted ball-flowers, masks, and other ornaments. The roof still continues of a lofty pitch, but somewhat more depressed than in the previous style. The larger churches are vaulted as before, but there is some difference in the arrangement of the ribs, which are greatly increased in number. Each bay or compartment of the vaulting is intersected, not only by longitudinal, transverse, and diagonal ribs, but these again are intersected by others in a variety of ways, so as to divide the vault into a greater number of cells, a practice which gives the roof a more complicated and richer appearance. Bosses of elegant design, and excellent workman- ship, cover the intersections of the ribs, which are moulded, and the hollows frequently filled with the ball-flower ornament. The same remarks apply to the wooden roofs of this period ,_ as to those of the preceding: we have but few examples now remaining, roofs of a later period having frequently been substituted in buildings of this style. The early roofs are doubtless of much the same character as the Early English, but in later examples there are some distinctions, although it is a somewhat difficult task to decide the exact date of any. In some examples the beams are merely chamfered as before, but in many they are moulded or have their edges foiled or cusped in such a manner that the spaces between the timbers present the appearance of some description of polyfoil. Tie-beams seem to have been of frequent occur- rence in this style, and are often suspended by king-posts, which are sometimes but plain timbers, but at others assume the form of an octagonal shaft with moulded base and capital. Polygonal roofs having the timbers so disposed as to present to view a number of canted surfaces, are not unusual, they are mostly of six sides, but sometimes in later examples hep- tagonal. The principals of high-pitched roofs are frequently disposed in the form of an arch, and where tie-beams are employed, the same outline is preserved, by supporting them on curved braces, fixed to awall-piece and resting on corbels. Longitudinal braces are frequently carried from the king-post of one principal to that of the next, and are often of an arched form resting at each end on the tie-beams, and reaching to the ridge-piece at the apex, such arches being frequently foiled. A somewhat similar arrangement is adopted on the sloping sides of the roof, the purlins resting on arched purlin- braces, which stand upon the wall-plates, and are carried up 1 under the common rafters. posts and collars are employed, in others, king-posts with In some instances both king- ‘ struts on either side, and occasionally queen-posts and straining 2 pieces are introduced. A curious roof of this date is thus described by Mr. 1‘ Bloxam 2—“ In the little desecrated church of Horton, near Canterbury, is an open wooden roof, of a construction diffe- ‘ rent to those which have been described. It is divided into bays by horizontal tie-beams, with the under parts moulded, resting on the wall-plates and on vertical wall-pieces sup- ported on corbels, with a curved brace between each wall- piece and the tie-beam. From the centre of each tie—beam I rises an octagonal-shaped king-post up to about two-thirds in height of the valley of the roof, where it supports a longi- tudinal rib or beam. From the principals of the roof, at about two-fifths in height, spring plain braces, which cross ‘ diagonally just above the longitudinal rib, and rest on the ; opposite principal. beam nor apparent ridge-piece. king-post spring curved braces, both longitudinal and lateral ; Above these there is neither collar- 3 From four sides of the 1 the former support the longitudinal rib, the latter the braces ‘ which cross above it. The roof is high—pitched.” Other examples of this or a similar description occur, and the i arrangement of curved braces springing from the four sides ‘ of the king-post are not uncommon. In the richer class of roofs the spandrels formed by the intersection of the timbers are frequently filled with tracery. The general arrangement of the towers is similar to that of the previous style, the greatest differences appearing in j the apertures and decorations. The windows of the lower i stories are many of them of small dimensions, and of single 1 lights with ogee or foliated heads, and label or square hood- mould. The belfry -windows are the most important features, and are arranged singly or in pairs; they are of a large size, frequently filling up the entire story. The largest window, however, frequently occurs on the west face i of the lower story, or that above the entrance, and forms one of the general range in the interior of the church; it is often of very large dimensions and elaborate design, standing in this respect next to that in the east wall of the chancel. Blank arcades are not so much in vogue as in Early English : examples, and when used are of a form and decoration common to the period. The spires are very acutely pointed, but in some cases are very low, forming merely a low pyramidal roof to the tower: j; the latter is mostly constructed of wood, a material frequently 1 employed in the construction of the loftier kinds, which in larger structures, however, are almost universally of stone. The large spires boast a larger number of spire-lights than those of earlier date; and not only so, but they are of a more ‘ elaborate description, being capped by lofty pediments ' enriched with crockets and finials. They are also some- times divided into a number of compartments by horizontal 3 bands of panelling, and the angles of the spire enriched with i crockets running all the way up, and terminating in a large f finial. is either plain or embattled, and sometimes pierced in quatre. foils, &c., and is supported on a moulded cornice, the hollows of which are often filled with the ball-flower or some other ornament. At the angles we frequently find projecting gurgoyles in the form of animals, &c. Pinnacles of a pro- minent and elaborate character are of constant occurrence, 5 and sometimes behind them rise ornamented flying-buttresses to support the lower portion of the spire. Parapets and gutters, however, are not universal, for we not unfrequently meet with broach-spires of this period. The tower is mostly finished with a parapet, which 5 GOT 468 GOT The mouldings consist for the most part of a greater num- ber and variety of members than those of the Early English style. Rounds and hollows still prevail, but the latter are not so much undercut as before; in the earlier examples they are still deep, but grow more shallow towards the termination of the style. Quarter, half, and three-quarter rounds are most prevalent, and are often filleted and separated by small hollows; ogees, too, are of frequent occurrence, as are also ovolos and cavettos. Another undulating moulding, similar to "that in use in the next period, but of somewhat different projection, is also used, and is in appearance some- what like a double cyma, consisting of a convexity in the centre between two hollows. The roll-moulding, in which the upper half overlaps the lower, is in constant use. Rounds and hollows are sometimes separated by fillets, but frequently run into each other without any interruption. For string-courses, the overlapping roll-moulding is very common, but sometimes a simple roll or a roll filleted, or what is termed keeled, is used in its place; the latter term being applied when the roll comes to a sharp edge in the centre. These mouldings are used either separately, or with other subordinate ones ; a. hollow is not unfrequently carried underneath. Hood-moulds are formed of quarter-rounds or ogees with a hollow or plain chamfer beneath, and are seldom returned. The base-moulds consist of one or more slopes with or without a projecting edge, the whole being surmounted by a filleted or keeled round. In all the above cases the ball-flower and other ornaments are often inserted in the hollows and carettos. The leaves selected for imitation in the foliage of this period, are those of the oak, vine, ivy, fern, white-thorn, &c., which are copied with a boldness and freedom not common in previous examples. They are also more naturally disposed, and have a less stiff and formal appearance than those of any other style ; there are not so many sudden projections, and the outline is of a more gently undulating form than in the Early English specimens: in capitals, the stems are twined about in various directions, instead of rising vertically from the neck. The most usual and characteristic of the ornaments is the ball-flower, which consists of a round ball enclosed within a flower of three or four petals, the ball appearing beneath the slight opening of the petals; it is supposed by some to repre- sent a rose-bud. It is used in almost every situation, but more especially in the hollow mouldings of jambs, arches, cornices, &c., in which it is inserted at intervals. Another ornament consists of an open square flower of four leaves, with a small ornament in the centre, which is employed in the same manner as the preceding ; but a series of them is sometimes used, the flowers being placed in contact with each other, in which manner it is frequently applied as a diaper. They are sometimes introduced alternately with the ball- flower. A representation of a very beautiful ornament which occurs at Adderbury, is given by Mr. Bloxam in his manual. It bears some affinity in form to the dog-tooth moulding, and consists of four ivy leaves placed in the angles of a square, with their upper sides to the wall, the stems projecting out- wards, and meeting in one point, which gives the ornament a pyramidal form. Leaves, masks, heads, &c., are often used in similar positions. The crockets of finials are of various descriptions, but are readily distinguished from the Early English by their natural and flowing outline, and by the crumpled leaves, so different from the crisp appearance of the latter. The niches are of a very elaborate description, and are usually of a considerable depth, having the roof covered with minute ribs and bosses. They are almost always surmounted by pedimental or ogee canopies, which are sometimes bowed forward in the form of an ogee, and are almost always decorated with crockets and finials. The arches are foliated, as are also frequently the spandrels above them. Some niches have conical coverings like spires crocketed at the angles, and surrounded with a series of canopies one on. each face of the spire. The sides, too, are often enriched with small ornamental buttresses. Some again have flat tops. The Perpendicular style dates its rise towards the close of the fourteenth century, at the latter portion of the reign of Edward III., and prevailed until the disuse of Gothic architecture. It is characterized by the exuberance and redundancy of its ornaments, and is wanting in the simpli- city of the Decorated style. In the earlier examples, this enrichment is not carried beyond bounds, but in later times it becomes excessive, and the chief aim of the architects seems to have been to employ as much labour as possible on decoration. This practice proved injurious, and at last fatal, and Gothic architecture may date its decline from the com- mencement of the fifteenth century. This style is called by some Third-pointed, and by others Florid. The term Perpendicular was given to it on account of the peculiar arrangement of the tracery in widow-heads, which forms a very marked characteristic of the style; but some have objected to the name, as of only partial applica- tion, and suggest the term IIorizontal, as being much more appropriate and significant of the general tendency of the style; and in this they are certainly correct, as witness the depressed arch, low-pitched roof, square-headed windows and doorways, square hood—moulds, and the horizontal tran- soms. But on this subject we shall not here enter ; the term is well established, and could not readily be laid aside, sup- posing such a course to be desirable. Pointed arches of all descriptions are to be met with in this style, nor do they ditfer materially from those of the preceding period, but drop arches are perhaps more preva- lent. An arch of a peculiar kind, however, began to be used some time ere the close of the style, which is not to be found in any other ; it is described from four centres, two of which are on the springing line, and describe arcs of very small radii, and the other two at some distance below it. Such arches have a very depressed appearance, the rise above the springing line being inconsiderable when com- pared with that of the two-centred arches; the rise, how- ever, varies to Some extent in different examples. This arch is termed the Tudor arch, and was introduced about the middle of the fifteenth century. Ogee arches are of constant and universal occurrence, and foiled arches are very frequent in decorative work. Arches are very frequently moulded, but in the plainer examples are only recessed and chamfered. The mouldings consist of much the same members as before, but they are of a less prominent character; the hollows are more shallow, and the projecting mouldings less prominent: the contour is of an undulating appearance, the junctions of the ditferent members being but indistinctly marked. A large but shallow cavetto is of frequent occurrence, and is sometimes orna- mented by the insertion of a square flower at intervals. The sofl'its of some arches are ornamented with panelled work. The shafts of piers are sometimes simple octagons in plan, as in the preceding styles, but are not of such frequent occurrence as before, and sometimes differ in contour, hav- ing the sides of the octagon slightly concave; they may be distinguished from earlier examples by their capitals and bases. Clustered piers are very frequent, and their general fi‘tfi. 1?. wmmw-nf. wwwafivw ,. a . . 4 AVWHLHF V: 1: , _ ‘ ‘ mmm< .i ‘wamflltm '.7 \\'11\,\\\\ \\‘ . 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H N {(5 FLA TL} F .\ - ,xx ‘\ \. u WfiWMKWNVX w, \\ V} \ “\W \\\\ \\ .n\\\\\ \N ‘\\\\\V\ Isl \I\ 4% /4 / \\\\“ W \ |||||| ./ // ..\u\.\..\a.... .1/ / / .,,./ , A/ / 7 7/ / x / . x x . ,r \ \ M .. / x \ _ V. \R _ \ ..\, / _ \ , _ , , \ / _ . . _ ., hr 2/... ya; ,, . w /../,E. . 42”,. ”V, ,. . u ,/.u ~_ 1“ , fl . _ nu. .\\ \WVIMY x _ \l \ ‘xnmflwu v\\\\\\\u\wm\ YLV i§~r\\m.\\\\\\\. \NH \. "u. u“\H£.W\n UN“».“.. 6‘me ‘ J". INAVE. A ,.\ uh .\ ‘. \ l~ u‘A AR“. . «\H .U« u u h ‘ «h..\hu \ufih mummy “\wVWEH HUMx m9: HH\\\ 5 §\ “de Wm “Wt \rrtl. HAN 491 HAN draw a. line round all the edges, and it will show the super- fluous wood to be cut off. To construct the face-mould of a hand-rail to a stair upon a level landing, in two parts, round a semicircular newel ,- so that when the two pieces are united or fixed in their places, the grain or fibres of the wood will mitre at the joint. Plate IL—Let Figure 1 be the rail stretched out, as in the preceding example : draw the chord of the rail, ih, Figure 2, No. l ; bisect the end hu at a, and the other end iw at c; draw _] z b C perpendicular to the chord hi, cutting the con- cave and convex sides at z and C ; make 2 (2 equal to 2'0, and E c, Figure 1, equal to w c, Figure 2, No. 1, extended : draw CD, Figure 1, perpendicular to A E, cutting the upper edge of the falling-mould at D, and the lower edge at H. In Figure 2, No. 1, draw a d perpendicular to h i, and c e parallel to a d; make a dequal to A B, Figure 1 ; c e, Figure 2, No. 1, equal to E F, Figure l ; and of, Figure 2, No. 1, equal to C D, Figure l ; join a c and de, Figure 2, No. 1 ; drawfg par- allel to a 0, cutting de in g ; draw g t parallel to ec, cutting a c in t; join t I); draw cg parallel to t 6, cutting the convex side of the plan at g ; produce 3/ c to cut the chord h i at 2 ; draw 2h parallel to ce; make 2 h equal to c e,- draw h K parallel to a d; make h K equal to a d; join h K ; produce h K and ih to meet each other in I; draw l m parallel to th: from any point, m, in lm, draw m 3 perpendicular to li; produce il to 1), cutting m 3 at 3 ; through 3 draw 4 n perpendicular to h I; produce hl to 4; make 3 0 on pl equal to 3-4; ‘ join 0 m; make 4 n equal to 0m, and join nl: then draw ordinates on the plan parallel to l m, to cut both sides of it, and also the chord hi; from the intersections in hi, draw lines parallel to c e, to cut h I; from the points of section in h l, draw lines parallel to l n ; make the lines thus drawn parallel to In, equal to the corresponding lines on the plan; and a curve drawn through these respective points will give the face-mould. In drawing ordinates upon the plan, care should be taken that an ordinate be drawn through the points upon each side of the plan at the line of separation of the straight and circular ‘ parts, and also through each extremity of the ends ; or, by finding M N, the line of separation, and the point K, the point L will be found by drawing K L parallel to NM, and M L parallel to N K; and thus the portion M N KL, corresponding to 12 :ch u on the plan, will be obtained. The angle p 0 772 gives the spring-bevel, Figure 2, No. 3; and the angle 5 rq gives the pitch-bevel, Figure 2, No. 2. The face-mould is applied to the plank by laying the points P and K close to the edge that is sprung; then drawing the pitch-bevel, N0. 2, from either point For K; for it is not necessary to draw them from both, as the corresponding point will be found upon the other side of the plank; then proceed with the remaining parts as before directed. To Spring the plank for a level landing through two given ‘ points, so as to parallel the grain. Plate III.—Let N0. 3 be the falling-mould, as before : draw any line, CA, for the base of the heights of the face- mould; then C D is the lower height, where the two wreathed pieces meet, and AB is the upper height, making allowance for the squaring of thejoint. Lay down the plan A h C, No. I; draw on parallel to Ah; draw AB perpendicular to Ah; make A B equal to A B, No. 3, and the angle A B E, No. 1, equal to the angle VW s, No. 3; produce A h to E; draw C D par- allel to A B; make C D equal to C D, No. 3, and the angle C D F equal to the angle A B E,tl1.1t is, equal to the angle v W s, No. 3: produce no to F; join F E; in FE take any point, E, and draw E I perpendicular to F 0, meeting it in I ; from I draw I K perpendicular to F G, cutting it in L ; make I H equal to IL, and join us; make L K equal to II E, and join FK; then F E is the director of the ordinates of the base, and F K that of the face-mould. Proceed with the rest as in Plate I. Figure 1. N 0. 2 shows the other mould; but it must be observed, that one mould is sufficient for both wreaths. Plate IV. shows the falling and face-moulds of a rail with winders. As to the method of laying down the moulds from three given heights, the principle is the same as described in Plate 1. for a level landing. It therefore only remains to speak of the manner of forming the butt-joints. Draw a line at right angles to the sides of the falling-mould, through the middle of the vertical line, where otherwise would have been the splice joint; from the end of this line draw another at the upper edge, and also one from the under edge, perpendicular to the base line; then the middle height being taken as usual, the remote line is the height of the face-mould. Thus, H I, No. l, is the height of h i, No. 2; KL, No. l, the height of h I, No. 2 ; and M N, No. l, the height of m 72, No. 2; the remaining part of the construction is as usual. N0. 3 is the upper face-mould, taken from inverted heights : or the falling-mould may be considered as inverted. The same letters are put upon both constructions, to show the similar parts. Here are eight winders, all drawn to a scale, to show the proportion of the parts in practice. This hand- rail requires two moulds, on account of the middle of the falling-mould being much higher than the hypothenuse of the winders. ' Plate V. shows the falling and face-moulds for a rail con- structed as in Plate IV. The only difference is, that in this Plate the middle of the falling-mould is the hypothenuse of the wreath. This situation of the falling-moulds will cause both the face-moulds to be identical: that is, their figures will be equal and similar, so that considerable time will be saved in the preparation. This position, and the identifica- tion of the moulds, may always be adopted when the distance between the opposite parts of the string is more than ten inches. The mode of making the height of the rail in the middle of the winders the same as that of the flyers, is prac- tised by several celebrated staircase hands, though it is nothing more than a mere matter of opinion, and may be adopted or not, at the option of the architect, or of the workman, if left to him. It is worthy of notice, that the springing of the plank is of the utmost consequence in the saving of stuff, where the well-hole is wide ; but where it is narrow, very little will be gained by it. To draw the scroll of a hand-rail, and tofind the mould for executing the twist. Plate VI. Figure 1, No. 1, represents the plan of the rail. The scroll is drawn by centres, in the following manner: Make a circle in the centre, 3% inches in diameter; divide the diameter into three equal parts, one of which subdivide into six equal parts ; set one part from the centre upwards, draw a line from the end of that part, at right angles, towards the left hand, and limit this perpendicular to two parts; from the end of the last perpendicular draw a third downward, limiting it to three equal parts ; proceed in this manner till six perpendiculars have been drawn, each differing in length by one from the preceding, and the form of a spiral fret will be obtained. The points of concourse of every two lines will give the centres, which are six in number, besides the centre of the circle, and are numbered in order from such centre: draw a straight line downward from the first centre, by continuing the line already drawn till it cuts the circle : continue the second perpendicular to the right hand, and the third upwards to the left hand ; these will form the limiting lines for the four arcs, which will complete one revolution HAN 492 HAN Continue the lines in the same order for the next revolution, or for the portion of it required. Begin with the centre next to that of the circle for the first centre, and describe aquarter are from the point of contact of the circle to the next limiting line; then around the second centre, with the distance to the intersection of the preceding are, on the preceding limiting line, describe another are; proceed in this manner till the whole spiral is completed. Set the breadth of the rail from 0 to a, and describe another spiral by the same centres, by turning the arcs the contrary way, till the last arc of the spiral cuts the first ; which will complete the scroll of the rail; then the addition of a part of the straight of the rail will complete the whole. The outer spiral consists of one revolution and a half, and the inner of only about half a revolution, which also makes the scroll itself appear only half a revolution; but if more is required, every additional centre will add a quarter of a revolution to the scroll. To find the face-mould for the shank of the scroll. Figure 1, No. 1. Lay the base of the pitch—board upon the outside of the shank of the scroll, with the acute angle turned to the outside, or largest convexity : draw a line parallel to the base of the pitch-board, to touch the convex side of the scroll next to the straight part; let this line cut the outside of the rail at 6 : between 0 and 6 take any number of inter- mediate points, 1, 2, 3, 4, 5, and draw lines perpendicular to the base of the pitch-board, to cut the hypothenuse of the said pitch-board; from the points of section draw lines at right angles to the hypothenuse; let the perpendiculars parallel to the base line of the pitch-board be continued downwards, to cut the concave side of the shank; and let one of the perpen- diculars be drawn from the concave, and another from the convex side of the rail, where it is intersected by the line parallel to the base line ; make all the lines at right angles to the hypothenuse equal to the respective ordinates of the shank taken from both concave and convex sides of it : then curves being traced, and the straight parts joined to the angular points, will be the face—mould. Tofind thefalling-mould. Divide the distance between 0 and 6, Figure 1, No. 1, into six equal parts, and run the chord on the convex side as far as the rail is required to fall; upon any convenient line, A D, No. 2, run the chord of the part from 0 to 13; place the angular point, C, of the pitch-board at 4 ; with the base A C, upon A D, tange the angle B C D made by the hypothenuse of the pitch-board and the line AD, with a curve to touch at B and D, as shown at No. 3; then draw another curvilinear parallel, containing the depth of the rail between the two curves; and the falling-mould, No. 2, will be completed as far as the rail has a descent, which-ends at 13. The block of the scroll, which is the remaining part after the shank is taken away, is wrought out of a solid piece of wood, the height of the perpemlicular upon 0. The shank is squared in the same manner as shown in Plate II. No. 4. The falling-mould for the concave side of the rail is exhibited here, in order to show, that if the ramp and the curve of the scroll do not begin together, and if the rail be made absolutely square, that is, having all its plumb sections rectangles, and the convex side made agreeable to its falling- mould, with an easy curve, it will be impossible to form the back with a regular curve on the concave side, and a hump will always be formed. Therefore, in reducing the hump to an agreeable curve, the rail will be thrown out of the square; but the degree by which it deflects from the truth is so small as not to be perceived. The inside of the falling—mould is formed by taking the stretch out of a h, 60, cd, &c., of the corresponding parts 0 1, 1 2, 2 3, &c., in No. 1, and applying them from a to b, from b to c, from c to d, &c., No. 4 ; then drawing the per- pendiculars from the points a, b, c, &c., and transferring thereto the corresponding perpendiculars insisting upon 0, 1, 2, &c., No. 2, and then tracing the curves. According to the principles of hand-railing, a vertical or plumb section of the rail at right angles to the cylindric sides, or tending to the axis of the cylinder, is level on the back ; therefore, as the concave and convex sides of the plan of the scroll are concentric circles, the are on the concave side, so far as relates to the same quadrant, will be divided equally, as well as the outside; and therefore drawing lines to the centres from the points of section on the convex side will divide each quadrant equally, and the lines thus radiating will be perpen- dicular to the curve on both sides of the plan ; all the parts throughout the same quadrant will be equal on the concave side as well as on the convex side ; and on the convex side the parts will be equal throughout all the quadrants ; but on the concave side the parts of each succeeding quadrant, in turning towards the centre, will be quicker than those in the preceding quadrant. In the part of the rail which is straight upon the plan, the sections at right angles to the sides divide each side into equal parts, and the parts on the one side equal to those of the other : hence the reason why the hump takes place at the junction of the ramp and twist. If a scroll is made agreeable to the form of the plan as struck round centres with compasses, it will always appear 4 to the eye as ifcrippled at the separating section of the straight and twisted parts. To remedy this defect, the curve ' of the vertical sides, or that which relates' to the plan, ought to be extended with an easy curve into the straight part. No. 5. An elevation of the shank of the scroll. The por- tion of the plan is taken from No. 1, and the heights which ' give the curves are taken from the falling—mould, No. 2; its use is to show the thickness of stuff which is contained between two parallel lines ; the lower line comes in contact with the projection at two points, the upper one comes in contact with the projection in one point only. To show the method of forming the curtail of the first st ep. Plate VII. Figure 1, No. l.—Draw the scroll as in the preceding Plate ; set the balusters in the middle of the breadth, putting one at the beginning of every quarter ; then the front of the balusters is in the plane of the face of the riser, and the opposite side in the plane of the string-board : set the projection of the nosing before the baluster on both sides, and draw two spiral lines parallel to the sides of the scroll, till the curves intersect each other, and they will then form the curtail end of the step, as required. F G H I K repre- sent the convex side of the scroll ; L M N, the convex side of ; the curtail ; and A, B, C, D, E, the centre points of the balusters. ‘ No. 2 shows the profile of the curtail, the end of the second step, and part of the end of the third. 1 Figure 1, No. 3, shows the centres for drawing the curtail, 3 which are the same as for drawing the scroll. j To describe a section of the rail, supposing it to be two ‘ inches deep, and two and a quarter inches broad, the usual dimensions. Figure 2.—Let A B C D be a section of the rail, as squared. On AB describe an equilateral triangle, ABg; from g, as a centre, describe an arc to touch A B, and to meet g A and gB: take the distance between the point of section in 9A and the point A, and transfer it from the point of section to la, upon the same line g A ; join D k ; from k, with the distance i 1 between h and the end of the arc, describe another are, to ’3'“! ., p] . , J T19 1P1“ {(23 ' H L.) R“ (\ , N 13.3) 3'3 x '01, . .{PZJVU [‘1 1. , S \\\\\ \ l\ \ \ \ \ § V§AWKI ‘- \\ § / / / _\\\ 7' “A I , :5 g __ P : . .I ’1 ‘H. if}?! I" m ! H W Hill} 1 u |1 l l ”I I .1 I t W W .............................. a _m L m _ ’ ,fi 3 4,: v 1 : _ E: 5; :M _ a 4* _M i z“: E g: 2 3;: i :31 JAN 3;? ,: _ z, : _ 17,5: _ r. : :2 :TM :7 g: _ s; .3; ___m L; 5% igljmm*___:_______7__ _ _ , _ _ HAR 493 HEA meet Dk; with the same distance describe a third arc, of contrary curvature, and draw a vertical line to touch it; thus will one side of the section of the rail be formed. The counter-part is formed by a similar operation. Figure 3 is the most simple form for the section of a rail, being that of a circle. To describe the Mitre-cap of a rail. Figure 4.——Describe a circle, a e b d, to the intended size (the proportion here between the rail and the cap is as 2 to 3) ; draw the diameters a b and ed at right angles; produce e d, and place the middle of the section of the rail upon 9 d ; draw BQ to touch the section of the rail, and to cut the circle are 6 din Q; draw the side P Q of the mitre ; draw A B to meet the points of contact, A and B, of the lines parallel to e d, which are tangents to the section. Then to find any point in the curve of the section of the mitre-cap : let G be a point in the section of the rail; draw G 1:, meeting P Q in k ,- from the centre of the circle ae b d, describe an arc, k f, meeting ab inf; from the point of section f, draw f g, per- pendicular to a b ; and make f 9 equal to F G. All other points are found in the same manner ; or a series of lines may be drawn from any number of assumed points in the section, and lines parallel to ed, drawn from them to cut P Q; arcs may then be described from each point of sec- tion to meet a b, and perpendiculars drawn from the points of section in ab; all these perpendiculars should be made equal to the respective ordinates of the section, and a curve drawn through their extremities will form the curve of the mitre-cap. HANGING, of doors, or shutters, the act of placing them upon centres or hinges, for the convenience of opening and shutting. See HINGING. HANGING STYLE, the style of a door or shutter, to which the hinge is fastened. The term is also applied to a narrow style fixed to the jamb, on which the door or shutter is sometimes hung. In this case the hanging style is used with the view of making the shutter or door revolve more than a right angle, in order to turn it into a given position ; as to bring a door close to a partition, to keep it out of the way. HANGIN GS, linings for rooms, made of arris, tapestry, or the like. HANGS OVER, an expression used in speaking of a wall, when the top projects beyond the bottom. HARD BODIES, such bodies as are absolutely inflexible to any shock or collision whatever. . This is the common meaning of the term: but Huygens, by hard bodies (corpora dura) meant what others call perfectly elastic bodies ; for he thus expresses himself : “Quaecunque sit causa, corporibus duris, a mutuo contactu resiliendi cum se invicem impinguntur: ponimus, cum cor- pora duo inter se aequalia, aequali celeritate, ex adverso ac directe sibi mutuo occurrent, resilire utrumque eadem qua advenit celeritate.” Huyg. De Mom Corp. ex Percuss. Hypoth. 2. But this hypothesis is consistent only with per- fect elasticity, and not with the common supposition of hard- ness or inflexibility, which produces no resilition. The laws of motion for hard bodies are the same as for soft bodies, and these two sorts of bodies might be comprised under the com- mon name of unelastic. Some who follow Leibnitz’s doctrine, concerning the measure of the moving force of bodies, deny the existence of hard or inflexible bodies. And it is so far true, that no experience ever taught us that there are any such. The hardest bodies to appearance do not preserve their figures in collision, such bodies being only elastic, yielding to the shock, and then restoring themselves. 6 K M. Bernoulli goes so far as to say, that hardness, in the vulgar sense, is absolutely impossible, being contrary to the law of continuity. For supposing two such hard bodies of equal masses, and with equal velocities, to meet directly, they must either stop or return after the collision. The first sup- position is commonly admitted ; but then it follows, that these bodies must instantaneously pass from motion to rest, without going through successive diminutions of their velocities till they stop : but this is thought to be contrary to the funda- mental laws of nature. Hence this author rejects perfectly solid and inflexible atoms, which others think a consequence of the impenetrability of matter. HARD, a name given to a ford or passable place in a river particularly in and near the Fens, where many of these formerly occurred, composed of gravel, probably brought thither for the purpose. These HARDS proved very detri- mental to navigation in dry seasons, and obstructed and aug- mented the floods in wet ones, until they were removed. Frequent mention is made of them by Mr. Smeaton, and by other writers on the navigation and drainage of those districts. HARD FINISHING. See PLASTERING. HARDENING OF TIMBER. See TIMBER. HARMONIC or HARMONICAL PROPORTION, is when, in a series of quantities, any three adjoining terms being taken, the difference between the first and second is to the difference between the second and third as the first is to the third. The reciprocals of a series of numbers in arith- metical progression are in harmonical proportion: thus the reciprocals i, %, J5, %, Soc. of l, 2, 3, 4, &c., are in harmonical proportion; also, the reciprocals 1-, 7}, f}, 1%,, &c., of l, 3, 5, 7, 8:0. are harmonicals. HARMONY, an agreement between all the parts of a building ; the word is of similar import with SYMMETRY, which see. HARNESS ROOM, 3 small apartment for keeping the harness in, that it may be preserved from mouldiness. The harness-room should be perfectly dry, and placed as near the stable as possible. HASP, 3. fastening; it is in form a small clasp that passes over a staple to be fastened by a padlock. HAT CH-VVAY, an aperture through the ceiling, to afford a passage to the roof. HATCHET (from the French hackette) a small axe, used by joiners for reducing the edges of boards. HAUNCH. That part of an arch between the vertex and the springing. HEAD. (from the Saxon) an ornament of sculpture of carved work, frequently serving as the key of an arch or platband. These heads usually represent some of the heathen deities, virtues, seasons, or ages, with their attributes. The heads of beasts are also used in suitable places ; as a bullock’s or sheep’s head, for a shambles or market-house ; a dog’s, for a kennel ; a deer’s or boar’s, for a park or forest; or a horse’s, for a stable. In the metopes for the friezes and other antique Doric. temples, we meet with representations of bullocks’ or rams’ heads flayed, as a symbol of the sacrifices offered there. HEAD, Jerkin, See J ERKIN HEAD. HEADER. See HEADING COURSE. HEADING COURSE, in masonry, a course of stones in which their length is inserted in the thickness of the wall ; those with their length in the face of the wall are called stretchers. The same is also to be understood of brickwork. HEADING JOINT, in joinery, the joint of two or more boards at right angles to the fibres; or. in hand-railing, at right . A- I-......_.J' HEL 494 HEP angles to the back: this is done with a view to continue the length of the board when too short. The heading-joints in good work are always ploughed and tongued, as in flooring, dado, &c. In dado, the heading-joints, besides being ploughed and tongued, are also glued. ITEAD-WAY OF A STAIR, the clear distance, measured per- pendicular to the horizon, from the tread of any step, resting- place, or landing, to the ceiling immediately above, in one revolution, making allowance for the thickness of the steps. HEARSE or HERSE, a metal frame sometimes set over efligies on tombs. HEART-EON D, in masonry, the lapping of one stone over two others, which together make the breadth of the wall. This is practised when thorough-stones cannot be procured. See MASONRY. HEARTH. See CHIMNEY. HEATHER-ROOF, that kind of roof employed in build- ing which is thatched over or covered with heather or heath, instead of some other material. It is recommended, as well adapted to buildings of the farm description, by the writer of the Survey of the County of Argyle, in Scotland, on the principle that it does well with timber of the ordinary sort, is capable of being procured for a trifle, lasts nearly as long as slates, and gives less trouble in the repair. It is asserted that a roof of this material, when well put on, will last one hundred years, provided the timber continues good that length of time. And it is stated, that formerly, most of the churches in the above county were covered with this sort of roof; likewise, that heather-roofs are frequently met with in the district of Cowal, and that there are a few of them in Kintyre. This sort of material may certainly be employed with advantage as a covering for small houses and other buildings, Where other kinds of substances cannot be procured, except at a great expense ; but at the same time it is very inferior to slate, and other similar matters, in forming the coverings of such erections. HECATOMPEDON (from émrov, a hundred, and wag a fool) a name given to the Parthenon, or temple of Minerva, at Athens. HECATONSTYLON (EKaTovs‘vhov) in ancient archi- tecture, a portico with a hundred columns. This name was peculiar to the great portico of Pompey’s theatre, at Rome. HECK, a rack. HEEL, in mouldings, the same as the sima-inversa. HEEL OF A RAFTER, the foot of the rafter, as it is formed to rest upon the wall-plate. HEIGHT, the perpendicular distance of the most remote .part of a body from the plane on which it rests. HELICOID PARABOLA, or the PARABOLIC SPIRAL, a curve arising upon a supposition of the axis of the common Apollonian parabola being bent round into the periphery ofa circle. The helicoid parabola, therefore, is a line passing through the extremities of the ordinates, which converge towards the centre of the said circle. HELIOPOLIS, or THE CITY or THE SUN, in ancient geography, a city of Egypt, placed by geographers not far from I'Iellé, at some distance from the eastern point of the Delta. It was built, according to Strabo, on a long artificial mount of earth, so as to be out of the reach of the inundation. This causeway, covered with rubbish, is still visible two leagues to the north-east of Grand Cairo, and three from the separation of the Nile. This city had a temple to the sun, where a particular place was set apart for the feeding of the sacred 0x, which was there adored under the name Mnevis, as he was at Memphis under that of Apis. There was also in this city another magnificent temple, in the ancient Egyptian taste,with avenues of sphinxes and superb obelisks, before the principal entry. These temples were fallen into decay under the reign of Augustus ; as the city had been laid waste with fire and sword by the fury of Cambyses. Of the four obelisks built by Sochis in that town, two were removed to Rome; another has been destroyed by the Arabs; and the last of ; them is still standing on its pedestal. It is composed of a ' block of Thebaic stone, perfectly polished, and is, without . including its base, 68 feet high, and about 6% feet wide on each ‘ aspect. It is covered with hieroglyphics. This beautiful monument, and a sphinx of yellowish marble, overset in the l mud, are the only remains of Heliopolis. See EGYPTIAN ARCHITECTURE. HELIX, a term applied to the little scrolls in the Corinthian capital, called also arillce : they are sixteen in number, viz. two at every angle, and two in the middle of the abacus, branching out of the caulicoli or stalks which rise between the leaves. HELMET, a. warlike ornament, in imitation of the helmet worn by the cavaliers, both in war and in tournaments, as a cover and defence of the head ; the helmet is known by divers other names, as the [lead-piece, steel-cap, &c. The Germans call it ltelen or hellem ,- the Italians elmo ; the French casqae, as did also the ancient English. The helmet covered the head and face, only leaving at aperture about the eyes, secured by bars, which served as a Visor. HEM, the protuberant part of the Ionic capital, formed by spirals. ' HEMI, a word used in the composition of divers terms. It signifies the same with semi or demi, viz., half; being an abbreviation of {hum-v9, lzemz'sys, which signifies the same. ‘ The Greeks retrenched the last syllable of the word ‘llllllavg, i in the composition of words ; and, after their example, we have : done so too, in most of the compounds borrowed from them. HEMICYCLE, (Latin, laemicgcliam, compounded of flptavg, half, and KUKAOQ, circle) a semicircle. This word is particularly applied, in architecture, to vaults in the cradle f form - and arches or swee s. of vaults, constitutincr a erfect j , a P a P semicircle. To construct an arch of hewn stone, they divide the hemicycle into so many voussoirs; taking care to make them an uneven number, that there be no joint in the middle, i where the key-stone should be. HEMICYCLIUM, a part of the orchestra in the ancient theatre. Scaliger, however, observes, it was no standing part of the orchestra; being only used in dramatic pieces, where 1 some person was supposed to be arrived from sea, as in Plautius’s Radens. HEMISPHERE, (Latin, hemispherium, compounded of i/pta'vg, ltalf, and apatpa, sphere) in geometry, one half of a globe, or sphere, when divided into two by a plane passing through its centre. HEMISPHEROIDAL, a body approaching to the figure of a hemisphere, but not exactly so; of this description are what may be termed elliptical domes, upon either axis. IIEMITRIGLYPH, the half triglyph. HENDECAGON, Exnncaeox, or UNDECAGON, (com- pounded of éydsa‘a, eleven, and 7mm, angle) in geometry, a figure which has eleven sides, and as many angles. If each side of this figure be 1, its area will be equal to 9.3656399 : 1;,1 tangent 737%, radius being 1. HEPTAGON, (of firm, septem, seven, and warm, mar/lo) in geometry, a figure consisting of seven sides and Seven angles. a regular lwptagon. If the sides and angles be all equal, it is called . The area of a regular heptagon is f equal to the square of one of its sides multiplied by ' 3.6339126. .‘J‘ 133, 7. N91 W 1' M. H” I {II J_ -|'1 HINGING Fly-7. M2 '! ‘t'g. I w _ I HIN HEPTAGONAL, consisting of seven angles, and there- fore also of seven sides. HERBOSUM MARMOR, a species of marble, much esteemed and used by the ancient architects and statuaries. It was of a beautiful green colour, but had always with it some cast of yellow. It was dug in the quarries of Taygetum, but was esteemed by the workmen the same in all respects, except colour, with the black marble dug at Tzenarus in Lacaedemonia, and thence called Twnarian marble. HERRING-BONE, a term applied to a particular kind of masonry, in which the stones are laid aslant, inclining alternately right and left. Such work was common in Roman and Saxon structures. HERMOGENES, the inventor of the eustyle intercolum- niation; also of the octostyle pseudodipteros. He is men- tioned by Vitruvius, chap. 2. book iii. HEWN STONE, any stone when reduced to a given form by means of the mallet and chisel. HEXAEDRON, or HEXAHEDRON (formed of 55, six, and ildpa, seat) in geometry, one of the five regular bodies, popu- larly called a cube. See CUBE. The square of the side of a hexaedron is in a subtriple ratio to the square of the diameter of the circumscribed sphere. Hence, the side of the hexaedron is to the diameter of the sphere in which it is inscribed, as one to the ¢ 3: and consequently it is incommensurable to it. HEXAGON, (from £5, six, and yen/ta, angle) a figure of six angles, and consequently of six sides. If the angles and sides are equal, the figure is called a regular hexagon. If the side of a hexagon be denoted by s, its area will be 2.5980762 s. HEXASTYLE, (from 55, six, and eukog, column) a build- ing with six columns in front. HINDOO ARCHITECT URE. See INDIAN ARCHI- TECTURE. HINGES, metal ligaments, upon which doors, shutters, folds, lids, 8pc, turn in the act of opening and shutting. There are many species of hinges, viz., butts, rising-hinges, pew-hinges, casement-hinges, casting-hinges, chest—hinges, coach-hinges, desk-hinges, dovetail-hinges, esses, folding- hinges, garnets, weighty side, side-hinges with rising joints, side-hinges with squares, screw—hinges, scuttle-hinges, shutter- hinges, trunk-hinges, of various descriptions, hookeand-eye- hinges, and centre-pin-hinges. HINGING, a branch of joinery, which shows the art of hanging a board to the side of an aperture, so as to permit or exclude entrance at pleasure. The board which performs this office is called a closure. The placing of hinges depends entirely on the form of the joint, and as the motion of the closure is angular, and performed round a fixed line as an 'lXiS, the hinge must be so fixed that the motion may not be interrupted: thus if the joint contain the surfaces of two cylinders, the convex one in motion upon the edge of the closure, sliding upon the concave one at rest on the fixed body, the motion of the closure must be performed on the axis of the cylinder, which axis must be the centre of the hinges; in this case the joint will be close, whether the aperture be shut or open. But if the joint be a plane surface, it must be considered upon what side of the aperture the motion is to be performed, as the hinge must be placed on the side of the closure where it revolves. , The hinge is made in two parts, movable in any angular direction, one upon the other. The knuckle of the hinge is a portion contained under a cylindric surface, and is common to both the moving part and the other part at rest; the cylinders are indented into each )ther, and made hollow to receive a concentric cylindric pin 495 HIN which passes through the hollow, and connects the moving parts together. The axis of the cylindrical pin is called the axis qf the hinge. \Vhen two or more hinges are placed upon a closure, the axes of the hinges must be in the same straight line. The straight line in which the axes of the hinges are plaéed is called the line of hinges. The following are examples of the different cases. The principle (3f hanging doors, shutters, or flaps, with hinges. The centre of the hinge is generally put in the middle of the joint, as at A, Figure l ; but in many cases there is a necessity for throwing back the flap to a certain distance from the joint; in order to effect this, suppose the flap, when folded back, were required to be at a certain distance, as AB in Figure 2, from the joint; divide AB in two equal parts at the point. C, which will give the centre of the hinge; the dotted lines B D E F, show the position when folded back. N'ote—The centre of the hinge must be placed a small degree beyond the surface of the closure, otherwise it will not fall freely back on the jamb or partition. It must also be observed, that the centre of the hinge must be on that side that the rebate is on, otherwise it will not open without thejoint being constructed in a particular form, as will be afterwards shown. ' Figure 3 shows the same thing opened to a right angle. To hang two flaps, so that when folded back, they shall be at a certain distance from each other. This is easily accomplished by means of hinges having knees projecting to half that distance, as appears from Figure4; this sort of hinges is used in hanging the doors of pews, in order to clear the moulding of the coping. T o nzahe a rule joint for a window—shutter, or other folding-flaps. Figure 5.——Let A be the place of thejoint; draw AC at right angles to the flap, shutter, or door ; take C, in the line A C, for the centre of the hinge ; and the plain part A B, as may be thought necessary ; on C, with a radius, 0 B, describe the arc B D ; then will A B D be the true joint. Totes—The knuckle of the hinge is always placed in the wood, because the farther it is inserted the more of the joint will be covered, when it is opened out to a right angle, as in Figure 6; but if the centre of the hinge were placed the least without the thickness of the wood, it would showan open space, which would be a defect in workmanship. Toform the joints of styles, to be hung together, when the hnuchle of the hinge is placed on the contrary side if the rebate. Figure 7.—-Let C be the centre of the hinge, M I the joint on the same side of the hinge ; K L the depth of the rebate in the middle of the thickness of the styles, perpendicular to K M, and L F the joint on the other side, parallel to K M; bisect K L at H, join H c; on 11 C describe a semicircle, C 1 H, cutting KM at I: throagh the points I and H, draw IHG, cutting F L at G ; then will F GIM be the truejoint ; but if the rebate were made in the form of MK L F, neither of the styles could move round the joint or hinge. To form the edges or joint qf door-styles, to be hung to each other, so that the door may open to a right angle, and show a bead to correspond exactly to the hnuchle ofthe hinge. Also the manner of constructing the hinges for the various forms of joints, so as to be let in egually upon each side. Figure 8, No. 1, shows the edge of a style, or it may in some cases be a jamb, on which a head is constructed exactly to the size of the knuckle of the hinge, and rebated backwards, IIIN 496 IIIP equal to half the thickness of the bead : the manner of con- structing the rebate will be shown as follows : Through C, the centre of the bead, which must also be the centre of the hinge, draw C B D perpendicular to E F ; draw A G parallel to it, touching the bead at G; make G A equal to G C, the radius of the bead; join CA; make AB perpendicular to A C, cutting C D at B; then will G A B D be thejoint required. No. 2, shows a part of the hanging style constructed so as to receive the edge of No. 1. No. 3, shows the above hinged together with common butt-hinges. Note—It must be observed in this, and all the following examples of hinges, that thejoints are not made to fit exactly close, as sufficient space for the paint must be allowed. Figure 9, No. 1 and 2. The manner of constructing these being only a plain joint at right angles to the face of the style, no farther description is necessary. No. 3 shows No.1 and 2 hinged together, and the par- ticular construction of the hinge, so as to be seen as a part of the bead, and the strap of the hinge to be let equally into each style : this construction will admit of a bead of the same size exactly opposite to it. Figure 10, No. 1 and 2. The manner of constructing the edges of styles to be hinged together with common butts, to be let equally into each style: the manner of constructing this joint is so plain, by the figure, that it would be useless to give any other description of it. No. 3, the two pieces hinged together. [Methods of jointing styles together so as to prevent seeing through the joints, each side of the styles to finish with beads of the same size, exactly opposite to each other, and for the strap of the hinges to he let equally into both parts or styles. Figure 11, No. l and 2, the manner of constructing the joint, before hinged together. No. 3 shows No. 1 and 2 hinged together with common butts. Figure 12, No. 1 and 2, shows another method of construct- ing the joints, before hinged together. No. 3, shows No. 1 and 2 hinged, and the particular form of the hinges for the joint. The principle of concealing hinges, showing the manner of mahing them, and of forming the joint of the hanging style, with the other style connected to it by the hinges, either for doors or windows. . Figure 13,, for a window : X, inside bead of the sash-frame. Y, inside lining. Z, style of the shutter. Let A be the intersection of the face of the shutter, or door, with that of the inside lining of the sash-frame. A R, the face of the inside lining. Bisect the angle PAR by the right line AA; now the centre C being determined in A A at C, so that the knuckle of the hinge may be at a given distance from the face P A of the shutter; through C draw the line D D, at right angles to A A; then one side of the hinge must come to the line CD, the hinge being made as is shown by the figure. To construct the jam!) to be clear of the shutter.— On C, as a centre, with a radius CA, describe an are A M, and it will be the joint required. Tote—When these sort of hinges are used in shutters, the strap of the hinge may be made longer on the inside lining, than that which is connected with the shutter. Figure 14, is the manner of hanging a door on the same principle: the shadowed part must be cut out, so that the other strap of the hinge may revolve. 5. the edge, 0 D, of the hinge, will come into the position of the line A A, when the window is shut in. Here the strap part of the hinge may be of equal lengths. Figure 15, the common method of hanging shutters together, the hinge being let the whole of its thickness into the shutter, and not into the sash-frame. By this mode it is not so firmly hung, as when half is let into the shutter and half into the sash-frame, but the lining may be of thinner stuff. Note—It is proper to notice, that the centre of the hinge must be in the same plane with the face of the shutter, or beyond it, but not within the thickness. Figure 16, the method of hanging a door with centres. Let A D be the thickness of the door and bisect it in B; draw B C perpendicular to A B; make B 0 equal to BA or B D; on C (the centre of the hinge) with a radius C A or C D, describe an are, A E D, which will give the true joint for the edge of the door to revolve in. HIP, in architecture, a piece of timber placed between every two adjacent inclined sides of a hip-roof, for the pur- pose of fixing the jack rafters. For the manner of finding the length and backing of the hips, see HIP-ROOF. ‘ HIP-KNOB, a pinnacle, finial, or other ornament placed on the top of the hips of a roof, or on the apex of a gable, especially where barge-boards are employed. > HIP-MOULD, a mould by which the back of the hip-rafter is formed: it ought to be so constructed as to apply to the side of the hip, otherwise there will be no guide for its application. ' HIP-ROOF, a roof whose ends rise immediately from the wall-plate, with the same inclination to the horizon as the other two sides of the roof have. The backing of a hip is the angle made on its upper edge, to range with the two sides or planes of the roof between which it is placed. Jack-rafters.are those short rafters fixed to hips equidis— tantly disposed in the planes of the sides and ends of the roof, and parallel to the common rafters, to fill up the triangular spaces, each of which is contained by a hip-rafter, the adjoin- ing common rafter, and the wall-plate, between them. The seat or base of the rafter is its ichnographic projection on the plane of the wall-head, or on any other horizontal plane. The principal angles. concerned in hip-roofing are, the angle which a common rafter makes with its seat on the plane of the wall—head; the vertical angle of the roof; the angle which . a hip makes with the adjoining common rafter; the angles which a hip makes with the wall-plate on both sides of it; the angle which a hip-rafter makes with its seat; and the acute angle which a hip-rafter makes with a vertical line The principal lengths concerned are, the height of the roof, the length of the common rafters and their seats ; the length of the hips and their seats ; and, lastly, the length of the wall- plate contained between the lower end of a hip and the lower end of the adjacent common rafter. The sides and angles may be found by geometrical con- struction or trigonometrical calculation. It is evident, that if the hipped end of a roof be cut otf by a vertical plane parallel to the wall, through the upper extremity of the hips, it will form a rectangular pyramid, or one whose base is a rectangle. The base of this pyramid is bounded by the wall- plate between the two hips on one side, and 011 the opposite side by the seat of the two adjoining common rafters; on the other two opposite sides, by that part of the wall-plate on each side contained by the lower end of the hip and the next com- mon rafter adjoining. One of the sides is the isosceles triangle contained by the two adjoining common rafters with their seat; the opposite side is the hipped end of the roof, forming 173;. 11.11791. N .1 [Hulmmw W 1} u Nahum, ‘ i (INDIE? .T‘ELN'TZVL} A)". PU' -J. IVER El K fir H 33% €73 5-H NC CM]? ‘A‘JY lil'J-ZEED [731.13. 21’." 1. PLATE II. , between them. HIP “497 HIP also an isosceles triangle; the other two opposite sides are the right-angled triangles contained by the two hips and the two adjoining rafters on the side of the roof. This rectangular pyramid may be divided into three triangular pyramids by the two vertical triangular planes, formed by the hip-rafters, their seats, and the common perpendicular from their vertex. Two of these pyramids, when the plan of the building is a rectangle, are equal and opposite. In each of these equal and opposite pyramids the base is a right-angled triangle, con- tained by the seat of the hip-rafter, the seat of the adjoining common rafter, and the part of the wall-plate between the hip and the adjoining common rafter. One of the sides is a right-angled triangle contained by the adjoining common rafter, its seat, and perpendicular; a second side is a right- angled triangle contained by the common rafter, the hip- rafters, and the wall-plate, between them ; and the remaining third side is the triangle contained by the hip—rafter, its seat, and perpendicular. With regard to the remaining pyramid, its base is a right—angled triangle contained by the seats of the two hips and the wall-plate between them, the right angle being that contained by the seats of the two hips ; two of its sides are the triangular planes passing the hip-rafter, which ‘ are also common to the other two pyramids ; its third side is the hipped end of the roof. Given the plan of a building, or the form ofa wall-plate of a hip-roof; and the pitch of the roof, to find the various lengths and angles concerned, whether the roof is square or bevel. EXAMPLE I.— To find the length of the rafters, the baching of the hips, and the shoulders of jack-rafters and purlins, . geometrically. Plate I.—Figure l.'—Let A B C D be the plan. Draw E F parallel to the sides, A D and B C, in the middle of the distance On DC, as a diameter, describe the semi- circle DFC; draw FD and F C, then the angle DFC is a right angle. Draw GFH perpendicular to FF, cutting the sides AD and BC in G and H; from FE cut off F1 equal to the height or pitch of the roof, and join G I; from F C out off F K equal to F1, and join K D; then GI is the length of a common rafter, and D K that of the hip ; for if the triangles G FI and DFK be turned round their seats, GF and DF, until their ; planes become perpendicular to the triangle G FD, the per- ‘ pendicular FI will coincide with FK, and the point I will coincide with the point K; the lines G I and D K, representing the rafters, will then be in their true position. The same by calculation. GI2 : Gr? + F12 (Euclid i.47.), therefore GI : (G F2 + F12) % the length of the common rafter, DF2 2 G F2 + GD2 the square of the seat of the hip. DK2 : DF2 + FK’ : Gr” + GD2 + F12, ———_—i therefore DK : GF2 + GD2 + F122. In the same manner the other hip-rafter CL is found, as also the hip-rafters A M and BN. Let it be required to find the backing of the hip-rafter, whose seat is c F. Geometricallg.—Imagine the triangle CFL to be raised upon its seat CF, until its plane becomes perpendicular to the plane of the wall-plate A B CD, then there will be two right-angled solid angles; the three sides of the one are the plane angles of F C D, F C L, and the hypothenusal plane angle D C L. In each of these solid angles the two sides, containing the right angle, viz., the plane angles FC H, FCD, and the perpendicular plane angle CFL, which is common to both, being given, to find the two opposite inclinations to the sides F C H and F C D, and the remaining third sides. Now the angles G D C and H C D are besected by the seats ‘1‘ D and FC of the hip-rafters; for if E F is produced to meet DC in U, I' will be the centre of the circle DFC; and UC, 6 L U E, U D, are equal to each other; and because U F is equal to U c, the angle 0 r U is equal to F c U; but 0 F U is equal to the alternate angle F C H; therefore, the angle F C U is equal to F C H; that is, the angle U C H is besected by the seat F C of the hip-rafter. In the same manner may be shown that U D G is besected by the seat DF of the other hip-rafter. From any point, 0, in FC, draw 0V perpendicular to LC, cutting it in P, and o W perpendicular to F C, cutting DC in W; from o C out othQ equal to 0P. Join Q W, then 0 QW will be the inclination opposite the plane angle F CU, and this is the angle which the end of the roof makes with the vertical triangle contained by the hip-rafter, its seat, and perpen— dicular. Produce W0 to meet B C in X, and join QX, then WQ X is the inclination of the two planes of a side and end of the roof, whose intersections are B C and C D, on the plane of the wall-head. Now, the angle WQX, which is double the angle W Q 0, is the backing of the hip. Make P v equal to QW, and join C v, then will PC V be the angle contained by the two sides L C, CD, or that of the hypothenusal plane angle contained by the intersection BC, and the hip-rafter L C. This angle may be otherwise found thus :—Produce GH to R; make C R equal to C L, then the angle H C n is equal to Pcv. Now the angle HC R, or PC v, is the angle which the purlins (when one of their faces is in the side of the roof) make with the hip-rafter L C; and the angle C V P, or C R H, is the angle which a jack-rafter makes with the same hip ; in the same manner may the backings of the other hips be found. The other bevel of the jack-rafters is the angle H 1F. To find the other bevel for cutting the shoulder of the purlin, proceed thus : on F, as a centre, with the distance F G, describe the arc GY; draw F Y perpendicular to G I, Y 2 parallel to E F, cutting F D in z, and z & parallel to G H, cut- ting A D in 85. Join 8t F, then G St F is the angle which the other side of the shoulder makes with the length of the purlin. At the other end of this diagram is shown the manner of finding the two bevels for cutting the shoulder of the purlin against the hip—rafter, when the side of the purlin is not in the plane of the side of the roof. To find the same things by calculation—The backing of the hip—rafter and hypothenusal side is obtained as follows :— It has been shown that the three plane angles, and the three inclinations ofsolid angles, consisting of three plane angles, are found exactly as the sides and angles of spheric triangles, any three parts being given ; the degrees of the plane angles being exactly the same as the sides of the spheric triangles, and the inclinations the proper measures of the spheric angles; therefore, if two of the plane angles should be perpendicular to each other, the spheric triangle representing this solid angle will have also two of its sides perpendicular to each other. Now, in this, there are given the two sides containing the right angle to find the hypothenuse and angles. It is shown, by writers on spherical trigonometry, that in any right-angled spherical triangle, radius is to the cosine of either of the sides, as the cosine of the other side to the cosine of the hypothenuse. Suppose the plane angle FCL to be 27°, and the angle FCH 52°, to find the hypothenuse and angles of a right-angled spherical triangle, one of whose legs is 27° and the other 52°, it will therefore be— As radius, sine of 90° = 1000000 Is to the cosine ofF c L, 27° = 9.94988 So is the cosine ofF C H 52° , : 9.78934 19,73922 10.00000 To the cosine of the hypothenusal side 56° 44? 9.73922 HIP 498 HIP This ascertains the angle which thejack-rafter makes with the hip. Since all the sides are now given, we shall have, by another wellvknown property, of the sines of the Sides being as the sines of the opposite angles, the followmg pro- portion :— As the sine of the hypothenuse 56° 44’ _ 9.92227 Is to the sine of a right angle, or 90° : 10.00000 So is the sine of the side F C H, 52°............ : 9.89653 19.89653 9.92227 To the sine of the opposite angle 70° 28'...... : 9.97426 Therefore the backing is twice 70° 28’......... : 140° 56’ In finding the angle opposite the side FCII, it was not necessary that the hypothenusal side should have first been found. It might have been found independently thus :——The sine of either of the sides about the right angle is to radius, as the tangent of the remaining side is to the tangent of the angle opposite to that side ; therefore, As the sine of the side F CL, 27°............... : 9.65705, Is to the tangent of the side F C H 52°.... ...... : 10.10719 So is radius, sine of 90° : 10.00000 20.l0719 9.65705 To the tangent of the angle opposite the side F C H, 70° 28' ...... . .............. ......... : 10.45014 , In the same manner may other bevels be found by trigo- nometrical calculations; but as such extreme exactness is not necessary, the geometrical constructions ought to be well understood. EXAMPLE IL— The figure A B C D (Figure 2) of the wall- plate of a hip span-roof; and the height of the roofbeing given; tofind the backing of the hips, the angles made upon the sides ofthe purlins by their longitudinal arrises, and the angles made upon the sides of the jack-rafters ,- the roof being equally inclined to the difl‘erent sides of the building, except at the oblique end, A B. Figure 2.——Let the two sides, A B, A D, and D C of the wall— plate be at right angles to each other, and the end CB at oblique angles to A B and C D ; draw the seat, E F, of the ridge in the middle of the breadth, parallel to A B and D C ; make A G and D H equal to half the breadth of the building ; join G H, which will be the seat of the common rafters adjoining the hips; make E I equal to the height of the roof; and draw IG and I H, which are the length of the common rafters. Draw ED and E A, the seats of the hips; make E K equal to E I ; and draw K A, which gives the length of each hip. Through any point, L, in the seat of the hip AE, draw M N perpendicular to AE, cutting the adjacent sides of the wall- plate at M and N; take the nearest distance from L to the rafter AK, and. make LO equal to it ; and draw 0 M and 0 N ; and M o N is the backing of the hips, represented by their seats A E and D E. This operation is the same as having the two legs of a right-angled solid angle to find the angle opposite to one of the legs; the angle MON being exactly the double of the angle so found ; for the hip angle of the roof consists of two equal solid angles. Suppose the bevel end at C B to be inclined at a different angle to the other sides, and let F C and F B be the seats of the hips; draw I“ Q perpendicular to F C, and F P perpendicu- lar to F B, each equal to the height of the roof; then draw Q C and P B, which are the lengths of the hip-rafters. The backings su'r and VW x, are found in the same manner as above, and may be described in the same words. From A, with the distance A K, describe an arc cutting G H at J, andjoin A J; then G JA will be the side bevel, which the jack-rafters make with the hips ; and if a right angle be added to GJA, it will form an obtuse angle, which is that made by the upper arris of the side of a purlin placed in the. inclined side of the roof with the hip-rafter. Let a be the position of a purlin in the rafter H I; in G H take any point, b, and draw be parallel to the inward direc- tion of the purlin a ; from b, with any distance, b c, describe an arc cd, cutting G H at d; draw b e, of, and dg, parallel to E F ; the former two cutting E D at e andf; drawfg parallel to G H, and join eg ; produce b e to h; and h eg, or b eg will be the angle required, according to which side it is applied : this will be found synonymous to one of the legs, and the adjacent angle of a right-angled solid angle being given, to find the hypothenuse. In the same manner, if neither side of the purlin should be parallel to the inclined side of the roof, as at h in the rafter G I, the bevel or angle upon each side may be found, as shown. Plate II.—Figure 3, shows half the angle of the backing of the hips, the length of the common and hip-rafters, the bevel of the jack-rafters on their upper sides in an equal inclined roof, without laying down or drawing any more than the necessary seats; and this is all that is necessary when each side of the‘ roof is alike ; AB being the wall-plate between the hip and the rafter which joins the top of the hip, AC the seat of the rafter which joins the top of the hip, BC hip, B E the length of the hips, C H G half the backing, A D B the angle which the jack-rafters form with the upper sides of the hips, and, consequently, with the addition of a right- angle, the side bevel of the purlin. Figure 4, shows the same bevels, except that the side joint against the hip-rafter. F A C shows the form of the heel of the common rafters, and E B C that ofthe hips. Figure 5, is a diagram showing the length of the parts and angles concerned in the roof, in the same manner as above; but the plan of the building, or form of the wall-plate, is a a level on the top, from the top of the hips at the narrow end to the other extremity, as otherwise the roof must either wind, or be brought to a ridge forming a line inclined to the horizon; and either of the two last cases is very unsightly. But, that nothing should be wanting, the construction is given in the next figure. Plate III.—Figure 6.—To lay out an irregular roof in ledgment, with all its beams bevel upon the plan, so that the ridge may be level when finished ,- the plan and height if the roof being given. The lengths of the common and hip-rafters are found as usual. From each side in the broadest end of the roof, , through 0 and I), draw two lines parallel to the ridge-line; Besides the angles already mentioned, A F C Figure 3, shows = the angle formed by the upper side of the rafter and the ridge- 3 piece, and the angle BE C, the angle which the top side of 3 the hips makes with a vertical or plumb-line: also the angle é that of the hip, A F the length of the rafter which joins the _ of the purlin is found by a different process, thus: from B, ‘. with the distance B A, describe an are at D; from G, with the 3 distance AC, describe another arc, cutting the former at D; ‘ join B D, and the angle GB D will be the angle in the plane of . the roof, made by the lower arris of the purlin and the joint : quadrilateral, which has neither part of its opposite sides par- ‘ allel ; the method of executing the roof in this case is to form ‘ 0 HE P ROOF ' PLATE 1. I71}; . J. \ // x; F NW _— — V ,, .J ___._._1‘}: / l// \ / L1 ,' / ,Vs' / / . /r' v w W“: ”L \\ WWW \ \~ 13 '1‘ // / // // ‘ / ‘ g /'/ / § g [If]; , 1’. w G N\ A \\ 0/ \\ , . \ “\L/ \ , :‘_"_’:: \, \\ / \ / / [/1' 4 “““““ ”*7 ,/ I I _ _ F“ ‘ J» l.’ " II a Wu ,/' 4Q .~V-7V~———~W / . ' > 1 ‘ f , '*"’“__"" 5/ ‘ H I) Q’ ”(2} » m , .r. 531%» M H {1” R (D 4'» F. 11/1775 ll. /"1}/. (I. m. r/. :\ \\ ‘ HE H E" R 9 (D H”, [2117']; III. PIATE. IV. R (D (I) F H H P fig. 7. HIP 499 HIP _ draw lines from the centres and ends of the beams, perpen- dicular to the ridge-line, and lay out the two sides of the roof 2 and 3, by making E D at 3 equal to XN in l, the length of the longest common rafter, and ca in 3 equal to u (3 at A, and so on with all the other rafters. Tojind the winding of this roof—Take y &, half the base of the shortest rafter, and apply this to the base of the longest rafter from z to 1; then the distance from 1 to 2 shows the quantity of windinou To lay the sides in winding.—Lay a straight beam along the top ends of the rafters at E, that is, from c to E, and lay another beam along the line A B, parallel to it, to take the ends of the hip—rafters at M and L, and the beams to be made out of winding at first. Raise the beam that lies from a to B, at the point B, to the distance 1 2 above the level; which beam, being thus raised, will elevate all the ends of the rafters gradually, the same as they would be when in their places. The same is to be understood of the other side D ; the ends are laid down in the same manner as in making a triangle of any three dimensions. In this example, the purlins are supposed to be framed into the sides of the rafters flush, so that the lop of the purlins may be flush with the back of the rafters. The manner of framing the dragon beams and diagonal ties, is shown at the angles. Plate IV.—Fz'gure 7, shows the manner of framing a roof when the sides are square. The purlins are prepared to bridge over the rafters, which are notched out of the sides next to the back, in order to receive them. HIPPIUM, in antiquity, that part of the hippodrome which was beaten by the horses’ feet. HIPPODROME, (from the Latin, hippodromus, composed of immg, horse, and Epopog, course, of the verb 595,111», curro, I run,) in antiquity, a list, or course, wherein chariot and horse—races were performed, and horses exercised. The Olympian hippodrome, or horse-course, was a space of ground 600 paces long, surrounded with a wall, near the city Elis, and on the banks of the river Alpheus. It was uneven, and in some degree irregular, on account of the situ- ation; in one part was a hill of moderate height, and the circuit was adorned with temples, altars, and other embellish- ments. Pausauias has given us the following account of this hippodrome, or horse-course :——“ As you pass out of the stadium, by the seat of the Hellanodics, into the place appointed for the horse-races, you come to the barrier (a¢5gtg) where the horses and chariots rendezvous before they enter into the course. This barrier, in its figure, resembles the prow of a ship, with the rostrum or beak turned towards the course. The other end, which joins on to the portico of Agaptus, (so called from him who built it) is very broad. At the extremity of the rostrum or beak, over a bar that runs across the entrance (em rayon/09,) is placed a figure of a dolphin in brass. (This dolphin is a symbol of Neptune, sur- natned Hippian or Equestrian, for his having produced a horse by striking the earth with his trident, according to the fable ; without the recollection of this circumstance, the reader might be surprised to meet with the figure of a dolphin in a horse-course.) On the two sides of the barrier, each of which is above 400 feet in length, are built stands or lodges, as well for the riding-horses as the chariots, which are distributed by lot among the competitors in those races ; and before all these lodges is stretched a cable, from one end to the other, to serve the purpose of a barrier. About the middle of the prow is erected an altar, built of unburnt brick, which, every Olympiad, is plastered over with fresh mortar; and upon the altar stands a brazen eagle, which spreads out its wings to a great length. This eagle, by means of a machine, which is put in motion by the president of the horse—races, is made to mount up at once to such a height in the air, as to become visible to all the spectators; and, at the same time, the brazen dolphin before mentioned sinks to the ground. Upon that signal, the cables stretched before the lodges, on either side of the portico of Agaptus, are first. let loose, and the horses there stationed move out and advance, till they come over against the lodges of those who drew the second lot, which are then likewise opened. The same order is observed by all the rest, and in this manner they proceed through the beak or rostrum; before which they are drawn up in one line, or front, ready to begin the race, and make trial of the skill of the charioteers and fleetness of the horses. On that side of the course, which is formed by a terrace raised with earth, and which is the largest of the two sides, near to the passage that leads out of the course across the terrace, stands an altar, of a round figure, dedicated to Taraxippus, the terror of the horses, as his name imports. The other side of the course is formed, not by a terrace of earth, but a hill of moderate height, at the end of which is erected a temple, consecrated to Ceres Chamyne, whose priestess has the privi- lege of seeing the Olympic games.” There is a very famous hippodrome at Constantinople, which was began by Alexander Severus, and finished by Constantine. This circus, called by the Turks Atmeidan, is 400 paces long, and above 100 paces wide, 2'. e. geometrical paces of five feet each. Wheeler says, it was in length about 550 ordinary paces, and in breadth about 120; or, allowing each pace to be five feet, 2,750 feet long and 600 broad. At the entrance of the hippodrome there is a pyramidal obelisk of granite, in one piece, about 50 feet high, terminating in a point, and charged with hieroglyphics, erected on a pedestal of eight or ten feet above the ground. The Greek and Latin inscriptions on its base show that it was erected by Theodo- sius; the machines that were employed to raise it were represented upon it in basso—relievo. The beauty of the hippodrome at Constantinople has been long since defaced by the rude hands of the Turkish conque- rors ; but, under the similar appellation of Atmez'dan, it still serves as a place of exercise for their horses. Whether the Olympic hypodrome was so long or so wide as this of Con- stantinople, it is not now easy to determine; but it must evidently have been Considerably longer than an ordinary stadium, in order to allow for the turnings of the chariots and horses round the pillars which served as metas or goals, without running againSt them, or against one another. The length of the Course, or the distance between the two metas or goals, is not easily ascertained. It is probable, however, that the two pillars, viz, that from which the horses started, and that round which they turned, which divided the course into two equal lengths, were two stadia distant from each other; consequently, the whole length of the race, for a chariot drawn by full-aged horses, consisting of 12 roundS, amounted to 48 stadia, or six Grecian miles ; and that of the chariot drawn by Colts consisted of eight rounds, or 32 stadia, or four Grecian miles—a Grecian mile, according to Arbuth- not’s computation, being somewhat more than 800 paces, whereas an English mile is equal to 1,056. Pausanias informs us, that in the Olympic hippodrome, near that pillar called Nyssé, probably that which was erected at the lower end of the course, stood a brazen statue of Hippodamia, holding in her hand a sacred fillet or diadem, prepared to bind the head of Pelops for his victory over (Enomaus ; and it is probable that the whole space between the pillars was filled with statues or altars, as that in the hippodrome at Constantinople seems to have been. Het'e, hOWever, stood ? it were, the heart of the brick being removed. , temperature is ensured in the interior. ; less easily communicated by them than by common bricks. H00 500 HOT the tripod, or table, on which were placed the olive-crowns and the branches of palm destined for the victors. Besides the hippodromes at Olympia and Constantinople, there were courses of a similar kind at Carthage, Alexandria in Egypt, and other places. We have some vestiges in England of the hippodrome, in which the ancient inhabitants of this country performed their races. The most remarkable is that near Stonehenge, which Is a long tract of ground, about 350 feet, or 200 druid cubits wide, and more than a mile and three-quarters, or 6,000 druid cubits in length, enclosed quite round with a bank of earth, extending directly east and west. The goal and career are at the east end. The goal is a high bank of earth, raised with a slope inwards, on which the judges are supposed to have sat. The metre are two tumuli, or small barrows, at the west end of the course. These hippodromes were called, in the language of the country, ricedagua, the racer rhedagwr, and the carriage rlzeda, from the British word rhedeg, to run. One of these hippodromes, about half a mile to the southward of Leicester, retains evident traces of the old name r/zedagua, in the corrupted one of rawdikes. There is another of these, says Dr. Stukely, near Dorchester, another on the banks of the river Lowther, near Penryth, in Cumberland, and another in the valley just without the town of Royston. HISTORICAL COLUMNS. See COLUMN. BOARDING, (from the Saxon,) an enclosure about a building, while erecting or under repair. HOIS'I‘, an apparatus, or lift, for raising bodies from a lower to an upper story in a building. HOLLOW, (from lwle,) a concave moulding, whose section is about the quadrant of a circle. It is, by some writers, called easement. HOLLOW BRICKS, a kind of brick recently invented, moulded of various sizes and shapes, but usually of larger size than those commonly in use. They are mere shells, as The advan- tages claimed for such bricks are their superior strength when considered with reference to the quantity of material; and as a consequence, their comparative lightness, a quality which tells in very many ways. In the manufacture, they are more evenly baked and dried, the heat being equally distributed over every part; and hence their texture and hardness are more to be depended upon than in solid bricks. When used for houses, there is much less fear of damp than in new work as at present constructed; and an equability of Sound also is much It has been proposed to construct them with grooves and ledges, or with some similar contrivance, so that they may be titted compactly together in a short space of time, for temporary or other purposes. Floors also are proposed to be constructed of the same materials, so as to render buildings entirely fire-proof. HOLLOW NEWEL, an opening in the middle of a staircase. The term is used in contradistinction to solid newel, into which the ends of the steps are built. In the hollow newel, or well-hole, the steps are only supported at one end by the surrounding wall of the staircase, the ends next the hollow ‘ being unsupported. HOLLOW \VALL, a wall built in two thicknesses, having a cavity between, either for the purpose of saving materials, or to preserve a uniform temperature in the apartments. HOLLOW QUOINS, in engineering, piers of stone or large bricks, made behind each lock-gate of a canal, which are formed into a hollow from top to bottom, to receive the rounded head of the lock-gates. In some instances, the shape, and fixed vertically against the wall. Cast-iron is also now frequently used for forming the hollow quoin or hinge for the lock-gates of large canals, or the entrance- basons to docks. HOMESTALL, or HOMESTEAD, the place of a man- sion-house; the word is used in some counties to signify the original house or dwelling attached to an estate. HOMOLOGOUS, (from dpvog, similar, A0709, reason,) in geometry, the correspondent sides of similar figures. HOOD—MOULD, a band or string carried over any aper- ture, such as a door or window ; more particularly employed in Pointed architecture : the term is synonymous with LABEL and WEATHER MOULDING. HOOK PINS, in carpentry, iron pins made tapering towards one end, for the purpose of drawing the pieces of a frame together, as in floors, roofs, 8L0. In joinery, the pins which answer a similar purpose are called DRAW-BORE PINs. HOOKS, (Saxon) bent pieces of iron, used to fasten bodies together, or to hang articles on, out of the way. They are of various kinds, some of iron and some of brass; as case- ment-hooks, chimney-hooks, which are made of both brass and iron ; curtain-hooks, hooks for doors and gates, double- line-hooks, tenter-hooks, armour-hooks, &c. HORDING. See BOARDING. HORIZONTAL CORNICE, of a pediment, the level part under the two inclined cornices. HORIZONTAL LINE, in perspective, the vanishing lines of planes parallel to_the horizon. HORIZONTAL PLANE, a plane passing through the eye, parallel to the horizon, and producing the vanishing line of all level planes. HORIZONTAL PROJECTION, the projection made on a plane parallel to the horizon. This may be understood either per— spectively or orthographically, according as the projecting rays are directed to a given point, or are perpendicular to the horizon. HORN, (Saxon) a name sometimes applied to the Ionic volute. HORSE PATH, in engineering, a name sometimes applied to the towing-path by the side of canals, and narrow navigable rivers, for the use of the towing or track horses. HORSE RUN, in engineering, a simple and useful modern contrivance, for drawing up loaded wheel-barrows of soil from the deep cuttings of canals, docks, &c. by the help of a horse which goes backwards and forwards, instead of round, as in a horse-gin. HORSING BLOCK, a square frame of strong boards, used by navvigators or canal diggers for elevating the ends of their wheeling planks. HOSPITAL. According to present usage, the term is applied to buildings endowed by public or private charity, as infirmaries, in which invalids are lodged and attended; but in Olden times the term was used to signify any building ‘ erected for charitable purposes, as for the reliet'of the indigent, the entertaimnent of travellers, &c. HOSTEL, 0r HOTEL, a French term, anciently signifying a house, but now more commonly used for the palaces or houses of the king, princes, dukes, and great lords. The word is also applied to large inns, taverns, or places of public entertainment. HOT-HOUSE, in horticulture, is a structure in which eXotic plants are cultivated, under circumstances approximat- ing, as closely as possible, to those under which they natu- : rally exist; or it is used for accelerating the production of flowers and fruits of either indigenous or exotic plants. Hot- 3 houses appropriated to the latter purposes are very frequently hollow quoin is formal of one piece of oak, cut to the proper l termed jbrcing-houses. HOT 501 HOT In the beginning of the seventeenth century, that descrip- tion of hot-house generally termed the green-house began to be constructed in Germany; and one in the Apothecaries’ Garden at Chelsea is mentioned by Ray in 1684. These, like many others of a later construction, had glass only in the front, which was perpendicular ; and the mode of apply- , ing artificial heat exhibited little more knowledge of means for the end, than the remains of flues found in the ruins of the dwelling-houses and baths of the Romans. In l724,qwhen Switzer published his treatise entitled “ The Practical Fruit Gardener,” the principles of managing hot- houses were still very imperfectly understood ; for he observes, p. 305, that “ peaches, nectarines, and apricots don’t love to be forced; at least, the fruit is very seldom good: there being much occasion to keep the glasses close, the fruit is always rendered flat and insipid. This is not pure speculation, but the result of the practice that I have observed in the glass-houses at Brompton Park.” Considerable alterations, particularly in houses for grapes, were made towards the end of the last century. The most material improvement was the substitution of a slanting glass 3 roof for a perpendicular glass front; but the advantages of this were much diminished by the heaviness of the sashes, and the large quantity of opaque matter which it was thought necessary to employ in order to ensure the durability of such structures. In the present century great advances have been made in - hot-house building, and more particularly since 1815. The application of heat by steam or hot water through iron pipeS, and the admission of a greater quantity of light by glazing 3 on metallic bars, instead of wooden sashes, are the principal 1 features of these improvements. The employment of hollow bricks, too, will probably prove of great advantage, although we are not aware of their adoption in any building at present erected. See CONSERVATORY. Those houses which are intended for the peach, nectarine, cherry,fig, &c. should, in cold situations, be constructed against lwalls, and made with glass on one side. But in climates ‘ less severe, houses formed of glass on all the sides, having ; the trees so planted as to grow irregularly in the standard ‘ method, will be more beneficial as well as more ornamental. For the forcing of vines, they may be of any kind of form, either small or large, according to the season at which the trees are to be brought into fruit. But a double-roofed house, with an inner roofing, is recommended as the most proper for general crops, as well as the cheapest in cost of erecting. In the general construction of these houses, a wall of eight or ten feet in height, or more, is raised behind, with a low wall in front and both ends, on which is placed upright glass- work, four, five, or six feet in height, and a sloping glass roof, extending from the top of the front to the back wall. Internal fines for fire-heat, in winter, are also contrived, and a capacious oblong or square pit in the bottom space, in which to have a constant bark—bed, to furnish a continual regular heat at all seasons ; so as in the whole to warm the enclosed internal air always to a certain temperature. Houses thus formed are generally used in raising pines. Hot-houses are mostly ranged lengthwise, nearly east and west, that the glasses of the front and roof may have the full . influence of the sun. This is the most convenient situation for common houses, either for pines or exotic plants. But some houses of the sort, instead of being placed in this direc- tion, are ranged directly south and north, having a sloped roof to each side, like the roof of a house; as also to the , front or south end ; both sides and the south-end front being ‘ of glass. These houses are made from ten or twelve to II 6 M I M *_., ,,______, fifteen or twenty feet wide, the length at pleasure ; and from ten to twelve feet high in the middle, both sides fully head- height ; being formed by a brick wall all round, raised only two or three feet on both sides, and south. end ; but carried up at the north end like the gable of a house. Upon the top of the side and south-end walling is erected the framing for the glass-work, which is sometimes formed two or three feet upright, immediately on the top of the wall, having the sloped glass-work above; and sometimes wholly of a con- tinued slope on both sides, rising immediately from the top of the side-walls to that of the middle ridge. They are furnished , either with one or two bark-pits; but if of any considerable width, generally with two, ranging parallel, one under each slope of the top glass, and separated by a two-foot path run- ning along the middle of the house, and sometimes continued all round each pit, with flues ranged along against the inside walls ; the whole terminating in an upright funnel, or chimney, at the north end of the building. There are other I hot—houses which are formed entirely on the square, having a 3 ten or twelve feet brick wall behind ; that of the front, and ‘ both sides, being only two or three feet high, for the support of the glass-work, which is placed nearly upright almost the same height, and sloped above on both sides and front, 1 which are wholly of glass. These are furnished within with bark-pits and flues, as in the previous instances. In particular cases they are made semicircular, or entirely ; circular, being formed with a two or three feet brick wall supporting the glass-framing, which is continued quite round. 1 The bark-pit. is also circular, and the fines, after being carried 1 all round the inside of the walling, terminate in a chimney on 1 the northern side of the house. However, the first forms j are probably the best for general purposes. Hothouses on these plans are made of different dimensions, . according to the size of the plants they are designed to con- 1 tain. For common purposes they should be only of a mode- ‘ rate height, not exceeding ten or twelve to fourteen feet ’ behind, and five or six in front; some are, however, built much more lofty behind, to give sufficient height for the taller-growing exotics, placed toward the back part. Those of the first-described size are, however, best adapted to the ‘ culture of pines, and other moderate-growing plants, as well i as for forcing in. Very lofty houses require a greater force 7 of heat, and by the glasses being so high, the plants naturally i tending towards the glasses, receive less benefit from the sun, and are apt to draw up too fast into long slender leaves and stems. Where the top-glasses are at a moderate distance from the plants, they receive the benefit of the sun’s heat more fully, which is essential in winter, become more stalky at bottom, assume (particularly the pine-apple) a more robust and firm growth, and are rendered more capable of producing large fruit in the season. After having determined on the dimensions of the house as to length and width, the foundations of brick-work should be set out accordingly, allowing due width at the bottom to sup- port the flues a foot wide, wholly on the brick basis; de- tached an inch or two from the main walls ; then setting off the back or north-wall, a brick and a half or two bricks thick, and the front and end walls nine inches, carry up the back wall from ten to fourteen feet high ; those of the front and ends to be only from about two feet to a yard. Take care in carrying up the walls to allot a proper space for a door-way, at one or both ends, towards the back part; setting out also the furnace or fire—place of the fines in the bottom foundation, towards one end of the back wall behind, formed also of brick-work, made to communicate with the lowermost flue within. \Vhen the house is of great length, as forty feet or more, a fire-place at each end may be necessary ; or, if more HOT convenient, both may be in the back part of the end walls, or in the middle way of the back wall; each must communi- cate with a separate range of fines. In either case they should be formed wholly on the outside of the walls, about tWelve or fourteen inches wide in the clear, but more in lengthwise inward ; the inner end terminating in a funnel to communicate internally with the fiues. An iron-barred grate should be fixed at bottom to support the fuel, and calculated for coal, wood, peat, turf, 8w. An ash-hole should be made underneath. The mouth or fuel-door should be about ten or twelve inches square, having an iron frame and door fixed to shut with an iron latch, as close as possible. The whole furnace should be raised sixteen or eighteen inches in the clear, finishing the top archwise. Then continue carrying up the walls of the building regularly, and on the inside erect the fiues close along the walls. It is sometimes advantageous to have the flues a little detached from the walls, one, two, or three inches, that, by being thus distinct, the heat may arise from both sides, which will be an advantage in more effectually diffusing the whole heat internally in the house; as, when they are attached close to the walls, a very considerable portion of the heat is lost in the part of the wall behind. In contriving the fiues, they should be continued along the front and both ends, in one range at least, in this order. But it is better if they are raised as high as the outward front and end walls, in one or . two ranges, one over the other. On the tops of these may I be placed pots of many small plants, both of the exotic and forcing kinds, with much convenience. In the construction of the fiues, make them generally about a foot wide in the whole, including six or eight inches in the clear, formed with a brick-work on edge; the first lower flue should communicate with the furnace or fire-place with- out, and be raised a little above it, to promote the draught of heat more freely. Continue it along above the internal level of the floor of the back alley or walk of the house the above width, and three bricks on edge deep, returning it in two or three ranges over one another, next the back wall, and in one or two along the ends and front wall, as the height may admit; each return two bricks on edge deep, and tiled or bricked over. In the beginning of the first bottom-flue a sliding iron regulator may be fixed, to use occasionally, in admitting more or less heat, being careful that the brick-work of each fiue is closely jointed with the best sort of mortar for that purpose, and well pointed within, that no smoke may break out. Have each return closely covered with broad square paving tiles on the brick-work; covering the upper- most fiues also with broad thick fiat tiles, the whole width, all very closely laid, and joined in mortar. The uppermost, or last range of flues, should terminate in an upright vent or chimney, at one end of the back wall ; and where there are two separate sets of fiues, there should be a chimney at each end. An iron slider in the termination of the last flue next the chimney may also be provided, to confine the heat more or less on particular occasions, as may be found necessary. Sometimes, in very wide houses, in erecting the fines, spare ones, for occasional use, are continued round the bark- pit, carried up against the surrounding wall, but detached an inch or two, to form a vacancy for the heat to come up more beneficially, and that, by having vent, it may not dry the tan of the bark-bed too much. In the beginning a sliding iron regulator may be fixed, either to admit or exclude the heat, as expedient ; so that the smoke, by running through a larger extent, may expend its heat wholly in the flues ; before it be discharged at the chimney. Great care should be taken that neither the fire-place nor fines be carried too near any of the wood-work of the buildings. After this work is done, the bark-pit, first allowing a space next the flues for an proceed to set out the cavity for I alley I or walk, eighteen inches or two feet all round, and then in 7 the middle space form the pit for the bark-bed, six or seven feet wide, the length in proportion to that of the house, and a l yard or more deep ; enclosing it by a surrounding wall. It. may either be sunk at bottom a little in the ground, raising ' the rest above by means of the parapet wall ; or, if there is danger of wet below, it should be raised a little above the general surface. The surrounding wall should be nine inches, but a half-brick wall is often made to do, especially for that part which forms the parapet above ground. It should be coped all round with a timber plate or kirb, framed and mortised together, which effectually secures the brick-work in its proper situation. The bottom of the pit should be levelled and well rammed, and, if paved with any coarse material, it is of advantage in preserving the bark. The path or alley round the pit should also be neatly paved with brick or stone, as may be most convenlent. The glass part, for enclosing the whole, should consist of ‘ a close continued range of glass sashes all along the front, both ends and roof, quite up to the back wall; each sash being three feet or three feet six inches wide; and for the support of these, framings of timber must be erected in the brick walling, conformable to the width and length of the sashes, the whole being neatly fixed. For the reception of the perpendicular glasses in the front and ends, a substantial timber plate must be placed along the top of the front and end walls, upon which should be erected uprights, at proper distances, framed to a plate or crown- piece above, of sufficient height to raise the whole front head- high, both ends corresponding with the front and back. To receive the sloping bars from the frame~work in front, a plate of timber must be framed to the back wall above, proper grooves being formed in the front plate below and above, to receive the ends of the perpendicular sashes, sliding close against the outside of the uprights all the way along the front. Or they may be contrived for only every other sash, to slide one on the side of the other, but the former is the better method. From the top of the upright framing in front should be carried substantial cross-bars or bearers, sloping to the back wall, where they are framed at both ends to the wood-work or plates, at regular distances, to receiVe and support the sloping glass sashes of the roof. These are placed close together upon the cross-bars or rafters, and generally range in two or more tiers, sliding one over the other, of sufficient length together to reach quite from the top of the upright framing in front to the top of the back wall. The cross-bars should be grooved lengthwise above, to carry off \vet falling between the frames of the sloping lights ; and the upper end of the tier of glasses should shut close up to the plate in the wall behind, running under a proper Coping of wood or lead, which must be fixed along above close to the wall, and lapped down, of due width to cover, and shoot off the wet sufficiently from the upper termination of the top sashes. Some wide houses have, exclusive of the sliding glass sashes of the main slope, a shorter upper tier of glass fixed; the upper ends being secured under a Coping as above, and the lower ends lapping over the top ends of the upper sliding tier, and this over that below in the same manner, so as to shoot the wet clear over each upper end or termination. Likewise, along the under outer edge of the top plate or crown-piece in front, may be a small channel to receive the water from the sloping glass sashes, and convey it to one or both ends without run~ ning down upon the upright sashes, being careful that the I being very careful to have the glazing well performed, and i proof against any wet that may happen to beat against them. ‘ The doors should have the upper parts sashed and glazed to ; correspond with the other glass-work of the house. 1 white-washed: and all the wood-work, within and without, , painted white in oil-colour. ‘ ported either by brackets suspended from the cross-bars HOU 503 HOU top part behind be well framed and secured water-tight, and the top of the back wall finished a little higher than the glass, with a neat coping the whole length of the building. The bars of wood which support the glasses should be neatly formed, and made neither very broad nor thick, to intercept the rays of the sun. Those, however, at top, should be made strong enough to support the glasses without bending under them. In wide heuses, uprights are arranged within, at proper distances to support the cross rafters more perfectly than could otherwise be the case. But in respect to the glass-work in the sloping sashes, the panes of glass should be laid in putty, with the ends lapping over each other about half an inch, the vacancies of which are, in some, closed up at bottom with putty, others leave each lapping of the panes open, for the admission of air,-and that the rancid vapours arising from the fermentation of the bark- bed, &c., within, may thereby be kept in constant motion, to diminish condensation, and also, that such as condense against the glasses may discharge themselves at those places without dropping upon the plants. The upright sashes in front may either be glazed as above, or the panes laid in lead-work; On the inside, the walls should be plastered, pargeted, and Some, however, have the back wall painted or coloured rather dark. Ranges of narrow shelves, for pots of small plants, may be erected where most. convenient, some behind over the fines, a single range near the top glasses towards the back part, sup- above, or by uprights erected on the parapet wall of the bark— pit. A range or two of narrow ones may also be placed occasionally along both ends above the fines, where there is a necessity for a very great number. In wide houses, where the cross-bars or bearers of the sloping or top glass sashes appear to want support, some neat uprights, either of wood or iron, may be erected upon the bark-bed walling, at convenient distances, and high enough to reach the bearers above. This is a neat mode of affording them support. On the outside, behind, should be erected a close shed, the whole length, or at least a small covered shed over each fire-place, with a door to shut, for the convenience of attending the fires. The former is much the best, as it will serve to defend the back of the house from the outward air, and to stow fuel; also for garden tools when not in use; as well as to lay portions of earth in occasionally, to have it dry for particular purposes in winter and early spring, as in forcing-frames, 8m. Sometimes hot—houses are furnished with top-covers, to draw over the glass sashes occasionally, in time of severe frosts and storms ; and sometimes by slight sliding shutters, fitted to the width of the separate sashes; but these are inconvenient, and require considerable time and trouble in their application. At other times they are formed of painted canvass, on long poles or rollers, fixed lengthwise along the tops of the houses, just above the upper ends of the top sashes, which, by means of lines and pulleys, are readily let down and rolled up, as there may be occasmn. HOVEL (Saxon), a low building, with some part of the lower side open, to afford shelter to young animals during Stormy weather. . . HOVELING, the carrying up of the sxdes of a chimney, that when the wind rushes over the mouth, the smoke may escape below the current, or against any one sale ot it. lhe , working up of the sides is covered at the top with tiles or bricks in a pyramidal form, in order to get rid of the incon- venience occasioned by adjoining buildings being higher than the chimney, or by its being in the eddy of any very lofty buildings, or in the vicinity of high trees; in which cases the covered side must be towards the building. HOUSE, a habitation, or a building constructed for shel- tering a man’s person and goods from the inclemencies of the weather, and the injuries of ill-disposed persons. Houses differ in magnitude, being of two or three, and four stories ; in the materials of which they consist, as wood, brick, or stone; and in the purposes for which they are designed, as a manor-house, farm-house, cottage, 8:0. A pleasure-house, or country-house, is one built for occa- sional residence, and for the pleasure and benefit ofretiremcnt, air, &c. This is the villa of the ancient Romans ; and what in Spain and Portugal they call quinta; in Provence, cassino; in some other parts of France, closerz'e; in Italy, ’vzgna. The citizens of Paris have also their maisons de bouteilles (bottle-houses) to retire to, and entertain their friends ; which, in Latin, might be called micce; the emperor Domitian having a house built for the like purpose, mentioned under this name by Martial. It is a thing principally to be aimed at, in the site or situation of a country-house, or seat, that it have wood and water near it. It is far better to have a house defended by trees than hills: for trees yield a cooling, refreshing, sweet, and healthy air and shade during the 'heat of the summer, and very much break the cold winds and tempests from every point in the winter. The hills, according to their situation, defend only from certain winds ; and, if they are on the north side of the house, as they defend from the cold air in the winter, so they also deprive you of the cool refreshing breezes which are commonly blown from thence in the summer; and if the hills are situate on the south side, they then prove also very inconvenient. A house should not be too low-seated, since this precludes the convenience of cellars. If you cannot avoid building on low grounds, set the first floor above the ground the higher, to supply what you want to sink in your cellar in the ground ; for in such low and moist grounds, it conduces much to the dryness andhealthiness of the air to have cellars under the house, so that the floors be good, and ceiled underneath. Houses built too high, in places obvious to the winds, and not Well defended by hills or trees, require more materials to build them, and more also of reparations to maintain them ; and they are not so commodious to the inhabitants as the lower-built houses, which may be built at a much easier rate, and also as complete and beautiful as the other. In houses not above two stories with the ground-room, and not exceeding twenty feet to the wall-plate, and upon a .good foundation, the length of two bricks, or eighteen inches for the heading course, will be sufficient for the ground-work of any common structure, and six or seven courses above the earth to a water-table, where the thickness of the walls is abated or taken in on either side the thickness of brick, namely, two inches and a quarter. For large and high houses, or buildings of three, four, or five stories, with the garrets, the walls of such edifices ought to be from the foundation to the first water-table three heading courses of brick, or 28 inches at least; and at every story a water-table, or taking in on the inside for the girders and joists to rest upon, laid into the middle, or one quarter of the wall at least, for the better bond. But as for the inner- most or partition wall, a half brick will be sufficiently thick ; HOU 504 HOU and for the upper stories, nine inches or a brick length will suffice. The general principles of the construction of edifices and private houses will be found under the article BUILDING. We shall under this head give a description of the private houses of the ancients :— Of the private dwellings of the ancients, we have but little or no account, and it is probable that they possessed but small pretensions to architectural grandeur. We hear of temples, palaces, and such like public buildings, and of these we have careful and detailed descriptions, but of the habita- tions of the mass of the people, we have only a cursory notice. This fact would lead us to believe that but little attention was paid to domestic buildings of the earlier periods of history, and such indeed seems to have been the case; all the care of the people being confined to the temples of their gods, and the palaces of their governors. With a proper though misplaced zeal, the taste of their architects was exhausted in erecting and adorning the habitations of their deities; and indeed in all ages and countries, the art seems to be principally indebted for its progress to the religious feelings of mankind. In his description of Babylon, Herodotus speaks of houses being ranged on either side of the various streets into which the city was divided, and of others of a smaller character, on either side of the outer wall, so placed as to allow of a wide passage or roadway between the two ranges. The former are described as consisting of three or four stories, and the latter of only one story. If we may form a judgment from the paintings of the ancient Egyptians, their domestic buildings were of very uniform character. Some houses were two or three stories in height, and these seem to have belonged to the more com- mon sort, but the larger mansions were only of one story, but of considerable extent in plan. They consisted of one or more rectangular courts surrounded by chambers similar to the existing specimens of Roman construction ; or sometimes a group of building was placed in the centre of such a court. The roofs, as in all Eastern buildings, were flat, and probably covered with an awning, as a protection from the heat. According to Pliny, the Greeks originally dwelt in caves, and were taught the art of house-building by two brothers, Euryalus and Hyperbius, who were 'l‘yrrhenians, from which nation buildings of all kinds are said to have been introduced into Greece. During their early history, up to the time of Aristides and Pericles, their dwellings were of a very simple description, nor did they arrive at any magnificence until the time of Alexander, when they had given themselves over to a luxurious mode of living. At this period their dwellings became of great extent, and were very highly embellished, being similar in form and arrangement to those of the Romans,—of which in all probability they afforded the idea,— but far inferior to them in extent and magnificence. Ere, however, the Romans had become thus extravagant in the adornment of their villas, they had passed through the same stages as their predecessors, and it was not until by their conquests they had become acquainted with the luxury of Asia and Greece, that they began to erect such splendid mansions. The villa of Marcus Cato, we are told, was so rude, that the walls were not even plastered; nor did that of Scipio Africanus, or the Villa Publica, greatly excel in richness of decoration. The first houses of the Romans were nothing better than simple cottages thatched with straw; and when the city was rebuilt after it was burned by the Gauls, the houses were mostly constructed of wood and covered with hingles, although of so great a height as to become danger- us. This was the case, even in the reign of Augustus. The greater part of the city was again destroyed by fire in the time of Nero, and was rebuilt in a more substantial and elegant manner; but we can form only a remote idea of the houses, having no examples remaining. The country seats or villas were the dwellings on which the higher classes expended the greatest care, and a full description of these will be found in Pliny’s Letters, which we proceed to give, but, before doing so, insert some remarks and directions on the subject by Vitruvius. 0f the private and public Apartments of Houses, and of their Construction according to the difl'erent Banks of People; (from Vitruvius.) “ These buildings being disposed to the proper aspects of ‘ the heavens, then the distribution of such places in private houses as are appropriated to the use of the master of the j house, and those which are common for strangers, must be i also considered: for into those that are thus appropriated, ‘ no one can enter unless invited ; such as the cubiculum, the ‘ triclinium, the bath, and others of similar use. The common are those which the people unasked may legally enter; such are the vestibulum, cavasdium, peristylium, and those that may answer the same purposes: but to persons of the com- , mon rank, the magnificent vestibulum, tablinum, or atrium, : are not necessary, because such persons pay their court to those who are courted by others. “ People who deal in the produce of the country must have 1 stalls and shops in their vestibules, and cryptae, horreae, and apothecae, in their houses, which should be constructed in such a manner as may best preserve their goods, rather than be elegant. The houses of bankers, and public offices, should be more commodious and handsome, and made secure from robbers; those of advocates and the learned, elegant and spacious, for the reception of company; but those of the nobles, who bear the honours of magistracy, and decide the affairs of the citizens, should have a princely vestibulum, lofty atrium, and ample peristylium, with groves and exten- sive ambulatories, erected in a majestic style ; besides libraries, pinacothecas, and basilieas, decorated in a manner similar to the magnificence of public buildings ; for in these places, both public affairs and private causes are oftentimes determined. Houses therefore being thus adapted to the various degrees of people, according to the rules of decor, explained in the first book, will not be liable to censure, and will be con- venient and suitable to all purposes. These rules also are applicable, not only to city houses, but likewise to those of the country; except that in those of the city the atrium is usually near the gate, whereas in the country pseudo—urbana, the peristylium is the first, and then the atrium; having a paved porticus around, looking to the palestra and ambulatories. “I have, as well as I have been able, briefly written the rules relative to city houses, as I proposed. I shall now treat of those in the country, how they may be made convenient, and in what manner they should be disposed. “ Of Country IIouses, with the Description and use of their l several Parts. “ In the first place, the country should be examined with ‘ regard to its salubrity, as written in the first book concerning the founding of a city, for in like manner villas are to be established. Their magnitude must be according to the quan- tity of land and its produce. The courts and their size must be determined by the number of cattle and yokes of oxen to be there employed. kitchen is to be situated, and adjoining thereto the ox-house, with the stalls turned towards the fire and the eastern sky ; for the cattle seeing the light and fire, are thereby rendered smooth-coated ; even husbandmen, although igncraut of the In the warmest part of the court, the . HOU 505 nature of aspects, think that cattle should look to no other part of the heavens than to that where the sun rises. The breadth of the ox-house should not be less than ten feet, nor more than fifteen; the length should be so much as to allow no less than seventeen feet to each yoke. “ The bath also is to be adjoined to the kitchen, for thus the place of bathing will not be far from those of the husbandry occupations. The press-room should be near the kitchen, that it may be convenient for the olive business; and adjoin- ing thereto the wine-cellar, having windows to the north; for, should they be toward any part which may be heated by the sun, the wine in that cellar would be disturbed by the heat, and become vapid. The oil-room is to be so situated as to have its light from the southern and hot aSpects; for oil ought not to be 'congealed, but be attenuated by a gentle heat. The dimensions of these rooms are to be regulated by the quantity of fruit, and the number of the vessels; which, if they be culleariae, should in the middle occupy four feet. Also, if the press be not worked by screws, but by levers, the press-room should not be less than forty feet long, that the pressers may have sufficient space: the breadth should not be less than sixteen feet, by which means there will be free room to turn, and to dispatch the work; but if there be two presses in the place, it ought to be twenty-four feet broad. The sheep and goat-houses should be so large, that not less than four feet and a half, nor more than six feet, may be allowed to each animal. The granary should be elevated from the ground, and look to the north or east, for thus the grain will not so soon be heated, but, being cooled by the air, will endure the longer : the other aspects generate worms and such vermin as usually destroy the grain. “ The stable, above all in the villa, should be built in the warmest place, and not look toward the fire, for if these cattle be stalled near the fire, they become rough-coated: nor are those stalls unuseful which are placed out of the kitchen, in the open air, toward the east ; for in the winter time, when the weather is serene, the beasts, being led thi- ther in the morning, may be cleaned while they are taking their food. “ The barn, hay-room, meal-room, and mill, are placed without the villa, that it may be more secure from the danger of fire. “ If the villa is to be built more elegantly, it must be constructed according to the symmetry of city houses, before described; but so as not to impede its use as a villa. “ Great care ought to be taken, that all buildings have sufficient light, which in villas is easily obtained; because there are no walls near to obstruct it. But in the city, either the height of the party-walls, or the narrowness of the streets, may occasion obscurity. It may, however, be thus tried : on the side where the light is to be received, let a line be extended from the top of the wall that seems to cause the obscurity, to that place to which the light is required ; and if, when looking up along that line, an ample space of the clear sky may be seen, the light to that place will not be obstructed ; but if beams, lintels, or floors, interfere, the upper parts must be opened, and thus the light be admitted. The upper rooms are thus to be managed: on whatsoever part of the heavens the prospect may lie, on that side the places of the windows are to be left, for thus the edifice will be best enlightened. As in tricliniums and such apartments, the light is highly necessary, so also is it in passages, ascents, and staircases, where people carrying burdens frequently meet each other. “ I have explained, as well as I have been able, the dis- tribution of our buildings, that they may not be unknown to those who build ; I shall now also briefly explain the dis- 6 N HOU tribution of houses, according to the custom of the Greeks, that they also may not be unknown. “ Of the Disposition of the Houses of the Greeks. “ The Greeks use no atrium, nor do they build in our manner ; but from the gate of entrance they make a passage of no great breadth: on one side of which is the stable, on the other, the porters’ rooms, and these are directly termi- nated by the inner gates. This place between the two gates is called by the Greeks thyroreion. After that, in entering, is the peristylium, which peristylium has porticos on three sides. 'On that side which looks to the south, are two antae, at an ample distance from each other, supporting beams, and so much as is equal to the distance between the antes, want- ing a third part, is given to the space inwardly; this place is called by some prostas, by others parastas. From this place, more inwardly, the great oeci are situated, in which the mis- tress of the family, with the workwomen, reside. On the right and left of the prostas, are cubiculae, of which one is called thalamus, and the other amphithalamas ; and in the surrounding porticos, the common tricliniums, cubiculums, and family rooms are erected. This part of the edifice is called gynwconitis. “ Adjoining to this is a larger house, having a more ample , peristylium, in which are four porticos of equal height, or sometimes the one which looks towards the south has higher columns: and this peristylium, which has one portico higher than the rest, is termed rhodium. In these houses they have elegant vestibulums, magnificent gates, and the porticos of the peristyliums are ornamented with stucco, plaster, and lucunariae, of inside work (wood) In the porticos which look to the north, are the Cyzicene triclinium, and pinacothecae; to the cast are the libraries, to the west the exedrae, and in those looking to the south are the square oeci, so large that they may easily contain four sets of dining couches, with the attendants, and a spacious place for the use of the games. In these oeci are made the men’s dining couches, for it is not their custom for the mothers of families to lie down to dine. This peristylium and part of the house is called androm'tides, because here the men only are invited Without being accom- panied by the women. “ On the right and left also, small houses are erected, having proper gates, triclinae, and convenient cubiculae, that when strangers arrive, they may not enter the peristylium, but be received in this hospitalium; for when the Greeks were more refined and opulent, they prepared tricliniae, cubiculae, and provisions, for strangers ; the first day inviting them to dinner, afterwards sending them poultry, eggs, herbs, fruits, and other productions of the country. Hence the pictures representing the sending of gifts to strangers, are by the painters called zenia. Masters Of families, therefore, while they abode in the hospitium, seemed not to be from home, having the full retirement in these hospitaliums. Between the peristylium and hospitalium are passages, which are called 'mesaulw; because they are situated between two aulw; these are by us called andronas; but it is remarkable that the Greeks and Latins do not in this agree; for the Greeks give the name of andronas to the oecus where the men usually dine, and which the women do not enter. “ It is the same also with some other words, as mstos, . prothyrum, telamones, and others; for wg/stos is the Greek: appellation of those broad porticos, in which the athletae exercise in winter time; whereas, we call the uncovered ‘ ambulatories wystos ; and which the Greeks call peridromz'das. The vestibula, which are before the gates, are by the Greeks E called prothym ; whereas, we call prothyra that which the The statues of men bearing mutules‘ Greeks call diathyra. or cornices we call telamones, for what reason Is not to. be l i HOU 506 HOU found in history ; but the Greeks call them atlantes ; Atlas being in history represented as supporting the world ; for he was the first who, by his ingenuity and diligence, discovered and taught mankind the course of the sun and moon, the rising and setting of all. the planets, and the revolutions of the heavens; for which benefit the painters and statuaries represented him bearing the whole earth; and the Atlantides, his children, which we call Vergilius, and the Greeks Pileiades, are placed among the stars in the heavens. I have not, however, mentioned this in order to change the customary names or manner of discoursing, but only to explain them, that these things might not be unknown to the lovers of knowledge.” Extracts from Pliny’s Letters. Description of the villa at Laurentinum. “ You are surprised, it seems, that I am so fond of my Laurentinum, or (if you like the appellation better) my Laurens; but you will cease to wonder, when I acquaint you with the beauty of the villa, the advantages of its situa- tion, and the extensive prospect of the sea-coast. It is but seventeen miles distant from Rome ; so that, having finished my affairs in town, I can pass my evenings here, without breaking in upon the business of the day. There are two different. roads to it: if you go by that of Laurentum, you must turn off at the fourteenth mile-stone; if by Ostia, at the eleventh. Both of them are, in some parts, sandy, which makes it somewhat heavy and tedious, if you travel in a carriage, but easy and pleasant to those who ride on horse- back. The landscape, on all sides, is extremely diversified, the prospect, in some places, being confined by woods, in others extending over large and beautiful meadows, where numberless flocks of sheep and herds of cattle, which the severity of the winter has driven from the mountains, fatten in the vernal warmth of this rich pasturage. My villa is large enough to afford all desirable accommodations, without being extensive. The porch before it is plain, but not mean, through which you enter into a portico in the form of the letter D, which includes a small but agreeable area. This affords a very commodious retreat in bad weather, not only as it is enclosed with windows, but particularly as it is shel- tered by an extraordinary projection of the roof. From the middle of this portico you pass into an inward court, ex- tremely pleasant, and from thence into a handsome hall, which runs out towards the sea ; so that when there is a south-west wind, it is gently washed with the waves, which spend them- selves at the foot of it. On every side of this hall, there are either folding-doors, or windows equally large, by which means you have a view from the front and the two sides, as it were, of three different seas : from the back part, you see the middle court, the portico, and the area ; and, by another View, you look through the portico into the porch, from whence the prospect is terminated by the woods and moun- tains which are seen at a distance. On the left-hand of this hall, somewhat farther from the sea, lies alarge drawing- roorn, and beyond that, a second of a smaller size, which has one window to the rising, and another to the setting sun: this has, likewise, a prospect of the sea, but being at a greater distance, is less incommoded by it. The angle which the projection of the hall forms with this drawing-room, retains and increases the warmth of the sun; and hither my family retreat in winter to perform their exercises: it is sheltered from all winds, except those which are generally attended With clouds, so that nothing can render this place useless, but what, at the same time, destroys the fair weather. Con- tiguous to this, is a room forming the segment of a circle, the Windows of which are so placed, as to receive the sun the whole day : in the walls are contrived a sort of cases, which contain a collection of such authors whose works can never be read too often. From hence you pass into a bed-chamber ‘ through a passage, which, being boarded, and suspended, as it 3 were, over a stove which runs underneath, tempers the heat which it receives, and conveys it to all parts of this room. The remainder of this side of the house is appropriated to the use of my slaves and freed-men: but most of the apartments, 1 however, are neat enough to receive any of my friends. In the opposite wing, is a room ornamented in a very elegant taste ; next to which lies another room, which, though large for a parlour, makes but amoderate dining-room ; it is exceed- ingly warmed and enlightened, not only by the direct rays of the sun, but by their reflection from the sea. Beyond, is a bed-chamber, together with its ante-chamber, the height of which renders it cool in summer ; as its being sheltered on . all sides from the winds makes it warm in winter. To this apartment another of the same sort is joined by one common wall. From thence you enter into the grand and spacious cooling-room, belonging to the bath, from the opposite walls of which, two round basons project, sufficiently large to swim ‘; in. Contiguous to this is the perfuming-room, then the sweating-room, and next to that, the furnace which conveys Q the heat to the baths : adjoining, are two other little bathing- [ rooms, fitted up in an elegant rather than costly manner: ; annexed to this, is a warm bath of extraordinary workman- ‘ ship, wherein one may swim, and have a prospect, at the same time, of the sea. Not far from hence, stands the tennis court, which lies open to the warmth of the afternoon sun. From thence you ascend a sort of turret, containing two : entire apartments below; as there are the same number i above, besides a dining-room which commands a very exten- , sive prospect of the sea, together with the beautiful villas ' that stand interspersed upon the coast. a second turret, in which is a room that receives the rising and setting sun. Behind this is a large repository, near to which is a gallery of curiosities, and underneath a spacious dining-room, where the roaring of the sea, even in a storm, is heard but faintly : it looks upon the garden, and the gestatio i which surrounds the garden. The gestatio is encompassed with a box-tree hedge, and where that is decayed, with rose- mary : for the box, in those parts which are sheltered by the buildings, preserves its verdure perfectly well ; but where, by an open situation, it lies exposed to the spray of the sea, though at a great distance, it entirely withers. Between the At the other end, is -‘ garden and this gestatio runs a shady plantation of vines, the ; alley of which is so soft, that you may walk bare-foot upon it j without any injury. and mulberry trees, to which this soil is as favourable, as it is averse from all others. In this place is a banqueting- room, which, though it stands remote from the sea, enjoys a prospect nothing inferior to that view: two apartments run round the back part of it, the windows whereof look upon the entrance of the villa, and into a very pleasant kitchen- ground. From hence an enclosed portico extends, which, by its great length, you might suppose erected for the use of the public. which looks towards the sea, they are double the number of those next the garden. The garden is chiefly planted with fig 3 It has a range of windows on each side, but on that ‘ \Vhen the weather is fair and . serene, these are all thrown open; but if it blows, those on ‘ the side the wind sets are shut, while the others remain un- closed without any inconvenience. Before this portico lies a terrace, perfumed with violets, and warmed by the reflection of the sun from the portico, which, as it retains the rays, so it- keeps off the north—east wind : and it is as warm on this side as it is cool on the opposite: in the same manner it proves a defence against the south-west ; and thus, in short, HOU 5 by means of its several sides, breaks the force of the winds from what point soever they blow. These are some of its winter advantages : they are still more considerable in summer ; for at that season it throws a shade upon the ter- race during all the forenoon, as it defends the gestatio, and that part of the garden which lies contiguous to it, from the afternoon sun, and casts a greater or less shade, as the day either increases or decreases; but the portico itself is then coolest, when the sun is most scorching, that is, when its rays fall directly upon the roof. T 0 these its benefits I must not forget to add, that, by setting open the windows, the western breezes have a free draught, and, by that means, the enclosed air is prevented from stagnating. On the upper end of the terrace and portico stands a detached building in the garden, which I call my favourite ; and indeed it is particu- larly so, having erected it myself. It contains a very warm winter-room, one side of which looks upon the terrace, the other has a view of the sea, and both lie exposed to the sun. Through the folding-doors you see the opposite cham- ber, and from the Window is a prospect of the enclosed por- tico. On that side next the sea, and opposite to the middle wall, stands a little elegant recess, which, by means of glass- doors and a curtain, is either laid into the adjoining room, or separated from it. It contains a couch and two chairs. As you lie upon this couch, from the feet you have a pros- pect of the sea; if you look behind, you see the neigh- bouring villas; and from the head you have a view of the woods: these three views may be seen either distinctly from so many different windows in the room, or blended together in one confused prospect. Adjoining to this is a bed- chamber, which neither the voice of the servants, the mur- muring of the sea, nor even the roaring of a tempest, can reach; not lightning nor the day itself can penetrate it, unless you open the windows. This profound tranquillity is occasioned by a passage, which separates the wall of this chamber from that of the garden; and thus, by means of that intervening space, every noise is precluded. Annexed to this is a small stove-room, which, by opening a little win- dow, warms the bed-chamber to the degree of heat required. Beyond this lies a chamber and ante-chamber, which enjoys the sun, though obliquely indeed, from the time it rises, till the afternoon. When I retire to this garden-apartment, I fancy myself a hundred miles from my own house, and take particular pleasure in it at the feast of the Saturnalia, when, by the license of that season of festivity, every other part of my villa resounds with the mirth of my domestics: thus I neither interrupt their diversions, nor they my studies. Among the pleasures and conveniences of this situation, there is one disadvantage, and that is, the want of a running stream; but this defect is, in a great measure, supplied by wells, or rather I should call them fountains, for they rise very near the surface. And, indeed, the quality of this coast is remarkable; for in what part soever you dig, you meet, upon the first turning up of the ground, with a spring of pure water, not in the least salt, though so near the sea. The neighbouring forests afford an abundant supply of fuel; as every other accommodation of life may be had from Ostia: to a moderate man, indeed, even the next village (between which and my house there is only one villa) would furnish all common necessaries. In that little place there are no less than three public baths ; which is a great conveniency, if it happen that my friends come in unexpectedly, or make too short a stay to allow time for preparing my own. The whole coast is beautifully diversified by the contiguous or detached villas that are spread upon it, which, whether you View them from the sea or the shore, have the appearance of so many different cities. The strand is sometimes, after a long calm, 07 HOU perfectly smooth, though, in general, by the storms driving the waves upon it, it is rough and uneven. I cannot boast that our sea produces any very extraordinary fish; however, it supplies us with exceeding fine soles and prawns ; but as to provisions of other kinds, my villa pretends to excel even inland countries, particularly in milk; for hither the cattle come from the meadows in great numbers, in pursuit of shade and water. “ Tell me now, have I not just cause to bestow my time and my affection upon this delightful retreat? Surely you are too fondly attached to the pleasures of the town, if you do not feel an inclination to take a view of this my favourite villa. I much wish, at least, you were so disposed, that to the many charms with which it abounds, it might have the very considerable addition of your company to recommend it. Farewell.” The following observations may tend to illustrate several of the obscure parts, in the foregoing description of Pliny’s villa at Laurentinum. Pliny had no estate round his seat at Laurentinum; his whole possessions there being included (as he informs us, B. 4. let. 3.) in the house and garden. It was merely a win- ter villa, in which he used to spend some of the cold months, whenever his business admitted of his absence from Rome; and, for this reason it is, that we find warmth is so much considered in the disposition of the several apartments, 8:0. And, indeed, he seems to have a principal view to its advan- tages as a winter house, throughout the whole description of it. Scamozzi, in his Arckz'tect. Univers. lib. 3. 12. has given a plan and elevation of this villa. Mons. Felibien has also annexed a plan to his translation of this letter ; as our own countryman, the ingenious Mr. Castel, has done in his Villas oft/1e Ancients illustrated. But they differ extremely among themselves as to the disposition of the several parts of this building, and, perhaps, have rather pursued the idea of modern architecture, than that which is traced out in their original ; at least, if the supposition advanced by one of the commentators upon this epistle be true; who contends that the villas of the ancients were not one uniform pile of build- ing contained under the same roof, but that each apartment formed a distinct and separate member from the rest. The ruins of this villa are said to have been discovered some time about the year 1714, but whether any plan was ever taken of so valuable a remain of antiquity, or the reality of it ascer- tained, the translator has not been able to learn. The Roman magnificence seems to have particularly dis- played itself in the article of their baths. Seneca, dating one of his epistles from a villa which once belonged to Scipio Africanus, takes occasion, from thence, to draw a parallel between the simplicity of the earlier ages, and the luxury of his own times in that instance. By the idea he gives of the latter, they were works of the highest splendour and expense. The walls were composed of Alexandrine marble, the veins whereof were so artfully managed, as to have the appearance of a regular picture : the edges of the basons were set round with a most valuable kind of stone, found in Thasius, one of the Greek islands, variegated with veins of different colours, interspersed with streaks of gold; the water was conveyed through silver pipes, and fell, by several descents, in beau- tiful cascades. The floors were inlaid with precious gems, and an intermixture of statues and colonnades contributed to throw an air of elegance and grandeur upon the whole. Vide Sen. Ep. 86. “ The custom of bathing in hot water was bec0me so habitual to the Romans, in Pliny’s time, that they every day practised it before they lay down to eat; for which reason, HOU 508 HOU ir't the city, the public baths were extremely numerous; in which Vitruvius gives us to understand, there were, for each sex, three rooms for bathing, one of cold water, one of warm, and one still warmer ; and there were cells of three degrees of heat, for sweating : to the fore-mentioned members, were added others for anointing and bodily exercises. The last thing they did before they entered into the dining-room was to bathe ; what preceded their washing was their exercise in the spheristerium, prior to which it was their custom to anoint themselves. As for their sweating-rooms, though they were, doubtless, in all their baths, we do not find them used but upon particular occassions.” Castel’s Villas of the Ancients, p. 31. “ The enclosed porticos in Pliny’s description differed no otherwise from our present galleries, than that they had pillars in them : the use of this room was for walking.” Castel’s Villas, p. 44. Mr. Castel observes, that though Pliny calls his house Villula ,- it appears that, after having described but part of it, yet, if every diaata or entire apartment may be supposed to contain three rooms, he has taken notice of no less than forty-six, besides all which, there remains near half the house undescribed, which was, as he says, allotted to the use of the servants ; and it is very probable this part was made uniform with that he has already described. But it must be remem- bered, that diminutives in Latin do not always imply small- ness of size, but are frequently used as words of endearment and approbation; and in this sense it seems most probable that Pliny here uses the word Vill'ula. The following is Pliny’s description of his summer villa in Tuscany, book v. letter vi. addressed to Apollinaris. “ The kind concern you expressed when you heard of my design to pass the summer at my villa in Tuscany, and your obliging endeavours to dissuade me from going to a place which you think unhealthy, are extremely pleasing to me. I con- fess, the atmosphere of that part of Tuscany, which lies towars the coast, is thick and unwholesome: but my house is situated at a great distance from the sea, under one of the Apennine mountains, which, of all others, is most esteemed for the clearness of its air. But that you may be relieved from all apprehensions on my account, I will give you a de- scription of the temperature of the climate, the situation of the country, and the beauty of my villa, which I am per- suaded you will read with as much pleasure as I shall relate. The winters are severe and cold, so that myrtles, olives, and trees of that kind, which delight in constant warmth, will not flourish here : but it produces bay-trees in great perfec- tion ; yet, sometimes, though indeed not oftener than in the neighbourhood of Rome, they are killed by the severity of the seasons. The summers are exceedingly temperate, and continually attended with refreshing breezes, which are sel- dom interrupted by high winds. If you were to come here, and see the numbers of old men who have lived to be grand- fathers and great-grandfathers, and hear the stories they can entertain you with of their ancestors, you would fancy your- self born in some former age. The disposition of the country is the most beautiful that can be imagined ; figure to your- self an immense amphitheatre ; but such as the hand of nature only could form. Before you lies a vast extended plain, bounded by a range of mountains, whose summits are covered with lofty and venerable woods, which supply variety of game: from thence, as the mountains decline, they are adorned with underwoods. Intermixed with these are little hills of so strong and fat a soil, that it would be difficult to find a single stone upon them ; their fertility is nothing inferior to the lowest grounds ; and though their harvest, in- deed, is somewhat later, their crops are as well matured. At the foot of these hills the eye is presented, wherever it turns, with one unbroken view of numberless vineyards, terminated by a border, as it were, of shrubs. From thence you have a prospect of the adjoining fields and meadows below. The soil of the former is so extremely stiff, and, upon the first ploughing, turns up in such vast clods, that it is necessary to go over it nine several times, with the largest oxen and the strongest ploughs, before they can be thoroughly broken; whilst the enamelled meadows produce trefoil, and other kinds of herbage, as fine and tender as if it were but just sprung up, being continually refreshed by never failing rills. But though the country abounds with great plenty of water, there are no marshes ; for, as it lies upon a rising ground, whatever water it receives without absorbing, runs off into the Tiber. This river, which winds through the middle of the meadows, is navigable only in the winter and spring, at which seasons it transports, the produce of the lands to Rome ; but its channel is so extremely low in summer, that it scarcely deserves the name of a river ; towards the autumn, however, . It begins again to renew its claim to that title—You could ' not be more agreeably entertained, than by taking a view of the face of this country from the top of one of our neighbour- i ing mountains : you would suppose that not a real, but some imaginary landscape, painted by the most exquisite pencil, . lay before you: such an harmonious variety of beautiful objects meets the eye, which way soever it turns. My villa is so advantageously situated, that it commands a full view of . all the country round ; yet you approach it by so insensible % a rise, that you find yourSelf upon an eminence, without per- ceiving'you ascended. Behind, but at a great distance, stands the Apennine mountains. refreshed by the winds that blow from thence, but so spent, as it were, by the long tract of land they travc: over, that they are entirely divested of all their strength and violence before they reach us. The exposition of the principal front of the house is full south, and seems to invite the afternoon sun in summer (but somewhat earlier in winter) into a spacious and well—proportioned portico, consisting of several members, particularly a porch built in the ancient manner. In the calmest days we are 3 In the front of the portieo is a sort of terrace, embellished : with various figures, and bounded with a box-hedge, from whence you descend by an easy slope, adorned with the representation of divers animals, in box, answering alternately to each other, into a lawn overspread with the soft, I had almost said the liquid, acanthus: this is surrounded by a walk enclosed with tonsile evergreens, shaped into a variety of forms. a circus, ornamented in the middle with box cut in number- less different figures, together with a plantation of shrubs, prevented by the shears from shooting up too high : the whole is fenced in with a wall covered by box, rising by different ranges to the top. On the outside ofthe wall lies a meadow that owes as many beauties to nature, as all I have been describing within does to art ; at the end of which are several other meadows and fields interspersed with thickets. At the extremity of this portico stands a grand dining-room, which opens upon one end of the terrace; as from the windows there is a very extensive prospect over the meadows up into the country, from whence you also have a view of the terrace, and such parts of the house which project forward, together with the woods enclosing the adjacent hippodrome. Opposite almost to the centre of the portico, stands a square edifice, which encompasses a small area, shaded by four plane-trees, in the midst of which a fountain rises, from whence the water, running over the edges ofa marble bason, gently refreshes the surrounding plaue~trees, and the verdure underneath them. This apartment consists of a bed-chamber, secured Beyond it is the gestatio, laid out in the form of HOU 509 HOU from every kind of noise, and which the light itself cannot penetrate; together with a common dining-room, which I use when I have none but intimate friends with me. A second portico looks upon this little area, and has the same prospect with the former I just now described. There is, besides, another room, which, being situated close to the nearest plane-tree, enjoys a constant shade and verdure : its sides are incrusted half-way with carved marble ; and from thence to the ceiling a foliage is painted with birds intermixed among the branches, which has an effect altogether as agree- able as that of the carving: at the basis a little fountain, playing through several small pipes into a vase, produces a most pleasing murmur. From a corner of this portico you enter into a very spacious chamber, opposite to the grand dining-room, which, from some of its windows, has a view of ‘ the terrace, and from others, of the meadow ; as those in the ' very well supplies his absence. front look upon a cascade, which entertains at once both the eye and the ear ; for the water, dashing from a great height, foams over the marble bason that receives it below. This room is extremely warm in winter, being much exposed to the sun ; and in a cloudy day, the heat of an adjoining stove From hence you pass through I a spacious and pleasant undressing-room into the cold-bath- room, in which is a large gloomy bath: but if you are dis- posed to swim more at large, or in warmer water, in the J middle of the area is a wide bason for that purpose, and near the hot-bath, which projects farther. it a reservoir from whence you may be supplied with cold water to brace yourself again, if you should perceive you are too much relaxed by the warm. Contiguous to the cold- bath is another of a moderate degree of heat, which enjoys the kindly warmth of the sun, but not so intensely as that of This last consists of 1 three divisions, each of different degrees of heat: the two 3' former lie entirely open to the sun ; the latter, though not so . much exposed to its rays, receives an equal share of its light. ‘ Over the undressing-room is built the tennis-court, which, by means of particular circles, admits of different kinds of games. Not far from the baths, is the staircase leading to the enclosed portico, after you have first passed through three apartments : a one of these looks upon the little area with the four plane- . they have as many different prospects as expositions. trees round it; the other has a sight of the meadows; and from the third you have a View of several vineyards : so that At a one end of the enclosed portico, and, indeed, taken off from it, is a chamber that looks upon the hippodrome, the vine- ' yards, and the mountains ; adjoining is a room which has a full exposure to the sun, especially in winter; and from I whence runs an apartment that connects the hippodrome with 3 the house : such is the form and aspect of the front. On the j side, rises an enclosed summer portico, which has not only a prospect of the vineyards, but seems almost contiguous to them. From the middle of this portico, you enter a dining-room, cooled by the salutary breezes from the Apennine valleys ; from the windows in the back front, which are extremely large, there is a prospect of the vineyards ; as you have also another view of them from the folding-doors, through the sum- mer portico. Along that side of this dining-room, where there are no windows, runs a private staircase for the greater con- veniency of serving at entertainments : at the farther end is a chamber from whence the eye is pleased with a View of the vine- yards, and (what is not less agreeable) of the portico. Under- neath this room is an enclosed portico, somewhat resembling a grotto, which, enjoying, in the midst of the summer heats, its own natural coolness, neither admits nor wants the refresh- ment of external breezes. After you have passed both these porticos, at the end of the dining-room stands a third, which, as the day is more or less advanced, serves either for winter 6 o or summer use. It leads to two difl'erent apartments, one containing four chambers, the other three; each enjoying, by turns, both sun and shade. In the front of these agree- able buildings, lies a very spacious hippodrome, entirely open in the middle, by which means the eye, upon your first entrance, takes in its whole extent at one glance. It is encompassed on every side with plane-trees, covered with ivy, so that while their heads flourish with their own foliage, their bodies enjoy a borrowed verdure; and thus, the ivy twining round the trunk and branches, spreads from tree to tree, and connects them together. Between each plane-tree are planted box-trees, and behind these, bay-trees, which » blend their shade with that of the planes. This plantation, forming a straight boundary on both sides of the hippodrome, bends at the farther end into a semi-circle, which being set round and sheltered with cypress-trees, varies the prospect, and casts a deeper gloom; while the inward circular walks, (for there are several) enjoying an open exposure, are per- fumed with roses, and connect, by a very pleasing contrast, the coolness of the shade with the warmth of the sun. llaving passed through these several winding alleys, you enter a straight walk, which breaks out into a variety of ethers, divided by box edges. In one place you have a little meadow; in another, the box is cut into a thousand different forms ; sometimes into letters, expressing the name of the master; sometimes that of the artificer; whilst here and there little obelisks rise intermixed alternately with fruit-trees: when, on a sudden, in the midst of this elegant regularity, you are surprised with an imitation of the negligent beauties of rural nature: in the centre of whichlies aspot surrounded with a knot of dwarf plane-trees. Beyond these is awalk planted with the smooth and twining acanthus, where the trees are also cut into a variety of names and shapes. At the upper end is an alcove of white marble, shaded with vines, supported by four small Carystian pillars, From this bench the water, gushing through several little pipes, as if it were pressed out by the weight of the persons who repose themselves upon it, falls into a stone cistern underneath, from whence it is received into a finely polished marble bason, so artfully contrived, that it is always full without ever overflowing. When I sup here, this bason serves for a table, the larger sort of dishes being placed round the margin, while the smaller ones swim about in the form of little vessels and water-fowl. Corresponding to this, is a fountain which is incessantly emptying and filling; for the water which it throws up a great height, falling back into it, is, by means of two openings, returned as fast as it is received. Fronting the alcove (and which reflects as great an ornament to it, as it borrows from it) stands a summer-house of exquisite marble, the doors whereof project and open into a green enclosure; as from its upper and lower windows, the eye is presented with a variety of different verdures. Next to this is a little private recess (which, though it seems distinct, may be laid into the same room) furnished with'a couch; and, notwithstanding it has windows on every side, yet it enjoys a very agreeable gloominess, by means of a spreading vine which climbs to the top, and entirely overshades it. Here you may recline and fancy yourself in a wood; with this difference only, that you are not exposed to the weather. In this place a fountain also rises, and instantly disappears : in different quarters are disposed several marble seats, which serve, no less than the summer-house, as so many reliefs after one is wearied with walking. Near each seat is a little foun- tain; and, throughout the whole hippodrome, several small rills run murmuring along, wheresoever the hand of art thought proper to conduct them, watering here and there different spots of verdure, and, in their progress, refreshing the whole. HOU 5 HOU “ And now, I should not have hazarded the imputation of being too minute in this detail, if I had not proposed to lead you into every corner of my house and gardens. You will hardly, I imagine, think it a trouble to read the description of a place which, I am persuaded, would please you were you to see it ; especially as you have it in your power to stop, and, by throwing aside my letter, sit down, as it were, and rest yourself as often as you think proper. I had, at the same time, a View to my own gratification ; as, I confess, I have a very great affection for this villa, which was chiefly built or finished by myself. In a word (for why should I conceal from my friend my sentiments, whether right or wrong?) I look upon it as the first duty of every writer frequently to throw his eyes upon his title-page, and to con- sider well the subject he has proposed to himself; and he may be assured, if he precisely pursues his plan, he cannot justly be thought tedious; whereas, on the contrary, if he suffers himself to wander from it, he will most certainly incur that censure. Homer, you know, has employed many verses in the description of the arms of Achilles, as Virgil also has in those of JEueas ; yet neither of them are prolix, because they each keep within the limits of their original design. Aratus, you see, is not deemed too circumstantial, though he traces and enumerates the minutest stars ; for he does not go out of his way for that purpose, he only follows where his subject leads him. In the same manner (to compare small things with great) ifendeavouring to give you an idea of my house, I have not deviated into any article foreign to the purpose, it is not my letter which describes, but my villa which is described, that is to be considered as large. But not to dwell any longer upon this digression, lest I should myself be condemned by the maxim I have just laid down; I have new informed you why I prefer my Tuscan villa to thOSe which I possess at Tusculum, Tiber, and Praeneste. Besides the advantages already mentioned, I here enjoy a more profound retirement, as I am at a further distance from the business of the town, and the interruptirn of troublesome avocations. All is calm and composed; circumstances which. contribute, no less than its clear air and unclouded sky, to that health of body and cheerfulness of mind which I parti- cularly enjoy in this place; both which I preserve by the exercise of study and hunting. Indeed, there is no place which agrees better with all my family in general; I am sure, at least, I have not yet lost one (and I speak it with the sentiments I ought) of all those I brought with me hither: may the gods continue that happiness to me, and that honour to my villa ! Farewell!” This villa in Tuscany was Pliny’s principal seat, lying about 150 miles from Rome, and in which he usually resided during the summer season. The reader will observe, there- fore, that he considers it in a very different manner from that of Laurentinum (his winter villa,) both with respect to the situation and the house itself. Cluver, in his geography, has placed this villa a little above Tgfermcm Tiberium, now called Citta di Castello, where our author built a temple at his own expense. This has given room to imagine that possibly there may be yet some remaining traces of thishouse to be discovered in Tuscany, near a town which the Italians call Stintignano, in the neighbourhood of Pontc di San Stefano, about ten miles north of an episcopal city now called Borgo di San Scpulc/tro. Amongst the Jews, Greeks, and Romans, houses were flat at top, so that persons might walk upon them ; and usually had stairs on the outside, by which they might ascend and descend without coming into the house. Each house, in fact, was so laid out that it enclosed a quadrangular area or court. This court was exposed to the weather, and being open to the sky, gave light to the house. This was the place where ! company was received, and for that purpose it was strewed ‘ with mats or carpets for their better accommodation. It was . paved with marble or other materials, according to the Z owner’s ability, and provided with an umbrella of vellum, to shelter them from the heat and inclemencies of the weather. : This part of their houses, called by the Romans implu'vium 1 or cava radium, was provided with channels to carry off the water into the common sewers. The top of the home was § level, and covered with a strong plaster, by way of terrace. Hither, especially amongst the Jews, it was customary to retire for meditation, private converse, devotion, or the enjoyment of the evening breezes. Some examples of the domestic buildings of the Romans still exist at Herculaneum and Pompeii, but they by no means equal those above described. At the former place ‘ the houses are small, and only one story in height ; but at the ‘ latter we have a few on a somewhat grander scale. There f are about 80 houses standing in this town, of which those of Diomedes, Sallust, and Pansa, are the finest; the second standing upon a plot of ground about 40 yards square ; and the latter occupying, with its court and garden, a space of about 100 yards by 40. 3 Towards the close of the last, and commencement of the present century, some few examples have also been discovered in our own country. The most important is that at IVood- chester, in Gloucestershire, which was discovered by Mr. Lysons in 1795, -and consists of a large open court or atrium, an inner court, and a smaller one in the wing—the whole being surrounded with offices and apartments about sixty in number. The length of the apartments is about 25 feet. Another example in the same county was discovered in 1818, at Great Witcombe. Another example is that at Bignor, Sussex, discovered by Mr. Lysons in 1811, of which we give the following description, extracted from the original account, and partially from Stuart’s Dictionary :— “The first discovery of this villa occurred in 1811. A farmer who occupied the land, in removing the earth, dis- covered a fine mosaic pavement, which was afterwards found to have formed a part of the floor to one of the rooms. In the centre of this apartment was an hexagonal piscina, or cistern, formed of a hard white sort of stone, 4 feet in diameter, and 1 foot 7% inches in depth, with a border of stone round it 9% inches wide, and a step within it, at nearly half its depth, 5?},- inches wide; at the bottom is a round hole, 3 inches in diameter, from which a leaden pipe for carrying off the water was afterwards discovered on the outside of the south wall, running in a southern direction. The room appeared to have been heated by an hypocaust, and, in clear- ing away the earth, part of a small Doric column was found. In the next room discovered, the walls remained to the height of more than two feet at the north-east corner, where was a. funnel above the pavement, communicating with the hypo- caust below. The pavement was in good preservation ; and the dimensions of the room were 40 feet 4 inches by 17 feet. The first room, 31 feet 11 inches by 19 feet. The walls on the east, west, and north sides, were 2 feet 6 inches thick; that on the south, 3 feet. This is conjectured to have been the triclinium, or grand banqueting room. Another pave- ment was found in a third room, at the end of which, opposite from the room last mentioned, was a doorway 3 feet 3% inches wide, leading into another room, 22 feet by 10 feet 4 inches -—the pavement formed of coarse red tesserte. 0n the south side of the great pavement. the foundations of a cryptopor- ticus were discovered, which appears to have been of much larger dimensions than any one hitherto discovered in this island; it was 10 feet wide, and 157 feet 6 inches long. Its HOU tesselated pavement was destroyed, except at the west end; on the north side of this gallery the foundation-walls of a range of rooms was discovered, running eastward, in a line with the great room first discovered. The one which adjoined that room on the east side was 19 feet 2 inches by 18 feet 9 inches, and had a floor of terras of a light red colour. The next room to the eastward was nearly of the same dimensions, and had a coarse tessellated pavement. Adjoining the two last-mentioned rooms on the north side, were the foun- dations of one 16 feet square, containing a mosaic pavement. The prwfumium of the hypocaust, by which the great room and others had been heated, was discovered on the north side of the north wall of the third-mentioned room, and consisted ; of two walls 18 inches thick and 18 inches asunder, project- ing 16 inches from the wall of the building; between them was a kind of arch formed by bricks projecting beyond each other, and communicating with the flues under the different pavements; about 30 feet north of the room, marked 5, in Mr. Lysons’ plan, a very fine mosaic pavement was dis- covered, and a magnificent apartment, marked 3, was traced, to which 5 was found to have served as an ante-room. The i wall on the north side of this room was found to continue ‘ 32 feet towards the west, where it terminated with a projec- tion or buttress of two feet, forming two sides of what ' appeared to have been a kind of court, enclosing an area of 30 feet, filled with great quantities of stones, bricks, and tiles. At a small distance from the west wall of the great room, last described, the base and part of the shaft of a small ‘ column were discovered. At the west end of the ante-room, 5, was a very small room, 4, (9 feet by 12 feet,) having two doorways, one on the east, opening into 5, and the other on the north, communicating with the square area marked 1. The continuation of the east wall of the room 11, at the west end, or rather the continuation of the cryptoporticus, was next explored to the southward, and traces of it were found to the extent of 100 feet. The room 27, adjoining 26, had its walls still remaining on the east, north, and south sides, to about two feet high, which were covered with stucco ; two inches thick, painted red, with a skirting of plaster at ‘ two inches high, projecting two inches and a half from the wall. On the east side was found, in good preservation, a fireplace 21% inches wide in front, 17 at the back, and 8 deep, with a hearth formed of 8 bricks, each about 7 inches square. The fireplace was formed by two brick tiles on each side, which had been cramped together with iron, and were placed on the sides of the stove introduced by Count Rumford. I am not aware, Mr. Lysons observes, of any open fireplace of this kind having been discovered elsewhere in the remains of a Roman building, though it is certain, from various pas- sages in the Roman writers, that other means were employed by the ancients for warming their apartments, besides hypo- causts. The caminu/sis mentioned by Cicero, Horace,Vitruv1us, and others; but the learned commentators on these authors . are by no means agreed as to its form or situation, and it has been much questioned by some of them, on the authority of several passages in ancient writers, and from none havmg been discovered in Roman buildings, whether there was any chimney, or other means of conveying away the smoke, though it is hardly to be conceived that a room could have been habitable under such circumstances at tunes, when it was necessary to close the doors and windows. This room was 1412- by 17; the room 29 was 16 feet 5 inches by 15 feet 6 inches, and against the wall was another fireplace resembling the one described: .The range of rooms running eastward from the great trichniumawhere found to extend the whole length of the cryptoporticus 10.11. On the south side of the building, another cryptoporticus was 511 HOU discovered, marked 45; which communicated with a range of 12 rooms, containing nothing remarkable except those at the east end, which furnished many interesting remains of baths. The room 56 is nearly a square of 25 feet, and con- tained a finely preserved mosaic pavement. Beyond this mosaic pavement were three rows of black and red tiles, 6 inches square, laid chequer-wise; and next to the wall a row of bricks, each 11 inches by 15%. Great part of a. small stone column was found on the pavement, in the same style as the fragment first discovered, being a sort of irregular Doric, the tori of the base being both of the same size. The adjoining room 55 was 30 feet by 25; the floor formed of black and white stones, and next to the wall a row of bricks. Nearly in the middle, was a cold bath 18 feet from east to west, and 3 feet 2 inches deep; it had 3 steps on the east, north, and west sides. On the west side of this room appeared the remains of an extensive hypocaust, marked 53.54; and from the frequency of the brick piers, it appeared that the apartment over it must have been a sudatory, probably divided into several smaller rooms. The praefurnium was on the outside of the wall, on the south end ; the piers were 2 feet 9 inches high, and 7% inches square, and consisted of 18 layers of bricks, with a larger one 10% inches square, laid at the top and bottom. In room 52 adjoining, was another hypocaust, communicating with a larger one by an arch of brick. The area No. 1 was in another examination found to be surrounded by an inner wall, which appeared to have formed a kind of portico; and an entire column was found resembling the fragments found before, which showed that it had been surrounded by a colonnade. A cold bath was also found in the apartment marked 21. Mr. Lysons thinks the villas to have been the residence of aproprwtor, or at least of the legate or governor of the province. At the time Mr. Lysons first communicated an account of this villa to the Archaeologia, the discovery was confined to the rooms marked No. 1 to 26. During the years 1816 and 1817, by tracing the foundations of the walls on the east and west sides of the great court, it was discovered that the cryptoporticus extended all round. The western crypto— porticus 46, was 8 feet wide and 108 long, including a small room 45, at the north end, which had a mosaic pavement. Several rooms, No. 27, 51, 52, 53, 54, 55, 56 and 57, besides the cryptoporticus and passages, were discovered on the western side of the great court, most of them extending into an arable field belonging to the rector of Bignor. No remains of pavements were discovered in this division of the building, except those in the cryptoporticus above mentioned, and some fragments of the coarser kind in the rooms No. 28 and 29. Many large tesserae were found among the rubbish in the passage No. 50. By digging further to the eastward of the single wall mentioned in the former account, that wall was ascertained to be part of an Eastern cryptoporticus. Nos. 60 and 61, which completed the enclosure of the great court, and the foundations of the buildings, were discovered in a field called the Loure-field, extending 181 feet eastward. Nos. 62 to 71.; several of these buildings were of large dimensions, and they were enclosed within a boundary wall of considerable thickness, not built at right angles with the eastern side of the principal court, but in a very irregular manner, the following being the dimensions of the several sides of this court, viz. : the eastern side 277 feet 4 inches; the west side 385 feet 5 inches; the north side 286 feet; and the south side 322 feet 8 inches. It would appear reasonable to suppose that the Britons must have advanced considerably in the civilized arts of-life, by such examples of Roman luxury as were afforded in their larger residences, such as that above described, for although 9 about this time. IIOU 512 HOU not equal to those in Rome, it is evident that they were of considerable dimensions, and decorated with taste and skill, in proof of which we have only to refer to the mosaics and paintings. Whether, however, the Britons did not profit by such examples ; or whether they were prevented by external circumstances from turning their increased skill and know- ledge to practical account, it is tolerably certain that they did not improve so much in these matters as they might rea- sonably be expected to have done. It is true, that after the departure of the Romans, they were fully employed in resisting the attacks of their rougher neighbours, and probably had but little time for cultivating the arts of peace. They cannot have made much progress in house-building before the arrival and successful invasion of the Saxons; for had they, we should certainly look for some proof of it in the erections of their invaders, and this we do not find. Most of their churches and cathedrals, or at least of the earlier ones, seem to have been constructed of timber, and we cannot therefore suppose that their domestic buildings were erected in a more durable or costly manner. William of Malmsbury speaks of them as “low and mean dwellings ;” they were probably constructed of wood, and roofed with reeds and straw. But even in Norman times, and for some period after the Conquest, there seems to have been but little progress made in this respect. The principal buildings erected for habitation immediately after the con- quest of the Normans, consisted of small round towers raised on a mound, and designed with an eye to security rather than convenience. Located in an enemy’s country, and in the midst of men who, although conquered in battle, were never- theless impatient of their victors’ control, and unsubdued in courage, it became a matter of necessity to secure themselves against the contingency of a sudden attack, and William found it a matter of policy to promote the erection of fortified residences by his followers. The earliest buildings of this kind were simple towers, either round, rectangular, or poly- gonal in plan, and of small size, but of considerable strength, the walls being sometimes as much as 12 feet in thickness, while the external diameter of the entire building did not measure more than from 40 to 50 feet. The windows and apertures were very narrow, and the entrance raised several feet above the ground, and approached by a steep flight of steps. Such a building is the keep at Conisborough, erected It is circular in plan, about 90 feet in height, which is divided into three stories, the lowermost, which is lighted only from the interior, being used probably as a dungeon; the next, in which is the entrance, as a store- room ; and the upper ones, for residence. The interior dia- meter, in this instance, is about 23 feet, and the thickness of the walls from 10 to 13 feet. At a somewhat later period, such towers or keeps were surrounded by a court enclosed within a strong wall and ditch, the former being strengthened by towers at intervals, and the latter crossed at the entrance by a drawbridge, which was defended by an advanced out- work or watch—tower, termed the barbacan. In such castles the keep was not used as a place of residence, except in cases of danger or emergency, more convenient and roomy apart- ments being provided in the towers or court-yard. We next arrive at the Edwardian castles, which present an improved appearance. The keep was now dispensed with, the castle being still strongly fortified by an outer wall, with towers at intervals ; but greater attention seems to have been paid to convenience and domestic comfort ; and the buildings begin to assume the character of a fortified resi- dence rather than of a mere stronghold : strength is evidently not the only property considered, although still a necessary qualification. Caernarvon castle is a good example of this date. During the fourteenth century, the sterner features of castles were considerably mod fied, and assumed a lighter and more peaceful appearance. The apartments were enlarged, and rendered at once more commodious and agreeable. The apertures of the windows also were considerably enlarged, and, late in the period, filled with tracery in the heads. Examples exist at Windsor, Warwick, and Kenilworth. It must not be forgotten, however, that during all this time there was in existence a different class of dwellings of a less imposing character, but perhaps more strictly entitled to the appellation of' domestic buildings. They are included under the general term of manor houses. Previous to the thirteenth century, houses were built of? timber, and at first only of one story, being somewhat in the form of the inverted hull of a ship, formed of timber frame- work, the intervals being filled in with horizontal planks. Afterwards, this hull was raised on walls, likewise of timber frame-work filled up with clay, stones, and plaster. Stowe ‘ says that the houses in London of this period were not more ‘ than 16 feet in height; built of wood, and covered with reeds and straw. The general plan seems to have been that of a parallelogram, and where there were two stories, the approach to the upper was by an external staircase. The lower story was vaulted, and lighted by small windows; but there does not appear to have been any convenience for warming, except in the upper floor, where there is a hearth in the middle of the floor with smoke-hole above: the windows also of the _ upper floor were larger than those below. In some instances, 5 the building was surrounded by a moat. An example of this kind exists at Boothby Pagnel, Lincolnshire. In some houses of the same date, the principal feature was the hall, which extends the whole height of the building, and is sometimes divided into aisles similar to those of a church, as in the palace of the bishop of Hereford. In the thirteenth century the same general plan was pre- served; but at its close, some little differences occur, as at Little VVenham Hall, Suffolk, where, above the general range of building, which is two-storied, one portion is carried up an additional story, so as to present externally the appearance of a tower. In this example, the lower portion of the build- ing is constructed of flint and stone, and the upper part of brick—a material not found in any previous example, and not generally used for a considerable time afterwards. Square towers were common additions to the houses of the next century, the plans of which were more varied than those of preceding periods. The Mote, Ightam, Kent, is an exam- ple of this date ; it. is square on plan, and surrounded by a moat. Timber houses of this date exist at York and Salis- bury, with ornamental barge-boards, which appear to have been introduced about this time, as were also dormer windows and chimney-shafts. In the fifteenth century, the erection of castles, as distin- guished from manor-houses, may be said to have ceased ; the ‘ two were merged together, as it were; for although the dwellings were still fortified, they were incapable of a regular ‘ siege, as comfort was no less considered than security. Houses were erected of all shapes and materials, and often considerably ornamented. The square plan, amongst others, was still in use, as was also the surrounding moat, although the latter was not so frequent as formerly. Chimneys became common at this period, and Several shafts were often con- nected into one stack. Panelled ceilings were now intro- duced, both of wood and plaster ; and the windows became 3 large, and highly ornamented ; bay and oriel windows were common. The internal walls of large mansions were often painted, or hung with tapestry, and, towards the close of the century, lined with wainscot. Examples of this date are l t HOU Eton College, Eltham and Hampton - Court palaces, and Crosby-Hall, Timber houses, which have the spaces be- tween the timbers filled with ornamented plaster, are also of this date. Brick came into very general use during this century. During the commencement of the next century, the houses retained much the same character, although perhaps some- what more enriched, and occasionally with some introduc- tions of Italian work. Ere the close, however, the Italian style had become predominant, which gives a vast difference in the buildings of the sixteenth century. The ceilings of this last style were entirely of plaster, which is often highly enriched with carving. Ornamental staircases and galleries were first introduced at this period, but open balus— ters were not common at the first, the space below the hand- rail being filled up with plaster. Timber houses are still common, and often of good design, the intervals between the quartering being filled with bricks or plaster. Examples of this date are Wollaston-Hall, Nottinghamshire; Longleat, Wiltshire; the Quarries, Rochester; and Little Charlton House, Kent. During the next century, the Italian style of building continued to prevail, the Gothic features gradually dis- appearing until they werc entirely lost in the works of Inigo Jones, Vanbrugh, &c. Amongst the earlier works may be mentioned Audley End, Essex ; Hatfield House, Herts ; and Holland House, near London; and amongst the latter, the spacious mansions of Blenheim and Castle Howard. In the earlier Domestic buildings of this country but little attention was given to comfort. For a very long period the houses were constructed of a timber framing, either covered with planks, or having the intervals between the parts of the framing filled in with clay. Such materials of course rendered the houses subject to frequent conflagrations ; and in cities where the houses were closely packed toge- ther in narrow streets, such accidents were most destructive. A law was enacted by Richard I., that all houses in the city should be built to a certain height of stone, and covered with slate or tiles ; and after the fire, which consumed the greater part of Oxford in 1190, the same precaution was adopted in that city; and in cases where the people were too poor to effect this, a high stone wall, built up between every fourth or fifth house, was deemed suflicient. In these cases, how- ever, the stonework was only rough rubble-work. Brick was introduced from Flanders, and we do not find any instance of its employment in this country until the close of the thirteenth century at Wenham-Hall, where the lower part is of stone, and the upper story of brick. This material did not come into general use until the reign of Henry VI, at the early part of the fifteenth century, but before its close it was very much employed. In the interiors, the walls were, in most cases, left bare, or sometimes painted or hung w/ith arras or tapestry sus- pended on hooks three or four inches from the wall. This ornamentation, however, was seldom introduced but in regal mansions, or such as vied with them in splendour ; they were by no means of frequent or common use, nor were probably employed at all till the fourteenth century. There was a splendid specimen of tapestry in Warwick Castlein 134%, and Chaucer, who lived a few years later, in describing his chamber, says— “ All the walls with colours fine, Were paint both text and glose ;" The floors were either of earth or stone, but at a later period were rough-cast with plaster and pebbles, and the dais, or upper end of the hall, plankcd. They were strewed 6 P 513 :HOU with straw, or leaves, even in royal residences, for we hear of parties holding lands of Edward I., on condition of pro- v1ding straw for strewing the king’s chamber in winter, and herbs in summer; and Fitzstephen tells us, that Thomas a Becket, when chancellor to Henry IL, “had his hall strewed every day in the winter, with fresh straw or hay, and in the summer with rushes and green leaves fresh gathered, that such knights as the benches could not contain, might not dirty their fine clothes when they sat on the floor.” From this we learn, that such litter served for a seat even in great houses; it also served for a bed amongst a lower class of persons. ‘ The fireplace was in the centre of the hall, where logs of wood were supported on dogs, the smoke being allowed to find its way as best it could, through an opening in the roof, which was usually covered with a small turret or lantern, the sides being left open, or filled with louvre-boards. There does not seem to have been any means of warming the smaller chambers, except by pans of charcoal. It is true, we find chimneys in Winwall House, which is supposed to belong to the twelfth century, but this is an unique specimen, and it is certain that they were not in use for a considerable period after that. At Rochester and Hedingham Castles also, we have examples, but the fines are carried up only a very short dis- tance in the wall, and then- turned out. Early examples of chimneys are found at Conway Castle, built by Edward I. in the middle of the thirteenth century, and at Kenilworth of about the same date. These, however, are but exceptions; chimney flues were not common in the fourteenth century. Glass for windows does not seem to have been in use in any other than ecclesiastical buildings, until the time of Edward I., and then it was of very rare occurrence, to be . found only in the halls of princes. adopted for the admission of light consisted in the insertion The common practice ; of louvre-boards in apertures at the upper part of the apart- ‘ ment, but these, although effectual to exclude the rain, were but little adapted to exclude the wind also. To this end another expedient was resorted to—oiled canvas or linen was stretched over the apertures, which was to a certain extent 3 effectual for all requirements, and certainly a great improve- , ment upon louvre-boarding. Glass did not come into general use for gentlemen’s houses before the reign of Henry VIII, and we find Sir Thomas More, in his “ Utopia,” alluding to this circumstance, when he says, that they keep the wind OH their houses with glass, for it is there much used, and some also with very fine linen dipped in oil or amber. was occasionally in use some time previous to this period, is That it evident from Chaucer’s description of his chamber, for 3 he says :— “With glas Were all the windowes well yglazed ; Full clere, with not a hole ycrased ;” They were also beautifully painted, for he goes on— “ That to behold it was greatjoy ; For holly all the story of Troy Was in the glaising wrought.” Such were the comforts of our ancestors ; we should scarcely call them by that name now-a-days, when the regal luxuries of former times are looked upon as necessaries even by our poorer classes. From the time of the Reformation, however, domestic convenience and comfort made rapid pro- gress ; we fear we might say too rapid, for the real happiness and welfare of the people. Belonging to the olden times, we find ecclesiastical structures, which, even in their present 1 state of neglect and decay, rival the resources of modern taste and skill, while their domestic buildings were mean and 3 I-IUN 514 HYP cheerless : we have lived to see the tables turned—churches mean, cold, and neglected; nay, even our old structures, the bequests of our ancestors, allowed to fall to ruin and decay, while our own dwellings are loaded with luxuries, and over- crowded with ornament. But this scandal is passing away, and we are glad to see some slight return to the principles of our forefathers. For a further elucidation of this subject, as regards the Domestic buildings of Old England, we refer to the article on TUDOR ARCHITECTURE. The dwelling-houses of the metropolis are divided by act of parliament into three classes, each of which is subject to certain regulations as regards the building, as is shown in the following table :— It‘ in height If in area If containing The Raters. The thickness of external walls must be The thickness of party-walls must be 29» in. from top of foot- . 21; in. from top of footing and 17; in. thence to and 13 in. moredth‘aor: 7:13;; ")2th hhoaizrinbgdglizii 7 stories lst class ingto underside of floor “Sledge 1:; to underside of floor next underside of floor thence :11“ 85 ft 14 s ‘ next but 3 below top- t 1. ll but three below topmost next below top to topof 1an . sqr - most floor, op ° wa floor, most floor, wall. 21% in. from top of foot- . 21; in. from top of footing . and 13 in. - - d 17% 1n. - and 17; in. thence to more than 7 mg to underside of floor an to undersxde of floor next . thence more than 85 ft' more than 14 sqrs. stories. extra lst. next but 2 below top- thence to but three below topmost unders‘de or top- to top of most floor, ‘ top of wall floor, most floor, wall 17; in. from top of foot- . 17; in. from top of footing moredthzmt 5:12;" mag: 1:253:53?" ing to underside of floor antlherlige To to underside of floor next 13 in. thence to top a‘n 1718 ft e 10 r an 6 stories. 2nd. next but 1 below top- t f a“ but one below topmost of wall. t ”m ' sq 5' most floor, opo W floor; 17; in. from top of foot- . 17% in. from top of footing . and 8 in. moredthaié 38 fire, "‘21:: 13;: 31.3.5323 5 stories. 3rd. ing to underside of floor “318,139 To to underside of floor next 13d1n. 'ahenget to u"; theflce all: 2‘; “mo 6 rs next but 2 below top— to ofwall but two below topmost flersx e 0 opmos to topol t an ‘ sq ' most floor, p floor; 00” Wall. 13 in. from top of foot- and 8} in 13 in. from top of footing not more than 38 not more than 4 not more ing to underside of floor ‘ ' to underside of floor next and 8 thence to to . - 4th thence to p feet. sqrs. ' than 4stors. ‘ next below topmost top ofwall but one below topmost of wall. floor, floor, HOUSING, the space excavated out of a body, for the insertion of some part of the extremity of another, in order to fasten the two together : thus the string-board of a stair is most frequently excavated, or notched—out for the recep- tion of the steps. The term is also applied to a niche for containing a statue. HOVELLING, a method adopted for the prevention of smoky chimneys by carrying up the two sides which are the most obnoxious to currents of air, above the others; or by leaving apertures on all sides for the escape of the smoke. HUE (from the Saxon) in painting, any degree of strength or vividness of colour, from its greatest 0r deepest, to its weakest tint. HUMERI, the angles of a temple formed by the longi— tudinal and transverse walls of the cella. HUNDRED OF LIME, a denomination of measure, in some places denoting 35, and in others 25 heaped bushels or bags. HUNDRED, Great or Standard, 2 1121b. avoirdupoise = 4 quarters : 7 stone (of 161b.) = 14 cloves (81b.) : 16 cloves (71b.) = 1,792 ounces = 90,972 drachms avoirdu- poise : .93333 long cwt. (1201b.) = 1031b. 2% oz. Dutch, or Scottish weight. This is the legal hundred-weight of the custom-house of London, and in all the southern parts of England. HUNDRED, Long, or Northern, : 1201b. : 8% stones (14lb.) = 12 rationes(101b.) ,1: 1.0714286 great cwt (11211).) This weight is legalized on all or most of the canals and navigable rivers in the north of England and of the midland counties, by their acts for collecting tolls, 8w. HUNDRED is also used as a measure to express a certain quantity or number of things. Deal boards are sold at six score to the hundred, called the long hundred. Pales and laths are counted at five score {0 the hundred if five feet long, and six score if three feet ong. HUNG, Double, see DOUBLE HUNG. HUNTING TOWERS, ancient buildings erected, as is supposed, for the purpose of giving ladies an opportunity of viewing the progress of the chase. Examples remain at Chatsworth, and at Tibbermuir near Perth, in Scotland. HURLERS, a name given to a rude erection of stones existing near St. Clare, Cornwall. They are of Druidical origin. See CELTIC ARCHITECTURE. HURRIES, in engineering, is sometimes applied, at New- castle and other places, to the strong stages of wood erected l on the sides of navigable rivers and harbours, to which the i railways are conducted from the coal pits; by which means ¥ the load is emptied at once, by the help of a spout, from the ' railway waggons into the holds of ships. HUT (from the Saxon hutte) a small cottage or hovel. It is also used for the soldiers’ lodges in the field, otherwise called barracks or case-ms. HUT, in rural economy, a low sort of building, of the cottage kind, generally constructed of earthy materials, as strong loamy clay, Ste. A number of huts of this descrip- tion have been built on the borders of the South Esk, in Scotland, which have a very neat and rural appearance, affording the idea at a distance of their being formed of a kind of brown brick-work. The materials employed consist of a sort of muddy clay, blended with the roots of aquatic ‘ plants, which are dug beyond the flood-mark of the river, in such sizes and shapes as are suitable for the intended pur- - pose. The pieces, or peats, as they are called, are generally cut out in the form of bricks, but somewhat larger, being prepared in every respect in the manner of peat-fuel. It is useful in some cases to build huts with lime-mortar, but more commonly with clay only These huts are generally preferred by the cottagers to such as are built of stone, being warmer, and nearly as durable. It seems not improbable but that a similar sort of material for building this kind of cottages may be met with in many situations where it has not yet been discovered, and be made use of in this way, as well as for various fences of the wall kind. HYPJETHRAL TEMPLE, see the following article. HYPJETHRON, or HYPjET-HROS (from the Greek, open above) a temple with ten columns on the pronaos and posticus, in external appearance similar to the dipteral ; but within, it had a double tier of columns on each side, detached from the wall, and the middle area was open to the sky. The cell was approached from both front and rear. From the descrip- tion given by Vitruvius, it appears, that Rome did not afi‘ord 1 from the cone. l HYP any example of this species ; and he points out the temple of Jupiter Olympus at Athens as one. HYPERBOLA (from {lirep and same) one of the conic sections, being that which is made by a plane cutting the opposite side of the cone produced above the vertex, or, by a plane which makes a greater angle with the base than the opposite side of the cone makes. In this figure the squares of the ordinates are greater than, or exceed, the rectangles under the parameters and abscissas, whence the name hyperbola. A few useful properties of the hyperbola—1. The squares of the ordinates of any diameter are to each other, as the rectangles of their abscissas. 2. As the square of any diameter is to the square of its conjugate, so is the rectangle of two abscissas to the square of' their ordinate. 3. The distance between the centre and the focus, is equal to the distance between the extremities of the transverse and conjugate axes. 4. The difference of two lines drawn from the foci to meet in any point of the curve, is equal to the transverse axis. 5. All the parallelograms inscribed between the four con- jugate hyperbolas, are equal to each other, and each is equal to the rectangle of the two axes. 6. The rectangles of the parts of two parallel lines, termi- nated by the curve, are to each other as the rectangles of the parts of any other two parallel lines, anywhere cutting the former. Or, the rectangles of the parts of two intersecting lines are as the squares of their parallel diameters, or squares of their parallel tangents. 7. All the parallelograms are equal which are formed between the asymptotes and curve, by lines parallel to the asymptotes. For other properties, see the articles CONE, and CONIC SECTION. HYPERBOLA, Acute, one whose asymptotes make an acute angle. HYPERBOLA, Ambigenal, that which has one of its infinite legs falling within an angle formed by the asymptotes, and the other falling without that angle. HYPERBOLA, Apollom'an, the common hyperbola, as derived See HYPERBOLA. 515 HYP HYPERBOLA, Deficient, a curve having only one asymptote, though two hyperbolic legs running out infinitely by the side of the asymptote, but contrary ways. HYPERBOLA, Equilateml, has its asymptotes equal to each other. HYPERBOLAS, Infinite, or HYPERBOLAS OF THE HIGHER KINDS, are expressed or defined by general equations similar to that of the conic or common hyperbola, only having gene- ral exponents, instead of the particular numeral ones, but so that the sum of those on one side of the question is equal to the sum of those on the other side. Such as ay m+” : b x‘“ (d + at) “, where x and y are the abscissa and ordinate to the axis or diameter of the curve; or w” 3/“ : a'“+", where the abscissa x is taken on one asymptote, and the or- dinate y parallel to the other. HYPERBOLIC CONOID, a solid formed by the revolu- tion of an hyperbola about its axis: it is otherwise called HYPERBOLOID, which see. HYPERBOLIC CURVE, the same as the Hyperbola. To draw a tangent to any point in the hyperbolic curve, draw a semi-diameter to the given point, and find its conjugate ; then through the given point, draw a straight line, parallel to the conjugate diameter ; which line will be a tangent to the curve. To find the focus of the hyperbolic curve, take the dis- tance between the extremities of the transverse and conjugate axes, and apply it from the centre upon the axis, and the remote extremity of the distance gives the focus. HYPERBOLIC CYLINDROID, a solid formed by the revolution of an hyperbola about its conjugate axis, or line through the centre perpendicular to the transverse axis. HYPERBOLOID, a conoid formed by the revolution of an hyperbola about its axis. It is otherwise called an hyper- bolic conoid. To find the solidity of an hyperboloid, or the frustum of an hyperboloid—To the areas of the two ends, add four times the area of the middle section parallel thereto, and mul- tiply the sum by one-sixth part of the axis or height, and the product is the solidity. In the complete hyperboloid, the area a of the end at the apex being nothing, the rule will be similar to what is laid down under the article CONOID. . i . 2 . An hyperboloid is to a. parabolmd of the same base and altitude as t + E?- is to t + x. Let t = the transverse . c = the congugate axes of the generating hyperbola. x : the abscissa or altitude of the solid. 3/ : the ordinate or radius of the base. p = 3.1416. . . tr + as’ . Then 3 : c X -——F—-, by the property of the solid ; t 2 1nd gig/2a: : p c2 is X git—9:, the fluxion of' the solid ; , . . at + a: . . py :L' : p c x X til—l , the fluent ot the solid : t :c? . l“ but because 2, :: c’ X %, we obtain 02 : BEE, [2 . L t .2. 2 z , Therefore, substituting [ K; x, for c2 In the fluent p 023:7 x g_‘lt_‘2_3_x we obtain 1": z X %f = half the area of . . . . t + %:v , . . . . ‘ the base multiplied into the altitude, x m, for the solidity of the solid. But the parabolmdal area is half the area of , ' , 1 2 x 2 a: t 2 a: ’2: Tthe base multiplied into the altitude; that 13,19: ; now &g_ x .ti-Fsa: : p—‘Z— : : t + £2: : l + z; and hence the 3 proposition is manifest. HYP 5H5 II'Y P HYPERTHYRUM, the lintel of a doorway, or that part of the frame which stands over the supercilium. In Grecian buildings in consisted of a frieze and cornice, the latter sup- ported by a console at each extremity. HYPOCAUSTUM, from {in-o, under, and Kavsov, to burn,) among the Greeks and Romans, a subterraneous place, in which was a furnace for heating the baths. Another kind of hypocaustum was a sort of kiln to heat their winter parlours. Several hypocausts have been found amongst the Roman remains still existing in Britain. About three years since, the remains of a portion of a Roman villa were laid open in Lower 'Thames-street, London, and beneath the floor of one of the rooms was discovered a hypocaust formed of columns about two feet in height, each consisting of fourteen tiles about itwelve inches square. These were connected at the top by 3larger tiles, which formed the superstructure of the floor. Flue—tiles, with varied patterns incised on their surfaces, were likewise found amongst the ruins, which originally conveyed warm air up the sides of the building. More recently, a hypocaust was discovered at Cirencester, and in a most perfect condition, the furnace, which was in existence, still containing some portion of the fuel. In this case, the columns were of two kinds, square and circular, the former being composed of tiles laid one upon the other to the number of ten, and the latter being formed of blocks of stone. Resting upon these pillars were large square tiles, as in the preceding example, and above these a layer of concrete six inches in thickness, on which the pavement was laid. The room above the hypocaust measured twenty-five feet square, and it is remarkable that the hypocaust extended only half-way underneath, the remaining half of the pavement being laid solid. . Still more recently, the remains of some apartments have been found within a Roman camp at Lymne, Kent. An exten- sive hypocaust was discovered under the floor of these apart- ments, formed entirely of layers of large tiles placed at regular intervals, but the pavement had been totally destroyed. Seve- ral hollow flue-tiles were also discovered of a similar descrip- tion to those above alluded to. These, in all probability, were . connected with the hypocaust, and served to convey the hot % air from the furnace through the principal apartmemts of the villa, the hypocausts being used not only for baths, as is by 1 some supposed, but also in the place of fires, and answered an : exactly similar purpose to our modern hot-air pipes. In a hypocaust discovered at Lincoln some few years since, Ehe piers supporting the pavement were all of the circulari orm. l HYPODROMUS, (Greek, {Sn-6, under, and $90,109, from rpexéw, to run,) amongst the Romans, a shady or covered walk or ambulatory. } HYPOGJEUM, (from {in-o, under, and 71‘] the cart/2,) in ancient architecture, a name given to all parts of a building that were underground. ‘ The term was more particularly applied to the common sort of sepulchres used by the Romans; they were built under- ground, whence their name, and are now known under the name of catacombs. The urns containing the ashes of the deceased were placed round the chamber in niches cut out in the walls, which, from their resemblance to the niches of a pigeon-house, were called columbaria. : Montfaucon has given descriptions and illustrations of several such hypogzea in his Antiquité Expliquée. In many examples, especially in those of later date, the chambers are highly ornamented. l HYPOPODIUM, (from {in-o, under, and 7789, foot,) 3. piece of'furniture in the ancient baths, on which the feet rested. ' HYPOSCENIUM, from {in-o, under, and 6mm), a scene,) a partition under the logium appointed for the music. . IIYPOTRACHELIUBI, (from ii7ro, undcr, and rpaxr’lltov,‘ the nee/2,) the lower part of the Tuscan and Doric capitals, comprehended between the astragal at the top of the shaft, and the fillet or annulets under the ovolo. This description applies only to the Roman Doric; for the Grecian, instead of an astragal, had from one to three horizontal grooves cir- cumscribing the column. \W\\\\\\ \ < t .. . I‘ I"; . ‘ \S‘ « ,_'I\\.\\ ~, ‘3, _ w --.‘ "1-“. I , ‘3» , IV V, / I ,l I .I \ >v_\I \\ . . , ,,. \ ‘ . \ ' ‘ a: ’ v .‘ , — '. , .I k I , , I \ , \ . ‘ v ' ~ ‘ ,; , If, ,. | \ \\ ;‘- : I .‘ . _.- -- .7 .0 . \ w; \ 7.x (C76 , 2' \ ‘ x ,, _. ~ _ \I \ ,. _ “ , | \‘« . . . . 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