13OWVIDITCEH'S TS EFUL T ABlIES A TFV YOr 0 I. PUBLISI-IED B3Y E. & G. W. W. BLUNT, I'IOOPRIETOlIR, No. 179 WATER STREETr, CORNER OF BURLING SLIXP. 1863. Entered according to Act of Congress, in the year of our Lord 1856, by E. & G. W. BLUNT, in the Clerk's Office of the District Court of the United States, for the Southern Dietrict of New York. C. S. WESTCOTT & CO., PRINTERS, N1o. 79 John Street. PREFACE. TRE TABLES found in the following pages are taken from the Practical Navigator. They have been printed at the suggestion of my friend, Professor PIERCE, whose remarks on the same are annexed. I trust that they will be acceptable to those who require the aid of Logarithms in making their calculations, and may induce others to become acquainted with the power they may acquire from their use. Tables I. and II. were calculated by the natural sines taken from the fourth edition of Sherwin's Logarithms, which were previously examined, by differences; when the proof-sheets of the first edition were examined, the numbers were again calculated by the natural sines in the second edition of Hutton's Logarithms; and if any difference was found, the numbers were calculated a third time by Taylor's Logarithms. Table III. contains the meridional parts for every degree and minute of the quadrant, calculated by the following rule, viz.: M = T x 0.0007915704468, in which T is the log. tangent less radius of half the latitude, increased by 450, taken to seven places of figures, reckoned as integers; and M is the meridional parts of that latitude in miles. Table X. contains the distances at which any object is yisible, at sea, calculated by the rule given in ~ 195 of Vince's Astronomy, in which the terrestrial refraction is noticed, This circumstance iv PREFACE. was neglected by Robertson, Moore, and others, and of course, their tables are erroneous. The rule given by Mr. Vince, expressed in logarithms, is this: 0.12155 + half log. of height in feet log. of distance in statute miles. In reducing the rule to logarithms, the radius of the earth was called 20911790 feet, which agrees nearly with the mean value given in De la Lande's Astronomy. Table X. A. contains the parallax in altitude of a planet. Table XII. contains the refraction of the heavenly bodies, calculated by Dr. Bradley's rule, supposing the refraction to be as the tangent of the apparent zenith distance of the object, decreased by three times the refraction, the horizontal refraction being supposed equal to 33'. The rule, expressed in logarithms, is this Log. tang. (app. zen. dist.-3. refraction)-8.2438534 = log. of ref. in see. The numbers calculated by this rule agree nearly with those published in Table I. of Maskelyne's Requisite Tables. Table XIII. contains the dip of the horizon for various heights, calculated by the rule in ~ 197 of Vince's Astronomy, in which the terrestrial refraction is allowed for. All numbers of this table differ a little from those published by Dr. Maskelyne, who had made a different allowance for that refraction. The rule given by Mr. Vince, expressed in logarithms, is, 1.X7712711 + half the log. of the height in feet = log. dip in seconds. Table XIV. contains the sun's parallax in altitude, calculated by multiplying the natural sine of the apparent zenith distance by the sun's horizontal parallax S/". The numbers in this table agree with those published by Dr. Maskelyne. Table XV. contains the Augmentation of the moon's semi-diameter = 15//.626 x sine D's altitude. This table agrees nearly with that published by Maskelyne. Table XVI. contains the dip for various distances and heights, calculated by this rul.e 13 h D =-d+0.56514 x-, 7 PREFACE. V in which D represents the dip in miles or minutes, d the distance of the land in sea-miles, and 7A the height of the eye of the observer in feet. Table XXI., for turning time into degrees, is the same as in other works of this kind. Table XXII. contains the proportional logarithms for three hours. The numbers of this table may be found by subtracting the logarithm of the time in seconds from the log. of 10800", or, which is the same thing, by the following rule: Prop. log. T-4.0334738-log. of T in seconds, neglecting the three right-hand figures of the remainder. Table XXIV. was compared with Sherwin's and Hutton's tables, and a few errors corrected. Table XXV. contains the log. sines, log. tangents, etc., corresponding to points and quarter points of the compass. This was compared with Sherwin's, Hutton's, and Taylor's logarithms. Plate XXVI., containing the common logarithms of numbers, was compared with Sherwin's, Hutton's, and Taylor's logarithms. Table XXVII. contains the common log. sines, tangents, secants, etc. This was compared with Sherwin's, Hutton's, and Taylor's tables. Two additional columns are given in this table, which are very convenient in finding the time from an altitude of the sun; also, three columns of proportional parts for seconds of space; and a small table at the bottom of each page, for finding the proportional parts for seconds of time. The degrees are marked to 180~, which saves the trouble of subtracting the given angle from 1800 when it exceeds 900~. Table LI. To change mean solar time into sidereal time. Table LII. To change sidereal time into mean solar time. Table on page 76 of the text, contains the corrections in minutes, to be added to the Middle Latitude to obtain the correct Middle Latitude. J. INGERSOLL BOWDITCI. Boston, 1849. REMARKS OF PROFESSOR PIERCE, BY the admirable contrivance of logarithms, the name of their inventor was raised high in the list of the benefactors of his race and the promoters of science. All the numerical calculations in the higher departments of theoretical and practical mathematics are performed by their aid, and the success of the computer principally depends upon the skill and precision with which he uses his logarithmic tables. It is worthy of inquiry, then, whether instruction in their use should not be more common in the schools; they ought to be studied both as the most remarkable instrument for facilitating calculations, and as a useful means of forming the mind to habits of accuracy. Discretion should be exercised in the choice of the tables, for, if ill-constructed and inaccurate, they will certainly lead to awkward and slovenly forms of calculation. They should be well proportioned in their parts; and, if of small extent, they should not be carried beyond five places of decimals. It is a great mistake to carry the small tables to six or seven places of decimals; without any valuable increase of accuracy, they are thus rendered clumsy and inconvenient. Tables of seven places should be proportionally extensive, as the large ones of Taylor; while those of six places are of little value-for they are not delicate enough for the higher orders of calculation, and are not needed for inferior operations; but, on the contrary, the disproportionate labor of using them destroys that brevity of computation, which is the sole recommendation of logarithms. None of the smaller tables can be compared in accuracy with those of Dr. Bowditch; for, besides the repeated and rigid examinations to which they have been subjected by the author and his sons, they have been so long in common use that no important error can have escaped detection. Dr. Bowditch's singular practical tact is also exhibited in their skilful arrangement, of which they are models Vinl REMARKS OF PROFESSOR PiERCI. deserving careful study. Feeling the want of such a set of tables for popular use, I have urged upon their proprietors the expediency of publishing the following selection from them, which will, I hope, be regarded as judiciously made. This may not be thought an improper occasion to press upon teachers the inexpediency of forcing the youthful intellect to a premature comprehension of abstruse mathematical reasoning, at the expense of failing to impart familiarity with the forms of' calculation, and readiness and accuracy in the use of figures, at the flexible age when the seeds of habit most readily germinate. Teach the lad how to obtain results, and you inspire him with the surest stimulus to investigate and apprehend the nature of the process. Imbue him with the spirit of accuracy, and you give him a taste for definite and precise thought, which is the solid foundation of true science, and one of the best antidotes to the laxity of reasoning and vagueness of research with which the atmosphere of the times is infected. BENJAMIN PIERCE, Perkins Professor of Astronomy aud Mathematics, HARVARD UNIVERSITY. Cambridge, 1849. TABLE I. [Page 1 Difference of Latitude and Departure for I Point. N. iE. N. W. S. E. S. W. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat, Dep. I 00.0 oo.o 6I 60.9 o3 u 121 120.9 05.9 18I x80.8 o8.9 24I 240o7 II.8 2 02.0 00. I 62 6I.9 o3.o 22 12I.9 o6.o 82 I8I.8 08.9 42 241.7 II.9 3 o3. o oo00.1 63 62.9 o3. 23 122.9 o6.o 83 I82.8 og.o 43 242.7 11.9 4 o4.o 00.2 64 63.9 o3.I 24 123.9 o6.I 84 I83.8 og.o 44 243 7 12.0 5 o5. o 00.2 65 64.9 03.2 25 124.8 o6. I 85 I84.8 og.I 45 244.7 IIa. 6 o6.o oo.3 66 65.9 o3.2 26 125.8 o6.2 86 I85.8 09.i 46 245.7 12.1 7 07.0 o00.3 67 66.9 03.3 27 I26.8 o6.2 87 I86.8 09.2 47 246.7 12.1 8 o8.o oo00.4 68 67.9 o3.3 28 I27.8 o6.3 88 187.8 09.2 48 247.7 12.2 9o09.o oo.4 69 68.9 o3.4 29 I28.8 o6.3 89 I88.8 09.3 49 248.7 I2.2 IO I0.0 oo.5 70 69.9 o3.4 30 I29.8 o6.4 90 I89.8 og.3 50 249.7 I2.3 II 11.o0 oo.5 71 70I9 03.5 I30.8 o6.4 I9I I90.8 09.4 25I 250.7 12.3 12 I2.0 oo.6 72 7I 9 o3.5 32 I3I.8 o6.5 92 gI.8 o09.4 52 25.7 12.4 I3 I3.o oo.6 73 72.9 03.6 33 I32.8 o6.5 93 I92.8 09.5 53 252 7 12.4 I4 14.o 00.7 74 73.9 o3.6 34 i33.8 o6.6 94 I93.8 09.5 54 253.7 I2.5 i5 I5.o 00.7 75 74.9 03.7 35 I34.8 o6.6 95 I94.8 og9.6 55 254.7 I2.5 i6 I6.o oo.8 76 75.9 03.7 36 i35.8 o6.7 96 I95.8 09.6 56 255.7 I2.6 17 17.0 oo.8 77 76.9 o3.8 37 i36.8 o6.7 97 I96.8 09.7 57 256.7 I2.6 I8 I8.o 00.9 78 77.9 o3.8 38 137.8 o6.8 98 I97.8 og9.7 58 257.7 12.7 9 9.0 00oo.g9 79 78.9 o3.9 39 i38.8 o6.8 99 198.8 09.8 59 258.7 12.7 20 20.0 OI.0 80 79.9 o3.9 40 I39.8 o6.9 200 99.8 og9.8 60 259.7 I2.8 2I 2I.o 01.0 8I 80.9 o4 o i4i I40o.8 06.9 2o1 200.8 09.9 261 260.7 I2.8 22 22. OI.1 82 81.9 o4.o 42 I4.8 07.0 02 20I.8 o09.9 62 26.7 I2.9 23 23. OI. I 83 82.9 o4. 43 142.8 07.0 o3 202.8 Io.o 63 262.7 I2.9 24 24.0 OI.2 84 83.9 04. I 44 43.8 07. o4 203.8 I0.0 64 263.7 13.0 25 25.o 01.20 85 84.9 o4.2 45 i44.8 07.1 05 o 204.8 IO.I 65 264.7 x3.o 26 26.o oi.3 86 85.9 o4.2 46 i45.8 07.2 o6 205.8 IO. 66 265.7 I3.1 27 27.0 oi.3.87 86.9 o4.3 47 I46.8 0o72 07 206.8 Io02 67 266.7 I3. 28 280o oI.4 88 87.9 o4.3 48 147.8 ~07.3 o8 207.7 10.2 68 267.7 13.2 29 29.0 oi.4 89 88.9 o4.4 49 i48.8 07.3 09 208.7 io.3 69 268.7 I3.2 30 30.o oi.5 go 8939 o4.4 50 I49.8 07.4 1o 209.7 io.3 70 269.7 13.2 3I 3I.o oi.5 9 go. 9 o4.5 I5 I50o.8 07.4 2II 2IO.7 I0.4 271 270.7 13.3 32 32.0 OI.6 92 9I.9 o4.5 52 I5I.8 07.5 12 2I I.7 IO.4 72 271.7 13.3 33 33.0 oi.6 93 92.9 o4.6 53 152.8 07.5 13 I227 io.5 73 272.7 i3.4 34 34.0 OI.7 94 93.9 o4.6 54 i53.8 07.6 I4 213.7 IO.5 74 273.7 x3.4 35 35.o OI.7 95 94.9 04-7 55 I54.8 07.6 I5 2I4.7 io.5 75 274.7 13.5 36 36.o oi.8 96 95.9 o4.7 56 I55.8 07.7 i6 2I5.7 io.6 76 275.7 13.5 37 37.0 oi.8 97 96.9 o4.8 57 I56.8 07.7 17 2I6.7 io.6 77 276.7 I3.6 38 38.o oi.9 98 97.9 o4.8 58 i57.8 07.8 i8 217.7 o107 78 277.7 I3.6 39 39.o OI.9 99 98.9 04.9 59 i58.8 07.8 19 218.7 10.7 79 278.7 I3.7 40 40.0 02.0 Ioo 99.9 04.9 60 159.8 07.9 20 2I9.7 Io.8 80 279.7 I3.7 4i 4I.o0 05. 0 6 i oo.9.8 o5.7.9 i6i I6.8 7 0 o.8 281 280.7 i3.8 42 4I.9 02.1 02 IOi.9 o5.o 62 I6I.8 07.9 22 22I.7 IO.9 82 28I.7 I3.8 43 42.9 02.I o3 102.9 o5.i 63 z62.8 o8.o 23 222.7 IO.g 83 282.7 13.9 44 43.9 02.2 o4 I03.9 o5.I 64 i63.8 o8.o 24 223.7 II.0 84:283.7 I3.9 45 44.9 02.2 o 1 4.9 o 05.2 65 64.8 o8.i 25 224.7 II.0 85 284.7 Mo14 46 45.9 02:.3 o6 Io5.9 o5.2 66 i65.8 o8.i 26 225.7 ii.i 86 285.7 I4.o 47 46.9 02.3 07 1o6.9 o5.3 67 i66.8 o8.2 27 226.7 I. I 87 286.7 I4.I 48 47.9 02.4 o8 Io07.9 o5.3 68 167.8 o8.2 28 227.7 11.2 88 287.7 I4.I 49 48.9 02.4 09 Io8.9 o5.3 691 68.8 o8.3 29 228.7 I.2 89 288.7 I4.2 50 49.9 02.5 Io o09.9 o5.4 70 169.8 o8.3 30 229.7 11.3 90 289.7 14.2 5r 50.9 o2.5 III IIo.9 o5.4 171 70.8 o8.4 231 230.7 11.3 29I 290.6 14.3 52 5I.9 02.6 12 I1.9 o5.5 72 171.8 o8.4 32 23I.7 iI.4 92 29I.6 I4.3 53 52.9 o02.6 I3 I12.9 o5.5 73 I72.8 o8.5 33 232.7 11.4 93 292.6 I4.4 54 53.9 02.6' I4 113.9 o5.6 74 173.8 o8.5 34 233.7 11.5 94 293.6 i4.4 55 54.9 02.7 I5 II4.9 o5.6 75 174.8 o8.6 35 234.7 II.5 95 294.6 x4.5 56 55.9 02.7 I6 115.9 05.7 76 175.8:8.6 36 235.7 ii.6 96 295.6 x4.5 57 56.9 02.8 17 II6.9 05.7 77; I76.8 8.7 37 236.7 II.6 97 296.6 i4.6 58 57.9 02.8 I8 117.9 05.8 78 I77.8 08.7 38 237.7 11.7 98 297.6 I4.6 59 58.9 02.9 9 II8.9 o5.8 791 I78.8 08.8 39 238.7 11.7 99 298.6 14.7 60 59.9 02.9 o20 19.9 05.9 80o 179.8 o8.8 4 239.7 II.8 300 299.6 X4.7 Dist. Dep.. Lat. Dist., Dep. Lat. Distt. Dep. Lat. Dist. Dep. Lat. E.: N. E. S. W. -N. W.S. [l.,For,7 P,,oin.. 1 Page 2] TABLE I. Difference of Latitude and Departure for j Point. N.E. NW. S. E. S.AW. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. I 0.0o oo.1 6I 60.7 o6.o 121 I20.4 II.9 I8I I8o.I 17.7 241 239.8 23.6 2 02.0 00.2 62 61.7 o6.I 22 I21.4 I2,0 82 I8I.I I7.8 42 240.8 23.7 3 o3.o oo.3 63 62.7 06.2 23 122.4 I2.1 83 182.I 17.9 43 24I.8 23.8 4 04.0 00.4 64 63.7 o6.3 24 123.4 12.2 84 I83. I 18. 44 242.8 23.9 5 o5.o oo.5 65 64.7 o6.4 25 I24.4 I2.3 85 184.1 8. I 45 243.8 24.o 6 o6.o oo.6 66 65.7 o6.5 26 125.4 I2.4 86 I85'.I 8.2 46 244.8 24.1I 7 07.0 00.7 67 66.7 o6.6 27 126.4 12.4 87 I86.1 18.3 47 245.8 24.2 8 o8.o oo.8 68 67.7 06.7 28 127.4 I2.5 88 I87.1 I8..4 48 246.8 24.3 9 09.o 00.9 69 68.7 o6.8 29 128.4 I2.6 89 i88.i i8.5 49 247.8 24.4 10 IO.O oI.0 70 69~7 06.9 30 129.4 I2.7 9o I89. I 8.6 50o 248.8 24.5 II I o0.9 0I.1I 71 70.7 070 I3I 30o.4 12.8 191 190.1 I8.7 25I1 249.8 24.6 12 11I9 01.2 72 71.7 07.I 32 I31.4 12.9 92 I91.1 i8.8 52 250.8 24.7 13 12.9 oi.3 73 72.6 07.2 33 I32.4 i3.0 93 192.I 18.9 53 25I.8 24.8 14 I3.9 oi.4 74 73.6 07.3 34 i33.4 13.1 94 I93.1 Ig.o 54 252.8 24.9 I5 I4.9 oi.5 75 74.6 07.4 35 i34.3 13.2 95 I94.I I9.I 55 253.8 25.o i6 15.9 oi.6 76 75.6 07.4 36 I35.3 13.3 96 I95.1 19.2 56 254.8 25.I 17 I6.9 01O 7 77 76.6 07.5 37 i36.3 I3.4 97 196.I I9.3 57 255.8 25.2 i8 17.9 oi.8 78 77.6 07.6 38 137.3 I3.5 98 197.0 19.4 58 256.8 25.3 I9 I8.9 01.9 79 78.6 07.7 39 i38.3 i3.6 99 I98.0 19.5 59 257.8 25.4 2c' I9.9 02.0 80 79.6 07.8 40 139.3 I3.7 200 199.0 19.6 60 258.7 25.5 21 20.9 02.1 8I 80.6 ~079 I4I i4o.3 I3.8 20I 200.0 I9-7 261 259-7 25.6 22 2I.9 02.2 82 81.6 o8.o 42 14I.3 13.9 02 201.0 19.8 62 260.7 25.7 23 22.9 02.3 83 82.6 o8.I 43 142.3 i4.o o3 202.0 Ig.9 63 261.7 25.8 24 23.9 02.4 84 83.6 o8.2 44 143.3 I4.I 04 203.0 20.0 64 262.7 25.9 25 24.9 02.5 85 84.6 o8.3 45 I44.3 14.2 05 204.o0 20. I 65 263.7 26.0 26 25.9 o2.5 86 85.6 o8.4 46 i45.3 i4.3 o6 205.0 20.2 66 264.7 26.1 27 26.9 02.6 87 86.6 o8.5 47 I46.3 i4.4 07 206.0 20.3 67 265.7 26.2 28 27.9 02.7 88 87.6 o8.6 48 147.3 I4.5 o8 207.0 20o.4 68 266.7 26.3 29 28.9 02.8 89 88.6 o08.7 49 i48.3 14.6 o9 208.0 20.5 69 267.7 26.4 30 29.9 02.9 90o 89.6 o8.8 50 I49.3 I4.7 10 209.0 20.6 70 268.7 26.5 31 30.9 o3.0 9g 90.6 o8.9 151 50o.3 i4.8 2II 2IO.0 20.7 271 269.7 26.6 32 3i.8 o3.I 92 9I.6 og.o 52 I5I.3 I4.9 12 21I.0 20.8 72 270.7 26.7 33 32.8 o3.2 93 92.6 o9.1 53 I52.3 21.o 3 212.0 20.9 73 271,7 26.8 34 33.8 o3.3 94 93.5 o09.2 54 153.3 i5.I i4 213.0 2I.0 74 272.7 26.9 35 34.8 o3.4 95 94.5 09.3 55 i54.3 I5.2 I5 2I4.0 2I.1 75 273.7 27.0 36 35.8 o3.5 96 95.5 09.4 56 155.2 I5.3 i6 215.0 2I.2 76 274.7 27.I 37 36.8 o3.6 97 96.5 og09.5 57 I56.2 I5.4 17 2I6.0 21.3 77 275.7 27.2 38 37.8 o3.7 98 97.5 o9.6 58 157.2 1.5 i8 217.0 2I.4 78 276.7 27.2 39 38.8 o3.8 99 98.5 09.7 59 158.2 I5.6 19 217.9 21.5 79 277.7 27.3 40 39.8 o3.9 Ioo 99.5 o098 60 159.2 I5.7 20 2I8.9 21.6 80 278.7 27.4 4 4o.8I o4.o 4o0 ioo.5 o9.9 i6i 160.2 i5.8 221 219.9 2I.7 281 279.6 27.5 42 4I.8 o4.I 02 ioi.5 IO.o 62 161.2 15.9 22 220.9 21.8 82 280.6 27.6 43 42.8 o4.2 o3 102.5 lo.I 63 162.2 16.o 23 22I.9 2I.9 83 281.6 27.7 44 43.8 o4.3 o4 io3.5 o0.2 64 I63.2 I6. I 24 222.9 22.0 84 282.6 27.8 45 44.8 o4.4 o5 io4.5 io.3 65 I64.2 I6.2 25 223.9 22.I 85 283.6 27.9 46 45.8 o4.5 o6 I05.5 Io.4 66 165.2 I6.3 26 224.9 22.2 86 284.6 28.0 47 46.8 o4.6 07 Io6.5 io.5 67 166.2 I6.4 27 225.9 22.2 87 285.6 28.1 48 47.8 o4.7 o8 o7.5 I o.6 68 167.2 i6.5 28 226.9 22.3 88 286.6 28.2.49 48.8 o4.8 o9 o8.5 10.7 69 I68.2 16.6 29 227.9 22.4 89 287.6 28.3 5o 49.8 04.9 Io o09.5 IO.8 70 I69.2 16.7 3o 228.9 22.5 9~ 288.6 28.4 5i 50.8 o5.0 III iio.5 io.9 17I 170.2 i6.8 23I 229.9 22 6 291 289.6 28.5 52 5I.7 o5.I 12 11i.5 11.O 72 I71.2 I6.9 32 230.9 22! 92 290.6 28.6 53 52.7 o5.2 13 II2.5 IJ.1 73 172.2 17.0 33 231.9 22.8 93 291.6 28.7 54 53.7 5.3 I4 113.5 11.2 74 173.2 17.I 34 n32.9 22.9 94 292.6 28.8 55 54."- 105.4 15 II4.4 11.3 75 174.2 17.2 35 233.9 23.0 95 293.6 28.9 56 5-.7 o5.5 I6 115.4 1I. 4 76 175.2 I7.3 36 234.9 23. 96 294.6 29.0 57 56.7 05.6 17 iI6.4 I1.5 77 176.I 17.3 37 235.9 23.2 97 295.6 29.1 58 57.7 05.7 i8 117.4 11.6 78 177.I 17.4 38 236.9 23 3 98 296.6 29.2 59 58.7 o5.8 I9 II8.4 11.7 79 178.I I7.5 39 237.8 23.4 99 297.6 29.3 6o 59.7 o5.9 20 119.4 ii.8 80 179-. 17.6 4o 238.8 23.5 300;298.6 29.4 Dist.I Dep. Lat. Dist. Dep. LaLat. Dist. Dep Lat. IDist.l Dep. -Lat. Dist. Dep. Lat. E.A N. E. S. W. N. W. A S. [For 74 Points. TABLE I. [Pagee 1 Difference of Latitude and Departure for 3 Point. N.1E. N.I W, S. E. S. W. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dp. I 01.0 o00. 6i 6o.3 og09.0 I21 119.7 17.8 i8i 179.0 26.6 241 238.4 35.4 2 02.0 oo.3 62 6i.3 o 9.I 22 120.7 I7.9 82 80o.o 26.7 42 239.4 35.5 3 o3.o oo.4 63 62.3 09.2 23 121.7 8.o0 83 i8i.o 26.9 43 240.4 35.7 4 o4.o oo.6 64 63.3 o9.4 24 122.7 18.2 841 I82.0 27.0 44 24i.4 35.8 5 o4.9g oo00.7 65 64.3 o09.5 25 I23.6 18.3 85' 83.o 27.1 45 242.3 35.9 6 o5.9 oo.9 66 65.3 09.7 26 I24.6 i8.5 86'684.o 27.3 46 243.3 36., 7 o6.9 OI.o 67 66.3 og.8 27 125.6 i8.6 8-' 185 o 27.4 47 244.3 36.2 8 1o7-9 OI.2 68 67.3 IO.0 28 i26.6 i8.8 88 i86 o 27.6 48 245.3 36.4 91o8.9 oi.3 69 68.3 10o.1 29 127.6 18.9 89 187.0 27.7 49 246.3 36.5 Io 09.9 01.5 70 69.2 io.3 3o I28.6 I9.1 90 187.9 27.9 50 247.3 36.7 II IO.9 oi.6 71 70.2 10.4 I3I I29.6 I9.2 I9I 188.9 28.0 25I 248.3 36.8 12 1I.9 oI.8 72 7I.2 io.6 32 I30.6 19.4 92 189.9 28.2 52 249.3 37.0 I3 I2.9 01.9 73 72.2 10.7 33 Ir3.6 I9.5 93 190.9 28.3 53 250.3 37.1 I4 I3.8 02.I 74 73.2 Io.9 34 I32.5 19.7 94 19I.9 28.5 54 251.3 37.3 I5 I4.8 02.2 75 74.2 1II. 35 I33.5 i9.8 95 192.9 28.6 55 252.2 37.4 I6 I5.8 02.3 76 75.2 11.2 36 I34.5 20.0 96 I93.9 28.8 56 253.2 37.6 17 i6.8 02.5 77 76.2 ii.3 37 I35,5 20.I 97 I94.9 28.9 57 254.2 37.7 i8 1I7.8 02.6 78 77.2 ii.4 38 i36.5 20.2 98 195.9 29.1 58 255.2 37.9 I9 I8.8 02.8 79 78.I I.6 39 137.5 20.4 99 I96.8 29.2 59 256.2 38.o 20 19.8 02.9 80 79.1 11.7 4o I38.5 20.5 200 I97.8 29.3 60 257.2 38.i 21 20. 8 03.I 8 i 80.I 11.9 Ix4 I39.5 20.7 20I I98.8 29.5 26I 258.2 38.3 22 2I.8 o03.2 82 8I.I 12.0 42 40o.5 20.8 02 I99.8 29.6 62 259.2 38.4 *23 22.8 o3.4 83 82.I I2.2 43 I4I.5 2.0o 3 2oo00.8 29.8 63 260.2 38.6 24 23.7 o3.5 84 83.I I2.3 44 142.4 21.1 o4 20o.8 29.9 64 26I.1 38.7 25 24.7 0o3.7 85 84.I 12.5 45 I43.4 2I.3 o5 202.8 30.i 65 262.1 38.9 26 25.7 o3.8 86 85.i I2.6 46 44.4 21I.4 o6 203.8 30.2 66 263.I 39.o 27 26.7 o4.o 87 86.I I2.8 47 I45.4 2I.6 o7 204.8 3o'4 67 264.I 39.2 28 27.7 o4.I 88 87.0 12.9 48 i46.41. 2I.7 o8 2o5.7 3o.5 68 265!.1 39.3 29 28.7 o4.3 89 88.o i3.i 49 47.4 21.9 o09 206.7 30.7 69 266.1 39.5 30 29.7 o4.4 9go 89.0o 3.2 5o0 I48.4 22.0 10 207.7 3o.8 70 267. 1 39.6 3I 30.7 o04.5 91 go.o i3.4 I5i I49.4 22.2 2II 208.7 3i.o 271 268.I 39.8 32 3I.7 04.7 92 91.0 13.5 52 I50o.4 22.3 I2 209.7 3I.I 72 269.1 39.9 33 32.6 Io48 93 92.0 I3.6 53 i5i.3 22.4 13 2Io.7 3i.3 73 270.0 4o.I 34 33.6 o05.o 94 93.0 i3.8 54 I502.3 22.6 I4 211.7 3i.4 74 271.0o 4o.2 35 34.6 o5.I 95 94.o I3.9 55 i53.3 22.7 I5 2I2.7 31.5 75 272.0 4o.4 36 35.6 o5.3 96 95.0 14.I 56 154.3 22.9 i6 2I3.7 313.7 76 273.o 4o.5 37 36.6 o05.4 97 96.o0 14.2 57 i55.3 23.o I7 2I4.7 3I.8 77 274.0o 4o.6 38 37.6 o5.6 98 96.9 I4.4 58 i56.3 23.2 I8 2I5.6 32.o0 78 275.o 4o.8 39 38.6 05.7 99 97.9 14.5 59 157.3 23.3 I9 216.6 32.1 79 276.0 4o.9 4o 39.6 o5.9 100 98.9 14.7 6o I58.3 23.5 20 2I7.6 32.3 80 277.0 41.I 41 40.6 o6.o l0O 99.9 I4.8 I6i I59.3 23.6 22I 218.6 32.4 281 278.0 4i.2 42 4i.5 o6.2 02 100.95 i5.o 62 I6,0. 23.8 22 2I9.6 32.6 &2 278.9 4I.4 43 42.5 o6.3 03 101.9 i5. 63 16I.2 23.9 23 220.6 32.7 83 279.9 41.5 44 43.5 o6.5 04 102.9 I5.3 64 162.2 24.1 24 22I.6 32.9 84 280.9 41.7 45 44.5 o6.6 o5 1o3.9 I5.4 65 I63.2 24.2 25 222.6 33.0 85 28I.9 4I.8 46 45.5 o6.7 o6 Io4.9 i5.6 66 164.2 24.4 26 223.6 33.2 86 282.9 42.0 47 46.5 06.9 07 i o5.8 1I5.7 67 I65.2 24.5 27 224.5 33.3 87 283.9 42.I 48 47.5 107.0 o8 Io6.8 i5.8 68 166.2 24.7 28 225.5 33.5 88 284.9 42.3 49 48.5 07.,2 09 107.8 i6.o 69 I67.2 24.8 29 226.5 33.6 89 285.9 42.4 5o 49.5 07.3 10 io8.8 16.1 70 I68.2 24.9 30 227.5 33.7 90 286.9 42.6 5150.4 07 5 II I og9.8 I6.3 I7I I69.1 25.1I 23I 228.5 33.9 29I 287.9 42.7 52 5I.4 07.6 12 I io.8 i6.4 72 170.1 25.2 32 229.5 34.o 92 288.8 42.8 53 52.4 07.8 I3 111.8 6.6 73 171.1 25.4 33 230.5 34.2 93 289.8 43.o 54 53.4 07.9 14 112,.8 16.7 74 1720.1 25.5 34 23I.5 34.3 94 290.8 43.I 55 54.4 o8. I I5 i3.8 16.9 75 I73.!25.7 35 232.5 34.5 95 29I.8 43.3 56 55.4 08.2 i6 114.7 I7.0 76 174,1 25.8 36 233.4 34.6 96 292.8 43.4 57 56.4 o8.4 17 115.7 17.2 77 I75.I126.o 37 234.4 34.8 97 293.8 43.6 58 57.4 o8.5 i8 116.7 17.3 78 176.1 26.I 38 235.4134 9 98 294.8 43.7 59 58.4 o8.7 I9 117.7 I7.5 79 177.1 26.3 39 236.4 135. 99 295.8 43.9 60 59.4 o8.8 20 118.7 17.6 80 178.I 26.4 4o 237.4 35.2 300 296.8 44.o Dt -ist._ Dep. Lat. Dist. J Dp. Lat. Dist. Dep.. Lat.1 Dist. Dp Lat Dep. Lat. E.1N. E. S. W.1 N. w. IS. [For 7j Points. Page 4] TABLE 1. Difference of Latitude and Departure for 1 Point. N byE. N.byW. S.byE. S.byW. Dist. Lat. Dep. Dist. Lat.!Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. I 01.0 o0o.2 6i 59.8 iI.9 I21 118.7 23.6 I8& 177.5 35.3 24i 236.4 47-0 2 02.0 00.4 62 60.8 I12. I 22 1 19.7 23.8 82 178.5 35.5 42 237.4 47.2 3 02.9 oo.6 63 6i.8 I2.3 23 I20.6 24-.0 83 I79.5 35.7 43 238.3 47.4 4 o3.9 oo.8 64 62.8 I2.5 24 I2I.6 24.2 84 I80o.5 35.9 44 239.3 47.6 5 o4.9 OI.0 65 63.8 I2.7 25 I22.6 24.4 85 I8i.4 36. i 45 240.3 47.8 6 o5. OI 01.2 66 64.7 12.9 26 I23.6 24.6 86 182.4 36.3 46 24I.3 48.o 7 o6.9 oI.4 67 65.7 I3.I 27 124.6 24.8 87 I83.4 36.5 47 242.3 48.2 8 07.8 oi.6 68 66.7 I3.3 28 I25.5 25.o 88 I84.4 36.7 48 243.2 48.4 9 o8.8 OI.8 69 67.7 I3.5 29 126.5 25.2 89 i85.4 36.9 49 244.2 48.6 IO og09.8 02.0 70 68.7 13.7 30 127.5 25.4 9o I86.3 37.I 50 245.2 48.8 I IIO.8 02.1 7I 69.6 I3.9 13I 128.5 25.6 II 187.3 37.3 25i 246.2 49.o 12 ii.8 02.3 72 70.6 I4.o 32 I29.5 25.8 92 I88.3 37.5 52 247.2 49.2 I3 I2.8 02.5 73 71.6 i4.2 33 I3o.4 25.9 93 I189.3 37.7 53 248.I 49.4 I4 I3.7 02.7 74 72.6 14.4 34 I3i.4 26. I 94 I90.3 37.8 54 249.I 49.6 i5 i47 02.9 75 73.6 I4.6 35 I32.4 26.3 95 I 9.3 38.o 55 25o.i 49.7 i6 I5.7 o3.I 76 74.5 i4.8 36 I33.4 26.5 96 I92.2 38.2 56 251.I 49.9 I7 I6.7 03.3 77 75.5 i5.o 37 i34,4 26.7 97 193.2 38.4 57 252.I 5o.i i8 77 03.5 78 76.5 15.2 38 I35.3 26.9 98 I9 4.2 38 6 58 253.o 5o.3 I9 i8.6 03.7 79 77.5 I5.4 39 i36.3'27.1 99 I95.2 38.8 59 254.o 5o.5 2o0 i9.6 03.9 80 78.5 i5.6 4o I37.3 27.3 200 I96.2 39.o 60 255.o 5o.7 2I 20.6 o4. i 8I 79.4 i5.8 I4I i38.3 27.5 20I 197.i 39.2 261 256.o 50.9'2.2 21.6 o4.3 82 80.4 i6.o 42 139.3 27.7 02 I98.I 39.4 62 257.0 5I.I 23 22.6 o4.5 83 8i.4 I6.2 43 i4o.3 27.9 O3 99. 39.6 631257.9 5i.3 24 23.5 04.7 84 82.4 i6.4 44 I4I.2 28.I o4 200.1 39.8 641 ^58.9 5I.5 25. 24.5 04.9 85 83.4 i6.6 45 I42.2 28.3 o5 201.1 4o.o 65 259.9 51.7 26 25.5 o5.i 86 84.3 i6.8 46 I43.2 28.5 o6 202,o 4o.2 66 260.9 5I.9 27 26.5 o5.3 87 85.3 I7.0 47 i44.2 28.7 07 203.o 4o.4 67 26I.9 52.1 28 27.5 o5.5 88 86.3 17.2 48 I45.2 28.9 o8 204.0 4o.6 68 262.9 52.3 29 28.4 05. 7 89 87.3 17.4 49 i46.I 29.1 09 205.0 4o.8 69 263.8 52.5 30 29.4 05.9 9o 88.3 I7.6 50 I47.1 29.3 Io 206.0 41.0 70 264.8 52.7 3I 3o.4 o6.o 9I 89.3 I7.8 i5I i48.I 29.5 21I 206.9 4i.2 271 265.8 52.9 32 3I.4 o6.2 92 90.2 I7.9 52 149. 29.7 12 20o7.9 4I.4 72 266.8 53.1 33 32.4 o6.4 93 9I.2 i8.i 53 i5o.T 29.8 I3 208.9 4i.6 73 267.8 53.3 34 33.3 o6.6 94 92.2 i8.3 54 15I.0 30.o 14 209.9 41.7 74 268.7 53.5 35 34.3 o6.8 95 93.2 i8.5 55 I52.0 30.2 i5 2I0o.9 4I.9 75 269.7 53.6 36 35.3 07.0 96 94.2 I8.7 56 I53.o 3o.4 I6 2I1.8 42.I 76 270.7 53.8 37 36.3 07.2 97 95.1 I8.9 57 i54.o 3o.6 17 2I2.8 42.3 77 27I.7 54.o 38 37.3 o7.4 98 96.1 I9.1 58 i55.o 30.8 i8 2I3.8 42.5 78 272.7 54.2 39 38.3 07.6 99 97-I I9.3 59 I55.9 3i.o 19 2I4.8 42.7 79 273.6 54.4 40 39.2 o7.8 100 98. I9.5 6o I56.9 3I.2 20 215.8 42.9 80 274.6 54.6 4I 40.2 o8.o ioi 991 9.7 i6i 157.9 3i.4 22I 2i6.8 43.I 28I 275.6 54.8 42 4I.2 08.2 02 Io00.0 I9.9 62 I58.9 3i.6 22 217.7 43.3 82 276.6 55.o 43 42.2 o8.4 o3 IOI.0 20.I 63 i59.9 3i.8 23 2I8.7 43.5 83 277.6 55.2 44 43.2 o8.6 o4 102.0 20.3 64 i6o.8 32.0 24 219.7 43.7 84 278.5 55.4 45 44.I o8.8 o5 io3.0o 20.5 65 i6I.8 32.2 25 220.7 43.9 85 2-79.5 55.6 46 45.it 09.0 o6 Io4.o 20.7 66 I62.8 32.4 26 22I.7 44.I 86 280.5 55.8 47 46.i 09.2 07 Io04.9 20.9 67 i63.8 32.6 27 222.6 44.3 87 28I.5 56.o 48 47. 09.g4 o8 I05.9 2I.I 68 i64.8 32.8 28 223.6 44.5 88 282.5 56.2 49 48. I o9.6 og9 Io6.9 2I.3 69 i65.8 33.o 29 224.6 44.7 89 283.4 56.4 5o 49.0 09.8 1 107.9 21.5 70 I66.7 33.2 3o 225.6 44.9 9o 284.4 56.6 5i 50.o og0.9 riii I08.9 217 17I 167.7 33.4 23I 226.6 -45. I 29I 285.4 56.8 52 5i.o io.I 12 io09.8 21.9 72 i68.7 33.6 32 227.5 45.3 92 286.4 57.0 53 52.o io.3 i3 ixo.8 22.0 73 I69.7 33.8 33 228.5 45.5 93 287.4 57.2 54 53.0 io.5 I4 1i1.8 22.2 74 I70.7 33.9 34 229.5 45.7 94 288.4 57.4 55 53. 9 10.7 I 5 2.8 22.4 75 17.6 34.i 35 230.5 45.8 95 289.3 57.6 56 54.9 I0.9 i6 ii3.8 22.6 76 I72.6 34.3 36 23i.5 46.o 96 290.3 57.7 57 55.9 Ix.x 17 iI4.8 22.8 77 I73.6 34.5 37 232.4 46.2 97 291.3 57.9 58 56.9 IxI.3 I8 ii5.7 23.0 78 174.6 34.7 38 233.4 46.4 98 292.3 58.z |59 579 II.5 I9 I16.7 23.2 79 175.6 34.9 39 234.4 46.6 99 293.3 58.3 60 158 8 11.7 20 117.7 23.4 80 176.5 35.I 4o 235.4 46.8 300 294.2 58.5 Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. E.byN. E.byS. W.byN. W.byS. [For 7 Points. _ N. E~byS. WbyN. TABLE I. LPage 5 Difference of Latitude and Departure for 1I Points. N.byE.iE. N.byW.4W. S.byE.kE. S byW.4W Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist Lat. Dep I 01.0 00.2 6i 59.2 I4.8 I21I I7.4 29.4 18I 175.6 44.o 241 233.8 58.6 2 OI.9 oo.5 62 6o.I I5.1 22 II8.3 29.6 82 176.5 44.2 42 234.7 58.8 3 02.9 00.7 63 6i.I 15.3 23 119.3 29.9 83 177.5 44.5 43 235.7 59.0 4 o3.9 oI. 64 62.I I5.6 24 120.3 3o.i 84 178.5 44.7 44 236.7 59.3 5 o4.- 01.2 65 63. I I5.8 25 121.3 3o.4 85 I79.5 45.o 45 237.7 59.5 6 o5.8 oi.5 66 64.o i6.o 26 I22.2 30.6 86 i8o.4 45.2 46 238.6 59.8 7 o6.8 0oi.7 67 65.o i6.3 27 I23.2 30.9 87 i8I.4 45.4 47 239.6 6o.o 8 07.8 01.9 68 66.o I6.5 28 I24.2 31.I 88 182.4 45.7 48 240.6 60.3 9 o8.7 02.2 69 66.9 i6.8 29 125.1 31.3 89 i83.3 45.9 49 241.5 60.5 IO 09.7 02.4 7o 67.9 17.0 30 i26.i 3i.6 9o I84.3 46.2 50 242.5 60.7 II 10.7 02.7 71 68.9 17.3 231 127.1 3I.8 I91 i85.3 46.4 25I 243.5 6r.o 12 ii.6 02.9 72 69.8 17.5 32 128.0 32.1 92 I86.2 46.7 52 244.4 61.2 I3 I2.6 03.2 73 70.8 I7-7 33 129.0 32.3 93 187.2 46.9 53 245.4 6I.5 i4 i3.6 o3.4 74 71.8 i8.o 34 i3o.o 32.6 94 I88.2 47.i 54 246.4 6I.7 I5 I4.6 o3.6 75 72.8 I8.2 35 i3i.o 32.8 95 189.2 47.4 55 247.4 62.0 i6 5.5 03.9 76 73.7 i8.5 36 I3I.9 33.o 96 190.1 47.6 56 248.3 62.2 I7 i6.5 o4.,i 77 74.7 18.7 37 i32.9 33.3 97 191.1 47.9 57 249.3 62.4 i8 17.5 o4.4 78 75.7 I9.0 38 133.9 33.5 98 192. I 48.i 58 250.3 62.7 19 i8.4 o4.6 79 76.6 19.2 39 I34.8 33.8 99 I93.0 48.4 59 25I.2 62.9 20 Ig9.4 o4.9 80 77.6 19.4 4o i35.8 34.0 200 I94.0 48.6 60 252.2 63.2 2I 20.4 o5.I 8i 78.6 I9.7 I41 i36.8 34.3 20I i95.0 48.8 26I 253.2 63.4 22 21.3 o5.3 82 79.5 Ig.9 42 i37.7 34.5 02 I95.9 49.I 62 254.I 63.7 23 292 3 o5.6 83 80.5 20.2 43 I38.7 34.7 03 196.9 49.3 63 255.1 63.9 24 23.3 o5.8 84 81.5 20.4 44 I39-7 35.o o4 197.9 49.6 64 256.I 64. I 25 24.3 o6.i 85 82.5 20.7 45 i40o-7 35.2 o5 I98.9 49.8 65 257.1 64.4 26 25.2 o6.3 86 83.4 20.9 46 i4r.6 35.5 o6 199.8 5o.i 66 258.o 64.6 27 26.2 o6.6 87 84.4 2I.I 47 142.6 35.7 o7 200.8 50o.3 67 259.o 64.9 28 27.2 o6.8 88 85.4.21.4 48 I43.6 36.o o8 201.8 5o.5 68 260.0 65.i 29 28.I 07.0 89 86.3 2i.6 49 I44.5 36.2 09 202.7 5o.8 69 260.9 65.4 3 2g9. o7.3 9o 87.3 22.9 50 145.5 36.4 10 203.7 51i.o 70 26r.9 65.6 3I 3o.I 7.5 91- 88.3 22.I 5 I46.5 36.7 211 204-7 5I.3 271 262.9 65.8 3i 3o.o 9o.5'-58.3 21 32 31.0 07.8 92 89.2 22.4 52 147.4 36.9 12 205.6 5i.5 72 263.8 66.i 33 32.o o8.0 93 90.2 22.6 53 I48.4 37.2 I3 9206.6 5i.8 73 264.8 66.3 34 33.o o8.3 94 91.2 22.8 54 149.4 37.4 I4 207.6 52.0 74 265.8 66.6 35 34.o o8.5 95 92.2 23.I 55 i5o.4 37.7 i5 208.6 52.2 75 266.8 66.8 36 34.9 o8.7 96 93.1 23.3 56 15I.3 37.9 i6 209.5 52.5 76 267.7 67.T 37 35.9 09.o 97 94.I 23.6 57 I52.3 38.1 I7 220.5 52.7 77 268.7 67.3 38 36.9 09.2 98 95.1 23.8 58 I53.3 38.4 I8 211.5 53.0 78 269.7 67.5 39 37.8 og9.5 99 96.0 24.I 59 154.2 38.6 19 212.4 53.2 79 270.6 67.8 40 38.8 o9.7 Ioo00 97.0 24.3 60 I55.2 38.9 20 213.4 53.5 80 271.6 68.o 4I 39.8 rv.o IOI 98.o 24.5 i6i 156.2 39.1 221 2I4.4 53.7 281 272.6 68.3 42 40.7 10.2 02 98.9 24.8 62 157i.1 39.4 22 215.3 53.9 82 273.5 68.5 43 41.7 io.4 o3 99.9 25.0 63 i58.i 39.6 23 2I6.3 54.2 83 2974.5 68.8 44 42.7 IO.7 o4 100.9 25.3 64 I59.1 39.8 24 227.3 54.4 84 275.5 69.o 45 43.7 10.9 o5 Io0.9 25.5 65 i6o.i 4o.i 25 2I8.3 54.7 85 276.5 69.2 46 44.6 11.2 o6 102.8 25.8 66 i6i.o 40.3 26 229.2 54.9 86 277.4 69.5 47 45.6 ii.4 07 io3.8 26.o 67 162.0o 40o.6 27 220.2 55.2 87 278.4 69.7 48 46.6 11.7 o8 io04.8 26.2 68 i63.o 40.8 28 221.2 55.4 88 279.4 70.o 49 47.5 11.9 og09 105.7 26.5 69 I63.9 41.1 29 222.1 55.6 89 |280.3 70.2 5o 48.5 I2.I IO I06.7 26.7 7o I64.9 4I.3 30 223. I 55. 90 28i.3 70.5 5i 49.5 12.4 III 1077 27.0 71 i65.-9 4I.5 23I 224.I 56.I 291 282.3 70.7 52 50.4 12.6 I2 io8.6 27.2 72 i66.8 4i.8 32 225.o 56.4 92 283.2 71.0 53 5i.4 I2.9 I3 I09.6 27.5 73 I67.8 42.o0 33 226.o 56.6 93 284.2 71.2 54 52.4 i3.i 14 IIo.6 27.7 74 i68.8 42.3 34 227.0o 56.9 94 285.2 71.4 55 53.4 i3.4 I5 iii.6 2q.9 75 169.8 42.5 35 228.0o 57.1I 95 |286.2 71.7 56 54.3 i3.6 i6 112.5 28.2 76 170.7 42.8 36 228.9 57.3 96 287.1 72.9 57 55.3 i3.8 I7 ii3.5 28.4 77 171.7 43.o 37 229.9 57.6 97 288.1 72.2 58 56.3 I4.I i8 II4.5 28.7 78 172:.7 43.3 38 230.9157.8 98 289-1 72.4 59 57.2 I4.3 19 ii5.4 28.9 79 173.6 43.5 39 231.8 58.i 99 290O.0 72.7 6o 58.2 i4.6 20 iI6.4 29.2 8o 174.6 43.7 40 232.8 58.3 3oo 291.0 72.9 Di-st. Dep. Lat. Dist Dep. L. Dep. Dep. Lat. DiDep. ep. - Lat. Dist. Dep. Lat. E.N.E.JE. E.S.E.-E. W.N.W.}W. W.S.W.}W. [For 6} Points. -,,.,= _,.............. Page 6J TABLE I. Difference of Latitude and Departure for 1~ Points. N.byE.RE. N.byW.JW. S.byE. E. S.byW.JW. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. IOI.0 oo.3 6i 58.4 17.7 I2I I I5.8 35. I I8I 173.2 52.5 24I 230.6 70.0 2 01.9 oo.6 62 59.3 I8.o 22 I16.7 35.4 82 I74.2 52.8 42 23I.6 70.2 3 02.9 00oo.9 63 6o.3 i8.3 23 1II7 7 35.7 83 175.I 53. I 43 232.5 70.5 4 o3.8 oi.2 64 6I.2 1e U 24 118.7 36.o 84 176.1 53.4 44 233.5 70.8 5 o4.8 oi.5 65 62.2 1I8.9 25 I9.6 36.3 85 I77.o0 53.7 45 234.5 7-I.I 6 o5.7 OI.7 66 63.2 19.2 26 12o.6 36.6 86 I78.0 54.o 46 235.4 7I.4 7 o6.7 02.0 67 64. 1 19.4 27 121.5 36.9 87 178.9 54.3 47 236.4 71.7 8 07.7 02.3 68 65. 9.7 28 122.5 37.2 88 I79-9 54.6 48 237.'3 72.0 9 o8.6 02.6 69 66.o 20.0 29 23.4 37.4 89 1I80o.9 54.9 49 238.3 72.3 O 09o.6 02.9 70o 67.0 20.3 30 124.4 37.7 90o i8i.8 55.2 50 239.2 72.6 II io.5 o3.2 71 67.9 20.6 I3 I I25.4 38.o I!I 182.8 55. 4 25I 240.2 72.9 12 II.5 o3.5 72 68.9 20.9 32 126.3 38.3 92 I83.7 55.7 52 24I.I 73.2 I3 12.4 o3.8 73 69.9 21.2 33 127.3 38.6 93 i84.7 56.o 53 242.1 73.4 14 I3.4 o4.I 74 70.8 2I.5 34 J28.2 38.9 94 i85.6 56.3 54 243.1 73.7 /5 I4.4 o4.4 75 71.8 2I.8 35 i29.2 39.2 95 i86.6 56.6 55 244.o0 74.0 i6 1I5.3 o4.6 76 72.7 22.I 36 i3o.i 39.5 96 1I87.6 56.9 56 245.0 74.3 17 i6.3 04.9 77 73.7 22.4 37 I31.I 39.8 97 i88.5 57-2 57 245.9 74.6 i8 17.2 05.2 78 74.6 22.6 38 I32.1 40.I 98 I89.5 57.5 58 246.9 74.9 I9 I8.2 o5.5 79 75.6 22.9 39 i33.o 4o.3 99 I9o.4 57-8 59 247.8 75.2 20 I9.I o5.8 8o0 76.6 23.2 4o i34.o 4o.6 200 1i9I.4 58.i 6o 248.8 75.5 21 20.I o6.i 8I 77.5 23.5 i4I I34.9 40.9 20I1 I92.3 58.3 26I 249.8 75.8 22 2I.i o6.4 82 78.5 23.8 42 i35.9 4I.2 02 I93.3 58.6 62 250.7 76.I 23 22.0 o6.7 83 79.4 24.1 43 i36.8 4I.5 o3 i94.3 58.9 63 251I.7 76.3 24 23.o 07.-0 84 8o.4 24.4 44 137.8 4i.8 o4 195.2 59.2 64 252.6 76.6 25 23.9 07.3 85 8i.3 24.7 45 I38.8 42.1 o5 I96.2 59.5 65 253.6 76.9 26 24.9 07.5 86 82.3 25.o 46 I39.7 42.4 o6 I97.-1 59.8 66 254.5 77.2 27 25.8 07.8 87 83.3 25.3 47 140.7 42.7 o7 i98.1 6o.i 6_7 255.5 77.5 28 26.8 o8.i 88 84.2 25.5 48 14I.6 43.o o8 I99.0 6o.4 68 256.5 77.8 29 27.8 o8.4 89 85.2 25.8 49 142.6 43.3 09 200.o 60o.7 69 257.4 78.I 3o 28.7 8.7 90 86.i 26.I 5o i43.5 43.5 IO 201.0 6i.O 70 258.4 78.4 3I 29-7 09-.o 9I 87.-I 26.4 I51 i44.5 43.8 2II 20I.9 6i.3 27 259.3 78.7 32:30o.6 og.3 92 88.o 26.7 52 i45.5 44.I 12 202.9 6i.5 72 260.3 79.0o 33 3i.6 09.6 93 89.0 27.0 53 i46.4 44.4 i3 203.8 6i.8 73 261.2 79.2 34 32.5 og9.9 94 90.0 27.3 54 I47.4 44.77 I4 204.8 62.I 74 262.2 79.5 35 33.5 IO.2 95 90o.9 27.6 55 I48.3 45.o I 205.7 62.4 75 263.2 79.8 36 34.4 io.5 96 91I.9 27.9 56 I49.3 45.3 i6 206.7 62.7 76 264.1 80o.i 37 35.4 IO.7 97 92.8 28.2 57 150.2 45.6 i17 0'7-7 63.o 77 265.I 8o.4 38 36.4 1I.o 98 93.8 28.4 58 I5I.2 45.9 i8 208.6 63.3 78 266.o 80.7 39 37.3 II.3 99 94.7 28.7 59 1I52.2 46.2 19 20o9.6 63.6 79 267.o 8i.o 4I 38.3 I.6 IOO 95.7 29.0 6o 153.i 46.4 20 2IO.5 63.9 80 267.9 8i.3 4i 39.2 II.9 iOi 96.7 29.3 i6i i54.I 46.7 22I 21.5 64.2 281 268.9 8I.6 42 40.2 I2.2 02 97.6 29.6 62 I55.o 47.0 22 22.4 64.4 82.269.9 81si.9 43 4I.I 12.5 o3 98.6 29.9 63 i56.o 47.3 23 2I3.4 64.7 83 270.8 82.2 44 42.1 12.8 o4 99.5 30.2 64 1I56.9 47.6 24 2I4.4 65.o 84 27I.8 82.4 45 43.i I3.I o5 Ioo.5 3o.5 65 1i57.9 47.9 25 215.3 65.3 85 272.7 82.7 46 44.o i3.4 o6 ioi.4 3o.8 66 I58.9 48.2 26 21I6.3 65.6 86 273.7 83.o 47 45.o i3.6 07 102.4 31.i 67 I59.8 48.5 27 217.2 65.9 87 274.6 83.3 48 45.9 I3.9 o8 io3.3 3I.4 68 i6o.8 48.8 28 -2i8.2 66.2 88 275.6 83.6 49 46.9 I4.2 og io4.3 3i.6 69 I6I.7 49.I 20 ~9. 1 66.5 89 276.6 83.9 5o 47.8 I4.5 Io io5.3 3I.9 70 I62.7 49.3 30 o,.I 66.8 9o 277.-5 84.2 5I 48.8 I4.8 IIi 1-0-6.2 32.2 17I i63.6 49.6 23I 22I.I 67.1 291 278.5 84.5 52 49.8 I5.I 12 I07.2 32.5 72 i64.6 49.9 32 222.0 67.3 92 279.4 84.8 53 50.7 i5.4 13 io8.i 32.8 73 i65.6 50.2 33 223.0 67.6 93 280.4 85.i 54 5i.7 I5.7 I4 io9.i 33. I 74 i66.5 50.5 34 223.9 67.9 94 28I.3 85.3 55 52.6 i6.o I5 iio.o 33.4 75 1I67.5 5o.8 35 224.9 68.2 95 282.3 85.6 56 53.6 i6.3 i6 Ii.o 33.7 76 i68.4 5i.I 36 225.8 68.5 96 283.3 85.9 57 54.5 i6.5 I7 1 I2.0 34.0 77 169.4 5i.4 37 226.8 68.8 97 284.2 86.2 58 55.5 i6.8 i8 II2.9 34.3 78 170.3 51.7 38 227.8 69.I 98 285.2 86.5 59 56.5 17.I 19 113. 34.5 79 17.3 52.o0 39 228.7 69.4 99 286.1 86.8 6o 57.4 17.4 4 20 II4.8 3.8 8o 172.2 52.3 4 229.7 69.7 3o00 287.1 87.I Dis.Dep. Lat.Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. E.N.FE. E.S.E.AE. W.N.W.W. W.S.W.jW. [For 6Q Points. Difference of Latitude and Departure for 1I Points. N.byE.RE. N.byW.JW. S.byE.RE. S.byW.IW. Dist. Lat. Dep. Dist. Lat. Dep. LDist.l Lat. Dep.'Dist. Lat. Dep. Dist. Lat, Dep. 00.9 co.3 6I 57.4 20.6 0_ 2 II3.9 4o.8 i8I I70.4 6I.o 24I 226.9 81.2 2 OI.9 00.7 62 58.4 20.9 22 II4.9 41. I 82 171.4 6I.3 42 227. 8i.5 3 02. OI. 63 59.3 21.2 23 ii5.8 4I.4 83 I172.3 6I.7 43 228. 81.9 4 o3.8 oi.3 64 60.3 2I.6 24 ii6.8 4I.8 84 173.2 62.o 44 229.7 82.2 5 o4.7 O1I.7 65 61.2 2I1.9 25 1 17.7 42. I 85 1I74.2 62.3 45 230.7 82.5 6 o5.6 02.0 66 62. I 22.2 26 I i8.6 42.4 86 175. I 62.7 46 231.6 82.9 7 o6.6 02.4 67 63. I 22.6 27 II9.6 42.8 87 176. I 63.o 47 232.6 83.2 8 07.5 02.7 68 64.o 22.9 28 120.5 43. I 88 177.o0 63.3 48 233.5 83.5 9 o8.5 o3.o 69 65.o 23.2 29 121.5 43.5 89 178.o 63.7 49 234.4 83.9 IO og.4 o3.4 7o 65.9 23.6 3o0 22-.4 43.8 90 178.9 64.o 50o 235.4 84.2 ii IO.4 03.7 7I 66.8 23.9 I3I I23.3 44. I 191 I79.8 64.3 25I 236.3 84 6 I 2 II.3 04. o 72 67.8 24.3 32 I24.3 44.5 92 I80o.8 64.7 52 237.3 84.9 13 I2.2 o4.41 73 68.7 24.6 33 1 25.2 44.8 93 181.7 65.o 53 238.2 85.2 I4 13.2 04.7 74 69.7 24.9 34 I26.2 45. I 94 182.7 65.4 54 239.2 85.6 i5 I4. 1 o5.I 75 70.6 25.3 35 127.1 45.5 95 i83.6 65.7 55 240.1 85.9 i6 15.1 o5.4 76 71.6 25.6 36 128.o 45.8 96 i84.5 66.0o 56 24.o 86.2 17 i6.o o5.7 77 72.5 25.9 37 I29.0 46.2 97 i85.5 66.4 57 242.0 86.6 i8 16.9 o6. I 78 73.4 26.3 38 I29.9 46.5 98 I86.4 66.7 58 242.9 86.9 I 9 I 7.9 o6.4 79 74.4 26.6 39 30o.9 46.8 99 I87.4 67.o 59 243.9 87.3 20 i 8.8 o6.7 8o 75.3 27.0 4o i3i.8 47.2 200 i88.3 67.4 6o 244.8 87.6 21I9.8 07.-I 8- 76.327.3 I4i 132.8 47-.5 20 189.3 67-7 261 2457 87.9 22 20I7 07.4 82 77.2 27.6 42 I33.7 47.8 02 I90.2 68.I 62 246.7 88.3 23 21.7 07-7 83 78. I 28o 43 i34.6 48.2 03 191. 68.4 63 247.6 88.6 24 22.6 o8. i 84 79. I 28.3 44 i35.6 48.5 o4 192.1 68.7 64 248.6 88.9 25 23.5 o8.4 85 8o.o 28.6 45 i36.5 48.8 o5 i93.o0 69. 65 249.5 89.3 26 24.5 o8.8 86 8i.0 29.0 46 137.5 49.2 o6J I94.0 69.4 66 250.5 89.6 27 25.4 o9.I 87 81.9 29.3 47 i 38.4 49.5 07 I94.9 69-7 67 25I.4 89.9 28 26.4 09o.4 88 82.9 29.6 48 139.3 49.9 o8 195.8 70.I 68 252.3 9o.3 29 27.3 og.8 89 83.8 3o.o 49 I4o.3 50o.2 09 196.8 70.4 69 253.3 9o.6 3o 28.2 10. 9o 84 7 3o.3 5o 141.2 Io.5 1J0 I97.7 70.7 70 254.2 91.0 31 29.2 I0.4 91 85.7 30.7 151 142.2 50.9 2II9I98.7 71.1 271 255.2 91.3 32 30.I Io.8 92 86.6 3i.0 52 I43. i 51.2 12 199.6 7I.4 72 256. I 91.6 33 3i. I ii.I 93 87.6 3i.3 53 I44. I 5I.5 13 200.5 7I.8 73 257.0 92.0 34 32.o 11.5 94 88.5 3I.7 54 145.o0 51.9 14 20I.5 72.I 74 258.o 92.3 35 33.o ii.8 95 89.4 32.o 55 145.9 52.2 I5 i202.4 72.4 75 258.9 92.6 36 33.9 12. I 96 90.4 32.3 56 146. 52.6 16 203.4 72.8 76 259.9 93.o 37 34.8 12.5 97 9I.3 32.7 57,47:8~ 52.9 I7 204.3 173.I 77 260. 93.3 38 35.8 I2.8 98 92.3 33.o 58 I48.8 53.2 8 20o5.3 73.4 78 261.7 93.7 39 36.7 13.1I 99 93.2 33.4 59 149.7 53.6 19 206.2 73.8 79 262.7 94o0 4o 37.7 i3.5 Ioo 94.2 33.7 6o0 5o.6 53.9 20 207. I 74. I 8o 263.6 94.3 4i1 38. I3.8 IOI 95.1 34.o I61 i5i.6 54.2 221 208.1 74.5 28I 264.6 94.7 42 139.5 14.I 02 96.o 34.4 62 52.5 54.6 22 209.0 74.8 82 265.5 95.0 43 4o. 5 I4.5 o3 97.0o 34.7 63 i53.5 154.9 23 210.0 o75.i 83 266.5 95.3 44 4r.4 i4.8 o4 97.9 35.o 64 I54.4 55.2 24 2I0.9 75.5 84 267.4 95.7 45 42.4 5.2 o5 98.9 35.4 65 55.4 55.6 25 21. 8 75.8 85 268.34 96.o 46 43.3 I5.5 o6 99.8 35.7 66 i56.3 55.9 26 212.8 76.I 86 269.3 96.4 47 44.3 I5.8 07 100.7 36.o 67 i57.2 56.3 27 2I3.7 76.5 87 270.2 96.7 48 45.2 I6.2 o8 101.7 36.4 68 158.2 56.6 28 214.,7 76.8 88 27.2 97.0 49 46. I i6.5 o9 1I02.6 36.7 69 59.1 56.9 29 2I5.6 77I 89 272. I 97.4 50 47-I i6.8 Io io3.6 37. I 70 I60. 57.3 30 2I6.6 77.5 90 273.o 97.7 51 48.o 17.2 iii io4.5 37.4 171 I6I.0 57-6 23I 217.5 77.8 29I 274.0 98.0 52 49.0 17.5 12 I0o5.5 37.7 72 i6I.9 57.9 32 2I8.4 78.2 92 274.9 98.4 53 49.9 I 7.9 3 I0o6.4 38.I 73 1I62.9 58.3 33 2I9.4 78.5 93 275.9 98.7 54 50o.8 I8.2 1 4 107.3 38.4 74 i63.8 58.6 34 220.3 78.8 94 276.8 99.0 55 5I.8 i8.5 51 i0o8.3 38.7 75 i64.8 59.o 35 221.3 79.2 95 277.8 99.4 56 52.7 I8.9 i6 109.2 39.1 76 165.7 59.3 36 222.2 79.5 96 278.7 99.7 57 53.7 19.2 17 I10.2 39.4 77 166.7 59.6 37 223.1 79.8 97 279.6 Ioo.1 58 54.6 19.5 i8 iii.I 39.8 78 I67.6 6o.o 38 224. I 80.2 98 280.6 I0oo.4 59 55.6 I9.9 I9 I12.0o 4o0. 79 i68.5 6o.3 39 225.o 8o.5 99 28I.5 100.7 6o 56.5 20.2 20 iI3.o 4o.4 8o0 169.5 6o.6 4o 226.o 80.9 300 282.5 IOI.I Dist. Dep. Iat. Dist. Lep. Lat. Dist. Dep. Lat. Dist.l Dep. at. Dist. Dep. Lat..N..E. E.S.E.. WNWW WSW. For 6 Points. L-, [Fo 6..Po__.inrts. __., Page 8] TABLE I. Difference of Latitude and Departure for 2 Points. N.N.E. N.N.W. S.S.E. S.S.W. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. I oo.9 oo.4 6I 56.4 23.3 121 111.8 46.3 181 167.2 69.3 241 222.7 92.2 2 oi.8 oo.8 62 57.3 23.7 22 I12.7 46.7 82 I68. 69.6 42 223.6 92.6 3 02.8 oi. I 63 58.2 24.I 23 113.6 47.I 83 169.1 70.0 43 224.5 93.0 4 o3.7 oI.5 64 59 I 24.5 24 114.6 47.5 84 170.0 70.4 44 225.4 93.4 5 o4.6 O1I.9 65 6o. I 24.9 25 1II5.5 47.8 85 I70.9 70.8 45 226.4 93.8 6 o5.5 02.3 66 6i.o 25.3 26 I i6.4 48.2 86 171.8 71.2 46 227.3 94.I 7 o6.5 02.7 67 6i.9 25.6 27 117.3 48.6 87 172.8 71.6 47 228.2'94.5 8 07.4 o3.I 68 62.8 26.0o 28 I8.3 49.o 88 173.7 7I.9 48 229. I 94.9 9 o8.3 o3.4 69 63.7 26.4 29 I 9.2 49.4 89 174.6 72.3 49 230o.o 95.3 10 09.2 03.8 70 64.7 26.8 30 120o. 49.7 90 175.5 72.7 50 23I.0 95.7 11 IO.2 o4.2 71 65.6 27.2 I3I 21i.o 5o.1 I91 I76.5 73.1 251 231.9 96.I 2 ii.i o4.6 72 66.5 27.6 32 122.o 50.5 92 177.4 73.5 52 232.8 96.4 13 I2.0 o 05.0 73 67.4 27.9 33 122.9 50.9 93 178.3 73.9 53 233.7 96.8 14 12.9 o5.4 74 68.4 28.3 34 1I23.8 5i.3 94 179.2 74.2 54 234.7 97.2 I5 I 3.9 o5.7 75 69.3 28.7 35 I24.7 51.7 95 80o.2 74.6 55 235.6 97.6 6 I4.8 o6. i 76 70.2 29. I 36 I25.6 52.0 96 i8i I 75.0 56 236.5 98.0 17 15.7 o6.5 77 7I.1 29.5 37 126.6 52.4 97 182.0 75.4 57 237.4 98.3 I8 I6.6 o6.9 78 72. I 29.8 38 127.5 52.8 98 I82.9 75.8 58 238.4 98.7 19 17.6 07.3 79 73.0 30.2 39 I28.4 53.2 99 I83.9 76.2 59 239.3 99.I 20 I8.5 07.7 80 73.9 30.6 40 I29.3 53.6 200 I84.8 76.5 6o 240.2 99.5 21 19.4 o8.o 8I 74.8 3I.o I4I I3o.3 54.o 20o i85.7 76.9 26I 241.I 99.9 22 20.3 o8.4 82 75.8 3I.4 42 131.2 54.3 0 86.6 773 62 242. I Io. 23 21.2 O8.8 83 76.7 3i.8 43 132. I 54.7 03 I 87.5 77.7 63 243.o Ioo.6 24 22.2 09.2 84 77.6 32.1 I 44 133.0 55. I o4 i88.5 78.I 64 243.9 101.0 25 23.I 09.6 85 78.5 32.5 45 i34.o 55.5 o5 189.4 78.5 65 244.8 IoI.4 26 24.o 09.9 86 79.5 32.9 46 134.9 55.9 o6 19o.3 78.8 66 245.8 io0.8 27 24.9 io.3 87 80.4 33. 47 i35.8 56. 07 I9I.2 79.2 67 246.7 102.2 28 25.9 10.7 88 81.3 33.7 48 136.7 56.6 o8 192.2 79.6 68 247.6 I02.6 29 26.8 II.i 89 82.2 34.1 49 I37.7 57.0 o9 193.1 80.o 69 248.5 102.9 30 27.7 11.5 9o 83. I 34.4 50o I38.6 57.4 o 194. o 80.4 70 249.4 Io3.3 31 28.6 11.9 i9i 84.I 34.8 i5I I39.5 57.8 2II I94.9 80.7 271 250.4 103.7 32 29.6 I2.2 92 85.o 35.2 52 I4o.4 58.2 12 I95.9 8.1. 72 251.3 io4. 33 30.5 192.6 93 85.9 35.6 53 I4I.4 58.6 I3 196.8 8I.5 73 252.2 Io4.5 34 3i.4 I3.o 94 86.8 36.o 54 142.3 58.9 14 I97.7 8i.9 74 253.1 l04.9 35 32.3 I 3.4 95 87.8 36.4 55 143.2 59.3 I5 198.6 82. 75 254.I 105.2 36 33.3 13.8 96 88.7 36.7 56 44. I 59.7 I6 I99.6 82.7 76 255.0 io5.6 37 34.2 14.2 97 89.6 37. 57 45.0o 60.I 17 2oo00.5 83.o 77 255.9 Io6,o 38 35.I i4.5 98 90.5 37.5 58 146.o 60.5 I8 201.4 83.4 78 256.8 106.4 39 36.o I4.9 99 9I.5 37.9 59 146.9 6o.8 19 202.3 83.8 79 257.8 o6.8 40 37.0 15.3 oo 92.4 38.3 60 I47.8 61.2 20 203.3 84.2 80 258 7 I07.2 41IOI 93.3 38. 7 6 8.7.6 221 204.2 84.6 281 259.6 107.5 42 38. i6.I 02 94.2 39.0 62 I49.7 62.0 22 205.1 85.o 82 260. 5 07.9 43 39.-7 i6.5 o3 95.2 394 635o.6 62.4 23 206.0 o 5.3 83 261.5 I o8.3 44 40.7 i6.8 o4 96.I 39.8 64 151.5 62.8 24 206.9 85.7 84 262.4 108.7 45 4I.6 1I7.2 o05 97.0 40.2 65 152.4 63. 25 207.9 86. 85 263.3 109.I 46 42.5 1I 7.6 o6 97.9 40o.6 66 153.4 63.5 26 208.8 86.5 86 264.2 109.4 47 43.4 i8.o 07 98.9 40.9 67 I54.3 63.9 27 209 7 86.9 87 265.2 109.8 48 44.3 I8.4 o8 99.8 41.3 68 155.2 64.3 28 2I0.6 87.3 88 266. I Io.2 49 45.3 18.8 09 100.7 41.7 69 I56.I 64.7 29 21 I.6 87.6 89 267.0 Iio.6 5o 46.2 I9. I IO ioi.6 142. 70 I57.I 65.1 30 2I2.5 88.o 90 267.9 I1.0o 5I 47-I 9 I.5I I I02.6 42.5 171 i58.o 65.4 231 213.4 88.4 29I 268.8 111.4 52 48.o I9.9 1r2 Io3.5 42.9 72 I58.9 65.8 32 2I4.3 88.8 92 269.8 II I.7 53 49.0 20.3 I3 io4.4 43.2 73 I59.8 66.2 33 215.3 89.2 93 270.7 I I2.1 54 49.9 20.7 I4 o05.3 43.6 74 i6o.8 66.6 34 216.2 89.5 94 271.6 I 12.5 55 5.8 21.0 i5 106.2 44.o 75 161.7 67.0 35 2I7.1 89.9 95 272.5 I2.9 56 51.7 21i.4 i6 I o7. 2 44.4 76 I62.6 67.4 36 218.0 90.3 96 273.5 I13.3 57 52.7 21.8 17 IO8. 44.8 77 i63.5 67.7 37 2I9.0 907 97 274.4 I I3.7 58 53.6 22.2 i8 io9.o 45.2 78 i64.5 68. 38 2I9. 91.1 98 275.3 I 4.o 59 54.5 22.6 I9 IOg.9 45.5 79 I65.4 68.5 39 220.8 91.5 99 276.2 I14.4 6o 55.4 23.0 20 110.9 45.9 80 I66.3 68.9 4 221.7918 300 277.2 II4.8 Dlst.D-p ~ [Dist. Dep. Lat.at. Dist. Dep. ILat. Dist. Dep. Lat. Distl Dep. Lat. E.N.E. E.S.E. N. W.W. [For 6 Points. E.N.E. E.S.E. W.N.W. W.S.W. [For 6 Points. T'LABLE I. [Page 9 Difference of Latitude and Departure for 21 Points. N.N.E.4E. N.N.W.~W. S.S.E.4E. S.S.W.iW. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. I Dep. I 00oo.9 oo.4 6I 55. I 26.1 121 109.4 51.7 48I I63.6 77.4 241 217.9 I^3C 2 oi.8 00.9 62 56.0o 26.5 22 IIO.3 52.2 82 I64.5 77.8 42 2I8 8 Io3.5 3 02.7 oi.3 63 57.0o 26.9 23 111.2 52.6 83 I65.4 78.2 43 219.7 103.9 4 o3.6 OI 0.7 64 57.9 27.4 24 II2. I.1 53.0 84 i66.3 78.7 44 220.6 I04.3 5 o4.5 02.I 65 58.8 27.8 25 ii3.o 53.4 85 I67.2 79.1 45 22I.5 i04.8 6 o5.4 o02.6 66 59.7 28.2 26 1I3.9 53.9 86 i68. 79.5 46 2 22.4 I 05.2 7 o6.3 03.0 67 60.6 28.6 27 ii4.8 54.3 87 169.0 8o.o 47 223.31 105.6 8 07.2 o3.4 68 6I.5 29.1 28 I15.7 54.7 88 I69.9 8o.4 48 224.2 106.0 9 o8. I o3.8 69 62.4 29.5 29 I 6.6 55.2 89 I70.9 80.8 49 225. I I o6.5 Io o9.0 o4.3 7o 63.3 29.9 30 1II7.5 55.6 90 171.8 81.2 50 226. o 106.9 II o9.9 04.7 71 64~.2 30.4 i3I JI8.4 56.o IgI I72.7 8I.7 25I 226.9 I07.3 I2 io.8 o5. I 72 65.I 3o.8 32 119.3 56.4 92 173.6 82.I 52 227.8 107-7 I3 ii.8 o5.6 73 66.o 3I.2 33 120.2 56.9 93 1I74.5 82.5 53 228.7 108.2 14 I2.7 o6.o 74 66.9 3i.6 34 121. I 57.3 94 I75.4 82.9 54 229.6 I8.6 I5 13.6 o6.4 75 67.8 32.I 35 I22.0 57.7 95 I76.3 83.4 55 230.5 IOg9.0 16 I4.5 o6.8 76 68.7 32.5 36 I22.9 58.i 96 I77.2 83.8 56 23I.4 IO9.5 17 I5.4 07.3 77 69.6 32. 37 I23.8 58.6 97 178.1 84.2 57 232.3 109g9 I8 I6.3 07.7 78 70.5 33.3 38 I24.8 59.o 98 I79.o 84.7 58 233.2 io.3 I9 17.2 o8.I 79 7I.4 33.8 39 I25.7 59.4 99 I79.9 85.I 59 234. I 110.7 20 8. Io08.6 8o 0 72.3 34.2 4o I26.6 59.9 200 I80.8 85.5 6 235.0 111.2 21 19.0 09.0 8i 73.2 34.6 I4I 127.5 60.3 20I 181.7 85.9 26i 235.9 I I.6 22 I9.9 09.4 82 74.1 35.1 42- 128.4 60.7 02 I82.6 86.4 62 236.8 112,0 23 20.8 og.098 83 75.0 35.5 43 129..3 6i.i o3 i83.5 86.8 63 237.7 I 2.4 24 2I.7 o0.3 84 75.9 35.9 44 i3o.2 6i.6 o4 I84.4 87.2 64 238.7 112.9 25 22.6 10.7 85 76.8 36.3 45 I3I.I 62.0 o5 i85.3 87.6 65 239.6 I 3.3 26 23.5 ii.i 86 77.7 36.8 46 132.0 62.4 o6 186. 2 88.I 66 240.5 113.7 27 24.4 II.5 87 78.6 37.2 47 I32.9 62.9 07 i87.1 88.5 67 24I.4 IZ4.2 28 25.3 I2.o 88 79.6 37.6 48 i33.8 63.3 o8 i88.o 88.9 68 242.3 1I4.6 29 26.a 12.4 89 8o. 5 38.I 49 134.7 63.7 og I88.9 89.4 69 243.2 ii5.o 30 27.I 12.8 90 8i.4 38.5 5o I35.6 64.1 Io I89.8 89.8 70 244. I 5.4 3 28.0 o3.3 9 I 82.3 38.9 15I 36.5 64.6 21 190.7 go90. 27 245.0 1 5.9 32 28.9 13.7 92 83.2 39.3 52 137.4 65.o I2 191.6 90.6 72 245.9 ii6.3 33 29.8 I4.1 93 84. I 39.8 53 I38.3 65.4 I3 I92.5 91.1 73 246.8 116.7 34 30.7 I4.5 94 85.o 40.2 54 139.2 65.8 i4 I93.5 91.5 74 247.7 11 7.2 35 3i.6 i5.o 95 85.9 4o.6 55 4o0.- 66.3 I5 194.4 9I.9 75 248.6 117.6 36 32.5 5.4 96 86.8 4i.0 56 i4i.o 66.7 i6 I95.3 92.4 76 249.5 118.o 37 33.4 I5.8 97 87.7 4i.5 57 141.9 67.1 17 196.2 92.8 77 250.4 I 8.4 38 34.4 16.2 98 88.6 41.9 58 142.8 67.6 I8 I97.1 93.2 78 25i.3 I8.9 39 35.3 16.7 99 89.5 42 3 59 I43.7 68.o I9 198.0 93.6 79 2 52.2 119.3 40 36.2 17.I 100 90.4 42.8 60 i44.6 68.4 20o I 98.9 94.I 80 253.I 119.7 4I 37.1 17.5 IOI 9I.3 43.2 161 145.5 68.8 221 I99.8 94.5 281 254.o 120.1 42 38.0o 8.o 02 92.2 43.6 62 I46.4 69.3 22 200.7 94.9 82 254.9 120.6 43 38.9 I 8.4 03 93.I 44.0'63 147.4 69.7 23 201.6 95.3 83 255.8 12I.0 44 39.8 I8.8 o4 94. 44.5 64 i48.3 70.I 24 202.5 95.8 84 256.7 I 2,.4 45 40.7 I9. 2 o5 94.9 44.9 65 49. 2 70.5 25 203.4 96.2 85 257.6 121.9 46 4i.6 19.7 o6 95.8 45.3 66 I50o. 71.0 26 204.3 96.6 86 258.5 122.3 47 42.5 20.1 07 96.7 45.7 67 i5i.o 71.4 27 205.2 97. I 87 259.4 12 2.7 48 43.4 20.5 o8 97.6 46.2 68 151.9 7.8 28 -2o6.I 97.5 88 260.3 I 23. 49 44.3 21, 09 98.5 46.6 69 I 52.8 72.3 29 207.0 97.9 89 26I.3 I 23.6 50 45.2 21.4 10 99.4 47.0 70 I53.7 72.7 30 207.9 98.3 go 262.2 124.0 5I 46. 21.8 I I I oo00.3 47.5 171 i54.6 73. 1 23 2088 98.8 29I 263. 1I24.4 52 47.0 22.2 12 101.2 47.9 72 I55.5 73.5 32 209.7 99.2 92 264.0 124.8 53 479 22.7 I3 102.2 48.3 73 I56.4 74.0 33 2IO.6 99.6 93 264.9 I25.3 54 48.8 23.1 1 4 io3. I 48.7 74 I57.3 74.4 34 211.5 I00.0 94 265.8 I25.7 55 49x7 23.5 S io04.o0 49-2 75 I 58.2 74.8 35 12I2.4 oo00.5 95 266.7 126. I 56 5o.6 23.9 i6 io4. 49.6 76 59. I 75.2 36 2I3.3 I00.9 96 267.6 1 26.6 57 51.5 244 I 7 Io 58 5o.o 77 i60o. 75.7 37 214.2 ioi.3 97 268.5 I27.0 58 5z.4 24.8 I8 I06.7 5o.5 78 I60.9 76.1 38 2I5. I Io.8 98 269.4 I27.4 59 53 3 25.2 19 107.6 50.9 79 i6i 8 76.5 39 2I6.1 102.2 99 270.3 127.8 60 54.2 25.7 20 I8.5 5.3 80 62.7 77.0 4o 2I7.0 102.6 300 27.2 128.3 Dist. Dep. a Dist. Dep Lat. ist Dep. at. Dist. Dep. Lat. Dist. Dep. Lat. N.E.byE.4E. S.E.byE.E. N.W.byW.}W. S.W.byW.}W. fFor 5} Points. 2 Page 10] TABLE I. Difference of Latitude and Departure for 2. Points. N.N.E.4E. N.N.W.AW. S.S.E.JE. S.S.W.3W. Dist. Lat. Deo. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist.' LEt. Dep. o00.9 oo.5 6I- 5-3.8 28.8 1 2 1 o6.7 57.0 8I I59.6 85.3 241 2I2.5 I I3.6 2 oi.8 oo.9 62 54 7 29.2 22 o107.6 57.5 82 I6o.5 85.8 42 213.4 II4.l 3 02.6 oI.4 63 55.6 29.7 23 io8.5 58.o 83 I6I.4 86.3 43 214.3 I X4.5 4 o3.5 oi.9 64 56.4 30.2 24 Io09.4 58.5 84 I62.3 86.7 44 2I5.2 I15.o 5 o4.4 o2.4 65 57.3 3o.6 25 o10. 2 58.9 85 I63.2 87.2 45 21 6. I I I 5.5 6 o,5.3 02.8 66 58.2 3I.I 26 iiI.I 59.4 86 I64.o 87.7 46 217.0 I6.o 7 o6.2 o03.3 67 59. I 3 i.6 27 112.0 59.9 87 164.9 88.2 47 2I7.8 I I6.4 8 07.I o3.8 68 60.o 32. I 28 I I 2.9 60.3 88 I65.8 88.6 48 218.7 I I6.9 9 o7.9 o4.2 69 60.9 32.5 29 Ii3.8 6o.8 89 I66.7 89.1 49 219.6 17.4 Io o8.8 04.7 70 6 1.7 33.o 30 I I4.6 6i.3 90 I67.6 89.6 50 220.5 1 I7.8 II 09.7 o5.2 71 62.6 33.5 I3I Ii5.5 6I.8 I9I I68.A go.o 25i 221.4 II8.3 12 Io.6 0o5.7 72 63.5 33.9 32 II6.4 62.2 92 I69.3 90.5 52 22.2 I I8.8 13 I I.5 o6.1 73 64.4 34.4 33 II7.3 62.7 93 170.2 9I.o 53 223. I I 19.3 14 I 2.3 o6.6 74 65.3 34.9 34 I i8.2 63.2 94 17I. 1 91.5 54 224.0 II9-7 I5 I3.2 07.I 75 66.I 35.4 35 II9.I 63.6 95 172.0 g9I.9 55 224.9 120.2 I6 I4. I 07.5 76 67.o 35.8 36 I I9.9 64.i 96 172.9 92.4 56 225.8 I20.7 17 i5.o o8.o 77 67.9 36.3 37 I20.8 64.6 97 173.7 92.9 57 226.7 12I.1 I8 I5.9 o8.5 78 68.8 36.8 38 12I.7 65.i 98 174-6 93.3 58 227.5 121.6 I9 I6.8 09.0 79 69.7 37.2 39 I22.6 65.5 99 I75.5 93.8 59 228.4 122.I 20 17.6 09.4 80 70.6 37.7 4o 123.5 66.o 200 I76.4 94.3 60 229.3 I 22.6 21 I8.5 o9.9 8I 71.4 38.2 I4I 14. 4 66.5 20I 177.3 94.8 26I 230.2 123.0 22 19.4 Io.4 82 72.3 38.7 42 125.2 66.9 02 I78. I 95.2 62 23I. I 23.5 23 20.3 Io.8 83 73.2 39. I 43 126. I t7.4 o3 I79.0 95.7 63 23I.9 I 24.-o 24 2I.2 I i.3 84 74. I 39.6 44 I27.o 67.9 o4 179.9 96.2 64 232.8 I 24.4 25 22.0 rI.8 85 75.o 4o.i 45 127.9 68.4 o5 i8o.8 96.6 65 233.7 I 24.9 26 22.9 12.3 86 75.8 4o.5 46 I28.8 68.8 o6 I8I.7 97.i 66 234.6 I25.4 27 23.8 I2.7 87 76.7 4i.o 47 I29.6 69.3 07 I82.6 97.6 67 235.5 I 25.9 28 24.7 I3.2 88 77.6 4I.5 48 I3o.5 69.8 o8 I83.4 98.1 68 236.4 126.3 29 25.6 I3.7 89 78.5 42.o 49 i3i.4 70.2 09 i84.3 98.5 69 237.2 I26.8 30 26.5 I4.I 90 79.4 42.4 So I32.3 70;7 Io I85.2 99.0 70 238.I 127.3 3I 27.3 I4.6 9I 8o.3 42.9 i5iI 33.2 71.2 2II i86.I 99.5 27I 239.0 I27.7 32 28.2 I5.I 92 8i.I 43.4 52 i34.I 71.7 I2 187.0 99.9 72 239.9 128.2 33 29. I I 5.6 93 82.0o 43.8 53 134.9 72.I I 3 I87.8 Ioo.4 73 24o.8 128.7 34 30.o i6.o 94 82.9 44.3 54 i35.8 72.6 14 I88.7 100.9 74 24I.6 29.2 35 30.9 i6.5 95 83.8 44.8 55 I36.7 73.I I5 I89.6 IOI.4 75 242- 5 129.6 36 31.7 I7.0 96 84.7 45.3 56 I37.6 73.5 I6 I90.5 IOI.8 76 243.4 I3o.I 37 32.6 17.4 97 85.5 45.7 57 I38.5 74.0 17 I9I.4 I02.3 77 244.3 I3o.6 38 |33.5 I 7.9 98 86.4 46.2 58 i39.3 74.5 8 I 92.3 Io2.8 78 245.2 i3i.o 39 34.4 i8.4 99 87.3 46.7 59 140.2 75.0 I9 I93. I I03.2 79 246 I I3i.5 40o 35.3 I8.9 Ioo 88.2 47.1 6o 14I.I 75.4 20 194.o I03.7 80o 246.9 I32.0 4I 36.2 9 g.3 ioI 89.1 47.6 i6 I42.0 75.9 22I 194-9 04.2 28I 247.8 32.5 42 37.0 Ig.8 02 90-o 48.I 62 142.9 76.4 22 i95.8 I04.7 82 248.7 I32.9 43 37.9 20.3 o3 90.8 48.6 63 i43.8 76.8 23 I96.7 Io5.I 83 249.6 i33.4 44 38.8 20.7 o4 9.7'49.o 64 I44.6 77.3 24 I 97.-6 I o5.6 84 250.5 I 33.9 45 39.7 21.2 o5 92.6 49.5 65 I45.5 77.8 25 I98.4 io6.i 85 25I.3 i 34.3 46 4o.6 21.7 o6 93.5 5o.o 66 i46.4 78.3 26 I99.3 Io6.5 86 252.2 34.8 47 4i.5 22.2 07 94.4 50o.4 67 I47.3 78.7 27 200.2 07.0 87 253. I 135.3 48 42.3 22.6 o8 95.2 50.9 68 I48.2 79.2 28 20I.I I07.5 88 254.o I35.8 49 43.2 23. 09 96.I 5I.4 69 I49.0 79.7 29 202.0 107.9 89 254.9 36.2 So 44. 23.6 IO 97.0 5I.9 70 I49.9 8o.i 30 202.8 Io8.4 90 255.8 36.7 5I 45.o 24.o III 97.9 52.3 17I i5o.8 80.6 23I 203.7 i08.9 291 256.6 37.2 52 45.9 24.5 12 98.8 52.8 72 ISI.7 8i.I 32 204.6 Io09.4 92 257.5 37.6 53 46.7 25.0 I3 99.7 53.3 73 I52.6 8I.6 33 20o5.5 Io09.8 93 258.4 i38.i 54 47.6 25.5 I4 Ioo.5 53.7 74 i53.5 82.0 34 206.4 Iio.3 94 259.3 38.6 55 48.5 25.9 I5| Io.4 54.2 75 I54.3 82.5 35 207.3 Iio.8 95 1260.2 I39.1 56 49.4 26.4 I6 o02.3 54.7 76 I55.2 83.o 36 208.I 11I.2 96 26i.o0 39.5 57 50.3 26.9 I7 I03.2 55.2 77 i56.I 83.4 37 209.0 11I.7 97 26I.9 i4o.o 58 51.2 27.3 i8 io4.I 55.6 78 I57.0 83.9 38 209.9 II2.2 98 262.8 i4o 5 59 52.o0 27.8 19 I o4.9 56.I 79 I57.9 84.4 39 210.8 I12.7 99 263.7 140o.9 60o 52.9 28.3 20o io5.8 56.6 80 I58.7 84.9 4o 211.7 Ii3.i 3oo 264.6 I4I4 Dist. Dep. La t. Dist. Dep. Lat. Dist. Depa. W ist. Dep. Dst.lep. La. N.E.byE.AE. S.E.byE.RE. N.W.byW.AW. S.W.byW.AW. [For 5A Points..5 TABLE I.. Page 11 Difference of Latitude and Departure for 2j. Points. N.N.E.E. N.N.W.JW. S.S.E.JE. S.S.W.1W. Dist. Lat. Dep. |Dist. Lat. I Dep. Dist.| Lat. Dep. Dist. Lat. 1 Dep. Dist. Lat. Dep. I oo00.9 oo.5 6I 52.3 3 I.4 I2I Io3.8 62.2 IIi I55.2 93.1 24I 206.7 1I23.9 2 01.7 oI.o 62 53.2 3I 1.9 22 Io4.6 62.7 82 i56.i 93.6 42 207.6 124.4 3 o2.6 oi.5 63 54.o 32.4 23 eo5.5 63.2 83 I57.0 94.I 43 20o8.41 I24.9 4 o3.4 02. I 64 54.9 32.9 24 io6.4 63.7 84 157.8 94.6 44 2c9.3 I25.4 5 o4.3 02.6 65 55.8 33.4 25 1o7.2 64.3 85 1I58.7 95.I 45 2Io. I 26.o 6 o5. I o3.. I 66 56.6 33.9 26 Io8. i 64.8 861 I 59.5 95.6 46 2II.o I 26.5 7 o6.0 o3.6 67 57.5 34.4 27 Io8.9 65.3 87 I6o.4 96.1 47 211.9 I 27.o 8 o6.9 o4. I 68 58.3 35.o 28I og.8 65.8 88 i6i.3 96.7 48 2I2.7 I27.5 9 o7.7 o4.6 69 59.2 35.5 29 iIo.6 66.3 89 I62. I 97.2 49 2I3.6 I28.o Iolo8.6 05.1 70 60.o 36.o 30 Iii.5 66.8 90 i63.0 97-7 50 2I4.4 128.5 1I -.4 5.7 7 60.9 36.5 i3 I I2.4 67.3 ii i63.8 98.2 25I 2I5.3 I29.0 12 io.3 o6.2 72 6I.8 37.0 32 2II3.2 67-9 92 I64.7 98.7 52 216.1 I29.6 I3 11.2 0o6.7 73 62.6 37.5 33 114. 68.4 93 I65.5 99.2 53 2I7.0o 3o.i 14 12.0 o7.2 74 63.5 38.o 34 1 4.9 68.9 94 i66.4 99.7 54 2I7.9 I3o.6 i 5 12.9 07.7 75 64.3 38.6 35 15.8 69.4 95 167.3 00oo.3 55 2I8.7 131.1 I6 13.7 o8.2 76 65.2 39. I 36 116.7 69.9 96 i68. i oo.8 56 219.6 I3i.6 17 I4.6 o8.7 77 66.0 39.6 37 1 7.5 70.4 97 I6g.o0 io.3 57 220.4 I32.1 i8 I5.4 09.3 78 66.9 4o.i 38 I I8.4 70.9 98 I69.8 Jio.8 58 221.3 132.6 i9 i6.3 09.8 79 67.8 4o.6 39 119.2 71.5 99 I70.7 I02.3 59 222.2 I33.2 20 17.2 10.3 8o 68.6 4,., 4 I20.I 72.o0 200 I7I.5 102.8 6o 223.0 133.7 2I 8.0-io.8 8I 69.5 4.6 I4 1I20.9 72.5 201 I72.4 I03.3 26I223.9 134.2 22 I8.9 11.3 82 70.3 42.2 42 I 2I.8 73.o 02 173.3 Io3.8 62 224.7 I34.7 23 I 9.7 ii.8 83 71.2 42.7 43 122.7 73.5 o3 174.1 Io4.4 63 225.6 135.2 24 20.6 1 2.3 84 72.0 43.2 44 I23.5 74-o o4 175.o I04.9 64 226.4 135.7 25 21.4 12.9 85 72.9 43.7 45 124.4 74.5 o5 I75.8 io5.4 65 227.3 I 36.2 26 22.3 i3.4 86 73.8 44.2 46 I25.2 75.1 o6 I76.7 I05.9 66 228.2 I36.8 27 23.2 I3.9 87 74.6 44.7 47 I 26.1 75.6 07 177.5 o6.4 67 229.0 I37.3 28 24.o I4.4 88 75.5 45.2 48 126.9 76. o8 178.4 1o6.9 68 229.9 137.8 29 24.9 14.9 89 76.3 45.8 49 I27.8 76.6 o09 I79.3 I07.4 69 230.7 I38.3 30 25.7, I5.4 90 77.2 46.3 5o I28.7 77. I I 80o. i io8.ol 70 23I.6 i38.8 3I 26.6 I5.9 91 78. 1 46.8 I I29.5 77.6 2I I i8io I08.5 271.232.4 139.3 32 27.4 I6.5 92 78.9 47.3 52 3o0.4 78.I I2 I8I.8 I09g.0 72 233.3 13g.8 33 28.3 I7.0 93 79.8 47.8 53 131,.2 78.7 I3 I82.7 109.5 73 234.2 140.4 34 29.2 I7.5 94 8o.6 48.3 54 I32. I 79.2 I4 i83.6 110.0 74 235.o 140.9 35 30o.0 8.o 95 8i.5 48.8 55 I32.9 79.7 i5 I84.4 I o.5 75 235.9 14I.4 36 30.9 i8.5 96 82.3 49.4 56 i33.8 80.2 16 i85.3 III.o 76 236.7 I4I1.9 37 3.7 19.0o 97 83.2 49.9 57 1 34.7 80.7 1I7 i86.i I I.6 77 237.6 142.4 38 32.6 I9.5 98 84.I 5o.4 58 135.5 8I.2 I8 l87.0 I 2.1 78 238.4 142.9 39 33.5 20. I 99 84.9 50o.9 59 36.4 8I.7 19 I87.8 112.6 79 239.3 I43.4 40 34.3 20.6 100 85.8 5 I.4 6o 137.2 82.3 20 I88.7 i 3.i 80 240.2 143.9 4I -5.2 2I1I ioi 86.6 5i.9 i6i i38.I 82.8 22I I89.6 ii3.6 281 24I.0 44-.5 42 36.o 2.6 02 87.5 52.4 62 139.0 83.3 22 190.4 114.1 82 241.9 145.o 43 36.9 22.I o31 88.3 53.o 63 I39.8 83.8 23 19g.3 II4.6 83 242.7 I45.5 44 37 7 22.6 o4 89.2 53.5 64 I40.7 84.3 24 I92. I 15.2 84 243.6 I46.o 45 38.6 23. I o5 90. 54.o 65 I4i.5 84.8 25 I93.o II5.7 85 244.5 I/46.5 46 39.5 23.6 o6 90go.9 54.5 66 142.4 85.3 26 193.8 1I6.2 86 245.3 I47-0 47 40.3 24.2I 07 9I.8 55.o 67 143.2 85.9 27 194 7 1I6.7 87 246.2 I47.5 48 41.2 24-7 o8 92.6 55.5 68 I44.I 86.4 28 I95.6 117.2 88 247.0 I48.I 49 42.0 25.2 o9 93.5 56.o 69 I45.o 86.9 29 196.4 117.77 89 247.9 i48.6 50 42.9 25.7 IO 94.4 56.6 70 i45.8 87.4 3o I97.3 II8.2 90~ 248.7 I'49. 5I -43.7 26.2 III 95.2I 9S i7.1I 171 i46-7 879 23I I98. II8.8 29I 249.6 I49.6 52 44.6 26.7 12 96.1 57.6 72 I47.5 88.4 32 199.0 II9.3 92 250.5 I50.i 53 45.5 27.2 i3 96.9 58.I 73 I48.4 88.9 33 I99.9 II9.8 93 25S.3 I5o.6 54 46.3 27.8 14 97.8 58.6 74 I49.189.5 34 200.7 20o.3 94 252.2 I5I.I 55 47.2 28.3 15 98.6 59.1 75 i5o.i 90.0 35 20I.6 I20.8 95 253.o I5I.7 56 48.o 28.8 6 99.5 59.6 76 I5I.o 9o.5 36 202.4 121.3 96 253.9 T52.2 57 48.9 29.3 17 I00.4 60.2 77 i5i.8 9I.o 37 203.3 I2I.8 97 254.7 I52.7 58 49.7 29.8 I8 1IOI.2 60.7 78 I52.7 9I.5 38 204.I I22.4 98 255.6 I53.2 59 So.6 30.3 19 I02.I 6I.2 79 153.5 92.0 39 205.0 I22.9 99 256.5 I53.7 60 5i.5 3o.8 20 102.9 6I.7 8o0 54.4 92.5 4 205.9 123.4 3oo00 257.3 54.2 Dist, I Dep. Lat. Dist ep. Lat. Dist. ep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. N.E.byE.AE. S.E.byE.JE. N.W.byW.AW. S.W.hyW.JW. [For 5J Points. Page 12] TABLE I. Difference of Latitude and Departure for 3 Points. N.E.byN. N.W.byN. S.E.byS. S.W.byS. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep I- o8 oo.8 oo6 6I 50.7 33.9 I Ioo.6 67.2 I8I I50.5 ioo.6 24I 200.4 133.9 2 O 1.7 01. 62 51.6 34.4 22 IOI.4! 67.8 82 i5I.3 IoI.I 42 201.2 I34.4 3 02.5 01.7 63 52.4 35.0 23 io2.3 68.3 83 152.2 101.7 43 202.0 I35.0 4 o3.3 02.2 64 53.2 35.6 24 io3.I 68.9 84 i53.0o 102.2 44 202.9 I356 5 04.2 02.8 65 54.o 36. I 25 1o3.9 69.4 85 I53.8 I02.8 45 203.7 I36.i 6 o5.o o3.3 66 54.9 36.7 26 Io4.8 70.0 86 I54.7 IO3.3 46 204.5 I36.7 7 o5.8 03.9 67 55.7 37.2 27 Io5.6 70.6 87 I55.5 103.9 47 205.4 I37.2 8 o6.7 o4.4 68 56.5 37.8 28 Io6.4 71.I 88 I56.3 Io4.4 48 206.2 137.8 9 07.5 o5.o 69 57.4 38.3 29 I07.3 71.7 89 I57.1 Io5.o 49 207.0 I38.3 Io 08.3 o5.6 70 58.2 38.9 30 Io8.I 72.2 90 I58.o I o5.6 50 207.9 138.9 II og. o6. 71 59.0 39.4 13 108.9 72.8 I9i I58.8 106.i 251 208.7 139.4 1[2 1o.0 06.7 72.59.9 40.0 32 109.8 73.3 92 I59.6 106.7 52 209.5 i4o.o 13 Io.8 07.2 73 60.7 4o.6 33 iio.6 73.9 93 I6. 5 107.2 53 210.4 140.6 14 ii.6 07.8 74 6i.5 4I.I 34 1I I.4 74.4 94 i6i.3 107.8 54 211.2 I41.I 15 12.5 o8.3 75 62.4 41.7 35 112.2 75.0 95 162.I Io8.3 55 212.O I4I.7 16 13.3 o8.9 76 63.2 42.2 36 113.I 75.6 96 I63.o I08.9 56 2I2.9 I42.2 17 14. I o9.4 77 64.o 42.8 37 II3.9 76.1 97 I63.8 o09.4 57 213.7 I42.8 I8 I5.o Io.o 78 64.9 43.3 38 II4.7 76.7 98 I64.6 10o.o 58 2I4.5 143.3 I19 i5.8 io.6 79 65.7 43.9 39 I15.6 77.2 99 I65.5 IIO.6 59 215.4 143.9:2o i6.6 ii.i 8o 66.5 44.4 4o II6.4 77.8 2oo i66.3 III.I 60 216.2 I44.4 21 17.5 11.7 8i 67.3 45. I41 117.2 78.3 201 167.1 III.7 261 217.0 I45.0 22 I8.3 12.2 82 68.2 45.6 42 ii8.I 78.9 02 i68.o 1I I2.2 62 217.8 145.6 23 I9. I 12.8 83 69.0 46.I 43 1I8.9 79.4 o3 I68.8 II2.8 63 2I8.7 146.1 24 20.0 13.3 84 69.8 46.7 44 I19.7 80.o o4 I69.6 113.3 64 219.5 146.7 25 20.8 I3.9 85 70.7 47.2 45 I 20.6 8o.6 o5 I70.5 113.9 65 220.3 1I47.2 26 21.6 I4.4 86 71.5 47.8 46 121.4 8.i. o6 171.3 I I44 66 22I.2 147.8 27 22.4 15.o 87 72.3 48.3 47 122.2 81.7 07 I72.1 i i5.o 67 222.0 I48.3 28 23.3 i5.6 88 73.2 48.9 48 I23.1 82.2 o8 172.9 I5.6 68 222.8 148.9 29 24.1 i6. 89 74.0 49-4 49 123.9 82.8 09 I73.8 ii6.I 69 223.7 I49.4 30 24.9 16.7 90 74.8 50.o 50 I24.7 83.3 Io I74.6 116.7 70 224.5 I5o.o 3i 25.8 I7.2 9I 75.7 50.6 151I I25.6 83.9 211 175.4 II7.2 271 225.3 I5o.6 32 26.6 17.8 92 76.5 5I.1 52 126.4 84.4 12 176.3 I I7.8 72 226.2 151.1 33 27.4 i8.3 93 77.3 51.7 53 127.2 85.o i3 I77.I I18.3 73 227.0 I51.7 34 28.3 18.9 94 78.2 52.2 54 I28.o 85.6 I4 177.9 118.9 74 227.8 152.2 35 29.1'9.4 95 79.o 52.8 55 128.9 86.i i5 178.8 I9g.4 75 228.7 152.8 36 29.9 20.0 96 79.8 53.3 56 129.7 86.7 i6 I79.6 120.0 76 229.5 153.3 37 3o.8 20.6 97 8o.7 53.9 57 i3o.5 87.2 17 i8o.4 120.6 77 230.3 153.9 38 3i.6 21. I 98 8I.5 54.4 58 i31.4 87.8 i8 I8I.3 I21.I 78 23I.I I54.4 39 32.4 21.7 99 82.3 55.o 59 132.2 88.3 19 182. I 2I.7 79 232.0 I55.o 40 33.3 22.2 Ioo 83.1 55.6 60 I33.o 88.9 20 i82.9 122.2 80 232.8 i55.6 4 34.. 22.8 Io1 84.o 56.I I6I 133.9 89.4 22I I83.8 I22.8 281 233.6 I56.i 42 34.9? 23.3 02 84.8 56.7 62 1 34.7 90.0 22 i84.6 123.3 82 234.5 I 56.7 43 35.8 23.9 o3 85.6 57.2 63 i35.5 90.6 23 i85.4 1 23.9 83 235.3 [57.2 44 36.6 24.4 o4 86.5 57.8 64 i 36.4 91.1 24 I86.2 124.4 84 236.I I 57 8 45 37.4 25.0 05 87.3 58.3 65 i37.2 91.7 25 187.1 125.o 85 237.0 158.3 46 38.2 25.6 o6 88.i 58.9 66 I38.o 92.2 26 187.9 125.6 86 237.8 I58.9 47 39. I 26. 07 89.0 59.4 67 138.9 92.8 27 188.7 I26.I 87 238.6 I59.4 48 39.9 26.7 o8 89.8 60.0 68 I39.7 93.3 28 I89.6 126.7 88 239.5 I6o.o 49 40.7 27.2 o9 9o.6 60.6 69 i4o.5 93.9 29 I90.4 127.2 89 240.3 i6o.6 50o 4.6 27.8 10 91.5 61.1 70 I4i.3 94.4 30 191.2 127.8 90 241.1 i6i.i 5I 42.4 28.3 I I I 92.3 61.7 I71 42.2 95.0 231 192.1 128.3 291 242.0 161.7 52 43.2 28.9 12 93.I 62.2 72 I43.o 95.6 32 92.9 1I28.9 92 242.8 162.2 53 44. 29.4 i3 94.o 62.8 73 i43.8 96.1 33 i93.7 I29.4 93 243.6 162.8 54 44.9 30o.o 4 94.8 63.3 74 I44.7 96.7 34 I94.6 I30.o 94 244.5 I63.3 55 45.7 3o.6 I5 95.6 63.9 75 I45.5 97.2 35 I95.4 i3o.6 95 245.3 163.9 56 46.6 3I.I i6 I96.5 64.4 76 146.3 97.8 36 I96.2 I3I.I 96 246.1 I64.4 57 47.4 31.7 17 97.3 65.o 77 147.2 98.3 37 197.1 131.7 97 246.9 I65.o 58 48.2 32.2 i8 98.1 65.6 78 I48.o 98.9 38 197.9 132.2 98 247.8 i65.6 59 49. I32.8 I9 98.9 66.I 79 I48.8 99.4 39 I98.7 132.8 99 248.6 I66. 60 49.9 33.3 20 99.8 66.7 8o I49.7 100.0 4o 199.6 I 33.3 300 249.4 166.7 Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist.| Dep. Lat. Dist.' Dep. Lat. Dist. De N.E.byE. S.E.byE. N.W.byW. S.W.byW. [For 5 Points. TABLE I. Page 13 Difference of Latitude and Departure for 3; Points. N.E.JN. N.W.JN. S.E.JS. S.W.4aS. Dist. Lat. Dep, iDist. Lat. Dep. Dis Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. 00.8 oo.6 6i 49.0 36.3 I I 9 — 7.2 72. I8 I45.4 078 241 -I93.6 i43.6 2 oi.6 O1I.2 62 49.8 36.9 22 98.0 72.7 82 I46.2 i o8.4 42 I194.4 I44.2 3 o02.4 oi. 63 5o.6 37.5 23 98.8 73.3 83 I47.0 IO9.0o 43 I 95.2 I44.8 4 o3. 2 02.4 64 5i.4 38.i 24 99.6 73.9 84 I47.8 Io9.6 44 196.o i45.4 5 o4.o o3.o 65 52.2 38.7 25 Ioo.4 74.5 85 i48.6 I1O.2 45 I 96.8 i45.9 6 o4.8 o3.6 66 53.o 39.3 26 IOI.2 75.I 86 I49.4 Iio.8 46 197.6 i46.5 7 o5.6 o4.2 67 53.8 39.9 27 102.0 75.7 87 I50o.2 I I I.4 47 I 98.4 I47.1 8 o6.4 o4.8 68 54.6 4o.5 28 102.8 76.2 88 i5i.o II2.0 48 199.2 I47.7 9 07.2 o5.4 69 55.4 4.I 1 29 i0o3.6 76.8 89 i5i.8 I I2.6 49 200.0 i48.3 IO o8.o o6.o 70 56.2 41.7 3o Io4.4 77.4 9o1 I 52.6 II 3.2 5o 200.8 I48.9 I 8.8'I o6.6 71 57i 42.3 I3 105.2 78.o I91I 53.4 II3.8 251 20i.6 249.5 12 og9.6 0o7.1 72 57.8 42.9 32 I o6.o 78.6 92 I54.2 I I4.4 52 202.4 I50.1 I 3 IO.4 07.7 73 58.6 43.5 33 Io6.8 79.2 93 i55.o ii5.o 53 203.2 I 50.7 14 1.2 o8.3 74 59.4 44.I 34 I07.6 79.8 94 i55.8 II5.6 54 204.-o I5I.3 5 I2 2.o o8.. 75 6o.2 44.7 35 io8.4 8(.4 95 I56.6 I I6.2 55 204.8 I51.9 i6 I2.9 o9.5 76 6i.o 45.3 36 109.2 8i.o 96 5' 4 I i6.8 56 205.6 I 52.5 17 13.7 IO.1 77 6i.8 45.9 37 1Io.o 8i.6 97 1I58.2 I1I7.4 57 206.4 i53.Il I8 i4.5 10.7 78 62.7 46.5 38 iio.8 82.2 98 I59.0 I I7.9 58 207.2 I53.7 I9 I5.3 II.3 79 63.5 47"i 39 iii.6 82.8 99 I5g.8 II8.5 59 208.0 I54.3 20 I6. I iI.9 8o 64.3 47.7 4o0 II2.4 83.4 200 i 6o.6 I 19.i 6o o8.8 I 54.9 2I I6.9 -I 2 5 8I 65. I 48.3 4 3.3 I 84.o 201 i6i.4 I 19-7 26I 209.6 I55.5 22 I7.7 I3. I 82 65.9 48.8 42 1I4.I 84.6 02 I62.2 I20.3 62 210.4 i56.i 23 i8.5 13.7 83 66.7 49.4 43 1 4.9 85.2 o3 i63. I I20.9 63 2 1.2 156.7 24 I9.3 i4.3 84 67.5 5o.o 44 ii5.7 85.8 o4 I63.9 12I.5 64 212.0 I57.3 25 20. I 4.9 85 68.3 5o.6 45 I I6.5 86.4 o5 I64.-7 I22.I 65 212.8 I 57.9 26 20.9 I 5.5 86 69. I 5 I.2 46 117.3 87.o0 o6 i65.5 I22.7 66 213.7 I 58.5 27 2.7 1i6. I 87 69.9 5i.8 47 Ii8. I 87.6 o07 i66.3 I23.3 67 214.5 I59.I 28 22.5 I6.7 88 70.7 52.4 48 I I8.9 88.2 o8 I67.1 I 23.9 68 215.3 I59.6 29 23.3 I7.3 89 71.5 53.o 49 I I9.7 88.8 o9 I67.9 124.5 69 2I6. I I60.2 30 24.1 I 7.9 90 72.3 53.6 5o 120.5 89.4 Io I68.7 125.1 70 2I6.9 i6o.8 3I 24.9 i8.5 91 73.1 54.2 i5I I21.3 90.0 2I I i6g.5 I25.7 271 217.7 i6I.4 32 25.7 19. I 92 73.9 54.8 52 122.1 90.5 I2 I70.3 I26.3 72 218.5 162.0 33 26.5 19.7 93 747 55.4 53 I22.9 9gI. I 3 17I.I I26.9 73 2Ig9.3 162.6 34 27.3 20.3 94 75.5 56.o 54 123.7 91.7 14 I7I.9 I27.5 74 220. I I63.2 35 28. I 20.8 95 76.3 56.6 55 I124.5 92.3 I 5 I 72.7 I28.I 75 220.9 I63.8 36 28.9 2I.4 96 77 I 57.2 56 I 25.3 92.9 I6 173.5 I 28.7 76 221.7 I64N4 37 29. 7 22.0 97 77.9 57.8 57 I 26. I 93.5 17 I74.3 2 29.3 77 222.5 I 65.o 38 3o. 5 22.6 98 78.7 58.4 58 1 26.9 94. I I 8 I 75. I 1929.9 78 223.3 i65.6 39 3r.3 23.2 99 79.5 59.o 59 1 27.7 94.7 I9 175.9 i3o.5 79 224.1 i66.2 4o 32.i 23.8 ioo 8o. 3 59.6 6o I 28.5 95.3 20 176.7 13I.I 80 224.9 I66.8 41 3.9. 24.4 IOI 8i. I 60.2 I6I I29.3 95.9 221 177.5 I3J.6 281 225.7 I67.4 42 33.7 25. o 02 8I.9 6o.8 62 i3o. I 96.5 22 278.3 I32.2 82 226.5 i68.o 43 34.5 25.6 o3 82.7 6I.4 63 I30.9 97-I 23 179. I 132.8 83 227.3 i68.6 44 35.3 26.2 04 83.5 62.o 64 I31.7 97-7 24 I79.9 I33.4 84 228. I I6g.2 0 45 36 I 26.8 o5 84.3 62.5 65 i32.5 98.3 25 I80.7 I34.o 85 228..9 169.8 46 36 9 27:4 o6 85.I 63.I 66 i33.3 98.9 26 i8I.5 I34.6 86 229.7 I70.4 47 37.8 28.o 07 85.9 63.7 67 i34. I 99.5 27 182.3 I35.2 87 230.5 17I.0 48 38.6 28.6 o8 86.7 64.3 68 I34-9 I00.1 28 i83. I i35.8 88 231.3 171.6 49 39.4 29.2 og 87.5 64.9 69 I35.7 IOO.7 29 i83.9 I 36.4 89 232.2 I72.2 50 40.2 29.8 IO 88.4 65.5 70 I36.5 ioi.3 3o I84.7 I37.0 90 232.9 I72.8 5i 4i.O 3o.4 III 89.2 66.I 17I I37.3 ioi.9 23I i85.5 I37.6 291 233.7 273.3 52 4i.8 31.0 I2 go.o 66.7 72 I38.2 I02.5 32 I86.3 I38.2 92 234.5 173.9 53 42.6 3i.6 I3 90.8 67.3. 73 I39.0 io3.i 33 i87.I I38.8 93 235.3 I74.5 54 43.4 32.2 I4 9I.6 67.9 74 I39.8 IO3.7 34 i88.o I39.4 94 236.I I75.I 55 44.2 32.8 I5 92.4 68. 75 14o.6 I04.2 35 i88.8 I4o.o 95 236.9 175.7 56 45.o 33.4 I6 93.2 69.1 76 I4I.4 Io4.8 36 I89.6 I4o.6 96 237.7 176.3 57 45.8 34.o I7 94.0 69-7 77 I42.2 io5.4 37 I90.4 I4I.2 97 238.6 176.9 58 46.6 34.6 I8 94.8 70.3 78 I43.o io6.o 38 I9I.2 I4I.8 98 239.4 177.5 59 47.4 35. I I9 95.6 70.9 79 I43.8 I o6.6 39 192.0 I42.4 99 240 2 I78.I 6o 48.2 35.7 20 96.4 71.5 8o i44.6 107.2 40 I92.8 i43.o 300 241.0 178.7 Dist. Dep. I Lat. Dist. Dep. Lat. Dist.l Dep. Lat. Dist. Dep. bLat. Dist., Dep. Lat. N.E.1E. S.E.E. N.W.4W. S.W.jW. [For 41 Points. TPage 141 TABLE I. Difference of Latitude and Departure for 31 Points. N.E.,N. N.W.JN. S.E.4S. S.W.AS. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. ist. Lat, L. I oo.8 0oo0.6 6 I 47.2 38.7 I2I 93.5 76.8 i8i 139.9 I4.8 24I I86.3 I15x.9 2 oi.5 oi.3 62 47.9 39.3 22 94.3: 77.4 82 40.7 11 5.5 42 I87.1 I 53. 3 o02.3 OI. 63 48.7 40.0 23 95.I 78.0 83 I4I.5 II6.I 43 I87.8 I54.2 4 o3. I 02.?5 64 49.5 4o.6 24 95.9 78.7 84 142.2 1I 6.7 44 I88.6 I54.8 5 o3.9 o3.2 65 50.2 41.2 25 96.6 79.3 85 I43. o I17.4 45 i 89.4 I 55.4 6 o4.6 o3.8 66 5I.o 41.9 926 97 4 79.9 86 I43.8 ii8.o 46 190.2 I56.I 7 05.4 04.4 67 51.8 42.5 27 98.2 80.6 87 I44.6 1x8.6 47 I90.9 I 56.7 8 o6. 2 o5.I 68 52.6 43.1 28 98.9 81.2 88 I45.3 II9.3 48 I191.7 I57.3 9 07.0 o5.7 69 53.3 43.8 29 99.7 8.8 89 I46.I I I.9 49 192.5 I 58.o Io 07 7 o6.3 70 54. I 44.4 30 Ioo.5 82.5 90 146.9 I 20.5 50 I93.3 I58.6 II o8.5 07.0 71 54.9 45.o i3i ioi.3 83.I I91 I47.6 12I.2 251I194.0 I59.2 1 09.3 07.6 72 55.7 45.7 32 102.0 83.7 92 I'8.4 I2I.8 52 194.8 159.9 13 io0. o8.2 73 56.4 46.3 33 102.8 84.4 93 I49.2 122.4 53 i95.6 I6o.5 I4 io.8 o8.9 74 57.2 46.9 34 io3.6 85.o 94 i5o.o 123.I 54 i96.3 I6i.i I5 I.6 09.5 75 58.o 47.6 35 Io4-4 85.6 95 I50.7 123.7 55 197.1 I6I.8 I6 12.4 10.2 76 58.7 48.2 36 io5.I 86.3 96 i5i.5 124.3 56 I 97.9 I 62.4 I7 I3.I IO.8 77 59.5 48.8 37 I05.9 86.9 97 I52.3 I25.0 57 I98.7 I63.o I8 I3.9 I1.4 78 60.3 49.5 38 io6.7 87.5 98 I53. I 125.6 58 I99.4 I63.7 I9 I4-7 12.1I 79 6i.I 50.I 39 I07.4 88.2 99 I53.8 I26.2 59 200.2 I64.3 20 15.5 I2.7 80 6i.8 5o.8 40 108.2 88.8 200 I 54.6 I 26.9 60 201.0 I64.9 21 16.2 I3.3 81 62.6 51.4 4 I og9.o 89.4 201 I55.4 I27.5 261 20I.8 I65.6 22 17.0 I4.o 82 63.4 52.o 42 109.8 90.1 02 i56.I 128.1 62 202.5 I66.2 23 17.8 I 4.6 83 64.2 52.7 43 IiO.5 90.7 o3 I56.9 1I28.8 63 203.3 I66.8 24 I 8.6 I5.2 84 64.9 53.3 44 III.3 91.4 o4 I 57.7 I 29.4 64 204.I I 67.5 2 5 19.3 I 5.9 85 65.7 53.9 45 I 12. I 92.0 o5 58.5 I30.1 65 204.8 I68.I 26 20o.I 6.5 86 66.5 54.6 46 1I 2.9 92.6 o6 159.2 130.7 66 205.6 I68.7 27.20.9 17.I 87 67.3 55.2 47 I 3.6 93.3 07 i6o.o I3I.3 67 206.4 I69.4 28 2I.6 I 7.8 88 68.0o 55.8 48 I I4.4 93.9 o8 i6o.8 I32.o 68 207.2 I70.0 29 22.4 i8.4 89 68.8 56.5 49 I I 5.2 94.5 09 i6i.6 I32.6 69 2077.9 170.7 30 23.2 19.0 90o 69.6 57.I 50 I 6.o 95.2 Io I62.3 I33.2 70 208.7 I 71.3 3I 24.0 I9-7 91 70.3 57-7 I5I II6.7 95.8 2II I63.I 133.9 27I 209.5 171.9 32 24.7 20o.3 92 7.I 58.4 52 II7.5 96.4 I2 I63.9 I34.5 72 2I.3 I72.63 33 25.5 20.9 93 71.9 59.0 53 I I8.3 97-I I3 164.7 i35.1 73 21I.0 I73.2 34 26.3 2I. 6 94 72. 7 59.6 54 I19.o0 97.7 I4 I65.4 I35.8 74 211.8 173.8 35 27.I 22.2 95 73.4 60.3 55 119.8 98.3 I5 I66.2 I36.4 75 212.6 I74.5 36 27.8 22.8 96 74.2 6o.9 56 I20.6 99.0 I6 167.0 I37.0 76 2I3.4 I75.1 37 28.6 23.5 97 75.0 6i.5 57 1I2I.4 99.6 17 167.7 137.7 77 2I4.X I75.7 38 29.4 24.1I 98 75.8 62.2 58 I22.I 100.2 i8 i68.5 I38.3 78 214.9 176.4 39 3o. 24.7 99 76.5 62.8 59 I22.9 100oo.9 I9 69.3 I38.9 79 2I5.7 177.0 40 30.9 25.4 100 77.3 63.4 60 123.7 IOI.5 20 I70.1 I 3g.6 80 216.4 I 77.6 4I 3I. 26.0 IOI 78. I 64.I i6i I24.5 io2.I 22I 170.8 140.2 28I 217.2 1I78.3 42 32.5 26.6 02 78.8 64.7 62 125.2 Io02.8 22 171.6 i4o.8 82 2I8.o 178.9 43 33.2 27.3 03 79.6 65.3 63 I 26.o Io3.4 23 172.4 141.5 83 218.8 I79.5 44 34.o 27.9 04 8o.4 66.o 64 126.8 Io4.o 24 I73.2 I42.I 84 2I9.5 I80.2 45 34.8 928.5 o5 8I.2 66.6 65 127.5 I o4.7 25 I73.9 I42.7 85 220.3 I8o.8 46 35.6 29.2 o6 18.9 67.2 66 128.3 Io5.3 26 I74.7 I43.4 86 22I. II8.4. 47 36.3 29.8 07 82.7 67- 67 I29.1 105.9 27 I75.5 I44.o 87 22.1.9 182.1 48 37.I 3o.5 o8 83.5 68.5 68 I29.9 Io6.6 28 I76.2 i44.6 88 222.6 I82.7 49 37.9 31.1 o9 84.3 69.I 69 3o.6 Io07.2 29 I77.0 I45.3 89 223.4 I83.3 50 38.7 31.7 o 85. o 69.8 70 I3i.4 Io7.8 30 177.8 i45.9 9~ 224.2 I84.o I 39.4 32.4 II 85.8 704 — I7I I32.2 Io8.5 23 I78.6 I46.5 291 224.9 I84.6 52 40.2 33.0 I2 86.6 71.1 72 i33.o Io9.I 32 I79.3 I47-2 92 225.7 185.2 53 4I.o 33.6 I3 87.4 7I.7 73 I33.7 I09.8 33 80. I 147.8 93 226.5 i85.9 54 41.7 34.3 I4 88.I 72.3 74 I34.5 I o.4 34 I8o.9 I48o4 94 227.3 I86.5 55 42.5 34.9 I5 88.9 73.0 75 135.3 1I.. o 35 I8I.7 149.I 95 228.0 I87.1I 56 43.3 35.5 i6 89.7 73.6 76 i36.o 111.7 36 I82.4 149.7 96 228.8 187.8 57 44. I 36.2 17 9o.4 74.2 77 I36.8 11.3 37 I83.2 I5o.4 97 229.6 i88.4 58 44.8 36.8 I8 91.2 74.9 78 1I37.6 112.9 38 I84.o i5I.o 98 230.4 I89.0 59 45.6 37.4 i9 992.0 753 79 I 38.4 II3.6 39 I84.7 I5I.6 99 23I.1 1897 60 46.4 38.1 20 92.8' 76.I 80 I39. I I I4.2 40 185.5 I52.3 300 231.9 I90.3 Dist. TDep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. N.E.AE. S.E.JE. N.W.jW. S.W. W. [For 4.~ Points. TABLE I. [Page 15 Difference of Latitude and Departure for 3: Points. N.E.~N. N.W.~N. S.E.tS. S.W.~S. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. I 00.7 ~007 6I 45.2 41.0 I2I 89-7 8I.3 I81 I34.I I2I.6 241 178.6 I6I.8 2 OI.5 OI.3 62 45.9 4t.6 22 90.4 8I.9 82 I34. I22.2 42 I79.3 I62.5 3 02.21 02. o 63 46.7 42.3 23 9I. I 82.6 83 I 35 96 I22.9 43 8. I I63.2 4 o3.0 o02.7 64 47*4 43.o 24 9I.9 83.3 84 I36.3 I23.6 44 I80o.8 I63. r o03.7 o3.4 65 48.2 43-7 25 92.6 83.9 85 I37.I I24.2 45 I8I 64.5 6 o4.4 o4.o 66 48.9 44.3 26 93.4 84.6 86 I37.8 I24.9 46 I82.3 I65.2 7 o5.2 04.7 67 49.6 45.o 27 94. I 85.3 87 I38.6 I25.6 47 I83.o I65.9 8 o5.9 o5.4 68 50.4 45.7 28 94.8 86.o 88 I 39.3 I 26.3 48 I83.8 I66.5 9 o6.7 o6.0 69 5I. 46.3 29 95.6 86.6 89 I40o.o I 26.9 49 I84.5 I67.2 IO 07*4 o6.7 7o 5r. 9 47.o 30 96.3 873 9o I40o.8 I27.6 50 I85.2 I67.9 11 o8.207.4 7I 52.6 477 3 97I 88. II I4.5 I28.3 251 I86.0 I68.(j 12 o08.9 o8. I 72 53.3 48.4 32 97.8 88.6 92 I42.3 I28.9 52 I86.7 I69. 2 13 og.6 o8.7 73 54.I 49-o.0 33 98.5 89.3 93 143.o I29.6 53 I87.5 I69.9 14 Io.4 9.4 74 54.8 49-7 34 993 90o.-0 94 I43.7 I 30.3 54 1I88. I70 15 II. I IO.I 75 55.6 50.4 35 Ioo.o 90.7 95 I44.5 I3I.o 55 I88.9 i7I.2 I6 II.-9 Io.7 76 56.3 5I.o 36 Ioo.8 9I.3 96' 145.2 I3I.6 56 i89.7 I7I.9 7 I2.6 II.4 77 57.I 5I.7 37 IOI.5 92.0 97 I46.0o I32.3 57 190.4 I72.6 I 8 I3.3 I 2z. I 78 57.8 52.4 38 102.3 92.7 98 I46.7 I 33.o 58 9gI.2 173.3 Ig 14. I I 2.8 79 58.5 53.I 39 103.o 93.3 99 I47.4 I33.6 59 I9I.9 I73.9 204 i.8 I 3.4 80 59.3 53.7 40 Io3.7 94.0 200 I48.2 I34.3 60 192.6 I74-.6 2I I5.6 I4.I 8I 60. o 54.4 4I IO04.5 94.7 20I I48.9 135.0 26 193.4 75.3 22 I6.3 T4.8 82 60.855.I 42 I05.2 95.4 02 I49.7 i35.7 62 I94' I I75.9 23 17.0 I 5.4 83 6I.5 55.7 43 I06.0 96.o o3 I50o4 I36.3 63 I4.9 I76.6 24 I 7.8 I 6. I 84 62.2 56.4 44 I o6.7 96.7 o4 I5I.2 I 3 7.o 64 I 95.6 I773 -85 I8.5 I6.8 85 63.0 57.I 45 I07.4 97.4 0o5 I5rI.9 I37-7 65 I9g6.4 I78.o 26 I9.3 I7. 5 86 63.7 57.8 46 Io8.2 98.0 o6 I52 I 38.3 66 97* I 78.6 27 20.0 I8. I 87 64.5 58.4 47 Io8.9 98.7 o7 I 53.4 I 39.o 67 I97.8 I 79.3 28 20.7 I8.8 88 65.2 59.I 48 109.7 99.4 o8 I54. I I39.7 68 I98.6 180.0 29 2I.5 I9.5 89 65.9 59.8 49 I Io.4 Ioo.I 09 I 54.9 I4o.4 69 I 99. 3 I 8.6 30 22.2 20. I 90 66.7 60.4 50 II. Ioo00.7 Io I55.6 I4I.o 7o 200. I I81.3 3~-~3~~~~~~~Io15 4.o 70 o8 15 -6- I5 i~i.-9 IOI.4 21l i56.3 11727I 200.8 I 3I 23.o 20.8 9 67-4 61 I I5I III.9 IOI7.4 2II I56.3 I4I*7 271 200.8 I82.0 32 23.7 2I.5 92 68.2 6I.8 52 II2.6 IO2.I 2 I57.I I42-4 72 201.5 I82.7 33 24.5 22.2 93 68.9 62.5 5 3 3.4 0 i357.8 I43. 73 202.3 I83.3 34. 25.2 22.8 94 69.6 63. I 54 I 4. I 03.4 4 I 58.6 I43. 7 74 203. o I 84.0 35 25.9 23.5 95 70.4 63.8 55 I I4.8 I ro4.r I 5 I59.3 I44.4 75 203.8 I84.7 36 26.7 24.2 96 7I.I 64.5 56 I I5.6 I04.8 I6 I60o.o 45.1 76 204.5 I85.4 37 27.4 24.8,97 71.9 65. I 57 I I6.3 Io5.4 I 7 I60o. 8 I45.7 77 2o5.2 I86.o 38 28.2 25.5 98 72.6 65.8 58 I17.I Io6.I I8 I6I.5 I46.4 78 206 o I86.7 39 28.9 26.2 99 73.4 66.5 59 II7.8 Io6.8 I9 j62.3 I47.I 79 206.7 i87.4 40 29.6 26.9 Ioo00 74I 67. 6Go I I8.6 I07. 4 20 163.o 147.7 80 207*5 I88.0 4I-30o.4 27.5 IOI 74.8| 67.8 f6I II9.3 i08. i 22I I63.8 i48.4 28T 208.2 I88.7 42 3I.1 28.2 02 75.6 68.5 62 12o.o Io8.8 22 1 64.5 I 49.I 8 2 208.9 I 89.4 43 3I.9 28. o3 76.3 69.2 63 I20.8 Iog.5 23 I65.2 j49.8 83 2o9.7 I90o.I 44 32.6 29. 04 77 I69.8 64 21.5 I IO. 24 I66.o I50o.4 84 2Io.4 I90.7 45 33.3 30. 2 o5 77.8 70.5 65 I22.3 I Io.8 25 I 66.7 I 5I.I 85 2II.2I 91.4 46 34. I 30, 06 78.5 71.2 66 I23.o I I I.5 26 I67.5 I5I. 8 86 21I.9 I92.I J47 34.8 3I.6 07 79.3 7I'. 67 I23.7 112.2 27 168.2 I52-.4 87 -2I2.7 192.7 48 35.6 32.2 08 80.0o 72. 68 24.5 1I.8 28 9 I 53.1 88 2 I 3.4 I 93.4 49 36.3 32.9 o9 80.8 73.2 69 I25.2 I I3.5 29 I69-7 I53.8 89 214.- I94.I 5 370 33.6 Io 8I.5 73. 9 70 I26.o I I4.2 30 I70.4 I54.5 90 214.9 i94.8 5I 37.8 34.2 III -82.2 745 I7 I26.7 3I4.8 23I 7.2 I55.I 29 2I5.6 95.4 -62.2 1 7 17I. 2 2i~~~~5.6 x 95.4 52 38.5 34.9 I2 83.o 75.2 72 I27.4 I I5.5 32 I7I.9 I55.8 92 2I6.4 I96.I 53 39.3 35.6 I3 83.7 75.9 73 28.2 I6.2 33 172.6 I56.5 93 2I7.I1 I96.8 54 40.0o 36.3 I4 84.5 76.6 74 I28.9 II6.9 34 173.4 I57-I 94 217.8 I97.4 55 40.8 36.9 I5 85.2 77"2 75 1297 7. I7 35 I74. I I57.8 95 2I8.6 I98.I 56 4I.5 37.6 16 86.o 779 76 i30.4 II8.2 36 I74-9 I58.5 96 2I9.3 198.8 57 42.2 861 778. 57 42.238.3 7 86.7 778.6 77 3i. I I8.9 7 I75.6 59.2 97220. 199.5 58 43.0 39.0 I8 87.4 79.2 78 I3I.9 I9.5 38 I76.3 I59.8 9228 200o. 59 43.7 39.6 I9 88.2 79.9 79 I32. I20o.2 39 I77.1 I60.5 99 22I.5 |00.8 60 44. 5 40 3 20 88.9 80.6 80 I33.4 I20.9 40 I77.8 16I.2 300 222.3 20I. Dist. Dep..Lat. Dist. Dep. Lat. Dist. Dep. Lat. IDist. Dep. Lat. Dist.L Dep. Lat. N.E.~E. S.E.iE. N.W.~W. S.W.~W. [For 4t Points. Page 16] TABLE I. Difference of Latitude and Departure for 4 Points. N.E. N.W. S.E. S.W. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. I 00.7 00.7 6i 43.I 43. I I2 85.6 85.6 i8i 128.0 128.0 24I 170.4 170.4 2 o1.4 o.4 62 43.8 43.8 22 86.3 86.3 82 128.7 I28.7 42 171.1 17I.I 3 02.I 02.I 63 44.5 44.5 23 87.o 87.0 83 I29.4 I29.4 43 171.8 171.8 4 02.8 02.8 64 45.3 45.3 24 87.7 87.7 84 I30.I I30.I 44 I72.5 I72.5 5 o3.5 o3.5 65 46.0o 46.o 25 88.4 88.4 85 I30.8 x30.8 45 I73.2 173.2 6 04.2 04.2 66 46.7 46.7 26 89. I 89.I 86 131.5 I3i.5 46 I73.9 173.9 7 o4.9 O4.9 67 47.4 47.4 27 89.8 89.8 87 I32.2 I32.2 47 I74.7 I74.7 8 05.7 o5.7 68 48.I 48.I 28 90. 5 90.5 88 I32.9 i32.9 48 175.4 175.4 9 o6.4 o6.4 69 48.8 48.8 29 91.2 9I.2.89 I33.6 I33.6 49 I76.I 176.I I0 07.1 07._1 70 49.5 49.5 30 91.9 91.9 go90 i34.4 I344 50 I76.8 I76.8 II 07.8 07.8 71 50.2 50.2 I31 92.6 92.6 191 I35.I 135.i 25I I77.5 177.5 12 o8.5 o8.5 72 50.9 50.9 32 93.3 93.3 92 I35.8 I35.8 52 178.2 178.2 I3 09.2 09.2 73 5i.6 5I.6 33 94.0 94.0 93 I36.5 I36.5 53 I78.9 178.9 14 09.9 09.9 74 52.3 52.3 34 94.8 94.8 94 137.2 I37.2 54 I79.6 179.6 I 5 IO. Io.6 75 53.o 53.0 3 5 95.5 95.5 95137.9 37.9 55 x8o.3 I8o.3 i6 ii.3 11.3 76 53.7 53.7 36 96.2 96.2 96 I38.6 i38.6 56 i8i.o i8I.o 17 12.0 I2.0 77 54.4 54.4 37 96.9'96.9 97 I39.3 139.3 57 I81.7 I81.7 I8 12.7 I2.7 78 55.2 55.2 38 97.6 97.6 98 I4o.o 40.0o 58 I82.4 182.4 I9 I3.4 I3.4 79 55.9 55.9 39 98.3 98.3 99 i4o.7 140o.7 59 I83.I i83.i 20 I4.i 14. 8 56.6 5,6.6 4o 99.0 99.0 200 I41.4 i4i.4 60 i83.8 I83.8 21 i4.8 I4.8 8I 557..3 I4i 99.7 99-7 20 1I42.I I42.1 26I I84.6 I84.6 22 I 5.6 I5.6 82 58.o 58.0o 42 Ioo.4 oo.4 02 I42.8 I42.8 62 i85.3 I85.3 23 i6.3 i6.3 83 58.7 58.7 43 1o.I1 ioI.I 03 i43.5 143.5 63 I86.o 86.0o 24 17.0 17.0 84 59.4 59.4 44 ioi.8 ioi.8 o4 I44.2 144.2 64 I86.7 I86.7 25 I7.7 17 7 85 60 I 60.I 45 102.5 102.5 o5 i45.0 I45.0 65 187.4 187-4 26I 8.4 18.4 86 60.8 60.8 46 Io3.2 Io3.2 o6 I45.7 455.7 66 I88.I i88.i 2" 19.I 19.i 87 6i.5 6i.5 47 I03.9 103.9 07 i46.4 i46.4 67 i88.8 I88.8 28 19.8 I9.8 88 62.2 62.2 48 104.7 I04.7 o8 I47.I 147.I 68 189.5 I89.5 29 20.5 20.5 89 62.9 62.9 49 Io5.4 Io5.4 09 147.8 147.8 69 190.2 I90.2 30 2I.2 21.2 90 63.6 63.6 50 io6.I Io6.i Io i48.5 i48.5 70 190.9 I90.9 3I 2.9 2I.9 9i 64.3 64.3 i5i io6.8 io6.8 2I11 49.2 49.2 27I 9I.6 19I.6 32 22.6 22.6 92 65.I 65.1 52 107.5 107.5 I2 i49.9 I49,9 72 I92.3 I92.3 33 23.3 23.3 93 65.8 65.8 53 1o8.2 Io8.2 13 I5o.6 I5o.6 73 193. o 93.0 34 24.o 24.o 94 66.5 66.5 54 o8.9 Io8.9 I4 I5I,.3 I5I.3 74 I93.7 I93.7 35 24.7 24.7 95 67.2 67.2 55 o09.6 109.6 I5 152.0 75 x94.5 I94.5 36 25.5 25.5 96 67.9 67.9 56 IIo.3 IIo.3 I6 I52.7 I52.7 76 195.2 I95.2 37 26.2 26.2 97 68 68.6 57 III1.o I II. O 7 I53.4 I53.4 77 x95.9 I95.9 38 26.9 26.9 98 69.3 69.3 58 111.7 111.7 I 8 I54.I i54.I 78 196.6 I96.6 39 27.6 27.6 99 70o.o 70.0 59 II2.4 11II2.4 19 I54.9 I54.9 79 I97.3 I97.3 40 28.3 28.3 oo1 70.7 70.7 60 Ii3.I ii3.i 2o0 i556 55.6 8o 98.0 I98.0 4' 29.0 29.0 101 71.4 71.4 i6i ii3.8 ui3.8 22i i56.3 I56.3 281 i98.7 198.7 42 29.7 29.7 02 72.I 72.I 62 I1i4.6 II4.6 22 157.0 I57.0 82 I99.4 i99.4 43 30.4 30. 4 03 72.8 72.8 63 115.3 115.3 23 I57.7 i57.7 83 200.1 2O0. I 44 3.31 3I.1 o4 73.5 73.5 64 Ii6.o Ii6.0 24 I58.4 I58.4 84 200.8 200.8 45 3i.8 3i.8 05 74.2 74.2 65 II6.7 1 6.7 25 I59.1 I59.I 85 201.5 201.5 46 32.5 32.5 o6 75.0 75.0 66 117.4 II7.4 26 I59.8 I59.8 86 202.2 202.2 47 33.2 33.2 07 75.7 75.7 67 I18.I xi8.I 27 i60.5 I6o.5 87 202.9 202.9 48 33.9 33.9 08 76.4 76.4 68 I I8.8 I 8.8 28 I6I.2 I6I.2 88 203.6 203.6 49 34.6 34.6 09 77.r 77.I 69 II9.5 1I9.5 29 I6I.9 6I.9 89 204.4 204.4 5o 35.4 35.4 Io 77.8 77.8 70 120.2 o20.2 30 I62.6 I62.6 9 205.I 205. 5i 36. I 36.i III 78.5 7785 I7I I20.9 I20.9 23i I63.3 i63.3 29' 205.8 205.8 52 36.8 36.8 2 79.2 79.2 72 121.6 121.6 32 I64.0o 64.o 92 206.5 206.5 53 37.5 37.5 I 3 9 799 79 73 122.3 122.3 33 i64.8 I64.8 93 207.2 207.2 54 38.2 38.2 I 4 8.6 8o.6 74 123.o 123.o 34 i65.5 i65.5 94 207 9 207-9 55 38.9 38.9 I 5 8i.3 8i.3 75 1 23.7 123.7 35 i66.2 66.2 95 20o8.6 208.6 56 39.6 39.6 i6 82.o 82.0 76 124.5 124.5 36 I66.9 x66.9 96 209.3 209.3 57 40.3 40.3 17 82.7 82.7 77 I25.2 I25.2 37 167.6 I67.6 97 2Io.o 2I0.0 58 4i.o I.o i8 83.4 83.4 78 125.9 125.9 38 i68.3 i68.3 98 2Io.7 2IO.7 59 41I7 *41.7 19 84. I 84. 79 126.6 126.6 39 I69.0 I69.0 99 2II.4 21.4 60 42.4 42.4 20 84.9 84.9 80 I27.3 127.3 40 I69.7 169.7 300 2I2.1 212.1 Dist. Dep. Lat. Dist. Dep. Lat. Dist.' Dep. Lat. Dist. Dep. b Lat. Dist. Dep. Lat. N.E. N.W. S.E. S.W. [For 4 Points. t~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ TABLE IL. [Page 17 Difference of Latitude and Departure for 1 Degree. Dist. Lat. Dep. Dist. Lat. Dep. IDist. Lat. Dep. Dist. Lat. Dep. Dist. Lat,' Dep. I I.o 00.0 6i 6I.o 0. 121 2I.0 02-.I 18I I8I.o 0o3.2 o241 24.0o 04.2 2 02.0 00.0 62 62.0 01.1 22 I 22.0 02. I 82 182.0 o3.2 42 242.o o4.2 3 o3.o oo.1 63 63.o I oi. 23 123.o 02. I 83 i83.o o3.2 43 243.0o o4.2 4. o4.o oo I 64 64.o O.I 241 I24.o 0o.2 84 i 84. o 03.2 44 244.o0 4.3 5 05.0 oo. 65 65.o: o01.1 25 125.o 02.2 85 I85.o 03.2 45 245.o o4.3 6- o6.o 00.I 66 66.o 01.2 26 I26.o 02.2 86 I86.o o3.2 46 246.0 o4.3 7 07.0 oo. 67 67.o0 Or.2 27 127.0 02.2 87 187.o o3.3 47 247.0 o4.3 8 o8.0o oo.i. 68 68.0o o.2 28 128.0 02.2 88 i88.o 0o33 48 248.0 o4.3 9 09.0 00.2 69 69.o 01.2 29 129.0 02.3 89 189.0 o3.3 49 249.0 o4.3 Io.o oo.0 00.2 7 70.0 oI.2 30 I30o.o 2.3 9~ 90o.o 03.3 50 250.o0 o4.4 I II.O 0oo.2 71 71.I.2 I3I I3.o 02.3 191 19I.O 03.3 25i 25I.0 o4.4 2 I2.0 00.2 72 72.0 o0 3 32 i32.0 02.3 92 I92.o 03.4 52 252.0 o4.4 13 I3.o 00.2 73 73.o o01 3 33 i33.o 0o2.3 93 93.0 o3.4 53 253.o o4.4 I4 I4.0 00.2 74 74.o OI.3 34 I34.o o2.3 94 I94.0 o3;4 54 254.0 o4.4 I-5 i5.o oo.3 75 75.0 ox.3 35 i35.o 02.4 95 195.0 o3.4 55 255.o o4.5 I6 I6.o oo.3 76 76.0 oi.3 36 i36.o 02.4 96 I96.o o3.4 56 256.o o4.5 17 I7.0 oo.3 77 77.0~ oi.3 37 137.0 02.4 97 I97.0 o3.4 57 257.0 o4.5 I8 i8.o oo.3 78 78.0 oi'.4 38 I-38.o 002.4 98 I98.o o3.5 58 258.0o o4.5 9,I9.0 oo.3 79 79.0 oI.4 39 3g.0o 02.4 99 I99.0 o3.5 59 259.0 o4.5 20 20.0 oo00.3 80 80.o oI.4 4o I40.0 02.4 200 200.0 o3.5 6o 260.0 o4.5 2I 2I1.0 oo.4 8I 8I.o OI.4 Ir4I- I4I.o 02.5 201 201.0 03.5 261 261.0 o4.6 22 22.0 oo00.4 82 82.0o oI.4 42 142.0 02.5 02 202.0 o3.5 62 262.0 o4.6 23 23.0 oo.4 83 83.o 01.4 43 I43.o0 0o2.5 03 203.0 o3.5 63 263.0o o4.6 24 24.0 00.4 84 84.o oI. 5 44 I44.o 02.5 o4 204.0 o3.6 64 264.o o4.6 25 25.o oo.4 85 85.o oi.5 45 I45.0 o2.5 o 205.0 03.6 65 265.0 o40.6 26 26.0 oo.5 86 86.o o o.5 46 i46.o 02.5 o6 2o6.0 o3.6 66 266.o o4.6 27 27.0 oo.5 87 87.0 oi. 5 47 I47.o 02.6 07 207.0 o3.6 67 267.o o4.7 28 28 oo.500. 88 88.0 oi.5 48 I48.o 02.6 o8 20o8. o3.6 68 268.0 04.7 29 29.0 00oo.5 89 89.0 oi.6 49 I49.o 02.6 09 209.o 03.6 69 269.0 04.7 30 30.o oo.5 90 90.0 oi.6 50 I50.o 02.6 10 2Io.o 03.7 70 270.0 o4.7 3I 3I.0 0oo.5 91 9I.0 oi.6 I5Ii i5i. o2.6 2II 21.0 03.7 271 27.0 o4.7 32 32.0 oo00.6 92 92.0 oi.6 52 I52.0 02.7 2 212.0 3.7 72 272.0 04.7 33 33.o oo.6 93 93.o oi.6 53 i53.o 02.7 I3 2I3.0 o3.7 73 273.o o4.8 34 34.0 oo.6 94 94.0 oi.6 54 i54.o 02.67 x4 2I40 o03.7 74 274.0o 04.8 35 35.o oo.6 95 95.0 OI.7 55 J55.0 02.7 I5 2I5.0 o3.8 75 275.o o4.8 36 36.o oo.6 96 96.0 o 0.7 56 i56.o o02.7 i6 I6.O o3.8 76 276.0 o4.8 37 37.0 oo.6 97 97.0 OI.7 57 I57.0 o02.7 I7 2I7.0 o3.8 77 277.0 o4.8 38 38.o 00.7 98 98.o 01.7 I58 i58.o 02.8 i8 2I8.o o3.8 78 278.o o4.9 39 39.o 00.7 99 99.0 I0.7 59 I59.0 o02.8 I9 29.0 o3.8 79 279.o 04.9 40 40o.o 00.7 IOO IOO1.0 017 60 I6o.o 02.8 20 220.0 o3.8 80 280.0 04.9 4I 4I.o 00.oo7 IoI IOI.0 OI.8. I6I I6Io 02.8 22I 221.0 03.9 281 28I.0 049 42 42.0 00.7 02 I02.0 oi.8 62 I62.0 o02.8 22 222.0 o03.9 82 282.0 04.9 43 43.o oo.8 03 io3.o 01.8 63 i63.o 02.8 23 223.0 03.9 83 283.0 o4.9 44 44 00oo.8 o4 io4.o I.8 64 I64.o 02.9 24 224.o 03.9 84 284.o 05.o 45 45.o oo.8 05 io5.o oi.8 65 i65.o 02.9 25 225.0 o3.9 85 285.o0 o5.o 46 46.o oo00.8 o6 io6.0 oi.8 66 I66.o 02.9 26 226.o 03.9 86 286.o o5.o 47 47o0 oo.8 07 I07.0 OI.9 67 167.0 02.9 27 227.0 04.0 87 287.0 o.o 48 48.0 oo00.8 o8 io8.o 0 1.9 68 i68.o 02.9 28 228.0 o4.o 88 288.0 0o.o 49 49.0 00.9 09 I09.0 oi.9 69169.0 2.9 299 229.0 o24.o 89 289.o o5.o 50 50.0 00.9 10 IIo.o 01.9 70 I70.0 o3.o 30 230.o o4.o 90 290o.o o5. 5I 5I.o 00.9 III III.0 01.9 171 7I1,0 03.0 23I 23I.0 o040 29I 29I.0 05.I 52 52.o 00.9 12 II2.0 02.0 72- I172.0 o3.o 32 232.0 o4.o 92 292.0 o5.I 53 53.o 00.9 i3 ii3.o 02.0 73 173.0 o 3 3.o 33 233.0 o4i 93 293.0 o5. 54 54.0 oo.9 I4 i4.o 02o.0 74 174.o 0o3. 34 234.o 0o4. 94 294.0 o5. 55 55.0 o.010 5 Ix5.o 02.0 75 175.o o3.I 35 235.o o4.I 95 295.o o5.I 56 56.0 01.o i6 io6.o 02.0 76 176.o o3.i 36 I236. 03o4. 96 296.0 05.2 57 57.0 01.O 17 117.o0 02.0 77 77 o3.i 37 37 237.0 o4. I 97 297.0 05.2 58 58.o oI.0 I8 II8.o 02o.I 78 178.0 o3.i 38 238.0 04.2 98 298.0 o5.2 59 59.0 01.0 19 119.0 02.1 79 1790 oI70 3.I 39 239.o0 04.2 99 299.0 05.2 60 60.o o. 20 1z20.0 02. 80 I8o.o o3.I 40 240.0 04.2 300 300.o 05.2 Dist. Dep. Lat. Dist. Dep. 1 Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. I Lat. [For 89 l)egrees. 3 Page 18] TABLE II. Difference of Latitude and Departure for 2 Degrees. Dist. Lat. De_. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. I OI.0 00.3 6i 6i.o 02. I 121 I20.9 o4.2 xI8i i80.9 o6.3 241 240'.9 o84 2 02.0 00. I 62 62.o 02.2 22 127.9 o4.3 82 I8I.9 o6.4 42 24I.9 o8.4 3 o3.o oo. I 63 63.o 02.2 23 I2a.9 o4.3 83 I82.9 o6.4 43 242.9 o8.5 4 o4.o oo. I 64 64.o 02.2 24 123.9 o4.3 84 x83.,9 o6.4 44 243.9 o8.5 5 oS.o oo00.2 65 65.o 02.3 25 I24.9 o4.4 85 I84.9 o6.5 45 244.9 o8 6 6 o6.o 00.2 66 66.o 02.3 26 125.9 o4.4 86 I85.9 06.5* 46 245.9 o8.6 7 07.0 oo. 2 67 670 02.3 27 I26.9 04.4 87 I86.9 o6.5 47 246.8 o8.6 8 o8.o oo.3 68 68.o 02.4 28 I27.9 o4.5 88 I87.9 o6.6 48 247.8 08.7 9 0og.o oo.3 69 69.o 02.4 29 I28.9 o4.5 89 I88.9 o6.6 49 2488 o8.7 I o Io.o oo.3 70 70.0 o02.4 30 I29.9 o4.5 go i89.9 o6.6 50 249.8 o8. 7 IIIo 11.0 4 7I 7.0 02.5 i3i I30.9 o4.6 I91 i9go.9 o6.7 251 250.8 o8.8 2 12.0 oo.4 72 72.0n 02.5 32 i3I.9 o4.6 92 I9.9 06.7 52 251.8 o8.8 I3 I3.o oo.5 73 73.o 02.5 33 I32.9 o4.6 93 192.9 o6.7 53 252.8 o8.8 14 x4.o oo.5 74 74.0 02.6 34 I33.9 04.7 94 I93.9 o6.8 54 253.8 08.9 i5 I5.0 oo.5 75 75.0 02.6 35 I34.9 04.7 95 i94.9 o6.8 55 254.8 08.9 i6 I6.0 oo 00.6 76 76.o 02.7 36 135.9 o4.7 96 I95.9 o6.8 56 255.8 08.9 17 17.0 oo.6 77 77.o 02.7 37 I36.9 o4.8 97 I96.9 o6.9 57 256.8 og09.0 I8 18.o oo.6 78 78.o 02.7 38 i37.9 o4.8 98 1979 6.9 58 257.8 09.0 19 I9.0 00oo.7 79 79.0 02.8 39 I38.9 o4.9 99 I98.9 o6.9 59 258.8 og09.0 20 20.0 00.7 80 8o.o 02. 8 4o I39.9 04.9 200 199.9 o7. 60 259.8 og9.I 21 21.0 oo.7 8i 8I.o 02.8 i4I 40.9 o4.9 201 200.9 0o7.o0 a6I 260.8 09.I 22 22.0 oo.8 82 82.0o 02.9 42 I4I.9 o5.o 02 201.9 0o7.o 62 26I.8 o9.I 23 23.0 oo.8 83 82.9 02.9 43 I42.9 o5.o 03 9202.9 o7.I 63 262.8 o09.2 24.24.o oo.8 84 83.9 02.9 44 I43.9 oS.o o4 203.9 07.I 64 263.8 09.2.5 25.0 oo.9 85 84.9 o3.o 45 I44-9 o5.I 05 204.9 07.2 65 264.8 09.2 26 26.0 00oo.9 86 85.9 03.o 46 I45.9 o5.i o6 205.9 07.2 66 265.8 og09.3 27 27.0 oo.9 87 86.9 03.0o 47 I46.9 o5.i 07 206.9 07.2 67 266.8 og09.3 28 28.0 oI.o 88 87.9 o3.i 48 147.9 05.2 o8 2079 07.3 68 267.8 og.4 29 29.0 ox.0 89 88.9 o3.I 49 I48.9 05.2 09 208.9 07.3 69 268.8 09.4 30 3o.o oI.o 90 89.9 o3.I 50 I49.9 05.2 T10 209.9 07.3 70 269.8 09.4 3I 3ia.o oI.1 91 90.9 o3.2 15I I50.9 05.3 2II 2I0.9 07.4 271 270.8 o9.5 32 32.0 O1.1 92 91.9 o03.2 52 I5I.9 o5.3 I2 211.9 07.4 72 27I.8 og09.5 33 33.o 01.2 93 92.9 03.2 53 I52.9 05.3 I3 2I2.9 07.4 73 272.8 og09.5 34 34.o 01.2 94 93.9 o3.3 54 I53.9 o5.4 4 23.9 07.5 74 273.8 og09.6 35 35.o OI.2 95 94.9 o3.3 55 I54.9 o5.4 I5 2I4.9 o7.5 75 274.8 og09.6 36 36.o oi.3 96 95.9 o3.4 56 I55.9 o5.4 i6 2I5.9 07.5 76 275.8 o9.6 37 37.0 oi.3 97 96.9 o3.4 57 I56.9 05.5 I7 216.9 o7.6 77 276.8 o9.7 38 38.o oi.3 98 97.9 o3.4 58 I57.9 05.5 i8 217.9 07.6 78 277.8 09.7 39 39.o oi.4 99 98.9 o3.5 59 I58.9 o5.5 19 2I8.9 07.6 79 278.8 09.7 4o 4o.o oi.4 0oo 9_9.9 03.5 6o I59.9 o5.6 20 2I9.9 07.7 80 279.8 9og.8 4I 4I.o Oi.4 IO Io00.9 03.5 I6i I60.9 o5.6 22I 220.9 07.7 281 280.8 09.8 42 42.0 oi.5 02 o10I.9 o3.6 62 I6I.9 05.7 22 22I.9 07.7 82 281.8 og09.8 43 43.o oi.5 03 102.9 o3.6 63 I62.9 05.7 23 222.9 07.8 83 282.8 o9.9 44 44.o oi.5 04 03.9 03.6 64 I63.9 05.7 24 223.9 o7.8 84 283.8 og.9 45 45.o o i.6 o5 io4.9 o3.7 65 I64 9 o5.8 25 224.9 07.9 85 284.8 og09 46 46.o oi.6 o6 Io05.9 03. 7 66 I65.9 o5.8 26 225.9 07.9 86 285.8 IO.0 47 47.0 oi.6 07 106.9 03.7 67 I66.9 o5.8 27 226.9 07.9 87 286.8 IO.O 48 48.o o01.7 o8 I079 o3.8 6 I67-9 o5.9 28 227.9 o8.o 88 287.8 IO.I 49 49.o o01.7 09 108.9 o3.8 69 I68.9 05.9 29 228.9 o8.o 89 288.8 IO.I 5o 50.0 o01 7 IO o109.9 o3.8 70 169.9 05.9 30 229.9 o8.o go0 289.8 I0.I 5i 5i.o oi.8 III o.9 o3.9 17 170.9 o6.o 231 23.9 o8I 291 290.8 2 52 52.0 oi.8 12 111.9 03.9 72 I71.9 o6.o 32 23I.9 o8. I 92 291.8 10.2 53 53.o ox.8 13 II2.9 o3.9 73 172.9 o6.o 33 232.9 o8.i 93 292.8 t10.2 54 54.o O019 I41 13.9 o4.o 74 173.9 o6.I 34 233.9 o8.2 94 293.8 io.3 55 55.o oI.9 I5 Ix4.9 o4.o 75 I74.9 o6., 35 234.9 o8.2 95 294.8 io3 a6 95.8 jo.3 56 56.o 02.0 i6 Io5.9 04.0 76 I75.9 o6.i 36 235.9 o8.2 96 295.8 IO 3 57 57.0 02.0 I7 116.9 o4.I 77 176.9 06.2 37 236.9 o8.3 97 296.8 io.4 58 58.o 02.0 I8 II7.9 o4.I 78 177.9 06.2 38 237.9 o8.3 0 297.8 io.4 59 59.o 02.1 x9 18.9 o4.2 79 I78.9 o6.2 39 238.9 o8.3 99 298.8 io.4 6o 60.0 02.1 20 119.9 o4.2 8o 179.9 o6.3 4o 239.9 o8.4 3oo 299.8 io.5 Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. L at. Dist. Dep. Lat. [For 88 Degrees. TABLE 11. [Page 19 Difference of Latitude and Departure for 3 Degrees. Dist.1 Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. I OI.0 00.I 6i 60.9 o03.2 12I 20.8 o6.3 I8I I80.8 09.5 241 240.7 12.6 2 02.0 00.1 62 6I.9 o3.2 22 121.8 o6.4 82 I8I.8 09.5 42 241.7 12.7 3 o3.o 00.2 63 62.9 o3.3 23 122.8 o6.4 83 I82.7 o9.6 43 242.77 I2.7 4 o4.o 00 2 64 63.9 03.3 24 I3.8 o6. 5 84 I83.7 09.6 44 243.7 I 2.8 5 o5.0 oo.3 65 64.9 03.4 25 I124.8 o6.5 85 I84.7 097 9 45 2447 1I2.8 6 6.o oo.3 66 65.9 03.5 26 I25.8 o6.6 86 I85.7 09.7 46 245.7 I2.9 7 07.0 oo. 4 67 66.9 o3.5 27 126.8 o06.6 87 I86.7 09.8 47 246.7 12.9 8 o8.o oo.4'68 67.9 o3.6 28 127.8 06.7 88 87.7 09.8 48 247.7 I3.o 9 og. 0 oo0.5 69 68.9 o3.6 29 I28.8 o6.8 89 I88.7 09.9 49 248.7 I3.o Io Io.o oo.5 70 69.9 o3.7 30 I29.8 o6.8 9o I89.7 09.9 50 249.7 I3. I I III.o 00.6 71 70. 9 03.7 13I 3o.8 o6.9 191 190.7 1.0 251 25.7 I3. I 12 I2.0 oo.6 72 7I.9 o3.8 32 i3I.8 o6.9 92 191.7 10.0 52 25I.7 13.2 I3 I3.0 00.7 73 72.9 o3.8 33 i32.8 07.O 93 I92.7 Io.I 53 252.7 I3.2 I4 I4.0 00.7 74 73.9 03.9 34 I33.8 07.0 94 193.7 10.2 54 253.7 I3.3 I5 I5.o oo.8 75 74.9 03.9 35 I34.8 07I1 95 194.7 I0.2 55 254.7 I3.3 i6 I6.o oo.8 76 75.9 o4.o 36 i35.8 07.I 96 I95.7 Io.3 56 255.6 I3.4 17 I7.0 00.9 77 76.9 04.0 37 I36.8 07.2 97 I96.7 io.3 57 256.6 13.5 8I8.0o 00.9 78 77.9 o04I 38 I37.8 07.2 98 I97.7 I0.4 58 257.6 I3.5 I9 ry.0 0I.0 79 78.9 o4.I 39 I38.8 07.3 99 I98.7 IO.4 59 258.6 I3.6 20 20.0 01.0 80 79.9 04.2 4o I39.8 07.3 200 I99.7 io.5 60 259.6 J3.6 21 21.0 OI. I 8i 80.9 04.2 I4I I4.8 07.4 20I 200.7 io.5 26I 260.6 I3.7 22 22.0 01.2 82 81.9 04.3 42 I4I.8 07.4 02 201.7 io.6 62 26I.6 13.7 23 23.o 01.2 83 82.9 o4.3 43 I42.8 07.5 o3 202.7 io.6 63 262.6 i3.8 24 o24.0 oi.3 84 83.9 o4.4 44 I43.8 07.5 o4 203.7 10.7 64 263.6 i3.8 25 25.o oi.3 85 84.9 o4.4 45 i44.8 07.6 o5 204.7 0o.7 65 264.6 o3.9 26 26.0o oI.4 86 85.9 o4.5 46 i45.8 07.6 o6 205.7 I0o.8 66 265.6 I3.9 27 27.0 oi.4 87 86.9 o4.6 47 I46.8 7.7 07o 206.7 io.8 67 266.6 I4.o 28 28.o oi.5 88 87.9 o4.6 48 147.8 07.7 o8 207.7 IO.9 68 267.6 i4.o 29 29.o oi.5 89 88.9 04.7 49 i48.8 07.8 og09 208.7 0.9 69 268.6 I4.I 30 36.o oI.6 90 89.9.047 I49.8 07.9 0O 209.7 II.0 70 269.6 I4.I 3I 3i.0o oI.6 9 90.9 04.8 I5i i5o.8 07.9 211 210.7 IIo. 271 270.6 14.2 32 32.0 OI.7 92 91.9 o4.8 52 I5I.8 o8.o 12 211.7 II.I 72 27I.6 14.2 33 33.o 01.7 93 92.9 04.9 53 I52.8 o8.o I3 212.7 I.I 73 272.6 I4.3 34 34.o oI.8 94 93.9 04.9 54 53.8 o8. I 4 213.7 ii.2 74 273.6 I4.3 35 35.o oi.8 95 94.9 o5.o 55 I54.8 o8.I i5 214.7 II.3 75 274.6 I4.4 36 36.o 0I.9 96 95.9 05.0 56 I55.8 o8.2 I6 2I5.7 I.3 76 275.6 14.4 37 36.9 I0.9 97 96.9 o5.x 57 I56.8 08.2 17 2I6.7 11.4 77 276.6 I4.5 38 37.9 02.0 98 97.9 o5. 58 157.8.3 i8 217.7 11.4 78 277.6 I4.5 39 38.9 02.0 99 98.9 o5.2 59 I58.8 o8.3 9 2I8.7 I I,.5 79 278.6 I4.6 40 39.9 02.I I00 99.9 05.2 60 I5g.8 o8.4 20 2I9.7 II.5 80 279.6 14.7 4I 40.9 02. 1IOI 100.9 05.3 I6I I60.8 o8.4 22I 220.7 ii.6 28I 2.6 6 I4.7 42 4.7 02.2 02 IOI.9 o5.3 62 i6i.8'o8.5 22 221.7 II.6 82 281 4.8 43 42.9 02.3 03 I02.9 o5.4 63 I62.8 o8.5 23 222.7 II.7 83 282.6 i4.8 44 43.9 02.3 o4 1I3.9 05.4 64 i63.8 o8.6 24 223.7 11.7 84 283.6 I4.9 45 44.9 02.4 o5 I04.9 o5.5 65 i64.8 o8.6 25 224.7 Ii.8 85 284.6 I4.9 46 45.9 o2.4 o6 I 05.9 05.5 66 i65.8 08.7 26 225.7 I.8 86 285.6 15.o 47 46.9 02.5 07 1I6.9 o5.6 67 I66.8 o8.7 27 226.7 I1I9 87 286.6 i5.o 48 47.9 02.5 o8 IO079 o5.7 68 I67.8 o8.8 28 227.7 II.9 88 287.6 I5.I 49 48.9 02.6 o i 108.9 05.7 69 I68.8 o8.8 29 228.7 12.0 89 288.6 I5.1 50 499 02.6 o 109.8 o5.8 70 I69.8 0o8.g 30 229.7 12.0 90go 289.6 5.2 5 50.9 02.7 III II.8 8 171 170.8 08.9 231 230.7 I. 291 296 15.2 52 5i.9 02.7 I2 I.8 05.9 72 171.8 109. 32 223I.7 12.I 92 291.6 i5.3 53 52.9 02.8 i3 112.8 o5.9 73 172.8 19. 33 232.7 12.2 93 292.6 I5.3 54 53.9 02.8 I4 TI3.8 o6.o 74 173.8 109. 34 233.7 I2.2 94 293.6 15.4 55 54.9 02.9 I5 zI4.8 o6.o 75 174.8 09.2 35 234.7 12.3 95 294.6 I5.4 56 55.9 02.9 I6 i5.8 06. 76 175.8 09og.2 36 235.7 12.4 96 295.6 I5.5 57 56.9 3. 17 II6.8 o6.I 77 1I76.8 109.3 37 236.7 I2.4 97 296.6 I5.5 58 57.9 o3.o I8 117.8 06.2 78 1 77.8 o09.3 38 237.7 I2.5 98 297.6 i5.6 59 58.9 o3.I 19 IM8.8 o6.2 79 I78.8 o09.4 39 238.7 12.5 99 298.6 I5.6 60 59.9 o3.1 20 1I9.8 o6.3 80 179.8 09.4 40 2397 12.6 300 299.6 i5.7 Dist. Dep. Lat. Dist. Dep. Lat. IDist. Dep. Lat. Dist.i Dep. Lat. Dist.l Dep. Lat. [For 87 Degrees. Page 20] TABLE. II. Difference of Latitude and Departure for 4 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. I 0I.0 00.1 6i 60.9 o4.3 I21 120.7 o8.4 I8i I8o.6 12.6 241 240.4 I6.8 2 02.0 00.I 62 6i.8 o4.3 22 121.7 o8.5 82 i8i.6 12.7 42 241.4 16.9 3 o3.o 00.2 63 62.8 o4.4 23 I22.7 o8.6 83 182.6 12.8 43 242.4 17.0 4 o4.0o oo.3 64 63.8 o4.5 24 I23.7 o8.6 84 I83.6 I2.8 44 243.4 17.O0 5 o5.o o00.3 65 64.8 04.5 25 124.7 08.7 85 I84.5 I2.9 45 244.4 17.1 6 o6.o oo.4 66 65.8 o4.6 26 125.7 o8.8 86 I85.5 I3.O 46 245.4 17.2 7 07.0 oo.5 67 66.8 04.7 27 126.7 o8.9 87 I86.5 i3.O 47 246.4 I7.2 8 0o8.o oo.6 68 67.8 04.7 28 I27-.7 o8.9 88 187.5 3.I 48 247.4 17.3 9 og09.o oo.6 69 68.8 o4.8 29 I28.7 09.0 89 x88.5 I3.2 49 248.4 174 IO 10.O 00.7 70 69.8 04.9 3o 129-7 o09.1 90 i89.5 I3.3 50 249.4 17.4 II iI.0 oo.8 71 70.8 o5.o i3i I30.7 09.I i9i i90.5 I3.3 251 250.4 17.5 12 I2.0 oo.8 72 71.8 o5.o 32 I3I.7 09.2 92 Ig9.5 13.4 52 251.4 17.6 13 i3.o 00.9 73 72.8 o5.I 33 I32.7 og09.3 93 I92.5 I3.5 53 252.4 I7.6 I4 I.o 01oi.0 74 73.8 o5.2 34 133.7 og09.3 94 193.5 I3.5 54 253.4 I7.7 5 I5.O OI.0 75 74.8 o5.2 35 134.7 09.4 95 I94.5 I3.6 55 254.4 17.8 i6 i6.o 01I.1 76 75.8 05.3 36 135.7 09.5 0 195.5 I3.7 56 255.4 17.9 I7 I7.0 01.2 77 76.8 o5.4 37 136.7 og09.6 97 I96.5 I3.7 57 256.4 17.9 I8 18.0 oi.3 78 77.8 05.4.38 I37.7 og.6 98 I97.5 13.8 58 257.4 I8.o 19 I9.0 Oi.3 79 78.8 o5S.5 39 138.7 09.7 99 I98.5 I3.9 59 258.4 i8.i 20 20.0 oi.4 80 79.8 o5.6 4o 139.7 og.8 200 I99.5 14.0 6o 259.4 I8.i _i 20.9 oi.5 8i 80.8 05.7 I4i 140.7 09.8 201 200.5 i4.o 261 260.4 i8.2 22 21.9 oi.5 82 8i.8 05.7 42 141.7 09.9 02 20I.5 I4.I 62 261.4 i8.3 23 22.9 oi.6 83 82.8 o5.8 43 142.7 IO.O o3 202.5 14.2 63 262.4 i8.3 24 23.9 01.7 84 83.8 05.9 44 I43.6 1o.0 04 203.5 I4.2 64 263.4 I8.4 25 24.9 01.7 85 84.8 05.9 45 I44.6 io.. o5 204.5 14.3 65 264.4 I8.5 26 25.9. oi.8 86 85.8 o6.o 46 I45.6 Io.2 o6 205.5 14.4 66 265.4 i8.6 27 26.9 oI.9 87 86.8 o6.i 47 I46.6 io.3 o0; 206.5 I4-.4 67 266.3 i8.6 28 27.9 02.0 88 87.8 o6. I 48 147.6 io.3 o8 207.55 I4.5 68 267.3 18.7 29 28.9 02.0 89 88.8 06.2 49 i48.6 IO.4 og09 208.5 I4.6 69 268.3 i8.8 30 29.9 02.1 90 89.8 o6.3 5o I49.6 IO.5 Io 209.5'4.6 70 269.3 i8.8 3I 30.9 02.2 91 90.8 o6.3 I5i i5o.6 io.5 211 210.5 I4.7 27I 270.3 18.9 32 3r.9 02.2 92 g91.8 o6.4 52 I5i.6 lO.6 12 2II.5 14.8 72 271.3 19.0 33 32.9 02.3 93 92.8 o6.5 53 I52.6.7 I3 212.5 I4.9 73 272.3 Ig.O 34 33.9 o2.4 94 93.8 o6.6 54 i53.6 IO.7 14 2i3.5 I4.9 74 273.3 I9.I 35 34.9 02.4 95 94.8 o6.6 55 I54.6 io.8 I5 2I4.5 i5.0 75 274.3 I9.2 36 35.9 02.5 96 95.8 o6.7 56 i55.6 IO.9 I6 215.5 I5'. 76 275.3 ig19.3 95.8 o6'.7 57 x55.6iio 2.I 76.3i. 37 36.9 02.6 97 96.8 o6.8 57 I 56.6. I7 2I6.5 i5. 77 276.3 9.3 38 37.9 02.7 98 97.8 o6.8 58 I57.6 II.O i8 217.5 I5.2 78 277.3 I9.4 39 38.9 02.7 99 98.8 o6.9 59 I58.6 ii.i 19 21I8.5 I5.3 79 278.3 19.5 40 39.9 02.8 100O 99.8 07.0 6o 159.6 11.2 20 219.5 I5.3 80 279.3 19.5 4i 40.9 02.9 1OI Ioo.8 07.0 x6I I60.6 11.2 221 220.5 15.4 28I 280.3 I9.6 42 4I.9 02.9 02 ioi.8 07.1 62 i6i.6 iI.3 22 221.5 J5.5 82 281.3 I9.7 43 42.9 o3.o o3 102.7 07.2 63 I62.6 I1.4 23 222.5 I5.6 83 282.3 19.7 44 43.9 o3.'i o4 I03.7 07.3 64 i63.6 i1.4 24 223.5 i5.6 84 283.3 i9.8 45 44.9 o3.i o5 Io4.7 7. 3 65 i64.6 11.5 25 224.5 15.7 85 284.3 I9.9 46 45.9 03.2 o6 1o05.7 07.4 66 I65.6 ii.6 26 225.4 I5.8 86 285.3 20.0 47 46.9 o3.3 07 io6.7 07.5 67 I66.6 ii.6 27 226.4 I5.8 87 286.3 20.0 48 47.9 03.3 o8 107.7 07.5 68 I67.6 II.7 28 227.4 I5.9 88 287.3 2o.I og~~~~~~~~~~~~~ 888 228.43i:oo.2 49 48.9 o3.4 o I08.7 07.6 69 i68.6 ii.8 29 228.4 6.o 89 288.3 20.2 50 49.9 o3.5 10 109.7 07.7 70 I69.6 I1I.9 30 229.4 I6.o 9o 289 3 20.2 5I 50.9 o3.6 III 110.7 07-7 17I 170.6 11.9 231 230.4 I6.1: 291 290.3 20.3 52 51.9 o3.6 12 II.7 07.8 72 I71.6 12.0 32 231.4 I6.2 92 291.3 0.4 53 52.9 03.7 i3 I12.7 079 73 172.6 12.1 33 232.4 I6.3 93 292.3 20.4 54 53.9 o3.8 I4 113.7 o8.o 74 173.6 12.1 I 34 233.4 I6.3 94 293.3 20.5 55 54.9 o3.8 i5 14..7 o8.o 75 I74.6 12.2 35 234.4 I.6.4 95 294.3 20.6 56 55.9 o3.9 i6 II5.7 o8.i 76 I75.6 I2.3 36 235.4 i6.5 96 295.3 20.6 57 56.9 o4.o 17 116.7 08.2 77 I76.6 12.3 37 236.4 I6.5 97 296.3 20.7 58 57.9 04.0 I8 117.7 08.2 78 177.6 12.4 38 237.4 I6.6 98 297.3 20.8 59 58.9 4. I 19 Ii8.7 8.3 79 I78.6 i2.5 39 238.4 I6.7 99 298.3 20.9 60 59.9 04.2 20 97 8.4 8o 179.6 12.6 40 239.4 I6.7 300 299.3 20.9 0.20 119.71, 179, IDist. Dep. Lat. Dist. Dep, Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. [For 86 Degrees. TABLE II. Page 21 Difference of Latitude and Departure for 5 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. IDep. Dit. Lat. Dep. Dist,| Lat. Dep. I 01.O. OO.I 6i 60.8 o5.3 I2I 120.'5 io.5 i8i i8o.3i 15.8.& 24I 240.1 21.0 2 02.0 00.2 62 6I.8 o5.4 22 121.5 IO.6 82 I8I.3 1I5.9 42 241. I 21.1 3 o3.o oo.3 63 62.8 o5.5 23 12.2.5 10.7 83 182.3 15.9 43 242.1 21.2 4 o4.o oo.3 64 63.8 o5.6 24 123.5 io.8 84 I83.3 i6.o 44 243.1 21.3 5 o5.o oo.4 65 64.8 o05.7 25 124.5 Io.9 85 i84.3 i6.i 45 244.1 21.4 6 o6.o oo.5 66 65.7 o5.8 26 I25.5 11.0o 86 i85.3 16.2 46 245.1 21.4 7 07.0 oo.6 67 66.7 o5.8 27 126.5 II.I 87 I86.3 I6.3 47 246.1 21.5 8 o8.o 00.7 68 67.7 o5.9. 28 127.5 I11.2 88. 187.3 i6.4 48 247.1 21.6 9 og.o oo.8 69 68.7 o6.o 29 I28.5 11.2 89/ i88.3 I6.5 49 248.1 2I.7 10 1 o.o o.9 70 69.7 o6.I 30 [I2.5 11I.3 90 I89.3 I6.6 50 249.0 21.8 II 11.0 01.0 71 70-7 06.2 13i 30o.5 iI.4 191 Ig90.3 I6.6 251 250.0 2.9 I2 12.0 01.0 72 71.-7 o6.3 32 /3i.5 i.5 92 19I.3 16.7 52 251.o 22.0 I3 I3.0 OI. 73 72.7 o6.4 33 132.5 II.6 939 I92.3 i6.8 53 252.0 22.I I4 I3.9 OI.2 74 73.7 o6.4 34 i33.5 111-7 94 193.3 I6.91 54 253.0 22.1 I5 I4.9 oI.3 75 74.7 o6.5 35 1134.5 ii.8 95 194.3 17.0 55 254.0 2[2.2 i6 I5.9 oI.4 76 75.7 o6.6 36 I35.5 11.9 96. 195.3 17.1 56 255.0 22.3 17 I6.9 oI.5 77 76.7 o6.7 37 i36.5 II.9 97 I96.3 17.2 57 256.o 22.4 i8 17.-9 oI.6 78 777 o6..8 38 137.5 12.0 98 I97.2 17.3 58 257.0 22.5 9 I88.9 OI.7 79 78.7 o6.9 39 I38.5 I12.I 99 I98.2 17.3 59 258.0 22.6 20 I9.9 01o.7 80 79-7 07.0 4o I39.5 12.2 200 199.2 I7-4 6o 259.0 22.7 21 20.9 Oi.8 8i 80-.7 07.-I 1 I40.5 12.3 20I 200.2 17.5 261 260.0 22.7 22 21.9 OI.9 82 8I.7 07.1 42 I4i.5 I2/..4 02 20I1.2 17.6 62 26I.0 22.8 23 22.9 02.0 83 82.7 07.2 43 I42.5 12.5 o3 202.2 17.7 J63 262.0 22.9 24 23.9 o02. I 84 83.7 07.3 44 I43.5 I2.6 o4 2o3..2 17.8 64 263.o 23.o 25 24.9 02.2 85 84.7 07.4 45 i44.4 12.6 o5 2o4.2 17.9 65 264.0o 23.1 26 25.9 02.3 86 85.7 07.5 46 I45.4 1 2.7 o6 205.2 i8.o 66 265.0 23.2 27 26.9 o2.4 87 86.7 07.6 47 I46.4 12.8 07 206.2 i8.o 67 266.0 23.3 28 27.9 Q2.4 88 87.7 07.7 48 i47.4 12.9 o8 207.2 x8.1 68 267.o0 23.4 29 28.9 o02.5 89 88.7 o07.8 49 i48.4 i3.o 09og 208.2 8.2 69 268.0 23.4 30 29.9 02.6 go 897 07.8 50 I149.4 i3. I o 209.2 i8.3 70 26g.o 23.5 31 30.9 02.7: 91 90.7 07.9 15I i50o.4 I3.2 21 -2I10.2 i8.4 271 270.0 23.6 32 31.9 o2.8 92 91.6 o8.o 52 I51.4 13.2 12 21.2 i8.5 72 271.0 231.7 33 32.9 02.9 93 92.6 o8.I 53 I52.4 I3.3 I3 2I2.2 18.6 73 272.0 23.8 34 33.9 o3.o 94 93.6 08.2 54 i53.4 I3.4 4 2I3.2 18.7 74 273.o 23.9 35 34.9 o3. 95 94..6 o8.3 55 i54.4 3.5 15 2I4.2 I8.7 75 274.o 24.o 36 35.9 o3.I 96 95.6 o8.4 56 I55.4 i3.6 i6 215.2 I8.8 76 274.9 24.1 37 36.9 o3.2 97 96.6 o8.5 57 I56.4 13.7 17 216.2 I8.9 77 275.9 24. I 38 37.9 o3.3 98 97.6 o8.5 58 I57.4 13.8 J8 217.2 19.0 78 276.9 24.2 39 38.9 o3.4 99 98.6 o8.6 59 i58.4 13.9 9 2I8.2 9.1 I 79 277.9 24.3 40 39. o3.5 Ioo 99.6 08.7 60 159.4 I3.9 20 219.2 19.2 80 278.9 24.4 4I 40.8 o3.6 ioi ioo.6 o8.8 I6I I6o.4 14.0 221 220.2 1Ig.3 28i 279.9 24.5 42 4I.8 o3.7 02 ioi.6 o8.9 62 i6I.4 14./I 22 221.2 19.3 82 280.9 24.6 43 42.8 o3.7 o3 102.6 og.o 63 162.4 14.2 23 222.2 I9.4 83 28I.9 24.7 44 43.8 o3.8 o4 Io3.6 og.1I 64 i63.4 I 4.3 24 223.1 9.5 84 282.9 24.8 45 44.8 0o3.9 o5 I04.6 09.2 65 i64.4 I4.4 25 224.1 I19.6 85 283.9 24.8 46 45.8 o4.o o6 [Io5.6 0o9.2 66 165.4 I4.5 26 225.1 19.7 86 284.9 24.9 47 46.8 o4. I 07 Io6.6 09 3 67 i66.4 I4.6 27 226.I 19.8 87 285.9 25.o 48 47.8 o4.2 o8 1I076 9og4 68 I67.4 I4.6 28 227.1 I9.9 88 286.9 25.1 49 48.8 o4.3 09 08.6 og09.5 69 68.4 14.7 29 228.1 20.0 89 287.9 25.2 50 49.8 o4.4 IO Iog.6 og.6 70 I69.4 1I4.8 30 229.1 20.0 90 288.9 25.3 5I 5o.& o4.4 IIn IIo.6 09.7 171 170.3 14.9 231 230.1 20.I 291 289.9 25.4 52 5i.8 o4.5 12 III.6 og.8 72 171.3 I5.o 32 23I.1 20.2 92. 290.9 25.4 53 52.8 o4.6 I3 II2.6 og09.8 73 172.31 5.I 33 232. 1 20.3 93 29I.9 25.5 54 53.8 04.7 I4,iI3.6 09.9 74 173.3 15.2 34 233I o20.4 94 292.9 25.6 55 54.8 o4.8 I5 II4.6 IO.0 75 I74.3 I5.3 35 234.T 20.5 95 293.9 25.7 56 55.8 o4.9 i6 II5.6 10.I 76 175.3 i5.3 36 235.1 20.6 96 294.9 25.8 57 56.8 o.0 O 11,6.6 10.2 77 176.3 i5.4 37 236. 20.7 97 295.9 25;9 58 57.8 o5.I I8:.117.6 1.3 78 177.3 I5.5 38 237.1I 20.7 98 296.91 26.o 59 58.8 o5. rg i I8.5 Io.4 79 1 78.3 5.6 39 238.1 20o 8 99 297.9 26.I 6o 59.8 o5.2 20o 9.5 io.5 8o 179.3 iS.7 4o 239.,120.9 300 298.9 26.! Dist. Dep. Lat. Dist. Dep. i Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist.. Dep. Lat. [For 85 Degrees. Page 22] TABLE II. Difference of Latitude and Departure for 6 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat, Dep. I o0.0 00.1 6I 60.7 o6.4 121 I20.3 12.6 I8i i80.0 I8.9 24I 239.7 25.2 2 02.0 00.2 62 61.7 o6.5 22 1I2I.3. I2.8 82 i8i.o 19.0 42 240.7 25.3 3 03.0 00.3 63 62.7 o6.6 23 122.3 12.9 83 82.0 19. I 43 241.7 25.4 4 o04. 00o4 64 63.6 06.7 24 I23.3 I3.0 84 i83.o 19.2 44 242.7 25.:J 5 o5.o oo.5 65 64.6 o6.8 25 I24.3 I3. 85 I84.o 19.3 45 243.7 t5.6 6 o6.o oo.6 66 65.6 o6.9 26 125.3 13.2 86 I85.o I9.4 46 244.7 25.7 7 07.0 00.7 67 66.6 07.0 27 i26.3 I3.3 87 i86.o I9.5 47.245.6 25.8 8 o8.o oo.8 68 67.6 o07. 28 I27.3 I3.4 88 I87.0 19.7 48 246.6 925.9 9 09.0 00.9 69 68.6 07.2 29 128.3 3.5 89 i88.o I9.8 49 247.6 26.0 10 09.9 oI.o 70 69.6 07.3 30 I29.3 i3.6 9o I89.0 Ig.9 50 248.6 26. i I'I 10.9 01.1 71 70.6 07.4 I3I I3o.3 I3.7 19gI I90.0 20.0 25I 249.6 26.2 12 II.9 oi.3 72 7I.6 07.5 32 131.3 I3.8 92 Ig9.g 20. 52 250.6 26.3 13 I2.9 OI.4 73 72.6 o7.6 33 13-.3 i3.9 93 I91.9 20.2 53 25I.6 26.4 I4 13.9 ci.5 74 73.6 07.7 34 I33.3 I4.o 94 Ig2.9 20.3 54 252.6 26.6 I5 I4.9 OI.6 75 74.6 07.8 35 I34.3 i4.I. 95 I93.9 2o.4 55 253.6 26.7 I6 I5.9 OI.7 76 75.6 07.9 36 135.3`14.2 96 i94.9 20.5 56 254.6 26.8 I7 I6.9 oi.8 77 76.6 o8.o 37 136.2 i4.3 97 195.9 20.6 57 255.6 26.9 I8 17.9 OI.9 78 77.6 08.2 38 I37.2 IL.4,l 98 I96.9 20.7 58 256.6 27.0 I9 I8.9 02. 0 79 78.6 o8.3 39 138.2 I4.5 99 197.9 20.8 59 257.6 27.I 20 I9.9 02. I 80 79.6 o8.4 40 i39.2 I,.6 200 I98.9 20.9 60 258.6 27.2 2I 20.9 02.2 I 80.6 08.5 I4I I40.2 144 7 20I 199.9 21.0 26I 259.6 27.3 22 21.9 02.3 82 8I.6 o8.6 42 141.2 I4.8 02 200.9 21.I 62 260.6 27.4 23 22.9 02.4 83 82.5 08.7 43 142.2 I4.9 03 201.9 2I.2 63 26I.6 27.5 24 23,.9 02.5 84 83.5 o8.8 44 I43.2 15. o4 202.9 21.3 64 262.6 27.6 25 24.9 02.6 85 84.5 08.9 45 I44.2 15.2 o5 20o3.9 2I.4 65 263.5 27.7 26 25.9 02.7 86 85.5 09.0 46 145.2 I5.3 o6 204.9 21.5 66 264.5 27.8 27 26.9 02.8 87 86.5 o9. 47 146.2 15.4 07 205.9 2I.6 67 265.5 27.9 28 27.8 02.9 88 87.5 09.2 48 147.2 I5.5 o8 206.9 2I.7 68 266.5 28.0 29 28.8 o3.o 89 88.5 09. 3 49 I48.2 5.6 09 207.9 2.8 69 267.5 28. 30 29.8 o3.1 90 89.5 09.4 50 149.2 I5.7 I0 208.8 22.0 70 268.5 28.2 31 3o.8 o3.2 9i 90.5 09.5 i5i i50.2 i5.8 21I 209.8 22.1 271 269.5 28.3 33 32.8 o3.4 93 92.5 09.7 53 2.2 6.o I3 2I.8 22.3 73 271.5 28.5 34 33.8 o3.6 94 93.5 og09.8 54 i53. i6.i 14 212.8 22.4 74 272.5 28.6 35 34.8 o3.7 95 94.5 o9.9 55 i54.2 I6.2 I5 2I3.8 22.5 75 273.5 28.7 36 35.8 o3.8 96 95.5 Io0.0 56 i55.I i6.3 i6 2I14.8 22.6 76 274.5 28.8 37 36.8 03.9 97 96.5 io.i 57 I56.i i6.4 17 2I5.8 22.7 77 275.5 29.o 38 37.8 o4.o 98 97.- 5 IO.2 58 I57.I i6.5 i8 2I6.8 22.8 78 276.5 29.I 39 38.8 o4.I 99 98.5 io.3 59 I58.I i6.6 19 2I7.8 22.9 79 277.5 29.2 4o 4039.8 04.2 o100 99.5 io.5 60 I59.I 16.7 20 2I8.8 23.o. 80 278.5 29.3 4I 40.8 o4.3 ioi ioo.4 io.6 I6i i6o.i i6.8 22I 29.Ig.8 23.I 28I 279.5 29.4 42 4i.8 o4.4 02 ioi.4 10.7 62 I6i.i I6.9 22 220.8 23.2 82 280.5 29.5 43 42.8 04.5 03 Io02.4 io.8 63 I62.1I I7.0 23 22I.8 23.3 83 28I.429.6 44 43.8 o4.6 04 Io3.4 Io.9 64 i63. I 7.I 24 222.8 23.4 84 282.4 29.7 45 44.8 04.7 o5 io4.4 II.o 65 I64.i 17.2 25 223.8 23.5 85 283.4 29.8 46 45.7 o4.8 o6 Io5.4 ii.i 66 i65. I 7.4 26 224.8 23.6 86 284.4 29.9 47 46.7 04.9 07 io6.4 II.2 67 i66.i I7.5 27 225.8 23.7 87 285.4 30.o 48 477 o5.o o8 107.4 II.3 68 I67.1 17.6 28 226.8 23.8 88 286.4 3o.I 49 48.7 o5.i og9 io8.4 II.4 69 i68.i I7.7 29 227.7 23.9 89 287.4 30.2 50 49 7 05.2 10 o09.4 II.5 70 i6. 7.8 3 228.7 240 90 288.4 30.3 5 50.7o5.3 iii iiO0.4 ii.6 171 170.I 17.9 231 229.7 24. 29I 289.4 30o.4 52 51.7 05.4 12 11I.4 I1.7 72 I71.1 i8.o 32 230.7 24.3 92 290.4 3o.5 53 52.7 05.5 I3 II2.4 II.8 73 I72.1 i8.x 33 23I.7 24.4 93 291.4 3o.6 54 53.7 05.6 I4 13.4 II.9 74 173.0 I8.2 34 232.7 24.5 94 292.4 30.7 55 54.-7 o5.7 I5 I4.4 12.0 75 174.o0 i8.3 35 233.7 24.6 95 293.4 3o.8 56 55.7 o5.9 i6 mI5.4 12.I 76 175.o I8.4 36 234.7 24.7 96 294.4 30.9 57 56.7 o6.o 17 II6.4 I2.2 77 176.0 i8.5 37 235.7 24.8 97 295.4 3I.O 58 57.7 o6.I I8 I17.4 I2.3 78 177.0 i8.6 38 236.7 24.9 98 296.4|3I.I 59 58.7 o6.2 I9 118.3 12.4 79 178.o0 8.7 39 2037.7 25.o 99 297.4 3I.3 6o_ 59.7 o6.3 20 19.3 12.5 80 I79.-0 i8.8 40 238.7 25.1 3oo00 298.4 3I.4 Dist. Dep. -Lat. Dist. Dep. I Lat. Dist. Dep. -Lat. Dist. Dep. Lat. Dist. Dep. Lat. [For 84 Degrees. TABLE II. rPago 23 Difference of Latitude and Departure for 7 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. I 0I.0 00.1 6I 6o.5 07.4 I2I I20.1 14.7 I81 179.7 22.-I 24i 239.2 29.4 2 02.0 00.2 2 6.5 07.6 22 121.1 14.9 82 i8o.6 22.2 42 240.2 29.5 3 o3.o oo.4 63 62.5 07.7 23 I22. I I5.o 83 I8i.6 22.3 43 24I1.2 29.6 4 o4.o oo.5 64 63.5 07.8 24 123. I I5. i 84 182.6 22.4 44 242.2 29.7 5 o5.o oo.6 65 64.5 07.9 25 124. I I5.2 85 i83.6 22.5 45 243.2 29.9 6 o6.o 00.7 66 65.5 o8.o 26 I25.1 i5.4 86 i84.6 22.7 46 244.2 3o.o 7 o6. 9 67 66.5 08.2 27 126.1 15.5 87 85.6 22.8 47 245.2 30.I 8 07.9 oi.o 68 67.5 o8.3 28 I27.o 5.6 88 i86.6 22.9 48 246.2 30.2 9 o8.9 oi.i 69 68.5 o8.4 29 128.o I5.7 89 i87.6 23.o 49 247. I 30.3 10 o09.9 01.2 70 69.5 o8.5 30 12g.0 i 5.8 go i88.6 23.2 50 248. i 3o.5 II IO.9 oi.3 71 70.5 o8.7 I3i 13o.o i6.o 19I 189.6 23.3 25i 249. I 3o.6 12 1I.9 oi.5 72 71.5 o8.8 32 i3i.o i6. i 92 I90.6 23.4 52 250. I 3o.7 13 12.9 oi.6 73 72.5 08.9 33 i32.o I6.2 93 191.6 23.5 53 251. 3o.8 14 13.9 OI 01.7 74 73.4 09.0 34 i33.o i6.3 94 192.6 23.6 54 252. 3.0 I5 I4.9 oi.8 75 74.4 o9. 35 i34.o i6.5 95 193.5 23.8 55 253. I 31. i6 I5.9 OI9 76 75.4 o9.3 36 135.0 i6.6 96 I94.5 23.9 56 254.i 3I.2 17;6.9 02I. 77 76.4 09.4 37 I36.o 16.7 97 I95.5 24.0 57 255. I 3i.3 I8 I7.9 02.2 78 77.4 09.5 38 137.0 i6.8 98 196.5 24. I 58 256.1 31.4 1 8.9 02.3 79 78.4 og09.6 39 I38.o 16.9 99 197.5 24.3 59 257. I 3i.6 20 19.9 02.4 8o 79.4 09.7 4o 139.0 17. 1 200 i198.5 24.4 6o 258. I 3I.7 21 20.8 o2.6 8I 80.4 09.9 I4I I39.9 17.2 201 199.5 24.5 26I 259.I 3i.8 22 21.8 2.7 82 8i.4 10.0 42 I40.9 I7.3 02 200.5 24.6 62 260.0 31.9 23 22.8 o2.8 83 82.4 Io.1 43 14I.9 17.4 o3 201.5 24.7 63 261.o 32.1 24 23. 8 02.9 84 83.4 10.2 44 I142.9 I7.*5 04 202.5 24.9 64 262.0 32.2 25 24.8 o3.o 85 84.4 Io.4 45 I43.9 17.7 o5 203.5 25.o 65 263.o 32.3 26 25.8 o3.2 86 85.4 io.5 46 44-9 I7.8 o6 204.5 25. 66 264.0 32.4 27 26.8 o3.3 87 86.4 io.6 47 i45.g I7'9 07 205.5 25.2 67 265.o 32.5 28 27.8 o3.4 88 87.3 io.-7 48 146.9 I8.o o8 206.4 25.3 68 266.0 32.7 29 28.8 o3.5 89 88.3 io.8 49 147.9 18.2 09 207.4 25.5 69 267.0 32.8 30 29.8 03.7 g9 89.3 Ii.o 50 I48.9 i8.3 io 208.4 25.6 70 268.o 32.9 3 3o.8 o3.8 9 90.3 I i.I 499 I8.4 211 2094 25.7 271 269.o 33.o 32 31.8 03.9 92 91.3 11.2 52 I50.9 I8.5 12 2IO.4 25.8 72 270.0 33.i 33 32.8 o4.o 93 92.3 II.3 53 i5i.9 i8.6 I3 211.4 26.0 73 27I.c 33.3 3433.74 93.3 i8.8 14 212.4 26.1 74272 33.4 35 34-7 043 95 9 4.3 II.6 55 I53.8 I8.9 I5 2I3.4 26.2 75 273.o 33.5 36 35.7 o4.4 96 95.3 I.7 56 154.8 I9. I6 214.4 26.3 76 273.9 33.6 37 36.'7 04.5 97 96.3 II.8 57 i55.8 19.1 I7 215.4 26.4 77 274.9 33.8 38 37.7 o4.6 98 97.3 II.9 58 I56.8 [9.3 I8 2I6.4 26.6 78 275.9 33.9 39 38.7 o04.8 99 98.3 12.. 59 I57.8 I9.4 I9 217.4 26.7 79 276.9 34.o 40 39.7 0o49 IOO 99.3 I2.2 6o i58.8 19.5 20 2I8.4 26.8 8o 277.9 34.I 4 41.5.o I01 I00.2 12.3 i6i I59.8 Ig.6 221 219.4 26.9 281 278.9 34.2 42 41.7 o5.1 02 101.2 12.4 62 i6o.8 19.7 22 220.3 27.1 82 279.9 34.4 43 42a7 o5.2 03 I02.2 12.6 63 i6i.8 19.9 23 221.3 27.2 83 280.9 34.5 44 43.7 o05. 4 o4 103.2 2.7 64 162.8 20.0 24 222.3 27.3 84 281.9 34.6 45 44.7 o5.5 o5 I04.2 I2.8 65 i63.8 20.1 25 223.3 27.4 85 282.9 34.7 46 45.7 o5.6 o6 Io5.2 I2.9 66 i64.8 20o.2 26 224.3 27.5 86 283.9 34.9 47 46.6 05.7 07 I06.2 I3.o 67 i65.8 20.4 27 225.3 27.7 87 284.9 35.o 48 47.6 o5.8 o8 7.2 13.2 68 I66.7 20.5 28 226.3 27.8 88 285.9 35.i 49 48.6 o6.o 09 I08.2 13.3 69 167.7 20.6 29 227.3 27.9 89 286.8 35.2 5o 49.6 o6.I IO 109.2 I3.4 70o 68.7 20.7 30 228.3 28.0 9 287.8 35.3 J 5..6 06.2 III 11o.2 I3.5 71 169.7 20.8 23I 229.3 28.2 291 288.8 35.5 52 5 i.6 o6.3 I2 III.2 i3.6 72 I707 21.0 32 230.3 28.3 92 289.8 35.6 53 52.6 o6.5 13 112.2 I3.8 73 171.7 21.1 33 231.3 28.4 93 290.8 35.7 54 53.6 o6.6 4 113.2 13.9 74 172.7 21.2 34 232.3 28.5 94 29.8 35.8 55 154.6 o6.7 I5 iI4.i I4.o 75 173.7 2I.3 35 233.2 28.6 95 292.8 36.o 56 55.6 o6.8 i6 ii5.i 14.1 76 174.7 21.4 36 234.2 28.8 96 293.8 36.i 57 56.6 1069 I7 ii6.i i4.3 77 I75.7 2I.6 37 235.2 28.9 97 294.8 36.2 58 57.6 07.I I8 117.1 4.4 78 176.7 2I.7 38 236.2 29.0 98 295.8 36.3 59 58.6 07.2 I9 i8.i i4.5 79 I77.7 21.8 39 237.2 29.1 99 296.8 36.4 6o 59.6 07.3 20 II9.I I4.6 8o 178.7 21.9 4o 238.2 29.2 300oo 297.8 36.6 Dist.ep. [Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep._Lat. -P L at.t.~[ 83i Deg.I [For 83 Degrees. Page 24] TABLE II. Difference of Latitude and Departure for 8 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. I oI.0 00.1 6i 60.4 o8.5 12I 119.8 16.8 I81 179.2 25.2 241 238.7 33.5 2 02.0 oo.3 62 6i.4 o8.6 22 I20.8 I7.0 82 180.2 25.3 42 239.6 33.7 3 o3.o oo0.4 63 62.4 o8.8 23 I2I.8 I7.I 83 I8I.2 25.5 43 240.6 33.8 4 o4.o oo.6 64 63.4 08.9 24 I22.8 17.3 84 I82.2 25.6 44 241.6 34.o 5 o5.o oo.7 65 64.4 09.0 25 I23.8 I7.4 85 I83.2 25.7 45 242.6 34. 6 o5.9 oo.8 66 65.4 o09.2 26 I 24.8 I7.5 86 I 84.2 25.9 46 243.6 34.2 7 06.9 o1.0 67 66.3 09. 3 27 I25.8 I7.7 87 I85.2 26.0o 47 244.6 34.4 8 07.9 0O.I 68 67.3 og9.5 28 I 26.8 17.8 88 I86.2 26.2 48 245.6 34.5 9 o8.9 oi.3. 69 68.3 og.6 29 127.7 I8.o 89 I87.2 26.3 49 246.6 34.7 Io 09.9 oI.4 70 69.3 09.7 30 I28.7 I8.I 90 I88.2 26.4 50 247.6 34.8 II i0.9 oi.5 71 70.3 09.9 i3i1 29.7 I8.2 I9I I89.I 2.6.6 25I 248.6 34.9 I12 11.9 01.7 72 71.3 IO:.0.32 I30.7 I8.4 92 90. I 26.7 52 249.5 35.1 I3 12.9 oI.8 73 72.3 1I.2 33 I3I.7 i8.5 93 9I.I 26.9 53 250.5 35.2 14 I3.9 o0.9 74 73.3 io.3 34 I32a.7 i8.6 94 192. 27.0 54 25I.5 35.3 i5 14.9 02.1 75 74.3 io.4 35 133.7 i-8.8 95 193.1 27.I 55 252.5 35.5 i6 I5.8 02.2 76 75.3 Io.6 36 134.7 I8.9 96 I94 I27.3 56 253.5 35.6 7 I6.8 02.4 77 76.3 10.7. 37 135.7 I9. 97 I95.1 27.4 57 254.5 35.8 I8 17.8 02.5 78 77.2 10.9 38 136.7 I9.2 98 I96.1 27.6 58 255.5 35.9 19 x8.8 02.6 79 78.2 II.0 39 I37-7 I9.3 99 I97. I 27.7 59 256.5 36.o 20 19.8 02.8 80 79.2 II.I 40o 38.6 I9.5 2o0 I98. I 27.8 60 257.5 36.2 21 20.8 02.9 8i 80. 2 i.3 I4I 1 39.6 I9.6 20I 199.0 28.0 26I 258.5 36.3 22 2I.8 o3. I 82: 8I.2 II.4 42 I4o.6 19.8 02 200.0 28 1 62 259.5 36.5 23 22.8 o3.2 83 82.2 II.6 43 I4i.6 19.9 o3 201.0 28.3 63 260.4 36.6 24 23.8 o3.3 84 83.2 II.7 44 42.6 20.0 o4 202.o0 28.4 64 26I.4 36.7 25 24.8 o3.5 85 84.2 11.8 45 i43.6 20.2 o5 203.0 28.5 65 262.4 36.9 26 25.7 o3.6 86 85.2 12.o 46 i44.6 20.3 o6 204.0 28.7 66 263.4 37.0 27 26.7 o3.8 87 86.2 12.1 47 I45.6 20.5 o7 205.0 28.8 67 264.4 37.2 28 27.7 03.9 88 87.I 12.2 48 I46.6 20.6 o8 206.0 28.9 68 265.4 37.3 29 28.7 o4.o 89 88.I I12.4 49 I 47. 5 20.7 09 207.0 29. I 69 266.4 37.4 30 29.7 04.2 90go 89.1 I2.5 50 48.5 20.9 I o 208.0 29.2 70 267.4 37.6 3I 30.7 o4.3 91 90.I I2.7 151 I49.5 21.0 211I 208.9 29.4 271 268.4 37. 7 32 3I.7 o4.5 92 gI.I 12.8 52 50.5 2I.2 I2 1209.9 29.5 72 269.4 37 9 33 32.7 o4.6 93 9-2. I2.9 53 i5r.5 2I.3 I3 2I0.9 29.6 73 270.3 38.' 34 33.7 04.7 94 93.' I3.I 54 152.5 2I.4 I4 211.9 29.8 74 27I.3 38.I 35 34.7 04.9 95 94.I I3.2 55 i53.5 2I.6 I5 212.9 29.9 75 272.3 38.3 36 35.6 o5.o 96 95.I I3.4 56 I54.5 21.7 I6 2I3.9 30. 76 273.3 38.4 37 36.6 o5. I 97 96. I 3.5 57 I55.5 21.9 17 2I4.9 30.2 77 274.3 38 6 38 37.6 o05.3 98 97.0 I3.6 58 i56.5 22.0 I8 215.9 30.3 78 275.3 38.7 39 38.6 o5.4 99 98.0 i3.8 59 I57.5 22. I 19 26.9 30.5 79 276.3 38.8 40 39.6 o05.6 Ioo 990o ~3.9 6o I58.4 22.3 20 2I7.9 30.6 8o 277.3 39.0 4 40o.6 05.7 IOI Ioo.o I4.I i6i 159.4 22.4 221 218.8 30.8 281 278.3 39.I 42 4I.6 o5.8 02 Io1.0 14.2 62 i6o.4 22.5 22 2I9.8 30.9 82 279.3 39.2 43 42.6 o6.o o3 102.0 i4.3 63 16i.4 22.7 23 220.8 3i.o 83 280.2 39.4 44 43.6 o6. I o4 Io3.o i4.5 64 I62.4 22.8 24 22I.8 3I.2 84 28.2 39.5 45 44.6 o6.3 o5 io4.o I 4.6 65 I63.4 23.o 25 222.8 3I.3 85 282.2 39.7 46 45.6 o6.4 o6 io5.o I4.8 66 164.4 23. 26 223.8 3i.5 86 283.2 39.8 47 46.5 o6.5 07 io6.o I4.9 67 i65.4 23.2 27 224.8 3i.6 87 284.2 39.9 48 47.5 06.7 o8 1o6.9 i5.o 68 I66.4 23.4 28 225.8 31.7 88 285.2 4o.I 4948.5 o6.8 09 107.9 15.2 69 4867.423.5 29 226.8 31.9 89 286.2 4o0.2 50 49.5 07.0 Io Io8.9 I5.3 70 i68.3 23.7 30 227.8 32.o i 9o 287.2 40.4 5I 50.5 07.1 1II 109.9 15.4 171 169.3 23.8 231 228.8 32.I 291 288.2 40.5 52J i.5 07.2 12 110.9 I5.6 72 I70.3 23.9 32 229.7 32.3 92 289.2 4o.6 53 52.5 07.4 I3 II1.9 I5.7 73 171.3 24.I 33 230.7 32.4 93 290. I 40.8 54 53 5 07.5 I4 II12.9 5.9 74 172.3 24.2 34 231.7 32.6 94 29.I1 40.9 55 54.5 07.7 i5 1I3.9 i6.0 75 I73.3 24.4 35 232.7 32.7 95 292.1 41.1 56 55.5 07.8 I6 "I4.9 i6.I 76 174.3 24.5 36 233.7 32.8 96 293.I 4I.2 57 56.4 07.9 17 II5.9 i6.3 77 I75.3 24.6 37 234.7 33.0 97 294.I 4I.3 58 57.4 o8.i I8 1I6.9 i6.4 78 I76.3 24.8 38 235.7 33.1 98 295.I 4i.5 59 58.4 08.2 19 117.8 I6.6 79 177.3 24.9 39 236.7 33.3 99 296.I 4I 6 60 59.4 o8.4 2o 2I8.8 16.7 80o 178.2 25.I 4o 237.7 33.4 3o 297. 1 4.8 D)ist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. IDist. Dep. Lat. Dist. Dep. Lat [For 82 Degrees. - TABLE II Page 25 Difference of Latitude and Departure for 9 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. I 01.0 00.2 6I 60.2 og9 21.5 I2I 8.9 I8I 178.8 28.3 24 238.o 37.7 2 02.0 oo.3 62 6I.2 09.7 22 120.5 I9. 82 179.8 28.5 42 239.0 37.9 3 o3.o oo.5 63 62.2 o9.9 23 I2I.5 I9.2 83 I80.7 28.6 43 240.0 38.o 4 o4.o oo.6 64 63.2 10.0 24 I22.5 19.4 84 I8I.7 28.8 44 24I.0 38.2 5 o4.9 oo.8 65 64.2 10o.2 25 I123.5 Io.6 85 I82.7 28.9 45 242.0 38.3 6 o5.9 00oo.9 66 65.2 Io.3 26 I24.4 19.7 86 I83.7 29.I 46 243.o 38.5 7 o6.g9 o.I 67 66.2 Io.5 27 I25.4 I9.9 87 184-7 29.3 47 244.0o 38.6 8 07.9 oi.3 68 67.2 io.6 28 126.4 20.0 88 I185.7 29 4 48 244.9 38.8 9o8.9 oI.4 69 68.2 10.8 29 127.4 20.2 89 I86.7 29.6 49 245.9 39.0 Io 09.9 oi.6 7o 69. I I1.0 3o I28.4 20.3 90 I87.7 29.7 50 246.9 39. I II 10.9 01.7 71. 70.I II.I 3I 129.4 20.5 ii iI88.6 29.9 251 247.9 39.3 I2 I I.901o.9 72 71.1 II.3 32 I30.4 20.6 92 189.6 3o.o 52 248.9 39.4 13 12.8 0o2.o 73 72.1 /.4 331i3.4 20.8 93 I9g.6 30.2 53 249.9 39.6 I4 I3.8 02.2 74 73.1 i.6 34 i32.4 2I.0 94 IgI1.6 3o.3 54 250.9 39.7 I5 I4.8 02.3 75 74.! II.7 35 i33.3 21.1 95 192.6 30.5 55 25I.9 39.9 i6 I5.8 02.5 76 75. I II.9 36 i34.3 2I.3 96 193.6 30.7 56 252.8 4o.o 17 i6.8 02.7 77 76. I I2.0 37 I35.3 2I1.4 97 194.6 3o.8 57 253.8 40.2 I8 17.8 o2.8 78 77.0 12.2 38 i36.3 21.6 98 I95.6 3i.o 58 254.8 4o.4 I9 I8.8 o3.o 79 78.o1I2.4 39 137.3 21.7 99 I96.5 3I.I 59 255.8 4o.5 20 I9.8 o3.i 80 79.o 12.5 4o i38.3 2I.9 200 I97.5 3I.3 60 256.8 40.7 2I 20.7 o3.3 8i 8o.o I 2.7 i41 I39.3 22. I 20I 198.5 3i.4 261 257.8 4o.8 22 2I.7 o3.4 82 8I.o I2.8 42 I4o.3 22.2.02 199.5 3i.6 62 258.8 4i.o 23 22.7 o3.6 83 82.o0 3.o 43 I4I.2 22.4 o3 200o.5 3I.8 63 259.8 4I.I 24 23.7 o3.8 84 83.o i3.i 44 142.2 22.5 o4 201o.5 3i.9 64 260.7 4I.3 25 24.7 03.9 85 84.o I3.3 45 I43.2 22.7 o5 202.5 32.I 65 261.7 4i.5 26 25-7 o4.i 86 84.9 I3.5 461 I44.2 22.8 o6 203.5 32. 2 661 262.7 4.6 27 26.7 04.2 87 85.91 3.6 47 i45.2 23.o 07 204.5 32.4 671 2637 4i.8 28 27.7 o4.4 88 86.9 I3.8 48 I46.2 23.2 o8 205.4 32.5 68 264.7 41.9 29 28.6 1o.5 89 87.9 i3.9 49 I47.2 23.3 og09 206.4'32.7 69 265.7 42. 30 29.6 0o4.7 90 88.9 I4.i 5o I48.2 23.5 IO 207.4 32.9 70 266.7 42.2 3I 30.6 104.8 91 89.9 14.2 I5I I49.I 23.6 2IJ 208.4 33.0 27I 267-7 42.4 32 3I.6 j5.0 92 90.91 I44 52 I50o. 23.8 I2 209.4 33.2 72 268.7 42.6 3i 30.6 J5.':9o-q i4.4 52 33 32.6 05.2 93 9I.9 i4.5 53 i5i.i 23.9 I3 2O1.4133.3 73 269.6 42.7 34 33.6 |o5.3 94 92.8 4.-7 54 152.I 24.I I4 2II.4 33.5 74 270.6 42.9 35 34.6 o5.5 95 93.8 I4.9 55 i53.I 24.2 I5 212.4 33.6 75 27I1.6 43.o 36 35.6 10o5.6 96 94.8 i5.o 56 I54.i 24.4 I6 213.3 33.8 76 272.6 43.2 37 36.5 |o.8 97 95.8 15.2 57 155.I 24.6 17 214.3.33.9 77 273.6 43.3 38 37.5 o5.9 98 96.8 i5.3 58 i56.I 24.7 18 2I5.3 34.I 78 274.6 43.5 39 38.5 o6.i 99 97.8 15.5 59 I57.o 24-9 19 2I6.3 34.3 79 275.6 43.6 4o 39.5 o6.3 I00 98.8 I5.6 60 I58.o 25.o 0 02I7.3 34.4 80 276.6 43.8 4 40o5 |o6.4 IOI 998.8 I5.81 8 I 6 1I598.0 25. 2 221I I I18.3 34.6 28 277.5144~o 42 4.5 o6.6 02 I00oo.7 I6.o 62 I60o.0 25.3 22 2Ig.3 34.7 82 278.5 44. 43 42.5 o6.7 o3 IoI.71 i 6.I 63 i6i.o 25.5 23 220. 3349 83 279.5 44.3 44 43.5 06.9 o4 102.7 I6.3 64 I62.0 25.7 24 221.2 35.o 84 280.5 144.4 45 44.4 07.o0 o5 03.7 i6.4 65 i63.0 25.8 25 222.2 35.2 85 28I.5 44.6 46 45.4 07.2 o6 I04.7 i6.6 66 64.o/ 26.o 0 26 223.2 35.4 86 282.5144.7 47 46.4 1074 07 o05.7 167 67 1 64.9 26. 27 224.2 35.5 87 283.5 44.9 48 47.4 07.5 o8 1o6.7 I6.9 68 I65.9 26.3 28 225.2 35.7 88 284.5 45.I 49 48.4 07-7 09og I077 17.I 69 I66.9 26.4 29 226.2 35.8 89 285.4 45.2 50 49.4 07.8 Io io8.6 I7.2 7 I67.9 26.6 30 2272 36.o go90 286.4 45.4 i 50o.4 o8.o iii Iog.6 1I7.4 7I i68.9 26.8 231 228.2 36.I 29I 287 4 45.:5 52 51.4 o8.i I2 iio.6 1I7.5 72 1 69.9 26.9 32 229. 36.3 92 288.4 45.7 53 52.3 o8.3 I3 iiI.6 I7.7 73 I70.9 [ 27.1 33 230. 36'.4 93 289.4,45.8 54 53.3 18.4 I4 I12.6 I7.8 74 17.9 27.2 34 23I.I 36.6 94 290.4 46.o 55 54.3108.6 I5 3.6 80 75 72.8 27.4 35 232. 36.8 95 29.4 46. 56 55.3 o8.8 i6 ii4.6 i8.I 76 I73.8 27.5 36 233.I 36.9 96 2924 46.3 57 56.3 o8.9 17 ii5.6 i8.3 77 174.8 27.7 37 234.1 37.I 97 293.3 46.5 58 57.3 09. I 8 1I6.5 i8.5 78 I75.8 27.8 38J 235. I37.2 98 294.3 466.6 59 58.3 09.2 19 II7.5 i8.6 79 176.8 28.o 39 236.1 37.4 99 29S.3 46.8 60 59.3 og.4 20 II8.5 i8.8 8o I77.8 28.2 40 237.0 37.5 300 296.3 46.9 Dist. Dep. Lat. Dist. Dep. at. Dist. Dep. Lat. Dist. Dep. at. Dist. Dep. Lat. I~~. ______________________________ _ [For 81 Degrees. 4 Page 26] TABLE II. Difference of Latitude and Departure for 10 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. De'p. I oI.o 00.2 6I 6o.I IO.6 -2I I9. 2 I1.0 I81 I78.3 3I.4 24I 237.3 4I.8 2 02.o 00.3 62 6I. Io.8 22 J20.I 21.2 82 I79-2 3I.6 42 238.3 42.o 3 o3.o oo.5 63 62.o 10.9 23 I2I.I 2I.4 83 i8o9. 3I.8 43 239.3 42.2 4 03. 9 00 7 64 63.o iI.I 24 122.I 2I.5 84 I8I.2 32.o 44 240.3 42,4 5 o4.9 oo.9 65 64.o II.3 25 123. I 21.7 85 I82.2 32.I 45 241.3 42.5 6 o5.9 oI.o 66 65.o II.5 26 124.I 2I.9 86 I83.2 32.3 46 242.3 42-7 7 o6. 9 oI.2 67 66. o II.6 27 I125.I 22. I 87 I84.2 32.5 47 243.2 42.9 8 ~7 m9 DI.4 68 67.o0 II.8 28 I926..I 22.2 88 I85.I 32.6 48 2442 43. I 9 o8.9 oi.6 69 68.0o 12.0 29 127.o0 22.4 89 I86. I 32.8 49 245.2 43.2 lo 09.8 oi.7 7o 68.9 I92.2 30 I28.o 22.6 9o I87-I 33.o 50 246.2 43.4 II Io.8 01.9 71 69.9 I2.3 I3I I'29.0 22.7 I9I I88.I 33.2 251 247.2 43.6 12 II.8 02.I 72 70.9 I 2.5 32 I30o.0 22. 92 I8g.I 33.3 52 248.2 43.8 I3 12.8 02.3 73 71.9 I2.7 33 I3I.o 23.I 93 I9o.I 33.5 53 249.2 43.9 I4 I3.8 o2.4 74 72.9 I2.8 34 I32.0 23.3 94 I9I.I 33.7 54 250.`44.I I5 I4.8 029.6 75 73.9 I3.0 35 I32.9 23.4 95 I92.0 33.9 55 25I.I 44.3 I6 I5.8 02.8 76 74.8 i3.2 36 133.9 23.6 96 I93.o 34.o 56 252. 44.5 17 I6.7 o3.0 77 75.8 I3.4 37 I34.9 23.8 97 I94.0 34.2 57 253. I 1.6 18 17.7 o3.I 78 76.8 I3.5 38 I35.9 24.o 98 I95.o 34.4 58 254.1 44.8 19 18.7 o3.3 79 77.8 I3.7 39 I36.9 24.I 99 I96.o 34.6 59 255.x 45.0 20 I9.7 o3.5 80 78.8 i3.9 4o I37.9 24.3 200 I97.0 34.7 60 256.I 45.I 2I 20.7 o3.6 8I 79.8 i4. I I4I I38.g 24.5 2oI I97. 5 34'9 26I 257.o 45.3 22 2 I. 7 o3.8 82 80.8 I 4.2 42 I 39.8 24-7 02 I98.9 35.I 62 258.o 45.5 23 22.7 o4.o 83 8I.7 I4.4 43 I4o.8 24.8 03'99' 9 35. 3 63 85.0 24 23.6 o4.2 84 82.7 I4.6 44 I4I.8 25.o o4 200.9 35.4 64 26o.o 45.8 25 24.6 o4.3 85 83.7 I4.8 45 I429.8 85.2 o5 20oi.9 35.6 65 26I.0 46.o 26 25.6 o4.5 86 84.7 I4.9 46 I43.8 25.4 o6 202.9 35.8 66 262.o 46.2 27 26.6 o4.7 87 85.7 15. 47 I44.8 25.5 o7 2o03.9 35.9 67 262.9 46..4 28 27.6 o4.9 88 86.7 15.3 48 I45.8 25.7 o8 204.8 36.I 68 263.9 46.5 29 28.6 o5.o 89 87.6 I5.5 49 I46.7 25.9 og 205.8 36.3 76 264.9 46 7 30 29.5 o5.2 go 88.6 i5.6 5o 147-7 26.o Io 206.8 36.5 70 265.9 46.9 3I 3o.5 o5.4 gI 89.6 I5.8 I5i I48.7 26.2 2II 207.8 36.6 27I 266.9 47.I 32 31.5 o5.6 92 9o.6 16.o 52 I49.7 26.4 12 2o8.8 36.8 72 267.9 47.2 33 32.5 o5 93 9I.6 I6.I 53 I5o 26.6 I3 209.8 37-o 73 268.? 47 4 34 33.5 o5.g 94 92.6 I6.3 54 I5I.7 26.7 14 2I0.7 37.2 74 269.8 47 6 35 34.5 06.I 95 93.6 I6.5 55 i52.6 26.9 I5 2II.7 37.3 75 270.8 47.8 36 35.5 o6.3 96 94.5 I6.7 56 I53.6 27.I I6 212.7 37.5 76 271.8 47.9 37 36.4 o6.4 97 95.5 I6.8 57 I54.6 27.3 17 2I3.7 37-7 77 272.8 48.I 38 37.4 o6.6 98 96.5 I7.0 58 I55.6 27.4 I8 214.7 37.9 78 273.8 48.3 39 38.4 o6.8 99 97.5 I7.2 59 I56.6 27.6 19 2J5.7 38.0 79 274.8 48.4 40 39.4 o6.9 Ioo 98.5 I7.4 6C I57.6 27.8 2C 29I6 7 38.2 8o 275.7 48.6 4I 4o-4 07.1 IoI 99.5 I7.5 I6I T58.6 28.0 22i 217.6 38.4 281 276.7 48.8 42 4I.4 07.3 02 IoO.5 I7.7 6.2 I59.5 28.i 22 21I8.6 38.5 82 277-7 49.o 43 42.3 07.5 o3 ioi.4 17.9, 63 I6o.5 928.3 23 2Ig.6 38.7 83 278.7 49.]I 44 43.3 07.6 o4 Io..4 I8.I 64 I6I.5 28.5 24 220.6 38.9 84 279-7 49.3 45 44.3 07.8 o5 Io3.4 I8.2 65 I62.5 28.7 25 22I.6 39. I 85 280.7 49.5 46 45.3 o8.o o6 io4.4 I8.4 66 I63.5 28.8 26 92.229.6 39.2 86 28I.7 49.7 47 46.3 o8.2 o7 Io5 4 I8.6 67 I64.5 29.o 27.223.6 39.4 87 282.6 49.8 48 47.3 o8.3 o8 Io6.4 I8.8 68 I65.4 29.2 28 224.5 39.6 88 283.6 5o.o 49 48.3 o8.5 09 I07.3 I8.9 69 I66.4 29.3 29 225.5 39.8 89 284.6 50.2 50 49.2 o8.7 Io Io8.3 19.1 70 i67-4 29.5 30 226.5 39.9 9o 285.6 50.4 5I 50.2 o8 -.9 III Io9.3 I9.3 i7I I68.4 29'7 23I 2 -5.I 29I 286.6 50.5 52 5I.2 09.0 I.2 I 13 I9-4 72 I69.4 29.9'32.228.5 4o.3 92 287.6 5o.7 53 52.2 o9.2 i3 I I.3 I9.6 73 i70o-4 3o.0 33 229..5 40.5 93 288.5 50.9 54 53.2 09.4 I4 I12.3 I9.8 74 I7I.4 3o.2 34 230.4 40.6 94 289.5 5I.I 55 54.2 o9.6 I5 II3.3 20.0 75 I72.3 3o.4 35 23I.4 40.8 95 290.5 5I..2 56 55.i 09.7 I6 II4.2. I0o1 76 173.3 3o.6 36 232.4 4I.o 96 291.5 5I.4 57 56.I ~9.9 17 II5.2 2o.3 77 I74.3 30.7 37 233.4 4I.2 97 292.5 5I.6 58 57.1 o.1 I8 II6.2 20.5 78 I75.3 30.9 38 234.4 4I.3 98 293.5 51.7 59 58. IO.2 19 II7-2 20.7 79 17 6.3 3,.I 39 235.4 4,.5 99 294,5 5I.9 60 59.I Io;4 20 18.2 20.8 8o I77.3 3I.3 4o 236.4 41.7 3o0 295.4 52..I Dist.. Dep. Lat. Dist. Dep. Eat. Dist., Dep' Lat. Dist. Dep. L at [For 80 Degrees. ~~~~~~~~~~~........... TABLE II. [Page 27 Difference of Latitude and Departure for 11 Degrees. Dist.| Lat. Dep. Dist.1 Lat. Dep. Dist. Lat. Dep. Dist. Lat Dep. I OI.O 00.2 6I 59.9 II.6 12I|Ii8.8 23.1 I8I I77.7 34.5 241 236.6 46.o 2 02.0 oo.4 62 60.9 ii.8 22 II9.8 23.3 82 178.7 34.7 42 237.6 46.2 3 o2.9 oo.6 63 6i.8 I2.0 23 120.7 23.5 83 I79.6 34.9 43 238.5 40.4 4 03.9 oo.8 64 62.8 I2.2 24 I2I.7 23.7 84 I8o.6 35.1 44 239.5 46.6 5 o4.9 oi.0 65 63.8 i2.4 25 I22.7 23.9 85 i8i.6 35.3 45 240.5 46.7 6 o5.9 OI.I 66 64.8 I2.6 26 123.7 24.o 86 I82.6 35.5 46 24I.5 46.9 7 06.9 oi.3 67 65.8 I2.8 27 124.7 24.2 87 i83.6 35.7 47 242.5 47.I 8 07.9 oi.5 68 66.8 I3.o 28 125.6 24.4 88 i84.5 35.9 48. 243.4 47.3 9 o8.8 o01.7 69 67.7 13.2 29 126.6 24'6 89 i85.5 36.i 49 244.4 47.5 IO og.8 01.9 7o 68.7 I3.4 3o0 I27.6 24.8 9o I86.5 36.3 50 245.4147 7[ II Io.8 02.I 7I 69.7 I3.5 I3I 28.6 25.0o I9I I87.5 36.4 25I 246.4 47.9 I2 II.8 02.3 72 70.7 13.7 32 I29.6 25.2 92 i88.5 36.6 52 247.4 48.i 13 I2.8 02.5 73 71.7 13.9 33 I3o.6 25.4 93 I89.5 36.8 53 248.4 48.3 4 #3.7 o02.7 74 72.6 14. I 34 i3i.5 25.6 94 I9o.4 37.o 54 249.3 48.5 i5 I4.7 02.9 75 73.6 i4.3 35 I32.5 25.8 95 19I.4 37.2 55 250.3 48.7 16 15.7 o3.I 76 74.6 i4.5 36 i33.5 26.o 96 192.4 37.4 56 251.3 48,8 17 16.7 o3.2 77 75.6 i4.7 37 i34.5 26.I 97 I93.4 37.6 57 252.3 49.o i8 I7.7 o3.4 78 76.6 I4.9 38 I35.5 26.3 98 I94.4 37.8 58 253.3 49. 2 19 18.7 o3.6 79 77.5 I5.i 39 I36.4 26.5 99 I95.3 38.o 59 254.2 49.4 20 Ig.6 o3.8 80 78.5 I5.3 4o i37.4 26-7 200 I96.3 38.2 60 255.2 49;6 2I o20.6 o4.o 8i 79.5 15.5 I4I i38.4 26.9 201 197.3 38.4 261 256.2 49.8 22 21I.6 o4.2 82 80.5 i5.6 42 I39.4 27.I 02 I98.3 38.5 62 257.2 50.0 23 22.6 o4.4 83 8I.5 I5.8 43 I40.4 27.3 o3 gg99.3 38.7 63 258.2 50.2 24 23.6 o4.6 84 82.5 i6.0 44 411.4 27.5 o4 200.3 38.9 64 259.I 5o.4 25 24.5 o4.8 85 83.4 I6.2 45 142.3 27.7 o5 201.2 39.I 65 260.I 5o.6 26 25.5 o5.o 86 84.4 1i6.4 46 I43.3 27.9 o6 202.2 39.3 66 26I.I 50o.8 27 26.5 05.2 87 85.4 I6.6 47 I44.3 28.o 07 203.2 39.5 67 262. I 50.9 28 27.5 o5.3 88 86.4 i6.8 48 i45.3 28.2 o8 204.2 39.7 68 263.I 5 II 29 28.5 o5.5 89 87.4 17.0 49 I46.3 28.4 o9 20o5.2 39.9 69 264.I 5I.3 30 29.4 o5.7 9go 88.3 I7.2 5o0 I47.2 28.6 10 2o6. 4o0.I 70 265.o 5i.5 3I 30.4 o5.9 91 89.3 I7a4 I5I I48.2 28.8 2II 207.1 40.3 27I 266.0o 51.7 32 3I.4 o6.i 92 90.3 I7.6 52 149.2 29.0 12 208.I 4o.5 72 267.o 5I.9 33 32.4 o6.3 93 9I.3 17v7 53 I50.2 29.2 3 209.I 40.6 73 268.0 5. I 34 33.4 o6.5 94 92.3 17.9 54 I5I.2 29.4 I4 2Io.I 40.8 74 269.0 52.3 35 34.4 o6.7 95 93.3 i8.I 55 i52.2 29.6 i5 2211.0o 4.o 75 269.9 52.5 36 35.3 o6.9 96 94.2 8.3 56 I53.I 29.8 I6 2I2.o0 4.2 76 270.9 52.7 37 36.3 07.I 97 95.2 I8.5 57 i54.I 30.0 I17 23.o 4I.4 77 271.9 52.9 38 37.3 07.3 98 96.2 18.7 58 I55.1 30.I i8 214.0 4i.6 78 272.9 53.o 39 38.3 07.4 99 97.2 I8.9 59 i56.x 30.3 19 2I5.o 4i.8 79 273.9 53.2 40 39.3 07.6 Ioo 98.2 19. 6o0 I571 3o. 5 20 26.0 42.o 80 274.9 53.4 4I 40.2 0o7.8 IOI 99.I I9.3 I6i I58.o30.7 22I 21I6.9 42.2 281 275.8 53.6 42 4I.2 o8.o 02 Ioo.1 I9.5 62 I5g.o 30.9 22 217.9 42.4 82 276.8 53.8 43 42.208.2 o8 3 IOI.I I9.7 63 16o0.0o 3.i 23 2I8.9 42.6 83 277.8 54.o 44 43.2 o8.4 o4 1o2.I 19.8 64 I6I.0 3I.3 24 2I9.9 42.7 84 278.8 54.2 45 44.2 o8.6 o5 03. 20.0 65 i62.0o 3I.5 25 220.9 42.9 851 279.8 54.4 46.2 o8.8 o6 Io4.I 20.2 66 i63.0o 3.7 26 221.8 43. I 86 280.7 54.6 47 46.i og.o 07 I05.0 20.4 67 163.9 3I.9 27 222.8 43.3 87 28.7 154.8 48 47.I 09.2 o8 io6.o 20.6 68 164.9 32. 28 223.8 43.5 88 282.7 55.o 49 48.i og.3 09 107.0 20.8 69 i65.9 32.2 29 224.8 43.7 89 283.7 55.i 50 49- og9.5 Io 108.0 2I.0 70 I66.9 32.4 30 225.8 43.9 90 284.7 55.3 -5 50.I.097 III 109.0 21.2 171 167.9 32.6 23i 6.8 44 I 291 285.7 55. 52 5i.o 09.9 12 1 09.9 21.4 72 i68.8 32.8 32 227.7 44.3 92 286.6 55.7 53 52.o 10I I3 110.9 21.6 73 169.8 33.0 33 228.7 44.5 93 287.6 55.9 54 53..o io.3 I4 I0.9 28 74 170.8 33.2 34 2297 446 94 288.6 56.i 55 54.0o IO.5 I5 II2.9 2I.9 75 17I.8 3 35 230.7 44.8 95 289.6 56.3 56 5.o O10.7 I6 II3.9 22.I 76 172.8 33.6 36 23I.7 45.o 96 290.6 56.5 57 556.o 10.9 I7 114i.9 22.3 77 173.7 33.8 37 232.6 45.2 97 29I.5 56.7 58 56.9 II.I i8 iI5.8 |22.5 78 174.7 34.o 38 233.6 45.4 98 292.5 56.9 59 57.9 ii.3 i68 227 79 39 234.6 46 99 293.5 57. 60o 58.9.,4 20 II7.8 22.9 80 176.7 34.3 4o 235.6 45.8 3oo 294.5 57.2 Dist.Dep. Lat. Dist. Dep. Lat. Dist. D ist. Dep. at. Dist. Dep. at. [For 79 Degrees. Page 281 TABLE II. Difference of Latitude and Departure for 12 Degrees. D)ist. Lat. Dep. Dist. Lat. Dop. Dist. Lat.c Dep. Dist. Lat. Dep. Dist. Lat. Dep. ooI O 00.2 6i 59.7 12. 7 12 iI8.4- 25.2 i8i I77.0 37.6 24i 235-.7 5o.i 202.0 oo.4 62 6o.6 12.9 22 1ii9.3125.4 82178.0 37.8 42 1236.7 50.3 3/02.9 oo.6 63,6i.6 13.1 23 T20.3 25.6 83 179.0 o38.o 43 237.7 50o.5 4 o3. oo.8 64 62.6 13.3 24 121.3 25.8 84 i8o.o 38.3 44 238.7 50.7 5 o4. 01i.0 65 63.6 13.5 25 122.3 26.0o 85 i8i.o 38.5 45.239.6 50.9 6 o5.9 01.2 66 64.6 13.7 26 i23.2 26.2 86 i8i.9 38.7 46 240.6 51.1i 7 o6.81 oi.5 67 65.5 /3.9 27 i24.2 26.4 87 182.9 38.9 47 241.6 5".4 8107.8 o0.7 68 66.5 14. r 28 12z5.2 26.6 88 183.9 39. i 48 242.6 5i.6 9/o8.8 or.9 69 67.5 i4.3 29 126.2 26.8 89 184.9 39.3 49 243.6 5i.8 Io 09.8 02.1 70 68.5'4.6 3o 127.2 27.0 90 i85.8 39.5 50 244.5 52.0 Iio.8 2.3 7i 6944.8 i3i I28.1 27.2 191 i86.8 39.7 251 245.5 52.2 12 1,.71o02.5 72 70.4 i5.o 32 129.1 27.4 92 187.8 39.9 52 246.5 52.4 i3 12.7 02.7 73 71.4 15.2 33 i3o.i 27.7 93 i88.8 4o.i 53 247.5 52.6 i4 13.7 02o.9 74.4 i5.4 34 i3i.i 27.9 94 189.8 40.3 54 248.4 52.8 I5 14.7 o3.i.75 73.4'5.6 35 132.0 28. 95 190.7 4o.5 55 249.4 53.0 i6 15.7 0 3.3 76 74.3 i5.8 36 i33.o 28.3 96 91.7 4o.8 56 250.4 53.2 17'6.6 o3.5 77 75.3 i6.o 37 i34. 28.5 97 192.7 4i.o 57 25i.4 53.4 I8 17.6 03.7' 78 76.3 16.2 38 i35.0o 287 98 193.7 4I.2 58 252.4 53.6 19 i'8.6 o4. 79 77.3 i6.4 39 i36.o 28.9 99 194.7 41.4 59 253.3 53.8 20 19.6 04.2 8o 78.31 6.6 4o 136.9 29.1 200 195.6 4i.6 6o 254.3 54.x I21 2.5 o4.4 8i 79.2 i6.8 i4i 137.9 29.3 201 i96.6 4i.8 261 255.3 54.3 22 2I.5 o4.6 82 80.217.0 42 138.9 29.5 02 197.6 42.0 62 256.3 54.5 17-o~ 42 9i8.7 29.453 23 22.5 o4.8 83 81.2 17.3 43 139.9 29.7 03 198.6 42.2 63 257.3 54.7 24 23.5 05.0 84 82.2 17.5 44 140.9 29.9 o4 199.5 42.4 64 258.2 54.9 25.24.5 05.2 85 83.,I'77 45 i4i.8 3o. i o 200.5 42.6 65 259.2 55.1 26 25.4 o5.4 86 84.17.9 46 142.8 30.4 o6201.5 42.8 66 260.2 554.3 27 26.4 o5.6 87 85.i i8.i 47 143.8 3o.6 07 202.5 43.o 67 261.2 55.5 28 27.4 o5.8 88 86.i i8.3 48 i44.8 3o.8 o8 20.5 43.2 68 262.1 55.7 29 28.4 o6.o 89 87.1 i8.5 49 1z45.7 3i.o 09 204.4 43.5 69 263. 55.9 30 29.3 06.2 90 88.o 187 So 146.7 31.2 io 2o5.4 43.7 70 264.1 56.i 7 3z o604 91 89.0 18.9 ir 47T7 3i.4 211 206'4 43.9 271 265.i 56.3 32 31.3 06.7 92 90.0 Ig.I 52148.7 3i.6 12 207.4 44.1 72 266.1 56.6 33 32.3 06.9 93 91.0 19.3 53 i4g' 3i.8 13 208.3 44.3 73 267.0 56.8 34 33.3 07.1 94 91.9 19.5 54 x5o.6 32.0 r4 209.3 44.5 74 268.0 57.0 35 34.2 07.3 95 92.9 19.8 55 i5i.6 32.2 iS 2I0.3 447 75 269.0 57.2 36 35.2 07.5 96 93.9o 20. 56 152.6 32.4 i6 211.3 44L.9 76 270.0 57.4 37 36.2 07.7 97 94.9 20.2 57'53.6 32.6 17 212.3 45.1 77 270.9 57.6 38 37.2 07.9 98 95.9 20.4 58 i54.5 32.9 i8 213.2 45.3 78 271.9 57.8 39 38.i o8.i 99 96.8 20.6 59'55.5 33. 19 214.2 45.5 79.272.9 58.o 4o139. o8.3 ioO 97.8 20.8 6o'56.5 33.3 20 21i5.245.7 8 273.9 58.2 4i 4o - 8.5 101o 98.8 oi~o 6i 157.5 33.5 221 216.2 45.9 281 274.9 58.4 42 4'. 08.7 02 99.8 2I.2 62'58.5 33.7 22'217.1 46.2 82 275.8 58.6 43 42.1 08.9 o3 100.7 2I14 63 i59.4 33.9 23 218.i 46.4 83 276.8 58.8 44 43.0 09.1 04 101.7 21.6 64 i6o.4 34.1 24 2I9.1 46.6 84 277.8 59.0 45 44.o 09.4 o05 102.7 2.8 65. i6i.4 34.3 25 220.1 46.8 85 278.8 59.3 46 45.o 09.6 o6 1o3.7 22.0 66 162.4 34.5 26 221.1 47.0 86 279.8 59.5 471 46. og.8 07 104.7 22.2 67 i63.4 34.7 27 222.0 47.2 87 280o.7 59. 48 47.0 10.0 o8 105.7 22.5 68 i64.3 34.9 28 223.0 47.4 88 28I.7 59.9 49 47.9 I02 o9 io6.6 22.7 69 i65.3.35.i 29 224.0 47.6 89 282.7 6o.i 50 48.9 io.4 10 107.6 22.9 70'66.3 35.3 30 225.0 4 7.8 90 283.7 6o.3 Si 4. ro4. 7i i i o8.6 23. -171 167.3 35.6 23i 226.0 48.o 291 284.6 6o.5 52 50.9'o.8 12 109.6 23.3 72 168.2 35.8 32 226.9.48.2 92 285.6 60.7,:6i.8x1 22.9:I 53 5x.8 11.0 i3 iio.5 23.5 73 169.2 36.o 33 227.9 48.4 93 286.6 60.9 54 52.8 1II.2 4 1ii.5 23.7 74 170.2 36.2 34 228.9 48.7 94 287.6 6i.i 55 53.8 11.4 IS 112.5 23.9 75 P71.2 36.4 35 229.9 48.9 95 288.6 6i.3 56 54.8 zi.6 i6 113.K5 24. 76 172.2 36.6 36 230.8 49.1 96 289.5 6i.5 57 55.8 11.9 17 ii4.4 24.3 77 173.1 36.8 37'231.8 49.3 97 290.5.61.7 58.56.7 12.1 i8 ii5.4 24.5 78 174.1 37.0 38 232.8 49.5 98 291.5 62.0 591577 12.3 9 i6.4 24.7 79 75. 37.2 39 233.8 49.7 99 292.5 6.2 6o158.7 12.S 20 117.4 24.9 8o 176.1 37.4 40 234.8 49.9 300 293.4 62.4 D ist.I De p. Lat. - ep — I- - iiLat. Diet. Deo.,Lat. Di i-j 3-~ ~a. Diet Dep La. Dist De. [a.ot. [For 78 Degrees TABLE II. [Page 29 Difference of Latitude and Departure for 13 Degrees. Dist. Lat. Dep. DisLLat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. IDep. I T0.0 00.2 6 59.4 13.7 2I 117-9 27.2 i8i 176.4 40.7 241 234.8 54.2 2 OI.9 oo.4 62 60.4 I3.9 22 II8.9 27.4 82 177.3 40. 9 42 235.8 54.4 3 oa.0} o0o.7 63 51.41 I4.2 23 II9.8 27.7 83 1I78.3 41.2 43 236.8 54.7 4 03.9 00.9 64 62.4 I4.4 24 I20.8 27.9 84 I79.3 41.4 44 237.7 54.9 5 o4.9 01.I 65 63.3 I4.6 25 I2I.8 28.I 85 I8o.3 4I.6 45 238.7 55.I 6 o5.8 oi.3 66 64.3 I4.8 26 I22.8 28.3 86 I8I.2 4i.8 46 239.7 55.3 o6.8 oi.6 67 65.3 I5.I 27 I23.7 28.6 87 I82.2 42.I 47 240.7 55.6 8 07.8 oI.8 68 66.3' I5.3 28 I24.7 28.8 88 I83.2 42.3 48 241.6 55.8 9 o8.8 02.0o 69 67.2 15.5 29 125.7 29.o 89 184.2 42.5 49 242.6 56.o Io o09.7 02.2 7o 68.2 I 5.7 30 I26.7 29.2 90 85. I 42.7 5o 243.6 56.2 II I0.7 02.5 7I 69.2 I6.o I3I I27.6 29.5 9I I86. I 43.0 25I 244.6 56.5 1 I 1.7 02.7 72 70.2 I6.2 32 I28.6 29.7 92 I87.1I 43.2 52 245.5 56.7 I3 12.7 02.9 73 7I.i I6.4 33 129.6 29.9 93 88. I 43.4 53 246.5 56.9 14 I3.6 o3. I 74 72.I i6.6 34 i30.6 30.I 94 189.0 43.6 54 247.5 57.I I5 I4.6 o3.4 75 73. I 6.9 35 131.5 3o.4 95 I90.0 43.9 55 248.5 -57.4 I6 I5.6 03.6 76 74.I I7.I 36 I32.5 30.6 96 I9I.o 44.I 56 249.4 57.6 17 i6.6 o3.8 77 75.6 17.3 37 i33.5. 3o0.8 97 Ig92.o 44.3 57 250.4 57.8 I8 I7.5 04. 78 76.0 I7.5 38 i34.5 3i.o 98 I92.9 44.5 58 25I.4 58.o I19 18.5 04.3 79 77.0 I7.8 39 i35.4 3I.3 99 I93.9 44.8 59 252.4 58.3 20 I9.5 o4.5 80 77.9 I8.0o 4o I36.4 3.5 200oo I94.9 45.o 60 253.3 58.5 2I 20.5 04.7 8I 78.9 I8.2 14i I37.4 3I.7 20I I95.8 45.2 261 254.3 58.7 22 2I.4 04.9 82 79.9 i8.4 42 I38.4 3I.9 02 I96.8 45.4 62 255.3 58.9 3 22.4 05.2 83 8o. I 8. 7 43 139.3 32..2 03 97.8 45.7 63 256.3 59.2 24 23.4 o5.4 84 8i.8 I8.9 44 i40.3 32.4 04 198.8 45.9 64 257.2 59.4 25 24.4 o5.6 85 82.8 I9.I 45 I4i.3 32.6 o5 I99.7 46.r 65 258.2 59.6 26 25:.3 o5.8 86 83.8 19.3 46 142.3 32.8 o6 200.7 46.3 66 259.2 59.8 27 26.3 o6. I 87 84.8 9.6 47 143.2 33. I 07 201.7 46.6 67 260.2 6. I 28 27.3 o6.3 88 85.7 19.8 48 I44.2 33.3 o8 202.7 46.8 68 26. I 60.3 29 28.3 o6.5 89 86.7 20.0 49 I45.2 33.5 09 203.6 47.0 69 262. I 60.5 30 29.2 o6.7 90 877 20.o. 50 I46.2 33.7 Io 204.6 47.2 70 263. I 60.7 3i 30.2 07.0 91 88.7 20.5 i5i I47. I 34.o 2II 205.6 47.5 271 264. I 6.o 32 3I.2 07.2 92 89.6 20.7 52 i48. I 34.2 I2 206.6 47-7 72 265.0 61.2 33 32.2 07.4 93. 90.6 20.9 53 49. I 34.4 13 207.5 47.9 73 266.0 6r 4 34 33.1 07.6 94 91.6 21.I 54 i50.o 34.6 14 208.5 48.1 74 267C I6I.6 35 34.i 07.9 95 92.6 21.4 55 i5i.o 34.9 i5 209.5 48.4 75 268.o 6I.9 36 35. I o8-. I 96 93.5 2I.6 56 I52.0 35.I i6 210.5 48.6 76 268.9 62.1 37 36.I o8.3 97 94.5 21.8 57 i53.o 35.3 17 2II.4 48.8 77 269.9 62.3 38 37.0 o8.5 98 95.5 22.0 58 I54.o 35.5 I8 2I2.4 49.0 78 270.9 62.5 39 38.o o8.8 99 96.5 22.3 59 154.9 35.8 19 213.4 49.3 79 27I.8 62.8 40 39.o0 09.0 Ioo 97.4 22.5 60 I55.9 36.o 20 2 4.4 49.5 80 272.8 63.o 4I 39.9 o9.2 101 98.4 22.7 I6I I56.9 36.2 22I 2I5.3 49.7 28I 273.8 63.2 42 40.9 09.4 02 99.4 22.9 62 I57.8 36.4 22 2I6.3 49.9 82 274.8 63.4 43 4I:9 09.7 o3 ioo.4 23.2 63 i58.8 36.7 23 2I7.3 50.2 83 275.7 63.7 44 42.9 9.9 o4 iOI.3 23.4 64 159.8 36.9 24 2I8.3 50.4 84 276.7 63.9 45 43.8 IO. I o5 1S02.3 23.6 65 160.8 37 I 25 219.2 50.6 85 277.7 64.I 46 44.8 io.3 o6 io03.3 23.8 66 1I6I.7 37.3 26 220.2 50.8 86 278.7 64.3 47 45.8 io.6 07 I04.3 24.1 67 162.7 37.6 27 221.2 51.I 87 279.6 64.6 48 46.8 io.8 o8 105.2 24.3 68 163.7 37.8 28 222.2 5I.3 88 280.6 64.8 49 47.7 11.0 o9 IO6.2 24.5 69 I64.7 38.0 29 223.I 5i.5 89 28I.6 65.0 50 48.7 II.-2 0 IO07.2 24.7 70 I65.6 38.2 30 224.1 5I.7 90 282.6 65.2 5I149.7 I.5 II I I08.2 25.o I7I i66.6 38.5 231 225.I 52.0 291 283;5 65.5 52 50.7 II.7 I2 109.1 25.2 72 I67.6 38.7 32 226.I 52.2 92 284.5 65.7 53 5I.6 II.9 13 IIo.I 25.4 73 I68.6 38.9 33 227.0 52.4 93 285.5 65.9 54 52.6 12 I 4 iii. 25.6 74 I69.5 39.1 34 228.0 52.6 94 286.5 66. 55'53.6 12.4 i5 112.1 25.9 75 I70.5 39.4 35 22g.0 52.9 95 287.4 66.4 56 54.6 12.S I'6 I3.o 26.1 76 17I. 39.6 36 230.0o 53. I 96 288.4 66.6 57 55.5 12.8 17 114.0o 26.3 77 I72.5 39.8 37 230.9 53.3 97 289.4 66.8 58 56.5 i3.0 I8 I:5.o 26.5 78 I73.4 4o.o 38 231.9 53.5 98 2904 67.0 59 57.51 3.3 I9 II6.0 265. 79 174.4 40.3 39 232.9 53.8 99 29.3 67.3 60 58.5jI3.5 201 II6.9 27.0 80 I75.4 40.5 4o 233.8 54.o 300 292.3 67.5 Dist. Dep. Lat. Dist. Dep Lat. Dist. Dep. I La Dist.1 Dep. Iat. Dist. Dep. Lat. [For 77 Degrees. Page 30] TABLE II. Difference of Latitude and Departure for 14 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. I 0I.0 00.2 6I 59.2 i4.8 121 117.4 29.3 I8i 175.6 43.8 241 233.8 58.3 2 o01.9 oo.5 62 60.2 15.0 22 I18.4 29.5 82 176.6 44.o 42 234.8 58.5 3 02.9 00oo.7 63 6i. I I5.2 23 II9.3 29.8 83 177.6 44.3 43 235.8 58.8 4 o3.9 OI.0 64 62.1I I5.5 24 120.3 3o.0 o 84 178.5 44.5 44 236.8 59.o 5 04.9 01.2 65 63.I 15.7 25 121.3 30.2 85 179.5 44.8 45 237.7 59.3 6 o5. I oi.5 66 64.o i6.o 26 122,.3 30.5 86 I8o.5 45.o 46 238.7 59.5 7 o6.8 01.7 67 65.o I6.2 27 123.2 3o.7 87 i8i.4 45.2 47 239.7 59.8 8 o7.8 0I.9 68 66.o i6.5 28 I 24. 2 3i.o 88 182.4 45.5 48 240.6 6o.o 9 o8.7 02.2 69 67.0 16.7 29 I25.2 31.2 89 i83.4 45.7 49 241.6 60.2 I0 09.7 02.4 70 67.9 i6.9 3o 126.6 3i.4 9o i84.4 46.o 50 242.6 6o.5 IoI 0.7 02.7 71 68.9 I7.2 I31 I27.1 31.7 i9i i85.3 46.2 251 2.43.5 60.7 12 ii.6 02.9 72 69.9 17.4 32 I28. I 3I.9 92 i86.3 46.4 52 244.5 6i.o I3 I2.6 03.I 73 7o.8 I7.7 33 129.0 32.2 93 I87.3 46.7 53 245.5 6I.2 I4 I3.6 o3.4 74 71.8 17.9 34 i3o.o 32.4 94 188.2 46.9 54 246.5 6i.4 i5 i4.6 o3.6 75 72.8 i8. I 35 i3i.o 32.7 95 I89.2 47.2 55 247.4 61.7 16 15.5 03.9 76 73.7 i8.4 36 132.0 32.9 96 I90.2 47.4 56 248.4 6I.9 I7 i6.5 o4. I 77 74.7 i8.6 37 I32.9 33. I 97 I91. I 47.7 57 249.4 62.2 I8 17.5 o4.4 78 75.7 I8.9 38 133.9 33.4 98 I92.1 47.9 58 250.3 62.4 19 i8.4 o4.6 79 76.7 I9.I 39 34.9 33.6 99 I93. I 48.I 59 25I.3 62.7 20 19.4.o4.8 80 77.6 I9.4 40 T35.8 33.9 200 I94. I 48.4 6o 252.3 62.9 2 20.4 o5. I 8I 78.6 9.6 i4iI I36.8 34 I 20I I95.0 48.6 26I 253.2 63. I 22 2I.3 o5.3 82 79.6 I9.8 42 I37.8 34.4 02 I96.0 48.9 62 254.2 63.4 23 22.3 o5.6 83 80.5 20.1 43 i38.8 34.6 o3 197.0 49. I 63 255.2 63.6 24 23.3 o5.8 84 8I.5 20.3 44 i39.7 34.8 o4 I97.9 49.4 64 256.2 63.9 25 24.3 o6.o 85 82.5 20.6 45 140.7 35.I o5 198.9 49.6 65 257. I 64. I 26 25.2 o6.3 86 83.4 20.8 46 I4I.7 35.3 o6 199.9 49.8 66 258.I 64.4 27 26.2 o6.5 87 84.4 21.0 47 I142.6 35.6 07 200.9 5o. I 67 259.1 64.6 28 27.2 o6.8 88 85.4 21.3 48 143.6 35.8 o8 20I.8 50o. 3 68 260.0 64.8 29 28. I 07.0 89 86.4 21.5 49 i44.6 36.o 09 202.8 50.6 69 261.0 65.I 30 29.1 07.3 90 87.3 21.8 50 i45.5 36.3 1 0o 203.8 50o.8 70 262.0 65.3 3I 30. I0o7.5 9I 88.3 22.0 I5i i46.5 36.5 2II 2o4t 7 5I * 27I 263.o 65.6 32 3i.o 07.7 92 89.3 22.3 52 i47.5 36.8 12 205.7 5i.3 72 263.9 65.8 33 32.o o8.o 93 90.2 22.5 53 I48.5 37.0 13 206.7 5i.5 73 264.9 66.o 34 33.o o8.2 94 9I.2 22.7 54 i49.4 37.3 14 207.6 5I.8 74 265.9 66.3 35 34.o o8.5 95 592.2 23.o 55 I5o.4 37.5 i5 208.6 52.0 75 266. 66.5 36 34.9 o8.7 096 93.1 23.2 56 i5i.4 37.7 i6 209.6 52.3 76 267.8 66.8 37 35.9 0o9.0 97 94.1 23.5 57 I52.3 38.o 17 2I0.6 52.5 77 268.8 67.0 38 36.9 09.2 98 95.I 23.7 58 i53.3 38.2 i8 21I.5 52.7 78 269.7 67.3 39 378 o9.4 99 96.I 24.0 59 i54.3 38.5 19 2I2.5 53.o 79 270.7 67.5 40 38.8 09-7 o100 97.0 24.2 6o 155.2 38.7 20 213.5 53.2 80 27I.7 67.7 41 39.8 o9.9 I0 98.0 24.4 I6i 156.2 38.9 22I 214.4 53.5 281 272.7 68.o 42 -fo.8 I0.2 02 99.0 24.7 62 157.2 39.2 22 2J5.4 53.7 82 273.6 68.2 43 4i.7 I0.4 03 99.9 24.9 63 I58.2 39.4 23 2I6.4 53.9 83 274.6 68.5 44 427 io.6 o4 Io00.9 25.2 64 159.I 39.7 24 2I17.3 54.2; 84 275.6 68.7 45 43.7 10.9 o5 101.9 25.4 65 I6o.i 39.9 25 218.3 54.4 85 276.5 68.9 46 44.6 I i.i o6 102.9 25.6 66 i6I.i 40.2 26 219.3 54.7 86 277.5 69.2 47 45.6 II.4 07 io3.8 25.9 67 162.0 4o.4 27 220.3 54.9 87 278.5 69.4 48 46.6 II.6 o8 Io4.8 26.I 68 i63.o 4o.6 28 221.2 55.2 88 279.4 69.7 9 47.5.9 09og io5.8 26.4 69 i64.o 40.9 29 222.2 55.4 89 280.4 69.9 5o 48.5 12.1 I IO06.7 26.6 70 i65.o 4i.i 30 223.2 55.6 g0 28I.4 70.2 5I 49.5 I2.3 III 107.7 26.9 171 I65.9 4i.4 231 224.i 55.9 29I 282.4 70.4 52 50o.5 12.6 12 108.7 27.-1 72 I66.9 41.6 32 225.I 56.i 92 283.3 70.6 53 5i.4 12.8 I3 I09.6 27.3 73 167.9 4I.9 33 226.I 56.4 93 284.3 70.9 54 52.4 I3.i I4 no.6 27.6 74 i68.8 42.I 34 227.0 56.6 94 285.3 71.1 S5 53.4 I3.3 i5 I!I.6 27.8 75 169.8 42.3 35 228.0 56.9 95 286.2 7.4 56 54.3 i3.5 i6 112.6 28.I 76 170.8 42.6 36 229.0 57.1 96 287.2 71.6 57 55.3 i3.8 17 II3.5 28.3 77 171.7 42.8 37 230.0 57.3 97 288.2 71.9 58! 56.3 i4.o I8 ii4.5 28.5 78 172.7 43.i 38 230.9 57.6 98 289.1 72.1 59 57.2 i4.3 19 ii5.5 28.8 79 I73.7 43.3 39 231.9 57.8 99 290.1 72.3 60 58.2 14.5 20 ii6.4 29.0 8 74.7 43.5 4o 232.9 58.i 3oo 291.1 72.6 Dlist.I Dep. Lat. Dist., Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dei. Lat. [For 76 Degrees. TABLE II. [Page 31 Difference of Latitude and Departure for 15 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. I 0o 0.3 6I 58.9 I5.8 121 II6.9 3I.3 I8I 174.8 46.8 241 232.8 62.4 2 OI.9 oo.5 62 59.9 I6.0 22 117.8 3I.6 82 175.8 47.1 42 233.8 62.6 3 o2.9 oo.8 63 60.9 I6.3 23 118.8 3I.8 83 176.8 47.4 43 234.7 62.9 4 o3. O. 64 61.8 I6.6 24 I 19.8 32.I 84 177.7 47.6 44 235.7 63.2 5 o4.8 oI.3 65 62.8 i6.8 25 I20.7 32.4 85 I78.7 47.9 45 236.7 63.4 6 05.8 oi.6 66 63.8 7. I 26 121.7 32.6 86 I79.7 48. I 46 237.6 63.7 7 o6.8 oi.8 67 64.7 17.3 27 I22.7 32.9 87 80o.6 48.4 47 238.6 63.9 8 07.7 02.1 68 65.7 17.6 28 123.6 33. I 88 I8i.6 48.7 48 239.5 64.2 9 o8.7 02.3 69 66.6 17.9 29 I24.6 33.4 89 I82.6 48.9 49 240. F 64.4 o1 09.7 02.6 70 67.6 i8. i 30 125.6 33. 90o I83.5 49.2 50 24i.5 64.7 II io.6 02.8 71 68.6 I8.4 i3i T26.5 33.9 I91 i84.5 49.4 251 242.4 65.o 12,I.6 o3.I 72 69.5 18.6 32 127.5 34.2 92 i85.5 49.7 52 243.4 65.2 I3 I12.6 03.4 73 70.5 18.9 33 128.5 34.4 93 I86.4 5o.o 53 244.4 65.5 14 I3.5 o3.6 74 71.5 19.2 34 I29.4 34-7 94 187.4 50.2 54 245.3 65.7 I5 I4.5 o3.9 75 72.4'9.4 35 I3o.4 34.9 95 I88.4 50.5 55 246.3 66.o I6 15.5 04.i 76 73.4 19.7 36 I3i.4 35.2 96 I89.3 50.7 56 247.3 66.3 17 I6.4 o044 77 74.4 19.9 37 132.3 35.5 97 I90.3 5i.o 57 248.2 66.5 I8 17.4 04.7 78 75.3 20.2 38 I33.3 35.7 98 191.3 5I.2 58 249.2 66.8 I9 i8.4 04.9 79 76.3 20.4 39 i34.3 36.o 99 Ig2.2 5I.5 59 250.2 67.0 20 I9.3 05.2 80 77.3 20.7 40 I35.2 36.2 200 I93.2 5i.8 60 251.1 67.3 21 20.3 o5.4 8I 78.2 21.0 14I I36.2 36.5 20oi 94.2 52.0 261 252.I 67.6 22 21.3 05.7 82 79.2 2I.2 42 137.2 36.8 02 195.1 52.3 62 253.1 67.8 23 22.2 o6.o 83 80.2 21.5 43 I38.i 37.0 o3 I96.1 52.5 63 254.0 68.I 24 23.2 06.2 84 8i.i 2I.7 44 139.1 37,3 o4 197.0 52.8 64 255.0 68.3 25 24.1 o6.5 85 82.1 22.0 45 I4o.i 37.5 o5 98.0o 53.1 65 256.o 68.6 26 25.1 06.7 86 83.I 22.3 46 I4i.o 37.8 o6 I99.0 53.3 66 256.9 68.8 27 26.I 07.o 87 84.o 22.5 47 I42.o 38.o 07 199.9 53.6 67 257.9 69.I 28 27.0 07.2 88 85.0 22.8'48 I43.o 38.3 o8 200.9 53.8 68 258.9 69.4 29 28.o 07.5 89 86.o0 23.o 49 43.9 38.6 o9 201.9 54.i 69 g59.8 69.6 30 29.0 07.8 go 86.9 23.3 50 I44.9 38.8 I0 202.8 54.4 70 60o.8 69.9 3I 29.9 o08.0 91 87.9 23.6 I5I I45.9 39.I 2I 203.8 54.6 271 26i.8 70.I 32 30.9 o8.3 92 88.9 23.8 52 146.8 39.3 I2 204.8 54.9 72 262.7 70.4 33 31.9 o8.5 93 899.8 24. 53 147.8 39.6 I3 205.7 55.1 73 263.7 70.7 34 32.8 o8.8 94 90.8 24.3 54 i48.8 39.9 I4 206.7 55.4 74 264.7 70.9 35 33.8 o9. 95 91.8 24.6 55'49.7 40oI I5 207.7 55.6 75 265.6 7I.2 36 34.8 09.3 96 92.7 24.8 56 I50.7 40.4 i6 208.6 55.9 76- 266.6 71.4 37 35.7 og09.6 97 937 25. 57 151.7 40.6 17 209.6 56.2 77 267.6 71.7 38 36.7 09.8 98 94.7 25.4 58 152.6 40.9 i8 2I0.6 56.4 78 268.5 72.0 39 37.7 10.1 99 95.6 25.6 59 i53.6 41.2 I9 21I.5 56.7 79 269.5 72.2 40 38.6 Io.4 Ioo 96.6 25.9 60 I54.5 41.4 20 212.5 56.9 80 270.5 72.5 4I 39.6 "i0.6 o10 97.6 26.I i6 1I55.5 4I.7 221 2I3.5 57.2 281 271.4 72.7 42 40.6 10.9 02 98.5 26.4 62 I56.5 41.9 22 214.4 57.5 82 272.4 73.0 43 4I.5 ii. 03 99.5 26.7 63 157.4 42.2 23 2I5.4 57.7 83 273.4 73.2 44 42.5 rI.4 o4 Ioo.5 26.9 64 i58.4 42.4 24 2I6.4 58.o 84 274.3 73.5 45 43.5 ii.6 o5 io.4 27.2 65 I59.4 42.7 25 217.3 58.2 85 275.3 73.8 46 44.4 II.9 o6 102.4 27.4 66 i60.3 43.o 26 218.3 58.5 86 276.3 74.0 47 45.4 I2.2 07 o03.4 27.7 67 i61.3 43.2 27 219.3 58.8 87 277.2 74.3 48 46.4 12.4 o8 io4.3 28.o 68 I62.3 43.5 28 220.2 59.o 88 278.2 74.5 49 47.3 12.7 og io5.3 28.2 69 I63.2 43.7 29 221.2 59.3 89 279.2 74.8 50 48.3 12.9 IO Io6.3 28.5 70 I64.2 44.o 30 222.2 59.5 90~ 28.I 75.1 51 49.3 13.2 III 107.2 28.7 171 i65.2 44.3 23I 223.1 59.8 291 281.I 75.3 52 50.2 i3.5 12 o108.2 29.0 72 i66.1 44.5 32 224.1I 60.o 92 282.1 75.6 53 51.2 13.7 I3 109. I29.2 73 167.1 44.8 33 225.1 60.3 93 283.0 75.8 54 52.2 i4.o'4 I 0.1I 29.5 74 i68.1 45.o 34 226.0 60.6 94 284.0 76.1 55 53.1 14.2 i5,111. 29.8 75 I69.0 45.3 35 227.o 6o.8 95 284.9 76.4 56 54.1 I4.5 x6 112.o 3o.o 76 170.0 45.6 36 228.o 6i.i 96 285.9 76.6 57 55.I i4.8 17 II3.0 30.3 77 171.0 45.8 37 228.9 6i.3 97 286.9 76.9 58 56.o i5.0 i8 ii4.o 30.5 78 171.9 46.I 38 229.9 6i.6 98 287.8 77.1 59 57.0 5.3 I9 114.9 30.8 79 172.9 46.3 39 230. 6.9 99 288.8 77.4 60 58.o i5.5 20 5.9 3i.i 80 173.9 46.6 4o 23.8 62.I 300 289.8 77.6.1 40 0 _8 _. 6 2.1 Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. 1Lat. Dist. Dep. Lat. Dist. Dep. Lat. [For 75 Degrees. Page 32] TABLE II. Diference of Latitude and Departure for 16 Degrees.|Lt|De.Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. I Oi.0 oo.3 6i 58.6 i6.8 I2I i16.3 33.4 i8i i74.0 49.9 924i 23I.7 66.4 2 OI.9 ~ o.6 62 59.6 I7.I 22 1I7.3 33.6 82 174.9 50.2 42 232.6 66.7 3 G2.9 30.8 63 6o.6 I7.4 23 I18.2a 33.9 83 J75.9 5o.4 43 233.6 67.0 4 o3.8 oi.i 64 6i.5 I7.6 24 119.2 34.2 84 I76.9 50.7 44 234.5 67.3 5 o4.8 oi.4 65 62.5 I7.9 25 i20.2 34.5 85 177.8 5i.o 45 235.5 67.5 6 o5.8 o01.7 66 63.4 I8.2 26 I2I1. 34.7 86 178.8 5i.3 46 236.5 67.8 7 o6.7 01.9 67 64.4 i8.5 27 122. I 35.o 87 I79.8 5i.5 47 237.4 68.i 8 07.7 02.2 68 65.4 18.7 28 I23.o 35.3 88 I80.7 5i.8 48 238.4 68.4 9 o8.7 02.5 69 66.3 I9.0 29 I24.o 35.6 89 I8I.7 52. I 49 239.4 68.6 O og9.6 02.8 70 67.3 I9.3 Oo 125.0 35.8 9go I82.6 52.4 50 240.3 68.9 II io.6 o3.o 7W 68.2 19.6 I3I I25.9 36.i i9I I83.6 52.6 251 24i.3 69.2 12 I 1.5 O3.3 72 69.2 Ig9.8 32 I26.9 36.4 92 i84.6 52.9 52 242.2 69.5 I3 12.5 o3.6 73 70.2 20.I 33. 127.8 36 7 93 i85.5 53.2 53 243.2 69.7 I4 I3.5 o3.9 74 7I.I 20.4 34. 128.8 36.9 94 i86.5 53.5 54 244.2 70o.0 i5 I4.4 o4.xI 75 72.1 20.7 35 129.8 37-2 95 I87.4 53.7 55 245. I 70.3 i6 i5.4 o4.4 76 73.1. 20.9 36I07 36 37 37.5 96 i88.4 54.o 56 246.I 70.6 17 I6.3 04.7 77 74.0 2I.2 37 I31.7 37.8 97 i89.4 54.3 57 247.0 70.8 I8 17.3 05.0 78 75.0 21.5 38 132.7 38.o 98 I90.3 54.6 58 248.o 71.I I9 i8.3 o5. 2 79 75.9 21.8 39 i33.6 38.3 99 I9I.3 54.9 59 249.0 71.4 20 54.9 60 249.9 71.7 20 19.2 o5.5 80 76.9 22.I 4o i34.6 38.6 200 2.3 55. 6 2499 7.7 2I 20.2 o5.8 8I 77.9 22.3 i4i I35.5 38.9 201 193.2 55.4 26I 250.9 71.9 22 21.1 o6.i 82 78.8 22.6 42 i36.5 39.I 02 I94.2 55.7 62 25I.9 72.2 23 22.I o6.3 83 79.8 22.9 43 i37.5 39.4 03 I95.I 56.o 63 252.8 72.5 24 23.I o6.6 84 80.7 23.2 44 I38.4 39..7 04 I96.I 56.2 64 253.8 72.8 25i24.o 06.9 85 8I.7 23.4 45 I39.4 40.o o5 I97. i 56.5 65 254.7 73.o 26 25.o 07.2 86 82.7 23.7 46 4o.3 40.2 o6 198.0 56.8 66 255.7 73.3 27J26.o 07.4 87 83.6 24.o 47 i4i.3 40.5 07 199.0 57.I 67 256.7 73.6 28;26.9 07.7 88 84.6 24.3 48 I42.3 4o.8 o8 i99.9 57.3 68 257.6 73.9 29 127.9 o8.o 89 85.6 24.5 49 I43.2 4i.z 09 200.9 57.6 69 258.6 74.I 3o 28.8 o8.3 go 86.5 24.8 50o x44.2 4I.3 Io 201.9 57.9 70 259.5 74.4 3I 129.8 o8.5 9I 87.5 25.I I5I I45.2 4I.6 21I 202.8 58.2 27I 260.5 74.7 ~~~~~~~~~2 21 o9.8 08: 9z 32 30.8 o8.8 92 88.4 25.4 52 I46.i 4I.9 12 203.8 58.4 72 261.5 75.o 33i3r.7 09.1 93 89.4 25.6 53 I47.i 42.2 I3 204.7 58.7 73 262.4 75.2 34 3.7 09.4 94 go.4 25.9 54 I48.o 42.4 4 205.7 59.0 74 263.4 75.5 35i33.6 og.6 95 91.3 26.2 55 x49.0 42.7 I5 206.7 59.3 75 264.3 75.8 36 34.6 og09.9 96 92.3 26.5 56 i5o.o 43.o i6 207.6 59.5 76; 265;3 76.I 37 35.6 IO.2 97 93.2 26.7 57 I50.9 43.3 17 208.6 59.8 77 266.3 76.4 38 36.5 Io.5 98 94.2 27.0 58 I51.9 43.6 i8 209.6 6o.i 78 267.2 76.6 39 37.5 10.7 99 95.2 27.3 59 I52.8 43.8 19 2I0.5 60.4 79 268.2 76.9 40 38.5 iI.o ioo 96.I 27.6 6o i53.8 44.i 20 2II.5 60.6 80 269.2 77.2 4I 394 II.3 IoI 97 27.8 I6i 154.8 44.4 221 2I2.4 60.9 281 270.1 77.5 42 40o4 i i.6 02 98.o 28. I 62 I55.7 44-7 22 2I3.4 6I.2 82 271.1 77.7 43 4i.3 II.9 03 99.0 28.4 63 I56.7 44.9 23 24.4 6I.5 83 272.0 78.o 44 42.3 12.1 o4 o100.0 28.7 64 I57.6 45.2 24 25.3 6I.7 84 273.0 78.3 45 43.3 I 2.4 05 100.9 28.9 65 I58.6 45.5 25 2I6.3 62.o 85 274.o 78.6 46 44.2 12.7 o6 IOI.9 29.2 66 I59.6 45.8 26 217.2 62.3 86 274.9 78.8 47 45.2 I 3.o 07 102.9 29.5 67 i6o.5 46.o 27 218.2 62.6 87 275.9 79.1 48 46.I I3.2 o8 io3.8 29.8 68 i6i.5 46.3 28 2I9.2 62.8 88 276.8 79.4 4 47.I i3.5 og09 io4.8 30.o 69 i62.5 46.6 29 220.I 63.x 89 277.8 79.7 56- 48.i i3.8 IO I05.7 30.3 70 i63.4 46.9 30 221. I 63.4 9go 278.8 79.9 5I 49.0 I4.1 i I I06.7 30.6 I7I i64.4 47.I a3I 222. I 63.7 291 279.7 80.2 52 50o.o0 i4.3 I2 107.7 30.9 72 165.3 47.4 32 223.0 63.9 92 280.7 8o.5 53 50.9 I4.6 I3 io8.6 3I.1 73 I66.3 477 33 224.0 64.2 93 28I.6 8o.8 54 5I.9 I4.9 I4 I09.6 31.4 74 167.3 48.o 34 224.9 64.5 94 282.6 8i.0 5552.9 I5.2 I io.5 31.7 75 I68.2 48.2 35 225.9 64.8 95 283.6 8i.3 56 53.8 I5.4 i6 III.5 32.0 76 I69.2 48.5 36 226.9 65.i 96 284.5 8i.6 57 54.8 I5.7 I7 II2.5 32.2 77 I70.1 48.8 37 227.8 65.3 97 285.5 8I.9 58 55.8 i6.o i8 i i3.4 32.5 78 171.I 49.i 38 228.8 65 6 98 286.5 82.I 59 56.7 I6.3 I9 II4.4 32.8 79 172.1 49.3 39 229.7 65.9 99 287.4 82.4 60 57.7 i6.5 20 Ii5.4 33. I 80 173.0 49.6 4o 230.7 66.2 300 288.4 82.7 Dist. Dep. Lat. Dist. Dep-. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. bist~. P p.1 L 1-15e- -p.I -'i~~e ist.1[F ep... [For 74 Degrees. TABLE II. [Page 33 Difference of Latitude and Departure for 17 Degrees. Dist. Lat. Dlep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. I OI.o oo.3 6i 58.3 I7.8 121 I5.7 35.4 18i I73.I 52.9 241 230.5 7o.5 2 01.9 oo.6 62 59.3 I8. I 22 116.7 35.7 82 I74.0 53.2 42 23I.4 70.8 3 o02.9 00o.9 63 60.2 I8.4 23 11I 7.6 36.o 83 I75.0 53.5 43 232.4 7I.0 4 o3.8 01.2 64 6I.2 I8.7 24 Ii8.6 36.3 84 176.0 53.8 44 233.3 71.3 5 o4.8 oI.5 65 62.2 19.0 25 II9.5 36.5 85 176.9 54.I 45 23A.3 7I.6 6 05.7 oi.8 66 63.i I9.3 26 20o.5 36.8 86 177.9 54.4 46 235.3 7I.9 7 06.7 02.0 67 64.I 19.6 27 I21.5 37.1 87 I78.8. 54.7 47 236.2 72.2 8 07-7 02.3 68 65.o I9.9 28 I22.4 37.4 88 179.8 55.0 48 237.2 72.5 9 o8.6 0o2.6 69 66.0 20.2 29 I23.4 37.7 89 I80.7 55.3 49 238.I 72.8 IO og.6 02.9 70 66.9 20.55 30 I24.3 38.o 9o I81.7 55.6 5o 239.1 73. I I- Io.5 03.2 71 67.9 20.8 i3i I25.3 38.3 I91 182.7 55.8 25I 240.o0 73.4 Ia II.5 o3.5 72 68.9 21.I 32 126.2 38.6 92 I83.6 56.I 52 241.0 73.7 I3 I2.4 o3.8 73 69.8 21.3 33 I27.2 38.9 93 I84.6 56.4 53 24I.9 74.O I4 I3.4 o4.I 74 70.8 21.6 34 I28.I 39.2 94 i85.5 56.7 54 242.9 74.3 I5 I4.3 04.4 75 71.7 2I.9 35 129.I 39.5 95 i86.5 57.0 55 243.9 74.6 i6 I5.3 04.7 76 72.7 22.2 36 i30.i 39.8 96 187.4 57.3 56 244.8 74.8 17 i6.3 o5.o 77 73.6 22.5 37 i3i.O 4o0. 97 188.4 57.6 57 245.8 75.I I8 17.2 o5.3 78 74.6 22.8 38 I32.0 40.3 98 I89.3 57.9 58 246.7 75.4 I9 18.2 o5.6 79 75.5 23. 39 132.9 4o.6 99 I90.3 58.2 59 247.7 75.7 20 19.1 o5.8 80 76.5 23.4 40 133.9 40.9 noo 191.3 58.5 60 248.6 76.0 21 20.I o6.x 8i 77.5 23.7 i4I 34.8 4I.2 20 I92.2 58.8 26I 249.6 76.3 22 2I.0 o6.4 82 78.4 24.0 42 I35.8 4I.5 02 193.2 59.I 62 250.6 76.6 23 22.0 o6.7 83 79.4 24.3 43 I36.8 4I.8 o3 194.z 59.4 63 25i.5 76.9 24 23.0 07.0 84 8o.3 24.6 44 I37.7 42.1 o4 I95.I 59.6 64 252.5 77.2 25 23.9 07.3 85 8I.3 24.9 45 i38.7 42.4 o5 196.o 59.9 65 253.4 77.5 26 24.9 07.6 86 82.2 25.1 46 I39.6 427 o6 19g7.o 60.2 66 254.4 77.8 27 25.8 07.9 87 83.2 25.4 47 I4o.6 43.o 07 198.0 60.5 67 255.3 78.1 28 26.8 08.2 88 84.2 25.7 48 I41.5 43.3 o8 198.9 60.8 68 256.3 78.4 29 27.7 o8.5 89 85.I 26.0 49 I42.5 43.6 09 i99.9 61.i 69 257.2 78.6 30 28.7 o8.8 90o 86.I 26.3 50 i43.4 43.9 IO 2oo.8 6I.4 70 258.2. 78.9 31 29.6 o09.1 91 87.0 26.6 151 I44.4 44.I 211 201.8 61.7 27I 259.2 79.2 32 30.6 09.4 92 88.o 26.9 52 I45.4 44.4 12 202.7 62.o 72 260.1 79.5 33 3i.6 09.6 93 88.9 27.2 53 i46.3 44.7 I3 203.7 62.3 73 261.1 79.8 34 32.5 o9.9 94 89.9 27.5 54 147.3 45.0 I4 204.6 62.6 74 262.0 8o.i 35 33.5 Io.2 95 90o. 27.8 55 i48.2 45.3 I5 205.6 62.9 75 263.o 80.4 36 34.4 10.5 96 9I.8 28.I 56 I49.2 45.6 i6 206.6 63.2 76 263.9 80.7 37 35.4 io.8 97 92.8 28.4 57 i5o.i 45.9 17 207.5 63.4 77 264.9 8i.o 38 36.3 II.I 98 93.7 28.7 58 151.1 46.2 i8 208.5 63.7 78 265.9 8i.3 39 37.3 II.4 99 94.7 28.9 59 I52.i 46.5 I9 209'.4 64.o 79 266.8 8i.6 40 38.3 1I.7 1OO 95.6 29.2 60 i53.o 46.8 20o 21o.4 64.3 80 267.8 8I.9 4I 39.2 12.0 I01 96.6 29.5 I6I I54.0 47.1 221 21I.3 64.6 281 268.7 82.2 42 40.2 I2.3 02 97.5 29.8 62 I54.9 47.4 22 212.3 64.9 82 269.7 82.4 43 4I. I'2.6 o3 98.5 30.1 63 I55.9 47.7 23 213.3 65.2 83 270.6 82.7 44i42.I 12.9 o4 99.5 30.4 64 i56.8 47.9 24 2I4.2 65.5 84 271.6 83.o 45 43.o I3.2 o5 ioo00 30.7 65 157.8 48.2 25 215.2 65.8 85 272.5 83.3 46 44.o I3.4 o6 ioi.4 3i.o 66 I58.7 48.5 26 2I6.I 66.I 86 273.5 83.6 47 44.9 I3.7 07 102.3 3I.3 67 159.7 48.8 27 217.1 66.4 87 274.5 83.9 48 45.9 i4.o o8 io3.3 3i.6 68 160.7 49.I 28, 218.0 66.7 88 275.4 84.2 49 46.9 i4.3 09 104.2 3I.9 69 I6i.6 49.4 29 219.o 67.0 89 276.4 84.5 50 47.8 i4.6 Io 105. 2 32.2 70 62.6 49.7 30 220.0 67.2 90 277.3 84.8 5I 48.8 I4.9 III io6.i 32.5 17I I63.5 5o.o 23I 220.9 67.5 291 278.3 85.i 52 49.7 I5.2 12 107.I 32.7 72 I64.5 50.3 32 221.9 67.8 92 279.2 85.4 53 50.7 I5.5 1I3 Io8.x 33.0 73 165.4: 50..6 33 222.8 68.I 93 280.2 85.7 54 5I.6 I5.8 i4 109.0 33.3 74 i66.4 50.9 34 223.8 68.4 94 281.2 86.o 55 52.6 i6.i I5 Iio.o 33.6 75 167.4 5I.2 35 224.7 68.7 95 282. 86.2 56 53.6 I6.4 i6 1Io.9 33.9 76 i 68..3 5i.5 36 225.7 69.0 283. 86.5 57 54.5 i6.7 I7 11J.9 34.2 77 I69.3 5I.7 37 226.6 69.3 97 284.0o 86.8 58 55.5 17.0 I8 II2.8 34.5 78 170.2 52.0 38 227.6 69.6 98, 285.o 87.1 59 56.4 17.2 I9 ix3.8 34.8 79 171.2 52.3 39. 228.6 69.9 99 285.9 87.4 6o 57.4 I7.5 20 ii4.8 35.i 80 172. 52.6 40 229. 5 70.2 300 286.9 87.7 Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. [For 73 Degrees. 5 Page 34 TABLE II. Difference of Latitude and Departure for 18 Degrees. Dist. Lat. Dep. Dist. Lat. Dep.. Dist. Lat. Dep. Dist.i Lat. Dep. Dist. Lat. Dep. I 01.0 oo.3 6 58.o I8.9 I2I i 5.i 37.4 i8i 172,. 55.9 24I 229.2 74.5 2 OI.9 oo.6 62 59.o I9.2 22 I 6.-o 377 82 173. 56.2 42 230. 2 74.8 3 02.9 oo00.9 63 59.9 19.5 23 117.o 38.o 83 I74.0 56.6 43 23I.1I 75.I 4 03.8 01.2 64 60.9 I9.8 24 17.9 38.3 84 175.0 56.9 44 232.1 75.4 5 o4.8 oi.5 65 6i.8' 20.1 25 1I8.9 38.6 85 175.9 57.2 45 233.0 75.7 6 05.7 01.9 66 62.8 20.4 26 I I9.8 38.9 86 176.9 57.5 46 234.0 76.0 7 o6.7 02.2 67 63.7 20.7 27 120Ao. 39.2 87 177.8 57.8 47 234.9 76.3 8 07.6 02.5 68 64.7 21.0 28 I2I.7 39.6 88 I78.8 58. I 48 235.9 76.6 9 o8.6 o02.8 69 65.6 2I.3 29 I22.7 39.9 89 I79.7 58.4 49 236.8 76.9 10 og.5 o3.i 70 66.6 21.6 3o 123.6 40.2 9o I80.7 58.7 50 237.8 77.3 II Io.5 03.4 7i 67.5 2I.9 i3i'124.6 4o.5 191 181.7 59.0 25I 238.7 77.6 12 11.4 03.7 72 68.5 22.2 32 I25.5 40.8 92 I82.6 59.3 52 239.7 77.9 1 3 12.4 o4.o 73 69.4 22.6 33 I26.5 4I.i 93 I83.6 59.6 53 240.6 78.2 I4 13.3 o4.3 74 70.4 22.9 34 127.4 41.4 94 I84.5 59.9 54 24I.6 78.5 I5 14.3 o4.6 75 71.3 23.2 35 I28.4 4I.7 95 I85.5 6o.3 55 242.5 78.8 I6 I5.2 04.9 76 72.3 23.5 36 129.3 42.0o 9 I86.4 60.6 56 243.5 79.I 7 16.2 o05.3 77 73.2 23.8 37 i3o.3 42.3 97 I87.4 60.,9 57 244.4 79.4 I8 I7.1 o5.6'78 74.2' 24.i 38 13I.2 42..6 98 188.3 61.2 58 245.4 79.7 I9 I8.I 05.9 79 75.1 24.4 39 I32.2 43.o 99 I89.3 6i.5 59 246.3 80.o 2o Ig.o o6.2 80 76.I 24.7 4o I33.1 43.3 200 190.2 6I.8 60 247.3 80.3 21 20.0 o6.5 8I 77.0 25.0 I4I I34.1 43.6 20I 19I.2 62.:I 261 248.2 80.7 22 20.9 o6.8 82 78.0 25.3 42 135.r 43.9 02 192.I 62.4 62 249.2 8I.0 23 21.9 07.1 83 78.9 25.6 43 i36.o 44.2 o3 i93.1 62.7 63 250.I 8. 3 24 22.8 07 4 84 79 9 26.0 44 I37.0 44.5 o4 I94.o 63.o 64 25I.I 8I.6 25 23.8 07.7 85 8o. 26.3 45 137.9 44.8 o5 195.0 63.3 65 252.0 81.9 26 24.7 o8.o 86 8I.8 26.6 46 i38.9 45.i o6 Ig95.9 63.7 66 253.0 82.2 27 25.7 o8.3 87:82.7 26.9 47 I39.8 45.4 07 196.9 64.o 67 253.9 82.5 28 26.6 08.7 88 83.7 27.2 48 i4o.8 45.7 08 I97.8 64.3 68 254.9 82.8 29 27.6 09.o 89 84.6 27.5 49 I41.7 46.o 09 I98.8 64.6 69 255.8 83.I 30 28.5 og09.3 go 85.6 27.8 50 I42.7 46.4 Io 199.7 64 9 70 256.8 83.4 3I 29.5 09.6 91 86.5 28.1r I5: i43.6 46.7 211 200.7 65.2 27I1 257.7 83. 7 32 30.4 09.9 92 87.5 28.4 52 I44.6 47.0 12 201.6 65.5 72 258.7 84.i 33 3I.4 o0.2 93 88.4 28.7 53 i45.5 47.3 I3 202.6 65.8 73 259.6 84.4 34 32.3 Io.5 94 89.4 29.0 54 I46.5 47.6 I4 203.5 66.I 74 260.6 84.7 35 33.3 Io.8 95 9o.4 29.4 55 I47.4 47-9 i5 204.5 66.4 75 26I.5 85.o 36 34.2 11.1 96 91.3 29.7 56. I48.4 48.2 r6 20o5.4 66.7 76 262.5 85.3 37 35.2 11.4 97 92.3 30.0o 57 I49.3 48.5 17 206.4 67.1 77 263.4 85.6 38 36.-I.7 98 93.2 30.3 58 50.3 48.8 I8 207.3 67.4 78 264.4 85.9 39 37. II2.I 99 94.2 3o.6 59 I5I.2 49.I I9 208.3 67.7 79 265.3 86.2 40 38.o 12.4 100 95.x 30.9 60 152.2 49.4 20 209.2 68.o 80 266.3 86.5 4-I 39".o I2.7 IOI 96.i 3I.2 I6i 153. 49.8 221 210.2 68.3 28I 267.2 86.8 4a 39.9 i3..o 02 97.0 3I.5 62 I54.I 5o.I 222II. I 68.6 82 268.2 87.1 43 40.9 i3.3. o3 98.o 3I.8 63 i55.o 5o.4 23 212.1I 68.9 83 269.I 87.5 44 4r.8 i3.6 04 98.9 32.1 64 J 56.o 50.7 24 2I3.o 69.2 84 270.I 87.8 145 42.8 13.9 05 99.9 32.4 65 I56.9 5s.o 25 214.0 69.5 85 27I.1 88.x 46 43.*7 14. 2 o6 IO.8 32.8 66 157.9 5i.3 26 2I4.9 69.8 86 272.0 88.4 47 44.7 i4.5 0o7ioxI.8 33.1 67 i58.8 5i.6 27 215.9 70.1 87 273.o 88.7 48 45.7 I4.8 o8 I02-.7 33.4 68 I59.8 5I.9 28 2I6.8 70.5 88 273.9 89.0 49 46.6 I5.I 09 m03.7 33.7 69 60o.7 52.2 29 217.8 70.8 89 274.9 89.3 50 47.6 i5.5 Io io4.6 34.0 70 161.7 52.5 30 218.7 71.. 90 275.8 89.6 5i 48.5 rI5.8 IiI io5.6 34.3'171 62.6 52.8 23I 2I9.7 71.4 29I 276 8 89.9 52 49.5 i6. I 12 io6.5 34.6 72 i63.6 53.2 32 220.6 71.7 92 277.7 90.2 53 50.4 i6.4 13 I0o7.5 34.9 73 I64.5 53.5 33 221.6 72.0 93 278.7 90.5 54 5I.4 I6.7 i4:Io8.4 35.2 74 i65.5 53.8 34 222.5 72.3 94 279.6 90.9 55 52.3 i7..o I5 ro09.4 35.5 75 x66.4 54. 35 223.5 72.6 95 280.6 91.2 56 153.3 1 7.*3 i6 I:o.3 35.8 76 167.4 54.4 36 224.4 72.9 96 28I.5 9I.5 57 54.2 17.6 I7 III.3 36.2 77 i68.3 54.7 37 225.4 73.2 97 282.5 91.8 58 55.2 17.9 I8 11t2-.2 36.5 78 169.3 55.0 38 226.4 73.5 98 283.4 92a. 59 56.i I18.2 19 11 3.2 36.8 79 170.2 55. 3 39 227.3 73.9 99 284.4 92.4 6o 57.1 i8.5 20 II4.I 37.1 80 171.2 I 55.6 40 228.3 74.2 300 285.3 92.7 Dist. Dep. Lat; Dist. Dep. Let. Dist.| Dep. Lat. Depist. Dstp. Lat. [For 72 Degrees. TABLE II. [Page 35 Difference of Latitude and Departure for 19 Degrees. Dist. Lat. D Dist. bat. Dep. Dist Lt. Dep. Dist. Lat. Dep. Dist. Lat. Dep, I 00.9 oo.3 6i 57.7 19.9 I2I II4..4 39.4 I8I 17I I1 58.9 24I 227.9 78.5 92 I0.9 00.7 62 58.6 20.2 22 1 5.4 39.7 82 172.I 59.3 42 228.8 78.8 3 o02.8 oI.o 63 59.6 20.5 23 I 6.3 4o.o 83 I73.0o 59.6 43 229.8 79.1 4 o3.8 oi.3 64 60.5 2ao0.8 24 117.2 4o.4 84 174.0 59.9 44 230.7 79.4 5 04.7 oi.6 65 6I.5 21.2 25 118.2 40.7 85 I74.9 60.2 45 23I.7 79.8 6 o5.7 02.o 66 62.4 2I.5 26 II9.I 4I.O 86 I75.9 60.6 46 232.6 8o.I 7 o6.6 02.3 67 63.3 21.8 27 120o. 4I.3 87 I76.8 60.9 47 233.5 8o.4 8 07.6 o2.6 68 64.3 22.I 28 I21.0 41.7 88 I77.8 6I.2 48 234.5 80.7 9 o8.5 o02. 69 65.2 22.5 29 122.0 42.o 89 I78.7 6I.5 49 235.4 8i.I Io 09.5 o3.3 7o 66.2 22.8 3o i22. 9 42.3 9go 179.6 6I.9 50 236.4 8I.4 I Iio.4 o3.6 71 67.1 23.I 13 123.9 42.6 I9I I80.6 62.2 251 237.3 81.7 I2 I I.3 03.9 72 68.I 23.4 32 I24.8 43.o 92 I8I.5 62.5 52 238.3 82.0 I3 I2.3 04.2 73 69.0 23.8 33 I25.8 43.3 93 I82.5 62.8 53 239.2 82.4 I4 13.a2 o4.6 74 70.0 24.I 34 i26.7 433.6 94 I83.4 63.2 54 240.2 82.7 I5 I4.2 04.9 75 70.9 24.4 35 127.6 44.-o 95 84.4 63.5 55 241.1 83.0 i6 I5. o5.2 76 7I.9 24.7 36 I28.6 44.3 i6 85.3 63.8 56 242. I 83.3 I7 i6. i o5.5 77 72.8 25. 37 I29.5 44.-6 97 i86.3 64. I 57 243.0 83.7 18 I7.0 05.9 78 73.8 25.4 38 i3o.5 44.9 98 187.2 64.5 58 243.9 84.o i9 I8.0 06.2 79 74.7 25.7 39 i3i.4 45.3 99 188.2 64.8 59 244.9 84.3 20 18.9 o6.5 80 75.6 26.0 4o I32.4 45.6 200 189.1 65.I 60o. 245.8 84.6 2I I9.9 o6.8 8I 76.6 126.4 1I33.3 45.9 20I I90.0 65.4 -26I 246.8 85.o 22 20.8 07.2 82 77.5 26.7 42 I34.3 46.2 02 I91.0 65.8 62 247.7 85.3 23 21.7 07.5 83 78.5 27.0 43 I35.2 46.6 03 19g.9 66. 63 248.7 85.6 24 22.7 07.8 84 79.4 27.3 44 I36.2 46.9 04 192.9 66.4 64 249.6 86. o 25 23.6 o8.I 85 80.4 27.7 45 I37.1 47.2 o5 I93.8 66.7 65 250.6 86.3 26 24.6 o8.5 86 8i.3 28.o 46 i38.o 47.5 o6 I94.8 67.1 66 25I.5 86.6 27 25.5 o8.8 87 82.3 28.3 47 139.0 47-9 07 I957 67.4 67 252.5 86.9 28 26.5 og09.1 88 83.2 28.7 48 1I39.9 48.2 o8 I96.7 67.7 68 253.4 87.3 29 27.4 09.4 89 84.2 29.o 49 I40.9 48.5 09og I97.6 68.o 69 254.3 87.6 30 28.4 o09.8 9 85.i 29.3 5o i4i.8 48.8 io 9g8.6 68.4 70 255.3 87.9 3I 29.3 IO.I gI 86.o 29.6 I5.I I142.8 49.2 2II I99.5 68.7 271 256.2 88.2 32 3o.3 Io.4 92 87.0 30.o 52 143.7 49.5 12 200.4 69.0 72 257.2 88.6 33 3[.2 IO.7 93 87.9 30.3 53 I44.7 49.8 I3 201.4 69.3 73 258.I 88.9 34 32.1 II.I 94 88.9 30o.6 54 i45.6 50.I 14 202.3 69.7 74 259.I 89.2 35 33.I II.4 95 89.8 30..9 55.46.6 50.5 I5 203.3 70.0 75 260.0 89.5 36 34.o Ii7 96 go.8 3I.3 56 147.5 5o.8 i6 204.2 70.3 76 26.0 89.9 37 35.o 12.0 97 9187 3i.6 57 i48.4 5I.i 17 205.2 70.6 77 26I.9 90.2 38 35.9 8 2.4 98 927 31.9 58 I49.4 51.4 i8 206.I 71.0 78 262.9 go.5 39 36,9 12.7 99 93.6 32.2 59 50o.3 5i.8 19 207.1 71.3 79 263.8 90.8 40 37.8 I3.o 1oo 94.6 32.6 60 i5I.3 52.I 20 208.0 71.6 80 264.7 91.2 4I 38.8 13.3 ioI 95.5 32.9 I6i I52.2 52.4 221 209.0 72.0 28I 265.7 gI.5 42 39-7'I3.7 02 96.4 33.2 62 153.2 52.7 22 209.9 72.3 82 266.6 91.8 43 4o.7 14.0 03 97.4 33.5 63 I54.I 53.I 23 210.9 72.6 83 267.6 92.1 44 4r.6 14.3 o4 98.3 33.9 64 i55.I 53.4 24 2II.8 72.9 84 268.5 92.5 45 42.5 I4o7 05 99.3 34.2 65 I56.o 53.7 25 212.7 73.3 85 269.5 92.8 46 43.5 i5.o0 o6 100.2 34.5 66 I57.o 54.o 26 2I3.7 73.6 86 270.4 93.I 47 44.4 io.3 07 3 01.2 34.8 67 157.9 54.4 27 2I4.6 73.9 87 271.4 93.4 48 45.4 i5.6 o8 102.I 35.2 68 i58.8 54.7 28 2I5.6 74.2 88 272.3 93.8 49 46.3 i6.0 09 io3.i 35.5 69 159.8 55.o 29 216.5 74.6 89 273.3 94.I 50 47.3 i6.3 Io 0o4.o 35.8 70 1I60.7 55.3 30 2I7.5 74. 9 90 274.2 94.4 5I 48.2 I6.6 iii Io05.o 36.I 171 I61i.7 55.7 23I 2I8.4 75.2 291 275.I 94.7 52 49.2 I6.9 I2 I05.9 36.5 72 162.6 56.o 32 2I9.4 75.5 92 276.I 95.1 53 5o.I 17.3 I3 io6.8 36.8 73 t63.6 56.3 33 220.3 75.9 93 277.0 95.4 54 5t.r 17.6 I4 io.8 37.1 74 i64.5 56.6 34 221.3 76.2 94 278.0 95.7 55 52.o I7.9 I5 io08.7 37.4 75 165.5 57.o 35 222.2 76.5 95 278.9 96.o 56 52.9 I8.2 i6 109-.7 378 76 I66.4 57.3 36 223.1 76.8 96 279.9 98.4 57 53.9 i8.6 17 io.6 38.1 77 167.4 57.6 37 224. 77.2 97 280.8 90.7 58 54.8 i8.9 I-8 11.6 38.4 78 i68.3 58.o 38 225.o 77.5 98 28I.8 97.0 59 55.8 19.2 19 IIa25 38.7 79 I69.2 58.3 39 226.0 77.8 99 282.7 97.3 60 56.7 i. 5 20 I i 3.5 39.I 8o 170.2 58.6 4o 2026.9 78.1 300 283.7 97.7 Dist. ep. Lat. Dist. Dep. I Lat. Dist. Dp. at. Dist. Dep. Lat Dist. Dep. Lat. [For 71 Degrees. Page 36] TABLE II. Difference of Latitude and Departure for 20 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dis t. Dep. D',st. Lat. Dep. Dist. Lat. D ep. I oo.gl9 oo.3 6i 57.3 20.9 I2I II3.7 4I.4 18I 170.1 6I.9 24I 226.5 82.4 2 01.9 00.7 62 58.3 2I.2 22 II4.6 41.7 82 171.0 62.2 42 227.4 82.8 3 02.8 oI.o 63 59.2 21.5 23 II5.6 42.1 83 172.0162 6 43 228.3 83.I 4 o3.8 o 1.4 64 6o.1 21.9 24 iI6.5 42.4 84 172.9 62.9 44 229.3 83.5 5 04.7 01.7 65 61. 22.2 25 1II7.5 42.8 85 I73.8 633 451230.2 83.8 6 o5.6 02.1 66 62.0 22.6 26 118.4 43. 86 174.8 63.6 46 23I.2 84.I 7 o6.6 02.4 67 63.o 22.9 27 II9.3 43.4 87 I75.7 64.o 47 232.I 84.5 8 D7.5 02.7 68 63.9 23.3 28 I20.3 43.8 88 1I76.7 64.3 48 233.o 84.8 9 o8.5 o3.I 69 64.8 23.6 29 I21.2 44.I 89 I 77.6 64.6 49 234.0 85.2 Io og.4 o3.4 7o 65.8 23.9 30 I22.2 44.5 90 178.5 65.o 50 234.9 85.5 II Io.3 o3.8 7I 66.7 24.3 I3I T23.1 44.8 19I 179.5 65.3 25I 235.9 85.8 12 II.3 o4.I 72 67.7 24.6 32 I24.0 45.I 92 i80.4 65.7 52 236.8 86.2 I3 12.2 o4.4 73 68.6 25.o 33 I25.0 45.5 93 I81.4 66.0o 53 237.7 86.5 I4 13.2 o4.8 74 69.5 25.3 34 I25.9 45.8 94 I82.3 66.4 54 238.7 86.9 i5 I4.I o5.I 75 70.5 25.7 35 i26.9 46.2 95 183.2 66.7 55 239.6 87.2 i6 i5.o 05.5 76 71.4 26.o 36 I27.8 46.5 96 I84.2 67.0 56 240.6 87.6 17 6.o0 o5.8 77 72.4 26.3 37 I28.7 46.9 97 i85.i 67.4 57 24I.5 87.9 I8 16.9 o6.2 78 73.3 26.7 38 I29.7 47.2 98 86':1 67-7 58 242.4 88.2 19 17.9 o6.5 79 74.2 27.0 39 I30.6 47.5 5 99 I87.o 68.I 59 243.4 88.6 20 I8.8 o6.8 80 75.2 27.4 40 13i.6 47.9. 200 I87.9 68.4 6o 244.3 88.9 21 I9.7 07. 8I 76.1 27.7 I4I 132.5 48.2 20I I88.9 68.7 26I 245.3 89.3 22 20.7 07.5 82 77.1 28.o 42 i33.4 48.6 02 189.8 69.I 62 246.2 89.6 23. 2.6 07.9 83 78.0 28.4 43 I34.4 48.9 o3 190o.8 69.4 63 247.1 9o.o0 24 22.6 o8. 2 84 78.9 28.7 44 i35.3 49.3 04 191.7 69.8 64 248.I 90.3 25 23.5 o8.6 85 79.9 29.I 45 i 36.3'49.6 o5 I92.6 70.I 65 249.0 o90.6 26 24.4 o8.9 86 80.8 29.4 46 137.2 49.9 o6 193.6 70.5 66 250.o 9I.O 27 2.5.4 09.2 87 8I.8 29.8 471 38.I 50.3 07 194.5 70.8 67 250.9 91.3 28 26.3 og.6 88 82.7 3o0.I 48 139.I 50.6 o8 195.5 71.I 68 251.8 9I.7 29 27.3 09.9 89 83.6 3o0.4 49 4o5.o 5i.o 09 196.4 71.5 69 252.8 92.0 30 28.2 IO.3 go 84.6 30.8 50 I41.0 51.3 IO 197.3 7I.8 70 253.7. 92.3 31 29.I io.6 91 85.5 3I.1 i51i I4I.9 5I.6 2II I98.3 72.2 271 254.7 92.7 32 3o.I 10.9 92 86.5 3i.5 52 I42.8 52.0 12 199.2 72.5 72 255.6 93.0 33 3I.o.3 93 87.4 31.8 53 x43.8 52.3 3 200oo. 72.9 73 256.5 93.4 34 3I.9 i i.6 94 88.3 32.1 54 i44.7 5 2.7 I4 20I.I 73.2 74 257.5 93.7 35 32.9 12.0 95 89.3 32.5 55 i45.7 53.0 1 5 202.0 73.5 75 258.4 94.I 36 33.8 I2.3 96 90.2 32.8 56 I46.6 53.4 i6 203.0 73.9 76 259.4 94.4 37 34.8 12.7 97 91.2 33.2 57 147.5 53.7 17 203.9 74.2 77 260.3 94.7 38'35.7 i3.0 98 92.I 33.5 58 I48.5 54.o 8 20o4.9 74.6 78 261.2 95.1 39 36.6 i3.3 99 93.0 33.9 59 149.4 54.4 9 20o5.8 74.9 79 262.2 95.4 40 37.6 I3.7 100 94.0 34.2 60 I5o.4 54.7 20 206.7 75.2 8o 263.I 95.8 4I1 8.5 4o 94.9 34.5 16i 151.3 55.1 221 207.7 75.6 281 264.I 96.I 42 39.5 14.4 02 95.8 34.9 62 152.2 55.4 22 208.6 75.9 8 2 265.0 96.4 43 40.4 I4.7 o3 96.8 35.2 63 153.2 55.7 23 209.6 76.3 83 265.9 96.8 44 4I.3 I5.o o4 97.7 35.6 64 I54.I 56.I 24 2io.5 76.6 84 266.9 97.1 45 42.3 15.4 o05 98.7 35.9 65 I55.0 56.4 25 2II.4 77.0 85 267.8 97.5 46 43.2 I5.7 o6 99.6 36.3 66 I56.o 56.8 26 2I2.4 77.3 86 268.8 97.8 47 44.2 i6.i 07 Ioo.5 36.6 67 I56.9 57.I 27 2I3.3 77.6 87 269.7 98.2 48 45.I 16.4 o8 Ioi.5 36.9 68 i57.9 57.5 28 2I4.2 78.o 88 270.6 98.5 49 46.o 16.8 og I02.4 37.3 69 i58.8 57.8 29 215.2 78.3 89 271.6 98.8 50o 47.o 17.I Io o3.4 37.6 70 i59.7 58. 30 2I6.I.78.7 9 272.5 99.2 5i 47.9 17.4 iii Io4.3 38.o i71 I60.7 58.5 23I 217.1 79.0 291 273.5 99.5 52 48. 17.8 12 105.2 38.3 72 i61.6 58.8 32 2I8.0 79.3 92 274.4 99.9 53 49. I18.1 13 Io6.2 38.6 73 162.6 59.2 33 2I8.9 79.7 93 275.3 I00.2 54 50.7 i8.5 4 107.1 39.o 74 I63.5 59.5 34 219.9 8o.o 94 276.3 ioo.6 55 51.7 i8.8 I5 io8. I 39.3 75 x64.4 59.9 35 220.8 8o.4 95 277.2 100.9 56 52.6 I9. 2 6 109.o 39.7 76 i65.4 60.2 36 221.8 80.7 96 278.I 101.2 57 53.6 I9.5 17 I09.9 40.o 77 i66.3 6o.5 37 222.7 8i.i 97 279.1 ioi.6 58 54.5 19.8 I8 I1o.9 40.4 78 I67.3 60.9 38 223.6 8I.4 98 280.0 IOI.9 59 55.4 20.2 1 9 iii.8 40.7 79 168.2 6I.2 39 224.6 81.7 99 28I.o I02.3 60 56.4 20.5 20 112.81 4.o 801 69. 6i.6 40 225.5 82.1 3oo 28I.9 102.6 DistI Dep., Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. [For 70 Degrees. ~._...,.. TABLE II. [Page 37 Difference of Latitude and Departure for 21 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. I 00-9 oo.49 6i 56.9 2I.9 12I 113 I.0 43.4 I8i I69.0 64.9 241 225.0 86.4 2 0.9 00.72 57.9 22.2 22 II3.9 43.7 82 I69.9 65.2 42 225.9 86.7 3 02.8 OI. 63 58.8 22.6 23 ii4.8 44. 83 170.8 65.6 43 226.9 87.I 4 o3.7 oi.4 64 59.7 22.9 24 I I5.8 44.4 84 171.8 65.9 44 227.8 87.4 5 o4-7 Oi.8 65 60.7 23.3 25 II6.7 44.8 85 172.7 66.3 45 228.7 87.8 6 o5.6 02.2 66 6I.6 23.7 26 11 7.6 45.2 86 173.6 66.7 46 229.7 88.2 7 o6.5 02.5 67 62.5 24.0 27 ii8.6 45.5 87 174.6 4567. 47 230.6 88.5 8 07.5 02.9 68 63.5 24.4 28 I1g.5 45.9 88 I75.5 67.4 48 231.5 88.9 9 o8.4 03. 2 69 64.4 24.7 29 20.4 46.2 89 I76.4 67-7 49 232.5 89.2 o og09.3 o3.6 7o 65.4 25. I 3o I2I.4 46.6 90 I77.4 68. 50 233.4 89.6 I i 1o.3 o039 71 66.3 25.4 I3I 122.3 46.9 191 178.3 68.4 25I 234.3 90.0 I2 11.2 0o4.3 72 67.2 25.8 32 I23.2 47.3 92 179.2 68.8 52 235.3 90.3 I 3 2. I o04.7 73 68.2 26.2 33 I 24.2 47. 7 93 180.2 69.2 53 236 2 90.7 14 I3. o5.0 74 69.I 26.5 34 125.1 48.o 94 I8I. 69.5 54 237. I 9.0 15 14. o05.4 75 70.0 26.9 35 I26.o 48.4 95 182.0 69.9 55 238.1 91.4 I6 I4.9 05.7 76 71.0 27.2 36 127.0 48.7 96 I83.0 70.2 56 239.o 91.7 1 7 5.9 o6. I 77 7I.9 27.6 37 I279 49. I 97 i83.9 70.6 57 239.9 92.1 I8 i6.8 o6.5 78 72.8 28.0 38 128.8 49. 98 I84.8 7I.0 58 240.9 92.5 19 17.7 o6.8 79 73.8 28.3 39 129.8 49.8 99 I85.8 71.3 59 24I.8 92.8 20 18.7 07.2 80 74.7 28.7 4o I30.7 50.2 200 I86.7 7I.7.7 242.7 93.2 2I I9.6 07.5 8I 75.6 29.o 141 i31.6 50.5 201 I87.6 72.0 261 243.7 93.5 22 20.5 07.9 82 76.6 29.4 42 132.6 50.9 02 I88'.6 72.4 62 244.6 93.9 23 2I.5 08.2 83 77.5 29.7 43 i33.5 5I.2 o3 i89.5 72.7 63 245.5 94.3 24 22.4 o8.6 84 78.4 30. I 44 I34.4 51.6 o4 190.5 73.1 64 246.5 94.6 25 23.3 o9.0 85 79.4 30.5 45 i35.4 52.0 o5 I9I.4 73.5 65 247.4 95.0 26 24.3 09.3 86 80.3 3o0.8 46 i36.3 52.3 o6 192.3 73.8 66 248.3 95.3 27 25.2 09.7 87 8I.2 31.2 47 I37.2 52.7 07 I93.3 74.2 67 249.3 95.7 28 26.I Io.o 88 82.2 3i.5 48 138.2 53.o o8 194.2 74.5 68 250.2 96.0 29 27. I o.4 89 83.1 31.9 49 139. I 53.4 09 I95.I 74.9 69 251.1 96.4 30 28.o 10.8 9o 84.o 32.3 50 i40.o 53.8 I0 196.1 75.3 70 252. I 96.8 31 28.9 II.I 91 85.o 32.6 151 I4i.o 54.I 211 I97.0 75.6 271 253.0 97.I'32 29.9 I1.5 92 85.9 33.0 52 I41.9 54.5 12 197.9 76.0 72 253.9 97.5 33 30.8 54.8 93 86.8 733.3 53 142.8 54.8 13 1989 73 2549 97.8 34 31.7 12.2 94 87.8 33.7 54 I43.8 55.2 14 I99.8 76.7 74 255.8 98.2 35 32.7 12.5 95 88.7 34.o 55 144.7 55.5 i5 200.7 77-0 75 256.7 98.6 36 33.6 12.9 96 89.6 34.4 56 i45.6 55.9 I6 201.7 77.4 76 257 7 98.9 37 34.5 3.3 97 90.6 34,8 57 I46.6 56.3 1z7 202.6 77.8 77 258.6 99.3 38 35.5 i3.6 98 91.5 35.I! 58 I47.5 56.6 I8 203.5 78.I 78 259.5:99.6 39 36.4 I4.0 99 92.4 35.5 59 148.4 57.0 19 204.5 78.5 79 260..5 oo00.0 40 37.3 14.3 Ioo 93.4 35.8 60 149.4 57.3 20 205.4 78.8 80 261I.4 I00oo.3 4I 38.3;4-7 IOI 94.3 36.2 I6I 15o.3 57.7 221 206.3 79.2 281 262.3 100.7 42 39.2 I5.1 02 95.2 36.6 62 I51.2 58.1 22 207.3 79.6 82 263.3 IoI.I 43 4o. 15.4 o3 96.2 36.9 63 152.2 58.4 23 208.2 79.o 83 264.2 Ioi.4 \44 4I.I 15.8 o4 97.I 37.3 64 153.1 58.8 24 209.1 80.I 84 26,5.1 IOi.8 45 42.0 I6. o5 98.0 37.6 65 I54.o 59.1 25 2Io.I 8o.6 85 266.1 I02.1 46 42.9 I6.5 o6 99.o 38.o 66 155.o 59.5 26 21 I.0 8I.0 86 267.0 I02.5 47 43.9 I6.8 07 99.9 38.3 67 155.9 59.8 27 21I.9 8.3 87 267.9 1o02.9 48 44.8 17.2 o8 oo00.8 38.7 68 i56.8 60.2 28 21I2.9 81.7 88 268.9 103.2 49 45.7 17.6 09 ioI.8 39. 69 I57.8 60.6 29 2I3.8 82.I 89 269.8 Io3.6 5o 46.7 1I7.9 0 I02.7 39.4 70 I58.7 60.9 30 2I4.7 82.4 90 270.7 103.9 51 47.6 i8.3 ii 1io3.6 39.8 17I 159.6 6i.3 231 2I5.7 82.8 291 271.7 io4.3 52 48.5 I8.6 12 Io4.6 40o. 72 I6o.6 6I.6 32 216.6 83.I 92 272.6 Io4.6 53 49.5 I9.0 I3 io5.5 4o.5 73 161.5 62.0 33 217.5 83.5 93 273.5 io5.o 54 5o.4 19.4 I4 I06.4 40.9 74 I62.4 62.4 34 218.5 83.9 94 274.5 Io5.4 55 5I.3 19.7 I5 107.4 4I.2 75 163.4 62.7 35 219.4 84.2 95 275.4 I05.7 56 52.3 20.I I6 io8.3 41.6 76 i64.3 63.i 36 220.3 84.6 96 276.3 io6.i 57 53.2 20.4 17 I09.2 41.9 77 I65.2 63.4 37 22I.3 84.9 97 277.3 Io6.4 58 54. I 20.8 i8 110.2 42.3 78 166.2 63.8 38 222.2 85.3 98 278.2 xo6.8 59 55.1 21.I 19 III.I 42.6 79 167.1 64.I 39 223.1 85.6'99 279.I I07.2 60 56. O21.5 20 112.0 43.0 80 I68.o 64.5 40 224. 86.0 300 280. 107.5 Dist.. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. [For 69 Degrees. Page 38J TABLL HI. Difference of Latitude and Departure for 22 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. I 00.9 oo.4 6i 56.6 2'2.9 I2I JI2.2 45.3 i8i 167.8 67.8 24I 223.5 90.3 2 01.9 o00.7 62 57.5 23.2 22 uI3.i 45.7 82 I68.7 68.2 42 224.4 90.7 3 02.8 o I. 63 58.4 23.6 23 II4.o 46.I 83 I69.7 68.6 43 225.3 9I.o 4 03.7 oi.5 64 59.3 24.0 24 II5.o 46.5 84 170.6 68.9 44 226.2 91.4 5 o4.6 OI.9 65 6o.3 24.3 25 II5.9 46.8 85 I71.5 69.3 45 227.2 9I.8 6 05.6 02.2 66 61.2 24.7 26 Ii6.8 47.2 86 I72.5 69.7 46 228.I 92.2 7 o6.5 02.6 67 62.1 25. I 27 117.8 47.6 87 173.4 70.1 47 229.0 92.5 8 07.4 03. o 68 63.o 25.5 28 118.7 47.9 88 174.3 70.4 48 229.9 92. 9 o8.3 o3.4 69 64.o 25.8 29 ii9.6 48. 89 I75.2 70.8 49 230.9 93.3 Io 09.3 03.7 70 64.9 26.2 3o I20.5 48.7 90 176.2 71.2 50 23I.8 93.7 II IO0.2 o4.I 71 65.8 26.6 I3I I2I.5 49.1 I9I I77.1 71.5 25I 232.7 94.o 12 iI.I o4.5 72 66.8 27.0 32 I22 4 49.4 92 178.0 71.9 52 233.7 94.4 I3 12.I 04.9 73 677 27.3 33 I.23.3 49.8 93 I78.9 72.3 53 234.6 94.8 I4 i3.o o5.2 74 68.6 27.7 34 124.2 50.2 94'799 72.7 54 235.5 95.2 I I 3.9 o5.6 75 69.5 28.I 35 125.2 50o.6 95 I80.8 73.0 55 236.4 95.5 14~~~~~~~~~~~~7.8 55. 9.36. 96ii95.5 I6 I4.8 o6.o 76 70.5 2&8.5 36 126.I 50.9 96 I 81.7 73.4 56 237.4 95.9 I7 I5.8 o6.4 77 71.4 28.8 37 27.0 5I.3 97 I82.7 73.8 57 238.3 96.3 i8 16.7 06.7 78 72.3 29.2 38 I28.0 5I.7 98 i83.6 74.2 58 239.2 96.6 I 9 I7.6 07.*1 79 73.2 29.6 39 128. 52.I 99 I84.5 74.5 59 240.1 97.0 20 i8.5 07. 80 74.2 30.0o 40 I29.. 52.4 200 I85.4 74.9 6o 24I.I 97.4 21 19.5 0o7.9 8i 75.I 30o. 3 14I I30o.7 52.8 20oi I86.4 75.3 26I 242.0 97.8 22 20.4 o8.2 82 76.0 o 30.7 42 I3 1.7 53.2 02 187.3 75.7 62 242.9 98.1 23 2I.3 o8.6 83 77. o 3i.I 43 I32.6 53.6 o3 i88.2 76.o 63 243.8 98.5 24 22.3 o9.o 84 77.9 3i.5 44 I33.5 53.9 o4 I89.1 76.4 64 244.8 98. 25 23.2 09.4 85 78.8 3r.8 45 I 34.4 54. 3 5 I90.I 76.8 65 245.7 99.3 26 24.1 o09.7 86 79.7 32.2 46 I35.4 54.7 o6 I91.0 77-2 66 246.6 99.6 27 25.,0 IO.I 87 80.7 32.6 47 i36.3 55.I o7 I91.9 77.5 67 247.6 ioo.o 28 26.0 io.5 88 8i.6 33.0 48 137.2 55.4 o8 192.9 77.9 68 248.5 100.4 29 26.9 Io.9 89 82.5 33.3. 49 I38.2 55.8 09 I93.8 78.3 69 249.4 ioo.8 30 27.8 II.2 90 83.4 33.7 50 i39.I 56.2 IO I94.7 78.7 70 250.3 ioI.I 3I 28.7 ii.6 9I 84.4 34.I I5I I4o.o 56.6 21II I95.6 79.0 27I 25I1.3 Ioi.5 32 29.7 12.0 92 85.3 34.5 52 I40.9 56.9 12 I96.6 79.4 72 252.2 IOI.9 33 30.6 I2.4 93 86.2 34.8 53 I41.9 57.3 13 197.5 79.8 73 253.1 102.3 34 3r.5 I2.7 94 87.2 35.2 54 142. 57.7 I4 I98.4 80.2 74 254. I02.6 35 32.5 i3.i 95 88.I 35.6 55 I43.7 58.I I5 199.3 8o.5 75 255.o io3.o 36 33.4 I3.5 96 89.0 o 36. o 56 I44.6 58.4 I6 200.3 80.9 76 255.9 io3.4 37 34.3 13.9 97 9 36.3 57 I45.6 58.8 17 20I.2 8i.3 7 256.8 io3.8 38 35.2 14.2 98 90.9 36.7 58 I46.5 59.2 48 202.I 8 I.7 78 257.8 I04. 39 36.2 I4.6 99 9I.8 37.I 59 I47.4 59.6 19 203.I 82.0 79 258.7 Io4.5 4o 37.1 i5.o Ioo 92.7 37.5 6o 148.3 59.9 20 204.0 82.4 80 259.6 104.9 41 -8.o I o.4 I 93.6 37 -8 I6i I49.3 6o.3 22I 20.04.9 82.8 28i 260.5 Io5.3 42 38.9 I5.7 02 94.6 38.2 62 150.2 60.7 22 205.8 83.2 82 26I.5 Io5.6 43 39.9 I6.i 03 95.5 38.6 63 I5I.I 6i.I 23 206.8 83.5 83 262.4 io6.o 44 4o.8 I6.5 o4 96.4 39.0 64 I52.I 6i.4 24 2077 83.9 84 263.3 io6.4 45 41.7 639.3.9 05 97i53.o 6i.8 25 208.6 84. 85 264.2 I6.8 46 42.7 17.2 o6 98.3 39.7 66 I53.9 62.2 26 209.5 84.7 86 265.2 107.1 47 43.6 I7.6 07 99.2 40.I 67 I54.8 62.6 27 2IO.5 85.o 87 266.I 107.5 48 44.5 I8.o o8 TOO.1 40.5 68 I55.8 62.9 28 211.4 85.4 88 2670 107.9 49 45.4 i8.4 09 IoI.I 40.8 69 I56.7 63.3 29 2I.2.3 85.8 89 268. 108. 50o 464 I8.7 IO I02.0 41.2 70 I57.6 63.7 30 2I3.3 86.2 9 268.9 io8.6 5I 47.3 19. II 102.9 4I.6 I7I i58.5 64.I 231 214.2 86.5 29I 269.8 IO9.0 52 48.2 I9.5 I2 io3.8 42.0 72 I59.5 64.4 32 215.I 86.9 92 270.7 109.4 53 49.I 19.9 13 Io4.8 42.3 73 i6.4 64.8 33 2I16.0 87.3 93 27 1.7 1o09.8 54 5o. I 20.2 14 Io5.7 42.7 74 i6i.3 65.2 34 2I7.o0 87.7 94 272.6 Io.I 55 5I.o 20.6 I5 io6.6 43.I 75 I62.3 65.6 35 217.9 88.o 95 273.5 io.5 56 51.9 21.0 i6 107.6 43.5 76 I63.2 65.9 36 2I8.8 88.4 96 274.4 110.9 57 52.8 2I.4 I7 io8.5 43.8 77 I64.I 66.3 37 219.7 88.8 97 275.4 III.3 58 53.8 21.7 i8 109.4 44.2 78 I65.o 66.7 38 220.7 89.2 98 276.3 III.6 59 54.7 i 22.1 19 IIo.3 44.6 79 I66.o 67.I 39 221I.6 89.5 99 277.2 112.0 60 55.6 22.5 20 1II.3 45.o 80 i66.9 67.4 4o 222.5 89.9 300 278.2 112.4 Dist. Dep). Lat. Dist. Dep. Lat. Dist. at. st Dep. Lat. Dist. Dep. bat. [For 68 Degrees. TABLE II. [Page 39 Difference of Latitude and Departure for 23 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. I o00. oo.4 6I 56.2 23.8 II III.4 47.3 18I I66.6 70.7 24I 221.8 94.2 2 01.8 oo.8 62 57.I 24.2 22 1I1 2.3 47-7 82 1I67.5 7I.I 42 222.8 94.6 3 o02.8 oI.2 63 58.o 24.6 23 II3.2 48. 83 i68.5 71.5 43 223.7 94.9 4 o3.7 oi.6 64 58.9 25.0 24 I I4. 48.5 84 169.4 71.9 44 224.6 95.3 5 o4.6 02.0 65 59.8 25.4 25 Ii5.I 48.8 85 170.3 72.3 45 225.5 95.7 6 o05.5 02.3 66 6o.8 125.8 26 ii6.o 49.2 86 I71.2 72.7 46 226.4 96.i 7 o6.4 02.7 67 61.7 26.2 27 1I6.9 49.6 87 172.1 73.I 47 227.4 96.5 8 07.4 o3.I 68 62.6 26.6 28 11I7.8 50.o 88 I73. 73.5 48 228.3 96.9 9 o8.3 o3.5 69 63.5 27.0 29 II8.7 5.4 89 I74.0 73.8 49 229.2 97.3 IO 09.2 o3.9 7o 64.4 27.4 3o I119.7 50.8 90 174.9 74.2 50 230. 97.7 II Io.Io04.3 71 65.4 27.7 131 I20.6 51.2 I91 175.8 74.6 25I 23I.o 98.I I2 II11. 047 72 66.3 28.I 32 I2I.5 5i.6 92 I76.7 75.o 52 232.0 98.5 I3 12.0 o5.I 73 67.2 28.5 33 I 22.4 52.0 93 I77.7 75.4 53 232.9 98.9 I4 I2.9 o5.5 74 68.i 28.9 34 I23.3 52.4 94 178.6 75.8 54 233.8 99.2 i5 I3.8 o5.9 75 69.0 29.3 35 1I24.3 52.7 95 I79.5 76.2 55 234.7 99.6 i6 i4?7 o6.3 76 70.0 29.7 36 I25.2 53.I.96 I8o.4 76.6 56 235.6 Ioo.o I7 i5.6 o6.6 77 70. 3o.I 37 I26.I 53.5 97 i8i.3 77.0 57 236.6 oo0.4 I8 I6.6 07.0 78 7I.8 30.5 38 127.o 53.9 98 182.3 77.4 58 237.5 Ioo.8 I9 17.5 07.4 79 72.7 30.9 39 128.o 54.3 99 I83.2 77.8 59 238.4 IOI.2 ao I 8.4 07.8 80 73.6 31.3 4o I28.9 54.7 2oo I84.i 78.I 60 239.3 Iox.6 2I 19.3 o8.2 8I 74.6 3i.6'41 l29.8 55.I 20I I85.o 78.5 261 240.3 I02.0 22 20.3 o8.6 82 75.5 32.0 42 I30.7 55.5 o2 185.9 78.9 62 24I.2 I02.4 23 2I.2 09.0 83 76.4 32.4 43 i3I.6 55.9 o3 186.9 79~3 63 242.I I02.8 24 22.1 09.4 84 77.3 32.8 44 I 32.6 56.3 o4 1I87.8 79.7 64 243.0o Io3.2 25 23.0 09og.8 85 78.2 33.2 45 I33.5 56.7 o5 188.7 8o.i 65 243.9 io3.5 26 23.9 IO.2 86 79.2 33.6 46 I34.4 57.0 o 6 1I89.6 8o.5 66 244.9 Io3.9 27 24.9 Io.5 87 8o. 34.0o 47 135.3 57.4 07 I90.5 80.9 67 245.8 Io4.3 28 25.8 IO.9 88 8.0o 34.4 48 I36.2 57.8 o8 o8.5 8I.3 68 246.7 I04.7 29 26.7 II.3 89 8I.9 34.8 49 I37.2 58.2 og 192.4 81.7 69 247.6 io5.I 30 27.6 1I.7 90 82.8 35.2 50 I38. 58.6 10 I93.3 82.1 70 248.5 io5.5 31 28.5 I2.1 91 83.8 35.6 I5l 139.0 59.o 21I 194.2 82.4 27I 249.5 I05.9 32 29.5 12.5 92 84.7 35. 52 139.9 59.4 I2 I95. 82.8 72 250.4 io6.3 33 3.4 12.9 93 85.6 36.3 53 40o.8 59.8 13 196. 83.2 73 25I.3 106.7 34 3I.3 13.3 94 86.5 36.7 54 I4I.8 60.2 14 197o0 83.6 74 252.2 107.1 35 32.2 13.7 95 87.4 37.I 55 142.7 60.6 I5 I97.9 84.o 75 253. I 07.5 36 33.1 I I4. 96 88.4 37.5 56 I43.6 6i.o I6 I98. 84.4 76 254.1 107.8 37 34.I I4.5 97 89.3 37.9 57 144.5 6i.3 17 199-7 84.8 77 255.0 I08.2 38 35.o Ix4.8 98 90.2 38.3 58 I45.4 6I.7 I8 200.7 85.2 78 255.9 I08.6 39 35.9 I5.2 99 91. 38.7 59 I46.4 62.1 19 20I.6 85.6 79 26%.8 I09.0 4o 36.8 15.6 Ioo 92.1 39. 6o i47.3 62.5 20 202.5 86.o 80 257.7 I09.4 4i 37.7 I6.o IOI 93.o 39.5 I6I 148.2 62.9 22 203.4 86.4 281 258.7 109.8'42 38.7 I6.4 02 93.9 39.9 62 I49.' 63.3 22 20o4.4 86.7 82 259.6 I10.2 43 39.6 i6.8 o3 94.8 40.2 63 i5o.o 63.7 23 2o05.3 87.I 83 260.5 iio.6 44 40. 5 17.2 o4 95.7 4o0.6 64 I5I.0 64. 24 206.2 87.5 84 26I.4 I I I.O 45 4I.4 I7.6 o5 96.7 4I0 65 I5I'.9 64.5 25 207. I 87.9 85 262.3 11i.4 46 42.3 i8.o o6 97.6 4I.4 66 52.8 64.9 26 208.0 88.3 86 263.3 III.7 47 43.3 I8.4 07 98.5 4I.8 67 I 53.7 65.3 27 2090.o 887 87 8264.2 112. 48 44.2 i8.8 08 99.4 42.2 68 i54.6 65.6 28 209.9 89.I 88 265.I II2.5 49 45. I 19.1 09 1oo.3 42.6 69 I55.6 66.o 9 210.8 89.5 89 266.0 11 2.9 So 4,6o 19.5 io io.3 43.o 70 i56.5 66.4 30 2II.7 89.9 90 266.9 I 3.3 5 46.9 19.9 I II 1102.2 43.4 I71 i57.4 66.8 23I 2I2.6 90.3 29I 267.9 II3.7 52 47.9 20.3 I2I0o3.I 43.8 72 I58.3 67.2 32 2I3.6 90.6 92 268.8 II4. 53 48.8 20.7 I3 I0o4.o 44.2 73 I59.2 67.6 33 2I4.5 91.0 93 269.7 II4.5 54 49.7 21.I i4 I04.9 44.5 74 160o.2 68.o 34 215.4 91.4 94 270.6 I I4.9 55 5o.6 2I.5 I5 Io5.9 44.9 75 i6I. I 68.4 35 2I6.3 9I.8 95 271.5 1I5.3 56 5I.5 21.9 I6 io06.8 45.3 76 I62.0 68.8 36 217.2 92.2 96 272.5 15.7 57 52.5 22.3 I7 07.7 45.7 77 I62.9 69.2 37 2I8.2 92.6 97 273.4 Ir6.o 58 53.4 22.7 i8 Io8.6 46.I 78 I63.8 69.6 38 219.1 93.0 98 274.3 i 6.4 59 54.3 23. I9 io09.5 46.5 79 I64.8 69.9 39 220.0 93.4 99 275.2 i6.8 6o 55. 223.4 20 II.5 46.9 80 I65.7 70.3 4o 220.9 93.8 300 276.2 1I 7.2 Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Den. Lat. [For 67 Degrees.. Page 40] TABLE II. Difference of Latitude and Departure for 24 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Ioo.g9 oo.4 6I 55.7 24.8 I2I IIO.5 49.2 i8i i65.4 73.6 241 220.2 98.o 2oi.8 oo.8 62 56.6 25.2 22 iii.5 49.6 82 i66.3 74-0 42 221.1 98.4 3 o.7 01.2 63 57.6 25.6 23 I I 2.4 50.o 83 I67.2 74.4 43 222.0 98.8 4 o3.7 oi.6 64 58.5 26.o 24 113.3 50.4 84 168.1 74.8 44 222.9 99.2 5 o4.6 02.o 65 59.4 26.4 2 5 114.2 5o.8 85 169.o 75.2 45 223.8 99.7 6 o5.5 -)2.4 66 6o.3 26.8 26 115. I 51.2 86'1 69. 9 75.7 46 224.7 IO.1 7 o6.4 02.8 67 61.2 27.3 27 I i6.o 51.7 87 170. 76.1 47 225.6 ioo.5 8 07.3 o3.3 68 62. I 27.7 28 116.9 52. I 88 171.7 76.5 48 226.6 Ioo.9 9 o8.2 o3.7 69 63.o 28.1 29 1 17.8 52.5 89 172.7 76.9 49 227.5 ioi.3 10 09.1 o4.1 70 63.9 28.5 30 I i8.8 52.9 90 173.6 77.3 50 228.4 IOI.7 II IO.O 04.5 7i 64.9 28.9 I31 119.7 53.3 I91 174.5 77-7 251 229.3 102.I 12 11.0 o4. 9 72 65.8 29.3 32 I20.6 53.7 92 175.4 78.I 52 230.2 I02.5 13 II.9 o5.3 73 66.7 29.7 33 12i1.5 54.1 93 176.3 78.5 53 231.1 I02.9 14 12.8 o5.7 74 67.6 30.I 34 I22.4 54.5 94 177.2 78.9 54 232.0o Io 3.3 I5 I3.7 o6. I 75 68.5 3o.5 35 I23.3 54.9 95 178 I 79.3 55 233. o I03.7 I6 I4.6 o6.5 76 69.4 30.9 36 124.2 55.3 96 I 79. I 79.7 56 233.9 io4. I 17 i5.5 06.9 77 70.3 31.3 37 125.2 55.7 97 I80.o 80.1 57 234.8 io04.5 I8 I6.4 07.3 78 71.3 31.7 38 126. I 56. I 98 180.9 80.5 58 235.7 104.9 19 17.4 07.7 79 72.2 32.1 39 I27.0 56.5 99 i8i.8 80.9 59 236.6 I o5.3 20 I8.3 o8. I 80 73'. I 32.5 4o I127.9 56.9 200 I 82.7 81.3 60 237.5 io5.8 21 Ig9.2 o8.5 81 74.0 32.9 I41 I28.8 57.3 20oI I83.6 8i.8 26I 238.4 I06.2 22 20.I 08.9 82 74.9 33.4 42 129.7 57.8 02 i84.5 82.2 62 239.3 io6.6 23 21.0 o 09.4 83 75.8 33.8 43 i3o.6 58.2 o3 185.4 82.6 63 240.3 I07.0 24 21.9 og09.8 84 76.7 34.2 44 I3i.6 58.6 o4 I86.4 83.o 64 241 2 I07.4 25 22.8 O10.2 85 77.7 34.6 45 i32.5 59.0 o5 187.3 83.4 65 242.1 107.8 26 23.8 io.6 86 78.6 35.o 46 I33.4 59.4 o6 I88.2 83.8 66 243.o 108.2 27 24.7 zI.o 87 79.5 35.4 47 i34.3 59.8 07 189.1 I 84.2 67 243.9 io8.6 28 25.6 z I.4 88 8o.4 35.8 48 135.2 60.2 o8 I90.O 84.6 68 244.8 og109.o 29 26.5 II.8 89 8i.3 36.2 49 i36. I 60o. 6 og09 I90.9 85.o 69 245.7 109.4 30 27.4 1.2.2 90 82.2 36.6 50 i37.o 6i.o 1o 191.8 85.4 70 246.7 I09.8 q~~~~~~~~~- _5_ I -0.2._ 3-JI 28.3 1I2.6 9I 83.I 37.0 I5I 137. 9 61.4 21I i92.8 85.8 271 247.6 Io0.2 ~~~~~~~~6i8,- 62 72 4. o. 32 29.2 i3.o 92 84.o 37.4 52 I38. 6I.8 I2 I93.7 86.2 72 248.5 IIO.6 33 3o. Ii3.4 93 85.o 37.8 53 I39.8 62.2 13 I94.6 86.6 73 249.4 11.0 34 3I.I i3.8 94 85.9 38.2 54 I40.7 62.6 I4 I5.5 87.0 74 250.3 I I.4 35 32.0 14.2 95 86.8 38.6 55 I4I.6 63.o I 5 I96.4 87.4 75 251.2 In.9 36 32.9 I4.6 96 87.7 39.0 56 142.5 63.5 i6 197.3 87-9 76 252.1 11:2.3 37 33.8 I5.o 97 88.6 39.5 57 I43.4 63.9 17 198.2 88.3 77 253. 11 2.7 38 34.7 15.5 98 89.5 39.9 58 I44.3 64.3 i8 I99.2 88.7 78'254.o I1I3.I 39 35.6 15.9 99 go90.4 4o.3 59 I45.3 647 19 200. I 89.1 79 254.9 I I3.5 40 36.5 r6.3 IOO 91.4 40.7 60 146.2 65.I 2 201.0 89.5 8o 255.8 I13.9 4i 37.5 I6.7 IOI 92.3 4i. I i6i I47-i 65.5 22I 20I.9 89.9 28I 256.7 II4.3 42 38.4 I7.1 02 93.2 4I.5 62 i48.o 65.9 22 202.8 90.3 82 257.6 I 14.7 43 39.3 17.5 o3 94. I 41.9 63 I148.9 66.3 23 203.7 90.7 83 258.5 i i5.I 44 40o.2 17. o4 95.o 42.3 64 i49.8 66.7 24 204.6 gI.1 84 259.4 I5.5 45 4i. Ii8.3 o5 95.9 42 7 65 I50.7 67. I 25 205. 5 85 260.4 I I5.9 46 42.o I8.7 o6 96.8 43. I 66 i5I.6 67.5 26 206.5 91I.9 86 261.3 I I6.3 47 42.9 I9.1 07 97.7 43.5 67 152.6 67.9 27 207.4 92.3 87 262.2 116.7 48 43.9 I9.5 o8 98.7 43.9 68 i53.5 68. 28 208.3 92.7 88 263 I 117.1 49 44.8 19.9 09 99.6 44.3 69 I 54.4 68.7 29 20o9.2 93. I 89 264. o I I 75 5o 45-7 20.3 IO loo.5 44.7 70 155.3 69. I 3o 2IO.I 93.5 90 264.9 II8o 5I 46.6 20.7 Ili Io.4 45.1 I71 I56.2 69.6 23 I 2II.0 94.0 291 265.8 iI8.4 52 47 5 21.2 12 Io02.3 45.6 72 157.1 70.o 32 211.9 94.4 92 266.8 iI8.8 53 48.4 2I.6 13 I03.2 46.o 73 i58.o 70.4 33 2I2.9 94.8 93 267.7 119.2 54 49.3 22.0 14 io4.1 46.4 74 I59.o 70.8 34 213.8 95.2 94 268.6 I19.6 55 50.2 22.4 I5 io5.I 46.8 75 159.9 71.2 35 2i4.7 95.6 95 269.5 120.0 56 51.2 22.8 i6 io6.o 47.2 76 i6o.8 71.6 36 2I5.6 96.o 96 270.4 120o.4 57 52.1 23.2 I17 106.9 47.6 77 I61.7 72.0 37 2I16.5 96.4 97 271.3 120.8 58 53.0 23.6 I8 I07.8 48.o 78 I62.6 72.4 38 217.4 96.8 98 272.2.2I.2 59 53. 24.o I89 I08.7 48.4 79 I63.5 72.8 39 2I18.3 97.2 99 273.2 12I.6 S9] 3o 24.0 1923.2 oo6 6o 54.8 24.4 20 Io09.6 48.8 8o i64.4 73.2 4o 2I9.3 97.6 300 274.I I22.0t Ds. ep.... -a. I_ o.74.1 122p. O Dist. Dep. Lat. D ist. Dep. Lat. D ist. Dep ep. t ist Dep. Lat. Dist. Dep. Lat.i [For 66 Degrees. TABLE II. [Page 41 Difference of Latitude and Departure for 25 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Ioo 00. 4 6i 55.3 25.8 12I 109.7 5I. i i8i i64.0 76.5 241 218.4 IO.9 2 OI.8 oo.8 62 56.2 26.2 22 Iio.6 5i.6 82 I64.9 76.9 42 2i9.3 I02.3 3 02.7 oi.3 63 57.1I 26.6 23 III.5 52.0 83 165.9 77.3 43 220.2 102.7 4 o3.6 01.7 64 58.o 27.0 24 II2.4 52.4 84 I66.8 77.8 44 22I.I io03.I 5 o4.5 02. I 65 58.9 27.5 25 I I3.3 52.8 85 I67.7 78.2 45 222.0 Io3.5 6 o5.4 o2.5 66 59.8 27.9 26 I4.2 53.2 86 168.6 78.6 46 223.0 I o4.o 7 o6.3 o3. o 67 60o.7 28.3 27 I I5. I 53.7 87 I69.5 79.0 47 223.9 I0o4.4 8 07.3 o3.4 68 6i.6 28.7 28 I i6.o 54. I 88 I70.4 79.5 48 224.8 Io4.8 9 o8.2 o3.8 69 62.5 29.2 9 II6.9 54.5 89 I7I.3 79.9 49 225.7 i05.2 I o0 09. I 04. 2 70 63.4 29.6 30 117.8 54.9 90 172.2 80o.3 50 226.6 Io5.7 I i io.0 o4.6 7I 64.3 30.0 I3I 1 8.7 55.4 191 I73.I 80.7 251 227.5 io6.I I2 IO.9 o5. I 72 65.3 30.4 32 II9.6 55.8 92 174.0 8i.I 52 228.4 io6.5 I 3 ii.8 05.5 73 66.2 30.9 33 I20.5 56.2 93 I74.9 8 i.6 53 229.3 I o6.9 14 12.7 o5.9 74 67.I 3r.3 34 I2I.4 56.6 94 I75.8 82.0 54 230.2 I07.3 I5 i3.6 o6.3 75 68.o 3I.7 35 122.4 57.1 95 I76.7 82.4 55 23i.I 107.8 I6 I4.5 o6.8 76 68.9 32. I 36 I23.3'57.5 96 177.6 82.8 56 232.0 I08.2 17 I5.4 07.*2 77 69.8 32.5 37 124.2 57.9 97 178.5 83.3 57 a32.9 io8.6 I 8 i6.3 o7.6 78 70.7 33. 0 38 I 25. I 58.3 98 I 79.4 83.7 58 233.8 Iog.o I9 I7.2 o8.o 79 71.6 33.4 39 I26.0 58.7 99 i8o.4 84.I 59 234.7 109.5 20 i8. I o8.5 80 72.5 33.8 4o 126.9 59.2 200 i8i.3 84.5 6 235.6 Io09.9 2I 19.0 08.9 8i 73.4 34.2 14I 127.8 59.6 20I I82.2 84.9 26I 236.5 Iio.3 22 I9.9 09.3 82 74.3 34.7 42 I28.7 60.o 02 I83.i 85.4 62 237.5 1 I0.7 23 20o.8 09.7 83 75.2 35. I 43 I 29.6 60.4 o3 i84.o 85.8 63 238.4 iii.i 24 2I.8 Io. I 84 76. I 35.5 44 i3o.5 60.9 o4 I84.9 86.2 64 239.3 I I i.6 25 22.7 io.6 85 77.o 35.9 45 I3I.4 6i.3 o5 i85.8 86.6 65 240.2 112.0 26 23.6 ii.o 86 77.9 36. 46 I32.3 6I.7 o6 I86.7 87.I 66 241.I I I2.4 27 24.5 II.4 87 78.8 36.8 47 I33.2 62. I o7 I 87.6 87.5 67 242.o I I 2.8 28 25.4 ii.8 88 79.8 37.2 48 I34. I 62.5 o8 i88.5 87.9 68 242.9 I i3.3 29 26.3 I 2.3 89 80.7 37.6 49 i35.o 63.0 og9 89.4 88. 69 243.8 I I3.7 30 27.2 12.7 9o 8i.6 38.o 5o I35.9 63.4 Io I90.3 88.7 7o 244.7 I I4.1 3i 28. I I3. I 9 8a.5 |38.5 I51I 36.9 63.8 211 I9I.2 89.2 271 245.6 I I4.5 32 29.0 i3.5 92 83.4 38.9 52 I37. 64.2 12 I 92.I 89.6 72 246.5 I i5.o 33 29.9 I3.9 93 84.3 39.3 53 I38.7 64.7 i3 I93.o 90o.o 73 247.4 I 15.4 34 3o.8 i4.4 94 85.2 39.7 54 I39.6 65. I 4 I93.9 90.4 74 248.3 I i5.8 35 3I17 I4.8 95 86. I 40o I 55 i4o.5 65.5 IS I94.9 9o.9 75 249.2 I I6.2 36 32.6 I5.2 6 87.o 4o.6 56 I41.4 65.9 I6 I95.8 9I.3 76 250.I I i6.6 37 33.5 I5.6 97 87.9 4I.o 57 142.3 66.4 17 196.7 9I.7 77 25I.0 I I7.I 38 34.4 i6. I 98 88.8 41.4 58 I43.2 66.8 i8 I97.6 92.I 78 252.0 1I 7.5 39 35.3 i6.5 99 89-7 4i.8 59 i44. I 67.2 I9 I98.5 92.6 79 252.9 I I7. 4o 36.3 I6.9 I00 90. 6 42.3 60 i45.o 67.6 20 I 99.4 93.0 80 253.8 ii8.,~ -.......7,._. 4I 37.2 17.3 IOI 9I.5 42.7 I6I 145.9 68.o 221 200.3 93.4 281 254.7 II8.8 42 38.t 17.7 02 92.4 43. I 62 I46.8 68.5 22 201.2 93.8 82 255.6 I I9.2 43 39. o I 8.2 o3 93.3 43.5 63 147.7 68.9 23 202.I 94.2 83 256.5 I I9.6 44 39.9 I 8.6 o4 94.3 44.o 64 I48.6 69.3 24 203.0 94.7 84 257-4 120.0 45 4o.8 I9.0 o5 95.2 44.4 65 x49.5 69.7 25 203.9 95. I 85 258.3 120.4 46 41*7 I9.4 o6 96. I 44.8 66 I50.4 70.2 26 204.8 95.5 86 259.2 I 20.9 47 42.6 I9.9 o7 97o.0 45.2 67 I5.4 70.6 27 20.5,7 95.9 87 260.I i2i. 48 43.5 20.3 o8 97.9 45.6 68 I 52.3 7I.0 28 206.6 96.4 88 26I.0 121.7 49 44.4 20.7 og 98.8 46. I 69 I53.2 7I.4 29 207.5 96.8 89 26I.9 122.I 50o 45.3 21. IO10 99.7 46.5 70 I54. 71.8 30 208.5 97-2 90 262.8 I22.6 5I 46.2 2I.6 I I oo.6 46.9 171 I.0 72.3 23I 209.4 97.6 29I 263-7 23. 52 47.1 22.0 12 ioi.5 47.3 72 I55.9 72.7 32 2Io.3 98.0 92 264.6 I23.4 53 48.o 22.4 I3 102.4 47.8 73 i56.8 73. I 33 2I 1.2 98.5 93 265.5 I23.8 54 48.9 22.8 4 io3.3 48.2 74 i57.-7 73.5 34 2 I 2.1 98.9 94 266.5 I 24.2 55 49.8 23.2 I 5 104.2 48.6 75 I 58.6 74.0 35 2i3.0 99.3 95 267.4 I24.7 56 5o.8 23.7 i6 Io5. I 49-0 76 I59.5 74-4 36 213.9 99.7 96 268.3 125.1 57 5I.7 24.I I7 io6.o 49.4 77 i6o.4 74.8 37 214.8 I00.2 97 269.2 I25.5 58 52.6 24.5 i8 I06.9 49.9 78 i6i.3 75.2 38 2T5.7 ioo.6 98 270.I 25.9 59 53.5 24.9 19 107.9 50. 79 I62.2 75.6 3.9 2I6.6 IOI.O 99 271.9 126.4 6o 54.4 2. 20 I8.8 5o.7 8o i63. I 76. I 4o 217.5 ioi.4 3oo00 271.9 I26.8 Dist. Dep. Lat. I)ist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. [For 65 Degrees. 6 Page 42] TABLE II. Difference of Latitude and Departure for 26 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep.'Dist. Lat, Dep. oo00.9 oo.4 6I 54.8 26.7 121 io88 53'.o i8i I62.7 79.3 241 2I6.6 io5.6 2 oi.8 o0.9 62 55.7 27.2 22 I09.7 53.5 82 I63.6 79.8 42 217.5 Io6.i 3 02.7 OI.3 63 56.6 27.6 23 II0o.6 53.9 83 I64.5 80.2 43 218.4 io6.5 4 o3.6 o01.8 64 57.5 28.I 24 I11.5 54.4 84 I65.4 80.7 44 2I9.3 107.0 5 04.5 02.2 65 58.4 28.5 25 1 I2.3 54.8 85 I66.3 8I.I 45 220.2 107.4 6 o5.4 02.6 66 59.3 28.9 26 113.2 55.2 86 I67.2 8i.5 46 221.1 107.8 7 o6.3 o3. 67 60.2 29.4 27 11 4.1 55.7 87 I68. i 82.0 47 222.0 io8.3 8 07.2 o3.5 68 6i. 29.8 28 II5.0 56. 88 169.0 82.4 48 222.9 I08.7 9 o8. 0o3.99 69 62.0 30.2 29 115.9 56.5 89 I69.9 82.9 49 223.8 I09.2 IO 09.0 0o4.4 70 62.9 30.7 30o i6.8 57.o 90 170.8 83.3 50 224.7 I09.6 II og-. o4.8 7I 63.8 -3I. I 13I 17.7 57-.4 19 7I.7 83.7 25I 225.6 IIo.o 12 io.8 o5.3 72 64.7 3i.6 32 I I8.6 57.9 92 172.6 84.2 52 226.5 IIO.5 I3 1.7 o05.7 73 65.6 32.0 33 1I9.5 58.3 93 173.5 84.6 53 227.4 IO.9 i4 12.6 o6.I 74 66.5 32.4 34 I20.4 58.7 94 I74.4 85.o 54 228.3 I I.3 I5 I3.5 o6.6 75 67.4 32.2 35 121.3 59.2 95 I75.3 85.5 55 229.2 I i.8 i6 I4.4 07.0 76 68.3 33.3 36 122.2 59.6 96 I76.2 85.9 56 230.1 1I2.2 17 15.3 07.5 77 69.2 33.8 37 I23. 60.1 97 I77-I 86.4 57 23.0 11I2.7 i8 I6.2 07.9 78 70.I 34.2 38 124.0 60.5 98 178.0 86.8 58- 231.9 113.1 19 17.I1 08.3 79 71.0 34.6 39 124.9 60. 9 99 t78.9 87.2 59 232.8 113.5 20 I8.0 o8.8 80 71.9 35.1 40 I25.8 6.4 200 I,9.8 87-7 60 233.7 ii4.0 21 I8.9 09.2 8I 72.8 35.5 i4i I26.7 6I.8 20I I80.7 88.i 261 234.6 I14.4 22 19.8 09.6 82 73.7 35.9 42 127.6 62.2 02 18i.6 88.6 62 235.5 114.9 23 20.7 IO.I 83 74.6 36.4 43 128.5 62.7 o3 I82.5 89.0 63 236.4 5.3 24 2I.6 Io.5 84 75.5 36.8 44 I29.4 63. i o4 183.4 89.4 64 237.3 1 5.7 25 22.5 II.0o 85 76.4 37.3 45 i30.3 63.6 o5 i84.3 89.9 65 238.2 116.2 26 23.4 I 11.4 86 77.3 37 7 46 13.2 64. o o6 185.2 90.3 66 239.1 ii6.6 27 24.3 ii.8 87 78.2 38. I 47 i32.1 64.4 07 I86.1 90.7 67 240.0 1 x17.0 28 25.2 I2.3 88 791I 38.6 48 i33.0 64.9 o8 186.9 91.2 68 240.9 1 17.5 29 26.1 12.7 89 80.o 39.0 49 133.9 65.3 09 187.8 91.6 69 241.8 117.9 30 27.o 13.2 90 80.9 39.5 50 134.8 65.8 Io 188.7 92.I 70 242.7 118.4 3 127.9 I3.6 9. 81.8 39.9 15I 135.7 66.2 2II 189.6 92.5 271 243.6 iI8.8 32 28.8 I4.o 92 82.7 40.3 52 I36.6 66.6 I2 I90.5 92.9 72 244.5 119.2 33 29.7 I4.5 93 83.6 4o. 8 53 137.5 67.1 13 19 1.4 93.4 73 245.4 119.7 34 30.6 14.3 94 84.5 41.2 54 i38.4 67.5 I4 192.3 93.8 74 246.3 120.1 35 31.5 I5.3 95 85.4 41.6 55 I39.3 67.9 I5 I93.2 94.2 75 247.2 I20.6 36 32.4 i5.8 96 86.3 42.1 56 140.2 68.4 16 I94.1 94.7 76 248.1 121.0 37 33.3 16.2 97 87.2 42.5 57 141. I 68.8 17 195.0 95.I 77 249.0 121.4 38 34.2 I6.7 98 88. I43.0 58 142.0 69.3 I8 I95.9 95.6 78 249.9 12I.9 39 35.I 17.1 99 89.o 43.4 59 142.9 69.7 I9 196.8 96.0 79 250.8 122.3 40 36.o 17.5 I00 89.9 43.8 60 I43.8 70.I 20 I97.7 96.4 80 25I.7 122.7 4i 36.9 I8.o0 IO 90.8 44.3 i6I i44.7 70.6 221 198.6 96.9 281 252.6 123.2 42 37.7 18.4 02 9I.7 44.7 62 i45.6 71.0 22 199.5 97.3 82 253.5 I 23.6 43 38.6 8.8 o3 92.6 45.2 63 i46 5 7I.5 23 200.4 97.8 83 254.4 124.1 44 39.5 I9.3 o4 93.5 45.6 64 i47.4 71.9 24 201.3 98.2 84 255.3 124.5 45 40.4 19.7 05 94.4 46. o 65 x48.3 72.3. 25 202.2 98.6 85 256.2 124.9 46 4i.3 20.2 o6 95.3 46.5 66 149.2 72.8 26 203.1 99.1 86 257.1 125.4 47 42.2 20.6 07 96.2 46.9 67 I50. 73.2 27 204.0 99.5 87 258.o'125.8 48 43. I 21.0 o8 97-. 47.3 68 15I.0 73.6 28 204.9 99.9 88 258.9 I26.3 49 44.o 21.5 09 98.0 47.8 69 151.9 74.1 29 205.8 Ioo.4 89 0259.8 126.7 50o 44. 9 21.9 Io 98.9 48.2 70 I52.8 74.5 30 206.7 100oo.8 90 260.7 I 27.1 5 45.8 22.4 III 99.8 48.7 171 I53-7 75.0 231 207.6 ioi.3 29I 26i.5.127.6 52 46.7 22.8 12 I00.7 49.1 72 I54.6 75.4 32 208.5 101.7 92 262.4 I28.0 53 47.6 23.2 [3 ioi.6 49.5 73 I55.5 75.8 33 209.4 I02.1 93 263.3 1I28.4 54 48.5 23.7 14 102.5 50.0 74 i56.4 76.3 34 2IO.3 102.6 94 264.2 128.9 55 49.4 24. 1I5 Io3.4 50.4 75 157.3 76.7 35 2I 11.2 i03.o 95 265.I 129.3 56 50.3 24.5 i6 io4.3 50.9 76 158.2 77.2 36 212.I Io3.5 96 266.o I29.8 57 51. 2 25. 17 105.2 51.3 77 i59.1 77.6 37 21 3.o I o3.9 97 266.9 I3o0.2 58 52. 25.4 T8 io6.I 5 1.7 78 I6o.0 78.o 38 213.9 io4.3 98 267.8 i3o.6 59 53.0 25.9 19 107.0 52.2 79 60o.9 78.5 39 214.8 104.8 99 268.7 I3I.I 60 53.9 26'.3 20 1o07.9 52.6 80 16i.8 78.9 40 2I5.7 105.2 300. 269.6 II.5 Dist., Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. I Lat. [For 64 Degrees. 4.. _.,W.r,.,........ TABLE II. [Page 43 Difference of Latitude and Departure for 27 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist.1 Lat. Dep. I 00oo.9 oo.5 6I 54.4 27.7 121 107.8 54.9 i8I i61.3 82.2 241 2I4.7 09-.4 2 OI.8 00.9 62 55.2 28.I 22 108.7 55.4 82 I62.2 82.6 42 2i5.6 Io09.9 3 02.7 oi.4 63 56. I 28.6 23 109.6 55.8 83 i63.1 83.I 43 2I6.5 IIo.3 4 o3.6 oi.8 64 57.0 29.1 24 Ixo.5 56.3 84 I63.9 83.5 44 217.4 I o.8 5 o4.5 02.3 65 57.9 29.5 25 III.4 56.7 85 I 64.8 84.o 45 2 I 8.3 I I.2 6 o5.3 02o.7 66 58.8 30o.o 26 112.3 57.2 86 165.7 84.4 46 219.2 111.7 7 o6.2 03. 2 67 59.7 3o 4 27 I I3.2 57.7 87 I66.6 84.9 47 220.1 1 2.1 8 o7.I o3.6 68 6o.6 30.9 28 I I4.o 58.I 88 I67.5 85.4 48 221I.0 I I2.6 9 o8.o o4. I 69 6I.5 3I.3l 29 I14.9 58.6 89 I68.4 85.8 49 221.9 i3.o IO o8.9 o4.5 70 62.4 3I.8 3o0 f5.8 59.o 9o I69.3 86.3 50 222,8 113.5 I I og.8 o5.o 7l 63.3 32.2 131 I 6.7 59.5 i9 170.2 86.7 251 223.6 II4.0 12 10.7 o5.4 72 64.2 32.7 32 117.6 59.9 92 I7.I1 87.2 52 224.5 I 4.4 13.11.6 o5. 73 65.o 33. I 33 I 8.5 6o.4 93 I72.o 87.6 53 225.4 I I4.9 14 12.5 o6.4 74 65.9 33.6 34 I I9.4 6o.8 94 I72.9 88.I 54 226.3 I I5.3 I 5I 3.4 o6.8 75 66.8. 34.o 35 120.3 6I.3 95 I73.7 88.5 55 227.2 I I 5.8 i6 i4.3 07.3 76 67.7 34.5 36 I21.2 61. 7 96 174. 6 89.o 56 228.I 116.2 I7 5. I 07.-7 77 68.6 35.0 37 I22.1 62.2 97 175.5 89.4 57 229.o I I6.7 I8 I6.o0 o8.2 78 69.5 35.4 38 123.0 62.7 98 I76.4 89.9 58 229.9 117.1 19 I6.9 o8.6 79 70.4 35.9 39 123.8 63. I 99 I77.3 90.3 59 230.8 1I7.6 20 17.8 o9.1 80 71.3 36.3 4o 124.7 63.6 200 178.2 90.8 60 23 I.7 I i8.o 21I 8.7 og.5 81 72.2 36.8 141 1i25.6 64.o 201 I79-I 9G.3 26I 232.6 I 8.5 22 19.6 Io.o 82 73.1 37.2 42 126.5 64.5 02 I8o.o 91.7 62 233.4 I8.9 23 20.5 i o.4 83 74.0 37.7 43 127.4 64.9 o3 180.9 92.2 63 234.3 I9.4 24 2I 4 1o.9 84 74.8 38.I 44 I28.3 65.4 o4 I8I.8 92.6 64 235.2 1 9.9 25 22.3 II.3 85 75.7 38.6 45 I29.2 65.8 o5 I82.7 93.I 65 236.I 20o.3 26 23.2 ii.8 86 76.6 39.0 46 i3o. I 66.3 o6 i83.5 93.5 66 237.0 120.8 27 24. I12.3 87 77.5 39.5 47 I3i.o 66.7 o7 I84.4 94.o 67 237.9 I2I.2 28 24.9 I2.7 88 78..4 4o.o 48 I31.9 67.2 o8 i85.3 94.4 68 238.8 121.7 29 25.8 13.2 89 79.3 4o.4 49 132.8. 67.6 og I86.2 94.9 69 239.7 122.I 30 26.7 3.6 9o 8o0.2 4.9 5o I33.7 68._ io 87.1 95.3 70 240.6 I22.6 31 27.6'i4. I 9 8.I 4i.3 I5I I34.5 68.6 21I I88.o 91.8 271 24I.5 123.0 32 28.5 i4.5 92 82.0 4i.8 52 i35.4 69.o I2 188.9 96.2 72 242.4 I23.5 33 29.4 5. 93 82.9 42.2 53 I36.3 69.5 I3 I89.8 96.7 73 243.2 I 23.9 34 3o.3 I 15.4 94 83.8 42.7 54 i37.2 69.9 I4 19go.7 97.2 74 244.- I124.4 35 3I.2 15.9 95 84.6 43. I 55 i38.I 70.4 I s91.6 97.6 75 245.o 124.8 36 32.1 i6.3 96 85.5 43.6 56 139.0 70.8 i6 192.5 98.I 76 245.9 125.3 37 33.0 16.8 97 86.4 44.0 57 139.9 71.3 17 I93.3 98.5 77 246.8 125.8 38 33.9 17.3 98 87.3 44.5 58 i4o.8 7I.7 i8 194.2 99.0 78 247.7 126.2 39 34.7 I7.7 99 88.2 44.9 59 14I.7 72.2 19 I95.I 99.4 79 248.6 126.7 40 35.6 I8.2 100 89. I 45.4 6o I42.6 72.6 20 I96.o 99.9 80 249.5 127.I 4 36.5 I8.6 101 go. 0 45.9 i6i I43.5 73.1 221 I 96.9 ioo.3 281 250.4 I 27.6 42 37.4 19i.1 02 90.9 46.3 62 44.3 73.5 22 1 97-8 0oo.8 82 25I.3 128.o 43 38.3 i9.5 o3 9I.8 46.8 63 45.2 74.0 23 I98.7 101.2 83 252.2 I 28.5 44 39.2 20.0 o4 92. 7 47.2 64 46. I 74.s 24 I99.6 101.7 84 253.o I 28.9 45 4o. I 2o.4 05 93.6 47.7 65 147.0 74.9 25 200.5 102.I 85 253.9 129.4 46 4.o 120.9 o6 94.4 48. I 66 I479 75.4 26 20o.4 I o2.6 86 254.8 129.8 47 4I.9 21.3 07 95.3 48.6 67 I48.8 75.8 27 202.3 I o3. I 87 255.7 I3o.3 48 42.8 21.8 o8 96.2 49.o 68 I49.7 76.3 28 23. I I o3.5 88 256.6 130.7 49 43.7 22.2 09 97.I 49.S 69 i5o.6 76.7 29 204.0 Io4.- 89 257.5 I31.2 50 44.6 22.7 I 98.0 49.9 70 i5 I.5 77.2 3o 204.9 io4.4 go 258.4 I3I.7 SI 45.4 2 III 98.9 So4 171 152.4 77.6 231 205.8 I04.9 291 259.3 I32.I 52 46.3 23.6 12 99 85o.8 72 I 53.3 78. I 32 206.7 Io5.3 92 260.2 I 32.6 53 47.2 24.1 I3 100.7 5 I.3 73 i54. I 78.5 33 207.6 io5.8 93 26I.1 i33.o 54 48.I 24.5 14 ioi.6 5i.8 74 I55.0 79.o 34 28.5 I o6.2 94 262.0 I 33.5 55 49.0 25.o I 5 02.5 52.2 75 I55.9 79.4 35 209o4 I06.7 95 262.8 I 33.9 56 49.9 25.4 i6 io3.4 52.7 76 I 56.8 79.9 36 2Io.3 I07.1 96 263.7 134.4 57 5o.8 25.9 17 104.2 53.x 77 I57.7 8o.4 37 211.2 I o07.6 97 264.6 i34.8 58 5.7 26.3 x8 io5. I 53.6 78 I 58.6 8o.8 38 212.1I I8.o 98 265.5 I35.3 59 52.6 26.8 I,9 io6.o 54.o 79 i59.5 8i.3 39 2I3.o I o8.5 99 266.4 I35.7 6o 53.S 27.2 20 106.9 54.5 80 I6o.4 81.7 40 2I3.8 109.0 3oo 267.3 I36.2 Dist. T Dep. at Dist. Dep. Lat. Di-st.I Dep. iLat. Dist. Dep. Lat. Dist. 1 Dep. Lat. [For 63 Degrees. Pago 44] TABLE II. Difference of Latitude and Departure for 28 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat Dep. Dist. Lat. Dep. Dist.| Lat. Dep. 00.9 oo..5 6i 53.9 28.6 I2I o6.8 56.8 i 8 i 59.8 85.o 241 2I2.8 I13-, 2 o.8 oo00.9 6 54-7 29. I 22 I07 7 57.3 82 I60.7 85.4 42 213.7 i 1i3.6 3 02.6 oi.4 63 55.6 29.6 23 o8.6 57.7 83 I6i.6 85.9 43 2I4.6 1 I4.1 4 o3.5 oi.9 64 56.5 30.o 24 I09.5 58.2 84 I62.5 86.4 44 2I5.4 II4.6 5 o4.4 o02.3 65 57.4 30.5 25 Iio.4 58.7 85 I63.3 86.9 45 2i6.3 ii5.o 6 o5.3 02.8 66 58.3 3i.0 26 iII.3 59.2 86 164.2 87.3 46 217.2 I 5.5 7 o6.2 o3.3 67 59.2 3I.5 27 112. I 59.6 87 i65.I 87.8 47 2I8.x II6.o 8 07.I o3.8 68 60.o 3I.9 28 II3.o0 6o.I 88 i66.0 88.3 48 2I9.0 I i6.4 9 07*9 o4.2 69 60.9 32.4 29 II3.9 60.6 89 I 66.9 88.7 49 219.9 116.9 IO o8.8 04.7 70 6i.8 32.9 30 II4.8 6i.0 9o I67.8 89.2 50o 220.7 1I7.4 II 09.7 o5.2 7I 62.7 33.3 I3I 115.7 6I.5 I9I I68.6 89.7 25I 221.6 II7.8 12 I0.6 o5.6 72 63.6 33.8 32 Ii6.5 62.o 92 I69.5 90.1 52 222.5 II8.3 I3 II.5 o6.I 73 64.5 34.3 33I I7.4 62.4 93 I70.4 90.6 53 223.4 I i8.8 I4 I2.4 o6.6 74 65.3 34.7 34 i 18.3 62.9 94 I71.3 9I.I 54 224.3 I I9.2 iS I3.2- 07.0 75 66.2 35.2 35 119.2 63. 95 I72.2 g91.5 55 225.2 II9.7 I6 I4. I 07.5 76 67.I 35.7 36 I20o.I 63.8 96 I73. 92.0 56 226.0 I 20.2 I7 i5.o 0o8.0 77 68.0 36. I 37 121.o 64.3 97 173.9 92.5 57 226.9 120.7 I8 I5.9 o8.5 78 68.9 36.6 38 I21.8 64.8 98 I74.8 93.0 58 227.8 I2I.I 19 i6.8 08.9 79 69.8 37.I 39 122.7 65.3 99 I75.7 93.4 59 228.7 i2i.6 20 17.7 og09.4 80 70.6 37.6 4o 123.6 65.7 200 176.6 93.9 60 229.6 I22.I 2I1 I8.5 o09 81 71 5 38.o I41 24' 5 66 20[ i77. 5 94. 4 26I 230.4 122.5 22 I9.4 io.3 82 72.4 38.5 42 125.4 66.7 02 178.4 94.8 62 23I.3 123.o 23 20.3 io.8 83 73.3 39.0 43 I 26.3 67. I 03 179.2 95.3 63 232.2 I23.5 24 21.2 II.3 84 74.2 39.4 44 127. I 67.6 o4 i8o.I 95.8 64 233.1 123.9 25 22. I I I. 7 85 75. I 39.9 45 I28.O 68. I o5 i8i.o 96.2 65 234.o 124.4 26 23.0 12.2 86 75.9 4o.4 46 I28.9 68.5 o6 I8I.9 96.7 66 234.9 124.9 27 23.8 12.7 87 76.8 40.8 47 129.8 69.o 07 i82.8 97.2 67 235.7 I25.3 28 24/.7 I3. 88 77.7 4I.3 48 1 30.7 69.5 o8 I83.7 97.7 68 236.6 125.8 29 25.6 i3.6 89 78.6 4I.8 49 I3i.6 70.0 09 I84.5 98.I 69 237.5 i26.3 30 26.5 I4. I 90 79.5 42.3 50 i32.4 70.4 io i85.4 98.6 7o 238.4 I26.8 3I 27.4 x4.6 9I 8o.3 42.7 I5I I33.3 70.9 2II I86.3 99.I 27 239.3 I27.2 32 28.3 i5.o 92 81.2 43.2 52 34.2 7I.4 12 I87.2 99.5 72 240.2 127.7 33 29. I 5.5 93 82.1 43.7 53 I35.i 71.8 I3 i88.i 100oo.o0 73 24I.0 I 28.2 34 30.o i6.0 94 83.o 44.I 54 I36.o 72.3 i4 189.0 o oo.5 74 241.9 I28.6 35 3o.9 i6.4 95 83.9 44.6 55 I36.9 72.8 i5 I89.8 IOO.9 75 242.8 129.1 36 31.8 i6.9 96 84.8 45. I 56 137.7 73.2 i6 190.7 Ioi.4 76 243.7 I 29.6 37 32.7 17.4 97 85.6 45.5 57 I38.6 73.7 17 79I.6 IOI.9 77 244.6 i 3o.o 38 33.6 17.8 98 86.5 46.o 58 I39.5 74.2 i8 I92.5 1o02.3 78 245.5 i30.5 39 34.4 I8.3 99 87.4 46.5 59 I4o.4 74.6 I9 I 93.4 I02.8 79 246.3 i3i.o 4o 35.3 i8.8 IoO 88.3 46.9 60 I4I.3 75. I 20 194.2 IO3.3 80 247.2 I3i.5 4' 36.2 19.2 ioi 89.2 47.4 i6i I42.2 75.6 221 I95.I io3.8 281 248.I I31.9 42 37. I19.7 02 90.I 47.9 62 I43.o 76. I 22 I 96.0 104.2 82 249.-o 32.4 43 38. o 20.2 o3 90.9 48.4 63 I43.9 76.5 23 I96.9 Io047 83 249.9 I32.9 44 38.8 20.7 o4 g9I.8 48.8 64 I44.8 77.0 924 I97.8 105.2 84 25o.8 I33.3 45 39.7 21.1 o5 92.7 49.3 65 145.7 77.5 25 I98.7 io5.6 85 25I.6 i 33.8 46 40.6 21.6 o6 93.6 49.8 66 I46.6 77.9 26 I99.5 Io6.i 86 252.5 i34.3 47 4i.5 22.1 07 94.5 50.2 67 147.5 78.4 27 200.4 io6.6 87 253.4 I34.7 48 42.4 22.5 o8 95.4 50.7 68 I48.3 78.9 28 20I.3 107.0 88 254.3 135.2 49 43.3 23.o og 96.2 5I.2 69 I49.2 79.3 29 202.2 107.5 89 255.2 I35.7 50 44. I 23.5 o10 97.i 5i.6 70 i5o.i 79.8 3o 203.I Io8.o 9o 256.I i36.i 5i 45-.o 23.9 ii 98. 52.1 I71 I5I.0 80.3 231 204.0 io8.4 291 256.9 I36.6 52 45.9 24.4 I2 98.9 52.6 72 I5I.9 80.7 32 204.8 0o8.9 92 257.8 I37.-I 53 46.8 24.9 I 3 99.8 53.I 73 I52.7 8I.2 33 205.7 I09.4 93 258.7 I37.6 54 47.7 25.4 I4 o100o.7 53.5 74 i53.6 81.7 34 206.6 I09.9 94 259.6 i38.o 55 48.6 25.8 I Sioi.5 54.0 75 i54.5 82.2 35 207.5 i io3 95 260.5 i 38.5 56 49.4 26.3 i6 102.4 54.5 76 i55.4 82.6 36 208.4 IIO.8 96 26I.4 I39.0 57 5o.3 26.8 17 Io3.3 54.9 77 i56.3 83. i 37 209.3 I i.3 97 262.2 139.4 58 5I.2 27.2 i8 104.2 55.4 78 I57.2 83.6 38 2IO.I 111.7 98 263.1 139.9 59 52.I 27.7 19 io5.i 55.9 79 I58.o 84.o 39 2II.0 II2.2 99 264.o 14o.4 6o 53.o0 28.2 20 Io6.o 56.3 80 I58.9 84.5 4o 21I.9 II2.7 3oo 264.9 i4/o.8 Ds.IDpLa.D ist. Dep.La.Ds.ep Lat. Dist. Dep. L t. Dist. Dep.Lat. Lat. [For 62 Degrees. TABLE II. rpage. 45 Difference of Latitude and Departure for 29 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat, Dep. I 00.9 oo. 5 6 I 53.4 29'.6 I2II o5.8 58.7 i8 I I58.3 87.8 241 2Io.8 I I6.8 2 i01.7 o01.0 62 54.2 3o. I 22 o106.7 59. I 82 159.2 88.2 42 21].7 I 17.3 3 02.6 oi.5 63 55. I 3o.5 23 107.6 59.6 83 i6o.i 88.7 43 2I2.5 117.8 4 o3.5 OI.9 64 56.o 3i.o 24 io8.5 6o.i 84 160.9 89.2 44 2I3.4 I I8.3 5 o4.4 02.4 65 56.9 3i.5 25 Io9.3 6o.6 85 i6i.8 89.7 45 2 I 4.3 I i8.8 6 o5. 2 02.9 66 57.7 32.0 26 I1o0.2 6r. I 86 162.7 90.2 46 2I5.2 II9.3 7 o6. I o3.4 67 58.6 32.5 27 iii.i 6i.6 87 i63.6 90.7 47 2I16.0 I I9.7 8 07. 0 o3. 68 59.5 33.o 28 II2.0 62.1 I 88 i64.4 91.1I 48 2i6.9 I 20.2 9 o7.9 o44 69 60.3 33.5 29 II2.8 62.5 89 I65.3 91.6 49 217.8 120.7 1 oo8.7 o4.8 7o 6I.2 33.9 3o 03.7 63.o 9o I66.2 92.I 5o 2I8.7 I21.2 63. o 1916. 92.6 25I 2i9.75.. II og09.6 05.3 7I 62.1 34.4 13I iI4.6 63.5 I9i I67.1 92.6 25 2019.5 2I1.7 I2 io.5 o5.8 72 63o 34.9 3 2 15.4 64.o 92 167.9 93.1 52 220.4 I22.2 I3 I I.4 o6.3 73 63.8 35.4 33 I i6.3 64.5 93 i68.8 93.6 53 22I.3 I22.7 I4 I2.2 o6.8 74 64.7 35.9 34 II7.2 65.0 94 I69.7 94.I 54 222.2 1 23.I I I3. I o7.3 75 65.6 36-:4 35 I i8. I65.4 95 170.6 94.5 55 223.0 123.6 i6 I4.o o7.8 76 66.5 36.8 36 18.9 65.9 96 I71.I4 95.0 56 223.9 124.1 I7 I4.9 o8. 2 77 67.3 37.3 37 II9.8 66.4 97 172.3 95.5 57 224.8 I 24.6 I8 15.7 o8.7 78 68.2 37.8 38 I 20.7 66.9 98 I73.2 96.0 58 225.7 125.1 I9 I96.6 09.2 79 69.I 38.3 39 I2I.6 67.4 99 I74.0 96.5 59 226.5 I25.6 20 I7.5 09 7 8o 70.0 38.8 40 122.4 67.9 200 I74.9 97.o 6o 227.4,26.I 21I I8.4 o1 2 8i 70.8 39.3 I4i I23.3 68.4 20I 75.8 97.4 261 228.3 i26.5 22 19.2 IO.7 82 7I.7 39.8 42 I24.2 68.8 02 I76.7 97.9 62 229.2 I27.0 23 20. I 11.2 83 72.6 4.2 43 I25. I 69.3 o3 1 77.5 98.4 63 230.0 127.5 24 2I.0 ii.6 84 73.5 40.7 44 T25.9 69.8 o4 I 78.4 98.9 64 230.9 I28.0 25 21.9 12. I 85 74.3 4I.2 45 126.8 70.3 05 I79.3 99.4 65 23I.8 128.5 26 22.7 I2.6 86 75.2 41 7 46 I27.7 70.8 o6 180.2 99.9 66 232.6 I29.0o 27 23.6 I3. I 87 76..3 o7 i8i.o ioo.4 67 233.5 I 29.4 28 24.5 i3.6 88 77.0 42.7 48 129.4 71.8 o8 I8I.9 Ioo.8 68 234.4 I29.9 29 25.4 I4. I 89 77.8 43. I 49 i30.3 72.2 og9 182.8 ioi.3 69 235.3 i30o.4 30 26.2 14.5 90 78.7 43.6 50 I31.2 72.7 Io 183.7 ioi.8 70 236.I I30.9 31 27. I 5.o 91 79.6 44. I i5i I32.1 73.2 2II I 84.5 I02.3 271 237.0 i3i.4 32 28.o I5.5 92 8o.5 44.6 52 132.9 73.7 I2 i85.4 I02.8 72 237.9 I3I.9 33 28.9 i6.o 93 8i.3 45. I 53 i 33.8 74.2 I3 I86.3 Io3.3 73 238.8 I32.4 34 29.7 i6.5 94 82.2 45.6 54 I34.7 74.7 I4 I87.2 Io03.7 74 239.6 I32.8 35 3o.6 I7.0 95 83. I 46. I 55 I35.6 75. I I 5 i88.o Io4.2 75 240.5 I33.3 36 3i.5 I7.5 96 84.o 46.5 56 i36.4 75.6 i6 I88.9 104.7 76 241.4 I33.8 37 32.4 I7.9. 97 84.8 47. o 57 I37.3 76. I 17 i89.8 Io5.2 77 242.3 I34.3 38 33.2 i8.4 98 85.7 47.5 58 I38.2 76.6 I 8 I g90.7 Io5.7 78 243. I I 34.8 39 34. I I8.9 99 86.6 48.o 59 I39.1 77 1 I9 i9I.5 Io6.2 79 244.o I35.3 40 35.o 19.4 Ioo 87.5 48.5 60 I39.9 77.6 20 192.4 l06.7 80 244.9 135.7 4i 35.9 I9.9 IOI 88.3 49.o i6i I4o.8 78. I 22I 193.3 107.I 28I 245.8 I36.2 42 36.7 20.4 02 89.2 49.5 62 I41.7 78.5 22 I94.2 I07.6 82 246.6 I36.7 43 37.6 20.8 o3 9go. I 49.9 63 142.6 79.0 23 I95.0 io8.i 83 247.5 I37.2 44 38. 5 21.3 o4 9I. o 50o.4 64 i43.4 79.5 24 I 99 io8.6 84 248.4 1 37 7 45 39.4 2I.8 o5 91.8 50.9 65 I44.3 80.o 25 I 96.8 I09.I 85 249.3 I38.2 46 40.2 22.3 o6 92.-7 5.4 66 I45..2 8o.5 26'97.7 iog9.6 86 250.I 138.7 47 4.i.I22.8 07 93.6 5I.9 67 I46. I 8i.o 27 I98.5 IIO.I 87 25i.o I39.I 48 42.0 23.3 o8 94.5 52.4 68 I46.9 81.4 28 Igg99.4 I io.5 88 25I.9 I39.6 49 42. 9 23.8 o9 95.3 52.8 69 147.8 8I.9 29 200.3 I I I.0 89 252.8 i4o. 5So 43.7 24.-2 IO 96.2 53.3 70 I48.7 82.4 30 20I.2 I 11.5 9o 253.6 i40.6 IS 44.6 24 -. 7 III 97 S.53.8 17I i49.6 82.9 23 202.0 112.0 291 254.5 14I.I ~~~~~~~~~~.138 I 682. 23I 2 s. T I -8'.29 52 45.5 25.2 I2 98.0 54.3 72 i5o.4 83.4 32 202.9 I I2.5 92 255.4 i4i.6 53 46.*4 25.7 I3 98.8 54.8 73 J5i.3 83.9 33 203. 113.0 93 256.3 I42.0 54 47.*2 26.2 i4 99.7 55.3 74 1J52.2 84.4 34 204.7 I i13.4 94 257.1 I42.5 55 48. I 26.7 I5 Ioo.6 55.8 75 i53. I 84.8 35 20o5.5 1i3.9 95 258.o i43.o 56 49.0 27. I i6 ioi.5 56.2 76 I53.9 85.3 36 206.4 I I4.4 0 258.9 i43.5 57 49.9 27.6 I7 I02.3 56.7 77 1i54.8 85.8 37 207.3 I I4.9 97 259.8 i44.0 58 50.7 28.I i8 io3.2 57.2 78 55.7 86.3 38 208.2 II5.4 98 260.6 i44.5 59 5I1.6 28.6 19 I04. 57.7 79 i56.6 86.8 39 20o9.0 I I5.9 99 26I.5 i45.o 6o 52.5 29.1 20 IO5.o 58.2 8o 57.4 87.3 40 20o9.9 II6.4 300 262.4 345.4 Dist59. 5 9.. Io.[80 _iI7. e8 Dit ep a.Dist. De.pa. Di Lat. Dep. Lat. Dist. Dep. Lat. DDist. Dep. Lat. rJD —st.D-p.-Lak~~~~~~ ~[For 61 Degrees. Page 46] TABLE II Difference of Latitude and Departure for 30 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist.| Lat. Dep. Dist. Lat. Dep.. _ _......... _. _.._o —7 Io00.og9 oo.5 6i 52.8 30.5 I21 io4.8 60.5 18 I56.8 90.5 24I 208.7 I20.5 2 01I.7 oI.o 62 53.7 3I.0 22- I05.7 6i.o 82 157.6 9I.o 42 209.6 I21.0 3 o02.6 -oI.5 63 54.6 3I.5 -23 Io6.5 6i.5 83 I 58.5 9I.5 43 210.4 I2I.5 4 o3.5 o2.o 64 55.4 32.0 24 1I07.4 62.0 84 I59.3 92.0 44 2I.3 I22.e 5 o4.3 02.5 65 56.3 32.5 25 Io8.3 62.5 85 I60.2 92.5 45 212.2 122.5 6 05.2 o3.o 66 57.2 33.0 26 Iog9.I 63.o 86 I6i.I 93.0 46 2I3.o I23.o 7 o6. I o3.5 67 58.0 33.5 27 II0o.o0 63.5 87 I61.9 93.5 47l 213.9 i23.5 8 o6.9 o4.o 68 58.9 34.o 28 o10.9 64.o 88 162.8 94.0 48 2I4.8 I24.o 9 o7.8 o4.5 69 59.8 34.5 29 111.7 64.5 89 I63.7 94.5 49 215.6 124.5 IO o8.7 o5.o 7o 60.6 35.0 3o0 II2.6 65.o 9o I 64.5 95.0 50 2I6.5 I25.0 II o9.5 o 5.s 71 6.5 35.5 I3I 1i3.4 65.5 191'65.4 95.5 251 217.4 I25.5 I2 IO.4 o6.o 72 62.4 36.o 32 114.3 66.o 92 I66.3 96.o 52 2I8.2 I26.o I3 II.3 o6.5 73 63.2 36.5 33 15.2 66.5 93 I67.I 96.5 53 2I9.I 126.5 14 12.1 07.0 74 64.I 37.o 34 Ii6.o 670.o 94 68.o 97.o 54 220.0 127.0 I5 I3.o 0o7.5 75 65. o 37.5 35 116.9 67.5 95 I68.9 97.5 551 220.8 127.5 I6 13.9 o8.o 76 65.8 38.o 36 I7.8 68.o 96 169.7 98.o0 56 221.7 I28.o0 7 4.7 o'08.5 77 66.7 38.5 37 II'8.6 68.5 97 I70.6 98.5 57 222.6 I28.5 i8 I5.6 og9. 78 67.5 39.o 38 IIg.5 69.o 98 I7I.5 99.o 58 223.4 I29.o I9 I6.5 09.5 79 68.4 39.5 39 1I20.4 69.5 99 I72.3 99.5 59 224.3 I29.5 20 I7.3 Io.o 80 69.3 4o0.0o 4o 12I.2 70.0 200 1o73.2 I0.o 60 225.2 I30.0 21 I8.2 10.5 81I 70.1 401 5 I.5 122.I1 70.5 20I 174 1oo00.5 26I 226.o I30.5 22 I9.I II.0 82 71.0 4I.o 42 123.o 71.0 02 174.9 IOI.O 62 226.9 I3I.o 23 I9.9/ II.5 83 7I.9 4I.5 43 123.8 71.5 o3 I75.8 ioi.5 63 227.8 131.5 24 20.8 12.o0 84 72.7 42.0 44 124.7 72.0 o4 I76.7 I02.o 64 228.6 I32.0 25 21.7 I2.5 85 73.6 42.5 45 I2'5.6 72.5 o5 177.5 102.5 65 229.5 I32.5 26 22.5 i3.o 86 74.5 43.o 46 126.4 73.0 o6 178.4 Io3.o 66 230.4 133.o 27 23.4 1i3.5 87 75.3 43.5 47 I27.3 73.5 07 179.3 Io3.5 67 23I.2 I33.5 28 24.2 I4.o 88 76.2 44.o0 48 1I28.2 74.0 o8 80o.i io4.o 68 232.1 i34.o 29 25.I I4.5:89 77-. 44.5 49 129.o0 74.5 og i8.o Io4.5 69 233.o I34.5 30 26.o I5.o 90o 77.9 45.0 50 I29.9 75.0 Io I 8.9 Io5.o 70 233.8 35.o 3I 26.8 I5.5 91 78.8 1 45.5 II 130,8 75.5 2II o82.7 I io5.5 271 234.7 135.5 32 27 7 I6.0 92 79.7 46.o 52 i3i.6 76.o 1/2 I83.6 Io6.o 72 235.6 I36.o 33 28.6 i6.5 93 8o.5 46.5 53 132.5 76.5 13 i84.5 I o06.5 73 236.4 IJ36.5 34 29.4 I7.0 94 8i.4 47.0 54 i33.4 77.0 I4 I85.3 107.0 74 237.3 37.o0 35 30.3 17.5 95 82.3 47.5 55 I34.2 77.5 5 I86.2 I 07.5 75 238.2 i37.5 36 31.2 I8.o 96 83.i 48.o 56 I35.I 78.o I6 187.I Io8.o 76 239.o0 38.o 37 32.0o 8.5 97 84.o 48.5 57 I36.o 78.5 17 I87.9 io8..5 77 239.9 I38.5 38 32.9 I9.o 98J 84.9 49.0 58 i36.8 79.0 i8 I88.8 og9.o 78 240.8 I39.0 39 33.8 I9.5 99 85.7 49.5 59 137.7 79.5 I9 I89-7- jog.5 79 24I.6 I39.5 40 34.6 20.0 Ioo 86.6 50o.o 60 38.6 80.o 20 I90.5 Io0.0 80 242.5 I40.0 41 35.5 20.5 IOI 87-5 50.5 I6I i39.4 80.5 22iI 191.4 I-io.5 28I 243.4 I4o.5 42 36.4 21.0 02 88.3 5i.0o 62 I40.3 8I.o 22 192.3 III.O 82 244.2 I4I.O 43 37.2 21.5 o3 89.2 15.5 63 141.2 8I.5 23 I93.1I II.5 83 245.I I4I.5 44 38.I 22.0 o4 9o.I 52.o 64 I42.o 82.0 24 194-o II.o0 84 246.o I42.0 45 39.0 22.5 o05 90.9 52.5 65 142.9 82.5 25 I94.9 II2.5 85 246.8 I42.5 46 39.8 23.o o6 9.8 53.0o 66 I43.8 83.o 26 195.7 ii3.o 86 247-7 I43.o 47 4o.7 23.5 o7 92.7 53.5 67 144.6 83.5 27 1 96.6 I I3.5 87 248.5 I43.5 48 4I.6 24.0o o8 93.51 54.0o 68 I45.5 84.o 28 1 97.5 II4.o 88 249.4 [44.o 49 42.4 24.5 o9 94.4 54.5 69 i46.4 84.5 29 I98.3 II4.5 89 250.3 144.5 50 43.3 25.0 io 95.3 55.o 70 147.2 85.o 30 I99.2 II5.o 90 25I.I I45.o 51 44.2 25.5 III 96., 55.5 171 I4 85.5 3 231 200.I 115.5 291 252.0 i45.5 52 45.0 26.0o 12 97. *56.o 72 149.0 86.o 32 200.9 I6.o0 92 252.9 i46.o 53 45.9 26.5 3 97.9 56.5 73 i49.8 86.5 33 20o.8 II6.5 93 253.7 I46.5 54 46.8 27.0'4 98.7 57.o * 74 i 5o.7 87.o 34 202.6 II7.0 94 254.6 147.0 55 47.6 27.5 i5 99.6 57.5 75 I5r.6 87.5 35 203.5 117.5 95 255.51 47.5 56 48.5 28.o i6 ioo.5 58.o 76 152.41 88.o 36 204.4 I8.0o 96 256.3 i48.0o 57 49.4 28.5 17 I o0.3 58.5 77 i53.3 88.5 37 205.2 II 8.5 97 257.2 i48.5 58 50o.2 29.0 i8 102.2 59.0 78 154.'2 89.o 38 206.1 II9.o 98 258.I 149.0 59 5 I.I 29.5 i9 io3.i 59.5 79 -i55.o 89.5 39 207.0 II9.5 99 258.9 i49.5 6o 52.0 3o.o 20 1o3.9 6o.o. 8o iS.9 9o 40 120. 0 3oo o 60''5 30. o 20 I03.960.C 801 55.9 90-.0 40 207.8 I20.0 300 259. I 5o.o Dis.t D at. L Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lbat. Dist. Dep. b Lat. [For 60 Degrees. TABLE II. [L'oge47 Difference of Latitude and Departure for 31 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. L La t. Dep. Dist. Lat. I Dep. I oo.g oo00.5 6i 52.3 31.4 I2I I03.7 62.3 I81 155.I 93.2 241 206.61 I24.I 2 01.7 OI.o 62 53.x 3I.9 22 io4.6 62.8 82 i56.o 93.7 42 207.4' I,24.6 31 2.6 oi.5 63 54.o0 32.4 23 Io5.4 63.3 831 i56.9 94.3 43 208.3'I25.2 4 o3.4 02. I 64 54.9 33.o 24 Io6.3 63.9 84 1 57.7 94.8 44 209.I1I 25.7 5 o4.3 o2.6 65 55.7 33.5 25 I07.I 64.4 85 158.6 95.3 45 2 I 0.0 I26.2 6 o5. 03. 66 56.6 34. o 26 io8.o 64.9 86 159.4 95.8 46 21o.9 I26.7 7o6.o o3.6 67 57.4 34.5 27 1o8.9 65.4 87 I 6o.3 96.3 47 211.7 127.2 8 o6.9 o4.I 68 58.3 35.o 28 o09.7 65.9 88 I61.1 96.8 48 212.6 127.7 9 07.7 o4.6 69 59.I 35.5 29| iiO.6 66.4 89 62.o 97.3 49 213.4 I28.2 Io o8.6 o5.2 70 6o.o 36. I 30 Iii.4 67 o 90 62.9 97.9 50 2 4.3 I28.8 II9 9.4 05.7 7I 60.9 36.6 I3I 112.3 67.5 IgI 163.7 98.4 251 2I5. I 29.3 I2 io.3 o6.2 72 61.7 37.1 32 II3. I 68.o 92 i64.6 98.9 52 216.0 I129.8 13 Ii.i o6.7 73 62.6 37.6 33 I I4.o 68.5 93 i65.4 99.4 53 2 I 6.9 13o.3 I4 12.0 o7.2 74 63.4 38. 34 I4.9 69. o 94 I66.3 99.9 54 2I7.7 I30.8 I5 IS12.9 07-7 75 64.3 38.6 35 II5.7 69.5 95 I67.I ioo.4 55 218.6 I3i.3 i6 I3.7 08.2 76 65. I39. 36 i 6.6 70.0 96 I 68.o 100.9 56 219.4 I3I.8 7 I4.6 o8.8 77 66.o 39.7 37 117.4 70.6 97 168.91 ioI.5 57 220.3 132.4 I8 i5.41 9.3 78 66.9 40.2 38 II8.3 7I I 98 I69.7 102.0 58 221.I I.32.9 I9 i6.3 09.8 79 67.7 40.7 39 1l9.1 71.6 99 170.6 I02.5 59 222.0 J33.4 20 17.1 io.3 80 68.6 4I.2 4o 120.0 72.1 200 17I.4 io3.o 60 222.9 I33.9 21 I8.o IO.8 8i 69.4 41.7 14i I20.9 72.6 201 I72.3 I03.5 261 223.7 I34.4 22 I8.9g i.3 82 70.3 42.2 42 12I.7 73. I 02 173.I io4.o 62 224.6 134.9 23 19.7 II.8 83 7I.1 42.7 43 I22.6 73.7 o3 174-0 io4.6 63 225.4 135.5 24 20;.6 I2.4 84 72.o 43.3 44 I23.4 74.2 o4 I74.9 io5.I 64 226.3 136.0 25 21.4 I12.9 85 72.9 43.8 45 I24.3 74.7 o5 175.7 io5.6 65 227.-I 36.5 26 22.3 3.4 86 73.7 44.3 46 125.1 75.2 o6 176.6 1I6.I 66 228.o 1 37.0 27 23.I 13.9 87 74.6 44.8 47 I26.0 75.7 07 I77.4 I06.6 67 228.9 137.5 28 24.0o i.4 88 75.4 45.3 48 1 26.9 76.2 o8 178.3 I07. I 68 229.7 I38.o 29 24.9 4.4 89; 76.3 45.8 49 127.7 76.7 09 179 10o7.6 69 230.6 i38.5 30 25.7.5 9go 77.1 46.4 50 128.6 77.3 I I80.o0 o08.2. 70 231.4 I39.I 3I 26.6 i6.o 9I 78.0 46. I5 I29. 4 77.8 2II 180.9 108.7 271 232.3 I39g6 32 27.4 i6.5 92 78.9 47.4 52 30.3 78.3 I2 I8I.7 109.2 72 233.I i40.I 33 28.3 I70o 93 79.7 47. 9 53 I3I. 78.8 I3 I82.6 I09.7 73 2.34.o I4o.6 34 29.1 7. 5 94 8o.6 48.4 54 I32.o0 79.3 I4 183.4 110.2 74 234.9 I4I.I 35 3o.o i8.o 95 8.4 48.9 55 32.9 79.8 I5 i84.3 11o.7 75 235.7 i4i.6 36 30.9 i8.5 96 82.3 49.4 56 133.7 8o.3 i6 I85.II r1I.2 76 236.6 I42.2 37 31.7 I 97 83. i! 50.0 571I34.6 80.9 I7 I86.o I I.8 I77 237.4 142,7 38 32.6 19.6 98 84.o 50.5 58 I35.4 8i.4 18 I86.9 Ir2.3 78 238.3 I43.2 39 33.4 20.1 99 84.9 5I.o 59 I36.3 8I.9 I9 I87-7 I 2.8 79 239.I I43.7 40 34.3 20o.6 00 85.7 5I.5 6o1 I37.1 82.4 260 188.6 II3.3 80 240.0 144.2 4 35.I 21.1 IoI 86.6 52.0 i6i I38.0o 82.9 22I I89.4 I 3.8 28I 240.9'44.7 42 36.Q! 2I.6 G2 87.4 52.5 62 138.9 83.4 22 1I90.3 I4.3 82 241.7 I45.2 43 36.9' 22.1 o3 88.3 53.o 63 I39.7 84.o 23 I9I.I II14.9 83 242.6 i45.8 44 37 7 2 2.7 o4: 8. I 53.6 64 i40o.6 84.5 24 I 92.o0 15.4 84 243.4 i46.3 45 38.6 23.2 o5 90.o0 54.1 65 14I.4 85.o 25 192.9 i 5.9 85 244.3 I46.8 46 39.4 23;7 o6 o90. 54.6 66 142.3 85.5 26 Ig3.7 I6.4 86 245.I 147.3 47) 4.3 24.2 07 91.7 55.I 67 143. I86.o 27 I94.6 1I6.9 87 246.o I47.8 48 41I. I 24.7 o8 92.6 55.6 68 i44.o 86.5 28 I95.4 117.4 88 246.9 i48.3 49 42.0 25.2 09 93.4 56. i 69 I44.9 87.0 29 I96.3 I I7.9 89 247.7 I48.8 50 42.9 25.8 IO 94.3 56.7 70 145.7 87.6 30 197-1 i i8.5 90 248.6 I49.4 5i 43.7 26.3 Ii 95. I 57.2 171i 46.6 88. I 23 1 98.0 I 19.0 29I 249.4 I49.9 52 44.6 26.8 12 96. 57.7 72 I47.4 88.6 32 i 98.9 I I9.5 92 250.3 i5o.4 "3 45.4 27.3 13 96.9 58.2 73 I48.3 89. I 33 I99-7 I20.0 93 25I.2! 50.9 54 46.3 27.8 I4 97.*7 58.7 74 149.,189.6 34 200.6 120.5 94 252.0 i5i.4 55 47.I 28.3 I5 98.6 59.2 75 50.oo 90.1 35 201.4 I2I.o 95 252.9 5 1.9 56 1 48. 1o 2 8 I 6 99*.4 5997 76 I 50o.9 9o.6 36 202.3 I 2I.5 96 253.7 152.,, 57 | 48'9 29.4 I7: I00.3 60.3 771 I5I*79. 2 37 203.I I22.I 97 254.6: 53.0 58 (497 291 9 I81 ioI.. I 6o.8 78 I52.6191.7 38 204.0 122.6 98 255.4; I53.5 559 150.6 30.4 Ig I02.0 6I.3 79 J 53.4192.2 39 204-9 I23.i 99 256.3 | I54.C in I;r.41 3 26 io2.9 61.8 80 I54.3 92.7 40 205.7 123.6 300 257.1 I54.5 [~For 59 Degrees. Puge 48] TABLE II. Difference of Latitude and Departure for 32 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist.! Lat. Dep, I oo.8 oo.5 6I 51.7 32.3 12I I02.6 64.I I8I 153.5 95.9 241 204.4 127.7 2 1.7 oI.I 62 52.6 32.9 22 io3.5 64.7 82 I54.3 96.4 42 205.2 128.2 3 o2.5 oi.6 63 53.4 33.4 23 Io4.3 65.2 83 155.2 97.0 43 206.1 28.8 4 o3.4 02.1 I 64 54.3 3'3.9 24 I05.2 65.7 84 I56.o 97.5 44 206.9 129.3 5 o4.2 02.6 65 55.1 34.4 25 io6.o 66.2 85 1I56.9 98.0 45 207.8 129.8 6 5. I 03.2 66 56.o 35.0 26 106.9 66.8 86 157-7 98.6 46 208.6 I3o.4 7 05.9 03.7 67 56.8 35.5 27 10o77 67.3 87 I 58.6 99 I 47 209.5 I30.9 8 o6.8 04.2 68 57.7 36.0 28 io8.6 67.8 88 I 59.4 99.6 48 2Io.3 I31.4 9 07.6 o4.8 69 58.5 36.6 29 o09.4 68.4 89 I6o.3 100.2 49 2I I.2 13I.9 io o8.5 o5.3 70 59.4 37.1 30 IIO.1102 68.9 9o i61.I I00.7 50 212.0 132.5 i og9.3 o5.8 71 60.2 37.6 I3I III.I 69.4 IgI I62.0 101.2 25I 2I2.9 I33.o 1I2 IO.2 o6.4 72 6i. I 38.2 32 11I.9 69.9 92 I62.8 10II.7 52 213.7 I33.5 13 II.0 o6.9 73 6i.9 38.7 33 II2.8 7034. I4 II.9 07.4 74 62.8 39.2 34 II3.6 7I.0 94 I64.5 I02.8 54 2I5.4 I34.6 I 5 12.7 07. 75 63.6 39.7 35 I 4.5 7I.5 95 I65.4 Io3.3 55 2I6.3 I35.1 I6 i3.6 o8. 76 64.5 4o.3 36 II5.3 72.1 96 I66.2 103.9 56 2I7.I I35.7 I7 I4.4 09.0 77 65.3 4o.8 37 116.2 72.6 97 167.I Io4-4 57 217.9 I36.2 I8 15.3 09.5 78 66.I 4i.3 38 II7.0o 73.I 98 I67.9 Io4.9 58 2 I8.8 1I36.7 9 i6. I IO.I 79 67.o 4I'.9 39 17.9 73.7 99 I68.8 Io5.5 59 219.6 137.2 20 I7.o io.6 80 67.8 42.- 4 40 I18.7 74 2oo00 69.6 Io6.6 60 220.5 I37.8 21 I7.8 II.I 8i 68.7 42.9 I4I II9.6 74 7 20I 170.5 io6.5 26I 22I.3 I38.3 22 18..7 11. 82 69.5 43.5 4 120.4 75.2 02 171.3 107.0 62 222.2 138.8 23 19Ig.5 I2.2 83 70.4 44.o 43 12I1.3 75.8 o3 I72.2 I07.6 63 223.0 139.4 24 20.4 I2.7 84 71.2 44.5 44 I22.1 76.3 o4 173.o Io8.i 64 223.9 I39.9 25 2.2 I3.2 85 72.1 45.0o 45 123.0 76.8 o5 173.8 io8.6 65 224.7 i4o.4 26 22.0 i3.8 86 72.9 45.6 46 123.8 77.4 o6 174.7 og9.2 66 225.6 i4i.o 27 22.9 I4.3 87 73.8 46.I 47 124-7 77.9 07 175.5 109.7 67 226.4 I41.5 28 23.7 I4.8 88 74.6 46.6 48 125.5 78.4 08 176.4 I Io.2 68 227.3 142.o 29 24.6 I5.4 89 75.5 47.2 49 I26.4 79.0 09 177.2 II0o.8 69 228.I i42.5 30 25.4 I5.9 "90 76.3 47.7 So 127.2 79.5 10 I78. I I1I.3 70 229.0 I43,i 3I 26.3 6.4 91 77.2 48.2 I5 128. I 80.o 2II I78.g III.8 271229.8 I43.6 32 27.1 17.0 92 78.o 48.8 52 128.9 80.5 I 2 I79.8 I 2.3 72 230.7 I44-I 33 28. o 17.5 93 78.9 49.3 53 29.8 8 I. 13 80o.6 I12.9 73 231.5 I44-7 34 28.8 i8.o 94 79.7 49.8 54 i3o.6 8i.6 I4 i8i.5 I I3.4 74 232.4 I45.2 35 29.7 I8.5 95 80.6 50o.3 55 i3i.4 82. I I5 182.3 1II3. 75 233.2 I45.7 36 30.5 9.i I 96 8.4 5o.9 56 I32.3 82 I6 83.2 I4.5 76 234.1 I46.3 37 3i.4 19.6 97 82.3 5i.4 57 i33. 83.2 I7 i84.o ii5.o 77 234.9 i46.8 38 32.2 20o.I 98 83.I 5I.9 58 I34.o 83.7 8 I84.9 I I5.5 78 235.8 1I47.3 39 33. I 20o.7 99 84.o 52. 59 I34.8 84.3 I9 i85.7 II6.I 79 236.6 147.8 40 33.9 2I.2 Ioo 84.8 53.o 6o 135.7 84.8 8 0 86.6 II6.6 80 237.5 i48.4 4I 34.8 21.7 IOI 85.7 53.5 I61 I36.5 85.3 221 I87.4 II7.1 28I 238.3 148.9 42 35.6 22.3 02 86.5 54. I 62 137.4 85.8 22 I88.3 1 I 7.6 8 239.I I49.4 43 36.5 22.8 o3 87.3 54.6 63 138.2 86.4 23 189.1I I8.2 83 240.0 I5o.o 44 37.3 23.3 o4 88.2 55.I 64 139. 86.9 24 I9o.o I8.7 84 240.8 I5o.5 45 38.2 23.8 o5 89.o 55.6 65 I39.9 87.4 25 190.8 I19.2 85 241.7 I5I.o 46 39.0 24.4 o6 89.9 56.2 66 i4o.8 88.0 26 Ig9.7 119g.8 86 242.5 I5I.6 47 39.9 24.9 07 90.7 56.7 67 i4I.6 88.5 27 I92.5 I20.3 87 243.4 I52.I 48 40o7 25.4 o8 g9.6 57. 2 68 I42.5 89.0 28 1 93.4 1 20o.8 88 244.2 I52.6 49 4I.6 26.0 09 92.4 57.8 69 143.3 89.6 29 I94.2 121.4 89 245.I I53.I 50 42.4 26.5 I 93.3 58.3 70 144.2 90o.1 30 I95. 121.9 9go 245.9 I53.7 5i 43.3 27.0 III 94. 58.8 17I I45.o 90.6 231 I95.9 122.4 29I 246.8 154.2 52 44.I 27.6 I2 95.0 59.4 72 i45.9 91I. 32 I96.7 122.9 92 247.6 i54.7 53 44.9 28. I I 3 95.8 59.9 73 I46.7 91.7 33 197.6 I 23.5 93 248.5 t55.3 54 45. 8 28.6 I4 96.7 60.4 74 I47.6 92.2 34 I 98.4 I 24.o 94 249.3 i55.8 55 46.6 29. I I5 97.5 60. 75 I48.4 92.7 35 199.3 1 24.5 95.250.2 I 56.3 56 47.5 29.7 I6 98.4 6i. 76 I49.3 93.3 36 200.1 I125. 96 251.o0 156.9 57 48.3 30.2 17 99.2 62.0 77 50o. 93.8 37 201.0 125.6 97 251.9 I 57.4 58 49.2 30.7 I8 Ioo. I 62.5 78 I5i.o 94.3 38 20.8 126.I 98 252.7 I57.9 59 5o. 3.3 I 9 oo00.9 63. I 79 I5i.8 94.9 39 202.7 1 26.7 99.253.6 I58.4 6o 50.9 3i.8 20 ioi.8 63.6 80 I52.6 95.4 40 203.5 I27-2 300 254.4 i59.o Dist. Dep.l Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. bLat. Dist. Dep. Lat. [For 58 Degrees. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~.... TABLE II. [Page 49 Diftfrence of Latitude and Departure for 33 Degrees. Dist.' Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist.:Lat. Dep. Dist.1 Lat, ep.' i 00.8 00. 5 61' 51".2 33.2 1i5. oi 0.5 65.9 i8i i51.8 9816 2TI 202.1 xil.3 o0.7 01.I 62 52.o 33.8 22 102.3 i 66.4 82 152.6 99.1 42 203.0 131.8 3 o2.5 oi.6 63 52.8 34.3 23 3o3.2 67. o 83 i53.5 99'7 43 203.8 1.32.3 4 0.o4 02.2 64 53.7 34. 24 Io4.o 67.5 84 154.3 10oo.2 44 004.6 i32.9 5 02 -7 65 54.5 35. 25 1o4.8 68.I 85 155.2 ioo.8 45.205.5 133.4 6 05 o o3'3 66 55.4 35.9 26 Io5. 7 68. 6 656.o ioi.3 46 2o6.3 134.o 710 103,8 67:56.2 36.5 27 Io6.5 69.2 87 156.8 iol.8 47 207.o,34.5 8 o6-7 04.4 68 57.0 37.0 28 Io7.3 69.7 88 157.7 1O2.4 48 2o8.o i35.i O9 07-504'9 69 57'9 37.6 29 io8.: 70.3 89 I58.5 1O0.9 49 208.8 i35-6 i 4o5:4 70 58.7 38.z 30 Io9.o 70.8 9~ 159.3 io3.5 5o 2097 I36.2,1 o9.9- 06.o 71-59.5-38.7 I31 i09.9 71.3 i9i i6o.2 Io4.o 25I 2io.5'36. 7,i 2o.i o6.5 72 60.4 39.2 32 IIO.7 71.9 92 i61.o i O4.6 52 1ii.3 1i37.2,3 Io.9 o7. 1 73 6i.2 39.8 33 iii.5 72.4 93 16i.9 io5.i 53 1 2I2.2 37.8 z4 IZ.7 07.6 74 62.. I40.3 34 1 I.4 73.0 94 162.7 lO5.7 54 213.o i38.3 15 rz.61o8.2 75 62.9 4o. 8 35 i i3.2 73.5 95 i63.5I625 r~ 3. 616I3.4 o8. 7 76 63.7 41.4 3614. 74., 64.4 O6.7 56 12I47 i39.4 i 652.3 57 9.5.5 i4o.o 17 i4.3 09.3 77 64.6 4i.9 37 11'4.9 74.6 97 165.107 21o.3: 18 15.z 09.8 78 65.4 42.5 38,,5.7 75. 2 98 i66.l O 7.8 58 916.4 14o.5 ~9 5. io.3 79 66,3 43.0 39,,6.6 75.7 99 i66-9 io874 5 17 1.1 19~ ~ ~ ~ ~ ~ ~~~~~~~~~~~~~~~~ i,5.9 166. 2O8.I 5 7.6 4. 20 1'6.8 lO.9 80 67.I 43.6 401I7. 4 76. 2 ooo!67.7 Io8,9 60 218.1,41.6 o2I 17,6 II'i4 8' I67'44.1 ii4, 18.3 76.8 20, 168.6 1o9.5 26I1218.9 i42.2 [ ai8,5 I2.O 82 68 44 7 42 II9.I 77.3 o91 69.4 ti'$.o 62 219-7 142.7,23 9i.3 125 83 696 45.2 3S: 62 24 o. i i3.1 84 704 45 44 120.o. 78.4 o4 171.I iii. 1 64 22o 0. I43.8 44 1 7.654 171.1 III.I 64 ( 222.42 143.8 25 2I'O,3.6:85 711 46.3 45 I7I.6 79.0 65 71. a i44.3 96 01,28 I4.2 86 72.1 46.8 46 I22.4 79.5 06 1728.812o.2 66 223.i I44.9 2i7 22.6 14..7 87 73. 0 47.4 471203.3 8o. 7 1 i73.6 11.7 67 2~3.9,45.4 9.3.5 5 88 73.8 47. 48 194.1 80.6 08 I74.4 6 i3.3 68 224.8 146 o 25.3 895 74.848 49 I25.o 8. 09 175.3 1,i3.8 69 225.6 i46.5 30 25.2 16 3 90 7515 49.o 50 I25.8 88. 7 1o i76.1,14'4 70 226.4 147.i 3I 26. o i6. 2'7.14~ ~ a66s. II 177.0 II4~0 27I 227.3 i 47.6 9i 76,3 4}9.6 i5i. 12.6.6 82.2.i'7. 12 32 26.8 17 92 77.2 50.i 5 1I27.5 82.8 12 177.8 i15.5 72 228.I i48.i i~~~~~~~~~~~~~~~~~~~~_8.oi322. i48. 33 27.7 182o 93 78.0 50. 7 53 i28.3 83.3 i1378.6 116, o 73 0.0 0 48.7 34 98.5,8.5 94 78.8 5i.2 54,0129.2 83.9 14 179.5 n6.6 74 9.8 149.2 35 29.4 19.,I 95 79.7 51.7 55 i3o.o 84.4 15 18o.3 117.I 75 23o.6 i49.8 3630.~2 9,6 96 80 5 52.3 56 i3o.8 85.0 16 18i.2 i,7.6 76 23i.5 i 5.3 373i.o 0.2o. 97 81.4 50.8 57 131.7 85.5 i7 182.o ii8.2 77 232.3 15o.9 38 3i.20 7 98 82.2 53.4 58 i32.5 86.zi 8 i82.8 i 187 78 233.2 i5i.4 39., 9 20.7 3.4 5 -39 32 21 2I.2 99 83. o 5453.9 5 133.3 86.6 i9 i83.7 1 ig.3 79 234.o 152.o 40 33.5 iz,8 zoo 60 i34.2 87.1 2o i84.5 1ii9.8 80 234.8 152.5.4o 33.5 26i 8.9o4. 34.4 22.. O 84.7 55.0 35.o 87.7 221 i 85.3 12o.4 281 235.7 i53. o 4 135.2 22.9 2o 85.5 55.6 621i35.9 88.2 2.2 i862 I 20. 82 236.5 i053.6 43 1 36. i3.3.4 o3 86.4 56. i 63 36. 88.8 23 187-0 121.? 83 237.3 o54.i:44 36.9 94.0 o4 87.2 56.6 64 137.5189.3 24 187.9 12.o 84 238.2 i,54. 7 45 37.7 24.5 o5 88.,i 57.2 65 i138.4 89.9 2 5 i8-7~ 2 25 85 2398o i55.2 46 38.6 2.5.1 06 88:9 57-7 66 139.2 g90.4 26 i89.5 123., 86 239.9 i55.8 47 39.4- 5.6 07 89.7 58.3 67 J40.I 91.o0 27 1igo.4 I23.6 87 240.7 i56.3 48 4o. 3 26.1i 8 go.6 58.8 68 i4o.9 9i.5 28 i91.2 1 4.2 88. 241.5 i56 49 41.I 27'7 io 9~i.4 59.4 69 14I.7 92. 29 I92.1 124-7 89 242.4 i 571 5o 41.9 27.2 I0 92.3 59.9 70 i42.6GI 928.6 30 i92.9 I25.3 9~ 243.2 i57.9 5, 42.Q127.8 III 93.1160.5 93. 93.1 23i i93 125.8 29I 244.I 158.5 571'8 -'193io. 5 i7 43.4' - 52 43.6 28.3 12 93.9 61.o 72 i44.3 93.-7 32,94.6 126.4 92 244.9 159.o 53 144.428.9,3 94.8 6i.5 73 145.1 1942 33 i95'4 126.9 93 245.7 I59.6 54 45,3 29,4 14 95.6 62.1 74,45.9! 34 z96.2 I97.4 94 2.46.6 i o. 55 46. 30. 0,5 9.4 62.6 75 i46.8 95.3 35 697oj 128.o 95 247.4 i6o. 7 56 47.0 30.5 16 97,3 63.2 76 147.6 36 57 47.8 31.0 17 98.1 63.7 77 148. 4 4z~ 37':19 28.5 I 6 248.2 161.2 37 I9 8 I2.I 97249.I161.8 58 48.6 31.6:,8 99.o 64.3 78 J49.3 29. 59 49.5 32.1!9 99'8 64.8 79 i5o.,i97. 39 200.4 I3o.2 250, i62.8. 9 79 97.? 004 130.2 99 2581699.8 65,6 32.? to,oo.6 65.4 So 35.o 9820 40 io0.3 i3o.7 _ 35::6,03.4 D~st.?De — i-LaLat. Dist. Dep. Lat. Dist. t. I D - Dep. Lat. 5, t. [For 57 Degrees. ~_,....... Page 50] TABLE 11. Difference of Latitude and Departure for 34 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist.| Lat. Dep. I oo.8 oo.6 6I 50.6 34. I2I oo00.3 677 I8I 50o. I iOI.2 241 I99.8 I34.8 2 01.7 OI.I 62 51.4 34.7 22 IOI.1 68.2 82 I50.9 IOI.8 42 200.6 I35.3 3 02.5 01.7 63 52.2 35.2 23 Io2.0 68.8 83 I51.7 102.3 43 201.5 135.9 4 03.3 02.2 64 53. I 35.8 24 102.8 69.3 84 I52.5 102.9 44 202.3 I 36.4 5 o4. I 02.8 65 53.9 36.3 25 io3.6 69.9 85 I53.4 I o3.5 45 2o3. I 37.0 6 o5.o 03.4 66 54.7 36.9 26 104.5 70.5 86 I54.2 i04.o 46 203.9 I37.6 7 o5.8 03. 67 55.5 37.5 27 Io5.3 7I 0 87 1I 55.0 Io4.6 47 204.8 i38.I 8 o6.6 o4. 68 56.4 38.o 28 o6. I 71.6 88 I55.9 I05.I 48 205.6 138.7 9 07.5 o5.o 69 57.2 38.6 29 Io6.9 72.1 89 I56.7 I o5.7 49 206.4 I39.2 IO o8.3 o5.6 70 58.o 39.I 30 I07.O 72.7 90 I57.5 I06.2 50 207.3 I39.8 I I09. I 6.2 71 58.9 39.7 I3I Io8.6 73.3 _Ig I58.3 Io6.8 251 208.I 140.4 I 2 099 06.7 72 59.7 4o.3 32- Iog.4 73.8 92 159.2 I07-4 52 208.9 I40.9 I 3 o.8 07.3 73 60o.5 4. 8 33 IIo.3 74.4 93 I6o.o I07.9 53 209.7 141.5 I4 I I.6 07.8 74 6i.3 41.4 34 III.I 74.9 94 I60.8 Io8.5 54 210.6 I42.0 I 5 I 2.4 o8.4 75 62.2 41.9 35 I1I.9 75.5 95 I6I.7 I09.0 55 2II.4 142.6 I6 I3.3 08.9 76 63.0o 42.5 36 1I2.7 76. I 96 162.5 I09.6 56 2I2.2 I43.2 I7 14.1 09.5 77 63.8 43. 37 I 3.6 76.6 97 I63.3 110.2 57 213.1 143.7 I8 I4.9 IO.I 78 64.7 43.6 38 114.4 77-.2 98 i64.I IIo.7 58 2I3.9 I44.3 I9 I5.8 io.6 79 65.5 44.2 39 115.2 77.7 99 I65.o 111.3 59 2I4.7 I44.8 20 I6.6 11.2 80 66.3 44.7 4o I I6. 78.3 200 I65.8 I i.8 60 2I5.5 i45.4 21 I7.-4 11.7 8I 67.2 45.3 I41 II6.9 78.8 20I I66.6 II2.4 26I 2I6.4 I45.9 22 18.2 12.3 82 68.o 45.9 42 I1I77 79.4 02 167.5 I3.o 62 217.2 146.5 23 I9. I12.9 83 68.8 46.4 43 I 8.6 80.o o3 x68.3 113.5 63 218.0 47.-I 24 I9.9 I3.4 84 69.6 47.0 44 1 I9.4 80.5 o4 I69.1 14.I 64 218.9 i47.6 25 20.7 i4.o 85 70.5 47.5 45 I20.2 8i.i o5 170.0 II4.6 65 2I9.7 i48.2 26 21.6 i4.5 86 71.3 48.I 46 121.o 8i.6 o6 I70.8 115.2 66 220.5 I48.7 27 22.4 I5. I 87 72.1 I48.6 47 12I.9 82.2 07 171.6 i 5.8 67 22I.4 149.3 28 23.2 1I57 88 73.0 49.2 48 122.7 82.8 08 I72.4 I I6.3 68 222.2 I49.9 29 24.0o 16.2 89 73.8 49.8 49 123.5 83.3 09 173.3 116.9 69 223.0 i5o.4 30 24.9 i6.8 90 74.6 50.3 50 124.4 83.9 10 I74-I 117.4 70 223.8 i5i.o 31 25.7 I7.3 91 75.4 50.9 151 125.2 84.4 21I I74.9 II8.o 27I 224.7 1I5.5 32 26.5 I7.9 92 76.3 5I.4 52 I26.0 85.o 12 175.8 II8.5 72 225.5 I52.I 33 27.4 i8.5 93 77.I 52.0 53 126.8 85.6 I3 I76.6 119. 73 226.3 I52.7 34 28.2 I9.o 94 77-9 52.6 54 127.7 86. I 4 I77.4 II9.7 74 227.2 I53.2 35 29.0 I9.6 95 78.8 53.I 55 128.5 86.7 I 5 178.2 120.2 75 228.0 I 53.8 36 29.8 20. I 96 79.6 53.7 56 I29.3 87.2 I6 I79.I 120.8 76 228.8 I 54.3 37 30.7 20.7 97 80.4 54.2 57 I30.2 87.8 17 179.9 121.3 77 229.6 I 54.9 38 3I.5 21.2 98 8I.2 54.8 58 i3I.o 88.4 I8 I80.7 I2I.9 78 230.5 I55.5 39 -32.3 2I.8 99 82. I 55.4 59 I3I.8 88.9 i9 I8I.6 122.5 79 23I.3 I56.o 40 33.2 22.4 100oo 82.9 55.9 6o 32.6 89.5 20. 82.4 123.0 8o 8232.I 56.6 4 34. —o -22.9 I I 83.7 56.5 I6xI 33.5 90.0 221 i83.2 123.6 281 233.0o 57.1 42 34.8 23.5 02 84.6 57.0 62 I34.3 90.6 22 i84.o 124.I 82 233.8 157.7 43 35.6 24.0 o3 85.4 57.6 63 135.1 9. I 23 I84.9 124.7 83 234.6 I58.3 44 36.5 24.6 o4 86.2 58.2 64 I 36.o 9I.7 24 I85.7 125.3 84 235.4 I 58.8 45 37.3 25.2 o5 87.0 58.7 65 i36.8 92.3 25 i86.5 I25.8 85 236.3 I59.4 46 38. I 257 o6 87.9 59.3 66 I37.6 92.8 26 87.4 I 26.4 86 237.1 I59.9 47 39.0 26.3 07 88.7 59.8 67 138.4 93.4 27 I88.2 I26.9 87 237-9 I60.5 48 39.8 26.8 o8 89.5 6o.4 68 139.3 93.9 28 I89.o 127.5 88 238.8 i6i.o 49 4o.6 27.4 09 90.4 6o,0 69 I40.I 94.5 29 189.8 I28.I 89 239.6 i6I.6 50 4I.5 28.0 10 91.2 6i.5 70 140.9 95. I 30 90.7 128.6 9o 240.4 I62.2 5I 42.3 28.5 III 92.0 62. I i4i.8 95.6 23I 191.5 129.2 29I 24I.2 162.7 52 43. I 29.1 1 2 92.9 62.6 72 142.6 96.2 32 192.3 129.7 92 242.1 x63.3 53 43.9 29.6 I3 93.7 63. 2 73 i43.4 96.7 33 I 93.2 i3o.3 93 242.9 I 63.8 54 44.8 30.2 I4 94.5 63.7 74 i44.3 97.3 34 I94-.0 30.9 94 243.7 I64.4 55 45.6 3o. 8 I 5 95.3 64.3 75 I45.1 97.9 35 194.8 i3i.4 95 244.6 i65;o 56 46 4 3I.3 I 6 96.2 64.9 76 145.9 98.4 36 I95.7 I32.o 96 245.4 i65.5 57 47.3 13.9 17 97.0 65.4 77 146.7 99.o 37 I96.5 I32.5 97 246.2 i66.i 58 48. i 32.4 8 97.8 66.0 78 I47.6 99.5 38 197.3 133.1 98 247.I i66.6 59 48.9 33.0 I9 98.7 66.5 79 i48.4 00o.I 39 I98. I i33.6 99 247-9 I67.2 60 49.7 33.6 20 99.5 67. I 80 149.2 100.7 4o 199.0 I 34.2 300 248.7 167.8 Dist. Dep. Lat. Dist. De p. Lat. Dist. Dist. Dep. Lat. Dist. Dep. Lat. [For 56 Degrees. TABLE II. [Page51 Difference of Latitude and Departure for 35 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat, Dep. Ioo. 8 oo.6 6 I 50. o 35. o I21 I99. 69.4 8I i 48.3 io3.8 I24 I 97.4 I38.2 2 oi.6 oi.I 62 5o.8 35.6 22 99.9 70.0 82 I49.I Io4.4 42 I98.2 i38.8 302.5 01.7 63 Si.6 36.I 23 ioo.8 70.5 83 I49.9 io5.o 43 i99.I I39.4 4 o3.3 02.3 64 52.4 36.7 24 ioi.6 7 I. I 84 150.7 Io5.5 44 I99-9 Li4o.o 5 o4. I 02.9 65 53.2 37.3 25 102.4 7I.7 85 15i.5 io6.I 45 200.7 i4o.5 6 04.9 o3.4 66 54. 37.9 26 0o3.2 72.3 86 152.4 106.7 46 201.5 I4I.I 7 05.7 o4.o 67 54.9 38.4 27 Io4.0o 72.8 87 153.2 107.3 47 202.3 141.7 8 o6.6 o4.6 68 55.7 39.o0 28 04.9 73.4 88 I54.o 107.8 48 203.I 142.2 9 07.4 o5.2 69 56.5 39.6 29 Io5.7 74.0 89 I54.8 io8.4 49 204.0 I 42.8 I 008.2 o5.7 70 57.3 40.2 30 io6.5 74.6 90 I55.6 Iog.0 50 204.8 I43.4 Ii 09.0 o6.3 7I 58'. 40o.7 I3I- 107.3 75.I 91 I56.5 Iog.6 251 205.6 i44.o 12 09.8 0o6.9 72 59.0o 4.3 32 I08. I 75.7 92 1 57.3 1o10.1 52 206.4 i44.5 I3 Io.6 07.5 73 59.8 4.9 33 108.9 76.3 93 I58.I i 0o.7 53 207.2 I45.I I4 I1.5 o8.o 74 6. 6 42.4 34 1o9.8 76.9 94 158.9 i i.3 54 208.I I45 7 i5 12.3 o8.6 75 6I.4 43.o 35 iio.6 77.4 95 I 597 ii.8 55 208.9 i46.3 i6 I3.1 09.2 76 62.3 43.6 36 III.4 78.0 o 96 I60.6 11 I2.4 56 209 7 I46.8 7 3.9 0og9.8 77 63.I 44.2 37 I12.2 78.6 97 I6I.4 i 3.o 57 210.5 I47.4 I81I4 o7.3 78 63.9 44-7 38 13.o 79.2 98 I62.2 II3.6 58 2II.3 148,0 I9 i5.6 Io.9 79 64.7 45.3 39 II3.9 79.7 99 I63.o I 4. 59 2I2.2 I48:6 20 6.4 I I.5 8o 65.5 45.9 4o i —4.7 8o.3 200 I63.8 I 47 60 2i3.0 14g9. 2 1I7.2 12.0 8 6.446.5 I4 I5.5 80.9 20I i64.6 11I5.3 26i1 2I3.8 I'49.7 22 I8.0 12.6 82 67.2 /17.0 42 ii6.3 8I.4 02 i65.5 I 5-.9 62 2I4.6 i5o.3 23 i8.8 13.2 83 68.0o47.6 43 117. 82.0 o3 I66.3 ii6.4 63 2I5.4 I50.9 24 I9 7 I3.8 84 68.8 48.2 44 118.o 82.6 o4 167.I I17.0 64 2i6.3 I5I.4 25 20.5 I4.3 85 69.6 48.8 45 ii8.8 83.2 o5 1I67-9 I17.6 65 217.I I52.0 26 2I.3 I4.9 86 70.4 49.3 46 1g.6 83.7 o6 168.7 I 8.2 66 217.9 I52 6 27 22.I I5. 5 87 71.3 49.9 47 I 20o.4 84.3 07 I69.6 11 8.7 67 21 8.7 I53.i 28 22.9 I6.I 88 72.I 5o. 5 48 121.2 84.9 o8 I 70.4 I 19.3 68 219.5 i 53.7 29 23.8 i6.6 89 72.9 5I.o 49 122. 85. og09 I7I2 119.9 69 220.4 i54.3 30 24.6 17.2 o 73.7 5i.6 50 I22.9 86.o Io 172.0 I20.5 70 22I.2 I 54.9 3I 25.4 17.8 91 o 74.5 52.2 I5I 123.7 86.6 21I I72.8 I2I.0 27I 222.0 I55.4 32 26.2 i8.4 92 75.4 52.8 52 I24.5 87. 2 1 2173.7 12 I.6 72 222.8 I56.o 33 27.0 i8.9 93 76.2 53.3 53 I25.3 87.8 13 174.5 I22.2 73 223.6 i56.6 34 27.9 19.5 94 770 53.9 54 126. I 88.3 I4 175.3 122.7 74 224.4 157.2 35 28.7 20.1 95 77.8 54.5 55 I27.0 88.9 23.3 75 225.3 I 577 36 29.5 20.6 96 78.6 55. 56 127.8 89.5 I6 176.9I 23.9 76 226.1 i58.3 37 30.3 21.2 97 79.5 55.6 57 128.6 90.I I7 1I'77.8 124.5 77 226.9 I58.9 38 3i.i 2I.8 98 80 3 56.2 58 129.4 90.6 I8 I 78.6 I25.0o 78 227.7 I159.5 39 31.9 22.4 99 8i.1 56.8 59 I30.2 9I.2 19g I79.4 125.6 79 228.5 i60.o 4o 32.8 22.9 IOO 8I.9 57.4 6o i3i.i 9g.8 20 180.2 I26.2 80 229.4 I60.6 4i 33.6 23.51 io 82.7 57.9 i6i 131.9 92.3 22I 8I.o 126.8 281 230.2 I6I.2 42 34.4 24. I 02 83.6 58.5 62 I32.7 92.9 22 181.9 127.3 82 23I.0 16I1.7 43 35.12 24.7 o3 84.4 59. 63 133. 5 93.5 23 I82. j 1 27.9 83 231.8; 623 44 36.0 25.2 o4 85.2 59.7 64 I34.3 94. 24 I83.5 I 28.5 84 232.6 I62.9 45 36.9 25.8 o 186.o 60. 2 65 I35.2 94.6 25 184.3 29.I 85 233.5 i63.5 46 37. 7 26.4 o6 86.8 6o. 8 66 36. o 95.2 26 85. I I 29.6 86 234.3 I64.o 47 38.5 270 0o7 87.6 6I'.4 67 i36.8 95.8 27 I85.9 130.2 87 235.1 i64.6 48 39.3 27.5 o8 88.5 61i. 68 137.6 96.4 28 I86.8 i30.8 88 235.9 i65.2 49 40. 28.1 09og 89.3 62.5 69 I38.4 96.9 29 i87.6 13I.3 89 236.7 i65.8 50 41i.o 28.7 I 90o. I 63.I 70 I39.3 97.5 30 I88.4 I3I. 90 237.6 i66.3 5I 4I.8 29.3 III 90.9 63.7 171 I40.I 98. I 23I I89.2 I32.5 291 238.4 166.9 52 42.6 29.8 12 91.7 64.2 72 1I40.9 98.7 32 I90.o i33.i 92 239.2 i67.5 53 43.4 30.4 13 92.6 64.8 73 14I. 7 99.2 33 90go.9 i33.6 93 240.o 168.I 54 44.2 3I.o'4 93.4 65.4 74 I42.5 99.8 34 191.7 I34.2 94 240.8 i68.6 55 45.i 3I.5 I5 94.2 66.o 75 I43.4 1oo.4 35 I92.5 I34.8 95 24I.6 169.2 56 45.9 32.1 I6 95.0 66.5 76 1I44.2 I 0.9| 36 1I93.3 I35.4 96 242.5 I69.8 57 46-7 32.7 I7 95.8 67. 1 77 i45.0 Ioi.5 37 194.1 I35.9 97 243.3 170.4 58 47.5 33.3 i8 96.7 67.7 78 i145.8 I02. I 38 i95.o I36.5 98 244.1 170.9 59 48.3 33.8 I19 97.5 68.3 79 I46.6 102.7 39 I95.8 I37.1 99 244.9 171.5 60 49. I' 34.4 2o 98.3 68.8 80 I47.44 Io3.2 4o I 96.6 I37.7 300 245.7 I172.1 Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. — L.~~~~~~~~~~~~~ [For 55 Degrees. Page 52] TABLE II. Difference of Latitude and Departure for 36 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. I oo.8 oo.6 6i 49.4 35.9 121 97.9 7I.I i8I I46.4 Io6.4 241 I95.0 14I-7 2 OI.6 I.2 62 50.2- 36.4 22 98.7 7r.7 82 I47.2 I07.0 42:-95.8 I42.2 3 02.4 o01.8 63 5I.o 37.0 23 99.5 72.3 83 I48.I I07.6 43:96.6 I42.8 4 o3.2 02.4 64 5 I.8 37.6 24 I00oo.3 72.9 84 I48.9 Io8.2 44! I97.4 I43.4 5 o4.o 02. 65 52.6 38.2 25 6101. 73.5 85 49-7 1I8.7 45: 98.2 144.o 6 4.9 o3.5 66 53.4 38.8 26 IoI.9 74.1 86 I5o.5 I og.3 46 199.o I44.6 7 o5.7 o4. I 67 54.2 39.4 27 Io02.7 74.6 87 i5i.3 Io9.9 47 I 99.8 I 45.2 8 o6.5 04.7 68 55.0o 40.o 28 Io3.6 75.2 88 I52.1 II0.5 48 200.6 I45.8 9 07.3 o5.3 69 55.8 40.6 29 Io4.4 75.8 89 152.9 I I.1I 49 20I.4 I46.4 Io o8. I 5.9 70 56.6 4I.I 3o I05.2 76.4 90 153.7 III.7 50 202.3 I46.9 II o08.9 o6.5 7I 57.4 41.7 i3I I06.0 77-0 19I I54.5 I 12.3 25I 203.1 I47.5 12 09.7 07.I 72 58.2 42.3 32 I o6.8 77.6 92 155.3 112.9 52 203.9 48.I I3 io.05 07.6 73 59.1 42.9 33 107.6 78.2 93 I56. I I 3.4 53 204.7 148.7 I4 ii.3 08.2 74 59.9 5 34 o8.4 78.8 94 I 56.9 I4.o 54 205.5 49.3 I 5 12.1 o8.8 75 60.7 44. I 35 109.2 79.4 95 157.8 II4.6 55 206.3 149.9 I6 I2.9 9 4 76 6I.5 44-7 36 1100 79 96 I58.6 I 5.2 56 207.I I50.5 17 I3.8 IO.O 77 62.3 45.3 37 II0.8 80.9 97 159.4 II5.8 57 207.9 I5I.i i8 I4.6 io.6 78 63.i 45.8 38 iii.6 8I.I 98 I60.2 II6.4 58 208.7 i51.6 9 I5.4 II.2 79 63.9 46.4 39 II2.5 8I.7 99 i6i.o 117.0 59 ao209.5 I52.2 20 16.2 II.8 80 64.7 47.0 4o II3.3 82.3 200 6.8 I I 7.6 60 2io.3 152.8 21 17.0 12.3 8i 65.5 47.6 I4 I 14. 82.9 20I I62.6 I 8.I 261 211.2 I'53.4 22 I7.8 I2.g 82 66.3 48.2 42 II4.9 83.5 02 I63.4 I I8.7 62 212.0 I54.o 23 i8.6 I3. 83 67.1 48.8 43 15.7 84. 03 I 64.2 I 9.3 3 212.8 I54.6 24 I9.4 14.I 84 68.0o 49.4 44 ii6.5 84.6 o4 i65.o I Tg. 64 2I3.6 I55.2 25 20.2 i4.7 85 68.8 50o.o 45 I7.3 85.2 05 I65.8 120.5 65 2I4.4 I 55.8 26 2I.0 i5.3 86 69.6 50.5 46 ii8.i 85.8 o6 I66.7 121.1 66 2I5.2 I56.4 27 2I.8 I5. 87 70.4 5i.I 47 I18.9 86.4 07 I67.5 I2I.7 67 2I6.0 156.9 28 22.7 I6.5 88 71.2 5I. 7 48 II9.7 87.o0 o8 i68.3 122.3 68 216.8 i57.S 29 23.5 I7.0 89 72.o 52.3 49 I20.5 87.6 o9 69g.I I22.8 69 2I7.6 i58.i 30 24.3 I7.6 90 72.8 52.9 50 I2I.4 88.2 Io I69.9 I23.4 70o'28.4 I58.7 31 25.I I8.2 91 73.6 53.5 I5I I22.2 88.8 2II I70.7 1240 271 2I9.2 I59.3 32 25.9 i8.8 92 74.4 54.I 52 I23.o 89.3 I2 171.5 I 24.6 72 220.I I59.9 33 26.7'9.4 93 75.2 54.7 53 I23.8 89.9 I3 I72.3 I25.2 73 220.9 i6o.5 34 27.5 2o.o 94 76.0 55.3 54 124.6 90.5 I4 I73.I 125.8 74 22.7 I6I.I 35 28.3 20.6 95 76.9 55.8 55 1I25.4 9gI.I 5 73.9 126.4 75 222.5 I6I.6 36 29.1 2I.2 96 77.7 56.4 56 126.2 91.7 i6 I74.7 127.0 76 223.3 162.2 37 29.9 2I.7 97 78.5 57.0 57 I27.0 92.3 17 I75.6 127.5 77 224.1 I62.8 38 30.7 22.3 98 79.3 57.6 58 I127.8 92.9 I8 176.4 128.I 78 224.9 I 63.4 39 3r.6 22.9 99 8o.I 58.2 59 I28.6 93.5 I9 177-2 128.7 79 225.7 i64.o 40 32.4 23.5 Ioo 80.9 58.8 6o i29.4 94.0 20 I78.0 I29.3 80 226.5 i64.6 4I 33.2 24.I IoI 81.7 59.4 I6I I30.3 94.6 22I I78.8 2g9.9 28I 227.3 165.2 42 34.0 o24.7 02 82.5 6o.o 62 I3I.i 95.2 22 I 79.6 I3o.5 82 228.I i65.8 43'34.8 25.3 o3 83.3 6o.5 63 I3I.9 95'.8 23 I8o.4 131.1 83 229.o I66.3 44 35.6 25.9 o4 84.i 6. I 64 I32.7 96.4 24 I81.2 I3I.7 84 229.8 i66. 45 36.4 26.5 o5 84.9 6I.7 65 i33.5 97.0 25 I82.0 I32.3 85 230.6 167.5 46 37.2 27.0 o6 85.8 62.3 66 I34.3 97.6 26 I82.8 I32.8 86 23I.4 168.I 47 38.o 27.6 07 86.6 62. 67 135.1 98.2 27 I 83.6 I 33.4 87 232.2 I68.7 48 38.8 28.2 o8 87.4 63.5 68 i35.9 98.7 28 i84.5 I34.o 88 233.o I69.3 49 39.6 28.8 og 88.2 64.i 69 36.7 99.3 29 i85.3 I34.6 89 233.8 I69.9 50 40o.5 29.4 IO 89.0 64.7 70 137.5 99.9 3o I86.I I35.2 90 234.6 170.5 5i 4I.3 3o.o III 89.8 65.2 171 I38.3 Ioo.5 23I I86.9 I35.8 29I 235.4 I71.O 52 42.I 30.6 I2 90.6 65.8 72 I39.2 iOI.I 32 I87-7 I36.4 92 236.2 I7I.6 53 42.9 3I.2 I3 91.4 66.4 73 i4o.0 II0.7 33 I88.5 137.0 93 237.0 172.2 54 43.7 3I.7 I4 92.2 67.0 74 i4o.8 102.3 34 I89.3 i37.5 94 237.9 172.8 55 44.5 32.3 I5 93.0 67.6 75 i4.6 102.9 35 90.I 38. 9 238.7 I73.4 56 45. 3 32.9 i6 93.8 68.2 76 I42.4 103.5 36 I90.9 I38.7 239.5 174.0 57 46.i 33.5 I7 94.7 68.8 77 I43.2 io4.o 37 I9I.7 I39.3 97 240.3 174.6 58 46.9 34.i i8 95.5 69.4 78 i44.o io4.6 38 I92.5 I39.9 98 24I.1 175.2 59 47'7 34.7 9 96.3 69.9 79 i44.8 I0o5.2 39 I93.4 4oI4o.5 9 24.9 175.7 60 48.5 35.3 20 97.I 70. 8o i45.6 io5.8 4o 194.2 14I.1 300 242.7 176.3 Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. [For 54 Degrees. TABLE II. [Page 53 Difference of Latitude and Departure for 37 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Ioo00.8 oo.6 61 48.7 36.7 I2I 96.6 72.8 i8i i44-6 I08.9 241 I92.5 i45.o 2 oi.6 oI.2 62 49.5 37.3 22 97.4 73.4 82 I45.4 109.5 42 I93.3 M45.6 3 o2.4 oI.8 63 50.3 37.9 23 98.2 74.0 83 I46.2 IIo.I 43 I94.I i46.2 4 o3.2 02.4 64 5.I 38.5 24 99.0 74.6 84 146.9 110 I.7 44 I949 46.8 5 o4.o o3.o 65 51.9 39. 1 25 99.8 75. 2 85 1I47-7 1 I.3 45 195.7 I47.4 6 o4.8 o3.6 66 52.7 39.7 26 Ioo.6 75.8 86 I48.5 Iii.9 46 I96.5 I48.o 7 o5.6 04.2 67 53.5 4o.3 27 ioI.4 76.4 87 149.3 1I I2.5 47 I97.3 i48.6 8 o6.4 o4.8 68 54.3 40.9 28 102.2 77.0 88 I50.1 ii3.i 48 198.1 149.3 9 07.2 o5.4 69 55.1 4I.5 29 io3.0 77.6 89 I50o.9 I3.7 49 198.9 149.9 O o8.o o6.o 70 55.9 42. I 30 io3.8 78.2 90 15I.7 i 4.3 50 7 I50.5 II o8.8 o6.6 71 56i.7- 42.7 13I Io4.6 78.8 i91 I52.5 I I4-9 25I 200.5 i5i.i 2 og09.6/ 07.2 72 57.5 43.3 32 Io5.4 79.4 92 I 53.3 II5.5 52 201I.3 I51.7 I3 io.4 o7.8 73 58.3 43.9 33 Io6.2 8o.o 93 i54.I II6.2 53 20o2.1 52.3 I4II.2 o8.4 74 59.I 44.5 34 1 o7. 80.6 94 I54.9 1I6.8 54 202.9 152.9 i5 12.0 oo9.o 75 59.9 45. I 35 107.8 8I.2 95 I55.7 117.4 55 203.7 I53.5 i6 jI2.8 og.6 76 60o.7 45.7 36 io8.6 8i.8 96 i56.5 ii8.o 56 204.5 154.I 17 i3.6 10.2 77 6I.5 46.3 37 I09.4 82.4 97 I 57.3 i i8.6 57 205.2 1 54.7 i8 I4.4 io.8 78 62.3 46.9 38 IIo.2 83.i 98 i58.i II9.2 58 206.0 I55.3 I9 I5.2 II.4 79 63.i 47.5 39 1I,.o 83.7 99 I58.9 19,.8 59 206.8 I55.9 20 I6.o I2.0 80 63.9 48. I 40 Iii.8 84.3 200 I59-7 20o.4 60 207.6 i 56.5 2I i6.8 12.6 8I 64.7 48.7 I41 II2.6 84.9 20I i6o.5 12I.0 261 ao8.4 157.1 22 I7.6 I3.2 82 65.5 49,3 42 II3.4 85.5 02 i6i.3 I2I.6 62 209.2 I57.7 23 i8.4:i3.8 83 66.3 50.o 43 114.2 86.i o3 162.1 122.2 63 210.0 i58.3 24 I9.2 14.4 84 67. I50.6 44 II5.o 86.7 o4 162.9 122.8 64 210.8 i58.9 25 2o0.0 I5.o 85 67.9 5I.2 45 II5.8 87.3 o5 I63.7 I23.4 65 211.6 I59.5 26 20.8 I5.6 86 68.7 5/.8 46 116.6 87.9 o6 i64.5 I24.o 66 2I2.4 i6o.i 27 21.6 16.2 87 69.5 52.4 47 1 I7.4 88.5 o7 I65.3 I24.6 67 213.2 I60.7 28 22.4 16.9 88 70.3 53.0 48 118.2 89. o8 i66.i 125.2 68 214.0 i6i.3 29 23.2 17.5- 89 71.1 53.6 49 lI9.0 89.7 09 I66.9 125.8 69 214.8 161.9 30 24.0 I8.i 9o 71.9 54.2 50 II9.8 90.3 I o 67.7 I 26.4 70 2 I 5.6 I 62.5 31 24.8 18.7 91 72.7 54.8 15I I20.6 90.9 21I i68.5 I27.0 27I 2I6.4 i63.I 32 25.6 I9.3 92 73.5 55.4 52 121.4 9I.5 I2 169.3 127.6 72 217.2 I63.7 33 26.4 I9.9 93 74.3 56.o 53 122.2 92.1 13 I70.I I28.2 73 218.o i64.3 34 2-7.2 20.5 94 75. I/56.6 54 123.o 92.7' I4 1 70.9 128.8 74 2 I 8.8 I64.9 35 28.o 2I. 95 75.9 57.2 55 I23.8 93.3 5 171.7 129.4 75 2I9.6 i65.5 36 28.8 21 7 96 76 7 57.8 56 I24.6 93.9 i6 172.5 3o.0o 76 220.4 i66.i 37 29.5 22.3 97 77.5 58.4 57 I25.4 94.5 17 I 73.3 i 3o.6 77 22I.2 I 66.7 38 3o.3 22. 98 78.3 59.0o 58 I26.2 95.I i8 1 74.1I 1 3I. 78 222.0 I 67.3 39 3.1 23.5 99 79.' i 59.6 59 I27.0 95.7 19 174.9 i3i.8 79 222.8 167.9 4o 3I.9.24.I I00 79.9 60.2 6o 1I27.8 96.3 20 I75.7 i 132.4 80 223.6 I68.5 4 32.7 24. 7 o 680.7 6o.28i6 28.6 96.9 22I 76.5 133.0 28I 224.4 169.1 42 33.5 25.3 02 8I.5 6i.4 62:29.4 97.5 22 I 77.3 1 33.6 82 225.2 I69.7 43 34.3 25 9 o3 82.3 62.o 63 I30.2 98.1 23 I78.1 I34.2 83 226.0 170.3 44 35.1 26.5 o4 83.i 62.6 64 i3I.o 98.7 24 178.9 i 34.8 84 226.8 I70.9 45 35.9 27. I o5 83.9 63.2 65 I3I.8 99.3 25 179-7 35.4 85 227.6 I7I.5 46 36.7 27.7 o6 84.7 63.8 66 I32.6 99.9 26 i8o.5 I36.o 86 228.4 I72.1 47 37*5 28.3 07 85.5 64 67 I33.4.5 27 i8i.3 i 36.6 87 229.2 172.7 48 38.3 28.9 o8 86.3 65.o 68 I34.2 101.1 28 I82.I I37.2 88 230.0 173.3 49 39.1I 29.5 og09 87.I 65.6 69 I35.o 101.7 29 I82.9 I37.8 89 230.8 173.9 50 39.9 30.I Io 87.8 66.2 70 I35.8 I02.3 30 I83.7 I38.4 90o 231.6 1I74-5 5I 40.7 30.7 III 88.6 66.8 I7I T36.6 I02.9 231 I84.5 I39.0 29I 232.4 I75.1 52 4I.5 31.3 12 89.4 67.4 72 I374 1I03.5 32 i85.3 I139.6 92 233.2 175.7 53 42.3 31.9 13 90.2 68.o 73 I38.2 I04.I 33 I86.i 140.2 93 234.o I763 54 43.i 32.5 I4 91.0 68.6 74 1 39.0 104.7 34 1 86.9 i40.8 94 234.8 I 76.9 55 43.9 33.I 15 I gr.8 69.2 75 139.8 Io5.3 35 I87.7 I4I.4 95 235.6 177.5 56 44.7 33.7 i6 92.6 69.8 76 i40o.6 I05.9 36 i88.5 142.0 96 236.4 178. I 57 45.5 34.3 17 93.4 70.4 77 I4I.4 io6.5 37 I89.3 1I42.6 97 237.2 178.7 58 46.3 34.9 i8 94.2 7I.0 78 I42.2 107 -.1 38 190.I 143.2 98 238.o 1I79.3 59 47.-1 35.5 19 95.0 71.6 79 i43.0 107.7 39 90go.9 i43.8 99 238.8'79.9 60o 47.9 36.;I 20 95.8 72.2 80 i43.8 Io8.3 40 I91.7 I44.4 300 239.6 i80.5 Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. I)ist. Dep. Lat. Dist. Dep. Lat. [For 53 Degrees. Page 54] TABLE II. Difference of Latitude and Departure for 38 Degrees. Dislt. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat, Dep. I 00.8 oo00.6 6I 48. I 37.6 12 I 95.3 74.5 I8I I42.6 I Ii.4 24I 189.9 i48.4 2 oi.6 oi.2 62 48.9 38.2 22 96. 75. I 82 I43.4 I 12.I 42 I90.7 149.0 3 o2.4 OI.8 63 49.6 38.8 23 96.9 75.7 83 144.2 I12.7 43 I9I.5 I49.6 4 o3. 2 02.5 64 50o.4 39.4 24 97.7 76.3 84 I45.o I i3.3 44 I92.3 15002 5 o3.9 o3.I 65 51.2 40.0 25 98.5 77.0 85 i45.8 Ii3.9 45 I93.I I50.8 6 04.7 03.7 66 52.0 40.6 26 99.3 77.6 86 I46.6 I I4.5 46 193.9 J51.5 7 5.5 o04.3 67 52.8 4I.2 27 1oo.1 78.2 87 I47.4 II5.1 47 I94.6 I52.1 8 o6.3 04. 68 53.6 4I.9 28 Ioo.9 78.8 88 I48. I 15.7 48 I95.4 I52.7 9 07.I 05.5 69 54.4 42.5 29 IOI.7 79.4 89 I48.9 II6-4 49 196.2 I 53.3 IO 07.9 o6.2 70 55.2 43.I 30 102.4 80.0 90 I49.7 II7.0 50 I97.0 153.9 II o8.7 o6.8 71 55.9 43.7 I3I I03.2 80.7 9I I50.5 I 17.6 251 I97.8 I54.5 I2 O9.5 07.4 72 56.7 44.3 32 io4.o 81.3 92 I51.3 II8.2 52 I98.6 155.I I3 IO.2 o8.o 73 57.5 44.9 33 4.8 8i.9 93 O52.I II8.8 53 I99 4 I55.8 I4 1I.0 o8.6 74 58.3 45.6 34 Io5.6 82.5 94 I52.91 9-4 54 200.2 I 56.4 I 5 I.8 09.2 75 59.I 46.2 35 I o6.4 83. 95 153.7 I 20. 55 200.9, 157.0 i6 12.6 09.9 76 59.9 46.8 36 107.2 83.7 96 I54.5 o20.7 56 20I.7 57.6 17 13.4 Io.5 77 60.7 47.4 37 io8.o 84.3 97 155.2 I2I.3 57 202.5 158.2 I8 I4.2 11.I 78 6i.5 48.0 38 108.7 85.0 98 I56.o 121.9 58 203.3 I58.8 I9 I5.0 II.7 79 62.3 48.6 39 o09.5 85.6 99 I56.8 122.5 59 204.1I 59.5 20 I5.8 I2.3 80 63.0o 49.3 4o iio.3 86.2 200 157.6 123.1 6o 2o4.9 i60o. 21 i6.5 I2.9 8I 63.8 49.9 14 Iii. 86.8 201 I 58.4 I23.7 261 205.7 160.7 22 17.3 I3. 82 64.6 50.5 42 III.9 87.4 02 I59.2 I24.4 62 206.5 i61.3 23 I8.I 4.2 83 65.4 5I.I 43 I 12.7 88.o o3 I60.O I25.0 63 207.2 i6I.9 24 I8.9 x4.8 84 66.2 5I.7 44 II3.5 88.7 o4 I6o.8 125.6 64 208.0 I62.5 25 19.7 15.4 85 67.0 52.3 45 II4.3 89.3 o05 I6.5 I26.2 65 208.8 I63.2 26 20.5 I6.o 86 67.8 52.9 46 115.0 89.9 o6 162.3 126.8 66 209 46 63.8 27 21.3 I6.6 87 68.6 53.6 47 II5.8 90.5 07 I63.1 I27.4 67 2IO.4 I64.4 28 22.I 17.2 88 69.3 54.2 48 ii6.6 91. o8 I63.9 128.I 68 211.2 i65.o 29 22.9 17.9 89 70.I 54.8 49 II7.4 91.7 09 I64 7 128.7 69 2I2.0 i65.6 30 23.6 I8.5 go 70.9 55.4 50 I18.2 92.3 o10 I65.5 I29.3 70 212.8 i66.2 31 24.4 I9.I 91 7I.7 56.o I5I II9.o 93.0 2II i66.3 I29.9 27I 2I3.6 I66.8 32* 25.2 19.7 92 72.5 56.6 52 119.8 93.6 I2 167.I I3o.5 72 2I4.3 167.5 33 26.0 20.3 93 73.3 57.3 53 120.6 94.2 i3 i67.8 131.I 73 2I5.I i68.i 34 26.8 20.9 94 74.1 57.'54 121.4 94.8 14 I68.6 i3i.8 74 2I5.9 168.7 35 27.6 21.5 95 74.9 58.5 55 I22.I 95.4 i5 169.4 I32.4 75 2I6.7 I69.3 36 28.4 22.2 96 75.6 59.I 56 I22.9 96.0 I6 170.2 i33.0 76 217.5 169.9 37 29.2 22.8 97 76.4 59 7 57 I23.7 96.7 17 17I.0 33.6 77 2 I8.3 1I70.5 38 29.9 23.4 98 77.2 60.3 58 I24.5 97.3 i8 I7I.8 I34.2 78 2I9.1 17I.2 39 30.7 24.0 99 78.0o 6.0o 59 125.3 97.9 19 172.6 i34.8 79 2o9.9 I7I.8 40 31.5 24.6 I00 78.8 6i.6 6o I26.I 98.5 20 173.4 I35.4 80 220.6 172.4 4I 32.3 25.2 IO1 79.6 62.2 I6I I26.9 99.I 221 I74.2 i36.I 28I 221.4 I73.o 42 33. 25.9 o02 80.4 62.8 62 127.7 99.7 22 174.9 I36.7 82 222.2 173.6 43 33.9 26.5 03 8I.2 63.4 63 I28.4 oo-4 23 1I75.7 I37.3 83 223.0 I74-2 44 34.7 27.I o4 82.0 64.o 64 129.2 IOI.o 24 176.5 i37.9 84 223.8 174.8 45 35.5 27.7 o5 82.7 64.6 65 I3o.o Ioi.6 25 I77.3 i38.5 85 224.6 I75.5 46 36.2 28.3 o6 83.5 65.3 66 i3o.8 I02.2 26 178.1 139.I 86 225.4 176.I 47 37.0 28.9 07 84.3 65.9 67 i3i.6 I02.8 27 178.9 I39.8 87 226.2 I76.7 48 37.8 29.6 o8 85.I 66.5 68 132.4 io3.4 28 I79.7 I40.4 88 226.9 177.3 49 38.6 30.2 09 85.9 67.1 69 I33.2 I04.O 29 i80.5 I4I.o 89 227.7 I77.9 50o 39.4 30.8 io 86.7 67.7 70 i34.o 104.7 30 I8I.2 I4I.6 90 228.5 I78.5 5i 40.2 3i.4 i -87.5 68.3 I71 34.7 io5.3 23I I82.0 I42.2 29I 229.3 179.2 52 4I.o 32.0 I2 88.3 69g.o 72 135.5 io5.9 32 I82.8 I42.8 92 230.I 179.8 53 4I.8 32.6 I3 89.o 69.6 73 i36.3 io6.5 33 I83.6 i43.4 93 230.9 8&o.4 54 42.6 33.2 I4 89.8 70.2 74 137. I 107. 34 i84.4 I44.I 94 231.7 i8I.o 55 43.3 33.9 15 90.6 70.8 75 137.9 Io7.7 35 I85.2 I44.7 95 232.5 i8i.6 56 44.I 34.5 I6 91.4 7I.4 76 I38.7 io8.4 36 I86.o I45.3 96 233.3 182.2 57 44.9 35.I 17 92.2 72.0 77 139.5 109.o 37 I86.8 145.9 97 234.o I82.9 58 45.7 35.7 i8 93.0 72.6 78 i4o.3 109.6 38 I87.5 i46.5 98 234.8 i83.5 59 46.5 36.3 I9 93.8 73.3 79 I41.1 IIo.2 39 I88.3 I47.i 99 235.6 i84.1 60 47.3 36.9 20 94.6 73.9 80 I4i.8 iio.8 40 I89.I I47.8 300 236.4 184.7 Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. [For 52 Degrees. TABLE II. Page Difference of Latitude and Departure for 39 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. I Dep. Dist. Lat. |Dep. Dist.1 Lat. I Dep. I oo.8 oo.6 6i 47.4 38.4 12I 94.0 76.- 1 - 81 I40.7 I -3.9 21i.187.3 15I.7 2 oi.6 oi.3 62 48.2 39.0 22 94.8 76.8 82 I4,.4 II4.5 4L i88., /52.3 3 o2.3 oI.9 63 49. 39.6 23 95.6 77.4 83 142.2 115.2 43 i88.8 I52.9 4 o3. I 02. 64 49.7 4o.3 24 96.4 78. o 84 i43.o I I 5.8 44 I 89.6 i53.6 5 03.9 o3. I 65 50.5 40o.9 25 97. I 78.7 85 I43.8 x i6.4 45 I90.4 I 54.2 6 04.7 o3.8 66 51I.3 4i.5 26 97.9 79.-3 86 i44.5 I I7I. 46 i9.2 i54.8 7 oS.4 o4.4 67 52.1 42.2 27 98.7 79.9 87 I45.3 I17/7 47 192.0 155-.4 8 o6. 2 o5.o 68 52.8 42.8 28 99.5 8o.6 88 /46. i I8.3 48 I 92.7 i56.i 9 07.0 05.7 69 53.6 43.4 29 Ioo.3 81.2 89 146.9 I 8.9 49 193.5 I56.7 I 0 7.8 o6.3 70 54.4 44.I 3o IoI.0 8.8 90 147.7 119.6 5o I 94.3 1 57.3 I I o8.5 o6.9 71 55.2 44.7 i3i ioi.8 82.4 19I I48.4 120.2 25I I95.l I58.0 I 2og9.3 07.6 72 56.o 45.3 32 I02.6 83. i 92 I49.2 1 20.8 52 I 95.8 i 58.6 I 3 Io.o 0 8.2 73 56.7 45.9 33 io3.4 83.7 93 i 5o.o I21.5 53 1I 96.6 I 59.2 i4 4io.9 o8.8 74 57.5 46.6 34 io4. i 84.3 94 i5o.8 122.I 54 197.4 1I59.8 I 51I.7 9 og.4 75 58.3 47.2 35 io4.9 85.o 95 15I.5 I22.7 55 198.2 i6o.5 I6 I2.4 10o.1 I 76 59. I 47.8 36 o05.7 85.6 96 I52.3 I 23.3 56 I98.9 I6I.I I7 71I3.2 IO.7 77 59.8 48.5 37 io6.5 86.2 97.i53.I i24.0 57 99.7 I6I.7 i8 I4.o II.3 78 6o.6 49. I 38 I 0o7.2 86.8 98 I53.9 I 24.6 58 2oo00.5 i62.4 9 i4.8 12.0 79 6.4 497 39 108.o 87 5 99 I547 125.2 59 20I.3 i63.o ~89 ~. 49' 9'7 99 I.... 20 I 5.5 I 2.6 80 62.2 5o. 3 4o io8.8 88. i 200 i 55.4 125.9 6o 202.I i63.6 2 I I6.3 1 3.2 8I 62.9 5I.0 14 1I09.6 88.7 2I I 56.2 I 26.5 261 202.8 I64.3 22 I7.1 I 3.8 82 63.7 5i.6 42 i io.4 89.4 02 I57.-0 I27-.I 62 203.6 i64.9 23 37.9 I4.5 83 64.5 52.2 43 II.I 90.0o o3 i 57.8 127.8 63 204.4 i65.5 24 I8.7 I5.1 84 65.3 52.9 44 III.9 90.6 o4 i58.5 128.4 64 205.2 i66.I 25 I9-4 I5.7 85 66. i 53.5 45 II2.7 91.3 o5 I 59.3 129.0 65 205.9 I66.8 26 20.2 i6.4 86 66.8 54. I 46 I13.5 9I.9 o6 i6o. i 129.6 66 206.7 I67-4 27 2I.0 I7.0 87 67.6 54.8 47 1 I4.2 92.5 07 I60.9 i3o.3 67 207.5 i68.o 28 2I.8 17.6 88 68.4 55.4 48 /5.0o 93. 1 o8 i6i.6 i 3o.9 68 208.3 I68.7 29 22.5 i8.3 89 69.2 56.o 49 i i5.8 93.8 09 I 62.4 I3I.5 69 20o9. I I69.3 30 23.3 I8.9 90 69.9 56.6 5o i i6.6 94.4 io I 63.2 I32.2 70 209.8 169.9 3I 24. II9'.5 91 70.7 57.3 I5I I 17.3 95.0 2I1 I 64.o 132.8 27I 2IO.6 170.5 32 24.9 20. I 92 7I.5 57.9 52 II8.I 95.7 1 2 i64.8 I 33.4 72 21.4 17I.2 33 25.6 20.8 93 72.3 58.5 53 II8.9 96.3 I3 I65.5 34.o0 73 2I2.2 171.8 34 26.4 2I.4 94 73.1 59.2 54 /119.7 96.9 I4 i66.3 I34.7 74 2I2.9 172.4 35 27.2 22.0 95 73.8 59.8 55 1I20.5 97.5 i 5 i67.1 35.3 75 2I3.7 I73.I 36 28.o0 22.7 96 74.6 6o.4 56 121.2 98.2 I6 I67.9 I35.9 76 2I4.5 173.7 37.28.8 23.3 97 75.4 6i.o 57 122.0 98.8 I7 i68.6 i36.6 77 21 I 5.3 I74.3 38 29.5 23.9 98 76.2 6I.7 58 I22.8 99.4 I8 I69.4 i37.2 78 2 I6.0 I75.0 39 3o.3 24.5 99 76.9 62.3 59 123.6 Ioo. 1 I 19 170.2 I37.8 79 2I6.8 I75.6 4o 3I. r25.2 100 77.7 62.9 6o I 24.3 I00.7 20 17I.0 138.5 80 217.6 I 76.2 _i..7- I25_ 4i 3 -.9 25.8 78.5 63.6 16I 25. ioi.3 221 7.7 28 28.4 76.8 41 10~~~~~~~~~~~~ ~ ~~~~~~~~~~~~~~~~~~I 7851I-7I7 42 32.6 26.4 02 79.3 64.2 62 I25.9 IoI.9 22 172.5 139.7 82 2I9.2 177.5 43 33.4 27. 1 o3 8o. o 64.8 63 1 26.7 Io02.6 23 I 73.3 i4o.3 83 2I9.9 178.I 44 34.2 27.7 o4 8o.8 65.4 64 127.5 I03.2 24 174.i i4I.o 84 220.7 178.7 45 35.o 28.3 o5 8i.6 66. i 65 I28.2 io3.8 25 174.9 i4i.6 85 221.5 I79.4 46 35.7 28.9 o6 82.4 66.7 66 I29.0o io4.5 26 I75.6 I42.2 86 222.3 i8o.o 47 36.5 29.6 o7 83.2 67.3 67 I29.8 IoS.I 27 I76.4 i42.9 87 223.0 i8o.6 48 37.3 30.2 o8 83.9 68.o 68 I3o.6 io5.7 28 I77.2 I43.5 88 223.8 I8I.a 49 38. I3o.8 09 84.7 68.6 69 13I'.3 io6.4 29 178.0 I44.I 89 224.6 1I8I.9 50 38.9 3I.5 iO 85.5 69.2 70 I32.1 107.0 30 178.7_ I44-7 9o 225.4 I82.5 51 39.6 32. I i -I 8-6.3 69.9 17I I32.9 I07.6 231 179-.5 i45.-4 291 226.I I83.i 52 4:o. 4 32.7 1 2 87.0 7o.S 72 I33.7 I08.2 32 i8o.3 I46.o 92 226.9 i83.8 53 41.2 33.4,3 87.8 71. I 73 i34.4 Io08.9 33 i8i.i i46.6 93 227.7 ij84.4 54 42.o 34.o I4 88.6 71.7 74 i3S5.2 io9.5 34 I8I.9 i47.3 94 228.5 i85.o 55 42.7 34.6 i 589.4 72.4 75 i36.o IIo.I 35 I82.6 i47.9 95 229.3 i85.6 56 43.5 35.2 i6 90. 1 73. 0 76 i36.8 IIo.8 36 i83.4 i48.5 96 230.0 oi86.3 57 44.3 35.9 17 90.9 73.6 77 I37.6. I 1.4 37 I84.2 I49.' 97 230.8 I86.9 58 45. I36.5 i8 91.7 74.3 78 x38.3 I I2.0 38 I85.o I49.8 98 23I.6 I87.5 59 45.9 37.I I9 92.5 74.9 79 I39.I 2.6 39 185.7 i5o.4 99 232.4 I88.2 6o 46.6 37.8 20 93.3 75.5. 8o I39.9 1II3.3 4o i86.5 i5i.o 300 233. i88.b Di. Dep. at. st. DDe. at. D git D.Dep. LDLat. Dist. Dep. iat. Dist. Dep. I Lat. [For 51 Degrees Page 56] TABLE. I1. Difference of Latitude and Departure for 40 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. I oo00.8 oo.6 6i 46.7 39.2 I2I 92.7 77.8 I8I 138.7 I I6.3 24I I84.6 154.9 2 oi.5 oi.3 62 47.5 39.9 22 93.5 78.4 82 139.4 1 17-0 42 i85,4 i55.6 3 02.3 oI.9 63 48.3 40.5 23 94.2 79. 83 140.2 117.6 43 i86.1 I56.2 4 o3.i 02.6 64 49.0 41.1 24 95.0 79.7 84 I4I.o I 8.3 44 186.9 i56.8 5 o3.8 03.2 65 49.8 4i.8 25 95.8 80.3 85 1417 II8.9 45 I87.7 157.5 6 o4.6 03.9 66 50.6 42.4 26 96.5 8i.o 86 I42.5 1 19.6 46 i88.4 i58.1 7 o5.4 o4.5 67 5I.3 43. I 27 97.3 8i.6 87 i43.3 120.2 47 1I8g.2 58.8 8 o6.I o5. 68 52.1 43.7 28 98.1 82.3 88 i44.o 120.8 48 190.0 159.4 9 o6.9 o5.8 69 52.9 44.4 29 98.8 82.9 89 1i44.8 12I.5 49 Ig.907 i60.i 1o 07.7 o6.4 70 53.6 45.0 3o 99.6 83.6 9o i45.5 122.1 50 I9.5 160.7 I I o8.4 07.I 71 54.4 45.6 I3I ioo.4 84.2 191 i46.3 I22.8 25I 192.3 I6I.3 Iz2 09. 7.7 72 55.2 46.3 32 oiI.1 84.8 92 I47.I I 23.4 52 193.o I62.0 I3 Io.o o8.4 73 55.9 46.9 33 IOI.9 85.5 93 147.8 I24.I 53 1 93.8 162.6 14 Io.7 09.0 74 56.7 47.6 34 I02.6 86. 94 I48.6 124.7 54 194.6 i63.3 I5 II.5 09.6 75 57.5 48.2 35 io3.4 86.8 95 I494 1 2 5.3 55 195.3 i63.9 I6 I2.3 Io.3 76 58.2 48.9 36 104.2 87.4 96 i5o.i 126.0 56 I96.I I64.6 17 i3.o 10.9 77 59.o 49.5 37 I04.9 88. 97 i50.9 I 26.6 57 196.9 165.2 i8 i3.8 II.6 78 59.8 50.I 38 105.7 88.7 98 I5I.7 127.3 58 I197.6 I65.8 I 9 I4.6 12.2 79 60.5 50.8 39 io6.5 89.3 99 i 52.4 127.9 59 1 98.4 i 66.5 20 15.3 12.9 80 6I.3 5.4 40 07.2 90.0 2oo00 153.2 1'28.6 60 199.2 167.1 2I I6. II3.5 8I 62.0 52.I I4I I8.0 90.6 20I i54o 129.2 26I I99.9 I67-8 22 I69 I4. I 82 62.8 52.7 42 io088 9I.3 02 154.7 I2g.8 62 200.7 I68.4 23 I79 *14.8 83 63.6 53.4 43 Iog.5 9g.9 o3 I55.5 I3o.5 63 201.5 I69.I 24 i8.4 I5.4 84 64.3 54.0 44 iio.3 92.6 o4 I56.3 I3I.i 64 202.2 I69.7 25 19.2 i6. 85 65'.1 54.6 45 III.I 93.2 o5 i57-0 I3I.8 65 203.o 170.3 26 19.9 16.7 86 65:.9 55.3 46 iii.8 93.8 o6 I157.8 132.4 66 203.8 171.0 27 20.7 I7.4 87 66.6 55.9 47 II2.6 94.5 07 I58.6 I33.I 67 2o4.5 171.6 28 21.4 i8.o 88 67.4 56.6 48 113.4 95. o8 I59.3 133.7 68 205.3 I72.3 29 22.2 i8.6 89 68.2 57.2 49 114.1 95.8 09 i6o. I 34.3 69 20o6.I 172.9 30 23.o I9.3 90 68.9 57.9 50o 114.9 96.4 o I60.9 I 35.o 70 206.8 173.6 3I 23.7 I9.9 9 69.7 58.5 I5I II57 97 I 2II I6.6 35.6 271 207.6 174.2 32 24.5 20.6 92 70.5 59. 1 52 i6.4 97.7 12 162.4 i36.3 72 208.4 174.8 33 25.3 2I.2 93 71.2 59.8 53 117.2 98.3 I3 I63.2 I36.9 73 209. 175.5 34 26.o 21.9 94 72.o 60.4 54 II8.o 99.0 I4 163.9 137.6 74 209-9 176.1 35 26.8 22.5 95 72.8 6i.i 55 118.7 99.6 I5 I64.7 138.2 75 210.7 176.8 36 27.6 23. I 96 731.5 61.7 56 I19.5 00o.3 I6 165.5 I38.8 76 21:I.4 177.4 37 28.3 23.8 97 74.3 62.4 57 120.3 10.9 17 166.2 I39.5 77 212.a 178.1 38 29.1 24.4 98 75. I.63.o 58 I2I.o io. 18 167.0 I40.I 78 213.0 I78.7 39 29.9 25.I 99 75.8 63.6 59 121.8 102.2 19 167.8 i4o.8 79 2I3.7 179.3 40 30.6 25.7 100 76.6 64.3 6o I22.6 I02.8 20 I68.5 I4I.4 80 2I4.5 I80.o 4i 3i.4 126.4 IOI 77.4 64.9 I6i I23.3 I0o3.5 22I 169.3 I42.I 28I 2I5.3 i80.6 42 32.2 27.0 02 78.1 65.6 62 124.1I I04. 22 170.1 142.7 82 2I6.o I81.3 43 32.9 27.6 o3 78.9 66.2 63 124.9 o04.8 23 170.8 143.3 83 2I6.8 I81.9 44 33.7 28.3 o4 79.7 66.8 64 1I25.6 io5.4 24 I7I.6 144.o 84 217.6 182.6 45 34.5 28.9 o5 8o.4 67.5 65 I26.4 io6.I 25 172.4 I44.6 85 2I8.3 183.2 46 35.2 29.6 o6 o6 8.2 68.i 66 I27.2 106.7 26 173.r I45.3 86 219.I i83.8 47 36.o 30.2 07 82.0 68.8 67 127.9 107.3 27 173.9 i45.9 87 2I9-9 I84.5 48 36.8 30.9 o8 82.7 69.4 68 I128.7 108.o 28 174-7 I46.6 88 220.6 I85.I 49 37.5 3i.5 o09 83.5 70. 69 129.5 io8.6 29 175.4 147.2 89 22a.4 i85.8 38.3 32.I io 84.3 70.7 70 I30.2 o09.3 30 176.2 I47.8 9o 222.2 i 86.4 5I 39. - 32.8 1II 85.o 713.3 17-1 31.o 109.9 23I 177.0 I48.5 291 222.9 187.I 52 39.8 33.4 12 85.8 72.0 72 31i.8 IIo.6 32 177.7 I49.I 92 223.7 187.7 53 40.6 34. I 3 86.6 72.6 73 132.5 111.2 33 178.5 I49.8 93 224.5 i88.3 54 41.4 34'7 14 87.3 73.3 74 133.3 iii.8 34 179.3 I5o.4 94 225.2 189.0 55 42. I 35.4 I5 88.1 73.9 75 I34.I II2.5 35 i8o.o I5I.I 95 226.0 189.6 56 42.9 36. o I6 88.9 74.6 76 i 34.8 I113.I 36 i8o.8 I5I.7 96 226.7 90o.3 57 43.7 36.6 17 89.6 75.2 77 I35.6 I3.8 37 181.6 152.3 97 227.5 190.9 58 44.4 37.3 I8 90.4 75.8 78 I36.4 114.4 38 182.3 I53.o 98 228.3 191.6 59 45.2 37.9 19 91.2 76. 5 79 137.I I 5. 39 83.r i 53.6 99 229.0 192.2 60 46.0o 38.6 20 9I.9 77.i 8o 137.9 I15.7 4o I83.9 i54.3 300 229.8 I92.8 IDist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. at Dist. Dep. Lat. Dist. Dep. at. [For 50 Degrees. TABLE II. [Page 57 Difference of Latitude and Departure for 41 Degrees Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist Lat. Dep. Dist. Lat Dep. I oo.8 001 7 6I 46.1o 40.o I21 9.3 79.4 I8I I36.6 I18.7 24 I8I i.9158.I 21 o.5 1o.3 62 46.8 40.7 22 92. I 8o.o 82 1374 1I9.4 42 182.6 I58.8 3 02.3 02.o 63 47.5 4I.3 23 92.8 80.7 83 i38. I 20.1 43 83.4 1159.4 41o3. o 02.6 64 48.3 42.0 24 93.6 8I.4 84 I38.9 I 20.7 44 I84. I I60.I 5 o3.8 o3.3 65 49.' 42.6 25 94.3 82.o 85 I39.6 I2I.4 45 I84.9 I60. 6 o4.5 0o3.9 66 49.8 43.3 26 95. I 82.7 86 I40-4 122.0 46 185.7 16I.4 7 o5.3 o4.6 67 5o.6 44.0 27 95.8 83.3 87 I4I.1 22.7 47,I86.4 162.0 81o6.o o5.2 68 5I.3 44.6 28 96.6 84.o 88 I4I.9 I23.3 48 187.2 I62.7 I 9o6.8 o5.9 69 52. I 45.3 29 97.4 84.6 89 I42.6 I24.0 49 I87-9 I63.4 I0 07. 5 o6.6 70 52.8 45.9 30 98. I 85.3 go i43.4 124.7 50 I88.7 i64.o II o8.3 07.2 71 53.6 46.6 131 98.I 85.9 19iI 44.1 I25.3 251 I89.4 I64.7 2 0o9.1 07.9 72 54.3 472 32 996 86.6 92 I44.9 126.o 52 Ig90.2 65.3 13 0og.8 o8.5 73 55.I 47.9 33 Ioo.4 87.3 93 I45-7 I26.6 53 IgO.g I66.0 I4 io.6 o9.2 74 55.8 48.5 34 1O. I 87.9 94 i46.4 I:27.3 54 I91.7 i66.6 I5 11.3 og.8 75 56.6 49.2 35 IOI.9 88.6 95 I47.2 1I 27.9 55 I 92.5 I 67.3 I6 112.I io.5 76 57.4 49.9 36 I02.6 89.2 96 147.9 128.6 56 1i93.2 I68.o I7 I2.8 I.2 77 58. I 50.5 37 I0o34 89.9 97 I46.7 I29.2 571 I94.o0 I68.6 I8 I3.6 i.8 78 58.9 5I.2 38 Io4.I 90.5 98 I49.4 I29.9 58 I94.7 I69.3 I9 I4.3 I2.5 79 59.6 5i.8 39 104.9 91.2 99 I5o.2 I30.6 59 I95.5 169.9 20 5. I i3. I 8o 6.4 52.5 4o I05.7 91.8 200 I50.9 131.2 60 196.2 1j70.6 2I-I5.8 i3.8 8 6i-i. 53. II4I Io6.4 92.5 20I I5I.7 I3I.9 26I 197-0 I7I.2 22 i6.6 I4.4 82 6I.9 53.8 42 Io072 93.2 02 152.5 I32.5 62 I97.7 I7I.9 23 I7.4 15.I 83 62.6 54.5 43 I07.9 93.8 o3 I53.2 133.2 63 I98.5 I72.5 24 I8.I I5.7 84 63.4 55. I 44 I0o8.7 94.5 o4 I54.0o 33.8 64 199.2 I73.2 25 I8.9 I6.4 85 64.2 55.8 45 og9.4 95. I o5 154.7 I34.5 65 oo200.0 73.9 26 19.6 I7.1 86 64.9 56.4 461.295.8 o6 I55.5 I35.I 66 200.8 I74.5 27 20.4 17.7 87 65.7 57. - 47 II0.9 96.4 07 56.2 I35.8 67 20I.5 I75.2 28 21.1 i8.4 88 66.4 57.7 48 I I.7 97.I o8 I57.0 i36.5 68 202.3 1I75.8 29 21.9 19.o 89 67.2 158.4 49 II2.5 97.8 09 157.7 137.I 69 2o3.o0 76.5 30 22.6 I9.7 9o 67.9 59. o 50 I 3.2 98.4 io I58.5 37.8 70 203.8 I77.1 3I 23.4 -20.3 I 68.7 59.7 i5' II4.o 99.I 2II 159.2 138.4 271 204.5 177.8 32 24.2 2I,.0 92 69.4 60.4 52 14.7 99.7 2 I60.0 1I39.I 72 205.3 I78-4 33 24.9 21.6 93 70.2 6I.o 53 I 5.5 Ioo.4 I3 i6o.81 I39.7 73 206.0 I79.I 34 25.7 22.3 94 70.9 6.7 54 I I6.2 IOI.0 I4 i6i.5 I40o4 74 206.8 179.8 35 26.4 23.0 95 71.7 62.3 55 II7.0 IOI.7 5 I62;3 I4I.I 75 207.5 i8o.4 36 27.2 23.6 96 72.5 63.o 56 117.7 0o2.3 i6 i63.0o 14I.7 76 208.3 I8I.I 37 27.9 24.3 97 73.2 63.6 57 I 8.5 io3.o I7 i63.8j 142.4 77 209.I I81.7 38 28.7 24.9 98 74.0 64.3 58 1I9.2 I03.7 i8 i64.5 I43.o 78:209.8 I82.4 39 29.4 25.6 99 74.7 64.9 59 120.0 I04.3 I9 I65.3 143.7 79 210.6 183.o 4030. 2 26.2 I00 75.5 65.6 60 I20.81o5.0 20 i66.o I44.3 80 21 I.3 I 83.7 4I 30.9 26.9 10 76.2 66.3 i6I I2I.5 Io5.6 22I I66.8 I45.o 28I 212.I i84.4 42 3I.7 27.6 02 77.o 66.9 62 22.3 10o6.3 22 1 67.5 I45.6 82 2I2.8 i85.o 43 32.5 28.2 o3 77.7 67.6 63 123.ol Io6.9 23 168.3 146.3 83 2I3.6 185.7 44 33.2 28.9 04 78.5 68.2 64 I 23.8 10o7.6 24 69.1 I47.0 84 214.3 I86.3 45 34.o 29.5 o5 79.2 68. 65 I24.5 I08.2 25 I69.8 s47.6 85 215.i 187.0 46 347 30.2 o6 8o0.0o 69.5 66 I 25.31 08.9 26 I70o.6 148.3 86 2 5.8 187.6 47 35.5 3o.8 07 80.8 70.2 67 126.0 1 og.6 27 I71.3 I48.9 87 216.6 I88.3 48 36.2 3I.5 o8 8I.5 70.9 68 I26.8 IIo.2 28 I72.I 149.6 88 217-4 I88.9 49 37.0o 32.1 I o82.3 7I.5 69 I27.5 I o.9 29 I72.8 I50.2 89 2I8.1 I89.6 50 37.7 32.8 Io 83.o 72.2 70 I28.3 II i.5 3 I73.6 150.9 90 2I8.9 190.3 5I 38.5 33.5 III 83.8 72.8 I71 i29.1 II2.2 231 I74.3 I5I.5 291 2I9.6 90.9 52 39.2 34.1 I 2 84.573.5 72 129.8 I12.8 32 175.I1 52.2 92 220.4 II9.6 53 40.o 34.8 I3 85.3 74.1 73 i30.6 I 3.5 33 I75.8 I52.9 93 22I.I I92.2 54 4o.8 35.4 14186.o 74.8 74 I3I.3 II4.2 34 I76.6 153.5 94 221.9 192.9 55 4I.5 36. I I5186.8 75.4 751 I32. I i4.8 35 I774'I54.2 95 222.6 I93.5 56 42.3 36.7 I6 87.576. I 76I32.8 I I5.5 36 I78.I I54.8 96 223.4 I94.2 57 43.o 37.4 17 88.3 76. 8 77 I 336 I6. 37 I78.9 I 55.5 97 224.1 I94.8 58 43.8 38. I 8 89.T 77.4 78. -34.3 II6.8 38 I796 I 56.1 98 224.9 95S.5 59 44.5 38.7 I9 89.8 78.I 79 I35.I II7.4 39 i8o.4 I56.8 99 225.7 I96.2 60 45.3 39.4 20 go90.6 78.7 8o 35.8 I I8.I 4o0 I8.I I57.5 300 226.4 I96.8 Dist.at. Dit. D ep. Lat. Dist. Dep. Lat. Dist.1 Dep. Lat. [For 49 Degrees. - Page 581 TABLE II. Difference of Latitude and Departure for 42 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. ILat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. 12 00.7 00.7 6I 45.3 40.8 12i 89.9 8i.o i8I I34.5 121.1 24i 179-1 I6I..3 2 OI.5 oI.3 62 46. I4I.5 22 90.7 8I.6 82 I35.3 I2I.8 42 179-8 161.9 3 0 02o.o0 63 46.8 42.2 23 I9.4 82.3 83 i36.o I 22.5 43 I8o 6 162.6 4 o03.0 02.7 64 47.6 42.8 24 92. I 83.0 84 136.7 1I23.1 44 181.3 i63.3 5 03.7 03.3 65 48.3 43.5 25 92.9 83.6 85 I37.5 I 23.8 45 i82. I 63.9 6 o04.5 o04. 0 66 49.0 44.2 26 93.6 84.3 86 I38.2 I24.5 46 182.8 I64.6 7 05.2 04.7 67 49.8 44.8 27 94.4 85.o 87 I39.0 I125.1 47 i 83.6 I 65.3 8 05.9 o5.4 68 5o.5 45.5 28 95. I 85.6 88 I39.7 I 25.8 48 I 84.3 I65.9 9 o6.7 o6. o 69 5i.3 46.2 29 95.9 86.3 89 i 40.5 I 26.5 49 I85.o I 66.6 1O 007.4 o06.7 70 52.0 46.8 30 96.6 87.0 go 14I.2 127.1 50 I85.8 167.3 I Io8.2 07.4 7I 52.8 47.5 13I 97.4 87.7 I9I I41.9 i27.8 25I 186.5 I68.o 12 08.9 o8. 72 53.5 48.2 32 98. I 88.3 92 I42.7 1I28.5 52 187.3 i68.6 I3 09.7 o8.7 73 54.2 48.8 33 98.8 8g.o 93 I43.4 129.1 53 i88.0 I 69.3 14 I0.4 o0g.4 74 55.0 49.5 34 99.6 89.7 94 I44.2 I29.8 54 i88.8 170.0 I 5 I. I. 00 75 55.7 50.2 35 ioo.3 go.3 95 I44.9 I 30.5 55 I89.5 170.6 I6 11.9 IO.7 76 56.5 50.9 36 IOI. I 9I.0 96 I45.7 I3I.I 56 Igo90.2 171.3 17 I2.6; II.4 77 57.2 51.5 37 ioi.8 91.7 97 i46-4 i3i.8 57 I91.0 I72.0 i8 I3.4 12.0 78 58.o 52.2 38 Io02.6 92.3 98 147.1 132.5 58 191.7 172.6 I9 I4. II2.7 79 58.7 52.9 39 I03.3 93.0 99 I47-9 133.2 59 I92.5 173.3 2014.9 3.4 8o 59.5 53.5 4o io4.o 93.7 200 I48.6 I33.8 6o I93.2 174-0 2I I5.6 14. I 8i 60.2 5 421 I04.8 94.3 20I I49.4 I34.5 261 194.0 I74.6 22 I6.3 14.7 82 60.9 54.9 42 io05.5 95.0 02 I50.i I35.2 62 I94.7 I75.3 23 I7. I 5.4 83 6 1.7 55. 43 I6.3 95.7 o3 I50.9 35.8 63 I95.4 176.0 24 17.8 i6.I 84 62.4 56.2 44 107.0 96.4 o4 i5i.6 I36.5 64 I96.2 176.7 25 I8.6 I6.7 85 63.2 56. 45 107.8 97o0 o5 I52.3 I37.2 65 I96.9 177.3 26 19.3 17.4 86 63.9 57.5 46 Io8.5 97.7 o6 I53.1 I37.8 66 197.7 178.0 27 20.1 8. I 87 64.7 58.2 47 09.2 98.4 07 I 53.8 38.5 67 I 98.4 I78.7 28 20.8 I8.7 88 65.4 58.9 48 I O.0 99.0 o/8'I54.6 1I39.2 68 199.2 179.3 29 2I.6 9.4 89 66. I 59.6 49 IO.7 99.7 09 I55.3 I39.8 69 199.9 I8o.o 30 22.3 20.I go 66.9 60o. 2 50 I I I.5 Ioo.4 0Io i56.I 140.5 70 200.6 180.7 31 23.o 20.7 9I 67.6 60.9 I5I II2.2 101.0 2II I56.8 141.2 271 20I.4 181.3 32 23.8 2I.4 92 68.4 6i.6 52 ii3.o0I.7 I2 I 57.5 I4I.9 72 202.I 182.0 33 24.5 22.1 93 69. I62.2 53 II3.7 I02.4 13 I58.3 I42.5 73 202.9 182.7 34 25.3 22.8 94 69.9 62.9 54 I 44 4 Io3.o I4 159.0 1I43.2 74 203.6 I83.3 35 26.0 23.4 95 70.6 63. 55 I I5.2 I03.7 I5 159.8 I43.9 75 204.4 I84.0 36 26.8 24. I 96 71.3 64.2 56 I I5.9 Io4.4 I6 i6o.5 I44.5 76 205.I I84.7 37 27.5 24.8 97 72. I64.9 57 II6.7 io5. I 17 I6I.3 I45.2 77 205.9 I85.3 38 28.2 25.4 98 72.8 65.6 58 117.4 I05.7 i8 I62.0 I45. 78 206.6 186.0 39 29.0 26. I 99 73.6 66.2 59 118.2 I06.4 I9 162.7 I46.5 79 207.3 I86.7 4o 29-7 26.8 I00 74.3 66.9 60o I8.9 I07. I 20 I63.5 147.2 8o 2o8.I I87.4 4I 30.5 27.4 101 75. I 67.6 I6I I 9.6 I077 22I I64.2 147.9 28I 208.8 I88.o 42 3I 2 28. 02 75.8 68.3 62 I 20.4 IO8.4 2265.0 48.5 82 209.6 88.7 43 32.0 28.8 o3 76.5 68.9 63 I2 I.I I09. 23 I65.7 149.2 83 2io.3 189.4 44 32.7 29.4 o4 77.3 69.6 64 I2I 9 109.7 24 I66.5 I49.9 84 2I I. I90.0 45 33.4 30. I o5 78.0 70.3 65 I22.'6 IIo.4 25 I67.2 I50.6 85 2I.8 190.7 46 34.2 3o0.8 o6 78.8 70.9 66 I 23.4 III.I 26 i68.o 15I.2 86 212.5 I9I.4 47 34.9 3I.4 07 79.5 7I.6 124.1 17 27 168.7 151.9 87 21 3.3 I92.0 48 35.7 32.1 o8 8o.3 72.3 68 I24.8 112.4 28 169.4 I52.6 88 214.0 192.7 49 36.4 32.8 09 8I.o 72.9 69 125.6 I3. I 29 170.2 153.2 89 214.8 I93.4 So 37.2 33.5 I0 8I.7 73.6 70 I26.3 II3.8 30 1709 I53.9 go 2I5.5 I94.o 5I 37.9 34.I III 82.5 74.3 171 127.I II4-4 23I I71.7 I54.6 291 2I6.3 194.7 52 38.6 34.8 12 83.2 74.9 72 127.8 II 5.I 32 172.4 1I55.2 92 217.0 195.4 53 39.4 35.5 I3 84.0 75.6 73 128.6 I15.8 33 173.2 155.9 93 2I7.7 196.7 54 4o. I 36.8I i4 84.7 76.3 74 129.3 II6.4 34 I73.9 I56.6 94 218.5 196-7 5 4o.9 36.8 IS 85.5 77.0 75 I30.I II7.I 35 1I746 I57.2 95 219.2'97.4 56 4I.6 37.5 I6 86,2 77.6 76 I30o.8 II7.8 36 I75.4 I57-9 96 220.0 198.I 57 42.4 38.I I7 86.9 78.3 77 I3I.5 II8.4 37 76.I 58.6 97 220.7 1987 58 43. I38.8 I8 87.7 79.0 78 132.3 II9.I 38 I76.9 I59.3 98 I22I.5 I99.4 59 43.8 39.5 I9 88.4 79.6 79 i33.o II9.8- 39 177.6 I59.9 99 222.2 200.1 60 44.6 4o. 20 89.2 8o.3 80 33.8 I20.4 4o 178.4 60o.6 300 222.9 200.7 Dist. Dep. Lat Dist.J Dep. Lat. /Dist.1 Dep. Lat. Dist. Dep. Lat. Dist., Dep.. Lat. [For 48 Degrees. TABLE II. [Page 59 Difference of Latitude and Departure for 43 Degrees. Dist. Lat. Dep. Dist.1 Lat. Dep. Diet. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. I 00.7 00.7 6I 44.6 41.6 121 88.5 82.5 i8i 32.4 123.4 241i176.3 i64.4 2 oI. oi.4 62.45.3 42.3 22 89.2 83.2 82 133.1 124.1 42 I77.o0 65.o 302.2 o2.o 63 46. 43.o 23 90.0 83.9 83 1338 1624.8 43 177.7 165.7 4 02.9 o02.7 64 46.8 43.6 24 90o.7 84.6 84 i34.6 125.5 44 78.5 i~664 5 03.7 o3.4 65 47.5 44.3 25 91.4 85.2 85 135.3 126.2 45 179.2 167.1 6o4.4 o4i 66 48.3 45.0 26 92.2 85.9 86 ~36.o 1'26.9 46' I79'9 167.8 oS.I o4.8 67 49.0 45.7 27 92.9 86.6 87 1136.8 127.5 47 1 I80.6 i68.5 8 05.9 05.5 68 49.7 46.4 28 93.6 87.3 88,37.5 128.2 48 i8i.4 169.i o6.6 o6. 69 50.5 47.I 29 94.3 88.o 89 138.2 128.9'49 182.1 169.8 0 007.3 o6.8 70 51.2 47.7 30 95.1 88.7 90 139.o 129.6 50 i82.8 170.5 Ix o8.o 07.5 71 51.-9 48.4 131 95.8 89'.3 191 139.7 i3o.3 251 i83.6 171.2 12 o8.8 08.2 72 52.7 49.' 32 96.5 go.0 92 I4o.4 130.9 52 i84 3 1719 13o09.5 08.9 73 53.4 49.8 33 97.3 90.7 93 i4i.2 131.6 53 i85.o 172.5 10.2~~~ ~ ~ ~,i. 54!/19!'096 i501'8 173'5 I4 0.2 09. 74 54. 5o.5 34 98.0 91.4 94 4. 32.3 54 8.8 173.2 -5 11.o 10.2 75 54.9 51.1 35 98 7 92.1 95 4"2.6 133.0 55 i86.5 173.9 i6 II.7 109 76 55.6 51i.8 36 99.5 92.8 96 i43.3 133.7 56 187.2 174.6 17 12.4 ii.6 77 56.3 52.5 37 100.2 93.4 97 44.I i34.4 57 i88.o 175.3 I8 13.2 12.3 78 57.0 53.2 38 0oo.9 94.' 98 44.8 135.0 58 188.7 I76.0 19 3.9 i3.o 79 57.8 53.9 39 101.7 948 99 i45.5 135.7 59189.4 176.6 20 i4.6 i3.6 8o 58.5 54.6 40 I102.4 95.5 200 146.3 I 36.4 6o I90.2 177.3 21 o 8I592 55.2 i4i o3. 96.2 20I 147.0 137.1 261I 90.9 178. 154i.3 59.2 55.2 4 o3' 22 i6. 15.0 82 6o.o0 55.9 42 103.9 96.8 02I147.7 137.8 62 ig9.6 178.7 23 i6.'8 15.7 83 660.7 56.6 43 io4.6 97.5 o3 I 48.5 1 38.4 63 192.3 I 9. 4 24 17.6 16.4 84 6i.4 57.3 44 io5.3 98.2 o4 149.2 i3g9. 64 93.1I i8o.o 25 i8.3 17.0 85162.2 58.o 45 io6.o 98.l 5 i 19.9 139.8 65 193.8 180.7 26 1. 17.7 86 62.9 58.7 46 io6.8 99. o6 150.7 i4o.5 66 1 94.5 I8 1i.4 27 I9.7 i8.4 87 63.6 59.3 47 107.5 zoo.3 07 isi.4 i41.2 67 195.3 182.1 28 20.5 i 7I 88 64.4 6oo 48 08.2 I0o.9 o8 i52.1 4i.9 68 196.0 182.8 29 21.2 19.8 89 65.; 60. 7 49 og.o ioi.6 09 52.9 142.5 69 196.7 1i83.5 30 21.9.20.5 go90 65.8 6i.4 So 109.7 102.3 10 i53.6 143.2 70 197.5 I84.I 302o14.9 20.5-4 3.6 29 182 19862 oo84.8 31 22.7 21.1 9I166.6:I 2.1 I IIo.4 I3.' 211 i543 143.9 i7o ~9. I; 32 23.4 21.8 92 67.3 62.7 52 111.2 103.7 12 155.o i44.6 72 i98.9 i85.5 33 24.1 22.5 93 68. o63.4 53 111.9 io4.3 13i 55.8 i45.3 73 199.7 I86.2 34 24.9 23.2 94 68.764.' 54 112.6 io5.o 4 i56.5 145.9 74 200.4 86. 35 25.6 23.9 95 69.5 64.8 55 I13.4 105.7 iS i57.2 i46. 75 201.I 187.5 36 26.3 24.6 96 70.2 65.5 56 ii4.1 io6.4 I6 i58.o 147.3 76 20.9 188.2.37 27.1 25.2 97 70.9 66.2 57 1i4.8 107.1 I 7158.7 i48.o 77 202.6 188.9 38 27.8 25.9 98 71.7 66.8 58 (i5.6 107.8 I8 159.4 i48.7 78 203.3 i89.6 39 28.5 26.6 99 72.4 67.5 59 i6.3 io8.4 19 160.2 i49.4 79 204.0 190.3 40 29.3 27.3 100 73.1 68.2 6o 117.0 109.I 20 160.9 i5o.o 8o 204.8 191.0 41 3o.p 28.0 101 73.9 68.9 i6i II7.7 109.8 221 i6i.6 150.7 281 205.5 191.6 42 30.7 28.6 02 74.6 69.6 62 ni8.5 iio.5 22 162.4 IS5.4 82 206.2 192.3 43 31.4 29.3 o3 75.3 70.2 63 I19.2 III.2 23 I63.i52.1 83 207.0 193.0 44 32.2 30.0 o4 76.1 70.9 64 ii9.9 III. 24 i163.8 652.8 84 207.7 I93.7 45 32.9 30.7 05 76.8 71.6 65 I20.7 I12.5 25 i64.6 1 53.4 85 208.4 194.4 46 33.6 3'.4 o6 77.5 72.3 66 121.4 113.2 26 x65.3 154.' 86 209.2 195.1 47 34.4 32.I 07 78.3 73.0 67 122.1 113.9 27 i66.o I 54.8 87 209.9 195.7 48 35. I 32.7 o8 79.0 73.7 68 122.9 I i 28 1i667 155.5 88 2io.6 19'6.4 49 35.8 33.4 09 79.7 74.3 69 123.6 115.3 29 167.5 i156.2 89 2.ii4 1g97. So 36.6 34.' io 8o.4 7S.O 70 i24.3115.9 30 168.2 156.9 90 212.1 197.8 I 37.3 34.8 1 81.2 75.7 178 125.1 ii6.6 2311 68.9 57.5 291 22.8 198.5 ii' 52 38.o 35.5 12 8i.9 76.4 72 i25.8 117.3 32 169.7 1S8.2 92 213.6 199.1 53 38.8 36.1 13 82.6 77.1 73 i26.5 ~i8.o 33 170.4 158.9 93 2i4.3 199.8 54 39.5 36.8'4 83.4 77.7 74 127.3 118.7 34 171.1 159'6 94 215.0 200.5'4o.12 37.5 I1 84.' 78.4 75 128.0 o 9.3 3S 171.9 I6o.o3 95 2.I. 7 201.2 I56 4i.o 38.2 i 684.8 791 76 i28.7 1o20.0 36 172.6 i6i.o 96 216.5 201.9 57 4I1.7 38.9 I7 85.6 79.8 77 129.4 I120.7 37 173.3 i6i.6 97 217.2 202.6 I S 42.4 39.6 i8 86.3 8o.' 78 130.2 121.4 38 174,.1 62.3 198 217.9 23.2 S9 43.I 4o.2 19 87.0 81.2 79 3o.9 1222.1 39 174.8 i63.o 99 218.7 203.9 6o 43.9 4o.9 20 87.8 8i.8 8o 3i.6 I22.8 4 I75. 163.7 300 219.4 204.6 6ist. -Dep. Lat. )is5. Del). I at. Dist. oep. Lat. I)ist. 5 at..' Lat. For 47 Degrees. j I_ ~ ~ ~ ~ ~ 6 6 I8 4. 7.0. 8 -9 Page 60] TABLE Ii. Difference of Latitude and Departure for 44 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. i 00.7 00.7 6i 43.9 42.4 I2| 87. o 84.I I8I I30.2 125.7 24I I73.4._-.4 2 OI.4 CI.4 62 44.6 43. 22 87.8 84.7 82 130.9 126.4 42 174.I 1' I 3 02.2 02.I 63 45.3 43.8 23 88.5 85.4 83 I3i.6 I27.1 43 174.8 i 68.8 4 02.9 02.8 64 46.0o 44.5 24 89.2 86. 84 I3'2.4 127.8 44 I 75.5 169.5 5 o3.6 o3.5 65 46.8 45.2 25 89.9 86.8 85 133.I 128.5 45 176.2 170.2 6 o4.3 04.2 66 47.5 45.8 26 90.6 87.5 86 i33.8 I29.2 46 177- 170o.9 7 o5.C 04.9 67 48.2 46.5 27 91.4 88.2 87 i34.5 I29.9 47 I77.7 I 7.6 8 o5.8 o5.6 68 48.9 47.2 28 92.I 88.9 88 I35.2 I3o.6 48 I 78.4 I72.3 9 o6.5 o6.3 69 49.6 47.9 29 92.8 89.6 89 i36.o 13I.3 49 179.I 173.0 Io 07.2 06.9 70 50.'4 48.6 30 93.5 go. 3 9o I36.7 I 32.o 5 179.8 173.7 I 10 o79 07.6 7I 5I. I 49.3 i3i 94.2 91.0 I9II37.4 I32.7 25I I80.6 174.4 12 08.6 o8.3 72 5ri.8 50.o 32 95.0 91.7 92 I38.I I33.4 52 I8I.3 175.1 13 09.4 09.0 73 52.5 50.7 33 95.7 92.4 93 i38.8 I34.1 53 I82.0 175.7 i4 Io.I 09.7 74 53.2 5I.4 34 96.4 93. 94 I39.6 134.8 54 182.7 176.4 15 io.8 iO.4 75 54.o 52.I 35 97.I 93.8 95 I40.3 I35.5 55 183,4 177.1 i6 II.5 11.I 76 -54.7 52.8 36 97.8 94.5 96 1I4.o I36.2 56 I84.2 I77.8 17 z2.2 ii.8 77 55.4 53.5 37 98.5 95.2 97 I41.7 I 36.8 57 184.9 I 78.5 I8 12.9 12.5 78 56. I 54.2 38 99.3 95.9 98 I42.4 I37.5 58 I85.6 I79.2 19 I3.7 I3.2 79 956.8' 54 9 39 I00.o 96.6 99 143.i 138.2 59 I86.3 20 14.4 3. 9 80o 57.5 55.6 40 I00.7 97.3 200 143.9 138.9 60 187.0 i80.6 2I I5.I I4.6 8I 58.3 56.3 I4 Ioi.4 97.9 20I i44.6 I39.6 26- I87-7 I8Ir.3 22 I5.8 I5.3 82 59.0 57.0 42 102.1 98.6 02 145.3 I40.3 62 i88.5 I82.o 23 I6.5 i6.0 83 59.7 57.7 43 102.9 99.3 03 i46.o I4i..o 63 189.2 I82.7 24 1I73 16.7 84 60.4 58.4 44 10o3.6 Ioo.o o4 146.7 14I.7 64 189.9 I83.4 25 I8.0 I7.4 85 6. I 59.0 45 io4.3 I00oo.7 05 47.5 142.4 65 I90.6 i84.i 26 8.7 i8. I 86 61.9 59.7 46 io5.o Io.4 o6 I48.2 I43.I 66 19I.3 I 84.8 27 I9.4 x8.8 87 62.6 6o.4 47 io5.7 02.1 07 148.9 I43.8 67 I92.I1 85.5 28 20.1 19.5 88 63.3 6i.I 48 I0o6.5 I02.8 o8 I49.6 i44-5 68 I92.8 I86.2 29 20.9 20.I 89 64.o 6I.8 49 107.2 io3.5 og I5o.3 145.2 69 193.5 I86.9 30 21.6 20.8 90go 64.7 62.5 50 1079 104.2 IO I5.i 145.9 70 194.2 187.6 31 22.3 21:.5 9I 65.5 63.2 I5-I Io8.6 1o04.9 211 i5i.8 I46.6 27I I94.9 I88.3 32 23.0 22.2 92 66.2 63.9 52 o09.3 Io5.6 12 I52.5 I47.3 72 I95.7 I88.9 33 23.7 22.9 93 66.9 64.6 53 IIo.I Io6.3 I3 I53.2 I48.o 73 I96.4 I89.6 34 24.5 23.6 94 67.6 65.3 54 IIo.8 I07.0 I4 I53.9 I48.7 74 197-I I90.3 35 25.2 24.3 95 68.3 66.0 55 111.5 107.7 I5 154.7 149.4 75 197.8 I 91.0 36 25.9 25.0 96 69.1 I 66.7 56 112.2 Io8.4 i6 155.4 I5o.o 76 198.5 19I.7 37 26.6 25.7 97 69.8 67.4 57 112.9 I09.I 17 156.I 150.7 77 I99.3 192.4 38 27.3 26.4 98 70.5 68.1 58 113.7 og9.8 i8 156.8 151.4 78 200.0 193.I 39 28.1 27.1 99 71.2 68.8 59 11i44 Iio.5 I9 157.5 152.1 79 200.7 I93.8 40 28.8 27.8 I00 71 9 69.5 60 II5. I111.1 20 I58.3 I52.8 80 201.4 194.5 4I 29.5 28.5 101 72.7 70.2 I6i xI5.8 1-I.8 22I I59.0 i53.5 28I 202.I 195.2 42 3o 02 29.2 02 73.4 70. 62 I 6.5 112.5 22 I59.7 I54.2 82 202.9 I95.9 43 30. 29.9 03 74. I 71.5 63 11II7.3 3.2 23 I6o.4 154.9 83 203.6 196.6 44 3I.7 36.6 o4 74.8 72.2 64 ii8.o 113.9 24 I6i.i i55.6 84 204.3 197.3 45 32.4 3I.3 o5 75.5 72.9 65 118.7 II4.6 25 I6I.9 I56.3 85 205.0 I98.0 46 33.I 32.0 o6 76.3 73.6 66 I 19.4 I5.3 26 162.6 I57-0 86 205.7 198.7 47 33.8 32.6 07 77.0 74.3 67 I20.I i16.o 27 i63.3 157.7 87 206.5'99.4 48 34.5 33.3 08 777 75.0 68 120.8 II6.7 28 i64.o I58.4 88 207.2 200 I 49 35.2 34.0 09 78.4 75.7 69 121.6 117.4 29 I64-7 I59. 89 207.9 200.8 50o 36.o 34.7 10 79.1 76.4 70 I22.3 II8.I 30 i65.4 I59.8 90 208.6 201.5 5I 36.7135.4 III 79.8 77-1 171 123.o I8.8 23I I66.2 i60.5 291 209.3 202.1 52 37.4 36.I 12 28o.06 77.8 72 123.7 II9.5 32 166.9 16I.2 92 210.0 202.8 53 38.I 36.8 I3 8i.3 78.5 73 124.4 120.2 33 i67.6 161.9 93 2i0.8 203.5 54 38.8 37.5 14 82.0 79.2 74 I25.2 I20.9 34 I68.3 162.6 94 24I.5 204.2 5 39.6 38.2 I5 82.7 79-9 75 125.9 121.6 35 I69.o I63.2 95 212.2 204.9 56 4o.3 38.9 I6 83.4 8o.6 76 I26.6 122.3 36 I69.8 163.9 96 212.9 205.6 57 4r.o 39.6 17 84.2 8I.3 77 127.3 123.o 37 I70.5 i64.6 97 2I3.6 206.3 58 41.7 4o0.3 I8 84.9 82.0 78 128.0 I23.6 38 I7I.2 i65.3 98 214.4 207.0 591 42.4 41.o 19 85.6 82.7 79 128.8 I24.3 39 171.9 i66.o 99 2I5.I 207.7 60 43.2 41.7 20 86.3 83.4 8o 29.5 1I25.0 4o I72.6 66.7 300 215.8 208.4 I)ist.I Dep. Lat. Dist. D Lat. ist. Dep. Lat. Dist. Dep. Lat. Dist. Dep. Lat. [For 46 Degrees. TABLE II. Page 61 Difference of Latitude and Departure for 45 Degrees. Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat.: Dep. Dist. Lat. Dep. Dist. Lat. Dep. I 00.-7 00.7 6i 43. I 43.I 121 85.6 85.6 i8I 128.o I 28.0 241 170.4 170.4 2 o0.4 oi.4 62 43.8 43.8 22 86.3 86.3 82 128.7 I 28.7 42 171. I 171.I 3 02. I 02. I 63 44.5 44.5 23 87.0 87.0 83 I129.4 129.4 43 171.8 I7I.8 4 02.8 02.8 64 45.3 45.3 24 87.7 87.7 84 i30. I I3o.I 44 I72.5 I-2.5 5 o3.5 03.5 65 46.o 46.o 25 88.4 88.4 85 i3o.8 I3o.8 45 173.2 I 73.2 6 o4.2 o4.2 66 46.7 46.7 26 89. I 89.I 86 131.5 I3i.5 46 173.9 I73.9 7 04.9 04.9 67 47.4 47.4 27 89.8 89.8 87 I32.2 I32.2 47 I74.7 I74.7 8 o5.7 05.7 68 48. I 48.I 28 90.5 90.5 88 32.9 I32.9 48 175.4 I75.4 9 o6.4 o6.4 69 48.8 48.8 29 91.2 91.2 89 i33.6 i33.6 49 176. I 176. I 10 07. I 07. 7o 49.5 49.5 30 9.9 91.9 90 I34.4 I34.4 50 I76.8 I76.8 1I 07.8 07.8 71 50.2 50.2 i3i 92.6 92.6 i9I I35. I I35.1 251 I77.5 177.5 I2 o8.5 o8.5 72 50.9 509 32 93.3 93.3 92 i35.8 i35.8 52 I78.2 I 78.2 I3 09.2 o09.2 73 5I.6 5i.6 33 94.0 94.0 93 I36.5 I 36.5 5178.9 178.9 I4 09. 9 09.9 74 52.3 52.3 34 94.8 94.8 94 I37.2 I37.2 54 I79.6 I79.6 I 5 io.6 io. 75 53.0 53.0 35 95.5 95.5 95 137.9 I37.9 55 i8o.3 I8o.3 i6 Ii.3 ii.3 76 53.7 53.7 36 96.2 96.2 96 i38.6 i38.6 56 i8i.o i8i.o 17 I2.0 I2.0 77 54.4 54.4 37 96.9 96.9 97 I39.3 139.3 57 I8 1.7 i8I.7 i8 12.7 12. 7 78 55.2 55.2 38 97.6 97.6 98 I4o.o T4o.o 58 I82.4 I82.4 I9 I3.4 I3.4 79 55.9 55.9 39 98.3 98.3 99 I40.7 I40o.7 59 i83.i i83.i 20 I4.I I4. I 8o 56.6 56. 4o 99.0 99.0 200 141.4 I41.4 6o i83.8 i83.8 2I I4.8 i4.8 8i 57.3 57.3 i4i 99.7 99.7 201 i42.1 I142.I 26i I84.6 i84.6 22 I 5.6 I5.6 82 58.o 58.o 42 Ioo.4 Ioo.4 02 I42.8 142.8 62 I85.3 i85.3 23 i6.3 i6.3 83 58.7 58.7 43 ioi.I loi.I o3 i43.5 i43.5 63 i86.0 i86.o 24 I7.0 I7.0 84 59.4 59.4 44 ioi.8 Ioi.8 o4 I44.2 i44.2 64 I86.7 I86.7 25 I7.7 17.7 85 6o.I 6o. I 45 I02.5 102.5 o5 i45.o i45.o 65 I 87.4 I87.4 26 i8.4 I8.4 86 6o.8 60.8 46 Io3.2 I o3.2 o6 145.7 145.7 66 I88.I i88.I 27 19.I I9. I 87 6I.5 6i.5 47 io3.9 I03.9 o7 i46.4 I46.4 67 I88.8 i88.8.8 I9.8 g19.8 88 62.2 62.2 48 I04.7 Io04.7 o8 i47.I I47-.i 68 I89.5 I89.5 29 20o. 5 20o. 5 89 62.9 62.9 49 I o54 I o5.4 o9 I47.8 I 47.8 69 I9o.2 I90.2 30 6 ] 62~.9 49~9 30 21.2 21.2 9o 63.69 63.6 50 io6.i io6.i io i48.5 I48.5 70 I90.9 I90.9 3i 21.9 2i.9 91 64.3 64.3 i5i io6.8 io6.8 211 149.2 I49.2 27I 19I.6 I9gi.6 32 22.6 22.6 92 65. I 65.i 52 107.5 107.5 I 2 I49.9 149-9 72 192.3 192.3 33 23.3 23.3 93 65.8 65.8 53 io8.2 108.2 I3 i50.6 i 5o.6 73 I93.0 I93.0 34 24.0 24.0 94 66.5 66.5 54 I08.9 1o8.9 I4 i5i.3 I5I.3 74 I93.7 193.7 35 24.7 24.7 95 67.2 67.2 55 IOg9.6 1o9.6 i 5 I52.0 I52.o 75 194.5 I94.5 36 25.5 25.5 96 67.9 67.9 56 I1o.3 Iio.3 i6 I52.7 152.7 76 I95.2 I95.2 37 26.2 26.2 97 68.6 68.6 57 II.O 111.0 17 i53.4 i53.4 77 I95.9 195.9 38 26.9 26.9 98 69.3 69.3 58 III.7 II1.7 I 8 154.1 i54.i 78 I96.6 I96.6 39 27.6 27.6 99 70.0 70.0 59 112.4 II2.4 19 154.9 I54.9 79 197.3 197.3 4o 28.3 28.3 Ioo 70.7 70.7 6o II3. I i3.i 20 i55.6 i55.6 8o I98.0 I98.0 4I 29.0o 29.0 IOI 7I.4 71.4 i6I iI3.8 I I3.8 22I i56.3 i56.3 28I I98.7 I98.7 42 29.7 29-7 02 72.I 72.I 62 I i4.6 I i4.6 22 157.0 i57.0 82 I99.4 I99.4 43 30.4 3o.4 o3 72.8 72.8 63 I i5.3 I I5.3 23 i57.7 I57.7 83 200. I 200.I 44 3I.i 3I.I o4 73.5 73.5 64 I i6.o I i6.o 24 i 58.4 i 58.4 84 200oo.8 200.8 45 3i.8 3I.8 o5 74.2 74.2 65 116.7 II6.7 25 I59.1 159.I 85 20I.5 20oi.5 46 32.5 32.5 o6 75.0 75.o 66 117.4 I1I7.4 26 I59.8 I59.8 86 202.2 202.2 47 33.2 33.2 07 75.7 75.7 67 I i8.I I i8.i 27 J6o.5 i60.5 87 202.9 202.9 48 33.9 33.9 o8 76.4 76.4 68 Ii8.8 II8.8 28 I6I.2 I6I.2 88 203.6 203.6 49 34.6 34.6 09 77.I 77.1 69 119.5 119.5 299 I6I. 9 I61.9 89 204.4 204.4 5o 35.4 35.4 o10 77.8 77.8 7o I20.2 I20.2 30 162.6 162.6 90 205.I 205.I 5i 36.I 36.I III 78.5 78.5 I71 20.9 20.9 23i i63.3 i63.3 291 205.8 205.8 52 36.8 36.8 I2 79.2 79.2 72 121.6 I2I. 32 i64.o i64.0 92 206.5 206,5 53 37.5 37.5 I 3 79.9 79.9 73 I22.3 I22.3 33 i64.8 i64.8 93 207.2 207.2 54 38.2 38.2 I4 80.6 8o.6 74 I23.o 123.0 34 i65.5 i65.5 94 207.9 207.9 55 38.9 38.9 I5 8i.3 8i.3 75 I23.7 123.7 35 I66.2 I66.2 95 208.6 208.6 5 6 39.6 39. 6 82.0 82.o 76 I24.5 I24.5 36 I66.9 166.9 0 2o09.3 20o9.3 57 40.3 40.3 17 82.7 82.7 77 I25.2 I25.2 37 I67.6 I67.6 97 2IO.0 210.0 58 4i.o 4I.o I8 83.4 83.4 78 125.9 I25.9 38 i68.3 I68.3 98 2IO.7 210.7 59 41.7 41.7 I9 84.I 84.I 79 I26.6 126.6 39 i69.0 I69.0 99 2I.4 2II.4 60 42.4 42.4 20 84.9 84.9 80 I27.3 127.3 40 I69.7 I69.7 3o00 212.I1 2I2.1 Dist. Dep. Lat. Dist. Dep.. st. Dep. at. Dist. Dep. Lat. Dist. Dep. LLat. [For 45 Degrees. Page eMl TABLE III. l ~ ~~~~~~Meridional Parts. M. 0o 1o 20' 3~ 40 50 60 70 I 8~' go lo~ 110 120 130 M. i,''60 -iao-z8o:240 300' 36~ 42i'482 542 603 664 725 787 c z 6I 121 i8I 24I 30I 362 422 483 543 604 665 726 788 I 2 a 62 IZi2 i82 242 302 363 423 484 544 605 666 727 789 2 3 3 63 z23 I83 243 303 364 424 485 545 6O6, 667 728 79O 3 4 4 64 i24 i84 244 304 365 425 486 546 607 668 729 79I 4 -5- 5: 65 1-25 —— 85 -245 -305-~366 -426 48 547 608 -669 -730 792 C 61 6 66 I26 i86 246 306 367 427 488 548 609 670 731 793 6 7 7 67 127Z87 247 307 368 428 489 549 6i0 67I 732 794 7 8 8 68.128 I88 248 3o8 369 429 490 550 6ix 672 734 795 9 9 69 1 219 i89 249.309 370 3 9 5i6267 7576 9 10 I 70 ~o 10 25 3io371 430 492 552 6i3 673 736 79761 I 71I[3I1I91 25r- 3It 372 432 493 553 6x4 6577798 - i 1 12 72 x32 192 252 312 373 433 494 554 6i5 676 738 799 I2 I3 r3 73 r33 r93 253 3x3 374 434 495 555 6i6 677 739 8o0 i3'i4 14 74 r34 194 254 314 375 _435 496 556 617 678 740 8or z4 i~-~ r5- 75 i35 19 —-5 —-55 3i5 "376- 436 497 557 6i8 679 741 802 x5'i6 16 76 i36 x96 256 3z6 377 437.498 558 6i9 680 742 803 i6!17 17 77 i37 197 257 317 378 438 499 559 6o617384I i8. i8 78 r38 9828 3i8 379 439 500 560 Oar 682 744 80 i8 r9 7 9 x39 ig,259 3ix9 380 440 5oi 56i 622 683 745 8o6 ig 20 80 i4o 20o2o,6:32o 38i' 44i 5o0a2!2z 21 8i x4l 201 26i 3at 382 442 503 564 624 685 747 808 21 22 22 82 142 202 262 322 383 443 504 565 625 687 748 809 22 23 A3 83 r4,o3 263 323 384 444 505 566 626 688 749 8to 23!24 24 84 I44 204 264 324 385 445 5o6 567 627 68 9 7Do 811 24 25 25 -85- z45 205 265 32'5 386 446 507 568 628 607i822 2~6 26 86'r46 2o6 266 326 387 447 5o8 569 629 691 752 8i3 26 2, 7 87 z47 207 267'37388 448 5o9 570 63i 692 753 8i5. 27 28 28 88 x48,o8 268 328 389 449 5io 57z 632 693 754 8x6 28 29 29 89 ig, 20 269 330 390 450 5xr 572 633 694 755 8I7 2 30.3o'g0 i5o 210 27o 33t 39i 45z 512 57 —3- 695 756 8M 3c 3i 3x 9i i~l 21I 27i 332 392 452 5x3 574 635 696 757 8i9 3i 32 32 92 152 212 a72 333 393 453 5z4 575 636 697 758 820 32 33 33 93 r53 2i3 273 334 394 454 5i5 576 637 698 759 82i 33 j34 34 94'z54 214 _27._4 335 395 455 5i6 577 638 699 _760 822 34 95 3 9 6 —456 5x7~~~ 578 639 82300 36 36 96 i56 2t6 276 337 397 457 5r8 59640 701 762 824 36 37 37 97 I57 2-17 277 338 398 458 5ig98 64I 702 763 825 37 38 38 98 x58 2i8 278 339 399 459 52o 58i 642 703 764 826 38 39 3,9 99 i'59 219 279 340 400 460 $2i 582 643 704i 765 827 39 40 4o io i~o 22 — ~8 4i Ol 461 522 58-'3 —644 705 766 828 4c 41 4i ioi i6l 221 28i 342 402 462 523 5'84 645 706 767 829 41,o2 42 10 62 222 282 343 403 463 524 585 646 707 768 830 42 t34 o3 i63 22'3 283 344 404 464 525 586 647 7o8 769 83, 4 44 44 io4 I 6A 224 284 -345 405 465 -526 587 706708 27o9 4545 io5 i65 22 ~5 346 4o6' 6 587 — g649 710 771 83 4 46 46 io6 i66 226 286 347 407 467 528 589 -650 711 772 834 46 47 47 107 x67 227 287 348' 408 468 529 5986IV 73854 48 48 108 168 228 288 349 409 469 530 59z 652 7r3 774 836 48 49 4 — ig -~g 29 28 35 4io47o53i 592 653 7r4 775 837 49 5-0 50 ii0: —]023o5 4[...77838 5co 17 2o go 3i I47z 532 593 654 71577 51 51 III 171 231 29i 352 412 472 533 594 655 7V6 778 839 5i 52 52 I12 I72 232 292 353 4i3 473 534 595 656' 717 779 840 52 53 53 IO 173 233 293 354 4i8 474 535 596 657 7i8 780 84i 53 54 54 ix4 174 234 294 355 4r5 476 536 597 658 719 78i 842 54 5-5 55' ix 175' 235 -295: -356 4i6 477 -5-37 598 -65-9-720782 843 55 56 56 ii6 I76 a36 296 357 417 478 538 599 660 721 783 844 56 57 57 117 177 237 297 358 4i8 479 539 6o0 6 2 74855 58 58 118 178 238 298 359 4i9 480 540 6or 662 723 785 846 58 59 59 i~q 39 299 36o 420 48i 54i 602 663 724 786 84_.7 5_9. 0o'"20 40 5~ 60 70 8~ 9~i0; 11 ~ IF 12~ 130 M TABLE III. [Page 63 Meridional Parts. Al. 140 15~ 160 170 18~ Igo 200121~0 220' 230 240 1250 260 27~0'~848 91o 97io35o9 1161 z1225"'3 1 289 73"551 44'i~o i616 -18I 850 911i 974 36 99 63 26 go 55 20 85 51 18 85 I 2 851 913 975 37 11oo 64 27 91 56 2, 86 52 19 86 2 3852 914 976 38 oI 65 28 92 57 22 87 53 2o 87 3 4853 9I5 977_ 39 02 66 29 93 58'23 88 54 21 88 4 -54 9I —L98 OIIo i6 I23o 1295 1359 1424 ]49~ 1556 I622 1689 -5 685591 79 4 os 68 32 960 25 go5 23 go06 7856 i8 980 43 06 69 33 97 61 261 92 5 4 9 8857 919 981 44 07 70 34 98 6 27 93 5 5 9 988920 982 45 08 71 35 99 63 28 94 6o 26 94 9 Io859 921 983 lO46 1io.9 1172 I236 13oo 1'6/4 14o 149.16 ]68i9 o I'860 2 8 7'o 73 37 o1 66 31 6 6 29 96 i 12 861 923 985 48 11 74 38 02 67 32 97 6303 97 1 13 862 924 986 49 12 75 39 03 68 33 98 64 31 98 ]31 14 863 925 987 50 I3 76 4o 04 69 34 99 65 32 991i4 1'584926 988 lO51 1114 i 17i24{- 3o5 137 ]435 ]i5o0 567 i6-33 7o1 16 865 927 989 52 15 78 42 06 71 36 02 68 34 o1 16 17 866 928 99~ 53 i6 79 43 07 72 37 03 69 35 03 17 i8 867 92?9 991 54 17 8i 44 08 73 38 04 70 37 04 i ]_99_868 930 993 55 18 82 45 1o 74 39 05 71 38 0 5 i9 2o 869:93 i- 994 i056 111 i183 1246 1311 i375 144o I5O6 1572 i3 ~62 870~~~~~~~~~~~~~~~I3 07o o 180',932 995 57 20 84, 48 12 76 4] 07 73 40 0 21 22 871.933 996 58 21 85 49 13 77 43 o8 74 4I'8 22 23 872 934 997 59 22 86 50 14 79 44 09 75 42 092 24 873 935 998 60 23 87 51 15 80 45 ]0 7 743 II 24 -584936 999 lO6i11]25 1188 i252 ]316 138] x446' I5 578 1644 17I2 2 26 875 937 iOOO 63 26 89 53 17 82 47 13 79 45 13 26 27 876 938 Ol 64 27 90 54 18 83 48, ]4 80 47 14 27 28 77 39 02 65 28 91 55 19 84 49 ]5 81 48 ]5 28 03 66 29 92 56 20 85 5o ]6 82: 49 1629 30 7 942 ioo4']o67 113o ~i93' 1257'32] i386'1451 ]1517 i53 65o 17I7 3o 31 8o943 05 68 3I 94 58 22 87 52 18 84 51 18 31 32 882 94 06 69 32 95 59 24 88 53 ]9 85 52 2o 32 9383'94 o 7 3 96 60 25 89 55 20 86 53 21 33 33 8394 0 7 34 884 946.08 71 34 98 61 26 90 56 21 88 54 22 34: T5 -~ 8 947" I00o172 1135' I99 1262']327 ] 392 1457 ]522 i589 i656 I7335 36 886 948 Io 73 36 12oo 64 28 93 58 24 go 57 24 36 37 887 949 II 74~ 37 Ol 65 29 94 59 25 i 5 253 38 888 950 12 75 38 02 66 3o 9 60 2 92 59 26 38 889 95I I3 76 39 o3 67 3] 9 6] 27 93._ 273 4'o 89o02 4' o' ioi4177 ii~o 1204 i268 i3-2 i3 —7 16 5819 66140 42892 954 i6 79 42 06 70 34 99 64 30 96 63 314 4 93 95 80 44 07 71. 35 14oo 65 31 864 3 43 44 894'956 19 8i 45 08 72 36 o] 67 32 99 66 33 44 4 — 895 957 ii2 oh~46 1209 1273 ]338 1402 1468 i533 16oo 6773 46 896 958 21 84/ 47 1o0 74 39 03 69 35 ox 6 356 47 8 7959 22 85 48 I] 75 4o 5 70 36 02 9 364 48 8 go 2 6 4 2 7 i o 71 37 03 70 38 48 49899 6i'24'87 50 ]3 77 42 07 72, ~ 38- 04 71 39 49 TO 900 - 962' ~1025 1088 I IT, 1215 1278 1343 1'4o8 i473 i 539 ]605 1672 1'"o 5-o 51 g~] 963 26 89 52 16 80 44 09 74 40 06 73 4i 5] 52 02 64i 27 go 53 17 81 45 lO 75 41 o8 75 425 539o3 965 28 9] 54 1 8 82 46 ]1 76 42 09 76. 43 53 54 904 966 29 92 55 19 83 47 12 77 43 ]o 77 44 54 5'5-905! 968 io3o io93 1i56' 122o I284 i348 ]413 ]479 1544 i61] 1678 i765-5 56~ 906 969 3] 94 57 2] 85 49 i4 80 46 12 79 47 56 907 ~o 3 95 58 22 86 50 15 8 ~ I3 80 85 58 o8971] 3 96 59 23 87 52 i 82 4 i 498 59 9pq97 34 97 60 24 88 53 ] 8 83 49 ]5 82 50.59 5~~~- -- T7 Meridional Parts. P[ age 64] M. 280 290 300 310 320 330 340 350 360 370 380 390 400 410 M. 0 1751 i8-1 i888 i958 2028 2100o 2171 2244 2318 2393 2468 2545 2623 2702 0 52 5 21 90 59 30 o 0 73 46 19 94 70 46 24 03 I 2 53 22 9. 60 3I o02 74 47 20 95 71 48 25 o4 2 3 55 23 92 62 32 03 75 48' 22 96 72 49 27 06 3 4 56 24 93 63 33 04 76 49 23 98 73 50 28 07 4 5 1757 1825 1894 I964 2034 2105 2I78 2250 2324 2399 2475 2551 2629'2708 5 6 58 26 95 65 35 07 79 52 25 2400 76 53 3i -io 6 7 59 27 96 66 37 o8 8o 53 27 01oI 77 54 32 II 7 8 60 29 98 67 38 o9 8i 54 28 o3 78 55 33 12 8 9 6i 3o 99- 69 39: 10 82 55 29 o4 80 o 57 34 4 9 J 1762 i83I. 1900 1970 2040o 2111 2184 2257 2330o. 2405241 2558 2636 2 o715 11 64 32 01 71 4i 13 85 58 32 06 82 59 37 z6} ii.2 65 33 o02 72 43 14 86 59 33i o8 84 6o 38 18i 12 [3 -66 34 o3 73 44 i5 87 6o 34 o9 85 62 40 191 3 14 67 35 05,74 45i i6 88 6i 35i 0o 86 63.4i 20o 14 i5 1768:837 i9o06 1i976 2046 2i172i90 22632337 241I 2487 2564 2642722i I6 7'19 2263 238 26 48 i6 69 38 07 77 47 I9 9I 64 38 i3 89 66 44 231 i6 17 70 39 08 78 48 20 92 65 39 4 90 67 45 241 I7 i8 72 40 09 79 50 21 93 66 40: o 5 91 68 46 26 18 19 -73 41 io 80 5i 22 94 68 42 i6 92 69 48 27! 19 20 1774 -:842 1 912 i981 2052 2123 2196 2269 2343 2418 2494 2571 2649 2728 202 75 43 93 83 53 25 97 70 4 9 5 72 50 292 2276 45148454 26987145 209673513122 23 77 46 15 85 56 27 99 72 46: 2 98 75 53 32 23 24 78 47 i6 86 57 282200 74 48 23 99 76 54 3324 25 178o i848 1917 i987 2058 2129 2202 2275 2349 2424 2500 2577 2655 2735 25 26 8i 49 i 88 59 3i o3 76 50 25 o01 78 57 3626 27 82 50 20 go90 60 32 04 77 5i 27 03 80 58 37.27 28 83 52 2z1 9gI 6i 33 05 79 53 28 04 8i 59 3928 29 84 53 22 92 63 34 07 80 54 29 05 82 6 40 29 30 1785 i'854 i19231 I993 2064' 2135 208 2281 2355 2430 250o6 2584' 2662 2742 30 31 86 55 24 94 65 37 09 82 56 32 o8 85 63 43 31 32 87 56 25 95 66 38 0o:83 58 33 09 86 65.44.32 33 89 57 27 97 67 39 I1 85 59 34 0o 88 66 4633 34 go 58 28 98 69 40 13 86 60 35 12 89 67 4734 35'79 86o 1929 1999 2070 2141 2214 2287 2361 24372513 2590 2669 2748 35 36 92 6i 30 2000 7: 43 i5 88 63 38 4 9' 70 50o36 37 93 62 31 o0 72 44 i6 90 64 39 15 93 71 51 37 38 94 63 32 02 73 45 17 91 65 40 17 94 73 5238 39_~ 64 34 04 75 46 19 92 66 42 I8 95 74 5439 40 1797 I865 i935 2o0o5 2076 2z47 2220 2293 2368 2443 251i9 2597 2675 2755 4o 41 98 66 36 o06 77 49 21 95 69 44 21 98 76 S564j 42 99 68 37 07 78 50 22 96 70 45 22 99 78 5842 43 18oo 69 38 08 79 Si 24 97 71 47 232601 79 59 43 44 oi 70 39 O10 80 52 25 98 73 48 24 o & so 60o44 45 1 i8o 0 87I 1941 20II 2082 2I53 2226 2299 2374 2449 2526 2603 2682 2762 45 46 03 72 42 12 83 55 27 230O 75 51 27 04 83 6346 47 05 73 43 13 84 56 28 02 76 52 28 o06 84 6447 48 o6 75 44 I4 85 57 30 o03 78 53 30 07 86 6648 49 07 76.45 15 86 58 31 04 79 54 31 o8 87 6749 50:o8o8 1i877 1946 2017 2088 2159 2232 2306 2380 2456 2532 26o10 688 2768 50 51 09 78 48 18 89 61 33 07 8i 57 33 11 90 70j51 52 -1079 49 19 90 62 35 o8;83 58 ~35 12 91 7152 53 xi 80 50 20 91 63 36 09 84 59 36 14 92 7253 54 13 8i 5i 21 92 64 37 II 85 6i 37 15 94 7454 55 i&x4 i883 1952 2022 2094 2165 2238 2312 2386 2462 2538 2616 2695 2775 55 56 15 84 53 24 95 67 39 13 88.63 40 7 96 76 56 57 i6 85 55 25 96 68 4' ]4 89 64 4 198 78 57 58 17 86 56 26 97 69 42 i6 90 66 42 20 99 79 58 59 x8 87 57 27 98 70 43 17 91 67 44 212700 8059 M. 280 290 300 310 3520 330 340 350 360 370 390 400 410:IM. [ TABLE III. [Page065 Meridional Parts. 420 430 440 450 460 470 480 490 500 51~ 520 530 540 55~ M. 9,7892 2863 32946 3o -oi-6 "3o3' -'3292:3382 3474 3569 3665 3764 3865 3968 o I 83 64 47 3I 17 04 93 84 76 70 67 65 66 70' 84 66 49 33 z8 o6 95 85 78 72 68 67 68 71 2 3 86 67 5o 34 2o 07 96 87 79 74 70 69 70 73 3 87 69 5i 36 21 09 98 88 81 75 72 7~ 71 75 4 5 2788'2870 2953 3037 3123 32io 3299 339o 3482 3577 3673 3772 3873 3977 5 6 90 7I 54 38 24 i2 33oi 9] 84 78 75 74 75 78 6 7 91 73 56 40 26 I3 02 93 85 80 77 75 77 80 7 8 92 74 57 41 27 z4 03 94 87 82 78 77 78 82 8 9 94 75 58 43 29 z6 05 96 88 83 80 79 80 84 9 0 2'795 4877 296o 344 313' )2z7 3306 3397 349; 3585 36~ 3780' 882 -3985 Io 11 97 78 6I 46 3i z9 08 99 92' 86 83 82 83 87 1I 12 98 80 63 47 33 2o o9 3400 93 88 85 84 85 89 I2 i3 99 8] 64 48 34 22 II o0 95 9~ 86 85 87 91 13 i4 280T 82 65. 50 36 23 I1 03 96 91 88 87 89 92 14 T-58o -28 84 -2 -83 /37 3225 33r4 3405734 498 3593 3690 3789 3890 3994 z5 27 335z Q6 Q3 85 68 53 39 26 i6 07 99 94 91 go 92 I6 17 o5 86 7o 54 4io 28 i7 o8 1 35oi 96 93 92 94 z7 18 06 88 7I 55 42 29 ]9 1o 03 98 95 94 95 99 i8 19 07 89 -72 57 43 31 2o 11 04 99 96 95 97 4oo, 9 20 28og9 289' i974 3058 3z44 3232 3322 34i3 35o6 36oi 3698 3797 3899 40oo3 2 2oI 1 92 75 60 46 34 23 14 07 o0 99 99 39go 05 2I at z; 93 76 6i 47 35 25 o 437o~ 3809 oo 06 f 23 ]3 95 78 63 49 37 26 17 Io 06 03 o 04 08 23 24 i4 96 79 64 50 38 28 19 12 07 04 04 o6 IO 24 3T5 28 4 2897 298i 3o65 3i52 324o 3329 342 35i4 36o9 3706 3806 3'907 4oi 25 26 I7 99 82 67 53 4 3] 22 15 1o 08 07 09 14 20 27 I8 2900 83 68 55' 42 32 23 17 I2 09 09 II 15 27 28 2o o0 85 70 56 44 34 a5 z8 14 ~ Ix ]3 z7 28 29 2 031 86 7z 57 45 35 27 2o ]5 3 1a 2 4 z9 29 ~82' —9o4 4988 3073 3159 3247 3337 3428 352' 3617 37]4 38i4 39z6 4o To 4i 24 06 89 74 60 48 38 30 23 i8 i6 i6 i8 22 3i 32 25 07 9] 75 62 50 40 31 25 2o I7] 7 7]9 24 32 33 26 08 92 77 63 5i 4] 33.26 22 19 z9 21 26 33 34 28 Io 93 78 65 53 43 34 28 23 2z zI 23 28 334 35 2829 2911 2995 3080 6 ]66 3254 3344 3436 3529 3625 3722 3822 3925 14029 35 36 30 i3 96 8i 68 56 46 37 3i 26 24 24 26 3?i36 37 32 M 98 83 69 57 47 39 32 28 26 26 28 33 37 38 33' 5 99 84 71 59 49 40 34 30 27 27 30 35 38 39 34 17 3oo0 85 72 60 50 42 36 3] 29 29 32 37 39 4o 2836 29i8 3oo2 308 7 3173 3262 3352 3643 3537 3633 373 I383] 3933 4038 40 4i 37 ]9 03 88 75 63 53 45 39 34 32 32 35 4o 4i 39 2z 05 90 76 65 55 47 40 36 34 34 37 4242 43 40 2a 06 9] 78 66 56 48 44 38 36 36 38 444 3 441 4 24 07 93 79 68 58 50 43 39 37 38 40 45[44 45{2843 2925 300o 3094 318.1 3269 3359 345i 3545 3641 3739 3839 3942 4o47 45 46 4L44. 26 Io 95 84 71 6] 53 47 43 4] 4] 44 49 46 47 45 28 1I 97 84 72 62 54 48 44 42 43 45 5] 47 48 47 29 i3 98 85 74 64 56 50 46 44 44 47 52 48 49 48 3i 1 3]00 87 75 65 57 5] 47 46 46 49 54 49 5o a'849'2932 3oi6 3 ~oi 3i88 3377 3367 3459 3553 3649 3747 384 3895i 4056 50 5ir 5i 33 17 03 go 78 68 60 55 5i 49 49 52 52 35 i9 04 9] 80 70 62 56 52 5a i 54 6o 52 53 54 36 26 05 92 8i 71 64 58 54 52 53 56 6i 53 55 37 21 07 94 83 73 65 59 55 54 54 58 63 54 558-856 2939 3023 o8 39" —-5 3284 3374 3467 356z 3657 3755 3856 3959 4o65 55 56 58 40 24 IO 97 86 76 68 62 59 57 58 6i 67 56 57 59 42 26 II 98 87 78 70 64 60 59 6o 63 69 57 58 60 43 27 ]3 34oo 89 79 7] 66 62. 60 6i 64 70 58 59 62 44 29 ]4 ox 90 8i 73 67 64 62 63 66 72 59 420'43o" 440 45~ 460 470 480 490 500 510 520 53M 540 550 M.~~~~~~~~~~t-"5~ 54~55 Page 66] TABLE III. Meridional Parts. M. 560 570 580 590 600 610 620 630 640 650 660 670 680 690 Al. o 4074 4i83 4294 4409 4527 464-9 4775 4905 5039 5179 5324 5474 563'i 5795 0 I 76 84. 96 iz 29 5I 77 07 42 8i 26 77 33 97 I 2 77 86 98 i3 31 53 79 9 o 44 84 28 79 36 58002 3 79 88 43oo z5 33 55 8i I 46 86 3i 82 39 033 4 8i 90 02 17 35 57 84 i4 49 88 33 84 42 06 4 5 4083 4192 430o4 449 4537 4660o 4786 4916 5o5i Si9i 5336 5487 5644 5809 5 6 85 94 o6 21 39 62 88 i8 53 93 38 89 47 II 6 7 86 95 08 23 4i 64 90 20 55 95 4x 92 5o 14 7 8 88 97 09 25 43 66 92.23 58 98 43 95 52 17 8 9 90 99 II 27 45 68 94 25 60 5200 46 97 55 20 9 io 4092 4201 43i3 4429 4547 4670 4796 4927 5062 5203 5348 55oo 5658 5823 io II 9403 15 31 49 72 98 29 65 05 5' 02 60 25 1J I2 95 o5 17 33 51 74 480 3i 67 07 53 o5 63 28 I2 13 97 07 19 34 53 76 03 34 69 Io 56 07 66 31 i3 14 99 o8 2 36 55 78 o5 36 7I I2 58 xo 68 34 i4 5 4i0oi 4210 4323 4438 4557 4680 4807 4938 5074 52,4 536i 553-567i' 5837 5 i6 o3 12 25 40 59 82 o09 40 76 17 63 15 74 3916 17 04'4 27 42 62 84 11 43 78 19 66 i8 76 4217 i8 06 i6 28 44 64 87 i4 45 8i 22 68 20o 79 45i8 19 08 i8 30 46 66 89 i6 47 83 24 71 23 82 489ig 20 4Io 4220 4332 4448 4568 4691 48i8 4949 5085 5226 5373 5526 5685 585I 20 21 12 21 34 50 70 93 2o 5 88 29 76 28 87 54 21 22 x3 23 36 52 72 95 22 54 9go 3i 78'31 9go 56 22 23 15 25 38 54 74 97 24 56 92 34 80 33 93 59 23 24 17 27 40 56 76 99 26 58 95 36 83 36 95 62 24 25 419 4229 431/42 4458 4578 4701 4829 4960 5097 523853855539 5698 5865 25 26 21 31 44 60 80 o3 31 63 99 41 88 41 5701 68 26 27 22 32 46 62 82 o5 33 655102 43 go 44 04 71 27 28 24 34 47 64 84 07 35 67 o4 46 93 46 06 74 28 29 26 36 49 66 86 0o 37 69 06 48 95 49 09 7629 30 4128 4238 435i 4468 4588 4712 4839 4972io8 5250 5398 5552 5712 5879 30 3i 30 40 53 70 90 14 42 7411 53 54oi. 54 5 82 31 32 32 42 55 72 92 i6 44 76 13 55 o3 57 17 8532 33 33 44 57 74 94 i8 46 78 iS 58 o6 59 20 8833 34 35 46 59 76 96 20 48 88 i8 60 08 62 23 g9i 34 35 4i37 4247 436i 4478 4598 4722 485o 4983 5120 5263 541' 5565 5725 5894 35 36 39 49 63 80o4600 24 52 85 22 65 i3 67 28 96 36 37 41 5i 65 82 o02 26 55 87 25 67 i6 70 31 99 37 38 42 53 67 84 04 28 57 9 27 70 8 7334590238 39 44 55 69 86 o6 31 59 92 29 72 21 75 36 0539 40o 446 4257 437 4488 460o8 4733 486i 4994 5132 5275 5423 5578 5739 5908 4o 4i 48 59 72 90 1o 35'63 96 34 77 26 80 42 I, 41 42 So 6o 74 92 12 37 65 99 36 80 28 83 45 14 42 43 52 62 76 94 14 39 68 5ooi 39 82 31 86 47 17 43 44 53 64 78 95 i6 41 70 03 41 84 33 88 50 1944 45 4155 4266 4380 4497 46i8 4743 4872 5oo5 5i43 5287 5436 5591 5753 5922 45 46 57 68 82 99 20 45 74 08 46 89 38 94 56 25 46 47 59 70 8445oi 23 47 76 Io 48 92 41 96 58 28 47 48 6i 72 86.o3 25 50 7912 51 94 43 99 6i 3148 49 62 74 88 05 27 52 8i.4 53 97 465602 64 3449 So 4i64 4275 439o 4507 4629 4754 4883 50o7 5155 5299 5448 5604 5767 5937 5o 5i 66 77 92 09 31 56 85 19 58 53oi 5 07 70 4o 5i 52 68 79 94 II 33 58 87 21 60 04 54 10 72 43 52 53 70. 8 9613 35 60 90 23 62 06 56 12 75 46:53 54 72 83 98 15 37 62 92 26 65 09 59 15 78 4854 55 4173 4285 4399 4517 4639 4764 4894 5028 Si67 53ii 546i 56i7 S78i S9Si 55 56 75 87 4401 g 41 66 96 30 69 14 64 20 83 54 56 57 77 89 03 21 43 69 98 33 72 i6 66 23 86 57 57 58 79 91 05 23 45 714901 35 74 9 69 2S 89 6o58 59 8i 92 07 25 47 73 03 37 76 21 71 28 92 63 59 560 1570 580 590 600 611 62" 30 64" 650 660 67"6 68" 69 M. rrABLE 11l. f~age 67 Meridional Parts. M.700/ 710 7 720 730 740 750. 7Y60 770, 780 790 8300 810 850830 m. 05966 6i46 j6335 653416746 6970 7210 74 67 7745 8o46 8375 873 i5 96o-o 69 49 38 38 49 74 14 72 49 5' 81 53 141?J72 52 41 41- 53 78 8 76 541 56 87 52 6o 22 55 45 45J 75J 55l 45 5557 82 22 8I 59 6, 93 58 67[1, 3i 4 78 58 48 48 6o 86 27 85 64 67 98 65 74 39( L 5 598i 6i6i 635i 655 2 67?64 6990 723i 7~490 7769 8072 84o418771 gi82 9647 5 6 84 64 54 55i 68 94, 35 94 7~4 77 10 78 8 5 7 86 67 58 58 71 97 39 98 78 83 i6 84 96 64756 89 70 6i 62 5 70' 41 3 83. 88 22 91 92o3 2 45~~~~~01 43451 2 9 92 73 64 65 79 o5 47 07 88 93 27 97 II 8o9'o 5995 —I77 6367 6569 68 7009 7252 75i2 7793 8o"- 8433 8804 9218 9689iic I'l 98 8o 71, 72 86 i3 56 i6 8s 8'o4 3% io 25 97"11 i2 6ool 83 74.76 go I7 60 2I 78o3 09 4 1 7 33 97o6 12 O o4 86 77 73 93 21 64 25 88 i5 5i 23 4 55i4 i3 i4 07 89 8of 8 97 25 68 3o i3 20 57 ~30 48 23 i4i 15 6oio0 6i92 6384 6586 6,8o 17029 7273 15 7817 8I25 8463 8836 9255 973rl i5 I 6 i3 95 8~ 7 90 o4 33 77 39 22 3i 6 43 62 4o i6 7 i6 98 go 9708 37 81 44 27 36 74 49 70 48917 j8 rg 62oi 94 97 12 41 85 48 32 47 8o 56 77 570i8 J9 22 o5 97 6600 85 45 89 53 37 47 86 63 859 654ig 2 0 60~2 5 62o8 164oo 66o63 \68ig 7o48 7294 7557 7842 8152 8492 8869 9292'9774 20 2I 28 11 o3 07 23 52 98 62 47 58 98 79 g3oo 83 21 22 3 I 14 07 10 26 56 7362 66 52 63 8504 83 07 91 22 23 34 I7 10 i4 3o~/ 6o o6 71 57 68 jo 89 i 5 g8oo 23 43i 75o30 i 78 24~ ~ ~ 6[ IJ 88J Io. 1 9-3! 4 I 7 6 2 9`2L 25)04)62364Ij62I 688 068735 581767.J7 82193][ 3)98~2 26 43 26 20 24 41 72 o. 85 72 8? 28 o 37 26 26 27 46 30 23 28 45 76 22 89 77 go 34 ig 45 35 27 28 49 33 27 3i 49 80 28 94 82 96 4o 23 53 44 28 29 52 36 3o 35 53 84 32 99 87 8201 46 3 ] o 52 29 3o 6o55 6239 6433 6639 6856 7o88 7336 76o3 17892 8 207 ~55 8936 9368 986i 3o oo 58 42 37 42 6o 92 41 08 97 I2 58 43 76 7o 3i 32 6i 45 4o 46 64 96 45 12 7902 i8 65 5o 83 79 32 33 64 49 43 49 68 7100 43 I7 07 23 7o 57 91 88 33 34 67 52 47 53 71 o4 5 22 12 29 77 63 99 97 34 M5 607o 6255 645o 6656 6875 7io8 7358 7626 7917 8234 8583 8970l 940 g:o6 35!,1 o'7 1 718 73o9 ~93J~~~~~~~~~~~~1 30 4o 6o85 -646 66 89750 79 2' 862 86i- oo 945 95 4 142 91 77/. 7o 3 3 671 39 88:59 I53 ]73 269,8 Ol 42'i3 94 80 7J 9~lo 3 8 9 5 7 6 I 6 9 9 o 80 5 o8 1 6 32 25 69 74 743 87 9 6oo 92 4 J 79 4A 9, 83 80 88 og 45 97 68 63 84 38 32 77 87 I 45 ioo627 6836692 69I3 7I49 7401 7673 7968 8290 8644 go3 94,85 9996 45;6.3 go 87 95 17 53 _6 78 73 95 58 6_ 93 6'!15 49 47 - 6 93 9i 99 20 57 -1 83 78 83oi 57 53%g/j' 9 ooi5- 47 4 — ol6-710 ~ " i!~ ][i o3J ~3l 5~.72 4 1 98 614 4'71 58 1 7 63 6 981 Iz193~l 8l o13 65oo 6932 _j4 2 3 7994 83i8 8676 9074 9 5:;'O ~ ~ ~6 6135. 6ij61 525 638ool I 5o791 5i i8 o6- o4 i3 36 73 27 7702 9J 24 82 81 33J 8oo5)131 52 2I 0 07 17 77 32 o6 842 88 88 49 ioo6i 52 4,7 j- ~Ti-J-800 53 24 i2 11 2 43 8 36 I o 5 95 96 49 10071 53 54 27 65 14 24 47 85 4! 6 85 41 8701 gIo3 57 5oo8o654 45 6/3o 63i 657 6728, 6951 7689 21 8020 7lo34718707 uo 956/5 35l~755 56 33 2 2 2I 3i 55 94 49 23 25 52 14 17 73 icogg 56 57 361 25 24 35 59 98 54 3o 3o 58 2o 24 81 10108 57 58 4o!,8 28 38 63 7202 58 35 35 64 26 3/ 4oii858 59 4 32 3 42 6 o6 63 4o 40 69 33 _38 _9io'27 59 59 _431 32 3I 42 66 760 5187 790 800 810 820 M. ~4~170 09710 7270 I 2731 4 Page 86] TABLE X. For finding the Distance of Terrestrial Objects at Sea, in Statute Miles. Height Distance. Height Distance. Height Distance. Height Distance. Height Distance. Height Distance. Height Distance. in feet. Mil. Dec. in feet. Mil. Dec. in feet. Mil. Dec. in feet. Mil. Dec. in feet. Milec feet. ec. infeel. Mil. Dec. I I.32 26 6.7 55 9.8I 210 19. I7 46o 28.37 920 4o.3 31IOO 73.7 2 r.87 27 6.87 60 Io.25 220o 19.62 470 28.68 940 40.56 3200 74.8 3 2.9 28 7.00 65 10.67 230 20o. o6 48 28.98 960 4o0.99 3300 76.0 4 2.65 - 29 7.12 70 11.07 240 20o.50 490 29.29 980 4I.42 340 77.I 5 2.96 30 7.25 75 ii.46 250 20o.92 500 29.58 ooo 4I.80 3500 78.3 6 3.24 3I 7.37 8o iI.83 260 21.33 520 30.I7 I0oo 43.90 3600 79.4 7 3.50 32 7.8 85 I2,20 270 21.74 540 30.74 2oo 100 45.80 3700 8o.5 8 3.74 33 7.60 90 I2.55 280 22.I4 56o 31.3I i3oo 47.70 3800 8i.6 9 3.97 34 7.71 95 I2.89 290. 22.53 58o 3i.86 i4oo 49.50 3900 82.6 o10 4.8 35 7.83 Ioo I3.23 300 22.9I 600 32.41 I500oo 5.20 4~o 83.7 1 4.39 36 7.94 to5 I3.56 3Io 23.29 620 32.94 i6oo 52.90 4ioo 84.7 12 4.58 37 8.05 I o i3.88 320 23.67 640 33.47 I700 54.50 4200 85.7 13 4.77 38 8.i6 I 5 I4.19 330 24.03 660 33.99 18oo 56.10 4300 86.8 I4 4.95 39 8.26 I 20o 4.49 34o 24.39 680 34. 190oo0 57. 70 44oo 87.8 15 5.12 4o 8.37 I 25 I4.79 35o 24.75 700 35.oo00 2000 59.2o 45oo00 88.7 I6 5.29 4I 8.47 I3o i5.o8 36o 25.10 720 35.5o 2o00 6o.60 4600 89.7 17 5.45 42 8.57 i35 15.37 370 25.45 740 35.99 2200 62.,0 4700 90.7 I8 5.6i 43 8.68 I4o I5.65 38o 25.79 760 36.47 2300 63.4o 48oo 91.7 19 5.77 44 8.78 I45 15.93 390 26.13 780 36.95 2400 64.8o 49v 92.6 20 5.92 45 8.87 I 50o 6.20 400 26.46 800 37.42 2500 66.10 5000 93.5 21 6.o6 46 8.97 i6o 16.73 4o 26.79 820 37.88 2600 67.50 mile 96. 22 6.21 47 9.07 170 17.25 420 27.II 840 38.34 2700 68.70 23 6.34 48 9.7 I8o0 I7.75 430 27.43 86o 38.8o 2800 70.00 24 6.48 49 9.26 190 I8.24 44o 27.75 880 39.25 2900 71.20 25 6.6i 50 9.35 200 188.7I 450 28.0o6 goo 39.69 3ooo 72.50 TABLE X. A. Parallax in Altitude of a Planet. Horizontal Parallax of a Planet. Alt. If It 1 It 11 It lt i 11 / "/ 11 11 It fII /II / II i/ II f I It I I Alt. D. Il2 3 4 5 6 7 8 9 10 11121314415 16 17 18119/20 21b22123124125126127:28S301351 D. ol I 2 3 314 5 6 7 8 910|I 2131415161I718 I19202I12223|24 25261271283035 o 10 1,2 3 4 5 6 7 8 19 Io II0I2|I3|14151 I617181I 20 21h22/23 24l25 26127l2813013510 I 201 2 3 4 5 6 7 88 9 10 I1121I31I41I51I61I718 19 20 2122 23 23 24125126128133120 30o IJ 2 3 3 4 5 6 7 8 9101o11121I3 I41I5II161i617 I81I9I20 2122 23 23 24 26 30 30 35 I 2 2 3 4 5 6 7 7 8 10 11OIII2I3 4S i6 i6 I71 I8 19201202I2223252935 4o I1 2 2 3 4! 5151 6 17 8 8 91TO111 I12|I31411o515 I61I7181819202I12 I|2123127140 43 1 I 2.3 4 4 5 6 7 7 8 9IOI II121I2131I415 15|I6|i171i81i8I9 20 20 22 26 43 46 I I 2 3 3 4 5 6 6 7 8 8 9IOIO II1213 31I34 I5 I5161|I77 Ii I|I9Ig2I124,46 49 1 I 2 3 3 4 5 5 6 7 7 8 9 991 IOIOIII2 1212 13 M4I4|I55II6i6 17I si820 23 49 52 I |2 2 3 4 4 5 6 6 7 7 8 91 910|101II1I2|13|1I|I4I5|IIssls lI71I71I8122|52 55 I I 2 2 3 314 5 5 6 6 7 7 97 Io90o IIIII23II4I4 i5 6i172055 58 I z2 2 3 3 4 4 5 5 6 61 7 81 41 910IOI 11I1 I 2III 313 I4I141I5I6I19I58 61 1 112 2 3 3 4145 5 616717 8o 8i 9 910.1O III121I2 1/5176I I 2 2 3 3 4 14 5 6 6 7 7 78 91 IIII I1223564 67 0 I I 2 2 2 3 314 4 44 5 5 5 6 6 7 7 7 9 9 lIO 1011111121i4 67 70 I I1 2 2 2 3 1 3 3 4 41 1 51 5 51 61 61 6 7 71 9 1 70 7-2 0 I oI 2 2 2 23 3 3 4141 1 5 5 51 6 6 61 6 7 7 7 8 72 74 o01 I I 2 2 2 3 1 31 41 41 4 4 5 5 5 6 6 6 6 7 7 7 77 81074 76 o 01o I I 1 2 2 3 31 31 31 4 5 5 5 5 61 66 6 7 7 8176 78 o 001o I I I I 2 2 21 21 3 3 3 4 4 4 4 5 5 5 5 5 5 66 778 |80 o o I I I I I I122 2122 2 22 3 3 3 33 3 3 41 414 41414 5 5 51 51 6180 82 o o I I I I I I 2 2 2 2 21 2 3 3 3 3 31 3 3 31 41 41 41 5182 840o o I I I I IO I I I 21 2 2 2 2 2 2 22 31 331 31 31 4184 86 o~oo o o o I I.1 I I I I I I 21 2 21 21 2 2 2 21 286 88 0 0 0 0 0 O 0 0 0 1 01 01 01 0 1//1 I I I I I I I II I I i 88 9 0. o0 O0 0 0 0 0 ol0 0 0 o0o 0o 00l 0 0 o0 o0 0 0 0 0 0190 Page 88] TABLES XII, XIII, XIV, XV, AND XVI. TABLE Xll. TABLE XIII. TABLE XIV. The Refraction of the Heavenly Bodies Depression or Dip of the The Sun's Parallax in. in Altitude. Horizon of the Sea. Altitude. App. Ref App. Ref. App. Ref. Height of Dip of the SSn'sAlt. un's Alt. A. lt. Alt. the Eye. Horizon Sun's Alt. Parallax. D. M. M. S. D. M. M. S. D. M. S. Feet. M. S. D. S. o. o 33. o 6.30 7.52 30 i.38 o.59 o o. 5 32.11 6.40 7.41 3I i.35 2 1.24 Io o0. I 31.22 6.50 7.3I. 32 I.3I 3 1.42 20 8 o.i5 30.36 7. o 7.21 33 1.28 4 i.58 30 8 0.20 29.50 7.10 7.I2 34 I.24 5 2.12 40 7 0.25 29. 6 7.20 7. 3 35 I.2I 6 2.25 50 6 o.30 28.23 7.30 6.54 36 i.i8 7 2.36 55 5 0.35 27.4I 7.40 6.46 37 I.6 8 2.47 60 4 0.40 27. o 7.50 6.38 38 I.13 9 2.57 65 4 0.45 26.20 8. o 6.30 39 I.Io I0 3. 7 7Q 3 o.50 25.42 8.o10 6.22 40 I. 8 Ix I 3.i6 75 2 0.55 25. 5 8.20 6.I5 4I I. 5 12 3.25 80 2 I. 0 24.29 8.30 6. 8 42 I. 3 I3 3.33 85 I I. 5 23.54 8.40 6. I 43 I. I M4 3.4I 90 o 1.I0 23.20 8.50 5.55 44 o.59 I5 3.49 I.15 22.47 9. o 5.49 45 o0.57 16 3.5 TABLE XV. I.20 22.15 9.io 5.43 46 o.55 3 Augmentation of the 1,.25 22I.44 9.20 5.a37 47 o.53 I8 4. 3 Moon's Semi-diameter. 1.25 2I'4-4 9,! 2 5.37 47 0.53 i8 4.Ix.... i.30 2I.I5 9.30 5.3I 48 o.5I 9 4.17 Moon's Alt. Augment. 1.35 20.46 9.40 5.26 49 o.5o 20 4.24 D..40 20. I8 9.50 5.20 50 o.48 21 4.3I o o I.45 I9.5I Io. o 5.I5 5I 0.46 22 4.37 5 I i.50 I9.25 Io.i5 5. 8 52 o0.45 23 4.43 Io 3 I.55 I8.59 Io.3o 5. 53 o.43 24 4.49 I5 4 2. 0 8.35 0o.45 4.54 54 o.4I 26 5. 20 5 2 5 i8.ii II. o 4 47 55 o.40 28 5.13 25 7 2.10 17.48 iI.I5 4.41 56 o.38 30 5.23 30 8 *2.I5 I7.26 II.30 4.35 57 0.37 35 5.49 35 9 2.20 I7. 4 "I.45 4.29 58 o.36 40 6.I4 4 2.25 I6.44 I2. o 4.23 59 o.34 45 6.36 I0 45 II 2.30 x6.23 12.20 4.i6 60 o.33 50 6.58 50 12 2.35 I6. 4 I2.40 4. 9 6I 0.32 60 7.37 55 I3 2.40 x5.45 3. 0o 4. 3 62 0.30 70 8.I4 60 I4 2.45 I5.27 I3.20 3.57 63 0.29 80 8.48 70 I5 2.50 r5. 9 I3.4o 3.5I 64 0.28 90 9.20 80 i5 2.55 24.52 I4. o 3.46 65 0.27 oo 9.5 90 x6 3. 0 I4.35 14.2o 3.40 66 o.25 - 3. 5 I4.I9 I4.4o 3.35 67 o.24 TABLE XVI. 3.i I4. 3 15. o 3.30 68 0.23 Dip of the Sea at different Distances from the 3.I5 i3.48 15.30 3.23 69 o.22 Observer. 3.25 I3.339 6. o 3.I7 71 0.2i0 o Height of the Eye above the Sea in Feet. 3.25 i3.i I6.3o 3.II 7I o.ao........ 3.30 I3. 17. o 3. 5 72 o.19.J 5 10 15 20 2 30 35 40 3.4o 2a.39 17.30 2.59 73 0.7 Dip. Dip. Dip. Dip. Dip. Dipp. Dip. Dip. 3.50 12.14 i8. 0 2.54 74 o.i6 4. o x.5o I8.30.49 75 oI5: M. M. M. M. M. M. M. M. 4.io 11.28 29. 0 2.44 76 o0.4 I fI 23 34 45 57 68 79 91 4.20 II. 7 I9.30 2.40 77 o.x3 6 6 12.7 23 28 34 40 45 4.30 10.47 20.0 2.36 78 0.12 J 4 8 22 i5 19 23 27 30 4.40 10.28 20.30 2.32 79 0.1I 3 6 9 2 I5 17 20 23 4.50 0.0I 2-1. 0 2.28 80 0. IO I4 3 5 7 IO I2 14 6 19 5. o 9.53 21.30 2.24 8i 0. 9 I. 3 4 6 8 IO 12 I4 I6 5.IO 9.37 22.0 2.20 82 o.8 2 2 4 5 7 8 9 II 12 5.20 9.21 23.0 2.14 83 0 7. 7 2. 2:_ 3 4 6 7 8 9 IO.o.30 24.0 8 o. 3 7 5.40 8 53 25. 2. 2 85 o.5 3 2 6 7 8 9 5.50 8.39. 26.o.56 86 o. 4 2 3 4 6 6 7 8 6.o, 8.27 27.0 1.51 87 o.3 4 2 4 5 6 7 7 6.io 8.i5 28. o 1.47 88 o. 2 2 3 4 6 6 7 6.2o 8. 3 29. o0 I.43 89. I 6 2 1 3 4 4 | 5 6. 6 NOTE TO TABLE XVI.-The numbers of this Table below the black lines, are the same as are given in Table XIII, the visible horizon, corresponding to those heights, not being so far distant as the land. TABLE XXI. fPage 131 For turning Degrees and Minutes into Time, and the contrary. D. H.M. D. H.M. D. I H.M. D. H. M. D H. M, D. H. M. M. M. S. M. M. M.S. M. M.S. M. M. S. M. M. S. M. M. S. I o. 4 6I 4. 4 121 8. 4 181 12. 4 24I 16. 4 30i a-c. 4 2 o. 8 62 4. 8 I22 8.'8 182 i2. 8 242 I6. 8 302 2C. 8 3, o.12 63 4.12 123 8.12 183 12.12 243 I6. Ia 303 20. 12 4 o. 6 64 4. 6 124 8. 6 I84 2. I6 244 I6. I6 304 20. I6 5 0.20 65 4. 20 125 8.20 I85 12.20 245 16.20o 305 20.20 6 0.24 66 4.24 I26 8.24 I86 12.24 246 I6.24 3o6 20.24 7 0.28 67 4.28 127 8.28 187 12.28 247 16.28 307 20.28 8 0.32 68 4.32 128 8.32 I88 I2.32 248 16.32 308 20.32 9 c.36 69 4.36 I129 8.36 189 1 2.36 249 I6.36 309 20.36 Io 0.40 70 4.4o i3o 8.40 190 I2.40 250 I6.40 3Io 20.40 1' o.44 71 4.44 I3I 8.44 191 I2.44 251 I6.44 3II 20.44 I2 o.48 72 4.48 I32 8.48 192 I2.48 252 I6.48 312 20.48 13 o.52 73 4.52 133 8.52 I93 I2.52 253 I6.52 313 20.52 i4 o.56 74 4.56 I34 8.56 I94 12.56 254 i6.56 314 20.56 I5 1. 0 75 5. o 135 9.0 1o 95 13. o 255 17 0 3I5 2I. 0 I6 I. 4 76 5. 4 i36 9. 4 I96 i3. 4 256 17. 4 3i6 2I. 4 17 I. 8 77 5. 8 137 9 8 197 13. 8 257 17. 8 317 21. 8 18 1.12 78 5.12 i38 9.12 I98 13.I2 258 17.12 3i8 21.12 I9 i.I6 79 5.i6 139 9.16 I99 i3.I6 259 17.16 319 21.16 20 1.20 80 5.20 I40 9.20 200 13.20 26 1I7.20 320 21.20 21I.24- 8i 5.24 14i 9.24 20oI 3.24 26i I7.24 32I 21.24 22 1.28 82 5.28 142 9.28 202 i3.28 262 17.28 322 21.28 23 I.32 83 5.32 I43 9.32 203 13.32 263 I7.32 323 21.32 24 1.36 84 5.36 144 9.36 20o4 3.36 264 I7.36 324 21.36 25 1.4o 85 5.40 i45 9.40 205 i3.40 265 I7.4o 325 2I.4o 26 I.44 86 5.44 i46 9.44 206 i3.44 266 I 7.44 326 21.44 27 I.48 87 5.48 147 9.48 207 I3.48 267 I7.48 327 21.48 28 1.52 88 5.52 i48 9.52 208 I3.52 268 I7.52 328 2I.52 29 i.56 89 5.56 149 9.56 209 i3.56 269 17.56 329 21.56 30 2. 0 9 6. o 5o Io. o 2o i4. 0 270 I8. o 330 22. 0 31 2. 4 9i 6. 4 1511 0. 4 211 i4. 4 271 i8. 4 33i 22. 4 32 2. 8 92 6. 8 152 io. 8 212 I4. 8 272 i8. 8 332 22. 8 33 2.12 93 6.12 I53 10.12 2I3 I4.I2 273 18.12 333 22.12 34 2.16 94 6.i6 I54 io.i6 214 14. 6 274 i8.i6 334 22.16 35 2.20 95 6.20 i55 I0.20 215 I4.20 275 18.20 335 22.20 36 2.24 96 6.24 i56 I0.24 2I6 14.24 276 18.24 336 22.24 37 2.28 97 6.28 I57 I0.28 217 I4.28 277 18.28 337 22.28 38 2.32 98 6.32 I58 I0.32 2I8 14.32 278 I8.32 338 22.32 39 2.36 99 6.36 I59 Io.36 2I9 14.36 279 i8.36 339 22.36 40 2.40 00oo 6.40 6o0 10.40 220 14.40 280 t8.4o 340 22..40 41 2.44 10I 6.44 I6I Io.44 22I 14.44 28I i8.44 341 22.44 42 2.48 I02 6.48 I62 io.48 222,4.48 282 i8.48 342 22.48 43 2.52 o03 6.52 i63 I0.52 223 I4.52 283 I8.52 343 22.52 44 2.56 I04 6.56 I64 10.56 224 I4.56 284 i8.56 344 22.56 45 3. 0 105 7. 0 I65- II. 0 225 I5. o 285 I9. 0 345 23. 0 46 3. 4 106 7. 4 i66 11. 4 226 I5. 4 286 I9. 4 346 23. 4 47 3. 8 107 7. 8 I67 II. 8 227 I5. 8 287 19. 8 347 23. 8 48 3.I2:08 7.12 i68 11.12 228 I5.I2 288 19.I2 348 23.Ia 49 3.i6 109 7.I6 i69 ii.I6 229 I5.i6 289 9. I6 349 23.16 _o 3.20 110 7.20 1 70 II1.20 230 i5.20 290 9.20 25o 23.2ao 5i 3.24 III 7.24 171 II.24 231 I5.24 291 19.24 35I 23.24 52 3.28 112 7.28 172 I1.28 232 I5.28 292 I9.28 352 23.28 53 3.32 113 7.32 173 1I.32 233 15.32 293 19.32 353 23.32 54 3.36 114 7.36 174 II.36 234 I5.36 294 19.36 354 23.36 55 3.40 115 7.40 175 II.40 235 I5.40 295 19.40 355 23.40 56 3.44 II6 7.44 176 ii.44 236 I5.44 296 I9.44 356 23.44 57 3.48 117 7.48 177 ii.48 237 I5.48 297 I9.48 357 23.48 58 3.52 II8 7.52 178 II.52 238 I5.52 298 19.52 358 23.52 59 3.56 I19 7.56 179 ii.56 239 i5.56 299 19.56 359 23.56 60 4. o I 20 8. o 8o 12. 0 240 6. 0o 3o00 20. o 360 24. 0 1Page 132] TABLE XXl. - -k A -A Proportional Logarithms. h m h r h m A m h m h m A m A m h m 0,o ~y 11o0~' 0~, 3 0o 4o 0o 5' 0 6 0 7o 0o _ ~ ~~~ ~ ~~~~~~~~~~~o _: _,_. 0 2.2553 1.9542 17782 I.6532.5563 -.477 I.402 1.3522 0 I 4.o334 248I 9506 7757' 65i4 5549 4759 409I 35I3 2 3.7324 24IO 9/71 7734 6496 5534 4747 4o8i 35o4 2 3 5563 234I 9435 7710o 6478 55o20 4735 407 I 3495 3 4 43i4 2272 9400 7686 646o 55o6 4723 4o6I 3486 4 5 3.3345 2. 2205 I.9365 6463 43 i.549 -4I -. I47 i. 4050oIo. 3'477 5 6 2553 2 I39 933 I 7639 6425 5477 4699 4o4o 3468 6 7 i883 2073 9296 76I6 6407 5463 4688 4o3o 3459 7 8 i303 2009 9262 7593 6390 5449 4676 4020 345o 8 9 0792 I946 9228 7570 6372 5435 4664 4oIo 344I 9 io 3.o334 2.i883 I.9I95 1.7547 i.6355 1.542I I.4652 I.4ooo I.3432 io II 2.9920 I822 9I62 7524 6338 5407 464o 3989 3423 ii 12 9542 176I 9I28 750oI 6320 5393 4629 3979 3415 2 i 3 9195 I701I 9096 7479 63o3 5379 4617 3969 34o6 3 i4 8873 I642 9o63 7456 6286 5365 46o6 3959 3397 4 i5 2.8573 2.1584 1.903I 1-. 7434 I.6269 I.5351 I'.4594 I. 3949 i.3388 i i6 8293 I526 8999 7412 6252 5337 4582 3939 3379 i6 17 8o3o I469 8967 7390 6235 5324 4571I 3929 3371 I I8 7782 i4i3 8935 7368 62I8 53 io 4559 3919 3362 i8 19 7547 i358 8904 7346 620o1 5296 4548 39I0 3353 i 20 2.7324 2.i30o3 1.8873 I.7324 I.6I85 1.5283 i.4536 I-.3900 i.3345 20 2I 7112 1249 8842 7302 6i68 5269 4525 389o 3336 2 22 69I0 1196 88ii 728I 6i5I 5256 4514 388o 3327 22 23 67I7 ii43 878I 7259 6i35 5242 4502 3870 33I9 23 24 6532 109I 875I 7238 6ii8 5229 449' 386o 33IO 24 653_0. _-9 __51 25- 2.6355 2.1040 I.872I I.72I7 1.6I02 I.52I I.448o i.385i i.33olI 25 26 6I 85 o989 869I 7196 6o85 5202 4468 384i 3293 26 27 602I o939 866i 7175 6069 5189 4457 383I 324 278 28 5863 o889 8632 7I54 6053 5I75 4446 3821 3276 28 29 57I10 o84o 8602 7133 6037 5I62 4435 3812 3267 29 3o 2.5563 2.0792 1.8573 1.71II2 I1.6021. 5149 I.4424 1.3802 i.3259 3o 3I 542-I o744 8544 7091 6oo5 5i36 4412 3792 325 31 32 5283 o696 85i6 7071 5989 5I23 44oi 3783 3242 32 33 5I 49 o649 8487 7050 5973 5Iio 4390 3773 3233 33 34 509I o6o3 8459 7030 5957 5o97 4379 3764_ 3225 34 35 2.4894 2.o557 I.843 I.700I.594II.5o084 I.4368 I —.3754 1.32 I6 35 3,! 477I o5I2 84o3 6990 5925 507 4357 3745 3208 36 37 4652 o467 8375 6970 5909 5o58 4346 v735 319igg 37 38 4536 0422 8348 6950 5894 5o45 4335 3726 3I91 38 39 4424 o378 8320 6930 5878 5032 4325. 37I6 3i83 39 4o 2.43I4 2.o334 I.8293 I.69I0 I.5863 1.5019 I i.43I4 I.3707 i.3I74 4o 4 I 4206 o0291 8266 6890 5847 5aO7 43o3 3697 3i66 4( 42 4I02 0248 8239 687I 5832 4994 4292 3688 358 42 43 4ooo o206 82I2 685i 58i6 498I 4281i 3678 349 43 44 39oo oi64 8i86 6832 58oi. 4969 4270 3669 3i4i 44 45 2.3802 2.OI22 1.8159 I.6812 I.5786 I.4956 1.4260 i.366ol i.333 4 46 37o7 oo8I 8i33 6793 577 I 4943 4249 365o 3I24 46 47 36i3 oo4o 8107 6774 5755 493I 4238 364I 3I 4 48 3522 0000 8o8I 6755 574o0 4918 4228 3632 3io8 48 49 3432 1.9960 8o55 6736 5725 4906 42I7 3623 3ioo 49 50o 2.3345 I.9920 I.8o3o.6717 I.5710 I.4894 1.4206 I. 36I3 I 3091 o 5i 3259 988I 8004 6698 5695 48 I 4, I96 3604 3o83 i S2 3I74 9842 799 6679 568o 4869 4i85 359S 3075 52 53 3091 9803 7954 666k. 5666 4856 4175 3586 3067 53 54 3oio 9765 7929 6642- 565i 4844 4i64 3576 3oS9 54 SS 2 2931 1.9727 1.7904 i.6624 i.5636 i.4832 i.4i54 1.3S67 i3o~i SS S6 2852 9690 7879 66o5 S621 4820o 4i4 3558 3o43 56 S7 -2775 9652 78SS 6S87 S607 48o8 4i33 3549 3034 57 S8 2700 9615 7830 6568 5592 4795 4122 354o 3026 S8 59 2626 9579 7806 655o 5578 4783 4112.353i 3oi8 S9 7S7 00 oiI 0o 1' 00 21' 00 4f 00-~ 5/ 00 6' 00 7' 10o1JSS TABLE XXII. [Page 133 Proportional Logarithms. A m h m h n h m h m h n h m h P h m oS. o0 9 00 0 0011 0012/ 0o13' 0014/ 00151 0016 017 S. 0 i.3oio0 1.2553 1.2139 I. I76I i.i4i3 1.1 091 1.0792 1.0512 1.0248 Y 3002 2545 2132 1755 i4o8 Io86 0787 0507 0244 I 2 2994 2538 2126 I749 1402 Io8I 0782 0502 0240 2 3 2986 2531 2119 1743 I397 I076 0777 0498 0235 3 j4 2978 2524 2113 1737 1391 1071 0773 0493 0231 4 5 1.2970 1.2517 1.2106 1.173i 1.1386 i.I66 1.o0768 I.o489 1.0227 5 6 2962 2510 2099 1725 I38o 106I 0763 o484 0223 6 7 2954 2502 2093 1719 I374 io55 0758 o480 0219 7 8 2946 2495 2086 r7I3 1369 Io5o o753 0475 o024 8 9 2939 2488 2080 1707 I63 Io45 o49 0471 02IO 9 1O 1.293I 1.2481-. 1.2073 1.170I I.358.1040 o.o0744.0o467 1.o2o6 io II 2923 2474 2067 1695 1352 io35 0739 o0462 0202 11 12 2915 2467 2061 1689 1347 o030 0734 o458 0197 12 13 2907 2460 2054 I683 1342 1I25 0730 o453 oI93 13 14 2899 2453 2048 1677 1336 1020 0725 o0449 oI89 14 15 1.289I1 1.2445 1.2041 I.1671 r.i33i i.ioi5 1.0720 i.o444 i.oi85 i' i6 2883 2438 2035 i665 1325 1009 0715 o440 oi8i i6 I7 2876 2431 2028 i66o 1320 I004 o711 o435 0176 17 i8 2868 2424 2022 i654 i3i4 0999 o706 o43I 0172 i8 19 2860 247 201o6 I648 1309 0994 070I 0426 OI68 19 20 1.2852 1.24IO I. 2009.1642 i.i303 1.0o989 1.0696.0o422 I.0o64 20 21 2845 2403 2003 I636 1298 0984 0692 o418 o16o 21 22 2837 2396 x996 i63o 1292 0979 0687 o4i3 oi56 22 23 2829 2389 I990 I624 z287 0974 o682 o409 oi5i 23 24 2821 2382 1984 I619 1282 0969 0678 o404 0147 24 25 1.2814 I.2375 1.1977 i.I6I3 1.1276 1.0964 1.o673 1.o4oo00 T.o43 25 26 2806 2368 I971 I607 1271 0959 o668 0395 oi39 26 27 2798 2362 I965 I6oI I266 0954 o663 0391 o135 27 28 2791 2355 1958 I595 I260 0949 0659 0387 oI3i 28 29 2783 2348 1952 1589 1255 0944 o654 0382 0126 29 30 [.2775 1.234I 1.1946 x.I584 1.1249 I.o939 1.o649 I.o378 1.0122 30 31 2768 2334 I939 1578 I244 0934 o645 0374 oII8 3I 32 2760 2327 I933 1572 1239 0929 o640 o369 o I4 32 33 2753 2320 1927 I566 1233 0924 o635 o365 oi0o 33 34 2745 2313 1921 156i 1228 0919 063i o360 OIo6 34 35 1.2738. 2307 1.I194 i.i555 1.1223 1.0914 1.0626 i.o356 1.Ioz2 35 36 2730 2300 1908 I549 1217 0909 o621 0352 0098 36 37 2722 2293 1902 I543 z212 0904 o617 o347 oo93 37 38, 2715 2286 1896 I538 1207 0899 o612 o343 0089 38 39 2707 2279 I889 1532 z201 0894 o608 o339 0085 39 40 T.2700 1.2272 i.i883 I.i526. 1196.0o889 I.o6o3 i.o334 i.oo8i 4o 41 2692 2266 1877 I520 1191 o884 0598 o33o 0077 4I 42 2685 2259 1871 1515 1186 o880 0594 0326 0073 42 43 2678 2252 i865 I509 118o o875 0589 032I o06g 43 44 2670 2245 1859 I50o3 1175 0870 o085 0317 oo65 44 45 1.2663 1.2239 1.1852 1.I498 1.1170 I.o865 I.o58o x.o33 I.xoo61- 45 46 2655 2232 i846 I492 1164 o860 o575 o3o8 0057 46 47 2648 2225 I840 I486 1159 o855 o571 o304 oo53 47 48 2640 2218 I834 I48z 1154 o850 o566 0300oo 0049 48 49 2633 2212 1828 1475 II49 o845 0562 0295 oo44 49 5o 1.2626 1.2205 1.1822 I.I469 I. II43 i-.o84o 1.o557 1.029 I.oo4o 50 5i 2618 2198 1816 I464 1I38 o835 0552 0287 oo36 5i 52 2611 2r92 1809 1458 1133 o83I o548 0282 oo32 52 53 2604 2185 80o3 1452 1128 0826 o543 0278 oo28 53 54 2596 2178 1797 1447 1123 0821 o539 o274 0024 54 55 I.2589 1.2172 I.I79J I.144I 1.1117 1.0816 i.0534 1.0270 I.0020 55 56 2582 2165 1785 I436 1112 o811 053 0265 oo0016 56 57 2574 2159 1779 I43o 1107 o806 o0525 0261 ooI2 57 58 2567 2152 1773 1424 1102 o080 052I 0257 ooo8 58 59 2560 2145 1767 1419 1097 0797 o056 0252 ooo4 59 S. 00 9' i0 10 1' 0~ 121 00 131 00 14' 00 15 0~ 16t 00 17' S. Page 134] TABLE XXII. Proportional Logarithms. h m h n h r h k h nm h kn h r h k h m h m h nm h m S. 00 18' 0 19' 0~ 201 00 21' 0 22'00 23 00 24i 00 25'/00 26' 00 271' 00 28'00 29 S. 0 oooo0000 9765 9542 933I 9i28 8935 8751 8573 84o3 8239 8o8i 7929 0 1 9996 9761 9539 9327 9125 8932 8748 8570 8400 8236 8079 7926 I 2 9992 9758 9535 9324 9122 8929 8745 8568 8397 8234 8076 7924 2 3 9988 9754 9532 9320 9119 8926 8742 8565 8395 8231 8073 7921 3 4 9984 9750 9528 93I7 9II5 8923 8739 8562 8392 8228 807I 7919 4 5 9980 9746 9524 9313 9II2 8920 8736 8559 8389 8226 8o68 7916 5 6 9976 9742 95,2 I 93o og9109 8917 8733 8556 8386 8223 8066 7914 6 7 9972 9739 9517 9306 91o6 8913 8730 8553 8384 8220 8063 79II 7 8 9968 9735 9514 9303 9I02 891o 8727 855o 838i 82I8 806I 7909 8 9 9964 9731 951o 9300 9099 8907 8724 8547 8378 82I5 8o588 7906 9 I0 9960 9727 9506 9296 9096 8904 8721 8544 8375 822 80o55 7904 I0 11 9956 9723 9503 9293 9092 890I 87I8 8542 8372 8210 8053 7901 II 12 9952 9720 9499 9289 9089 8898 8715 8539 8370 8207 8o50 7899 I2 I3 9948 97I6 9496 9286 9086 8895 8712 8536 8367 8204 8048 7896 i3'4 9944 9712 9492 9283 9083 8892 8709 8533 8364 8202 8045 7894 14 I5 9940 9708 9488 9279 979 8888 8706 8530 836I 81991 8o43 789I 15 I6 9936 9705 9485 9276 9076 8885 8703 8527 8359 8I96 8040 7889 I6 I7 9932 9701 9481 9272 9073 8882 8700 8524 8356 8I94 8037 7887 17 I8 9928 9697 9478 9269 9070 8879 8697 8522 8353 8191 8035 7884 18 I9 9924 9693 9474 9266 9066 8876 8694 8519 835o 8i88 8032 7882 19 20 9920 9690 9471 9262 9063 8873 86.9i 85i6 8348 8i86 8030 7879 20 21 99I6 9686 9467 9259 9060 887 8688 85I3 8345 8i83 8027 7877 2I 22 9912 9682 9464 9255 9057 8867 8685 85io 8342 8i8i 8025 7874 22 23 9908 9678 9460 9252 9053 8864 8682 8507 8339 8 78 8022 7872 23 24 9905 9675 9456 9249 9050 886I 8679 8504 8337 8 175 8020 7869 24 25 99go 9671 9453 9245 9047 8857 8676 8502 8334 81I73 80-I7 7867 25 26 9897 9667 9449 9242 9044 8854 8673 8499 833I 8170 8oI4 7864 26 27 9893 9664 9446 9238 904I 885I 8670 8496 8328 8167 8012 7862 27 28 9889 9660 9442 9235 9037 8848 8667 8493 8326 8i65 8009 7859 28 29 9885 9656 9439 9232 9034 8845 8664 8490 8323 8162 8007 7857 29 30 9881 9652 9435 9228 90o3 8842 866I 8487 8320 8I59 8oo4 7855 3o 3I 9877 9649 9432 9225 9028 8839 8658 8484 23I8 8157 8002 7852 31 32 9873 9645 9428 9222 9024 8836 8655 8482 83I5 8I54 7999 7850 32 33 9869 964I 9425 92I8 902I 8833 8652 8479 83I2 8I52 7997 7847 33 34 9865 9638 942I 9215 90o 8 883o 8649 8476 8309 8149 7994 7845 34 35 986i 9634 9418 9212 90oi5 8827 8646 8473 8307 8I46 7992 7842 35 36 9858 9630 9414 9208 90o2 8824 8643 8470 83o4 8I44 7989 7840 36 37 9854 9626 94II 9205 9008 882I 8640 8467 83oi 8I41 7987 7837 37 38 985Q 9623 9407 9201 9005 8817 8637 8465 8298 8i38 7984 7835 38 39 9846 96r9 9404 9198 9002 88i4 8635 8462 8296 8i36 7981 7832 39 40 9842 9615 9400 9I95 8999 88II 8632 8459 8293 8I33 7979 7830 40 4i 9838 9612 9397 919I 8996 88o8 8629 8456 8290 8I3I 7976 7828 41 42 9834 9608 9393 9I88 8992 8805 8626 8453 8288 8128 7974 7825 42 43 9830 9604 9390 9185 8989 8802 8623 845i 8285 8I25 7971 7823 43 44 9827 960I 9386 9181 8986 8799 8620 8448 8282 8123 7969 7820 44 45 9823 9597 9383 9I78 8983 8796 86I7 8445 8279 8120o 7966 781-8 45 46 98I9 9593 9379 9175 8980 8793 86I4 8442 8277 8117 7964 7815 46 47 98I5 9590 9376 9I7I8977 8o 86ii 8439 8274 8II5 796I 78I3 47 48 9811 9586 9372 9I68 8973 8787 8608 8437 8271 81I2 7959 7811 48 49 9807 9582 9369 9I65 8970 8784 86o5 8434 8269 8iio 7956 7808 49 50 9803 9579 9365 9162 8967 878I 8602 843I 8266 807 7954 7806 50 5i 9800 9575 9362 9I58 8964 8778 8599 8428 8263 8io4 7951 7803 5i 52 9796 9571 9358 9I55 896I 8775 8597 8425 826I 8102 7949 7801 52 53 9792a 9568 9355 9152 8958 8772 8594 8423 8258' 8099 7946 7798 53 54 9788 9564 935i 9I48 8954 8769 8591 8420 8255 8097 7944 7796 54 55 9784 956i 9348 9I45 895I 8766 8588 84I7 8253 8094 794I 7794 55 56 9780 9557 9344 9I42 8948 8763 8585 844 8250o 8o9I 7939 779I 56 57 9777 9553 9341 9138 8945 8760 8582 841 8247 8089 7936 7789 57 58 9773 9550 9337 9'35 8942 8757 8579 8409 8244 8o86 7934 7786 58 59 9769 9546 9334 9132 8939 8754 8576 84o6 8242 8o84 7931 7784 59 s. 00 18 0 19 00 20) 00 21/ 00 22/ 00 23; 0~ 24100o 25/ 0026 00 27 0028/ TABLE XXII. [Page 135 Proportional Logarithms. m m mh m h mh h m A m k m h m h mh mh h S. 00 30' 00 31' 00 32/' 0 33/00 34100 35' 00 36' 00 37/'00 381 0. 39'00 40 00 411 S. 0 7782 7639 7501 7368 7238 7112 6990 6871 6755 6642 6532 6425 o I 7779 7637 7499 7365 7236 711 0 6988 6869 6753 6640 6530 6423 I 2 7777 7634 7497 7363 7234 7;08 6986 6867 675i 6638 6529 6421 2 3 7774 7632 7494 7361 7232 710o6 6984 6865 6749 6637 6527 6420 3 4 7772 7630 7492 7359 7229 7104 6982 6863 6747 6635 6525 64i8 4 5 7769 7627 7490 7357 7227 7102 6980 686i 6745 6633 6523 6416 5 6 7767 7625 7488 7354 7225 71oo 6978 6859 6743 663i 6521 64I4 6 7 7765 7623 7485 7352 7223 7098 6976 6857 6742 6629 65I9 64I3 7 8 7762 7620 7483 7350 722I 7096 6974 6855 6740 6627 65i8 64ix 8 9 7760 7618 7481 7348 7219 7093 6972 6853 6738 6625 65i6 6409 9 10 7757 76I6 7479 7346 7217 7091 6970 685I 6736 6624'65I4 6407.10 II 7755 7613 7476 7344 72I5 7089 6968 6849 6734 6622 6512 640o6 11 12 7753 7611 7474 7341 7212 7087 6966 6847 6732 6620 65Io 6404 12 i3 7750 7609 7472 7339 7210o 7085 6964 6845 6730 66i8 6509 6402 13 I4 7748 7607 7470 7337 7208 7083 6962 6843 6728 66i6. 6507 6400 i4 I5 7745 7604 7467 7335 7206 7081 6960 684 6726 66i4 65o5 6398 i5 i6 7743 7602 7465 7333 7204 7079 6958 6840 6725 6612 6503 6397 i6 I7 7741 7600 7463 7330 7202 7077 6956 6838 6723 6611 65oi 6395 17 i8 7738 7597 7461 7328 7200 7075 6954 6836 6721 6609 6500 6393 i8 I9 7736 7595 7458 7326 7198 7073 6952 6834 6719 6607 6498 639I I9 20 7734 7593 7456 7324 7196 7071 6950 6832 6717 6605 6496 6390 20 21 7731 7590 7454 7322 7193 7069 6948 6830 6715 6603 6494 6388 21 22 7729 7588 7452 7320 7191'7067 6946 6828 6713. 66oi 6492 6386 22 23 7726 7586 7450 7317 7I89 7065 6944 6826 6711 6600 649i 6384 23 24 7724 7583 7447 7315 7187 7063 6942 68 24 6709 6598 6489 6383 24 25 7722 758I 7445 7313 7185 7061 6940 6822 6708 6596 6487 638 25 26 77I9 7579 7443 7311 7183 7059 6938 6820 6706 6594 6485 6379 26 27 77I7 7577.744I 7309 7181 7057 6936 68i8 6704 6592 6484 6377 27 28 7714 7574 7438.7307 7179 7055 6934 68I6 6702 6590 6482 6376 28 29 77I2 7572 7436 7304 7I77. 7052 6932 68I4 6700 6589 6480 6374 29 30 7710 7570 7434 7302 7I75 7050 6930 68I2 6698 6587 6478 6372 30 3i' 7707 7567 7432 7300 7172 7048 6928 68io 6696 6585 6476 637I 31 32 7705 7565 7429 7298 7170 7046 6926 6809 6694 6583 6475 6369 32 33 7703 7563 7427 7296 7168 7044 6924 6807 6692 658i 6473 6367 33 34 7700 7560 7425 7294 7166 7042 6922 6805 669I 6579 6471 6365 34 35 7698 7558 7423 7-29 7164 7040 6920 68o3 6689 6578 6469 6364 35 36 7696 7556 7421 7289 7162 7038 69I8 68oi 6687 6576 6467 6362 36 37 7693 7554 7418 7287 7160 7036 6916 6799 6685 6574 6466 6360 37 38, 7691 7551 74I6 7285 7I58. 7034 69I4 6797 6683 6572 6464 6358 38 39 7688 7549 74I4 7283 7156 7032 69I 2 6795 668I 6570 6462 6357 39 4o 7686 7547 74I2 72 7154'7030 6910 6793 6679 6568 6460 6355 40 41 7684 7544 7409 7279 7I52 7028 6908 6791 6677 6567 6459 6353 41 42 7681 7542 7407 7276 7149 7026 6906 6789 6676 6565 6457 635I 42 43 7679 7540 7405 7274 7147 7024 6904 6787 6674 6563 6455 6350 43 44 7677 7538 7403 7272 7145 7022 6902 6785 6672 656i 6453 6348 44 45 7674 7535 7401 7270 7143 7020 6900 6784 6670 6559 645i 6346 45 46 7672 7533 7398 7268 714I 7018 6898 6782 6668 6558 645o 6344 46 47 7670 753I 7396 7266 7139 70o6 6896 6780 6666 6556 6448 6343 47 48 7667 7528 7394 7264 7137 7014 6894 6778 6664 6554 6446 6341 48 49 7665 7526 7392 7261 7I35' 70I2 6892 6776 6663 6552 6444 6339 49 50 7663 7524 7390 7259 7133 701I 6890 6774 666I 655o 6443 6338 50 5I 7660 7522 7387 7257 7I3I 7008 6888 6772 6659 6548 6441 6336 5I 52 7658 75I9 7385 7255 7129 7006 6886 6770 6657 6547 6439 6334 52 53 7655 7517 7383 7253 7127 7oo004 6884 6768 6655 6545 6437 6332 53 54 7653 7515 7381 7251 7124 7002 6882 6766 6653 6543 6435 633i 54 55 7651 7513 7379 7249 7122 7000 688I 6764 665I 654I 6434 6329 55 56 7648 7510 7376 7246 711o 6998 6879 6763 6650 6539 6432 6327 56 57 7646 7508 7374 7244 71I8 6996 6877 6761 6648 6538 6430 6325 57 58 7644 7506 7372 7242 72I6 6994 6875 6759 6646 6536 6428 6324 58 59 7641 7503 7370 7240 7114 6992 6873 6757 6644 6534 6427 6322 59 S. 0~ 30/ 00 31/ 00 32' 00 33/100 34,100 35/ 0~ 36' 00 37' 00 38' 00 39/ 0~ 401 00 41/ S. Page 1,3] TABLE XXII. Proportional Logarithms. h m h m h n l ml h m hr h m h mlh m h m h n h m S. 00 42'10~ 43/00 44 00 45/o00 46' 00 47' 00 481 00 49100 50 00 51 00 52' 00 531 S. 0 6320 6218 6iI8 6021 5925 5832 5740 565I 5563 5477 5393 53io 0 I'639 62I61 6I17 60I9 5924 5830 5739 5649 5562 5476 539I 5309 I 2 6317 6215 61I5 6017 5922 5829 5737 5648 5560 5474 5390 5307 2 3 63i5 6213 6ii3 6o16 5920 5827 5736 5646 5559 5473 5389 5306 3 4 63i3 6211 6i12 6oi4 59I9 5826 5734 5645 5557 547I 5387 5305 4 5 6312 62I0 6IIIo 6oi3 59I7 5824 5733 5643 5556 5470 5386 5303 5 6 63io 6208 6Io8 6oii 59I6 5823 573I 5642 5554 5469 5384 5302 6 7 63o8 6206 607 6009oo 59I4 582I 5730 5640 5553 5467 5383 5300oo 7 8 6306 6205 6I05 6oo8 59I3 58I9 5728 5639 555i 5466 5382 5299 8 96305 6203 6io3 6006 59II 58I8 5727 5637 5550 5464 538o 5298 9 Io 63o3 6201 602 6oo005 5909 586 5725 563615549 5463 5379 5296 Io II 63oi 6200 6100 6oo3 5908 58i5 5724 5635 5547 546I 5377 5295 II 12 6300oo 698 6099 6oo 5906 58i3 5722 5633 5546 546o 5376 5294 I2 I3 6298 6I96 6097 6ooo 5905 58I2 572I 5632 5544 5459 5375 5292 13 I4 6296 6I95 6095 5998 5903 58io 57I9 563o 5543 5457 5373 529I 14 I5 62.94 693 6094 5997 554I 5456 53"72 5290 I5 I,6 6293 6I9I 6092 5995 59oo 5807 57I6 5627 554o 5454 53-o 5288 i6 I7 6291 6I90go 69o 5993 5898 5806 57I5 5626 5538 5453 5369 5287 17 I8 6289 688 6o89 5992 5897 58o4 57I3 5624 5537 5452 5368 5285 i8 I9 6286 686 6087 5990 5895 5803 57I2 5623 5536 5450 5366 5284 I9 20 6286 6I85 6o85 5989 5894 58oI 5710 5621 5534 5449 5365 5283 20 21 6284 6I83 6o84 5987 5892 58oo 5709 5620 5533 5447 5364 528I 2I 22 6282 6i8i 6082 5985 589I 5798 5707 56I8 553I 5446 5362 5280 22 23. 628I 6179 6o8I 5984 5889 5796 5706 56I7 553o 5445 536i 5279 23 24 6279 6178 -6079 5982 5888 5795 5704 56I5 5528 5443,5359 2 5277 24 25 6277 6176 6077 5981 5886 5793 5703 56i4 5527 5442 5358 5276 25 26 6276 6174 6076 5979 5884 5792 5701 56I3 5526 544o 5357 5275 27 6274 6173 6074 5977 5883 5790 5700o 56II 5524 5439 5355 5273 27 28 6272 6617 6072 5976 588i 5789 5698 56io 5523 5437 5354 52,762 28 29 6271 6I69 607I 5974 5880o 5787 5697 56o08 552I 5436 5353 5271 29 30 6269 6I68 6069 5973 5878 5786 5695 5607 5520 5435 535I 5269 3o 31 6267 6i66 6067 597I.5877 5784 5694 5605 55I8 5433 535o 5268 31 32 6265 6i65 6o66 5969 5875 5783 5692 5604 5517 5432 5348 5266 32 33 6264 6i63 6064 5968 5874 5781 569I 5602 55i6 5430 5347 5265 33 34 6262 6i6I 6063 5966 5872 5780 5689 56oi 55I4 5429 5346 5264 34 35 6260 6I60 606I 5965 5870 5778 5688 5599 55I33 5428 5344 5262 35 36 6259 6i58 6059 5963 5869 5777 5686 5598 55II 5426 5343 5261 36 37 6.57 6i56 6o58 596I 5867 5775 5685 5596 55io 5425 534I 5260 37 38 6255 6i55 6o56 5960 5866 5774 5683 5595 5508 5423 5340 5258 38 39 6254 6I53 6055 5958 5864 5772 5682 5594 5507 5422 5339 5257 39 40 oI 252 6Sii 6o53 5957 5863 577 568o 5592 5506 542I 5337 5256 4o 4I 6250 6i5o 6o05 5955 586i 5769 5679 559I 55o4 54I9 5336 5254 4I 42 6248 6I48 6o050o 5954 586o 5768 5677 5589 5503 54I8 5335 5253 42 43 6247 6i46 6o48 5952 5858 5766 5676 5588 55o0I 54i6 5333 5252 43 44 6245 6i45 6o46 5950 5856 5765 5674 5586 55oo 54i5 5332 5250 44 45 6243 6I43 6045 5949 5855 5763 5673 5585 5498 54I4 5331 5249 45 46 6242 6I4i 6o43 5947 5853 576I 5671 5583 5497 54I2 5329 5248 46 47 624o 640o 6042 5946 5852 5760o 5670 5582 5496 54iI 5328 5246 47 48 6238 6i38 6o04 5944 585o 5758 5669 558o 5494 5409 5326 5245 48 49 6237 6i36 6o38 5942 5849 5757 5667 5579 5493 54o8 5325 5244 49 50 6235 6i35 6037 594I 5847 5755 5666 5578 549 5407 5324 5242 50o 5I.6233 6i33 6o35 5939 5846 5754 5664 5576 5490o 5405 5322' 524I 5i 52 6232 6I3i 6o33 5938 5844 5752 5663 5575 5488 5404 532I 524o 52 53 6230 6i3o 6032 5936 5843 575I 566i 5573 5487 5402 5320 o 5238 53 54 6228 6I28 6o30 5935 584i 5749 5660 5572 5486 54oi 53I8 | 5237 54 55 626 61262 6029 5933 5839 5748 5658 5570 5484 5400oo 5317 5235 55 56 6225 6125 6o027 593 5838 5746 5657 5569 5483 5398 535; 5234 56! 57 6223 6I23. 6o25 5930 5836 5745 5655 5567 548i 5397 53I4 5233 57 58 622I 6121 6024 5928 5835 5743 5654 5566 548o 5395 53I3 1523I 58 59 6220 6I20 6022 5927 5833 5742 5652 5564 5478 5394 53II 523o 59 S. 00 42' 00 43100 44/100 45 00 46' 00 471 00 481 00 49/ 00 50/ 00 51/ 00 52'l00 531 S. ~~~~~~ _ O>... O., _. _ / _IOI TABLE XXII. [Page 137 Proportional Logarithms. h m h sm m h n, hAm hm nt It m km km h M 00 54/]00 55/ 0 5600 57/ 00 100 59_ 10 _ 10 1 I c 103/ 10 4/ 105/ S. o 5229149 5071 4994 498 44 477I 4699 4629 4559 4491 4424 0 5227 5i48 5070 4993 49I7 4843 4770 4698 4628 4558 4490 4422 25226 5i46 5o68 499i 49i6 4842 476914697 4626 4557 4489 442[ 3 5225 5145 5067 4990 495 484i 4768 4696 4625 4556 4488 4420 3 4 5223 5I44 5o66 4989 49'3 4839 4766 4695 4624 4555 4486 4419 4 5222 5-43 564 4988 49 4838 47i65 4693 4623 4554 4485 44 5 6 522, Si514i 5063 4986 49", 4837 4764 4692 4622 4552 4484 4417 6 7 5219 5i4o 5062 4985 49IO 4836 4763 469 4621 455i 4483 44i6 7 8 528539 5o6i / 4984 4908 4834 4762 469o 46i9 455o 4482 44' 8 95217 5i 37 50o59 4983 4907/4833 476o 4689 46i 4549 448i 4414 9 io S21S 5r36 5o58 4981 49o67iT 4759 4688 4617 4548 44804412 10 II 52i4 5i35 5o57 4980 49o5 483I 4758 4686 46i6 4547 4479 4411 iI 12 5213 533 5o55 4979 4903 483o 4757 4685 46i5 4546 4477 441o 12 i3 5211 5132 5o54 4977 4902 a/4828 4756 4684 46i4 4544 4476 4409 13 I4 52IO 53i _5053 4976 490o 4827 4754 4683 4612 4543 4475 44o08 4 -i 5209 5I2' I 4975 4900 48 6 4753 4682 46ii 4S42 442 4 4407 i i6 5207 5128 5o5o 4974 4899 4825 4752 468o 46io 454i 4473 4406 i6 17 52o6 527 15o49 4972 4897 4823 4751 4679 4609 454o 4472 44o5 17 i8 520o 5i25 5o48 4971 48961 4822 4750 4678 46o8 4539 447i 44o4 18 i9 5203 SI24 0o46 4970 4895 4821 4748 4677 4607 4538 4469 4402 19 20 2 -o2 123 -45- 4969-14894 482o 4747 4676146o6 4S36 4468 44 20-o 21 520oi 5122 5o44 4967 4892 4819 4746 4675 46o4 4535 4467 44oo 21 22 5199 5120 5o43 4966 4891 4817 4745 4673 4603 4534 4466 4399 22 23 5198 5;z9 So4i 4965 4890 4816 4744 4672 4602 4533 4465 4398 23 24 5197 5ii8 5040 4964 4889 4815 4742 4671 460i 4532 4464 4397 24 25 5195 Sii6 5039 4962 4887 48i4 474' 4670 46oo 453i 4463 4396 25 26 5194 5ii5 5037 4961 4886 4812 4740 4669 4599 4530 4462 4395 26 27 5193 5ii4 5O36 496014885 48ii 4739 4668 4597 4528 446o 4394 27 28 59gr 5,12 5o35 4959' 4884 48io 4738 4666 4596 4527 4459 4393 28 29 LS9o 5Ii 5034 4957 4882 4809 4736 4665 4595 4526 4458 439I 29 - 518 iio 5o32 4956 488i 48o8 4735.4664 4594 4525 4457 4390 30 31 5187 S5io8 503r 4955 1 488o 1 48o6 4734 4663 4593 4524 4456 4389 31 32 5i86 5107 5030 4954 4879 48o5 4733 4662 4592 4523 4455 4388 32 33 5i85 0io6 5028 4952 4877 48o4 4732 4660 4590 4522 4454 4387 33 34 5i83 5io5 5027 4951 487614803 4730 4659 4589 4520 4453 4386 34 35 i82 5 495o 4875 47 4 4658 4588 45 I I 44520438535 36 5i8i 5102o 5025 4949 4874148oo 4728 4657 4587148 445014384 36 37 5179 Sioi 5023 4947 4873 4799 4727 4656 4586 4517 4449 4383 37 38 5i;8 5099 5022 4946 4871 4798 4726 4655 4585 45i6 4448 438 I38 39 5177 5o098 5021 4945 4870 4797 4724 4653 4584 4515 _4447 438o 39 4'- 575 So097-T 4943 4869 4795 4723 4652 4582 45I4 4446 4379 4o 4' 5174 5095 5oSI 4942 14868 4794 4722 465i 458i 45I2 4445 4378 41 42 5173 5094 501o7 4941 4866 4793 4721 465o 458o 45i1 4444 4377 42 43 5172 5093 5oi6 494o 4865 4792 4720o 4649 4579 45io 4443 4376 43 44 5v7o 5092 So~4 493814864 479I 47i814648 4578 450914441 4375 44 73' o1 50 50i3 4,93774-86 4789 4717 4646 -4S77 45o8T 444o 43-4 45 46 5i6i 508'9 5o.2 4936 486i 4788 47i6 4645 4575 45o7 4439 4373 46 47 5i66 5o88 5oi! 4935 486o 4787 475 4644 45741 45o6 4438 4372 47 48 5i65 5o86 5oo9 4933 4859 4786 4714 4643 4573 45o5 4437 4370 48 49 5i64 5o85 5oo8 4932 4858 4785 4712 4642 4572 45o3 [4436 4369 49 SS 5i56 -~;77 ~ 4925 48S0 ~ 47o5 4 7 449 4429 4363 53 - M - 13-6 -'5 56 5i54 o76 4.999! 4923 48496 473 4704 4633 4S64 44,50 4428 362 5 6 5 SiS3 5oS S 14998 4922 4848 477S 4703 4632 4563 4494 4432 4366 S7 5S SiS2 S076 4997 4923 4847 4776 47o0 4633 4564 44953 4426 4359 S 59 Si~o S072 4995 492o 4845 4772 470, 463o 456o 4492 4425 435 59 S.~ Oo54/Oo5S/1 o 0 0 /0 570 80 1 0 10 1 0 3 10 4 0 4 0 S. 100 541,00 - -~~~~~~~~~~~~~~~6/ 10 3/ 10 51~~~~~~~~~ Page 138] TABLE XXII. Proportional Logarithms. h m h m h n m hm h m h m h m hm h m h kr h m S 16/ 107/ 10 8/ 10 9f 1010 11011 10 12/10 13/ 1014 10 15' 1016 110 17. o 4357 4292 4228 4i64 402 4o04o 3979 39I9 386o 3802 3745 3688 o I 4356 429I 4227,4I63 4Ioi 4039 3978 39I9 3859 80oi 3744 3687 I 2 4355 4290 4226 4162 4Ioo 4o38 3977 3918 3858 3800 3743 3686 2 3 4354 4289 4224 4I6I 4099 4037 3976 3917 3857 3799 3742 3685 3 4 4353 4288 4223 416o 4098 4036 3975 3916 3856 3798 374I 3684 4 5 4352 4287 4222 4159 4097 4o35 3974 3915 3856 3797 3740 3683 5 6 435I 4285 422I 4I58 4096 4o34 3973 3914 3855 3796 3739 3682 6 7 4350o 4284 4220 4157 4095 4033 3972 3913 3854 3795 3738 368I 7 8 4349 4283 4219 4i56 4093 4032 3971 3912 3853 3794 3737. 3680 8 9 4347 4282 42I8 4I55 4092 4o3I 3970 39II 3852 3793 3736 3679 9 2o 4346 428i 42I7 4I54 4o09 4030o 969 39io 385i 3792 3735 3678 1 II 4345 4280 42I6 4I53 4090o 4029 396 3909 385o 3792 3734 3677 II 12 4344 4279 4215 4152 4o89 4028 3967 3908 3849 3791 3733 3677 I2 I3 4343 4278 4214 4I5I 4o88 4027 3966 3907 3848 3790 3732 3676 13 I4 4342 4277 4213 450o 4087 4026 3965 3906 3847 3789 373I 3675 14 I5 434I 4276 4212 4149 4086 4025 3964 3905 3846 3788 3730 3674 15 i6 434o 4275 4211II 4147 4085 4024 3963 3904 3845 3787 3729 3673 i6 I7 4339 4274 4210 4I46 4084 4023 3962 3903 3844 3786 3728 3672 17 i8 4338 4273 4209 4145 4083 4022 396I 3902 3843 3785 3727 3671 18 19 4336 4271 4207 4i44 4082 402I 3960 390o 3842 3784 3727 3670 19 20 4335 4270 4206 4I43 4o8I 4020 3959 3900 384I 3783 3726 3669 20 2I 4334 4269 4205 4142 4080 4oi9 3958 3899 3840 3782 3725 3668 2I 22 4333 4268 4204 4I4i 4079 40o8 3957 3898 3839 3781 3724 3667 22 23 4332 4267 4203 4I40 4078 40I7 3956 3897 3838 3780 3723 3666 23 24 433i 4266 4202 4I39 4077 4oi6 3955 3896 3837 3779 3722 3665 24 25 4330 4265 420oi 4I38 4076 4o5 3954 3895 3836 3778 3721 3664 25 26 4329 4264 4200 4I37 4075 4o0I4 3953 3894 3835 3777 3720 3663 26 27 4328 4263 4I99 4i36 4074 4oi3 3952 3893 3834 3776 3719 3663 27 28 4327 4262 4198 4I35 4073 40I2 395I 3892 3833 3775 37I8 3662 28 29 4326 4261 4197 4I34 4072 4o0II 3950 389I 3832 3774 3717 366I 29 3o 4325 4260 4196 4i33 407I 4oio 3949 3890 383i 3773 37I6 3660 30 3I 4323 4259 4I95 4132 4070 4009 3948 3889 383o 3772 3715 3659 3i 32 4322 4258 4I94 4i3I 4o69 4oo8 3947 3888 3829 377I 37I4 3658 32 33 4321 4256 4I93 4i3o 4o68 4007 3946 3887 3828 3770 3713 3657 33 34 4320o 4255 4i92 4129 4067 4oo6 3945 3886 3827 3769 37I2 3656 34 35 43i 4254 41 I 4128 4o66 4005 3944 3885 3826 3768 37II 3655 35 36 *4318 4253 4I89 4I27 4o65 4004 3943 3884 3825 3768 371o 3654 36 37 43I7 4252 4i88 4126 4o64 4oo3 3942 3883 3824 3767 3709 3653 37 38 43I6 425I 4187 4I25 4063 4002 394I 3882 3823 3766 3709 3652 38 39 43I5 4250 4I86 4124 4062 400oo 3940 388i 3822 3765 3708 365I 39 4O 43i4 4249 4I85 4I22 406I 4000 3939|388o 3821 3764 3707 365o 4o 4I 43i3 4248 4I84 4121 4060 3999 3938 3879 3820 3763 3706 3649 4I 42 43II 4247 4i83 4120 4059 3998 3937 3878 3820 3762 3705 3649 42 43 43io 4246 4I82 4119 4058 3997 3936 3877 3819 376I 3704 3648 43 44 4309 4245 48 4 4i8 4o056 3996 3935 3876 38i8 3760 3703 3647 44 45 4308 4244 4180 4117 4o55 3995 3934 3875 3817 3759 3702 3646 45 46 4307 4243 4179 4ii6 4054 3993 3933 3874 38i6 3758 3701 3645 46 47 43o6 4241 4I78 415 4053 3992 3932 3873 38i5 3757 3700 3644 47 48 4305 4240 4177 4II4 4052 3991 3931 3872 38i4 3756 3699 3643 48 49 4304 4239 4I76.4II3 4o5i 3990 3930 387I 38i3 3755 3698 3642 49 50 4303 o4238 4175 4II2 4o5o 3989 329 3870 3812 3754 3697 364i 5o 51 4302 4237 4174 4III 4049 3988 3928 3869 38ii 3753 3696 364o 5i 5 430I 4236 4173 4iIO 4048 3987 327 3868 38io 3752 3695 3639 52 53 43oo 4235 4172 4109 4047 3986 3926 3867 3809 375I 3694 3638 53 54 4298 4234 41I7 4io8 4046 3985 3925 3866 3808 375013693 3637 54 55 4297 4233 4I69 4107 4045 3984 3924 3865 3807 3749 3693 3636 55 56 4296 4232 4i68 4Io6 4044 3983 3923 3864 38o6 3748 3692 3635 56 57 4295 4231 4167 4o05 4043 3982 3922 3863 3805 3747 369I 3635 57 58 4294 4230 4i66 4io4 4042 398I 3921 3862 3804 3746 3690 3634 58 59 4293 4229 4i65 41o3 404i 3980 3920 386i 38o3 3746 3689 3633 59 S. 106' 1i7' 108/ 19 1 ~91010 11 11 0121~0 13/10 14/ 1 15/1 16'1~0 17 S.,1..f _- 1/i~6 TABLE XXII. [Page 139 Proportional Logarithms. h mk mh m h m Mh m h m h m A mA m mh m h m S. 1i 18' 10 19' 10 20' 10 21' 10 22' 10 23t 10 24' 10 25/ 10 26 10 27' 11 28' 10 29 s. O 3632 3576 3522 3468 34I5 3362 33Io 3259 3208 3I58 3io8 3059 o I 363i 3576 352i 3467 34i4 336i 3309 3258 3207 3157 307 3058 I 2 363o 3575 3520 3466 34i3 3360 33o8 3257 3206 3i56 31o6 3057 2 3 3629 3574 3519 3465 34I2 3359 3307 3256 3205 3i55 3io5 3o56 j 4 3628 3573 35i8 3464 34ii 3358 33o6 3255 3204 3I54 3io5 3o56 4 5 3627 3572 3517 3463 34io 3358 33o6 325 324 34 3153 3io4 3o55 5 6 3626 3571 35i6 3463 3409 3357 3305 3253 3203 3153 3103 3054 6 7 3625 3570 3515 3462 34.8 3356 3304 3253 3202 3152 3102 3o53 8 3624 3569 35I5 346i 34:8 3355 3303 3252 320o 3i5I 3ioI 3052 8 9 3623 3568 35i4 3460 3407 3354 3302 3251 3200 3i50 3ioi 3052 9 io. 3623 3567 3513 3459 3406 3353 33oi 3250 3199 3I49 3Ioo 30o5i o II 3622 3566 3512 3458 3405 3352 3300 3249 3198 3I48 3099 3o050 I 12 3621 3565 35II 3457 3404 3351 3300 3248 3198 3i48 3098 3049 12 I3 3620 3565 3510o 3456 3403 335I 3299 3247 3197 3147 3097 3o48 13 I4 36I9 3564 3509 3455 3402 3350 3298 3247 3196 3146 3096 3047 i4 I5 36i8 3563 35o8 3454 340I 3349 3297 3246' 3195 3I45 3096 3047 I5 i6 3617 3562 3507 3454 34o00 3348 3296 3245 3194 3I44 3095 3o46 i6 17 36i6 356i 35o6 3453 34o0 3347 3295 3244 3193 3,43 3094 3o45 17 i8 3615 3560 3506 3452 3399 3346 3294 32.43 3193 3I43 3093 3044 i8 19 36i4 3559 3505 345i 3398 3345 3294 3242 3192 3142 3092 3o43 I9 2o 36i3 3558 35o4 3450 3397 3345 3293 3242 3191 3i4i 3091 3Q43 20 21I. 3612 3557 3503 3449 3396 3344 3292 324I 3190 3i4o 3091 3042 2I 22 36ii 3556 3502 3448 3395 3343 3291 3240 3189 3139 3090 3o4i 22 23 36io 3555 350o 3447 3394 3342 3290 3239 3I88 3i38 3089 3040 23 24 36io 3555 35oo 3446 3393 334I 3289 3238 3i88 3i38 3088 3039 24 25 3609 3554 3499 3446 3393 3340 3288 3237 3187 3137 3087 3039 25 26 36o508 3553 3498 3445 3392. 3339 3288 3236 3I86 3i36 3087 3038 26 27 3607 3552 3497 3444 339I 3338 3287 3236 3i85 3I35 3086 3037 *27 28 3606 3551 3497 3443 3390 3338 3286 3235 3i84 3134 3085 3036 28 29 36o5 3550 3496 3442 3389 3337 3285 3234 3183 3133 3o84 3035 29 30 3604 3549 3495 344i 3388 3336 3284 3233 3183 3i33 3o83 3034 30 31 3603 3548 3494 3440 3387 3335 3283 3232 3182 3132 3082 3Q34 31 32 3602 3547 3493 3439 3386 3334 3282 3231 3i8i 3131 3082 3033 32 33 36oi 3546 3492 3438 3386 3333 3282 323i 3i8o 3i30 3o08 3032 33 34 36oo 3545 3491 3438 3385 3332 328i 3230 3179 3129 3080 303i 34 35 3599 3545 3490 3437 3384 3332 3280 3229 3I78 3I29 3079 3o3o 35 36 3598 3544 3489 3436 3383 333i 3279 3228 3178 3128 3078 303o 36 37 3598 3543 3488 3435 3382 333o 3278 3227 3177 3127 3078 3029 37 38 3597 3542 3488 3434 338i 3329 3277 3226 3I76 3126 3077 3028 38 39 3596 3541 3487 3433 338o 3328 3276 3225 3175 3125 3076 3027 39 40 3595 3540 3486 3432 3379 3327 3276 3225 3174 3124 3075 3026 40 4i 3594 3539 3485 343i 3379 3326 3275 3224 3173 3124 3074 3026 4i 42 3593 3538 3484 343. 3378 3325 3274 3223 3173 3123 3073 3025 42 43 3592 3537 3483' 3430 3377 3325 3273 3,222 3I72 3122 3073 3024 43 44 3591 3536 3482 3429 3376 3324 3272 322I 3171 3121 3072 3023 44 45 3590 3535 3481 3428 3375 3323 3271 3220 3170 3I20 307i 3022 /45 46 3589 3535 3480 3427 3374 3322 3270 3220 3169 3119 3070 3022 46 47 3588 3534 3480 3426 3373 332I 3270 32I9 3I68 3I9 3069 302I 47 48 3587 3533 3479 3425 3372 3320 3269 3218 3i68 3ri8 3069 3020 48 49 3587 3532 3478 3424 3372 3319 3268 3217 3167 3117 3068 3019 49 50 3586 353i 3477 3423 337i 33i9 3267 3216 3i66 3I16 3067 30o8 50 5i 3585 3530 3476 3423 3370 3318 3266 3215 3i65 3ii5 3066 3oi8 5i 52 3584 3529 3475 3422 3369 3317 3265 32I4 3i64 3I14 3o65 30o7 52 53 3583 3528 3474 3421 3368 33i6 3265 32I4 3163 31I4 3o65 3oi6 53 54 3582 3527 3473 3420 3367 3315 3264 3213 3i63 3113 3064 3oi5 54 55 358i 3526 3472 34I9 3366 33' 4 3263 32I2 3162 3112 3063 3oi4 55 56 3580 3525 3471 3418 3365 33I3 3262 3211 316I 3I1I 3062 3oz4 56 57 3579 3525 347I 3417 3365 33x3 326I 3210 3i6o 3iio 3o06 3oi3 57 58 3578 3524 3470 34i6 3364 3312.3260 3209 3159 31io 3 3060 2 58 59 3577 3523 3469 3415 3363 33ii 3259 3209 3i58 3109 36 3o 3 59 LS. 10 181-K 10 1'02' 2'02210- 23'10 24 /10 25,i''- 10 26' ~127/P 28,1i0 29/ - S. 18/ 10 19110 20 1~ 21 1~ 2123 1~ 24/1~ 25I 1~261S. Page 1401 TABLE XXII. Proportional Logarithms. h m it m h m h m h rm m h m m h mi h m h m h m S. 10 30' 10 31' 10 32/ 10 33/ 10 34/ 10 35t 10 36'110 37/ 1 38/ 10 39/11 40/'10 41 S. o 3oio 2962 29I5 2868 2821 2775 2730 2685 2640 2596 2553 25Io o I 3009 2962 2914 2867 282I 2775 2729 2684 2640 2596 2552 2509 I 2 3009 296I 2913 2866 2820 2774 2729 2684 2639 2595 2551 2508 2 3 3008 2960 29I2 2866 28I9 2773'2728.2683 2638 2594 255I 2507 3 4 3007 2959 29I2 2865 2818 2772 2727 2682 2638 2593 2550 2507 4 5 3006 2958 2911 2864 2818 2772 2726 268i 2637 2593 2549 2506 5 6 3005 2958 29io 2863 2817 277I 2725 2681 2636 2592 2548 2505 6 7 3005 2957 2909 2862 28I6 2770 2725 2680 2635 2591 2548 2504 7 8 3004 2956 2909 2862 2815 2769 2724 2679 2635 2591 2547 2504 8 9 3o003 2955 29o8 286I 28I5 2769 2723 2678 2634 2590 2546 2503 9 IO 3002 2954 2907 2860 28I4 2768 2722 2678 2633 2589 2545 2502 10 11 3oo0 2954 2906 2859 28I3 2767 2722 2677 2632 2588 2545 2502 II 12 3ooI 2953 2905 2859 28I2 2766 2721 2676 2632 2588 2544 25oI 12 I3 3000 2952 2905 2858 28I1 2766 2720 2675 263i 2587 2543 2500 i3 I4 2999 2951 2904 2857 2811 2765 2719 2675 2630 2586 2543 2499 I4 I5 2998 2950 2903o3 2856 2810 2764 2719 2674 2629 2585 2542 2499 i5 i6 2997 2950 2902.2855 2809 2763 27I8 2673 2629 2585 2541 2498 i6 17 2997 2949 2901 2855 2808 2763 27I7 2672 2628 2584 2540 2497 17 x8 2996 2948 2901 2854 2808 2762 27I6 2672 2627 2583 2540 2497 18 I9 2995 2947 2900 2853 2807 276I 2716 2671 2626 2583 2539 2496 19 20 2994 2946 2899 2852 2806 2760 27I5 2670 2626 2582 2538 2495 20 21 2993 2946 2898 2852 2805 2760 27I4 2669 2625 258I 2538 2494 2I 22 2993 2945 2898 285I 2805 2759 2713 2669 2624 2580 2537 2494 22 23 2992 2944 2897 2850 2804 2758 27I3 2668 2624 2580 2536 2493 23 24 299I 2943 2896 2849 2803 2757 2712 2667 2623 2579 2535 2492 24 25 2990 2942 2895 2848 2802 2756 27II 2666 2622 2578 2535 2492 25 26 2989 2942 2894 2848 2801 2756 27IO 2666 262I 2577 2534 249I 26 27 2989 294I 2894 2847 2801 2755 27IO 2665 2621 2577 2533 2490 27 28 298& 2940 2893 2846 2800 2754 2709 2664 262o 2576 2533 2489 _8 29 2987 2939 2892 2845 2799 2753 2708 2663 26IO 2575 2532 2489 29 30 2986 2939 289I 2845 2798 2753 2707 2663 26I8 2574 2531 2488 30 31 2985 2938 289I 2844 2798 2752 2707 2662 126I8 2574 2530 2487 3i 32 2985 2937 2890 2843 2797 275I 2706 266I 2617 2573 2530 2487 32 33 2984 2936 2889 2842 2796 2750 2705 2660 26I6 2572 2529 2486. 33 34 2983 2935 2888 2842 2795 2750 2704 2660 26i5 2572 2528 2485 34 35 2982 2935 2887 284I 2795 2749 2704 2659 26I5 257I 2527 2485 35 36 298r 2934 2887 2840 2794 2748 2703 2658 26I4 2570 2527 2484 36 37 298I 2933 2886 2839 2793 2747 2702 2657 26i3 2569 2526 2483 37 38 2980 2932 2885 2838 2792 2747 2701 2657 26I2 2569 2525 2482 38 39 2979, 293I 2884 2838 2792 2746 270I 2656 2612 2568 2525 2482 39 40 2978 2931 2883 2837 279I 2745 2700 2655 26II 2567 2524 2481 4 41 2977 2930 2883 2836 2790 2744 2699 2655 26IO 2566 2523 2480 4I.42 2977 *2929 2882 2835 2789 2744 2698 2654 26IO 2566 2522 2480 42 43 2976 2928 288I 2835 2788 2743 2698 2653 2609 2565 2522 2479 43 44 2975 2927 2880 2834 2788 2742 2697 2652 2608 2564 2521 2478 44 45 2974 2927 2880 2833 2787 274I 2696 2652 2607 2564 2520 2477 45 46 2973 2926 2879 2832 2786 274I 2695 265I 2607 2563 2520 2477 46 47 2973 2925 2878 2831 2785 2740 2695 2650 2606 2562 25I9 2476 47 48 2972 2924 2877 2831 2785 2739 2694 2649 2605 256I 25I8 2475 48 49 2971 2924 2876 2830 2784 2738 2693 2649 2604 2561 2517 2475 49 50 2970 2923 2876 2829 2783 2738 2692 2648 2604 2560 25I7 2474 5o 51 2969 2922 2875 2828 2782 2737 2692 2647 2603 2559 25I6 2473 S5 52 2969 2921 2874 2828 2782 2736 269I 2646 2602 2559 2515 2472 52 53 2968 2920 2873 2827 2781 2735 2690 2646 260o 2558 25I5 2472 53 54 2967 2920 2873 2826 2780 2735 2689 2645 260o 2557 2514 247I 54 55 2966 2919 2872 2825 2779 2734 2689 2644 2600 2556 25I3 2470 55 56 2965 29I8 2871 2825 2779 2733 2688 2643 2599 2556 2512 247o 56 57 2965 2917 2870 2824 2778 2732 2687 2643 2599 2555 25I2 2469 57 58 2964 2916 2869 2823 2777 2732 2687 2642 2598 2554 25II 2468 58 59 2963 2916 2869 2822 2776 2731 2686 2641 2597 2553 251c 2467 59 S. 1~ 30' 10 31'110 32' 10 33311~ 34' 10 35/ 10 36' 10 37 38' 10 39'110 40' 10 41' S. 0 TABLE XXII. [Patd 141 Proportional Logarithms. h m mmh mh mh m h mh h m h Mlh m h m 10 42/110 43' 10 44/ 10 45/ 10 46 10 47/ 10 48' 10 49/ 110 50' 10 51' 1~ 52' 10 53 S. 0 2467 2424 2382 2341 2300 2259 22I8 2178 2I39 2099 2061 2022 0 I 2466 2424 i2382 2340 2299 2258 2218 2178 2138.2099 2060 202 I I 2 2465 2423 238I 2339 2298 2258 2217 2I77 2I37 2098 2059 2021 2 3 2465 2422 2380 2339 2298 2257 2216 2176 2I37 2098 2059 2020 3 4 2464 2422 2380 2338 2297 2256 22I6 2176 2136 2097 2058 2019 4 5 2463 2421 2379 2337 2296 2256 2215 2175 2136 2096 2057 2019 5 6 2462 2420 2378 2337 2296 2255 2214 2174 2135 2096 2057 2018 6 7 2462 2419 2378 2336 2295 2254 2214 2I74 2134 2095 2056 2017 7 8 246I 24I9 2377 2335 2294 2253 22I3 2I73 2134 2094 2055 2017'8 9 2460 24I8 2376 2335 2294 2253 2212 2172 2133 2094 2055 20o6 9 I0 2460 2417 2375 2334 2293 2252 2212 2172 2132 2093 2054 2016 10 II 2459 2417 2375 2333 2292 2251 2211 a2I71 2132 2092 2053 20o5 II I2 2458 2416 2374 2333 2291 2251 2210 2170 2131 2092 2053 20I4 I2 i3 2458 2415 2373 2332 2291 2250 2210 2170 2130 2091 2052 20I4 i3 i4 2457 24I5 2373 2331 2290 2249 2209 2I69 2I30 2090 2052 20I3 I4 I5 2456 2414 2372 233I 2289 2249 2208 2169 2129 2090 2051 20o2 i5 I6 2455 24T3 237I 2330 2289 2248 2208 2I68 2128 2089 205o 2012 i6 17 2455 2412 237I 2329 2288 2247 2207 2167 2128 2088 2050 2011 17 i8 2454 2412 2370 2328 2287 2247 2206 2I67 2127 2088 2049 20I0 i8 I9 2453 24II 2369 2328 2287 2246 2206 2I66 2I26 2087 20o48 20o 0 19 20 2453 2410 2368 2327 2286 2245 2205 2165 2126 2086 2048 2009 20 21 2452 2410 2368 2326 2285 2245 2204 2165 2125 2086 2047 2009 21 22 2451 2409 2367 2326 2285 2244 2204 2164 2124 2085'2046 2008 22 23 2450 2408 2366 2325 2284 2243 2203 2163 2I24 2085 2046 2007 23 24 2450 2408 2366 2324 2283 2243 2202 2163 2123 2084 2045 2007 24 25 2449 2407 2365 2324 2283 2242 2202 2162 2122 2083 2044 2006 25 26 2448 2406 2364 2323 2282 224I 2201 216I 2122 2083 2044 2005 26 27 2448 2405 2364 2322 2281 2241 2200 2I61 2121 2o82 2043 2005 27 28 2447 2405 2363 2322 2281 2240 2200 2160 220 2o081 2042 2004 28 29 2446 2404 2362 2321 2280 2239 2I99 2I59 2I20 2081 2042 2003 29 30 2445 2403 2362 2320 2279 2239 2198 2159 211 9 2080 2041 2003 30 3i 2445 2403 2361 2320 2279 2238 2198 2158 2118 2079 2041 2002 3i 32 2444 2402 2360 2319 2278 2237 2197 2I57 2II8 2079 2040 200I 32 33 2443 24o0 2359 23I8 2277 2237 2196 2157 21I 7 2078 2 200139 33 34 2443 2401 2359 2317 2277 2236 2196 2156 2116 2077 2039 2000 34 35 2442 2400 2358 2317 2276 2235 2195 2155 2I16 2077 2038 20o0 35 36 244I 2399 2357 2316 -2275 2235 2I94 2155 2II5 2076 2037 I999 36 37 2441 2398 2357 23I5 2274 2234 2I94 2I54 2II5 2075 2037 1998 37 38 2440 2398 2356 23I5 2274 22331 2I93 2x53 2114 2075 2o36 I998 38 39 2439 2397 2355 23I4 2273 2233 2 I92 253 2I13 2074 2035 1997 39 40' 2438 2396 2355 23i3 2272 2232 2192 2152 2II3 2073 2035 I996 4o 41 2438 2396 2354 2313 2272 2231 219I 2151 2II2 2073 2034 1996 4I 42 2437 2395 2353 2312 227I 2231 2190 2151 2111 2072.2033 I995 42 43 2436 2394 2353 2311 2270 2230 2I90 2I50 2111 2072 2033 I994 43 44 2436 2394 2352 -2311 2270 2229 2I89 2I49 2I0o 207 1 2032 1994 44 45 2435 2393 235I 23Io 2269 2229 2I88 2I49 2I09 2070 2032 1993 45 46 2434 2392 2350 2309 2268 2228 2I88 2148 2109 2070 2o3i 1993 46 47' 2433 239I 2350 2309 2268 2227 2I87 2I47 2I08 2069 2030 I992 47 48 2433 239I 2349 2308 2267 2227 2I86 2I47 2I07 2068 2030 I99I 48 49 2432 2390 2348 2307 2266 2226 2186 2I46 2107 2068 2029 1991 49 50 2431 2389 2348 2307 2266 2225 2I85 2145 2106 2067 2028 I990 50 51 2431 2389 2347 23o6 2265 2225 2I84 2145 210o5 2066 2028 I989 5i 52 2430 2388 2346 2305 2264 2224 2184 2144 2105 2o66 2027 I989 52 53 2429 2387 2346 2304 2264 2223 2183 2I43 2Io4 2065 2026 I988 53 54 2429 2387 2345 2304 2263 2223 2I82 2143 2103 2064 2026 I987 54 55 2428 2386 2344 2303 2262 2222 2I82 2142 2103 2064 225 987 55 56 2427 2385 2344 2302 2262 222I 2I81 2I41 2102 2063 2025 1986 56 57 2426 2384 2343 2302 226I 2220 2180 2141 2101 2062 2024 1986 57 58 2426 2384 2342 2301 2260 2220 2180 2140 2101 2062 2023 I985 58 59 2425 2383 2342 2300 2260 2219 2179 | 2I39 2I100 2061 2023 I984 59 S. i 42'1~ 43110 44' 1 45 1~ 46'|10 47- 11 48 1o 49' 14 50' 1 511 51'10 53' s. rage 142] TABLE XXII. Proportional Logarithms. h m, h m m h 1 h m hm m h k m k m h m h m. 1~54 1055/ 1056 1057/ 1058/ 1~59' 20 0' 2~ 1' 20 2 20 3' 20 4' S. 0 1984 I946 1908 1871 I834 I797 1761 1725 i669 i654 1619 0 I 1983 1945 1908 I870 i833 1797 1760 1724 1689 I653 i618 I 2 I982 1944 1907 I870 I833 1796 176o 1724 I688 I652 I617 2 3 1982 1944 I906 1869 I832 I795 I759 1723 I687 1652 I6I7 3 4 I98I I943 1906 i868 i83i 1795 1759 1722 1687 i65i 16I6 4 5 g1981 1943 1905 i868 1831 I794 1758 1722 i686 i65i i6i6 5 6 1980 1942 I904 I867 i83o'794 1757 172I i686 i65o 1615 6 7 1979 1941 1904 I867 i83o 1793 1757 I721 i685 i65o0 164 7 8 1979 194I I903 i866 1829 1792 1756 1720 i684 I649 i6i4 8 9 1978 1940 1903 I865 I828 1792 1755 I719 I684 i648 I6i3 9 1T 1977 1939 1902 I865 1828 1791 I755 1719 1683 i648 i6i3 io 11 I977 1939 I90I I864 127 I79I 1754 17I8 I683 I647 I6I2 II 12 1976 I938 1901 1863 1827 1790 1754 1718 1682 I647 16I2 12 I3 1975 1938 I900 i863 1826 I789 1753,I r7 i68i I646 i6II 13 I4 1975 1937 1899 1862 1825 1789 1752 17.7 i68i i645 i610 i4 i5 1974 i936 1899 1862 1825 1788 I1752 1716 i68o0 645 1610 15 I6 1974 1936 I898 i86i 1824 1788 1751 1715 168o0 644 1609 16 I7 1973 1935 1898 i86o 1823 1787 1751 1715 1679 i644 I609 17 i8 1972 1934 1897 i860 1823 1786 1750 I7I4 1678 i643 i608 18 I9 1972 I934 1896 1859 1822 1786 1749 I7I4 1678 1643 1607 I9 20 197I I933 I896 I85 1822 1I785 1749 I7I3 1677 642 607 20 21 1970 1933 1895 i858 I82I 1785 I748 I712 I677 I64I I606 21 22 1970 1932 1894 1857 1820 1784 I1748 1712 1676 I64I i6o6 22 23 1969 I93I I894 I857 1820 1783 1747 1711 1676 I64C 16o5 23 24 1968 1931 1893 i856 1819 1783 1746 1711 1675 164o i6o5 24 25 1968 1930 1893 i855 1819 1782 1746 1710 1I674 1639 I604 25 26 1967 1929 1892 i855 1818 1781 I745 1709 1674 I638 i603 26 27 1967 1929 1891 i854 1817 1781 1745 1709 1673 i638 1603 27 28 i966 1928 1891 i854 1817 1780 1744 1708 1673 1637 1602 28 29 1965 1928 1890 I853 i8i6 1780 1743 1708 1672 1637 1602 29 30 I965 1927 I889 I852 i8I6 177 I1743 1707 I67I 1636 i60o 30 31 1964 I1926 1889 1852 1815 I778 I1742 1706 I67I i635 6oo00 3I 32 1963 1926 i888 185i i8i4 I778 I742 I706 1670 1635 600oo 32 33 1963 1925 i888 i85o 1814 1777 I741 1705 I670 I634 1599 33 34 1962 1924.1887 i85o i8i3 1777 I740 1705 1669 i634 I599 34 35 1962 1924 i886 1849 1812 1776 1740 1704 i668 x633 I 598 35 36 I96I 1923 I886 1849 1812 1775 1739 I703 I668 i633 1598 36 37 960 1923 i885 i848 i8ii 1775 1739 1703 1667 1632 1597 37 38 960 1922 i884 1847 I8i I 774 1738 1702 1667 I63i 1596 38 39 1959 1921 i884 1847 I8IO 1774 1737 I1702 i666 i631 1596 39 40 1958' 1921 i883 i846 1809 1773 1737 1701 i665 1630 1595 40 4 1958 1920 i883 i843 I809 1772 1736 1700 I665 i63o 1595 4I 42 1957 1919 188 2 1845 I8o8 1772 I736 1700 i664 1629 1594 42 43 1956 19I9 I88I i844 I808 1771 1735 I699 i664 1628 I593 43 44 I956 1918 i88I I844 I807 I771 1734 I699 I663 I628 I593 44 45 I955 I9I8 I880 I843 I806 I770 1734 I698 I663 I627 I592 45 46 i955 1917 i880 i843 8o06 I769 1733 1697 1662 1627 1592 46 47 I954 19I6 1879 I842 i8o5 1769 1733 1697 i66i 1626 1591 47 48 I953 1916 I878 I84I I8o5 I768 1732 I696 I66I I626 I591 48 49 I953 I915 1878 i841 I8o4 1768 1731 1696 166o 1625 I590 49 50 I952 1914 1877 i84o i8o3 1767 173I 1695 i660 1624 1589 50 5I 195I I9I4 1876 I839 18o3 1766 1730 1694 1659 1624 I589 51 52 1951 I913 I876 1839 1802 I766 1730 I694 i658 I623 I588 52 53 I950 I913 i875 i838 1802 1765 I729 1693 i658 I623 I588 53 54 1950 I912 I875 i838 I80oi 1765 I728 1693 1657 1622 1587 54 5'949 I9 11 1874 1837 1800 1764 1728 1692 i657 1621 1587 55 56 I948 1911 1873 I836 18oo00 1763 1727 I692 1656 1621 i586 56 57 1948 I 910 1873 I 836 1799 1763 1727 I691 i655 I620 I585 57 58'947 909 1872 i835 1798 1762 1726 I690 i655 I620 I585 58 59 I946'909 1871 i835 1798 I762 I725 I69o 1654 6I9 I584 59 S. 1 54 10 5/ 10 56 1 57 10 58i 10 59 2 0 2/ 1! 2 2' 20 3 1 2 4/ s. 54f 10 51 1 5 I -Li~~~o 3 TABLE XXII. [Page 143 Proportional Logarithms. h r h m h mn h m h mmA h M h m hm hm h M S. 20 5/ 20 6t 2~ T 2~ 8t 20 9 / 2010 2~11t 2~129 2013 1 20141 2015/ o 1 584 1549 I515 1481 1447 14I —3 I380 1347 I3I4 1282 1249 o I 1583 I548 I5I4 1480 I446 1413 1379 I346 I314 1I281 1 249 I 2 1582 I548 I5I4 I479 I446 I4.2 I379 I346 I3I3 I28I I248 2 3 1582 1547 I513 I479 1445 I412 I378 1345 I313 I1280 1248 3 4 1581 1547 1512 1478 1445 14I I 1I378 1345 1312 1280 1247 4 _ 158I I546 I5I2 1478 I444- - 141I 1377 I344 1311 1279 I247. 5 6 I580 I546 151 1 I477 1443 14Io0 I377 1344 1311 1278 I246 5 7 I580 1545 I5II I477 I443 1409 I376 1343 1310 1278 I246 7 8 I579 I544 1510 1476 I442 I409 1376 I343 I3IO I277 1245 8 9 1578 I544 I510 I476 I442 i408 1375 1342 1309 1277 1245 9 io'-I578 1543 1509 1475 1441i I408 1374 I1342 I309 I276 I244 IO0 11 1577 I543 I508 I474 144I 1407 1374 I34I 1308 1276 124,3 II I2 1577 1542 1508 1474 1440 1407 1373 I340 1308 I275 1243 I2 13 1576 I542 1507 1473 1440 I406 I373 1340 1307 I275 1242 13 I4 1576 1541 1507 1473 I439 1406 1372 1I339 I307 1274 I242 14 I5 I575 1540o I506 1472 I438 I405 I372 1339 1306 1274 I241 15 I6 I574 I540 I50o6 I472 I438 I404 I37I I338 ri306 I1273 I24I I6 I7 1574 1539 1505 I47I 1437 I404 1371 1338 1305 I 273 1240 17 I8 I573 I539 I5o4 I470 I437 1403 I370 I337 I3o4 I272 124o 18 I9 I573 I538 1504 1470 1436 1403 1370 1337 i304 I271 1239 19 20 I1572 i538 150o3 1469 i436 1402 1369 I336 I303 I271 I239 20 21 1571 1537 1503 I469 I435 I402 1368 1335 I303 I1270 1238 21I 22 j57I I536 1502. I468 1435 140O I368 1335 1302 I270 1238 22 23 I570 I536 1502 1468 1434 140I I367 I334 I302 1269 I237 23 24 1570 I535 150oi 1467 1433 1400 1367 I334 130I I269 I237 24 25 1569 1535 I500 1467 I433 I399 I366 I333 1I30I I268 1236 25 26 1569 1534 1500 1466 I432 I399 1366 1333 1300 1I268 1235 26 27,I568 1534 1499 1465 1432 1398 I365 1332 1300 I267 I235 27 28 I567 1533 1499 1465 I43i 1398 I365 1332 1299 I1267 1234 28 29 1567 1532 1498 I464 I43I 1397 I364 1331 1298 1266 I234 29 30 I 566 1532 1498 1464 1430 I397 I363 I1331 1298 1266 I233 30 3I I566 1531 1497 1463 1429 1396 I363 1330 1297 1265 I233 31 32 1565 I531 1496 1463 I429 I396 1362 1329 I297 1264 1232 32 33 I565 I530 I496 I462 I428 I395 I362 I329 I1296 I264 I232 33 34 1564 I530 1495 1461 I428 1394 I36i I328 I296 1263 I23i 34 35 I563 1529 I495 1461 I427 I394 I361 1328 I295- I263 i231 35 36 I563 I528 1494 1460 I427 1393 1360 I327 I1295 I1262 1230 36 37 1562 1528 I494 I460 1426 I393 1360 1327 I294 I262 1230 37 38 I562 I527 1493 1459 1426 I392 I359 1326 I294 I261 I229 38 39 1561 1527 1493 I459 1425 1392 1359 1326 I293 I26I 1229 39 40 i561 I526 I1492 1458 1424 1391 1358 i325 1292 1260 1228 40 41 1560 1526 1491 I458 I424 1391 I357 1325 1292 1260 I227 41 42 1559 1525 I49I 1457 1423 1390 1357 I324 1291 1259 1227 42 43 I559 I524 1490 1456 1423 I389 1356 1323 1291 I259 1226 43 44 I558 I524 I490 1456 1422 i389 1356 1323 I290 1258 r226 44 45 I558 1 523 I489 1455 I422 1388 I 355 I322 1290 1257 I225 45 46 1557 1523 1489 1455 I421 1388 I355 1322 1289 I257 1225 46 47 i556 i522 1488 1 454 I42I 1387 1354 1321 1289 1256 1224 47 48 1556 I522 I487 1I454 I420 1387 1354 1321 1288 1256 1224 48 49 I555 1521 1487 1453 I4I. 1I386 1353 1320 1288 1255 1223 49 50 i555 I520 " 486 1 452 4I9 1386 i352 1320 I287 1255 1223 50 51 1554 I520 1486 1452 I418 1385 1352 I3I9 I287 I254 1222 5I 52 1554 1519 1485 1451 1418 1I384 1351 1319 1286 1254 2122 52 53 I553 I5I9 I485 I45I I4I7 I384 135I I3I8 I285 I253 I22I 53 54 I552 1518 I484 1450 1417 1383 1350 1317 1285 1253 1221 54 55 i552 1518 I483 I450 I4I6 i383 1350 I317 I284 I252 I220 55 56 1551 1517 1483 1449 1416 1382 i349 1316 I284 I252 12I9 56 57 i55I I5I6 I482 I449 I4I5 I382 I349 I3I6 283 125I I2I1 57 58 1550 I5I6 I482 I448 I4I4 I38i i348 13I5 1283 I 1250 1218 58 59 I550 1515 1I481 1447 1414 I38I i348 13I5 1282 1250 I28 59 S. 2 5y 2~-6'- 2~ 7' 2~ 8' 2~ 9' 2~101 22~111l~2013'l -2014f 2 151 S_ Page 144] TABLE XXII. Proportional Logarithms. h m h m h m h k h mr hm h h h h h m S. 2016 2017/ 218120181 219 2o020t 221' 2022 2023 20241 20251 2026 S. O 12I7 ii86 ii54 1123 I091 io6i io3o 0999 0969 0939 og9og 0 I 1217 ii85 1 I53 1122 IO91 Io6o I029 0999 0 969 0939 o0909 2 i216 1184 1153 tI22 IO90 Io6o Io29 0998 0968 og938 o9o8 2 3 I2I6 Ii84 II52 II21 1090 I059 Io28 0998 0968 og938 ogo8 3 4 I215 ii83 1152 II20 1089 io58 1028 0997 0967 o0937 0907 4'5 I2I5 ii83 115I 1120 I089 Io58 I027 0997 0967 0937 0907 5 6 1214 1182 1151 1119 io88 1057 1027 0996 0966 0936 0906 6 7 1214 1182 115o0 1119 o88 1o57 1026 0996 0966 0936 0906 7 8 1213 1181 ii5o i 118 I087 io56 1o26 0995 0965 0935 o905 8 9:213 118I I1149 1118 1087 io56 1025 0995 0965 o935 0905 9 IO 1212 80 II49 II1117 o86 Io55 1025 0994 0964 og934 ogo4 10 I 121 II I8o 1148 1117 io86 io55 1024 0994 0964 0934 o904 ii 12 1211 I1179 1t48 iii6 o1085 1054 1024 0993 0963 0933 0903 12 I3 I2IO II79 I1147 1Ii6 I085 I054 I023 0993 0963 0933 ogo3 13 14 1210 1178 1147 1115 1084 1053 I023 ~099 0962 0932 0902 I4 I5 I209 1178 ii46 11i5 io84 io53 1022 0992 og962 0932 0902 i5 6 I209 I1177 ii46 iii4 o1083 1052 I022 099I 096I O93I O90I 16 I7 1208 I177 ii45 III4 io83 I052 102I 0991 096I 093I 090I 17 I8 1208 1176 I145 iii3 1082 105I 1021 0990 0960 0930 0900 18 19 1207 1175 1144 1113 Io82 Io051 020 0990 0960 o930 0900 19 20 1207 1175 1143 1112 10o81 o50 I1020 989 0959 0929 0899 20 21 1206 1174 ii43 1112 I081 1050 1019 0989 0959 0929 0899 21 22 1206 II 74 1142 III I080 1049 IOI9 0988 og958 0928 o898 22 23 1205 1173 1142 1111 1o080 1049 o1018 988 0958 0928 0898 23 24 12o5 1173 1141 11I10 179 Io48 o018 0987 0957 0927 0897 24 25 I204 II72 II4I IIIO I079 Io48 IOI7 0987 0957 0927 0897 25 26 1204 II72 1140 II09 1078 I047 I017 0986 0956 0926 o896 26 27 I203 I7I I 40 II09 1o78 10o47 Io106 0986 0956 0926 0896 27 28 1202 1I7I 1139 1108 1077 io46 io6 og985 0955 0925 0895 28 29 1202 1170 1139 11o8 1076 I046 ioi5 0985 0955 o0925 0895 29 3o 1201 1170 1138 1107 1076 1045 oi5 o0984 0954 o924 0894 30 31 1201 1169 ui38 1106 1075 o045 ioi4 0984 0954 0924 0894 31 32 1200 1169 1137 iio6 1075 io44 io14 0983 0953 o923 0893 32 33 1200 ii68 1137 11o5 1074 io44 ioi3 0983 0953 0923 0893 33 34 ii99 Ii68 ii36 iio5 1074 io43 ioi3 o982 o952 0922 0892 34 35 1199 1167 1136 iIo4 1073 io43 IOI2 0982 og52 0922 0892 35 36 1198 1167 ii35 iio4 I073 I042 I012 o98I o951 092I o891 36 37 I198 ii66 ii35 iio3 1072 I042 IOII 0980951I 0921 o8gI 37 38 1197 1165 1134 io3 1072 o04 I 09og80 og0950 0920 o8go 38 39 II97-' i65 II34 II02 I071 IO4I IO og80 og0950 0920 0890 39 40 1196 1164 ]I33 1102 107I Io4o 1009 0979 o949 og919g o889 4o 41 II96 iI64 II32 1101 1070 I040 1009 0979 0949 o91I 0889 4I 42 II95 ii63 1132 1101 1070 I039 ioo008 o0978 0948 OgI8 o888 42 43 1195 ii63 1131 1100 Io69 1039 ioob 0978 o0948 o098 o888 43 44 1194 1I62 ii3I IIoo 069 io38 1007 0977 0947 09I7 0887 44.-'5 — ~193' zz6~- 3o- Oo68 i037 1007.. 8-8 45 1193 II62 ii30 1099 io68 1037 1007 0977 0947 0917 0887 45 46 1193 ii6i 13o 1099 io68 1037 ioo6 0976 0946 o916 o886 46 47 1192 iI6I 1129 1098 1067 IO36 oo006 0976 o0946 0916 o886 47 48 1192 116o 1129 1098 1067 io36 oo005 0975 0945 o915 o885 48 49 1191 II6 1128 I097 io66 io35 ioo5 0975 0945 o915 o885 49 950 III 1159 1128 1097 Io66 1035 1004 0974 o944 0914 o884 50 5I 119g I159 1127 Io96 Io65 Io34 Ioo4 0974 0944 0914 o884 5I 52:19o i158 1127 1096 io65 1034 ioo3 0973 0943 0913 o883 52 53 ii89 1158 1126 O095 io64 xo33 Ioo3 0973 0943 OgI3 o883 53 54 1189 II157 1126 10o95 o64 io33 1002 o972 0942 0912 o883 54 -55 1188 1157 1125 io94 io63 1032 1002 0972 0942 0912 o882 55 56 1188 1156 1125 1094 io63 1032 1001 0971 0941 o.- I o882 56 57 1I87 iI56 II24 I093 I062 o3i oo1001 0971 0941 911 o88i 57 58 1187 1155 1124 1092 1062 io3I 1000 0970 0940 o91 088i 58 59 1 I86 1 II54 I1123 092 o06I I0o3o 1000 0970 0940 09o 0o880 59 S. 20~16' 2017' 2018' 2019' 2020' 20212 2022' 2023/ 2024' 12025 2026'.J _ -._1. _.. - TABLE XXII. [Page 145 Proportional Logarithms h m h m m h m hm m m h m h m h m 2027/ 2~ 28 20~ 291 2~ 301 2~ 31 20 32' 2033/ 234/ 2035/ 2036/ 2037/ o o88o o85o o821.0792 0763 0734 0706 o678 o649 o621 o594 o I 0879 o850 0820 0791 0762 0734 0705 0677 0649 o621 0593 r 2 0879 0849 0820 o79I 0762 0733 0705 o677 o648 0621 0593 2 3 0878 0849 9819 0790 0762 0733 0704 0676 o648 0620 o592 3 4 0878 o848 o819g 0790 o76I 0732 0704 0676 o648 0620 0592 4 5 0877 o848 o8I8 0789 076I 0732 0703 o675 o647 o6Ig o591 5 6 o877 o847 o8I8 0789 0760 0o73I 0703 0675 0647 o619 o5g91 6 7 o876 0847 o8I7 0788 0760 0731 0703 o674 o646 o6I8 0591 7 8 0876 o846 o817 0788 0759 0730 0702 0674 o646 o6i8 o5go90 8 9 0875 o846 o8i6 0787 0759 0730 0702 o673 o645 o06I7 o590 9 10 o875 o845 o8I6 0787 0758 0730 070I o673 o645 o617 o589 Io I1 o874 o845 o816 0787 0758 0729 0701 o672 o644 o6I6 o589 Ii 12 o874 o844 o8I5 0786 0757 0729 0700 0672 o644 o6I6 o588 12 I3 0873 o844 o815 0786 0757 o728 0700 0671 o643 o6i5 o588 I3 I4 o873 o843 0814 0785 0756 0728 o699 0671 o643 o6I5 o587 14 i-5 o87 843 o843 4 0785 0756 0727 o699 0670 0642 o6I5 0587 I5 i6 0872 0842 o8i3 o784 0755 0727 o698 0670 o642 o6I4 o586 16 17 o871 0842 o8i3 0784 0755 0726 0698 0670 o64' o6I4 o586 17 I8 0871 o84i o8 2 0783 o754 0726 0697 0669 o64I o6 3 o585 i8 I9 o870 o84i o8r2' c783 0754 0725 o697 o669 o64I o6I3 o585 19 20 0870 o840 o8ii 0782 0753 0725 o696 o668 o64o. 0612 o585. 20 21 o869 o84o o8ii 0782 0753 0724 o696 o668 o640 o6I2 o584 21 22 o869 o839 o8Io o78, 0752 0724 o695 o667 0639 o6ii o584 22 23 o868 0839 o8I0 o781 0752 0723 o695 o667 o6 o6 o583 23 24 o868 o838 o809 0780 075I 0723 o0694 o666 o638 06io o583 24 25 0867 -o838 0809 o780 075I 0722 o694 o666 o638 o6I o582 25 26 0867 0837 o8o8 0779 0751 0722 o694 o665 o637 o609 o582 26 27 o866 0837 o8o8 0779 0750 072I o693 o665 o637 o609 o58I 27 28 o866 o836 0807 0778 0750 0721 o693 o664 o636 o609 o58i 28 29 o865 o836 0807 0778 0749 0721 o69g o664 o636 0608 o580 29 30 o865 o835 o8o6 0777 0749 0720 o692 o663 o635 o608 o580 3o 3i o864 o835 o8o6 0777 0748 0720 o6gI o663 o635 o607 0579 31 32 o864 o834 o805 0776 0748 0719 o691 o663 o634 0607 0579 32 33 o863 o834 o805 0776 o747 07I9 0690 0662 o634 o6c6 o579 33 34 o863 o834 o804 0775 0747 07I8 69o0 0662 o634 o6o6 o578 34 35 0862 o833 o8o4 o775 0746 o718 o689 o66i 633 o6 or o578 35 36 o862 o833 o803 o774 o746 o77 I o689 o66 I o633 o6o5 o577 36 37 o86I o832 o803 0774 0745 o717 o688 o660 o632 o604 o577 37 38 o86i o832 o802 0774 0745 o716 o688 o660 o632 o6o4 o576 38 39 o860 o83i 0802 0773 0744 o716 687 0o659 o63I o603 0576 39 40o 86o o8360 o8o 0773 0744 o715 o687 0659 o63i o603 0575 4o 4i o859 o830 o80I 0772 0743 0715 o686 o658 o63o o602 0575 4I 42 o859 o83o o8oi 0772 0743 07I4 o686 o658 o630 0602 0574 42 43 o858 0829 o80oo 0771 0742 0714 o686 o657 C629 o602 o574 43 44 o858 o829 o80o 077i 0742 0713 o685 o657 0629 o6oi 0573 44 45 o857 0828 0799 0770 074I o;i 3 o685 0656 0628 060I 0573 45 46 o857 0828 0799 0770 0741 0712 o684 o656 0628 o600 0573 46 47 o856 o827 0798 0769 0740 0712 o684 o655 o628 o600 o572 47 48 0856 0827 0798 0769 0740 0711 o683 o655 0627 o0599 o572'48 49 o855 o826 0797 0768 0740 o711 o683 o655 o627 o0599 o57 49 50o o855 0826 0-o797 076 0739 0711 0682 o654 0626 o598 057I 50 5i o855 o825 0796 0767 0739 o7I 0682 o654 0626 o598 o57o 5i 52 o854 o825 0796 0767 0738 071 o68i o653 o625 o597 o57o 52 53 o854 0824 0795 0766 0738 0709 o68i o653 o625 o597 o569 53 54 o853 o824 0795 0766 0737 0709 o680 o652 0624 o596 o569 54 55 o853 0823 0794 0765 0737 0708 o68o0 652 o0624 o596 o568 55 56 o852 o823 0794 0765 0736 0708 o679 o65i o623 o596 o568 56 57 o852 0822 0793 o764 o736 0707 0679 o65I 0623 o595 o568 57 58 0851 0822 0793 0764 0735 0707 0678 o650 0622 o595 o0567 58 59 o85i o821 0792 0763 0735 0706 0678 o650 0622 o594_ o567 59 S. 20 27/ 20 28/ 2029 2 30 20 31' 2032 20 33/ 20 34/ 2035/ 20 36' 2037' 8. 19 Eage 146] TABLE XXII. Proportional Logarithms. h m k m h m h m h h m h m h m h h m h m S. 20 38' 23 39/ 2040/ 20 41/ 20 42/ 20 43/ 2 44/ 20 45/ 20 46/ 20 47/ 2 48/ S. 0o566 o53 o566 o53 o52 484 o458 o43 o404 0378 o352 0326 o 300o o o566 o538 o5ii o484 o457 o430 o4o4 377 o35I o325 0299 I 2 o565 o538 o5II o484 0457 o0430 o403 o377 o35I o325 0299 2 3 o565 o537 o5o 0o483 o456 o430 o403 o377 o35o 0324 0298 3 4 o564 o537. o5io o483 o456 o429 o403 0376 o350 o324 0298 4 5 o564 o536 o509 0482 o455 0429 0402 0376 0349 0323 0297 5 6 o0563 o536 o509 o482 o455 0428 0402 0375 0349 0323 0297 6 7 o563 o536 o508 o48i o454 0428 o4o I 0375 0349 0323 0297 7 8 o562 o535 o508 o48i o454 0427 04oi 0374 o348 0322 0296 8 9 0562 o535 o507 o480 o454 0427 o4o 0o374 o348 0322 0296 9 Io o562 o534 o507 o80o o453 0426 o41 o 0374 o347 o321 0295 I0 1 o56I o534 0507 o480 o453 0426 o399 o373 0347 0321 0295 I I2 o56i o533 o5o6 o479 o452 o426 o399 0373 o346 o320 0294 12 i3 o560 o533 o506 0479 0452 0425 o399 0372 o346 o320 o294 13 i4 o56o0 532 o5o5 o478 o45i 0425 0398 0372 o346 0319 0294 i4 15 o59 o532 o5o5 0478 o45I o424 o398 o371 o345 o3 I 9 o293 15 I6 o559 o53i o5o4 0477 o450 o424 o397 o371 o345 o319 0293 i6 17 o558 o53i o504 0477 o450 0423 o397 0370 o344 o3I8 0292 17 i8 o558 o53i o5o3 0476 o450 o423 o396 0370 o344 o3i8 0292 i8 I 9 o557 o53o o503 0476 o449 o422 0396 o370 o343 o317 0291 I9 20 0557 oo53o 0502 o475 449 0422 0395 0369 343 o3 o7 029gI 20 21 o557 o529 o502 0475 0o448 o422 o395 o369 o342 0o36 o2gI 21 22 o556 o529 0502 o475 o448 042I o395 o368 o342 0o36 o290 22 23 o556 0528 o5oi 0474 0o447 042I o394 o368 o342 o3I6 0290 23 24 o555 o528 o50o o474 o447 0420 0394 0367 o34 o3 i 0289 24 2-5 o555 o527 o500oo 473 o446 o42 o0393 o367 034 o35 o-289 25 26 o554. o527 o5oo 0473 o446 0o4I9 393 o366 o34o o34 o0288 26 27 o554 o526 0499 o472 o446 04i9 0392 o366 o34o o3i4 o0288 27 28 o553 o526 0499 o472 o445 o4I8 o392 o366 0339 o3i3 0288 28 29 0553 0526 0498 047I o445 o4I8 o392 o365 0339 o313 0287 29 30 552 0525 o0498 041 r o444 o-48 0391 o365 o339 o3i3 0287 30 31 o552 o525 o498 o47I 0444 0417 0391 o364 o338 o312 0286 3i 32 0552 o524 o497 0470 o443 04I7 o39go o364 o338 0o32 0286 32 33 o55I o524 0497 0470 o443 0o46 0390 o363 o337 o3ii 0285 33 34 o55 0o523 0496 0469 0442 o4I6 o389 o363 o337 o3ii 0285 34 35 o55 0523 0496 0469 0442 o-4i 0389 o363 o336 o3o 0 o285 35 36 o550 0522 o495 o468 o442 0o45 o388 o362 o336 o3io 0284 36 37 0549 o522 0495 o468 o44i o4i4 o388 o362 o336 o3io 0284 37 38 0549 052I 0494 o467 o44i o4I4 o388 o36i o335 o309 0283 38 39 o548 o52I 0494 0467 o440 o4I4 o387 o36I o335 o309 0283 39 40 o548 052 0493 0467 44 o493 0387 o360 o334 o3o8 0282 40 4i 0547 o520 0493 o466 0439 04I3 o386 o36o o334 o3o8 0282 4I 42 0547 o520 o493 o466 0439 0412 o386 o359 o333 0o307 0282 42 43 o546 0o519 492 o465 o438 o412 o385 o359 o333 o307 0281 43 44 o546 o5I9 0492 o465 o438 o4ri o385 o359 o333 0307 0281 44 45 o546 o5i8 049i o464 o438 o04i o384 o358 o332 o3o6 0280 45 46 o545 0o58 0491 o464 0437 o4Io o384 o358 o332 o3o6 o280 46 47 o545 05I7 0490 o463 o437 o4Io o384 o357 o33I o3o5 0279 47 48 o544 0517 o490 o463 o436 o4io o383 o357 o33 0o3o5 0279 48 49 o544 o5I7 o489 0462 o436 0409 o383 o356 o330 o3o4 0279 49 50 o543 o5i6 o489 o462 o435 0409 0382 o356 o33o o304 0278 50 5 o543 o0516 o489 o462 o435 o4o8 o382 o356 o329 o3o4 0278 5 I 52 o0542 o5I5 o488 o46i o434 o4o8 o38 I o355 o329 o3o3 0277 52 53 o542 o5i5 o488 o46i o434 o407 o38i o355 o329 o3o3 0277 53 54.54I o5I4 o487 o460 o434 0407 o38i o354 o328 o302 0276 54 55 o-54I o54 048-7 o46o o433 o4o6 03 80o o354 o328 0302 o0276 55 56 o54i 0o53 o486 0459 o433 o4o6 o38o o353 0327 0301 0276 56 57 o54o o5i3 o486 0459 o432 o4o6 0379 o353 o327 o30o o275 57 58 o540 o512 o485 o458 o432 o4o5 0379 o353 o326 o3o00 275 58 59 o539 o5I2 o485 o458 o43i o4o5 o378 o352 0326 o300o 0274 59 S. 20 38/ 2~039/ 20 40/ 20 41' 20 42' 20 43/ 2044/ 20 45 20 461 20 47 20 48/ S. ~ s TABLE XXII. Lrage 147![ ~~~~~ Proportional Logarithms. 20 49/ 20 50, 251, 2~15' 20 53; 2 54' 2~5 20 561 2057 2~158; 20 59 -"0 0274 0248 0223 oI97 0172' 0i 7'122 0098 0 730049'0024 — 0 I 0273 0248 0222 oi97 oI72 0147 oI22 0097 0073 0048 0024 I 2 0273 0247 0222 0197 oi71 o146 oi22 0097 0072 0048 0023 2 3 0.273 024.7 022I oi96 oI71 o146 oi2!L 0096 0072 0047 0023 3 0272 0247 0 22I o196 017I o146 o12 0096 007I 0047 0023 4'-5 0272" 0o246 o221 oI95 0170 oI45 oI20 oo9 007I oo7'046 oo22:5 6 027I 0246 0220 o195 oi70 oI45 oI20 oo95~ 07 oo71 00262oa 6 7 0271 0245 0220 0194 o169 o144 Oil9 o095 0070 oo46 oo21 7 8 0270 0245 0219 o194 o169 o144 0119 0094 0070 0045 002I 9 0270 0244 0219 o194 o169 o143 Oii9 0094 0069. 0045 oo21 lO 0270 0244 021 —-- 0193 o168 o143 o118 0093'0069 0044 ooo Io I1 0269 0244 0218 o193 o168 o143 o118 0093 0068 004'4 0020 I 12 0269 0243 o218 0192 o167 o142 OlI7 0093 0068 0044 0019 12 13 0268 0243 02I7 oI92 o167 oI42 o1I7 0092 0068 0043 OOl9 io 14 0268 0242 02I7 0192 o166 o414 o1,17 0092 0067 0043 OOl9 14 — i5 0267 0~242 o216 o91" 0166-'o41 o1!6 oo91 o067 0o42 oo18 15 i6 0267 0241 o216 oi9i o166 o141 o116 oo91 o066 oo42 ooJ8 16 I7 0267 0241 o216 o19o o165 oi4o o115 oo91 o066 o042 ooI7 17 i8 0266 o241 o215 o19o o165 o14o o115 0090 0066 oo41 oo17 18 19q o266 024o 0o2I5 Mg8 oi64 oi3q i4 090 5 ooi017 19 — h-6o 0265 024o 0o214 o189 oi64 oi39 o114 0089 oo65''oo4o oo16'ao 2t o265 0239 0214 o189 o163 oi39 Oli4 0089 0064 0040 oo16 2 22 0264 0239 o213 o188 o163 o138 o113 1oo89 0064 0040 ooi5 9 23 0264 0238 o213 o188 o163 o138 o113 0088 0064 0039 oo15 23 24 0264 0238 o02i3 o187 o162 o137 0110o88 0063 0039 oo15 24 -- o263 0-23-8'o2I2 o187 o162- oi37 o112 0087 0063 0038 oo14 25 126 0263 0237 02I2 o187 oi61 o136 OI12 0087 oo62 0038 0014.26 i27 0262 0237 021I 0186 0161 0136 0iii 0087 0062. 0038 0013 27 2 8 0262 0236 021I o186 oi61 o136 o111 0086 0062 0037 ooi3 28 29 o261 0236 o211i oi85 o16o o135 o11o 0086 oo61 0037 ooi2 29 -o -i26I:O~2-3-5 o2 Io OToI85...o16o o135 0i10 0085 006I~ 0036 O0I-2 -30= 3:: o261'o235 0210 o184 oi59 oI34 o11o 0085 0o60 0036 ooI2 31 32 0260'0235 0209 oi84 o159 o134 OlO9 0084 0060 0036 OOil 32 33 0260 0234 0209 o184 o158 oi34 OlO9 0084 0060 0035 ooi1 33 34 0259 0234 0208 oi83 o158 o133 OlO8 0084 0059 0035 OOlO 34 35: 0259 0233 028o18" o158''o133 OO8- 0083 009oo-34 OOLO- 35 36 0258 0233'o2o8 o182 oi57 o132 0107 0083 0058 0034 OOiO 36 37 0258 0233 0207 o182 o157 o132 0107 oo82 0058 0034 0009 37 38, 0258 0232 0207 o18I oi56 oi31 oi07 oo82 0057 0033 ooo9 38 39 0257 0232 0206 o18I oi56 oi31 oio6 oo82 0057 -oo33 ooo8 39 40 0257 0~23i o20o6 o181 oi 56' o131 OlO6 oo81 oo57 0o32 ooo8 4o-?x~ 0256 o231 o2o5 o18o o155 oi3o oio5 oo8I 0056 oo32 0008 4I 42 0256 o2-3o o2o5 oi8o o155 oi3o OlO5 0080 0056 oo31I 0007 42 43 o255 0230 0205 oI79 o154 o129 OlO5 0080 0055 oo3I 0007 43,44 0255 0230 0204 oI79 0154 0129 0104 0080 0055 003I 0006 44 4 50255" 0229 0204 oI79 o153 0129 oi04 0079 0055 o03o-'oo'o6' 45 46 0.254 o229 0203 oI78 o153' oi28 OlO3 0079 0054 0030 0006 46 47 0254 0228 0203 oi78 o153 oi28 OlO3 0078 oo54 0029 0005 47 48 0253 0228 0202 0177 o152 oI27 OlO3 0078 0053 0029 0005 48 49 0253 0227 0202 oI77 o152 oI27 0102 0077 0053 0029 0004 49 50 0252 0227 0ao2 0176"; o15i o1-26 oo702- ~ 0077o53 0028 0004 50 51 0252 0227 0201 o i76 o151 oi26 OlOI 0077 oo52 0028 0004 51 52 o252 0226, O2Ol OI76 oi5I o126 OlOl 0076 oo52 0027 0003' 52 53 o251 0226 0200 oI75 o15o oln5 oioo 0076 oo51 0027 0003 53 54 o251 0225 0200 0175 o15o oi25 OlOO 0075 oo51 0027 0002 _54 0256 0225" 02o 00 174 oI-''-o24 OlOO 0075 -oo51 0026 0002' 55 56 o25o 0224 0199 0174 0149 0124 0099 0075 0050 oo6t 0ooo2 56 57 oa5o 0224 oi9~ 0:74 o148 o'124 0099 0074 0050 oo25. oooi 57 58 0249 0224 o19 0173 i o48 Ola3 oo98 00741oo049 o5oo, 59 o-249 0223 o198 017310148 o123 0098 0073;oo49 0025 [oooo 59, s. 20o49, 250;51,251 20521 2`53 20o54, 2055" 20o56/j2057,~ 20o8,'20o59('s Page 1601 TABLE XXIV. Of Natural Sines. Prop. 10 Prop. parts p 1~ 20 3 40 part 29 M N. sine. N. cos. N. sine. N. cos. N. sine. N. cos. N. sine. N. cos. N. sine. N. cos 2 0 00000 100000 o01745 99985 o3490 99939 05234 99863 o6976 99756 6o 2 I 00029 100000ooooo oI77A 99984 o35I9 99938 05263 9986I 07005 99754 59 2 I 2 ooo58 ioo00000 oi8o3 99984 o3548 99937 o5292 99860 07034 99752 58 2 3 ooo87 100000ooooo o01832 99983 03577 99936 o532I 99858 07063 99750 57 2 2 4 ooI I6 100000 01862 99983 o3606 99935 o535o 99857 07092 99748 56 2 2 5 ooI45 I oooO O 89I 99982 o3635 99934 05379 99855 07121 99746 55 2 3 6 ooI75 I00000 OI920 99982 o3664 99933 o5408 99854 07I50 99744 54 2 3 7 00204 IOO 00001Ig4g 9998I 03693 99932 05437 99852 07179 99742 53 2 4 8 oo00233 ooooo o978 99980 03723 9993I o5466 9985I 07208 99740 52 2 4 9 00262 oooo00000 02007 99980 03752 99930 05495 99849 07237 99738 5I 2 5 IO 0029I 100000 02036 99979 0378I 99929 05524 99847 07266 99736 50 2 5 I oo00320 99999 02065 99979 o38IO 99927 05553 99846 07295 99734 49 2 6 12 oo349 99999 02094 99978 03839 99926 o5582 99844 07324 9973I 48 2 6 13 00378 99999 02123 99977 o3868 99925 o56II 99842 07353 99729 47 2 7 I4 00407 99999 02152 99977 o3897 99924 o564o 9984I 07382 99727 46 2 7 I5 oo436 99999 02181 99976 03926 99923 05669 99839 074II 99725 45 2 8 r6 oo00465 99999 022II 99976 03955 99922 05698 99838 07440 99723 44 I 8 I7 00~~495 99999 02240 99975 o3984 99921 05727 99836 07469 9972I 43 I 9 I8 00524 99999 02269 99974 o4oi3 999I9 05756 99834 07498 997I9 42 I 9 19 oo553 99998 02298 99974 04042 999I8 05785 99833 07527 99716 4I I 10 20 00582 99998 02327 99973 0407I 99917 o58I4 9983I 07556 99714 4o I Io 2I oo6Ir 99998 02356 99972 o4Ioo 999i6 o5844 99829 07585 99712 39 I II 22 oo640 99998 02385 99972 o0429 999I5 o5873 99827 07614 997I0 38 I 11 23 oo669 99998 024I4 9997I 04I59 999I3 o5902 99826 07643 99708 37 I 12 24 oo698 99998 02443 99970 o4I88 999g 2 o5931 99824 07672 99705 36 I 12 25 00727 99997 02472 99969 o42I7 999i1 o596o 99822 07701 99703 35 I 13 26 00756 99997 o25o I3 26 00756 99997 0250o 99969 o4246 99990 05989 9982I 07730 9970I 34 I i3 27 00785 99997 o02530 99968 04275 99909 o6oi8 99819 07759 99699 33 I I4 28 oo8I4 99997 o2560 99967 o430o4 99907 06047 99817 07788 99696 32 I 14 29 oo844 99996 02589 99966 o4333 99906 o6076 99815 078I7 99694 3I I I5 30 o00873 99996 o26I8 99966 04362 99905 o6Io5 99813 07846 99692 30 I 00902 99996 02647 99965 o4391 99904 o634 9982 07875 99689 29 I I5 32 oo93I 99996 02676 99964. 04420 99902 o6163 998Io 07904 99687 28 1 i6 33 oo960 99995 02705 99963 04449 9990I 06I92 99808 07933 99685 27 I i6 34 oog89 99995 02734 99963 04478 99900 0622I 99806 07962 99683 26 I 17 35 oioi8 99995 02763 99962 04507 99898 o6250 99804 o799I 99680 25 I.17 36 oIo47 99995 02792 9996I o4536 99897 o6279 99803 o8020 99678 24 I 18 37 OIo76 99994 0282I 99960 o4565 99896 o6308 9980o o804g 99676 23 I I8 38 oi Io5 99994 02850 99959 o4594 99894 o6337 99799 8078 99673 22 I I9 39 oii34 99994 o2879 99959 04623 99893 o6366 99797 o8Io7 9967I 2I I I9 4o o0I64 99993 02908 99958 o4653 998q2 o6395 99795 o8I36 99668 20 I 20 41 o0193 99993 02938 99957 o4682 99890 06424 99793 o8i65 99666 9 I 20 42 01222 99993 02967 99956 047II 99889 o6453 99792 o8194 99664 I8 I 21 43 0125I 99992 02996 99955 o4740 99888 06482 9979o0 8223 9966I 17 I 2 1 44 oI280 99992 03025 99954 0o4769 99886 o65II 99788 o8252 99659 i6 I 22 45 oI30o9 9991 o3054 99953 o4798 99885 o6540 99786 0828i 99657 I5 I 22 46 oI338 99991 o3083 99952 04827 99883 o6569 99784 o83Io 99654 i4 o 23 47 OI367 99991 o3II2 199952 o4856 99882 o6598 99782 08339 99652 I3 o 23 48 oI396 99990 o3i4I 9995I o4885 9988I o6627 99780 o8368 99649 12 o 24 49 01425 99990 03170 999S0 04gI4 99879 o6656 99778 o8397 99647 II.0 24 50 0o454 99989 o3 99 99949 04943 99878 0o6685 99776 08426 99644 IO 0 25 5I o0483 99989 03228 99948 04972 99876 o6714 99774 o8455 9964u 9 o 2 5 52 oi5i3 99989 o3257 99947 o5ooi 99875 o6743 99772 8484 99639 8 0 26 53 o542 99988 03286 99946 o5030 99873 06773 99770 o85i3 99637 7 o 26 54 oi57I 99988 o33i6 99945 o5059 99872 06802 99768 o8542 99635 6 o 27 55 6oo 0099987 o3345 99944 o5088 99870 o683i 99766 o8571 99632 -5 o 27 56 oI629 99987 03374 99943 o5Ir7 99869 o6860 99764 o8600 99630 4 0 28 57 oi658 99986 03403 99942 o5I46 99867 06889 99762 o8629 99627 3 0 28 58 o01687 99986 o3432 99941 o5175 99866 o69I8 99760 o8658 99625 2 a 29 59 or7I6 99985 o346I 99940 o5205 99864 o6947 99758 o8687 99622 1 0 29 6o 01745 99985 03490 99939 05234 99863 06976 99756 0O716 996I9 o 0 N. cos. N. sine. N. cos. N. sine. N. cos. N. sine. N. cos.lN. sine. N. cos. N. sine. M -F 1~890 880~ 870 860 850 TABLE XXIV. IPage 161 Of Natural Sines. Prop.. parts~L~t~~' I 1 50 1 60 70 80 90 Prop. 29 M N. sine. N. cos. N. sine. N. cos. N. sine. N. cos. N. sine. N. cos. N. sine. N. cos. 4 o o 08716 99619 I0453 99452 21I87 99255 I3917 99027 I5643 98769 60 4 0 i 08745 996I7 10482 99449 12216 9925I I3946 99023 15672 98764 59 4 I 2 o8774 99614 IoSII 99446 12245 99248 I3975 99oI9 15701 98760 58 4 I 3 o88o3 996I2 Io540 99443 I2274 99244 I4004 990I 15730 98755 57 4 2 4 o883I 99609 I0569 99440 I2302 99240 I4o33 gg99oI 5758 9875I 56 4 2 5 o8860 99607 Io597 99437 I2331 99237 s4o6s 99006 I5787 98746 55 4 3 6 o08889 99604 Io626 99434 I2360 99233 40o90 99002 I5816 98741 54 4 3 7 089I8 99602 io655 99431 I2389 99230 I4119 98998 I5845 98737 53 4 4 8 o8947 91y99 io684 99428 I2418 99226 14I48 98994 15873 98732 52 3 4 9 08976 99596 I07I3 99424 12447 99222 I4I77 98990 I59o2 98728 51 3 5 Io ogoo5 99594 I0742 99421 I2476 9921I I4205 98986 I5931 98723 50 3 5 II 09034 99591 10771 99418 12504 99215 14234 98982 I5959 98718 49 3 6 12 090o63 99588 io8oo 994I5 12533 992II 14263 98978 15988 987I4 48 3 6 i3 09092 99586 Io829 99412 12562 99208 14292 98973 I6017 98709 47 3 7 14 0912I 99583 io858 99409 I2591 99204 14320 98969 I6046 98704 46 3 7 i o09150 99580 10o887 99406 I2620 99200 I14349 98965 16074 98700 45 3 8 I6 09179 99578 Io096 99402 12649 99197 I4378 9896I I6Io3 98695 44 3 8 17 09208 99575 10945 99399 I2678 99193 I4407 98957 16132 98690 43 3 9 I8 09237 99572 I0973 99396 I2706 99189 I4436 98953 i6I6o 98686 42 3 9 19 09266 99570 I1002 99393 I2735 99186 I4464 98948' I6189 98681 4I 3 10 20 o9295 99567 iio3I 99390 12764 99182 I4493 98944 I6218 98676 4o 3 IX 21 09324 99564 IIo60 99386 I2793 99178 s4522 98940 I6246'9867 39 3 II 22 09353 99562 II089 99383 I2822 99175 14551 98936 I6275 98667 38 3 II 23 09382 99559 IIII8 99380 I285I 9917I I458o 9893I i6304 98662 37 2 12 24 09411 99556 11147 99377 12880 99I67 14608 98927 i6333 98657 36 2 12 25 09440 99553 11176 99374 I2908 99I63 14637 98923 1636i 98652 35 2 I3 26 09469 9955I I1205 99370 12937 99I60 14666 98919 I6390 98648 34 2 13 27 09498 99548 11234 99367 I2966 99I56 I4695 989I4 I6419 98643 33 2 I4 28 09527 99545 11263 99364 12995 99152 I4723 98910 I6447 98638 32 2'4 29 o9556 99542 II29I 99360 I3024 99148 14752 98906 16476 98633 31 2 i5 30 o9585 99540 11320 99357 I3053 99I44 14781 98902 I6505 98629 30 2 15 3i 09614 99537 11349 99354 i3o8i 994I Is48io 98897 i6533 98624 29 2 Ii 32 09642 99534 II378 9935I I311o 99137 I4838 98893 I6562 98619 28 2 i6 33 o9671 9953I 11407 99347 13139 99133 I4867 98889 16591 98614 27 2 i6 34 09700 99528 II436 99344 i3i68 99129 14896 98884 16620 98609 26 2 17 35 09729 99526 II465 99341I 1397 99I25 I4925 98880 i6648 98604 25 2 17 36 09758 99523 1I494 99337 I3226 99122 I4954 98876 I6677 98600 24 2 18 37 09767 99520 1I523 99334 13254 99gg8 14982 9887I I6706 98595 23 2 I8 38 09816 995I7 11552 9933I I3283 99gI4 150Io 98867 I6734 98590 22 I I9 39 09845 99514 ii58o 99327 I3312 99110 5o040o 98863 I6763 98585 2I I 19 40 09874 995II 11609 99324 I3341 990o6 I5069 98858 I6792 98580 20 1 20 41 09903 99508 I1638 99320 13370 99I02 I5097 98854 682o0 98575 19 I 20 42 09932 99506 11667 99317 I3399 99098 I5i26 98849 I6849 98570 I8 I 21 43 o996i 99503 1696 99314 i3427 99094 I51i5 98845 I6878 98565 I7 I 21 44 0o9990 99500 11725 993Io0 3456 99091 I 584 9884I I6906 9856I I6 I 22 45 10019 99497 11754 99307 i3485 99087 I52I2 98836 I6935 98556 15 I 22 46 00oo48 99494 11783 99303 I35i4 99083 15241 98832 I6964 98551 14 I 23 47 100oo77 9949 II1812 99300 I3543 99079 I5270 98827 I6992 98546 13 I 23 48 Ioio6 99488 ii84o 99297 13572 99075 15299 98823 I702I 9854I I2 I 24- 49 ioi35 99485 I1869 99293 i36oo 99071 15327 988I8 I7050 98536 II I 24 50 IOI64 99482 11898 99290 I3629 99067 i5356 988I4 17078 98531 IO I 25 5 I10192 99479 11927 99286 i3658 99063 i5385 98809 I7I07 98526 9 I 25 52 10221 99476 II956 99283 I3687 99059 I54i4 98805 17136 98521 8 26 53 I0250 99473 II985 99279 I3716 99055 I5442 98800 17164 985J6 7 0 26 54 I0279 99470 12014 99276 13744 99051 T547I 98796 I7193 98511 6 o 27 55 Io3o8 99467 12043 99272 13773 99047 I5500 98791 I7222 98506 5 o 27 56 I0337 99464 12071 99269 I3802 99043 I5529 98787 I7250 98501 4 o 28 57 I0o366 99461 I21oo 99265 i3831 99039 I5557 98782 17279 98496 3 o 28 58 I0395 99458 I2129 99262 I3860 99035 I5586 98778 17308 98491 2 0 29 59 1-0424 99455 I2I58 99258 I3889 99031 15615 98773 17336 98486 I o 29 560 Io453 99452 I2187 99255 I3917 99027 i5643 98769 I7365 98481 O o N. cos. N. sine. N. cos. N. sine. N. cos. N. sine. N. cos. N. sine. N. cos. N. sine. M. 840 83~ 82" 81~ 80" ny! Page 162] TABLE XXIV. Of Natural Sines. Prop. 100 11 I 12 130 14~ parp 28M N. sine. N. cos. N. sine.N. cos. N. sine. N. cos. N. sine. N. cos. N. sine. N. cos. 6 o 0 I7365 9848I I908I 98I63 20791 97815 22495 97437 24I92 97030 60 6 o I I7393 98476 9Io09 98I57 20820 97809 22523 97430 24220 97023 5 6 I 2 17422 9847I I9138 98I52 20848 97803 22552 97424 24249 9705 5 6 I 3 17451 98466 I9167 98I46 20877 97797 22580 974I7 24277 97008 57 6 2 4 I7479 9846I I9I95 98140 20905 97791 22608 974II 24305 97001 56 6 2 5 17508 98455 I9224 98I35 20933 97784 222637 97404 24333 96994 55 6 3 6 I7537 98450 I9252 98I29 20962 97778 22665 97398 24362 96987 54 5 3 7 I7565 98445 19281 98124 20990 97772 22693 9739I 24390 96980 53 5 4 8 17594 98440 19309 98II8 2I0I9 97766 22722 97384 24418 96973 52 5 4 9 17623 98435 I9338 98112 2IO047 97760 22750 97378 24446 96966 5I 5 I5 I7651 98430 I9366 98107 21076 97754 22778 9737I 24474 96959 50 5 5 1 I7680 98425 i9395 98101 2I104 97748 22807 97365 24503 96952 49 5 6 12 I7708 98420 I9423 98096 2132 97742 22835 97358 2453I 96945 48 5 6 I3 I7737 98414 19452 98090 2II6I 97735 22863 9735I 24559 96937 47 5 7 I4 I7766 98409 I948I 98084 21I89 97723 22892 97345 24587 96930 46 5 7 I5 I7794 98404 I9509 98079 2I2I8 97723 22920 97338 246I5 96923 45 5 7 I6 I7823 98399 I9538 98073 2I246 97717 22948 9733I 24644 969I6 44 4 8 27 17852 98394 I9566 98067 2I275 97711 22977 97325 24672 96909 43 4 8 i8 17880 98389 I9595 9806r 21303 97705 23005 97318 24700 96902 42 4 9 19 I7909 98383 I9623 98056 2i331 97698 23033 9731I 24728 96894 4o 4 9 20 17937 98378 I9652 98050 21360 97692 23062 97304 24756 96887 40 4 IO 21 I7966 98373 I9680 98044 2I388 97686 23090 97298 24784 96880 39 4 I0 22 I7995 98368 19709 98039 21417 97680 23II8 9729I 24813 96873 3 4 II 23 I8023 98362 I9737 98033 2I445 97673 23I46 97284 2484I 96866 37 4 xI 24 I8052 98357 I9766 98027 2I474 97667 23I75 97278 24869 96858 36 4 12 25 I808I 98352 19794 9802I 2I502 97661 23203 9727I 24897 9685I 35 4 I2 26 I8109 98347 I9823 98016 2I530 97655 2323I 97264 24925 96844 34 3 I3 27 i8i38 9834: I985I 980I0 2I559 97648 23260 97257 24954 96837 33 3 I3 28 I8166 98336 I9880 98004 2I587 97642 23288 97251 24982 96829 32 3 I4 29 18195 9833I I9908 97998 2I6I6 97636 233I6 97244 25020 96822 3I 3 I4 30 I8224 98325 I9937 97992 2I644 97630 23345 97237 25038 96815 30 3 I4 3I 18252 98320 I9965 97987 2I672 97623 23373 97230 25066 96807 29 3 I5 32 I8281 983I5 I9994 97981 2170I 97617 2340I 97223 25094 96800 28 3 I5 33 I8309 983I0 20022 97975 2I729 976II 23429 97217 25I22 96793 27 3 6 34 8338 98304 200oo5I 97969 2I758 97604 23458 972IO 2515I 96786 26 3 I6 35 I8367 98299 20079 97963 2I786 97598 23486 97203 25179 96778 25 3 17 36 I8395 98294 20Io8 97958 21814 97592 235I4 97I96 25207 9677I 24 2 I7 37 I8424 98288' 20I36 97952 2I843 97585 23542 97I89 25235 96764 23 2 18 38 18452 98283 20I65 97946 2I87I 97579 2357I 97I82 25263 96756 22 2 i8 39 848 98277 20I93 97940 2I899 97573 23599 97I76 2529I 96749 21 2 19 4o I85og9 98272 20222 97934 21928 97566 23627 97I69 25320 96742 20 2 19 4i I8538 98267 20250 97928 21956 97560 23656 97I62 25348 96734 I9 2 20 42 I8567 9826I 20279 97922 21985 97553 23684 97I55 25376 96727 I8 2 20 43 i8595 98256 20307 97916 220I3 97547 23712 97148 25404 967I9 I7 2 21 44 I8624 98250 20336 979I0 22041 9754i 23740 97I41 25432 96712 I6 2 2I 45 i8652 98245 20364 97905 22070 97534 23769 97I34 25460 96705 15 2 21 46 i868i 98240 20393 97899 22098 97528 23797 97127 25488 96697 I4 I 22 47 187I0 98234 2042I 97893 22I26 97521 23825 97I20 255I6 96690 13 I 22 48 18738 98229 20450 97887 22155 97515 23853 97113 25545 96682 I2 I 23 49 I8767 98223 20478 97881 22I83 97508 23882 970o6 25573 96675 II I 23 5o I8795 982I8 20507 97875 22212 97502 239I0 97I00 2560I 96667 10 I 24 51 I8824 98212 20535 97869 22240 97496 23938 97093 25629 96660 9 I 24 52 I8852 98207 20563 97863 22268 9748 23966 O7C86 25657 96653 8 I 25 53 i888i 98201 20592 97857 22297 97483 23995 97079 25685 96645 7 I:5 54 I89I0 98I96 20620 9785I 22325 97476 24023 97072 257I3 96638 6 I 2-6 55 28938 98I90 20649 97845 22353 97470 2405 97065 2574I 96630 5 I 26 56 I8967 98I85 20677 97839 22382 97463 24079 97058 25769 96623 4 o 27 57 I8995 98179 20706 97833 224I0 97457 24I08 97o5I 25798 966I5 3 o 27 58 19024 98174 20734 97827 22438 97450 24I36 97044 25826 96608 2 0 28 59 I9052 98168 20763 97821 22467 97444 24I64 97037 25854 96600 I O 28 60 I9081 98I63 20791 978I5 22495 97437 24I92 97030 25882 96593 0 0 N. cos. N. sine. N. cos. N. sine. N. cos. N. sine. N. cos. N. sine. N. cos. N. sine. M 790 780 770 76~ 750 _ l.~~~~~~~~~~~~~~~~~,, _ TABLE XXIV. [Page 163 Of Natural Sines. Prop. 15~ 16 17~ 18~ 19~ Prop. partse _ 50 160 170______ _ 190_partA 27 M N. sine. N. cos. N. sine. N. cos. N. sine. N. cos. N. sine. N. cos. N. sine.N. cos. 9 o 0 25882 96593 27564 96126 29237 95630 30902 95Io6 32557 94552 6o 9 O I 259IO 96585 27592 961I8 29265 95622 30929 95097 32584 94542 59 9 I 2 25938 96578 27620 96 I0 29293 956I3 30957 95088 326I2 94533 58 9 I 3 25966 96570 27648 96z02 2932I 95605 30985 95079 32639 94523 57 9 2 4 25994 96562 27676 96094 29348 95596 3IoI2 95070 32667 945I4 56 8 2 5 26022 96555 27704 96o86 29376 95588 3Io40 9506I 32694 94504 55 8 3 6 26050 96547 2773I 96078 29404 95579 3Io68 95052 32722 i94495 54 8 3 7 26079 96540 27759 96070 29432 9557 I 31o95 95043 32749 94485 53 8 4 8 26107 96532 27787 96062 29460 95562 3I 23 95033 32777 94476 52 8 4 9 26I35 96524 27815 96054 29487 95554 3ii5i 95024 32804 94466 5i 8 5 Io 26163 96517 27843 96046 29515 95545 31178 950I5 32832 94457 50 8 5 II 26191 96509 27871 96037 29543 95536 31206 95006 32859 94447 49 7 5 I 2 262I9 96502 27899 96029 295'71 95528 3I233 94997 32887 94438 48 7 6 I3 26247 96494 27927 9602I 29599 955I9 3126I 94988 32914 94428 47 7 6 i4 26275 96486 27955 96013 29626 955 I I 31289 94979 32942 94418 46 7 7 i5 26303 96479 27983 96005 29654 95502 313i6 94970 32969 94409 45 7 7 i6 26331 96471 28011 95997 29682 95493 3i344 9496I 32997 94399 44 7 8 I7 26359 96463 28039 95989 29710 95485 31372 94952 33024 94390 43 6 8 i8 26387 96456 28067 95981 29737 95476 3I399 94943 33o5i 94380 42 6 9 19 264I5 96448 28095 95972 29765 95467 3I427 94933 33079 94370 4I 6 9 20 26443 96440 28I23 95964 29793 95459 3I454 94924 33o06 9436I 4o 6 9 21 26471 96433 28150 95956 2982I 95450 3I482 949I5 33I34 9435I 39 6 IO 22 26500 96425 28178 95948 29849 9544I 3i5io 94906 33i6i 94342 38 6 10 23 26528 964I7 28206 95940 29876 95433 31537 94897 33189 94332 37 6 II 24 26556 96410 28234 9593I 29904 95424 31565 94888 33216 94322 36 5 II 25 26584 96402 28262 95923 29932 95415 3I593 94878 33244 94313 35 5 12 26 266I2 96394 28290 959I5 29960 95407 3I620 94869 3327I 94303 34 5 12 27 26640 96386 28318 95907 29987 95398 3I648 9486o 33298 94293 33 5 13 28 26668 96379 28346 95898 3ooi5 95389 3I675 9485I 33326 94284 32 5 13 29 26696 9637I 28374 95890 30043 95380 31703 94842 33353 94274 31 5 14 30 26724 96363 28402 95882 3007I 95372 31730 94832 3338i 94264 30 5 14 3I 26752 96355 28429 95874 30098 95363 31758 94823 33408 94254 29 4 I4 32 26780 96347 28457 95865 30126 95354 3I786 94814 33436 94245 28 4 i5 33 26808 96340 28485 95857 3oi54 95345 3i8i3 94805 33463 94235 27 4 i5 34 26836 96332 28513 95849 30182 95337 3i84I 94795 33490 94225 26 4 i6 35 26864 96324 2854I 9584i 30209 95328 3i868 94786 335i8 942I5 25 4 I6 36 26892 963I6.28569 95832 30237 953I9 3I896 94777 33545 94206 24 4 17 37 26920 96308 28597 95824 30265 953io 31923 94768 33573 94I96 23 3 17 38 26948 9630I 28625 958i6 30292 9530I 3195I 94758 33600 94I86 22 3 i8 39 26976 96293 28652 95807 30320 95293 31979 94749 33627 94I76 2I 3 i8 40 27004 96285 28680 95799 30348 95284 32006 94740 33655 94167 20 3. I8 41 27032 96277 28708 9579I 30376 95275 32034 94730 33682 94157 I9 3 I9 42 27060 96269 28736 95782 30403 95266 32o6i 9472I 33710 94I47 i8 3 19 43 27088 96261 28764 95774 3043i 95257 32089 94712 33737 94137 17 3 20 44 27116 96253 28792 95766 30459 95248 321I6 94702 33764 94127 I6 2 20 45 27I44 96246 28820 95757 30486 95240 32144 94693 33792 94I18 i5 2 21 46 27172 96238 28847 95749 3o5x4 9523I 32I71 94684 33819 94I08 I4 2 21 47 27200 96230 28875 9574o 30542 95222 32I99 94674 33846 94098 I3 2 22 48 27228 96222 28903 95732 30570 95213 32227 94665 33874 94088 12 2 22 49 27256 962I4 2893I 95724 3oS97 95204 32254 94656 3390I 94078 II 2 23 50o 27284 96206 28959 957I5 30625 95195 32282 94646 33929 94068 Io 2 23 5I 273I2 96I98 28987 957o7 3o653 95 I 86 32309 94637 33956 94058 9 I 23 52 27340 9690 29o0I5 95698 30680 95177 32337 94627 33983 94049 8 I 24 53 27368 96I82 29042 9569o 30708 95I68 32364 94618 34oii 94039 7 I 24 54 27396 96I74 29070 95681 30736 95I59 32392 94609 34038 94029 6. 25' 5"5 27424 96I66 29098 95673 30763 95I5o0 324I9 94599 34065 949 5 25 56 27452 96I58 29I26 95664 30791 95I42 32447 94590 34093 94009 4 26 57 27480 96i50 29I54 95656 30819 95I33 32474 94580 34I20 93999 3 o 26 58 27508 96142 29I82 95647 30846 95I24 32502 9457I 34147 93989 2 0 27 59 27536 96I34 29209 95639 30874 95IIS 32529 94565 34175 93979 I 0 27 60o 27564 9626 29237 9563o 30902 95I06 32557 94552 34202 93969 o o N. cos. N. sine. N. eos. N. sine. N. COs. N. sine. N. cos. N. sine. N. cos.,N. sine. M 74_o 730 720 710 700 Page 164] TABLE XXIV. Of Natural Sines. Prop. 200 210 22~ 230 240 Prop. parts 200 220 230 240 parts 27 M N. sine. N. cos. N. sine. N. cos. N. sine. N. cos. N.sine. N. cos. N. sine. N. cos. 11 O 0 34202 93969 35837 93358 3746I 927I8 39073 92050 40674 9355 6o I I 0 I 34229 93959 35864 93348 37488 92707 39oo00 92039J 40700 9I[343 59 I I I 2 34257 93949 3589I 93337 375I5 92697 39I27 92028 40727 9I33 58 I 3 134284 93939 359I8 93327 37542 92686 39I53 920I6 40753 9I319 57 Io 2 4 343ii 93929 35945 933I6 37569 92675 3980 9200oo 5 40780 9I 307 56 o 2 5 34339 93919 35973 93306 37595 92664 39207 91994 4o8o6 91295 55 Io 3 6 34366 93909 36Qoo 93295 37622 92653 39234 9I982 40833 9I283 54 Io 3 7 34393 93899 36027 93285 37649 92642 39260 9I97I 4o860o 9272 53 TO 4 8 34421 93889 36o54 93274 37676 92631 39287 9I959 40886 9I260 52 Io 4 9 34448 93879 36o8i 93264 37703 92620 39314 9I948 409o3 91248 5i 9 5 Io 34475 93869 36io8 93253 37730 92609 3934I 91936 40939 9I236 50o 9 5 I 345o3 93859 36i35;93243 37757 92598 39367 9I925 40966 9I224 49 9 5 I2 34530 93849 36162 93232 37784 92587 39394 9I9I4 40992 912I2 48 9 6 13 34557 93839 36190 93222 378I I 92576 3942I 9I902 4IOI9 9I200 47 9 6 I4 34584 93829 36217 932I 37838 92565 39448 9I 89 41045 91188 46 8 7 I5 34612 938I9 36244 93201 37865 92554 39474 9I879 4I072 9II76 45 8 7 I6 34639 93809 36271 9319go 37892 92543 39501 91 868 4Io98 9I I164 44 8 8 I7 34666 93799 36298 93180 37919 92532 39528 9i856 41I I25 91 I52 43 8 8 i8 34694 93789 36325 93I69 37946 92521 39555 9I845 4Ii 5 9II40 42 8 9 I9 34721 93779 36352 93159 37973 92510 3958I 91833 4II78 9II28 4I 8 9 20 34748 93769 36379 93I48 37999 92499 39608 9I822 41204 91116 4o 7 9 2 34775 93759 364o6 93137 38026 92488 39635 9I8Io 4I23 910o4 39 7 I 22 348o3 93748 36434 93I27 38053 92477 3966I 91799 4:1257 9 092 38 7 10 23 34830 93738 3646i 93116 38o8o 92466 39688 9I787 4I284 9I080 37 7 II 24 34857 93728 36488 93106 38I07:92455 39715 9I775 4i3io 9Io68 36 7 I I 25 34884.93718 365I5 93095 38J34 92444 3974I 9I764 41337 91056 35 6 1-2 26 349I2 93708 36542 93084 38i6i 92432 39768 91752 4I363 91044 3a 6 12 27 34939 93698 36569 93074 38I88 9242I 39795 9174I 41390 91032 33 6 13 28 34966 93688 36596 93063 382I5 924IO 39822 9I729 4I4I6 9102o 32 6 I3 29 34993 93677 36623 93052 38241 92399 39848 917I8 4I443 9oo08 31 6 I4 30 3502I 93667 36650o 93042 38268 92388 39875 91706 41469 90996 3o 6 I4 3 I 35048 93657 36677 9303 38295 92377 39902 9I694 41496 90984 2l 5 14 32 35075 93647 36704 93020 38322 92366 39928 91683 4I522 90972 28 i5 33 35102 93637 3673I 930IO 38349 92355 39955 9I671 4i54 0960 27 5 I5 34 35I30 93626 36758 92999 38376 92343 39982 91660 4I57 19948 26 5 i6 35 35I57 936I6 36785 92988 38403 92332 4000oo8 91648 1I62 90936 25 5 i6 36 35i84 93606 36812 92978 38430 9232I 40035 9I636 41628 90924 24 4 I7 37 352I.I 93.596 36839 92967 38456 923I 4o0062 9I625 4i655 909I 23 4 I7 38 35239 93585 36867 92956 38483 92299 40088 916I3 4r68i 90899 22 4 I8 39 35266 93575 36894 92945 385io 92287 4oii5 9160o 41707 90887 2I 4 i8 4o 35293 93565 3692I 92935 38537 92276 40o4i 9I590 4I734 90875 20 4 i8 41 35320 93555 36948 92924 38564 92265 4o0I68 9578 41760 90863 I9 3 Ig 42 35347 93544 36975 929I3 3859I 92254 40I95 92566 41 787 9085I I8 3 I9 43 35375 93534437002 92902 38617 92243 40221 9I -55 4i8i3 90839 I7 3 20 44 35402 93524 37029 92892 38644 92231 40248 9l543 4i84o 90826 i6 3 20 45 35429 935I4 37056 9288I 38671 92220 40275 9I53I 4I866 90814 i5 3 21 46 35456 93503 37083 92870 38698 92209 4030o 9I5I19j 4I1892 90802 I4 3 21 47 35484 93493 37IO 92859 38725 9298 40328 9I508 419I9 90790 13 2 22 48 355ii 93483 37I137 92849 38752 92I86 4o355 9I496_ 4I945 90778 12 2 22 49 35538 93472 37I64 92838 38778 92175 4038I 91484 4'972 90766 I I 2 23 5o 35565 93462 37191 92827 38805 92164 404o8 91472 41998 90753 Io 2 23 5 I 35592 93452 37218 9281I6 38832 92152 140434 91461 42o024 90741 9 2 23 52 356i9 93441 37245 92805 38859 92I4I 4o46 91449 42o05I 90729 8 I 24 53 35647 9343I 37272 92794 38886 92I30 40488 91437 42077 907I7 7 I 24 54 35674193420 37299 92784 38912 92II9 405I4 91425 42I04 90704 6 I 25 55 357oc 934IO 37326 92773 38939 92107 4054i 9I4I 4 42130 90692 5| I 25 56 35728 93400 37353 92762 38966 92o96 4o0567 91402 42I56 o680 4 I 26 57 35755 93389 37380 9275I 38993 92085 40594 91390 42183 90668 3 I 26 58 35782 J 93379 37407 92740 39020 92073 40621 9I378 42209 90655 o 227 59 358io 93368 37434 92729 39o46 92062 40647 9I366 42235 90643 I o 27 6o 35837 93358 3746I 927I8 39073 92050 40674 9I355 42262 90631 o N. cos. N. sine. N. cos. N. sine. N. cos.~N. sine. N. cos- N. sine. N. cos.lN. sine. M 690 680 670~ 660 650 TABLE XXIV. [Page 165 Of Natural Sines. Prop. 250 260 270 280 290 Prop. 26 M N. sine. N. cos. N. sine. N. cos. N. sine. N. cos. N. sine. N. cos. N. sine. N. cos. 14 O O 42262 9063I 43837 89879 45399 89ioI 46947 88295 4848i 87462 60 I4 o I 42288 906I8 43863 89867 45425 890o87 46973 8828I 485o6 87448 59 14 1 2 423,I5 90606 43889 89854 4545 89074 46999 88267 48532 87434 58 I4 I 3 42341 90594 439I6 8984I 45477 8906I 47024 88254 48557 87420 57 I3 2 4 42367 90582 43942 89828 455o3 89048 47050 88240 48583 87406 56 13 2 5 42394 90569 43968 89816 45529 89035 47076 88226 486o8 8739I 55 i 3 3 6 42420 90557 43994 89803 45554 89021 47101 88213 48634 87377 54 i3 3 7 42446 90545 44020 89790 4558o 89008 47127 88I99 48659 87363 53 i 2 3 8 42473 90532 44o46 89777 45606 88995 47I53 88I85 48684 87349 52 12 4 9 42499 90520 44072 89764 45632 8898i 47178 88172 48710o 87335 5i 12 4:c 42525 90507 44098 89752 45658 88968 47204 88i58 48735 8732I 5o I 2 5 I 42552. 90495 44124 89739 45684 88955 47229 88I44 4876I 87306 49 I 5 12 42578 90483 44I5I 89726 457io 88942 47255 88I3o 48786 87292 48 I.6 13 42604 90470 44177 89713 45736 88928 4728i 88117 488ii 87278 47 11 6 14 4263 I90458 44203 89700 45762 889i5 47306 88io3 48837 87264 46 ii 7 i5 42657 90446 44229 89687 45787 88902 47332 88089 48862 8725o 45 II 7 I6 42683 90433 44255 89674 458i3 88888 47358 88075 48888 87235 44 Io 7 17 42709 90421 44281 89662 45839 88875 47383 88062 489I3 8722I 43 IO 8 i8 42736 90408 44307 89649 45865 88862 47409 88o48 48938 87207 42 Io 8 I9 42762 90396 44333 89636 4589i 88848 47434 88034 48964 87I93 4I io 9 20 42788 90383 44359 89623 459I7 88835 47460 88020 48989 87I78 40 9 9 2 I42815 90371 44385 896Io 45942 88822 47486 88oo6 49014 87I64 39 9 I 22 42841 90358 444I 89597 45968 88808 47511 87993 4904o 87I50 38 9 IO 23 42867 90o346 44437 89584 45994 88795 47537 87979 49065 87I36 37 Io 24 42894 90334 44464 89571 46020 88782 47562 87965 49090 87121 36 I~I 25 42920 90321 44490 89558 46046 88768 47588 87951 49116 87107 35 8 II 26 42946 90309 445I6 89545 46072 88755 476I4 87937 4914i 87093 34 8 I 2 27 42972 90296 44542 89532 46097 8874I 47639 87923 49I66 87079 33 8 12 28 42999 90284 44568 89519 46123 88728 47665 87909 49192 87064 32 7 13 29 43025 90271 44594 89506 46149 887I5 47690 87896 492I7 87050 3I 7 13 30 43o5i 90259 44620 89493 46175 8870I 477I6 87882 49242 87036 30 7 13 3- I 43077 90246 44646 89480 46201 88688 4774I 87868 49268 8702I 299 7 I4 32 43I04 902233 44672 89467 46226 88674 47767 87854 49293 87007 28 7 I4 33 43I3o 9022I 44698 89454 46252 8866i 47793 87840 49318 86993 27 6 i5 34 43i56 90208 44724 8944I 46278 88647 478I8 87826 49344 86978 26 6 I5 35 43I82 90o96 44750 89428 46304 88634 47844 87812 49369 86964 25 6 i6 36 43209 90I83 44776 894I5 4633o 88620 47869 87798 49394 86949 924 6 I6 37 43235 90171 44802 89402 46355 88607 47895 87784 49419 86935 23 5 I6 38 4326I 90158 44828 89389 4638i 88593 47920 87770 49445 86921 22 5 I7 39 43287 90I46 44854 89376 46407 88580 47946 87756 49470 86906 21 5 17 433I3 go90133 44880 89363 46433 88566 4797' 87743 49495 86892 20 5 I8 4I 4334o 90120 44906 89350 46458 88553 47997 87729 4952I 86878 i9 4 i8 42 43366 90108 44932 89337 46484 88539 48022 877I5 49546 86863 i8 4 19 43 43392 90095 44958 89324 465io 88526 48048 8770I 49571 86849 I7 4 19 44 434i8 90082 44984 893II 46536 88512 48073 87687 49596 86834 i6 4 20 45 43445 90070 45oio 89298 4656i 88499 48099 87673 49622 86820 i5 4 20 46 43471 oo90057 45036 89285 46587 88485 48 24 87659 49647 86805 I4 3 20 47 43497 90045 45062 89272 466I3 88472 48I5o 87645 49672 86791 13 3 21 48 43523 90032 45088 89259 46639 88458 48175 87631 49697 86777 I2 3 2 49 43549 900I9 45II4 89245 46664 88445 4820I 87617 49723 86762 II 3 22 50 43575 90007 45I4o 89232 46690 8843I 48226 87603 49748 86748 Io 2 22 5i 43602 89994 45i66 892I9 467I6 884I17 48252 87589 49773 86733 9 2 23 52 43628 89981 45192 89206 46742 88404 48277 87575 49798 867I9 8 2 23 53 43654 89968 452 I8 89I93 46767 88390o. 48303 8756I 49824 86704 7 a 23 54 4368o 89956 45243 89I80 46793 88377 48328 87546 49849 86690 6 I 24 55 43706 89943 45269 89I67 46819 88363 48354 87532 49874 86675 5 I 24 56 43733 89930 45295 89I53 46844 88349 48379 875I8 49899 8dt6I 4 25 57 43759 899I8 45321 89I40 46870 88336 484o5 87504 49924 86646 3 I 25 58 43785 89905 45347 89127 46896 88322 48430 87490 49950 86632 2 0 26 59 438ri 89892 45373 89II4 4692I 883o8 48456 87476 49975 86617 I 0 26 60 43837 89879 45399 89I0I 46947 88295 4848i 87462 500oooo 86603 o o N. cos. N. sine. N. cos.NN. sine. N. cos.NN. sine. N. cos. N. sine. N. cos. N. sine. M 640 630 620 610 600 S........ Page 166] TABLE XXIV. Of Natural Sines. Prop. 300 310 320 330 340~ paro 25 M N. sine. N. cos. N. sine. N. cos. N. sine. N. cos. N. sine. N. cos. N. sine. N. cos. 16 50000oooo 866o3 5I504 857I7 52992 84805 54464 83867 55919 82904 60 _6 o I 50025 86588 51529 85702 53017 84789 54488 8385i 55943 82887 59 I6 I 2 50o50 86573 5i554 85687 53o4I 84774 545i3 83835 55968 82871 58 T5 3 50076 86559 51579 85672 53066 84759 54537 83819 55992 82855 57 I 5 2 4 50ooi 86544 5i6o4 85657 5309I 84743 5456I 838o4 56oi6 82839 56 I 5 2 5 50126 86530 51628 85642 53 I5 84728 54586 83788 56040 82822 55 15 3 6 50I5I 865i5 5I653 85627 53I40 84712 546IO 83772 56064 82806 54 I4 3 7 50I76 865 I 51678 856I2 53i64 841 7 54635 83756 56088 82790 53 I4 3 8 50201 86486 5I703 85597 53189 8468i 54659 83740 561 2 82773 52 14 4 9 50227 8647I 51728 85582 532I4 84666 54683 83724 56I36 82757 5I I4 4 io 50252 86457 5I753 85567 53238 84650 54708 83708 56I60 82741 50 13 5 I I50277 86442 51778 8555i 53263 84635 54732 83692 56I84 82724 49 13 512 50302 86427 5i803 85536 53288 846I9 54756 83676 56208 82708 48 13 5 I3 5o327 864i3 51828 8552i 53312 84604 5478 I 8366 56232 82692 47 i3 6 4 50o352 86398 51852 85506 53337 84588 548o5 83645 56256 82675 46 I 2 6 i5 50377 86384 5I877 8549I 5336i 84573 54829 83629 56280 82659 45 I 2 7 i6 50403 86369 5I902 85476 53386 84557 54854 836i3 56305 82643 44 12 7 17 50428 86354 5 I927 8546I 534II 84542 54878 83597 56329 82626 43 II 8 8 50453 86340 5I952 85446 53435 84526 549o2' 8358I 56353 826io 42 II 8 I9 50478 86325 5I977 8543i 53460 8451I 54927 83565 56377 82593 4I Ii 8 20 50503 863io 52002 854I6 53484 84495 5495I 83549 56401 82577 40o I 9 21 50528 86295 52026 8540 535o09 84480o 54975 8-'33 56425 8256I 39 Io 9 22 50553 8628I 5205I 85385 53534 84464 54999 83517 56449 82544 38 IO Io 23 50578 86266 52076 85370 53558 84448 55024 83501 56473 82528 37 Io IO 24 50603 86251 52101 85355 53583 84433 55048 83485 56497 825II 36 IO IO 25 50628 86237 52I26 85340 53607 844I7 55072 83469 56521 82495 35 9 II 26 50654 86222 52I5I 85325 53632 84402 55097 83453 56545 82478 34 9 II 27 50679 86207 52I75 853io 53656 84386 55I21 83437 56569 82462 33 9 12 28 50704 86I92 52200 85294 5368i 84370 55145 83421 56593 82446 32 9 12 29 50729 86178 52225 85279 53705 84355 55169 83405 566I7 82429 3I 8 13 30 50754 86i63 5225o 85264 53730 84339 55194 83389 56641 82413 30 8 1 3 3I 50779 86i48 52275 85249 53754 84324 552I8 83373 56665 82396 29 8 13 32 50804 86i33 52299 85234 53779 84308 55242 83356 56689 82380 28 7 I4 33 50o829 86119 52324 85218 53804 84292 55266 8334o 567I3 82363 27 7 I4 34 50854 86io4 52349 85203 53828 84277 5529I 83324 56736 82347 26 7 15 35 50879 86089 52374 85i88 53853 84261 553i5 83308 56760 82330 25 7 i5 36 50904 86074 52399 85173 53877 84245 55339 83292 56784 823I4 24 6 I5 37 50929 86059 52423 85157 53902 8423o 55363 83276 568o8 82297 23 6 i6 38 50954 8604 5 53924484 55388 8326 56832 82281 22 6 i6 39 5Q979 86030 52473 85I27 5395I 84198 554I2 83244 56856 82264 2I 6 17 40 5ioo4 86oi5 52498 85II2 53975 84I82 55436 83228 5688o 82248 20 5 I7 4I 5I029 86000 52522 85096 54000 84167 55460 832I2 56904 8223i I9 5 I8 42 5I0o54 85985 52547 85o8I 54024 84I5i 55484 83I95 56928 822I4 i8 5 I8 43 5I079 85970 52572 85066 54049 84i35 55509 83179 56952 82 I 98 I7 5 I8 44 5IIO4 85956 52597 8505i 54073 84I20 55533 83i63 56976 8218I i6 4 19 45 5II29 8594i 5262I 85035 54097 84I0o4 55557 8347 57000 82I65 i5 4 I9 46 5ii54 85926 52646 85020 54122 84088 5558i 83131 57024 62I48 I4 4 20 47 5I179 859II 52671 85005 54i46 84072 55605 83ii5 57047 82132 13 3 20 48 5I2o04 85896 52696 84989 5417i 84057 55630 83098 5707I 8?1 1 I2 3 20 49 51229 8588i 5272o 84974 54i95 84o4i 55654 83082 57o95 820o98 i 3 21 50 51254 85866 52745 84959 54220 84025 55678 83066 57I19 82o82 Io 3 21 5i 51279 8585I 52770 84943 54244 84009 55702 83o5o 55743 82o65 9 2 22 52 5i304 85836 52794 84928 54269 83994 55726 83034 57I67 82048 8 2 22 53 5I329 8582I 528I9 849I3 54293 83978 55750 83017 57191 82032 7 2 23 54 5i354 85806 52844 84897 54317 83962 55775 83ooi 57215 82o05 6 2 23 55 5I379 85792 52869 84882 54342 83946 55799 82985 57238 81999 5 I 23 56 5I4o4 85777 52893 84866 54366 83930 55823 82969 57262 81982 4 24 57 5I429 85762 529I8 8485I 5439I 839I5 55847 82953 57286 8i965 3 24 58 5I454 85747 52943 84836 544i5 83899 55871 82936 573Io 81949 2 I 25 59 5I479 85732 52967 84820 5444o 83883 55895 82920 57334 8I932 I o 25 6o 5I504 85717 52992 84805 54464 83867 559i9 82904 57358 8I9I5 o o N. cos.|N. sine. N. cos. N.sine. N. eos. N. sine. N. os. sine. cos.. N. s. N. sine. M 590 580 570 56~0 550 TABLE XXIV. [Page 167 Of Natural Sines. parts 350 360 370 380 390 Prop. p..r.t. _ _ _ _ _ _ _ _ __ _ _ _ _ _ _ __ parts 23 M N. sine.lN. cos. N. sine. N. cos. N. sine. N. cos. N. sine.N. cos. N.sine. N. cos. 18 0 o 57358 81915 58779 80902 60o82 79864 6i566 78801 62932 777I5 6o:8 0 I 5738I 8I899 58802 80885 60205 79846 6I589 78783 62955 77696 59 I 8 1I 2 574o5 8r882 58826 80867 60228 79829 616I2 78765 62977 77678 58 r - 3 57429 8I865 58849 8o85o 60251 798I1 6I635 78747 63000 77660 57 17 2 4 57453 8I848 58873 80833 60274 79793 6I658 78729 63022 7764I 56 17 2 5 57477 8I832 588y6 8o8I6 60298 79776 6168I 7871I 63045 77623 55 17 2 6 57501 8 815 58920 80799 60321 79758 61704 78694 63068 77605 54 i6 3 7 527524 81798 58943 80782 6o344 7974 6 726 78676 63090 77586 53 1i 3 8 57548 81782 58967 80765 60367 79723 61749 78658 63II3 77568 52 16 3 9 57572 8I765 58990 807,48 60390 79706 61772 78640 63i35 77550 51 i 4 Io 57596 81748 590I4 80730 6o4I4 79688 6I795 78622 6358 77531 5o I 5 4 I I 576i9 81731 59037 80713 60437 7967 68i8 178604 63i8o 77513 49 I5 5 12 57643 8I7I4 5906 80696 60460 79653 6I84 I78586 63203 77494 48 r4 -5 I 3 57667 8I698 59084 80679 6o483 79635 6I864 78568 63225 77476 47 i4 5 I4 57691 8I68I 59io8 8o662 6o5o6 796I8 61887 78550 63248 77458 46 i4.6 I5 577I51 8664 5913I 8o644 60529 79600 61909 78532 6327I 77439 45 I4 6 16 57738 81647 59i54 80627 6o553 79583 61932 785I4 63293 77421 44 I3 7 I7 57762 8I63I 59178 806io 60576 79565 6I955 78496 633I6 77402 43 13 7 i8 57786 8i614 5920o 80593 60599 79547 61978 78478 63338 77384 42 i3 7 I9 578I0 81597 59225 80576 60622 79530 6200I1 78460 6336i 77366 4I 12 8 20 57833 8i58o 59248 80558 6o645 79512 62024 78442 63383 77347 4o 12 8 21 57857 8I563 59*2 8o54I 60668 79494 62046 78424 634o6 77329 39 I2 8 22 5788I 8i546 59295 80524 60691 79477 62069 78405 63428 77310 38 II 9 23 57904 1853o 593I8 80507 60714 79459 62092 78387 6345I 77292 37 II 9 24 57928 815I3 59342 80489 60738 7944I 62II5 78369 63473 77273 36 II Io 25 57952 81496 59365 830472 6076I 79424 62138 i7835I 63496 77255 35 I 10 26 57976 81479 59389 80455 60784 79406 62I60 78333 635I8 77236 34 Io 10 27 57999 8I462 594I2 80438 60807 79388 62I83 783I5 63540 77218 33 Io II 28 58023 8I445 59436 80420 60830 7937I 62206 78297 63563 77I99 32 I0 II 29 58047 8I428 59459 8o4o3 60853 79353 62229 78279 63585 7718I 3i 9 12 3o 58070 8I412 59482 8o386 60876 79335 62251 78261 636o8 77162 3o 9 12 3I 58094 813.95 59506 80368 60899 7938 62274 78243 63630 77I44 29 9 I2 32 58ir8 8I378 59529 8o35i 60922 79300 62297 78225 63653 77I25 28 8 13 33 58I4i 8i36 i 59552 8o334 60945 79282 62320 78206 63675 77107 27 8 i3 34 58I65 8I344 59576 803I6 60968 79264 62342 78I88 63698 77088 26 8 I3 35 58189 8I32.7 59599 80299 6099I 79247 62365 78170 63720 77070 25 8 I4 36 58212 8I3io 59622 80282 6Ioi5 79229 62388 78I52 63742 77051 24 7 I4 37 58236 8I293 59646 80264 6Io38 792 62411 78I34 63765 77033 23 7 i5 38 58260 8I276 59669 80247 6Io6I 79I93 62433 78116 63787 77014 22 7 I5 3i 58283 8I259 59693 80230 6I0o84 79176 62456 78o098 638Io 76996 2 I 6 15 4o 58307 81242 597I6 80oaI2 6IIo 7 79I58 62479 78079 63832 76977 20 6 i6 4I 58330o 8I225 59739 80i195 6ii3o0 79140 62502 7806I 63854 76959 19 6 I6 42 58354 81208 59763 80I78 61153 79122 62524 78043 63877 76940 I8 5 I-6 1431 58378 8Ii91 59786 8o060 6II76 79o05 62547 78025 63899 7692I I7 5 I7 44 584oi 8I174 59809 8oi43 6II99 79087 62570 78007 63922 76g903 16 5 I7 45 5842 5 81157 59832 80I25 61222.79069 62592 77988 63944 76884 i5 5 i8 46 58449 8i,40 59856 8oio8 61245 7905I 62615 77970 63966 76866 14 4 i8 47 58472 8II23 59879 8oo09 6I268 79033 62638 77952 63989 76847 13 4 I8 48 58496 8 Io6 59902 80073 6I291 79016 62660 77934 640o I 76828 I2 4 195 49 58591 8I089 59926 8oo0056 634 78998 62683 779I6 64o33 75681 II 3 I9 50 58543 81072 59949 8oo38 6I337 78980 62706 77897 64o56 76791 10 3 20 5I 58567 8io55 59972 8002I 6I360 78962 62728 77879 64078 76772 9 3 lo 52 5859o 8io38 59995 8ooo3 6i383 78944 6275I 7786i 64ioo 76754 8 2 2o 53 586I4 8I02o 6doI9 79986 6I40o6 78926 62774 77843 64I23 76735 7 2 2I 54 58637 8Ioo4 60042 79968 61429 78908 62796 77824f 64I45 76717 6 2 2 55 5866 80987 6oo0065 7995I 6I451 78891 626e9 77806 64I67 76698 5 2 21 56 58684 80970 60089 79934 6I474 78873 62842 77788 6490 76679 4 22 57 58708 80953 60II2 799I6 6r497 78855 ()2864 77769 64212 7666I 3 I 22 58 5873I 80936 6oi35 79899 6I 520 78837 62887 7775 64234 76642 2 I 23 59 58755 80919 6o058 7988I 6I543 788I9 62909 77733 64256 76623 I o 23 60 58779 8090o2 6082 79864 6i566 7880 I 62932 777I5 64279 76604 0 0 N. cos. N. sine. N. cos.lN. sine.. cos. N. sine. N. cos. N. sine. N. cos. N. sine. M _ 540 53~ 520 510 500 .Page 168] TABLE XXIV. Of Natural Sines. Prop. 400 410 420 430 — 440 Prop. 22 iM N. sine. NN. cos. N. sine. N. cos. N. sine. N. cos. N. sine. N. cos. N. sine. N. cos. 19 o 0 64279 76604 65606 7547I 669I3 743I4 68o200 73135 69466 7I934 60 19 0 I 643oi 76586 65628 75452 66935 74295 6822I 73II6 69487 71914 59 I9 I 2 64323 76567 65650 75433 66956 74276 68242 73096 69508 71894 58 I 3 64346 76548 65672 75414 66978 74256 68264 73076 69529 7I873 57 I8 4 64368 176530 65694 75395 66999 74237 68285 73056 69549 71853 56 i8 2 5 64390 76511 65716 75375 67021I 74217 68306 73036 69570 71833 55 17 2 6 644I2 76492 65738 75356 67043 74I98 68327 730I6 6959I 7I8I3 54 I7 3 7- 64435 76473 65759 75337 67064 74178 68349 72996 69612 71792 53 I7 3 8 64457 76455 6578I 753I8 67086 74159 68370 72976 69633 71772 52 I6 3 9 64479 76436 65803 75299 67107 74139 6839I 72957 69654 71752 5i 16 4 io 64501 76417 65825 75280 67129 74120 68412 72937 69675 71732 50 16 4 II 64524 76398 65847 7526I 67151 74100 68434 7291 I7 69696 7171I 49 i6 4 I2 64546 76380 65869 7524I 67172 74080 68455 72897 697I7 7I69I 48 I5S 5 I3 64568 76361 65891 75222 67I94 74o6I 68476 72877 69737 7167I 47 I5 5 I4 64590 76342 659I3 75203 672I5 7404I 68497 72857 69758 7I650 46 I5 6 i5 646I2 76323 65935 75184 67237 74022 685i8 72837 69779 71630 45 I4 6 i6 64635 76304 65956 75I65 67258 74002 68539 728I7 69800 71610 44 I4 6 17 64657 76286 65978 75I46 67280 73983 6856I 72797 69821.71590 43 14 7 i8 64679 76267 66000 75126 67301 73963 68582 72777 69842 7J569 42 I3 7 I9 6470I 76248 66022 75I07 67323 73944 686o3 72757 69862 7I549 41 i3 7 20 64723 76229 66044 75088 67344 73924 68624 72737 69883 7I529 40 13 8 21 64746 762Io 66066 75069 67366 73904 68645 72717 69904 71508 39 I2 8 22 64768 76I92 66088 75050 67387 73885 68666 72697 69925 71488 38 I2 8 23 64790 76173 66109 75030 67409 73865 68688 72677 69946 71468 37 12 9 24 648I2 76154 66i3I 75011 67430 73846 68709 72657 69966 71447 36 II 9 25 64834 76135 66I53 74992 67452 73826 68730 72637 69987 7I427 35 II Io 26 64856 76I16 66175 74973 67473 73806 6875I 72617 7ooo0008 7407 34 II 10 27 64878 76097 66I97 74953 67495 73787 68772 72597 70029 7I386 33 Io Io 28 64901 76078 662I8 74934 67516 73767 68793 72577 70049 71366 32 Io II 29 64923 76059 66240 74915 67538 73747 688I4 72557 70070 7I345 31 Io ii 3o 64945 7604I 66262 74896 67559 73728 68835 72537 7009I 71325 30 Io ii 3i 64967 76022 66284 74876 67580 73708 68857 72517 70112 71305 29 9 12 32 64989 76003 66306 74857 67602 73688 68878 72497 70o32 71284 28 9 I2 33 65oiI 75984 66327 74838 67623 73669 68899 72477 70153 7I264 27 9 I2 34 65033 75965 66349 74818 67645 73649 68920 72457 70174 71243 26 8 I3 35 65055 75946 66371 74799 67666 73629 68941 72437 70I95 71223 25 8 I3 36 65077 75927 66393 74780 67688 738 10 68962 724 7 70215 71203 24 8 I4 37 65I00 75908 664I4 74760 67709 73590 68983 72397 70236 71182 23 7 I4 38 65122 75889 66436 7474I 67730 73570 69004 72377 70257 7I162 22 7 14 39. 65I44 7587o 66458 74722 67752 7355I 69o25 72357 70277 7114I 21 7 i5 4o 65I66 7585I 66480 74703 67773 7353i 69o46 72337 70298 71121 20 6 I5 4i 65I88 75832 6650I 74683 67795 73511 69067 72317 70319 711o00 9 6 I5 42 652o 075813 66523 74664 67816 7349I 69088 72297 70339 710o80 8 6 I6 43 65232 75794 66545 74644 67837 73472 69109 72277 70360 7o059 17 5 I6 44 65254 75775 66566 74625 67859 73452 693-0 72257 70381 71039 i6 5 17 45 65276 75756 66588 74606 67880 73432 69j5I 72236 70401 71019 I5 5 17 46 65298 75738 666Io 74586 67901 734I3 69172 72216 70422 70998 14 4 17 47 65320o 757I9 66632 74567 67923 73393 69I93 72I96 70443 70978 I3 4 T8 48 65342 75700 66653 74548 67944 73373 69214 72176 70463 70957 I2 4 i8 49 65364 75680 66675 74528 67965 73353 69235 72I56 70484 70937 II 3 i8 50 65386 7566I 66697 74509 67987 73333 69256 72I36 70505 70916 Io 3 I9 5I 65408 75642 667I8 74489 68008 733I4 69277 72II6 70525 70896 9 3 I9 52 65430 75623 66740 74470 68029 73294 69298 72095 70546 7o875 8 3 I9 53 65452 75604 66762 7445i 68o5I 73274 69319 72075 70567 70855 7 2 23 54 65474 75585 66783 74431 68072 73254 69340 72055 70587 70834 6 2 20 5 65496 75566 66805 74412 68093 73234 69361 72035 7o6o8 708I3 5 2 21 56 655 8 75547 66827 74392 68 5 73215 69382 720o5 70628 70793 4 21 57.65540 75528 66848 74373 68i36: 7395 69403 71995 70649 70772 3 I 21 58 65562 75509 66870 74353 68157 73I75 69424 7I974 70670 70752 2 I 22 59 65584 75490 66891 74334 68179 7355 69445 7I954 70690 7073 I 0 22'6o 65606 7547I 66913 74314 68200 73I35 69466 71934 70711 70711 0 0 N. cos.jN. sine. N. cos.-N. sine. _N. cos.N. sine. N. cos.N. sine. N. cos. N. sine. M 490 48 470- 460 450 [Papg 169 TABLE XXV. Of Logarithmic Sines, Tangents, and Secants to every Point and Quarter Point of the Compass. Points. Sine. Co-sine. Tangent. Co-tang. Secant. Co-secant. o Inf. neg. Io.ooooo Inf. neg. Infinite. I0.00000 Infinite. 8 0 4i 8.69080 9.99948 8.69132 II.3o868 10.00052 II.30920 7 4 0 O 8.99I30 9-99790 8.99340 II.oo660 10.002IO II.00870 7 0 4 9.I6652 j 9.99527 9.I7125 I0.82875 10.00473 io.83348 7 4 I 9.29024 9.99I57 9.29866 I0.70134 o.oo00843 I0.70976 7 I 4 9.38557 9.98679 9.39879 10.60121 IO.OI32I io.6i443 6 4 I ~ 9.46282 9.98088 9.48194 io.5i806 I0.019I2 10.53718 6 1 I 9.52749 9.97384 9.55365 o0.44635 IO.02616 IO.4725I 6 4 2 9.58284 9.96562 9.61722 10.38278 io.03438 10.41716 6 |2 i 9.63099 9.956I6 9.67483 10.325I7 IO.o4384 10.36901 5 4 2 A 9.67339 9.94543 9.72796 10.27204 IO.05457 10.3266I 5 j 2 4 9:7II05 9.93335 9.77770 IO.22230 Io.o66665 I0.28895 5 4 3 9.74474 9.9I985 9.82489 10.175II io.08oi5 10.25526 5 3 4 9-77503 9.90483 9.87020 IO.12980 IO.095I7 10.22497 4 4 3; 9.80236 9.88819 9.91417 io.o8583 o10.118i IO.19764 4. 3 1 9.82708 9.86979 9.95729 IO.0427I 10.13021 10.17292 4 4 9.84949 9.84949 0I.00000 10.00000 io.i5o5i io.i5o5i 4 Co-sine. Sine. Co-tang. Tangent. Co-secant. Secant. Points. TABLE XXVI. Logarithms of Numbers. No. 1 —100. Log. 0.00000 2 —--—.00000. No. Log. No. Log. No. Log. No. Log. No. Log. I 0.00000 21 1.32222 4I 1.61278 6I 1.78533 8i 1.90849 2' o.3oio3 22 1.34242 42 1.62325 62 1.79239 82 1.91381 3 0o477'12 23 1.36173 43 I.63347 63 I.79934 83 I.9I908 4 0.60206 24 1.38021 44 i.64345 64 i.8o6i8 84 1.92428 5 o.69897 25 I.39794 45 1.65321 65 I.8I29I 85 I.92942 6 0.77815 26 1.41497 46 1I.66276 66 1.81954 86 1.93450 7 o.845io 27 I.43i36 47 I.67210 67 I.82607 87 I.93952 8 -0o.go309 28 1.447I6 48 1.68I24 68 1.83251 88 1.94448 9 o.95424 29 I.46240 49 I.69020 69 I.83885 89 1.94939 io I.ooooo 30 I.477I2 5o 1.69897 70 I.845io 90 I.95424 II I.04i39 31 1.49I36 5i 1.70757 71 I.85I26 91 i.95904 I2 1.07918 32 i. 5o5 I5 52 1.71600 -72 1.85733 92 1. 96379 I3 I. 11394 33 i.5I851 i 53 1.72428 73 I.86332 93 1. 96848 i4 i.i46I3 34 1.53I48 54 1.73239 74 I.86923 94 1.973I3 I5 I.17609 35 1.54407 55 1.74036 75 1.87506 95 1-97772 i6 1.20412 36 I.5563o 56 I.74819 76 I.88o08 96 I.98227 17 I.23045 37 1.56820 57 1.75587 77 1.88649 97 i.98677 I8' 1.25527 38 1.57978 58 I.76343 78 1.89209 98 1.99123 19 I.27875 39 1.59i06 59 1.77085 79 i.89763 99 I.99564 20 i.3oio3 40 1.60206 60o I.77815 I 80 I1.90309 I00 2.00000 22 Page 170] TABLE XXVI. Logarithms of Numbers. No. 100- 1600. Log. 00000 20412. No. 0 1 2 3 4 5 6 7 8 9 I00 000000 ooo43 ooo87 oo I 30 00173 0027 o0026 oo3o3 oo346 oo00389 43 42 0I oo00432 00475 oo58 oo56 oo604 00oo647 oo68 oo00732 00775 oo8I-7 _ 102 oo86o oo9o3 oo0 45 00988 I o30o 01072 OI OI157 01199 01242 I4 lo3 01284 01326 o0168 oI4Io OI452 oi494 oi536 01578 01620 OI662 3 3 io4 OI703 OI745 OI787 01828 01870 01912 o1953 01995 02036 o2078 4 I1 17 io5 02119 02160 02202 02243 02284 02325 o2366 02407 02449 024go 5 22 2[ io6 02531 02572 026I2 02653 02694 02735 o2776 o 2816 o2857 02898 6 26 25 I07 02938 02979 o30Ig 0o3060 o3Ioo o3I4i o3i8I 03222 03262 03302 7 30 29 io8 o3342 03383 03423 o3463 o3503 o3543 o3583 03623 o3663 03703 8 34 34 Io9 03743 03782 o3822 03862 03902 03941 03981 04021 0o460o o4Io 9 39 38 11o 04139 04I79 8 421 258 04297 o4336 o4376 04415 o4454 o4493 41 40 III 04532 04571 o46io o4650 04689 o4727 04766 o48o5 o4844 o4883 112 04922 o4961 04999 o5038 05077 o5ii5 o5I.54 o5192 05231 05269 I 4 4 113 o53o8 o5346 o5385 05423 05461 05500 o5538 05576 o56I4 o5652 2 8 8 114 o56go90 05729 05767 o5805 o5843 0588I 05918 05956 o5994 o6032 3 I2 12'i 5 o6070 o6io8 0o645 o6i83 06221 06258 o6296 o6333 o6371 o6408 5 26 I6 116 06446 o6483 o652i o6558 06595 o6633 06670 06707 06744 06781 6 25 24 117 o6819 o6856 o6893 o6930 06967 07004 07041 07078 07115 07151 I 24 I18 0788 o07225 07262 07298 07335 07372 07408 07445 07482 075I8 83 32 II9 07555 0759I 07628 07664 07700 07737 07773 07809 07846 o07882 37 36 I20 07918 07954 07990 08027 o8063 o8o99 o8i35 o0817I 08207 08243 121 08279 o83i4 o8350 o8386 o8422 o8458 o8493 o8529 o8565 o8600 39 38 122 o8636 08672 08707 08743 o8778 o88i4 08849 o8884 o8920 8955 I 4 I23 08991 o9026 go61 0o9096 09132 09167 09202 09237 09272 o09307 2 8 8 124 09342 09377 094I2 09447 09482 095I7 09552 09587 09621 o9656 3 I2 11 I25 09691 09726 09760 09795 09830 o9864 o9899 o gg9934 o9968 Ioo0003 4 6 5 126 IOO137 10072 IOIo6 10140 10175 10209 10243 10278 10312 o10346 5 20 19 I27 io38o I04I5 10449 o10483 I05I7 io55I Io585 1I6I9 io653 1o687 6 23 23 I29 I1059 11093 1II26 xI60o II193 II1227 II26I II294 II27 II36I 8 3i 30 I30 I11394 11428 ii46I 11494 11528 II56I 11594 II628 ii66I II694 9 3 131 11727 11760 11793 11826 ii860 11893 11926 11959 I1992 I2024 37 3(; I32 12057 12090 12123 I2156 12189 12222 I2254 12287 12320 12352 i33 12385 I24I8 12450 12483 I2516 12548 I258I 126I3 12646 I2678 I 4 4 134 127IO i 2743 I2775 I2808 I2840 12872 12905 I2937' 12969 1300I 2 7 7 135 I3o33 I3066 I3098 I3i3o I3I62 13I94 I3226 13258 I3290 13322 4 I5 I4 136 i3354 i3386 i34i8 i345o I3481 i35I3 i3545 13577 I36o9 i3640 5 19 i8 137 13672 13704 I3735 I3767 13799 13830 I3862 113893 13925 13956 6 22 22 i38 I39a8 i40o9 I405i 14082 14114 I4i45 I4I76 14208.14239 14270 7 26 25 I39 i4301 14333 I4364 I4395 I4426 I4457 I4489 14520 I455i 14582 8 3o 29 4o0 I4613 14644 14675 14706 I4737 14768 I4799 I4829 I486o 1489i 9 33 32 I41 I4922 I4953 I4983 I5oi4 i5045 15076 I5Io6 15137 i5i68 I5I98 35 34 I42 I5229 15259 I5290 15320 15351 i5381 I5412 15442' I5473 i5503 i43 I5534 i5564 15594 I5625 I5655 i5685 I5715 15746 1577615806 I 4 3 144 i5836 I5866 I5897 I5927 15957 15987 I60I7 1I6047 16077 16107 2 7 7 I45 I6137 I6167 16197 16227 16256 16286 i63i6 I6346 I6376 I64o6 4 I4 II 46; I6435 16465 I6495 16524 i6554 i6584 i66i3 i6643 I6673 i6702 5 i8 17 147 i6732 16761 16791 I6820 i6850 16879 I6909116938 16967 16997 6 21 20 4i3 I17026 17056 I7085 I7114 17I43 17I73 I7202 I7231 17260 17289 25 24 149 17319 17348 1I7377 I7406 17435 17464 I7493 17522 I755I 17580 28 27 1i50 I76o9 17638 17667 I7696 I7725 17754 I7782 1781 I784 178 69 9 32 31 I5I I7898 17926 I7955 17984 80o3 i80o4i 18070 18099 18127 81656 152 18I84 I8213 I8241 I8270 I8298 18327 i8355 i8384 18412 i844i 33 32 153 18469 18498 I8526 I8554 i8583 i8611 18639 18667 1869618724I 3 3 i54 18752 18780 i8808 18837 I8865 18893 I8921 18949 I8977 19005 2 7 6 I55 19033 19061 19089 I9117 I9145 19173 19201 I9229 I9257 19285 3 IO IO I56 19312 I9340 I9368 I9396 I9424 1945I 19479 i9507 I9535 19562 4 13 13 I57 I9590 I96I8 I9645 I9673 19700 19728 19756 I19783 19811 19838 5 17 i6 I58 19866 19893 19921 19948 19976 20003 20030 20058 20085 20112 6 20 19 159 20140 20167 20194 20222 20249 20276 20303 20330 20358 20385 7 23 22'No. 1 2 3 4 5 6 7 8oo o3o8 26 26 No. 0 1. 3' 4 5 6.9 TABLE XXVI. [Page 171 Logarithms of Numbers. No. 1600 —-22 —-00. Log. 20412- 34242. No. 0 1 2 3 4 5 6 7 8 9 -I6 20412 0439 2o4661 2o493 2o520 2o 548 20575 20602 20629 20656 31130 x6i 20683 20710 20737 20763 20790 20817 20844 20871 20898 20925 " 3 3162 20952 20978 210oo5 21032 21059 21085 2II2:2139 2ii65 2II92 2 6 6 I63 21219 21245 21272 21299 21325 21352 2i378 214o5 2143I 2458 9 I64 21484 21511 21537 21564 2I590 21617 21643 21669 21696 21722 4 12 I2 i65 21748 21775 21801 21827 2I854 21880 2190621932 2i958 21985 5 i6 i5 i66 22011 2037 22063 22089 2215 22141 22167 22194 22220 22246 6 19 18 i67 22272 22298 22324 22350 22376 22401 22427 22453 22479 22505 7 22 21 i68 22531 22557 22583 22608 22634 22660 22686 22712 22737 22763 8 25 24 169 22789 22814 22840 22866 22891 22917 22943 22968 22994 230o. 9, 28127 170 23045 23070 23096 2312I 23147 23172 23198 23223 23249 23274 29 28 171 23300 23325 23350 23376 2340I 23426 23452 23477 23502 23528 I72 23553 23578 23603 23629 23654 23679 23704 23729 23754 23779 63 3 173 23805 23830 23855 23880 23905 23930 23955 23980 24005 240302 6 174 240o55 24080 24Io05 24130 2415512418o 24204 24229 24254 24279 8 4 12 II 175 -24304 24329 24353 24378 24403 24428 24452 24477 24502 24527 5 14 176 24551 24576 2460oi 24625 2465o 24674 24699 24724 24748 24773 6 17 17 177 24797 24822 24846 24871 24895 24920 24944 24969 24993 25018 7 20. 20 178 25042 25066 25091 25115 25139 2,5164 25188 252I2 25237 25261 8 23 22 179 25285 253IO 25334 25358 25382 25406 25431 25455 25479 25503 9 26 25 18o 25527 25551 255751 25600o 256 24 25648 25672 25696 25720 25744 27 26 i8i 25768 25792 25816 25840 25864 25888 259I2 25935 25959 25983 I82 260o7l63 182 26007 26o31 26055 26079 26102 26126 2615o 26174 26198 26221 3 3 i83 26245 26269 26293 26316 26340 26364 263871264I1 26435 26458 2 5 5 i184 26482 26505 26529 26553 26576 26600 26623 26647 26670 26694 3 8 8 r85 267726741 26764 26788 26811 26834 26858 2688I 26905 26928 14 x3 i86 26951 26975 26998 27o2i 27045 27068 27091 27II4 27138 27161 I87 27184 27207 27231 27254 27277 27300 27323 27346 27370 27393 6i6 i6 188 27416 27439 27462 27485 27508 27531 27554 27577 27600 27623 7 19 18 189 27646 27669 27692 27715 27738 27761 27784 27807 27830127852 8 22 21' 24 23 190 27875 27898 2792I 27944 27967 27989 28oI2 28035 28058 280o8I 191 281o3 28126 28149 2817I 28194 28217 28240 28262 28285 28307 25 24 192 28330 28353 28375 28398 28421 28443 28466128488 28511 28533 j 193 28556 28578 2860o 28623 28646 28668 28691 28713 28735 28758 2 5 5'94 28780 28803 28825 28847 28870 28892 28914 28937 28959128981 3 8 195 29003 29026 29048 29070 29092 2915 29137 29159 29181 29203 4 lo io 196 29226 29248 29270 29292 29314 29336 29358 29380 29403 29425 5 I3 12 197 j29447 29469 29491 29513 29535 29557 29579 2960I 29623 29645 6 i5 14 198 29667 29688 29710 29732 29754 29776 29798 29820 29842 29863 7 i8 17 199 29885 29907 29929 2995I 29973 29994 3ooi6 3oo0038 30oo60 3oo008i 8 20 19 200 3oio3 3o125 3oi46 3oi68 30o90 3021I 30233 30255 30276 30298 9 23 22 2o0 30320 3o34i 3o36313o384 3o4o6 30428 30449 30471 30492.3o5i4 23.22 202 3o535 3o557 3o578 3o6oo 30621 3o643 30664 3o685' 30707 30728 2o3 3o75o 30771 30792 3o8i4 3o835 3o856 308781 30899 3092o 30942 I 2 2 204 30963 30984 3ioo6 3o1027 3io48 3I069 3og91 3Iii2 31ii33 3ii54 2 5 4 377 205 3117S 31197 31218 31239 3 126 3281 31302 31323 3i345 3z366 q 7 206 31387 3i4o8 31429 3i45o 31471 31492 3i5i3 3534 3i555 3i576 5 12 Ii o207 3i597 3i6i8 31639 3i66o 3i68I 31702 31723 31744 31765 3i785 6 I4 13 2o8 3i8o6 3i827 3i848 31869 31890 31igi 31931 31952 31973 31994 7 6ii5 2og 32o15 32o35 32o56 32077 32098 32118 32139 3,160 32181 32201o i8, I8 21o 32222 32243 32263 32284 323o5 32325 32346 32366 32387 32408 9 21190 211 32428 32449 32469~ 32490 325Io 32531 32552 32572 32593 32613 212 32634 32654 32675 32695 32715 32736 32756 132777 32797 32818 2.1 20 213 32838 32858 32879 32899 32919 32940 32960 32980 33ooi 33021 I 2 2 2I4 330o4r 33062 33082 33102 33122 33i43 33163 33:83 33203133224 2 4 4 21I5 33244 33264 33284 333o4 33325 33345 33365 33385 33405 33425 3 6 6 216 33445 33465 33486 33506 33526. 33546 33566 33586 336o6133626 4 8 8 217 33646 33666 33686 33706 33726 33746 33766 33786 338o6 33826 5 "'c ~I8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 33846 218 33846 33866 33885 33905 33925 33945 33965 33985 34oo005 34025 6 13 12 29 34o44 34o064 34084 34io4' 34'I24 34143 34i63 34183 34203 34223 7 5 14 8 17 16 No. 0:1 2 3 4 5 6 7 8 9 919,18 Page 172] TABLE XXVI. Logarithms of Numbers. No. 2200 &-2800. Log. 34242 —-— 44716. No. 0 1 2 3 4 5 6 7 8 9 220 134242 34262 34282 3430I 34321 3434 3436I 3438o 344o00o 3442 20 22I 34439 34459 34479 34498 345 8 34537 34557 34577 34596 346'I 6 7 _ 222 34635 34655 34674 34694 34713 34733 34753 34772 34792 348i 2 4 223 3483o 34850 34869 34889 34908 34928 34947 34967 34986 350o5 3 6 224 35025 35o44 35o64 35o83 35102 3522 35i4i 35i60 35 80 35 99 4 8 225 35218 35238 35257 35276 35295 3535 35334 353533 35372 35392 5 I0 2.26. 354i i 3543o 35449 35468 35488 35507 35526 3'5545 35564 3558'3 6 1 227 35603 35622 3564I 35660 35679 35698 535 7 35755 35736 74 7 4 228 35793 358i3 35832 3585i 35870 35889 39go8 35927 35946 35965 8 i6 229 35984 36oo003 3602 36o4o 36059 3678 36097 36iI6 36i35 36i54 9 1 23o 36173 36!92 3621 36229 36248 36267 36286 363o5 36324 36342 19 231 3636I 36380 36399 36418 36436 36455 36474 36493 365ii.36530 -- 232 36549 36568 36586 366o5 36624 36642 3666i 3668o 36698 36 I7 I 233 36736 36754 36773 36791 368Io 36829 36847 36866 36884 36903 234 36922 36940 36959 36977 36996 370I4 37033 37051 37070 37088 4 8 235 37107 37I25 37144 37I62 37181 37I99 372I8 37236 37254 37273 5 I0 236 3729I 373Io 37328 37346 37365 37383 37401 37420 J37438 37457 6 ii 237 37475 37493 37511 37530 37548 37566 37585 376o3 3j62I 37639 7 13 238 37658 37676 37694 377I2 37731 37749 37767 37785 37803 37822 8 I5 239 37840 37858 37876 37894 37912 3793 37949 37967 37985 38oo3 9 17 240 38021 38039 38057 38075 38093 38II-2 3830o 38I48 38J66 38I84 24I 38202 38220 38238 38256 38274 38292 383I0o 38328 38346 38364 _8 242 38382 38399 384I7 38435 38453 3847I 38489 38507 38525 38543 1 2 243 3856i 38578 38596 386i4 38632 3865o 38668 38686 38703 38721 2 4 244 38739 38757 38775 38792 388io 38828 38846 38863 3888i 38899 3 5 245 389I7 38934 38952 38970 38987 39oo5 39023 3904I 39058 39076 4 7 246 39094 3943 39I29 39146 39I64 39-82' 39i99 39217 39235 39252 6 9 247 39270 39287 39305 39322 39340 39358 39375 39393 394i0 39428 6 248 39445 39463 39480 39498 39515 39533 39550 39568 39585 39602 71 249 39620 39637 39655 39672 39690 39707 39724 39742 39759 39777 8 I4 250 39794 3981I 39829 39846 39863 3988 39898 3995 39933 39950 9 25I 39967 39985 40002 40019 40037 4oo54 40071 4oo88 40oo6 40123 17 252 4oi4o0 4057 40175 40192 40209 40226 40243 4026I 40278 40295 1 2 253 403I2 40329 40346 40364 4038i 40398 4o4I5 40432 40449 4o466 2 3 254 4o483 4o5oo 4o5i8 4o535 40o552 40569 4o586 4o6o3 40620 40637 3 5 255 4o654 40671 40688 40705 40722 40739 40756 40773 40790 40807 4 7 256 40824 4o84i 4o0858 40875 40892 40909 40926 40943 40960 40976 5 9 257 40993 4Ioio 4I027 4I0o44 4Io6I 4Io78 41095 4I III 4II28 4ii45 6 Io 258 4IJ62 4II79 41196 4I2I2 4I229 41246' 4I263 4I280 4I296 4I3I3 7 12 259 4i33o 41347 4I363 4I380 41397 41414 4i430 41447 4I464 4I48I 8 I4 260 41497 4I5I4/ I53I 4I547 4I564 4i58i 4I597 4I6I4 4I63I 4I647 9 I5 261 4I664 4I68I 4I697 41714 4173I 41747 4I764 41780 4I797 4I8I4 16 262 4I83o 4I847 4i863 4i88o 4I896 41913 4I929 41946 4I963 4I979 263 4I996 420I2 42029 42045 42062 42078 42095 42III 42127 42I44 1 2 264 42160 42177 42I93 42210 422.26 42243 42259 42275 42292 42308 2 3 265 42325 42341 42357 42374 42390 42406 42423 42439 42455 42472 4 6 266 42488 42504 4252I 42537 42553 42570 42586 42602 426I9 42635 5 8 267 42651 42667 42684 42700 42716 42732 42749 42765 42781 4277 6 10o 268 42813 42830 42846 42862 42878 42894 42911 42927 42943 42959 7I 269 42975 4299I 43oo8 43024 43040 43o56 43072 43088 43io4 43120 8 i3 270 43I36 43I52 43169 43I85 4320I 432I7 43233 43249 43265 4328I 9 i4 271 43297 433i3 43329 43345 4336i 43377 43393 43409 43425 4344i 272 43457 43473 43489 435o5 43521 43537 43553 43569 43584 43600 15 273 436I6 43632 43648 43664 43680 43696 43712 43727 43743 43759 2: 274 43775 43791 43807 43823 43838 43854 438701 43886 43902 43917 2 3 275 43933 43949 43965 43981 43996 440I2 44028 44044 44059 44075 3 5 276 44091 44107 44122 44I38 44154 44I70 44I85 4420I 4421I7 44232 4 6 277 44248 44264 44279 44295 443ii 44326 44342 44358 44373 44389 5 8 278 44404 44420.44436 4445k 44467 44483 44498 445I4 445291 44545 6 9 2 79 4456o 44576 44592 44607 44623 44638 44654 44669 44685 44700 7 I,,N' _',_ 1_ ~.x' /..-~-I' I I1 No. 0 1 2 3 4 5 6 7 8 9 914 i 9 I _ rTABLE XXVI. [Page 173 Logarithms of Numbers. No. 2800 —3400. Log. 44716 53148. No. 0 1 2 3 4 5 6 7 8 9 280 44716 4474473 4747 44762 44778144793 44809 44824 44840 44855 16 28I 44871 44886 449092 44917 44932 44948 44963 44979 44994 45oi 2 a82 45025 45040 45o56 4507I 45086 45102 45117 45I33 45148 45i63 2 3 283 45179 45194 45209 45225 45240 45255 45271 45286 453o0I 4537 3 5 284 45332 45347 45362 45378 45393 454o8 45423 45439 45454 45469 4 6 285 45484 45500 455I5 4553o 45545 4556I 45576 45591 456o6 4562I 5 8 286 45637 45652 45667 45682 45697 457I2 45728 45743 45758 45773 6 Io 287 45788 45803 458I.8 45834 45849 45864 45879 45894 45909 45924 7 I1 288 45939 45954 45969 45984 46000 46o0I5 46o3o 46045 46o060o 46075 8 13 289 46090 46io5 46120 46I35 46i5o 46I65 46i8o 46195 4621o 46225 9 I4 290 46240 46255 46270 46285 46300 46315 46330 46345 46359 46374 291 46389 46404 464I9 46434 46449 46464 46479 46494 46509 46523! 292 46538 46553 46568 46583 46598 466i3 46627 46642 46657 46672 15 293 46687 46702 46716 46731 46746 4676I 46776 46790 468o5 46820 294 46835 46850 46864 46879 46894 46909 46923 46938 46953 46967 2 295 46982 46997 47012 47026 47041 47056 47070 47085 47100 47114 3 296 47129 47I44 47159 47173 47188 47202 47217 47232 47246 47261 4 _ 297 47276 47290 47305 47319 47334 47349 47363 47378 47392 47407 5 298 47422 47436 47451 47465 47480 47494 47509 47524 47538 47553 6 8 299 47567 47582 47596 47611 47625 47640 47654 47669 47683 47698 7 I 300 47712 47727 4774I 47756 47770 47784 47799 47813 47828 47842 8 Is 3oi 47857 47871 47885 47900 47914 47929 47943 47958 47972 47986 9 I4 302 4800oo 48o0I5 48029 48o44 48o58 48073 48087 48o0 I 48II6 48I30 303 48i44 48I59 48173 48187 48202 48216 48230 48244 48259 48273 304 48287 48302 483I6 4833O 48344 48359 48373 48387 4840I 484i6 305 48430 48444 48458 48473 48487 485oI 485i5 48530 48544 48558 14 306 48572. 48586 48601o 486i5 48629 48643 48657 4867I 48686 4870oo0 1 307 48714 48728 48742 48756 48770 48785 48799 488i3 48827 4884I 2 3 308 48855 48869 48883 48897 489II 48926 48940 48954.48968 48982 3 4 309 48996 490IO 49024 49038 49052 49066 49080 49094 490o8 49I22 4 6 3io 49I36 49I50 49I64 49I78 49I92 49206 49220 49234 49248 49262 5 7 3iI 49276 49290 49304 493I8. 49332 49346 49360 49374 49388 49402 6 8 3I2 49415 49429 49443 49457 49471 49485 49499 495I3 49527 4954I 7 IO 313 49554 49568 49582 49596 496I0 49624 49638 4965I 49665 49679 8 II 314 49693 49707 49721 49734 49748 49762 49776 49790 49803 498I7 9 I3 3i5 49831 49845 49859 49872 49886 49900 49914 49927 4994I 49955 3i6 49969 49982 49996 5ooio 50024 50037 5005i 50065 50079 50092 317 5oIo6 50120 5oi33 50147 50o6I 50174 5oi88 50202 50215 50229| 13 3r8 50243 50256 50270 50284 50297 5o3II 50325 50338 50352 50365. 319 50379 50393 50466 50420 50433 50447 5046I 50474 50488 5o5o I 320 505I5 50529 50542 50556 5o569 5o583 50596 506io 50623 50637 23 321 5o65I 50664 50678 5069I 50705 50718 50732'50745 50759 50772 4 5 322 50786 50799 5o8i3 50826 50840 50853 50866 50880 50893 50907 5 323 50920 50934 50947 50961 50974 50987 5IOOI SIOI4 5I028 S5Io4 68 324 5io55 51068 5108i 5Io95 51o08 5I121 51135 51148 51162 51175 8 325 51188 51202 5I2I5 5I228 5I242 5I255 5I268 5I282 51295 5i308 8 Io 326 5I322 5I335 5i348 51362 5I375 5i388 5I402 514i5 5I428 5i44I 9 I2 327 5J455 5i468 5I48I 51495 550o8 5I52I 5I534 5I548 5i56I 51574 328 51587 5I60o 5I6I4 5I627 5I64o 5I654 5I667 5I68o 5I693 51706 329 51720 51733 51746 5!759 51772 51786 51799 58I12 51825 51838 330 5I85i 5i865 5I878 5I89I 5I904 5I917 5I930 51943 51957 51970 12 33I 51983 51996 52009 52022 52035 52048 5206 52075 52088 52IOI I I 332 52II4 52127 52140 52153 52166 52I79 52192 52205 52218 52231 2 2 333 52244 52257 52270 52284 52297 523IO 52323 52336 52349 52362 3 4 334 52375 32388 5240I 524I4 52427 52440 52453 52466 52479 52492 4 5 335 52504 52517 52530 52543 52556 52569 52582 52595 52608 5262I 5 6 336 52634 52647 52660 52673 52686 52699 527I1 52724 52737 52750 6 7 337 52763 52776 52789 52802 528I5 52827 52840 52853 52866 52879 7 8 338 52892 52905 529I7 52930 52943 52956 52969 52982 52994 53007 8 io 339 53020 53033 53046 53o58 53071 53084 53097 53iio 53I22 53i35 9,I No. 0 1 2 3 4 5 6 7 8 9 Page 174] TABLE XXVI. Logarithms of Numbers. No. 3400 —-- 4000. Log. 53148.60206. No. 0 1 2 3 4 5 6 7 8 9 34o 53I48 5316I 53173 53I86 53I99 532I2 53224 53237 5325o 53263 13 34i 53275 53288 533o0I 533i4 53326 53339 53352 53364 53377 5339q I342 534o3 534I5 53428 5344I 53453 53466 53479 5349I 535o4 53517 2 3 343 53529 53542 53555 53567 5358o 53593 53605 536i8 5363i 53643 3 4 344 53656 53668 5368i 53694 53706 53719 53732 53744 53757 53769 4 5 345 53782 53794 53807 53820 53832 53845 53857 53870 53882 53895 5 7 346 53908 53920 53933 53945 53958 53970 53983 53995 54008 54020 6 8 347 54033 54045 54058 54070 54083 54095 54I08 54I20 54I33 54i45 7 9 348 54I58. 54I70 54I83 54I95 54208 54220 54233 54245 54258 54270 8 Io 349 54283 54295 54307 54320 54332 54345 54357 54370 54382 54394 9 12 350 54407 544I9 54432 54444 54456 54469 5440i 54494 54506 545I8 35I 5453i 54543 54555 54568 54580 54593 54605 54617 54630 54642 352 54654 54667 54679 5469I 54704 54716 54728 5474I 54753 54765 353 54777 54790 54802 548I4 54827 54839 5485i 54864 54876 54888 354 54900 549I3 54925 54937 54949 54962 54974 54986 54998 55o0II 355 55023 55035 55047 55060 55072 55084 55096 55io8 55I2I 55i33 356 55i45 55I57 55I69 55I82 55194 55206 552I8 55230 55242 55255 357 55267 55279 55291 55303 553i5 55328 55340 55352 55364 55376 12 358 55388 55400 554I3 55425 55437 55449 5546i 55473 55485 55497 I 359 55509 55522 55534 55546 55558 55570 55582 55594 55606 556I8 2 360 55630 55642 55654 55666 55678 5569I 55703 557I5 55727 55739 3 4 36i 5575I 55763 55775 55787 55799 558II 55823 55835 55847 55859 4 5 362 5587I 55883 55895 55907 559I9 5593I 55943 55955 55967 55979 5 6 363 5599I 56003 56oi5 56027 56038 56050 56062 56074 56086 56098 6 7 364 56iio 56I22 56i34 56i46 56i58 56I70 56182 56194 56205 56217 7 8 365 56229 5624I 56253 56265 56277 56289 5630o 563I2 56324 56336 8 I0 366 56348 56360 56372 56384 56396 56407 56419 5643I 56443 56455 9 I 367 56467 56478 5649o 56502 565I4 56526 56538 56549 5656I 56573 368 56585 56597 566o08 56620 56632 56644 56656 56667 56679 5669I 369 56703 567I4 56726 56738 56750 5676I 56773 56785 56797 568o8 370 56820 56832 56844 56855 56867 56879 5689 56902 569I4 56926 37I 56937 56949 5696I 56972 56984 56996 57008 57019 5703I 57043 372 57054 57066 57078 57089 57O11 571I3 57I24 57I36 57I48 57I59 373 57172 57I83 57I94 57206 572I7 57229 5724I 57252 57264 57276 374 57287 57299 573Io 57322 57334 57345 57357 57368 57380 57392 11 375!57403 574I5 57426 57438 57449 5746I 57473 57484 57496 57507 376 575i9 57530 57542 57553 57565 57576 57588 57600 576II 57623 377 57634 57646 57657 57669 57680 57692 57703 577I5 57726 57738 2,378 57749 5776I 57772 57784 57795 5780 5788 57830 5784 578523 379 57864 57875 57887 57898 579I0 57921 57933 57944 57955 57967 5 6 380 57978 57990 58ooi 58o03 58024 58035 58047 58058 58070 58o8 6 7 38i 58092 58io4 58ii5 58I27 58i38 58I49 58i6i 58I72 58i84 58I95 7 8 382 58206 582I8 58229 58240 58252 58263'58274 58286 58297 58309 8 383 58320 5833i 58343 58354 58365 58377 58388 58399 584io 58422 9 I0 384 58433 58444 58456 58467 58478 58490 585oi 585I2 58524 58535 - 385 58546 58557 58569 58580 5859I 58602 586i4 58625 58636 58647 386 58659 58670 5868i 58692 58704 587I5 58726 58737 58749 58760 387 5877I 58782 58794 58805 588I6 58827 58838 58850 5886i 58872 388 58883 58894 58906 58917 58928 58939 58950 5896I 58973 58984 389 58995 59006 59027 59028 59040 5905I 59062 59073 59084 59095 390 59I06 59II8 59129 59I40 59I5I 59I62 59I73 59184 59I95 59207 391 592I8 59229 59240 5925I 59262 59273 59284 59295 59306 59318 392 59329 59340 5935I 59362 59373 59384 59395 59406 594I7 59428 10 393 59439 59450 5946I 59472 59483 59494 59506 59 5I7 59528 59539 394 59550 6956I 59572 59583 59594 59605 596I6 59627 59638 59649 2 2 395 596o 5967I 59682 59693 59704 597I5 59726 59737 59748 59759 3 3 396 59770 59780 5979I 59802 598I3 59824 59835 59846 59857 59868 4 4 397 59879 59890 599op 599I2 59923 59934 59945 59956 59966 599775 5 398 59988 59999 6ooio 6o02i 60032 60043 6oo54 60065 60076 6oo86 6 6 i 399 60097 6oxo8 60oII9 6oi30 6oi4i 60I52 60o63 6073 6oi84 60I95 7 7 No. 0 1 2 3 4 5 6 7 8 9 9 9,, 8 9_9S TABLE XXVI. [Page 175 Logarithms of Numbers. No. 4000- 4600. Log. 60206 - 66276. No. 0 1 2 3 4 5 6 7 8 9 400 60206 60217 60228 60239 60249 60260 60271 60282 60293 60304 11 4oi'603I4 60325 60336 60347 60358 60369 60379 60390 604oi 60412 i i 402 60423 60433 6o444 60455,60466 60477 60487 60498 60509 60520 2 403 6o53I 6o54I 60552 60563 60574 60584 60595 60606 60617 60627 3 3 404 60638 6064) 60660 60670 6o68I 60692 60703 607f3 60724 60735 4 405 60746 60756 60767 60778 60788 60799 6o8io 6082i 6083i 60842 5 6 406 6o853 6o863 60874 60885 60895 60906 609I7 60927 60938 60949 6 7 407 60959 60970 6o98I 6~099 61002 6ioi3 6I023 6Io34 6io45 6o55 7 8 408 6io66 61077 687 698 6 6 6ii3o 6i4o 65 6 6 6 662 8 9 409 6II72 6ii83 6II94 6I204 612I5 6I225 6I236 6I247 6I257 6I268 9 I_ 4I0 6I278 61289 6I300 6I3I0 6132i 6i33I 6I342 61352 6i363 6I374 4ii 6I384 6I395 6I405 6I416 61426 61437 6I448 61458 61469 61,479 41 61490 6I500 6I5II 6152I 6I532 6I542 6i553 6i563 6I574 6i584 4i3 6I595 6i606 6I6i6 61627 61637 6i648 6i658 6I669 6I679 61690 414 6I700 61711 6172I 6I73I 6I742 6I752 6763 61763 61773 61784 61794 415 6i805 61815 6I826 6i836 61847 61857 6i868 6I878 6i888 61899 4i6 61909 6I920 6i930 6o 94r 61994 5 6962 6I972 61982 6I993 62003 4I7 62014 62024 62034 62045 62055 62066 62076 62086 62097 62I07 4i8 621 I8 62128 62138 62I49 62I59 62I70 62I80 62190 6220I 62211 419 6222I 62232 62242 62252 62263 62273 62284 62294 62304 623I5 420 62325 62335 62346 62356 62366 62377 62387 62397 62408 624I8 42I 62428 62439 62449 62459 62469 62480 62490 62500 625II 6252I 422 62531 62542 62552 62562 62572 62583 62593 62603 626I3 62624 423 62634 62644 62655 62665 62675 62685 62696 62706 627I6 62726 424 62737 62747 62757 62767 62778 62788 62798 62808 628I8 62829 425 62839 62849 62859 62870 62880 62890 62900oo 6290o 6292I 6293I 10 426 62941 62951 6296I 62972 62982 62992 63002 630o2 63022 63033 I 427 63043 63053 63063 63073 63.o83 63094 63104 63II4 63I24 63i34 2 2 428 63r44 63I55 63I65 63175 63I85 63I95 63205 63215 63225 63236 3 3 429 63246 63256 63266 63276 63286 63296 63306 63317 63327 63337 4 4 430 63347 63357 63367 63377 63387 63397 63407 63417 63428 63438 5 5 431 63448 63458 63468 63478 63488 63498 63508 635i8 63528 63538 6 6 432 63548 63558 63568 63579 63589 63599 63609 636I9 63629 63639 7 7 433 63649 63659 63669 63679 63689 63699 6370.9 63719 63729 63739 8 8 434 63749 63759 63769 63779 63789 63799 63809 63819 63829 63839 9 9 435 63849 63859 63869 63879 63889 63899 63909 639I9 63929 63939 436 639499 63 63969 63979 63988 63998 64008 64o0I8 64028 64038 437 64048 640o5 64o68 64078 64088 64098 64io8 64iI8 64128 64I37 438 64I47 64I57 64I67 64I77 64I87 64197 64207 64217 64227 64237 439 64246 64256 64266 64276 64286 64296 643o6 643i6 64326 64335 440 64345 64355 64365 64375 64385 64395 644o4 644I4 64424 64434 44I 64444 64454 64464 64473 64483 64493 64503 645I3 64523 64532 442 64542 64552 64562 64572 64582 6459r 646oi 646II 6462I 64631 443 6464o 64650 6466o 64670 6468o 64689 64699 64709 647I9 64729 444 64738 64748 64758 64768 64777 64787 64797 64807 648I6 64826 445 64836 64846 64856 64865 64875 64885 64895 64904 64914 64924 446 64933 64943 64953 64963 64972 64982 64992 65002 650ii 65021 447 65o3i 65040 65050 65060 65070 65079 65089 65099 65io8.65i8 448 65I28 65I37 65147 65I57 65I67 65I76 65I86 65I96 65205 65215 449 65225 65234 65244 65254 65263 65273 65283 65292 65302 65312 450 65321 6533I 6534I 6535o 6536o 65369 65379 65389 65398 654o8 9 45I 654I8 65427 5447 65456 65466 65475 65485 65495 655o04 I ~452 655I4 65523 65533 65543 65552 65562 6557I 6558i 6559I 65600 2 2 453 656io 656I9 65629 65639 65648 65658 65667 65677 65686 65696 3 3 454 65706 657I5 65725 65734 65744 65753 65763 65772 65782 65792 4 4 455 658oi 658ii 65820 65830 65839 65849 65858 65868 65877 65887 5 5 456 65896 65906 659I6 65925 65935 65944 65954 65963 65973 65982 6 5 65992 660Io 6 66o 660230 660 66o3o 6603 66049 66058 66o68 66077 7 6 458 66087 660.96 66Io6 66xi5 66124 66I34 66i43 66I53 66I62 66172 8 7 459 66I8I 6691 66200oo 6621 66219 66229 66238 66247 66257 66266 9 8 No. 0 1 2 3 4 5 6 7 8 9.....,,. Page 1761 TABLE XXV1. Logarithms of Numbers. No. 4600 5200. Log. 66276- 1600. No. 0 1 2 3 4 5 6 7 8 9 i46o 66276 66285 66295 663o4 663I4 66323 66332 66342 66351 6636i 10 46i 66370 66380 66389 66398 664o8 66417 66427 66436 66445 66455 I7 462 66464 66474 66483 66492 66502 665ii 6652i 6653o 66539 66549 2 2 463 66558 66567 66577 66586 66596 66605 666i4 66624 66633 66642 3 3 464 66652 6666i 6667I 66680 66689 66699 66708 667I7 66727 66736 4 4 465 66745 66755 66764 66773 66783 66792 668oi 668ii 66820 66829 5 5 466 66839 66848 66857 66867 66876 66885 66894 66904 669I3 66922 6 6 467 66932 6694I 66950 66960 66969 66978 66987 66997 67006 67015 7 7 468 67025 67034 67043 67052 67062 6707I 67080 67089 67099 67108 8 8 469 67II7 67127 67136 67145 67154 67164 67173 67182 6719I 6720I 9 9 470 672I0 67219 67228 67237 67247 67256 67265 67274 67284 67293 471 67302 67311 67321 67330 67339 67348 67357 67367 67376 67385 472 67394 67403 67413 67422 67431 67440 67449 67459 67468 67477 473 67486 67495 67504 67514 67523 67532 6754I 67550 67560 67569 474 67578 67587 67596 67605 67614 67624 67633 67642 67651 67660 475 67669 67679 67688 67697 67706 67715 67724 67733'67742 67752 476 67761 67770 67779 67788 67797 67806 67815 67825 67834 67843 477 67852 6786I 67870 67879 67888 67897 67906 679I6 67925 67934 478 67943 67952 67961 67970 67979 67988 67997 68006 68oi5 68024 479 68o34 68043 68052 68o6i 68070 68079 68088 68097 68Io6 68ii5 48o 6824 68i33 6842 685 0 68 68i6o 68169 68178 68I87 68i96 68205 48i 68215 68224 68233 68242 6825I 68260 68269 68278 68287 68296 482 683o5 683I4 68323 68332 6834i 6835o 68359 68368 68377 68386 483 68395 68404 684I3 68422 6843i 6844o 68449 68458 68467 68476 484 68485 68494 68502 685ii 68520 68529 68538 68547 68556 68565 -485 68574 68583 68592 686oi 686Io 68619 68628 68637 68646 68655 9 486 68664 68673 6868I 68690 68699 68708 68717 68726 68735 68744 I I 487 68753 68762 6877I 68780 68789 68797 68806 688I5 68824 68833 2 2 488 68842 6885I 6886o 68869 68878 68886 68895 689o04 689I3 68922 3 3 489 6893I 68940 68949 68958 68966 68975 68984 68993 69002 690oI 4 4 49o 69020 69028 69037 69046 69055 69064 69073 69082 69090 69099 5 5 49I 69108 69II7 69I26 69I35 69I44 69I52 69I61 69170 69179 69I88 6 5 492 69I97 6920o5 69214 69223 69232 6924I 69249 69258 69267 69276 7 6 493 69285 69294 69302 693II 69320 69329 69338 69346 69355 69364 8 7 494 69373 69381 69390 69399 69408 694I7 69425 69434 69443 69452 9 8 495 69461 69469 69478 69487 69496 69504 695I3 69522 6953I 69539 496 69548 69557 69566 69574 69583 69592 6960I 69609 696I8 69627 497 69636 69644 69653 69662 6967I 69679 69688 69697 69705 69714 498 69723 69732 69740 69749 69758 69767 69775 69784 69793 6980I 499 698I1 698I9 69827 69836 69845 69854 69862 6987I 69880 69888 500 69897 69906 699I4 69923 69932 69940 69949 69958 69966 69975 50o 69984 69992 7001 700oo 7oo 008 70027 70036 70044 70053 70062 502 70070 70079 70088 70096 70Io5 701I4 70o22 70131 7 740 70I48 503 70157 70165 70I74 70o83 70191 70200 70209 70217 70226 70234 504 70243 70252 70260 70269 70269 778 70286 70295 70303 70312 70321 5o505 329 7038 70346 729355 7064 70372 7381 77038 70398 70406 506 70415 70424 70432 70441 70449 70458 70467 705 70492 507 70501 70509 705I8 70526 70535 70544 70552 7056I 70569 70578 508 70586 70595 70603 70612 70621 70629 70638 70646 70655 70663 509 70672 70680 70689 70697 70706 70714 70723 70731 70740 70749 51o 70757 70766 70774 70783 0791 70800 70808 70817 70825 70834 8 51i 70842 70851 70859 70868 70876 70885 70893 70902 70910 709I9 I I 512 70927 70935 70944 70952 70961 70969 70978 70986 70995 7100oo3 2 2 513 7IOI2 720 70 729 703o3 7 71046 7I054 71063 71071 71079 71088 3 2 514 71096 71105 7III3 711II22 7130 7I39 7II47 7I55 7II64 71172 4 3 515 71I 89 789 7198 7I206 7I2I4 7I223 71231 7I240 7I248 7I257 5 4 5I6 7I265 71273 27082 90 729 730 7299 71315 71324 7332 734 6 5 517 71349 7I357 7I366 71374 7I383 7139I 71399 7I408 7I4I6 71425 7 6 5i8 7I43-3 7144I 7I450 71458 7I466 71475 71483 71492 7I500 7I508 8 6 519 71517 7I525 71533 7I542 7I550 7I559 7I567 7575 7I584 7I592 9 7 No. 0 1 i2 3 4 5 6 7 8 9 TABLE XXVI. rPage 177 Logarithms of Numbers. No. 5200 -5800. Log. 71600- 76343. No. 0 1 2 3 4 5 6 7 8 9 520 716 7169 76I7 71625 71634 7I642 7I650 71659 7I667 71675 9 521 7I684 7I692 71700 71709' 71717 71725 71734 71742 71750 71759 522 7I767 71775 71784 71792 71800 7I809 71817 7I825 71834 71842 523 71850 71858 7I867 71875 71883 71892 71900 71908 7I9I7 7I995 3 3 524 7I93319q741 71950 7I958 7I966 7I975 71983 71991 71999 72008 4 525 72016 72024 72032 7204I 72049 72057 72066 72074 72082 72090 5 5 526 72099 72107 72115 72I23 72132 72140 72148 72I56 72165 72173 6 5 527 7218I 72189 72198 72206 722I4 72222 72230 72239 72247 72255 7 6 528 72263 72272 72280 72288 72296 72304 723I3 7232I 72329 72337 8 7 529 72346 72354 72362: 72370 72378 72387 72395 72403 72411 72419 9 8 53o 72428 72436 72444 72452 72460 72469 72477 72485 72493 72501 53I 72509 72518 72526 72534 72542 72550 72558 72567 72575 72583 532 72591 72599 72607 72616 72624 72632 -2640 72648 72656 72665 533 72673 7268I 72689 72697 72705 72713 72722 72730 72738 72746 534 72754 72762 72770 72779 72787 72795 72803 72811 72819 72827 535 72835 72843 72852 72860 72868 72876 72884 72892 72900 72908 536 72916 72925 72933 7294I 72949 72957 72965 72973 72981 72989 537 72997 73006 730I4 73022 73030 73038 73046 73054 73062 73070 538 73078 73086 73094 73102 73rII 73II9 73I27 73I35 73r43 73I5I 539 73I59 73167 73175 73183 7319I 73199 73207 732I5 73223 73231 540 73239 73247 73255 73263 73272 73280 73288 73296 73304 733I2 54I 73320 73328 73336 73344 73352 73360 73368 73376 73384 73392 542 73400 73408 73416 73424 73432 73440 73448 73456 73464 73472 543 73480 73488 73496 73504 735r2 73520 73528 73536 73544 73552 544 73560 73568 73576 73584 73592 73600 73608 736I6 73624 73632 545 73640 73648 73656 73664 73672 73679 73687 73695 73703 737rI 8 546 73719 73727 73735 73743 73751 73759 73767 73775 73783 7379I I" 547 73799 73807 738i5 73823 73830 73838 73846 73854 73862 73870 2 2 548 73878 73886 73894 73902 7390 1 739I8 73926 73933 7394I 73949 3 2 549 73957 73965 73973 73981 73989 73997 74oo005 74013 74020 74028 4 3 550 74036-74044 74052 74060 74068 74076 74084 74092 74099 741I-'7 5 4 55I 74115 74123 74131 74i39 74147 74I55 74I62 74170 74178 74186 6 5 552 74194 74202 742I0 742I8 74225 74233 7424I 74249 74257 74265 7 6 553 74273 74280 74288 74296 74304 74312 74320 74327 74335 74343 6 554 74351 74359 74367 74374 74382 74390 74398 74406 74414 74421 9 7 555 74429 74437 74445 74453 74461 74468 74476 74484 74492 74500 556 74507 74515 74523 74531 74539 74547 74554 74562 74570 74578 557 74586 74593 74601 74609 74617 74624 74632 74640 74648 74656 558 74663 74671 74679 74687 74695 74702 74710 747I8 74726 74733 559 74741 74749 74757 74764 74772 74780 74788 74796 74803 74811 560 748I9 74827 74834 74842 74850 74858 74865 74873 7488I 74889 56I 74896 74904 74912 74920 74927 74935 74943 74950 74958 74966 562 74974 74981 74989 74997 75005 750I2 75020 75028 75035 75043 563 75051 75059 75066.75074 75082 75089 75097 75105 75113 75120 564 75128 75I36 75I43 75I51 75I59 75I66 75174 75I82 75I89 75197 565 75205 752I3 75220 775936 75243 7525 75259 75266 75274 566 75282 75289 75297 75305 75312 75320 75328 75335 75343 75351 567 75358 75366 75374 7538I 75389 75397 75404 75412 75420 75427 568 75435 75442 75450 75458 75465 75473 75481 75488 75496 75504 569 75511 75519 75526 75534 75542 75549 75557 75565 75572 75580 570 75587 75595 75603 75610 75618 75626 75633 75641 75648 75656 7 57I 75664 75671 75679 75686 75694 75702 75709 75717 75724 75732 572 75740 75747 75755 75762 75770 75778 75785 75793 75800 75808 1 573 75815 75823 7583I 75838 75846 75853 7586I 75868 75876 75884 3 2 574 75891 75899 75906 75914 75921 75929 75937 75944 75952 75959 4 3 575 75967 75974 75982 75989 75997 76005 76012 76020 76027 76035 5 4 576 76042 76050 76057 76065 76072 76t08 76087 76095 76103 76II0 6 4 577 76II8 76I25 76133 76140 76148 76155 76I63 76170 76178 76I85 7 5 578 76193 76200 7620o8 762I5 76223 76230 76238 76245 76253 76260 8 6 579 76268 -6275 76283 76290 76298 76305 763I3 76320 76328 76335 916 NO. 0'1 2 3 4 5 6 7 8 9 23~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Page 178] TABLE XXVI. Logarithms of Numbers. No. 5800-{ 6400. Log. 76343 -- 80618. No. 0 1 2 3 4 5 6 7 8 9 580 76343 76350 76358 76365 76373 76380 76388 76395 7640o3 764i0 58I 76418 76425 76433 76440 76448 76455 76462 76470 76477 76485 I-fI 582 76492 76500 76507 76515 76522 76530 76537 76545 76552 76559 2 2 583 76567 76574 76582 76589 76597 76604 766I2 76619 76626 76634 3, 584 76641 76649 76656 76664 7667I 76678 76686 76693 76701 76708 4 3 585 767I6 76723 76730 76738 76745 76753 76760 76768 76775 76782 5 4 586 76790 76797 76805 768I2 768I9 76821 76834 76842 76849 76856 5 587 7686-4 76871 76879 76886 76893 7690I 76908 769I6 76923 76930 7 6 588 76938 76945 76953 76960 76967 76975 76982 76989 76997 77004 8 6 589 77012 770I9 77026 77034 7704I 77048 77056 77063 77070 77078 9 7 590 77085 77093 77-Ioo 77107 77115 77122 77129177137 77144 77151 591 77159 77166 77I73 7718I 77188 77195 77203 77210 77217 77225 592 77232 77240 77247 77254 77262 77269 77276 77283 77291 77298 593 77305 77313 77320 77327 77335 77342 77349 77357 77364 7737I 594 77379 77386 77393 7740I 77408 774I5 77422 77430 77437 77444 595 77452 77459 77466 77474 77481 77488 77495 77503 77517 596 77525 77532 77539 77546 77554 7756I 77568 77576 77583 77590 597 77597 77605 77612 776I9 77627 77634 7764I 77648 77656 77663 598 77670 77677 77685 77692 77699 77706 77714 77721 77728 77735 599 77743 77750 77757 77764 77772 77779 77786 77793 7780I 77808 600 77815 77822 77830'77837 77844 7785I 77859 77866 77873 77880 60o 77887 77895 77902 77909 779I6 77924 7793. 77938 77945 77952 602 77960 77967 77974 7798I 77988 77996 78003 78010 78017 78025 603 78032 78039 78046 78053 78061 78068 78075 78082 78089 78097 604 78I04 78III 78II8 78125 78132 78I40 7847 7854 78654 78 7868 605 78176 78I83. 78190 78197 78204 78211 782I9 78226 78233 78240 7 606 78247 78254 78262 78269 78276 78283 78290 78297 78305 783I2 1607 783I9 78326 78333 78340 78347 78355 78362 78369 78376 78383 I 608 78390 78398 78405 78412 784I9 78426 78433 78440 78447 78455 2 609 78462 78469 78476 78483 78490 78497 78504 785I2 785I9 78526 4 6I0 78533 78540 78547 78554 78561 78569 78576 78583 78590 78597 5 4 6II 78604 78611 786I8 78625 78633 78640 78647 78654 7866I 78668 6 4 6I2 78675 78682 78689 78696 78704 787II 787I8 78725 78732 78739 7 5 6i3 78746 78753 78760 78767 78774 78781 78789 78796 78803'788I0 8 6 6i4 78817 78824 7883I 78838 78845. 78852 78859 78866 78873 78880 9 6 615 78888 78895 78902 78909 789I6 78923 78930 78937 78944 7895i 6i6 78958 78965 78972 78979 78986 78993 79000 79007 790I4 79021 617 79029 79036 79043 79050 79057 79064 7907I 79078 79085 79092 6i8 79099 79106 79113 79120 79127 79I34 7914I 79I48 79155 79162 619 79169 79I76 79I83 79I90 79197 79204 79211 792I8 79225 79232 620 79239 79246 79253 79260 79267 79274 7928I 79288 79295 79302 621 79309 793I6 79323 79330 79337 79344 79351 79358 79365 79372 622 79379 79386 79393 79400 79407 794I4 79421 79428 79435 79442 623 79449 79456 79463 79470 79477 79484 7949I 79498 79505 79511 624 795I8 79525 79532 79539 79546 79553 79560 79567 79574 7958I 625 79588 79595 79602 79609 796I6 79623 79630 79637 79644 79650 626 79657 79664 7967I 79678 79685 79692 79699 79706 797I3 79720 627 79727 79734 7974I 79748 79754 79761 79768 79775 79782 79789 628 79796 79803 798Io 798I7 79824 79831 79837 79844 79851 79858 629 79865 79872 79879 79886 79893 79900 799o6 799I3 79920 79927 63o 79934 7994I 79948 79955 79962 79969 79975 79982 79989 79996 6 63i 8000ooo38ooo 8007 80024 80030 80037 8oo44 8oo5i 8oo58 80065 632 80072 80079 80085 80092 80099 8oio6 8o0I3 80120 80I27 8o0I34 I I 633 80I4o 80I47 8oi54 8oI6 8o0I68 80175 80I82 8oi88 80195 80202 2 634 80209 802I6 80223 80229 80236 80243 80250 80257 80264 80271 4 2 635 80277 80284 8029I 80298 80o3o05 8032 8o3i8 80325 80332 80339 5 3 636 80346 80353 80359 80366 80373 8038o 80387 80393 80400 80407 6 4 637 80414 80421 80428 80434 8o44i 80448 80455 80462 80468 80475 7 4 638 80482 80489 80496 80502 80509 8o5i6 80523 80530 80536 80543 8 5 639 8055o 80557 80564 80570 80577 80584 80059 80598 80604 8o6i 9 5 No. 0 1.2 3 4 5 6 7 8 9 TABLE XXVI. [Page 179 Logarithms of Numbers. No. 6400 7000. Log. 80618- 84510. No. 0 1 2 3 4 5 6 7 8 9 640 8o6I8 8o625 80632 80638 80645 80652 80659 80665 8()672 80679 7 64I 80686 80693 80699 80706 807I3 80720 80726 80733 80740 80747 642 80754 80760 80767 80774 80781 80787 80794 8o8i 880 o8o8 8o8i4 2 643 80821 80828 80835 8o841 80848 8o855 80862 8o868 80875 80882 3 644 80889 80895 80902 80909 80916 80922 80929 80936 80943 80949 4 3 645 80956 80963 80969 80976 80983 80990o 6 096 8 oo3 8ioio 81017 5 4 646 81023 8io3o 81037 8Io43 8io5o 8o107 8io64 81070 81077 81084 6 4 647 81o090 81o97 811o4 81111 81117 81124 8113i 81137 8ii44 8I151 7 5 648 8 85 81II4 8117I 81178 8ii84 81191 8ii98 81204 81211 81218 8 6 649 8I224 8123I 81238 81245 8125I 8I258 81265 81271 81278 81285 9 6 65o 8I29 8I298 8 3o5 8I3II 8i3i8 8I325 8I33I 8J338 8I345 8i351 65I 8i358 8i365 8I371 8I378 8i385 81391 8I398 81405 81i4i 8i4i8 652 81425 8I43I 8I438 8I445 8i45I 8I458 8I465 81471 8I478 8i485 653 8I49I 8I498 8150o5 8I5II 815I8 8525 8I53i 8i538 81544 8I55I 654 8I558 8I564 8I57I 81578 8i584 8I59I 8I598 8I604 8I6Ii 81617 655 81624 8I63I 8I637 8I644 8I65I 81657 8I664 81671 8I677 8i684 656 8I69o 8I697 81704 8I710 81717 81723 8I730 81737 81743 81750 657 81757 81763 8I770 81776 81783 81790 8I796 8i8o3 88091 818I6 658 8I823 8I829 8T836 81842 81849 89 856 8I862 8869 8I875 8I882 659 8i889 8895 81I902 8I908 819I5 8I92I 81928 81935 8I941 8I948'660 81954 8196I 8I968 81974 81981 8I987 8I994 82000 82007 82014 66I 82020 82027 82027 82033 82040 82046 82053 82060 82066 82073 82079 662 82086 82092 82099 82I05 82II2 821I9 82I25 82132 82I38 82145 663 82I51 82158 82164 82I7I 82I78 82I84 82191 82197 82204 822I0 664 822I7 82223 82230 82236 82243 82249 82256 82263 82269 82276 665 82282 82289 82295 82302 82308 82315 82321 82328 82334 82341 666 82347 82354 82360 82367 82373 82380 82387 82393 82400 824o6 667 82413 82419 82426 82432 82439 82445 82452 82458 82465 82471 668 82478 82484 82491 82497 82504 82510 82517 82523 82530 82536 669 82543 82549 82556 82562 82569 82575 82582 82588 82595 8260I 670 82607 82614 82620 82627 82633 82640 82646 82653 82659 82666 671 82672 82679 82685 82692 82698 82705 82711 82718 82724 82730 672 82737 82743 82750 82756 82763 82769 82776 82782 82789 82795 673 82802 82808 82814 82821 82827 82834 82840 82847 82853 82860 674 82866 82872 82879 82885 82892'82898 82905 82911 829I8 82924 675 82930 8'2937 82943 82950 82956 82963 82969 82975 82982 82988 676 82995 83ooi 83oo8 83oi4 83020 83027 83033 83040 83o046 83052 677 83059 83o65 83072 83078 83085 83091 83097 83io4 83110 83'117 678 83I23 83I29 83I36 83142 83I49 83155 836i1 83i68 83174 83I8i 679 83187 83I93 83200 83206 832I3 83219 83225 83232 83238 83245 68o 8 831 83257 83264 83270 83276 83283 83289 83296 83302 83308 68i 833i5 83321 83327 83334 83340 83347 83353 83359 83366 83372 682 83378 83385 83391 83398 83404 834io 83417 83423 83429 83436 683 83442 83448 83455 8346i 83467 83474 83480 83487. 83493 83499 684 83506 83512 835i8 83525 8353I 83537 83544 8355o 83556 83563 685 83569 83575 83582 83588 83594 836o0I 83607 836I3 83620 83626 6 686 83632 83639 83645 8365I 83658 83664 83670 83677 83683 83689 I 687 83696 83702 83708 837I5 83721 83727 83734 83740 83746 83753 2 1 688 83759 83765 83771 83778 83784 83790 83797 838o3 83809 838I6 3 2 689 83822 83828 83835 8384i 83847 83853 8386o 83866 83872 83879 4 2 690 83885 83891 83897 83904 83910 839I6 83923 83929 83935 83942 5 3 691 83948 83954 8396o 83967 83973 83979 83985 83992 83998 84oo4 6 4 692 84oii 84017 84023 84029 84036 84042 84048 84055 84o6i 84067 7 4 693 84073 84080 84o86 84092 84098 84o105 841i 84117 84I23 84i30 8 5 694 84i36 84I42 84i48 84i55 84I6I 84167 84173 84i80 84I86 84I92 _9 5 695 84I98 84205 84211 84217 84223 84230 84236 84242 84248 84255 696 84261 84267 84273 84280 84286 84292 84298 843o5 843 1184317 697 84323 84330 84336 84342 84348 84354 8436 84367 84373 84379 698 84386 84392 84398 84404 844io 84417 84423 84429 84435 84442 699 84448 84454 84460 84466 84473 84479 84485 8449I 84497 845o4 No. 0 1 2 3 4 5 i 6 7 8 9 Page 180] TABLE XXV I. Logarithms of Numbers. No. 7000 —-7600. Log. 84510 -— 88081. No. O 1 2 3 4 5 6 7 8 9 700 845I0 845i6 84522 84528 84535 8454i 84547 84553 84559 84566 7 70I 84572 84578 84584 84590 84597 84603 84609 846i5 84621 84628 _-7 702. 84634 84640 84646 84652 84658 84665 84671 84677 84683 84689 2! 7o3 84696 84702 84708 847I4 84720 84726 84733 84739 84745 8475I 31 2 7o4 84757 84763 84770 84776 84782 84788 84794 848o00 84807 848I3 4 3 7o5 84819 84825 84831 84837 84844 8485o 84856 84862 84868 84874 5 4 706 8488o 84887 84893 84899 84905 849II 84917 84924 84930 84936 6 4 707 84942 84948 84954 84960 84967 84973 84979 84985 8499I 84997 7 5 708 85oo3 85009 85oi6 85022 85028 85034 85040 85046 85052 85058 8 6 709 8W5o65 8507I 85077 85o083 85089 85095 85ioi 85107 85II4 85I20 9 6 710 85I26 85I32 85i38 85I44 85I50o 85I56 8563 85169 85I75 8518I 711 85187 85193 85199 85205 852I1 85217 85224 85230 85236 85242 712 85248 85254 85260 85266 85272 85278.85285 85291 85297 853o3 713 85309 853I5 85321 85327 85333 85339 85345 85352 85358 85364 714 85370 85376 85382 85388 85394 854oo 85406 85412 854i8 85425 715 8543I 85437 85443 85449 85455 8546I 85467 85473 85479 85485 716 8549I 85497 85503 85509 855i6 85522 85528 85534 85540 85546 717 85552 85558 85564 85570 85576 85582 85588 85594 856oo 856o6 718 85612 856i8 85625 8563i 85637 85643 85649' 85655 8566I 85667 7I9 85673 85679 85685 8569I 85697 85703 85709 85715 8572I 85727 720 85733 85739 85745 85751 85757 85763 85769 85775 8578I 85788 72I 85794 85800 858o6 85812 858i8 85824 85830 85836 85842 85848 722 85854 85860 85866 85872 85878 85884 85890 85896 85902 85908 723 85914 85920 85926 85932 85938 85944 85950 85956 85962 85968 724 85974 85980 85986 85992 85998 86oo004 86oio 86oi6 86022 86028 725 86o34 86o4o 86046 86052 86058 86o64 86070 86076 86082 86088 6 726 86094 86Ioo 86io6 86112 86ri8 86I24 86i3o 86 I36 86i4i 8647 I 1 727 86 53 86I59 86i65 8617I 86I77 8683 8683 86 8686 95 86201 86207 2 I 728 86213 862I9 86225 8623I 86237 86243 86249 86255 8626I 86267 3 2 729 86273 86279 86285 86291 86297 86303 86308 863i4 86320 86326 4 2 730 86332 86338 86344 86350 86356 86362. 86368 86374 86380 86386 5 3 73i 86392 86398 86404 864o10 864I5 86421 86427 86433 86439 86445 6 4 732 8645I 86457 86463 86469 86475 8648i 86487 86493 86499 865o4F 7 4 733 865i0 865I6 86522 86528 86534 86540 86546 86552 86558 86564 8 5 734 86570 86576 8658i 86587 86593 86599 86605 866II 866I7 86623 9 5 735 86629 86635 8664I 86646 86652 86658 86664 86670 86676 86682 736 86688 86694 86700 86705 867II 867I7 86723 86729 86735 8674I 737 86747 86753 86759 86764 86770 86776 86782 86788 86794 86800 738 868o6 86812 86817 86823 86829 86835 8684I 86847 86853 86859 739 86864 86870 86876 86882 86888 86894 86900 86906 8691I 86917 74o 86923 86929 86935 86941 869,47 86953 86958 86964 86970 86976 74I 2 69 86988 86994 86999 87005 870II 87017 87023 87029 87035 742 87040 87046 87052 87058 87064 87070 87075 87081 87087 87093 743 87099 87105 87111 87116 87122 87I28 87I34 871Io 87I46 87 15 744 87157 87I63 87I69 87I75 8718I 8786 8 7198 88798 87204 87210 745 872I6S 7221 87227 87233 87239 87245 87251 87256 87262 87268 746 87274 87280 87286 8729I 87297 87303 87309 87315 87320 87326 747 87332 87338 87344 87349 87355 87361 87367 87373 87379 87384 748 87390 87396 87402 87408 874I3 874I9 87425 87431 87437 87442 749 87448 87454 87460 87466 87471 87477 87483 87489 87495 87500 750 87506 87512 875I8 87523 87535 87541 87547 87552 87558 5 75I 87564 87570 87576 8758I 87587 87593 87599 87604 87610 87616 I 752 87622 87628 87633 87639 87645 87651 87656 87662 87668 87674 2 1 753 87679 87685 8769I 87697 87703 87708 87714 87720 87726 87731 3 2 754 87737 87743 87749 87754 87760 87766 87772.87777 87783 87789 4 2 755 87795 87800 87806 878I2 878I8 87823 87829 87835 8784I 87846 5 3 756 87852 87858 87864 87869 87875 87881 87887 87892 87898 87904 6 3 757 879Io 879I5 8792! 87927 87933 87938 87944 87950 87955 8796I 7 4 758 87967 87973 87978 87984 87990 87996 8800I 88007 88I 3 88oi8 8 4 759 88024 88o30 88o36 8804i 88047 88053 88058 88o64 88070 88076 9 5 No. 0 1 2 3 4 5 6 7 8 9 i S...4._ TABLE XXVI. [Page 181 Logarithms of Numbers. N0. 7600 8200. Log. 88081 ----— 91381. No. 0 1 - 2 3 4 5 6 7 8.9 76 88.88087 8893 88o8 88 88ii 8898 88 88 886 88121 881-27 88i33 6 761 88438884 88I5o 88656 886 67 88173 88178 88i84 88190 762 88195 8820I 88207 882I3 88218 88224 88230 88235 8824I 88247 763 88252 88258 88264 88270' 88275 88281 88287 88292 88298 88304 3 2 764 883091883I5 8832I 88326 88332 8833.8 88343 88349 88355 88360 765 88366 88372 8837j | 8838.3 88389 88395 88400 &8406 884I2 884I7 5 3 766 88423 88429 88434 88440 88446 8845 r 88457 88463 88468 88474 6 4 767 8848o 88485 8849I 88497 88502 885o8 885 3 885I9 88525 88530 7 4 768 88536 88542 88547 88553 88559,88564.88570 88576 8858i 88587 8 5 769 88593 88598 88604 886io 886I5 88621 88627 88632 88638 88643 770 88649 88655 88660 88666 88672 88677 88683 88689 88694 88700 77I 88705 887II 88717 88722 88728 88734 88739 88745 88750 88756'772 88762 88767 88773 88779 88784 88790 88795 888oI 88807 88812 773 888i8 88824 88829 88835 88840 88846 88852 88857 88863 88868 774 88874 88880 88885 8889I 88897 88902 88908 88913 889I9 88925 775 88930 88936 88941 88947 88953 88958 88964 88969 88975 8898I 776 88986 88992 88997 890 oo03 89014 89020 89025 8903I 89037 777 89042 89048 89053 89059 890o64 89070 89076 8908 89087 89092 778 89098 89I04 89I09 89II5' 89120 89I26 89I3i 8937 89I43 89I48 779 89I54 89159 89I65 89170 89176 89I82 89I87 89I93 89I98 89204 780 89209 89215'89221 89226 89232 89237 89243 89248 89254 8926o 781 89265 8927I 89276 89282 89287 89293 89298 89304 893I0 893I5 782 89321 89326 89332 89337 89343 89348 89354 89360 89365 89371 783 89376 89382 89387 89393 89398 89404 89409 894I5 8942! 89426 784 89432 89437 89443 89448 89454 89459 89465 89470 89476 89481 785 89487 89492 89498 89504 89509 895I5 89520 89526 8 9526 89537 786 89542 89548 89553 89559 89564 89570 89575 8958I 89586 89592 787 89597 89603 89609 89614 89620 89625 89631 89636 89642 89647 788 89653 89658 89664 89669 89675 89680 89686 89691 89697 89702 789 89708 8971I_3 897I9 89724 89730 89735; 8974I 89746 89752 89757 790 89763 89768 89774 89779 89785 89790 89796 8980I 89807 898I2 791 89818 89823 89829 89834 89840984 5 898989856 89862 89867 792 89873 89878 89883 89889 89894 89900oo 89905 899II 89916 89922 793 89927 89933 89938.89944 89949 89955 89960 89966 8997I 89977 794 89982 89988 89993 89998 90004 90009 900 5 90020 90026 90031 795 90037 90042 90048 900oo 53 90oo59 90064 9oo69 90075 90080 90086 796 9009g 90097 90oI2 9o8o8 901o3 91o 19 90I24 90I29 90 35 90o40 797 90146 90151 90157 90I62 90168 90173 90I79 90I84 90I89 90I95 798 90200 90206 902oI 90217 90222 90227 90233 90238 90244 90249 799 90255 90260 90266 90271 90276 90282 90287 90293 90298 90304 800 90309 9o314 90320 90325 90331 90336 90342 90347 90352 90358 8oi 90363 90369 90374 90380 90385 90390 90396 9040I 90407 90412 802 90417 90423 90428 90434 90439 90445 90450 90o455 o9046 90466 803 90472 90477 90482 90488 90493 90499 90504 90509 905I5 90520 804 90526 9053I 90536 9o542 90547 90553 90558 90563 90569 90574 805 90o58 90585 90590 90596 90o60 9o607 906I2 9o 6I7 9o623 90628 5 806 90634 90639 90644 90650 90655 90660 90666 9067I 90677 90682 807 90687 90693 90698 90703 90709 90714 90720 90725 90730 90736 2 1 808 90741 90747 90752 90757 90763 90768 90773 90779 90784 90789 3 2 809 90795 90800 o90806 90o81 9086 90822 90827 90832 90838'90843 4 2 8io 90849 90854 90859 90865 90870 90875 9088I 90886 9089I 90897 5 3 8iI 90902 90907 9093 9098 9 90924 9 90934 909294 9934 90940 90945 90950 6 3 8I 12 90956 9096I 90966 90972 90977 90982 90988 90993 90998 91004 7 4 8I3 91009 910I4 91020 9I025 9Io30 90o36 9041 910o46 91052 9O057 8 4 814 91062 9I068 9I073 91078 91084 9I089 91094 91I00 9II05 9 IIO 9 5 815 g 9I6 9II21 9II26 9I132 91137 91142 91148 91153 911589I I64 86 91I69 9II74 91I80 91Ii85 9II90 9196 9120o 912o6 9I212 9122 7 817 91222 9I228 91233 91238 9I243 9I249 91254 91259 91265 91270 8I8 91275 9I281 9I286 91291 91297 91302 9I307 9I3i2 9I318 91323 8I9 91328 9I334 9I339 9I344 91350 9I355 9I360 9I365 9I371 91376 No. 0 |1 2 3 4 5 6 7 8 9 Page 182] TABLE XXVI. Logarithms of Numbers. No. 8200 — 8800. Log. 91381 94448. No. 0 1 2 3 4 5 6 7 8 9 820 91381 91387 91392 91397 91403 9I408 9I413 91418 91424 91429 6 821 91434 91440 91445 91450 91455 9146I 91466 9I471 9I477 91482 I 822 91487 9I492 9I498 9I503 9I508 96154 91519 9I 524 91529 9I535 2 1 823 9I540 9I545 9I55I 9I556 9I56I 9I566 9I572 91577 9I582 9I587 3 2 824 9I593 i598 91603 91609 9I6I4 916I9 91624 91630 91635 9I640 4 2 825 91645 9165I 91656 9166I 91666 9I672 9I677 9I682 91687 9I693 5 3 826 91698 9I703 9I709 9I7I4 91719 9I724 9T730 9I735 9I740 91745 6 4 827 9175I 9I756 9I76I 91766 9I772 91777 9I782 9I787 9I793 9I798 7 4 828 9I803 9I808 9I8I4 9I8I9 9I824 9I829 91834 91840 91845 91850 8 5 829 9I855 9I86I 91866 91871 91876 91882 9I887 91892 91897 91903 9 5 830 9I908 919I3 9I9I8 91924 91929 9I934 9 939 9I944 9I950 9I955 83i 9I960 9I965 9197I 9I976 9I98I 91986 9I99I 9I997 92002 92007 832 920I2 92018 92023 92028 92033 92038 92044 92049 92054 92059 833 92o65 92070 92075 92080 92085 92091 9?096 92101 92o06 92I 11 834 92117 92122 92127 9232 9237 92143 9243 948 92153 92158 92I63 835 92169 92I74 92I79 92I84 92189 92195 92200 92205 92210 922I5 836 92221 92226 92231 92236 92241 92247 92252 92257 92262 92267 837 92273 92278 92283 92288 92293 92298 92304 92309 923I4 923I9 838 92324 92330 92335 92340 92345 923 5 92355 92361 92366 92371 839 92376 9238I 92387 92392 92397 92402 92407 92412 924I8 92423 -84 92428 92433 92438 92443 92449 92454 92459 92464 92469 92474 84i 92480 92485 92490 92495 92500 92505 925ii 92516 92521 92526 842 92531 92536 92542 92547 92552 92557 92562 92567 92572 92578 843 92583 92588 92593 92598 92603 92609 926I4 92619 92624 92629 844 92634 92639 92645 92650 92655 92660 92665 92670 92675 9268I 845 92686 9269I 92696 92701 92706 9271I 92716 92722 92727 92732 5 846 92737 92742 92747 92752 92758 92763 92768 91773 92778 92783 847 92788 92793 92799 92804 92809 92814 928192824 92829 92834 I 848 92840 92845 92850 92855 92860 92865 92870 92875 9288I 92886 2I 849 9289I 92896 92901 92906 929II929I6 92921 92927 92932 92937 4 2 850 92942 92947 92952 92957 92962 92967 92973 92978 92983 92988 5 3 85i 92993 92998 93003 93008 93013 93018 93024 93029 93034 93039 6 3 852 93044 93049 93054 93059 93064 93069 93075 93080 93085 93090 7 4 853 93095 93Ioo 93I05 93IIO 93115 93120 93I25 93I3I 93I36 9314I 8 4 854 93I46 93I5I 93I56 9316I 93I66 9317I 93I76 93I8I 93I86 93I92 9 5 855 93 I97 93202 93207 932I2 932I7 93222 93227 93232 93237 93242 -_ 856 93247 93252 93258 93263 93268 93273 93278 93283 93288 93293 857 93298 93303 93308 933I3 93318 93323 93328 93334 93339 93344 858 93349 93354 93359 93364 93369 93374 93379 93384 93389 93394 859 93399 93404 93409 934I4 93420 93425 93430 93435 93440 93445 -860 93450 93455 93460 93465 93470 93475 93480 93485 93490 93495 86I 93500 93505 935IO 93515 93520 93526 9353I 93536 9354I 93546 862 93551 93556 9356I 93566 9357 I93576 9358I 93586 9359I 93596 863 93601 93606 9361I 9366 9362 I 93626 9363I 93636 9364I 93646 864 9365I 93656 93661 93666 93671 93676 93682 93687 93692 93697. 865 93702 93707 93712 937I7 93722 93727 93732 93737 93742 93747 866 93752 93757 93762 93767 93772 93777 93782 93787 93792 93797 867 93802 93807 938I2 93817 93822 93827 93832 93837 93842 93847 868 93852 93857 93862 93867 93872 93877 93882 93887 93892 93897 869 93902 93907 939I2 939I7 93922 93927 93932 93937 93942 93947 870 93952 93957 93962 93967 93972 93977 93982 93987 93992 93997 4 87I 94002 94007 94012 940I7 94022 94027 94032 94037 94042 94047 872 94052 94057 94062 94067 94072 94077 94082 94086 94091 94096 I'O 873 94OI1 94IO6 94111 94I16 9412I 94I26 94I3I 94I36 94I41 94T46 2 I 874 94I5I 94156 94161 94I66 94I7I 94176 94I8I 94I86 9/I91 94I96 3I 875 94201 94206 94211 942I6 9422I 94226 9423I 94236 94240 94245 5 2 876 94250 94255 94260 94265 94270 94275 94280 94285 94290 94295 6 2 877 94300 94305 943I0 94315 94320 94325 94330 94335 94340 94345 3 878 94349 94354 94359 94364 94369 94374 94379 94384 94389 94394 8 3 879 94399 94404 96409 944I4 94419 94424 94429 94433 94438 94443 9 4 No. 0 1 2 3 4 5 6 7 8 4 9 TABLE XXVI. (Page 183 Logarithms of Numbers. No. 8800 -9400. Log. 94448 97313. No. 0 1 2 3 4 5 6 7' 8 9 880 94448 94453 94458 94463 94468 94473 94478 94483 94488 94493 5 88I 94498 94503 94507 945I2 94517 94522 94527 94532 94537 94542 882 94547 94552 94557 94562 94567 94571 94576 94581 94586 94591 I I 883 94596 9460o 94606 94611 946 6 94621 94626 94630 94.63594640 2 I 884'94645 94650 94655 94660 94665 94670 94675 94680 94685 94689 3 2 885 94694 94699 94704 94709 94714 94719 94724 94729 94734 94738 5 3 886 94743 94748 94753 94758 94763 94768 94773 94778 94783 94787 6 3 887 94792 94797 94802 94807 94812 94817 94822 94827 94832 94836 7 4 888 94841 94846 94851 94856 94861 94866 94871 94876 94880 94885 8 4 889 94890 94895 94900 94905 94910 949I5 94919 94924 94929 94934 9 5 890 94939 94944 94949 94954 94959 94963 94968 94973 94978 94983 89I 94988 94993 94998 95002 95007 950I2 950I7 95022 95027 95032 892 95036 95041 95046 95051 95056 9505 6 95066 9507I 95075 95080 893 95085 95090 95095 95100oo 95105 95i09 95II4 95119 95124 95129 894 95i34 951 39 95143 95148 95153 95-158 95163 95168 95173 95I77 895 95182 95187 95192 95197 95202.95207 95211 95216 95221 95226 896 9523[ 95236 95240 95245 95250 95255 95260 95265 95270 95274 897 95279 95284 95289 95294 95299 95303. 95308 95313 95318 95323 898 95328 95332 95337 95342 95347 95352 95357 9536I 95366 9537I 899 95376 95381 95386 95390 95395 95400 95405 954io 954I5 95419 900 95424 95429 95434 95439 95444 95448 95453 95458 95463 95468 901 95472 95477 95482 95487 95492 95497 95501 95506 95511 95516 902 9.552I 95525 95530 95535 95540 95545 95550 95554 95559 95564 903 95569 95574 95578 95583 95588 95593 95598 95602 95607 95612 904 956I7 95622 95626 95631 95636 9564I 95646 95650 95655 95660 905 95665 95670 95674 95679 95684 95689 95694 95698 95703 95708 906 95713 95718 95722 95727 95732 95737 95742 95746 95751 95756 907 9576I 95766 95770 95775 95780 95785 95789 95794 95799 95804 908 95809 95813 958I8 95823 95828 95832 95837 95842 95847 95852 909 95856 95861 95866 95871 95875 95880 95885 95890 95895 95899 910 95904 95909 959I4 95918 95923 95928 95933 95938 95942 95947 9I 95952 95957 9596I 95966 95971 95976 95980 95985 95990 95995 912' 5999 96004 96009 96oi4 96019 96023 96028 96033 96038 96042 913 96047 96o52 96057 96o61 96066 96o7 9607696o08 96085 96090 914 96095 96099 6104 961409 96I14 96118 96123 96128 96I33 96I 37 915 96I42 96147 96152 96I56 96J6I 96I66 96I71 96175 96I80 96I85 916 96190 96194 96199 96204 96209 962I3 962I8 96223 96227 96232 917 96237 96242 96246 9625i 96256 96261 96265 96270 96275 96280 9I8 96284 96289 96294 96298 96303 96308 96313 963I7 96322 96327 9 r9 96332 96336 96341 96346 96350 96355 96360 96365 96369 96374 920 96379 96384 96388 96.393 96398 964o2 96407 96412 96417 96421 921 96426 96431 o6435 96440 96445 96450 96454 96459 96464 96468 922 96473 96478 96483 96487 96492 96497 9650o 96506 96511 96515 923 96520 96525 96530 96534 96539 96544 96548 96553 96558 96562 924 96567 96572 96577 9658I 96586 9659I 96595 96600 96605 96609 925 96614 96619 96624 96628 96633 96638 96642 96647 96652 96656 4 926 6666 96666 96670 96675 96680 96685 96689 96694 966 967o03 927 96708 96713 967I7 96722 96727 9673I 96736 9674 96745 96750 2 o 928 96755 96759 96764 96769 96774 96778 96783 96788 9672 96797 3 929 96802 96806 96811 96816 96820 96825 96830 96834 968 9 96844 2 930 96848 96853 96858 96862 96867 96872 96876 96881 968869689 5 2 93I 96895 96go900 96904 96909 9694 969I8 96923 96928 96932 96937 2 93 2 96942 96946 9695I 96956 96960 965 96970 96974 96979 96984 7 3 933 96988 96993 96997 97002 97007 97011 97016 97021 97025 97030 8 3 934 97035 97039 97044 97049 97053 97058 97063 97067 97072 97077 9 4 935 97o8 9708 97 97090 97095 97100 97o 4 97I0 97119 974 97118 97123 936.97128 97I32 97137 97142 97146 97151 97155 97i60 97I65 9769 937 97174 97179.97183 97188 9712 97197 97202 97206 97211 97216 938.97220 97225 97230 97234 97239 97243 97248 97253 97257 97262 939 97267 97271 97276 97280, 9780 9729 972894 97299 97304 97308 No. 0 1 2 3 4 5 6 7 8 9 Page 184] TABLE XXVI. Logarithms of Numbers. No. 9400-100000. Log. 97313 99996. No. 0 2 3 4 5 6 7 8 9 940 973397 97317 22 97322 7 9733I 97336 97340 97345 97350 973 5 94I c735! 97364 97368 97373 97377 97387 9739 97396 97400 I 942 974 97 974Io 97464 9749 97424 97428 97433 974437 97442 97447 2 1 943 97451 97456 97460 97465 97470 97474 97479 97483 97488 97493 3 2 944 97497 97502 97506 97511 97516752 9752997534 97539 4 946 97543 97548 97552 97557 97562 97566 97571 97575 97580 97585 5 3 946 97589 97594 97598 97603 97607 976I2 976I7 9762I 97626 97630 6 3 47 97633 976440 9644 9764 53 976 58 97663 97667 97672 97676 7 4 948 9768I 97685 97690 97695 97699 97704 97708 977 3 97717 97722 8 4 949 97727 9773I 97736 97740 97745 97749 97754 97759 97763 97768 9 5 950 97772 97777 97782 97786 9779I 97795 97800 97804 97803 97813 95 978I8 97823 97827 97832 97836 9784I 97845 97850 9785 9785 952 97864 97868 97873 97877 97882 97886 9789I 97896 97900 97905 953 97909 97914 979I8 97923 97928 97932 97937 9794' 97946 97950 954 97955 97959 97964 97968 97973 97978 97982 97987 9799I 97996 955 98ooo 980o5 98009 980I4 98')I9 98023 98028 98032 98037 9804I 956 98046 98o50 980o55 98059 98o64 98068 98073 98078 98082 98087 957 980 98 oo 98096 980 og 98i4 98i18 98123 98I27 98132 958 98137 98I4I 98146 98I50 98I55 98I59 98I64 98I68 98173 98177 959 98I82 98I86 98I9I 98195 98200 98204 98209 98214 982I8 98223 960 98227 98232 98236 9824r 98245 98250 98254 98259 98263 98268 96I 98272 98277 9828I 98286 98290 98295 98293 98304 98308 983I3 96-2 983I8 98322 98327 9833I 98336 98340 98345 98349 98354 98358 963 98363 98367 98372 98376 9838I 98385 9839w 98394 98399 984o3 964 98408 984I2 98417 98421 98426 98430 98435 98439 98444 98448:965 98453 98457 98462 98466 9847I 98475 98480 98484 98489 98493 966 98498 98502 98507 985 I r 985I6 98520 98525 98529 98534 98538 967 98543 98547 98552 98556 9856I 98565 98570 98574 98579 98583 968 98588 98592 98597 9860r 98605 986I0 986I4 986I9 98623 98628'969 98632 98637 9864I 98646 98650 98655 98659 98664 98668 98673 970 98677 98682 98686 98691 98695 98700 98704 98709 987I3 98717 97.1 98722 98726 9873I 98735 98740 98744 98749 98753 98758 98762 972 98767 9877! 98776 98780 98784 98789 98793 98798 98802 98807 973 988 8I 98816 98820 98825 98834 98838 98843 98847 9885I 974 98856 98860 98865 98869 98874 98878 98883 98887 98892 98896 975 98900 98905 98909 98914 989I8 98923 98927 98932 98936 9894I 976 98945 98949 98954 98958 98963 98967 98972 98976 9898I 98985 977 98989 98994 98998 9900oo3 9900oo7 9902 99o6 9902 99025 99o029 978' 99034 99038 99043 99047 99052 99056 9906I 99065 069 99074 979 99078 99083 99087 99092 99096 99I00 99I05 990og 9914 998 99 980 99123 99127 99I3I 99I36 99140 99145 99I49 9I54 99158 99162 98- 99I67 99I71 99I76 99180 99I85 99189 99 93 99T98 99202 99207 982 99211 99226 99 224233 99238 99242 99247 9925I 983 99255 99260 99264 99269 99273 99277 99282 99286 992 I1 9925 984 99300oo 99304 99308 993I3, 993I7 99322 99326 99330 99335 99339 985 99344 99348 99352 99357 9936I 99366 99370 99374 99379 99383 4 986- 99388 99392 99396 99401'99405 994I0 99414 994I9 99423 99427 987 99432 99436 9944I 99445 99449 99454 99458 99463 99467 99471 I o 988 99476 9948oS9484 99489 9943 9498 99502 99506 995II 99515 2 I 989 99520 99524 99528 99533 99537 99542 99546 99550 99555 99559 3 99~ 99564 99568 99572 99577 9958' 99585 99590 99594 99599 99603 2 99 6 99607 99612 99616 9962 996,6 9963 99638 99642 99647 5 2 992 9965I 99656 99660 99664 99669 99673 99677 99682 99686 9962 6 3 993' 99695 99699 99704 99708 99712 997I7 99721 99726 99730 997 8 3 994 99739 9974 99747 99752 99756 99760 99765 99769 99774 99778 995 99782 99787 99731 99795 99800 99804 99808 998I3 998I7 99822 996 99826 99830 99835 99839 99843 99848 99852 99856 9986I 9986 997: 99870 99874 99878 99883 99887 99891 99826 99900 99904 99909 998 999I3 99917 99922 99926 99930 99935 99944 99948 99952 -999 99957 99961 99965 99970 99974 99978 99987 9999I 99996 No. 0 1 2 3 4 5 6 7 8 9 TABLE XXVII. [Page 185 Log. Sines, Tangents, and Secants. 00 17_9~ MHOUrA.M. Hour P.M. Sine. Diff. I/Cosecant. Tangent. Diffl'Cotangent Secant. Cosine. M 012 0 00 0 0DInf. Neg. Infinite. Inf. Neg. Infinite. 10.00000 10.0000o 6o III 59 52 o 86.4637330o0o313.53627 6.46373 30031i3.53627 00000 ooooo 5 2 59 44 0 i6 76476 176o9 23524 7647617609 23524 00000 00000 58 3 59 361 o 24 9408.5 12494 05915 94085 12494 0595 00000 ooooo 57 4 59 28 0 32 7.06579 9691 12.93421 7.06579 969 12.9342 1 00000 00 5 S ii 59 200 0 4o 7.16270 7918 12.83730 7. 16270 79i8 12.83730 I0.0oooo000.0ooooo 155 6 59 12 0 48 24188 6694 75812 24188 6694 758I2 00000 00000 54 7 5 4 0 56 30882 5800 69ii8 30882 58oo 6918 00000 00000 53 8 58 56 4 36682 5iI5 633i8 36682 5ii5 633i8 00000 00000 52 9 58 48 I12 41797 4576 58203 41797 4576 58203 00000 00000 SI 10 II 58 40 I 20 7.46373 4139 12.53627 7.46373 4i39 12.53627 Io.oooool00000TOo So II 58 32 I 28 50512 3779 49488 50512 3779 49488 00000 00000 49 12 58 24 I 36 54291 3476 45709 5429i 3476 45709 00000 00000 48 13 58 i6 44 57767 3218 42233 57767 3219 42233 00000 00000 47 i4 58 8 52 -60985 2997 3go95 60986 2996 390o4 00000 00000 46 ii1 58 0 0 2 0 7.63982 2802 12.36018 7.63982 2803 12.3608 OOOOO C.ooO45 75I 55 88~ 9I ooooo1 ooooo 4 i6 57 52 2 8 66784 2633 33216 66785 2633 33215 00000 00000 44 17 57 44 2 i6 69417 2483 3o583 69418 2482 30582 ooooI i 9.99999 43 i8 57 36 2 24 71900 2348 280oo 71900 2348 280oo 00001 99999 42 19 57 28 2 32 74248 2227 25752 74248 2228 25752 00001 99999 41 20 Ii 57 2o 2 0 4O 7.76475 2119 12.23525 7.76476 211912.23524 10.00001 9.99999 4o 21 57 1 2 48 78594 2021 21406 78595 2020 21405 00001 99999 39 22 57 4 2 56 8o6i5 1930 19385 8o6i51 ig31 9385 00001 99999 38 23 56 56 3 4 82545 x848 17455 82546 i848 17454 00001 99999 37 24 56 48 3 12 84393 1773 15607 84394 1773 i56o6 00001 99999 36 25 I )6 4o 0 3 20 7.86i66 1704 12.13834 7.86167 1704 12.13833 1000ooo i 9.99999 35 26 56 32 3 28 87870 1639 12130 87871 1639 1229 00001' 99999 34 27 56 24 3 36 89509 1579 1049I 89510 1579 10490 00001 99999 33 28 56 6 3 44 91088 1524 08912 91089 1524 08911 00001 99999 32 29 56 8 3 52 92612 1472 07388 92613 1473 07387 00002 99998 31 3o II 56 0 0 4 ( 7.94084 1041412.05916 7.94086 i424 12.05914 10.00002 9.99998 3o 31 55 52 4 8 95508 1379 04492 9550o 1379 04490 00002 99998 29 32 55 44 4 16 96887 i336 o3ii3 96889 i336 o3iii 00002 99998 28 33 55 36 424 98223 127 01777 98225 17 1775 00002 99998 27 34 55 28 4 32 99520 1259 0048o 99522 12 00478 00002 99998 26 35 II 55 20 0 4 4o 8.00779 I223 11.99221 8.oo078 1223 11.99291 io.ooo02 9.99998 25 36 55 12 4 48 02002 II0 97998 02004 1190 97996 00002 99998 24 37 55 4 4 56 o392 II8 96808 03194 59 96806 oooo3 99997 23 38 54 5 4 o435o 128 95650 04353 1128 95647 oooo3 99997 22 39 54 48 5 1 05478 1iioo 94522 o548i 10oo.94519 oooo3 99997 21 40 II 54 4oo 5 20 8.o6578 1072 II.93422 8.o658i 1072 11.934,1 9ixoooo3 9.99997 20 4' 54 32 5 28 07650 io46 92350 07653 1047 92347 oooo3 99997 19 42 54 24 5 36 08696 1io22 9304 08700 1022 91300 oooo3 99997 I8 43 54 i6 5 44 09718 999 90282 09722 998 90278 00oo3 99997 17 44 54 8 5 52 1077 976 89283 10720 976 8928 00004 99996 i6 45 1i 54 0 6 0o8.11693 954 11.88307 8.ii696 955 11.88304 io.oooo4 9.99996 iS 46 53 52 6 8 12647 934 87353 12651 934 8734 00004 99996'4 47 53 44 6 i6 i358i 914 86419 i3585 9i5 8641 00004 99996 13 48 53 36 6 24 14495 896 855o5 i45oo 895 855oo 00004.99996 12 49 53 28 6 32 15391 877 84609 5395 878 846o5 oooo4 99996 II SO II 53 20 o 6 4o 8.16268 8601ii.83732 8.16273 861ii.83727 IO.o0005 9.99995 10 /I 53 12 6 48 17128 843 82872 17133 843 82867 oooo5 99995 52 53 4.6 56 17971 827 82029 1797 828 82024 oooo5 99995 8 53 5 7 4 18798 812 81202 i88o4 812 8i 00005 99995 7 54 52 48 712 19610 797 80390 191 797 8o38 oooo5 99995 6 55 II 52 4o 0 7 20 8.20407 782II.79593 8.20413 782 I.79587 1ioooo9.99994 5 56 52 32 7 28 2189 769 78811 21195 76 788o5 000o6 99994 4 57 52 2, 36 21958 755 78042 21964 756 78036 oooo6 99994 3 58 2 i6 7 44 22713 743 77287 22720 742 77280 oooo6 99994 2 9 52 8 7 52 23456 730 76544 23462 730 7638 oooo6 99994. 6o 52 8 o 4186 717 75814 24,92 77 8 7S808 00007 99993 0 M IIourP.M. Hour A.M. Cosine. DiffiD Secant. Cotangent Diff. 1' Tangent. Cosecant. Sine.M 900 890 24 Page 186] TABLE XXVII. Log. Sines, Tangents, and Secants. 10 17'8o M Hour A.M. Iou r P.M. Sine. iDiff.l'iCosecant. Tangent. Diff.'Cotangent Secant. Cosine. M 0o II 52 o 0 8 8.2418 717 11.75814 8.24192718 II 75808 Io.00007 9.99993 6o 1 5I 52 8 8 2493 706 75097 24910 706 75o090 00007 99993 5 2 5i 44 8 i6 256 695 7439i 25661 696 74384 00007 99993 58 5i 36 8 24 26304684 7i8 0000 3 5i 36 8 24 26304 684 73696 26312 684 73688 00007 99993 57 4 5i 28 8 32 26988 67 73o012 26996 673 73004 oooo8 99992 56 5 II 51 20 0 8 4o 8.27661 663 iI11.72339 8.27669663 II.72331 10.000089.99992 55 6 Si 12 8 48 28324 653 71676 28332 654 71668 000081 99992 54 7 Si 4 8 56 28977 644 71023 28986 643 71014 00008 99992 53 8 5o 56 9 4 29621 634 7037 29629 634 7037 oooo8 99992 52 9 5o 48 9 12 30255 624 69745 30263 625 69737 00009 99991 5i io II 5o 4o 0 9 20 8.3087 6i6 11.69121 8.30888 61711.69112 10.00009o9.99991 5o Ii 5o 32 9 28 3I49? 6o8 685o5 3i5o5 607 68495 00009 99991 49 12 5o 24 9 36 32103 599 67897 3212 599.67888 0ooo0 99990. 48 3 o I6 9 44 32702 590 67298 327II 591 67289 00010oooo 99990 47 54 S0 8 9 52 33292 583 66708 33302 584 66698 0oooo 99990 46 iS II 5o 0 o io o 8.33875 575 11.66I25 8.33886 575 i1.66ii4 0.0ooo0109.99990 45 i6 49 52 Io 8 3445o 568 6555o 3446i 568 65539 ooo00 99989 44 17 49 44 io i6 35oi8 56o 64982 35029 56i 64971 oooi 99989 43 i8 49 36 10 24 35578 553 64422 35590 553 644i0 oooII 99989 42 19 49 28 io 32 36i3i 547 63869 36i43 546 63857 oooI 99989 4i 20 ii 49 20 0 o 4I o 8.36678 539 1.63322 8.366895401.633ii I0.00OI29.99988 4o 21 49 12 10 48 37217 533 62783 37229 533 62771 00012 99988 39 22 49 4 10 56 37750 526 62250 37762 527 62238 00012 99988 38 23 48 56 Ii 4 38276 520 61724 38289 520 6I7II oooi3 99987 37 24 48 48 II 12 3879 5i4 61204 38809 5i4 61191 00013 99987 36 25 51 48 4o 0 I I 20 8.39310 5o8 11.606go 8.39323 5o9 ii.60677 0o.oooi319.99987 35,~~~~~~~o 8 l 395 o 50 346oJ6 8 00059l 14 4 26 48 32 1 28 39818 502 60182 39832 502 668 ooo4 99986 34 27 48 24 iI 36 4032 496 59680 4o334 496 59666 oooi4 99986 33 28 48 i6 i: 44 48I6 49 59184 4o83o 491 5970 000i4 999861 32 29 48 8 11 5 41307 485 58693 41321 486 58679 oooi 99985 31 3O oi 48 o 36 0 12 08.41792 48o ii.58208 8.41807 480 iI.58i93 io.oooi19.99985 3o 31 47 52 12 8 42272 474 57728 42287 475 57713 oooi5 99985 29 32 47 44 12 i6 42746 470 57254 42762 470 57238 oooi6 99984 28 33 4 36 12 24 43216 464 56784 43232 464 56768 oooi6 99984 27 34 47 28 12 32 4368o 459 56320 43696 46o 563o4 oooi6 99984 26 35 1i 47 20 o 12 4o 8.44139 455 ii.5S86i 8.44i56 455 ii.55844 1I. 0007 9.99983 25 36 47 12 12 48 44594 45o 554o6 446i1i 45o 55389 OOO7 99983 24 37 4 4 12 56 45o44 445 54956 45o61 446 54939 o00017 99983 23 38 46 56 13 4 4548 441 545ii 45507 44_ 54493 oooi8 99982 22 39 46 48 I3 12 45930 436 54070 45948 437 54052 oooi8 99982 21 4O I 46 4 0 I3 20 8.46366-433 ii.53634 8.46385 432 ii.536i5 0.00018 9. 99982 20 41 46 32 13 28 46799 427 53201 46817 428 53i83 oooig 9998I 19 42 46 24 I3 36 47226 424 52774 47245 424 52755 oo I9 99981 i8 43 46 6 13 44 4765 419 52350 47669 420 52331 000ooo9 9998I 17 44 46 8 I3 52 48069 4i6 5931 48089 4i6 5IgII 00020 99980 i6 45 Ii 46 o o 14 o 8.48485 411 ii.5ii5 8.485o5 412 ii.51495 IO.00020 9.99980 IS 46 45 52 14 8 48896 4o8 iio4 48917 4o8 5io83 0002oi 99979 14 47 45 44 i4 i6 49304 4o41 50696 49325 404 50675 00021 99979 I3 48 45 36' 4 24 419708 400 50292 49729 41o 5027I 00021 99979 12 49 45 28 14 32 56io8 396 49892 Soi3o 397 49870 00022 99978 I I So iI 4-5 20 o 14 4o 8.5,6504 393 I49496 8.5052739311.49473 o.000229o-.99978 10 Si 45 12 4 48' 50897 39 49io3 502 390 49080 00ooo023 99977 89 52 45 4 i4 56 5287 386 48713 i3io 386 4869 00023 999 77 8 53 44 56 iS 4 51673 382 48327 51696 383 483o4 00023 99977 7 54 44 48 15 12 52055 379 47945 520o7 38o 47921 00024 99976 6 55 ii 44 4o 0 iS 20 8.52434 376 11.47566 8.52459 376 11.47541 10.000249.999 76 5 11 44~ ~; 4046 J II-476-4oj57438 10'02 -9997 56 44 32 1 28 52810 373 47190 52835 373 4765 oo00025 99975 4 57 44 24 iS 36 53i83 369 46817 53208 370 46792 00025 99975 3 58 44 i6 15 44 53552 367 46448 53578 367 46422 00026 99974 2 59 44 8 1i 52 S399 363 46o8i 3941 363 46o55 0oo0026 99974 6o 44 o i6 o 54282 36o 46578 543o8 36i 45692 o00026 99974 0 M Hourp.m. HourA.M.1 Cosine..Diff.1' Secant. Cotangent[Diff.1l Tangent. Cosecant. Sine. M 910 88 TABLE XXVII. [Page 187 Log. Sines, Tangents, and Secants. 20 1770 11 Hour A.M. Hour P.M. Sine. Diff ICosecant. Tangent. Diff.l'Cotangent Secant. Cosine. M o II 44 o o 6 z8.54282 36o 1-.45718 8.54308 36i 1i.45692 io.ooo269.99974 6o 43 52 i6 8 54642 357 45358 54669 358 4533I 00027 99973 59 2 43 44 I6 I6' 54999 355 45ooi 55027 355 44973 00027 99973 58 3 43 36 I6 24 55354 35i 44646 55382 352 446i8 00ooo028 99972 57 4 43 281 i6 32 55705 349 44295 55734 349 44266 00028 99972 56 5 I 43 20 0 i6 4o 8.56054 346 I1.43946 8.56o083 346 1143917 zO —.000299.999. 7 55 6 43 i2 i6 48 564oo 343 436oo00 56429 344 43571 ooo29 99971 54 7 43 4 i6 56 56743 34i 43257 56773 34i 43227 ooo03o 99970 53 8 42 56 17 4 57084 337 42916 57114 338 42886 ooo3 99970 52 9 42 48 17 12 57421 336 42579 57452 336 42548 ooo3i 99969 5i o10 II 4 4o 0 17 20o8.57757 332 II.42243 8.57788 333 11.42212 10.o00oo319.99969 50 II 42 32 17 28 58089 330 41911 58121 330 41879 00032 99968 49 12 42 24 I7 36 58419 328 4158i 5845i 328 41549 00032 99968 4 13 42 i6 17 44 58747 325 41253 58779 326 41221 000ooo33 99967 47 r4 42 8_ 17 52 59072 323 40928 59o05 323 40895 oo00033 99967 46 5 if 4a o o i8 0o8.59395320o 11.i40605 8.59428 321 11.40572 io.ooo339.99967 45 i6 4i 52 i8 8 59715 38 40285 59749 319 4025 000ooo34 99966 44 17 41 44 18 i6 6oo0033 3M6 39967 6oo0068 3i6 39932 oo00034 99966 43 i8 4i 36 i8 24 60349 313 39651 6o384 3i4 39616 ooo35 99965 42 I9 4I 28 i8 32 60662 3ii 39338 60698 3iI 39302 oo00036 99964 41 20 11 41 20 0 i8 40 8.6o973 3o09 H.39027.8.61oo9 3io iI.38991 0o.ooo369.99964 4o 21 4i 12 i8 48 61282 307 38718 61319 307 3868i 00037 99963 39 22 4i 4 i8 56 61589 305 384II 61626 305 38374 00037 99963 38 23 40 56 19 4 61894 302 38io6 61931 303 38069 oo00038 99962 37 24 40 48 19 12 62196 3oi 37804 62234 3oi 37766 oo00038 99962 36 25 II 40 40 0 19 20 8.6247 298 11.37503 8.62535 299 Ii.37465 1o.ooo3 99.99961 35 26 4o 32 19 28 62795 296 37205 62834 297 37166 00039 99961 34 27 40 24 19 36 63091 294 36909 6303 295 36869 oo040 99960 33 28 40 I6 9 44 63385 293 36615 63426 292 36574 ooo00040 99960 32 29 40 8 19 52 63678290 36322 63718 291 36282 ooo4i 99959 31 30 II 40 0 0 20 0o 8.63968 288 11.36032 8.64oo9 289 11.3599 0o.ooo 04i9.99959 30 31 39 52 20 8 64256 287 35744 64298 287 35702 o000oo42 99958 29 32 39 44 20 i6 64543 284 35457 64585 285 354i5 00042 99958 28 33 39 36 20 24 64827 283 35173 64870 284 35i3o oo00043 99957 27 34 39 28 20 32 65ixo 281 34890 65i54 281 34846 00044 99956 26 35 i 39,2o 0 20 4o 8.65391 279 zI.346o9 8.65435 280 ii.34565 1IO.00044o9.99956 25 36 39 12 20 48 65670 277 34330 65715 278 34285 oo00045 99955 24 37 39 4 20 56 65947 276 34053 65993 276 34007 00045 99955 23 38 38 56 21 4 66223 274 33777 66269 274 33731 00046 99954 22 39 38 48 21 12 66497 272 33503 66543 273 33457 00046 99954 2I 4o i o 38 40o 21 20 8.669 270 11.33231 8.668i6-271 II.33841IO.ooo00047 9.99953 20 4' 38 32 21 28 67039 269 3296! 67087 269 32913 00048 99952 19 42 38 24 21 36 67308 267 32692 67356 268 32644 oo00048 99952 i8 43 38 i6 21 44 67575 266 32425 67624 266 32376 00049 9995i 17 44 38 8 21 52 67841 263 32159 67890 264 32110o 00049 9995i i6 45 II 38 o o 22 o8.68io4 263 11.31896 8.6854263 ii.3x846 I.o. oooo5o9.999So 15 46 37 52 22 8 68367' 260 3i633 68417 26! 3i583 ooo5i 99949'4 47 37 44 22 i6 68627 259 31373 68678 260o 31322 ooo5: 99949 13 48 37 36 22 24 68886 258 3ixi4 68938 258 31o62 ooo00052 99948 12 49 37 28 22 32 69144 256 30856 69196 257 30804 00052 99948 II 50o ii 37 20 0 22 4o 8.69400 254.30600oo 8.69453 255 1r.30547 Io.oo53 9.99947 IO 5i 37 12 22 48 69654 253 30346 69708 254 30292 ooo00054 99946 9 5S2 37 4 22 56 699o7 252 30093 69962 252 3 00oo38 ooo54 99946 8 53 36 56 23 4 70159 250 29841 70214 25 29786 000oo55 99945 7 54 36 48 23 12 70409 249 29591 70465 249 29535 oo0o56 99944 6 55 i 36 4o 0o 23 20o 8.7o658 247 11.29342 8.70714 248 1.292861 io.o000oo569.99944 5 56 36 32 23 28 7o9o5 246 29095 70962 246 29038 00057 99943 4 57 36 24 23 36 7115I 244 28849 71208 245 28792 oo00058 99942 3 58 36 i6 23 44 7i395 243 28605 7V453 244 28547 oo00058 99942 2 59 36 8 23 52 71638 242 28362 71697 243 28303 00059 9994' I 60 36 o 24 0 71880o 240 28120 71940 241 28060 o00601 99940 0 M IHour P.M. Hour A.iM. Cosine. Diff. l':Secant. Cotangent Diff. 1i Tangent. Cosecant. Sine. M ~~~~~~~~920"~~~~~~~~ a~87' Page 188] TABLE XXVII. Log. Sines, Tangents, and Secants. 30 176~ M I-o,our AM.Hour r.I. Sine. Diff.Il'Cosecant. Tangent. Diffi.1'Cotangent Secant. Cosine. M o ii 36 o o 24 0 8.7188 240 11.28120 8.71940 241 11.28060 1o.ooo0006o9.9994o 5o 1 35 521 24 8 72120 239 27880 72181 239 2789 ooo00060 99940 59 2 35 44 24 I6 72359 238 2764[ 72420 239 27580 ooo0006i 99939 58 3 35 36 24 24 72597 237 27403 72659 237 27341 000ooo62 99938 57 4 35 28 24 32 72834 235 27166 72896 236 27104 00062 99938 56 5 Zi 35 20 0 24 4O 8.73069 234 1i.2693I 8.73132 234 11ii.26868 Io0.00639.99937 55 6 35 I2 24 48 73303 232 26697 73366 234 26634 ooo64 99936 54 7 35 4 24 56 73535 232 26465 73600 232 264oo00 000ooo64 99936 53 8 34 56 25 4 73767 230 26233 73832 231 26168 ooo65 99935 52 9 34 48 25 12 73997 229 26003 74063 229 25937 oo00066 99934 5I 1o ii 34 4 0 o 25 20 8.74226 228 11.25774 8.74292 229 11.25708 10.000ooo66 9.99934 50 1I 34 32 25 28 74454 226 25546 74521 227 25479 00067 99933 49 12 34 24 25 36 74680 226 25320 74748 226 25252 oo00068 99932 48 13 34 i6 25 44 74906 224 25094 74974 225 25026 00068 99932 47 i4 34 8 25 52 75130 223 24870 75199 224 2480o1 00069 99931 46 ii~ 34 0 o 26 0 8.75353 222 11.24647 8.75423 222 11.24577 10.000709.9993045 i6 33 52 26 8 75575 220 24425 75645 222 24355 00071 99929 44 17 33 44 26 i6 75795 220 24205 75867 220o 24133 00071 99929 43 i8 33 36 26 24 76o015 219 23985 76087 219 23913 00072 99928 42 i9 33 28 26 32 76234 217 23766 76306 219 23694 00073 99927 41 2o ii 33 20 o 26 4o 8.76451 216 Ii.23549 8.76525-217 1i.23475 10.000749.99926 4o 21I 33 12 26 48 76667 216 23333 76742 216 23258 00074 99926 39 22 33 4 26 56 76883 214 23117 76958 215 23042 00075 99925 38 23 32 56 27 4 17097 213 22903 77173 214 22827 00076 99924 37 24 32 48 27 12 77310 212 22690 77387 213 22613 00077 99923 36 25 II 32 4o o 27 20 8.7752 211 11.22478 8.77600oo 211 11.22400 10.000779.99923 35 26 32 32 27 28 77733 2Io 22267 77811 211 22189 00078 99922 34 27 32 24 27 36 77943 209 22057 78022 210 21978 00079 99921 33 28 32 i6 27 44 78152 208 21848 78232 209 21768 ooo00080o 99920 32 29 32 8 27 52 78360o 208 21640 78441 208 21559. 0oo8o 99920 31 3o ii 32 o0 o 28 0 8.78568 206 1.21432 8.78649 206 I.2351 10.00o.ooo8 9.99193o 3i 31 52 28 8 78774 205 21226 78855 206 2.145 00082 99918 29 32 31 44 28 i6 78979 204 21021 79061 205 0939 o000oo83 99917 28 33 3i 36 28 24 79183 203 20817 79266 204 20734 oo00083 99917 27 34 31 28 28 32 79386 202 20614 7947 203 20530 oo00084 99916 26 35' ii 3I 20 0 28 40 8.79588 201 11.20412 8.79673 202 11.20327 I0.000859.999I5 25 36 31 12 28 48 79789 201 20211o 79875 201 20125 ooo86 99914 24 4 8 ~~~2o2I2~500108 6 9.9913 37 31 4 28 56 79990 99 20010 80076 201 19924 00087 99913 23 38 30 56 29 4 8o018 199 19811 80277 199 19723 00087 99913 22 39 30 48 29 12 8o388 197 I9612 80476 198 19524 oo00088 99912 21 40o iI 30 4o 0 29 20 8.8o585 197 1.194I5 8.806741-98 ii.19326 Io.oo0899.9991i 20 4I 30 32 29 28 80782 196 19218 80872 196 19128 00090 99910 19 42 30 24 29 36 80978 195 19022 8io68 196 i8932 00091 99909 I8 43 30 I6 29 44 81173 i94 18827 81264 195 18736 0009I 99909 17 44 30 8 29 52 81367 193 x8633 81459 194 i854i 00092 999o i6 4511 3o 0 oo 3o 0 o8.8i56o 192 If.i8440 8.8i653 193 11.18347 10.ooo00939.99907 iS 46 29 52 30 8 81752 192 i8248 8846 192 i8154 00094 99906'4 47 29 44 30 i6 81944 I90 i8o56 82038 192 17962 00095 99905 1i3 48 29 36 30 24 82134 19o 17866 82230 Ig9 17770 00096 99904 12 49 29 28 30 32 82324 189 17676 82420 190 17580 000969994 ii 50.11 29 2o o 30 4o 8.82513 188 11.17487 8.826io 189 ITi.I1739o 1o.000o979.9993 io 51 29 i2 30 48 82701 187 17299 82799 i88 17201I 00098 99902 9 52 29 4 30 56 82888 187 17112 82987 i88 17013 00099 9990 8 53 28 56 3i 4 83075 i86 16925 83175 I86 16825 ooI00100oo 99900 7 54 28 48 31 12 83261 185 16739 8336i i86 16639 ooiOI 99899 6 55 -I 2840 o 31 20 8.83446 i84 ii.i6554 8.83547 I85 i1.16453 I0o.001029.99898 5 56 28 32 31 28 836301 183 16370 83732 i84 16268 00102 99898 4 57 28 24 3i 36 838i3 i83 16187 83916 184 i6084 ooio3 99897 3 58 28 i6 31 44 83996 8i I6oo004 84ioo 182 i5goo 0ooo4 99896 2 59 28 8 3i 52 84177 181 15823 84282 182 15718 ooio00105 99895 i 60o 28 o 32 0 84358 i8i 15642 84464 182 i5536 oo0o6 99894 0 M Hour P.i. HourAM. Cosine. Diffi 1' Secant. CotangentDiff.l' Tangent. Cosecant. Sine. M,0o 80' TABLE XXV I. [Page 189 Log. Sines, Tangents, and Secants. 42 175~ M Hour A.M. Hour P.M. Sine. Diffi. Cosecant. Tangent. Diff ll'Cotangent Secant. Cosine. M o II 28 o o 32 O 8.84358 181 II.I5642 8.84464- 182 1I I.5536 IO.OOIo6 9.99894 60 I 27 52 32 8 84539 I79 I546I 84646 180 I5354 OI07 99893 59 2 27 44 32 I6& 84718 I79 I5282 84826 I8o 15174 oo00108 99892 58 3 27 36 32 24 84897 178 i5io3 85006 I79 I4994 OOIO9 9989I 57 4 27 28 32 32 85075 I77 14925 85i85 178 i48I5 ooio9 99891 56 5 1I 27 20 O 32 4o 8.85252 177 11.I4748 8.85363 177 I -.14637 IO. oOIOJ 9.99890 55 6 27 12 32 48 85429 I76 14571 85540 I77 I446o oo001 99889 54 7 27 4 32 56 85605 175 I4395 85717 176 14283 0012 99888 53 8 26 56 33 4 85780 175 14220 85893 I76 14I07 OOII31 99887 52 9 26 48 33 I2 85955 173 14045 86069 174 I393I oo00114 99886 5I O II' 26 4o o 33 20 8.86128 173 II.I3872 8.86243 174 II.I3757 I O.OOI I5 9.99885 50 1I 26 32 33 28 863o0 173 I3699 86417 174 I3583 ooII6 99884 49 12 26 24 33 36 86474 I71 I3526 8659I 172 13409 00117 99883 48 I3 26 I6 33 44 86645 I71 i3355 86763 172 13237 OOII8 99882 47 I4 26 8 33 52 868i6 17I I3184 86935 171 i3065 00119 9988I 46 i5 II 26 O o 34 O 8.86987 69 i.I30oi3 8.87106 I71 II.12894 IO.00120o 9.99880 45 i6 25 52 34 8 87i56 I69 12844 87277 I70 I2723 0012I 99879 44 17 25 44 34 i6 87325 169 I2675. 87447 I69 I2553 00121 99879 43 i8 25 36 34 24 87494 167 I2506 87616 I69 I2384 00122 99878 42 19 25 28 34 32 8766I 168 I2339 87785 i68 I22I5 oo023 99877 4I 20 II 25 20 0 34 4o 8.87829 166 I1.I217I 8.87953 167 II.I2047 IO.00124 9.99876 4o 21 25 I2 34 48 87995 i66 I2005 88I20 167 11880 00125 99875 39 22 25 4 34 56 88i6I i65 I1839 88287 i66 11713 00126 99874 38 23 24 56 35 4 88326 I64 II674 88453 i65 II547 ooI27 99873 37 24 24 48 35 I2 88490 i64 II5Io 886i8 i65 11382 0028 99872 36 25 II 24 4o o 35 20 8.88654 i63 ii.II346 8.88783 i65 11.11217 1000o.oo 129 9.99871 35 26 24 32 35 28 88817 I63 iii83 88948 i63 11052 00130 99870 34 27 24 24 35 36 88980 162 II1020 8911I 163 10889 ooI3I 99869 33 28 24 I6 35 44 89142 I62 o10858 89274 63 10726 00132 99868 32 29 24 8 35 52 89304 i6o0 I696 89437 16I io563 ooI33 99867 31 30 II 24 O 0 36 O 8.89464 161 II.io536 8.89598 162 II.10402 IO.OOI 34 9.99866 30 31 23 52 36 8 89625 159 IO375 89760 I6o Io240 oo00135 99865 29 32 23 44 36 16 89784 I59 10216 89920 16o0 o10080 oo36 99864 28 33 23 36. 36 24 89943 159 10057 90080 I6o 09920 00137 99863 27 34 23 28 36 32 90102 I58 09898 90240 159 09760 00138 99862 26 3511I 23 20 0 36 4o 8.90260 157 II.09740 8.90399 i58 II.o960I IO.OOI39 9.9986I 25 36 23 I2 36 48 904I7 I57 09583 go90557 i58 09443 ooi4o 99860 24 37 23 4 36 56 90574 i56 09426 907I5 I57 09285 ooI4I 99859 23 38 22 56 37 4 90730 i55 09270 90872 157 09128 oo0042 99858 22 39 - 22 48 37 12 90885 155 o9II5 9IO29 i56 08971 oo00143 99857 21 4o 11 22 40 o 37 20 8.91o40 i55 11.o8960 8.91185 I55 ii.o88i5 Io.OOI44 9.99856 20 41 22 32 37 28 9II95 i54 08805 91340 155 o8660 oo00145 99855 I9 42 22 24 37 36 9I349 i53 0865i 9I495 155 08505 00146 99854 I8 43' 22 i6 37 44 91502 153 08498 91650 153 08350 00147 99853 17 44 22 8 37 52 91655 152 08345 91803 154 08197 oo00148 99852 16 45 11 22 o 0 38 o 8.91807 152 II.o8I93 8.91957 i53 II.o8043 Io-.oo 4 9 9.9985I 15 46 2I 52 38 8 91959 151 o8o04I 92110 152 07890 00150 99850 i4 47 2I 44 38 i6 9210 I5I 07890 92262 I52 07738 oo00152 99848 13 48 21 36 38 24 9226 150o 07739 924I4 I5i 07586 oo00153 99847 I2 49 21 28 38 32 92411 150 07589 92565 I5i 07435 ooi54 99846 II 50Io 1 2I0 ) 38 40 8.9256 I149 II.o7439 8.92716 150 11.07284 io.ooi55 9.99845 Io 51 2I 12 38 48 92710 I49 07290 92866 I50o 0734 ooI56 99844 9 52 2I 4 38 56 92859 i48 07141 930I6 I49 06984 001I57 99843 8 53 20 56 39 4 9.3007 147 06993 93165 I48 o6835 ooi58 99842 7 54 20o 48 39 I2 93154 i47 o6846 93313 149 06687 ooI59 99841 6 55 II 20 4o 0 39 20 8.9330I I47 II.o6699 8.93462 147 II.o6538 Io.ooi6o 9.99840 5 56 20 32 39 28 93448 I46 o6552 93609 I47 06391 oo0161 99839 4 57 20 24 39 36 93594 I46 o6406 93756 I47 06244 oo00162 99838 3 58 20 i6 39 44 93740 i45 o626o 93903 I46 o6097 o0I63 99837 2 59 20o 8 39 52 93885 i45 o6II5 94049 i46 o5951 ooi64 99836 60o 20 o 4o0 94030 I44 05970 949I I45 o5o5 ooi66 99834 O M Hour P.M. Hlour A.M. Cosine. Diff. 1' Secant. Cotangent Diff. 1' Tangent. Cosecant. Sine. M )4.o 85~ Page 1901 Page 1901 TABLE XXVII..~s~, ~ Log. Sines, Tangents, and Secants.. 50 A A B B C C 1740 1I Hour AM. Hour P.M. Sine. Diff. Cosecant. Tangent. Di. Cotangent Secant. Diff. Cosine. MI 01 I 20 00 0 40 o 8.943o 01.05970 8.94195 olii.o58o5 iD.oo66 o 9.99834 6o I 19 52 40 8 94174 2 05826 94340 2 o56o 00167 0 99833 59 2 Ig 44 4o i6 94317 4 o5683 94485 4 o55i5 ooi68 o 99832 58 3 9g 36 40 24 94461 7 05539 94630 7 05370 oo069 o 99831 57 41 I9 28 4o 32 94603 9 05397 94773 9 05227 00170 0 99830 56 5 II 19 20 0 4o 40 ~894746 Ii 7._5254 8.94917 IIii.o5o831. 7 0 9.99829 55 6 19 12 4o 48 94887 13 o5ii3 95060 3 04940 00172 0 99828 54 7 19 4 4o 56 95029 i 04971 95202 i5 04798 o00173 0 99827 53 8 i8 56 4i 4 95170 i8 o483o 95344 i8 o4656 00175l o 99825 52 9 i8 48 4r 12 953o 20 04690 95486 2o o45i4 oo00176 o 99824 15I io II i8 40 0 41 20 8.95450.22 II.o455o 8.95627 2201104373 10.00177 0 9.99823 So 11 i8 32 4I 28 95589 24 044i 95767 24 04233 0o0178 o 99822 49 12 i8 24 41 36 95728 26 04272 95908 27 04092 0079 0 99821 48 13 i8 i6 41 44 95867 29 o4i33 96047 29 03953 ooi8o 99820 47 4 i8 8 41 52 96oo005 31 03995 96187 31 o38i3 ooi8i o 99819J46 S 11- i8 0 0 42 018.961433311.03857 8.96325331ii.03675 ilo.ooi83o 09.99817 45 i6 I7, 52 42 8 96280 35 0J72 96464 35 o3536 ooi84 0 99816 44 17 17 44 42 i6 96417 37 03583 96602 38 03398 ooi85 0 99815 43 i8 1I 36 42 24 96553 39 03447 96739 40o 03261 ooi86 o 99814 42 19 17 28 42 32 96689 42 o33ii 96877 42 03123 0oI87 0 99813 41 20 II 17 20 42 4o 8.96825 I411.03175 89703441 o29871Io.ooI88 i 9.998i2 4 21 17 12 42 48 96960 46 03040 97150 46 02850 oogo o 99810 39 22 17 4 42 56 97095 48 0295 97285 49 02715 ooi9gi o 99809 38 23 i6 56 43 4 97229 50 02771 9742I 5'i 02579 00192 o 99808 37 24 i6 48 43 12 97363 53 02637 97556 53 02444 00193 0 99807 36 2511 i 6 40 o 43 201 8.97496'551-.02504 8.97691 5511.o 2309 10.00941 I 9.99806 35 26 i6 32 43 28 97629 57 02371 97825 58 027 o0196 I 99804 34 27 i6 24 43 36 97762 59 02238 97959 6o 02041 00o97 I 99803 33 28 i6 i6 43 44 97894 61 o02o6 98092 62 0Igo8 ooi98 I 99802 32 29 i6 8 43 52 98026 64 OI974 98225 64 OI775 0oo099 I 998o01 31 3o II i6 0 044 081.9815716611.o1843 8.98358 661.o642 Io.oooo 00200 I 9.99800130 3i 15 5 5 44 8 982881 68 oi72 98490 69 oi5io 00202 I 99798 29 32 15 44 44 i6 98419 70 oi58i 98622 71 0o378 00203 I 99797 28 33 i5 36 44 24 98549 72 oI45i 98753 73 o01247 00204 I 99796 27 34 15 28 44 32 98679 75 01oi321 98884 75 oiii6 00205 I 99795 26 35 Ii i 20 0o44 4o 18.98808 77 11. OI192 8.990i5 77 1.009851 o.00207 I 19-99793 25 36 i5 12 44 48 98937 79 oio63 99145 8o oo855 00208 I 99792 24 37 i5 4 44 561 99066 8i1 oo934 99275 82 00725 00209o I 9979'1 23 38'i4 561, 45 4 99194 83 oo8o6 99405 84 o00595 oo00210 I 99790 22 39 14 48.45 12 99322 86 00oo678 99534 86 oo466 00212 I 99788 21 4o II 4 44o o 45 20 8.99450 88II.oo550 8.99662 891.00oo3381 0.00213 I 9.99787 20 41 i4 32 45 28 99577 90 00423 99791 91 00209 00214 I 99786 19 42 14 24 45 36 99704 92 o00296 99919 93 ooo8i 00215 99785 i8 43 14 i6 45 44 9983o 94 00170 9o.00046 95 1099954 00217 I 99783 17 44 14 8 45 52 99956 96 ooo00044 00174 97 99826 oo00218 I 997821 i6 45 1I 14 oo-46 09.ooo82 99 10.99918 9.o00301o Iooio.99699 10.00219 I 199978. 15 46 13 52 46 8 00207 101o 99793 00427 102 99573 00220 I 99780 i4 47 13 44 46 i6 oo00332 io3 99668 oo553 io4 99447 00222 I 99778 13 48 i3 36 46 24 oo004561 Io5 99544 00679 io6 99321 00223 I 99777 12 49 13 28 46 32 oo58i 107 994,9 oo8o51 o8 99195 00224 I 99776 II o "II i3 20 o 46 4o19.00704 10 -o0.9926 9.00930 III 10.99070 10.00225 I 9.99775 1io Si 13 12 46 48 00oo828 2 99172 oio55113 98945 0022oo7 I 99773 9 52 iS 4 46 56 oo0095 14 99049 011791 uS1 98821 00228 I 99772 8 53 12 56 47 4 01074 16 98926 oi3o3 117 98697 00229 I 99771 7 54 12 48 47 12 o01196 ii8 98804 01427 1201 98573 00231 I 99769 6 55 II 12 40 0 47 20 9.01318 121 10.98682 9.015501 I22 10.98450 10.00232 I 9.99768 5 56 12 32 47 28 01440 123 98560 01673 124 98327 00233 I 99767 4 57 12 24 47 36 oi56i 125 98439 01796 126 98204 oo00235 I 99765 3 58 1 2 i6 47 44 01o682, 127 98318 01918 I28 98082 00236 I 99764 2 59 12 8 47 52 oi8o3 129 98197 02040 i3i 97960 00237 I 99763 I 60 12 0 48 0 01923 132 98077 02162 I33 97838 00239 I 99761 o M Hour P.m. Hour AM. Cosine. Diffe. Secant. CotangenDiff. Tangent. Cosecant. Dff. Sine. 950 A A B B C C 84' Seconds of time...... Is 3 4 5 6' 7 A i6 33 49166 82 99 115 Prop. parts of cols. B 17 33 So 66 83 0oo 0 i6 C 0 0 o i I I I TABLE XXVII. [Page 191 S GI.Gr Log. Sines, Tangents, and Secants. 60 A A B B C C 1730 M I'ourA.m. Hour pnr.m Sine. Diff. Cosecant. Tangent. Diff. Cotangent Secant. Diff. Cosine. M 0'II 2 oI a 48 o 9.01923 0 0o.98077 9.02162 0 10.978381 io.oo239 0 9.9976 6o I II 52 48 8 02043 2 97957 02283 2 97717 00240 0 9976 59 2 iI 44 48 i6 02163 4 97837 02404 4 97596 oo00241 0 99759 58 3 II 36 48 24 02283 6 97717 02525 6 97475 00243 0 99757 57 4 I 28 48 32 02402 7 97598 02645 8 97355 00244 0 99756 56 5 I 20 0 48 4o 9.02520 910.97480 9.02766 910.9723410.00245 0 9.99755 55 z~~~~ ~ ~ ~~ z0978 9.876[ 973 6J'i 12 48 48 02639 II 97361 885 i 975 0247 0 99753 54 93I 028851, /i 9973154 7 Ii 4 48 56 2757 13 97243 35 13 96995 00248t 0o 99752 53 48 56 -757 l 97243 9975 99513o28 8 io 56 49 4 o2874 15 97126 0324 15 96876 o00249 o0 99751 52 9 io 48 49 12 02992 17 97008 03242 17 96758 00251 0 99749 Si J~iI io 4o1 0 49 20 9.0310 ig io.96891 9.03361 1910.96639 o10.002520 9o 99748 5o II io 32 49 28 0322 20 96774 03479 2! 96521 00253 0 99747 49 /12 Io 24 49 36 03342 22 96658 o3597 23 96403 00255 0 99745 48 13 io i6 49 44 o3458 24 96542 03714 24 96286 00256 0 99744 47 _4 io 8 49 52 03574 26 96426 03832 26 9668 o0258 0 99742 46 I5 ii 10 0 0 So 0 9.036901 28 1o.9631 9.03948l28io.96052 -0.00259 0 9-99741 45 1i6 9 5 So 8 o38o5 3o 9695 o4o65 3o 95935 o00260 o 99740o 44 1I7 9 44 5o i6 o39o2 3i 96080 o04i8i 32 95819 oo00262 0 99738 43 i8 9 36 50 24 o4o34 33 95966 04297 34 95703 00263 0 99737 42 19 9 28 5o 32 04149 35 95851 o44i3 36 95587 00264 0 99736 4' 20 JI 9 20 0 50 40 9.04262 37 10.95738 9.04528 38 10.95472 10.00266 0 9.99734 4o 21 9 12 50 48 04376 39 95624 o4643 39 95357 00267 I 99733 39 22 9 4 So 56 04490 4i 955io 04758 4i 95242 00269 I 99731 38 231 8 56 Si 4 o46o3 43 95397 04873 43 95127 00270 I 99730 37 24 8 48 5i I2 04715 L44 95285 04987 45 95013 00272 I 99728 36 25 Hi- 8 40o 0 5 20 19.04828 46o0.95172 9.05'01 471-0.94899 10.00273 I 9.99727 35 26 8 32 Si 28 04940 48 95060 05214 49 94786 00274 I 99726 34 27 8 24 5i 36 05052 So 94948 05328 Si 94672 00276 I 99724 33 28 8 i6 5i 44 o5i64 52 94836 o544i 53 94559 00277 I 99723 32 29 8 8 Si 52 05275 54 94725 o5553 54 94447 00279 I 99721 31 30 ii 8 o0 o 52 0o9.05386 56 10.94614 9.05666 5610.94334 10.00280 I 9.99720 3o 31 7 52 52 8 05497 57 94503 05778 58i 94222 00282 I 99718 29 ia3 7 57l43 94222 o o 9718 32 7 44 52 i6 05607 59 94393 05890 6o 941Io 00283 1 99717 28:33 7 36 52 24 05717 6i 94283 06002 62 93998 00284 I 99716 27 34 7 28 52 32 05827 63 94/173 o6ii3 64 93887 oo286 I 99714 26 35 II 7 20 o 52 4o 9.05937 6510.94063 9.06224 6610.93776 10.00287 I 9.997i3 25 361 7 12 52 48 o6o46 67 93954 o6335 68 93665 ooz289 997124 37 7 4 52 56 o6i55 69 93845 o6445 69 93555 00290 I 99710 23 38 6 56 53 4 06264 70 93736 o6556 71 93444 00292 I 99708 22 39 6 48 5312 I 06372 72 93628 o6666 73 93334 00293 I 99707 21 40o II 6 4o 0 53 209.06481 74 10.93519 906775 7510.93225 0.00295 I 9.997051 20o 4' 6 32 53 28 06589 76 93411 o6885 77 93115 00296 I 99704 19 42 6 24 53 36 o6696 78 93304 0699 79 93006 00298 I 99702 i8 43 6 i6 53 44 o6804 8o 93196 07103 8i 92897 00299 1 99701 17 44 6 8 53 52 06911 8i 93089 07211 83 92789 oo3oi I 99699 i6 45'i 6 o 54 09.07OI8 8310.92982 9.0732 8410.92')8010.00302 I 9.996987 i 46 5 52 54 8 07124 85 92876 07428 86 92572 oo304 J 99696 14 47 5 44 54 16 07231 87 92769 07536 88 92464 oo305 I 99695 13 48 5 36 54 24 07337 89 92663 07643 90 92357 00307 I 99693 12 49 5 28 54 32 07442 91 92558 07751 92.92249 oo3o8 I 99692 II o iI 5 20 0 54 4 9.07548 93 10.92452 9.07858940.9242 io.oo3io I 9.996901 Si 5 I2 54 48 07653 94 92347 07964 96 9236 oo3i I 996899 52 5 4 54 56 07758 96 92242 08071 98 91929 oo3i3 1 99687 53 4 56 55 4 07863 98 92137 08177 99 91823 oo314 99686 7 54 4 48 55 12 07968 1oo 92032 08283 ioi 91717 oo3i6 1 99684 6 55 iI 4 40 o 55 20 9.08072 102 10.91928 9.08389 Io3 1o.g961I i0.00317 I 9.99683 5 56 4 32 55 28 08176 1o4 91824 08495 io5 g505 9 oo39 I 99681 4 57 4 24 55 36 08280 io6 91720 o86oo I07 91400 00320 I 99680 3 58 4 16 55 44 o8383 107 91617 08705 109 91295 00322 I 99678 2 59 4 8 55 52 o8486 109 91514 o88io IIl g91go 00323 1 99677 I 6o 4 0 56 0 08589 III 914II 08914 ii3 gIO86 00325 I 99675 0 Hourp.m.IHour.A:.m Cosine. IDiff., Secant. iCotangentDiff., Tangent. Cosecant. Diff. Sine, 1 96(3 A A B B C C 83I Seconds of time...... P 2- 3' 4s 5s 6- 7s 3i a. I(A 14 28 42 56 69 83 97l Prop. 8 arts otcos. ~' B'14 28 42 56 70 84 98 C I 0 I II 3I Io Page 102] TABLE XXVI1. S. Log. Sines, Tangents, and Secants. G. 70 A A B B C C 1720 M Hcur A M. Hour P.M. Sine. Diff. Cosecant. Tangent. [Diff. Cotangent Secant. Diff. Cosine. M o I 4I 0oo 56 o 9.08589 o0.9 4i 9.o8094 o4 o.9o86 1.o.oo3 325 o 9.99675 60 352 56 8 08692 2 91308 090oi9 2 go98I 00326 0 99674 59 2 3 44 66 i6 08795 3 91205 09123 3 90877 003280 99672 58 3 3 36 56 24 08897 5 91xo3 09227 5 90773 oo33~ C 99670 57 4 3 28 56 32 8999 6 001 09o330 7 go670 oo33i o 99669 56 5iI 3 20o56 4o 9g.090o 8io0.90o899 9.o9434 8 1o.90566 io.oo333 0 9.99667 55 6 3 12 56 48 o09202 10o 90798 09537 10o 90463 oo00334 0 99666 54 7 3 4 56 56 09304o I 90696 09640 11 9360 oo336 0 99664 53 8 256 57 4 09405 13 90595 09742 13 90258 00337 0 99663 52 9 248 57 12 09506 I4 90494 09845 15 90o55 00339 9966 51 I0 II 2 4o 0 57 20 9.09606 16 i0.90394 9.09947 i6 io.90053 io0.0034I1 o19.99659 50 II 2 32 57 28 09707 18 90293 I0o49 i8 8995i oo00342 0 99658 49 12 2 24 57 36 69807 I9 goi93 ioi5o 20 89850 oo00344 o 99656 48 13 2 i6 57 44 o099o071 goo93 10ro252 21r 89748 o00345 o 99655 47 i4 2 8 57 52 iooo6 22 89994 io353 23 89647 00347 0 99653 46 15 ii 2 0o o58 o 9.o0o6 2-41 o.89894 9.10454 24 io.89546 IO.o0O349 0 9.99651 45 i6 52 58 8 10205 26 89795 io555 26 89445 oo35o o 99650 44 17 144 58 i6 Io3O4 27 89696 io656 28 89344 oo00352 o 99648 43 i8 I 36 58 24 10402 29 89598 10756 29 89244 oo00353 I 99647 42 19 I28 58 32 io5oi 30 89499 io856 3i 89144 00oo355 1 99645 4i o20 II I 20o o 58 4o.io599 32 o.894o0 9.1o956 33 0o.89o 44 0.0357 I 9.99643 4o 21 I 12 58 48 IO697 34 89303 iio56 34 88944 00oo358 i 99642 39 22 4 58 56 I0795 35 89205 ii55 36 88845 oo00360 I 99640 38 23 0 56 59 4 1o893 37 89107 11254 37 88746 oo00362 I 99638 37 24 0 48 59 12 10990 38 89oio Ii353 39 88647 oo00363 I 99637 36 5 II 0 40oo 59 2..Iio87 4010o.889r3 9.ii452 4' io.88548 io.oO365 I 9.99635 35 26 o 32 59 28 iii84 42 888i6 11551 42 88449 00367 I 99633 34 27 o 24 5936 28 43 88719 1164 44 88351 oo368 I 99632 33 28 0 I6 59 44 11377 45 88623 11747 46 88253 00370 I 99630 32 29 0 8 59 52 11474 46 88526 ii845 47 8855 00371 I 99629 31 30o o o 0 1 0o 09.I57o 48 io.8843o 9.'1943 49 1O.88057 1.oo 0373 I 9.99627 30 31i Io 59 52 0 8 ii666 50 88334 i2O40 5i 87960 00375 I 99625129 32 59 44 0 i6 II761 5i 88239 12138 52 87862 00376 I 99624 28 33 59 36 0 24 11857 53 88143 12235 54 87765 oo378 I 99622 27 34 59 28 0 32 11952 54 88048 12332 55 87668 o0038 996206 35 i0 59 2 0 4o 9.12047 56 io.87953 9.I2428 57 10.87572 o10.00382 I 9.99618 25 36 59 I2 o 48 I2142 58 87858 12525 59 87475 oo00383 I 99617 24 37 59 4 o 56 12236 59 87764 12621 60 87379 oo00385 1 99615 23 38 58 56 4 12331 6i 87669 12717 62 87283 00387 I 99613 22 39 58 48 I 12 12425 62 87575 12813 64 87187 00oo388 I 99612 21 401o 58 4o0 I 20 9..I2519 6i4 o.87481i 9.12909 65 0.87091 io.oo39o 9.996o0 o20 4' 58 32 I28 I26I2 66 87388 i3oo4 67 86996 00392 I 99608 19 42 58 24 36.12706 67 87294 i3099 68 8690o 00oo393 I 99607 i8 43 58 i6 44 12799 69 87201 I3194 70 86806 oo00395 I 99605 17 44 58 8 52 12892 70 87108 13289 72 86711 oo397 I 99603 i6 45, o 5 -- 0 I 2 0 9.12985 72 o10.87015 9.13384 73 io.866i6 io.oo 399 1 9.9960o 15 46 57 52 2 8 13078 74 86922 13478 75 86522 oo4oo I 99600 i4 47 57 44 2 i6 13171 75 86829 13573 77 86427 00402 I 99598 13 48 57 36 2 24 13263 77 86737 13667 78 86333 00oo4o4 I 995961I2 49 57 28 232 13355178 86645 13761 80 86239 00405 1 99595 iI 50oi 5 20 I1 2 4o 9.3447 80 io.8655T3 9.i3854 8-i-o.86i46 1o.oo4o 7 9 99593 1o 51 57 2 2 48 13539 82 8646i i3948 83 86052 00409 I 99591 9 52 57 4 2 56 i363o 83 86370 i4o4i 85 85959 00oo4 I 99589 8 53 56 56 3 4 i3722 85 86278 14134 86 85866 00412 I 99588 7 54 56 48 3 12 03803 87 86187 14227 88 85773 00oo44 a 99586 6 55 o 56 40 3 20 9.-3904 88 IO.86o96 9.14320 90 io.8568o.oo.0416 2 9.99584 5 56 56 32 3 28 13994 90 86oo006 i442 91 85588 oo4i8 2 99582 4 57 56 24 3 36 14085 91 85915 i45o4 93 85496 00oo419 2 99581 3 58 56 i6 3 44 I4v75 93 85825 14597 95 85403 oo00421 2 99579 2 59 56 8 3 52 14266 95 85734 I4688 96 85312 00423 2 99577 I 60 56 o 4 i4356 96 85644 147801 98 85220 00425 2 99575 o M HourP.M. H1ourA.M. Cosine. Diff. Secant. Cotangent Diff. Tangent. Cosecant. Diff. Sine. M 970 A A B B C C82 Seconds of time... Pt 24 3s 49 58 68 7J A 2 94 36 48 6o 72 84 Prop. parts of colsj B 12 24 3 49 61 73 86 C O O 3~ I TABLE XXVII. rPage 193 S Log. Sines, Tangents, and Secants. G 8_ _ A A B B C C 1710 M H our Ae. Hourp.M. Sine. Diff1Cosecant. Tangent. Dff. Cotangent Secant. Diff. Cosine. M I~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~o82o 566Io.oo425 o 9.99575 6 0 10 56 0 I 4 0 9.14356 o00.85644 9. 14780 o0.85220 10.00 425 0 9.995756o I 55 52 4 8 I4445 I 85555 148721 85128 00426 99574 59 2 55 44 4 16 14535 3 85465 14963 3 85037 00428 0 99572 58 3 55 36 4 24 i4624 4 85376 i5o54 4 84946 oo43o1 0 99570 57 4 55 28 4 32 147i4! 6 85286 15145 6 84855 00432 0 99568 56 5 Io 55 20 1 4 4o 9.14803 7" 10.85197 9.15236 7 10.84764 io.oo434 o 9.99566 55 6 55 12 4 48 14891 8 85o109 15327 9 84673 00435 0 99565 54 7 55 4 456 14980o Io 85020 15417 IO 84583 00437 0 99563 53 8 54 56 5 4 150691 Ii 84931 i5508 12 84492 00439 o 99561 52 9 54 48 5 2 151571 i3 84843 15598 13 84402 oo44i 0 9955951 io Io 54 4o I 52 9.1524515 41 0.84755 9.15688 i40.84312 io.oo443 o 9.99557 5o II 54 32 5 28'53331 i6 84667 15777 i6 84223 oo444 99556 49 12 54 24 5 36 15421 I7 84579 15867 17 84i33 oo446 0 99554 48 i4 5 3 ~ 15920 844 i460 83954J oo458lo 0 99550 4 13 54 i6 5 44 i55o8 i8 84492 15956 19 8444 00448 o 99552 47 14 54 8! 5 52,55961.o 844041 i6o461 a 83954 4o45o 9955o 46 5'o 540o I 6 o 9.5683 21 10.84317 9.16135 22 io.83865 1o0.00452 0 9.99548 45 i6 53 52 6 8' 15770 23 84230 i6224 23 83776 oo454 I 99546 44 7 53 44 6 16 15857' 24 84143 16312 25 83688 oo455 I 99545 43 i8 53 36 6 24 15944 25 84o56 i64oi 26 83599 00o457 99543 42 19 53 28 6 32 i6030 27 83970 16489 27 835il 0045 I 99541 41 20o10 53:o z 6 40 9.i6.*,6 28 io.83884 9.I6577a 29 -io.83423 io- 46io I'9.99539 4o 21 53 12 6 48 6203 30o 83797 i6665 30o 83335 oo463 99537 39 22 53 4 656 16289 3i 837II 16753 32 83247 00465 1 99535 38 23 52 56 7 4 16374 32 83626 i684i 33 83159 00467 I 99533 37 24 52 48% 7 12 i646o 34 8354o 16928 35 83072 oo468 I 99532 36 25 io 52 4o 7 20 9.16545 35 io.83455 9.17016 36 io.82984 10oo 00470 9.99530 35 26 52 32 728 i1663l 37 83369 17o103 37 82897 00472 I 99528 34 27 52 24 7 36 16716 38 83284 17190o 39 82810 00474 I 9926 33 28 52 I6 7 44 16801o 39 83199 17277 4 82723 00476 1 9952432 9~~ ~~7417-7 403 7 __oo4'761_ 99524 32 29 52 8.7 52 i6886 4i 83ii4 17363 42 82637 00478 I 99522 ]i 3o In 52 o 8 0 9.16970 42 10.83030 9.17450 43 10.82550 io.oo4 o I 9.99520, o 3i 5i 52 8 8 17055' 44 82945 17536 45 82464 00482 I 99518 29 32 5i 44 8 16 17139 45 82861 17622 46 82378 oo483 I 99517 28 33 5i 36 824 17223 47 82777 17708 48 82292 oo485 I 99515 27 34 5 28 8 32 17307 48 82693 I7794 49 82206 00487 I 99513 26 S35 io SttI 20 8i 4o.I7g9I 49 10.82609 9.17880 5So 0.82120 1o.oo489 I o9.995I 25 36 5i 12 8 48 17474 5i 82526 17965 52 82035 00491 I 99509 24 37 5i 4 8 56 17558 52 82442 i8o5i 53 81949 00493 1 99507 23 38 50 56 9 4 17641 54 82359,8i36 55 8864 00oo495 I 99505 22 39 50 48 9 12 17724 55 82276 18221 56 81779 00497 I 99503 21 4o lo 50 40 I 9 20 9.17807! 56 i0.82193 9.18306 5810.81694 1o.oo 49 I 9.9950oz 2 4J 50 32J 928 I789o 58 82IIo 18391 59 81609 oo5oi I 99499'9 42 50 24 9 36 17973 59 82027 18475 6i 81525 oo I 99497 i8 43 5o i6 9 44 i8o55 6i 81945 i856o 62 8z44o oo5o5 I 99495 17 44 50 8 9 52 18137 62 8,863 i8644 63 81356 oo5o6 99494 i6 45 io 5o 0 oI IO 9.18220o 63o. 1081780 9.i8728 65 l.812721o.oo 508 I 19.99492 IS 46 49 52 io 8 18302 65 81698 18812 66 8ii88 oo5io I 99490 14 47 49 44 Io i6 i8383 66 81617 18896 68 8i1o4 00512 I 99488 i3 48 49 36 10 24 i8465 68 8i535 18979 69 821 I oo514 2 99486 12 49 49 28 10 32 18547 69 8,453 19o63 71 80937 oo~ i6 2 99484 I, T5lo 49 20! Io 4o 9.18628 71 o10.81372 9.946 72 /o.8o854 I'o.005 8 29.99482 o0 5i 49 12 1o 48 18709 72 8:1291 19229 74 80771 00520 2 99480 9 52 49 4 Io 56 18790 73 81210 19312 75 8o688 00oo522 2 99478 8 53 48 56 ii 4 18871 75 81129 19395 76 8o6o5 00oo524 2 99476 7 54 48 48 I, 12 18952 76i 81o48 19478 78 80522 oo00526 2 99474 6 55 io 48 4o I II 20 9.19033 78 10.80967 9.19561 79 1o.80439 10.00528 2 9.99472 5 56 48 32 11 28 19113 79 8o887 19643 8i 80357. oo530 2 99470 4 57 48 24 II 36 19193 80o 80807 19725 82 80275 00oo532 2 99468 3 58 48 i6 i, 44 19273 82 80727 19807 84 8o0193 oo534 2 99466 9 59 48 8 it 52 19353 83 80647 I9889 85 8oii! oo5361 2 99464 1 6o 48 0 120 19433 85 80567 I9971 87 80029 oo538 2 99462 o M Hour P.i. HourA.M. Cosine. Diff.l Secant. CotangentDff.i Tangent. Cosecant. Diff. Sine. I M 98~ A A B B C C 81o Seconds of time.....' 21 3 4' 5i' 6i' 7 A II 21 32 42 53 63 74 Prop parts of cols B I 22 32 43 j1S1 65 76 CI 0 I I 11 I 2 25 Page 1941 TABLE, XXVII. St. Log. Sines, Tangents, and Secants. G. 90 A A B B C C 1700 M Hour A.M. Hour P.M. Sine. Dff. Cosecant. Tangent. Diff. Cotangent Secant. Diff'iCosine. M o io 48 o I 12 0./9433 oio.80567 9.-19971 0 10.80029 o.oo53809.99462 6o 47 52 12 8 I9513 I 80487 2oo53 I 79947 oo54o0 99460 59 2 4 44 12 i6 19592 3 8o4o8 20134 3 79866 00542 0 99458 58 3 47 36 I2 24 I9672 4 80328 20216 4 79784 oo544 0 99456 57 4 47 28 12 32 1975 5 80249 202975 79703 oo546 0 99454 56 5io 4- 20 12 4o 9.19830 6 0.80170 9.20o378 6 0.79622 io.oo548 o 9.99452 55 61 47 12 1248 19909 8 80091 20459 7954 oo55o0 99450 54 7 4 4 I2 56 19988 9 80012 20540 9 79460 00552 0 99448 53 7 47 9 o o 1 9 7946 ~ / 944 8 46 56 13 4 2oo67 I 79933 o20621 10 79379 oo554 o 99446 52 9 46 48 13 12 20145 II 79855 20701 2 79299 oo556 0 99444 5 Io 46 4o 1 13 20 9.20223 13 0.I79777 9.20782;3.792 o.oo558 o 9.99442, o'0l7o.7l I3/o.792i8/:~o5 II 46 32 13'28 20302 14 79698 20862 14 79138 oo56o 99440 49 12 46 24 13 36 2o380 5 79620 20942 i6 79058 o00562 o 99438 48 13 46 i6 13 44 20458 i6 79542 21O22 I7 78978 oo564 o 99436 4l'4 46 8 i3 52 20535 I8 2II02 i8 78898 oo566 o 99434 46 iS Io 46 0 I14 0 9.206131 k 10.793871 9.2i1821 1 o0.78818 Io.oo568 I 9.99432 45 19 10793657 19J I78898Ji.o i6 45 52'4 8 20691 20 79309 21261 21 78739 00571 1 99429 44 17 45 44 i4 i6 20768 21 79232 2134 22 78659 oo00573 I 99427 43 18 45 36 14 24 20845 23 79155 21420 23 78580 00575 I 99425 42 19 45 28 i4 32 20922 24 79078 21'499 25 7850 00577 I 99423 41 20 iO 45 20I 1 4 4o 9.20999 25 10.79001 9.2i578 26 10.78422 10.00579 I 999421 4_ 21 45 4 48 2076 26 7924 21657 27 78343 oo58i I 9949 39 4i5,2 1'4 48J 2Io76 a6J 7892`41'o:7 1 ~ ~: ~l" 22 45 4 14 56 21153 28 78847 21736 28 78264 oo00583 I 99417 38 23 44 56 iS 4 21229 29 78771 21814 3o 78186 oo585 1 99415 37 24 44 4 5 12 21306 3o 78694 21893 3 78107 00587 I 99413 25 io 44 4 I.382 3.868 9.297 1 3210.78029 0.00589 I 9.9941 35 26 44 32 I5 28 21458 33 78542 22049 34 77951 00591 I 99409 34 27 44 24 6S36 21534 34 78466 22127 35 77873 00593 1 99407 33 28 44 i6 15 44 21610 35 78390 22205 36 77795 00596 I 99404 32 29 44 8 152 21685 37 78315 22283 38 777I7 00598 I 99402 31 30 io 44 o i6 0 9.2 1761 38 I0.78239 9.22361 39 10.77639 io.oo6oo I 9.994oo 30 31 43 52 16 8 21836 39 78164 22438 4o 77562 00602 I 99398 29 32 43 44 i6 i6 2I912 4o 78088 22516 4i 77484 oo6o4 I 99396 28.33 43 36 i6 24 21987 42 78013 22593 43 77407 oo6o6 I 99394 27 34 43 28 i6 32 22062 43 77938 22670 44 77330 oo6o8 I 99392 26 3510 43 20 i6 40 9.22i37 44 10.77863 9.22747 45 10.77253 io.ob6io I 9.99390 25 36 43 12 i6 48 22211 45 77789 22824 47 77176 00612 I 99388 24 37 43 4 16 56 22286 47 77714 22901 48 77099 oo6i5 I 99385 23 38 42 56 v 4 22361 48 77639 22977 49 77023 00617 I 99383 22 39 42 48 7 12 22435 49 77565 23054 5o 76946 oo6ig I 99381 21 4o10 42 401 17 20 9.22509 5010.7749' 9.23130 52I10.76870 10.00621 I 9.99379 20 41 42 32 17 28 22583 52 77417 23206 53 76794 00623 I 99377 19 42 42 24,5 36 22657 53 77343 23283 54 76717 00625 I 99375 18 43 42 i6 17 44 22731 54 77269 23359 56 7664 00628 2 99372 17 44 42 8 17 52 22805 55 7795 23435 57 76565 oo63o 299370 i6 TO 5 H2 o,68 5 3 7J2 78-J~~to 45/,o 42 0-',,1 i8 0 9.22878 57 10.77122 9.235i0 58 10.76490 1o.oo632 2 9.99368 15 46 41 52 i8 8 22952 58 77048 23586 6o 76414 oo634 2 99366 14 47 4' 44 i8 i6 23025 59 76975 23661 6i 76339 oo636 2 9936413 48 41 36 i8 24 23098 6o 76902o 23737 62 76263 oo638 2 99362 12 49 4i 28 i8 32 23171 62 76829 23812 63 76188 oo64i 2 99359 iI SO Io 041 2 1o i8 40 9.23244 6310 576756 9.23887 65 10.76113 io.oo6431 29.99357 Io Si 41 12 i8 48 23317 64 76683 23962 66 76038 oo645 2 99355 9 52 41 4 i8 56 23390 65 766 24037 67 75963 647 2 99353 8 53 4o 56 19 4 23462 67 76538 24o269 75888 649 9351 7 54 4o 48 19 12 23535 68 76465 24186 70 75814 00652 2 99348 6 55 lo 4o 4oI 19 20 9.23607 69 I0.76393 9.24261 71 10.75739 10.00654 29.99346 5 56 4o 32 19 28 23679 7I 76321 24335 73 75665 oo656 2 99344 4 57 4 24 ig 36 23752 72 76248 244o 74 75590 oo658 2 99342 3 58 4 i6 19 44 23823 73 76177 24484 75 75516 oo66o 2 99340 2 4o 8 19 2 2389 74 76io5 24558 76 75442 oo663 2 99337o 6 40 o 0 l o 23967, 76 76033 246321 oo6765 2 99335 o q-.,v~~~~~~~~~~~~~3 2463 78 7~536 MlHour PSeat.m. Hour AM. CoSinDff. Secant. CotangentlDiff. Tangent. Cosecant.Diff. Sine. 9M A A B B C C wo Seconds of time...... 1' 2' 35 4 5s 6I_ 7 Prop, nr'ts Of colsiiB 919 28 38 47 57 66 B o ig 29 39 49 58 68 C JI II I 6 2 1 2 TABLE XXVII. rPage 195 Log. Sines, Tangents, and Secants. 100 A A B B C C 1690 M Hour A.M. HourP.m. Sine. Diff. Cosecant. Tangent. Dff. Cotangent Secant. Dff. Cosine. [ 0 10 4 2 0 9.23967 0 10.76033 9.24632 o Io.75368 o.-o665 oi9.99335 6o 3 9 52 20 8 24039,1 75961 24706 1 75294 00667 0 99333 59 2 39 44 20 i6 24110 2 75890 24779 2 75221 00669 0 99331 58 39 36 20 24 24181 3 75819 2485,3 4 75147 oo672 0 99328 57 4 39 28 20 32 24253 5 75747 24926 5 75074 0o0674 0. 99326 56 5 io 3920i 20 4o 9.24324 6 10.75676 9.25000ooo 6 10o.75o000 0.00676 0 9.99324 55 6 39 12 20o 48 24395 7 75605 25073 7 4927 00678 0 99322 54 7 39 4J, 20 56 24466 8 75534 25l 46 8 74854 oo68l 0 99319 53 8 38 56 21 4 24536 9 75464 25219 9 74781 oo683 o 99317 52 9 38 48 21 12 24607 10 75393 25292 II 74708 oo685 o 993 i 5i io io 38 40 I 21 209.24677o111075323 9.25365. 1210.74635,0J.00687 0 9.993i3 So I 38 32 21 28 24748 i3 75252 25437 i3 74563 006901 0 99310 49 12 38 24 21 36 24818 i4 75182.1 25510 i4 74490 oo692 0 99308 48 i3 38 i6 21 44 24888 i5 75112 25582 iS 74418 00694 I 99306 47 14 38 8 21 52 24958 i6 75042 25655 16 74345 00696 1 99304 46 iS io 38 0 I 22 0 9.25028 17 10.74972 9.25727 i8 10o74273 1io.0699 i 9. 99301 45 i6 37 52 22 8 25098 i8 74902 257991 9 74201 00701 I 99299 44 17 37 44 22 I6 25168 19 74832 25871 20 74129 00703 1 99297 43 i8 37. 36 22 24 25237 20 74763 25943 21 74057 00706 1 99294 42 19 37 28 22 32 25307 22 74693 26015 22 73985 00708 1 99292 4i 20 io 37 20 I 22 40 9.25376 23 10.74624 9.2608624 10.7391410.00710 I 9.99290 140 21 37 12 22 48 25445 24 74555 26158 25 73842 00712 I 99288 39 22 37 4 22 56 25514 25 74486 26229 26 73771 00715 1 99285 38 23 36' 56 23 4 25583 26 74417 26301 27 73699 00717 1 99283 37 24 36 48 23 12 25652 27 74348 26372 28 73628 007I9 I 99281 36 25 io 36 4o I 23 20 9.25721 28 10.74279 9.26443[2910.73557 10.-00722 I 9.99278 35 26 36 32 23 28 25790 30o 74210 26514 3i 73486 00724 I 99276 34 27 36 24 23 36 25858 31 74142 26585 32 73415 00726 99274 33 27 o6076 5 74 33 97 28 36 i6 23 44 25927 32 74073 26655 33 73345 00729 I 99271 32 29 36 8 23 52 25995 33 74005 26726 34 73274 0073 I 99269 31 3O o 36 0 I 24 0 9.26o606 34' 10.73937 9.26797 35 10.73203 10o.o 00733 I 9.99267 3o 31 35 52 24 8 26131 35 73869 26867 36 73133 00736 1 99264 29 32 35 44 24 i6 26199j 36 738o01 26937 38 73063 00738 I 99262 28 33 35 36 24 24 26267 38 73733 27008 39 72992 00740 I 99260 27 3/ 35 28 24 32 26335 39 73665 27078 4o 72922 00743 I _99257 26 35 Fo 35 20 1 24 4o09.26403 40 10.73597 9.27148 41 10.72852 10.00745 I 9.99255 25 36 35 12 24 48 26470 4' 73530 27218 42 72782 00748 I 99252 24 37 35 4 24 56 26538 42 73462 27288 44 72712 00750 I 99250 23 38 34 56 25 4 26605 43 73395 27357 45 72643 00752 I 99248 22 39 34 48 25 12 26672 44 73328 27427 46 72573 00755 2 99245 2I oio 34 4 1i 25 20 9.26739 45 10.7326 1 9.27496 4-7 1072504 10.00757 2 9.99243 20 41 34 32 25 28 2686 47 73194 27566 48 72434 00759 2 99241 19 42 34 24 25 36 26873 48 73127 27635 49 72365 00762 2 99238 i8 43 34 i6 25 44 26940 49 73060 27704 Si 72296 00764 2 99236 17 44 34 8 25 52 27007 So 72993 27773 52 72227 00767 2 99233 i6 45 o 34 0i I 26 0 9.27073 Si10.72927 9.27842 53 IO.72158 1000oo 769 2 9.9923 1-i 46 33 52 26 8 27140 52 72860 27911 54 72089 00771 2 99229 14 47 33 441 26 i6 27206 53 72794 2.7980 55 72020 00774 2 99226 13 48 33 36 26 24 27273 55 72727 28049 56 71951i 00776 2 99224 12 49 33 28 26 32 27339 56 7266.i 28117 58 71883 00779 2 99221 II So 10 33 20 I 26 40 9.27405 57 10.72595 9.28186 59 10.71814 I0.00781 2 9.99219 10 5,1 33 i2 26 48 27471 58 72529 28254 6o 71746 00783 2 99217 9: 52 33 4 26 56 27537 59 72463 28323 6i 71677 00786 2 99214 8 53 32 56 27 4 27602J 6o 72398 28391 62 71609 00788 2 99212 7 54 32 48 27 12 27668 6i 72332 28459 63 71541. 00791 2 99209 6 55 10 32 40 I 27 20 9.27734 63 10.72266 9.28527 65 [0.71473 10.00793 2 9.99207 5 56 32 32 27 28 2779 64 72201 28595 66 71405 00796 2 99204 4 57 32 24 27 36 27864 65 72136 28662 67 71338j 00798 2 99202 ~ 3 58 32 i6 27 44 27930 66 72070 28730 68 71270 oo8oo 2 99200 2 59 32 8 27 52 27995 67 72005 28798 69 7o1202 oo8o3 2 99197 1 6o 32 0 28. 0 28060 68 71940 28865 71 71135 00805 2 99195 o Al iorP. H.Hour..ourA.. Cosine. Duff. Secant. Cotangent Diff. Tangent. Cosecant. Diff. Sine. M 1.000 A A B B C C 790 Seconds of time.. 2 3 4. 5' 61 7 71 A 2 7 96 34 43 T 6 Prop. parts of cols. B 9 1 26 35I 4 53 60 99 I I I 2"l Page 193] TABLE XXVII. GI..'Log. Sines, Tangents, and Secants. -'~ ~ ~ ~~~~~~0 110 A A B B C 01680 31 IHourA.M.IHOU.P.M. Sine. Diff. lCosecant. Tangent. if. Ctangent Secant. Diff. Cosine. M -Io 32 o I 28 9.28060 o - 0.7- 940 9.28865 0 10.71135 io.oo85 o 9.9995 6lO ~~~~~~~~~~~~~~0 I olo,. 71940 =. 10 1 3i 52 2 8 8 28125 1 7I875 28933 I 71067 oo8o8 o 99192 59 2 3 44 28 I6 2890 2 71810o 29000 2 71000 oo8io 0 99190 58 3 3 36 28 24 28254 3 71746 290673 0933 oo83 0 99187 57'4 328 232 239 714.o7 7 0 56 4 3i 28 28332 283I9 _4 7168i 2934 4 70866 oo85 99185 5 o 31 20o 1 28 4o/ 9.28384 510.766 92920 5Io.799'0.00818 o9.9982 55 6 31 I2. 28 48 28448 6 71552 29268 6 70732 00oo82 0 99801 54 7 3iI4 28 5i6 28512 7 V7488 29335 8 7o665 oo823 o 99177 53 8 30 56 29 4 28577 8 71423 29402 9 70598 oo825 o 99175 52 9 3o 48 29 12 28641 9 71359 29468 1 70532 00828 0 99'72 5i io 10 3o4o 29 20 9.28705 10 10.71295 9.29535 ii 10.7o465 xo.oo83o o9.99170 So zo o 30 40 9 39'. II 30 32 29 28 28769 II 7123 296 2 739, o 99167 49 2 30 241 29 36 28833 12 71 67 9668 3 70332 835 I 996548 7H67~ ~ 3 7033~ 2 OO835/ I'9654 13 30 I61 2944 28896 13 704 29734 14 70266 oo838 I 99162 47 4 30 8 2952 28960 14 71040 2800 15 70200 00o840 o 9960 46 T5~- 3o 091r 3o 9202 6 /5 io 30 0 30 09.29024 I6o10.70976 9.29866 61o. o034 io.oo843 I9.9957 45 i6 29 52 3o0 8 29087 17 7093 29932 17 70068 oo845 I 99155 44 17' 29 44 30 i6:295o i8 70850 29998 i8 70002 oo848 I 99152 43 7. 29 36 30 2. ~924 i! 7~ 7 99'8 2936 3o24 2924 19 70786 300oo64 19 69936 oo85o I 99150 42 19 29 28 30 32 29277 20 70723 3oi3o 20 69870 oo00853 I 99147 4' 20 10 29 20o I 30 40 9.29340 21 10.70660 9.30195 22 10.69805 io.oo8SS I 9.99145 40 21 29 12 30 48 2940 22 70597 30261 23 69739 oo858 I 99142 39 22 29 4 30 56 29466 23 70534 30326 24 69674 oo86o I 99140 38 23 28 56 31 4 29529 24 70471 30391 25 69609 oo863 I 99137 37 24 28 48 31 12 29591 25 70409 30457 26 69543 oo865 I 99135' 36 25 Id 28 4o 31 20 9.29654 26 10-o.70346 9.30522 27 10.69478 io.oo868 1 9.99i32 35 26 28 32 31 28 29716 27 70284 30587 28 69413 00870 I 99130 34 27 28 24 31 36 29779 28 70221 30652 29 69348 008731 I 99127 33 28 28 i6 3i 44 29841 29 70159 30717 30 69283 0876 99,24 32 28 8 31 52 29903 30 70097 30782o 31 69218 00876 8 I 99122 31 30o 10 28 0 32 0 9.29966 3110-.70034 9.80846 32 i0.69i54 io.oo88i I 9.99119 3o 31 27 52 32 8 30028 32 69972 30911 33 69089 oo883 r 99117 29 32 27 44 32 i6 30090 33 699.0 30975 35 69025 oo8861 99314 28'g o'86 z z$ro 32 33 27 36 32 24 30i5i 34 69849 3io4o 36 68960 oo888 I 99112 27 34 27 28 32 32 3023 35 69787 3104 37 68896 00891 99o09 26 35 10o 27 20 -32 4o 9.30275 36 io.697?5 9.31168 38 1~.68832 5iox.894 2 9.99I16 25 36 27 I2 32 48 3o336 37 69664 31233 39 68767 oo896 2 9904 24 37 274 32 56 30398 38 69602 31297 40 68703 p08991 2 99101 23 38 26 56 33 4 30459 39 69541 3i36, 41 68639 00901 2 99099 22 39 2648 33 1 30521 40 69479 30425 42 6875 00904.2 99096 21 4o 10 26 40 I 34 20 9.305821 o0.69418 9.31489 43 I0.685ii IO 0009074 2 99093 20 41 26 32 33 28 30643 42 69357 31552 44 68448 00909 2 99091 19 42 26 24 33 36 30704 43 69296 3i6i6 45 68384 00912 2 99088 i8 43 26 i6 33 44 3o76S 4S 69235 31679 46 68321 00914 2 99086 17 2l3J ~6481 33 52~ 3o82,.! 6. 174'8I.2 44 26 8 33 4 3082 46 69174 31743 41 68257 00917 99083 i6 45 Io 26 o0 34 o 9.30887 47o0.69i3 9.3806 49 1o.68194 o.ooo.00920 2 9.99o80 ri 46 25 S2 34 8 30947 48 69oS3 31870 o 68i3o 00922 2 99078 14 47 2 44 34 i6 3ioo8 49 68992 31933 i 68067 00925 2 99o7 1I3 48 25 36 34 24 3io68 So 68932 31996 52 68004 o0928 2 99072 12 49 25 28 34 32 31129 5i 68871 32059 53 67941 00930 2 99070 II 50 10 25 20 34 4o 9.31189 52 io.688ii 9.32122 54 10.67878 10.00933 2 9.99067 10 5i 25 12 34 48 3125o 53 6875o 32185 55 678iS oo936 2 99064 52 25 4 34 56 31310 54 68690 32248 56 67752 00938 2 99062 53 24 56 3 4 31370 55 6863o 32311157 67689 00941 2 99oS9 7 54 24 48 35 12 3843o. 56 68570 32373 58 67627 oo944 2 99S6 6 55 1o 24 4o 35 20 9.31490 57 io.685io 9.32436 S9 i0.67564 ~0.00946 2 9.99oS4' 56 24 32 35 28 31S49 58 6845i 32498 6o 67So2 00949 2 99o5i 4 24 2) 35/3, Mo 5 63oo,71 8 57 2424 3 o36 360959 68391 326 61 67439 oo952 2 99048 3 58 24 i6 35 44 3I66 6o 6833 32623 63 67377 oo09541 2 99046 2 S9 24 8 35 52 31728 6i 68272 32685 64 673i5 00957' 3 99043' 6o 24 0 36 31788 62 68212 327% 65 67253 006 3 994 0 1-TI our P.M. Honr A.M. Cosine. DiffI Secant. Cotangent.Diff.I Tangent. Cosecant.1 Duff. Sin 1010 A A B B C C 780 Seconds of time. lo 2' 3''4s 55 6' 76 A 8 i6 23 3i3 75 1rop. part Ofco.B 8 i6 24 32 4o 49 57 i ~-';J~~- i A I; I Ia oi 2~2 TABLE XXVII. [Page 197. og. Sines, Tangents, and Secants. G 120~ A A B B C C 1670 M HourA.M.IIHour P.M. Sine. Diff. Cosecant. Tangent. Diff. Cotangent Secant. Diff. Cosine. M o io 24 o: I36 o 9.31788 o.682I2 9.32747 o.67253 Io.oo60 o 9.9904 6o I 23 52 36 8 3I847 I 68i53 328Io I 67190 oo00962 0 99038 59 2 23 44'36 I6 3I907 2 68093 32872 2 67128 00965 o 99035 58 3 23 36 36 24 3I966 3 68034 32933 3 67067 oo968 0 99032 57 4 23 28 36 32 32025 4 67975 32995 4 67005 00970 o 99030 56 5 o23 20 I 36 4o 9.32084 5 Io.679g6 9.33057 5 10.66943 I.oo00973 0 999027 55 6 23 I2 36 48 32I43 6 67857 33I19 6 6688i 00976 o 99e24 54 7 23 4 36 56 32202 7 67798 33r8o 7 66820 00978 o 99022 53 8 22 56 37 4 3226I 8 67739 33242 8 66758 oog8 o 9ggoIg 52 9 22 48 37 I2 32319 9 67681 33303 9 66697 oo00984 o 990I6 5I IO 10 22 40 I 37 20 9.32378 IO 1o.67622 9.33365 Io Io.66635 IO.oOg87 0 9.gg993 50 Ii 22 32 37 28 32437 Io 67563 33426 Ii 66574 0og89 I 99ggII 49 12 22 24 37 36 324951 11 67505 33487 12 6653 oo00992 99008 48 13 22 i6 37 44 32553' I2 67447 33548 13 66452 00995 1 99005 47 I4 22 8! 37 52 326I2 I3 67388 33609 14 6639i 00998 I 99002 46 15 10 22 0 38 09.32670 I4 IO.67330 9.33670 15 io.66330o.ooo I 9.9900ooo0 45 I6 2I 52 38 8 32728 I5 67272 3373I i6 66269 oioo3 1 98997 44 17 21 44 38 i6 32786 i6 67214 33792 17 66208 oioo6 I 98994 43 I8 2I 36 38 24 32844 17 67I56 33853 i8 66147 OIo09 I 9899g 42 19 2I 28 38 32 32902 18 67098 33913 I9 66087 oIo1I I 98989 4I 20 0I 2I 20 I 38 40 9.32960 1i9 I.67040 9.33974 20 IO.66026 IO.OIOI4 I 9.98986 40 21 21 12 38 48 33o08 20 66982 34034 21 65966 01017 I 98983 39 22 21 4 38 56 33075 21 66925 34095 22 65905 o01020 I 98980 38 23 20 56 39 4 33133 22 66867 34 55 23 65845 01o022 98978 37 24 20 48 39 I2 33190 23 668io 34215 24 65785 o0o25 I 98975 36 25 IO 20 40 I 39 20 9.33248 24 I0.66752 9.34276 25 IO.65724 IO.OI 028 I 9.98972 35 26 20o 32 39 28 33305 25 66695 34336 26 65664 oIo3I I 98969 34 27 20 24 39 36 33362 26 66638 34396 27 65604 oio33 I 98967 33 28 20 i6 39 44 33420 27 66580 34456 28 65544 oio36 I 98964 32 29 20 8 39 52 33477 28 66523 34516 29 65484 o0o39 I 9896I 3i 30 IO 20 0 i40o 09.33534 29 io.66466 9.34576 30 o0.65424 10.I0042 I 9.98958 30 3I I9 52 40 8 33591 29 66409 34635 3I 65365 o0o45 I 98955 29 32 19 44 40 I6 33647 30 66353 34695 32 65305 01047 I 98953 28 33 i9 36 40 24 33704 31 66296 34755 33 65245 oio5o 2 98950 27 34 19 28 4o 32 33761 32 66239 34814 34 65I86 OIo53 2 98947 26 35 Io 19 20 I40 40 9.338I8 33 I0.66182 9.34874 351 I.65I26 Io.IoI56 2 9.98944 25 36 19 I2 40 48 33874 34 66I26 34933 36 65067 01059 2 98941 24 37 i 4 40 56 33o03 35 66069 34992 37 65008 oio62 2 98938 23 38 I8 56 4I 4 33987 36 66oi3 350 I 38 64949 oro64 2 98936 22 39 I8 48 4I 12 34043 37 65957 35iiI 39 64889 01067 2 98933 2I 4o Io 18 40 41 20 9.34Ioo 38 10.65900oo 9.35170 40 io.6483o. o Io070 2 9.98930 20 4r 18 32 41 28 34i56 39 65844 35229 4I 64771 01073 2 98927 19 42 I8'a4 4i 36 34212 40 65788 35288 42 64712 01076 2 98924 I8 43 I8 I6 41 44 34268 41 65732 35347 43 64653 OI079 2 9892I 17 44 18 8 4i 52 34324 42 65676 35405 44 64595 oIo8I 2 98gg9 i6 45 r i8 o 42 o 9.34380 43 I0.65620 9.35464 45 Io.64536 io.oio84 2 9.989I6 i5 46 I7 52 42 8 34436 44 65564 35523 46 64477 oIo87 2 989I3 i4 47 I7 44 42 i6 34491 45 65509 3558I 47 644I9 OIogo 2 989Io i3 48 17 36 42 24 34547 46 65453 35640 48 64360 01093 2 98907 I2 49 17 28 42 32 34602 47 65398 35698 49 64302 OIOg6 2 98904 II 50 Io 17 20o I 42 40 9.34658 48 I0.65342 9.357571 o I0.64243 0.099 2 9.98gOI IO 5i 17 I2 42 48 34713 48 65287 35815 51 64I85 oII02 2 98898 9 52 17 4 42 56 34769 49 65231 35873 52 64127 01Io4 2 98896 8 53 56 43 4 34824 50 65176 35931 53 64069 oII07 2 98893 7 54 i6 48 43 12 34879 5I 6512I 35989 54 64oII oII10 3 98890 6 55 io I6 40 I 43 20 9.34934 52 io.65o66 9.36047 55 Io.63953 Io.o.III3 39.98887 5 56 i6 32 43 28 34989 53 65oi 36io5 56 63895 oiii6 3 98884 4 57 I6 24 43 36 35044 54 64956 36i63 57 63837 o1iII9 3 98881 3 58 i6 i6 43 44 35099 55 64901o 3622I 58 63779 oII22 3 98878 2 59 I6 8 43 52 35i54 56 64846 36279 59 63721 o1i25 3 98875 I 6o I6 0 44 0 352o9 57 6470 36336 60 63664 oII28 3 98872 O M Hour P.M. our A.M. Cosine. Duff._ Secat. CotangentDiff. Tangent. Cosecant. Diff. Sine. AI 1020 A A B B C C 77e Seconds of time j...... Is' 2' 3' 4' 5'8 6" 7' A.5 7 14 21 29 36 43 ";- Prop. parts of cols.B 7 i5 22 30 37 45 52 C 1 1 1 2 2 2 Page 1981 I'ABLE XXVII. S1. Log. Sines, Tangents, and Secants. 130 A A B C c1660 M Hour A.M. Hour P.M. Sine. Diff. Cosecant. Tangent. Diff. Cotange;. Secant. Diff. Cosine. M olo 6 0o I 44 ~9.352o9 010.64791 9.36336 -oIo.63614 o.o01128 9.98872 6o I I5 52 44 8 35263I 64737 36394 I 63606 oii3i 6 98869 59 2 I5 44 44 16 353i8 2 64682 36452 2 63548 oii33 o 98867 58 3 i5 36 44 24 35373 3 64627 36509 3 6349I oii361 o 98864 57 4 i5 28 44 32 35427 4 64573 36566 4 63434 oI139 0 98861 56 5 io I5 20 1 44 4 9.3548I 4 O.645I9 9.36624 5 0.63376 Io.oI142 o 9.98858 55 6 I5 12 44 48 35536 5 64464 3668i 6 633T9 oII45 0 98855 54 7 i5 4 44 56 35590 6 644io 36738 6 63262 oII48 0 98852 53 8 I4 56 45 4 35644 7 64356 36795 7 63205 oII5i 0 98849 52 9 I4 48 45 12 35698 8 64302 36852 8 63I48 oii54 o 98846 5i Io lo 14 40 I 45 20 9.35752 90.64248 9.36909 9 io.63ogI IO01157 I 9.98843 50 11 14 32 45 28 358o6 Io 64,94 36966 Io 63o34 o016o I 98840 49 I2 I4 24 45 36 3586o I I 64I4o 37023 Ii 62977 oii63 I 98837 48 I3 I4 i6 45 44 359I4 II 64o86 37080 12 62920 oii66 I 98834 47 I4 I4 8 45 52 35968 12 64032 37x37 I3 62863 oI1 69 I 98831 46 I5 1o I4 0- I46 0 9.36022 I31 I.63978 9.37I93 14 10.62807 IOOII72 I 9.98828 45 i6 I3 52 46 8 36075 I4 63925 3725o 15 62750 01175 I 98825 44 I7 i3 44 46 i6 36I29 i5 63871 373c6 i6 62694 0I 78 I 98822 43 i8 I3 36 46 24 36182 i6 638i8 37363, 17 62637 oII8I I 988I9 42 19 13 28 46 32 36236 I7 63764 37419 i8 6258I oii84 I 988I6 4I 20 Io 13 20 46 40o 9.36289 I8 IO.63711 9.37476 I9 I0.62524 IO.OII87 19.988I3 4o 21 I3 I2 46 48 36342 I8 63658 37532 19 62468 oIo90 I 988IO 39 22 I3 4 46 56 36395 I9 636o5 37588 20 62412 01193 I 98807 38 23 12 56 47 4 36449 20 6355i 37644 21 62356 oII96 I 98804 37 24 12 48 47 12 36502 21I 63498 37700 22 62300 OII99 I 9880I 36 25 IO I2 40 I 47 20 9.36555 22 I0.63445 9.37756 23 IO.62244 IO.01202 I 9.98798 35 26) I2 32 47 28 366o8 23 63392 37812/ 24 62I88 01205 I 98795 34 27 12 24 47 36 36660 24 6334o0 378581 25 62I32 01208 I 98792 33 28 I2 I 47 44 367I3 25 63287 37924 26 62076 0o2II I 98789 32 29 12 8 47 52 36766 25 63234 37980 27 62020 OI214 I 98786 31 30 10 12 0 I48 09.36819 26 io.6318 9.38035 28 0.6965 10.012I7o. 2 9.9878330 31 II 52 48 8 36871 27 63I29 38091 29 6I909 01220 2 98780 29 32 II 44 48 i6 36924 28 63076 38147 30 6853 01223 2a 98777 28 33 II 36 48 24 36976 29 63024 38202 3I 61798 01226 2 98774 27 34 II 28 48 32 37028 30 62972 38257 32 6I743 01229 2 98771 26 35 10 II 2 I 48 40 9.3708I 31 Io.62919 9.38313 32 io.6i687 0o.01232 2 9.98768 25 36 II 1 48 48 37I33 32 62867 38368 33 6i632 01235 2 98765 24 37 II 4 48 56 37I85 32 62815 38423 34 6I577 oI238 2 98762 23 38 1o 56 49 4 37237 33 62763 38479 35 6I52I 0124I 2 98759 22 39 Io 48 49 12 37289 34 62711 38534 36 6I466 o01244 2 98756 2I 410 lO10 40 I 49 20 9.37341 35 10.62659 9.38589 37 I0.6I4II IO.OI247 2 9.98753 20 4I IO,32 49 28 37393 36 62607 38644 38 6i356 0I250 2 98750 I9 42 IO 24 49 36 37445 37 62555 38699 39 6i3o0 OI254 2 98746 I8 43 1o i6 49 44 37497 38 62503 38754 4o 6I246 OI257 2 98743 I7 44 Io 8 49 52 37549 39 6245I 388o8 4 61192. oI260 2 98740 i6 45 13 Io 0 0 9.3760039 0.62400 9.38863410.61137 O.I263 a 9.98737 I5 46 9 52 50 8 37652 4o 62348 389I8 43 61082 01266 2 98734 I4 47 9 44 50 i6 37703 4I 62297 38972 44 61028 oI269 2 98731 13 48 9 36' 50 24 37755 42 62245 39027 45 60973 01272 2 98728 I2 49 9 28 5o 32'37806 43 62194 39082 45 60918 OI275 2 98725 II 50o 10 9 20 I 50 40 9.37858 44 IO.62142 9.39I36 46 io.60864 10.01278 3 9.98722 10 51 9 I2 5o 48 37909 451 6209I 39I90 47 6o8IO 01281 3 9879 9 52 9 4 5o 56 37960 46 62040 39245 48 60755 oI285 3 98715 8 53 8 56 5i 4~ 380II 47 6I989 39299 49 6070I OI288 3 987I2 7 54 8 48 5i I2 38062 47 6I938 39353 5o 60647 OI29I 3 98709 6 55 Io 84 I 5 120 9!.38II3- 48 io.6I88 9.39407 5I!o.60593 IO.OI294 3 9.98706 5 56 8 32 5I 28 38i64 49 6i836 3946I 52 6o539 0I297 3 98703 4 57 8 24 5i 36 38215 50 61785 39515 53 6o485 o30oo 3 98700 3 58 8 i6 5 44 38266 5 I 6I734 39569 54 6043I oi3o3 3 98697 2 59 8 8 5 52 38317 52 6I683 39623 55 60377 OI306 3 98694 60 8 0 52 o 38368 53 6I632 39677 56 60323 o310o 3 98690 o0 Iiour_?.M.IHourA.M. Cosine. Diff. Secant. Cotangentl Diff. Tangent. Cosecant.Diff. Sine. M 1030 o A A B B C C 760 Seconds of time...... 1' 2' 3 | 4' 5' 6' 7' Prop (arts oo A 7 i3 1 20 26 33 39 146 Prop. partsof cols.B 7 14 21 28 35 42 49 C O I | I a 2 3 TABLE XXVII. [Page 199 S'. Log. Sines, Tangents, and Secants. G' 140 A A B B C C 1650 MHour &.M. jHourP.M. Sine. Diff. Cosecant. Tangent. Diff.Cotangent Secant. Diff. Cosine. M oio 8 ojIS2 o 9.38368- o0.61632 9.39677 0 o10.60323 o10.013IO 9.98690o 60 I 752 521 8 38418 i 61582 39731 i 60269 oi313 o 98687 59 2 7 44 52 16 38469 2 61531 39785 2 60215 o0131i6 0 98684 58 3 7 36 52 24 38519 2 6r48i 39838 3 60162 01319 0 98681 57 4 7 28 52 32 3857 3 61430 39892 3 60o08 01322 0 98678 56 5 10 7 20 i 52 40 9.38620 4 io.6i38o 9.39945 4 io.6oo55 Io 01325 0 9.98675 55 6 7 12 52 48 38670 5 61330 39999 5 6o00I 0o329 0 98671 54 7 7 4 52 56 38721 6 61279 40052 6 59948 0132 0 98668 53 8 6 56 53 4 38771 7 61229 40io6 7 59894 o0335 o: 98665 52 9 6 48 53 19 38821 7 61179 40o59 8 59841 oi338 0 98662 51 1io 6 40 153 20 9.38871 8 1o.61z-2 9.40212 9 1i0.59788 io.o134I I 9.98659 50 i 6 32 53 28 38921 9 6o1079 40266 10 59734 oi344 I 98656 49 12 6 24 53 36 38971 10I 61029 40319 Io 59681 oi348 I 98652 48 13 6 i6 53 44 39021 i1 60979 40372 11 59628 oi35i I 98649 4 14 6 8 53 52 39071 iI 60929 40425 12 59575 0oi354 I 98646 46 J5 Io 6 o I 54 0 9.3912a 12 IO.60879 9.40478 1310.59522 io.o1357 I 9.98643 45 x6 5 52 54 8 39170 13 60830 4053I 14 59469 o01360 I 98640 44 17 5 44 64 i6 39220 I4 60780 40584 i5 59416 oi01364 I 98636 43 18 536 54 24 39270 15 60730 40636 16 59364 01367 1 98633 42 19 5 28 54 32 39319 15 60681 40689 I7 593i 0137 I 98630 4i 2o io52-0 - F6 10. ~ ~ 17 931 o37 z9 9862o74 2o io 5 200 i 54 40 9.39369 I6Io.6o63i 9.40742 17 io0.59258 0.01373 I 9.98627 40 21 5 12 54 48 39418 17 60582 40795 i8 59205 01377 I 98623 3 22 54 54 56 39467 18 60533 4o847 19 59153 oi38o i 98620 3 23 456 55 4 39517 g19 60483 40900 20 59100 0oi383 I 98617 37 24 4 48 55 12 39566 20 60434 40952 21 59048 oi386 I 98614 36 25 10 4 40 I 55 20 9.3961562o 0.6o385 9.41005 22 i0.58995 0.030go I19.98610 35 26 4 32 55 28 39664 21 60336 41o57 23 58943 01393 I 98607 34 27 4 24 55 36 39713 22 60287 41109 23 58891 01396 I 98604 33 28 4 i6 55 44 39762 23 60238 41i6I 24 58839 01399 a2 986oi 3.2 29 4 8 55 52 39811 24 6o0189 41214 25 58786 o14o30 2 98597 3i 301o 4 0 i56 o 9.39860 24 io.6o,4O 9.41266 2610.58734 i0.014062'9.98594 30 3i 3 52 56 8 39909 25 6oo0091 413i8 27 58682 01409 2 98591 29'32 3 44 56 16 3995 26 60042 4i370 28 58630 o i412 2 98588 28 33 3 36 56 24 4000oo6 27 59994 41422 29 58578 o01416 2 98584 27 34 3 28 56 32 40055 28 59945 41474 30 58526 o01419 2 9858i 26 35 io 3 20o 7 56 4o 9.40 o3 29 1o.59897 9.4526 30-0o.58474 10.01422 2 9.98578 25 36 3 12 5648 40o52 29 59848 41578 31 58422 01426 2 98574 024 37 3 4 56 56 402oo 30 59800 41629 32 58371 01429 2 98571 [23 38 2 56 57 4 4024 3i 59751 4i681 33 58319 01432 2 98568 022 39 a 4 57 12 40297 32 59703 41733 34 58267 o1435 2 98565 21 410 2 40 I 57 o20 9.403463310.59654 9.41784 35 1o.5826 10.0143- 9 2 9.9856 20 4I 2 32 57 28 40394 33 59606 4i836 36 58i64 01442 2 98558 19 42 2. 24 57 36 40442 34 59558 41887 36 58113 o01445 2 98555 I8 43 2 1 57 44 40490 35 595IO 41939 37 58o61 01449 2 98551 17 44 2 8 57 52 40538 36 59462 4199o 38 58oio 01452 a2 98548 i6 45 102 01 58 0 M9.4O586 37 o.594I4 9.42041i 39 10o.57959 io.oi455 2 9.98545 i5 46 I 52 58 8 4o0634 37 59366 42093 4 57907 o459 3 98541 i4 47 I44 58 i6 40682 38 59318 42I44 4, 57856 o01462 3 98538 i3 48 36 58 24 40730o 39 59270 42195 42 57805 01465 3 98535 I2 49 28 58 32 40778 4o 59222 42246 43 57754 01469 3 98531 Ii 50o I 290 58 4o 9.40825 4 10.o59175 9.42297 43 10.57703 1lO.O 1472 3 9.98528 xo 51 I 12 58 48 40873 42 59127 42348 44 57652 o01475 3 98525 52 1 4 58 56 40921 42 59079 42399 45 57601 01479 3 98521' 53 0 56 59 4 40968 43 59032 4250 46 57550 01482 3 98518 7 54 0 48 59 12 4io06 44 58984 42501oi 47 57499 o01485 3 98515 6 55 Io 0 4o I 59 20 9.41o63 45 1o.58937 9.42552 48 10.57448 Io.o489 3.9851i 56 0 32 59 28 41111 46 58889 42603 49 57397 01492 3 98508 4 57 0 24; 59 36 41158 46 58842 42653 50o 57347 o01495 3 98505 3 58 0 i6 59 44 4120o5 47 58795 42704 50 57296 01499 3 9850o 2 59 08 59 52 41252 48 58748 42755 51 57245 o150 3 98498 6o 0 02 0 0 4i3oo 49 58700 42805 52 57195 0o506 3 98494 M Hour P.M.I1lourA.. Cosine. Diff. Secant. Cotangent Diff, Tangent. Cosecant. Diff. Sine. M 1040 A B B C C 75 Bonds of time...... la 2 35 4 5 6 7 A 6 12 I8 24 3-i 37 [43 Prop. parts of cols. B 7 3 20 26 33 39 46 C 0 I _I _2 2 2 3 Page 200o TABLE XXVII. Si Log. Sines, Tangents, and Secants. G 150 A A B B C C 1640 MiHu: rA.m. Hour P.M Sine. Diff. Cosecant Tangent. Diff. Cotangent Secant. Diff Cosine. M 0o10 0 0 2 0 -0-o 9.413o00 o1o.58700 9.42805 o Iio.57195 o.o15o610.98494 6o 19 59 52 o 8 41347, 58653 42856 i 5744 oI509 o 98491 597 2 59 44 0 oi6 41394 2 586o6 42906 2 57094 0152 98488 58 3 59 36 0 24 4144i 2 58559 42957 2 57043 oi516 o 98484 57 4 59 28, o 32 41488 3 58512 43007 3 56993 o5I19 0 98481 56 5 9 59 2 o2 4O 9.4-1535 41o.58465 9.43057 4io.56o43 10.oi523~09.98477 55 6 59 121 0 48 41582 5 58418 43io8 5 5692 0aI526 0 98474 54 7 59 4 0 56 41628 5 58372 43158 6 56842 01529 0 9847 53 8 58 56: 4 41675 6 58325 43208 7 56792 01533 0 98467 52 9 58 48 I 12 41722 7 58278 43258 7 56742 o0i536J' 98464 5i 9o 95'8 4 2 20 9.41768 8 10.58232 9.43308 8 10.56692 Io.o1540o 9.98460 50 ir 58 32 I 28 418i5 8 58185 43358 9 56642 oi543 i 98457 49 12 58 24 36 41861 9 58139 43408 10 56592 01547 I 98453 48 13 58 16 I 44 4Ai908 o 58092 43458 ii 56542 oI55o I 98450 47'4 58 8 i 52 41954 ii 58046 43508 ii 56492 01553 I 98447 46 iS 958 0 ( 2 2 096.420014 157999 9.435581 I2O.56442 1o.o1557 3 9.98443 45 i6 57 52 2 8 42047 12 57953 43607 13 56393 01oi56o I 98440 44'17 57 44 2 i6 42093 13 57907 43657 14 56343 oi564 I 98436 43 i8 57 36 2 24 42140'4 57860 43707 i5 56293 01567 98433 42'9 57 28 a 32 42186 i4 57814 43756 i6 56244 01571 98429 41 20 957 oS 20 2 4o 9.42232 i5 10o57768 9.43806 i6 lO.56194 io.oi574 9.98426 40 2o: 57 12 2 48 42278 i6 57722 43855 17 56i45 01578 I 98422 39 22 57 4 2 56 42324 I7 57676 43905 i8 56095 oi581 98419 38 23 56 56 3 4 4237o 17 57630 43954 19 56o46 oi585 i 984i5 37 124 56.48 3 12 42416 i8 57584 44004 20 55996 oi588 98412 36 25 9 56 40 2 3 20 9.4246i 19 10.57539 9.44053 2o 1o.55947 0o.o159 i 9.98409 35 26 56 32 3 28 42507 20 57493 44102 21 55898 01595 2 98405 34 27 56 24 3 36 42553 21 57447 4415I 22 55849 oi598 2 98402 33 28 56 i6 3 44 42599 21 57401 44201 23 55799 01602 2 98398 32 29 56 8 3 52 426441 22 57356 44250 24 55750 oi6o5 2 98395 3 3 9 56 0 2 4 0 9.42690 23 Io.573io 944299 25 1iO.55701 io.oi609 2 9.98391 30 3o 95 944269 -44299 25 7o9.57. 3i 55 52 4 8 42735 24 57265 44348 25 55652 01612 2 98388 29 32 55 44 4 6 42781 24 57219 44397 26 556o3 oi6i6 2 98384 28 33 55 36 4 24 42826 25 57174 44446 27 55554 oi619 2 98381 o27 34 55 28 4 32 42872 26 57128 4449528 55505 oi01623 2 98377 26 3'5 9 55 20 2 4 4 9.429172710.57083 9.44544 29 io.55456 i0.01627 2 9.98373 25 36 55 12 448 42962 27 57038 44592 29 554o8 oi63o 2 98370 24 J37 55 4 4 56 43oo8 28 56992 4464i 30 55359 oi634 2 98366 23 38 54 56 5 4 43053 29 56947 44690 31 553xo 01637 2 98363 22 39 54 48 5 I2 43098 30 56902 44738 32 55262 oi641 2 98359 2i 4o 954 4o 2 5 20 9.4343 30 io.56857 9.44787 33 io0.5523 iooi644-2-9.98356 2o 41 54 32 5 28 43188 3i 56812 44836 34 55i64 oi648 2 98352 19 42 54 4 5 36 43233 32 56767 44884 34 551ii6 oi651 2 98349 i8 43 54 i6 5 44 43278 33 56722 44933 35 55067 oi655 3 98345 17 44 54 8 5 52 43323 33 56677 44981 36 55o019 oi658 3 98342 16 45 9 54 o 2 6 0 9.43367 34 o10.56633 9.45029 37 105497 006632.98338i 46 53 52 6 8 43412 35 56588 45078 38 54922 oi666 3 98334 14 47 53 44 6 i6 43457 36 56543 45I26 38 54874 o1669 3 98331 i3 48 53 36 6 24 43502 36 56498 45174 39 54826 o01673 3 98327 12 49 53 28 6 32 43546 37 56454 45222 40 54778 01676 3 98324 II 5o 953 2 6 40 9.4359[18,o,' " —9 9.45271 4i 1o0.5472910.0168 3 9.9832010O Si 53 12 6 48 43635 39 56365 453i9 42 5468i oI683 3 98317 52 53 4 6 56 43660 39 56320 45367 43 54633 0oi687 3 983138 53 52 56 74 43724 40 56276 454i5 43 54585 o01691 3 983og09 7 54 52 48 7 12 43769 4' 56231 45463 44 54537 01694 3 98306 6 55 9 52 4o 2 7 20 9.4383 42 io56187 9.455II 45 io.54489 1o.o0698 3 9.98302 5 56 52 32 7 28 43857 43 56143 45559 46 5444i 01701 3 9829 4 57 52 24 7 36 o4390 4 5699 456o6 47 54394 017o5 3 9829 3 58 52 i6 7 44 43946 44 5654 45654 47 54346 01709 3 98291 2 59 52 8 7 52 43990 45 56010oio 45702 48 54298 o017I2 3 98288 i 6o 52 0 8 0 4403446 55966.45750 49 54250 01716 4 98284 0o M Hour pe.'M.Hour aM. Cosine. Diff. Secant. Cotangent Diff. Tangent. Cosecant. Diff Sine. M,105, A A B B C C 74' Seconds of time...... J 2 3 4 5s 6 7 A 6 11I 17 23 28 34 4o'rop. parts of cls. 6 12 8 25 31 37 43 j ~ ~~~~~C 0, 12 2 3. 3 TABLE XXVII. [Page 201 x" Log. Sines, Tangents, and Secants. G'. 16" A A B B C C 1630 M HourA.M. Hour P.M. Sine. Diff.Cosecant. Tangent. Diff.Cotangent Secant. Diff. Cosine. M 0 9 52 0 2 8 o 9.44034 O Io.55966 9.45750 O 0.54250 IO.I01716 O 9.98284 60 I 5i 52 8 8 44078 I 55922 45797 I 54203 OI719 0 9828I 59 2 5i 44 8 I6 44122 I 55878 45845 2 54i55 01723 0 98277 58'3 5I 36 8 24 44I66 2 55834 45892 2 54io8 01727 0 98273 57 4 5I 28 8 32 442IO 3 55790 45940 3 54060 01730 O 98270 56 5 9 5i 20o2 8 40 9.44253 4 IO.55747 9.45987 4 io.540o3 IO.OI734 0 9.98266 55 6 5I I2 8 48 44297 4 55703 46035 5 53965 01738 0 98262 54 7 5i 4 8 56 4434i 5 55659 46082 5 539I8 OI741 0 98259 53 8 50 56 9 4 44385 6 55615 46i3o 6 53870 01745 0 98255 52 9 50 48 9 I2 44428 6 55572 46I77 7 53823 017491 98251 5I i0 9 50 40 2 9 20 9.44472 7 Io.55528 9.46224 8 Io.5377610.I0752 I 9.98248 50 II 50 32 9 28 44516 8 55484 4627I 9 53729 01756 I 98244 49 I2 50 24 9 36 44559 9 5544r 463I9 9 5368I 01760 1 98240 48 I3 50 i6 9 44 44602 9 55398 46366 Io 53634 OI763 I 98237 47 14 50 8 9 52 44646 Io 55354 464i3 II 53587 OI767 I 98233 46 15 9 50 0 Io O 9.44689 II io.553ii 9.46460 2 o10.5354o Io.OI77I I 9.98229 45 i6 49 52 IO 8 44733 II 55267 46507 J2 53493 OI774 1 98226 44 17 49 44 Io i6 44776 1 2 55224 46554 i3 53446 01778 I 98222 43 I8 49 36 Io 24 448I9 I3 55I8i 466oiI 4 53399 01782 I 98218 42 19 49 28 IO 32 44862 I4 55i38 46648 i5 53352 01785 I 98215 4I 20 9 49 20 2 io 4o 9.44905 I4 Io.55095 9.46694 I5 10.53306 IO.oI789 I 9.98211 40 21 49 12 Io 48 44948 1i5 55052 46741 i6 53259 oI793 I 98207 39 2'2 49 4 IO 56 44992 i6 55008 46788 17 532192 01796 I 98204 38 23 48 56 I 4 45035 i6 54965 46835 i8 53i65 oi8oo I 98200 37 24 48 48 I I I12 45077 17 54923 4688i I9 53'119 oI8o4 I 98196 36 25 9 48 40 2I zI0 9.45o 20 I8 Io.5488o 9.4692819 I10.53072 IO.OI808 2 9.98192 35 26 48 32 II 28 45i63 I8 54837 46975 20 53025 o018i 2 98I89 34 27 48 24 II 36 45206 I9 54794 47021 21 52979 oi8i5 2 98I85 33 28 48 i6 II 44 45249 20 5475I 47068 22 5293; o1819 2 98181 32 29 48 8 II 52 45292 21 54708 47114 22 52886 oI823 2 98177 3I 30 9 48 0 2 I2 9.453341 2 io.54666 9.4716023 10.52840 IO.OI826 2 9.98I74 30 3i 47 52 12 8 45377 22 54623 47207 24 52793 oi830 2 98I70 2 32 47 44 12 i6 454I9 23 5458I 47253 25 52747 oi834 2 98i66 28 33 47 36 I2 24 45462 23 54538 47299 26 52701 oi838 2 98I62 27 34 47 28 12 32 45504 24 54496 47346 26 52654 oi84I 2 98159 26 35 947 20 2 I2 40 9.45547 25 io.54453 9.47392 27 10.52608 IO.oi845 2 9.98i55 25 36 47 12 12 48 45589 26 544ii 47438 28 52562 OI849 2 98I5I 24 37 47 4 12 56 45632 26 54368 47484 29 52516 OI853 2 98147 23 38 46 56 i3 4 45674 27 54326 47530 29 52470 oi856 2 98I44 22 39 46 48 I3 I2 457I6 28 54284 47576 30 52424 oi86o 2 98I40o 2 40o 9 46 4o0 2 3 209.45758 28 IO.54242 9.47622 3 I 10.52378 iO.oi864 2 9.98I36 20 41 46 32 i3 28 458oi 29 54199 47668 32 52332 oi868 3 98I32 I9 42 46 24 13 36 45843 3o 54I 7 477I4 32 52286 O87I 3 98129 18 43 46 I6 i3 44 45885 3I 54ii5 47760 33 52240 o I875 3 98I25 17 44 46 8 I3 52 45927 3i 54073 47806 34 52194 01879 3 98121 I6 45 9 46 0 2 i4 0 9.45969 32 o.54031 9.47852 35 1o.52148 1O.OI883 3 9 98II7 I5 46 45 52 I4 8 46oii 33 53989 47897 36 52103 OI887 3 98113 14 47 45 44 i4 i6 46053 33 53947 47943 36 52057 OI890 3 98110 13 48 45 36 I4 24 46095 34 53905 47989 37 52011 01894 3 98I06 I2 49 45 28 i4 32 46i36' 35 53864 48035 38 5I965 oI898 3 98I02 II 50 9 45 20 2 i4 4o 9.46178 36 1o.53822 9.48080 39 0.5920 10o.oI0902 3 9.98098 Io 5I 45 12 I4 48 46220 36 53780 48126 39 5I874 oi90o6 3 98094 9 52 45 4 4 56 46262 37 53738 4817I 40 5829 01910o 3 98090 8 53 44 56 i5 4 463o3 38 53697 48217 4I 51783 0I913 3 98087 7 54 44 48 I5 I 46345 38 53655 48262 42 51738 OI917 3 98083 6 55 9 44 4o 2 i5 20 9.46386 39 io.53614 9 48307 43 io.5I693 10.0192I 3 9.9807 5 56 44 32 I5 28 46428 4o 53572 48353 43 51647 01925 3 98075 4 57 44 24 i5 36 46469 4i 5353i 48398 44 51602 OI92 4 9807I 3 58 44 16 i5 44 465ii 41I 53489 48443 45 51557 OI93 4 98067 2 59 44 8 i5 52 46552 42 53448 48489 46 5i5II oI937 4 98063 I 60 44 o I6 0 46594 43 53406 48534 46 5i466 oI940 4 98060 O M Hour P.M Ihtour A.M.I Cosin. JDiff. Secant; Cotangent Diff. Tangent. Cosecant. Diff.' Sine. M 1060 A A B B C C 73 Seconds of time..... 1. 1 2 3' 4' 5' 6' 7 A 5 11 I6 21 27 32 37 Prop). parts of cols. B 6 1 1 7 23 29 3| 41 6 O I 2 3 2 3 3 26_ Page M'] ~Page: U TABLE XXVII. t$1~. ~Log. Sines, Tangents, and Secants. G. 170 A - A B B C C1620 M Hour A.M.HourP. Sine. Dff. Cosecant. Tangent. Dff. Cotangent Secant. Diff. Cosine, 9 44 o 2 i6 i0 9.46594 o lo.534o6 9.48534 o io.5i466 Io.o194 o9.98o6o 6o: 43 52 i6 8 46635 I 53365 48579 I 5I421 01944 0 98056 5 2 43 44 i6 56 46676 1 53324 48624 51376 o01948 0 9852 58 3 43 36 ]6 24 46717 2 53283 48669 2 5i33i o952 0 98o 48 157 4 43 28 i6 32 46758 3 53242 48714 3 51286 o1956'o 98044 56 5 9 43 20 2 x6 4o 9.46800 3 io.53200 9.48759 4 io.5i24i 10.01960 09.98040 55 6 43 12 i6 48 4684i 4 53159 488o4 4 51196 o0964 o 98036 54 7 43 4 i6 56 46882 5 53ii8 48849 5 5ii5i o0968 o 98032 53 8 42 56 I7 4 46923 5 53077 48894 6 5iio6 01o97I 1 98029 52 9 _42 48 17 I2 46964 6 53o36 48939 7 5io6i 01975 I 98025 1 IO 9 42 40 2 17 2019.47005 1io.52995 9.48984 7 1lo.51ioi6.01979 i 9.9802I 50 I! 42 32 17 28 47045 7 52955 49029 8 50971 o983 I 980o7 49 I12 42, 24: 17 36 47086 8 52914 49073 9 50927 o01987 1 98o013 48 13 42 i6 17 44 47I27 9 52873 49118 lo 50882 01o991 I 98oo009 47 i4 42 8 17 52 47168 9 52832 49163 io 5o837 01995 I 98005 46 15 9 42 0 2 18 0 9.47209 10 i0.52791 9.49207 ii 0o.50793 0o.o0ggg I9.98001 45 i6 4i 52 i8 8 47249 II 52751 49252 12 50748 02003 I 97997 44 17 4i 44 i8 i6 4729. II 527o10 49296 12 50704 02007 I 97993 43 i8 4i 36 i8 24 47330o 2 52670 49341 i3 50659 o020o I 97989 42 19 41 28 i8 32 4737I I3 52629 49385 1i4 5o6i5 o0o2014 I 97986 4' 20 9 4i 20 2 i8 4o 9.47411 13 10.52589 9.49430 iS 10.50570 10.02018 I 9.97982 4o 979890if4 2i 41 2 i8 48 47452 14 52548 49474 i5 5o0526 02022 i 97978 3 22 4i 4 i8 56 474921 i5 52568 49519 i6 5o48i 02026 I 97974 3 23 4o 56 i9 4 47533 i5 52467 49563 17 50437 02030o 2 97970 37 24 40 48 19 12 47573 i6 52427 49607 i8 50393 o02o34 2 97966 36 25 9 40 40 2 19 20 9.4763 17 I,.52387 9.49652 i8 io.5o348 10.02038 219.97962 35 26 40 32 19 28 47654 17 52346 49696 9ig 5o3o4 02042 2 97958 34 27 4O 24 ig 36 47694 18 52306 49740 20 50260 02046 2 97954 33 28 40 i6 19 44 47734 19 52266 49784 21 5026 02o50o 2 97950 32 29 40 8 19 52 47774 19 52226 49828. 21 50o72 o0o54 97946 3i 30 9 40 0 2 20 0 9.47814 20 10.52i86 9.49872 22 10.50128 I0.02058 2 9.97942 3o 3I 39 52 2o 8 47854 21 52146 49916 23 500oo84 02o62 2 97938 29 32 39 441 20 I6 47894 21 52o06 49960 24 5oo4o 02066 2 97934 28 33 39 36 20 24 47934 22 52066 ooo4 24 49996 o020o70 2 97930 27 34 39 28 2o 32 47974 23 52026 5oo48 25 49952 02074 2 97926 26 35 9 39 20 2 20 4o 9.48014 23 10.59861 9750092 26 10.49908 10.02078 2 9.97922 25 36 39 12 20 48 48o54 24 51946 5oi36 26 49864 02o82 2 97918 24 37 39 4 20 56 48094 25 51906 5oi8o 27 49820 02o86 2 97914 23 38 38 56 21 4 48i33 25 51867 50223 28 49777 02090 3 97910 22 39 38 48 2I 12 48173 26 51827 50267 29 49733 02094 3 97906 21 40 9 38 40 2 21. 20 9.482i3 27 10.51787 9.503oI 29 0.49689 10.02098 3 9.97902 20o 4' 38 32, 2z 28 48252 27 51748 5o3551 3o 49645 02102z 3 97898 i 42 38 24 21 36 48292 28 5I708 50398 3i 49602 02o106 3 97894 i8 43 38 i6 2I 44 48332 29 5i668 50442 32 49558 o2IiO 3 97890 17 44 38 8 21 52 4837I. 29 51629 5o485 32 49515 02114 3 97886 16 45 9 38 0 2 22 0 9.4841 3o 10,o51589 9.5052933/10.49471 I0.02- 8 39.97882 i 46 37 52 22 8 4845o 31 i 555o 505721 34 49428 02I22 3 97878 i4 47 37 44 22;6 48490 3 5i5io 5o6i61 35 49384 o2,26 3 97874 i3 48 37 36 22 24 48529 32 51471 50659 35 49341 o02i30 3 97870 12 49 37 28 22 32 48568 33 51432 50703 36 49297 02134 3 97866 II S o 93720 2-22 40 9.48607 33 o0.5i393 9-50746'3710.o49254 10.02i3o 3 93.97861 so Si 37 12 22 48 48647 34 5i353 50789 37 4921 o02143 3 97857 9 52 37 4 22 56 48686 35 5i3i4 5o833 38 49167 o021z47 3l 97853 8 53 36 56 23 4 48725 35 51275 50876 39 49124 02151 4 97849 7 54 36 48. 23 12 48764 36 51236 50o919 4o 49081 02155 4 97845 6 55 9 36 4 ~ 2 23 20 9.488o3 37 05 97 9.50962 4o 10.49038 I0.02159 4 9.97841 5 56 36 32 23 28 4884.2 37 5ii58 5ioo5i 41 48995 021,3 4 97837 4 57 36 24 23 36 4888i 38 5119J 5,o481 42 48952 02167 4J 97833 3 58 36 i6 23 44 48920 39 5io8o 5io92 43 48908 02171i 4. 97829 2 59 36 8 23 52 48959 39 5io4i 5ii35 43 48865 02175 4 97825 6o 36 o0 24 o0 48998 4 51OO2 5I 78 44 48822 02179 4 97821 0 M IHour P.M. IHour A.. Cosine. Duff.l Secant. cotangentlDif. Tangent. _Cosecant. Diff. Sine. M 1070 A B B C C 7?* Seconds of time...... 1' 2" 3' 4' 5 6' 7'.... A 5'0 I' 20 25 - So 35 Prop. prts ofcols.z 6 u 17 22 28 33 39 C O I I 2 2 3 3 TABLE XXVI1, [rage 203 ~S'. ~ ~Log. Sines, Tangents, and Secants. G. 180 A A B B C C 1610 M HourA.M.fHourp.M.. Sine. Diff. Cosecant.' Tangent. Diff. Cotangent Secant. Diff.. Cosine. M 9 36 022 240 9,48998. olIo.51002 9.51-178 o10.48822 1-o:.0279 0 9.97821 6o 1 35 52 24 8 49o37 I 50963 5.221 48779 02183 o 978I7 5. 2 35 44 24 i6 49076 I 50924 51264 48736 o02881o 0 97812 58 3 35 36 24 24 49II5 2 50885 5i3o61 2' 48694 02192 0 97808 57 4 35 28 24 32 49153 3 50847 51349 3 4865i 02196 o0 97804 56 5 9. 35 20 ol2 24 4' 9.49192 3 io.5o8o8 9.51392 3 1io.486o8: 1.o'02200 0 9..978-00 55 6 35 12 24 48 49Q23l 4 50769 5i435 4 48565 02204 0: 1 97796154 7 35 4 24 56 49269 4 50731 51478 5 48522 02208 0 97792 531 8 34 56 25 4 49308 5 5692 51520 6 4848o 022o 2 I 97788 152 9 34 48 25 12 49347 6 563 5,i563 6 48437 02216 1 97784 15i io 9 34 4o 2 25 20 9.49385 6 io.5o65 9.566 7 io.48394 10.02221 I.. 9777 ii 34 32 2:5 28 49424 7 50576 5i648 8 48352. 02225 I 9777? 45.12 34 24 2S 36 49462 8 5o538 51691 8 483o9 02229 zI 9777I1 48 13 34 i6 25 44 495oo00 8 5o5oo 51734 9 48266 02233 I 97767 47 i4 34 8 25 52 49539 9 5o46i1 51776 io 48224 02237 I1 977631'46 iS 9 34 0 2 26 0.9.49577 91i0.50423 9.51819i io io.48i8i1 io.0224,I I 9.97759 45 i6l 33 52 26 8 49615 io 5o385 5i86i1 II 48139 02246 I 97754.44 17 33 44 26 i6 496541 1I 5o346 51903 12 48097 02250 I 97750 43 i8 33 36 26 24 49692 iI 5o3o8 519461 13 48o54. 02254 I 97746 42 19. 33 28 26 32 49730 12 50270 51988 i3 48012 02258 I 97742 1:4I 20 9 33 20 2 26 40 9.49768 i3 10.50232 9.52031 14 1047969 I..02262. 19.97738 40 21 33 12 26 48 49806 13 5o0194 52073 1S 47927 02266 I 97734. 39 22 33 4 26 56 49844 i4 56 52115 5 47885 o 0227I 2 97729. 38 23.. 32 56 27 4 49882 I4 5oii8 521571 i6 47843 02275 2. 97725 37 24 32 48 27 12 49920 15 Soo8o 52200 17 47800 02279 2. 97721 36 25 9 32 41 2 27 o20 9.499581 i61-0o.50042 9.52242 17 1-0.47758 1o.o2283 2 9-977I7. 35 26 32 32 27 28 49996 i6 5ooo04 52284 i8 47716 02287 2 97731 34 27 32 24 27 36 5oo34 17 49966 52326 I9 47674 02292 2 97708 33 28 32 i6:27 44 50072a i8 49928 52368 20o 47632 02296 2. 97704932 29 32 8 27 52 5oiio i8 49890 5241o 20 47590 02300 2a 9277003i 3o 9 32 0 2 28 0 9.50148 19 10.49852 9.52452 21 210.47548 0.02304 2 997696 30 31 31 52. 28 8 5oi85 20 49815 52494 22 47506 02309 2: 97691 29 32 31 44 28 i6 50223 20 49777 52536 22 47464 o0233 2. 97687 28 33 3i 36 28 24 50261 21 49739 52578 23 47422 02317 2 97683 27 34 3i 28 28 32 50298 21 49702 52620 24 47380o 0232I 2 97679 26 35 9- 31 20 2 28 4o 9.0336 22 rIo.49664 9.52661 24 20.47339 1o.23261 2 9.9-767425 361. 31 2 28 48 503741 23 49626 52703 25 47297 02330 3: 97670 24 37 31 4 28 56 5o4,ii 23 49589 52745 26 47255 02334 3 97666 23 38 30 56 29 4 50449 24 4955i 52787 27 47213 02338 3 976621 22 39 30 48 29 12 5o486 25 49514 52829 27 47171 02343 3 97657 21 40 9 3o -4o 2 29 20 9.50523 25 IO.49477 9.52870o 28 10,.4730 10.02347 3 9.97653 21 ~4 3o 32 29 28 5o56i 26 49439 52912 29 47088 02351 3 97649i 9 42 30 24 29 36 50o598 26 49402 52953 29 47047 02355 3 97645 18 43 30 i6 29 44 5o635 27 49365 52995 30 47005 02360 3: 97640117 44 36 8 29 52 50673 28 49327 53037 3i 46963 02364 3 97636 i6 45 9 3o 0 2 30 0 9.50710 28 o10.492go 9.53078 3i 10.46922 10.02368 3 9.97632 IS 46 29 52 30 8 50747 29 49253 5312o 32 4688o 02372 3 97628 14 47 29 44 30,6 50784 30 492i6 53i6i 33 46839 02377 3 97623 13 48 29 36 30 24 50821 30 49179 53202 34 46798 02381 3 9761,9 121 49 29 28 30 32 5o858 31 49142 53244 34 46756 02385 3 97651 II So 9 29 20 2 3o: 4 9.50896 31 10o49104 9.53285 5 Io.467I 5 1i0.02390 4 9.976ioIo 5I 29 12 3o 48 50933 32I 49067 533a7 36 46673 02394 4 976061 9 52 29 4 30 56 5097 33 49030 53368 36 46632 02398 4 97602 8 53 28 56 31 4 51007 33 48993 53409 37 46591 02403 4 97597 7 541 28 48 31 12 5io43 34 48957 5345o 38 4655o 02407 4 97593 6 551 9 28 40 2 31 20 9.5180 35 10.48920 9.53492 38Io.465o8 1 o0.0241 4 9J97589 5 56 28 32 31 28 5,11171 35 48883 53533 39 46467 o02416 4 97584 4 57 28 24 31 36 Si54 36 48846 S3574 40 46426 02420 4 97580 3 58 28 i6 31 44 5ii9i 37 48809 536M 5 4I 46385 02424 4 97576 2 59 28 8 31 52 51227 37 48773 53656 4,i 46344 0242,9 4 97571 1 60 28 0 32 0 Si264 38 48736 53697 42 463o3 02433, 4 97S67 0 M Hour P.M. HouraM. Cosine._Diff. Secant. Cotangent lDiff. Tangent. Cosecant.lDiff.t Sine. M 1080 A A B B C C 711.Seconds of time...... 48 58 68 7i A' {t 1 - 14. I 9 ~1 I9 24 28 33 Prop. parts of cols / 5 I o i6 21 26 31 37.I 1 2 2 3 3 4 Page,24] TABLE XXVII. ~SI~. ~Log. Sines, Tangents, and Secants. 190 A A B B C 1600 M (Hour A.M. Hour P nm. Sine.'Diff. Cosecant. Tangent. Diff. Cotangent Secant. Diff. Cosine. M 0o 928 0- 2- 32 o19.512641 Oo. 48736. 9.53697 o1o0.46303 oo2433 0 9.97567 6o I 27 52 32 8 5i3oi I 48699 53738 I 46262 02437 o0 97563 59 2 27 44 32 6i 5i338 I 48662 53779 i 46221 02442 0 97558 58 i3 27 36 32 24 51374 2 48626 53820 2 46i8o. 02446 0 97554j 57 4 27 28 32 32 5i4,, 2 48589 5386I 3 46139 o02450o 0 97550o 56 5 9 27 20 2 32 419.51447310,o.48553 9.5392 3 1o.46098 o10.024551"09.97545 55 6 27 I2 32 48 5i484 4 485i6 53943 4 46057 02459 0: 97541 54 7 27 4 32 56 5152o 4 4848o 53984 5 46o,6 02464 I 97536 53 8 26 56 33 4 51557 5 48443 54025 5 45975 02468 I 97532- 52 91 26 48 33 I2 51593 5 4840o7 54o65 6 45935 02472 I. 975281 5 Io 9 26 4 2 33 20 9.5-62o 610.48371 9.5410 6 7 Jo.458/4 10.0247719' 97523 So /i 26 32 33 28 5i666 7 48334 54147 7 45853 02481 I 97519 49 I2 26 24 33 36 51702 7 48298 54187 8 458i3 02485 I' 97515 48 *13 26 I6 33 44 51738 8 48262 54228 9 45772 02490 1 97510 47 14 26 8 33 52 51-774 8 48226 54269 9 45731 02494 I 97506 46'iS1. 9 26 01 2 34 0 9.51811 g ao.48i89) 9.54309 10 io.45691 10.02499 750145 i6 25 52 34 8 5847 o10 48i53 5435o IH 4565o 025031 I 97497 44 17 25 44 34 i6 5i883 Io 481'7 54390o II 456io 025081 I 97492 43 Ji8 25 36 34 24 5ig91 I 48o8i 5443i1 12 45569 02512 I 97488 42 ig9 25 28 34 32 51955 II 48o45 5447I 13 45529 02516 I 97484 41 0 9 25 20 2 34 4o 9.599,1 12 10o48009 9.54512 13 io.45488 1o.2521 I 9-97479 40 21 25 12 34 48 52027 12 47973 54552 14 45448 02525 2 97475 39 22 25 4 34 56 52063 13 47937 54593 5 45407 025301 2 97470 38 23 24 56 35 4 520o99 14 47901 54633 S 45367 02534 2 97466 37 24 24 48 35 12 52135 14 47865 54673,6 45327 02539 2 97461 36;25 9 24 4o2 35 20 9.52171 iS 10.47829 9.54714 I7 10.45286 o0.02543 29.97457 35.26 24 32 35 28 522ao07 is 47793 54754 17 45246 02547 2 97453 34 27 24 24 35.36 52242 i6 47758 54794 i8 45206 02552 23 9744833!z28 24 i6 35 44 522781 17 47722 54835 19 45i65 02556 2 97444 32 29 24 8 35 52 52314 17 47686 54875 ig 45I25 0256I 2 97439 31 /3o 9 24 a 236 0 9.5235 01810.47650 9.549i5 20 io.45o85 o0.2-565 29.97435 30 3xj 23 52, 36 8 52385 i8 47615 54955 2i 45o45 02570 974309 32 23 44 36 i6 52421 19 47579 54995 21 45oo5 o2574 2 97426 28 33 23 36 36 24 52456 20 47544 55o35 22 44965 02579 2 97421 27 34 23 28 36 32 52492 ao20 47508 55075 23 44925 02583 3 97417 26 35 9 23 20 2 36 40 9.5252721I 10.47473'9.55115 23 io.44885 10.02588 3 9.97412' 25 36 23 12 36 48 52563 21 47437 55i55 24 44845 02592 3 97408 24 37 23 4 36 56 52598 22 47402 55195 25 448o5 02597 3 97403 23 38 22 56 37 4 52634 23 47366 55235 25 44765 0260o 3' 97399a 22 39 22 48 37-i12 52669 2a3 47331 55275 26 44725 o02606 3 97394 21 40 9 22 4o 2 37 20 9.52705 24 10.47295 9.55315 27 Io.44685 1o.026 3 9.97390 20 4I 22 32, 37 28 52740 24 47260 55355 27 44645 02615 3 97385 19 42 22 24 37 36 52775 25 47225 55395 28 446o5 02619 3 97381 i8 43 22 i6 37 44 52811 26 47189 55434 29 44566 02624 3/ 97376 17 44 22 8 37 52 52846 26 47154 55474 29 44526 02628 3 97372 i6 45 922 0 2 38 9.52881 27 10-l.47119 9.5554 30 -o.44486 10.02633 3 9.97367 15 461 21 52 38 8 52916 27 47084 55554 3i 44446 02637 3 97363'4 47 2i 44 38 i6 52951 28 47049 55593 31 44407 02642 3 97358 13 48 21 36 38 24 5298 29 47014 55633 32 44367 02647 4 97353 12 49 21 28 38 32 53021 29 46979 55673 33 44327 02651 4 97349 II o 1- 20 2 38 4o 9.53o56 3o i10.46944 9.55712 33 10.-44288 o0.02656 4 997344 10I Si 21 12 38 48 53092 3o 46908 5575a2 34 44248 02660o 4 97340 9 52 21 4 38 56 53126 3i 46874 55791 35 44209 o2665 4 97335 8 53 2o 56 39 4 53i6i 32 46839 5583i 35 44169 o2669 4 97331 7 54 20 48 39 12 53196 32 46804 55870 36 44i3 o02674 4 97326 6 55 9 o20 4o 2 39 o20 9.5323! /33,o0.4676 l 9.559o10 37 10.449 10.02678 49.97322' 5 56 20 32 39 28 53266 33 46734 55949 37 440o5 1 02683 4 97317 4 57 20 24 39 36 5330o 34 46699 55989 38 440I:I 02688 4 97312 3 58 2o i6 39 44 53336 34 46664 56o281 39 43972 02692 4 97308 2 59 2o 8 39 52 5337o 35 4663o 56o67 39 43933 02697 4 973'03 I,6o 20 0 40 0 534o5 36 46595 56to71 4o 43893 02701 4 97299 0 0~~~~~~~"1 cat! oag ~iff agS /MlHo-tr-P.Mjou-r-.M. Cosine. Diff. Secant.__CotangentlDiff. Tangent. i Cosecant. Df. Sine. / M;S109~O- -A A B B C C 70 Seconds of time...... 1 2' 3 43 5' 6 7' A 4 9 13 8 22 27 31 Prop. parts of cols. 0B 5 io 20 25 3o 35 _C 2__ ___ 11 3 3 4 TABLE XXVII. [Page 205 S'. Log. Sines, Tangents, and Secants. G. 200 A A B B C C 1590 M HourA.M. Hour P.m. Sine. Diff. Cosecant. Tangent. Diff. Cotangent Secant. IDiff. Cosine. M o1 9 20 0 i ~.5Lo lz...5 I —-- 0 9 20 02 4o0 o9.534o5'0 0.46595 9.56107 0oo.43893 10.02701 0 9.97299 6o I i9 52 40 8 53440 I 4656o 56i46 43854 02706 o 97294 59 2 19 44 40 i6 53475 1 46525 56185 43815 o02711 0 97289 58 3 19 36 4o 24 53509 2 46491 56224 2 43776 02715 0 97285 57 4 1928 4o 32 53544 2 46456 56264 3 43736 02720 0 9728056 5 9 19 20 2 4o 40o 9.53578 3 1o.46422 9.56303 3 Io.43697 10.02724 0 9.97276 55 6 19 12 4o 48 53613 3 46387 56342 4 43658 02729 0 97271 54 7 19 4 4o 56 53647 4 46353 5638I 4 436i9 02734 I 97266 53 8 I8 56 4' 4 53682 5 463s8 56420 5 4358o 02738 I 97262 52 9 i8 48 41 12 53716 5 46284 56459 6 4354, 02743 I 97257 51 o 9 x8 40 4 24~ o9.53751. x 10 9 i8 40 241 20 9.5375i 6 Io.4624Q 9.56498 6IO.43502 10.02748 I 9.97252 50 II i8 32 41 28 53785 6 462I 56537 7 43463 02752 I 97241 49 12 18 24 4' 36 53819 7 46i8i 56576 8 43424 02757 I 97243 48 13 i8 i6 4' 44 53854 7 46i46 566i5 8 43385 02762 I 97238 47 14 i8 8 4' 52 53888 8 46 12 56654 9 43346 02766 I 97234 46 i5 9 i8 o a 42 0o 9.53922 8 1io.46078 9.56693 o 10o.43307 10.02771 I 9.97229 45 i6 17 52 42 8 53957 9 46043 56732 10 43268 02776 1 97224 44 17 17 44 42 i6 53991 Io 46009oo 56771 II 43229 02780o I 97220 43 i8 I7 36 42 24 54025 Io 45975 568io 12 43i 9o 02785 I 9725 42 19 17 28 42 32 54059 II 45941 56849 12 435i 02790 I 97210 41 2o 9 17 2o 2 42 4o 9.54093 II 10.45907 9.56887 13 io.43ii3 10io.o 2794 2 9.972064 21 17 2 42,48 54127 12 45873 56926 13 43074 02799 2 97201 39 22 17 4 42 56 5416i I2 45839 56965 I4 43035 02804 2 9719638 23 i6 56 43 4 54195 13 45805 57004 i5 42996 02808 a 97192 37 24 i6 48 43 12 54229 14 45771 57042 i5 42958 02813 2 97187 36 25 9 i6 40 a 43 20 9.54263 i4 10.45737 9.57081 i6 0.42919 1o0.028S8 2 9.97i82 35 26 i6 32 43 28 54297 i5 45703 57120 17 42880 02822 2 97I78 34 a7 x6 24 43 36 5433i i5 45669 57158 17 42842 02827 2 97173 33 28 i6 i6 43 44 54365 i6 45635 57I97 i8 42803 02832 2 97168 32 29 i6 8 43 52 54399 i6 456oi 57235 19 42765 02837 a 97163 31 30 9 i6 0 2 44 o 9.54433 17 1o0.45567 9.57274 19 10.42726 1io.o0284I a 9.9759 30 31 15 52 44 8 54466 17 45534 57312 20o 42688 02846 a 97154 29 32 15 44 44 i6 54500oo i8 455o00 57351 21 42649 02851 3 97149 28 33 i15 36 44 24 54534 i9 45466 57389 21 426II 02855 3 97145 27 34 x5 28 44 32 54567 19 45433 57428 22 42572 0286o 3 9714o 26 359 i5 20 a 44 4o 9.546of 20 0o.4539 9.57466 22 -0o.42534 I0.02865 3 997135 25 36 i5 12 44 48 54635 20 4536 57504 23 42496 02870 3 97130 24 37 i5 4 44 56 54668 21 45332 57543 24 42457 02874 3 97I26 23 38 i4 56 45 4 54702o 21 45298 57581 24 42419 02879 3 97121 22 39 14 48 45 12 54735 22 45265 576I9 25 42381 02884 3 97116 21 40 9 i4 42 45 20 9.54769 23 10o45231 9.57658 26 10.4234210o.o2889 3 9.97111 20 41.14 32 45 28 54802 23 45198 57696 26 42304 02893 3 97107 19 42 i4 24 45 36 54836 24 45i64 57734 27 42266 02898 3 97102 I8 43 i4 i6 45 44 54869 24 45131 57772 28 42228 02903 3 97097 17 44 14 8 45 52 54903 25 45097 5781o 28 42190 02908 3 97092 i6 45 9 I4 0 2 46 0 9.54936 25o.45o64 9.57849a9 Io0.42i5i 10.029i3 4 9.97087 iS 46 13 52 46 8 54969 26 45o3i 57887 30 42113 029I7 4 97083 14 47 13 44 46 i6 5500oo3 26 44997 57925 30 42075 o02922 4 97078 13 48 i3 36 46 24 55036 27 44964 57963 31 42037 02927 4 97073 12 49 13 28 46 32 55069 28 44931 58ooi 3i 41999 02932 4 97068 II 50 9 i3 20 2 46 4o9.5502 28 -0o.44898 9.58039 32 io.4196i I0.02937 4 9.97063 10 Si 13 12 46 48 55i36 29 44864 58077 33 41923 02941 4 97059 9 52 13 4 46 56 55169 29 4483i 58ii5 33 4i885 02946 4 97054 8 53 12 56 47 4 55202o 30 44798 58i53 34 41847 02951 4 97049 7 54 12 48 47 12 55235 30 44765 58191 35 41809 02956 4 97044 5 55 9 12 40 247 0 9.5526831 10o.44732 9.582293510'41771 I0.02961 4 9.9703 5 56 12 32 47 28 553oi 32 44699 58267 36 41733 02965 4 97035 4 57 12 24 47 36 55334 32 44666 58304 37 41696 02970 4 97030 3 58 12 i6 47 44 55367 33 44633 58342 37 4i658 02975 5 97025 a 59 12 8 47 52 55400 33 44600 5838o 38 41620 02980 5 97020 I 60 12a 0 48 O 55433 34 44567 584i8 39 41582 02985 5 97015 M o Hour P.i.jHour A.M. Cosine. Diff. Secant. CotangentlDiff. Tangent. Cosecant. jDff. Sine. M 1100 A A B B C C Seconds of time 1' 2' 3 4' 5' 6s 75 Po pt Fr (iA 4 8 i3 17 21 25 30 Prop. parts of cols1 B, 10 14 1 2 2 344 C 5 io 1 4'2 24129 34 Page 206] TABLE XXVII. st.'Log. Sines, Tangents, and Secants. Gr. 210 A A B B C C 1580 M I lour A.M. Hour p.M. Sine. Diff.iCosecant. Tangent. Diff. Cotangent Secant. Diff. Cosine. M 0o 9 2 0 a2 48 o 9.55433 o I0.44567 9.58418 o I0.4I582 10.02985 o 9.970I5 60 I I 52 48 8 55466 I 44534 58455 I 4I545 02990 O 970I0 59 2 II 44 48 I6 55499 I 445oi 58493 I 41507 o2gg5 o 97005 58 3 Ii 36 48 24 55532 2 44468 5853I 2 41469 o2999 0 97001 57 4 Ii 28 48 32 55564 2 44436 58569 2 4 43i o3004 o 96996 56 5 9 11 20 2 48 40 9.55597 3 10.44403 9.58606 3 I0.4I394 o1.o3oo9 o 9.96991 55 6 I I12 48 48 55630 3 44370 58644 4 41356 o3oi4 o 96986 54 7 II 4 48 56 55663 4 44337 5868I 4 41319 o30I9 I 9698 53 8 io 56 49 4 55695 4 44305 58719 5 41281 03024 I 96976 52 9 Io 48 49 I2 55728 5 44272 58757 6 41243 03029 I 9697I 5I Io 9 I0 40 2 49 20 9.5576I 5 I0.44239 9.58794 6 10.420o6 Io.o3o34 I 9.96966 So II Io 32 49 28 55793 6 44207 58832 7 4ii68 o3038 I 96962 49 12 10o 24 49 36 55826 6 44174 58869 7 4ii3i o3o43 I 96957 48 i3 I0 i6 49 44 55858 7 44I42 58907 8 4Io93 o3048 I 96952 47 I4 Io 8 49 52: 55891 7 44109 58944 9 4o1056 o3053 I 96947 46 I5 9 I1 0 2 50 o 9.55923 8 1o.44077 9.58981 9 Io.40oI9 io.o3o58 I 9.96942 45 I6 9 52 50 8 55956 9 44044 59o10 Io 40981 o3o63 I 96937 44 17 9 44 5o i6 55988 9 440 o 2 59056'10 40944 o3068 I 96932 43 i8 9 36 50 24 56021 I0 43979 59094 II 40906 o3073 I 96927 42 19 9 28 50 32 56o53 o1 43947 59131 12 40869 03078 2 96922 4I 20 9 9 20 2 5o 4o 9.56085 I Iio.439g5 9.59I68 12 o.40832 Io.o3o83 2'9.96917 40 21 9 I2 5o 48 56iI8 II 43882 59205 I3 4o795 o3088 2 96912 39 22 9 4 50 56 56I50o 12 43850o 59243 I4 40757 03093 2 96907 38 23 8 56 5I 4 56182 12 438i8 59280 I4 40720 03097 2 96903 37 24 8 48 5i 12 562I5 I3 43785 59317 I5 40683 o3102 2 96898 36 25 9 8 40 2 5I 20 9.56247 I3 I0.43753 9.59354 i5 io.4o646 0.03I07 a2 9.96893 35 26 8 32 5I 28 56279 I4 43721 59391 i6 40609 o3Ia2 2 96888 34 27 8 24 5i 36 563II I4 43689 59429 17 40571 03117 2 96883 33 28 8 i6, 5I 44 56343 I5 43657 59466 17 40534 o3r22 2 96878 32 29 8 8 5i 52 56375 i6 43625 595o3 I8 40497 03127 2 96873 3i 3o 9 8 0 2 52 o 9.564o8 I6 10.435Q2 o.59540o I Io.40460 Io.03I32 2 9.96868 3o 3i 7 52 52 8 564401 I7 4356o 59577 19 40423 03137 3 96863 29 32 7 44 52 T6 56472 17 43528 596I4 20 40386 o3142 3 96858 28 33 7 36 52 24 56504 I8 43496 5965I 20 40349 03I47 3 96853 27 34 7 28 52 32 56536 i8 43464 59688 21 40312 03I52 3 96848 26 35 9 7 20 2 52 40 9.56568 I9 Io.43432 9.59725 22 10.40275 i0.03I57 3 9.96843 25 36 7 I2 52 48 56599 I9 4340o 59762 22 40238 03I62 3 96838 24 37 7 4 52 56 5663i 20 43369 59799 23 40201 03I67 3 96833 23 38 6 56 53 4 56663 2o 43337 59835 23 4oi65 o3172 3 96828 22 39 6 48 53 I2 56695 21 43305 59872 24 40I28 o3177 3 96823 21 4o 9 6 40 2 53 20 9.56727 21 10.43273 9.599 25 I400oo91 I0.03182 3 9.968I8 20 4i 6 32 53 28 56759 22 43241 59946 25 4oo0054 03187 3 96813 19 42 6 24 53 36 56790 22 432Io 59983 26 400oo7 o3I92 3 96808 i8 43 6 i6 53 44 56822 23 43178 60019 27 39981 o3197 4 96803 17 44 6 8 53 52 56854 24 43146 60056 27 39944 o3202 4 96798 I6 45 9 6 0 2 54 o 9.56886 2410.43i4 9.60093 28 10.39907 I0.03207 4 9.96793 I5 46 5 52 54 8 569I7 25 43083 6oi3o 28 39870 032I2 4 96788 14 47 5 44 54 i6 56949 25 43o5 6oi66 29 39834 o3217 4 96783 i3 48 5 36 54 24 56980 26 43020 60203 30 39797 03222 4 96778 12 49 5 28 54 32 57012 26 42988 60240 30 39760 o3228 4 96772 II 50 9 5 2a 2 54 40o 9.57044 27 o10.42956 9.60276 3 10o.39724 I0.03233 4 9.96767 10 5i 5 I2 54 48 57075 27 42925 6o3i3 3i 39687 o3238 4 96762 9 52 5 4 54 56 57107 28 42893 6-o349 32 39651 03243 4 96757 8 53 4 56 55 4 57038 28 42862 6o386 33 39614 o3248 4 96752 7 54 4 48 55 12 57I69 29 4283I 6,422 33 39578 o3253 4 96747 6 5 9 4 4 2 55 20 9.57201 29 10.42799 9.60459 34 o.39541 I.o3258 5 9.96742 -5 56 4 32 55 28 57232 3o 42768 60495 35 39505 03263 5 96737 4 57 4 24 55 36 57264 30 42736 60532 35 39468 o3268 5 96732 3 58 4 i6 55 44 57295 31 42705 60568 36 39432 03273 5 96727 2 59 4 8 55 5a 57326 32 42674 60605 36 39395 o3278 5 96722 I Go 4 o 56 o 57358 32 42642 60641 37 39359 o3283 5 96717 o M IIourP.M. Hourr.M. Cosine. (Diff. Secant. Cotangent Diff. Tangent. Cosecant. Diff. Sine. M 11]: A A B B C C 68' Seconds of time...... l1 2' 38 4- 5' 6' 73 4A 4 8 I2 I6 20 24 28 Prop. parts of cols. B 5 9 4 I19 23 28 32 _ C I a 2 l3 4 4 TAB]flI XXVII. [Page 207'$". ~ ~ Log. Sines, Tangents, and Secants. G. 220 A A B B C C 1570 MHour A.M. HourP.M. Sine. Diff. Cosecant. Tangent. Diff. Cotangent Secant. Diff. Cosine. M1 o 9'4 o- 2 56 0 9.5735-8 oo.-42642 9.6064i o0o.39359 Io.o3283 o 9.96717V60 I 3 52 56 8 57389 I 42611I 60677 i 39323 03289 0 967I 59 2 3 44 56 i6 57420 1 42580 60714 1 39286 03294 0 96706 58 3 3 36 56 24 57451 2 42549 60750 2 39250 03299 0 96701 57 4 3 28 56 32 57482 2 425i8 60786 2 392i4 03304 o 9696 56 5 9 3 20 2 56 4o 9.57514 310.42486 9.60823 3 io.39I77 0o.o3309 0 9.96691 55 6 3 12 56 48 57545 3 42455 6085 4 39141 o33i4 z 96686 54 7 3 4 56 56 57576 4 42424 608954 390io5 o339 I 9668i 53 8 2 56 57 4 57607 4 42393 6o931 5 39069 03324 x 96676 52 9 2 48 57 12 57638 5 42362 60967 5 39033 03330 96670 51 o10 9 2 4o 2 57 20 9.57669 5 10o.42331 9.6ioo 4 6 10.38996 io.o3335 I 9.96665 50 11 i2 32 57 28 57700 6 42300 6Io4o 7 38960 0334o I 96660 49 12 2 24 57 36 5773i 6 42269 61076 7 38924 03345 I 96655 48 13 2.6 57 44 57762 7 42238 6II2 8' 38888 0335o 96650 47 14 2 8 57 52 57793 7 42207 6i48 8 38852 03355 96645 46 i, 9 2 0 2 958 o 9.57824 8~10.42176 9.611849 ~o.38816 io.o336o I 9.96640 45 i6 I 52 58 8 57855 8 42145 61220 io 38780 03366 I 96634 44 17 1 44 58 i6 57885 9 42115 61256 Io 38744 o3371 I 96629 43 I8 1 36 58 24 57916 9 42084 61292 II 38708 03376 2 96624 42'19 I 28 58 32 57947 To 42053 61328 i 38672 o338i 2 96619 4i 20 9 I 20 2 58 4o 9.57978 o10 10.42022 9.6136412 i o.38636 io.o3386 2 9.96614 40 21 I 2 58 48 58oo8 II 41992 614oo i3 38600 03392 2 96608 39 22 I 4 58 56 58039 II 4196I 61436 i3 38564 o33971 2 96603 3 23 0 56 59 4 58070 12 41930 61472 I4 38528 03402i 2 96598 37 24 0 48 59 12 58IOI 12 41899 61508 14 38492 o34:71 2 96593 36 25 9 o 40 2 59 20 9.58,131310.4i869 9.61544 i5 io.38456 10o.o03412 2 9.96588 35 26 o 32 59 28 58162 13 4i838 61579 15 38421 o34I8 2 96582 34 9.7 o 9.4 59 36 58I 99.1~4 4z77 6~611 8o4 048' 67 27 0 24 59 36 5892 i4 4i8o8 6M65 i6 38385 03423 2 96577 33 28 0 16 59 44 589223 4 41777 6i65i 17 38349 03428'2 96572 32 29 o 8 59 52 58253 i5 41747 61687 17 383i3 03433 3 96567 3i 30o 9 0 03 0 oo9.58284 i5 0.o4176 9.61722 1810.38278 0o.o3438 3 9.96562 30 3i 8 59 52 o 8 583i4 i6 4i686 61758 i8 38242 03444 3 96556 29 32 59 44 0 i6 58345 i6 4i655 61794 i9 38206 03449 3 96551 28 33 59 36 0 24 58375 17 41625 6i83o 20 38170 03454 3 96546 27 34 59 28 0 32 584o6 17 41594 6i865 20 38i35 03459 3 9654i 26 35 8 59 20o 3 0 40 9.58436 18 Io.4i564 9.69o0 21,0o.3809gg io.o3465 3 9.96535 25 48 6i936 21386037 96530 2.4 36 59 12 0 48 58467 8 4i533 61 38o64 03470 3 965324 37 59 4 0 56 58497 19 4i5o3 61972 22 38028 03475 3 96525 23 38 58 56 I 4 58527 19 41473 62008 23 37992 o348o 3 96520 22 39 58 48 1 12 58557 20 4M443 62043 23 37957 03486 3 96514 21 4o 8 58 40o 3 I 20 9.58588 20 i0.41412 9.62079 2-4 1o0.3792I 10.03491 3 9.96509 20 4' 58 32 I 28 586i8 21 41382 62II4 24 37886 03496 4 965041ig 42 58 24 I 36 58648 2i 41352 62150 25 37850 03502 4 96498 i8 43 58 i6 44 58678 22 41322 62185 26 37815 03507 4 96493 17 44 58 8 I 52 58709 22 41291 62221 26 37779 03512 4 96488 i6 45 8 58 oi 3 2 0 9.58739 23 10.4126 9.62256 27 0o.37744 1o.o 357 4 9.96483 I5 46 57 521 2 8 58769 23 41231 62292 27 37708 03523 4 96477 14 47 57 44 2 i6 58799 24 4I201 62327 28 37673 03528 4 96472 13 48 57 36 2 24 58829 24 41171 62362 29 37638 o3533 4 96467 12 49 57 28 2 32 58859 25 4i14, 62398 29 37602 03539 4 9646 11I So 8 57 20 3 2 4o 9.58889 25 io.4iiii 9.62433 3o i0.37567 io.o3544 4 9.96456 IO 5i 57 12 2 48 58919 26 410o8 62468 30 37532 03549 4 9645 9 52 57 4 2 56 58949 26 4io5i 62504 31 37496 03555 5 96445 53 56 56 3 4 58979 27 4o102 62539 32 37461 03560 5 96440 7 54 56 48 3 12 590 27 40991 62574 32 37426 03565 5 96435 6 55 8 56 4o 3 3 20 9.59039 28 I0.4096i 9.62609 33 10.3739i i0.o3571 5 9.96429 5 56 56 32 3 28 59069 28 40931 62645 33 37355 03576 5 96424 4 57 56 24 3 36 59098 29 40902 62680 34 37320 o358i 5 96419 3 58 56 i6 3 44 59zi8 29 40872 62715 35 37285 03587 5 96413 2 59 56 8 3 52 59158 30 40842 62750o 35 37250 03592 5 96408 x 60 56 o 4 o 59188 3i 40812 62785 36 37215 03597 5 96403 0 56 HourP.M. HourA.M. Cosine. Diff. Secant. CotangentlDiff. Tangent. Cosecant. Dff. Sine. M 112' ~ A A B B C C o 67 Seconds of time..... 4 5 6 7 (A 4 II iS 19123 27 Prop. parts of cols. B!\9 13 /B 22'? 31 C 2,3,/ 4/ ~/ 3/,~/ 5/ Page 2M8S TABLE XXVII. $'. ~s~~,. Log. Sines, Tangents, and Seeants. 2t30 A A B B C c 156 M HourA.M. Hour P.m. Sine. IDiff. Cosecant. Tangent. Diff. Cotangent Secant. Diff. Cosine. M 8 56 03 4 o9.59i88. o.4o812 9.62785 0 10.37215 io0.03597 0 9.96403 6o 55 5 4 8 59218 o 40782 62820 37180 o36o3 o 96397 59 2 55 44 4 i6 59247 40753 62855 37145 o36o8l0 96392 58 3 55 36 424 592771 40723 62890 2 37II0o o36i31o 96387 57 4 55 28 432 59307 2 40693 62926 2 37074 036i90 96381 56 5 8 55 203 4 4o 19.59336 2 Io.4o664 9-.62961 3 o.3~ o3 10.03362409.96376 55 6 55 I2 448 59366 3 4o634 62996 3 37004 o363o 96370 54 554 4 56 59396 3 4o6o4 63o3i 4 36969 o3635 J 9636 53 8 54 56 5 4 59425 4 40575 63o66 5 36934 o364o I 96360 52 54 48 5 12 59455 4 4o545 63ioi 5 36899 o3646 96354 5i io 8 54 4o 3 52 9.59484 5 i.4o5i6 9.63135 6 o.36865 0o.o365i 9.96349 5o 1 54 32 528 59514 5 4o486 963170 6 3683o 03657 I 96343 49 12 54 24 5 36 59543 6 40457 63205 7 36795 3662 i 96338 48 x3 54 i6 5 44 59573 6 40427 63240 7 3676oj 03667 1 96333 4 J~4j o~~ ~~~~~~~~~36673 I _j9639.1Jz'4 54 8 5 52 59602 7 40398 63275 8 36725 03673 I 96327 46 i5 854 3 6 09.59632 7io.4o368 9.633io 9 io.3669o o.o 3678 9.96322 45 i6 53 52 6 8 59661 8 40339 63345 9 36655 o3684 I 9636 44 17 53 44 66 59690 8 4.03io1 63379' Io 36621 o368 2 963i 43 i8 53 36 6 24 59720 9 40280 634i4 io 36586 o3695 2 96305 42 0368 - 963,,(4 19 53 28 6 32 59749 9 4025 63449 1I 3655i 03700 2 96300 4 74~~~~ 97 20 8!53 20 3 6 4o 9.59778 10 10.40222 9.634841 io.365i6 io 03706 29.9629440o 21 53 12 6 48 598087 0 40192 63519 12 3648i 03711 2 96289 39 22 _ 3 4 656 59837 iI 4o563 63553 s3 36447 03716 2 06284 38 23 52 56 7 4 5986679 4oi34 63588 13 36412 03722o 2 96278 37 24 52 48 712 59895 1 4oio5 636231 4 36377 03727 2 96273 136 25 8 52 4o 3 20 9.59924 2 10.40076 9.63657 i41o.36343 1.3733 29.96 267 35 26 52 32 7 28 59954 13 4oo46 63692 iS 363o8 03738 2 96262 34 27 24 736 59983 13 40017 63726 i6 36274 03744 96256 33 28 52 i 4 6oo3 4 39988 6376 i6 36239 03749 3 9625132 29 52 8 752 6c4 4 63796 17 36204 03755 3 96245 31 3O 8 52 0 3 8 0o9.6007015 io.39930 9.6383o 17 io.36170 0o.o3760 3 9.96240 3o 3x 5 52 8 8 60099 15 31990 63865 i8 36i35 03766 3 96234 29 32 51 44 8i6 60128 iS 39872 63899 I8 36ioi o3771 3 96229 28 33 Si 36 8 24 60157 i6 39843 63934 i9 36o66 03777 3 96223 27 34 Si 28 832 6oi86,6 39814 6396820 36032 03782 3 96218 26 T58Si 203 8 4o 9.60215 17 10.39785 9.64003 20 10.35997 10.03788 39.962I2 25 3 Si 12 848 60244 17 39756 64037 21 35963 03793 3 96207 24 37 Si 4 8 56 60273 i8 39727 64072. 21 35928 03799 3 96201 23 38 50 56 9 4 6o3o2 8 39698 64io6122 35894 o38o4 3 96196 22 39 So 48 9 12 6o33i i9 39669 6440 232 3586o o38io 4 96190 21 4o 8 50 4 3 9 20 9.6035 19 o0.3964i 9.64175 23 i0.35825 10.0381S49.9618S 20 4 3 928 6o388 39612 6429 24 3571 3821 4 96179 19 42 50 24 36 60417 20 39583 64243 24 35757 03826 4 96174 i8 43 So I 9 44 6o446 21 39554 64278 25 35722 03832 4 9668 17 44 So 8 952 60474 21 39526 64312 25 35688 o3838 4 96162 i6 45 8 So 0 3 10 0 9.60503 22 10.39497 9.64346 26 io.35654 10.3843 49.9657 IS 46 49 52 io 8 60532 22 39468 64381 26 35619 03849 4 96151 4 47 49 44 io i6 6o56I 23 39439 644S 27 35585 o3854 4 9646 13 48 49 36 10 24 60589 23 39411 64449 28 35551 o386o 4 96140 12 49 49 28 io 32 6o6i8 24 39382 64483 28 35517 o3865 4 96135 ii o 8 49 20 3 i4o 9-.6o646 24 10.39354 9.64517 29 io.3548310.0387o 59.9629 o0 Si 49 12 io 48 60675 25 39325 64552 29 35448 03877 5 96123 52 49 4 10 56 60704 25 39296 64586 30 35414 03882 5 961188 53 48 56 4 6o732 26 39268 64620 3 - 3538o o3888 5 96112 7 13~ I 969.99J0 IO 54 48 48 II 12 6076I 26 39239 64654 3i 35346 03893 5;9617 6 55 8 48 4o.3 1I 20 9.60789. 27 10.39211 9.64688 32 i0.3532 1io0.0389 59.96io0 5 -56 4832 I28 6o88 27 39182 32 35278 9o5 96095 4 57 48 24 ii 36 6o846 28 39154 64756 33 35244 03910 5 96090 3 58 48 16 ii 44 60875 28 39125 64790 33 3520o 03916 5 96084 2 59 48 8 ii 52 6093 29 39097 64824 34 35176 o392 5 9607 I 6o 48 0 12 0 60931 29 39069 64858 35 35342 03927 6 6073 0 lvi Hour P.M.Hfoor A.M. Cosine. Duff. Secant. Cotangent Dff.I Tangent. Cosecant. Duff. Sine. _fj 1130 A A B B C C 3w Seconds of time...... i 2 3 4 5 6 7 i~p -~r__ — io -o.- - Prop. parts Of colA B 47 11 iS i8 22 25 Pro. prtsof O~s B 4 9 i3~ 17 22 26 31' 1 2 3 3 4 5 TABLE XXVII. rage 209,S~ ~Log. Sines, Tangents, and Secants. GI 240 A A B B C C 1550 M IHour A.r. Hour P.M. Sine. Diff. Cosecant. Tangent. Diff. Cotangent Secant. Diff.' Cosine. M o 8 48 03 a2 o 9.6093 o0 o.39069 9.64858 o0.35i42 0o.o3927 0 9.96073 60 I 47 52 12 8 60960 o 39040 64892 35io8 03933 0 96067 59 2 647 44 12 16 60988 1 39o012 64926 I 35o,074 03938 0 96062 8 3 4 36 12 24 6ioi61 38984 64960 2 35o4o 03944 0 96056 57 4 47 28 12 32 61045 2 38955 64994 2 35oo006 03950'J 96050 56 58 47 20 3 12 4o0 9.6-0732 I0.38927 9.65028 3 Io0.34972 i0.03955 0 9.96045 55 6 47 12 I2 48 6iioi 3 38899 65o62 3 34938 0396 jI 96039 54 7 ~ 4 14 2 56 6II29 3 38871 65096 4 34904 03966 I 96034 53 8 46 56 13 4 6ii58 4 38842 6530o 4 34870 03972 I 96028 52 9 46 48 13 I2 6ii86 4 388i4 65i64 5 34836 03978j I 96022 51 i0 8 4-6 4 3i3 20 9.612-4 5 10.38786 9.659-7 6 io.348o3 10.o3983" I 9.96017 50 II 46 32 i3 28 61242 5 38758 6523i 6 34769 03989 I 96011 49 12 46 24 i3 36 61270 6 38730 65265 7 34735 039951 6 0oo5 48 13 46 i6 13 44 61298 6 38702 65299 7 34701 40001 I 96000 47 i4 46 8 13 52 61326 6 38674 65333 8 34667 o40oo6 I 95994 46 158 46 o 3 i4 09.6i354-71io.38646 9.65366 8 i0.34634 10o0o40oi22 1 9.95988 45 i6 45 52 14 8 61382 7 386i8 654oo00 9 346oo00 040oi8 2 95982 44 17 45 44 14 i6 6i4i 8 38589 65434 9 34566 04023 2 95977 43 i8 45 36 14 24 61438 8 38562 65467 10o 34533 0402o9 2 95971 42 19 45 28 14 32 6i466 9 38534 655oi II 34499 04035 2 95965 41 20 8 45 20 3 14 40 9.61494 9 io.385o6 9.65535 11 I"o.34465 Io.o0404 2 9.95960 40 21 45 12 14 48 61522 IO 38478 65568 12 34432 o4o46 2 95954 39 22 45 4 I456 6I55o 0IO 38450 65602 12 34398 04052 2 95948 38 23 44 56 i5 4 61578 I1 38422 65636 13 34364 04058 2 95942 37 24 44 48 i5 12 6i6o6 II 38394 65669 i3 3433i 04063 2 95937 36 25 8 44 4 3 i5 2o 9.6i634 12 io.38366 9.65703 4 1o0.34297 IO.O4069 2 9.95931 35 26 44 32 iS 28 61662 I2 38338 65736 i5 34264 04075 2 95925 34 27 44 24 i5 36 61689 12 383ii 65770 i5 34230 04080 3 95920 33 28 44 i6 i5 44 61717 i3 38283 65803 i6 34197 04086 3 95914 32 29 44 8 i5 52 61745 i3 38255 65837 i6 34,63 04092 3 95908 31 30 8 44 0 3 i6 0 9.61773 14 10.38227 9.65870 17 i0.3430 0o.o4098 3 9.95902 30 31 43 52 16 8 6I8oo i4 38200 65904 17 34096 o40o3 3 95897 29 32 43 44 i6 i6 61828 15 38172 65937 i8 34063 o4rog9 3 95891 28 33 43 36 i6 24 6i856 i5 38i44 65971 18 34029 o4ii5 3 95885 27 34 43 28 i6 32 6883 i6 38117 66004 19 33996 o412 3 95879 26 358 43 20 3 i6 4- 9.691ii i6 i0.3808- 9.660382 o 0.33962 10.o 4127 3 9.95873 25 36 43 12 i6 48 61939 17 38o6i 66071 20 33929 o4132 3 95868 24 37 43 4 i6 56 61966 17 38o34 66io4 21 33896 o4i38 4 95862 23 38 42 5 17 4 6i994 z8 38oo006 66i38 2z 33862 o4144 4 95856 22 39 42 48 7 12 620a21 i8 37979 66171 22 33829 o4i5o 4 95850 21 4o 8 42 40o 3 17 20 9.62049,8 io.3795i 9.66204 22 io.33796 io.o4i56 4 -9.95844 20 41 42 32 17 28 62076 19 37924 66238 23 33762 o4i6i 4 95839 19 42 42 24 17 36 62104 19 37896 66271 23 33729 o4167 4 95833 i8 43 42 16 17 44 62131 20 37869 66304 24 33696 04173 4 95827 17 44 42 8 17 52 62159 20 3784i 66337 25 33663 04179 4 95821 i6 45 842 0 318 o9.62-86 T210o.37814 9.66371 25 10o.33629 Io.o4I85 4 9.95815 15 4/6 41 52 i8 8 62214 21 37786 66404 26 33596 o49go 4 958IO 14 47 41 44 i8 i6 62241 22 37759 66437 26 33563 04196 5 95804 i3 48 41 36 i8 24 62268 22 37732 66470 27 33530 04202 5 95798 12 49 41 28 I8 32 62296 23 37704 66503 27 33497 04208 5 95792 II So 8 41 20o 3 i8 4o 9.62323 - 23 o.37677 9.66537281033463 04214 995786 IO Si 4'1 2 i8 48 62350 24 37650 66570 28 33430 04220 5 9578o 9 52 41 4 i8 56 62377 24 37623 66603 29 33397 04225 5.95775 8 53 4o560 19 4 62405 24 37595 66636 3o 33364 04231 5 95769 7 54 4o 40 19 12 62432 25 37568 66669 30 3333i 04237 5 95763 6 55 8 4o 4o3 1 20 9.6245925 10.3754 9.66702 31 I~.33298 1o.o 4243 59.95757 5 56 4o 32 ic, 28 62486 26 37514 66735 31 33265 04249 5 95751 4 9575I 57 4o 24 19 36 62513 26 37487 66768 32 33232 04255 5 95745 3 58 40 i6 19 44 62541 27 37459 668oi 32 33199 o4261 6 95739 2 59 L4o 8 ig 52 62568 27 37432 66834 33 33i66 04267 6 95733 I 6o 4o 0 20 0 62595 28 37405 66867 33 33133 04272 6 95728 o M Hour P.. Hour AM.1 Cosinoe. Diff. Secant. Cotangent Diff. Tangent. Cosecant. DIff. Sine.'i 1'140 A A B B C C 65 Seconds of time..... 1' 2' 3" 4' 51 6' 7' A 3 7 1o 14 17 21 24 Prop. parts ofeols. B 4 8 13 17 21 25 9 /~/~ 1 3 /4 14 5 27 Page 210' TABLE XXVII. SI. Log. Sines, Tangents, and Secants. G. 250 A A B B C C 1540 M H-iour A.M.HourP.M. Sine. Diff.C!eosecant. Tangent. Diff. Cotangent Secant. Diff. Cosine. M o 8 40 o 3 20 0o 9.62595 o 10.37405 9.66867 Fio.33i33 10o.o 4272 019.95728 6o' 39 52 2o 8 62622 0 37378 66900 I 33ioo 04278 0 95722 59 2 39 44 2o i6 62649 I 37351 66933 I 33067 042841 o 95716 58 3 39 36 20 24 62676 I 37324 66966 2 33034 04290 0 95710 57 4 39 28 20 32 62703 2 37297 66999 2 33ool 042961 o 95704 56 5 8 39 3 2032 40o 9.62730 2 IO0.37270 9.67032 3 i0.32968 o10.04302 I 9.95698 55 6 39 i2 20 48 62757 3 37243 67065 3 32935 o4308 I 95692 54 7 39 4 2o 56 62784 3 32I6 67098 4 32902 o43i4 95686 53 8 38 56 2i 4 6281I 4 37189 6713I 4 32869 04320 I 95680 52 9 38 48 21 12 62838 4 37162 67163 5 32837 04326 I 95674 5I io 8 38 4o 3 21 20 9.62865 4 10.37135 9.67196 5-10.32804 10.04332 I 9.95668 5o iI 38 32 21 28 62892 5 37108 67229 6 32771 04337 1 95663 49 i2 38 24 2i 36 62918 5 37082 67262 7 32738 o4343 I 95657 48 i3 38 16 21 44 62945 6 37055 67295 7 32705 04349 I 9565I 47 14 38 8 21 52 62972 6 37028 67327 8 32673 04355 I 95645 46 -5 8 38 0o 3 22 0 9.62999 7 io.37001 9.67360 8 10.32640 I0o.o436i 2 9.95639 45 i6 37 52 22 8 63026 7 36974'67393 9 3260o7 04367 2 95633 44 17 37 44 22 16 63052 8 36948 67426 9 32574 04373 2 95627 43 i8 37 36 22 24 63079 8 36921 67458 Io 32542 04379 2 95621 42 19 37 28 22 32 631io6 8 36894 67491'o 32509 o4385 2 95615 4i 20 8 37 203 22 4o 9.63133 9' 0.36867 9.67524 II io.32476 10.0439I 219.95609 40 21 37 I2 2248 63159 9 36841 67556 Ii 32444 04397 2 95603 39 22 37 4 22 56 63186 lO 36814 67589 12 32411 04403 2 95597 38 23 36 56 23 4 63213 io 36787 67622 12 32378 44 2 955 37 24 36 48 23 12 63239 1iI 3676i 67654 13 32346 04415 2 95585 36 2-5 8 36 4o- 33 23o 9.632661 ili0.36734 9.67687 4 io.32313 1O.0442 3 9.95579 35 26 36 32 23 28 63292 II 36708 67719 14 32281 04427 3 95573 3 27 36 24 23 36 633i9 12 36681 67752 15 32248 04433 3 95567 33 28 36 i6 23 44 63345 12 36655 67785 I5 32215 0443 3 95561 32 29 36 8 23 52 63372 13 36628 678r7 i6 32183 0444 3 95555 31 3o 8 36 o3 24 09.63398.13 10.36602 9.67850 i6 10o.3215o io.o445i 3 9.95549 3o 3i 35 52 24 8 63425 I4 36575 67882 17 32I18 04457 3 95543 29 32 35 44 24 i6 6345I I4 36549 67965 17 32085 04463.3 95537 28 33 35 36 24 24 63478 15 36522 67947 i8 32053 04469 3 9553I127 34 35 28 24 32 63504 I5 36496 67980 i8 32020 04475 3 95525 26 3 8 35 20 3 24 40 9.6353i i5 l0.36469 9.68012 19 io.31988 0o.o 448i 4 9.955I9 25 36 35 I2 24 48 63557 i6 36443 68044 20 31956 04487 4 95513 24 37 35 4 24 56 63583 I6 36417 68077 20 31923 04493 4 95507 23 38 34 56 25 4 636Io 17 36390 68Io9 21 31891 04500 4 95500 22 39 34 48 25 i2 63636 17 36364 68I42 21 3i858 04506 4 95494 21 4 8 34 4o 3 25 2 9.63662 i8 io.36338 9.68174 22 io.3i826 io.o452I 4 9.95488 20 41 34 32 25 28 63689 18 363ii 68206 22 31794 o45i8 4 95482 19 42 34 24 25 36 63715 I9 36285 68239 23 31761 04524 4 95476 i8 43 34 i6 25 44 63741 19 36259 68271 23 31729 04530 4 95470 17 44 34 8 25 52 63767 19 36233 68303.24 31697 o4536 4 95464 i6 45 8 34 o 3 26 o 9.63794 20 Io0.36206 9.68336 24 lO.31664 I0.04542 59.95458 iS 46 33 52 26 8 63820 20 36i8o 68368 25 31632 04548 5 95452 14 47 33 44 26 16 63846 21 36i54 68400 25 3M600 04554 5 95446 I3 48 33 36 26 24 63872 21 36128 68432 26 31568 04560 5 95440 12 49 33 28 26 32 63898 22 36102 68465 27 31535 04566 5 95434 1I 5o 8 33 20 3 264o 9.63924 22 10.36076 9.68497 27 io.3i5o3 10.o 4573 5 9.95427 10 5i 33 12 26 48 63950 23 36050 68529 28 31471 04579 5 95421 9 52 33 4 26 56 63976 23 36024 6856i 28 31439 04585 5 95415 8 53 32 56 27 4 64002 23 35998 68593 29 31407 04591 5 95409 7 54 32 48 27 12 64028 24 35972 68626 29 31374 04597 5 95403 6 S 8 32 4o 3 27 20 9.64o54 24 io.35946 9.68658 30 IO.3i342 io.o46o3 6 9.95397 5 56 32 32 27 28 64080o 25 3592o 68690 30 3i3io 04609 6 95391 4 57 32 24 27 36 64io6 25 35894 68722 31 31278 046i6 6 95384 3 58 32 i6 27 44 64132 26 35868 68754 3i 31246 04622 6 95378 2 59 32 8 27 52 64i58 26 35842 68786 32 31214 04628 6 95372 I 6o 32 0 28 o 64i84 26 35816 68818 33 3I1182 04634 6 95366 o M IHour P.M. Ho-rA.M. Cosine. Diff. Secant. Cotangent Diff. Tangent. Cosecant. Diff. Sine.j M 1150 A A B B C C 64! Seconds of time...... 1" 2 39 4m 5 6 Prop. parts of cols.B 4 8 12 i6 20 24 28 C I 2, a 2,2 3 17 20 23 C I 2 2 3 L4 5 5 TABLE XXVII. Page 21 Si. Log. Sines, Tangents, and Secants. Gr. 260 A A B B C (C 1530 Mi Hour AM. HourP.m. Sine. Duff. Cosecant. Tangent. Diff. Cotangent Secant. Diff. Cosine. M 0 8 32 0 3 28 09. 64184 o.io.358i6 9.688181 oI0.3I82o10.04634 0 9.95366 6o I 31 52 28 8'642o10 0 35790 6885o z 3Ii5o o4640 0 95360 59 2 31 44 28 Z6 64236 I 35764 68882 1 311I'8 04646 0 95354 58 3 31 36 28 24 64262 I1 35738 68914 2 3io86 04652 0 95348 57 4 3i 28 28 32 64288 2 35712 68946 a 3ro54 04659 0 953,1? 56 5 8 31 20 3 28 4o 9.6433 2 Io0.356872 9.68978 3-1o.3o1022 io.o 4665 I 9.95335 55 6 31 I2 28 48 64339 3 3566I 69o0o 3 3 04671 671 95329 54 7 3I 4 28 56 64365 3 35635 69042 4 3o958 o4677 I 95323 53 8 30 56 29 4 64391 3 35609 69074 4 3o9266 04683, I 9537 52 9 30 48 29 I2 64417 4 35583; 69io6. 5 30894 04690 I 953io 5i 10 8 30 40o 3 29 219.64442 4 io.355581 9.69138 5 1io.30862 o10.o4696 I 9.95304 5o II 3o 32 29 28 64468 5 35532 69170 6 3083o 04702 I 95298 49 12 30 24 29 36 64494 5 35506 69202 6 30798 04708 I 95292 48 13 30 i6 29 44 64519 5 3548i 69234 7 30766 04714 1 95286 47 i4 30 8 29 52 64545 6 35455 69266 7 30734 o04721 I 95279 46 15 8 30 o 3 3o 0 9.6457i 6 10.35429 99.69298 8 o0.30702 100.4727 2.95273 45 i6 29 52 30 8 64596 7 35404 69329 8 30671 04733 2 95267 44 17 29 44 30 i6 64622 7 35378 69361 9 30639 04739 a 95261 43 I8 29 36 30 24 64647 8 35353 69393 9 30607 04746 2 95254 42 19 29 28 30 32 64673 8 35327 69425 io 30575 04752 2 95248 4i 20 8 29 20o 3 30 40 9.64698.8 10o.35302 9.69457 i1 i0.30543 1o.04758 2 9.95242 40 2i 29 I2 30 48 64724 9 35276 69488 ii 30512 04764 2 95236 39 22 29 4 30 56 64749 9 3525I 6952o 12 30480 04771 2 95229 38 23 28 56 31 4 64775 10 35225 69552 12 30448 04777 2 95223 37 24 28 48 31I 12 648oo o 35200 69584 13 3o4i6 04783 3 9527 36 25 8 28 40o 3 31 20o 9.64826 iI 10.35174 9.69651 31 o.30385 10o.o 04789 3 9.95211 35 26 28 32 31 28 64851 TI 35149 69647 14 30353 04796 3 95204 34 27 28 24 31 36 64877 II 35123 69679 14 30321 04802 3 95198 33 28 28 i6 31 44 64902 12 35098 69710 i5 30290 o48o8 3 95192 32 29 28 8 3i 52 64927 I2 35073 69742 i5 30258 o48M5 3 95185 31 3o 8 28 0 3 32 0 9.64953 i3 IO.35047 9.69774 i6 o0.30226 I0.0482i 3 9.95179 30 31 27 52 32 8 64978 13 35022 69805 i6 30oT95 04827 3 95173 29 32 27 44 32 i6 65oo003 14 34997 69837 17 3oi63 04833 3 95167 28 33 27 36 32 24 65029 I4 34971 69868 17 3oi0132 04840 3 9560o 27 34 27 28 32 32 65o54 I4 34946 69900 18 3oioo o4846 4 95154 26 35 8 27 20 3 32 40 9.65079 i5 io.3492z 9.69932 S8 io.3oo6 0o.O04852 4 9.95148 25 36 27 12 32 48 65io4 15 34896 69963 19 30037 4859 4 95141 24 37 27 4 32 56 65i3o i6 34870 69995 2o 3oo0005 04865 4 95135 23 38 26 56 33 4 65i55 i6 34845 70026 20 29974 04871 4 95129 22 39 26 48 33 12 65i80,6 34820 70058 21 29942 04878 4 95122 21 40 8 26 40o 3 33 20 9.65205 17 10.34795 9.70089 21 10.2991 io.o4884 4 9.95116 20 41 26 32 33 28 65230 17 34770 70121 22 29879 04890 4 95o110 9 42 26 24 33 36 65255 i8 34745 7o0152 22 29848 04897 4 95103 i8 43 26 i6 33 44 65281 i8 34719 70184 23 29816 04903 5 95097 17 44 26 8 33 52 65306 19 34694 70215 23 29785 04910 5 95090 i6 45 8 26 0o 3 34 o 9.6533 i91 0o.34669 9.70247 24 10.29753 10.04916 5 9.95084 x5 46 25 52 34 8 65356 1 34644 70278 24 29722 04922 5 95078'4 47 25 44 34 i6 6538x 2o 34619 70309 25 29691 04929 5 95Q71 13 48 25 36 34 24 65406 20 34594 70341 25 29659 04935 5 95065 12 49 25 28 34 32 6543i 21 34569 70372 26 29628 04941 5 95059 ii 5o 8 25 20o 3 34 40 9.65456 2z 0.34544 9.70404 26 10.29596 ic.o4948 5 9.95o52'o 5i 25 12 34 48 6548i 22 34519 70435 27 29565 04954 5 95046 9 52 25 4 34 56 65506 22 34494 70466 27 29534 04961 5 95039 8 53 24 56 35 4 6553i 22 34469 70498 28 29502 04967 6 95033 7 54 24 48 35 12 65556 23 34444 70529 28 29471 04973 6 95027 6 55 8 24 4o 3 35 20 9.65580 23 10.34420 9.70560 29 10o.29440 io.o 4980 6 9.95020 5 56 24 32 35 28 65605 24 34395 70592 30 29408 04986 6 95o014 4 57 24 24 35 36 65630 24 34370 70623 3o 29377 04993 6 95007 3 58 24 16 35 44 65655 25 34345 70654 3i 29346 04999 6 95001 2 59 24 8 35 52 6568o 25 34320 70685 3i 29315 o5oo5 6 94995 1 60 24 o 36 o 65705 25 34295 707i7 32 29283 05012 6 94988 o M HourP.M. HourA.M. Cosine. Diff. Secant. -CotangentlDiff. Tangent. Cosecant. Diff. Sine. M 1160 A A B B C C &~ Seconds of time...... 1 2' 38 45 58 6' 78.A 3 6 Io 3 i6 19 i2 Prop. parts ofcols 4 8 12 i6 20 24 28o C z 2 2 3 4 5 6 Pag,,212] TABLE XXVII.'. Log. Sines, Tangents, and Secants. 270 A A B B C c 1520 M Hour A.M.IHour P.vi. Sine. JDiff. Cosecant. Tangent. Diff. Cotangent[' Secant.:Diff. Cosine. M ol 8 24 3 36 0 9.65 5 o 0.34295 9.70771:10.29283 o0.050I2 09.94988 6o 1 23 52 36 8 6572 0 34271 70748 I 29252 o5oi8 o 94982 59 2 23 44 36 16 65754 1 34246 70779 I 29221 050251 0 94975158 3 23 36 36 24 6577 1 34221 7081 2 29 90 o5o3i 0 94969 57 4 23 28 36 32 658o4 2 34196 70841 2 29159 o5o38 o 94962 56 5 8 23 20 3' 36 4 9.65828 2C io.34172 9.-70873 3 10.29127 1O.050441 94956 55 6 23 12 36 48 65853 2 34147 70904 3 29096 o5o5 I 94949 54 7 23 4 36 56 65878 3 34122 70935 4 29065 05057 I 94943 53 8 22 56 37 4 65902 3 34098 70966 4 29o34 o5o.641 94936 52 9 2248 37 12 65927 4 34073 70997 5 2900oo3 05070o I 94930 5i i 8 22 40o 3 37 20 9.6592 411o.34o48 9.71028 510.28972 10.05077 I.94923 /o II 22 32 37 28 65976 4 34024 71o59 6 28941 o5o83 I 949I7 49 a12 22 24 37 36 66ooi 5 33999 71090 6 28910 05089 I 949I" 48 13 22 i6 37 44 66025 5 339775 7'112' 7 28879 o5og96 I 94904 47 I4 22 8 37 52 66o5o 6 33950 71153 7 28847 05102 2 94898 46 15 8 22 0o3 38 0 9.66075 6io.33025 9.71184 8 10.28816 10.05io9 2 9.9489, 45 i6 21 52 38 8 66099 6 33-oi 71215 8 28785 o5ii5 2 94885 44j 17 21 44 38 6 66124 7 33876 71246 9 28754 05122 2 94878143 i8 21 36 38 24 66i48 7 33852 71277 9 28723 05129 2'94871 42 19 21 28 38 32 66173 8 33827 71308 o10 28692 o5i35 2 94865 4i 20 8 21 20 3 38 4o 9.66i97 8 io.338o3 9.7i339 10 10.28661 10.0 5I42 2 9.94858 40 21 2I I2 38 48 66221 8 33779 71370 I? I 28630 o5I48 2 94852 39 22 21 4 38 56 66246 9 33754 71401 II a8599 o5i55 2 94845 38 23 20 56 39 4 66270 9 33730 71431 12 28569 o5i6i 3 94839 37 24 20 48 39 12 66295 io 337o5 71462 12 28538 o5i68 3 94832 36 25 8 20 4o 3 39 20 9.663i9 10o0.3368 9.71493 i3 10.28507 io.o5I74 39.94826 35 26 20 32 39 28 66343 iI 33657 7i524 3 28476 o5i8i 3 94819 34 27 20 24 39 36 66368 I' 33632 71555 14 28445 o587 3 948o3 33 28 20 i6 39 44 66392 II 336o8 71586'4 28414 05194 3 94 806 32 29 20 8 39 52 664i6 I2 33584 71617 15 28383 05201 3 94799 13 3O 8 20 0 3 4o0 9.6644I, 12 o.33559 9.7i648 is' 10o.28352 1 0.05207 3 9-94793 30 31 i 52 4o 8 66465 3 33535 71679 i6 2832 o05214 3 94786 29 32 19 44 4o i6 66489 13 335i 7179 1i6 28291 05220 4 942780 28 33 19 36 40 24 665i3 i3 33487 71740 17 28260 05227 4 94773 27 34 i9 28 4o 32 66537 114 33463 71771 17 28229 05233 4 94767 26 35 8 Ig1 20 34o 4o 9.66562 14 1io.33438 9.7i802 i8 10.28198 10.05240 4 9.94760 25 36 1g 12 4o 48 66586 i5 33414 71833 19 28167 o5247 4 947531 24 37 i9 4 4o 56 666io 15 33390o 7863 19 281837 05253 4 94747 23 38 I8 56 41 4 66634 i5 33366 71894 20 28106 05260o 4 94740 22 39 18 48 41 12 66658 i6 33342 71925J20 28075 05266 4 94734 21 40 8 — 8 4o 3 41 20 9.66682-I6 io.333-8 9.7I955 21 j0o.8045 1o.05273 4 9.94727 20 4i i8 32 41 28 66706 17 33294 71986 21 28o014 05280 4 94720 19 42 i8 24 4' 36 66731 17 33269 72017 22 27983 05286 5 94714 i8 43 is8 i6 4' 44 66755 I7 33245 72048 22 27952 05293 5 94707 17 44 i8 8 4 52 66779 18 3322I 72078 23 27922 o53oo 5 94700 i6!45 8 8 0 3 42 0 9.66803 i- Io.33197 9.72109 23 10-.2789 io.o53o6 5 9.94694 1S 46 17 52 42 8 66827 19 33173 72140 24 2786o o53i3 5 94687'4 47 17 44 42 i6 6685I 1l 33149 72170 24 27830 05320 5 94680 13 48 17 36 42 24 668751 9 33125 72201 25 27799 05326 5 94674 12 49'7 28 42 32 66899 2o 33ioi 72231 25 27769 o5333 5 94667 II So 8 17 20 3 42 40 9.66922 20 10.33078 9.72262 26 10.27738 io.0534o 5 9.94660o10 SI 17 12 42 48 66946 21 33o54 72293 26 27707 o5346 6 94654 9 52 7 4 42 56 66970 21 33o3o 72323 27 27677 05353 6 94647 8 53 i6 56 43 4 66994 21 33oo6 72354 27 27646 o536o 6 94640 7 54 i6 48: 43 12 67018 22 32982 72384 28 27616 o5366 6 94634 6 55 8164 3 43 20 19.6704222 1:0.32958 9.7245 28 10.27585 10o.o5373 6 9.94627 5 56 I6 32 43 28 67o66 23 32934 72445 29 27555 o538o 6 94620 4 57 i6 24 43 36 67090 23, 3290o 72476 29 27524 o5386 6 946,4 3 58 16 i6 43 44 671i3 23 32887 72506 30 27494 05393 6 94607 2 59 6 8 43 52 671371 24 32863 72537 30 27463 o54oo 6 946oo00 I 6o i6 0 44 o 67161 24 32839 72567 31 27433 05407 7 94593 o M Hlour p..HoourA.M. Cosine. Diff. Secant. CotangentlDiff. Tangent. Cosecant. Diff. Sine. M 117o A A B B'C C 62~ Seconds of time...... 1' 2' 3' 4I 5' 6' 7' A 3 6 9 12 i5 i8 21 Prop. parts ofcols. 4 8 12 5 19 23 27 C 2 2 3 4 5 6 TABLE XXVII. [Page 213 s8'~. ~ Log. Sines, Tangents, and Secants. G. 280 A A B' B C C 1510 M HourA.m Hour P.mI. Sine. Diff. Cosecant. Tangent. Diff. Cotangent Secant. Duff. Cosine. M o 8 6 o 3 44 o 9.67i6 o1.32839 9.725671 o i0o.27433 I.o'54-o709.94593 6o iS 52 44 8 67185 o 32815 72598 I 27402 05413 o 94587 59 2 15 44 44 i6 67208 32792 72628 I 27372 05420 0 94580 58 3 15 36 44 24 67232 32768 72659 2 27341 05427 o 94573 57 4:5 28 44 32 67256 2 32744 72689 a 27311 o5433o 94567 56 5 8 i5 20 3 44 4 9.67280 2 10.32720 9.72720 3o0.2728o io.o-544o I9.94560 55 6 [5 12 44 48 67303 2 32697 72750 3 27250 054471 I 94553 54 7 i5 4 44 56 67327 3 32673 72780 4 27220 05454 I 94546 53 8 i4 56 45 4 67350 3 32650 728i1 4 27189 o546o i 94540 52 9 14 48 45 1.2 67374 3 32626 7284I 5 27159 05467 I _94533 5I IO 8 i4 4o 345 20 9.67398 4io.32602 9.72872 5 10.27128 o10.05474' i 9.94526 50 II 14 32 45 28 67421 4 32579 72902 6 27098 o548I 94519 49 12 14 24 45 36 67445 5 32555 72932 6 27068 05487 I 94513 4 13 I4 i6 4544 67468 5 32532 72963 7 27037 05494 I 94506 47 14 i4 8 45 52 67492 5 32508 72993 7 27007 0550oi 2 94499 46 i5 8 4 0 346 09.67515 610.32485 9.73023 8 10o.26977 io.o55o8 2 9.94492 45 i6 i3 52 46 8 67539 6 32461 73054 8 26946 o55i5 2 94485 44 17 13 44 46 i6 67562 7 32438 73084 9 26916 05521 2 94479 43 i8 13 36 4624 67586 7 32414 73114 9 26886 05528 2 94472 42 19 13 28 46 32 67609 7 32391 73144 10o 26856 05535 2 94465 4, 20 8 13 20o 3 46 4o 9.67633 8 o.32367 9.73175 1o Io.26825 i0.05542 2 9.94458 40 21 13 12 46 48 67656 8 32344 73205 II 26795 05549 2 94451 39 22 13 4 46 56 67680 9 32320 73235 II 26765 0555 3 9444538 23 12 56 47 4 67703 9 32297 73265 12 26735 05562 3 94438 37 24'12 48 47 12 67726 9 32274 73295 12 26705 05569 3 94431 36 25 8 12 40 3 47 20 9.6775o0'o 10.32250 9.73326 I3'O.26674 I0.O5576 39.94424 35 26 12 32 47 28 67773 Io 32227 73356 13 26644 055833 94417 34 27 12 24 47 36 67796 Io 32204 73386 i4 26614 05590 3 94410o 33 28 12 i6 47 44 57820 I 32180 73416 i4 26584 05596 3 94404 32 29 12 8 47 52 67843 i, 32157 73446 I5 26554 05603 3 94397 3 30 8 12 o03 48 09.67866 12o.32if4 9.73476 I15 0.26524 io.o56o 3.94390 30 31 1.1 52 48 8 6789 12 32II0 73507 i6 26493 056174 94383 29 32 I, 44 48 i6 67913 12 32087 73537 i6 26463 05624 4 94376 28 33 u 36 48 24 67936 13 32064 73567 17 26433 o563i 4 94369 27 34 IX 28 48 32 67959 13 32041 73597 17 26403 056384 94362 26 358 I 2o 348 40 9.67982 I4 10.3208 9.73627 i8'o.26373 ro.o5645 49.94355 25 36 11 12 48-48 68oo006 14 31994 73657 i8 26343 0565: 4 94349 24 37 I, 4 48 56 68029 14 31971 73687 19 26313 o5658 4 94342 23 38 Io 56 49 4 68052 15 31948 73717 19 26283 056654 94335 22 39 ro 48 49 I2 68075 I5 31925 73747 20 26253 056724 94328 2I 40 8 io 40 3 49 2o 9.68098 i6 io.3i 02 9.73777 20 i0.26223 10.05679 5 9.94321 20 4 10o 32 49 28 68121 i6 31879 73807 21 26193 05686 5 94314 19 42 o10 24 49 36 68i44 16 3i856 73837 21I 26163 05693 5 94307 i8 43 Io i6. 49 44 68167 17 3i833 73867 22 26133 05700 5 94300 17 44 io 8 49 52 6890o 17 3M8io 73897 22 26103 05707 5 94293 i6 45 8 Io o 350 o9.68213 7 10o.3i787 9.73927 23'io.26073 o.o5741 5 9.94286 i15 46 52 50 8 68237 i8 31763 73957 23 26043 0572 5 94279 T4 47 944 So i6 68260 i8 31740 73987 24 26013 05727 5 94273 13 48 936 50 24 68283 19 31717 74o017 24 25983 05734j 5 94266 12 49 9 28 50 32 68305 19 31695 74047 25 25953 o5741 6 94259 Ii So 8 9 2o 3 50 40o 9.68328 9 10o.31672 9.74077 251io.25923 io.o5748 6.94252 o10 5i 9 12 50o 48 6835i 20 31649 74107 26 25893 057556 94245 9 52 9 4 o 506 68374 20 31626 7413726 25863 057626 94238 8 53 8 56 5 4 68397 21 3i603 7416627 25834 05769 6 9423I 7 54 848 5i I2 68420 21 3i580 74196 27 25804 05776 6 94124 6 f55 8 8 40 351 20 9.68443 21 10C.31557 9.74226 28 10.25774 o10.05783 69.94217 5 56 8 32 5i 28 68466'22 31534 74256 28 25744 05790 6 942IO 4 57 824 5i 36 68489 22 31511 7428629 25714 5797 7 94203 3 58 8 i6 5i 44 68512 22 31488 74316 29 25684 05804 94196 2 59 8 8 5i 52 68534 23 3i466 7434530 25655 o58ii 7 94189 I 6o 8 o 52 0 68557 23 3i443 74375 30 25625 058i87 94182 o Hour P.m. Hour A.M. Cosine. DitD. Secant. Cotangent Diff. Tangent. Cosecant. Diff. Sine. M 1180'A A B B C C 61 Seconds of time...... 1' 2' 3' 4' 5' 6' 7' A 3 6 9 12 i5 17 20 Prop. parts of cols. B 4 8 II 5 19 23 26 C i 2 3 3 4 5 6 |Page 2141 TABLE XXVII. Log. Sines, Tangents, and Secants. GI. 290 A A B B C C 1500 M Hour A.M. Hour P.M. Sine. Diff. Cosecant. Tangent. Diff. Cotangent Secant. Diff. Cosine. M o8 8 o 3 52 09.68557 o.3I443 974375 01I0.25625 Io.o58I8 o 9.94I82 6 I 7 52 52 8 68580 o 3420 74405 o 25595 o5825 0 94175 59 2 7 44 52 I6 686o3 I 3I397 74435 I 25565 05832 o 4I68 58 3 7 36 52 24 68625 1 31375 74465 I 25535 o5839 0 94I6I 57 4 7 28 52 32 68648 I 31352 74494 2 25506 o5846 o 94I54 56 5 8 7 20 3 52 40 9.68671 2I0.3I329 9.74524 2 0.25476I o9.94I47 55 6 7 I2 52 48 68694 2 3i3o6 74554 3 25446 o586 I 94140 54 7 7 4 52 56 687I6 3 3I284 74583 3 25417 o5867 I 94133 53 8 6 56 53 4 68739 3 3126I 74613 4 25387 o5874 I 94I26 52 9 6 48 53 I2 68762 3 31238 74643 4 25357 o588I I 9g4I1 5I Io 8 6 4o 3 53 20 9.68784 410.312I6 9.74673 5 I10.25327 Io.o5888 I 9.94112 50 II 6 32 53 28 68807 4 31I93 74702 5 25298 05895 I 94I05 49 12 6 24 53 36 68829 4 31I71 74732 6 25268 0590o2 I 94098 48 13 6 I6 53 44 68852 5 3II48 74762 6 25238 05910 2 94090 47 I4 6 8 53 52 68875 5 31I25 7479I 7 25209 05917 2 94083 46 I5 8 6 3 54 0 9.68897 6 IO.3I03 9.74821 7 10.25I79 10.05g24 2 9.94076 45 i6 5 52 54 8 68920 6 3Io80 74851 8 25I49 05931 2 94069 44 I7 5 44 54 i6 68942 6 3io58 74880 8 25I20 05938 2 94062 43 I8 5 36 54 24 68965 7 30o35 749I0 9 25090 05945 2 94055 42 19 5 28 54 32 68987 7 3ioi3 74939 9 2506I 05952 2 94048 4I 20 8 5 20 3 54 40 9.690I 7 Io.30990 9.74969 I0 10.2503I I0o.o5959 29.9404I 40 21 5 2 54 48 69032 8 30968 74998 10 25002 o5966 3 94034 39 22 5 4 54 56 69055 8 30945 75028 II 24972 05973 3 94027 38 23 456 55 4 69077 9 30923 75058 r 24942 o5980 3 94020 37 24 4 48 55 2 69oo00 9 30900 75087 12 24913 05988 3 940I2 36 25 8 4 43 55 20 9.69122 9 io.3o878 19751I7 12 10.24883 10.05995 3 9.94005 35 26 4 32 55 28 69I44 Io 3o856 75I46 i3 24854 o6002 3 93998 34 27 4 24 55 36 69I67 Io 3o833 7576 13 24824 o600oo 3 9399I 33 28 4 i6 55 44 69I89 Io 3o8ii 752051 4 24795 060o6 3 93984 32 29 4 8 55 52 69212 II 3(788 75235 I 4 24765 06023 3 93977 31 3 8 4 0 3 56 o 9.69234 I I. I0.30766 9.75264 5 I o.24736 i o.o6030 4 9.93970 3o 31 3 52 56 8 69256 I2 30744J 75294 i5 24706 o6037 4 93963 29 32 3 44 56 i6 69279 12 3072I 75323 I6 24677 o6o45 4 93955 28 33 3 36 56 24 6930I 12 30699 75353 i6 24647 o6052 4 93948 27 34 3 28 56.32 69323 13 30677 75382 17 24618 o6059 4 93941 26 35 8 3 20 3 56 40 9.69345 I3 io.30655 9.754 10 I7 I0.24589 Io.o6066 4 9.93934 25 36 3 I2 56 48 69368 13 30632 75441 i8 24559 o6073 4 93927 24 37 3 4 56 56 69390 I4 3o6io 75470 i8 24530 o6080 4 93920 23 38 2 56 57 4 69412 I4 3o588 75500l 19 24500 o6o88 5,93912 22 39 2 48 57 I2 69434 15 30566 75529 I9 2447I o6095 5 93905 21 4- 8 2 4o 3 57 ao 9.69456 I5 io.3o544 9.75558 20 IO.24442 1Io.o602 5 9.93898 20 41 2 32 57 28 69479 I5 3052I 75588 20 24412 061o9 5 9389I I9 42 224 57 36 69501 16 30499 756I7 2I 24383 06116 5 93884 i8 43 2 i6 57 44 69523 i6 30477 75647 21 24353 06124 5 93876 17 44 2 8 57 52 69545 16 30455 75676 22 24324 o6i3i 5 93869 I6 45 8 2 3 58 0 9.69567 17 io.30433 9.75705 22 10.24295 Io.06I38 59.93862 i5 46 52 58 8 69589 17 304II 75735 23 24265 o6I45 5 93855 I4 ~471 I 44 58 i6 696II I7 30389 75764 23 24236 o6i53 6 93847 I3 48 T 36 58 24 69633 i8 30367 75793 24 24207 6,6o 6 93840 I2 49 1 28 58 32 69655 i8 3o345 75822 24 24I78 o6i67 6 93833 I I 50 8 I 20 3 58 40 9.69677 I9 o.30o323 9.75852 25 10.24I48 1o0.0674 6 9.93826 i0 51 I 12 58 48 69699 I9 3o3oi 75881 25 24II9 o6i8i 6 93819 9 52 1 4 58 56 6972I 19 30279 759IO 26 24090 06189 6 938II 8 53 o 56 59 4 69743 20 30257 75939 26 24o06 o6g96 6 93804 7 54 o 48 59 I2 69765 20 30235 75969 27 24031 06203 6 93797 6 55 8 o0 4o 3 59 20 9.69787 20 I0o.30213 9.75998 27 10.24002 I 0.62 7 9.93789 5 56 o 32 59 28 69809 21 30oi1 76027 28 23973 062I8 7 93782 4 57 0 24 59 36 6983I 21 30169 76o56 28 23944 o6225 7 93775 3 58 o i6 59 44 69853 22 30o47 76o86 29 23914 o6232 7 93768 2 59 o 8 59 52 69875 22 30oi25 76I I5 29 23885 o6240 7 93760 I 6o 0 0 4 0 o 69897 22 3oo3 76I44 29 23856 06247 7 93753 0 _ Hour P.-. Hour AA.M. Cosine. IDiff. Secant. CotangentlDiff. Tangent. Cosecant. Dff. Sine. M 1190 A A B B C C 60t Seconds of time...... J1 2S 3. 4a 58 68 75 A 3 6 8 |I 14 17 20 Prop. parts of cols. B 4 7 I 5 I8 22 26 C I 2 3. 4 14 5 6 TABLE-~ XXCVIL [ Page 215 S. Log, Sines, Tangents and Secants. W[ 300 A A B B C C 1490' ]Hour- A.m.Hour pIm. Sine. Diff Cosecant. Tangent. Diff. Cotangent Secant.Diff- Cosine. -M O io.3oi~~o3 J o.238564oo2 9 35 olj 8 o ol Lf O 019.69897 9 -3Ia ~76,44 olo286:o ~ 47 0 ~9i51s! 7 59 52 l 8 6999J oI 3oo8 76173 O 23827 o62541 o i 93746J59 2:59 44 O 6 6994i1 I 3oo59 762402 1 23 98 o6262 0 93738 581 3 59 36 0 24 69963 I 30037 76231 I 23769 06269 0 9373 57 4 59 28 0 32 69984 I 3oo00i6 76261 2 23739 0627 0 93724 56 5 7~ 59 20 4 o 40 9.70006 2 10.29994 976290 2 10.23710 0.062831 I 9.93717 55 6 59 12 0 8 70028 2 29972 7639I 3 23689 06291o I 93709 54 7 59 4 0 6 oo5o 3 29950 76348 3 23652 06298 I 93702 53 8 58 56 4 70072 3 29928 76377 4 23623 o63o5 I 93695 52 9 58 48 912 70093 3 29907 76406 4 23594 o63i3 I 93687 5i 10 7 58 40 4 I 20 9.70115 4 10.29885 9.76435 5'1. 23565 10.06320 I 9.93680 So i! 58 32 I 28 70137 4 29863 76464 5 23536 06327 I 93673 49 ~12 58 24 I 36 70159 4 2984 76493 6 23507 o6335 C 93665 48 13 58 i6 i44 70180 5 29820 76522 6 23478 06342 2 93658 47 14 58 8 i 52 70202 5 29798 76551 7 23449 o635o 2 93650o 46 TS 7 58 0 4 2 0 9.70224 5 10.29776 9.76580 7 10.23420 10.06357 2 9.93643 45 i6 57 52 2 8 70245 6 29755 76609 8 23391 06364 2 93636 44 17 57 44 2 i6 70267 6 29733 76639 8 23361 06372 2 93628 43 917 4, 23594 72 I 8 57 36 2 24 70288 6 29712 76668 9 23332 06379 2 93621 42 19 57 28 2 32 70310 7 29690 76697 9 23303 o6386 2 93614 4 20 7 57 20 4 2 4 9.70332 7 10.29668 9.76725 10 1o0.23275 o0.06394. 2 9.93606 40 21 57 312 2 48 70353 8 29647 76754 I0 23246 o64oi 3 93599 39 22 57 4 2 56 70375 8 29625 76783 II 23217 06409 3 93591 8 23 56 56 3 4 70396 8 29604 76812 II 23188 o64i6 3 93584 37 24 56 48 3 12 70418 9 29582 76841 12 23159 o643 3 935771 36 25 7 56 40 4 3 20 9.70439 9 i0.29561 9.76870 12 10.23130 io.o643i 3 9.93569 35 26 56 32 3 28 70461 9 29539 76899 13 23ioi o6438 3 93562 34T 27 56 24 3 36 70482 IO 29518 76928 i3 23072 o6446 3 93554 33 28 56 i6 3 44 70504 I0 29496. 76957 13 23043 o6453 3 93547 32 29 56 8 3 52 70525 IO 29475 76986 14 23014 o6461 4 93539 381 3o 7 56 0 4 4 0 9.70547 11I0.29453 9-770i5 14 10.22985 10.06468 4 9.93532 30 31 55 52 4 8 70568 I I 29432 77044 iS 22956 06475 4 93525 129 32 55 44 4 i6 70590 II 29410 77073 iS 22927 o6483 4 935I7 28 33 55 36 4 24 706ii 12 29389 77,101 6 22899 06490 4 93510 27 34 55 28 4 32 70633 12 29367 77130 i6 22870 06498 4 93502 26' 35 7 55 20 4 4 40 9.70-65413 I0.29346 9.77159 17 0.22841 Io.o65o5 4 9.93495 25 36 55 12 4 48 70675 I3 29325 77188 I7 22812 o65i3 4 93487 24 37 55 4 4 56 70697 13 29303 77217 i8 22783 06520 5 93480 23 38 54 56. 5 4 70718 i4 29282 77246 i8 22 754 06528 5 93472 22 39 54 48 5 12 70739 i4 29261 77274 9 2.2726 o6535 5 93465 2I 401 7 54 4 4 5 20 9.-7076 -4 10.29239 - 977303 19 0.22697 10.06543 5 9.93457 120 4I 54 32 5 28 70782 i 29218 77332 20 22668 o655o 5 9350199 42 4 2-4 5 36 70803 iS 29197 77361 20 22639 o6558 5 93442 i8 43 54 16 5 44 70824 J 29176 77390 21 22610 o6565 5 93435 17 44 54 8 5 )2 70846 i6 29154 77418 21 22582 06573 5 93427 i6 45 7 54 0 4 6 0 9.70867 16 10.29133 9.77447 2210.22553 10.06580 6 9.93420 i5 46 53 52 6 8 70888 i6 29112 77476 22 22524 o6588 6 934J2 1i4 47 53 44 6 i6 70909 17 2909o1 77505 23 2.2495 06595 6 9341I' 13 5648 53 36 27o4,J_% 982784 o64o. 6J3 93577J36j 48. 53 36 6 24 70931 17 29069 77533 23 22467 o66o3 6 93397 12 49 53 28 6 32 70952 i8 29048 77562 24 22438 o66io 6 93390 II 50 7 53 2 4 6 40 9.70973 i8 o10.29027 977591 24 10.22409o10.0668 6 9.93382 10 SI 53 12 6 48 70994 i8 29oo6 77619 25 22381 06625 6 93375 9 52 53 4 6 56 7oI5 9 28985 77648 25 22352 o6633 6 93367 8 53 52 56 7 4 710361i9 28964 77677 26 22323 o0664 7 93360 7 54 52 48 7 12 7o1058 1ig 28942 77706 26 2294 o6648 7 93352 6 55. 7 52 40-4 7 20.9.7IO7920 10.28921 9.77734 26 10.22266 io.o665679.93344 56 52 32 7 28 71o100 20.28goo 77763 27 22237 o6663 7 93337 4 57 52 24 36 71121 20o 28879 7779l 27 22209 o6671 7 93329 3 58 52 i6 7 44 71142 21 28858 778201 28 2280 06678 7 93322 2 -59 52 8 7 52 71163 2I 28837 778491 28 22i5i: o6686 7 93314 6o 52 0 8 0 718421 28816 77877 29 22123 06693 7 933071 C Ml Hour P.M.IHour AaX. Cosine. IDff. Secant. Cotangent Diff. Tangent. Cosecant. Diff. Sine. N 12WP A' A B B C C 590 Seconds of time (1 2 3 4 5 6 71 B 3 5 4 II i4'8:22 Prop. parts of cols. A 3 I 741 6 2 25 8 32 3 1456831 Page 216] TABLE XXVII. $~I,. ~ Log. Sines, Tangents, and Secants. 310 A A B B C c 1480 M Hour A.M.Hourp.M. Sine. Diff. Cosecant. Tangent. Diff. Cotangent Secant. Dilff. Cosine. M o 7 52 0o 4 8 0 9.7i84 o'I0.28816 9.77877 o10.22123 1o0.0-6693 o9.9330760 I 5I 52 8 8 712o5 o 28795 77906 o 22094 o6701o 93299 2 5i 44 8 I6 71226 I 28774 77935 I 22o65 06709 0 9329 3 5i 36 8 24 71247 I 28753 77963 1 22037 06716 0 93284 57 4 Si 28 832 71268 a 28732 77992 2 22008 06724 I 93276 56 5 7 51 204 8 40 9.71289 2 10.287I 9.78020 21i0.2. 98o0.o673I 1 9.93269 55 6 51 12 8.48 71310 2 28690 78049 31 21951 06739 1 93261 54 7 51 4 856 71331 2 28669 78077 31 21923 06747 I 93253 53 8 50 56 9 4 71352 3 28648 78106 4 21894 06754 I 93246 52 50 48 9 I2 71373 3 28627 78135 4 2I865 06762' 1 93238 5i io 7 So 4o4 9 20 9.71393 31io.28607 9-.78163 5 10o.21837 1io.o6770 I 9.93230 50 11 5o 32 928 71414 4 28586 78192 5 21808 06777 I 93223 49 12 50 24 9 36 71435 4 28565 78220 6 21780 06785 2 93215 48 13 50 i6 944 7.1456 4 28544 78249 6 21751 06793 2 93207147 i4 50 8 952 71477 5 28523 78277 7 21723 o6800 2 93200 46'5 7 5o 0 4 1 o 0 9.71498 5o10.28502 9.7830 7 10.21.694 io.o68o8 2 9.9319245 16 49 52 io 8 71519 5 2848I 78334 8 21666 o6816 2 93184 44 }17 49 44 xo i6 7539 6 28461 78363 8 21637 06823 2 93177 43 i8 49 36 0o 24 71560 6 28440 78391. 9 21609 o683I 2 93169 42 19 49 28 io 32 71581 7 2849 78419 9 21581 068392 93161 4' 2o 7 49 2o4 ao 40 9.71602 7110.28398 9.78448 i 0.21552 o0.06846 3 9.9354 4o 21 49 12 ]o 48 71622 7 28378 78476 Io 2524 o06854 3 93146 39 22 49 4 Io 56 71643 8 2835 785051 21495 06862 3 9338 38 23 48 56 11 4 71664 8 28336 78533 II 21467 06869 3 9313i 37 24 48 48 II 12 71685 8 28315 78562 11 21438 06877 3 93123 36 7 48 4o 4 II 09.71705 9 10.28295 9.78590 12 10.2141o0 io.o6885 3 9.93.535 26 48 32 II 28 71726 9 28274 78618 12 21382 06892 3 93108 34 27 48 24 II 36 71747 9 28253 78647 i3 21353 o6goo 3 931oo 33 28 48 i6 Ii 44 71767 1o 28233 78675 I3 21325 06908 4 93092 32 29 48 8 II 5 71788 1o 28212 787041 I4 21296 06916 4 93084 3i 30 7 48 o 4 12 09.71809 0o 0.28191 9.78732 14 10.2I268 o0.06923 4 9.93077 30 3i 47 52 2 8 71829 II 28171 78760 i5 21240 06931 4 93069 29 32 47 44 12 i6 71850 Ii 28150 78789 i5 21211 06939 4 93061 28 33 47 36 12 24 7870 11 28130 78817 i6 21183 06947 4 93053 27 34 47 28 12 32 71891 12 281og 78845 i6 21155 06954 4 93046 26 35 7 47 20 4 2 40 9.71911 12 0.28o89 9.78874 7 10.21[126 100o6962 5 9.93038 25 36 47 I2 12 48 71932 I2 28068 78902 17 21098 06970 5 93030 24 37 47 4 12 56 71952 13 28048 78930 17 21070 06978 5 93022 23 38 46 56 13 4 71973 i3 28027 78959 i8 2104 06986 5 9304 22 39 46 48 i3 12 71994 13 28006 78987 i8 21013 06993 5 93007 2 I 4' 746 4 4 i3 20 9.72014 14 10.27986 9.790i5 19 10.20985 10.o7001 5 9.92999 20 41 46 32 13 28 72034 I4 27966 79043 9 20957 07009 5 92991 19 42 46 34 723/ 34 796 79043 i4 42 46 24 13 36 72055 i4 27945 79072 20 20928 07017 5 92983 i8 43 46 i6 13 44 72075 15 27925 79o00 20 20900 07024 6 92976 17 44 46 8 13 52 72096 i5 27904 79128 21 20872 07032 6 92968 i6 45 7 46 0 4 4 0 9.72116 i5 10.27884 9.7956 21 10.20844 10.07040 6.92960 i5 46 45 52'4 8 72137 i6 27863 79t85 22 20815 07048 6 92952'4 47 45 44'4 i6 72157 i6 27843 79213 22,.20787 07056 6 92944 13 48 45 36'4 24 72177 i6 27823 79241 231 20759 07064 6 92936 12 49 45 28 i4 32 72198 17 27802 79269 23 20731 0707I 6 92929 II 50 7 45 20 4 14 40 9.72218 17 I0.27782 9.79297 24 10.20703 10,0 7079 6 9.92921 10 5i 45 12 14 48 72238 i8 27762 79326 24 20674 07087 7 92913 52 45 4 14 56 72259 i8 27741 79354 25 20646 07095 7 i 92905 53 44 56 5 4 72279 i8 27721 79382 25 2o618 07103 7 92897 7 54 44 48 15 12 72299 19 27701 79410 26 20590 07111 7 92889 6 55 7 44 4o 4 ]5 20 9.72320 1910.27680 9.79438 2610.20S62 10.07119 7 9.9288i 5 56 44 32 15 28 72340'97 27660 79466 26 20534 07126 7 92874 4 57 44 24 i5 36 72360 20 27640 79495 27 20505 07134 7 92866 3 58 44 6 15 44 72381 20 27619 79523 27 20477 07142 7 92858 2 59 44 8 552 72401 20 27599 7955i 28 20449 07150 8 92850 ] 60 44 o i6 o 72421 2I 27579 7957 28 20421 o7158 8 92842 o -M Hour Pr.m.HourA.M. Cosine. 1Diff. Secant. CotangentDiff. Tangent. Cosecant. Diff.[ Sine. M 1210 A A B B C C 58 Seconds of tme...... 1 2' 3 4 5' 6' 7' 3 5 8 io 13 i5 i8 Prop. partsofeolf s B 4 7 Ii 14 I8 21 25 -C 2 2 3 4 i5 6 TABLE XXVII. [Page 217 S'. Log. Sines, Tangents, and Secants. G 32C A A B B C C 1470 M HourAM. Hour P.M. Sine. Diff. Cosecant. Tangent. Diff. Cotangent Secant. Diff. Cosine. o0 7 44 4 i6 0 9.72421 0 io0.27579 9.79579 010-o.20421 Io. 758 09.92842 60 z 43 52 16 8 7244I 0 27559 79607 0 20393 o7166 0 92834 59 2 43 44 i6 i6 72461 I 27539 79635 I 20365 07174 0 92826 58 3 43 36 i6 24 72482 I 27518 79663 I 20337 07182 0 92818 57 4 43 28 i6 32 72502 I 27498 79691 2.2o309 07190 I 9281o 56 5 7 43 20 4 16 40 9.72522 2io0.27478 9.79719 210.20o28 1o0.07197 I 9.928o 55 6 43 12 i6 48 72542 2 27458 79747 3 20253 07205 I 92795 54 7 43 4 16 56 72562 2 27438 79776 3 20224 07213 x 92787 53 8 42 56 17 4 72582 3 27418 79804 4 20o196 07221 I 9277952 9 42 48 17 12 72602 3 27398 79832 4 20o168 07229 I 92771 SI IO 7 42 4o 4 17 20 9.72622 3 10.27378 9.79860 5-1o.26140 10o.o07237 I 9.92763 5o 11 42 32 17 28 72643 4 27357 79888 5 20112 07245 I 92755 49 12 42 24 17 36 72663 4 27337 79916 6 20084 07253 2 92747 48 13 42 16 17 44 72683 4 27317 79944 6 200oo56 07261 2 92739 47 14 42 8 17 52 72703 5 27297 79972 7 20oo028 07269 2 92731 46 15 7 42 0 4 i8 o 9.72723 5'10.27277 9.80000 7 I10.20000 10.07277 2 9.92723 45 i6 4i 52 18 8 72743 5 27257 80028 7 19972 07285 2 92715 44 17 41 44 i8 I6 72763 6 27237 8oo0056 8 I9944 07293 2 92707 43 i18 4i 36 i8 24 72783 6 27217 8oo0084 8 19916 o730oi 2 92699 42 19 41 28 18 32 72803 6 27.197 80I12 9 19888 07309 3 92691 41 o20 7 41 2o 4 18 40 9.72823 7 10.27177 9.8o140' 9IO.I9860o Io0.07317 3 9.92683 40 21 41 12 i8 48 72843 7 27157 8oi68 IO 19832 07325 3 92675 39 22 4I 4 I8 56 72863 7 27137 80195 10 19805 07333 3 92667 38 23 40 56 19 4 728838 27117 80223 II 19777 07341 3 92659 37 24 4o 48 19 12 72902 8 27098 80251 11 19749 07349 3 92651 36 25 74o 40 4419 20 9.72922 8 10.27078 9.80279 12 IO-.19721 1o. 07357 3 9.92643 35 26 40 32 19 28 72942 9 27058 80307 12 19693 07365 3 92635 34 27 40 24 i9 36 72962 9 27038 80335 13 19665 07373 4 92627 33 28 40o i6 9Ig 44 72982 9 27018 80363 13 19637 07381 4 92619 32 29 40 8 19 52 73002 IO 26998 80391 13 19609 07389 4 92611 31 3o 7 4o0 4 20 0 9.73022 IO 10.26978 9.80419 14 1o.19581 100o.o 7397 4 9.92603 30 3i 39 52 20 8 730411 o 26959 80447 14 19553 07405 4 92595 29 32 39 44 o20 i6 73061 II 26939 80474 15 19526 07413 4 92587 28 33 39 36 20 24 73081 II 26919 80502 15 19498 07421 4 92579 27 34 39 28 20 32 731o0 II 26899 80530 16 19470 07429 5 92571 26 35 7 39 20 4 20 40 9.73121 I2 10.26879 9.80558 x1610o.19442 10o.o 07437 5 9.92563 25 36 39 12 20 48 73140 12 26860 80586 17 19414 07445 5 92555 24 37 394 20 56 73160 I2 26840 8o6i4 17 19386 07454 5 92546 23 38 38 5 21 4 73180o 13 26820 80642 i8 19358 07462 5 92538 22 39 38 48 21 12 73200 13 26800 80669 18 19331 07470 5 92530 21 40 7 38 40 4 21 209.73219 i31io0.26781 9.80697 g19 1o.193o3 10.074785 9.92522 20 4' 38 32 21 28 73239 14 26761 80725 19 19275 07486 6 92514 19 42 38 24 21 36 73259 14 2674I 80753 20o 9247 07494 6 92506 i8 43 *38 i6 21 44 7327814 26722 80781 2o 19219 075o02 6 92498 17 44 38 8 21 52 73298 15 26702 80808 20o 19192 07510o 6 92490 6 45 7 38 o 4 22 0 9.7338 15 o10.26682 9.80836 21 i.19164 10o.o7518 6 9.92482 iS 46 37 52 22 8 73337 15 26663 8o864 21 19136 07527 6 92473 14 47 37 44 22 i6 73357 16 26643 80892 22 19o08 07535 6 92465 13 48 37 36 22 24 73377 16 26623 80919 22 19081 07543 6 92457 12 49 37 28 22 32 73396 16 26604 80947 23 19053 07551 7 92449 1I 5o 7 37 21 4 22 4o 9.73416 7 10.26584 9.80975 23 io0.19go25 10.07559 7 9.92441i51 37 12 22 48 73435 17 26565 81ioo3 24 18997 07567 7 92433 9 52 37 4 22 56 73455 17 26545 8io30o 24 18970 07575 7 92425 8 53 36 56 23 4 73474 i8 26526 8io58 25 18942 07584 7 92416 7 54 36 48 23 12 73494 i8 26506 8o1086 25 18914 07592 7 92408 6 55 7 36 4 423 20 9.73513 i8 10.26487 9.81ii3 26 1o.18887 10.07600 7 9.92400 5 56 36 32 23 28 73533 19 26467 8ii4i 26 18859 07608 8 92392 4 57 36 24 23 36 73552 Ig 26448 81169 26 i883i 07616 8 92384 3 58 36 6I 23 44 73572 19 26428 81196 27 i88o4 07624 8 92376 2 19 36 8 23 52 73591 20 26409 81224 27 18776 07633 8 92367 1 6o 36 0 24 o 73611 20 26389 81252 28 18748 07641 8 92359 0 IMI Hour P.m.lHour ABM. Cosine. Duff.i Secant. CotangentjDiff.l Tangent. Cosecant.lDuff.D Sine. M 1220 A A B B C C 570 Seconds of time.....- " 21 3 53 6! 7 A 2 5 7 10 12 iS 17 Prop. parts of col. I 3 7 10 14 17 21 24 jI 2 1 I3 4 5 6 7 28t Pare 2181 TABLE XXVII. ~S.~~ ~Log. Sines, Tangents, and Secants. G. 330 A A B B C C 146' M Hour A.M. Hour P.M. Sine. Diff. Cosecant. Tangent. Diff. Cotangent Secant. Diff. Cosine. M 7 36 0 4 24 0 9.7361 o0 0o.26389 9.8I252 0 10.1o,8748 I0.07641 0 9.92359 6o 1 35 52 24 8 73630 o 26370 81279 o 18721 07649 0 92351 59 2 35 44 24 i6 73650 I 26350 81307 I I8693 07657 o 92343 58 3 35 36 24 24 73669 I 2633I 81335 I 18665 07665 0 9a335 57 4 35 28 24 32 73689 I 263I1 81362 2 i8638 07674 I 92326 56 5 7 35 20 4 24 40 9.73708 2 1o.26292 9.81390-2 io.I86io Io0o 7682 I 9.92318 55 6 35 12 24 48 73727 2 26273 8i4i8 3 i8582 07690 I 92310 54 7 35 4 24 56 73747 2 26253 81445 3 i8555 07698 I 92302 53 8 34 56 25 4 73766 3 26234 81473 4 18527 07707 I 92293 52 9 34 48 25 12 73785 3 26215 8500oo 4 i85oo00 07715 I 92285 5i 10 7 34 40 4 25 20 9.73805 3 10.26195 9.81528 5 io0.18472 10.07723 I 9.92277 50o iI 34 32 25 28 73824 3 26176 8i556 5 i8444 0773I 2 92269 49 12 34 24 25 36 73843 4 26157 8i583 5 18417 07740 2 92260o 48 13 34 i6 25 44 73863 4 26137 8161ii 6 18389 07748 2 9.2252 47 14 34 8 25 52 73882 4 26118 8i638 6 18362 07756 2 92244 46 Th 7 34 0 4 26 0 9.73901 5 Io0.26099 9.8i666 71o.I8334 1IO. 07765 2. 9.92235 45 i6 33 52 26 8 73921 5 26079 81693 7 I8307 0777 2 92227 44 17 33 44 26 16 73940 5 26060 8172i 8 18279 0778I 2 92219 43 i8 33 36 26 24 73959 6 2604I 81748 8 18252 07789 3 92211 42 19 33 28 26 32 73978 6 26022 81776 9 18224 07798 3I 92202 41 20 7 33 2o 4 26 40 9.73997 6 10.26oo003 9.81803 9 o10.18197 Lo.o78o6 3 9.92194 40 21 33 12 26 48 740o7 7 25983 8i83i 10 18169 0784 3 92186 39 22 33 4 26 56 74036 7 25964 8i858 Io 18142 07823 3 92177 38 23 32 56 27 4 74055 7 25945 81886 1 18114 0783. 3 92169 37 24 32 48 27 I2 74074 8 25926 81913 iI 18087 07839 3 92161 36 25 7 324 4 27 o20 9.74093 8 1o.2590o 7 9.8194 II 10o.I8059 o.o07848 3 9.92i52 35 26 32 32 27 28 7413 8 25887 81968 12 18032 07.856 4 92144 34 27 32 24 27 36 74132 9 25868 81996 12 i8oo4 07864 4 92136 33 28 32 i6 27 44 74151 9 25849 82023 13'7977 07873 4 92127 32 29 32 8 2752 74170 9 25830 82051 13 17949 o788i 4 92119 31 30 7 32 0 4 28 o0 9.74189 IO 10.2581i 9.82078 I4 10.17922 10.07889 4 9.92111 30 31 31 52 28 8 74208 1o 25792 821o6,4 17894 07898 4 92102 29 32 3r 44 28 i6 74227 10 25773 82133 i5 I7567 07906 4 92094 28 33 3i 36 28 24 74246 Io 25754 82I61 i5 17839 07914 5 92086 27 34 31 28 28 32 74265 II 25735 82188 i6 1782z 07923 5 92077 26 35 7 31 2o 4 28 4o 9.74284 11 10o.25716 9.82215 i6 IO.17785 10.07931 5 9.92069 25 36 31 12 28 48 74303 II 25697 82243,6 17757 07940 5 92060 24 37 31 4 28 56 74322 12 25678 82270 17 17730 07948 5 92052 23. 38 3o 56 29 4 74341i 2 25659 82298 17 17702 07956 5 92044 22 39 30 48 29 12 74360 12 25640 82325 i8 17675 07965 5 92035 21 4o 7 3o 40 4 29 20 9.74379I3 10.25621 9.82352 i8 IO. 7648 10.079736.92027 20 20 9 ~ ~ ~ ~ ~ ~~.74794 0o~7973 69.22T2 41 30 32 29 28 74398 13 25602 82380 19 17620 07982 6 92018 19 42 30 24 29 36 74417 13 25583 82407 19 17593 07990 6 920oio I8 43 30 16 29 44 74436 i4 25564 82435 20 17565 07998 6 92002 17 44 30 8 29 52 74455 i4 25545 82462 20 17538 08007 6 91993,6 i7 30 4 3o 0 9.74474 I4 10.25526 9.82489 21 10.17511 62 0805 6 9.91985 S 46 29 52 30 8 74493 15 25507 82517 21. 17483 08024 6 91976 i4 47 29 44 30 i6 74512 i5 25488 82544 22 17456 08032 7 91968 13 48 29 36 30 24 74531 i5 25469 82571 22 17429 0804, 7 91959.1I2 49 29 28 30 32 74549 i6 25451 82599 22 17401 08049 7 _ 9951 II 50 7 29 20 4 30o 40 9.74568 I6 1i0.25432 9.82626 23 o10.17374 io.o8o58 7 991I942 -10 51 29 12 30 48 74587,6 25413 82653 23 17347 08066 7 9.r934 9. 52 29 4 30 56 74606 I7 25394 82681 24 17319 08075 7 9,1925 8 53 28 56 31 4 74625 17 25375 82708 24 17292 o8o83 7 9,191I7 7 54 28 48 31 12 74644 17 25356 82735 25 17265 08092 8 9i1908 6 55 7 28 40o 4 31 20 9.74662 17 o0.25338 9.82762 2510O.17238 io.o8ioo8 9.91900 5 56 28 32 31 28 74681 i8 25319 82790 26 17210 08109 91891 4 57 28 24 3i 36 74700 i8 253o00 82817 26 17183 08117 9r883 3 58 28 i6 31 44 74719 i8 25281 82844 27 17156 o826 8 91874 2 59 28 8 31 52 74737 19 25263 82871 27 17129 08i34 8 91866 I 6o 28 0o 32 0 74756 19 25244 82899 27 17101 08I4 8 91857 0 M HourP.M.IHourA.M. Cosine, Diff, Secant. Cotangent Diff. TangentI Gosecant.lDiff. Sine... 1230 A A B B G C 56 Seconds of time...... 3 4' -5 7A 2 5 i 117 10 12 14 117I: Prop. parts of cols. B I 3 7 I 7 24 -1 4 7 TABLE XXVII [Page 219 ~St~. ~log. Sines, Tangents, and Secants. Gr. 340 A A B B C C 1450 M lour A.M. Hour P.M. Sine. Diff.Cosecant. Tangent. Diff. Cotangent Secant. Diff. Cosine M O 728 4 32 0 9.74756010io.25244 9.82899 0 10-io.17101 io.o8i43 9.9857 6o I 27 52 32 8 74775 o 25225 82926 o I7074 O815I O 9184959 2 27 44 32 i6 74794 I 25206 82953 I 17047 o8i6o o 91840 58 3 27 36 32 24 74812 1 25188 82980 I 17020 o8i68! o 91832 57 4 27 28 32 32 74831 25169 83oo8i 2 16992 o8177 I 91823 56 5 7 27 20 4 33 40 9.7485 2 0.2550 9.83035 2 i0.16965 io.o8i85 I 9.91S-' 55 6 27 12 32 48 74868 2 25132 83062 3 16938 08194 I 91806 54 7 27 4 32 56 74887 2 25113 830891 3 i69I 08202 I 91798 53 8 26 56 33 4 74906 2 25094 83117 4 i6883 08211 I 91789 52 o.92 3 95076 83 4 26 48 33 12 749241 3 25076 83144 4 i6856 08219 I 9178I 5i 10 7 26 4o 4 33 20 9.74943. 3 Io 250S7 9.83i71 5 Io.i6829 Io.08228 9.-91772 5o II 26 32 33 28 74961 3 25039 83198 5 16802 08237 2 91763 49 12 26 24 33 36 74980 4 25020 83225 5 16775 08245 2 91755 48 13 26 I,6 33 44 74999 4 25oo00 83252 6 16748 08254 2 91746 47 14 26 8 33 52 75oI017 4 24983 8328o 6 16720 08262 2 91738 46 7 26 0o 4 34 0 9.7503 5 o10.24964 9.83307 7 io.16693 o10.08271 2 9.972945 i6 25 52 34 8 75054 5 24946 83334 7 i6666 08280 2 91720 44 17 25 44 34 i6 75073 5 24927 8336i 8 16639 08288 2 91712 43 i8 25 36 34 24 75091 6 24909 83388 8 16612 08297 3 91703142 19 25 28 34 32 7511o 6 24890 834i5 9 i6585 o83o5 3 91695 41 20 7 25 20 4 34 Lo 9.751286 10'24872 9.83442 9 o.i6558 io.o83i4 3 9.9i686 40 21 25 12 34 48 75147 6 24853 83470 9 i6530 08323 3 91677 39 22 25 4 34 56 75165 7 24835 83497 0o i65o3 o833i 3 91669 38 23 24 56 35 4 75184 7 24816 83524 10o 6476 08340 3 91660 37 24 24 48 35 12 75202 7 24798 8355i Ii 16449 08349 3 91651 36 25 7 24 4 4 35 20 9.75221 8 -10.24779 9.835781 1 0o.16422 10.083 57 4 9.9-643 35 26 24 32 35 28 75239 8 24761 83605 12 16395 08366 4 91634 34 27 24 24 35 36 75258 8 24742 83632 12 i6368 08375 4 91625 33 28 24 i6 35 44 75276 9 24724 83659 i3 i634i 08383 4 91617 32 29 24 8 35 52 75294 9 24706 83686 13 I6314 08392 4 91608 31 3 7 24 0- 4 36 0 9.75313 9 10.24687 9.83713 i4 10.16287 io.o84oi 4 9.9i599 30 3i 23 52 36 8 75331 9 24669 83740 14 16260 08409 4 91591 29 32 23 44 36 16 75350 1o 24650 83768 I4 16232 0o84i8 5 91582 28 33 23 36 36 24 75368 io 24632 83795 i5 I6205 08427 5 91573 27 34 23 28 36 32 75386 0o 24614 83822 5 16178 08435 5 91565 26'775386 i o o 83826 io i.78 ~ j-57 23 20 4 36 4o0 975405 11 10.24595 9.83849 i6 io.i6i5i Io.o8444 5 9.9I:t 25 36 23 12 36 48 75423 II 24577 83876 16 16124 08453 5 91547 24 37 23 4 36 56 75441 I, 24559 83903 17 16097 08462 5 91538 23 38 22 5 37 4 75459 12 24541 83930 17 16070 08470 5 91530 122 39 22 48 37 12 75478 12. 24522 83957 i8 16o43 08479 6 91521 21 40 7 22 4 4 37 20 9.754961210.24504 9.83984 i8 io.i6oi6 io.o8488 6 9.91512 20 41 22 32 37 28 75514 13 24486 84o01 18 15989 08496 6 91504 19 42 22 24 37 36 75533 13 24467 84o38 19 15962 o85o 6 91495 i8 43 22 i6 37 44 75551 13 24449 84065 19 15935 o85i4 6 91486 17 44 22 8 37 52 75569 13 24431 84092 20 1590go8 08523 6 91477 i6 45 7 2 0o 4 38 0 9.75587 4 10.24413 9.84il920 io.i588i io.o853i 7 9.91469 46 2i 52 38 8 75605 i4 24395 84,46 21 i15854 08540 7 91460 o4 47 21 44 38 i6 75624 14 24376 84173 21 15827 08549 7 91451 13 48 21 36 38 24 75642 15 24358 84200 22 i158oo 08558 7 91442 12 49 21 28 38 32 75660 i5 24340 84227 22 15773 08567 7 91433 II 50 7 21 20o 4 38 4o 975678 i5 10.24322I 9.84254-23 io.i57461 o.o 8575 7 9'91425 Io 51 21 12 38 48 75696 26 24304 84280 23 15720 08584 7 91416 9 52 21 4 38 56 75714 i6 24286 84307 23 15693 08593 8 91407 8 53 9. 56 39 4 75733 i6 24267 843341 24 x5666 08602 8 91398 7 54 20 48 39 12 75751 17 24249 8436i 24 15639 o86ii 81i 9389 6 55 7 20 4 439 20 9.75769 17 10.2423i 9.84388 2 io.15612. 1o.o8619 8 9.9i38i 5 56 2( 32 39 28 75787 17! 242T3 844i5 25 i5585 08628 8 91372 4 57 20 24 39 36 758o5 17 24195 84442 26 i5558 08637 8 91363 3 58 20 16 39 44 75823 18 24177 8446 26 1553i 08646 8 9I354 2 59 20 8 39 52 758411 i8 24159 84496 27 155o4 o8655 9 934S I 60o 20 oi 40 0 75o 59 i8 2414 84523 27 I5477 08664 9 91336 o M HourP.M.jHourA.M. I Cos-pe. )iff. Secant. CotangentjDiff. Tangent. Cosecant. Dfff, Sine. M 0i4to A A B B C C 55' I Seconds oftime.... 1 2 3 4 5 6' 78 o si 2 5 7 9 II 14 i6 Prop. parts.3of 7 T 14 17 20 24 C I 2 3 4 5 7 8 S........ __ __ __ __ __.... __ __ __ __ __ __ Page 220] TABLE XXVII. S'. Log. Sines, Tangents, and Secants. Gf. 350 A A B B C C1440 MHour A.M. HourrP.M. Sine. Diff. Cosecant. Tangent.jDiff.Cotangent Secant. Diff. Cosine. M JoJ 7 ~ —7 —;1 4-qx-Tlg.~'ol~oscn. —i-I-.,lo-?;o.-"' Cosngen. IIMI 07 20 o4440 09.75859 010.24141 9.84523 0 10.15477 10.08664 o09.9336 6o I!19 52 40 8 75877 o0 24123 8455o o i545o 08672 0 9328159 2 1944 40 i6 75895 i 24o105 84576 1 1 5424 o868i 0 913i9 58 3 I936 40 24 75913 1 24087 846o3 i 15397 08690 0 91310 57 4 19 28 40 32 75931 I 24069 8463o 2 15370 08699 I 91301 56 5 719 20 4 4 4 9-75949 I o10.24051 9.84657210o.15343 1o.8708 I 9.91292 55 6 i9 12 40 48 75967 2 24033 84684 3 i53t6 08717 1 91283 54 I7 19 4 40 56 75985 2 24015 84711 3 15289 08726 i 91274/ 53 8 8 56 41 4 76003 2 23997 84738 4 15262 08734 I 91266152 9 18 48 41 12 76021 3 23979 84764 4 15236 08743 1 91257 Si io 7 i8 4o 4 4 20 9.7603 3 10.23961 9.84791 410.i5209 10.0875 229.91248 So 11 i8 32 4i 28 76057 3 23943 848i8 5 15182 08761 2 91239 49 12 18 24 41 36 76075 4 23925 84845 5 i5i55 08770 2 91230 48'3 i8 i6 4i 44 76093 4 23907 84872 6 15128 08779 2 91221 4i 4 i8 8 4i 52 76111 4 23889 84899 6 i5ioi 08788 2 9,212 46 /S 7 I8 0 4 42 0 9.7612 41-0.23871 9.84925 7io.i5O 5 10.0 o.87971 2 19.91203 45 t6 17 52 42 8 76146 5 23854 84952 7 i5o48 o88o6 2 91194 44 17 7 44 42 i6 7664 5 23836 8497 8 15021 o88i5 3 918543 i8 17 36 42 24 76182 5 23818 85OO 8'4994 08824 3 91176 42 19 17 28 42 32 76200 6 23800 85o33 8 14967 08833 3 91167 41,7~~~~~~~~~~1.38 3.8J 0_3800 20 7 17 204 4 4 0 49.3 7628 610.23782 9.8505 9 io.I494i 0.08842 3 99158 4 21 17 12 42 48 76236 6 23764 85o86 9 14914 o885i 3 91,49 39 22 17 42 56 76253 6 23747 85ii3 io 14887 08859 3 9II41 38 23 i6 56 43 4 7627, 7 23729 85,4o 0o i486o o8868 3 91132 37 24 i6 48 43 i2 76289 7 23711 85i66 ii i4834 08877 4 91123 36 25 7 i6 4o 443 20 9.76307 7 1o.23693 9.85193 Ii 0o.4807 io.o8886 4 9.91114 35 ~~~~~~ Ij 26 i6 32 43 28 76324 8 23676 85220 12 14780 08895 4 /iio5 34 27 i6 24 4336 76342 8 23658 85247 12 14753 089o4 4 91096 33 28 i6 i6 43 44 76360o 8 23640 85273 12 14727 o8913 4 91o87 32 29 I6 8 43 52 76378 9 23622 853oo i3 14700 o8)22 4 91078 31 30 7i 6 ob444 0 9.76395 91io.23605 9.85327 13 1 io. -4l673 10.0893 5'9-069 3o 3I 15 52 44 8 76413 9 23587 85354 14 14646 08940 5 9o106o 29 321 5 44 44 i6 76431 9 23569 8538o 14 1462o 08949 5 g9o5i 28 33 i5 36 44 24 76448 10 23552 854071 i5 14593 08958. 5 94227 34 z5 28 44 32 76466 1o 23534 85434 15 i4566 08967 5 J io33126 35 7 iS 20 444 40 9.7648491 10~.23516 9.85460o i6 io.i454010.08977 5 9.91023 25 36 15 12 44 48 765o01 ii 23499 85487 i6 i453 08986 5,9 o4 24 37~~~~~~~~~~85~ O,6/ 56463 5Joo5 23J 37 i5 4 44 56 76519J II 23481 85514 i6 4486 08995 6 9oo 23 38'4 56 45 4 765371 Ii 23463 8554o 17 i446o 090o64 6 90996 22 39 i4 48 45 12 76554 12. 23446 85567 17 14433 ogo,3 6 90987 21 40 714 40 4 45 20 9.76572 12 10.23428 9.85594 i8 l -o.i4406 I0.0902 6 9.097l8 20 41 14 32- 45 28 76590o 12 234o 85620 I8 i438o o9o31 6 90969 19 42'4 924 45 36 76607 "12 23393 85647 19 14353 090o4o 6 90960 i8 43 14,6 45 44 76625 i3 23375 85674 19 14326 0o9o49 6 90~o95 17 44'4 8 45 52 76642 -3 23358 85700 20 143oo 09058 7 90942 i6 45 7 14 446 09.76660 I3 10.23340 9.85727 20 10-.I4273 10.09067 7 9.90933 15 46 i3 52 46 8 76677 i4 23323 85754 2o 14246 09076 7 90924 14 47,3 44 46,6 76695 i4 23305 85780 21 1 4220 09085 7 90915 13 48 i3 36 46 24 76712 14 23288 85807 21 i4193 o09094 7 90906 12 49 i3 28 46 32 76730o 4 23270 85834 22 I4066 09104 7 90896 II 50 7 3 20 46 4 19.-76747 1 10o.23253 9.85860 22 lo.i4i4o o.o9i3 8 9lg.9887 10 51 i3 12 46 48 76765 i5 23235 85887 23 i4ii3 09122 8 90878 9 52 13 4 46 56 76782 iS 23218 85913 23 14087 og093 8 90869 8 53 12 56 47 4 768oo i6 23200 85940 24 i 4o6o 09,40 8 90860 7 54 12 48 47 I2 76817,6 23183 85967 24 i4o33 09149 8 9o851 6 55 7 12 -o4 44 20.-768351 i610.2365 9.85993 24 10-o.14007 o.og58 89.90-842 5 56 12 32 47 28 76852 17 23148 86620 25 13980 0o968 8 90832 4 57 12 24 47 36 76870 17 23130 86o46 25 13954 09177 9 90823 3 58 12 i6 47 44 76887 17 23i13 86073 26 3927 09186 9 908'4 2 59 128 47 52 769o4 17 23096 86ioo 26 i3oo 0995 9 90o805 I 6o 12 048 0 76922,81 23078 86126 27 I3t__4 09204 9 90796 0 H~;. Hour P.M. HourAM. Cosine. Diff.Secant. Cotangent-Diff. Tangent. Cosecant.Duff. Sine. A 195~ A A B B C 510 Seconds of time...... la 2' 3' 4 5' 6' 7' (A 2 4 719 Iii 13 i6 Prop. parts of cols. 3 7 i17 20 23 B 23 1 3 67 6 83 t,- ~ ~~~ JI Z J ~3 J s 6l 7 i_8. TABLE XXVII. [Page 2I S. Log. Sines, Tangents, and Secants. G. 36 A A B B C C 1430 M Hour A.M. Hour P.m. Sine. Diff. Cosecant. Tangent. Diff. Cotangent Secant. Diff. Cosine. M 0 7 12 0 4 48 0 9.76922-010.23078 9.86126, oo.1-3874j10.o0924 0 9-90796 6o Ir 5 48 8 76939 0 23061 86i53 13847 09213 0 90787 59 2 l 44 48 i6 76957 I 23043 86179 1 13821 09223 0 90777 58 3 iI 36 48 24 76974 1 23026 862o6 13794 09232 o0 90768 57 4 II 28 48 32 76991 23oo009 86232 2 13768 09241 1 90759 56 5 7 11 20 4 48 40 9.77009 I 10.22991 9.86259 2 Io.i374 10.09250 1 99l0o50 55 6 iI 12 48 48 77026 2 22974 86285 3 13715 09259 I 90741 54 7 II 4 48 56 77043 2 22957 86312 3 i3688 09269 I 90731 53 8 io 56 49 4 7706i 2 22939 86338 4 13662 09278 I 90722 52 9 1o 48 49'12 77078 3 22922 86365 4J 13635 09287 I 90o7315i 10 7 io 40 4 49 20 9.77095 3 0o.229o5 9.86392 4 io.i6o8 10.09296 2 9.90-704 o II Io 32 49 28 77112 3 22888 864i8 5 3582 09306 2 694 49 2 10 24 4936 7713o 3 22870 86445 5 i3555 0315 2 9o685 148 i3 io i6 49 44 77147 4 22853 86471 6 13529 09324 2 90676 47 14 io 8 49 52 77164 4 22836 86498 6 13502 09333 2 90667 46 T5 7 io 1 4 0 9.77181 4 10.22819 9.86524 io.i3476 1.9343 2 19.90657T45i i6 9 52 50 8 77199 5 22801o 8655I 7 13449 09352 2 90648 144 17 9 44 5o i6 772i6 5 22784 86577 7 13423 09361 3 90639 143 i8 9 36 50 24 77233 5 22767 866o3 8 13397 o9370o 3 90630 42-J I 9' 9 28 50 32 77250 5 22750 8663o 8 13370 09380o 3 90o620 4 20 7 9 20 4 50 4o 9.-772686 10.22732 9.86656 9 1io.13344 10.09389 3 9.90611 40 21 9'12 5o 48 77285 6 22715 86683 9 13317 09398 3 9o0602 39 22 9 4 50 56 77302 6 22698 86709 o 13291 0o9408. 3 90592 38 23 8 56 5, 4 77319 7 22681 86736 Io 3264 0o9417 4 90583137 24 8 48 Si 12 7733 7 22664 86762 1 i3238 09426 4 90574 36 25 7 8 4o 4 Si 20 9.77353 710.22647 9.86789 II 0.132II 10.09435 4 9.90565 35 26 8 32 51 28 77370o 7 22630 868i5 II i3i85 09445 4 90555134 27 8 24 51 36 77387 8 22613 868421 2 i3i58 09454 4 90546 33 28 8 i6 5i 44 77405 8 22595 86868 12 13132 09463 4 90537 132 29 8 8 Si 52 77422 8 22578 86894 13 i3io6 09473 5 90527 31 30 7 8 30 4 52 0 9.77439910.2256i 9.8692I 13 1o.3079 0.09482 5 9.90518 3o 31 7 52 52 8 77456 9 22544 86947 14 i3o53 09491 5 9o509 29 32 7 44 52 i6 77473 9 22527 86974 I4 13026 09501 5 90499 28 33 7 36 52 24 77490 9 225io 87000 i5 i3ooo 095o10 5 90490 27 34 7 28 52 32 77507 Io 22493 87027 i5 12973 09520 5 90480 26 35 7 7 20 4 52 4o0 9.77524 10 10.22476 9.87053 iS 10.12947 10.09529 5 9.90471 25 36 7 12 52 48 77541 o10 22459 87079 i6 12921 09538 6 90462 24 37 7 4 52 56 77558 11 22442 87106 i6 12894 09548 6 90452 23 38 6 56 53 4 77575 11 22425 87132 17 12868 09557 6 90443 122 39 6 48 53 12 775921 I 22408 87158 17 12842 09566 6 90434 21 40 7 6 4o 4 53 20 9.77609 11 10.2239! 9.8785 i8 o10.12815 IO09576 6 9.90424 20 41 6 32 53 28 77626 12 22374 87211 i8 I2789 09585 6 90415 I9 42 6 24 53 36 77643 I2 22357 87238 i8 I2762 09595 7 90405 i8 43 6 i6 53 L44 77660 12 22340 87264 19 12736 09604 7 90396 17 44 6 8 53 52 77677 13 22323 87290, 19 12710 o9614 7 90386 i6 45 7 6 o 04 54 0 9.77694 13 10.22306 9.8737 20 10.126831io.09623 7 9.90377 iS 46 5 52 54 8 77711 13 22289 87343 20 1I2657 09632 7 903681'4 47 5 44 54 i6 77728 i3 22272 87369 21 I2631. 09642 7 90358 13 48 5 36 54 24 77744 i4 22256 87396 2I 12604 09651 7 90349 12I 49 5 28 54 32 77761 I4 22239 87422 22 I2578 o,66I 8 90339 I 50 7 5 20 4 54 4 9.-77778 i4 10.22222 9.874481 22 1O.I2552 o10.0967 8 9.90330o 10 5i 5 i2 54 48 77795 is 22205 87475 22 I2525 09680 8 90320 9 52 5 4 54 56 77812 i5 22188 87501 23 12499 09689 8 j90311 8 53 4 56 55 4 77829 i5 22171 87527 23 12473 09699 8 9o30o 7 54 4 48 55 12 77846 i5 2254 87554 24 12446 097o8 8 90292 6 15 7 4 414 55 20 9-77862 i6 110.22138 9.87580o 24 IO.I2420 o0.09718 9 9.90282 5 56 432 55 28 77879 i6 22121 87606! 25 12394 097271 9 90273 4 57 4 24 55 36 77896 i6 22104 87633 25 12367 097371 9 90263 3 58 4 i6 55 44 77913 i6 22087 87659, 26 1234, 09746 9 90254 2 S9 4 8 55 52 77930 17 22070 876851 26 23S 097S6 9 90244 I 60 4 o 56 0 77946~ 17 220S4 877IIj 26 12289 09765 9 90235 0 M Hour.m.lIIourA.mI. Cosine. Diff. Secant. Cotangent Diff. Tangent. Cosecant.lDiff. Sine. M 726~ A A B B C C 53* Seconds of time...... 2 3 4 51 6 78 (A 2 4 6 9 II i3 iS Erop. parts ofcols. B 3 7 10 3 17 20 23 C I 2 4 5 6 I 7 8 Page 2221 TABLE XXVII. 131. W., Log. Sines, Tangents, and Secants. 370 A A B B C C 142c M Hour A.M. Hour P.M. Sine. Diff. Cosecant. Tangent. Diff. Cotangent Secant. Diff. Cosine. M o 7 4 o 4 56 o 9.7-7946l0o10 22054 9.877I11 0lo10.12289 10-09765 0 9.90235 6o 1 3 52 56 8 77963 0 22037 87738 0 12262 09775 0 90225 59 2 3 44 56 16 77980 I 22020 87764 I 12236 09784 o 90216 58 3 3 36 56 24 77997 I 22003 87790 r 22o10 09794 0 9o2o6 57 4 3 28 -56 32 780o3 I 21987 878171 2 12183 09803 i 90197 56 5 7 3 201 4 56 4o19.7803o I -o.2I970 9.87843 210.2157 o.983 I'9.90187 55 6 3 12 56 48 78047 2 21953 87869 3j 123I o9822 t 90178 54 7 3 4 56 56 78063 2 2937 878951 31 i2io5 09832 I go968 53 56 7 41780501 2- oi98zf 8 2 56 57 4 78080 2 21920 87922 3 I2078 0984 i 9o0159 52 9 48 57 12 78097 2 21go3 87948 4 12052 o0985 90oi49 5i 10 7 2 4o 4 57 20 9.78113 3 10.21887 9.87974 4 10.12026 10.0986i 2 9.90139 So If 2 32 57 28 78130 3 21870 88ooo 5 12000 09870 2 90130 49 12 2 24 57 36 78147 3 21853 88027 5 11973 09880 2 90120 48 i3 2 i6 57 44 78163 4 21837 88o53 6 11947 09889 2 90III 47 i4 2 8 57 52 78180 41 21820 88079 6 I192I 09899 2 90101 46 -S 7 2 l 4 58 0 9.78197 4 10.2i803 9.88105 7 io.ii895 1o.o ggog9 2 9.90091 45 i6 1 52 58 8 78213 4 21787 88i3: 7 II869 09918 3 goo82 44 17 44 58 i6 78230 5 21770 88o58 7 1842 099o28 3 90072 43 i8 1 36 58 24 78246 5 21754 88M84 8 ii86 09937 3 9goo63 42 19 I 28 58 32 78263 5 21737 88210 8 11790 09947 3 90053 141 20 7 1 20 4 58 4o 9.78280510.21720 9.88236 9o1011764 10.09957 3 9.90043140 21 I 12 58 48 78296 6 21704 88262 9 11738 09966 3 o90034 39 22 1 i 4 58 56 78313 6 21687 8828 10 11718 09976 4 90024 38 23 0 56 59 4 78329 6 21671 8831 io ii685 09986 4 900oo74 37 24 o 48 59 12 78346 7 21654 8834il 1o 659 09995 4 9000oo5 36 25 7 0 40 4 59 20 9.78362 7 10:2i638 9.88367 ii io.ii633 1io.0005 4 9.89995 35 26 0 32 59 28 7837 7 21621 88393 ii 11607 iooi5 4 89985 34 27 0 24 59 36 7839S 7 21605 88420 12 ii58o 10024 4 89976 33 28 0 i6 59 44 78412 8 217588 88446 1 171554 ioo34 5 89966 32 29 o 8 59 52 78428 8 2572 88472, 13 11528 I0044 5 89956 31 30 7 0 0 5 0 0 9.78445 8 10.21555 9.88498 13 0o.11502 10.10053 5 9.89947 3o 31 6 59 52 0 8 78461 9 26539 88524 14 11476 ioo63 5 89937 29 32 59 44 o i6 78478 9 21522 8855o 14 ii450 10073 5 89927 28 33 59 36 0 24 78494 9 21506 88577 i4 11423 00982 5 89918 27 34 59 28 0 32 785io 9 z21490 886o3 i5 I1397 10092 5 899o8 26 35 6 59 2 5 4o 9.78 527 o10 10.-21473 9.88629 15 -0l- Io.ii371. 6 9.89898 25 36 59 12 0 48 78543 1io 21457 88655 i6 ii345 10112 6 89888 24 37 59 4 0 56 785601 io 21440 8868i i6 131g 1021 6 89879 23 38 58 56 4 785 21424 88707 I7 11293 ioi3i 6 89869 22 39 58 48 5I 12 78592 II 21408 88733 17 I1267 ioi4i 6 89859 2I 4o 6 58 4o.5 I 20 9.78609 II 10.213gI 9.88759 17 10.II241 IO-ioi5i 6 9.89849 2o 41 58 32 1 28 78625 I1 2I375 88786 i8 I1214 ioi6o 7 89840 19 42 58 24 1 36 78642 12 21358 88812 i8 iii88 I0170 7 89830 i8 43 58 i6 1 44 78658 12 21342 88838 9g III62 ioi8o 7 89820 17 44 58 8 1 52 78674 12 21326 88864 19 iii36 10190 7 898IO i6 45 6 58 o 5 2 0 9.7869112 10.2i309 9.88890 20 10.11110 I 0.1019979.8980o 15 46 57 52 2 8 78707 13 21293 88916 20.o84 10209 7 89791 14 47 57 44 2 i6 78723 13 21277 88942 20 rioS8 10219 8 89781 13 48 57 36 2 24 78739 13 21261 88968 2 1io32 10229 8 89771 12 49 57 28 2 32 787561 i3 21244 88994 21 iioo6 10239 8 89761 ii So 6 57 20 5 2 4o 9.78772 14 10.2I228 9.89020 22 10.10980 10.10248 8 9.89752 10 51 57 12 2 48 78788 1i4 21212 89046 22 0954 10258 8 89742 9 52 57 4 2 56 78805. 14 21195 89073 23 10927 10268 8 89732 8 53 56 56 3 4 78821 iS 21179 89099 23 10901 10278 9 89722 7 54 56 48 3 12 78837 i5 21163 89125 24 I0875 10288 9 89712 6 55 6 56 4o 5 3 20 9.78853 I5 10.21147 9.89151 24 10.10849 10.10298 9 9.89702 5 56 56 32 3 28 78869 iS 21131 89177 24 10823 10307 9 89693 4 57 56 24 3 36 78886 i6 21114 89203 25 10797 10317 9 89683 3 2 x4 ol2 9l 8996713 S8 56 i6 3 44 78902 i6 21098 8922 2S 10771 10327 9 89673 2 S9 56 8 3 52 78918 i6 21082 89255 26 I0745 10337 10 89663 1 6o 56 o 4 0 789341 1 2io66 89281 26 10719 10347 io 89653 0 MM Hourpie.]Hour Aml. Cosine. 1Duff. Secant. CotangentDuiff. Tangent. Cosecant.,Diff. Sine. M 1270 A A B B C C Seconds of time...... 11, 2 3s 46 5 6j 7' 52 4 6 8 10 12 14 Prop. parts ofeols, 3 7 io 3 i6 20 23 C 5 6 7 8 TABLE XXVIL. Page 223 S'. Log. Sines, Tangents, and Secants p a~~~~~~~~~~~. 380 A A B B C C 1410 M HourA.m. Hour P.M. Sine. [Diff. Cosecant. Tangent. Duff.Cotangent Secant. Diff. Cosine. M o 656 0 5 4 09.78934 o o.2.066. 9.89281 0 10.10719 l347 o09.8965360 1 55 52 4 8 78950 2050 89307. o o693 10357 0 89643 59 2 55 44 4 i6 78967 1 20io33 89333 I io667 io0367 o 89633 58 3 55 36 4 24 78983 I 21017 89359 I 1o641 o376 89624 57 4 55 28 4 32 78999 I 2Iool 89385 2 o6i5 io386 I 89614 56 5 6 55 20 5 4 4o 9.79015 I io.20985 9.894ii 2 10.io589 10.i0396 I 9.89604 55 6 55 12 448 79031 2 2096I 89437 3 io563 o4o68 I 89594 54 7 55 4 4I 56 79047 2 20953 89463 3 io537 10416 89584 53 8 54 56 5 4 79063 2 20937 89489 3:o5ii 1o4o6 I 89574 52 54 48 512 7907I 2 20921 8951 4 3 485 10436 2 89564 15I jo6 54 4o 5 5 20 9.79095 3 o10.2095 9.89541 4 lo.io 459 Io.,o446 29.89554 So iI 54 32 5 28 79111 3, 20889 89567 5 10433 I0456 2 89544 49 12 54 24 5 36 79128 3 20872 89593 5 10407 1o466 2 89534 48.13 54 56 544 79144 3 20856 8961 6 io38i 10476 2 89524 47 a4 54 8 5 52 79160 4 20840 89645 6 io355 io486 2 89514 46 TS 6 54 0 S60 9.79176 4 I0.20824 9.89671 6 1o.i0329 1010496 3 9.89504 45.6 53 52 6 8 79192 4 20808 89697 7 io3o3 io5o5 3 89495 44 17 53 44 6i6 79208 5 20792 89723 7 10277 io5i5 3 89485 43 i8 53 36 6 24 79224 5 20776 89749 8 10251 10525 3 89475 42 19 53 28 6 32 79240 5 20760 89775 8 10225 io535 3 89465 41 20 6 53 20 5 6 419.79256 5 10.20744 9.89801 9 i0.i09gg io.ioS4 3 9.89455 40 21 53 12 6 48 79272 6 20728 89827 9 10173 io555 4 89445 39 22 53 4 6 56 79288 6 20712 89853 xo I0147 io565 4 89435 38 23 52 56 74 79304 6 20696 8987 10 1012 10o575 4 89425 37 24 52 48 12 79319 6 20681 8990 Io 10095 io58 4 89415 36 25 6 52 4o 5 7 20 9.79335 710.20665 9.89931 II io.0oo69 10.io595 4.894o5 35 26 52 32 7 28 79351 7 20649 89957 II 10043 io6o5 4 9395 34 27 52 24 7 36 79367 7 20633 89983 12 I0017 1o6i5 5 89385 33 28 52 i6 7 44 79383 7 20617 90009 12 09991 10625 5 89375 32 29 52 8, 7 52 79399 8 20601 90035 i3 09965 Io636 5 89364 3i 30 6 52 o 5 8 09.7945 8 IO.20585 9.9oo61 13 100o9939 o.o646 5 9.89354 3C 3i 5i 52 88 79431 8 20569 90086 i3 09914 10656 S 89344 29 32 5i 44 8 6 79447 8 20553 90112 [4 09888 ao666 5 89334 2 33 Si 36 8 24 79463 9 20537 90138 14 09862 10676 6 89324 27 34 Si 28 8 32 79478 9 20522 90164 iS 09836 io686 6 89314 26 35 -6 S- - 5 8 40 9.79494 9 10.20506 9.9oig0 i 10.0980io O.I0696 6 9.89304 25 36 51 I2 8 48 7951010 20490 90216 a6 09784 10706 6 89294 24 37 51 4 8 56 7952 Io 20474 90242 I6 09758 10716 6 89284 23 38 o 56 4 79542 Io1 20458 90268 i6 09732 10726 6 89274 22 39 50 48 9 12 79558 Io 20442 90294 17 0976 10736 7 89264 21 4o 50o 40 5 9 20 9.79573 111 0.20427 9.90320 17 10.09680 10.10746 7 9.89254 20 4 5o 32 9 28 79589 II 20411 90346 i8 09654 I0756 7 89244 19 42 50 24 9 36 79605'20395 90371 i8 09629 10767 7 89233 i8 43 5o i6 9 44 79621 Ii 20379 9039719 09603 10777 7 89223 17 44 So 8 9 52 79636 12 20364 90423 19 09577 10787 7 89213 i6 45l65 1'-'6' 89.890 5 45 6 o0 5 io 019.79652 12 10.20o 48 9.90449 0o.955i 10.107 8 9.89203 46 49 52 10 8 79668 I2 20332 90475 20 09525 io807 8 89193 14 47 49 44 Io 16 79684 12 20316 go501 20 09499 1o817 8 89183 13 48 49 36 10 24 79699 13 20301 90527 21 09473 10827 8 89173 12 49 49 28 Io 32 79715 i3 20285 90553 21 09447 io838 8 89162 1i 6 49 20 5 o 4 19.79735 3 10.202o69 9.90578 22 lr.09422 1o.Io84 88.89152 10 5i 49 12 Io 48 79746 4 20254 90604 22 09396 io858 9 89142 9 52 49 4 10 56 79762 14 20238 90630 22 09370 io868 9 89132 8 53 48 56 4 79778 4 20222 90656 23 09344 10878 9 89122 7 54 48 48 II 12 79793 14 20207 9o682 23 09318 io888 9 89ii2 6 55 648 4o 5 I 20 9.79809 iS 10.20I91 9.9070824 10.09292 10.I0899 9 9.8gIo9 5 56 48 32 II 28 7982 5 20175 90734 24 09266 1ogog 9 89091 4 79825 ~ ~~~ ~ 6 7 90734 24 57 48 24 ii 36 79840 i5 2o6o 9075 25 o0924 10919 l1 890.8 3 58 48 i6 it 44 79856 iS 20,44 90785 25 09215 io929 Io 89071 2 59 48 8 ii 52 79872 6 20128 90811 26 09189 10940 Io 89060 1 6o 48 0 12 0 79887 i6 20II3 o90837 26 00163 0og5 Io0 89050 M HourPA._HourA.M.jCosine. Dff. Secant. Cotangent5Diff. Tangent. Cosecant.8Diff. Sine. M 1280 A A B B C C 51 Seconds of time o..6. 1' l 2 8 3' 4o9 5 o 66 7' 3I at:fco!A 2 4 6 8 10 12 14 Pro part of 3 6 Io 13 i6 19 23!33lia5.6C I 3 4 5 6 89 Page 224] TABLE XXVII. St. Log. Sines, Tangents, and Secants. G. 390 A A B B C C 140 I Hour A.l.lHour,.m. Sine. Diff. Cosecant. Tangent. MDill. Cotangent Secant. Diff.l Cosine. M o1 6 48 o 5 12 09.79887 0 10.20113 9.90837 0 10.09163 Io.o95o 09.89050 6o 47 52 12 8 79903 0 o 0097 90863 0 09137 I0960 0 89o40 59 47 44 12 I6 79918 20082 o90889 I 09111 70 0 8o3o 58 3 47 36l 224 79934J' 2oo66 90914 1 09o86 098o0 1 89o2o 57 47 28 12 2 79950 20050 9094o0 2 090o60 o99, I 8goog 56 5 6 4720 5 12 4o 9.79965 I10.2oo35 9.90966 2 10.09034 Io.00oo1 I 9.88999 55 6 47 12 12 48 79981 2 oo20019 90992 3 o9oo8 IIoII - 88989 54 7 4 4 12 56 79996 2 20004 91018 3 08982 11022 I 88978 53 8 46 56 13 4 80012 2 1 I9988 91043 3 08957 o1032 1 88968 52 46 48 13 2 80027 2 19973 9gio69 4 08931 1Io42 2 88958 i'o 6 46 4o 5 13 2o 9.80043 3 10o.19957 9.91095 4 1o.o8905 I.Io52 2-.88948 1o II 46 32 3 28 8oo58 3 19942 91121 5 08879 iio63 2 88937 49 12 4624,3 36 80074 3 19926 9II47 5 o8853 11073 2 88927 48 13 46 i6 13 44 8oo8 3 19911 9172 6 08828 i9o83 2 88917 47 14 46 8 i3 352 8oo5 4 9895 91986 08802 11094 2 88906 46 5 6 46 0 5'4 0 9.80120 4io0.19880 9.91224 6 10.08776 Io.11o04 3 9.88896 45 i6 45 52'4 8 8oi36 4 19864 91250 7 08750 11114 3 88886 44'17 45 44'4 16 8oi5, 4 19849 91276 7 08724 1125 3 88875 43 18 45 36 4 24 8oi66 5 19834 91301o 8 08699 i135 3 88865 42 19 45 28 14 32 80o82 5 19818 91327 8 08673 III45 3 88855 41 20 6 45 20 5'4 4o 9.80197 5 1io.1803 9.91353 9 io.o8647 Io.i1, 56 39.88844 40 21 45 12 448 80213 5 19787 91379 9 08621 ml66 4 88834 39 22 45 4 14 56 80228 6 19772 9404 9 08596 11176i 4 88824 38 23 4456 i5 4 8o244 6 19756 91430o' 08570 11187 4 888i337 24 44 48 iS 12 80259 6 19741 914561 Io o8544 11197 4 888o3 36 25 6 44 4o 5 iS 20 9.80274 6 10.1972 6 9.9148:2 ii io.o85i8 1IO.1207 4 9.88793 35 26 44 32 I5 28 80290 7 197o10 91507 II 08493 ii218 5 88782 34 27 44 24 i5 36 8o3o5 7 19695 91533 12 08467 11228 5 88772 33 It 0844I,o39 5J 8876, J3J 28 44 i6 IS 44 80320 7 19680 9i55 12 o844, 11239 5 88761 32 29 44 8 15 52 8o336 7 19664 9'58 12 o84,5 11249 5 88751 31 30 6 44 0 5 I6 0 9.80351 8 0o.i9649 9.91610 13 io.o839o 10,11259 5 9.88741 3o 3i. 43 52 6 8 8o366 8 19634 91636 13 o8364 11270 5 88730 29 32 43 44 i6 i6 80382 8 19618 91662'4 o8338 11280 6 88720 28 33 43 36 i6 24 80397 8 19603 91688 14 08312 II291 6 88709 27 34 43 28 16 321,80412 9 19588 9171315 0821 ii3oi 6 88699 26 35 6 ~ 43 205 i6 40o9.80428 9 10.19572 9.91739 iS 1io.8261 io.i13I2 6 9.88688 25 36 43 2 i2 6 48 8o443 9 19557 91765 i5 08235 1322 6 88678 24 37 43 4 i6 56 8o458 9 i9542 91791'6 08209 11332 6 88668 23 38 42 56 17 4 80473 o0 19527 91816 i6 o8i84 ii 343 7 88657 22 39 42 48 17 12 80489 Io 195J11 91842 17 o8i58 11353 7 88647 21 40 6 42 41 5 17 20 9.80504 io 10.19496 9.91868 17 0.0o8132 lo.ii364 7 9.88636 20 41 42 32 17 28 8059 1 Io 19481 91893 i8 o8o7 11 374 7 88626'9 42 42 24 17 36 80534 I 19466 9191 i8 08081 ii385 7 8865 i8 43 42 i6 17 44 8o55o ii 19450 91945 i8 o8o55 11395 7 886o5 17 44 42 8 17 52 805651 iI 19435 9197119 08029 11406 8 88594 i6 45 16C 42 0 5 i8 09.8o58o 12 1O.I9420 9.9i996 19 io.o8004 io.ii4i6 8 9.88584 iS 46 41 52 i8 8 80595 12 19405 92022 20 07978 11427 8 88573 14 47 41 44 i8 i6 8o6io 12 9390 92048 20 07952 11437 8 88563 13 48 41 36 i8 24 80625 12 19375 92073 21 07927 ii448 8 88552 12 49 4128 18 32 8o64 i3 19359 9209921 07901 11458 9 88542 II 64 2 5 I 4 9.8065613.344 9.92'25 21 10.07875 0.~"4699 o.8853iT SI 41 2i 8 48 80o67 13 19329 9250o 22 07850 ii479 9 88521 9 52 41 4 18 56 8o686 13 93,14 92176 22 07824 Ii49 885io 8 53 40 56 9 4 80701 14 19299 92202 23 07798 II5o1 9 88499 7 54 4o 48 19 12 80761 4 19284 92227 23 07773 lii 9 88489 6 55 6 4o 40 5 19 20 9.8073i1410.19269 992253 24 10o.07747 io.ii522 1 9.88478 5 56 4o 32 19 28 80746,4 19254 92279 24 07721 II532 IO 88468 4 57 40 24 i, 36 80762 15 I9238 92304 24 07696 ii543 Io 88457 3 58 4o 16 19 44 80777 i5 19223 92330 25 07670 ii553'o 88447 2 59 40 8 9 52 80792 iS 19208 92356 25 07644 ii564 io 88436 I 6o 4o o 20 o 80807 i5 19193 92381 26 07619 11575 10 88425 0 I our P.M.HourA.M Cosine. Diff. Secant. CotangentiDiff. Tangent. Cosecant. Diff. Sine. M 129' A A B B C C 50M Seconds of times. 1 2' 38 45 5' 6' 7' A 2 4 6- 8 10oF 12 i-37 Prop. parts of cols. B 3 6 o 3 36 19 23 C I 13 4 5 17 8 9 TABLE XXVII. [Page 425 S,~. Log. Sines, Tangents and Secants. G I~~~~~~~~~~~ 400 A A B B C C 1390 MHourA.M.Hour.r[i. Sine. Diff.Cosecant. Tangent. Diff gent Secant. i. Cosine t Difi~tanen ______ ___-__ 6 40 o5 2o o!9.80807 0lo.19o 93 9.9238 I o0 o.0.76 1 I. 5 75 0.88425 oc9 1 39 52 20 8 80822j0 19178 92407 0 07593- i585 o 8841I5 59 2 3944 20 i6 80837 0 9163 92433 1 07567 11596 o 884o4 58 3 39 36 20 24 80852 I 19148 92458 07542 ii6o6 881394 5 4 3c9 28 20 32 80867 I 19133 92484 2 07516 1617 1 88383 56 5 6 39 2015 20 4o 9.80882 IO.19J 18.925 2.07490.628 9.88372 55 6 39 12 20 48 8o89 1 1903 92535 3 07465 ii638 88362 54 7 39 4 20 56 809122 1go88 92561 3 07439 1o649 8835i 53 8 38 561 21 4 80927, 2 19073 92587 3 07413 ii66o 8834o 52 9 38 48 21 12 80942 2 19o58 92612 4 07388 11670 2 8833o Si io 6 38 4o 5 21 20 9.80957 2 10.1go43 9.92638 4 10.07362 T0.1168 i129.883i9 So ii 38 32 2 128 80972 3 19o28 92663 5 07337 11692 2 883o8 49 12 38 24 21 36 80987 3 19013 92689 5 07311 11702 2 88298 48 5 7r I0 89284J'3 38 i6 21 44 81002 3 18998 9271 6 07285 71713 2 88287 47 14 38 8 21 52 810173 18983 92740 6 07260 II724 3 88276 46 iS 6 38 0 5 22 0 9.8io32 410.I8968 9.92766Y 60O07234 10.11734 3 9.88266 45 i6 37 52 22 8 81047 4 18953 92792 7 07208 11745 3 88255 44 17 37 44 22 16 81o6i 4 18939 92817 7 07183 11756 3 88244 43 i8 37 36 22 24 81076 4 18924 92843 8 07157 11766 3 88234 42 19 37 28 22 32 81og 5 18909 92868 8 07132 11777 3 88223 41 20 6 37 20 5 22 4009.81106 5 IOI894 9.92894 9 10.07106 10o.i788 4 9.88212 40 21 37 12 22 48 81121 5 18879 92920 9 07080 II799 4 882Ci 39 22 37 4 22 56 8i36 5 i8864 92945 9 07055,1180 4 88i.o 38 23 36 56 23 4 8i5 6 18849 92971 10 07029 182o 4 88i8o 37 24 36 48 23 12 8ii6 6 i8834 92996 10 07004 11831 4 88169 36 25 6 36 4o 5 23 20 9.8 8-o 6 10.18820 9.93022 11 0o.o6978 0. 118 42 4 9.88158 35 26 36 32 23 28 8ii95 6 88o5 93048 11 06952 II852 5 88148 3 27 36 24 23 36 81210 7 18790 93073 12. 06927 ji863 5 88137 33 28 36 i6 23 44 81225 7 18775 93099 12 o691 11874 5 88126 32 29 36 8 23 52 81240 7 18760 931244 12 ('6876 ri885 5 881iS 3i 3o 636 0o5 24 o 9.81254 7 1010 8746 9.9350o1 3 ro.o685o 1o.i1895 5 9.88io5 3o 3i 35 52 24 8 81269 8 18731 93175 13 o6825 11906 6 88094 29 32 35 44 24 j6 81284 8 18716 93201 14 06799 11917 6 88o83 28 33 35 36 24 24 81299 8 8701 93227 14 06773 11928 6 88072 127 34 35 28 24 32 81314 8 i8686 93252 4/ 06748 I1939 6 88o6i 26 35 6 35 20 5 24 4o 9.81328910.18672 9.93278 tS 1o.o6722 0o.11949 6 9.88051 25 36 35 2 24 48 8343 8657 93303 I5 o6697 11960 6 88o4o 24 37 35 4 24 56 8i358 9 18642 93329 i6 06671 11971 7 88029 23 38 34 56 25 4 8372 9 18628 93354 i6 o6646 11982 7 88oi8 22 39 34 48 2512 81387 1(o 586i31 93381 17 06620 1993 7 88007o21 4o 6 34 4 5 - 25 2o 9.8o/1402- 1'0.1859S' 993406 1. J- o.o6594 10.12004 7 9o87996 20 40634 ~ ~ ~ 7 40,-22o.,-4-o,-2 1 1.189.3o6~ ~ 1 38 332 25 28 81417 1 i8583 93431 17 06569 12015 7 87985 19 42 34 24 25 36 8r43oi 18569 93457 18 o6543 12025 8 87975 8 I3 34 i6 25 44 81446 11 i8554 934821 i8 o65i8 12036 8 87964 17 44 34 8 25 52 8r46i i 18539 93508 19 06492 12047 8 87953 i6 456634 0l 5 6 -o 9.884 7 i I Io. i8 52 59.93533 ig io.o6467 I0.12o58 8 9.87942 i5 46 33 52 26 8 81490 i85io 93559 20 o644i I2069 8 87938 i4 47 33 44 26 i6 8Mo65 12 8495 93584 20 o64/i6 Iz280 8 88720 13 48 33 36 26 24 8o519 12 i848j 93610 20 06390 12091 9 87909 12 49 33 2 s8 26 32 8o534:2'8466 93636 21 o6364 12102 9 87898 s So 6 33 20 5 26 4o 9.81549 -i2 1.18451 9.93661 21 10.06339 10o.i213 99.87887 Jo 51 33 12 26 48 8S63 13 18437 93687 22 o63i3 12123 9 87877 9 52 33 4 26 56 81578 13 18422 93712 22 06288 I2134 9 87866 8 53 32 56 27 4 81592 13 18408 93738 23 0o6262 12145 10 87855 7 54 32 48 27 12 81607 13 18393 93763 231 06237 12o56 130 87844 6 55 6 32 40 5 27 20 9.81622 14 io.i8378 9.93789 23110.06211 10.12i67 10 9.87833 5 56 32 32 27 28 8M636 4'8364 9384o 24 o6986 12178 Io 87822 4 57 32 24 27 36 8i65i 84 18349 93840 24 o6i6o 1289/ Io 87811 3 58 32 i6 27 44 8665 14 i8335 93865 25 o6i35 12200 10 87800 2 59 32 8 27 52 8i68o i 18320 93891 25 06109 12211 II 87789 1 6o 320 28 0 81694 8 683o6 93916 26 06o84 12222 II 87778 o M Hour P.11. HourA.,i. Cosine. Diffif Secant. Cotangent Diff.1 Tangent. Cosecant. DAff. Sine. M1P 1300 A A B B C C 49c Seconds of time...... 2 3' 48 5s 6' 7 3,~ 2 5, 4 6 7 9 3, i3 Prop, parts of cols. B 3 6 10 1 6 19 22 C3 I 3 A 5 7 8 9 I 8~ Page 92G ~a~g~rel 221TABLE XXVWI. $"'. ~ fLog. Sines, Tangents, and Secants. G 41~ A A B B C C 1380 M Hour A.M.1 Hourr.M. Sine. Diff. Cosecant. Tangent. Diff. Cotangent Secant. Diff' Cosine. M o 6 32 o 5 28 o 9.8i694 o Ic.i83o6 9.93916 o io.06084 1o.12222 0 9.87778 6o I 3i 52 28 8 81709 0 1829I 93942 o06058 I2233 o 87767 59 2 31 44 28 i6 81723 0 18277 93967 I 06033 12244 o 87756 58 3 31 36 28 24 81738 I 18262 93993 1 06007 I2255 i 87745 57 4 3i 28 28 32 81752 1 18248 9401i8 2 05982 12266 I 87734 6 5 6 3 20o 5 28 40 9.81767 1i.1i8233 9.94044 2 1.05956 10.1227.87723 55 1~ ~ ~ ~~9 o o 9 5:.9.771.87 6 31 I2 28 48 81781I I 18219 94069 3 05931i 12288 I 87712 54 7 3I 4 28 56 81796: 2 18204 94095 3 05905 12299 I1 87701 53 8 3o 56: 29 4 8i8io' 2 I8g190 94120 3 o588o 1231 i 8769 52 9 30 48 29 12 81825 2 18175 9446 4 05854 12321 2 87679 Si 10 6 3o 4o 5 29 20 9.81839 2 IO.i8i6i 9.94171 4 io.o5829 10.12332'2 9.87668 So Tl 30 32 29 28 8i854 3 i8i46 94197 5 05803 12343 2 87657 49 12 30 24 29 36 81868 3 18132 94222 5 05778 I2354 2 87646 48 i3 30 i6 29 44 81882 3 i8ii8 94248 6 05752 12365 2 87635 47 14 30 8 29 52 81897 3 i8io3 94273 6 05727 I2376 3 87624 46 TS 6 30 0 5 30 o 9.8ig91i 4o.i88 9.94299 6.570.12387 398763 45 1 6~ ~ ~ ~ ~~~~~~~~~~'33~~q9.98 -— ~i~o70 i6 29 52 3o 8 81926 4 18074 94324 7- 05676 12399 3 87601 44 17 29 44 30 i6 81940o 4 i8o6o 94350 7 05650 1240o 3 87590 43 i8 29 36 30 24 81955 4 i8o45 94375 8 05625 12421 3 87579 42 ig 29 28 3032 81969 5 i8o3i 9440o 8 05599 I2432 4 87568 41 2o 6 29 20 5 3o 4o 9.81983 5 IO.I80I79.94426 8 1o.o5574 i0.124434-9-87557 4021 29 12 3o 48 81998 5 80oo2 94452 9 05548 12454 4 87546 39 22 29 4 30o 56 820o2 5 17988 94477 9 o5523 I2465 4 87535 38 23 28 56 31 4 82026 5 17974 94503 o10 05497 12476 4 87524 37 24 28 48 3i12 82041 6 17959 94528 IO 05472 12487 4 87513 36 25 6 28 40o 5 31 20 9.82055 6 IO.I 7945 9.94554 11 io.o5446 IO.I2499 5 19.87501 35 26 28 32 31 28 82069 6 17931 94579 It 05421 12510 5 87490 34 27 28 24 31 36 82084 6 I7916 94604 I 05396 12521 5 87479 33 28 28 i6 31 44 82098 7 17902 94630 12 05370 12532 5 87468 32 29 28 8 31 52 82112 7 17888 94655 12 05345 12543 5 87457 3i 30 628 0o 532 0o 9.82126 7 io0.17874 9.9468 131 io.o5319 I.i2554 69.87446 3o 3x 27 52 32 8 82141 7 I7859 94706 13 05294 I2566 6 87434 29 32 27 44 32 i6 82155 8 17845 94732 14 05268 12577 6 87423 28 33 27 36 32 24 82169 8 17831 94757 14 05243 12588 6 87412 27 34 27 28 3232 82184 8 17816 94783 14 05217 12599 6 87401 26 35 6 27 20 5 32 40 9.8298 8 10.17802 9.94808 15 i0.o5i92 10.12610 79.87390 25 36 27 12 3248 82212 9 17788 94834 15 o5i66 12622 7 87378 24 37 27 4 32 56 82226 9 17774 94859 i6 o5I41 12633 7 87367 23 38 26 56 33 4 82240 9 1776o 94884 i6 o5ii6 12644 7 87356 22 39 26 48 33 12 82255 9 17745 94910 17 05090 12655 7 87345 21 40 6 26 4o 5 33 20 9.82269 o 10o.17731 9.94935 17 io.o5o65 IO.12666 79.87334 20 41 26 32 33 28 82283 Io I7717 9496I 17 05039 12678 8 87322 19 42 26 24 33 36 82297 10 17703 94986 i8 o5ot4 12689 8 87311 i8 43 26 16 33 44 823ii IO 17689 950o2 i8 04988 127oo00 8 87300 17 44 26 8 33 52 82326 IO 17674 95037 19 04963 I2712 8 87288 i6 45 6 26 o 5 34 o 9.82340 II 0o.1766o 9.95062 19 o0.04938 IO.I27238 9.87277 iS 46 25 52 34 8 82354 II 17646 95088 20 04912 12734 9 87266 14 47 25 44 34 i6 82368 II 17632 951I3 20 04887 I2745 9 87255 13 48 25 36 34 24 82382 II 17618 95139 20 o486i 12757 9 87243 12 49 25 28 34 32 82396 12 17604 95164 21 04836 12768 9 87232 II 5o -a25 20 5 344o 9.8241o 12 o10.759o 9.9590o 21.io.o48io IO.12779 9.9.87221 10 5i 25 12 34 48 82424 12 17576 95215 22 04785 12791 o10 87209 9 52 25 4 34 56 82439 12 17561 95240 22 04760 12802 io 8798 8 53 24 56 35 4 82453 i3 17547 95266 22 04734 1283 io 87187 7 54 24 48 35 12 82467 13 17533 95291 23 04709 12825 IO 87175 6 55 6 24 4o 5 35 20 9.82481 3 310o.17519 9.95317 2310io.o4683 10.12836109.87164 5 56 24 32 35 28 82495 13 17505 95342 24 o4658 12847 10 87153 4 57 24 24 35 36 825o09 4 17491 95368 24 04632 128f9 I 87141 3 58 24 i6 35 44 82523 i4 17477 95393 25 04607 12870 II 87130 2 59 294 8 35 52 82537'4 17463 95418 25 04582 12881 i 87119 I 60o 24 o 36 0 82551 i4 17449 95444 25 04556 12893 ii 87107 0 Nl HourP.M.IHourA.M1. Cosine. Diff. Secant. Cotangent:Diff.l Tangent. Cosecant. Diff. Sine. M 1310 A A B B C C 48' Seconds of time...... is 2s 3S 48 5 6 7 A 2 ( 4 5 7 9 11 12 Prop. partsof co. lsB 3 6 io 13 16 I9 22.c / 3 /4 /6 /718 II~_ TABLE XXVII. [Page 2.7 Log Silnes, Tangents, and Secants. G'.!420 A A B B C C1370 n zn~~~~~~~~~ 137~ hI Hour AM. iHour P.M. Sine. -Duff. Cosecaut. Tangent. Diffl~otan Secant. DiUE: Cosine. M I - ~~~,-7,~1 -— ~~, I o- I-. 8~ 1~ —o 6 24 o 5 36 09.82551; 0 10.17449 9.9544401o.o4556 1io.2893 o 9.87I07 60 1 23 52 36 8 82565 0 17435 95469 0 o453i 12904 0 87096 59 2 23 44 36 i6 82579 0 [7421 95495 I o455 12915 o0 87085 58 3 23 36 6 24 82593 i 7407 95520 I o448o 12927 I 87073 57 4 a3 28 36 32 82607 1 17393 95545 2 04455 12938 1 87062 561 6 3 20I 5 36 4o 9.82621 I 10.7379 9.95571 2 [0.04429 10.12o950 9.871 5 6~3 15364o~i9.89.69.,j i1o.17379 o1-9]87u[ 6 23 121 36 48 82635 I 17365 95596 3 444 296 I 87039 54 7 23 41 36 56 82649 2 17351 95622 3 04378 12972 1 87028 53 8 22 56 37 4 82663 2 17337 95647 3 o4353 12984 2 87016 52 9 22 481 37 12 82677 2 I7323 95672 4 04328 12995 2 87o005 i 10 6 22 40 5 37 20 9.82691 2 10.17309 9.95698 4 0.04302 10.13007 2 9.86993 So 11 22 321 37 28 82705 3 17295 95723 5 04277 i3oi8 2 86982 49 12 22 24 37 36 82719 3 17281 9574.8 5 04252 i3o3o 2 86970 48 13 22 i6 37 44 82733 3 i7267 95774 5 04226 13041 3 86959 47 14 22 8 37 52 82747 3 17253 95799 6 04201 13053 3 86947 46 15 6 22 o 5 38 0 9.82761 3 101.7239 9.95825 6 [0.04175 10.13064 3 9.86936 45 j6 21 52 38 8 82775 4 17225 95850 7 o4i5o 13076 3 86924 44 [7 21 44 38 16 82788 4 17212 95875 7 o4125 [3087 3 86913 43 i8 21 36 38 24 82o02 4 I7198 95901 8 04099 13098 3 86902 42 o9 21 28 38 32 82816 4 [7184 95926 8 04074 i3iio 4 86890 4 20 6 21 20 5 38 4o 9.82830 5 10.17170 9.95952 8,io.o4o4810o.13121 4 9.86879 4o 21 21 12 38 48 82844 5 17156 95977 9 402o3 13133 4 86867 39 22. 21 4 38 56 82858 5 17142 96002 9 03998 i3145 4 8685 38 23 20 56 39 4 82872 5 17128 96028 1o 03972 i3i56 4 86844 37 24 20 48 39 12 82885 6 17115 96053 1o 03947 i3i68 5 86832 36 25 6 20 4o 5 39 20 9.82899' 6 10.17101 9.96078 i 0io.o3922 10.13179 5 9.86821 35 26 20 32 39 28 82903 6 17087 96104 i 03896 13191 5 86809 34 27 20 24 39 36 82927 6 17073 96129 11 03871 13202 5 86798 33 28 20 i6 39 44 82941 6 17059 96155 12 o3845 13214 5 86786 32 29 20 8. 39 52 82955 7 I7045 9680o I2 03820 13225 6 86775 3I 30 6 20 ol 5 4o 09.82968 7 o10.170o32 9.96205 13 o0.03795 1o.3237 6 19.86763 30 31 [9 52 40 8 82982 7 17018 96231 i3 03769 [3248 6 86752 29 32 19 44 4o i6 82996 7 17004 96256 14 03744 13260 6 86740o' 28 33 19 36 40 24 83oc) 8 699ggo 96281J i4 03719 13272 6 86728 27 34 [9 28 4o 32 83023 8 16977 96307 14 03693 13283 7 86717 26 35 6 19 20 5 4o 4o 9.83037 810o. 6963 9.96332 iS io.o3668 1.13295 7 9.86705 25 36 i9 12 40 48 83o5i 8 16949 96357 15 o3643 i33o6 7 86694 24 37 19 4 4o 56 83o65 8 [6935 96383 i6 03617 x33i8 7 86682 23 38 i8 56 41 4 83078 9'6922 96408'i6 03592 i333o 7 86670 22 39 i8 48 4. I2 83092.9 16908' 96433 i6 03567 [3341 8 86659 2I 4o 6.j8 40o 5 41 20o9.83106 910o.16894 9.96459 17 ioo354ri o.13353 8 9.86647 20 41 18 32 4i 28 83120 9 i688o 96484 17 o35i6 i3365 8 86635 i9 42 i8 24 4i 36 83I33 1o [6867 96510o i8 03490 13376 8 86624 i8 43 i8 i6 4' 44 83147 Io i6853 965351 i8 o3465 I3388 8 86612 1I7 44 i8 8 4' 52 83161_ o 16839 965601 9 o344o 134oo 8 866oo 16 45 6 1i8 0 5 42 * 9.83174 Io1o0.16826 9.9658619 io.03414 io.-34i-i 9 9.86589 [5 46 17 52 42 8 83I88 ii 16812 96611 19 03389 13423 9 86577 14 47 17 44 42,6 83202 II 1 6798 96636 20 o3364 i3435 9 86565 i3 48 17 36 42 24 83215 11 16785 96662 20 o3338 [3446 9 86554 12 49 17 28 42 32 83229.1 i 6771 96687 21 o33t3 03458 9 86542,IJ So 6 17 20 5 42 419.83242 1i 10.16758 9.96712 21 10.032881 o0.3470 1o 9.86530o 0o 51 [7 [2 42 48 83256 12 16744 96738 22 03262 [3482I 1o 865i8 9 52 [7 4 42 56 83270 12 16730 96763 22 03237 [3493 [o 86507 8 53.6 56 43 4 83283 I[2 6717 96788 22 03212 i35o5 [0 86495 7 54 i6 48 43 12 83297 12 16703 96814 23 o3i86 13517 10o 86483 6 55 6 i6 4o5 43 20 9.833o 713 [.1 6690 9.96839 230o.o316r1 o.13528 119.86472 5 56 i6 32 43 28 83324 [3 16676 96864 24 03136 [3540 ii 86460 4 57 i6 24 43 36 83338 i3 16662 96890 24 o3i,(o [3552 i, 86448 3 58 i6 i6 43 44 8335i 13 16649 96915 25 o3085 i3564 i I 86436 2 19 i6 8 43 52 83365 14 i6635 96940 25 o3o6o i357S II j 86425 1 6o i6 0 44 0 83378 14 16622 96966 25 o3o34 [3587 12 86413 0 Iour P.M.Iour A.nI. Cosine. Diff./ Secant. CotangentlDuff. Tangent. Cosecant. D-ff.j Sine.- AM 1320 A A B B C C 47* Seconds of time...... 1 2' 38 48 58 6s 7s A 2 3 5 7 9 [0 2 Prop. parts of cols. B 3 6 o i3 i6 19 22 C I 3 4 6 7 9 10 Palge 228' TABLE XXVII. SI. Log. Siles, Tangents, andecants. GI. 43o A A B B C 4 136~ MI Hour A.M. Hour P.M. Sine. Diff. Cosecant. Tangent. Diff. Cotangent Secant Diff. Comsne. Ml o6 i6 o 5 44 o 9.83378 o Io0. 6622 9.96966 oio.o3o34 I0. i35871 0 9.86413 6o I IS 52 4Z 8 83392 o I66o8 9699 0 300oog I3599 0 8640oi 59 2 15 44 44 I6 834o5 o I655 9706I 1 02 o984 I361,. 86389 58 3 I 536 44 24 83419 II i658r 97042 1 02Q58 13623 86377 57 4 i5 28 44 32 8343 J II 6568 970i7 | 2 02 33 i3634 86366 56 5 6 15 2 544 4o 9.834461l IO.I6554 9.97092 2 IO.029g8 io.I3646 1 9.86354 55 6 15 12 44 48 83459 l i654i 971128 3 02882 i3658 I 86342 54 7 i5 4 44 56 83473 2 I6527 97143 3 02857 I3670 8633o 53 8 14 56 45 4 83486' 2 165i4 9716 3 02832 13682 2 863T8 52 9 i4 48 45 12 83500 2 65oo00 97193 4 o02807 13694 2 863o6 5i io 6 I4 4o 545 20 9.835I3 2I0o.I6487 997219 4 10.0278I 0..13705 2 9.86295 50 11 14 32 45 28 83527 2 16473 97241l 5 02756: 37 7 2 86283 49 12 14 24 45 36 83540 3 i6460 97269 5 02731 13729 2 86271 48 13 14 i6 45 44 83554 3 16446 97295 5 02705 I374I 3 86259 47 14 I4 8 45 52 83567 3 i6433 97320 6 02680 13753 3 86247 46 15 6 14 0o 546 o9.83581 31I0.I649 9.97345 610 O.02655 I0. 3765 3 9.86235 45 16 13 52 46 8 83594 4 64o6 97371 7 02629 I3777 3 86223 44 17 13 44 46 i6 83608 4 16392 97396 7 o2604 I3789 3 86211 43 18 i3 36 46 24 8362 1 4 16379 97421 8 02579 I38oo00 4 86200 42 19 i3 28 46 32 83634 4 1i6366 97447 8 02553 I38I2 4 86I88 4i 20 6 13 20 546 4o 409.83648 4 o10.16352 9.97472 8 o10.0o2528 I0.I3824 4 9.86176 40 21 i3 12 46 48 8366i 5 16339 974979 o2 503 I3836 4 86164 39 22 l3! 46 56 83674 5 16326 97523 9 02477 I3848 4 86152 38 23 I2 56 47 4 83688 5 16312 97548 Io o2452 i3860o 5 86I4o037 24 12 48 47 12 83701 5 16299 97573 10 02427 I3872 5 86128 36 25 6 12 4o 5 47 20 9.83715 6 1o.I6285 9.97598 I I 10.02402 io. i3884 5 9.861i6 35 26 I2 32 47 28 83728 6 16272 97624 11 02376 I3896 5 86io4 34 27 12 24 47 36 83741 6 16259 97649 lt 02351 i39o8 5 86092 33 28 12 i6 47 444 83755 6 I6245 97674 12 o2326 13920 6 86o8o 32 29 I2 8 47 52 83768 6 16232 977001 12 02300 I3932 6 86o68 3 30 6 12 5 48 0 9.83781 7 I0.I6219 9-97725 13 1O.0' 275 IO.I3944 6 9.86056 30 3I II 52 4 8 8 83795 7 16205 97750 13 02250 I3956 6 86o44 29 32 II 44 48 i6 838o8 7 16I92 977761 3 02224 I3968 6 86032 28 33 iI 36 48 24 83821 7 16179 9780ol 4 02199 13980 7 86020 27 34 iI 28 48 32 83834 8 i6i66 97826 1T4 02I74 I3992 7 86oo8 26 35 6 II 20 5 48 4o 9.83848 8 10.I6152 9.9785I i5 o. I49o.I4004 7 9.85996 25 36 II 12 48 48 8386i 8 I6I39 97877 i5 02I23 I40I6 7 85984 24 37 11 41 48 56 83874 8 16126 97902 i6 o2098 I4028 7 85972 23 38 Io 56 49 4 83887 8 i6i13 97927 J6 02073 404o0 8 85960 22 39 10o 48 49 12 83901 9 16o99 97953 i6 02047 14052 8 85948 2I 4o 6 o.40o 5 49 20 9.83914 9 o.16o 86 997978 17 10.02022 1o0.4064 89.85936 20 4I 10 32 49 28 83927 9 16073 98003 17 01997 14076 8 85924 19 42 1O 24 49, 36 83940 9 16060 98029 I8 01971 I4088 & 85912 I8 43 io 16 49 44 83954 0o i6o46 98054 i8 oi946 I4100oo 9 85900oo 17 44 iO 8 49 52 839671 O1 i6o33 98079 I9 OI921 14II2 9 85888 i6 45 6 so ol 5 50 O9.83980 IO Io.1-6020 9.98IO1 419 Io.1896 I0.1424 9 9.85876 I5 46 9 52 50 8 83993 10 16007 98130 19 01870 i4i36 9 85864 14 47 9 44 50o i6 84oo006 o I5994 98155 20 oi845 14949 9 8585I i3 48 9 36 5o 24 84020 11 I5980 98180 20 I01820 I4I6'I I& 85839 12 49 9 28 50 32 84033 I 5967 98206 21 01794 14173 IO 85827 IIr 50 6 9 20 5 o50 4o 9.84046 Ii I0.15954 9.98231 21 IO.I01769 Io.14185 Io 9.85815 IO 5i 9 12 50 48 84059d II 1594i 982561 22 01744 I4197 O0 85803 91 52 9 41 50o 56 84072 12 15928 98281 22 01719 14209 10 85791 8 53 8"56 5r 4 84o85| I2 5915 98307 22 oI693 I4221i II 85779 7 54 8 48 51 I2 84098 12 15902 98332 23 oi668 14234 II 85766, 6 55 6 8 40o 5 51 20 9.84II2 12 io.I5888 9.98357 23 lIo.oI643 Io.142461 II 9.85754 5 56 8 32 5I 28 84125J 12 15875 98383 24 oI6I7 14258| II 85742 4 57 8 24 51 36 84i38J i3 I5862 98408 24 o01592 14270 II 85730 3 58 8 i6 51 44 841i5i 3 15849 98433 24 01567 14282l I2 85718 2 59 8 8 5 5 52 84i641 i3 i5836 98458. 25 oI542 142941 I2 85706 I 6( 8 o 52 0 84~77 13 1i5823 98484 25 0oi5i6 14307 12 85693 0 M Hour P..IHour A.AM. Cosine. Diff. Secant. ICotangent!Diff.l Tangent. Cosecant.lDiff. Sine. M 133' A A B B C C 460 Seconds of -i-ne...... 18 2- 38 4-8 5| 6u 7 | Pr- p paltY f col A 2 3 5 7 18 o 12 Prop. parts of cols. B 3 | 6 9 i3 i6 19 22 IC 3 5 6 8 9 |I TABLE XXV!I. [Page 229 Is Gf. Log. Sines, Tangents, and Secants. 440 A A B B C C 1.35' M IHour A!.3 Hour e.iv. Sine. IDiff. Cosecant. Tangent.. Diff. Cotangent Secant. Diff. Cosine. Al o 6 8 o 5 52 09.84177 o Io..5823 9.98484 o1o.o1516 io. i4307 o.85693 6o 1 7 52 52 8 84190 o i58io 98509 o o01491 43I9 0 8568r 59 2 7 44 52 i6 84203 0 I5797 98534 I oi01466 1433i 0 85669 58 3 7 36 52 24 84216 I 15784 98560 I 01440 I4343 i 85657 57 4 7 28 52 32 84229 I I5771 98585 2 oi415 14355 I 85645 56 5 6 7 20 5 52 40 9.84242 1 10o.15758 9.98610o 21o.oi39 Io.I4368' 9.85632 55 6 7 12 52 48 84255 I 15745 98635 3 oi365 i438o I 85620 54 7 7 4 52 56 84269 2 1573r 98661 3 oi01339 I4392 I 8560o8 53 8 6 56 53 4 84282'2 15718 98686 3 oi314 14404 2 85596 52 9 6 48 53 12 84295 2 15705 98711 4 o01289 14417 2 85583 Si Io 66 4o 5 53 o20 9.84308 2 o.i5692 9.98737 4 1io.o263 IO.14429 2 -9.855'7i 50 IL 6 32 53 28 8432i 2 15679 98762 5 oI238 I4441 2 85559 49 12 6 24 53 36 84334 3 15666 98787 5 01213 I4453 2 85547 48 i 6 i6 53 44 84347 3 i5653 98812 5 oii88'4466 3 85534 47 I4 6 8 53 52 84360 3 15640 98838 6 0oI162 14478 3 85522 46 i5 6 6 o: 5 54 0 9.84373 3 10.15627 9.98863 61Io.oii37 1,0.449 3 9.85510 45 i6 5 52 54 8 84385 3 156i5 98888 7 0II2 i45o3 3 85497 44 17 5 44 54 i6 84398 4 15602 98913 7 01087 i455 4 85485 43 i8 5 36 54 24 84411 4 15589 98939 8 00oio6i 4527 4 85473 42 19 5 28 54 32 84424 4 15576 98964 8 oio36 i454o' 4 8546o 41 20 6 5 20 5 54 4o 9.84437 4 io.i5563 9.98989 8 1o.o0oi0 10.14552 4 9.85448 4o 21 5 12 54 48 84450 5 i5550 9905ggo 9 00985 I4564 4 85436 39 22 5 4 54 56 84463 5 15537 99040 9 00960 14577 5 85423 38 23 4 56 55 4 84476 5 i5524 99065 Io 00935 14589 5 85411 37 24 4 48 55 12 84489 5 i551ii 99090 10 00910 i46oi 5 85399 36 25 6 4 40 5 55 20 9.84502 5o10.15498 9.99II116 II Io.oo884 10io.I4614 5 9.85386 35 26 4 32 55 28 845i5 6 i5485 99141 II 00859 14626 5 85374 34 27 4 24 55 36 84528 6 15472 99166 i 00oo834 14639 6 8536i 33 28 4 I6 55 44 84540 6 i5460 99191 12 oo00809 I465i 6 85349 32 29 4 8 55 52 84553 6 15447 99217 12 00783 i4663 6 85337 31 30 6 4 5 56 0 9.84566 6i1o.i5434 9.99242 3 10-o.o00758 1o.14676 69.85324 30 31 3 52 56 8 84579 7 15421 99267 13 00733 i4688 6 853i2 29 32 3 44 56 16 84592 7 i5408 99293 13 00707 I4701 7 85299 28 33 3 36 56 24 84605 7 15395 99318 14 00682 14713 7 85287 27 34 3 28 56 32 846i8 7 15382 99343 14 00657 I4726 7 85274 26 35 6 3 ao 5 56 4o 9.84630 8 10.15370 9.99368 I510.00632 I0.14738 79.8526225 36 3 12 56 48 84643 8 15357 99394 i5 oo606:4750 7 85250 24 37 3 4 56 56 84656 8 I5344 99419 i6 oo0058i 14763 8 85237 23 38 2 56 57 4 84669 8 15331 99444 i6 oo00556 14775 8 85225 22 39 2 48 57 12 84682 8 r53i8 99469 i6 oo00531 14788 8 85212 21 40 6 2 4o5 57 20 19.84694 9 io.i53o6 9.99495 17 Io.oo5o5 io.i48oo 8 9.85200 20 41 a'32 57 28 84707 9 15293 99520 17 oo00480 i48i3 8 85187 19 42 2 24 57 36 84720 9 15280 99545 18 oo00455 14825 9 85175 iS 43 2 i6 57 44 84733 9 15267 99570 I8 00430 14838 9 85162 17 44 2 8 57 52 84745 9 15255 99596 19 00404 i4850o 9 85150o I6 45 6 2 o 5 58 0o 9.84758 1o 1o.i5242 9.99621 Ig 10.oo379 IO 148631 99.8537 15 46 I 52 58 8 84771 10o 15229 99646 9i 00oo354 14875 Io 85125 14 47 I 44 58 i6 84784 io 15216 99672 20 oo00328 i4888 Io 851[2 13 48 I 36 58 24 84796 IO 15204 99697 20 oo0303 14900 10o 851oo 12 49 I 28 58 32 84809 i I5191 99722 21 00278 14913 10O 85087 If So 6 1 20 5 58 4o 9.84822 Iio10.15178 9.99747 21 10.00253 10.14926 O 9.85074 o 51 1 12 58 48 84835 II i5i65 99773 21 00227 14938 II 85062 9 52 i 4 58 56 84847 1i 15153 99798 22 00202 14951 iI 85049 8 53 o 56 59 4 8486o II 15,4o 99823 22 00177 14963 ]I 85037 7 54 0 48 59 12 84873 12 15127 99848 23 00152 14976 if 85024 6 55 6 0 40 559 20 9.848851 i'o.i5ii5 9.99874 23 10o00126 Ic.I49881-i'7-.85i 5 56 0 32 59 28 84898I 12 I5102 99899 24 ooiqi i5oo 12 84999 4 57 0 24 59 36 8491, 12 I5c.9 99924 24 00076 i5oi4 12 84986 3 58 o i6 59 44 84923 12 15077 99949 24 ooo0005 15026 12 84974 2 59 0 8 59 52 84936 13 15064 99975 25 00025 1503 12 84961 1 6o 0 06 0 o 84949 i3 i5oi 10.00000 25 000ooooo i5o51 2 84949 0 MHour P.M.Hour H A. Cosine. Duff. Secant. Cotangent Diff. Tangent. Cosecant. Diff. Sine. -S 1340 A A B B C C 45' Seconds of time..... I1 2J8 3 4s 5 6' 7 A S3 8 10 I I Prop. parts of cols. { B 6 9 316 19 2 C 2 3 5 6 8 9 II TABLE LI. TABLE LI. [Page 329 To change mean solar time into To change sideral time into mean sideral time. solar time. Solar Solar Sieral Sideral Solar Ad Min- Add. I Sec- Add. Sideral Subtract. Min- Subtract Sec- Subtract Hours. utes. onds. iours. utes. ends. _M. S. S. S. M. s... I 0 9.9 I 0.2 I 0.0 I I 0 9.8 0 o0.2 I 0.0 2 019.7 2 0.3 2 0.0 2 o 197 2 o.3 2 0.0 3 o 29.6 3 o.5 3 0.0 3 o 29.5 3 o.5 3 o.o 4 o 39.4 4 0.7 4 0.0 4 0 39.3 4 0.7 4 o.o 5 o49.3 5 o.8 5 0.0 5 0 49. 5 o.8 5 o.o 6 o 59.I 6 o.o 6 0.0 6 o 59.0 6 I.0 6 0.0 7 I 9.0 7 1.2 7 0.0 7 I8.8 7 0I 7 0.0 8 I.I8.9 8 I.3 8 o.0 8 I I8.6 8 I.3 8 0.0 9 I 28.7 9 1.5 9 0.0 9 128.5 9 I.5 9 0.0 0 I 38.6 I0 I.6 I0 0.0 Io I 38.3 I0 I.6 Io 0.0 II 148.4 II I.8 II o.o II I48.I II i.8 11 0.0 12 I 58:.3 02 2.0 02 0.0 12 I 58.o I2 2.0 02 0.0 13 2 8.I I3 2.I I3 0.0 I3 2 7.8 I3 2. I3 0.0 I4 2 I8.0 I4 2.3 14 0.0 I4 2 I7.6 I4 2.3 I4 0.0 I5 2 27.8 15 2.5 i5 0.0 I5 2 27.4 I5 2.5 I5 0.0 i6 2 37.7 I6 2.6 I6 0.0 I6 2 37.3 I6 2.6 I6 0.0 17 2 47.6 07 2.8 I7 0.0 17 2 47.1 07 2.8 17 0.0 i8 2 57.4 18 3.o 18 0.0 18 2 56.9 18 2.9 o8 0.0 I9 3 7.3 I9 3.I 09 0.I Ig 3 6.8 19 3.I I9 0.I 20 3 I7.I 20 3.3 20 0.I 20 3 I6.6 20 3.3 20 O.I 20 3 27.0 2I 3.5 20 0.0 2I 3 26.4 2I 3.4 20 0.I 22 3 36.8 22 3.6 22 0. 22 3 36.2 22 3,6 22 0.I 23 3 46.7 23 3.8 23 0.I 23 3 46.I 23 3.8 23 O.I 24 3 56.6 24 3.9 24 o.I 24 3 55.9 24 3.9 24 0.I 25 4.I 25 o.I 25 4.I 25 0.I 26 4.3 26 o.0 26 4.3 26 o.I 27 4.4 27 0. I 27 4.4 27 0.I 28 4.6 28 0.I 28 4.6 28 0.0 29 4.8 29 0.I 29 4.8 29 0.0 30 4 3. 3 4.9 30 o.I 30 49 30 o 31 5.I 3I 0.I 3I 5.I 3Io 0.I 32 5.3 32 o0. 32 5.2 32 o0. 33 5.4 33 o.I 33 5.4 33 0.I 34 5.6 34 O.I 34 5.6 34 o.I 35 5.8 35 o.I 35 5.7 35 0.I 36 5.9 36 o.I 36 5.9 36. I 37 6.37 7 O. I 0. 37 6.I 37 0.I 38 6.2 38 o.I 38 6.2 38 o0. 39 6.4 39 o. I 39 6.4 39 o.I 4o 6.6 4o 0. 4o 6.6 40o 0o. 41 6.7 40 o.I 4I 6.7 40 0.0 42 6.9 42 o.1 42 6.9 42 0.I 43 7.1 43 0. 43 7.0 43 0o. 44 7.2 44 0. 44 7.2 44 0o. 45 7.4 45 0.0 45 7.4 45 0o. 46 7.6 46 o.o 46 7.5 46.6 47. 7.7 47 0. 0 47 717 47, 0. 48 7.9 48.I 48 7-9 48. 49 8.i 49 o._ 49 8.o 49 0.i 5o 8.2 50 o.I 50 8.2 50 o. 5r 8.4 5I 0. 5I 8.4 5I o0. 52 8.5 52 0o. 52 8.5 52 0o. 53 8.7 53 o. 53 8.7 5 3 o.,I 54 8.9 54 o.i 54 8.8 54 0. 55 g.o 55 0.2 55 9.0 55 0.2 56 9.2 56 0.2 56 9.2 56 0.2 58 9.5 58 0.2 W 9.5 58 0.2 S9 9.7 S9 0.2 S9 9.7 59 0 2 6o 9.9 6o 0.2 6o0 9.8 6 o. 4lt 76 MIDDLE LATITUDE SAILING. BY GUNTER. st. The extent from the distance 215, to the departure 167, on the line of numbers, will reach from the radius 900, to the course 500 58' on the line of sines. 2dly. The extent from radius 90~, to the complement of the course 39~ 02', on the line of sines, will reach from the distance 215, to the difference of latitude 135.4, on the line of numbers. 3dly. The extent from the complement of the middle latitude 410 37', to the radius 900, on the line of sines, will reach from the departure 167, to the difference of longitude 251.5, on the line of numbers. BY INSPECTION. As in Case V. Plane Sailing, find the course by seeking in Table II. till against the distance, in its column, is found the given departure in one of the following columns, adjoining to which, in the other column, will be the difference of latitude, which if greater than the departure, the course will be at the top, but if less the course will be found at the bottom. Then take the middle latitude as a course, and find the departure in the column of difference of latitude, against which, in the distance column, will be found the difference of longitude. Thus the distance 215, and the departure 167, are found nearly to correspond to a course of 51 degrees, and a difference of latitude of 135.3; then with the middle latitude 48~, as a course, I enter the table, and seek for the departure 167, in the latitude column; the distance corresponding 250 is the difference of longitude nearly. In all the preceding examples, we have used the middle latitude, without any correction, in computing the difference of longitude; but when absolute accuracy is required, this latitude must be corrected. We have given in the following table the value of this correction in the most common cases. It requires no particular explanation: one example will serve to show its use. Suppose, therefore, the two latitudes to be 400 and 600. Here the middle latitude is 50~, and the difference of latitude 20~; the tabular correction corresponding to these numbers is 57/; adding this to 50~, we get the corrected middle latitude 50~ 57', which is to be used instead of 50~, when great accuracy is required. We have inserted in the notes at the bottom of the pages, in the preceding examples, the values of this correction, but have not introduced it into the calculations, because it is generally unnecessary on account of its smallness TABLE. This Table contains the correction, in minutes, to be added to the Middle Latitude to obtain the corrected Middle Latitude. MID. DIFFERENCE OF LATITUDE. MID. LAT. 10 20 30 40 50 60 70 8 90 100 120 114 160 180 200 LAT. o, 1 1 1 1 I I' I I, t 0 15 0 1 2 3 5 7 9 12 15 18 26 36 47 59 72 15 18 0 1 1 3 4 6 8 10 13 16 23 32 41 52 64 18 21 0 1 1 2 4 5 7 9 12 15 21 29 37 47 58 21 24 0 1 1 2 3 5 7 9 11 14 20 27 35 44 54 24 30 0 1 1 2 3 5 6 8 10 13 18 25 32 41 50 30 35 0 1 1 2 3 4 6 8 10 12 18 24 32 40 49 35 40 0 1 1 2 3 5 6 8 10 13 18 25 32 41 50 40 45 0 1 1 2 3 5 8 11 13 19 26 34 43 53 45 _50 0 1 1 2 4 5 7 9 11 14 20 28 36 46 57 50 55 0 1 1 3 4 6 8 10 13 16 22 31 40 51 63 56 58 0 1 2 3 4 6 8 11 14 17 24 33 43 55 68 58 60 0 1 2 3 4 6 9 11 14 18 26 35 46 58 72 60 62 0 1 2 3 5 7 9 12 15 19 27 37 49 62 77 62 64 0 1 2 3 5 7 10 13 16 20 29 40 52 67 83 64 66 0 1 2 4 5 8 11 14 18 2'2 32 43 57 72 90 66 68 0 1 2 4 6 8 12 15 19 24 34 47 62 79 99 68 70 0 1 2 4 6 9 13 16 21 26 38 52 68 88 110 70 72 0 1 3 5710 14 18 23 29 42 58 76 98 124 72 This Table is to be entered at the top with the difference of the two latitudes, and at the side with the middle latitude; under the former, and opposite to the latter, is the correction, in minutes, to be added to the middle latitude, to obtain the corrected middle latitude. LOGARITHMS. IN order to abbreviate the tedious operations of multiplication and division wlth large numbers, a series of numbers, called Logarithms, was invented by Lord Napie:, Baron of Marchinston in Scotland, and published in Edinburgh in 1614; by means of which the operation of multiplication may be performed by addition, and division by subtraction; numbers may be involved to any power by simple multiplication, and tae root of any power extracted by simple division. In Table XXVI. are given the logarithms of all numbers from 1 to 9999; to each one must be prefixed an index, with a period or dot to separate it from the other part, as in decimal fractions; the numbers from 1 to 100 are published in that table with their indices; but from 100 to 9999 the index is left out for the sake of brevity; but it may be supplied by this general rule, viz. The index of the logarithm of any integer or mired number is always one less than the number of integral places in the natural number. Thus the index of the logarithm of any number (integral or mixed), betweer 1O and 100, is 1; from 100 to 1000, it is 2; from 1000 to 10000 is 3, &c.; the method of finding the logarithns from this table will be evident from the following examples. To find the logarithm of any number less than 100. RULE. Enter the first page of the table, and opposite the given number will be found the logarithm with its index prefixed. Thus opposite 71 is 1.85126, which is its logarithm. To find the logarithm of any number between 100 and 1000. RULE. Find the given number in the left-hand column of the table of logarithms, and immediately under 0 in the next column is a number, to which must be prefixed the number 2 as an index (because the number consists of three places of figures) and you will have the sought logarithm. Thus, if the logarithm of 149 was required; this number being found in the lefthand column, against it, in the column marked 0 at the top (or bottom), is found 17319, to which prefixing the index 2, we have the logarithm of 149=-2.17319. To fJind the logarithm of any number between 1000 and 10000. RULE. Find the three left-hand figures of the given number, in the left-hand column of the table of logarithms, opposite to which, in the column that is marked at the top (or bottom) with the fourth figure, is to be found the sought logarithm; to which must be prefixed the index 3, because the number contains four places of figures. Thus, if the logarithm of 1495 was required; opposite to 149, and in the column marked 5 at the top (or bottom), is 17464, to which prefix the index 3, and we have the sought logarithm, 3.17464. To Jind the logarithm of any number above 10000. RVLE. Find the three first figures of the given number in the left-hand column of the table, and the fourth figure at the top or bottom, and take out the corresponding number as m the preceding rule; take also the difference between this logarithm and the next greater, and multiply it by the given number exclusive of the four first figures; tross off at the right hand of the product as many figures as you had figures of the given number to multiply by; then add the remaniining left-hand figures of this product to the logarithm taken from the table, and to the sum prefix an index equal to one less LOGARITHMS 29 than the aclmber of integral figures in the given number, and you will have the sought logarithm. To facilitate the calculation of these proportional parts, several small tables are placed in the margin, which give the correction corresponding to the difference D, and to theifth figure of the proposed number. The use of these tables will be seen in the following examples. Thus, if the logarithm of 14957 was required; opposite to 149, and under 5, is 17464; the difference between this and the next greater number, 17493, is 29, the difference D; this multiplied by 7 (the last figure of the given number) gives 203; crossing off the right-hand figure leaves 20.3 or 20 to be added to 17464, which makes 17484; to this prefixing the index 4, we have the sought logarithm, 4.17484. This correction, 20, may also be found by inspection in the small table in the margin, marked at the top with D =29, and opposite to thefifth figure of the number, namely 7, at the side; the corresponding number is the correction, 20. Again, if the logarithm of 1495738 was required; the logarithm corresponding to 149 at the left, and 5 at the top, is, as in the last example, 17464; the difference between this and the next greater is 29; multiplying this by 738 (which is equal to the given number, excluding the four first figures) gives 21402; crossing off the three right-hand figures of this product (because the number 738 consists of three figures), we have the correction 21 to be added to 17464; and the index to be prefixed is 6, because the given number consists of 7 places of figures; therefore the sought logarithm is 6.17485. This correction, 21, may be found as above, by means of the marginal table, marked at the top with D = 29, and at the side 7.38 or 7} nearly, to which corresponds 21, as before. To find the logarithm of any mixed decimal number. RULE. Find the logarithm of the number, as if it was an integer, by the last rule, to which prefix the index of the integral part of the given number. Thus, if the logarithm of the mixed decimal 149.5738 was required; find the logarithm of 1495738, without noticing the decimal point; this, in the last example, was found to be 17485; to this we must prefix the index 2, corresponding to the integral part 149; the logarithm sought will therefore be 2.17485. To find the logarithm of any decimal fraction less than unity. The index of the logarithm of any number less than unity is negative; but to avoid the mixture of positive and negative quantities, it is common to borrow 10 or 100 in the index, which must afterwards be neglected in summing them with other indices thus, instead of writing the index — 1, it is usually written +-9, or +-99; but in general it is sufficient to borrow 10 in the index; and it is what we shall do in the rest of this work. In this way we may find the logarithm of any decimal fraction by the following rule. RULE. Find the logarithm of a fraction as if it was a whole number; see how many ciphers precede the first figure of the decimal fiaction, subtract that number from 9, and the remainder will be the index of the given fraction. Thus the logarithm of 0,0391 is 8.59218; the logarithm of 0.25 is 9.39794; the logarithm of 0.0000025 is 4.39794, &c. To find the logarithm of a vulgar fraction. RULE. Subtract the logarithm of the denominator from the logarithm of the numerator (borrowing 10 in the index when the denominator is the greatest); the remainder will be the logarithm of the fraction sought. EXAMPLE I. EXAMPLE II. Required the logarithm of I. Required the logarithm of 3-, or A. From log. of 3............... 0.47712 From log. of 13............... 1.11394 Take log. of 8............... 0.90309 Take log. of 4..... 0.60206 Remainder, log. of I or.375.... 9.57403 Remainder, log. of 34 or 3.25... 0.51188 To find the number corresponding to any logarithm. RULE. In the column marked 0 at the top (and bottom) of the table, seek for the next ses logarithm, neglecting the index; note the number against it, and carry your eye 30 LOGARITHMS, along that linke until you find the nearest less logarithm to the given one, ana you will have the fourth figure of the given number at the top, which is to be placed to the right ofthe three other figures; if you wish for greater accuracy, you must take the difference, D, between this tabular logarithm and the next greater, also the difference, d, between that least tabular logarithm and the given one; to the latter difference, d, annex two or more ciphers at the right hand, and divide it by the former difference, D, and place the quotient* to the right hand of the four figures already found, and you will have the number sought, expressed in a mixed decimal, the integral part of which will consist of a number of figures (at the left hand) equal to the index of the logarithm increased by unity.t Thus, if the number corresponding to the logarithm 1.52634 was required, we find 52634 in the column marked 0 at the top or bottom, and opposite to it is 336; now, the index being 1, the sought number must consist of two integral places; therefore it is 33.6. If the given logarithm was 2.32838, we find that 32838 stands in the column marked 0 at the top or bottom, directly opposite to 213, which is the number sought, because, the index being 2, the number must consist of three places of figures. If the number corresponding to the logarithm 2.57345 was required, we must look in the column 0; and we find in it, against the number 374, the logarithm 57287; and, guiding the eye along that line, we find the given logarithm, 57345, in the column marked 5; therefore the mixed number sought is 3745; and, since the index is 2, the integral part must consist of 3 places; therefore the number sought is 374.5. If the index be 1, the number will be 37.45; and if the index be 0, the number will be 3.745. If the index be 8, corresponding to a number less than unity, the answer will be 0.03745, &c. Again, if the number corresponding to the logarithmn 5.57811 was required look in the column 0, and find in it, against 378, and under 5, the logarithm 57807, the difference between this and the next greater logarithm, 57818, being 11, and the difference between 57807 and the given number, 57811, being 4; to this 4 affix two ciphers, which make 400, and divide it by 11; the quotient is 36 nearly; this number, being connected with the former four figures, makes 378536, which is the number required, since, the index being 5, the number must consist of six places of figures. To show, at one view, the indices corresponding to mixed and decimal numbers, we have given the following table. Mixed number. Logarithms. Decimal number. Logarithms. 40943.0......... Log. 4.61218 0.40943......Log. 9.61218 4094.3......... Log. 3.61218 0.040943 L....og. 8.61218 409.43...... Log. 2.61218 0.0040943.. Log. 7.61218 40.943... Log. 1.61218 0.00040943....... Log. 6.61218 4.0943.......Log. 0.61218 0.000040943..... Log. 5.61218 MULTIPLICATION BY LOGARITHMS. R[ULE. Add the logarithms of the two numbers to be multiplied, and the sum will be the logarithm of their product. EXAMPLE I. EXAMPLE II. Multiply 25 by 35. Multiply 22.4 by 1.8. 25..............Log. 1.39794 22.4............ Log. 1.35025 35........ Log. 1.54407 1.8........... Log. 0.25527 Product, 875.......... Log. 2.94201 Product, 40.32..........Log. 1.60552 * This quotient must consist of as many places of figures as there were ciphers annexed, conformable to the rules of the division of decimals. Thus, if the divisor was 40, and the number to which two ciphers were annexed was 2, making 2.00, the quotient must not be estimated as 5, but as 05, and then two figures must be placed to the right of the four figures before found. t If the index corresponds to a fraction less than unity, you must place as many ciphers to the left of that number as are equal to the index subtracted from 9, the decimal point being placed to the left of these ciphers; in this manner you will obtain the sought number. WVe may find the fifth figure of the required number by means of the marginal tables, by entering the table corresponding at the top to the proposed value of D, and in the riglt-hand column with d; the corresponding number is the fifth figure of the required natural number. LOGARITHMS. 31 EXAMPLE III. EXAMPLE IV. Multiply 3.26 by 0.0025. Multiply 0.25 by 0.003. 3.26........... Log. 0.51322 0.25............ Log. 9.39794 0.0025..........Log. 7.39794 0.003........... Log. 7.4771'2 Product, 0.00815..........Log. 7.91116 Product, 0.00075..........Log. 6.87506 In the last example, the sum of the two indices is 16; but since 10 was borrowed in each number, we have neglected 10 in the sum; and the remainder, 6, being less than the other 10, is evidently the index of the logarithm of a fraction less than unity. DIVISION BY LOGARITHMS. Ruix. From the logarithm of the dividend subtract the logarithm of the divisor; the remainder will be the logarithm of the quotient. EXAMPLE I. EXAMPLE 111. Divide 875 by 25. Divide 0.00815 by 0.0025. 875............ Log. 2.94201 0.00815.........Log. 7.91116 25.............Log. 1.39794 0.0025..........Log. 7.39794 Quotient, 35.............Log. 1.54407 Quotient, 3.26........... Log. 0.51322 EXAMPLE II. EXAMPLE IV. Divide 40.32 by 22.4. Divide 0.00075 by 0.025. 40.32.......... Log. 1.60552 0.00075......... Log. 6.87506 22.4.......... Log. 1.35025 0.025...........Log. 8.39794 Quotient, 1.8............Log. 0.25527 Quotient, 0.03............Log. 8.47712 In Example III. both the divisor and dividend are fractions less than unity, and the divisor is the least; consequently the quotient is greater than unity. In Example IV. both fractions are less than unity; and, since the divisor is the greatest, its logarithm is greater than that of the dividend; for this reason it is necessary to borrow 10 in the index before making the subtraction; hence the quotient is less than unity. INVOLUTION BY LOGARITHMS. RULE. Multiply the logarithm of the number given, by the index of the power to which the quantity is to be raised; the product will be the logarithm of the power sought. But in raising the powers of any decimal fraction, it must be observed, that the first significant figure of the power must be put as many places below the place of units as the index of its logarithm wants of 10 multiplied by the index of the power. EXAMPLE I. EXAMPLE III. Required the square of 18. Required the square of 6.4. 18.............Log. 1.25527 6.4........... Log. 0.80618 2 2 Answer, 324........... Log. 2.51054 Answer, 40.96........... Log. 1.61236 EXAMPLE II. EXAMPLE IV. Required the cube of 13. Required the cube of 0.25. 13.............Log. 1.11394 0.25............Log. 9.39794 3 3 Answer, 2197............Log. 3.34182 Answer, 0.015625........Log. 28.19382 In the last example, the index 28 wants 2 of 30 (the product of 10 by the power 3); therefore the first significant figure of the answer, viz.., is placed two figures distant from the vDlicre of unito 32 tLOGARITHMS EVOLUTION BY LOGARITHMS. RULE. Divide the logarithm of the number by the index of the power; the quotient will be the logarithm of the root sought. Buat if the power whose root is to be extracted is a decinal fraction less than unity, prefix to the index of its logarithm a figure less by one than the index of the power,' and divide the whole by the index of the power; the quotient will be the logarithm of the root sought. EXAMPLE I. EXAMPLE III. What is the square root of 324? Required the square root of 40.96. 324........... Log. 2)2.51055 - 40.96..........Log. 2)1.61236 Answer, 18............Log. 1.25527 Answer, 6.4...........Log. 0.80618 EXAMPLE II. EXAMPLE IV. Required the cube root of 2197. Required the cube root of 0.015625. 2197........Log. 3) 3.34183 0.015625........Log. 8.19382 Answer, 13........... Log. 1.11394 Prefix 2 to the index......3)28.19382 Answer, 0.25............Log. 9.39794 TO WORK THE RULE OF THREE BY LOGARITHMS. When three numbers are given to find a fourth proportional, in arithmetic, we make a statement, and say, As the first number is to the second, so is the third to the fourth; and by multiplying the second and third together, and dividing the product by the first, we obtain the fourth number sought. To obtain the same result by logarithms, we must add the logarithms of the second and third numbers together, and from the sum subtract the logarithm of the first number; the remainder will be the logarithm of the sought fourth number. EXAMPLE I. EXAMPLE II. If 6 yards of cloth cost 5 dollars, what If a ship sails 20 miles in 7 hours, how will 20 yards cost? much will she sail in 21 hours at the As 6................. Log. 0.77815 same rate? Is to 5................ Log. 0.69897 As 7................ Log. 0.84510 So is 20...............Log. 1.30103 Is to 20............... Log. 1.30103 Sum of 2d and 3d........... 2.00000 So is 21.......... Log. 1.32222 Subtract the first........ 0.77815 Sum of 2d and 3d........... 2.62325 To 16.67.Log. 1.22185 Subtract the first............ 0.84510 To 16.67.............. Log. 1.22185 To 60............... Log. 1.77815 The answer, therefore, is 16 dollars and o-6v, or 16 dollars and 67 cents. The answer is 60 miles. TO CALCULATE COMPOUND INTEREST BY LOGARITHMS. To 100 dollars add its interest for one year; find the logarithm of this sum, and reject 2 in the index; then multiply it by the number of years and parts of a year for which the interest is to be calculated; to the product add the logarithm of the sum put at interest; the sum of these two logarithms will be the logarithm of the amount of the given sum for the given time. * In this rule it is supposed that 10 is borrowed in finding the index to the decimal according to the rule, page!29. LOGARITHMS. 33 EXAMPLE. Required the amount of the principal and interest of 355 dollars, let at 6 per cent. compound interest, for 7 years. Adding 6 to 100 gives 106; whose logarithm, rejecting 2 in the index, is....................... 0.02531 Multiplied by...7........................ 7 Product........................................ 0.17717 Principal, 355 dollars.....................Log. 2.55023 Sum gives the logarithm of 533.83............. Log. 2.72740 Therefore the amount of principal and interest is 533 dollars and 83 cents To find the logarithm of the sine, tangent, or secant, corresponding to any number of degrees and minutes, by Table XXVII. The given number of degrees must be found at the bottom of the page when between 450 and 1350, otherwise at the top; the minutes being found in the column marked M, which stands on the side of the page on which the degrees are marked; thus, if the degrees are less than 45, the minutes are to be found in the left-hand column, &c.; and it must be noted that if the degrees are found at the top, the names of hour, sine, cosine, tangent, &c., must also be found at the top; and if the degrees are found at the bottom, the names sine, cosine, &c., must also be found at the bottom. Then opposite to the number of the minutes will be found the log. sine, log. secant, &c. in the columns marked sine, secant, &c. respectively. EXAMPLE I. EXAMPLE 1I. Required the log. sine of 280 37'. Required the log. secant of 1260 20'. Find 280 at the top of the page, directly Find 1260 at the bottom of the page, below which, in the left-hand column, directly above which, in the left-hand find 37/; against which, in the column column, find 20'; against which, in the marked sine, is 9.68029, the log. sine of column marked secant, is 10.22732 rethe given number of degrees; and in the quired. same manner the tangents, &c. are found. TbJind the logarithm of the sine, cosine, Fac. for degrees, minutes, and seconds, by Table XXVII. Find the numbers corresponding to the even minutes next above and below the given degrees and minutes, and take their difference, D; then say, As 60" is to the numlier of seconds in the proposed number, so is that difference, D, to a correction, d, to be applied to the number corresponding to the least number of degrees and minutes; additive if it is the least of the two numbers taken from the table, otherwise subtractive. EXAMPLE III. EXAMPLE IV. Required the log. sine of 24b 16' 38/". Required the log. secant of 1050 20' 16". Sine of 240 16..........Log. 9.61382 Secant of 105~ 201.......Log. 10.57768 Sine of 24 17..........Log. 9.61411 Secant of 105 21.......Log. 10.57722 Difference......D -- 29 Difference......D - 46 Then, as 60"~: 38":: 29: 18, which, Then, as 60": 16":- 46: 12, which, being added to the number corresponding being subtracted from the number correto 240 16', gives 9.61400, the log. sine of sponding to 1050 20', gives 10.57756, the 24~ 16' 38". log. secant of 1050 20' 16". If the given seconds be, a,,, or A, or any other even parts of a minute, the like parts may be taken of the difference of the logarithms, andl added or subtracted as above, which may be frequently done by inspection. These proportional parts may also be found very nearly by means of the three columns of differences for seconds, given, for the first time, in the ninth edition of this work. The first column of Jifferences, which is to be used with the two columns marked A, A, is placed between.5 34. LOGARITHMS. these columns. The second column of differences, which is to be used with the two columns B, B, is placed between these two columns. In like manner, the third column of differences, between the columns C, C, is to be used with them. The correction of the tabular logarithms in any of the columns A, B, C, for any number of seconds, is found by entering the left-hand column of the table, marked S' at the top, and finding the number of seconds; opposite to this, in the column of differences, will be found the corresponding correction. Thus, in the table, page 215, which contains the log. sines, tangents, &c., for 30~, the corrections corresponding to 25", are 9 for the columns A, A, 12 for the columns B, B, 3 for the columns C, C; so that, if it were required to find the sine, tangent, or secant of 300 12' 25i", we must add these corrections respectively to the numbers corresponding to 300 12'; thus, COL. A. COL. B. COL. C. Logs. for 300 121....Sine 9.70159 Tangent.... 9.76493 Secant.... 10.06335 Corrections for 25"t in St +9 + 12 +-3 Logs. for 300 12' 25"/.... 9.70168 9.76505 10.06338 these corrections being all added, because the logarithms increase in proceeding fiom 30~ 12' to 300 13'. Instead of taking out the logarithms for 30~ 12', and adding the correction for 25", we may take out the logarithms for 300 13t, and subtract the correction for 60" - 25", or 35", found in the margin S'; thus, Logs. for 300 13'....Sine 9.70180 Tangent.... 9.76522 Secant.... 10.06342 Corr. for 35t" in col. St, - or 25" in col. GI... 1 Logs. for 300 12' 25".... 9.70167 9.76505 10.06338 The corrections are in this case subtracted, because the logarithms decrease in proceeding backward 35t" from 300 13', to attain 300 12' 25". The tangents and secants, in this example, are the same by both methods; the sines differ by one unit, in the last decimal place, and this will frequently happen, because the difference of the logarithms for 1', sometimes differ one or two units from the mean values which are used in the three columns of differences. The error arising from this cause is generally diminished by using the smallest angle * S', when the seconds of the proposed angle are smaller than 30"; or the greatest angle G', when the number of seconds are greater than 30"'. Thus, in the above example, where the angle SI = 30012', and the angle G' = 300 13', it is best to use the angle St when the given angle is less than 300 12' 30t", but the angle G' when it exceeds 300 12' 30". Thus, if it be required to find the sine of 300 12' 51", it is best to use the angle G' = 30~ 13', and find the correction by entering the margin marked S', with the difference 60(1 51" = 9", opposite to which, in the column of differences, is 3, to be subtracted from log. sine of 300 13' = 9.70180, to get the log. sine of 300 12t 51" = 9.70177. To save the trouble of subtracting the seconds from 60", we may use the right-hand margin, marked G', and the correction may then be found by the following rules:RULE 1. When the smallest angle St is used, find the seconds in the column St, and take out the corresponding correction, which is to be applied to the logarithm corresponding to S'; by adding, if the log. of G' be greater than the log. of S'; otherwise, by subtracting. RULE 2. When the greater angle G' is used, find the seconds in the column G', and take out the corresponding correction, which is to be applied to the logarithm corresponding to G'; by adding, if the log. of St be greater than the log. of G'; otherwise, by subtracting; so that, in all cases, the required logarithm may fall between the two logarithms corresponding to the angles S' and Gt. The correctness of these rules will evidently appear by comparing them with the preceding examples; and by the inverse process we may find the angle corresponding to a given logarithm, as in the next article. We have given at the bottom of the page, in this table, a small table for finding the proportional parts for the odd seconds of time, corresponding to the column of Hours A. M. or P. M.; to facilitate the process of finding the log. sine, cosine, &c. corresponding to the nearest second of time in the column of hours, or, on the contrary, to find the nearest second of time corresponding to any given log. sine, cosine. &c. Thus, in the preceding examples, where the angle S/=300 12t, and the * If we neglect the seconds in any proposed angle whose sine, &c. is required, we get the angle denoted above by S', and this angle increased by 1', is represented by G'; so that the proposed angle falls between S' and G'; S' being a smaller, and G' a greater angle than that whose log. sine, &c., is required; the letters S' and G', accented for minutes, being used because they are easily remenime'red as the initials of snmaller and greater LOGARITHMS, 35 angle G't 300 13'; the times corresponding in the column of Hours P. M., are S= - 4h 1m 36'; G- 4h Im 44'; and if we wish to find the log. sine, cosine, &c., corresponding to any intermediate time, as, for example, 4h 1m 39', which differs 3' from the angle SI, we must find the tabular logarithm corresponding to S', and apply the correction for 3s, given by the table at the bottom of the page, as in the following examples:A. B. C. Logs. for S' = 4h 1" 36' Sine 9.70159 Tangent 9.76493 Secant 10.06335 Correction for + 3' + 8 + 11 +- 3 Logs. for..... 4h 1 398 Sine 9.70167 Tangent 9.76504 Secant 10.06338 Nearly the same results are obtained by using the angle G', in the manner we have before explained:Logs. for G' = 41 1m 448 Sine 9.70180 Tangent 9.76522 Secant 10.06342 Correction for - 5' - 13 - 18 - 5 Logs. for.... 4h Im 39' Sine 9.70167 Tangent 9.76504 Secant 10.06337 These corrections must be applied by addition or subtraction, according to the directions given above, so as to make the required logarithm fall between those which correspond to the times S' and Gt. The inverse process will give the time corresponding to any logarithm. Thus, if the log. sine 9.70167 be given, the difference between this and 9.70159, corresponding to S - 4h Im 36s, is 8; seeking this in the column A, in the second line of the table at the bottom of the page, it is found to correspond' to 3s; adding this to the time St - 4h Im 36', we get 4h im 39' for the required time. We may proceed in the same manner with the logarithms in the columns B, C; using the numbers corresponding, marked B, C, respectively, in the table at the bottom of the page. To find the degrees, minutes, and seconds, corresponding to any given logarithm sine, cosine, T4c. by Table XXVII. Find the two nearest numbers to the given log. sine, cosine, &c., in the column marked sine, cosine, &c., respectively, one being greater, and the other less, and take their difference, D; take also the difference, d, between the given logarithm and the logarithm corresponding to the smallest number of degrees and minutes; then say, As the first found difference is to the second found difference, so is 60/t to a number of seconds to be annexed to the smallest number of degrees and minutes before found. The three columns of differences may also be used, by an inverse operation to that which we have explained in the preceding article. EXAMPLE V. Find the degrees, minutes, and seconds (less than 900), corresponding to the log. sine 9.61400. Next less log. S' -240 16' 9.61382 Log. of smallest angle S' -240 16' is 9.61382 Greater.... G G'= 24 17 9.61411 Given log........................ 9.61400 D 29 d- 18 Then say, As 29: 18::60': 38t", nearly; which, annexed to 240~ 16', give 240~ 16t 38, answering to log,. sine 9.61400. Subtracting 240 16t 38"t from 1800, there remain 1550 43' 22", the log. sine of which is also 9.61400. The quantity 38t" may also be found by inspection in the side column St of the page opposite d=18,'n the column of differences between the two columns, A, A. If we use the angle G', we shall have d' equal to 11, the difference of the logarithms 9.61411 and 9.61400, and the corresponding number of seconds in column G', is 37//, making 240 16' 37"/. To find the arithmetical complement of any logarithm. The arithmetical complement of any logarithm is what it wants of 10.00000, and is used to avoid subtraction. For, when working any proportion by logarithms, you may add the arithmetical complement of the logarithm of the first term, instead of subtracting the logarithm itself, observing to neglect 10 in the index of the sum of the logarithms. The arithmetical complement of any logarithm is thus found:-Begin at the index, and write down what each figure wants of 9, except the last signji cant figure, which takefrom 10." Thus, the arithmetical complement of 9.62595 is 0.37405; that of 1.86567 is 8.13433; and that of 10.33133 is 89.66867, or 9.66867. * When the index of the given logarithm is greater than 10, as in some of the numbers of Table XXVII., the left-hand figure of it must be neglected; and when there are any ciphers to the right hand of the last significant figure, you may place the same number of ciohers to the right hand of the other fgupres of the arithmetical complement E. & G. W. BLUNT. 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New Chart of the Windward Islands, on a large scale, New Chart of Magnetic Variations for the whole world. The subscribers have now published Charts of all the navigable world, from the best authorities, and hope that American Ship-masters will use American Charts. 3DIVIDIT IG ENGINTGE_ They have just completed at their establishment, after a labor of over five years, a Dividing Engine, by which they are enabled to divide Astronomical and Nautical Instruments to a degree of precision which they will guarantee to be equal to the best of foreign make. The subscribers, therefore, ask that American ships may be navigated by American made instruments. I T S T:R, TRJ M: E I T r S Chronometers of the best makers, for sale and to hire. Sextants, Quadrants, &c., of American manufacture. Spy Glasses. Night Glasses, new kind. Aneroid Barometers. Compasses, Dent's Improved, and others. Binnacles. Globes, Terrestrial and Celestial, 16 inch. The Terrestrial with Isothermal Lines of Temperature, and Deep Sea Soundings. MassQy's Patent Logs. Ogden's, Ericsson's, and Massey's Patent Sounding Instruments. Improved Compasses with elastic centres. ABBOTT'S HIOROMETER, a new and simple instrument for working the Longitude either by Lunar Observations or the Chronometer. E. & G. XW. BLUNT, 179 Water-Street. Xt thle I.. $ i. 3at t J of amd (g}tr1IiSt atmidlt j 0~lnlvej NOTICE TO SHIPMASTERS. Just published, Massachusetts Bay. OFFICE OF THE BOARD OF UNIERVWRITERS New- York, March 20th, 1858. There is reason to believe that disasters to vessels have recently occurred on the Southern Coast of the United States, in consequence of the use of old and incorrect CHARTS. This Board would earnestly impress upon Shipmasters the great importance of being provided with those that are of recent date and from a reliable source. BLUNTRs CHARTS of the Coast of the United States are corrected in conformity with the Government Surveys, and have accurately laid down the position of all the Lights now in use, or in process of construction on our coast, and these Charts should be familiar to every Shlpmaster in the trade. ELLWOOD WALTER, Secretary Board of Underwriters Extract of a letter from Lieut. John Rodgers, commanding U. S. Ship "Hancock," attached to the Surveying Expedition to the China I eas, North Pacific. New-Bedford, January 4th, 1852. I had a long discussion on Charts of the extreme North Pacific, Behring's Straits, Sea of Okotsk, &c.- All the Whalers say that you are right. COMPASSES.-Attention is invited to the new Compasses constructed at the establishment of the subscribers. It is a fact now well understood, that most of the losses charged to Currents are due to the imperfect construction of Compasses, and to theirdeviation not being ascertained. Compasses of a superior qumality, are manufactured by them, and are constantly on hand. Also, Dent's Patent and other approved Compasses. E. & G. W. BLUNT. Agents for Rogers' Signals.-Office of the Marine Register or American Lloyds. Yovemer, 186(0