UC-NRLF B 4 111 023 >ix Place mMmmm 1 : ARI RSI L L:Si WELLS'S MATHEMATICAL SERIES. Academic Arithmetic. First Course in Algebra. Algebra for Secondary Schools. Text-Book in Algebra. Essentials of Algebra. Academic Algebra. New Higher Algebra. University Algebra. College Algebra. Advanced Course in Algebra. New Plane and Solid Geometry. Essentials of Plane and Solid Geometry. Complete Trigonometry. New Plane Trigonometry. New Plane and Spherical Trigonometry. Four- Place Logarithmic Tables. Six-Place Logarithmic Tables. D. C. HEATH & CO.. Publishers. SIX PLACE LOGARITHMIC TABLES, TOGETHER WITH ▲ TABLE OF NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. PREPARED BY WEBSTER WELLS, S.B., professor of mathematics in the massachusetts Institute of Technology. U^ ' D. 0. HEATH AND COMPANY BOSTON NEW YORK CHICAGO ATLANTA DALLAS SAN FRANCISCO LONDON A-5- I - • COPYB'GHT, 1891. Et WEBSTER WELL?, Priuted in U. S. A. INTRODUCTION. I. USE OP THE TABLE OF LOGARITHMS OF NUMBERS. This table (pages 2 to 16) gives the mantissae of the logarithms of all numbers of four figures from 1000 to 10000, calculated to six places of decimals. To find the logarithm of any number of four figures. Find in the column N. the first three figures of the given number. Then the required mantissa will be found in the corresponding horizontal line, in the vertical column headed by the fourth figure of the number. If only the last four figures of the mantissa are found, the first two may be obtained from the nearest mantissa above, in the same column, which contains six figures. Finally, prefix the proper characteristic. For example, log 140.8 = 2.148603 ; log .05837 = 8.766190 - 10. For numbers of one, two, or three figures, the column headed may be used ; for log 167 has the same mantissa as log 1670, log 8.3 the same mantissa as log 8300, and log .9 the same mantissa as log 9000 ; thus, log 167 = 2.222716, log 8.3 = 0.919078, and log .9 = 9.954243 - 10. To find the logarithm of a number of more than four figures. Required the logarithm of 3296.78. We find from the table, log 3296 = 3.517987 ; log 3297 = 3.518119. That is, an increase of one unit in the number produces an increase of .000132 in the logarithm. Then an increase of .78 of a unit in the number will produce an increase of .78 X .000132 in the logarithm, or .000103 to the nearest sixth decimal place. Whence, log 3296.78 = 3.517987 + .000103 = 3.518090. M37104 iv INTRODUCTION. Note I. The foregoing method is based on the assumption that the differences of logarithms are proportional to the differences of their corresponding numbers, which, though not strictly accurate, is sufficiently exact for practical purposes. Note II. The difference between any mantissa in the table and the mantissa of the next higher number of four figures, is called the tabular difference. The following rule is derived from the above : Find from the table the mantissa of the first four significant figures, and the tabular difference. (See Note III.) Multiply the latter by the remaining figures of the number with a decimal point before them. (See Note IV.) Add the result to the mantissa of the first four figures, and prefix the proper characteristic. Example. Find the logarithm of .002243076. Mantissa of 2243 = 350829 15 Tabular difference = 194 .076 350844 Result, 7.350844 - 10. 1164 13 58 Correction = 14.744 = 15, nearly. Note III. The tabular difference may be conveniently found as follows : Subtract the last figure of the mantissa from the last figure of the next greater, and then take the nearest integer, ending in that figure, to the number in the column D. in the same line. Thus, in the above example, the last figure of the mantissa of 2243 is 9, and of the next greater mantissa, 3 ; 9 from 13 leaves 4, and the nearest integer, ending in 4, to 193, the number in the column D., is 194, the proper tabular difference. Note IV. In finding the correction to the nearest unit's figure, the decimal por- tion may be omitted provided that, if it is equal to or greater than .5, the unit's figure is increased by 1. Thus, 13.26 would be taken as 13 ; 30.5 as 31 ; and 22.803 as 23. To find the number corresponding to a logarithm. 1. Required the number whose logarithm is 1.693551. Find in the table the mantissa 693551. In the corresponding line, in the column N., we find 493, the first three figures of the required number, and at the head of the column we find 8, the fourth figure. Since the characteristic is 1, there must be two figures to the left of the decimal point. Whence, number corresponding to 1.693551 = 49.38. INTRODUCTION. V 2. Required the number whose logarithm is 3.950185. We find in the table the mantissa 950170, whose corresponding num- ber is 8916, and the mantissa 950219, whose corresponding number is 8917. That is, an increase of 49 in the mantissa produces an increase of one unit in the number corresponding. Then an increase of 15 in the mantissa will produce an increase of — 49 of a unit in the number corresponding, or .31 nearly. Whence, number corresponding = 8916 -f .31 = 8916.31. The following rule is derived from the above : Find from the table the next less mantissa, the four figures corresponding, and the tabular difference. (See Note III.) Subtract the next less mantissa from the given mantissa, and divide the remainder by the tabular difference. (See Note VI.) Annex the quotient to the first four figures of the number, and point off the residt. (See Note V.) Note V. The rules for pointing off are the reverse of the rules for characteristic ; they may be stated as follows : I. If — 10 is not written after the mantissa, add 1 to the characteristic, giving the number of places to the left of the decimal point. II. If — 10 is written after the mantissa, subtract the positive part of the character- istic from 9, giving the number of ciphers to be placed between the decimal point and first significant figure. Example. Find the number whose logarithm is 7.427662 — 10. 427662 Next less mantissa = 427648 ; four figures corresponding = 2677. Tabular difference = 163)14.000(.085 = .09, nearly. 13 04 960 Result, .00267709. Note VI. The correction can usually be depended upon to two decimal places ; the division should be carried out to three decimal places in order to determine the last figure accurately. (See Note IV.) II. USE OF THE TABLE OF LOGARITHMIC SINES, COSINES, ETC. This table (pages 18 to 62) gives the logarithms of the sines, cosines, tangents, and cotangents of all angles at intervals of one minute from 0° to 90°. vi INTRODUCTION. For angles between 0° and 45°, the degrees will be found at the top of the page, the minutes in the left-hand column, and the functions in the columns designated by the names at the top ; that is, sines in the first column, cosines in the second, tangents in the third, and cotangents in the fourth. For angles between 45° and 90°, the degrees will be found at the foot of the page, the minutes in the right-hand column, and the functions in the columns designated by the names at the foot; that is, cosines in the first column, sines in the second, cotangents in the third, and tangents in the fourth. The sines and cosines of all acute angles, the tangents of angles between 0° and 45°, and the cotangents of angles between 45° and 90°, being less than unity, the characteristics of their logarithms have been increased by 10, and — 10 must be written after their mantissse ; in all other cases, the true value of the characteristic is given in the table. Thus, log sin 38° 37 ' = 9. 795259 - 10 ; log tan 66° 20' = 0.358253 ; log cot 79° 3' = 9.286624 - 10 ; log cos 85° 51' = 8.859546 - 10. To find the logarithmic sine, cosine, tangent, or cotangent of any acute angle expressed in degrees, minutes, and seconds. Find from the table the logarithmic sine, cosine, tangent, or cotangent of the degrees and minutes, and the difference for 1" corresponding. (See Note VII. below.) Multiply this difference by the number of seconds. (See Note IV.) If sine or tangent, add \ ^ correction . If cosine or cotangent, subtract ) Note VII. The columns immediately to the right of those headed "Sin.," "Cos.," and "Tan.," contain the respective differences for 1" ; the right-hand column of differences is also to be used with the column headed " Cot." It will be observed that the differences do not stand in the same horizontal line with the logarithms, but opposite the intervals between consecutive logarithms. With the degrees at the top of the page, the difference next below should be taken ; with the degrees at the foot of the page, the difference next above. Note VIII. The rule given above assumes that the differences of the logarithmic functions are proportional to the differences of their corresponding angles, which, unless the angle is very near to 0° or 90°, is in general sufficiently exact for practical purposes. (See page x.) INTRODUCTION. 1. Find logtanl7°13'51". log tan 17° 13' = 9.491180 - 10 D. 1" = 7.45 380 51 Result, 9.491560 - 10 379.95 = 380, nearly. 2. Find log cos 66° 38' 23". log cos 66° 38' = 9.598368 - 10 D. 1" = 4.88 112 23 Result, 9.598256 - 10 14 64 97 6 112.24 = 112, nearly. To find the acute angle corresponding to a given logarithmic sine, cosine, tangent, or cotangent. Take from the table, if sine or tangent, the next less, if cosine or cotangent, the next greater, logarithmic function, the degrees and minutes corresponding, and the difference for 1". (See Note IX. below.) Find the difference between the given logarithm and that taken from the table, and divide it by the difference for 1", giving the correction in seconds. Add the result to the degrees and minutes. Note IX. In searching for the next less (or greater) logarithm, attention must be paid to the fact that the functions are found in different columns according as the angle is below or above 45°. If, for example, the next less logarithmic sine is found in the column with " Sin." at the top, the degrees must be taken from the top of the page, and the minutes from the left-hand column; but if it is found in the column with "Sin." at the foot, the degrees must be taken from the foot of the page, and the minutes from the right-hand column. Similar considerations hold with respect to the other three functions. 1. Find the angle whose log sin = 9.959345 — 10. 9.959345 - 10 Next less log sin = 9.959310 — 10 ; angle corresponding = 65° 35 f . D. 1" = .97)35 (36.08 = 36.1, nearly. 291 "590 582 Result, 65° 35' 36.1". 800 i INTRODUCTION. 2. Find the angle whose log cot = 0.169602. Next greater log cot = 0.169651 ; angle corresponding = 34° 5'. 0.169602 D. 1" = 4.53)49(10.81 = 10.8, nearly. 453 3700 3624 Result, 34° 5' 10.8". 760 Note X. In finding the logarithmic sine of an angle between 85° and 90°, or the logarithmic cosine of an angle between 0° and 5°, it is better to obtain the correction by multiplying the difference between the next less and next greater logarithms by the number of seconds, and dividing the result by 60. In finding the angle corresponding in the same cases, the correction in seconds may be obtained by multiplying the difference between the given logarithm and that taken from the table by 60, and dividing the result by the difference between the next less and next greater logarithms. To find the logarithmic secant or cosecant of any acute angle. Since sec x = and esc x = — — , we have cos x sin x log sec x = colog cos x, and log esc x = colog sin x. Hence, to find the logarithmic secant, subtract the logarithmic cosine from 10 — 10 ; and to find the logarithmic cosecant, subtract the logarithmic sine from 10 - 10. Example. Find log sec 22° 38'. From the table, we find log cos 22° 38' = 9.965195 - 10. Subtracting from 10 - 10, log sec 22° 38' = 0.034805. Note XI. The logarithmic cotangent of an angle may be obtained by subtracting the logarithmic tangent from 10 — 10. To find the logarithmic functions of an angle not lying between the limits 0° and 90°. Any function of any angle may be expressed as a function of a certain acute angle ; and hence the table of functions of acute angles serves to determine the functions of angles of any magnitude whatever, positive or negative. Let it be required, for example, to find log sin 152° 16'. We have, sin 152° 16' = sin (90° + 62° 16') = cos 62° 16'. INTRODUCTION. ix Whence, log sin 152° 16' = log cos 62° 16' = 9.667786 - 10. Or we may proceed as follows : sin 152° 16' = sin (180° - 27° 44*) = sin 27° 44'. Note XII. If the natural function is negative, as for example in the case of the cosine of an angle between 90° and 180°, there is no logarithmic function, strictly speaking. In the solution of examples involving such functions, we may proceed as if the functions were positive, and determine the algebraic sign of the result irrespective of the logarithmic work. m. USE OF THE TABLE OF NATURAL SINES, COSINES, ETC. This table (pages 64 to 78) gives the natural values of the sines, cosines, tangents, and cotangents of all angles at intervals of 1' from 0° to 90°, calculated for sines, cosines, and tangents to five places of deci- mals, and for cotangents to five significant figures. Its use is similar to that of the table of logarithmic functions, except that the tabular differences for 1" are not given, but are to be calculated from the table when required. 1. Required tan 41° 27' 14". tan 41° 27' = .88317- The difference between this and tan 41° 28' is 52. Correction for 14" = — x 52 = 12, nearly. 60 ' J .88317 12 Kesult, .88329 2. Required the angle whose cos = .45854. Next greater cos = .45865 ; angle corresponding = 62° 42 r . .45854 11 The difference between cos 62° 42' and cos 62° 43' is 26. Correction in seconds = — X 60 = 25.4, nearly. 26 Result, 62° 42' 25.4". Note XIII. To find a natural function to a greater degree of accuracy than is possible from the table of natural functions, we may find the logarithmic function of the angle, and take the number corresponding to the result. INTRODUCTION. IV. USE OF THE AUXILIARY TABLE FOR SMALL ANGLES. This table (page 79) gives the values of the expressions 10 + log sin x — log x and 10 + log tan x — log x, x being expressed in seconds, for all angles at intervals of 1' from 0° to 4° 59'. It may be used to find the logarithmic sines or tangents of angles between 0° and 5°, or the angles corresponding in the same cases, to a greater degree of accuracy than is possible from the table of logarithmic functions. (See Note VIII.) To find the logarithmic sine or tangent of an angle between 0° and 5°. Find from the auxiliary table the logarithm corresponding to the given function, add to the result the logarithm of the number of seconds in the angle, and write — 10 after the mantissa. Example. Find log tan 0° 43' 37". The logarithms corresponding to tan 0°43' and tan 0° 44' are 4.685597 and 4.685599 ; the difference between which is 2. Q7 Correction for 37" = -x2 = l, nearly. 60 J Adding to 4.685597, the result is 4.685598. The given angle, reduced to seconds, is 2617". 4.685598 - 10 log 2617 = 3.417804 Eesult, 8.103402 - 10 This is correct to the sixth place of decimals ; the result by the table of logarithmic tangents is 8.103375 — 10. To find the angle corresponding to a given logarithmic sine or tangent, when between 0° and 5°. Find from the table of logarithmic functions the angle corresponding to the given logarithm, to the nearest second. Take from the auxiliary table the logarithm corresponding to this angle. Subtract the result from the given logarithm, and find the number corre- sponding to the difference, giving the required angle in seconds. Example. Find the angle whose log sin = 7.632366 — 10. The angle corresponding is 0° 14' 45", to the nearest second. INTRODUCTION. The logarithm corresponding to sin 0° 14' 45" is 4.685573 — 10. 7.632366 - 10 4.685573 - 10 2.946793 The number corresponding to this logarithm is 884.69. Then the required angle is 884.69", or 0° 14' 44.69". This is correct to the second decimal place of seconds ; the result by the table of logarithmic sines is 0° 14' 45.08". Note XIV. The above methods serve to determine with accuracy the logarithmic cosine or cotangent of an angle between 85° and 90°, or the angle corresponding in the To find accurately the logarithmic tangent of an angle between 85° and 90°, find the logarithmic cotangent of the angle as above, and subtract the result from 10 — 10. (Note XL) To find the angle corresponding to a logarithmic tangent in the same case, find the logarithmic cotangent of the angle (Note XL), and find the angle corresponding to the result. These methods also serve to determine the logarithmic cotangent of an angle between 0° and 5°, or the angle corresponding in the same case. A TABLE CONTAINING THE LOGARITHMS OF NUMBERS FROM 1 TO 10,000. LOGARITHMS OF NUMBERS. N. 1 2 3 4 5 6 7 8 9 D. IOO 000000 000434 000868 00 1301 001734 00 2166 00 2598 003029 003461 003891 432 IOI 4321 4751 5181 5609 6038 6466 6894 7321 7748 8174 428 102 8600 9026 945 1 01 3680 9876 01 0300 01 0724 01 1 147 01 1570 01 1993 01 2415 424 I03 01 2837 01 3259 01 4100 4521 494o 5360 5779 6197 6616 420 IO4 7°33 7451 7868 8284 8700 9116 9532 9947 020361 02 0775 416 105 02 1 189 02 1603 02 2016 02 2428 02 2841 02 3252 02 3664 02 4075 024486 02 4896 412 IO6 53o6 5715 6125 6533 6942 735° 7757 8164 8571 1 8978 408 107 9384 9789 03 3826 030195 030600 03 1004 03 1408 03 1812 03 2216 03 2619 03 3021 404 108 03 3424 4227 4628 5029 543o 5830 6230 6629 7028 400 iog 7426 7825 8223 8620 9017 9414 981 1 04 0207 04 0602 040998 397 no 04 1393 04 1787 042182 042576 04 2969 04 3362 04 3755 044148 04 4540 044932 393 in 5323 5714 6105 6495 6885 7275 7664 8053 8442 8830 390 112 9218 9606 9993 05 0380 05 0766 05 1 153 05 1538 05 1924 05 2309 05 2694 386 "3 05 3078 05 3463 05 3846 4230 4613 4996 5378 9185 5760 6142 6524 383 114 6905 7286 7666 8046 8426 8805 9563 9942 06 0320 379 "5 06 0698 06 1075 06 1452 06 1829 06 2206 06 2582 06 2958 06 3333 06 3709 06 4083 37 6 116 4458 4832 5206 8928 558o 5953 6326 6699 7071 7443 7815 373 117 8186 8557 929S 9668 070038 07 0407 07 0776 07 "45 071514 37o 118 07 1882 07 2250 07 2617 07 2985 07 3352 37i8 4085 445 ' 4816 5182 366 119 5547 5912 6276 6640 7004 7368 7731 8094 8457 8819 363 120 079181 °7 9543 07 9904 08 0266 08 0626 08 0987 08 1347 08 1707 08 2067 08 2426 360 121 08 2785 083144 08 3503 3861 4219 4576 4934 5291 8845 5647 6004 357 122 6360 6716 7071 7426 7781 8136 8490 9198 9552 355 123 9905 09 0258 09 061 1 09 0963 091315 09 1667 092018 09 2370 09 2721 09 3071 352 124 09 3422 3772 4122 4471 4820 5169 5518 5866 6215 6562 349 "5 09 6910 097257 09 7604 097951 09 8298 09 8644 09 8990 09 9335 09 9681 100026 346 126 10 0371 100715 10 1059 10 1403 10 1747 10 2091 10 2434 102777 103119 3462 343 127 3804 4146 4487 4828 5169 55io 8903 5851 6191 6531 6871 34i 128 7210 7549 7S88 8227 8565 9241 9579 99i6 11 0253 338 129 1 i 0590 11 0926 n 1263 11 1599 11 1934 n 2270 1 1 2605 n 2940 11 3275 3609 335 130 "3943 n 4277 11 461 1 1 1 4944 11 5278 n 5611 8926 11 5943 11 6276 11 6608 1 1 6940 333 131 7271 • 7603 7934 8265 8595 9256 9586 9915 12 3198 120245 330 132 120574 1 2 0903 12 1231 12 1560 12 1888 12 2216 122544 12 2871 3525 328 133 3852 4178 4504 4830 5156 8399 548i 5806 6131 6456 6781 325 134 7105 7429 7753 8076 8722 9045 9368 9690 130012 323 135 13 0334 130655 3858 130977 13 1298 131619 13 1939 13 2260 132580 13 2900 13 3219 321 136 3539 4177 4496 4814 §133 §303 8618 5769 6086 6403 3i8 137 6721 7037 7354 7671 7987 8934 9249 9564 3i6 138 9879 14 0194 140508 140822 141136 14 1450 14 1763 14 2076 14 2389 142702 3i4 139 14 3015 3327 3639 395 1 4263 4574 4885 5196 5507 5818 3" 140 14 6128 14 6438 14 6748 14 7058 14 7367 147676 14 7985 148294 14 8603 14 891 1 309 141 9219 9527 9835 15 0142 15 0449 150756 15 1063 15 1370 15 1676 15 1982 307 142 15 2288 15 2594 15 2900 3205 35io 3815 4120 4424 4728 5032 8061 305 143 5336 5640 8664 5943 6246 6549 6852 7154 7457 7759 303 144 8362 8965 9266 9567 9868 16 0168 160469 160769 16 1068 301 145 16 1368 16 1667 16 1967 162266 16 2564 162863 163161 163460 163758 164055 299 146 4353 4650 4947 5244 8203 554i 8497 5838 6i34 6430 6726 7022 297 147 7317 7613 7908 8792 9086 9380 9674 9968 295 148 170262 I 7°555 170848 171141 17 1434 17 1726 17 2019 172311 172603 172895 293 149 3186 3478 3769 4060 435i 4641 4932 5222 5512 5802 291 150 17 6091 17 6381 1 7 6670 176959 177248 17 7536 177825 178113 17 8401 178689 289 151 o 8 2 77 9264 9552 9839 180126 180413 1 8 0699 180986 18 1272 18 1558 287 152 18 1844 18 2129 18 2415 182700 2985 3270 3555 3839 4123 4407 285 153 4691 4975 52S9 5542 5825 8647 6108 6391 6674 6956 7239 283 154 7521 7803 8084 8366 8928 9209 9490 9771 19 0051 281 155 190332 19 0612 190892 191171 191451 19 1730 19 2010 19 2289 192567 19 2846 279 156 3125 3403 3681 3959 4237 45*4 4792 5069 5346 5623 8382 278 157 5900 8657 6176 6453 6729 7005 7281 7556 7832 8107 276 158 8932 9206 9481 9755 200029 200303 200577 20 0850 20 1 1 24 274 159 20 1397 20 1670 20 1943 20 2216 20 2488 2761 3033 3305 3577 384S 272 N. 1 2 3 4 5 6 7 8 9 D. LOGARITHMS OF NUMBERS. N. 160 1 2 3 4 5 6 7 8 9 D. 204120 204391 20 4663 20 4934 20 5 204 20 5475 20 5746 206016 20 6286 20 6556 271 161 6826 7096 7365 7634 7904 8173 8441 8710 8979 9247 269 162 163 9515 81 2188 9783 21 2454 21 0051 2720 21 0319 2986 21 0586 3252 21 0853 3518 21 1121 3783 21 1388 21 1654 21 1921 4579 267 266 4049 4314 164 4844 5IO9 5373 5638 5902 6166 6430 6694 6957 7221 264 165 21 7484 21 7747 21 8010 21 8273 21 8536 21 8798 21 9060 21 9323 21 9585 21 9846 262 166 22 0I08 22 O37O 220631 22 0892 221153 22 I4I4 22 1675 22 1936 22 2196 22 2456 261 167 2716 2976 3236 3496 3755 40I5 4274 4533 4792 5°5 * 259 168 5309 5568 8144 5826 6084 6342 660O 6858 7"5 7372 7630 258 169 7887 8400 8657 8913 917O 9426 9682 9938 230193 256 170 23 O449 23 O704 23 0960 231215 23 1470 23 I7 2 4 23 1979 23 2234 23 2488 23 2742 255 171 2996 3250 3504 3757 401 1 4264 4517 477° 5023 5276 253 172 5528 5781 6033 6285 6 537 6789 7041 7292 7544 7795 252 173 8046 8297 8548 8799 9049 9299 955° 9800 24 0050 24 0300 250 174 24 O549 240799 24 1048 24 1297 24 1546 24*795 24 2044 24 2293 2541 2790 249 175 176 24 3038 5513 24 3286 5759 24 3534 6006 24 3782 24 4030 244277 6745 24 4525 6991 24 4772 7237 245019 7482 245266 7728 248 246 6252 6499 177 7973 8219 8464 8709 8954 9198 9443 9687 9932 250176 245 178 25 0420 25 0664 25 0908 251151 25 1395 25 1638 25 1881 25 2125 25 2368 2610 243 179 2853 3096 3338 358o 3822 4064 4306 4548 4790 5031 242 180 25 5273 25 55H 25 5755 25 5996 25 6237 25 6477 25 6718 25 6958 25 7198 25 7439 241 181 7679 7918 8158 8398 8637 8877 9116 9355 9594 9833 239 182 260071 260310 260548 260787 26 1025 26 1263 26 1501 .261739 26 1976 262214 238 183 2451 2688 2925 3162 3399 3636 3873 4109 4346 4582 237 184 4818 5054 5290 5525 576i 5996 6232 6467 6702 6937 235 185 26 7172 26 7406 26 7641 26 7875 26 81 10 26 8344 268578 268812 269046 26 9279 234 186 9513 9746 9980 270213 27 0446 270679 27 0912 27 "44 27 1377 27 1609 233 187 27 1842 27 2074 27 2306 2538 2770 3001 3233 3464 3696 3927 232 188 4158 4389 4620 4850 5081 53" 5542 5772 6002 6232 230 i8g 6462 6692 6921 7I5 1 738o 7609 7838 8067 8296 8525 229 190 27 8754 27 8982 279211 27 9439 27 9667 27 9895 280123 280351 280578 28 0806 228 191 28 1033 28 1261 28 1488 28 1715 28 1942 282169 2396 2622 2849 3075 227 192 33oi 3527 3753 3979 4205 443i 4656 4882 5 IQ 7 5332 226 193 5557 5782 8026 6007 6232 6456 6681 6905 7 J 3o 7354 7578 225 194 7S02 8249 8473 8696 8920 9H3 9366 9589 9812 223 195 29 0035 290257 29 0480 29 0702 29 0925 29 "47 29 1369 29 1591 291813 29 2034 222 196 2256 2478 2699 2920 3141 3363 3584 3804 4025 4246 221 197 4466 4687 4907 5'27 5347 5567 5787 6007 6226 6446 220 198 6665 6884 7104 7323 7542 7761 7979 8198 8416 8635 219 199 8853 9071 9289 9507 9725 9943 300161 30 0378 30 0595 300813 218 200 30 1030 301247 30 1464 30 1681 30 1898 30 21 14 302331 30 2547 30 2764 30 2980 217 201 3196 3412 3628 3844 4059 4275 4491 4706 4921 5 X 36 216 202 535i 5566 578i 5996 621 1 6425 6639 6854 7068 7282 2I 5 203 7496 7710 7924 8137 835i 8564 8778 8991 9204 9417 213 204 9630 9843 31 0056 31 0268 31 0481 31 0693 31 0906 311118 31 1330 3i 1542 212 205 3i 1754 31 1966 3i 2177 3i 2389 31 2600 31 2812 31 3023 3i 3234 3 1 3445 3i 3656 211 206 3867 4078 4289 4499 4710 4920 5 x 3o 5340 555 1 5760 210 207 597o 6180 6390 6599 6809 7018 7227 7436 7646 7854 209 208 8063 8272 8481 8689 8898 9106 93H 9522 973° 9938 208 209 320146 32 0354 320562 320769 320977 32 1 184 321391 32 1598 32 1805 32 2012 207 210 322219 32 2426 32 2633 32 2839 32 3046 323252 32 3458 32 3665 323871 32 4077 206 211 4282 4488 4694 4899 5105 53io 55i6 572i 5926 6131 205 212 6336 6541 6745 69 so 7155 7359 75 6 3 7767 7972 8176 204 213 8380 8583 8787 8991 9194 9398 9601 9805 33 000S 33 021 1 203 214 330414 330617 33 0S19 33 IQ 22 331225 33 1427 33 1630 33 1832 2034 2236 202 215 33 2438 33 2640 33 2842 33 3044 33 3246 33 3447 33 3649 33 3850 334051 33 4253 202 216 4454 4655 4856 5057 5257 5458 5^8 5859 6059 6260 20 1 217 6460 6660 6860 7060 7260 7459 7659 7858 8058 8257 200 218 8456 8656 8855 9054 9253 945 1 9650 9849 340047 34 0246 199 219 34 0444 34 0642 34 0841 34 1039 34 1237 34 1435 34 1632 34 1830 2028 2225 198 N. 1 2 3 4 5 6 7 8 9 D. LOGARITHMS OF NUMBERS. N. 1 2 3 4 5 6 7 8 9 D. 220 34 2423 34 2620 342817 34 30H 343212 34 3409 343606 34 3802 34 3999 344196 197 221 4392 4589 4785 4981 5178 5374 557o 5766 5962 6l 57 196 222 6353 6549 6744 6939 7i35 7330 7525 7720 7915 8110 195 223 8305 8500 8694 8889 9083 9278 9472 9666 9860 35 oo54 194 224 35 0248 350442 35 o6 36 35 o82 9 35 ^23 35 1216 35 1410 35 i6o3 35 1796 1989 193 325 35 2l8 3 35 2 375 35 2568 35 2761 35 2954 35 3i47 35 3339 35 3532 35 3724 35 39i6 193 226 4108 4301 4493 4685 4876 5068 5260 5452 5 6 43 5834 192 227 6026 6217 6408 6599 6790 6981 7172 7363 7554 7744 191 228 7935 8125 8316 8506 8696 8886 9076 9266 9456 9646 190 229 9835 360025 360215 36 0404 36 0593 36 0783 36 0972 36 1 161 36 1350 36 1539 189 230 361728 361917 362105 36 2294 36 2482 36 2671 36 2859 36 3048 36 3236 36 3424 1 88 231 3612 3800 3988 4176 4363 455i 4739 4926 5"3 53oi 188 232 5488 5 6 75 5862 6049 6236 6423 6610 6796 6983 7169 187 233 7356 7542 7729 7915 8101 8287 8473 8659 8845 9030 1S6 234 9216 9401 9587 9772 9958 37 0143 37 0328 37 0513 37 o 6 98 370S83 1S5 235 37 Io68 37 1253 37 1437 37 1622 37 l8 ° 6 37 i99i 37 2175 37 2360 37 2544 37 2728 184 236 2912 3096 3280 3464 3647 3831 4015 4198 4382 45 6 5 1S4 237 4748 4932 5"5 5298 548i 5664 5846 6029 6212 6394 183 238 239 6 577 8398 6759 8580 6942 8761 7124 8943 7306 9124 7488 9306 7670 9487 7852 8034 8216 3S 0030 182 181 966S 9849 240 38 021 1 38 0392 380573 380754 38 0934 381115 38 1296 38 1476 381656 38 1S37 181 241 2017 2197 2377 2557 2737 2917 3097 3277 3456 3636 180 242 3815 3995 4174 4353 4533 4712 4891 5070 5249 5428 179 243 5606 5785 5964 6142 6321 6499 6677 6856 7034 7212 •178 244 7390 7568 7746 7923 8101 8279 8456 8634 881 1 8989 178 245 389166 38 9343 38 9520 38 9698 38 9875 390051 39 0228 39 0405 39 0582 39 0759 177 246 39 0935 39"i2 39 1288 39 1464 39 it>4» 1817 1993 2169 2345 2521 170 247 2697 2873 3048 3224 3400 3575 375i 3926 4101 4277 176 248 4452 4627 4802 4977 5152 5326 550i 5676 5850 6025 175 249 6199 6374 6548 6722 6896 7071 7245 7419 7592 7766 J 74 250 39 7940 39 81 14 39 8287 39 8461 39 8634 39 8808 39 8981 39 9154 39 9328 39 95°i 173 251 9674 9847 40 0020 400192 40 0365 40 05 3S 40 071 1 40 0883 40 1056 40 1228 ■73 252 40 1401 40 1573 1745 1917 2089 2261 2433 2605 2777 2949 172 253 3121 3292 3464 3635 3807 3978 4149 4320 4492 4663 1 7 1 254 4834 5005 5176 5346 5517 5688 5858 6029 6199 6370 171 255 40 6540 406710 406881 407051 40 7221 40 739i 40 75 6 i 40 7731 40 7901 40 So 70 170 256 8240 8410 8579 8749 8918 9087 9257 9426 9595 9764 169 257 9933 41 0102 41 0271 41 0440 41 0609 41 0777 41 0946 41 1114 41 1283 41 H5 1 169 258 41 1620 1788 I95 6 2124 2293 2461 2629 2796 2964 3132 168 259 3300 3467 3635 3803 397° 4i37 4305 4472 4639 4S06 167 260 41 4973 41 5140 4i 5307 41 5474 41 5 6 4i 41 5808 41 5974 41 6141 41 6308 41 6474 167 26l 6641 6807 6973 7139 7306 7472 7638 7804 7970 8i35 160 262 8301 8467 8633 8798 8964 9129 9295 9460 9625 9791 165 263 9956 420121 42 0286 420451 420616 420781 42 0945 42 mo 421275 42 1439 165 264 42-1604 1768 1933 2097 2261 2426 2590 2754 2918 3082 164 265 42 3246 42 3410 42 3574 42 3737 42 3901 42 4065 42 4228 42 4392 424555:424718 164 266 4882 5°45 5208 5371 5534 5 6 97 5860 6023 6186 1 6349 163 267 651 1 6674 6836 6999 7.61 7324 7486 7648 781 1 7973 162 268 8i35 8297 8459 ■ 8621 8783 8944 9106 9268 9429 959i 162 269 9752 9914 430075 43 0236 43 0398 43 0559 43 0720 430881 43 1042 1 43 1203 161 270 43 1364 43 1525 43 1685 43 1846 432007 432167 43 2328 43 2488 43 2649 43 2809 161 271 2969 3I30 3290 345° 3610 377o 3930 4090 4249 4409 160 27a 4569 4729 4888 5048 5 2 °7 5367 5526 5685 5844 6004 159 273 6163 6322 6481 6640 6799 6957 7116 7275 7433 7592 15 t 274 775 1 7909 8067 8226 8384 8542 8701 8859 9017 9175 158 275 43 9333 43 9491 43 9648 43 9806 43 9964 440122 440279 440437 440594 440752 158 276 440909 44 1066 441224 44 1 381 44 1538 1695 1852 2009 2166 2323 157 277 2480 2637 2793 2950 3106 3263 3419 3576 3732 3889 157 278 4045 4201 4357 4513 4669 4825 4981 5137 5293 5449 156 ^ 279 5604 5760 5915 6071 6226 6382 6537 6692 6848 7003 155 J N. 1 2 3 4 5 6 7 8 9 D. ■; LOGARITHMS OF NUMBERS. t N. 1 2 3 4 5 6 7 8 9 D. 280 447158 44 7313 44746S 447623 44 7778 44 7933 44 80S8 448242 448397 448552 i55 281 8706 8861 9015 9170 9324 9478 9633 9787 9941 45 0095 '54 282 45 ° 2 49 45 0403 45 0557 45 071 1 45 0865 45 1018 45 "72 45 1326 45 J 479 1633 *54 283 1786 1940 2093 2247 2400 2553 2706 2859 3012 3165 '53 284 33i8 347i 3624 3777 393o 4082 4235 4387 4540 4692 J 53 285 45 4845 45 4997 45 5 I 5° 45 5302 45 5454 45 5606 45 5758 45 59io 45 6062 45 6214 J 5 2 286 6366 6518 6670 6821 6973 7125 7276 7428 7579 773i '5 2 287 7882 8033 8184 8336 8487 8638 8789 8940 9091 9242 151 288 9392 9543 9694 9845 9995 460146 460296 460447 460597 46 0748 J 5i 28g 46 0898 46 1048 46 1 198 46 1348 46 1499 1649 1799 194S 2098 2248 !5 2go 46 2398 46 254S 46 2697 46 2847 46 2997 463146 46 3296 46 3445 46 3594 463744 150 291 3893 4042 4191 4340 4490 4639 4788 4936 5085 5234 149 292 5383 5532 5680 5829 5977 6126 6274 6423 657 1 6719 149 293 6868 7016 7164 73i2 7460 7608 775 6 7904 8052 8200 148 294 8347 8495 8643 8790 8938 9085 9233 938o 9527 9675 148 295 46 9822 46 9969 470116 470263 470410 47 0557 47 0704 470851 47 0998 47 » *45 147 296 47 1292 47 J 438 1585 1732 1878 2025 2171 2318 2464 2610 146 297 2756 2903 3049 3195 334i 3487 3633 3779 3925 4071 146 298 4216 4362 4508 4653 4799 4944 5090 5235 538i 5526 146 299 5671 5816 5962 6107 6252 . 6397 6542 6687 6832 6976 145 300 477121 47 7266 47 74" 47 7555 47 7700 47 7844 47 7989 47 8133 47 8278 47 8422 J 45 301 8566 871 1 8855 8999 9H3 9287 943i 9575 9719 9863 144 302 480007 48 01 5 1 48 0294 48 0438 480582 480725 48 0869 48 1012. 48 1 156 48 1299 144 303 1443 1586 1729 1872 2016 2159 2302 2445 2588 2731 143 304 2874 3016 3159 3302 3445 3587 3730 3872 4015 4157 J 43 305 484300 484442 484585 484727 48 4869 48 501 1 48 5^3 48 5295 48 5437 48 5579 142 306 57 21 5863 6005 6147 6289 6430 6572 6714 6855 6997 142 307 7138 7280 7421 75 6 3 7704 7845 7986 8127 8269 8410 141 308 855i 8692 8833 8974 91 14 9255 9396 9537 9677 9818 141 309 9958 490099 49 0239 49 0380 490520 49 0661 49 0801 490941 49 1081 49 1222 140 310 49 1362 49 I5°2 49 1642 491782 49 1922 49 2062 49 2201 49 2341 49 2481 49 2621 140 3" 2760 2900 3040 3179 33i9 3458 3597 3737 3876 4015 139 312 4155 4294 4433 4572 471 1 4850 49S9 5128 5267 5406 139 313 5544 5683 5822 5960 6099 6238 6376 6515 6653 6791 139 314 6930 706a 7206 7344 7483 7621 7759 ' 7897 8035 8i73 138 315 49 831 1 498448 49 8586 49 8724 49 8862 49 8999 49 9137 49 9275 499412 49 955° 138 316 9687 9824 9962 500099 500236 50 0374 50 ^o 1 50 0648 •500785 50 0922 137 317 50 1059 50 1 196 5° r 333 1470 1607 1744 1880 2017 2154 2291 137 3i8 2427 2564 2700 2837 2973 3109 3246 3382 35i8 3655 136 319 3791 3927 4063 4199 4335 447 1 4607 4743 4878 5014 136 320 5 5i50 50 5286 50 5421 50 5557 5° 5 6 93 50 5828 50 5964 50 6099 50 6234 50 6370 136 321 6505 6640 6776 691 1 7046 7181 7310 7451 7586 7721 J 35 322 7856 7991 8126 8260 8395 8530 8664 8799 8934 9068 r 35 323 9203 9337 9471 9606 9740 9874 51 0009 51 0143 510277 51 041 1 134 324 510545 51 0679 51 0813 5 io 947 51 1081 51 1215 1349 1482 1616 1750 134 325 51 1883 51 2017 5 I2I 5! 51 2284 51 2418 5 I2 55! 51 2684 51 2818 51 2951 51 3084 133 326 3218 335 1 3484 3617 375° 3883 4016 4149 4282 4415 133 327 4548 4681 4813 4946 5079 5211 5344 5476 5609 574i 133 328 5874 6006 6139 6271 6403 6535 6668 6800 6932 7064 132 329 7196 7328 7460 7592 7724 7855 7987 Si 19 8251 8382 132 33° 51 8514 51 8646 5 l8 777 51 8909 51 9040 519171 5 1 9303 5 1 9434 S 1 95 66 51 9697 131 33i 9828 9959 520090 520221 520353 520484 520615 520745 520876 52 1007 131 332 521138 52 1269 1400 1530 1661 1792 1922 2053 2183 2314 J 3 l 333 2444 2575 2705 2835 2966 3096 3226 3356 3486 3616 130 334 3746 3876 4006 4136 4266 4396 4526 4656 4785 4915 130 335 52 5045 52 5174 52 5304 5 2 5434 525563 5 2 5 6 93 52 5822 52 5951 52 6081 52 6210 129 336 6339 6469 6598 7888 6727 6856 6985 7114 7243 7372 V>°1 129 337 7630 7759 8016 8i45 8274 8402 8531 8660 8788 129 338 8917 9045 9174 9302 943o 9559 9687 9815 9943 530072 128 339 530200 530328 53 045 6 530584 530712 53 0840 530968 53 1096 53 1223 1351 128 N. 1 2 3 4 5 6 7 8 9 D. LOGARITHMS OF NUMBERS. N. 1 2 3 4 5 6 7 8 9 D. 340 53 1479 53 1607 53 1734 53 1S62 53 1990 532117 53 2245 532372 53 2500 53 2627 128 341 2754 2882 3009 3136 3264 339i 35i8 3645 3772 3899 127 342 4026 4i53 4280 4407 4534 4661 4787 4914 5041 5 l6 7 127 343 5 2 94 542i 5547 5674 5800 5927 6053 6180 6306 6432 126 344 6558 6685 681 1 6937 7063 7189 7315 7441 7567 7693 126 345 53 78i9 53 7945 538071 53 8i97 538322 538448 53 8574 53 8699 53 8825 538951 126 346 9076 9202 9327 945 2 9578 9703 9829 9954 540079 54 0204 I2 5 347 540329 54 0455 540580 540705 540830 540955 54 1080 541205 1330 1454 !25 348 1579 1704 1829 1953 2078 2203 2327 2452 2576 2701 I2 5 349 2825 2950 3074 3*99 3323 3447 357i 3696 3820 3944 124 350 54 4068 544192 5443i6 544440 54 4564 5802 54 4688 544812 54 4936 54 5060 54 5^3 124 351 5307 543i 5555 5678 5925 6049 6172 6296 6419 124 352 6543 6666 6789 6913 7036 . 7159 7282 7405 7529 7652 123 353 7775 7898 8021 8144 8267 8389 8512 8635 8758 8881 123 354 9003 9126 9249 937i 9494 9616 9739 9861 9984 55 0106 123 355 55 0228 55 035 1 55 °473 55 0595 55 0717 55 0840 55 0962 55 IQ 84 55 I2 o6 55 1328 122 356 1450 1572 1694 1816 1938 2060 2181 2303 2425 2547 122 357 2668 2790 291 1 3033 3155 3276 3398 35*9 3640 3762 121 358 3883 4004 4126 4247 4368 4489 4610 4731 4852 4973 121 359 5094 5215 5336 5457 5578 5699 5820 5940 6061 6182 121 360 55 6303 55 6 423 55 6 544 55 6664 55 6785 55 6905 55 7026 55 7H6 55 7267 55 7387 I20 361 7507 7627 7748 7868 7988 8108 8228 8349 8469 8589 I20 362 8709 8829 8948 9068 9188 9308 9428 9548 9667 9787 I20 363 9907 56 0026 560146 56 0265 56 0385 560504 560624 56 0743 56 0863 56 0982 II 9 364 56 IIOI 1221 '340 1459 1578 1698 1817 1936 2055 2174 "9 365 56 2293 56 2412 562531 56 2650 56 2769 562887 563006 563125 56 3244 S 6 3362 "9 366 348i 3600 37i8 3837 3955 4074 4192 43" 4429 4548 "9 367 4666 4784 4903 5021 5U9 5257 5376 5494 5612 5730 Il8 368 5848 5966 6084 6202 6320 6437 6555 6673 6791 6909 Il8 369 7026 7 J 44 7262 7379 7497 7614 7732 7849 7967 8084 Il8 370 56 8202 568319 56 8436 568554 568671 568788 56 8905 569023 569140 569257 117 37i 9374 9491 9608 9725 9842 9959 57 0076 570193 57 0309 57 0426 II 7 372 57°543 57 0660 570776 57 893 571010 571126 1243 1359 1476 1592 "7 373 1709 1825 1942 2058 2174 2291 2407 2523 2639 2 755 116 374 2872 2988 3104 3220 3336 3452 3568 3684 3800 3915 116 375 57 4031 57 4147 574263 57 4379 57 4494 574610 57 4726 57 4841 57 4957 57 5072 116 376 5188 5303 54i9 5534 5650 5765 5880 5996 6111 6226 "5 377 6341 6 457 6572 6687 6802 6917 7032 7H7 7262 7377 "5 378 7492 7607 7722 7836 795 » 8066 8181 8295 8410 8525 "5 379 8639 8754 8868 8983 9097 9212 9326 9441 9555 9669 114 380 57 9784 579898 580012 580126 580241 580355 58 0469 580583 58 0697 58 081 1 "4 381 580925 58 1039 "53 1267 1381 1495 1608 1722 1836 1950 114 382 2063 2177 2291 2404 2518 2631 2 745 2858 2972 3085 "4 383 3199 3312 3426 3539 3652 3765 3879 3992 4105 4218 "3 384 433i /],-]/] /| 4557 4670 4783 4896 5009 5122 5235 5348 "3 385 585461 58 5574 58 5686 58 5799 585912 586024 586137 58 6250 58 6362 58 6475 "3 386 6587 6700 6812 6925 7037 7H9 7262 7374 7486 7599 112 387 7711 7823 7935 8047 8160 8272 8384 8496 8608 8720 112 388 8832 8944 9056 9167 9279 939i 9503 9615 9726 9838 112 389 9950 590061 590173 59 0284 59 0396 59 0507 590619 59 0730 59 0842 59 0953 112 390 59 1065 591176 591287 59 1399 59i5'o 59 1621 59 1732 59 1843 59 1955 59 2066 in 391 2177 2288 2399 2510 2621 2732 2843 2954 3064 3175 in 392 3286 3397 35o8 3618 3729 3840 395o 4061 4171 4282 in 393 4393 4503 4614 4724 4834 4945 5055 5165 5276 5386 no 394 5496 5606 5717 5827 5937 6047 6157 6267 6377 6487 no 395 59 6597 59 6707 596817 59 6927 59 7037 59 7146 59 7256 59 7366 59 7476 59 7586 no 396 7695 7805 79^4 8024 8i34 8243 8353 8462 8572 8681 no 397 8791 8900 9009 9119 9228 9337 9446 9556 9665 9774 109 398 9883 9992 600101 600210 600319 60 0428 600537 600646 600755 600864 109 399 600973 60 1082 1191 1299 1408 i5 J 7 1625 1734 1843 195 1 109 N. 1 2 3 4 5 6 7 8 9 |d. LOGARITHMS OF NUMBERS. N. 1 2 3 4 5 6 7 8 9 D. 400 60 2060 60 2169 60 2277 60 2386 60 2494 60 2603 60 271 1 60 2819 60 2928 60 3036 108 401 3144 3253 3361 3469 3577 3686 3794 3902 4010 4118 108 402 4226 4334 4442 455° 4658 4766 4874 4982 5089 5 J 97 108 403 5305 5413 552i 5628 5736 5844 5951 6059 6166 6274 108 404 6381 6489 6596 6704 681 1 6919 7026 7 I 33 7241 7348 107 405 60 7455 60 7562 60 7669 60 7777 607884 60 7991 60 8098 60 8205 608312 608419 107 406 8526 8633 8740 8847 8954 9061 9167 9274 9381 9488 107 407 9594 9701 9808 9914 61 0021 61 0128 61 0234 61 0341 61 0447 61 0554 107 408 61 0660 61 0767 61 0873 61 0979 1086 1192 1298 1405 !5" 1617 106 409 1723 1829 1936 2042 2148 2254 2360 2466 2572 2678 106 410 61 2784 61 2890 61 2996 61 3102 61 3207 61 3313 61 3419 61 3525 61 363° 61 3736 106 411 3842 3947 4053 4i59 4264 437o 4475 4581 4686 4792 106 412 4897 5°°3 5108 5213 53i9 5424 55 2 9 5634 5740 5845 105 413 595° 6055 6160 6265 6370 6476 6581 6686 6790 6895 io 5 414 7000 7 io 5 7210 73i5 7420 7525 7629 7734 7839 7943 105 415 61 8048 61 8153 61 8257 61 8362 61 8466 61 8571 61 8676 61 8780 61 8884 61 8989 i°5 416 9093 9198 ■9302 9406 9511 9615 9719 9824 9928 62 0032 104 417 620136 62 0240 620344 62 0448 62 0552 62 0656 62 0760 62 0864 62 0968 1072 104 413 1176 1280 1384 1488 1592 1695 1799 1903 2007 2110 104 419 2214 2318 2421 2525 2628 2732 2835 2939 3042 3H6 104 420 62 3249 62 3353 62 3456 623559 62 3663 62 3766 62 3869 62 3973 624076 624179 103 421 4282 4385 4488 459i 4695 4798 4901 5004 5107 5210 103 422 5312 5415 55i8 5621 5724 5827 5929 6032 6135 6238 103 423 6340 6443 6546 6648 6751 6853 6956 7058 7161 7263 103 424 7366 7468 757 1 7 6 73 7775 7878 7980 8082 - 8185 8287 102 425 62 8389 628491 62 8593 62 8695 62 8797 62 8900 62 9002 62 9104 62 9206 62 9308 102 426 9410 9512 9613 97i5 9817 9919 630021 630123 63 0224 63 0326 102 427 63 0428 63 0530 630631 63 0733 63 0835 63 0936 1038 "39 1 241 1342 102 428 429 1444 2457 1545 2559 1647 2660 1748 2761 1849 I95 1 2052 3064 2153 3165 2255 3266 2356 3367 IOI IOI 2S62 2963 430 63 3468 63 35 6 9 63 3670 63 3771 63 3872 63 3973 63 4074 634175 63 4276 63 4376 IOI 43i 4477 4578 4679 4779 4880 4981 5081 5182 5283 5383 IOI 432 5484 5584 5685 5785 5886 5986 6087 6187 6287 6388 IOO 433 6488 6588 6688 6789 6889 6989 70S9 7189 7290 7390 IOO 434 7490 7590 7690 7790 7890 7990 8090 8190 8290 8389 IOO 435 63 8489 63 8589 63 8689 63 8789 63 8888 63 8988 63 9088 639188 63 9287 63 9387 IOO 436 9486 9586 9686 9785 9885 9984 64 0084 640183 64 0283 64 0382 99 437 640481 640581 64 0680 640779 64 0879 64 0978 1077 1 177 1276 1375 99 438 1474 1573 1672 1771 1871 1970 2069 2168 2267 2366 99 439 2465 2563 2662 2761 2860 2959 3058 3156 3255 3354 99 440 64 3453 64 355 1 64 3650 64 3749 64 3847 64 J946 644044 644143 64 4242 64 4340 98 441 4439 4537 4636 4734 4832 493i 5029 5127 5226 5324 98 442 5422 552i 5 6l 9 5717 5815 59i3 601 1 61 10 6208 6306 98 443 6404 6502 6600 6698 6796 6894 6992 7089 7187 7285 98 444 7383 7481 7579 7676 7774 7872 7969 8067 8165 8262 98 445 648360 64 8458 64 8555 64 8653 64 8750 64 8848 64 8945 64 9043 649140 64 9237 97 446 9335 9432 9530 9627 9724 9821 9919 65 0016 65 01 13 65 0210 97 447 65 0308 65 0405 65 0502 65 0599 65 0696 65 0793 65 0890 0987 1084 1181 97 448 1278 1375 1472 1569 1666 1762 1859 1956 2053 2150 97 449 2246 2343 2440 2536 2633 2730 2826 2923 3019 3"6 97 450 65 3213 65 3309 65 3405 65 3502 65 3598 65 3695 65 3791 65 3888 65 3984 65 4080 96 45i 4177 4273 4369 4465 4562 4658 4754 4850 4946 5°42 96 452 5138 5235 533i 5427 5523 5619 5715 5810 5906 6002 96 453 6098 6194 6290 6386 6482 6577 6673 6769 6864 6960 96 454 7056 7 J 5 2 7247 7343 7438 7534 7629 7725 7820 7916 96 455 65 801 1 65 8107 65 8202 65 8298 65 8393 65 8488 65 8584 65 8679 65 8774 65 8870 95 456 8965 9060 9155 9250 9346 9441 9536 9631 9726 9821 95 457 9916 66 001 1 660106 660201 66 0296 660391 66 0486 660581 66 0676 660771 95 458 66 0865 0960 i°55 1150 1245 1339 1434 1529 1623 1718 95 459 1813 1907 2002 2096 2191 2286 2380 2475 2569 2663 95 N. 1 2 3 4 5 6 7 8 9 D. LOGARITHMS OF NUMBERS. N. 1 2 3 4 5 6 7 8 9 D. 460 66 2758 66 2852 66 2947 66 3041 663135 66 3230 66 3324 66 3418 663512 66 3607 94 461 3701 3795 3889 3983 4078 4172 4266 436o 4454 4548 94 462 4642 4736 4830 4924 5018 5112 5206 5299 5393 5487 94 463 558i 5675 5769 5862 5956 6050 6i43 6237 633i 6424 94 464 6518 6612 6705 6799 6892 6986 7079 .7173 7266 736o 94 465 66 7453 66 7546 66 7640 66 7733 66 7826 66 7920 66 8013 66 8106 66 8199 66 8293 93 466 8386 8479 8572 8665 8759 8852 8945 9038 9i3i 9224 93 467 9317 9410 95°3 9596 9689 9782 9875 9967 67 0060 670153 93 468 67 0246 67 0339 670431 67 0524 67 0617 670710 67 0S02 67 0895 0988 1080 93 469 "73 1265 1358 145 1 1543 1636 1728 1821 1913 2005 93 470 67 2098 67 2190 67 2283 67 2375 67 2467 67 2560 67 2652 672744 67 2836 67 2929 92 471 3021 3"3 3205 3297 339o 3482 3574 3666 3758 3850 92 472 3942 4034 4126 4218 43io 4402 4494 4586 4677 4769 92 473 4861 4953 5°45 5'37 5228 5320 5412 55°3 5595 5687 92 474 5778 5870 5962 6053 6145 6236 6328 6419 651 1 6602 92 475 67 6694 67 6785 67 6876 67 6968 67 7059 677151 67 7242 67 7333 67 7424 677516 9i 476 7607 7698 7789 7881 7972 8063 8i54 8245 8336 8427 9i 477 8518 8609 8700 8791 8882 8973 9064 9155 9246 9337 9i 478 9428 95 J 9 9610 9700 9791 9882 9973 680063 680154 68 0245 9i 479 68 0336 68 0426 680517 68 0607 68 0698 68 0789 68 0879 0970 1060 1151 9i 480 68 1 241 68 1332 68 1422 681513 681603 68 1693 681784 68 1874 68 1964 68 2055 90 481 2145 2235 2326 2416 2506 2596 2686 2777 2867 2957 90 482 3047 3137 3227 3317 3407 3497 3587 3677 ' 3767 3857 90 483 3947 4037 4127 4217 4307 4396 4486 4576 4666 4756 90 484 4845 4935 5°25 5"4 5204 5294 5383 5473 5563 5652 90 485 68 5742 685831 68 5921 68 6010 68 6100 686189 68 6279 68 6368 68 6458 68 6547 89 486 6636 6726 6815 6904 6994 7083 7172 7261 735 J 7440 89 487 75 2 9 7618 7707 7796 7886 7975 8064 8i53 8242 833i 89 488 8420 8509 8598 8687 8776 8865 8953 9Q42 9131 9220 89 489 9309 9398 9486 9575 9664 9753 9841 9930 690019 690107 89 490 690196 69 0285 69 0373 69 0462 690550 69 0639 69 0728 690816 69 0905 69 0993 89 491 108 1 1 1 70 1258 1347 1435 1524 1612 1700 1789 1877 88 492 1965 2053 2142 2230 2318 2406 2494 2583 2671 2759 88 493 2847 2935 3023 3111 3199 3287 3375 3463 355 1 3639 88 494 37 2 7 3815 3903 399i 4078 4166 4254 4342 443° 45 r 7 88 495 69 4605 69 4693 69 4781 69 4868 69 4956 695044 695^1 695219 69 5307 69 5394 88 496 5482 5569 5657 5744 5832 5919 6007 6094 6182 6269 87 497 6356 6444 6531 6618 6706 6793 6880 6968 7°55 7142 87 498 7229 7317 7404 7491 7578 7665 7752 7839 7926 8014 87 499 8101 8188 8275 8362 8449 8535 8622 8709 8796 8883 87 500 69 8970 699057 699144 69 9231 699317 69 9404 699491 699578 699664 699751 S7 501 9838 9924 70 001 1 70 0098 70 01 84 70 0271 70 0358 ! 70 0444 700531 700617 87 502 70 0704 70 0790 0877 0963 1050 1136 1222 1309 1395 1482 86 503 1568 1654 1 741 1827 1913 1999 2086 2172 2258 2344 86 504 2431 25 r 7 2603 2689 2775 2861 2947 3033 3"9 3205 86 505 703291 70 3377 7° 3463 7° 3549 70 3635 703721 70 3807 7° 3893 70 3979 70 4065 86 506 4151 4236 4322 4408 4494 4579 4665 475 ! 4837 [ 4922 86 507 5008 5094 5'79 5265 535° 5436 5522 5607 5693 5778 86 508 5864 5949 6035 6120 6206 6291 6376 6462 6547 6632 85 509 6718 6803 6888 6974 7059 7144 7229 7315 7400 7485 85 5io 70 7570 70 7655 70 7740 70 7826 70 791 1 70 7996 70 8081 708166 70 8251 7° 8336 85 5" 8421 8506 8591 8676 8761 8846 8931 9015 9100 9185 f 5 512 9270 9355 9440 9524 9609 9694 9779 9863 9948 710033 85 513 710117 71 0202 71 0287 71 0371 71 0456 71 0540 71 0625 71 0710 71 0794 0879 85 514 0963 1048 1132 1217 1 301 1385 1470 J 554 1639 1723 84 515 71 1807 71 1892 71 1976 71 2060 71 2144 71 2229 7i 2313 71 2 397 71 2481 71 2566 84 5i6 2650 2734 2818 2902 2986 3070 3154 3238 3323 3407 84 517 349i 3575 3659 3742 3826 3910 3994 4078 4162 . 4246 84 5i8 433° 4414 4497 4581 4665 4749 4833 4916 5000 5084 84 519 5167 5251 5335 54i8 5502 5586 5669 5753 5836 5920 84 N. 1 2 3 4 5 6 7 8 9 D. LOGARITHMS OF NUMBERS. N. 1 2 3 4 5 6 7 8 9 D. 520 71 6003 71 6087 71 6170 71 6254 7 1 6337 71 6421 71 6504 71 6588 71 6671 7 1 6754 83 521 6838 6921 7004 7088 7171 7254 7338 7421 7504 7587 83 522 "7671 7754 7837 7920 8003 8086 8169 8253 8336 8419 83 523 8502 8585 8668 8751 8834 8917 9000 9083 9165 9248 83 524 933i 9414 9497 9580 9663 9745 9828 991 1 9994 720077 83 525 720159 720242 72 0325 72 0407 72 0490 720573 720655 148 1 720738 720821 72 0903 83 526 0986 1068 "5i 1233 1316 1398 1563 1646 1728 82 527 1811 1893 1975 .2058 2140 2222 2305 2387 2469 2552 82 528 2634 2716 2798 2881 2963 3045 3127 3209 3291 3374 82 529 345 6 3538 3620 3702 3784 3866 3948 4030 4112 4194 82 53° 724276 72 4358 724440 724522 72 4604 72 4685 724767 72 4849 7 2 493i 7 2 5 OI 3 82 531 5°95 5^6 5258 534o 5422 5503 5585 5667 5748 5830 82 532 5912 5993 6075 6156 6238 1 6320 6401 6483 6564 6646 82 533 6727 6809 6890 6972 7053 7134 7216 7297 7379 746o 81 534 754i 7623 7704 7785 7866 7948 8029 8110 8191 8273 81 535 72 8354 72 8435 728516 72 8597 72 8678 728759 72 8841 72 8922 72 9003 72 9084 81 536 9165 9246 9327 9408 9489 9570 9651 9732 9813 9893 81 537 9974 73 oo55 73oi36 730217 73 0298 73 0378 73 0459 73 0540 730621 73 0702 Si 538 73 07S2 0863 0944 1024 1 105 1 186 1266 1347 1428 1508 81 539 1589 1669 175° 1830 1911 1991 2072 2152 2233 2313 81 540 73 2394 73 2474 73 2555 73 2635 732715 73 2796 73 2876 73 2956 73 3037 733"7 80 541 3197 3278 3358 3438 35i8 3598 3679 375? 3839 3919 80 542 3999 4079 4160 4240 4320 4400 4480 4560 4640 4720 80 543 4800 4880 4960 5040 5120 5200 5 2 79 5359 5439 6237 5519 80 544 5599 5679 5759 5838 5918 5998 6078 6157 6317 80 545 73 6397 73 6476 73 6556 73 6635 736715 73 6795 73 6874 73 6954 73 7034 737"3 80 546 7i93 7272 7352 743i 75" 7590 7670 7749 7829 7908 79 547 7987 8067 8146 8225 8305 8384 8463 8543 8622 8701 79 548 8781 8860 8939 9018 9097 9177 9256 9335 9414 9493 79 549 9572 9651 973i 9810 9889 9968 74 0047 740126 74 0205 74 0284 79 550 740363 740442 740521 74 0600 74 0678 740757 740S36 74 0915 74 0994 74 1073 79 55i 1152 1230 1309 1388 1467 1546 1624 1703 1782 i860 79 552 1939 2018 2096 2175 2254 2332 241 1 2489 2568 2647 79 553 2725 2804 2882 2961 3039 3"8 3196 3275 3353 343 ! 78 554 35 JO 3588 3667 3745 3823 3902 3980 4058 4136 4215 78 555 74 4293 74 4371 74 4449 744528 74 4606 74 4684 74 4762 74 4840 744919 74 4997 78 556 5075 5153 5231 5309 5387 5465 5543 5621 5699 5777 78 557 5855 5933 601 1 6089 6167 6245 6323 6401 6479 6556 78 558 6634 6712 6790 6868 6945 7023 7101 7179 7256 7334 78 559 7412 7489 7567 7645 7722 7800 7878 7955 8033 81 10 78 560 748188 74 8266 74 8343 74 8421 74 8498 74 8576 74 8653 748731 74 8808 74 8885 77 56i 8963 9040 9118 9195 9272 935° 9427 9504 9582 9659 77 562 9736 9814 9891 9968 75O045 750123 75 0200 750277 75 0354 75 0431 77 563 75 °5°8 75 0586 75 0663 75 0740 0817 0894 0971 1048 1125 1202 77 564 1279 I35 6 H33 1510 1587 1664 1 741 1818 1895 1972 77 565 75 2048 75 2125 75 2202 75 2279 75 2356 75 2433 75 2509 75 2586 75 2663 75 2740 77 566 2816 2893 2970 3047 3123 3200 3277 3353 343o 3506 77 567 3583 3660 3736 3813 3889 3966 4042 4119 4i95 4272 77 568 4348 4425 4501 4578 4654 473o 4807 4883 4960 5036 76 569 5112 5189 5265 534i 5417 5494 557o 5646 5722 5799 76 570 75 5f75 75 5951 75 6027 75 6103 756180 75 6256 75 6332 75 6408 75 6484 75 6560 76 571 6636 6712 6788 6864 6940 7016 7092 7168 7244 7320 76 572 7396 7472 7548 7624 7700 7775 7851 7927 8003 8079 76 573 8155 8230 8306 8382 8458 8533 8609 8685 8761 8836 76 574 8912 8988 9063 9i39 9214 9290 9366 9441 95 r 7 9592 76 575 75 9668 75 9743 759819 75 9894 75 9970 76 0045 760121 760196 760272 760347 75 576 76 0422 76 0498 760573 760649 76 0724 0799 0875 0950 1025 IIOI 75 577 1 1 76 1251 1326 1402 *477 1552 1627 1702 1778 1853 75 578 1928 2003 2078 2153 2228 2303 2378 2453 2529 2604 75 579 2679 2754 2829 2904 2978 3053 3128 3203 3278 3353 75 N. 1 2 3 4 5 6 7 8 9 D. 10 LOGARITHMS OF NUMBERS. N. 1 2 3 4 5 6 7 8 9 D. 75 580 76 3428 76 35°3 763578 76 3653 763727 76 3802 7 6 3877 176 3952 1764027 764101 581 4176 4251 4326 4400 4475 4550 4624 ! 4699 4774 4848 75 582 4923 4998 5°72 5*47 5221 5296 5370 5445 5520 5594 75 583 5669 , 5743 5818 5892 5966 6041 6115 6190 6264 6338 74 584 6413 6487 6562 6636 6710 6785 6859 6933 7007 7082 74 585 767156 76 7230 76 7304 j 76 7379 76 7453 76 7527 76 7601 76 7675 j 76 7749 76 7823 74 586 7898 7972 8046 8120 8194 8268 8342 8416 8490 8564 74 587 8638 8712 8786 8860 8934 9008 9082 9156 9230 9303 74 588 9377 945 > 9525 9599 9673 9746 9820 9894 9968 770042 74 589 770115 770189 77 0263 77 336 770410 77 0484 77 0557 77 0631 1770705 0778 74 590 770852 770926 77 °999 77 io 73 77 "46 77 1220 77 I2 93 77 '367 77 1440 77I5M 74 591 1587 1 661 1734 1808 1881 !955 2028 2102 2175 2248 73 592 2322 2395 246S 2542 2615 2688 2762 2835 2908 2981 73 593 3055 3128 3201 3274 3348 342i 3494 3567 3640 3713 73 594 3786 3860 3933 4006 4079 4152 4225 4298 437i / 1 / H'1 73 595 77 4517 77 459o 77 4663 77 4736 77 4809 77 4882 77 4955 77 5028 775100 77 5J73 73 596 5246 53i9 5392 5465 5538 5610 5683 5756 5829 5902 73 597 5974 6047 6120 6193 6265 6338 641 1 6483 6556 6629 73 598 6701 6774 6846 6919 6992 7064 7137 7209 7282 7354 73 599 7427 7499 7572 7644 7717 7789 7862 7934 8006 8079 72 600 778151 77 8224 77 8296 77 8368 77 8441 778513 77 8585 77 8658 77 8730 77 8802 72 601 8874 8947 9019 9091 9163 9236 9308 9380 9452 9524 72 602 9596 9669 974i 9813 9885 9957 78 0029 780101 780173 78 0245 72 603 780317 78 0389 780461 780533 78 0605 78 0677 0749 0821 0893 0965 72 604 1037 1 109 1 181 1253 1324 1396 1468 1540 1612 1684 72 605 78 1755 78 1827 78 1899 78 197 1 78 2042 78 2114 782186 782258 78 2329 78 2401 72 606 2473 2544 2616 2688 2759 2831 2902 2974 3046 3"7 72 607 3189 3260 3332 3403 3475 3546 3618 3689 376i 3832 7i 608 3904 3975 4046 4118 4189 4261 4332 4403 4475 4546 7i 609 4617 4689 4760 4831 4902 4974 5045 5116J 5187 5259 71 610 78 533° 78 5401 78 5472 78 5543 785615 78 5686 78 5757 785828 785899 78 5970 7i 611 6041 6112 6183 6254 6325 6396 6467 6538 6609 6680 7i 612 6751 6822' 6893 6964 7035 7106 7i77 7248 7319 7390 7i 613 7460 753i 7602 7 6 73 7744 7815 7885 7956 8027 8098 7i 614 8168 8239 8310 8381 8451 8522 8593 8663 8734 8804 7i 615 78 8875 78 8946 789016 78 9087 78 9157 789228 78 9299 78 9369 78 9440 789510 7i 616 958i 9651 9722 9792 9863 9933 79 0004 79 0074 79 0144 790215 7° 617 79 0285 79 0356 79 0426 79 °49 6 79 0567 79 0637 0707 0778 0848 0918 70 618 0988 1059 1 129 1 199 1269 1340 1410 1480 1550 1620 70 619 1691 1761 1831 1901 1971 2041 2111 2181 2252 2322 70 620 79 2392 79 2462 79 2532 79 2602 79 2672 79 2742 792812 79 2882 79 295 2 79 3022 70 621 3092 3162 3231 330i 337i 344i 35" 358i 3651 372i 70 622 3790 3860 3930 4000 4070 4139 4209 4279 4349 44i8 70 623 4488 4558 4627 4697 4767 4836 4906 4976 5045 5"5 70 624 5185 5254 5324 5393 5463 5532 5602 5672 5741 5811 70 625 79 5880 79 5949 79 6019 79 6088 796158 79 6227 79 6297 79 6366 79 6436 79 6505 69 626 6574 6644 6713 6782 6852 6921 6990 7060 7129 7198 69 627 7268 7337 7406 7475 7545 7614 7683 7752 7S21 7890 69 628 7960 8029 8098 8167 8236 8305 8374 8443 8513 8582 69 629 8651 8720 8789 8858 8927 8996 9065 9i34 9203 9272 69 630 79 9341 79 9409 79 9478 79 9547 799616 79 9685 79 9754 79 9823 79 9892 79 996i 69 631 800029 800098 800167 80 0236 80 0305 80 0373 80 0442 80 05 1 1 80 05 So 80 0648 69 632 0717 0786 0854 0923 0992 1061 1 1 29 1 198 1266 1335 69 633 1404 1472 1541 1609 1678 1747 1815 1884 1952 2021 69 634 2089 2.58 2226 2295 2363 2432 2500 2568 2637 2705 68 635 802774 80 2842 80 2910 80 2979 80 3047 80 31 16 803184 80 3252 803321 80 3389 68 636 3457 3525 3594 3662 373o 3798 3867 3935 4003 4071 68 637 4139 4208 4276 4344 4412 4480 4548 4616 4685 4753 68 638 4821 4889 4957 5° 2 5 5°93 5161 5229 5297 5365 5433 68 639 5501 5569 5 6 37 5705 5773 5841 59o8 5976 6044 6112 68 N. 1 1 2 3 4 5 6 7 8 9 D. LOGARITHMS OF NUMBERS. 11 N. 1 2 3 4 5 6 7 8 9 D. 640 8c 6180 80 6248 806316 80 6384 80 645 1 So 6519 80 6587 80 6655 80 6723 806790 68 641 6858 6926 6994 7061 7129 7197 7264 7332 7400 7467 68 642 7535 7603 7670 7738 7806 7873 7941 8008 8076 8143 68 643 821 1 8279 8346 8414 8481 8549 8616 8684 8751 8818 67 644 8886 8953 9021 9088 9i5 6 9223 9290 9358 9425 9492 67 645 80 9560 80 9627 80 9694 80 9762 80 9829 80 9896 80 9964 81 0031 81 0098 81 0165 67 646 81 0233 81 0300 81 0367 81 0434 81 0501 81 0569 81 0636 0703 07^0 0837 67 647 0904 0971 1039 1 106 "73 1240 1307 1374 1441 1508 67 648 1575 1642 1709 1776 1843 1910 1977 2044 2111 2178 67 649 2245 2312 2379 2445 2512 2579 2646 2713 2780 2847 67 650 81 2913 81 29S0 81 3047 813114 81 3181 81 3247 81 3314 81 3381 81 3448 8i35'4 67 651 3581 3648 37*4 3781 3848 39H 398i 4048 4114 4181 67 652 4248 43H 438i 4447 45H 4581 4647 47 x 4 4780 4847 67 653 4913 4980 5046 5"3 5 J 79 5246 5312 5378 5445 55" 66 654 5578 5644 57" 5777 5843 5910 597 6 6042 6109 6i75 66 655 81 6241 81 6308 81 6374 81 6440 81 6506 81 6573 81 6639 81 6705 81 6771 81 6838 66 656 6904 6970 7036 7102 7169 7235 73oi 7367 7433 7499 66 657 7565 7631 7698 7764 7830 7896 7962 8028 8094 8160 66 658 8226 8292 8358 8424 8490 8556 8622 8688 8754 8820 66 659 8885 8951 9017 9083 9149 9215 9281 9346 9412 9478 66 660 819544 81 9610 81 9676 81 9741 81 9807 81 9873 81 9939 82 0004 82 0070 820136 66 661 S2020I 820267 82 0333 82 0399 82 0464 82 0530 82 0595 0661 0727 0792 66 662 0858 0924 0989 io 55 1 1 20 1 186 1251 1317 1382 1448 66 663 15*4 1579 1645 1710 1775 1841 1906 1972 2037 2103 65 664 2168 2233 2299 2364 2430 2495 2560 2626 2691 2756 65 665 82 2822 82 2887 82 2952 823018 82 3083 823148 823213 823279 823344 82 3409 65 666 3474 3539 3605 3670 3735 3800 3865 - 393° 3996 4061 65 667 4126 4191 4256 4321 4386 445 l 45 l6 4581 1 4646 47" 65 668 4776 4841 4906 497 » 5 36 5101 5166 5231 5296 536i 65 669 5426 549i 555 6 5621 5686 575i 5815 5880 5945 6010 65 670 S2 6075 82 6140 82 6204 82 6269 82 6334 82 6399 82 6464 82 6528 82 6593 82 6658 65 671 6723 6787 6852 6917 6981 7046 7111 7175 7240 7305 65 672 7369 7434 7499 7563 7628 7692 7757 7821 7886 795 1 65 673 8015 8080 8144 8209 8273 8338 8402 8467 8531 8595 64 674 8660 8724 8789 8853 8918 8982 9046 9111 9175 9239 64 675 82 9304 82 9368 82 9432 82 9497 829561 82 9625 82 9690 82 9754 829818 82 9882 64 676 9947 83 001 1 83 0075 830139 83 0204 83 0268 83 0332 83 0396 83 0460 830525 64 677 83 0589 0653 0717 0781 0845 0909 0973 1037 1 102 1 166 64 678 1230 1294 1358 1422 i486 i55o 1614 1678 1742 1806 64 679 1870 1934 1998 2062 2126 2189 2253 2317 2381 2445 64 680 83 2509 832573 83 2637 83 2700 83 2764 83 2828 83 2892 83 2956 83 3020 83 3083 64 681 3H7 321 1 3275 3338 3402 3466 353o 3593 3657 372i 64 682 3784 3848 3912 3975 4039 4103 4166 4230 4294 4357 64 683 4421 4484 4548 461 1 4675 4739 4802 4866 4929 4993 64 684 5056 5120 5183 5247 53io 5373 5437 55°° 55 6 4 5 6 27 63 685 83 5691 83 5754 835817 835881 83 5944 83 6007 83 6071 836134 836197 83 6261 63 686 6324 6387 645 J 6514 6577 6641 6704 6767 6830 6894 63 687 6957 7020 7083 7146 7210 7273 7336 7399 7462 7525 63 688 7588 7652 7715 7778 7841 7904 7967 8030 8093 8156 63 689 8219 8282 8345 8408 8471 8534 8597 8660 8723 8786 63 690 S3 8849 838912 83 8975 83 9038 839101 83 9164 83 9227 83 9289 83 9352 83 9415 63 691 9478 954i 9604 9667 9729 9792 9855 9918 9981 840043 63 692 S4 0106 840169 84 0232 84 0294 840357 84 0420 84 0482 84 0545 84 0608 0671 63 693 0733 0796 0859 0921 0984 1046 1 109 1172 1234 1297 63 694 1359 1422 1485 !547 1610 1672 1735 1797 i860 1922 63 695 84 1985 84 2047 84 21 IO 842172 84 2235 84 2297 84 2360 84 2422 84 2484 84 2547 62 696 2609 2672 2734 2796 2859 2921 2983 3046 3108 3170 62 697 3233 3295 3357 3420 3482 3544 3606 3669 373i 3793 62 698 3855 39i8 398o 4042 4104 4166 4229 4291 4353 4415 62 699 4477 4539 4601 4664 4726 4788 4850 4912 4974 5 36 62 N. 1 2 3 4 5 6 7 8 9 D. 12 LOGARITHMS OF NUMBERS. N. 1 2 3 4 5 6 7 8 9 D. 700 84 5098 845160 84 5222 84 5284 84 5346 84 5408 84 547° 845532 84 5594 84 5656 "oT 701 57i8 5780 5842 5904 5966 6028 6090 6151 6213 6275 62 702 6337 6399 6461 6523 6585 6646 6708 6770 6832 6894 62 703 6955 7017 7079 7141 7202 7264 7326 7388 7449 75" 62 704 7573 7634 7696 7758 j 7819 7881 7943 8004 8066 8128 62 705 848189 848251 848312 84 8374 ! 84 8435 84 8497 848559 84 8620 84 8682 84 8743 62 706 8805 8866 8928 8989 9051 9112 9174 9235 9297 9358 61 707 9419 9481 9542 9604 9665 9726 9788 9849 991 1 9972 61 708 85 0033 850095 850156 850217,850279 85 0340 85 0401 85 0462 85 0524 850585 61 709 0646 0707 0769 0830 0891 0952 1014 1075 1136 1 197 61 710 85 1258 85 1320 85 1381 851442 85 1503 85 1564 85 1625 85 1686 85 1747 85 1809 61 711 1870 I93i 1992 2053 2114 2175 2236 2297 2358 2419 61 712 2480 2541 2602 2663 2724 2785 2846 2907 2968 3029 61 713 3090 3i5 321 1 3272 3333 3394 3455 3516 3577 3637 61 7M 3698 3759 3820 3881 394i 4002 4063 4124 4185 4245 61 715 85 4306 85 4367 854428 854488 85 4549 85 4610 85 4670 85 4731 85 4792 85 4852 61 716 4913 4974 5°34 5°95 5216 5277 5337 5398 5459 61 717 55 ! 9 558o 5640 570 1 576i 5822 5882 5943 6003 6064 61 718 6124 6185 6245 6306 6366 6427 6487 6548 6608 666S 60 719 6729 6789 6850 6910 6970 7031 7091 7152 7212 7272 60 720 85 7332 85 7393 85 74531 857513 85 7574 85 7634 85 7694 85 7755 85 78i5 85 7875 60 721 7935 7995 8056 81 16 8176 8236 8297 8357 8417 8477 60 722 8537 8597 8657 8718 8778 8838 8898 8958 9018 -907S 60 723 9138 9198 9258, 9318 9379 9439 9499 9559 9619 9679 60 724 9739 9799 98591 99i8 9978 86 0038 860098 860158 860218 860278 60 725 86 0338 86 0398 860458 860518 860578 86 0637 86 0697 860757 860817 860877 60 726 0937 0996 1056 1116 1176 1236 1295 J355 1415 H75 60 727 1534 1594 1654 17*4 1773 1833 1893 1952 2012 2072 60 728 2131 2191 2251 2310 1 2370 2430 2489 2549 2608 2668 60 729 2728 2787 2847 2906 2966 3025 3085 3144 3204 3263 60 730 8633231863382 863442 863501 863561 86 3620 863680 86 3739 86 3799 86 385S 59 731 3917 1 3977 4036 4096, 4155 4214 4274 4333 4392 4452 59 732 451 1 457° 4630 4689 4748 4808 4867 4926 4985 5°45 59 733 5104 5 l6 3 5222 5282 5341 5400 5459 5519 5578 5637 59 734 5696 5755 5814 5874 5933 5992 6051 6110 6169 6228 59 735 86 6287 866346 866405 86 6465 . 86 6524 866583 866642 866701 866760 866819 59 736 6878 6937 6996 7055 71 14 7173 7232 7291 735° 7409 59 737 7467 7526 7585 7644 77°3 8233 8292 7762 7821 7880 7939 7998 59 738 8056 8115 8174 8350 8409 8468 8527 8586 59 739 8644 8703 8762 8821 8879 8938 8997 9056 9114 9173 59 740 86 9232 86 9290 86 9349 86 9408 ( 86 9466 869525 86 9584 86 9642 86 9701 86 9760 59 74i 9818 9877 9935 9994 870053 87 01 1 1 870170 87 0228 87 0287 87 0345 59 742 87 0404 870462 870521 870579 0638 0696 0755 0813 0872 0930 58 743 0989 1047 1 106 1 164 1223 1281 1339 1398 1456 1515 58 744 1573 1631 1690 1748 1806 1865 1923 1981 2040 2098 58 745 872156 87 2215 87 2273 872331 87 2389 872448 87 2506 87 2564 87 2622 87 2681 58 746 2739 2797 2855 2913 2972 3030 3088 3H6 3204 3262 5 f 747 332i 3379 3437 3495 3553 361 1 3669 3727 3785 3844 58 748 3902 3960 4018 4076 4134 4192 4250 4308 4366 4424 58 749 4482 4540 4598 4656 47H 4772 4830 4888 4945 5003 58 750 87 5061 875119 87 5177 87 5235 87 5293 87 5351 87 5409 87 5466 87 5524 875582 58 751 5640 5698 5756 5813 5929 5987 6045 6102 6160 58 o 752 6218 6276 6333 6391 6449 6507 6564 6622 6680 6737 5$ o 753 6795 6853 6910 6968 7026 7083 7141 71991 7256 7314 58 > 754 7371 7429 7487 7544 7602 7659 7717 7774! 7832 7889 58 755 S 7 7947 878004 87 8062 878119 878177 87 8234 87 8292 87 8349 87 8407 1 87 8464 57 756 8522 8579 8637 8694 8752 8809 8866 8924 8981 9039 57 757 9096 9153 921 1 9268 9325 9383 9440 9497 9555 9612 57 758 9669 9726 9784 9841 9898 9956 880013 880070 880127 880185 57 759 88 0242 88 0299 880356 880413 880471 88 0528 0585 0642 0699 0756 57 N. 1 2 3 4 5 6 7 8 9 D.j LOGARITHMS OF NUMBERS. 18 N. 1 2 3 4 5 6 7 8 9 D. 760 880814 880871 88 0928 88 0985 88 1042 88 1099 881156 881213 881271 88 1328 57 761 1385 1442 1499 1556 1613 1670 1727 1784 1841 1898 57 762 1955 2012 2069 2126 2183 2240 2297 2354 241 1 2468 57 763 25 2 5 2581 2638 2695 2752 2809 2866 2923 2980 3037 57 764 3°93 315° 3207 3264 3321 3377 3434 349i 3548 3605 57 765 88 3661 883718 88 3775 88 3832 88 3888 88 3945 88 4002 88 4059 884115 884172 57 766 4229 4285 4342 4399 4455 45" 45 6 9 4625 4682 4739 57 767 4795 4852 4909 4965 5022 5078 5 X 35 5'92 5248 5305 57 768 536i 5418 5474 5531 5587 5 6 44 5700 5757 5813 5870 57 769 5926 5983 6039 6096 6152 6209 6265 6321 6378 6434 56 770 88 6491 88 6547 88 6604 88 6660 886716 88 6773 88 6829 88 6885 88 6942 88 6998 56 771 7°S4 7111 7167 7223 7280 7336 7392 7449 7505 75 61 56 772 7617 7674 773° 7786 7842 7898 7955 801 1 8067 8123 56 773 8179 8236 8292 8348 8404 8460 8516 8573 8629 8685 56 774 8741 8797 8853 8909 8965 9021 9077 9134 9190 9246 56 775 88 9302 88 9358 88 9414 88 9470 889526 88 9582 88 9638 88 9694 88 9750 88 9806 56 776 9862 9918 9974 89 0030 89 0086 890141 890197 890253 89 0309 89 0365 56 777 S90421 89 0477 89 0533 0589 0645 0700 0756 0812 0868 0924 56 778 0980 1035 109 1 1 147 1203 1259 1314 1370 1426 1482 56 779 !537 1593 1649 1705 1760 1816 1872 1928 1983 2039 56 780 89 2095 89 2150 89 2206 89 2262 892317 89 2373 89 2429 89 2484 89 2540 89 2595 ^ 781 2651 2707 2762 2818 2873 2929 2985 3040 3096 3151 56 782 3207 3262 33i8 3373 3429 3484 354o 3595 3651 3706 56 783 37 62 3817 3873 3928 3984 4039 4094 4150 4205 4261 55 784 43i6 4371 4427 4482 4538 4593 4648 4704 4759 4814 55 785 89 4870 89 4925 89 4980 89 5 36 895091 895146 89 5201 89 5257 895312 89 5367 55 786 5423 5478 5533 5588 5644 5699 5754 5809 5864 5920 55 787 5975 6030 6085 6140 6195 6251 6306 6361 6416 6471 55 788 6526 6581 6636 6692 6747 6802 6857 6912 6967 7022 55 789 7077 7»32 7187 7242 7297 7352 7407 7462 75 x 7 7572 55 790 89 7627 89 7682 89 7737 89 7792 89 7S47 89 7902 89 7957 898012 89 8067 898122 55 791 8176 8231 8286 8341 8396 845 1 8506 8561 8615 8670 55 792 8725 8780 8835 8890 8944 8999 9054 9109 9164 9218 55 793 9273 9328 9383 9437 9492 9547 9602 9656 9711 9766 55 794 9821 9875 9930 9985 90 0039 90 0094 900149 90 0203 90 0258 900312 55 795 90 0367 90 0422 90 0476 900531 90 0586 90 0640 90 0695 90 0749 90 0804 90 0859 55 796 0913 0968 1022 1077 1131 1 186 1240 1295 1349 1404 55 797 1458 1513 1567 1622 1676 i73i 1785 1840 1894 1948 54 798 2003 2057 2112 2166 2221 2275 2329 2384 2438 2492 54 799 2547 2601 2655 2710 2764 2818 2873 2927 2981 3036 54 800 90 3090 903144 903199 9° 3253 90 3307 90 3361 90 34i6 90 347o 90 3524 90 3578 54 801 3633 3687 374i 3795 3849 3904 3958 4012 4066 4120 54 802 4174 4229 4283 4337 4391 4445 4499 4553 4607 4661 54 803 4716 4770 4824 4878 4932 4986 5040 5094 5148 5202 54 804 5256 53io 5364 54i8 5472 5526 558o 5 6 34 5688 5742 54 805 905796 90 5850 90 5904 90 5958 90 60I2 90 6066 90 61 19 906173 90 6227 906281 54 806 6335 6389 6443 6497 6551 6604 6658 6712 6766 6820 54 807 6874 6927 6981 7035 7089 7*43 7196 7250 7304 7358 54 808 741 1 7465 75 J 9 7573 7626 7680 7734 7787 7841 7895 54 809 7949 8002 8056 8110 8163 8217 8270 8324 8378 8431 54 810 90 8485 90 8539 90 8592 90 8646 90 8699 908753 90 8807 908860 908914 90 8967 54 811 9021 9074 9128 9181 9235 9289 9342 9396 9449 9503 54 812 9556 9610 9663 9716 9770 9823 9877 993o 9984 910037 53 813 91 0091 91 0144 91 0197 91 0251 91 O3O4 91 0358 91 041 1 91 0464 91 0518 057 1 53 814 0624 0678 0731 0784 0838 0891 0944 0998 105 1 1 104 53 815 91 1158 91 1211 91 1264 9i 1317 91 I37 1 91 1424 91 1477 91 1530 91 1584 91 1637 53 816 1690 1743 1797 1850 I9O3 1956 2009 2063 21 16 2169 53 817 2222 " 7 5 2328 2381 2435 2488 2541 2594 2647 2700 53 818 2753 3284 2806 2859 2913 2966 3019 3072 3'25 3178 3231 53 819 3337 339o 3443 3496 3549 3602 3655 37o8 376i 53 N. 1 2 3 4 5 6 7 8 9 D. 14 LOGARITHMS OF NUMBERS. N. 1 2 3 4 5 6 7 8 9 D. 820 91 3814 91 3867- 91 3920 9i 3973 91 4026 91 4079 91 4132 91 4184 91 4237 91 4290 53 821 4343 4396 4449 4502 4555 5083 4608 4660 47 J 3 4766 4819 53 822 4872 4925 4977 5030 5 J 36 5189 5241 5294 5347 53 823 5400 5453 55°5 5558 5611 5664 57i6 5769 5822 5875 53 824 5927 598o 6033 6085 613S 6191 6243 6296 6349 6401 53 825 91 6454 91 6507 9i 6559 91 6612 91 6664 91 6717 91 6770 91 6822 91 6875 91 6927 53 826 6980 7033 7085 7138 7190 7243 7295 7348 7400 7453 53 827 7506 7558 8083 761 1 7663 7716 7768 7820 7873 7925 7978 52 828 8030 8i35 8188 8240 8293 8345 8397 8450 8502 5 2 829 8555 8607 8659 8712 8764 8816 8869 8921 8973 9026 52 830 91 9078 91 9130 91 9183 91 9235 91 9287 91 9340 91 9392 919444 91 9496 9i 9549 52 831 9601 9653 9706 9758 9810 9862 9914 9967 920019 920071 52 832 920123 920176 92 0228 92 0280 92 0332 92 0384 92 0436 92 0489 0541 0593 52 833 0645 0697 0749 0801 0853 0906 0958 1010 1062 1114 52 834 1166 1218 1270 1322 1374 1426 1478 I530 1582 1634 52 835 92 1686 921738 92 1790 92 1842 92 1894 92 1946 92 1998 92 2050 92 2102 922154 52 836 2206 2258 2310 2362 2414 2466 2518 2570 2622 2674 52 837 2725 2777 2829 2881 2933 2985 3037 3089 3140 3192 52 838 3244 3296 3348 3399 345 * 35°3 3555 3607 3658 37io 52 839 3762 3814 3865 3917 3969 4021 4072 4124 4176 4228 52 840 924279 92 4331 92 4383 92 4434 924486 92 4538 92 45 8 9 92 4641 92 4693 92 4744 52 841 4796 4848 4899 495 1 5°°3 5°54 5106 5'57 5209 5261 52 842 5312 5364 5415 5467 55i8 5570 5621 5 6 73 5725 5776 52 843 5828 5879 593i 5982 6034 6085 6137 6188 6240 6291 5 1 844 6342 6394 6445 6497 6548 6600 6651 6702 6754 6805 5i 845 92 6857 92 6908 92 6959 92 701 1 92 7062 927114 927165 92 7216 92 7268 927319 5i 3 4 6 7370 7422 7473 7524 7576 7627 7678 773° 7781 7832 5i 847 7883 7935 7986 8037 8088 8140 8191 8242 8293 8345 5 1 848 8396 8447 8498 8549 8601 8652 8703 8754 8805 8857 5i 849 8908 8959 9010 9061 9112 9163 9215 9266 9317 9368 5i 850 92 9419 1 92 947° 929521 92 9572 92 9623 92 9674 929725 929776 929827 92 9879 5 1 851 9930 9981 930032 9300831930134 930185 930236 93 0287 93 0338 93 0389 5i 852 93 0440 1 93 0491 0542 0592 0643 0694 0745 0796 0847 0898 5 1 853 0949 1000 105 1 1102 1153 1204 1254 1305 1356 1 1407 5i 854 1458 1509 1560 1610 1661 1712 i7 6 3 1814 1865 j 1915 5 1 855 931966 932017 93 2068 93 2118 932169 93 2220 932271 93 2322 93 2372 93 2423 51 856 2474 2524 2575 2626 2677 2727 2778 2829 2879 2930 5i 857 2981 3031 3082 3133 3183 3234 3285 3335 3386 3437 5i 858 3487 3538 3589 3639 3690 3740 379i 3841 3892 3943 5i 859 3993 4044 4094 4145 4195 4246 4296 4347 4397 4448 5 1 860 93 4498 93 4549 93 4599 93 4650 93 47oo 93 475 ! 93 4801 93 4852 93 4902 93 4953 50 86 r 5003 1 5054 5104 5*54 5205 5255 53o6 5356 54o6 5457 50 862 5507 5558 5608 5658 5709 5759 5809 5860 5910 5960 5° 863 601 1 6061 6111 6162 6212 6262 6313 6363 6413 6463 50 864 6514 6564 6614 6665 6715 6765 6815 6865 6916 6966 5° 865 937016 93 7066 93 7H7 937167 937217 93 7267 93 7317 93 7367 93 74i8 93 7468 50 866 7518 7568 7618 7668 7718 7769 7819 7869 7919 7969 5° 867 8019 8069 8119 8169 8219 8269 8320 8370 8420 8470 50 868 8520 8570 8620 8670 8720 8770 8820 8870 8920 8970 5° 869 9020 9070 9120 9170 9220 9270 9320 9369 9419 9469 5° 870 93 95 J 9 93 95 6 9 939619 93 9669 93 9719 93 9769 939819 93 9869 939918 93 9968 5° 871 940018 940068 94 01 18 940168 940218 94 0267 940317 94 0367 940417 94 0467 5° 872 0516 0566 0616 0666 0716 0765 0815 0865 0915 0964 50 873 1014 1064 1114 "63 1213 1263 1313 1362 1412 1462 50 874 1511 1561 161 1 1660 1710 1760 1809 1859 1909 1958 5° 875 94 2008 94 2058 942107 942157 94 2207 94 2256 94 2306 94 2355 94 2405 94 2455 50 876 2504 2554 2603 2653 2702 2752 2801 2851 2901 2950 5° 877 3000 3049 3099 3148 3198 3247 3297 3346 3396 3445 49 878 3495 3544 359? 3643 3692 3742 3791 3841 3890 3939 49 879 3989 4038 4088 4137 4186 4236 4285 4335 4384 4433 49 N. 1 2 3 4 5 6 7 8 9 D. ill— j LOGARITHMS OF NUMBERS. 15 N. 1 2 3 4 5 6 7 8 9 D. 49 880 944483 944532 944581 944631 94 4680 94 4729 94 4779 94 4828 94 4877 94 4927 881 4976 5° 2 5 5°74 5t24 •5173 5222 5272 5321 537° 5419 49 882 5469 55i8 5567 5616 5665 5715 5764 5813 5862 5912 49 883 5961 6010 6059 6108 6157 6207 6256 6305 6354 6403 49 884 6452 6501 655i 6600 6649 6698 6747 6796 6845 6894 49 885 94 6943 94 6992 94 7°4i 94 7090 947140 947189 94 7238 94 7287 94 7336 94 7385 49 886 7434 7483 7532 758i 7630 7679 7728 7777 7826 7875 49 887 7924 7973 8022 8070 8119 8;68 8217 8266 8315 8364 49 888 8413 8462 8511 8560 8609 8657 8706 8755 8804 8853 49 889 8902 8951 8999 9048 9097 9146 9195 9244 9292 9341 49 890 94 9390 94 9439 94 9488 94 9536 94 9585 94 9634 94 9683 94 9731 94 978o 94 9829 49 89 r 9878 9926 9975 95 0024 950073 95 0121 950170 95 0219 95 0267 950316 49 892 95 365 95 °4i4 95 0462 051 1 0560 0608 0657 0706 0754 0803 49 893 0851 0900 0949 0997 1046 1095 "43 1192 1240 1289 49 894 1338 1386 1435 J483 1532 1580 1629 1677 1726 1775 49 895 95 J 823 95 l8 72 95 ^20 95 1969 95 2017 95 2066 95 21 14 952163 95 221 1 95 2260 48 896 2308 235 6 2405 2453 2502 2 55° 2599 2647 2696 2744 48 897 2792 2841 2889 2938 2986 3034 3083 3131 3180 3228 48 8g8 3276 3325 3373 342i 3470 35i8 3566 3615 3663 37" 48 899 3760 3808 3856 3905 3953 4001 4049 4098 4146 4194 48 900 95 4243 95 4291 95 4339 95 4387 95 4435 95 4484 95 4532 95 4580 95 4628 95 4677 48 901 4725 4773 4821 4869 4918 4966 5 OI 4 5062 51 10 5158 48 902 5207 5255 5303 535i 5399 5447 5495 5543: 5592 5640 48 903 5688 5736 5784 5832 5880 5928 5976 6024 6072 6120 48 904 6168 6216 6265 6313 6361 6409 6457 6 5°5 6 553 6601 48 905 95 66 49 95 66 97 95 6 745 95 6793 95 6840 95 6888 95 6 936 95 6 984 95 7°32 95 7080 48 906 7128 7176 7224 7272 7320 7368 7416 7464, 7512 7559 48 907 7607 7655 7703 775 1 7799 7847 7S94 7942 799o 8038 48 908 80S6 8i34 8181 8229 8277 8325 8373 8421 . 8468 8516 48 909 8564 8612 8659 8707 8755 8803 8850 8898 8946 8994 48 910 95 9041 95 9089 95 9137 959185 95 9232 95 9280 95 9328 95 9375 1 95 9423 95 9471 48 911 95i8 9566 9614 9661 9709 9757 9804 9852 1 9900 9947 48 912 9995 960042 96 0090 960138 960185 960233 96 0280 960328 960376 96 0423 48 913 960471 0518 0566 0613 0661 0709 0756 0804 0851 0899 48 914 0946 0994 1041 1089 1136 1 184 1231 1279 1326 1374 48 915 96 1421 96 1469 96 1516 96 1563 96 161 1 96 1658 96 1 706 96 1753 96 1801 96 1848 47 916 1895 1943 1990 2038 2085 2132 2180 2227 2275 2322 47 917 2369 2417 2464 2511 2559 2606 2653 2701 2748 2795 47 918 2843 2890 2937 2985 3032 3079 3126 3174 3221 3268 47 919 33i6 3363 34io 3457 35°4 3552 3599 3646 3693 374i 47 920 96 3788 96 3835 96 3882 96 3929 96 3977 96 4024 964071 964118 964165 964212 47 921 4260 4307 4354 4401 4448 4495 4542 459o 4637 4684 47 922 4731 4778 4825 4872 4919 4966 5 OI 3 5061 5108 5^5 47 923 5202 5249 5296 5343 5390 5437 5484 553i 5578 5 62 5 47 924 5672 57*9 5766 5813 5860 5907 5954 6001 6048 6095 47 925 96 6142 966189 96 6236 96 6283 96 6329 96 6376 96 6423 96 6470 966517 96 6564 47 926 661 1 6658 6705 6752 6799 6845 6892 6939 6986 7°33 47 927 7080 7127 7173 7220 7267 73i4 736i 7408 7454 75 GI 47 928 7548 7595 7642 7688 7735 7782 7829 7875 7922 7969 47 929 8016 8062 8109 8156 8203 8249 8296 8343 8390 8436 47 930 96 8483 96 8530 968576 96 8623 96 8670 968716 96 8763 968810 96 8856 96 8903 47 931 8950 8996 9043 9090 9136 9183 9229 9276 9323 9369 47 932 9416 9463 9509 9556 9602 9649 9695 9742 9789 9835 47 933 9882 9928 9975 970021 970068 97 01 14 970161 97 0207 970254 970300 47 934 97 0347 97 0393 970440 0486 0533 °579 0626 0672 0719 0765 46 935 97 0812 97 0858 97 0904 970951 97 0997 97 i°44 97 1090 97 "37 971183 97 1229 46 936 1276 1322 1369 1415 1461 1508 1554 1601 1647 1693 46 937 1740 1786 1832 1879 1925 1971 2018 2064 21 10 2157 46 938 2203 2249 2295 2342 2388 2434 2481 2527 2573 2619 46 939 2666 2712 2758 2804 2851 2897 2943 2989 3035 3082 46 N. 1 2 3 4 5 6 7 8 9 D. 16 LOGARITHMS OF NUMBERS. N. 1 2 3 4 5 6 7 8 9 D. 940 973128 973174 97 3220 97 3266 97 3313 97 3359 97 3405 97 345 ! 97 3497 97 3543 46 941 3590 3636 3682 3728 3774 3820 3866 3913 3959 4005 46 942 4051 4097 4H3 4189 4235 4281 4327 4374 4420 4466 46 943 4512 4558 4604 4650 4696 4742 4788 4834 4880 4926 46 944 4972 5018 5064 5110 5156 5202 5248 5294 5340 5386 46 945 97 5432 97 5478 97 5524 97 557° 975616 97 5662 97 5707 97 5753 97 5799 97 5845 46 946 5891 5937 5983 6029 6075 6121 6167 6212 6258 6304 46 947 635° 6396 6442 6488 6533 6579 6625 6671 6717 6763 46 948 6808 6854 6900 6946 6992 7037 7083 7129 7175 7220 -46 949 7266 73i2 7358 7403 7449 7495 754i 7586 7632 7678 46 950 97 7724 97 7769 97 7SI5 97 7861 97 79o6 97 7952 97 7998 97 8043 97 8089 97 8135 46 95i 8181 8226 8272 8317 8363 8409 8454 8500 8546 8591 46 952 8637 8683 8728 8774 8819 8865 891 1 8956 9002 9047 46 953 9093 9i38 9184 9230 9275 932i 9366 9412 9457 95°3 46 954 9548 9594 9639 9685 9730 9776 9821 9867 9912 9958 46 955 980003 98 0049 980094 980140 98 01 85 980231 980276 980322 98 0367 980412 45 956 045S 0503 0549 0594 0640 0685 0730 0776 0821 0867 45 957 0912 0957 1003 1048 1093 "39 1 184 1229 1275 1320 45 958 1366 141 1 I45 6 1501 . 1547 1592 1637 1683 1728 1773 45 959 1819 1864 1909 1954 2000 2045 2090 2135 2181 2226 45 960 98 2271 982316 98 2362 98 2407 98 2452 98 2497 98 2543 98 2588 98 2633 98 2678 45 961 2723 2769 2814 2859 2904 2949 2994 3040 3085 3130 45 962 3175 3220 3265 33io 3356 340i 3446 349i 3536 358i 45 963 3626 3671 37i6 3762 3807 3852 3897 3942 3987 4032 45 964 4077 4122 4167 4212 4257 4302 4347 4392 4437 4482 45 965 984527 98 4572 984617 98 4662 98 47°7 984752 98 4797 98 4842 98 4S87 984932 45 966 4977 5022 5067 5112 5157 5202 5 2 47 5292 5337 5382 45 967 5426 547 » 55i6 556i 5606 5651 5696 574i 5786 5830 45 968 5875 5920 5965 6010 6055 6100 6144 6189 6234 6279 45 969 6324 6369 6413 6458 6503 6548 6593 6637 6682 6727 45 970 986772 986817 98 6861 98 6906 986951 98 6996 98 7040 98 7085 98 7130 98 7175 45 971 7219 7264 7309 7353 7398 7443 74S8 7577 7622 45 972 7666 7711 7756 7800 7845 7890 7934 7979 8024 8068 45 973 8113 8i57 8202 8247 8291 8336 8381 8425 8470 8514 45 974 8559 8604 8648 8693 8737 8782 8826 8871 8916 8960 45 975 976 98 9005 9450 98 9049 98 9094 989138 9583 989183 9628 989227 9672 989272 9717 989316 9761 98 9361 9806 98 9405 9850 45 44 9494 9539 977 9895 9939 9983 1 99 0028 99 0072 990117 990161 99 0206 99 0250 99 0294 44 978 99 0339 99 0383 99 0428 0472 0516 0561 0605 0650 0694 0738 44 979 0783 0827 0871 0916 0960 1004 1049 1093 "37 1 182 44 980 99 1226 99 1270 99I3I5 99 1359 99 H03 99 x 448 99 1492 99 1536 99 1580 99 1625 44 981 1669 1713 1758 1802 1846 1890 1935 1979 2023 2067 44 982, 2111 2156 2200 2244 2288 2333 2377 2421 2465 2509 44 983 2554 2598 2642 26S6 2730 2774 2819 2863 2907 2951 44 984 2995 3°39 3083 3127 3172 3216 3260 33°4 3348 3393 44 985 99 3436 99 348o 99 3524 993568 99 36i3 99 3657 99 37 QI 99 3745 99 3789 99 3833 44 986 3877 392i 3965 4009 4053 4097 4141 4185 4229 4273 44 987 4317 436i 4405 4449 4493 4537 458i 4625 4669 47 J 3 44 988 4757 4801 4845 4889 4933 4977 5021 5065 5108 5*5* 44 989 5'96 5240 5284 5328 5372 54i6 5460 5504 5547 559i 44 990 99 5 6 35 99 5 6 79 99 5723 99 5767 99 581 1 99 5854 99 5898 99 5942 99 5986 996030 44 991 6074 6117 6161 6205 6249 6293 6337 6380 6424 6468 44 992 6512 6555 6599 6643 6687 6731 6774 6818 6862 6906 44 993 6949 6993 7°37 70S0 7124 7168 7212 7255 7299 7343 44 994 7386 7430 7474 75 1 7 756i 7605 7648 7692 7736 7779 44 995 99 7823 99 7867 99 79io 99 7954 99 7998 99 8041 99 8085 99 8129 998172 99 8216 44 996 8259 8303 8347 8390 8434 8477 8521 8564 8608 8652 44 997 8695 8739 8782 8826 8869 8913 8956 9000 9043 9087 44 998 9131 9174 9218 9261 9305 9348 9392 9435 9479 9522 44 999 9565 9609 9652 9696 9739 9783 9826 9870 99«3 9957 43 N. 1 2 3 4 5 6 7 8 9 D. A TABLE LOGARITHMIC SINES, COSINES, TANGENTS AND COTANGENTS, DEGREE AND MINUTE FROM 0° TO 90°. 18 LOGARITHMIC SINES, COSINES, TANGENTS, 0° AND COTANGENTS. 23 24 25 26 27 2& 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 5° 5i 52 53 54 55 56 57 53 59 60 6.463 726 .764 756 .940 847 7.065 786 7.162696 .241 877 .308 824 .366816 .417968 7.463 726 .505 1 18 .542 906 .577668 .609 853 7.639 816 .667 845 •694 173 •7 l8 997 .742 478 7.764754 .785 943 .806 146 .825451 •843 934 7.861 662 •878 695 .895 085 .910 879 .926 119 7.940 842 .955 082 .968 870 .982 233 •995 198 8.007 787 .020021 .031 919 .043 501 .054781 8.065 776 .076 500 .086 965 .097 183 .107 167 8.116926 .126471 .135810 • 144 953 •153 907 8.162 681 .171 280 •179 7*3 .187985 .196 102 8.204 070 .211895 .219581 .227 134 •234 557 8241 855 Ooa. 5017.17 2934-85 2082.32 1615.17 1319.68 "1578 966.53 852.53 762.63 689.87 629.80 579-37 536-42 499.38 467.15 438.80 41373 391-35 37!- 2 7 353-15 336-72 3 2I -75 308.05 295.47 283.88 273-I7 263.23 254.00 245.38 237-33 229.80 222.72 216.08 209.82 203.90 198.30 I93-03 188.00 183.25 I78-73 174.42 170.30 166.40 162.65 159.08 I55-65 152.38 149.23 146-23 I43.32 140.55 I37.87 - 135.28 132.80 130.42 128.10 125.88 123.72 121.63 D. 1". Cos, 10.000000 .000000 .000000 .000000 .000 000 10.000000 9.999 999 •999 999 •999 999 •999 999 9.999 998 .999 998 •999 997 •999 997 •999 996 9.999 996 •999 995 •999 995 •999 994 •999 993 9-999 993 •999 992 •999 99i •999 990 •999 989 9.999 989 •999 988 •999 987 •999 986 •999 985 9-999 983 •999 982 .999981 •999 98o •999 979 9.999 977 •999 976 •999 975 •999 973 .999 972 9.999971 •999 969 •999 968 •999 966 •999 964 9-999 963 •999 961 •999 959 •999 958 •999 956 9-999 954 •999 95 2 •999 95° •999 948 •999 946 9.999 944 •999 942 •999 940 •999 938 •999 936 9999 934 Sin. .02 .02 .02 .02 •03 .02 .02 •03 .02 .02 •03 .02 •03 •03 .02 •03 •03 .02 •03 •03 •03 •03 •03 •03 •03 •03 •03 .03 •03 •°3 Tan, 6.463 726 .764756 •940 847 7.065 786 7.162 696 .241 878 .308 825 .366817 .417970 7-463 727 .505 120 .542 909 .577672 .609 857 7.639 820 .667 849 .694179 .719003 .742 484 7.764761 .785951 .806 155 .825 460 •843 944 7.861 674 .878 708 .895 099 .910 894 .926 134 7.940 858 •955 IO ° .968 889 .982 253 •995 2I 9 8.007 809 .020 044 .031 945 •043 5 2 7 .054 809 8.065 806 •076 53i .086 997 .097217 .107 203 8. 1 16 963 .126 510 .135851 .144996 •I53 95 2 8.162 727 .171 328 .179763 .188036 .196 156 8.204 126 •211 953 .219641 .227 195 .234621 8.241 921 Got Cot. 5017.17 2934-S5 2082.32 1615.17 1319.70 1115.78 966.53 852.55 762.62 689.88 629.82 579-38 536-42 499.38 467.15 438-83 413-73 391-35 371.28 353-!7 336-73 321-75 308.07 295.50 283.90 273.18 263.25 254.00 245.40 237-37 229.82 222.73 216.10 209.83 203.92 198.35 19303 188.03 183.28 I78-75 174-43 1 7°-33 166.43 162.67 159.12 155.68 152.42 149.27 146.25 M-3-35 140.58 137.88 135-33 132.83 13045 128.13 125.90 123-77 121.67 D. 1". — 00 3-536 274 .235 244 •059 153 2-934 214 2.837 304 .75S122 .691 175 ■633 183 .582 030 2.536273 .494 880 457 09I .422 328 •390 143 2.360 180 •332 I5 1 .305 821 .2S0997 .257516 2.235 239 .214049 .193 845 •174 540 .156056 2.138326 .121 292 .104901 .089 106 .073 866 2.059 142 .044900 .031 in •017747 .004 781 1.992 191 •979 956 .968055 •956 473 •945 '9i 1-934 194 .923 469 .913003 .902 783 .892 797 1.883037 •873 490 .864 149 .855 004 .846 048 1-837 273 .828 672 .820 237 .811 964 .803 844 I-795 874 .788 047 •78o359 .772 805 •765 379 1.758079 Tan. 89° LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 1° 19 Sin. D. 1". D. 1' Tan. D. 1' Cot. o S.241 855 I •249 033 2 .256 094 3 .263 042 4 .269881 S 8.276614 6 .283 243 7 •289 773 8 .296 207 9 .302 546 IO 8.308 794 ii •3H954 12 .321 027 13 .327016 14 •332 924 15 8.338 753 ib •344 5°4 *7 .350181 iS •355 783 19 •361 315 20 8.366 777 21 •372 17 1 22 •377 499 2.3 .382 762 24 .387 962 25 8.393 101 26 .398179 27 .403 199 28 .408 161 29 .413068 3° 8.417 919 31 .422717 32 .427 462 33 •432 156 34 .436 800 35 8.441 394 3b •445 94i 37 .450 440 38 ■454 893 39 •459 3°i 40 8.463 665 4i .467 985 42 .472 263 43 .476 498 44 ■480 693 45 8.484 848 46 •488 963 47 •493 040 48 •497 078 49 .501 080 So 8.505 045 5i .508 974 52 .512867 53 .516 726 54 •520551 55 8.524 343 56 .528 102 57 .531 828 58 •535 523 59 •539 186 60 8.542 819 119.63 117.68 115.80 113.98 112.22 IIO.48 I08.83 IO7.23 IO5.65 IO4.I3 IO2.67 IOI.22 99.82 98.47 97-15 95-85 94.62 93-37 92.20 91.03 89.90 88.80 87.72 86.67 85-65 84.63 83.67 82.70 81.78 80.85 79-97 79.08 78.23 77.40 7 6 -57 75-78 74.98 74.22 73-47 7 2 -73 72.00 7!-3° 70.58 69.92 69.25 68.58 67.95 67.30 66.70 66.08 65.48 64.88 64.32 63-75 63.20 62.65 62.10 61.58 61.05 60.55 D. 1". 9-999 934 ■999 932 •999 929 •999 927 •999 925 9.999 922 •999 920 .999918 .999915 •999 913 9.999910 •999 907 •999 905 .999 902 •999 899 9.999 897 •999 894 •999 891 .999 888 •999 885 9.999 882 •999 879 •999 876 •999 873 •999 870 9.999 867 .999 864 .999 861 •999 858 •999 854 9.999851 .999 848 •999 844 •999 841 •999 838 9-999 834 .999831 •999 827 .999 824 .999 820 9.999816 .999813 •999 809 •999 805 .999 801 9.999 797 •999 794 •999 790 •999 786 •999 782 9.999 778 ■999 774 •999 7 6 9 •999 765 •999 761 9-999 757 •999 753 •999 748 •999 744 •999 740 9-999 735 Sin. 88° 8.241 921 .249 102 .256 165 .263115 .269 956 8.276691 •283 323 .289 856 .296 292 .302 634 8.308 884 .315 046 .321 122 •327 "4 •333025 8.338 856 •344 6io .350 289 •355 895 .361 430 8.366 895 .372 292 •377 622 .382 889 .388 092 8-393 234 •398 3 l S •403 338 .408 304 •413213 8.418068 .422 869 .427 618 •432315 .436 962 8.441 560 .446 1 10 .450613 •455 070 .459481 8.463 849 .468 172 .472454 .476 693 .480 892 8.485 050 .489 170 ■493 250 ■497 293 .501 298 8.505 267 .509 200 .513098 .516 961 .520 790 8.524 586 •528 349 .532080 •535 779 •539 447 8-543 084 Cot. 119.68 117.72 115.83 114.02 112.25 110.53 108.88 107.27 105.70 104.17 102.70 101.27 99.87 98.52 97.18 95-90 94-65 93-43 92.25 91.08 89.95 88.83 87.78 86.72 85.70 84.68 83-72 82.77 81.82 80.92 80.02 79-15 78.28 77-45 76.63 75-83 75-°5 74.28 73-52 72.80 72.05 71-37 70.65 69.98 69.30 68.67 68.00 67.38 66.75 66.15 65-55 64.97 64.38 63.82 63.27 62.72 62.18 61.65 61.13 60.62 D. 1". 1.758079 .750 898 •743 835 .736885 .730044 1.723309 .716 677 .710144 .703 708 .697 366 1. 691 116 •684 954 .678 878 .672 886 .666 975 1.661 144 •655 390 .649711 .644 105 .638570 1.633 i°5 .627 708 .622 378 .617 in .61 1 908 1.606766 .601 685 .596 662 .591 696 .586 787 1-581 932 •577 131 .572382 .567 685 •563 038 1.558440 •553890 •549 387 •544 93° •54° 5*9 1.536 151 •531 828 .527 546 •523 307 .519 108 1. 514950 .510830 •506 75° .502 707 .498 702 1-494 733 .490 800 .486 902 •483 039 .479 210 1-475 4i4 .471 651 .467 920 .464 221 ■460 553 1.456916 Tan. 20 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 2° Sin. D. 1", Cos. D. 1' Tan. D. 1". Cot. o 8.542819 I .546 422 2 •549 995 3 •553 539 4 •557 054 5 8.560 540 6 •5 6 3 999 7 •5 6 7 43i 8 .570836 9 .574214 10 8.577 566 ii .580 892 12 •5 8 4 193 13 .587 469 14 .590 721 15 8-593 948 ib •597I5 2 17 .600 332 18 .603 489 19 .606 623 20 8.609 734 21 .612823 22 .615891 23 .618937 24 .621 962 25 8.624 965 .627 948 26 27 .630911 28 •633 854 29 .636 776 30 8.639 680 31 .642 563 32 .645 428 33 .648 274 34 .651 102 35 8.653 91 1 36 .^6702 37 •659 475 38 .662 230 39 .664 968 40 8.667 689 4i •670 393 42 .673 080 43 •675 751 44 .678 405 45 8.681 043 46 .683 665 47 .686 272 48 .688 863 49 .691 438 50 8.693 998 5i .696 543 52 •699 073 53 .701 589 54 .704090 55 8.706 577 5b .709 049 57 .711507 58 •7J395 2 59 •716383 60 8.718800 60.05 59-55 59-o7 58.58 58.10 57-65 57.20 56-75 56.30 55-87 55-43 55.02 54.60 54.20 53-78 53-40 53.00 52.62 5 2 - 2 3 5I-85 5148 5'-!3 50.77 50.42 50.05 49.72 4938 4905 48.70 48.40 48.05 47-75 47-43 47-13 46.82 46.52 46.22 45.92 45-63 45-35 45-°7 44.78 44-5 2 44-23 43-97 43-70 43-45 43-18 42.92 42.67 42.42 42.17 41-93 41.68 41.45 41.20 40.97 40.75 40.52 40.28 D. 1". 9-999 735 •999 73i •999 726 •999 722 .999717 9-999 7 f 3 •999 708 •999 704 •999 699 ■999 694 9.999 689 •999 685 .999 680 •999 675 •999 670 9.999 665 .999 660 •999 655 •999 650 •999 645 9.999 640 •999 635 •999 629 •999 624 •999 619 9.999614 .999 608 •999 603 •999 597 •999 592 9.999 586 •999 581 •999 575 •999 57° •999 564 9.999 558 •999 553 •999 547 ■999 54i •999 535 9-999 529 •999 524 .999518 .999512 •999 5°6 9.999 500 •999 493 •999 487 .999481 •999 475 9.999 469 •999 463 •999 456 ■999 45° •999 443 9-999 437 .999 431 •999 424 .999418 .999411 9.999 404 D.l" 8.543 084 .546 691 .550 268 •553817 •557336 8.560 828 .564 291 •567 727 •571 137 .574520 8.577877 .581 208 .584514 •587 795 ■591 051 8.594 283 •597 492 .600 677 •603 839 .606 978 8.610094 .613 189 .616262 •619 313 .622 343 8.625 35 2 .628 340 .631 308 •634 256 .637 184 8.640 093 .642 982 •645 853 .648 704 •651 537 8.654 35 2 •657 149 .659 928 .662 689 •665 433 8.668 160 .670 870 •673 563 •676239 .678 900 8.681 544 .684 172 .686 784 .689 381 .691 963 8.694529 .697081 .699617 .702 139 .704 646 8.707 140 .709 618 .712083 •714 534 .716972 8-7I9 396 Cot. 60.12 59.62 59-15 58.65 58.20 57-72 57.27 56.83 56.38 55-95 55-52 55- 10 54.68 54-27 53-87 5348 53-o8 52.70 52-32 51-93 5I-58 51.22 50.85 50.50 50-15 49.80 49-47 49-13 48.80 48.48 48.15 47-85 47.52 47.22 46.92 46.62 46.32 46.02 45-73 4545 45*7 44.88 44.60 44-35 44.07 43-8o 43-53 43.28 43-03 42.77 4 2 -53 42.27 42.03 41.78 41-57 41.30 41.08 40.85 40.63 40.40 D. 1". 1.456 916 60 453 309 59 •449 732 58 .446 183 57 .442 664 56 1.439 172 55 435 709 54 432 273 53 .428 863 52 .425 480 5i 1.422 123 50 .418792 49 415486 48 .412 205 47 .408 949 46 1.405 717 45 .402 508 44 •399 3 2 3 43 .396 161 42 .393022 4i 1.389906 40 .386811 39 •383 738 38 .380 687 37 ■377 657 36 1.374648 35 .371 660 34 .368 692 33 •365 744 32 .362816 3i I-359 907 30 .357018 29 •354 147 28 .351 296 27 •348 463 26 1.345 648 25 •342851 24 .340072 23 •337 3ii 22 •334 567 21 1. 33 1 840 20 •329 130 19 •326 437 18 .3 2 3 761 17 .321 100 16 1.318456 15 .315828 14 .313216 13 .310619 12 .308037 11 1.305 471 10 .302919 9 .300 383 8 .297 861 7 • 2 95 354 6 1.292 860 5 .290 382 4 .287917 3 .285 466 2 .283 028 1 1.280604 LOGARITHMIC SINES, COSINES, TANGENTS, 3° AND COTANGENTS. 21 D. 1". Cos. Tan. D. 1". Cot. o 8.718800 I .721 204 2 •723 595 3 .725 972 4 •728 337 5 8.730 688 b •733027 7 •735 354 8 •737 667 9 •739 969 10 8.742 259 ii •744 536 12 .746 802 13 •749 055 *4 .751 297 15 8-753 528 ib •755 747 17 •757 955 18 .760151 19 •762 337 20 8.764 51 1 21 .766 675 22 .768 828 23 .770970 24 •773 101 25 8-775 223 26 •777 333 27 •779 434 28 .781 524 29 •783 605 3° 8.785 675 31 .787 736 32 .789 787 33 .791 828 34 •793 859 15 8.795 881 36 •797 894 37 •799 897 38 .801 892 39 .803 876 40 8.805 852 4i .807819 42 •809 777 43 .811 726 44 .813667 45 8.815599 46 .817 522 47 .819436 48 •821 343 49 .823 240 50 8.825 130 5i .827011 52 .828 884 53 .830 749 54 .832 607 55 8.834456 5b .836 297 57 .838 130 58 •839 95 6 59 .841 774 60 8.843 585 40.07 39.85 39.62 3942 39.18 38.98 38.78 38-55 38.37 38.17 37-95 37-77 37-55 37-37 37-i8 36.98 36.80 36.60 36.43 36.23 36.07 35.88 35-7° 35-5 2 35-37 35-!7 35.02 34-83 34.68 34-5° 34-35 34.18 34.02 33-85 33-7° 33-55 33-38 33-25 33-o7 32-93 32.78 32.63 32.48 32.35 32.20 32.05 31.90 3I-78 31.62 3i-5° 31-35 31.22 31.08 30-97 30.82 30.68 30-55 30-43 3030 30.18 D. 1". 9.999 404 •999 398 •999 39i •999 384 •999 378 9-999 371 •999 364 •999 357 •999 35° •999 343 9-999 336 •999 329 •999 322 •999 315 •999 308 9.999 301 •999 294 •999 287 •999 279 •999 272 9.999 265 .999257 .999250 •999 2 42 •999 235 9.999 227 .999 220 .999212 •999 205 •999 J 97 9.999 189 .999 181 •999 ' 74 .999 166 •999 l 5% 9.999 150 •999 M2 •999 J 34 .999 126 .999118 9.999 no .999 102 •999 094 .999 086 •999 °77 9.999 069 .999 061 •999 053 •999 044 •999 036 9.999 027 .999019 .999010 .999 002 .998 993 9.998 984 •998 976 .998 967 •998 958 .998 950 9-998 94i Sin. .12 .12 •13 .12 .12 •13 .12 •13 .12 •13 .12 •13 .12 •13 •13 •13 .12 •*3 .13 •13 •13 •*3 .13 •13 •13 .13 •13 •*3 •15 • J 3 .13 •13 •15 •13 •15 •13 •15 •13 •15 •15 •13 •15 • l 5 •13 •15 D.1" 86° 8.719396 .721 806 .724 204 .726 588 •728959 8-731 3i7 •733 663 •735 996 •738 317 .740 626 8.742 922 •745 207 •747 479 •749 740 •75 ! 989 8.754227 •756 453 .758 668 .760872 .763 065 8.765 246 .767417 .769 578 .771 727 •773 866 S-775 995 .778114 .780 222 .782 320 .784 408 8.786 486 .788 554 .790 613 .792 662 •794 701 8.796 73i .798 752 .800 763 .802 765 .804 758 8.806 742 .808717 .810683 .812641 .814589 8.816529 .818461 .820 384 .822 298 .824 205 8.826 103 .827 992 .829 874 .831 748 •833613 8.835 47i •837 321 .839 163 .840 998 .842 825 8.844 644 Cot. 40.17 39-97 39-73 39-52 39-30 39.10 38.88 38.68 38.48 38.27 38.08 37-87 37.68 3748 37-3o 37-*o 36.92 36-73 36-55 36-35 36.18 36.02 35.82 35-65 3548 35-32 35-!3 34-97 34.80 34-63 34-47 34-32 34-15 33-98 33-83 33-68 33-52 33-37 33-22 33-07 32.92 32-77 32-63 32-47 32-33 32.20 32-05 31.90 3i-78 3163 31.48 31-37 31-23 31.08 30.97 30.83 30.70 30.58 3045 30.32 D. 1". 1.280604 .278 194 •275 796 .273412 .271 041 1.268683 .266 337 .264004 .261 683 •259 374 1.257078 •254 793 .252 521 .250 260 .248 01 1 1-245 773 •243 547 .241 332 .239 128 •236 935 1-234 754 •232 583 .230422 .228 273 .226 134 1.224005 .221 886 .219778 .217680 •215 592 1.213514 .211 446 .209 387 •207 338 .205 299 1.203 269 .201 248 .199237 •197 235 .195 242 1. 193 258 .191 283 .189317 .187 359 .185411 1.183471 .181539 .179 616 .177702 •175 795 I-I73 897 .172008 .170 126 .168 252 .166387 1. 164 529 .162 679 .160837 .159002 •157 175 i-!55 356 Tan. 22 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 40 Sin, D. 1". Cos. Tan. D. 1". Cot. 8.843 585 •845 387 .847 183 .848971 .850751 8.852525 .854291 .856 049 .857 801 .859 546 8.861 283 .863014 •864 738 •866 455 .868 165 8.869 868 .871 565 •873255 •874 938 .876615 8.878 285 •879 949 .881 607 .883 258 •884 903 8.886 542 .888 174 .889 801 .891 421 •893 035 8.894 643 .896 246 .897 842 .899 432 .901 017 8.902 596 .904 169 .905 736 .907 297 .908 853 8.910404 .911949 .913488 .915 022 .916550 8.918073 .919591 .921 103 .922 610 .924112 8.925 609 .927 100 .928 587 .930 068 •931 544 8.933 015 .934481 •935 942 •937 398 •938 850 8.940 296 Oos. 30-03 29-93 29.80 29.67 29.57 29-43 29.30 29.20 29.08 28.95 28.85 28.73 28.62 28.50 28.38 28.28 28.17 28.05 27.95 27-83 27-73 27.63 27.52 27.42 27.32 27.20 27.12 27.00 26.90 26.80 26.72 26.60 26.50 26.42 26.32 26.22 26.12 26.02 25-93 25-85 25-75 25-65 25-57 25-47 25.38 25-30 25.20 25.12 2503 2495 24.85 24.78 24.68 24.60 24.52 24-43 24-35 24.27 24.20 24.10 D. 1". 9.998 941 .998 932 •998 923 .998914 •998 905 9.998 896 .998 887 .998 878 .998 869 .998 860 9.998851 .998 841 .998 832 .998 823 .998813 9.998 804 .998 795 •998 785 •998 776 .998 766 9.998 757 •998 747 •998 738 .998 728 .998 718 9.998 708 •998 699 .998 689 •998 679 .998 669 9.998 659 .998 649 .998 639 .998 629 .998 619 9.998 609 •998 599 •998 589 •998 578 .998 568 9-998 558 •998 548 •998 537 ■998 527 .998516 9.998 506 .998 495 •998 485 •998 474 •998 464 9-998 453 .998 442 .998431 .998421 .998410 9.998 399 .998 388 •998 377 .998 366 ■998 355 9998 344 Sin. .18 .18 D. 1". 85° 8.844 644 .846455 .848 260 .850057 .851 846 8.853 628 •855 403 .857171 •858 932 .860 686 8.862 433 •864173 .865 906 .867 632 .869351 8.871 064 .872 770 .874 469 .876 162 .877 849 8.879 529 .881 202 .882 869 •884 530 .886 185 8.887 833 .889 476 .891 112 .S92 742 .894 366 8.895 984 •897 596 .899 203 .900 S03 .902 398 8.903 987 .905 570 .907 147 .908 719 .910285 8.91 1 846 .913401 •914 95 1 .916495 .918034 8.919568 .921 096 .922619 .924 136 .925 649 8.927 156 .928 658 •930 155 •93i 647 •933 134 8.934616 •936 093 •937 5 6 5 •939032 •940 494 8-941 95 2 Cot. 30.18 30.08 29.95 29.82 29.70 29-58 29.47 29-35 29.23 29.12 29.00 28.88 28.77 28.65 28.55 28.43 28.32 28.22 28.12 28.00 27.88 27.78 27.68 27.58 27.47 27-38 27.27 27.17 27.07 26.97 26.87 26.78 26.67 26.58 26.48 26.38 26.28 26.20 26.10 26.02 25.92 25-83 25-73 25-65 25-57 25-47 25.38 25.28 25.22 25.12 2503 24-95 24.87 24.78 24.70 24.62 24-53 24.45 24-37 24.30 D. 1". I-I55 356 •153 545 .151 740 •149 943 .148 154 1. 146 372 •144 597 .142 S29 .141 068 •139 314 1. 137 567 •135827 .134094 .132368 .130649 1. 128 936 .127230 •125 531 .123838 .122151 1.120471 .118798 .117 131 • 1 15 47° .113815 1. 112 167 .110 524 .108 888 .107 258 .105 634 1. 104 016 .102404 .100797 •099 197 .097 602 1.096 013 •094 43° .092 853 .091 281 .089 715 1.088 154 .0S6 599 .0S5 049 .083 505 .081 966 1.0S0432 .078 904 .077381 •075 864 •074 35 « 1.072 S44 .071 342 .069 845 .068 353 .066 866 1.065 384 •063 907 .062 435 .060 968 .059 506 1.058048 Tan. LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 5° 23 M. Sin, o 8.940 296 I .941 738 2 •943 174 3 .944606 4 .946 034 5 8-947 45° 6 .948 874 7 .950 287 8 .951 696 9 •953 100 IO 8-954 499 ii •955 8 94 12 •957 2 84 13 .958 670 14 .960052 15 8.961 429 16 .962 801 17 .964170 18 •965 534 19 .966 893 20 8.968 249 21 .969 600 22 .970 947 23 .972 289 24 .973 628 25 8.974 962 26 .976 293 27 .977619 28 .978 941 29 .980 259 30 8.981 573 .982 883 31 32 .984 189 33 .985 491 34 .986 789 35 8.988 083 36 •989 374 37 .990 660 38 •99i 943 39 .993 222 40 8-994 497 41 •995 768 42 •997 °36 43 •998 299 44 •999 5 6 ° 45 9.000816 46 .002 069 47 .003318 48 .004 563 .005 805 49 SO 9.007 044 5i .008 278 52 .009 510 53 .010 737 54 .011 962 55 9.013 182 5b .014 400 57 .015613 58 .016824 59 .018031 60 9.019 235 Cos. D. 1". 24.03 23-93 23.87 23.80 23.70 23-63 23-55 23.48 23.40 23-3 2 23.25 23-17 23.10 23-03 22.95 22.87 22.82 22.73 22.65 22.60 22.52 22.45 22.37 22.32 22.23 22.18 22.10 22.03 21.97 21.90 21.83 21.77 21.70 21.63 21-57 21.52 21-43 21.38 21.32 21.25 21.18 21.13 21.05 21.02 20.93 20.88 20.82 20.75 20.70 20.65 20.57 20.53 20.45 20.42 20.33 20.30 20.22 20.18 20.12 20.07 D. 1". 9.998 344 •998 333 .998 322 .998311 .998 300 9.998 289 •998 277 .998 266 •998 255 •998 243 9.998 232 .998 220 .998 209 •998 197 .998 186 9.998174 .998 163 .998 151 .998 139 .998 128 9.998 116 .998 104 .998 092 .998 080 .998 068 9.998 056 .998 044 •998 032 .998 020 .998 008 9.997 996 •997 984 •997 972 •997 959 •997 947 9-997 935 •997 922 •997 9io •997 897 •997 885 9.997 872 .997 860 •997 847 •997 835 .997 822 9.997 809 •997 797 •997 784 ■997 77i ■997 758 9-997 745 •997 732 .997719 •997 7° 6 •997 693 9.997 680 •997 667 •997 654 •997 641 .997 628 9.997614 D. 1". .20 .20 .22 .20 .20 .22 .22 .22 .22 .22 •23 D.1" 84 c Tan. 8.941 952 •943 404 •944 852 .946 295 •947 734 8.949 168 .950597 .952021 •953 441 •954 856 8.956 267 •957 674 •959075 .960 473 .961 866 8.963 255 .964 639 .966019 •967 394 .968 766 8-97° l 33 •97 1 496 .972855 •974 209 ■975 5 6 ° 8.976 906 .978 248 •979 586 .980921 .982 251 8-983 577 .984 899 .986217 •987 532 .988 842 8.990 149 .991451 •992 75° •994045 •995 337 8.996 624 •997 908 .999 188 9.000 465 .001 738 9.003 007 .004 272 •005 534 .006 792 .008 047 9.009 298 .010546 .011790 .013031 .014 268 9.015 502 .016 732 •OI7 959 .019 183 .020 403 9.021 620 Cot. D, 1". 24.20 24-13 24.05 23.98 23.90 23.82 23-73 23.67 23-58 23.52 23-45 23-35 23-30 23.22 23-15 23.07 23.00 22.92 22.87 22.78 22.72 22.65 22.57 22.52 22.43 22.37 22.30 22.25 22.17 22.10 22.03 21.97 21.92 21.83 21.78 21.70 21.65 21.58 21-53 21-45 21.40 21-33 21.28 21.22 21.15 21.08 21.03 20.97 20.92 20.85 20.80 20.73 20.68 20.62 20.57 20.50 20.45 20.40 20.33 20.28 D. 1". Cot. 1.058048 .056 596 .055 148 .053 7°5 .052 266 1.050 832 .049403 •047 979 •046 559 .045 144 1 -043 733 .042 326 .040 925 .039 527 .038 134 1.036 745 .035 361 .033981 .032 606 .031 234 1.029 867 .028 504 •027 145 •025 791 .024 440 1.023094 .021 752 .020414 .019079 .017749 1. 01 6 423 .015 101 •013783 .012468 .011 158 1.009 85 1 .008 549 .007 250 •o°5 955 .004 663 1.003376 .002 092 .000812 0-999 535 .998 262 0.996 993 •995 728 .994 466 •993 208 •99i 953 0.990 702 •989 454 .988 210 .986 969 .985 732 0.984 498 .983 268 .982 041 .980817 •979 597 0.978 380 Tan. 24 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 6° D. 1' Cos, Tan. D. 1' Cot, 9-< 9-' 019235 020 435 021 632 022 825 024016 025 203 026 386 027 567 028 744 029918 031 089 032 257 033421 034 582 035 74i 036 896 038 048 ■039 197 .040 342 .041 485 .042 625 .043 762 .044 895 .046 026 .047 154 .048 279 .049 400 .050519 .051 635 .052 749 •053 859 .054 966 .056071 .057 172 .058271 .059 367 .060 460 .061 551 .062 639 .063 724 .064 806 .065 885 .066 962 .068 036 .069 107 .070 176 .071 242 .072 306 .073 366 .074 424 .075 480 •076 533 •077 583 .078 631 .079 676 .080 719 .081 759 .082 797 .083 832 .084 864 .085 894 Cos. 20.00 19.95 19.88 19.85 19.78 19.72 19.68 19.62 19-57 19.52 1947 19.40 19-35 19.32 19-25 19.20 19-15 19.08 19.05 19.00 18.95 18.88 18.85 18.80 18.75 18.68 18.65 18.60 18.57 18.50 18.45 18.42 18.35 18.32 18.27 18.22 18.18 18.13 18.08 18.03 17.98 17-95 17.90 17.85 17.82 17.77 17-73 17.67 1763 17.60 17-55 17-5° 17-47 17.42 I7-38 17-33 I7-30 i7- 2 5 17.20 17.17 9-997 6l 4 .997 601 •997 588 •997 574 •997 5 61 9-997 547 •997 534 •997 5 2 ° •997 507 •997 493 9.997 480 •997 466 •997 45 2 •997 439 •997 425 9.997 41 1 •997 397 •997 383 •997 369 •997 355 9-997 341 •997 327 •997 313 •997 299 •997 285 9.997 271 •997 257 •997 242 .997 228 •997 214 9.997 199 •997 185 •997 »7 •997 i5 6 •997 Hi 9.997 127 .997112 .997 098 ■997 083 .997 068 9-997 053 •997 °39 •997 024 •997 °°9 .996 994 9.996 979 .996 964 .996 949 .996 934 .996919 9.996 904 .996 889 .996 874 •996 858 .996 843 9.996 828 .996812 .996 797 .996 782 .996 766 9.996751 9.021 620 .022 834 .024 044 .025251 .026 455 9.027 655 .028 852 .030 046 .031 237 .032 425 9.033 609 •034 791 .035 969 •037 144 .038316 9-039 485 .040 65 1 .041 813 •042 973 .044 130 9.045 284 •046 434 .047 582 .048 727 .049 869 9.051 008 .052 144 •053 277 •054 407 •°55 535 9.056659 •057 781 .058 900 .060016 .061 130 9.062 240 •063 348 .064453 •065 556 .066655 9.067 752 .068 846 •069 938 .071 027 .072113 9.073 197 .074 278 ■075 356 .076 432 •077 5°5 9.078 576 •079 644 .080 710 .081 773 .082 833 9.083 891 •084 947 .086 000 .087 050 .088 098 9.089 144 20.23 20.17 20.12 20.07 20.00 19-95 19.90 19-85 19.80 19-73 19.70 19.63 19.58 19-53 19.48 1943 19-37 19-33 19.28 19.23 19.17 I9-I3 19.08 19.03 18.98 18.93 18.88 18.83 18.80 18-73 18.70 18.65 18.60 18.57 18.50 18.47 18.42 18.38 18.32 18.28 18.23 18.20 18.15 18.10 18.07 18.02 17.97 17-93 17.88 I7-85 17.80 17.77 17.72 17.67 17-63 17.60 17-55 17-5° 1747 1743 0.978 380 .977 166 •975 95 6 •974 749 •973 545 0.972 345 .971 148 •969 954 .968 763 •967 575 0.966391 .965 209 .964031 .962 856 .961 684 0.960 5 1 5 ■959 349 •958 187 •957027 •955 870 0.954716 •953 5 66 .952418 ■951 273 •95° J 3i 0.948 992 •947 856 .946 723 •945 593 •944 465 0-943 341 .942 219 .941 100 •939 984 .938 870 o.937 76° .936 652 •935 547 •934 444 •933 345 0.932 248 •93i 154 .930 062 .928 973 .927 887 0.926 803 •925 722 ■924 644 .923 568 •922 495 0.921 424 .920 356 .919 290 .918 227 .917 167 0.916 109 •915 053 .914000 .912950 .911902 0.910856 D. 1' Bin, Cot. D. 1". Tan. 83° LOGARITHMIC SINES, COSINES, TANGENTS, 70 AND COTANGENTS. 25 Sin. 9.085 894 I .086 922 2 .087 947 3 .088 970 4 .089 990 5 9.091 008 6 .092 024 7 •093 °37 8 .094 047 9 .095 056 10 9.096 062 11 .097 065 12 .098 066 13 .099 065 14 .100062 i.S 9.101 056 16 .102048 17 .103037 18 .104025 19 .105 010 20 9.105992 21 .106973 22 .107951 23 .108927 24 .109 901 2S 9.1 10 873 26 .111 842 27 .112809 28 •"3 774 29 •"4 737 30 9.1 15 698 3i .116656 32 .117613 33 .118567 34 .119519 35 9.120469 36 .121417 37 .122 362 38 .123306 39 .124248 40 9.125 187 4i .126 125 42 . 1 27 060 43 .127993 44 .128925 45 9.129854 46 .130 781 47 .131 706 48 .132630 49 •133 55i SO 9-134 47° 51 •135 387 52 .136303 53 .137216 54 .138 128 55 9-139037 5b .139 944 57 .140 850 5« .141 754 59 .142 655 60 9-H3 555 Cos, D. 1' 17-13 17.08 17.05 17.00 16.97 16.93 16.88 16.83 16.82 16.77 16.72 16.68 16.65 16.62 16-57 16-53 16.48 16.47 16.42 16.37 16.35 16.30 16.27 16.23 16.20 16.15 16.12 16.08 16.05 16.02 15-97 15-95 15.90 15.87 15-83 15.80 15-75 15-73 i5-7o I5-65 I5-63 15.58 15-55 15-53 15.48 15-45 15-42 15.40 15-35 1532 15.28 15.27 15.22 15.20 15-15 15.12 15.10 1507 15.02 15.00 Cos. 9.996 75 1 •996 735 .996 720 •996 7°4 .996 688 9.996 673 •996657 .996 641 .996 625 .996610 9.996 594 •996578 .996 562 .996 546 •996 530 9.996514 .996 498 .996 482 •996 465 •996 449 9-996 433 .996417 .996 400 •996 384 •996 368 9-996 35 1 •996 335 .996318 .996 302 .996 285 9.996 269 .996 252 •996 235 .996219 .996 202 9.996 185 .996 168 .996151 .996 134 .996117 9.996 100 .996083 .996 066 .996 049 .996 032 9.996015 •995 998 •995 98o •995 963 •995 946 9.995 928 .995911 •995 894 •995 876 •995 859 9.995 841 •995 823 .995 806 •995 788 •995 77 1 9-995 753 D. 1". .27 •25 •27 •27 .25 .27 .27 •27 • 2 5 .27 •27 ■27 •27 •27 •27 •27 •27 .28 •27 .27 •27 .28 •27 •27 .28 •27 .28 •27 .28 ■27 .28 .28 •27 .28 .28 .28 .28 .28 .28 .28 .28 .28 .28 .28 .28 ■30 .28 .28 •30 .28 .28 •30 .28 •30 •30 .28 •30 .28 •30 82° Tan. 9.089 144 .090 187 .091 228 .092 266 .093 302 9.094 336 •095 367 •096 395 .097 422 .098 446 9.099 468 .100487 .101 504 .102 519 .103 532 9.104 542 • io 5 55° .106 556 • io 7 559 .108 560 9-109 559 .110 556 •"i 55i •112 543 •"3 533 9.114521 •"5 507 . 1 1 6 49 1 .117472 .118452 9.1 19 429 .120404 .121377 .122348 •123 317 9.124 284 .125 249 .126 211 .127172 .128 130 9.129087 .130041 .130994 • i3!944 •132893 9-I33 839 .134784 •135 726 .136667 •137605 9.138542 .139476 .140409 .141 340 .142 269 9.143 196 .144121 .145 044 .145 966 .146 8S5 9-147803 Cot. D. 1". 17-38 17-35 I7-30 17.27 I7-23 17.18 i7-!3 17.12 17.07 I7-03 16.98 16.95 16.92 16.88 16.83 16.80 16-77 16.72 16.68 16.65 16.62 16.58 16.53 16.50 16.47 16.43 16.40 16.35 16.33 16.28 16.25 16.22 16.18 16.15 16.12 16.08 16.03 16.02 15-97 15-95 15.90 15.88 I5-83 15.82 15-77 15-75 1570 15.68 15-63 15.62 15-57 15-55 15.52 15.48 15-45 I5-42 I5-38 15-37 I5-32 15.30 D. 1". Cot, 0.910 856 •909813 .908 772 •907 734 .906 698 0.905 664 •904 633 .903 605 .902 578 •901 554 0.900 532 .899513 .898 496 .897481 .896 468 0.895 458 .894 450 •893 444 .892441 .891 440 0.890 441 .889 444 .888 449 .887457 .886 467 0.885 479 •884 493 .883 509 .882 528 .881 548 0.880571 •879 596 .878 623 .877652 .876 683 0.875 7i6 •874 75 r •873 789 .872828 .871 870 0.870913 .869 959 .869 006 .868056 .867 107 0.866 161 .865 216 .864 274 ■863 333 .862 395 0.861 458 .860524 •859 591 .858 660 •857 73i 0.856 804 •855 879 •854 956 •854 034 •853 "5 0.852 197 Tan. 26 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS- 8° Sin. D. 1' Cos. D.l' Tan, D. 1". Cot. o 9 H3 555 i 144 453 2 145 349 3 146 243 4 147 136 5 9 148026 6 148 915 7 149 802 8 150686 9 'S 1 5 6 9 io 9 152 45i ii i53 33o 12 154 208 13 155 o8 3 14 155 957 15 9 156830 16 157 700 17 158569 18 159 435 19 160 301 20 9 161 164 21 162025 22 162885 23 163 743 24 164600 25 9 165454 26 166307 27 167 159 28 168008 29 168856 30 9 169 702 31 170 547 32 171 389 33 172230 34 173070 35 9 173908 36 174 744 37 175 578 38 1764" 39 177242 40 9 178072 41 178900 42 179726 43 180 551 44 181 374 45 9 182 196 46 183 016 47 183834 48 184 651 49 185 466 50 9 186280 5i 1 87 092 52 187903 53 188 712 54 189 519 55 9 190325 56 191 130 57 !9i 933 58 i9 2 734 59 193 534 60 9 194 33 2 Cos. 14-97 14-93 14.90 14.88 14.83 14.82 14.78 14-73 14.72 14.70 14.65 14.63 14.58 *4-57 H-55 14.50 14.48 14-43 14-43 14.38 14-35 14-33 14.30 14.28 14.23 14.22 14.20 I4-I5 14-13 14.10 14.08 14.03 14.02 14.00 13-97 13-93 13.90 13.88 13-85 13.80 13-77 »3-75 13-72 1370 1367 13-63 13.62 I3-58 13-57 13-53 1352 13.48 >3-45 13-43 13.42 I3-38 '3-35 13-33 13-30 D. 1". 9-995 753 •995 735 •995 717 •995 6 99 .995 681 9.995 664 •995 6 46 .995 628 •995 6l ° •995 59i 9-995 573 •995 555 •995 537 •995 5 X 9 •995 5 DI 9.995 482 •995 464 •995 446 •995 427 •995 409 9-995 39o •995 372 •995 353 •995 334 .995316 9-995 297 •995 278 .995 260 •995 2 4i .995 222 9.995 203 •995 J 84 •995 l6 5 •995 146 •995 I2 7 9.995 108 •995 089 •995 070 .995051 •995 032 9.995013 •994 993 •994 974 •994 955 •994 935 9.994916 •994 896 •994 877 •994 857 •994 838 9.994 818 •994 798 •994 779 •994 759 •994 739 9.994 720 •994 700 .994 680 .994 660 •994 640 9.994 620 30 30 3° 30 2S 30 3° SO 3- 30 30 30 30 30 32 30 30 32 30 3- 30 32 32 3° 52 32 30 32 32 32 32 32 32 32 32 32 32 32 32 32 33 32 32 33 32 33 32 33 32 33 33 32 33 33 32 33 33 33 33 33 P. 1" 81° 9.147803 .148718 .149632 ■ 150544 •i5 I 454 9152363 .153269 •154 174 •155077 •155 978 9.156877 •157 775 • 158671 • I 59 5°5 .160457 9.161 347 .162 236 .163 123 .164008 .164 892 9.165 774 .166 654 .167532 .168409 .169284 9.170 157 .171029 .171 899 .172767 •173634 9.174499 .175362 .176 224 .177084 .177942 9.178799 .179655 .180508 .181 360 .182 211 9.183059 .183907 .184752 •!85 597 .186439 9.187280 .188 120 .188958 .189 794 .190629 9.191 462 .192294 .193124 •193 953 .194780 9.195606 .196430 •197253 .19S074 .198894 9-J99 7I3 Cot. !5-25 15-23 15.20 15.17 15-15 15.10 15.08 15-05 15.02 14.98 1497 14.93 14.90 14.87 14.83 14.82 14.78 14-75 14-73 14.70 14.67 14.63 14.62 14.58 H-55 J 4-53 14.50 14.47 14.45 14.42 14.38 14-37 14-33 14.30 14.28 14.27 14.22 14.20 14.18 14-13 14-13 14.08 14.08 14.03 14.02 14.00 13-97 13-93 13.92 13-88 1387 1383 13.82 1378 »3-77 13-73 13-72 13.68 13-67 13-65 D. 1". 0.852 197 60 .851 282 59 .850 368 58 .849 456 57 .848 546 56 0.847 637 55 .846731 54 .845 826 53 .844 923 52 .844022 5i 0.843 123 50 .842 225 49 .841 329 48 .840 435 47 •839 543 46 0.838 653 45 •837 764 44 .836877 43 •835 992 42 .835 108 4i 0.834 226 40 •833 346 39 .832 468 38 •831 59i 37 .830716 36 0.829 843 35 .828971 34 .828 101 33 •827 233 32 .826 366 3i 0.825 501 30 .824 638 2q .823 776 28 .822 916 27 .822058 26 0.821 201 25 .820 345 24 .819492 2.3 .818640 22 .817789 21 0.816 941 20 .816093 19 .815 248 18 •814403 17 .813561 16 0.812 720 15 .811 8S0 H .811 042 1.3 .810 206 12 .809371 II 0.808 538 IO .807 706 9 .806 876 8 .806 047 7 .805 220 6 0.804 394 5 .803 570 4 .802 747 3 .801 926 2 .801 106 1 0.800 287 Tan. LOGARITHMIC SINES, COSINES, TANGENTS, 9° AND COTANGENTS. 27 M. Sin. D. 1". Cos. D. 1". Tan. D. 1". Cot. o 9-194 332 13.28 13-27 I3-23 1 2 20 9.994 620 ■33 9-199 7*3 13.60 ° 13.60 13-57 13-53 13-52 i3-5o 13-47 13-45 13-43 1340 o 800287 60 i .195 129 .994 600 .200 529 799471 59 2 •195 925 •994 580 ■33 ■33 ■33 •35 ■33 •33 •33 •35 ■33 •33 ■35 ■33 •35 ■33 •201 345 798 655 58 3 .196719 .994 560 .202 159 797 841 57 4 •197 5" 13-18 13.I5 I3-I3 13.12 13.08 13-05 •994 540 .202971 797 029 56 5 9.198 302 9-994 5 »9 9.203 782 796 218 55 6 .199091 •994 499 .204 592 795 408 54 7 .199879 •994 479 .205 400 794 600 53 8 .200 666 •994 459 .206 207 793 793 52 9 .201 451 •994 438 .207013 792 987 5i IO 9.202 234 9.994418 9.207817 792 183 5o ii .203 01 7 x 3- 5 13.00 •994 398 .208 619 1 3-37 13-35 13-33 13-30 13.28 79i 381 49 12 13 .203 797 .204 577 13.00 12.95 12.95 •994 377 •994 357 .209 420 .210 220 790 580 789 780 48 47 14 •205 354 •994 336 .211 018 788 982 46 15 9.206 131 9.994316 •35 •35 ■33 •35 •35 •35 9-211815 J 788 185 45 16 .206 906 12.88 •994 295 .212 611 '3- 2 7 1323 13.22 13-18 I3 .z8 13-13 787 389 44 17 .207 679 12.88 •994 274 .213405 786 595 43 18 .208 452 12.83 •994 254 .214 198 785 802 42 19 .209 222 12.83 •994 233 .214 989 785 01 1 4i 20 9.209 992 12.80 9.994212 9.215 780 7S4 220 40 21 .210 760 •994 191 .216568 783 432 39 22 23 24 .211 526 .212 291 •213055 12.77 12.75 12.73 12.72 12.68 12.65 12.65 12.62 12.58 12.57 12-55 12.53 12.50 12.48 •994 I7 1 •994 150 •994 129 •33 •35 •35 •35 •35 •35 •35 •35 •35 •35 .217356 .218 142 .218 926 I 3- I 3 13.10 13-07 13.07 o 1303 13.00 13.00 12.97 12.95 12.92 12.90 12.88 12.85 12.85 12.80 ° 12.80 12.77 12.77 12.72 12.72 12.68 7S2 644 781 858 781 074 38 37 36 25 26 9.213 818 .214579 9.994 108 ■994 087 9.219 710 .220 492 780 290 779 5°8 35 34 27 28 29 •215 338 .216097 .216 854 .994 066 •994 045 •994 024 .221 272 .222052 .222 830 778728 777 948 777170 33 32 3i 30 9.217 609 9.994 003 9.223 607 776 393 30 31 .218363 •993 982 .224 382 775618 29 32 33 34 .219 116 .219868 .220618 •993 960 •993 939 .993918 •37 •35 •35 •35 •37 •35 •37 •35 •37 •35 •37 •35 •37 •37 •35 •37 .225 156 .225 929 .226 700 774 844 774071 773 3oo 28 27 26 35 36 37 9.221 367 .222 115 .222 861 12.47 12.43 12.42 12.38 12.38 9-993 897 •993 875 •993 854 9.227471 .228 239 .229007 772 529 771 761 77o 993 25 24 23 38 39 .223 606 •224 349 •993 832 .993811 .229 773 •230 539 770 227 769 461 22 21 40 9.225 092 12.35 12.33 12.30 12.28 12.27 12.23 12.23 9-993 789 9.231 302 768 698 20 41 •225 833 •993 768 .232 065 767 935 19 42 43 44 .226 573 .227311 .228 048 •993 746 •993 725 •993 7°3 .232 826 .233 586 •234 345 12.67 12.65 12.63 1260 ° 767 174 766414 765 655 18 17 16 45 9.228 784 9.993 681 9.235 103 764 897 15 46 .229518 .993 660 •235 859 12.58 12.57 12.53 12.53 o 12.50 12.48 12.45 12.45 12.42 1240 ° 764 141 14 47 .230 252 •993 638 .236614 763 386 13 48 49 .230 984 •231 715 12.18 12.15 .993616 •993 594 •37 •37 •37 •37 .237 368 .238 120 762 632 761 880 12 11 50 9.232 444 12.13 9-993 572 9.238 872 761 128 10 5i •233 172 •993 55° .239 622 760 378 9 52 •233 899 ' •993 528 •37 •37 •37 •37 .240 371 759 629 8 53 .234 625 12.07 12.07 12.03 12.00 •993 5° 6 .241 118 758 882 7 54 •235 349 •993 484 .241 865 758 135 6 55 9.236073 9.993 462 9.242 610 757 39o 5 56 •236 795 •993 440 •37 •37 •37 •37 •38 •243 354 12^8 12.37 12.33 ,2.33 o 756 646 4 57 •237 5 J 5 .993418 •244 097 755 903 3 58 •238 235 11.97 "•95 •993 396 •244 839 755 l6j 2 59 •238953 •993 374 •245 579 754421 1 60 9.239 670 9-993 351 9.246319 753681 1 Cos. D, 1". Sin. D. 1". Cot. D. 1". Tan. M. 80° 28 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 10° M. Sin, D. 1". Cos. D. 1". Tan. D. 1". Cot. ■ 9.239 670 "•93 11.92 11.88 11.87 11.85 n.83 n 82 9-993 35 1 •37 •37 ■38 •37 •37 •38 •37 •38 9.246319 12.30 12.28 0.753 681 60 i .240 386 •993 329 •247057 •752 943 59 2 .241 101 •993 3°7 •247 794 .752 206 58 3 .241 814 •993 284 .248 530 12.27 •75 1 47° 57 4 .242 526 •993 262 .249 264 12.23 12.23 12.20 •75° 736 56 5 9-243 237 9.993 240 9.249998 0.750 002 55 6 •243 947 .993217 •250 730 12.18 •749 270 54 7 .244 656 11.78 11.77 11.77 11.72 11.72 11.70 11.67 11.65 •993 195 .251461 12.17 12.15 12.13 •748 539 53 8 •245 363 .993172 .252 191 •747 809 52 9 .246069 •993 149 ■3° ■37 •38 •38 .252920 .747 080 5i IO 9.246 775 9-993 127 9.253 648 0.746 352 5° ii .247 478 •993 i°4 •254 374 12.10 .745 626 49 12 .248 181 .993081 .255 100 .744900 48 13 .248 883 •993 059 •37 .38 •38 .255 824 12.07 12.05 12.03 .744176 47 14 .249 583 ■993 036 •256 547 •743 453 46 15 9.250 282 11.63 11.62 9-993 0I3 •38 ^8 9.257 269 0.742 731 45 16 .250 980 .992 990 .257990 1200 .742010 44 17 .251677 11.60 •992 967 ^8 .258710 11.98 11.95 "•95 .741 290 43 18 •252 373 "•57 11.57 "•53 11.52 11.50 11.48 11.47 11.45 11.42 11.42 ".38 "•37 "•35 ^■33 •992 944 •j 33 l 903 9-332 478 •333 05 ! •333 624 •334 195 •334 767 9-335 337 •335 906 •336 475 •337 043 •337 610 9-338 176 .338 742 •339 307 .339 871 •340 434 9.340 996 •34i 558 .342119 •342 679 •343 239 9-343 797 •344 355 .344912 •345 469 .346 024 9-346 579 •347 J 34 •347 687 .348 240 .348 792 9-349 343 •349 893 •35° 443 .350 992 •35 ' 540 9352 088 Cos. D. 1". 9.90 9.88 9.87 9-85 9-85 9-83 9.82 9.80 9.78 9-77 9-77 9-73 9-73 9.72 9.72 9.68 9.68 9.67 9.65 9-63 9.62 9.62 9.60 9-57 9-58 9-55 9-55 9-52 9-53 9.50 9.48 948 9-47 9-45 943 9-43 9.42 9.40 9.38 9-37 9-37 9-35 9-33 9-33 9-30 9-30 9.28 9.28 9-25 9.25 9-25 9.22 9.22 9.20 9.18 9.17 9.17 915 9-13 9-13 D. 1". Cos. 9.990 404 ■990 378 990351 •990 324 •990 297 9.990 270 .990 243 .990 215 .990 188 .990 161 9.990134 .990 107 .990 079 .990052 .990 025 9.989 997 •989 970 .989 942 .989915 .989 887 9.989 860 .989 832 .989 804 .989 777 .989 749 9.989 721 .989 693 .989 665 .989 637 .989 610 9.989 582 •989 553 .989 525 •989 497 .989 469 9.989 441 .989413 .989 385 .989 356 .989 328 9.989 300 .989271 .989 243 .989 214 .989 186 9-989 157 .989 128 .989 100 .989071 .989 042 9.989014 .988 985 .988 956 .988 927 .988 898 9.988 869 .988 840 .988811 .988 782 .988 753 9-988 724 Sin. D. 1' 43 •45 •45 •45 •45 •45 •47 •45 •45 ■45 •45 •47 •45 •45 •47 •45 •47 •45 •47 •45 •47 •47 •45 •47 •47 •47 •47 •47 •45 •47 .48 •47 •47 •47 •47 •47 •47 .48 -47 •47 .48 •47 .48 •47 .48 .48 •47 .48 .48 •47 .48 .48 .48 .48 .48 .48 .48 .48 .48 D.l' 770 Tan. 9-327 475 .328 095 •328715 •329 334 •329 953 9-330 570 •331 187 .331 803 •332 418 •333 033 9-333 646 •334 259 •334 871 •335 482 •336093 9.336 702 •337 3" •337 919 •338 527 •339 133 9-339 739 •340 344 .340 948 •341 552 •342 155 9-342 757 •343 358 •343 958 •344 558 •345 '57 9-345 755 •346 353 .346 949 •347 545 .348 141 9-348 735 •349 329 •349 922 •35° 5H .351 106 9-35 l 697 •352 287 .352876 •353 465 .354 053 9.354 640 •355 227 .355 813 .356 398 •356982 9-357 566 .358 149 .358 731 •359 313 •359 893 9.360 474 .361 053 .361 632 .362 210 .362 7S7 9 363 364 Cot. D. 1". 10.33 10.33 10.32 10.32 10.28 10.28 10.27 10.25 10.25 10.22 10.22 10.20 10.18 10.18 10.15 10.15 10.13 10.13 10.10 10.10 10.08 10.07 10.07 10.05 10.03 10.02 10.00 10.00 9.98 9-97 9-97 9-93 9-93 9-93 9.90 9.90 9.88 9.87 9.87 9-85 9-83 9.82 9.82 9.80 9.78 9.78 9-77 9-75 9-73 9-73 9.72 9.70 9.70 9.67 9.68 9.65 9-65 9-63 9.62 9.62 D. 1". Cot, 0.672 525 .671 905 .671 285 .670 666 .670 047 0.669 43° .668813 .668 197 .667 582 .666 967 0.666 354 .665 741 .665 129 .664518 .663 907 0.663 298 .662 689 .662081 .661 473 .660 867 0.660 261 .659656 .659052 .658448 .657 845 0.657 243 .656 642 .656 042 .655 442 .654 843 0.654 245 •653 647 .653051 .652455 .651859 0.651 265 .650 671 .650078 .649 486 .648 894 0.648 303 .647 7'3 .647 124 .646 535 .645 947 0.645 360 •644 773 .644 187 .643 602 .643018 0.642 434 .641 851 .641 269 .640 687 .640 107 0.639 526 .638 947 .638 368 •637 790 .637213 0.636 636 Tan. LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 81 13° M. D. 1". Cos. D. 1". Tan. D. 1". Cot. 9.35208b •35 2 6 35 •353 181 •353 7 2 6 •354 271 9-354 8I5 •355 358 •355 901 •35 6 443 .356 984 9-357 524 .358064 .358 603 •359 Hi •359 678 9.360215 .360 752 .361 287 .361 822 .362 356 9.362 889 .363422 •363 954 .364 485 .365016 9-365 546 .366075 .366 604 •367 131 •367 659 9.368 185 .368711 .369 236 .369 761 .370 285 9.370 808 •37i 330 •37i 852 •372 373 .372 894 9-373 414 •373 933 •374 45 2 •374 970 •375 487 9.376003 •376 5 J 9 •377 035 •377 549 .378 063 9-378 577 •379 089 .379 601 .380 113 .380 624 9-38i 134 .381 643 .382 152 .382 661 •383 168 9-383 675 Cos. 9.12 9.10 9.08 9.08 9.07 905 9-05 903 9.02 9.00 9.00 8.98 8.97 8-95 8.95 8.95 8.92 8.92 8.90 8.88 8.88 8.87 8.85 8.85 8.83 8.82 8.82 8.78 8.80 8.77 8.77 8.75 f-75 8-73 8.72 8.70 8.70 8.68 8.68 8.67 8.65 8.65 8.63 8.62 8.60 8.60 8.60 8-57 8.57 8.57 8-53 8-53 8-53 8.52 8.50 8.48 8.48 8.48 8.45 8-45 D. 1". 9.988 724 .988 695 .988 666 .988 636 .988 607 9.988 578 .988 548 .988519 .988 489 .988 460 9.988 430 .988 401 .988371 .988 342 .988312 9.988 282 .988 252 .988 223 .988 193 .988 163 9-988 133 .988 103 .988 073 .988 043 .988013 9.987 983 .987 953 .987 922 .987 892 .987 862 9.987 832 .987 801 .987 771 •987 740 .987 710 9.987 679 .987 649 .987 618 .987 588 •987 557 9.987 526 .987 496 .987 465 •987 434 •987 403 9.987 372 •987 341 .987 310 .987 279 .987 248 9.987217 .987 186 .987 155 .987 124 .987 092 9.987 061 .987 030 .986 998 .986 967 .986 936 9.986 904 Sin. 48 .48 50 48 .48 5° 4 S 5 ° 4S 50 4 s 50 4 s 50 50 5° 4 S 5° 50 5° 5° 50 5° 5° 50 5° S^ 50 5° 5° 52 50 52 5° 52 50 52 50 52 52 50 52 52 52 52 52 52 52 52 52 52 52 52 53 52 52 53 52 52 53 D, 1". 76? 9.363 364 •363940 •364 5 J 5 .365 090 .365 664 9-366 237 .366810 .367 382 •367 953 .368 524 9.369 094 •369 663 .370 232 •37° 799 •37 1 367 9-37 1 933 •372 499 •373 064 •373 629 •374 193 9-374 756 •375 319 •375 881 .376442 •377 003 9-377 563 .378122 .378 681 •379 239 •379 797 9.380 354 .380910 .381 466 .382 020 •382 575 9383 129 .383 682 •384 234 .384 786 •385 337 9.385 888 .3S6438 .386987 .387 536 .388 084 9.388 631 .389 178 .389 724 .390 270 .390815 9.391 360 •391 903 •392 447 .392 989 •393 53i 9-394 073 .394614 •395 154 •395 694 •396 233 9396 771 Cot. 9.60 9-58 9.58 9-57 9-55 9-55 9-53 9-52 9.52 9.50 9.48 9.48 9-45 9-47 9-43 9-43 9.42 9.42 9.40 9-38 9.38 9-37 9-35 9-35 9-33 9-32 9-32 9-30 9-30 9.28 9.27 9.27 9-23 9-25 9- 2 3 9.22 9.20 9.20 9.18 9.18 9.17 915 9.15 9-13 9.12 9.12 9.10 9.10 9.08 9.08 9-°5 9.07 9-03 903 903 9.02 9.00 9.00 8.98 8-97 D. 1". 0.636 636 .636 060 .635 485 .634910 •634 336 0.633 763 •633 190 .632618 .632 047 .631 476 0.630 906 •630 337 .629 768 .629 201 .628 633 0.628 067 .627 501 .626 936 .626 371 .625 807 0.625 244 .624 681 .624 119 .623 558 .622 997 0.622 437 .621 878 .621 319 .620 761 .620 203 0.619 646 .619090 .618534 .617 980 .617425 0.616 871 .616318 .615 766 .615 214 .614 663 O.614 112 .613 562 .613013 .612464 .611 916 0.61 1 369 .610822 .610 276 .609 730 .609 185 0.608 640 .608 097 •607 553 .607011 .606 469 0.605 927 .605 386 .604 846 .604306 .603 767 0.603 229 Tan. 32 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 14° D. 1' Cos. D. 1' Tan. D, 1". Cot. o 9383 675 I .384182 2 .384 687 3 .385 192 4 .385 697 5 9.386 201 6 .386 704 7 .387 207 8 .387 709 9 .388210 IO 9.388 711 ii .389211 12 •389 7" 1.3 .390 210 14 .390 708 15 9.391 206 ib •391 703 17 .392 199 18 .392 695 19 •393 191 20 9-393 685 21 •394 179 22 •394 673 23 •395 166 24 •395 »58 2S 9.396 150 26 .396 641 27 ■397 132 28 ■397 621 29 .398 in 3° 9.398 600 31 .399 088 32 •399 575 33 .400 062 34 .400 549 35 9.401 035 36 .401 520 37 .402 005 38 .402 489 39 .402 972 40 9403 455 4i •403 938 42 .404 420 43 .404 901 44 .405 382 45 9.405 862 46 .406 341 47 .406 820 48 .407 299 49 .407 777 SO 9.408 254 51 .408 731 52 .409 207 53 .409 682 54 .410 157 55 9.410632 56 .411 106 57 .411579 5« .412052 59 .412524 60 9.412996 Cos. 8-45 8.42 8.42 8.42 8.40 8.38 8.38 8-37 8-35 8-35 8-33 8-33 8.32 8.30 8.30 8.28 8.27 8.27 8.27 8.23 8.23 8.23 8.22 8.20 8.20 8.18 8.18 8.15 8.17 8.15 8.13 8.12 8.08 8.08 8.07 8.05 8.05 8.05 8.03 8.02 8.02 8.00 7.98 7.98 7.98 7-97 7-95 7-95 7-93 7.92 7.92 7.92 7.90 7.88 7.88 7.87 7.87 D. 1". 9.986 904 .986 873 .986 841 .986 809 .986 778 9.9S6 746 .986 714 .986 683 .986651 .986 619 9.986 587 •986 555 .986 523 .986491 .986 459 9.986 427 .986 395 .986 363 .986331 .986 299 9.986 266 .986 234 .986 202 .986 169 •986 137 9.986 104 .986 072 .986 039 .986 007 .985 974 9.985 942 .985 909 •985 876 •985 843 .985811 9.985 778 •985 745 •985 712 •985 679 .985 646 9.985613 .985 580 •985 547 •985 5*4 .985 480 9-985 447 .985 414 •985 38i •985 347 •985 3H 9.985 280 •985 247 •985213 .985 180 .985 146 9.985 113 •985 079 •985 045 .985011 .984 978 9.984 944 •52 •53 •53 •52 •53 •53 .52 •53 •53 •53 •53 •53 •53 •53 •53 •53 •53 •53 •53 •55 •53 ■53 •55 •53 •55 •53 •55 •53 •55 •53 •55 •55 •55 •53 •55 •55 •55 •55 •55 •55 •55 •55 •55 •57 •55 •55 •55 •57 •55 •57 •55 •57 •55 •57 •55 •57 •57 •57 •55 ■57 75° 9.396 771 •397 309 •397 846 •398 3^3 .398919 9-399 455 •399 99° .400 524 .401 058 .401 591 9.402 124 .402 656 .403 187 .403 718 .404 249 9.404 778 .405 308 .405 836 .406 364 .406 892 9.407419 .407 945 .408471 .408 996 .409 521 9.410 045 .410569 .411 092 .411615 .412 137 9.412 658 •413 179 .413699 .414219 .414 738 9415 257 415 775 .416293 .416810 .417326 9.417842 .418358 .418873 .419387 .419901 9.420415 .420 927 .421 440 .421 952 .422 463 9.422 974 .423 484 423 993 .424 503 .425 01 1 9425 5 !9 .426 027 .426 534 .427 041 427 547 9.428052 Got. 8.97 8-95 8-95 8-93 8-93 8.92 8.90 8.90 8.87 8.85 8.85 8.85 8.82 8.83 8.80 8.80 8.80 8.78 8.77 8-77 8-75 8-75 8-73 8.73 8.72 8.72 8.70 8.68 8.68 8.67 8.67 8.65 8.65 8.63 8.63 8.62 8.60 8.60 8.60 8.58 8-57 8.57 8-57 8-53 8-55 8-53 8.52 8.52 8.50 8.48 8.50 8.47 8.47 8.47 8-45 8.45 8-43 8.42 D. 1". 603 229 602 691 602 154 601 617 601 081 600 545 600010 599476 598 942 598 409 597 876 597 344 596813 596282 595 75 1 595 222 594 692 594 164 593 636 593 108 592 581 592055 59i 5 2 9 591004 590 479 589 955 589431 588 908 588 385 587 863 587 342 586821 586 301 585 7Si 585 262 584 743 584 225 583 7°7 583 190 582 674 582 158 581 642 581 127 580613 580 099 579 585 579 073 578 5 6 ° 578048 577 537 577026 576516 576007 575 497 574 989 574 48i 573 973 573 466 572 959 572 453 57 1 948 Tan. LOGARITHMIC SINES, COSINES, TANGENTS, 15° AND COTANGENTS. 33 M. Sin. D.l' Cos. D. 1". Cot. o 9.412996 I •413 467 2 •413 938 3 .414408 4 .414878 5 9415 347 b .415815 7 .416 283 8 .416751 9 .417217 10 9.417684 ii .418 150 12 .418615 13 .419079 14 .419544 15 9.420 007 ib .420 470 17 •420 933 18 •421 395 19 .421 857 20 9.422318 21 .422 778 22 .423 238 23 .423 697 24 .424156 25 9.424615 2b .425 073 27 .425 530 28 .425 987 29 .426 443 30 9.426 899 31 •427 354 32 .427 809 33 .428 263 34 .428717 35 9.429170 36 .429 623 37 .430075 3» •430 5 2 7 39 .430 978 40 9-431 429 4i 431 879 42 432 329 43 432 778 44 433 226 45 9433 675 4b 434 122 47 434 5 6 9 48 .435016 49 435 462 5o 9.435 908 5i 436 353 52 .436 798 53 437 242 54 437 686 55 9.438 129 56 438 572 57 .439014 58 439 456 59 439 897 60 9-440 338 Cos. 7.85 7.85 7-83 7-83 7.82 7.80 7.80 7.80 7-77 7.78 7-77 7-75 7-73 7-75 7.72 7.72 7.72 7.70 7.70 7.68 7.67 7.67 7-65 7-65 7.65 7-63 7.62 7.62 7.60 7.60 7.58 7-58 7-57 7-57 7-55 7-55 7-53 7-53 7-52 7-52 7.50 7-5° 748 747 7.48 745 745 745 743 743 7.42 7.42 7.40 7.40 7-38 7-38 7-37 7-37 7-35 7-35 D. 1". 9.984 944 .984910 .984 876 .984 842 .984 808 9.984 774 •984 740 .984 706 .984 672 .984 638 9.984 603 .984 569 •984 535 .984 500 .984 466 9.984 432 •984 397 •984 363 .984 328 .984 294 9.984 259 .984 224 .984 190 •984 155 .984 120 9.984 085 .984 050 .984015 .983 981 •983 946 9.983 91 1 •983 875 .983 840 .983 805 •983 770 9-983 735 .983 700 .983 664 •983 629 •983 594 9-983 558 •983 523 .983 487 •983 452 .983416 9-983 381 •983 345 •983 3°9 •983 273 ■983 238 9.983 202 .983 166 •983 130 •983 094 .983 058 9.983 022 .982 986 .982 950 .982914 .982 878 9.982 842 D. 1". 74° 9.428052 •428 558 .429 062 .429 566 .430 070 9430 573 431 075 431 577 .432 079 •432 580 9.433 080 •433 580 •434 080 •434 579 435 078 9435 576 436 073 .436 570 437 067 437 563 9.438 059 438 554 439 048 439 543 .440 036 9.440 529 .441 022 .441 514 .442 006 .442 497 9.442 988 •443 479 443 968 •444 458 •444 947 9.445 435 •445 923 .446411 .446 898 •447 384 9.447 870 448 356 .448 841 •449 326 .449 810 9.450 294 .450 777 .451 260 45 1 743 •452 225 9.452 706 453 187 453 668 454 148 .454 628 9455 io 7 •455 586 .456 064 •456 542 .457019 9457 496 Cot. 843 8.40 8.40 8.40 8.38 8-37 8-37 8-37 8-35 8-33 8-33 8-33 8.32 8.32 8.30 8.28 8.28 8.28 8.27 8.27 8.25 8.23 8.25 8.22 8.22 8.20 8.18 8.18 8.18 8.15 8.17 8.15 8.13 8.13 8.13 8.12 8.10 8.10 8.10 8.08 8.08 8.07 8.07 8.05 8.05 8.05 8.03 8.02 8.02 8.02 8.00 8.00 7.98 7.98 7-97 7-97 7-95 7-95 D. 1". 0.571 948 .571442 .570938 ■57°434 .569 930 0.569427 •568925 .568 423 .567921 .567 420 0.566 920 .566420 •565 920 •565421 .564922 0.564424 .563 927 •563 430 •562 933 .562437 0.561 941 .561 446 .560952 •560457 •559 964 o.559 47i .558 978 .558486 ■557 994 •557 503 0.557012 •556521 •556032 •555 542 •555 053 0.554 565 •554 077 •553 589 •553io2 .552 616 0.552130 •55 » 644 •55 1 159 .550 674 .550 190 0.549 706 •549 223 •548 740 .548 257 •547 775 0-547 294 •546813 •546 332 •545 852 •545 372 0.544 893 .544414 ■543 936 •543 458 .542981 Q-542 504 Tan. 34 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 16° Sin, o 9.440 338 I .440 778 2 .441 218 3 .441 658 4 .442 096 5 9-442 535 6 .442 973 7 .443410 8 •443 847 9 .444284 IO 9.444 720 ii •445 '55 12 •445 590 13 .446 025 *4 •446 459 15 9.446 893 16 •447 326 *7 •447 759 18 .448 191 19 • 44S623 20 9.449 054 21 •449 485 22 .449915 33 •45° 345 24 •45° 775 25 9.451 204 26 .451 632 27 .452060 28 .452488 29 •452915 30 9453 342 3i 453 768 32 454 194 33 .454619 34 455 °44 35 9455 469 36 455 893 37 .456316 38 456 739 39 457 l62 40 9457 584 4i .458 006 42 .458427 43 .458 848 44 .459 268 45 9.459 688 46 .460 108 47 .460527 48 .460 946 49 .461 364 50 9.461 782 5i .462 199 52 .462616 53 .463 032 54 .463 448 55 9.463 864 56 .464 279 57 .464 694 58 .465 108 59 .465 522 60 9465 935 D. 1". Cos. 7-33 7-33 7-33 7-3° 7-32 7-30 7.28 7.28 7.28 7.27 7.25 7-25 7-25 7-23 7-23 7.22 7.22 7.20 7.20 7.18 7.18 7.17 7.17 7.17 7*5 7-13 7-13 7i3 7.12 7.12 7.10 7.10 7.08 7.08 7.08 7.07 7-°5 7.05 7.05 7-°3 7°3 7.02 7.02 7.00 7.00 7.00 6.98 6.98 6.97 6.97 6-95 6.95 6-93 6-93 6-93 6.92 6.92 6.90 6.90 6.88 D. 1". 9.982 842 .982 805 .982 769 •982 733 .982 696 9.982 660 .982 624 .982 587 •982 55 * .982514 9.982477 .982 441 .982 404 .982 367 .982331 9.982 294 .982 257 .982 220 .982 183 .982 146 9.982 109 .982072 .982 035 .981 998 .981 961 9.981 924 .981 886 .981 849 .981 812 .981 774 9-98i 737 .981 700 .981 662 .981 625 .981 587 9.981 549 .981 512 .981 474 .981 436 .981 399 9.981 361 .981 323 .981 285 .981 247 .981 209 9.981 171 ■981 133 .981 095 .981057 .981 019 9.980981 .980 942 .980 904 .980 866 .980 827 9.980 789 .980 750 .980 7 1 2 .980 673 .980 635 9.980 596 Sin. .62 .60 .60 .62 .60 .60 .62 .60 .62 .62 .60 .62 .62 .60 .62 .62 .62 .62 .62 .62 .62 .62 .62 .62 .62 •63 .62 .62 .63 .62 .62 •63 .62 •63 •63 .62 .63 .63 .62 •63 .63 •63 •63 .63 .63 •63 .63 .63 •63 •63 •63 .63 .65 .63 .65 •63 .65 •63 •65 p. i" 730 Tan. 9457 496 457 973 45 s 449 458 925 459 400 9459 875 .460 349 .460 823 .461 297 .461 770 9.462 242 .462 715 .463 186 .463 658 .464 1 28 9.464 599 .465 069 465 539 .466 008 .466 477 9.466 945 .467413 .467 880 .468 347 .468814 9.469 280 .469 746 .470 211 .470 676 .471 141 9.471 605 .472 069 472 532 472 995 473 457 9473 919 474 381 474 842 475 303 475 7 6 3 9.476 223 .476 683 477 142 .477 601 .478 059 9478 517 478 975 479 432 479 889 480 345 9.480801 .481 257 .481 712 .482 167 .482 621 9483 075 .483 529 483 982 484 435 .484 887 9485 339 Oot. D. 1". 7-95 7-93 7-93 7.92 7.92 7.90 7.90 7.90 7.88 7.87 7.88 7.85 7.87 7-83 7-85 7-83 7-83 7.82 7.82 7.80 7.80 7.78 7.78 7.78 7-77 7-77 7-75 7-75 7-75 7-73 7-73 7.72 7.72 7.70 7.70 7.70 7.68 7.68 7.67 7.67 7.67 7-65 7.65 7-63 7- 6 3 7-63 7.62 7.62 7.60 7.60 7.60 7-58 7.58 7-57 7-57 7-57 7-55 7-55 7-53 7-53 D. 1". Cot. 542 504 542027 54*55* 54i 075 540 600 540 125 539651 539 177 538 7°3 538 230 537 758 537 285 536814 536 342 535 872 535 401 534 931 534 46i 533 992 533 523 533 055 532587 532 120 53i 653 531 186 53o 720 53o 254 529 789 529 324 528859 528395 527 931 527 468 527 °°5 526543 526081 525619 525 158 524 697 524 237 523 777 523317 522858 522399 521 941 521 483 521 025 520 568 520 in 5*9655 519 i99 5*8 743 518288 5*7833 5*7 379 516925 5*6471 516018 5*5 565 5*5**3 514 661 Tan. LOGARITHMIC SINES, COSINES, TANGENTS, 17° AND COTANGENTS. 35 Sin. o 9-465 935 •466 348 I 2 .466 761 3 •467 173 4 .467 585 5 9.467 996 6 .468 407 7 .468817 8 .469 227 9 .469 637 IO 9.470 046 ii •47° 455 12 .470 863 13 .471 271 14 •47 l 6 79 15 9.472 086 16 .472 492 17 .472 898 18 •473 304 19 •473 7 IQ 20 9.474 115 21 •474 5 l 9 22 •474 923 23 •475 327 24 •475 730 2.5 9476 133 26 .476 536 27 •476 938 28 •477 340 29 •477 741 30 9.478 142 31 .478 542 32 .478 942 33 •479 342 34 •479 741 35 9.480 140 36 .480 539 37 .480 937 38 •481 334 39 .481 731 40 9.482 128 4i .482 525 42 .482 921 43 .483316 44 .483 712 45 9.484 107 46 .484 501 47 •484 895 48 .485 289 49 .485 682 50 9.486 075 5i .486 467 52 .486 860 53 •487251 54 •487 643 55 9.488 034 56 .488 424 57 .488 814 58 .489 204 59 •489 593 60 9.489 982 Cos. D. 1". 6.88 6.88 6.87 6.87 6.85 6.85 6.83 6.83 6.83 6.82 6.82 6.80 6.80 6.80 6.78 6-77 6.77 6.77 6.77 6-75 6-73 6-73 6-73 6.72 6.72 6.72 6.70 6.70 6.68 6.68 6.67 6.67 6.67 6.65 6.65 6.65 6.63 6.62 6.62 6.62 6.62 6.60 6.58 6.60 6.58 6.57 6.57 J 57 6-55 6.55 6.55 6.52 6-53 6.52 6.50 6.50 6.50 6.48 6.48 D. 1". Cos. 9.980 596 .980 558 .980 519 .980 480 .9S0 442 9.980 403 .980 364 .980 325 .980 286 .980 247 9.980 208 .980 169 .980 130 .980091 .980052 9.980012 •979 973 •979 934 •979 895 •979 855 9.979816 •979 776 •979 737 •979 697 •979 658 9.979618 •979 579 •979 539 •979 499 •979 459 9.979 420 •979 380 •979 340 •979 3°o .979 260 9.979 220 .979 180 •979 140 .979 100 .979059 9.979019 .978 979 •978 939 .978 898 •978 858 9.978817 .978 777 •978 737 .978 696 •978 655 9.978615 •978 574 •978 533 ■978 493 •97S452 9.978 41 1 .978 370 .978 329 .978 288 •978 247 9.978 206 Sin. D. 1", 65 65 63 05 65 65 65 ^5 65 ^5 ^5 65 ^5 67 65 65 65 67 65 6/ *5 67 65 67 65 07 07 67 65 67 <^7 07 07 07 07 67 67 68 67 67 67 oS 67 68 67 67 08 oS 07 68 68 67 6S OS 68 oS oS oS 68 P. 1". 72° Tan. 9485 339 485 791 .486 242 .486 693 487 143 94S7 593 .48S 043 .488 492 .488 941 .489 390 9.4S9 838 .490 286 490 733 .491 180 .491 627 9.492 073 492 5 l 9 .492 965 .493410 493 854 9.494 299 494 743 .495 186 495 630 496 073 9496 5 1 5 496 957 497 399 497 841 .498 282 9.498 722 499 163 499 603 .500 042 .500481 9.500 920 •5 QI 359 .501 797 .502 235 .502 672 9.503 109 •5°3 546 .503 982 .504418 .504 854 9.505 289 .505 724 .506159 .506 593 .507027 9.507 460 .507 893 .508 326 .508 759 .509 191 9.509 622 .510054 .510485 .510916 .511346 9-5" 77 6 Cot. D 1". 7-53 7-52 7-52 7.50 7.50 7.50 7.48 7.48 7.48 747 747 745 745 745 743 743 743 7.42 7.40 7.42 7.40 7-38 7.40 7-38 7-37 7-37 7-37 7-37 7-35 7-33 7-35 7-33 7-32 7-32 7-32 7-32 7-3° 7-3o 7.28 7.28 7.28 7.27 7.27 7.27 7-25 7-25 7-25 7- 2 3 7- 2 3 7.22 7.22 7.22 7.22 7.20 7.18 7.20 7.18 7.18 7.17 7.17 D. 1". Cot. 0.5 14 661 60 .514209 59 ■513758 58 •5 x 3 307 57 .512857 56 0.512407 55 •5" 957 54 .511508 53 •5 1 > o59 52 .510 610 5i 0.510 162 50 .509714 49 .509 267 48 .508 820 47 •5° 8 373 46 0.507 927 45 .507481 44 ■5 7 035 43 .506 590 42 .506 146 4i 0.505 701 40 •5°5 257 39 .504814 38 •5°4 370 37 •503927 36 0.503 485 35 •5°3 043 34 .502 601 33 .502 159 32 .501.718 3i 0.501 278 30 .500 837 29 .500 397 28 499 958 27 499 5 r 9 26 0.499 °8o 25 .498 641 24 .498 203 23 497 765 22 497 328 21 0.496891 20 .496 454 19 .496018 18 495 582 17 495 J 46 16 0.494 711 15 494 276 14 493 841 13 493 407 12 492 973 11 0.492 540 10 492 107 9 .491 674 8 .491 241 7 .490 809 6 0.490 378 5 .489 946 4 .489515 3 .489 084 2 .488 654 1 0.488 224 Tan. M. 36 LOGARITHMIC SINES, COSINES, TANGENTS, 18° AND COTANGENTS. 9.489 982 •490 37 1 •490 759 .491 147 •491 535 9.491 922 .492 308 .492 695 .493081 •493 466 9-493 85I •494 236 .494621 •495 °°5 •495 388 9-495 77 2 .496154 •496 537 .496919 •497 301 9.497 682 .498 064 .498 444 .498 825 •499 204 9.499 584 •499 963 .500 342 .500 721 .501 099 9.501 476 .501 854 .502 231 .502 607 .502 984 9.503 360 •5°3 735 .504 no .504 485 .504 860 9.505 234 .505 608 .505 981 .506 354 .506 727 9.507 099 •5°7 47i .507 843 .508 214 .508 585 9.508956 .509 326 .509 696 .510065 .510434 9.510803 .511 172 •5 11 540 .511 907 •512275 9-512642 Cos. D. 1" 6.48 6.47 6.47 6.47 6-45 6-43 6-45 6-43 6.42 6.42 6.42 6.42 6.40 6.38 6.40 6-37 6.38 6-37 6-37 6-35 6-37 6-33 6-35 6.32 6-33 6.32 6.32 6.32 6.30 6.28 6.30 6.28 6.27 6.28 6.27 6.25 6.25 6.25 6.25 6.23 6.23 6.22 6.22 6.22 6.20 6.20 6.20 6.18 6.18 6.18 6.17 6.17 6.15 6.15 6.15 6.. 5 6.13 6.12 6.13 6.12 D. 1". Cos, 9.978 206 •978 165 .978 124 .978083 .978 042 9.978001 •977 959 .977918 ■977 877 •977 835 9-977 794 .977752 .977711 .977669 .977 628 9.977 586 •977 544 ■977 5°3 .977461 .977419 9-977 377 •977 335 •977 293 •977 251 •977 209 9.977 167 •977 I2 5 •977 083 .977041 .976 999 9-976 957 .976914 .976 S72 .976830 .976 787 9-976 745 .976 702 .976 660 .976617 •976 574 9-97" 532 .976489 .976 446 •976 404 .976361 9.976318 •976 275 .976 232 .976189 .976 146 9.976 103 .976060 .976017 •975 974 •975 93o 9.975 887 •975 844 ■975 800 •975 757 •975 7 '4 9-975 670 Sin. D. 1' 68 68 68 68 68 70 68 68 70 68 70 68 70 68 70 70 68 70 70 70 70 7° 70 7° 70 70 70 70 70 70 72 70 70 72 70 72 70 72 T~ 70 72 72 70 T- 72 72 72 72 72 72 72 72 72 73 72 72 73 72 72 73 D. 1". 71° Tan. 9.51 1 776 .512 206 •512635 •5 « 3 064 •5 1 3 493 9.513 921 •5 J 4 349 ■5*4 777 .515204 •5*5631 9.516057 .516484 .516910 •5*7 335 .517761 9.518 186 .518610 •5 ! 9 034 .519458 .519882 9.520 305 .520 728 .521 151 •521573 •521 995 9.522417 .522838 •523259 .523 680 .524 100 9-5 2 4 520 .524940 •525 359 •525 778 .526 197 9.526615 •527 33 •527 451 .527 868 •528 285 9.528 702 .529119 •529 535 •529 95 1 .530 366 9.530781 •531 196 .531611 .532025 •532 439 9-532853 •533 266 •533 679 •534 092 •534 5°4 9-534 9I6 •535 328 •535 739 .536150 •536561 9-536 972 Cot. D. 1' 7.17 7-15 7-i5 7-15 7-13 7-i3 7-13 7.12 7.12 7.10 7.12 7.10 7.08 7.10 7.08 7.07 7-07 7.07 7.07 7-05 7.05 7-05 7-°3 7-°3 7-03 7.02 7.02 7.02 7.00 7.00 7.00 6.98 6.98 6.98 6.97 6.97 6.97 6-95 6-95 6-95 6-95 6-93 6-93 6.92 6.92 6.92 6.92 6.90 6.90 6.90 6.88 6.88 6.88 6.87 6.87 6.87 6.85 6.85 6.85 6.85 D. 1". Cot. 0.488 224 •487 794 •487 365 .486 936 .486 507 0.486 079 .485651 .485 223 .484 796 .484 369 0483 943 .483516 .483 090 .482 665 482 239 0.481 814 481 390 .480 966 .480 542 .480118 0.479 695 .479272 478 849 .478427 .478 005 0-477 583 .477 162 476 741 476 320 475 900 0.475 48o .475 060 474 641 .474 222 473 S03 0-473 385 .472 967 472 549 472 132 47 1 715 0.471 298 .470881 .470 465 47° °49 469 634 0.469 219 .468 804 468 389 467 975 467 561 0.467 147 466 734 .466321 .465 908 465 496 0.465 084 .464 672 .464 261 .463 850 463 439 0.463 028 Tan. LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 37 19° Sin, 512642 513009 513 375 513 74i 514 107 514472 5H837 515 202 515 566 5*5 93o 516294 516657 5 1 7 020 5*7 382 5 J 7 745 518 107 518468 518829 519 190 5*9 55* 5*99" 520 271 520631 520 990 5 21 349 521 707 522066 522424 522781 5 2 3 138 5 2 3 495 523852 524 208 524 564 524920 525 275 525 630 525984 526339 526 693 527 046 527400 527 753 528 105 528458 528810 529 161 5295*3 529 864 530215 530 565 530915 53i 265 53i 614 53i 963 532312 532661 533 009 533 357 533 7°4 534 052 Cos. D. 1' 6.12 6.10 6.10 6.10 6.08 6.08 6.08 6.07 6.07 6.07 6.05 6.05 6.03 6.05 6.03 6.02 6.02 6.02 6.02 6.00 6.00 6.00 5-98 5-98 5-97 5-98 5-97 5-95 5-95 5-95 5-95 5-93 5-93 5-93 5.92 5-92 5.90 5-92 5-90 5.88 5.90 5.88 5.87 5.88 5-87 5.85 5.87 5.85 5-85 5-83 5.83 5.83 5.82 5.82 5.82 5.82 5.80 5.80 5-78 5.80 D. 1". Cos. 9.975 670 •975 627 •975 583 •975 539 •975 496 9-975 45 2 •975 408 ■975 365 •975 321 •975 277 9-975 233 •975 189 •975 *45 •975 IO * •975 057 9-975 0*3 •974 969 •974 925 .974 880 •974 836 9.974 792 •974 748 •974 7°3 •974 659 •974 614 9-974 57° •974 525 .974481 •974 436 •974 391 9-974 347 •974 302 •974 257 .974212 •974 167 9.974 122 •974 077 •974 032 •973 987 •973 942 9-973 897 •973 852 •973 807 •973 761 .973716 9.973671 •973 625 •973 580 •973 535 •973 489 9-973 444 •973 398 •973 352 •973 307 .973 261 9-973 2I5 •973 169 •973 124 .973078 •973032 9.972986 D. 1' •72 •73 •73 .72 •73 •73 .72 •73 •73 ■73 ■73 •73 •73 •73 •73 •73 •73 ■75 •73 •73 •73 •75 •73 •75 ■73 ■75 •73 •75 •75 •73 ■75 •75 •75 •75 •75 ■75 •75 •75 •75 •75 •75 •75 •77 ■75 •75 •77 •75 ■75 •77 •75 •77 •77 •75 •77 •77 •77 •75 •77 •77 •77 DTI"! "70° Tan. 9.536972 537 382 537 792 538 202 538 61 1 539020 539 429 539 837 540 245 540 653 541 061 541 468 54i 875 542 281 542 688 543 094 543 499 543 905 544 3io 544 7*5 545 **9 545 524 545 928 546 331 546 735 547 138 547 540 547 943 548 345 548 747 549 149 549 55o 549 95* 550 352 55° 752 55* *53 551552 55*952 552351 552750 553 149 553 548 553 946 554 344 554 74i 555 *39 555 536 555 933 556 329 556 725 557*21 5575*7 557913 558 308 558 703 559 097 559 491 559 885 560 279 560 673 561 066 Cot. D. 1' 6.83 6.83 6.83 6.82 6.82 6.82 6.80 6.80 6.80 6.80 6.78 6.78 6.77 6.78 6-77 6.75 6.77 6-75 6.75 6-73 6-75 6-73 6.72 6-73 6.72 6.70 6.72 6.70 6.70 6.70 6.68 6.68 6.68 6.67 6.68 6.65 6.67 6.65 6.65 6.65 6.65 6.63 6.63 6.62 6.63 6.62 6.62 6.60 6.60 6.60 6.60 6.60 6.58 6.58 6.57 6.57 6-57 6.57 6.57 6-55 D. 1". Cot. 0.463 028 .462618 .462 20S .461 798 .461 389 0.460 980 .460571 .460 163 •459 755 •459 347 0458 939 •458 532 .458125 •457 7*9 •457 312 0.456 906 .456501 •456095 •455 690 •455 285 0.454881 .454476 •454072 •453 669 •453 265 0.452 862 .452 460 .452057 •451655 •45* 253 0.450851 •45° 45° •45° °49 •449 648 •449 248 0.448 847 .448 448 .448 048 •447 649 •447 250 0.446851 .446452 ■446 054 •445 656 •445 259 0.444 861 •444 464 •444 067 .443671 •443 275 0.442 879 .442 483 .442 087 .441 692 .441 297 0.440 903 .440 509 .440115 •439 721 •439 327 0-438 934 Tan. 38 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 20° M. Sin. D. 1' Cos. Tan, D. 1". Cot. o 9-534 052 I •534 399 2 •534 745 3 .535092 4 •535 438 5 9-535 783 6 .536129 7 •536 474 8 .536818 9 •537 163 IO 9-537 507 ii •537851 12 •538 194 13 •538 538 14 .538880 15 9-539 223 16 •539 5 6 5 *7 •539 907 18 .540 249 19 .540 590 20 9-540 93I 21 .541 272 22 .541 613 23 •54i 953 24 •542 293 25 9.542 632 2b •542 971 27 •543 3io 28 •543 649 29 •543 987 30 9-544 325 31 •544 663 32 .545 000 33 ■545 338 34 •545 6 74 35 9.546 01 1 36 •546 347 37 .546683 38 .547019 39 •547 354 40 9.547 689 41 .548024 42 •548 359 43 •548 693 44 .549027 45 9.549 360 46 •549 693 47 .550026 48 •550 359 49 •55° 6 92 50 9-55 1 ° 2 4 5i •55' 356 52 .551687 53 .552018 54 •55 2 349 55 9.552680 56 •5530IO 57 •553 341 58 •553 670 59 •554 000 60 9-554 329 Cos. 5.78 5-77 5.78 5-77 5-75 5-77 5-75 5-73 5-75 5-73 5-73 5-72 5-73 5-7° 5-72 5-70 5.70 5-7° 5.68 5.68 5.68 5.68 5-67 5-67 5-65 5-65 5-65 5.65 5-63 5-63 5.63 5.62 5-63 5.60 5.62 5.60 5.60 5.60 5.58 5-58 5.58 5-58 5-57 5-57 5-55 5-55 5-55 5-55 5-55 5-53 5-53 5-52 5-52 5.52 5-52 5-5o 5-52 5.48 5-50 5.48 D. 1". 9.972 986 ■972 940 .972 894 .972 848 .972 802 9-972 755 .972 709 .972 663 .972617 •972 570 9.972524 .972478 •972 43i •972 385 •972 338 9.972 291 •972 245 .972 198 .972151 .972 105 9.972058 .972011 •97 « 964 .971917 .971 870 9.971 823 .971 776 .971 729 .971 682 •97i 635 9.971 588 .971 540 •971 493 •97 1 446 •97 r 398 9-971 35 1 •97i 303 .971 256 .971 208 .971 161 9.971 113 .971 066 .971 018 •970 970 .970922 9.970 874 .970827 •970 779 •97° 73i .970 683 9.970 635 .970 586 •970 538 .970 490 •970 442 9-97° 394 •97° 345 •970 297 .970 249 .970 200 9-97° l S 2 Sin. D. 1" 9.561 066 •561 459 .561 851 .562 244 .562 636 9.563028 ■563 419 .563811 .564 202 •564 593 9.564 983 •565 373 •565 763 •566 153 .566 542 9.566 932 .567 320 .567 7°9 .568 098 .568 486 9.568873 .569 261 .569 648 •570 035 .570422 9.570809 •57 1 195 •57i 581 .571 967 •572 352 9-572 738 •573 123 •573 507 •573 892 .574 276 9.574 660 •575 044 •575 427 .575810 •576 193 9.576576 .576959 •577 341 •577 723 .578 104 9.578486 .578867 •579 248 •579629 .580009 9.580 389 .580 769 .581 149 .581 528 •5S1 907 9.582 286 .582 665 .583 044 •583422 .583 800 9-584I77 Cot. 6-55 6-53 6.55 6-53 6-53 6.52 6-53 6.52 6.52 6.50 6.50 6.50 6.50 6.48 6.50 6.47 6.48 6.48 6.47 6.45 6.47 6.45 6-45 6.45 6.45 6-43 6-43 6-43 6.42 6-43 6.42 6.40 6.42 6.40 6.40 6.40 6.38 6.38 6.38 6.38 6.38 6-37 6-37 6-35 6-37 6.35 6-35 6-35 6-33 6-33 6-33 6-33 6.32 6.32 6.32 6.32 6.32 6.30 6.30 6.28 D. 1". 0.438 934 •43S 54i •438 149 •437 756 •437 364 0.436972 .436 581 .436 189 •435 798 •435 407 0.435017 •434 627 •434 237 •433 847 •433 458 0.433 °68 .432 680 •432 291 431 902 •431 5H 0.431 127 ■430 739 •430 352 .429 965 •429 578 0.429 191 .428 805 .428419 .428033 .427 648 0.427 262 .426877 .426 493 .426 108 •425 7 2 4 0.425 340 .424 956 •424 573 .424 190 .423 807 0.423 424 .423 041 .422 659 .422 277 .421 896 0.421 514 •421 133 •420 752 •420371 .419991 0.419 611 .419231 .418851 .41S472 .418093 0.417 714 •417 335 .416956 .416578 .416 200 0415823 Tan. LOGARITHMIC SINES, COSINES, TANGENTS. AND COTANGENTS. 39 21° Sin, 9-554 329 I •554658 2 •554 987 3 •555 315 4 •555 6 43 S 9-555 971 6 •55 6 2 99 7 556 626 8 •556 953 9 •557 2 8o IO 9.557606 ii •557 932 12 -558258 13 •558 583 14 •558 909 *S 9-559 234 16 •559 558 17 •559 883 18 .560 207 19 •560531 20 9.560 855 21 •561 178 22 .561 501 23 .561 824 24 .562 146 25 9.562 468 26 .562 790 27 .563112 28 •563 433 29 •563 755 30 9.564075 31 •564 396 32 .564716 33 •565 036 34 •565 356 35 9.565 676 36 •565 995 37 .566314 38 .566632 39 .566951 40 9.567 269 4i .567587 42 •567 904 43 .568 222 44 •568 539 45 9.568 856 46 .569 172 47 .569 488 48 .569 804 49 .570 120 5o 9-57° 435 51 •570 751 52 .571 066 53 .571 380 54 .571 695 55 9.572009 5t> •572 323 57 .572636 5« •572 950 59 •573 263 60 9-573 575 D. 1' 5.48 5.48 5-47 5-47 5-47 5-47 5-45 5-45 5-45 5-43 5-43 5-43 5.42 5-43 5-42 540 5.42 5.40 540 5.40 5-38 5-38 5-38 5-37 5-37 5-37 5-37 5-35 5-37 5-33 5-35 5-33 5-33 5-33 5-33 5-32 5-32 5-3o 5-32 5-30 5-30 5.28 5-30 5.28 5.28 5-27 5-27 5-27 5- 2 7 5-25 5-27 5-25 5-23 5-25 5-23 5-23 5.22 5- 2 3 5.22 5.20 Cos. 9.970 152 •970 103 •970055 .970006 •969 957 9.969 909 .969 860 .969 811 .969 762 .969 714 9.969 665 .969 616 •969567 .969 518 .969 469 9.969 420 •969 37° •969 321 .969 272 .969 223 9.969173 .969 124 .969 075 .969025 .968 976 9.968 926 .968877 .968 827 .968 777 .968 728 9.968 678 .968 628 .968 578 .968 528 .968 479 9.968 429 •968 379 .968 329 .968 278 .968 228 9.96,° 178 .968128 .968 078 .968 027 •967 977 9.967 927 .967 876 .967 826 •967 775 •967 725 9.967 674 .967 624 •967 573 .967 522 •967 47 1 9.967421 •967 370 .967319 .967 268 .967217 9.967 166 Sin. D. 1" *5 D, 1" 68 c Tan. 9.584177 •584 555 •5S4 932 •585 309 .585 686 9.586062 .586439 .586815 .5S7 190 .587 566 9.587 941 .5S8316 .588 691 .589 066 .589 440 9.589814 .590 188 .590562 •59o 935 .591 308 9.591 681 •592054 .592426 .592 799 •593 W 9-593 542 •593 914 •594 285 •594656 •595 027 9-595 398 •595 768 .596 138 .596 508 .596878 9.597 247 .597616 •597 985 •598 354 .598 722 9.599091 •599 459 •599 827 .600 194 .600 562 9.600 929 .601 296 .601 663 .602 029 .602 395 9.602 761 .603 127 •603 493 .603 858 .604 223 9.604 588 .604953 .605317 .605 6S2 .606 046 9.606410 Cot. D. 1". 6.30 6.28 6.28 6.28 6.27 6.28 6.27 6.25 6.27 6.25 6.25 6.25 6.25 6.23 6.23 6.23 6.23 6.22 6.22 6.22 6.22 6.20 6.22 6.20 6.18 6.20 6.18 6.18 6.18 6.18 6.17 6.17 6.17 6.17 6.15 * 15 6.15 6.15 6.13 6.15 6.13 6.13 6.12 6.13 6.12 6.12 6.12 6.10 6.10 6.10 6.10 6.10 6.08 6.08 6.08 6.08 6.07 6.08 6.07 6.07 D. 1". Cot. 0.415823 415 445 .415 068 .414691 .414314 0413938 .413561 .413185 .412 810 .412434 0.412059 .41 1 684 .411309 .410934 .410 560 0.410 186 .409 812 .409 438 .409 065 .408 692 0.408 319 .407 946 407 574 .407 201 .406 829 0.406458 .406 086 405 7^ 405 344 404 973 0.404 602 404 232 .403 862 .403 492 .403 122 0.402 753 .402 384 .402015 .401 646 .401 278 0.400 909 400 541 .400 1 73 •399 806 •399 438 0.399071 .398 704 •398 337 •397 971 •397 605 0-397 239 •396873 •396 507 .396 142 •395 777 0.395412 •395 °47 •394 683 •394 3i8 •393 954 Q-393 590 Tan. 40 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 22° 9-573 575 •573 888 I 2 .574 200 3 •574 512 4 •574 824 5 9-575 136 b •575 447 7 •575 758 8 .576069 9 •576 379 IO 9.576 689 ii •57 6 999 12 •577 309 13 .577618 14 .577927 15 9.578 236 16 •578 545 17 .578853 18 ■579 162 19 •579 470 20 9-579 777 21 .580085 22 .580392 23 .580 699 24 .581 005 25 9.581 312 26 .581618 27 .581 924 28 .582 229 29 •582 535 30 9.582 840 31 ■583 145 32 •583 449 33 •583 754 34 .584058 35 9.584361 36 .584 665 37 •584968 38 •585 272 39 085 574 40 9.585 877 41 .586179 42 .586482 43 .586 783 44 .587085 45 9.587 386 46 .587 688 47 .587989 48 .588 289 49 .588 590 50 9.588 890 Si .589 190 52 •589 489 53 .589 789 54 .590 088 55 9.590 387 56 .590 686 57 .590 984 58 .591 282 59 .591 580 60 9.591 878 D. 1' 5.22 5.20 5.20 5.20 5.20 5.18 518 518 5-17 517 5'7 517 5-15 515 515 5-15 5-13 5^5 5-i3 5.12 5-13 5.12 5.12 5.10 5.12 5.10 5.10 5.08 5.10 5.08 5.08 5.07 5.08 5-°7 5.05 5.07 5-o5 5-°7 5-°3 5.05 5-o3 5.05 5.02 5-°3 5.02 5-°3 5.02 5.00 5.02 5.00 5.00 4.98 5.00 4.98 4.98 4.98 4-97 4-97 4-97 4-97 Cos. 9.967 166 .967115 .967 064 .967013 .966961 9.966910 .966 859 .966 808 .966 756 .966 705 9.966 653 .966 602 .966 550 .966 499 .966 447 9.966 395 .966 344 .966 292 .966 240 .966 188 9.966 136 .966 085 .966033 .965 981 .965 929 9.965 876 .965 824 .965 772 .965 720 .965 668 9.965615 •965 563 •965 511 .965 458 .965 406 9-965 353 .965 301 .965 248 •965 195 .965 143 9.965 090 •965 037 .964 984 .964931 •964 879 9.964 826 •964 773 .964 720 .964 666 .964613 9.964 560 .964 507 •964 454 .964 400 •964 347 9.964 294 .964 240 .964 187 •964133 .964 080 9.964 026 D. 1' .85 .85 $ .87 .85 .85 .85 .87 .85 .87 .85 .87 .85 .87 .87 .85 •87 .87 .87 .87 •85 .87 .87 ■87 .88 .87 •87 .87 87 .88 .87 •87 .88 .87 .88 •87 .88 .88 .87 Tan. 9.606410 .606 773 .607 137 .607 500 .607 863 9.608 225 .608 588 .608 950 .609312 .609 674 9.610036 .610397 .610759 .611 120 .611 480 9.61 1 841 .612 201 .612 561 .612 921 .613281 9.613 641 .614000 •614 359 .614718 .615077 9-615 435 •615 793 .616 151 .616 509 .616867 9.617 224 .617582 .617939 .618295 .618652 9.619008 .619 364 .619 720 .620076 .620 432 9.620 787 .621 142 .621 497 .621 852 .622 207 9.622 561 .622915 .623 269 .623 623 .623 976 9.624 330 .624 683 .625 036 .625 388 ■625 741 9.626093 .626 445 .626 797 .627 149 ■627 501 9.627 852 D. !'■ 6.05 6.07 6.05 6.05 6.03 6.05 6.03 603 6.03 6.03 6.02 6.03 6.02 6.00 6.02 6.00 6.00 6.00 6.00 6.00 5.98 5.98 5-98 5.98 5-97 5-97 5-97 5-97 5-97 5-95 5-97 5-95 5-93 5-95 5-93 5-93 5-93 5-93 5-93 5-92 5.92 5-92 5.92 5-92 5-90 5-90 5.90 5-9° 5.88 5.90 5.88 5.88 5.87 5.88 5.87 5.87 5-8 7 5.87 5.87 5.85 Cot. o-393 590 •393 227 •392 863 .392 500 •392 137 0-39I 775 .391412 .391 050 .390 688 .390 326 0.389 964 .389 603 .389 241 .388 880 .388 520 0.388 159 •387 799 •387 439 .387079 .386719 0.386 359 .386 000 .385 641 .385 282 •384 923 0.384 565 .384 207 •383 849 ■383 491 .383 133 0.382 776 .382418 .382061 .381 705 .381 348 0.380 992 .380 636 .380 280 •379 924 •379 568 0.379213 .378 858 •378 5°3 .378 148 •377 793 0-377 439 •377 085 •376 731 •376 377 •376024 0.375 670 •375 317 •374 964 .374 612 •374 259 o.373 907 •373 555 •373 203 •372851 •372 499 0.372 148 Cos. D. 1' Sin. Cot. D. 1" Tan. 67° LOGARITHMIC SINES, COSINES, TANGENTS, 23° AND COTANGENTS. 41 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 4i 42 43 44 45 46 47 48 49 50 5i 52 53 54 55 56 57 58 59 60 Sin. 9.591 S78 .592176 •592 473 .592 770 •593 o6 7 9-593 363 •593 659 •593 955 ■594251 •594 547 9.594 842 •595 137 •595 432 •595 727 .596021 9-596 3I5 .596 609 •596 903 •597 196 •597 490 9-597 783 •598075 .598 368 .598 660 .598952 9.599 244 •599 536 .599827 .600118 .600 409 9.600 700 .600 990 .601 280 .601 570 .601 860 9.602 150 .602 439 .602 728 .603017 •603 305 9.603 594 .603 882 .604 170 •604457 .604 745 9.605 032 .605 319 .605 606 .605 892 .606 179 9.606 465 .606 751 .607 036 .607 322 .607 607 9.607 892 .608 177 .608 461 .608 745 .609 029 9609313 Cos. D, 1". 4-97 4-95 4-95 4-95 4-93 4-93 4-93 4-93 4-93 4.92 4.92 4.92 4.92 4.90 4.90 4.90 4.90 4.88 4.90 4.88 4.87 4.88 4.87 4.87 4.87 4.87 4-85 4.85 4.85 4.85 4-83 4.83 4-83 4-83 4.83 4.82 4.82 4.82 4.80 4.82 4.80 4.80 4.78 4.80 4.78 478 4.78 4-77 4.78 4-77 4-77 4-75 4-77 4-75 4-75 4-75 4-73 4-73 4-73 4-73 D. 1". Cos. 9.964 026 •963 972 .963919 .963 865 .963 8 u 9-963 757 •963 7°4 .963 650 .963 596 •963 542 9.963 4S8 •963 434 •963 379 .963 3 2 5 .963 271 9.963217 .963 163 .963 108 .963 054 .962 999 9.962 945 .962 890 .962 836 .962 781 .962 727 9.962672 .962 617 .962 562 .962 508 .962 453 9.962 398 •962 343 .962 288 .962 233 .962 178 9.962 123 .962 067 .962012 .961 957 .961 902 9.961 846 .961 791 •961 735 .961 680 .961 624 9.961 569 .961513 .961 458 .961 402 .961 346 9.961 290 .961 235 .961 179 .961 123 .961 067 9.961 on .960955 .960 899 .960 843 .960 786 9.960 730 D.l' Tan. .90 .88 .90 .90 .90 .88 .90 .90 .90 .90 .90 .92 .90 .90 .90 .90 .92 .90 .92 .90 .92 .90 •92 .90 .92 .92 .92 .90 .92 •92 .92 .92 •92 •92 •92 •93 .92 .92 .92 •93 .92 •93 •92 •93 .92 •93 .92 •93 •93 •93 •92 •93 •93 •93 •93 •93 •93 •93 •95 •93 11,1" 66° 9.627 852 .628 203 .628 554 .628 905 .629 255 9.629 606 .629956 .630 306 .630 656 .631005 9-631 355 .631 704 ■632053 .632 402 .632 750 9-633 °99 •633 447 •633 795 ■634 143 .634 490 9.634 838 •635 185 •635 532 •635 879 .636 226 9.636572 .636919 •637 265 .637611 .637 956 9.638 302 .638 647 .638 992 •639 337 .639 682 9.640 027 .640371 .640 716 .641 060 .641 404 9.641 747 .642091 •642 434 .642 777 ■643 120 9.643 463 .643 806 .644 148 •644 49° .644 832 9.645 174 .645516 •645 857 .646 199 .646 540 9.646881 .647 222 .647 562 .647 903 .648 243 9-648 583 Cot. S5 S5 85 S3 S5 83 S3 S3 82 83 82 82 82 80 82 So So 80 7S 80 7S 78 7S 7S 77 7S 77 77 75 77 75 75 75 75 75 73 75 73 73 72 73 72 72 72 72 72 70 7° 70 70 70 68 70 bS Cot. 0.372 148 ■37 1 797 ,371 446 37i °95 37° 745 37° 394 370044 369 694 369 344 [68 995 368 645 368 296 367 947 367 598 367 2 5° 366 901 366 553 [66 205 365 857 365 5 IO ;65 162 ,364815 ,364 468 .364121 •363 774 363 428 363081 362 735 362 389 362 044 ,361 698 ■361 353 361 008 360663 360318 159 973 359 629 359 284 358 940 358 596 358 253 357 909 357 566 357223 356 880 356 537 356 194 355 852 355 5io 355 168 354826 354 484 354 143 353 801 353 460 353 "9 352 778 352438 352 097 35 1 757 ■ 35*4*7 Tan. 42 LOGARITHMIC SINES, COSINES, TANGENTS, 24° AND COTANGENTS. D. 1". Cos, Tan. D. 1". Cot. 9.609313 I .609 597 2 .609 880 3 .610 164 4 .610447 5 9.610 729 6 .611 012 7 .61 1 294 8 .611576 9 .611858 IO 9.612 140 ii .612421 12 .612 702 13 .612983 M .613 264 15 9-613 545 ib .613825 17 .614 105 18 .614385 19 .614665 20 9.614 944 21 .615 223 22 .615502 2.3 .615781 24 .616060 25 9.616338 26 .616616 27 .616894 28 .617172 29 .617450 3° 9.617727 31 .618004 32 .618281 33 .618558 34 .618834 35 9.619 no 36 .619386 37 .619 662 38 .619938 39 .620 213 40 9.620 488 4i .620 763 42 .621 038 43 .621 313 44 .621 587 45 9.621 861 46 .622 135 47 .622 409 48 .622 682 49 .622956 SO 9.623 229 51 .623 502 52 .623 774 53 .624 047 54 .624319 55 9.624 591 56 .624 863 57 •625 135 58 .625 406 59 .625 677 60 9.625 948 4-73 4.72 4-73 4.72 4.70 4.72 4.70 4.70 4.70 4.70 4.68 4.68 4.68 4.68 4.68 4.67 4.67 4.67 4.67 4.65 4.65 4.65 4-65 4.65 463 4-63 463 4-63 4-63 4.62 4.62 4.62 4.62 4.60 4.60 4.60 4.60 4.60 4-58 4.58 4-58 4.58 4-58 4-57 4-57 4-57 4-57 4-55 4-57 4-55 4-55 4-53 4-55 4-53 4-53 4-53 4-53 4.52 4-52 4-52 D. 1". 9.960 730 .960 674 .960618 .960 561 .960 505 9.960 448 .960392 •960 335 .960 279 .960 222 9.960 165 .960 109 .960052 •959 995 •959 938 9.959 882 •959 825 •959 768 •959 7" •959'654 9-959 596 •959 539 •959 482 •959 425 •959 368 9.959310 •959 253 •959 195 •959 138 .959 080 9-959 023 •958 965 .958 908 .958 850 .958 792 9-958 734 •958 677 .958619 •958 561 •958 5°3 9958 445 •958387 •958 329 .958271 .958213 9-958 154 .958 096 .958 038 •957 979 .957921 9-957 863 •957 804 •957 746 •957 687 .957628 9-957 57° •957 5" •957 45 2 •957 393 •957 335 9-957 276 Sin. •93 •93 ■95 •93 •95 •93 •95 •93 •95 •95 •93 •95 •95 •95 ■93 •95 ■95 •95 •95 •97 •95 •95 •95 •95 •97 ■95 ■97 •95 •97 -95 •97 ■95 •97 ■97 •97 •95 •97 •97 •97 •97 •97 •97 ■97 •97 .98 •97 •97 .98 •97 •97 •98 •97 •97 .98 ■98 .98 •97 .98 D. 1" "65"° 9.648 583 .648 923 .649 263 .649 602 .649 942 9.650 281 .650 620 •650959 .651 297 .651 636 9-651974 ■652312 .652 650 .652 988 •653 326 9.653 663 .654 000 •654 337 •654 674 .655 on 9-655 348 •655 684 .656020 .656 356 .656 692 9.657028 •657 364 .657 699 .658034 .658 369 9.658 704 .659 039 •659 373 .659 708 .660 042 9.660 376 .660 710 .661 043 .661 377 .661 710 9.662 043 .662 376 .662 709 .663 042 •663 375 9.663 707 .664 039 •664371 .664 703 •665 035 9.665 366 .665 698 .666 029 .666 360 .666 691 9.667 021 .667 352 .667 682 .668013 •668 343 9.668 673 Cot. 5-67 5-6 7 5-65 5-67 5-65 5-65 5-65 5-63 5-65 5-63 5-63 5-63 5 i 3 563 5.62 5.62 5.62 5.62 5.62 5.62 5.60 5.60 5.60 5.60 5.60 5.60 5.58 5-58 5-58 5-58 558 5-57 5-58 5-57 5-57 5-57 5-55 5-57 5-55 5-55 5-55 5-55 5-55 5-55 5-53 5-53 5-53 5-53 5-53 5.52 5-53 5-52 5-52 5-5 2 5-5° 5-5 2 5.50 5-5 2 5-5° 5-5° D. 1". 0.351 417 ■35 io 77 •35° 737 •35 398 .350058 0.349 719 •349 3S0 .349041 •348 703 •348 364 0.348026 •347 688 •347 35° .347012 .346 674 0-346 337 .346 000 •345 663 •345 326 •344 989 0.344652 •344 316 •343 98o •343 644 •343 308 0.342972 .342 636 •342 301 .341 966 •341 631 0.341 296 .340 961 .340 627 .340 292 •339 958 0.339 624 •339 290 •338 957 •338 623 .338 290 0-337 957 •337 624 •337 291 •336 958 .336 625 o-336 293 •335 96i •335 629 •335 297 •334 965 0-334 634 •334 302 •333 971 ■333 640 ■333 309 0.332 979 .332 648 .332318 •33i 987 ■33i 657 Q-33I 327 Tan. LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 25° 43 9.625 948 .626 219 .626 490 .626 760 .627 030 9.627 300 .627 570 .627 840 .628 109 .628 378 9.628 647 .628916 .629 185 .629 453 .629 721 9.629 989 .630257 .630 524 .630 792 •631 059 9.631 326 .631 593 .631 859 .632 125 .632 392 9.632 658 .632 923 .633 189 •633 454 •633 7*9 9-633 984 .634 249 .634514 .634 778 .635 042 9.635 306 • 6 35 57° •635 834 .636097 ■636 360 9.636 623 .636 886 .637 148 .637411 •637 673 9 637 935 .638 197 .638458 .638 720 .638981 9.639 242 •639 5°3 •639 764 .640 024 .640 284 9.640 544 .640 804 .641 064 .641 324 .641 583 9.641 842 Cos. D. 1". 4-52 4-52 4-5° 4-5° 4.50 4.50 4-5° 4.48 4.48 4.48 4.48 4.48 4-47 447 4-47 4-47 4-45 4-47 4-45 4-45 4-45 4-43 4-43 4-45 4-43 4.42 4-43 4.42 4.42 4.42 4.42 4.42 4.40 4.40 4.40 4.40 4.40 4-38 4-38 4-38 4-38 4-37 4.38 4-37 4-37 4-37 4-35 4-37 4-35 4-35 4-35 4-35 4-33 4-33 4-33 4-33 4-33 4-33 4.32 4-32 D. 1". Cos. 9.957 276 •957 217 •957 158 .957099 •957 040 9-956 9Si .956921 .956 862 .956 803 .956 744 9.956 684 .956 625 .956 566 .956 506 .956447 9-956387 •956327 .956 268 .956 208 .956 148 9.956 089 .956029 •955 969 •955 909 •955 849 9.955 789 •955 729 •955 669 •955 609 •955 548 9-955 488 •955 428 •955 368 •955 307 •955 247 9-955 lg 6 •955 I2 6 •955 o6 5 •955 005 •954 944 9.954 883 •954 823 •954 762 •954 701 •954 640 9-954 579 ■954 5*8 •954 457 •954 396 •954 335 9.954 274 •954 213 ■954 152 •954 090 •954 029 9.953968 •953 906 •953 845 •953 783 •953 722 9.953660 D. 1", •98 1. 00 1. 00 1. 00 1. 00 1. 00 1. 00 1. 00 1. 00 1. 00 1. 00 1.02 i. 00 1. 00 1. 00 1.02 1. 00 1.02 1. 00 1.02 1. 00 1.02 1.02 1. 00 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.03 1.02 1.02 1.03 1.02 1.03 1.02 1.03 P. 1" 64° Tan. 9.668 673 .669 002 .669 332 .669 661 .669 991 9.670 320 .670 649 .670977 .671 306 .671 635 9.671 963 .672 291 .672 619 .672 947 .673 274 9.673 602 .673 929 •674 257 •674 584 .674911 9.675 237 •675 564 .675 890 .676217 .676 543 9.676 869 .677 194 .677 520 .677 846 .678171 9.678 496 .678821 .679 146 .679471 •679 795 9.680 1 20 .680 444 .680 768 .681 092 .681 416 9.681 740 .682 063 .682 387 .682710 .683 033 9.683 356 .683 679 .684001 .684 324 .684 646 9.684 968 .685 290 .685612 •685 934 .686 255 9.686 577 .686 898 .687 219 .687 540 .687 861 9.688 182 Cot. D. 1". 5.48 5-5° 548 5.50 548 5.48 547 548 5.48 547 547 547 547 545 547 545 547 545 545 543 545 543 545 543 543 542 543 543 5.42 542 542 542 5-42 540 542 5-4° 5.40 5.40 540 540 5-38 54° 5-38 5-38 5-38 5-38 5-37 5-38 5-37 5-37 5-37 5-37 5-37 5-35 5-37 5-35 5-35 5-35 5-35 5-35 D. 1". Cot. Q-33I 327 •330 998 .330 668 •33° 339 .330 009 0.329 680 •329 35 ! •329 023 .328 694 •328 365 0.328 037 •327 7°9 •327 381 •327 053 .326 726 0.326 398 .326071 •325 743 .325416 •325 089 0.324 763 •324436 .324 no •323 783 •323 457 0.323 131 .322 806 .322 480 .322154 .321 829 0.321 504 .321 179 .320854 .320 529 .320 205 0.319880 .319 556 .319232 .318908 .318584 0.318260 •317 937 •317 613 .317290 .316967 0.316644 .316321 •3 ' 5 999 .315676 •315 354 0.315032 .314710 .314388 .314066 •313 745 0.313423 .313 102 .312781 .312460 .312139 0.311 818 Tan. 44 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 26° o 9.641 842 I .642 IOI a .642 360 3 .642618 4 .642 877 5 9-643 135 6 •643 393 7 .643 650 8 .643 908 9 .644 165 IO 9.644 423 ii .644 680 12 .644 936 13 •645 *93 14 .645 450 *5 9.645 706 16 .645 962 17 .646218 18 .646 474 19 .646 729 20 9.646 984 21 .647 240 22 .647 494 23 .647 749 24 .648 004 2.5 9.648 258 26 .648512 27 .648 766 28 .649 020 29 .649 274 30 9.649 527 31 .649 781 32 .650034 33 .650 287 34 •650 539 35 9.650 792 36 .651044 37 .651 297 38 •651 549 39 .651 800 40 9.652052 4i .652 304 42 .652555 43 .652 806 44 •653 057 45 9.653 308 46 •653 558 47 .653 808 48 .654059 49 •654 3°9 5o 9-654 55 8 5i .654 808 52 .655 058 53 •655 307 54 •655 556 55 9655 805 56 .656054 57 .656302 58 .656551 59 .656 799 60 9.657 047 Cos. D. 1". 4-32 4-32 4-30 4-32 4-30 4-30 4.28 4-3° 4.28 4-30 4.28 4.27 4.28 4.28 4.27 4.27 4.27 4.27 4.25 4.25 4.27 4-23 4.25 4.25 4.23 4-23 4-23 4-23 4-23 4.22 4-23 4.22 4.22 4.20 4.22 4.20 4.22 4.20 4.18 4.20 4.20 4.18 4.18 4.18 4.18 4.17 4.17 4.18 4.17 4-15 4.17 4.17 4.15 4.15 4.15 4-15 413 4.15 4'3 4-13 Cos. 9.953 660 •953 599 •953 537 •953 475 •953 413 9-953 35 2 •953 290 •953 228 •953 166 •953 104 9.953 042 .952980 .952918 •952855 •952 793 9-95 2 73i .952 669 .952 606 •952 544 .952481 9.952419 •952 356 •952 294 •952 231 .952 168 9.952 106 •952 043 .951 980 .951917 •95 r 854 9-95 l 79i •95 l 728 .951 665 .951 602 •95 ! 539 9.951476 .951412 •95 * 349 .951 286 .951 222 9-95 J '59 .951096 .951032 .950 968 .950 905 9.950 841 .950 778 .950714 .950 650 .950 586 9.950 522 •95 458 •95° 394 •95° 330 .950 266 9.950 202 .950 138 .950074 .950010 ■949 945 9-949 881 Sin. D. 1". Tan. 9.688 182 .688 502 .688 823 ■689 143 • 689 463 9-68 9 783 .690 103 .690 423 .690 742 .691 062 9.691 381 .691 700 .692019 .692 338 .692 656 9.692 975 •693 293 .693612 •693 930 .694 248 9.694 566 .694 883 .695 201 .695518 •695 836 9.696 153 .696 470 .696 787 •697 103 .697 420 9.697 736 •698053 .698 369 .698 685 .699001 9.699316 •699 632 •699 947 .700 263 .700 578 9.700 893 .701 208 •7°i 523 .701 837 .702 152 9.702 466 .702 781 .703 095 .703 409 .703 722 9.704 036 .704 350 .704 663 .704 976 .705 290 9.705 603 .705916 .706 228 .706 541 .706854 9.707 166 Cot. D. 1" 5-33 5-35 5-33 5-33 5-33 5-33 5-33 5-32 5-33 5-32 5-32 5-32 5-32 5-30 5-32 5-30 5-32 5-30 5-3o 5-30 5.28 5-30 5.28 5-30 5.28 5.28 5.28 5- 2 7 5-28 5.27 5.28 5-27 5.27 5-27 5- 2 5 5-27 5- 2 5 5-27 5-25 5-25 5-25 5-25 5-23 5- 2 5 5-23 5-25 5-23 5-23 5.22 5-23 5-23 5.22 5.22 5-23 5.22 5.22 5.20 5.22 5.22 5.20 D. 1". Cot. 0.31 1 818 .311498 •3" 177 .310857 •3io537 0.310 217 .309 897 •309 577 .309 258 •308 938 0.308 619 .308 300 .307 981 .307 662 •307 344 0.307 025 .306 707 •306 388 .306 070 •305 752 0.305 434 •305 "7 •304 799 •3°4 482 .304 164 0.303 847 •303 530 •303213 .302 897 .302 580 0.302 264 •301 947 .301 631 •301 315 .300 999 0.300 684 •3°o 368 .300053 ■299 737 .299422 0.299 io 7 .298 792 .298477 .298 163 .297 848 0.297 534 .297219 .296 905 .296 591 .296 278 0.295 964 .295 650 •295 337 .295 024 .294710 0.294 397 .294 084 •293 772 •293 459 .293 146 0.292 834 Tan. 63° LOGARITHMIC SINES, COSINES, TANGENTS, 27° AND COTANGENTS. 45 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 4i 42 43 44 45 46 47 48 49 50 5i 52 53 54 55 5S 57 58 59 60 Sin. 9.657047 •657 295 •657 542 .657 790 .658 037 9.658 284 .658531 .658 778 .659025 .659271 9-659 5*7 .659 763 .660 009 .660255 .660 501 9.660 746 .660991 .661 236 .661 481 .661 726 9.661 970 .662 214 .662 459 .662 703 .662 946 9.663 190 •663 433 .663 677 .663 920 .664 163 9.664 406 .664 648 .664 891 •665 133 •665 375 9.665 617 .665 859 .666 100 .666 342 .666 583 9.666 824 .667 065 .667 305 .667 546 .667 786 9.668027 .668 267 .668 506 .668 746 .668 986 9.669 225 .669 464 ■669 703 .669 942 .670 181 9.670419 .670 658 .670 896 .671 134 .671 372 9.671 609 Cos. D. 1". 413 4.12 4-13 4.12 4.12 4.12 4.12 4.12 4.10 4.10 4.10 4.10 4.10 4.10 4.08 4.08 4.08 4.08 4.08 4.07 4.07 4.08 4.07 4-05 4.07 4.05 4.07 4-05 4-05 4-05 4°3 4-05 403 403 403 4-°3 4.02 4-03 4.02 4.02 4.02 4.00 4.02 4.00 4.02 4.00 3-98 4.00 4.00 3-98 3-98 3-98 3-98 3-98 3-97 3-98 3-97 3-97 3-97 3-95 D. 1". Cos, 9.949 881 .949 816 •949 75 2 .949 688 •949 623 9.949 558 •949 494 •949 429 •949 364 •949 3°o 9-949 235 .949170 •949 105 •949 040 .948 975 9.948910 .948 845 .948 780 .948 715 .948 650 9.948 584 .948519 •948 454 .948 388 •948 323 9.948 257 .948 192 .948 126 .948 060 •947 995 9.947 929 .947 863 •947 797 •947 73i •947 66 5 9.947 600 •947 533 •947 467 •947 401 •947 335 9.947 269 •947 203 •947 x 36 •947 °7° .947 004 9-946 937 .946871 .946 804 •946 738 .946671 9.946 604 •946 538 .946471 .946 404 •946 337 9.946 270 •946 203 .946 136 .946 069 .946 002 9-945 935 Sin. D.l' Tan. I.07 I.07 I.08 I.08 I.07 I.08 I.08 I.07 I.08 I.08 I.08 I.08 I.08 I.08 I.08 I.08 I.08 I.08 I. IO I.08 I.08 I. IO I.08 I.IO 1.08 I.IO I.IO 1.08 I.IO I.IO 1.08 1. 12 I.IO I.IO I.IO I.IO I.IO 1. 12 I.IO I.IO 1. 12 I.IO 1. 12 I.IO 1. 12 1. 12 1. 12 1. 12 1. 12 1. 12 D. 1", 6^ 9.707 166 .707478 .707 790 .708 102 .708414 9.708 726 .709 037 •7°9 349 .709 660 .709971 9.710 282 •7 io 593 .710904 .711 215 •7" 525 9.71 1 836 .712146 .712456 .712 766 .713076 9-7!3 386 .713696 .714005 •7*4 314 .714624 9-7*4 933 .715242 •7!5 55i .715 860 .716 168 9.716477 .716785 .717093 .717401 .717709 9.718017 .718325 .718633 .718940 .719248 9-719 555 .719862 .720 169 .720476 .720 783 9.721 089 .721 396 .721 702 .722 009 .722315 9.722 621 .722927 .723 232 •723 538 .723 844 9.724 149 •724 454 .724 760 .725 065 •725 370 9.725 674 D. 1' Cot. 5.20 5.20 5.20 5.20 5.20 5.18 5.20 5.18 5.18 5.18 5.18 5.18 5.18 5 - I7 > 5.18 5-i7 5-!7 5-i7 5-!7 5-'7 5-17 5-^5 S'5 5- J 7 5-i5 5-i5 5i5 5i5 S- l 3 5-15 5-13 5-i3 5-13 5-13 5-13 S- l 3 5-'3 5.12 5-13 5.12 5.12 5.12 5.12 512 5.10 5-i2 5-i° 5-i2 5.10 5.10 510 5.08 5.10 5.10 5.08 5.08 5.10 5.08 5.08 5.07 Cot, 0.292 834 .292 522 .292 210 .291 898 .291 586 0.291 274 .290 963 .290651 .290 340 .290 029 0.289718 .2S9 407 .289 096 .288 785 .288475 0.288 164 .287854 .287 544 .287 234 .286 924 0.286614 .286 304 •285 995 .285 686 .285 376 0.285 067 •284 758 .284 449 .284 140 .283 832 0.283 523 .283215 .282 907 .282 599 .282 291 0.281 983 .281 675 .281 367 .281 060 .280 752 0.280 445 .280 138 •279 831 .279 524 .279217 0.278 91 1 .278 604 .278 298 .277991 .277 685 0.277 379 .277073 .276 768 .276 462 .276 156 0.275 851 •275 546 .275 240 .274 935 .274 630 0.274 326 D. 1". Tan. 60 59 58 57 56 55 54 53 52 5i 50 49 48 47 46 45 44 43 42 4i 40 39 38 37 36 35 34 33 32 31 3° 29 28 27 26 25 24 23 22 21 46 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 28° Sin, o 9.671 609 I .671 847 2 .672 084 3 .672 321 4 .672558 5 9.672 795 6 .673032 7 .673 268 8 • 6 73 505 9 •673 74i to 9-673 977 ii .674213 12 .674 448 13 .674 6S4 14 .674919 15 9-675 155 16 •675 390 *7 .675 624 18 .675 859 19 .676094 20 9.676 328 21 .676562 22 .676 796 23 •677 030 24 .677 264 25 9.677 498 26 .677 731 27 .677 964 28 .678 197 29 .678 430 30 9.678 663 31 .678 895 32 .679 128 33 ■679 360 34 .679 592 35 9.679 824 36 .680 056 37 .680 288 38 .680519 39 ' .680 750 40 9.680 982 4i .681 213 42 .681 443 43 .681 674 44 .681 905 45 9.682 135 46 .682 365 47 •682 595 48 .682 825 49 .683055 50 9.683 284 5i .683514 52 •683 743 53 .683 972 54 .684 201 55 9.684 430 56 .684 658 57 .684 887 58 •685 115 59 •685 343 60 9.685 571 D. 1' Cos. 3-97 3-95 3-95 3-95 3-95 3-95 3-93 3-95 3-93 3-93 3-93 3-92 3-93 3-92 3-93 3-92 3-9° 3-92 3-92 3-9° 3-90 3-90 3-9° 3-90 3-90 3-88 3-88 3-88 3-88 3-88 3-87 3-88 3.87 3-8 7 3-8 7 3-8 7 3.87 3-8 5 3.85 3-87 3-85 3*3 3.85 3-85 3-83 3-83 3-83 3-83 3-83 3-82 3-83 3-82 3-82 3-82 3.82 3.80 3.82 3-8o 3.80 3-8o D. 1". Cos. ID. 1' 9-945 935 .945 868 .945 800 •945 733 .945 666 9-945 598 •945 53i •945 464 •945 396 •945 328 9.945 261 •945 l 93 •945 I2 5 •945 °5 8 •944 99° 9.944 922 •944 854 •944 786 .944718 •944 650 9.944 582 •944 5 14 •944 446 •944 377 •944 3°9 9.944 241 .944172 •944 104 .944036 •943 967 9-943 899 •943 830 •943 761 •943 693 •943 624 9-943 555 •943 486 •943 417 •943 348 •943 279 9.943 210 •943 Hi •943 072 •943 003 •942 934 9.942 864 •942 795 .942 726 .942 656 •942 587 9-942 5I7 •942 448 .942 378 .942 308 •942 239 9.942 169 .942 099 .942 029 .941 959 .941 889 9.941 819 1. 12 113 1. 12 1. 12 '•13 113 113 1. 12 113 I.I3 1. 12 113 1.13 IJ 3 113 1.13 113 i-'3 113 i->3 115 i-i3 113 115 113 113 "5 113 !-!5 "5 113 IX 5 1. 15 1. 15 115 i-*5 1. 15 i-i5 1. 15 1.15 1. 15 i-i5 1. 17 1. 15 1.15 1. 17 JI 5 1.17 115 1. 17 1. 17 1.15 1. 17 1. 17 1. 17 1. 17 1. 17 1. 17 P. 1". 61° Tan. 725 674 725 979 726 284 726 588 726 892 727 197 727501 727 805 728 109 728412 728716 729 020 7 2 9 323 729 626 729 929 730 233 730 535 730838 731 Hi 731 444 731 746 732 048 732 35 1 732 653 732 955 733 257 733 558 733 860 734 162 734 463 734 764 735 °66 735 367 735 668 735 969 736 269 736 570 736 870 737 I7 1 737 471 737 771 738071 738 371 738671 738 97 1 739 271 739 570 739 870 740 169 740 468 740 767 741 066 741 365 741 664 741 962 742 261 742 559 742 858 743 156 743 45" 743 752 Cot. D. 1' 5.08 5.08 5-07 5.07 5.08 5.07 5-07 5.07 5-05 5.07 5-07 5-05 5-05 5-05 5-07 5-°3 5-05 5-05 5-05 5-03 5-03 5-05 5-°3 5-°3 5-°3 5.02 5-°3 5-°3 5.02 5.02 503 5.02 5.02 5.02 5.00 5.02 5.00 5.02 5.00 5.00 5.00 5.00 5.00 5.00 5.00 4.98 5.00 4.98 4.98 4.98 4.98 4.98 4.98 4-97 4.98 4-97 4.98 4-97 4-97 4-97 D. 1". Cot. 0.274 326 .274021 .273716 .273412 .273 108 0.272 803 •272 499 .272 195 .271 891 .271 588 0.271 284 .270 980 .270 677 .270374 .270071 0.269 767 .269 465 .269 162 .268 859 .268 556 0.268 254 .267 952 .267 649 •267 347 •267 045 0.266 743 .266442 .266 140 •265 838 •265 537 0.265 236 .264 934 .264 633 •264 332 .264031 0.263 73 l •263 430 .263 130 .262 829 .262 529 0.262 229 .261 929 .261 629 .261 329 .261 029 0.260 729 .260 430 .260 130 •259831 •259 532 0.259 233 •258 934 .258 635 •258 336 .258 038 0.257 739 .257441 .257 142 .256 844 .256 546 0.256 248 Tan. LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 47 29° Sin. 9.685 571 I .685 799 2 .686 027 3 .686 254 4 .686 482 5 9.686 709 6 .686 936 7 .687 163 8 .687 389 9 .687 616 10 9.687 843 11 .688 069 12 .688 295 13 .688 521 14 .688 747 15 9.688972 16 .689 198 17 .689 423 18 .689 648 19 .689 873 20 9.690 098 21 .690 323 22 .690 548 2.3 .690 772 24 .690 996 25 9.691 220 26 .691 444 27 .691 668 28 .691 892 29 .692115 30 9-692 339 3i .692 562 32 .692 785 33 .693 008 34 .693 231 35 9-693 453 36 .693 676 37 .693 898 38 .694 120 39 •694 342 40 9.694 564 4i .694 786 42 .695 007 43 .695 229 44 .695 450 45 9.695 671 46 .695 892 47 .696113 48 .696 334 49 .696 554 50 9.696 775 51 .696 995 52 .697215 53 •697 435 54 •697 654 55 9.697 874 56 .698 094 57 ■698313 58 .698 532 59 .698751 60 9.698 970 D, 1' 3.80 3.80 3-78 3-8o 3-78 3-78 3-78 377 3-78 3-78 3-77 3-77 3-77 3-77 3-75 3-77 3-75 3-75 3-75 375 375 375 373 373 373 3-73 373 373 37 2 3-73 3-72 3-72 372 372 370 3-72 3-7° 37° 3-7o 3-7° 3-7° 3.68 37o 3.68 3-68 3-68 3-68 3-68 3-6 7 3-68 3-67 3-67 3.67 3-65 367 3-6 7 3.65 3-6 5 3-6 5 3-65 D. 1". Cos. 9.941 819 .941 749 .941 679 .941 609 •94i 539 9.941 469 .941 398 .941 328 .941 258 .941 187 9.941 117 .941 046 .940 975 .940 905 .940 834 9.940 763 .940 693 .940 622 •940 55 1 .940 480 9.940 409 •940 338 .940 267 .940 196 .940 125 9.940 054 •939 982 .939911 •939 840 •939 768 9-939 697 •939 625 •939 554 •939 482 .939410 9-939 339 •939 267 •939 195 •939123 •939052 9.938 980 .938 908 •938 836 •938 763 .938691 9.938619 •938 547 •938 475 .938 402 •938 33° 9.938 258 .938 185 .938 113 •938 040 ■937 967 9-937 895 •937 822 •937 749 •937676 •937 604 9-937 531 Sin. D. 1' P. 1". 60° Tan. 9743 752 .744050 744 348 744 645 744 943 9.745 240 •745 538 •745 835 .746 132 746429 9.746 726 747 °23 747 319 .747 616 747 913 9.748 209 748 505 .748 801 749 097 749 393 9.749 689 749 985 .750 281 .750576 .750872 9.751 167 .751462 •75i 757 •752052 •752 347 9.752 642 •752 937 753 231 753 526 .753820 9.754 115 •754 409 754 7°3 754 997 755 291 9755 585 755 878 .756172 756465 756 759 9757 052 •757 345 757 638 757 931 .758224 9758 517 .758810 .759 102 759 395 759 687 9759 979 .760 272 .760 564 .760856 .761 148 976i 439 Cot, D. 1" 4-97 4-97 4-95 4-97 4-95 4-97 4-95 4-95 4-95 4-95 4-95 4-93 4-95 4-95 4-93 4-93 4-93 4-93 4-93 4-93 4-93 4-93 4.92 4-93 4.92 4.92 4.92 4.92 4.92 4.92 4.92 4.90 4.92 4.90 4.92 4.90 4.90 4.90 4.90 4.90 4.88 4.90 4.88 4.90 4.88 4.88 4.88 4.88 4.88 4.88 4.88 4.87 4.88 4.87 4.87 4.88 4.87 4.87 4.87 4.85 D. 1". 0.256 248 60 •255 950 59 •255652 58 •255 355 57 •255057 5b 0.254 760 55 •254462 54 .254 165 .253 S68 53 52 •253 571 5x 0.253 274 50 •252 977 49 .252681 48 •252 384 47 .252087 46 0.251 791 45 •251495 44 .251 199 43 •250 903 42 .250 607 4i 0.250 31 1 40 .250015 39 •249 719 38 .249 424 37 .249 128 36 0.248 833 3S .248 538 34 •248 243 33 .247 948 32 •247 653 3i 0.247 358 30 •247 063 29 .246 769 28 •246 474 27 .246 180 26 0.245 885 25 •245 59i 24 •245 297 23 •245 o°3 22 •244 7°9 21 0.244415 20 .244 122 19 .243 828 18 •243 535 17 .243 241 ib 0.242 948 15 •242 655 14 .242 362 13 .242 069 12 .241 776 11 0.241 483 10 .241 190 9 .240 898 8 .240 605 7 .240313 6 0.240021 5 •239 728 4 •239 436 3 •239 144 2 .238852 1 0.238 561 48 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 30° Bin, D. 1' Cos. Tan, D. 1", o 9.698 970 I .699 189 2 .699 407 3 .699 626 4 .699 844 S 9.700062 6 .700 280 7 .700498 8 .700716 9 •7°o 933 IO 9.701 151 ii .701 368 12 •7°! 585 13 .701 802 14 .702019 15 9.702 236 ib .702452 17 .702669 18 .702885 19 .703 IOI 20 9-7°3 3i7 21 •703 533 22 •7°3 749 23 .703964 24 .704179 25 9- 7°4 395 26 .704610 27 .704825 28 .705 040 29 .705 254 30 9.705 469 31 .705 683 32 .705 898 33 .706 112 34 .706326 35 97 6 539 3b .706 753 37 .706 967 3« .707 180 39 •707 393 40 9.707 606 4i .707819 42 .708032 43 .708 245 44 •708 458 4S 9.708 670 46 .708882 47 .709 094 48 .709 306 49 .709518 50 9.709 730 5i .709941 52 •710 153 53 .710364 54 •710 575 55 9.710 786 56 .710997 57 .711 208 58 .711419 59 .711 629 60 9.7 1 1 839 3-65 3.63 3-65 3-63 3-6 3 3-6 3 3.63 3-63 3-62 3-63 3.62 3.62 3.62 3.62 3.62 3.60 3.62 3.60 3.60 3.60 3.60 3.60 3.58 3-58 3.60 3-58 3-58 3.58 3 ' S l 3-58 3-58 3-57 3-57 3-55 3-57 3-57 3-55 3-55 3-55 3-55 3-55 3-55 3-55 3-53 3-53 3-53 3-53 3-53 3-53 3-52 3-53 3-52 3-52 3-52 3-5 2 3-52 3-5 2 3-50 3-50 D. 1". 9-937 531 •937 458 •937 385 •937 312 •937 238 9-937 165 •937 092 .937019 .936 946 .936872 9-936 799 •936 725 •936652 •936 578 •936 505 9-936 43 1 •936 357 .936 284 .936210 •936 136 9.936062 •935 988 •935 914 •935 840 •935 766 9-935 692 •935 618 •935 543 •935 469 •935 395 9-935 320 •935 246 •935 171 •935 097 •935 022 9-934 948 •934 873 •934 798 •934 723 •934 649 9-934 574 •934 499 •934 424 •934 349 •934 274 9-934 199 •934123 •934 048 •933 973 •933 898 9.933 822 •933 747 •933 671 •933 596 •933 520 9-933 445 •933 369 •933 293 •933 217 •933 Hi 9-933 066 . Sin. D. 1". 59° 9-761 439 .761 731 .762 023 .762314 .762 606 9.762897 .763 188 •763479 .763 770 .764061 9-764352 •764643 •764 933 •765 224 •7655H 9-765 805 .766095 .766 385 .766675 .766 965 9.767255 •767 545 .767 834 .768 124 .768414 9.768 703 .768992 .769 281 .769571 .769 860 9.770 148 •770437 .770 726 .771015 •771 303 9.771 592 .771 880 .772 168 •772457 •772 745 9773033 •773321 •773 608 •773 896 .774184 9-774 47 1 •774 759 •775 046 •775 333 .775621 9.775 908 .776195 .776482 .776768 •777 055 9-777 342 .777628 •777 915 .778 201 .778488 9-778 774 Cot, 4.87 4.87 4-85 4.87 4-85 4-85 4.85 4-85 4-85 4.85 4-85 4.83 4-85 4-83 4.85 4-83 4-83 4-83 4-83 4-83 4-83 4.82 4-83 4-83 4.82 4.82 4.82 4-83 4.82 4.80 4.82 4.82 4.82 4.80 4.82 4.80 4.80 4.82 4.80 4.80 4.80 4.78 4.80 4.80 4.78 4.80 4.78 4.78 4.80 4.78 4.78 4.78 4-77 4.78 4.78 4-77 4.78 4-77 4.78 4-77 D. 1". 0.238 561 60 .238 269 59 •237977 58 .237 686 57 •237 394 56 0.237 io 3 55 .236812 54 .236521 53 .236 230 52 •235 939 5i 0.235 648 5o •235 357 49 •235 067 48 •234 776 47 •234 486 46 0.234 195 45 •233 905 44 ■233615 43 •233 325 42 •233 035 41 0.232 745 40 ■232 455 39 .232 166 38 .231 876 37 .231 586 36 0.231 297 35 .231 008 34 .230719 33 .230429 32 .230 140 3i 0.229 852 30 •229 563 29 .229 274 28 .228 985 27 .228697 26 0.228 408 25 .228 120 24 .227 832 23 •227 543 22 .227255 21 0.226 967 20 .226679 19 .226392 18 .226 104 17 .225816 16 0.225 5 2 9 15 .225 241 14 •224954 13 .224 667 12 •224 379 II 0.224092 10 .223 S05 9 .223518 8 .223 232 7 .222 945 6 0.222 658 5 .222 372 4 .222085 3 .221 799 2 .221 512 1 0.221 226 Tan. LOGARITHMIC SINES, COSINES, TANGENTS, 31° AND COTANGENTS. 49 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 5i 52 53 54 55 56 57 58 59 60 Bin, 9.71 1 839 .712050 .712 260 .712469 .712679 9.712 889 .713098 •7!3 3o8 •713 5»7 .713726 9-7J3 935 .714 144 •7!4 35 2 .714561 .714769 9.714978 .715186 •715 394 .715 602 .715 809 9.716017 .716224 .716432 .716639 .716846 9717 °53 .717259 .717466 .717673 .717879 9.718085 .718291 .718497 .718703 .718909 9.719 114 .719320 •719 525 .719730 •719 935 9.720 140 •720 345 .720 549 .720 754 .720958 9.721 162 .721 366 .721 570 .721 774 .721 978 9.722 181 .722385 .722588 .722791 .722 994 9.723 197 .723 400 .723 603 .723 805 .724 007 9.724 210 Cos. D. 1' 3-52 3-5°. 348 3-50 3-50 3-48 3-5° 3-48 348 348 348 347 348 347 348 347 347 347 345 347 345 347 345 345 345 343 345 345 343 343 343 343 343 343 342 343 342 342 342 342 342 340 342 340 340 340 340 340 340 3.38 34° 3-38 3-38 338 3-38 3-38 3-38 3-37 3-37 3-38 D. 1". Cos. 9.933 066 .932 990 .932914 .932838 .932 762 9.932 685 .932 609 •932 533 •932 457 .932 380 9-932 304 .932 228 •932 15 1 •932075 .931 998 9.931 921 •93i 845 .931 768 .931 691 .931 614 9-931 537 .931 460 •931 383 .931 306 .931 229 9-931 152 •93i 075 .930 998 .930921 •930 843 9.930 766 .930 688 .930611 •930 533 .930456 9-93° 378 .930 300 .930 223 •930 145 .930067 9.929 989 .929911 •929 833 •929 755 .929 677 9-929 599 .929 521 •929 442 •929 364 .929 286 9.929 207 .929 129 .929 050 .928 972 .928 893 9.928815 .928 736 •928 657 .928 578 •928 499 9.928 420 D. 1", 1.27 1.27 1.27 1.27 1.28 1.27 1.27 1.27 1.28 1.27 1.27 1.28 1.27 1.28 1.28 1.27 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.28 1.30 1.28 1.30 1.28 1.30 1.28 1.30 1.28 1.30 1.30 1.30 1.30 1.30 1.30 1.30 1.30 1.30 1.32 1.30 1.30 1.32 1.30 1.32 1.30 1.32 1.30 1.32 1.32 1.32 1.32 1.32 P. 1" 58° Tan, 9.778774 .779 060 •779 346 •779 632 .779918 9.780 203 .780 489 .780 775 .781 060 .781 346 9.781 631 .781 916 .782 201 .782 486 .782771 .783056 783 34i .783626 .783910 .784 195 .784 479 .784 764 .785 048 •785 332 .785616 .785 900 .786 184 .786 468 .786752 .787 036 •787 319 .787 603 .787 886 .788 170 ""'453 .788 736 .789019 .789 302 •789 585 .789 868 .790151 .790 434 .790 716 .790 999 .791 281 •791 5 6 3 .791 846 .792 128 .792410 ,792 692 792 974 793 256 793 538 793819 794 101 794 383 794 664 794 946 795 227 795 5°8 795 789 Cot. D. 1". 4-77 4-77 4-77 477 4-75 4-77 4-77 4-75 4-77 4-75 4-75 4-75 4-75 4-75 4-75 4-75 4-75 4-73 4-75 4-73 4-75 4-73 4-73 4-73 4-73 4-73 4-73 4-73 4-73 4.72 4-73 4.72 4-73 4.72 4.72 4.72 4.72 4.72 4.72 4.72 4.72 4.70 4.72 4.70 4.70 4.72 4.70 4.70 4.70 4.70 4.70 4.70 4.68 4.70 4.70 4.68 4.70 4.68 4.68 4.68 D. 1". Cot. 0.221 226 .220 940 .220 654 .220 368 .220 082 0.219 797 .219511 .219 225 .2 1 8 940 .218 654 0.218 369 .218084 •217 799 .217514 .217 229 0.216 944 .216 659 .216374 .216090 .215 805 0.215 521 .215 236 .214952 .214668 .214384 0.214 100 .213816 •213 532 .213248 .212 964 0.212 681 .212397 .212 114 .211 830 .211547 0.21 1 264 .210981 .210 698 .210415 .210 132 0.209 849 .209 566 .209 284 .209001 .208 719 0.208 437 .208 154 .207872 .207 590 .207 308 0.207 026 .206 744 .206 462 .206 181 .205 899 0.205 617 •205 336 .205 054 •204 773 .204492 0.204 211 Tan. 50 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 32° Sin. D. 1". Cos. D. 1". Tan, D. 1' Cot. o 9.724 210 I .724412 2 .724614 3 .724816 4 .725017 5 9.725 219 6 .725 420 7 .725 622 8 .725 823 9 .726 024 IO 9.726 225 ii .726426 12 .726 626 13 .726827 14 .727027 15 9.727 228 16 .727428 17 .727 628 iS .727 828 19 - .728027 20 9.728 227 21 .728 427 22 .728 626 23 .728825 24 .729024 25 9.729 223 2b .729422 27 .729 621 28 .729 820 29 .730018 30 9.730217 31 •73041S 32 •730613 33 .730811 34 .731009 35 9.731 206 36 .731 404 37 .731 602 38 •73i 799 39 .731 996 40 9-732 193 4i •732 390 42 •732 5 8 7 43 .732 784 44 .732 980 45 9-733 177 4 b •733 373 47 •733 5 6 9 48 •733 765 49 •733 96i 50 9-734I57 5i •734 353 52 -734 549 53 •734 744 54 •734 939 55 9-735 135 5b •735 330 57 •735 525 58 •735 l l 9 59 •735 9H 60 9.736 109 Oos. 3-37 3-37 3-37 3-35 3-37 3-35 3-37 3-35 3-35 3-35 3-35 3-33 3-35 3-33 3-35 3-33 3-33 3-33 3-32 3-33 3-33 3-32 3-32 3-32 3-32 3-32 3-32 3-32 3-3° 3-32 3-30 3-3° 3-30 3-30 3.28 3-30 3-3o 3-28 328 3-28 3-28 3.28 328 3-27 328 3-27 3-27 327 3-27 3-27 3-27 3-27 3-25 3-25 3-27 3-25 3-25 3-23 3-25 3-25 D. 1". 9.928 420 .928 342 .928 263 .928 183 .928 104 9.928 025 .927 946 .927 867 .927 787 .927 708 9.927 629 •927 549 .927 470 .927 390 .927-310 9.927 231 .927151 .927071 .926991 .926911 9.926831 .926751 .926671 .926591 .926 511 9.926431 .926351 .926 270 .926 190 .926 no 9.926 029 •925 949 .925 868 .925 788 .925 707 9.925 626 •925 545 .925 465 .925 384 •925 303 9.925 222 .925 141 .925 060 .924 979 •924 897 9.924816 •924 735 .924 654 .924572 .924491 9.924 409 .924328 .924 246 .924 164 •924 083 9.924001 .923919 •923 837 •923 755 •923 673 9-923 59i 570 9-795 789 .796070 •796 35 1 .796 632 .796913 9.797 194 •797 474 •797 755 •798 036 .798316 9.798 596 .798877 .799157 •799 437 .799717 9-799 997 .800 277 .800 557 .800 836 .801 116 9.801 396 .Soi 675 .801 955 .802 234 .802513 9.802 792 .803 072 •803 35 J .803 630 .803 909 9.804 187 .804 466 •804 745 .805 023 .805 302 9.805 580 •805 859 .806 137 .806415 .806 693 9.806971 .807 249 •807 527 .807 805 .808 083 9.808 361 .808 638 .808916 .809 193 .809471 9.809 748 .810025 .810 302 .810580 .810857 9.81 1 134 .811 410 .811687 .811 964 .812 241 9-812517 Got. 4.68 4.68 4.68 4.68 4.68 4.67 4.68 4.68 4.67 4.67 4.68 4.67 4.67 4.67 4.67 4.67 4.67 4-65 4.67 4.67 4-65 4.67 4-65 4.65 4-65 4.67 4.65 4-65 4.65 4-63 4-65 4-65 4-63 4-65 463 4.65 4-63 463 4-63 4.63 4-63 4-63 4.63 463 4-63 4.62 4-63 4.62 4-63 4.62 4.62 4.62 4-63 4.62 4.62 4.60 4.62 4.62 4.62 4.60 1 d^: 0.204 211 •203 930 .203 649 .203 368 .203 087 0.202 806 .202 526 .202 245 .201 964 .201 684 0.201 404 .201 123 .200 843 .200 563 .200 283 0.200003 •199 723 •199443 .199 164 .198884 0.198 604 .198325 .198045 .197766 .197487^ 0.197 208 .196928 .196649 .196370 .196091 0.195 813 •195 534 •195 255 •194977 .194698 0.194420 .194141 .193863 •193585 •193307 0.193029 .192751 .192473 .192195 .191917 0.191 639 .191 362 .191 084 .190 807 .190529 0.190 252 .189975 .189698 .189420 .189143 0.188 866 .188590 .188313 .188036 •187 759 0.187483 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 33° 51 M. Sin. D. 1". Cos. D. 1". Tan. D. 1". Cot. o 9.736 109 3-23 3-25 9-923 591 i-37 i-37 i-37 i-37 i-37 1.38 i-37 1.38 i-37 1.38 9.812 517 .4.62 ° 4.60 4.62 187 483 60 i .736 303 .923 509 .812794 187 206 59 2 .736 498 •923 427 .813070 1 86 930 58 3 .736 692 3- 2 3 •923 345 •813 347 186653 57 4 5-. .736 886 9.737 080 3- 2 3 3-23 3-23 3.22 3-23 .923 263 9.923 181 .813-623 9.813899 4.60 4.62 ° 4.60 4.60 4.60 4.60 186377 186 101 56 55 6 •737 274 .923 098 .814176 185 824 54 7 •737 467 .923016 .814452 185 548 53 8 .737661 •922 933 .814728 185272 52 9 •737 855 3- 2 3 3.22 3.22 3.22 3.22 .922851 .815 004 184 996 5i IO 9.738 048 9.922 768 i-37 1.38 1.38 i-37 1.38 9.815 280 4.58 184 720 50 ii .738241 .922 686 •f^ 555 .815831 184445 49 12 •738 434 .922 603 4.60 4.58 4.60 184 169 48 13 .738 627 .922 520 .816 107 183893 47 14 .73S820 3.22 3.22 3.22 3.20 3.20 3.22 3.20 .922 438 .816382 183 618 46 15 9-739 0I3 9-922 355 1 ^8 9.816658 4.58 4.60 4-58 4-58 4.60 183 342 45 16 17 .739 206 •739 398 .922 272 .922 189 1.38 1 -iR •816933 .817 209 183067 182 791 44 43 18 •739 590 .922 106 MS .817484 182516 42 19 •739 783 .922023 '•j° I.38 •8i7 759 182 241 4i 20 9-739 975 3.20 3.20 3-i8 3.20 3.20 9.921 940 1.38 1.38 1-38 1.40 1.38 9.818035 4.58 4.58 4.58 4-58 4-S8 181 965 40 21 22 .740 167 •740 359 .921 857 .921 774 .818310 .818585 181 690 181 415 39 38 23 .740550 • .921 691 .818860 181 140 37 24 .740 742 .921 607 .819135 180865 36 25 9-74° 934 3.18 318 3.20 318 3-i7 3.18 3:18 3-iS 9.921 524 1.38 1.40 1.38 1.40 1.3S 1.40 1.40 1.38 9.819 410 4.58 4-58 4 - 5 Z 4.58 4.57 ° 4.58 180 590 35 26 .741 125 .921 441 .819684 180 316 34 27 .741 316 •921 357 .819959 - 180 041 33 28 29 30 .741 508 .741 699 9.741 889 .921 274 .921 190 9.921 107 .820 234 .820 508 9.820 783 179766 179492 179 217 32 3i 30 31 .742 080 .921 023 .821 057 178 943 29 32 .742 271 .920 939 .821 332 178668 28 33 .742 462 .920856 .821 606 4-57 178 394 27 34 .742 652 3- r 7 3-17 3.18 3i7 3-17 315 317 317 315 3-i7 3-15 3-15 315 3-i5 315 3-13 3 l S 3-*3 .920 772 1.40 1.40 1.40 1.40 1.40 1.40 1.40 1.40 1.42 1.40 1.40 1.42 1.40 1.42 1.40 .821 880 4-57 4-57 4.58 4-57 4-57 178 120 26 35 9.742 842 9.920 688 9.822 154 177846 25 36 •743 °33 .920 604 .822429 l 77S7 l 24 37 •743 223 .920 520 .822 703 177297 23 38 •743 413 .920 436 .822 977 177023 22 39 40 •743 602 9-743 792 .920 352 9.920 268 •823251 9-823 524 4-57 4 ' 55 176749 176476 21 20 4i •743 982 .920 184 .823 798 4-57 4-57 176 202 19 42 .744 1 7 1 .920099 .824 072 175928 18 43 .744 361 .920015 •824 345 4-55 1 75 655 17 44 •744 55° .919931 .824619 4-57 4 ' 57 175 38i 16 45 9-744 739 9.919846 9.824 893 175 107 15 46 •744 928 .919.762 .825 166 4-55 174834 14 47 •745 "7 .919677 •825 439 4-55 174 561 13 48 •745 306 •919 593 •825 713 4-57 174287 12 49 50 5i •745 494 9-745 6 83 •745 871 .919 508 9.919424 •919 339 1.42 1.40 1.42 .825 986 9.826259 .826532 .826 805 4-55 4 - 55 4-55 174014 173 74i 173468 11 10 9 52 .746 060 3-'5 .919 254 1.42 4-55 173 195 8 53 .746 248 3' 1 3 3-'3 313 313 3.12 3^3 3.12 313 .919 169 1.42 .827078 4-55 172922 7 54 .746436 .919085 1.40 1.42 •827351 4-55 4 ' 55 172649 6 55 9.746 624 9.919000 9.827 624 172376 5 56 .746812 .918915 1.42 .827897 4-55 172 103 4 1 57 .746 999 .918830 1.42 .828170 4-55 171 830 3 58 •747 187 •918 745 1.42 1-43 1.42 .828 442 4-53 4-55 4 - 53 171 558 2 59 •747 374 .918659 .828715 171 285 1 60 9.747 562 9.918 574 9.828 987 171 013 Cos. D. 1". Sin. D. 1". Cot. D. 1". Tan. M. 56° 52 LOGARITHMIC SINES, COSINES, TANGENTS, 34° AND COTANGENTS. Sin. D. 1". Cos. D. 1' Tan. D. 1", Cot. o 9.747 562 I •747 749 2 •747 936 3 .748123 4 .748310 S 9.748 497 6 .748 683 7 .748 S70 8 .749056 9 •749 243 IO 9.749 429 ii .749615 12 .749 801 13 •749 987 14 .750172 15 9-75° 35 8 16 •75°543 17 .750 729 18 •75 9i4 19 •75 * °99 20 9.751 284 21 .751469 22 •75 » 6 54 23 •75 r 8 39 24 .752023 25 9.752 208 26 .752392 27 •752 576 28 .752 760 29 •75 2 944 30 9.753128 31 •753 312 32 •753 495 33 •753 679 34 .753862 35 9.754046 3b •754 229 37 .754412 3» •754 595 39 •754 778 40 9.754 960 4i •755 H3 42 •755 326 43 •755 5°8 44 •755 690 45 9-755 872 46 •756054 47 •756 236 48 .756418 49 .756600 50 9.756782 51 .756963 52 •757 i44 53 •757 326 54 •757 507 55 9.757688 56 •757 869 57 .758050 58 •758 230 59 .758411 60 9-758 59I Cos. 3.12 3.12 3.12 3.12 3.12 3.10 3.12 3.10 3.12 3.10 3.10 3.10 3.10 3.08 3.10 3.08 3.10 3.08 3.08 3.08 3.08 3.08 3-o8 3-07 3.08 3-07 3-07 3-07 307 3-07 307 305 3-07 3-05 3-07 3-05 3-05 3-05 3-05 303 3-05 3-05 3-°3 3-03 3-o3 3-03 303 303 303 3°3 3.02 3.02 303 3.02 3.02 3.02 3.02 3.00 3.02 3.00 D. 1". 9.918574 .918489 .918404 .918318 .918 233 9.918 147 .918062 .917976 .917891 .917805 9.917 719 ■917634 •917 548 .917462 .917376 9.917290 .917204 .917118 .917032 .916946 9.916859 .916773 .916 6S7 .916 600 .916514 9.916427 .916341 .916254 .916 167 .916081 9-9I5 994 .915907 .915 820 •915 733 .915 646 9-9I5 559 .915472 •915 385 .915297 .915 210 9.915 123 •915035 .914 948 .914860 •9H773 9.914685 .914598 .914510 .914422 •914 334 9.914 246 .914158 .914070 .913982 .913894 9.913806 .913 718 .913630 •913 54i •913 453 9-9I3 365 Sin. 9.828 987 .829 260 .829 532 .829 805 .830077 9-830 349 .830621 .830 893 .831 165 •831 437 9.831 709 .831 981 •832 253 •832 525 .832 796 9-833 068 •833 339 .833611 .833 882 .834 154 9.834425 .834 696 •834967 •835 238 •835 5°9 9.835 780 .836051 •836322 •836593 .836 864 9-837 134 •837 405 •837 675 •837 946 .838216 9.838 487 •838 757 .839 027 •839 297 .839 568 9.S39 838 .840 108 .840 378 .840 648 .840917 9.841 187 .841 457 .841 727 .841 996 .842 266 9-842 535 .842 805 •843 074 •843 343 .843612 9.843 882 .844151 .844 420 .844 689 .844 958 9-845 22 7 Cot. 4-55 4-53 4-55 4-53 4-53 4-53 4-53 4-53 4-53 4-53 4-53 4-53 4-53 4-52 4-53 4.52 4-53 4.52 4-53 4-52 4.52 4-52 4-5 2 4-5 2 4-5 2 4-5 2 4-5 2 4.52 4-5 2 4.50 4.52 4-5° 4-5 2 4-5° 4-5 2 4-5° 4-5° 4-5° 4-52 4.50 4.50 4-5° 4-5° 4.48 4.50 4-5° 4-5° 4.48 4-5° 4.48 4.50 4.48 4.48 4.48 4-5° 4.48 4.48 4.48 4.48 4.48 D. 1". 0.171 013 .170740 .170468 .170195 .169923 0.169 651 .169379 .169107 .168835 .168563 0.168 291 .16S019 .167747 .167475 .167 204 0.166 932 .166661 .166389 .166 118 .165 846 0.165 575 .165304 ■165033 .164762 .164491 0.164 220 .163949 .163678 .163407 .163 136 0.162866 •162595 .162325 .162054 .161 784 0.161 513 .161 243 .160973 .160703 .160432 0.160 162 .159892 .159 622 •i59 35 2 .159083 0.158 813 •158543 •158273 .158004 •157 734 0.157465 •157 195 .156926 .156657 .156388 0.156 118 .155 849 .155580 •155 3" .155042 Q-I54 773 Tan. 55° LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 35° 53 9.758591 •758772 •75 8 95 2 •759 132 •759 3 J 2 9-759 492 .759672 •759852 .760031 .760 211 9.760390 .760 569 .760 748 .760927 .761 106 9.761 285 .761 464 .761 642 .761 821 .761 999 9.762177 .762356 .762 534 .762 712 .762 889 9.763067 •763 245 .763422 .763 600 •7 6 3 777 9-7 6 3 954 .764131 .764308 .764 485 .764 662 9.764838 .765015 .765 191 .765 367 .765 544 9.765 720 .765 896 .766072 .766 247 .766423 9.766598 .766 774 .766 949 .767124 .767 300 9-767 475 •767 649 .767824 •767 999 •768173 9.768 348 .768522 .768697 .768871 .769 045 9.769219 D. 1". 3.02 3.00 3.00 3.00 3.00 3.00 3.00 2.98 3.00 2.98 2.98 2.98 2.97 2.98 2.97 2-97 2.98 2-97 2.97 2-95 2.97 2.97 2-95 2.97 2-95 2.95 2-95 2-95 2-95 2-95 2-93 2-95 2-93 2-93 2-95 2-93 2-93 2-93 2.92 2-93 2.92 2-93 2.92 2.92 2-93 2.92 2.90 2.92 2.92 2.90 2.92 2.90 2.92 2.90 2.90 2.90 D. 1" 9-9I3 365 .913276 •913 187 .913099 .913010 9.912922 •912833 .912744 .912655 .912 566 9.912477 .912388 .912 299 .912 210 .912 121 9.912 031 .911 942 •911 853 .911 763 .911674 9.91 1 584 .91 1 495 .911405 •9"3!5 .911 226 9.91 1 136 .911 046 .910956 .910866 .910 776 9.910 686 .910 596 .910 506 .910415 .910325 9.910235 .910 144 .910054 •909 963 .909 873 9.909 782 .909 691 .909 601 .909 510 .909 419 9.909 328 .909 237 .909 146 .909 055 .908 964 9.908873 .908 781 .908 690 .908 599 .908 507 9.908416 .908 324 .908 233 .908 141 .908 049 9-907 958 Sin. D.l' 50 5° 48 5° 50 5° 50 5° 5° 5° 50 5^ 5° 5° 52 5° 52 5° 52 5 2 5° 52 52 52 52 52 52 52 52 53 52 52 53 S 2 53 S 2 53 53 52 D. 1". 54° 9.845 227 .845 496 .845 764 .846 033 .846 302 9.846 570 .846 839 .847 108 .847 376 •847 644 9.847913 .848 181 .848 449 .848717 .848 986 9.849 254 .849 522 •849 790 .850057 .850 325 9850 593 .850861 .851 129 .851 396 .851664 9.851 931 .852 199 .852 466 •852 733 .853001 9.853 268 •853 535 .853 802 .854 069 •854 336 9.854 603 .854 870 .855 137 •855 404 •855 671 9-855 938 .856 204 .856471 •856 737 .857004 9.857 270 •857 537 .857 803 .858 069 .858336 9.858 602 .858 868 •859 134 .859 400 .859 666 9.859 932 .860 198 .860 464 .860 730 .860 995 9.861 261 Ooti D. 1' 4.48 4-47 4.48 4.48 4-47 4.48 4.48 4-47 4-47 4.48 4-47 4-47 4-47 4.48 4-47 4-47 4-47 4-45 4-47 4-47 4-47 4-47 4-45 4-47 4-45 4-47 4-45 4-45 4-47 4-45 4-45 4-45 4-45 4-45 4-45 4-45 4-45 4-45 4-45 4-45 4-43 4-45 4-43 4-45 4-43 4-45 4-43 4-43 4-45 4-43 4-43 4-43 4-43 4-43 4-43 4-43 4-43 4-43 4.42 4-43 D. 1", Cot. 0.154773 60 .154504 59 .154236 58 •153967 57 .153698 56 0.153430 55 .153161 54 .152892 53 .152624 52 •152356 5i 0.152087 5° .151 819 49 •^ss 1 48 .151 283 47 .151 014 46 0.150 746 45 .150478 44 .150 210 43 •149943 42 .149675 4i 0.149407 40 .149 139 39 .148871 38 .148 604 37 .148336 36 0.148069 35 .147 801 34 •147 534 33 .147267 32 .146999 3i 0.146 732 30 .146465 29 .146198 28 •145 93i 27 .145 664 26 0.145 397 25 .145 130 24 .144863 23 .144 596 22 .144 329 21 0.144062 20 .143 796 19 •i43 5 2 9 18 .143 263 17 .142996 16 0.142730 15 .142463 14 .142197 13 .141931 12 .141 664 11 0.141 398 10 .141 132 9 .140866 8 .140 600 7 .140 334 6 0.140068 5 .139802 4 •139 536 3 .139270 2 .139005 1 0.138739 54 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 36° D.l' Cos. D.l' Tan. D.l' Cot, o 9.769219 I •7°9 393 2 .769 566 3 .769 740 4 .769913 5 9.770087 6 .770 260 7 •77° 433 8 .770 606 9 .770779 10 9.770952 ii .771 125 12 .771 298 13 .771 470 14 .771 643 »5 9.771 815 16 .771 987 17 •772 159 18 •77 2 33i 19 .772 503 20 9.772675 21 .772 847 22 .773018 23 •773 190 24 •773 361 25 9-773 533 2b •773 704 27 •773 875 28 •774 046 29 .774217 30 9.774388 31 •774 558 32 •774 729 33 •774 899 34 .775070 35 9.775 240 30 •775 4io 37 •775 580 3« .775750 39 •775 920 40 9.776090 41 .776259 42 .776429 43 .776598 44 .776 768 45 9-776 937 46 .777 106 47 •777 2 75 48 •777 444 49 .777613 50 9.777781 5i •777 95° 52 .778119 53 .778287 54 •778 455 55 9.778624 56 •778 792 57 .778960 58 .779 128 59 •779 295 60 9-779 463 Cos, 2.90 2.88 2.90 2.88 2.90 2.88 2788 2.88 2.88 2.88 2.88 2.87 2.88 2.8 7 2.87 2.87 2.87 2.87 2.87 2.87 2.85 2.87 2.85 2.87 2.85 2.85 2.85 2.85 2.85 2.83 2.85 2.83 2.85 2.83 2.83 2.83 2.83 2.83 2.83 2.82 2.83 2.82 2.83 2.82 2.82 2.82 2.82 2.82 2.80 2.82 2.82 2.80 2.80 2.82 2.80 2.80 2.80 2.78 2.80 D. 1". 9.907958 .907 866 .907 774 .907 682 .907 590 9.907 498 .907 406 ■907 314 .907 222 .907 129 9.907 037 .906 945 .906852 .906 760 .906 667 9.906 575 .906 482 .906 389 .906 296 .906 204 9.906 1 1 1 .906 01 S •905 925 •905 832 •905 739 9.905 645 •905 552 •905 459 .905 366 .905 272 9.905 179 .905 085 •904 992 .904 898 .904 804 9.904 71 1 .904617 .904 523 •904 429 •904 335 9.904 241 •904 147 •904 053 •903 959 .903 864 9.903 770 .903 676 •903 581 .903 487 •903 392 9.903 298 .903 203 .903 108 •903014 .902 919 9.902 824 .902 729 •902 634 .902 539 .902 444 9-9Q2 349 Sin. 53- 9.861 261 •861 527 .861 792 .862058 •862 323 9.862 5S9 .862 854 .863119 .863 385 .863 650 9.863915 .864 180 .864 445 .864 710 •864975 9.865 240 .865 505 .865 770 .866 035 .866 300 9.866 564 .866 829 .867 094 .867 358 .867 623 9.867 887 .868 152 .868416 .868 680 .868 945 9.869 209 .869 473 .869 737 .870001 .870 265 9.870 529 •870 793 .871057 .871 321 .871 585 9.871 849 .872112 .872 376 .872 640 •872 903 9.873 167 •873 430 •873 694 •873 957 .874 220 9.874 484 •874 747 .875010 •875 273 •875 537 9.875 800 .876063 .876 326 .876 589 .876852 9.877 114 4-43 4.42 4-43 4.42 4-43 4.42 4.42 4-43 4.42 4.42 4.42 4.42 4.42 4.42 4.42 4.42 4.42 4.42 4.42 4.40 4.42 4.42 4.40 442 4.40 4.42 4.40 4.40 4.42 4.40 4.40 4.40 4.40 4.40 4.40 4.40 4.40 4.40 4.40 4.40 4-38 4.40 4.40 4-38 4.40 4-38 4.40 4-38 4-38 4.40 4-38 4-38 4-38 4.40 4-38 4.38 4-38 4-38 4-38 4-37 D. 1". 0-138 739 60 •138 473 59 .138208 58 •137 942 57 •137677 56 0.137 411 55 .137146 54 .136881 53 .136615 52 •136350 5i 0.136085 50 .135 820 49 • x 35 555 48 .135 290 47 •135025 46 0.134760 45 •134 495 44 .134230 43 •133965 42 •133700 4i o.i33 436 40 •133 171 39 .132906 38 .132 642 37 •132 377 36 0.132 113 35 .131 848 34 .131 584 33 .131 320 32 •131 055 3i 0.130 791 30 .130527 29 .130263 28 .129999 27 •129735 26 0.129 471 25 .129207 24 .128943 23 .128679 22 .128415 21 0.128 151 20 .127888 19 .127624 18 .127 360 17 .127097 16 0.126833 15 .126 570 M .126 306 13 .126043 12 .125780 11 0.125 5 l6 10 .125253 9 . 1 24 990 8 .124727 7 .124463 6 0.124 200 5 •123 937 4 .123674 3 .123411 2 .123 148 1 0.122 8S6 Tan. LOGARITHMIC SINES, COSINES, TANGENTS, 37° AND COTANGENTS. 55 Sin. 9-779 463 .779631 .779 79S •779 966 •7 8 ° J 33 9.780 300 .7S0467 .780 634 .780 Soi .780 968 9.781 134 .781 301 .781 468 .781 634 .781 800 9.781 966 .782132 .782 298 .782 464 .782 630 9.782 796 .782961 •783127 .783 292 .783458 9-783 623 .783 788 •783 953 .784118 .784 282 9.784447 .784612 .784 77 6 .784941 .785 105 9.785 269 •785 433 •785 597 .785 761 •785 925 9.786089 .786252 .786416 .786579 .786 742 9.786 906 .787069 •787232 •787 395 •787 557 9.787 720 .787 883 .788 045 .788 20S .788 37° 9.788532 .7S8 694 .788856 .789018 .789 180 9-789 342 Cos. D, 1' 2.78 2.80 2.7S 2.7S 2.78 2.78 2.78 2.78 2.77 2.78 2.78 2.77 2-77 2.77 2.77 2.77 2.77 2.77 2.77 2-75 2-77 2-75 2-77 2.75 2-75 2.75 2-75 2-73 2-75 2-75 2-73 2-75 2-73 2-73 2-73 2-73 2-73 2-73 2-73 2.72 2-73 2.72 2.72 2-73 2.72 2.72 2.72 2.70 2.72 2.72 2.70 2.72 2.70 2.70 2.70 2.70 2.70 2.70 2.70 Cos. D. 1' 9.902 349 .902 253 .902 158 .902 063 .901 967 9.901 872 .901 776 .901 681 .901 585 .901 490 9.901 394 .901 29S .901 202 .901 106 .901 010 9.900914 .900818 .900 722 .900 626 .900 529 9.900 433 •900 337 .900 240 .900 144 .900 047 9.899951 .899 854 •899 757 .899 660 .899 564 9.899467 •899 37o •899 273 .899 176 .899 078 9.898981 .898 884 .898 787 .898 689 .898 592 9.898 494 .898 397 .898 299 .898 202 .898 104 9.898 006 .897 908 .897 810 .897712 .897 614 9.897516 .897418 .897 320 .897 222 •897 I2 3 9.897025 .896 926 .896 828 .896 729 .896 631 9.896 532 D. 1". 1.60 1.58 i-58 1.60 1.58 1.60 1.58 1.60 1.58 1.60 1.60 1.60 1.60 1.60 1.60 1.60 1.60 1.60 1.62 1.60 1.60 1.62 1.60 1.62 1.60 1.62 1.62 1.62 1.60 1.62 1.62 1.62 1.62 1.63 1.62 1.62 1.62 1.63 1.62 1.63 1.62 1.63 1.62 1.63 1.63 1-63 1.63 1.63 1.63 1.63 1-63 1.63 1.63 1.65 1.63 1.65 1.63 1.65 1.63 1.65 Tan. 9.877 114 •877 377 .877 640 ■877 903 .S78 165 9.S78428 .878 691 •878 953 .879216 .879 478 9.879 741 .880 003 .880 265 .8S0 528 .880 790 9.881 052 .881 314 .881 577 .881 839 .882 101 9.882 363 .882625 .8S2887 .883 148 .883410 9.883672 .8S3 934 .884 196 .884 457 .884719 9.884 980 .885 242 .885 504 .885 765 .886 026 9.886 288 .886 549 .886811 .887072 •887 333 9.887 594 .887855 .888116 .888 378 .888 639 9.888 900 .889 161 .889421 .889 682 .889 943 9.890 204 ■890 465 •890 7 2 5 .890 986 .891 247 9.891 507 .891 768 .892028 .892 289 .892 549 9.892 810 D. 1' D.l" 52° Cot. 4-38 4-38 4-38 4-37 4-38 4-38 4-37 4-38 4-37 4-38 4-37 4-37 4-38 4-37 4-37 4-37 4-38 4-37 4-37 4-37 4-37 4-37 4-35 4-37 4-37 4-37 4-37 4-35 4-37 4-35 4-37 4-37 4-35 4-35 4-37 4-35 4-37 4-35 4-35 4-35 4-35 4-35 4-37 4-35 4-35 4-35 4-33 4-35 4-35 4-35 4-35 4-33 4-35 4-35 4-33 4-35 4-33 4-35 4-33 4-35 Cot, 0.122886 .122 623 .122 360 .122097 .121835 0.121 572 .121 309 .121047 .120 784 .120 522 0.120259 .119997 • "9 735 .119472 .119 210 0.1 18 948 .118686 .118423 .118 161 .117899 0.1 1 7 637 •"7 375 .117113 .116852 .116 590 0.1 16 328 .116066 .115 804 • "5 543 .115281 0.1 15 020 .114758 .114496 • "4235 •"3 974 0.113 712 • "345 1 .113189 .112928 .112667 o. 1 1 2 406 .112 145 .111884 .111 622 .111 361 O.I 1 1 IOO .110839 .110579 .110318 .110057 0.109 796 •109535 .109275 .109014 .108753 0.108493 .108232 .107972 .107711 .107451 0.107 I 9° D. 1' Tan. 56 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 38° Sin. D. 1' Tan. D, 1" Cot. ).789 342 .789 504 .789 665 .789 827 .789 988 5 9.790 149 b .790310 7 .790471 8 .790 632 9 •790 793 10 9-79° 954 11 •791 "5 12 .791 275 13 •79i 43& 14 .791 596 15 9-791 757 16 .791917 17 .792077 18 .792 237 19 •792 397 20 9792 557 21 .792716 22 .792 876 23 793<535 24 793 195 25 9793 354 26 793 5 r 4 27 793 673 28 793 832 29 793 991 30 9794 15° 31 794 308 32 .794467 33 .794 626 34 794 784 35 9.794 942 36 795 IDI 37 795 259 38 795 417 39 795 575 40 9795 733 4i 795 891 42 .796 049 43 .796 206 44 .796 364 45 9.796521 46 .796 679 47 .796 836 48 796 993 49 797 l S° SO 9797 307 5i 797 464 52 .797 621 53 797 777 54 797 934 55 9.798091 56 .798 247 57 .798 403 58 798 560 59 .798716 60 9.798872 Cos, 2.70 2.68 2.70 2.68 2.68 2.68 2.68 2.68 2.68 2.68 2.68 2.67 2.68 2.67 2.68 2.67 2.67 2.67 2.67 2.67 2.65 2.67 2.65 2.67 2.65 2.67 2.65 2.65 2.65 2.65 2.63 2.65 2.65 2.63 2.63 2.65 2.63 2.63 2.63 2.63 2.63 2.63 2.62 2.63 2.62 2.63 2.62 2.62 2.62 2.62 2.62 2.62 2.60 2.62 2.62 2.60 2.60 2.62 2.60 2.60 D. 1". 9.896 532 ■896 433 •896 335 .896 236 .896 137 9.896 038 •895 939 .895 840 •895 741 .895 641 9.895 542 •895 443 •895 343 .895 244 •895 »45 9-895 °45 •894 945 .894 846 .894 746 .894 646 9.894 546 •894 446 •894 346 .894 246 .894 146 9.894 046 .893 946 .893 846 •893 745 .893 645 9-893 544 .893 444 •893 343 •893 243 .893 142 9.893041 .892 940 .892 839 .892 739 .892 638 9.892 536 .892 435 .892 334 .892 233 .892 132 9.892 030 .891 929 .891 827 .891 726 .891 624 9891 523 .891 421 .891 319 .891 217 .891 115 9.891 013 .890911 .890 809 .890 707 .890 605 9.890 503 51 c 9.892 810 .893 070 .893 331 •893 591 .893851 9.894 in .894 372 .894 632 .894 892 •895 l S 2 9.895412 .895 672 .895 932 .896 192 .896452 9.896712 .896971 •897 231 .897491 .897751 9.898010 .898 270 .898 530 .898 789 .899 049 9.899 308 .899 568 .899 827 .900 087 .900 346 9.900 605 .900 864 .901 124 .901 383 .901 642 9.901 901 .902 160 .902 420 .902 679 .902 938 9.903 197 .903 456 •903714 •903 973 .904 232 9.904491 .904 750 .905 008 .905 267 .905 526 9.905 785 .906 043 .906 302 .906 560 .906819 9.907 077 •907 336 •907 594 •907 853 .908 1 1 1 9.908 369 Cot. 4-33 4-35 4-33 4-33 4-33 4-35 4-33 4-33 4-33 4-33 4-33 4-33 4-33 4-33 4-33 4-32 4-33 4-33 4-33 4-32 4-33 4-33 4-32 4-33 4-32 4-33 4-32 4-33 4-32 4-32 4-32 4-33 4-32 4-32 4-32 4-32 4-33 4-32 4-32 4-32 4-32 4-30 4-32 4-32 4-32 4-32 4-3° 4-32 4-32 4-32 4-30 4-32 4-30 4-32 4-30 4-32 4-30 4-32 4-30 4-3° D. 1". 0.107 l 9° .106930 .106 669 .106409 .106 149 0.105 889 .105 628 .105 368 .105 108 .104 848 0.104 588 .104328 .104068 .103808 .103548 0.103 288 .103029 .102 769 .102 509 .102 249 0.101 990 .101 730 .101 470 .101 211 .100951 0.100692 .100432 .100173 .099913 .099 654 0.099 395 .099 136 .098 876 .098617 .098 358 0.098 099 .097 840 .097 580 .097321 .097 062 0.096 803 .096 544 .096 286 .096027 .095 768 0.095 5°9 .095 250 .094 992 ■094 733 •094 474 0.094 215 •093 957 .093 69S .093 440 .093 181 0.092 923 .092 664 .092 406 .092 147 .091 889 0.091 631 Tan. LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 57 39° Sin, o 9.798 872 I .799 028 2 •799 184 3 •799 339 4 •799 495 S 9.799651 6 .799 806 7 •799 962 8 .800 117 9 .800 272 IO 9.800427 ii .800 582 12 .800 737 13 .800 892 14 .801 047 I5 9.S01 201 16 .801 356 17 .801 511 18 .801 665 19 .801 819 20 9.801 973 21 .802 128 22 .802 282 2.3 .S02 436 24 .802 589 2,5 9.802 743 26 .802 897 27 .803 050 28 .803 204 29 •803 357 30 9.803 511 31 .803 664 32 .803817 33 .803 970 34 .804 123 35 9.804 276 36 .804 428 37 .804 581 38 .804 734 39 .804 886 40 9.805 039 4i .805 191 42 •805 343 43 •805 495 44 .805 647 45 9.805 799 46 •805951 47 .806 103 48 .806 254 49 .806 406 50 9.806557 5i .S06 709 52 .806 860 53 .807011 54 .807 163 55 9.807 314 56 .807 465 57 .807615 58 .807 766 59 .807917 60 9.808067 D. 1' Cos. 2.60 2.60 2.58 2.60 2.60 2.58 2.60 2.58 2.58 2.58 2.58 2.58 2.58 2.58 2.57 2.58 2.58 2-57 2-57 2-57 2.58 2-57 2-57 2-55 2.57 2.57 2-55 2.57 2-55 2-57 2-55 2-55 2 -55 2-55 2-55 2-53 2-55 2-55 2-53 2.55 2-53 2-53 2-53 2-53 2-53 2-53 2-53 2.52 2-53 2.52 2-53 2.52 2.52 2-53 2.52 2.52 2.50 2.52 2.52 2.50 D, 1". Cos. D. 1' 9.890 503 .890 400 .890 298 .890 195 .890 093 9.889 990 .889 888 •889 785 .889 682 •889 579 9.889 477 .889 374 .889271 .889 168 .889 064 9.888961 .888 858 .888 755 .888651 .888 548 9.888 444 .888341 .888 237 .888134 .888 030 9.887 926 .887 822 .887 718 .887614 .887510 9.887 406 .887 302 .887 198 .887 093 .886 989 9.886 885 .886 780 .8S6676 .886571 .886 466 9.886 362 .886257 .886 152 .SS6 047 .S85 942 9.885 837 •885 732 .885 627 .885 522 .8S5416 9.885 311 .S85 205 .885 100 .884 994 .884 889 9.884 783 .884 677 .884 572 .884 466 .884 360 9-884 254 Sin. D. 1". 5CP Tan. 9.908 369 .908 628 .908 886 .909 144 .909 402 9.909 660 .909 918 .910177 .910435 .910693 9.910 951 .9 1 1 209 .911467 .911 725 .911 982 9.912 240 .912498 .912756 .913014 .913271 9-9I3 529 •913 787 .914044 .914302 .914560 9.914 817 •915 075 •915 332 .915590 .915847 9.916 104 .916 362 .916 619 .916877 •917 134 9-9I7 39I .917 648 .917906 .918163 .918420 9.918677 .918934 .919 191 •919 448 .919 705 9.919962 .920 219 .920476 •920 733 .920 990 9.921 247 .921 503 .921 760 .922 017 .922 274 9.922 530 .922 787 •923 044 .923 300 •923 557 9-923 8I4 Cot. D. 1". 4-32 4-3° 4-30 4-3° 4-30 4-30 4-32 4-30 4-30 4-3° 4-3° 4-3° 4-30 4.28 4-3° 4-30 4-3° 4-3° 4.28 4-30 4-30 4.28 4-3° 4-3° 4.28 4-30 4.28 4-3° 4.28 4.28 4-30 4.28 430 4.28 4.28 4.28 4-3° 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.27 4.28 4.28 4.28 4.27 4.28 4.28 4.27 4.28 4.28 D. 1". Cot. 0.091 631 .091 372 .091 114 .090 856 .090 598 0.090 340 .090 082 .089 823 .089 565 .089 307 0.089 °49 .088791 •088 533 .088 275 .088018 0.087 7 6 ° .087 502 .087 244 .086 986 .086 729 0.086471 .086213 .085 956 .085 698 .085 440 0.085 183 .084 925 .084 668 .084410 .084 153 0.083 896 .083 638 .083 381 .083 123 .082 866 0.082 609 .082 352 .082 094 .081 8^7 .081 580 0.081 323 .081 066 .080 809 .080 552 .0S0 295 0.0S0 038 .079 781 •079 524 .079 267 .079010 0.078 753 .078 497 .078 240 .077 983 .077 726 0.077 47o .077213 .076956 .076 700 .076443 0.076 186 Tan. 58 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 40° Sin. D. 1". Tan. D. 1' Cot. 808 067 808218 808 368 808519 808 669 808819 808 969 809 119 809 269 809419 809 569 809718 809 868 810017 810 167 810316 810465 810614 810763 810912 811 061 811 210 811 358 811 507 811 655 811 804 811 952 812 100 812248 812396 812544 812 692 812840 812988 8i3 135 3283 3 430 3 578 3 7 2 5 3872 814019 814 166 814313 814460 814 607 814 753 ,814900 ,815 046 "5iS 193 5l 5 339 !i5 485 (15632 :i5 77S 115924 (16069 (16215 516361 >i6 507 (16652 (16798 ^6943 Cos. 2.52 2.50 2.52 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.48 2.50 2.48 2.50 2.48 2.48 2.48 2.48 2.48 2.48 2.48 2-47 2.48 2-47 2.48 2.47 2.47 2-47 2-47 2.47 2.47 2.47 2.47 2-45 2-47 2-45 2.47 2-45 2.45 2-45 2-45 2-45 2.45 2-45 2-43 2-45 2-43 2-45 2-43 2-43 2-45 2.43 2-43 2.42 2-43 2-43 2-43 2.42 2-43 2.42 9.884 254 .884 148 .884 042 .883 936 .883 829 9-883 723 .883617 .883510 .883 404 .883 297 9.883 191 .883 084 .882977 .882871 .882 764 9.882 657 .882 550 .882 443 .882336 .882 229 9.882 121 .882014 .881 907 .881 799 .881 692 9.881 584 .881 477 .881 369 .881 261 .881 153 9.881 046 .880 938 .880 830 .880 722 .880613 9.880 505 •880 397 .880 289 .880 180 .880072 9.879 963 •879 855 .879 746 .879 637 .879 529 9.879 420 •879 3i 1 .879 202 .879 093 .878 984 9.878875 .878 766 .878656 .878 547 .878438 9.878328 .878219 .878 109 .877 999 .877 890 9.877 780 9.923814 .924 070 •924 327 .924 583 .924 840 9.925 096 •925 35 2 .925 609 .925 865 .926 122 9.926 378 .926 634 .926 890 ■927 147 .927 403 9.927 659 •927915 .928171 .928427 .928 684 9.928 940 .929 196 .929452 .929 708 .929 964 9.930 220 •930 475 •93o 73i .930 987 •93i 243 9-93* 499 •93i 755 .932010 .932 266 •932 522 9.932 778 •933°33 •933 289 ■933 545 ■933 800 9.934056 •934 311 •934 5 6 7 •934 822 •935 78 9-935 333 •935 589 •935 844 .936 100 •936 355 9.936 61 1 .936 866 •937 121 •937 377 •937 632 9-937 887 .938 142 ■938 398 •938 653 .938 908 9-939 163 4.27 4.28 4.27 4.28 4.27 4.27 4.28 4.27 4.28 4.27 4.27 4.27 4.28 4-27 4.27 4.27 4.27 4.27 4.28 4.27 4.27 4.27 4.27 4.27 4.27 4.25 4.27 4.27 4.27 4.27 4.27 4.25 4.27 4.27 4.27 4.25 4.27 4.27 4.25 4.27 4.25 4.27 4-25 4.27 4-25 4.27 4-25 4.27 4.25 4.27 4.25 4-25 4.27 4.25 4.25 4.25 4.27 4.25 4.25 4.25 0.076 186 •075 930 .075 673 .075417 .075 160 0.074 904 .074 648 .074 391 •074 135 .073 878 0.073622 .073 366 .073110 .072 853 .072 597 0.072 341 .072 085 .071 829 •°7i 573 .071 316 0.071 060 .070 804 .070 548 .070 292 .070036 0.069 780 .069 525 .069 269 .069013 .068 757 0.068 501 .068 245 .067 990 .067 734 .067 478 0.067 222 .066 967 .066 711 .066455 .066 200 0.065 944 .065 689 •065 433 .065 178 .064 922 0064 667 .064411 .064 156 .063 900 .063 645 0.063 389 •063 134 .062 879 .062 623 .062 368 0.062 113 .061 858 .061 602 •061 347 .061 092 0.060 837 D. 1' Sin. D, 1' 49° dot, D. 1". Tan, LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 59 41° o 9.816943 I .8170S8 2 ■8i7 2 33 3 •817 379 4 .817524 5 9.817668 6 .817813 7 .817958 8 .818 103 9 .818247 lO 9.818392 ii .818536 12 .818681 1.3 .818825 H .818969 i5 9.819 113 ID .819257 17 .819401 iS .819545 19 .819 689 20 9.819832 21 .819976 22 .820 120 2.3 .820 263 24 .820 406 2S 9.820550 26 .820 693 27 .820 836 28 .820 979 29 .821 122 30 9.821 265 31 .821 407 32 .821 550 33 .821 693 34 .821 S35 35 9.821 977 36 .822 1 20 37 .822 262 38 .822 404 39 .822 546 40 9.822 688 4i .822 830 42 .822972 43 .823114 44 •823 255 45 9-823 397 46 •823 539 47 .823 680 48 .823 821 49 .823 963 5o 9.824 104 5i •824 245 52 .824 386 53 .824 527 54 .824 668 55 9.824 808 56 .824 949 57 .825 090 58 .825 230 59 •825 37i 60 9.825 511 Cos. D. 1' 2.42 2.42 2-43 2.42 2.40 2.42 2.42 2.42 2.40 2.42 2.40 2.42 2.40 2.40 2.40 2.40 2.40 2.40 2.40 2.38 2.40 2.40 2.38 2.38 2.40 2.38 2.38 2.38 2.38 2.38 2-37 2.38 2.38 2-37 2-37 2.38 2.37 2-37 2-37 2-37 2-37 2-37 2-37 2-35 2-37 2-37 2-35 2-35 2-37 2-35 2-35 2-35 2-35 2-35 2-33 2-35 2.35 2-33 2-35 2-33 D. 1". Cos. 9.877 780 .877 670 .877 560 .S77450 .877 340 9.877 230 .S77 120 .877010 .S76 899 .876 7S9 9.876678 .876568 .876457 .876347 .876 236 9.876125 .876014 .875 904 •875 793 .875 682 9-875 57I •875 459 .875 348 •875 237 .875 126 9.875014 .874 903 .874 791 .874 680 .874568 9.874456 •874 344 .874232 .S74121 .874 009 9.873 896 •873 784 .873 672 .873 5 6 ° .873 448 9-873 335 •873 223 .873110 .872 998 .872 885 9.872 772 •872659 •872 547 .872434 .872321 9.872 208 .872095 .871 981 .871 868 •871 755 9.871 641 .871 528 .871414 .871 301 .871 187 9.871073 D, 1" 87 Tan. D. 1", 48° 9-939163 .939418 •939 673 •939 928 .940 183 9.940 439 .940 694 .940 949 .941 204 .941 459 9941 713 .941 968 .942 223 •942 478 •942 733 9.942 988 •943 243 •943 498 •943 752 •944 007 9.944 262 .944517 .944771 .945 026 .945 281 9-945 535 •945 790 •946 045 •946 299 •946 554 9.946 808 •947 063 •947 3i8 •947 572 •947 827 9.948 081 •948 335 .948 590 ' .948 844 •949 099 9-949 353 .949 608 .949 862 .950 116 •95° 37 1 9.950 625 .950 879 ■95 1 !33 .951 388 .951 642 9.951 896 .952 150 .952 405 •952659 •952 913 9-953 167 •953 421 •953 675 •953 929 •954 183 9-954 437 Cot. D. 1" 4.25 4.25 4.25 4.25 4.27 4-25 4.25 4-25 4-25 4-23 4-25 4.25 4-25 4-25 4.25 4.25 4-25 4-23 4.25 4-25 4.25 4-23 4.25 4.25 4-23 4.25 4-25 4-23 4-25 4.23 4-25 4-25 4-23 4.25 423 423 4-25 4-23 4-25 4-23 4-25 4-23 4-23 4-25 4-23 4-23 4-23 4-25 4-23 4-23 4-23 4.25 4-23 4-23 4-23 4-23 4-23 4-23 4-23 4-23 D. 1", Cot. 0.060 837 .060 582 .060 32.7 .060 072 .059817 0.059 561 .059 306 .059051 .058 796 .058 541 0.058 287 .058 032 •057 777 •057 522 .057 267 0.057012 .056757 .056 502 .056 248 ■055 993 0.055 738 •055 483 .055 229 •054 974 .054719 0.054 465 .054 210 •°53 955 .053 701 .053 446 0.053 192 .052 937 .052 682 .052 428 .052173 0.051 919 .051 665 .051 410 .051 156 .050 901 0.050 647 .050 392 .050 138 .049 884 .049 629 0.049 375 .049 121 .048 867 .048 612 .048 358 0.048 104 .047 850 •047 595 .047 341 .047 087 0.046 8^3 .046 579 .046 325 .046071 .045817 Q-Q45 5 6 3 Tan. 60 LOGARITHMIC SINES, COSINES, TANGENTS, 42° AND COTANGENTS. o 9.825511 I .825651 2 .825 791 3 .825 931 4 .826071 5 9.826 211 6 .826351 7 .826491 8 .826631 9 .826 770 IO 9.826910 ii .827 049 12 .827 189 13 .827 328 14 .827 467 15 9.827 606 16 •827 745 17 .827 884 18 .828 023 19 .828 162 20 9.828 301 21 .828 439 22 .828 578 23 .828716 24 .828 855 25 9.828 993 26 .829131 27 .829 269 28 .829 407 29 .829 545 30 9.829 683 31 .829821 32 .829 959 33 .830 097 34 .830 234 35 9.830 372 36 .830 509 37 .830 646 38 .830 784 39 .830921 40 9.831 058 4i .831 195 42 .831 332 43 .831 469 44 .831 606 45 9.831 742 46 .831 879 47 .832015 48 .832 152 49 .832 288 50 9.832 425 5i .832 561 52 .832 697 53 •832 833 54 .832 969 55 9-833 105 56 .833 241 57 •833 377 58 .833512 59 .833 648 60 9-833 783 Cos. D. 1". 2-33 2-33 2-33 2.33 2-33 2-33 2-33 2-33 2.32 2-33 2.32 2-33 2.32 2.32 2.32 2.32 2.32 2.32 2.32 2.32 2.30 2.32 2.30 2.32 2.30 2.30 2.30 2.30 2.30 2.30 2.30 2.30 2.30 2.28 2.30 2.28 2.28 2.30 2.28 2.28 2.28 2.28 2.28 2.28 2.27 2.28 2.27 2.28 2.27 2.28 2.27 2.27 2.27 2.27 2.27 2.27 2.27 2.25 2.27 2.25 D. 1". Cos. 9.871 073 .870 960 .870 846 .870 732 .870618 9.870 504 .870 390 .870 276 .870161 .870 047 9-869 933 .869818 .869 704 •869 589 .869 474 9.869 360 .869 245 .869 130 .869015 .868 900 9.868 785 .868 670 •868 555 .868 440 .868 324 9.868 209 .868 093 .867 978 .867 862 •867 747 9.867 631 .867515 .867 399 .867 283 .867 167 9.867051 .866 935 .866819 .866 703 .866 586 9.866 470 .866 353 .866 237 .866120 .866 004 9.865 887 .865 770 .865 653 .865 536 .865419 9.865 302 .865 185 .865 068 .864 950 .864 833 9.864 716 .864 598 .864481 .864 363 .864 245 9.864 127 D. 1' 470 Tan, 9-954 437 •954 691 •954 946 .955 200 •955 454 9-955 7°8 .955961 ■956215 .956 469 .956 723 9.956977 •957 231 •957 485 •957 739 •957 993 9.958 247 •958 5°° •958 754 •959 °°8 .959 262 9.959516 •959 769 .960 023 .960 277 .960 530 9.960 784 .961 038 .961 292 .961 545 .961 799 9.962052 .962 306 .962 560 .962813 .963 067 9.963 320 •963 574 .963 828 .964081 •964 335 9.964 588 .964 842 .965 095 •965 349 .965 602 9-965 855 .966 109 .966 362 .966616 .966 869 9.967 123 •967 376 .967 629 .967 883 .968 136 9.968 389 .968 643 .968 896 .969 149 .969 403 9.969 656 Cot. D. 1". 4-23 4-25 4-23 4-23 4-23 4.22 4-23 4-23 4-23 4-23 4.23 4-23 4-23 4-23 4-23 4.22 4-23 4-23 4-23 4-23 4.22 4-23 4-23 4.22 4-23 4-23 4-23 4.22 4-23 4.22 4-23 4-23 4.22 4-23 4.22 4-23 4.23 4.22 4-23 4.22 4-23 4.22 4-23 4.22 4.22 4.23 4.22 4-23 4.22 4-23 4.22 4.22 4.23 4.22 4.22 4-23 4.22 4.22 4-23 4.22 D, 1". Cot, 0.045 563 .045 309 .045 054 .044 800 .044 546 0.044 292 .044 039 .043 785 •043 531 .043 277 0.043 023 .042 769 .042515 .042 261 .042 007 0.041 753 .041 500 .041 246 .040 992 .040 738 0.040 484 .040231 •039 977 •039 723 .039 470 0.039 216 .038 962 .038 708 •038455 .038 201 0.037 948 .037 694 .037 440 .037 1S7 •036 933 0.036 6S0 .036 426 .036 172 .035 9I9 .035 665 0.035412 •035 158 .034 905 .034651 •034 398 0.034 145 .033 S9 1 .033 638 .033 384 •033 131 0.032 877 .032 624 .032371 .032117 .031 864 0.031 611 •031 357 .031 104 .030851 .030 597 0.030 344 Tan. LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 61 43° 23 24 25 26 27 28 29 30 3i 32 33 34 35 36 37 38 39 40 4i 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Sin. 9-833 783 •833 919 .834 054 .834 189 •834 325 9.834 460 •834 595 •834 73o .834 865 •834 999 9-835 134 .835 269 •835 403 .835 538 .835 672 9.835 807 ■835 941 .836075 .836 209 •836 343 9-836 477 .836611 •836 745 .836 878 .837012 9.837 146 .837 279 .837412 .837 546 •837 679 9.837812 ■837 945 .838078 .838211 .838 344 9.838477 .838 610 .838 742 .838 875 .839 007 9.839 140 .839 272 .839 404 •839 536 .839 668 9.839 800 •839 932 .840 064 .840 196 .840 328 9.840 459 .840 591 .840 722 .840 854 .840 985 9.841 116 .841 247 .841 378 .841 509 .841 640 9-841 77i Cos. D. 1". 2.27 2.25 2.25 2.27 2.25 2.25 2.25 2.25 2.23 2.25 2.25 2.23 2.25 2.23 2.25 2.23 2.23 2.23 2.23 2.23 2.23 2.23 2.22 2.23 2.23 2.22 2.22 2.23 2.22 2.22 2.22 2.22 2.22 2.22 2.22 2.22 2.20 2.22 2.20 2.22 2.20 2.20 2.20 2.20 2.20 2.20 2.20 2.20 2.20 2.18 2.20 2.18 2.20 2.18 2.18 2.18 2.18 2.18 2.18 2.18 Cos. 9.864 127 .864010 .863 892 .863 774 .863 656 9.863 538 .863419 .863 301 .863 183 .863 064 9.862 946 .862 827 .862 709 .862 590 .862471 9-862 353 .862 234 .862115 .861 996 .861 877 9.861 758 .861 638 .861 519 .861 400 .861 280 9.861 161 .861 041 .860 922 .860 802 .860 682 9.860 562 .860 442 .860 322 .860 202 .860 082 9.859 962 .859 842 •859 721 .859 601 •859 480 9.859 360 •859 239 .859119 .858 998 .858 877 9.858 756 .858 635 .858514 •858 393 .858 272 9.858 151 .85S029 •857 908 •857 786 .857 665 9-857 543 .857422 .857 3°o •857 178 .857056 9.856934 D. 1' 1.95 1.97 1.97 1.97 1.97 ! 1-98 I x -97 i-97 I 1.98 ! i-97 1.98 ! 1-97 I 1.98 1.98 I 1-97 1.98 1.98 1-98 1.98 1.98 2.00 1.98 1.98 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.02 2.00 2.02 2.00 2.02 2.00 2.02 2.02 2.02 2.02 2.02 2.02 2.02 2.02 2.03 2.02 2.03 2.02 2.03 2.02 2.03 2.03 2.03 2.03 Tan. 9.969 656 .969 909 .970 162 .970416 - .970 669 9.970 922 .971 175 .971 429 .971 682 •97i 935 9.972 188 .972441 .972 695 .972 948 .973 201 9-973 454 •973 707 •973 960 •974 213 •974 466 9.974 720 •974 973 •975 226 •975 479 •975 732 9-975 985 .976 238 .976491 .976 744 .976 997 9.977 250 •977 5°3 •977 75 6 .97S 009 .978 262 9-978 5I5 .978 768 .979021 •979 274 •979 527 9.979 780 .980 033 .980 286 .980 538 .980 791 9.981 044 .981 297 .981 550 .981 803 .982056 9.982 309 .982 562 .982814 .983 067 •983 320 9-983 573 .983 826 .984079 •984 332 •984 584 9.984 837 D. 1" 4.22 4.22 4-23 4.22 4.22 4.22 4-23 4.22 4.22 4.22 4.22 4-23 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4-23 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.20 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.22 4.20 4.22 4.22 4.22 4.22 4.22 4.22 4.20 4.22 Cot. 0.030 344 .030091 .029 838 .029 584 .029 331 0.029 078 .028 S25 .028 571 .028318 .028065 0.027 812 •° 2 7 559 .027 305 .027052 .026 799 0.026 546 .026 293 .026 040 .025 787 •025 534 0.025 280 .025 027 .024 774 .024521 .024 268 0.024015 .023 762 .023 509 .023 256 •023 003 0.022 750 .022 497 .022 244 .021 991 .021 738 0.021 485 .021 232 .020 979 .020 726 .020 473 0.020 220 .019967 .019714 .019462 .019 209 0.018956 .018 703 .018450 .018 197 .017944 0.017 691 .017438 .017 186 •016933 .016680 0.016427 .016 174 .015 921 .015 668 .015 416 0.015 x ^3 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 4i 40 39 38 37 36 35 34 33 32 3i 30 29 28 27 26 25 24 23 D. 1". Sin. D. 1" 46^ Cot. D. 1" Tan. 62 LOGARITHMIC SINES, COSINES, TANGENTS, 44° AND COTANGENTS. M. Sin. D. 1". Cos. D. 1". Tan. D. 1". Cot. o 9.841 771 2.18 9.856 934 2.03 9.984 837 4.22 0.015 1 ^3 60 i .841 902 2.18 .856812 .985 090 .014910 59 2 .842 033 .856 690 2.03 2.03 2.03 2.05 •985 343 4.22 .014657 58 3 .842 163 2.17 2.18 2.17 2.18 .856 568 .985 596 4.22 4.20 4.22 4.22 .014404 57 4 .842 294 .856446 .985 848 .014152 56 5 9.842 424 9-856323 9.986 101 0.013899 55 6 •842 555 .856 201 2.03 2.05 •986 354 .013 646 54* 7 .842 685 2.17 .856078 .986 607 4.22 •OI3 393 53 8 .842815 2.17 2.18 2.17 2.17 •855 95 6 2.03 2.05 2.03 .986 860 4.22 .013 140 52 9 .842 946 •855 833 .987 112 4.22 .012888 5i IO 9.843076 9-855 7" 2.05 9.9S7 365 .987 618 0.012635 50 ii .843 206 .855 588 4.22 .012 382 49 12 •843 336 2.17 •855 465 2.05 2.05 2.05 2.05 2.05 2.05 2.05 2.07 2.05 2.07 2.05 2.07 2.05 2.07 2.07 .987871 4.22 .012 129 48 13 .843 466 2.17 •855 342 .988 123 4.20 .011877 47 14 •843 595 2.15 2.17 •855219 .988 376 4.22 4.22 .011 624 46 15 9-843 725 9.855 096 9.988 629 0.011 371 45 16 .843 855 2.17 •854 973 .988 882 4.22 .011 118 44 17 .843 984 2.15 .854 850 .989 134 4.20 .010 866 43 18 .844 114 2.17 2.15 2.15 .854727 .989 387 4.22 .010613 42 19 .844 243 •854 603 .989 640 4.22 4.22 .010360 4i 20 9.844 372 9.854 480 9.989 893 0.010 107 40 21 .844 502 2.17 2.15 2.15 2.15 2.15 2.15 .854356 .990 145 4.20 .009 855 39 22 .844631 •854 233 .990 398 4.22 4.22 .009 602 38 23 .844 760 .854 109 .990651 .009 349 37 24 .844 889 .853 986 .990 903 4.22 .009 097 36 25 9.845 018 9.853 862 9.991 156 0.008 844 35 26 •845 J 47 •853 738 .991 409 4.22 .008 591 34 27 .845 276 2.15 .853614 2.07 2.07 2.07 2.07 2.07 2.07 2.08 2.07 2.08 .991 662 4.22 4.20 4.22 4.22 4.20 4.22 4.22 4.22 4.20 .008 338 33 28 .845 405 2.15 .853 490 .991 914 .008 086 32 29 •845 533 2.13 2-15 2-13 2.15 •853 366 .992 167 .007 833 3i 30 9.845 662 9.853 242 9.992 420 0.007 580 30 31 32 •845 79o .845919 .853118 .852 994 .992 672 .992 925 .007 328 .007 075 29 28 33 .846 047 2 - 1 3 2.13 2.15 .852 869 •993 178 .006 822 27 34 .846175 .852 745 •993 431 .006 569 26 35 9.846 304 9.852 620 2.07 2.08 9-993 683 4.22 4.22 4.20 4.22 4.22 0.006 317 25 36 •846 432 2.13 2.13 2.13 .852 496 •993 936 .006 064 24 37 .846 560 .852371 2.07 2.08 2.08 •994 189 .005 811 23 38 .846 688 .852 247 •994 44i .005 559 22 39 .846816 2.13 2.13 .852 122 •994 694 .005 306 21 40 9.846 944 9.851 997 2.08 9.994 947 4.20 4.22 4.22 4.20 4.22 0.005 053 20 4i .847071 2.13 2.13 2.12 2.13 .851 872 2.08 •995 J 99 .004801 19 42 .847 199 .851 747 2.08 ■995 452 .004 548 18 43 44 .847 327 •847 454 .851 622 .851 497 2.08 2.0S •995 7°5 •995 957 .004 295 .004 043 17 16 45 9.847 582 9.851 372 2.IO 2.08 2.08 9.996 210 4.22 4.20 0.003 790 15 46 .847 709 2.12 .851 246 .996 463 •003 537 14 47 .847 836 2.13 .851 121 .996715 .003 285 13 48 .847 964 .850 996 .996 968 4.22 4.22 4.20 •003 032 12 49 .848091 2.12 .850870 2^08 .997 221 .002 779 n 5° 9.848218 9.850 745 2.10 9-997 473 4.22 4.22 4.20 0.002 527 10 5i .848 345 2 12 .850 619 •997 7 26 .002 274 9 52 .848 472 ' .850 493 2.0S •997 979 .002021 8 53 .848 599 2.12 2.10 .850 368 2.10 2.10 .998231 .001 769 7 54 .848 726 .850 242 .998 484 4.22 4.22 .001 516 6 55 9.848 852 2.12 9.850 1 16 2.10 9-998 737 0.001 263 5 56 •848 979 •849 990 •998 989 4- .001 on 4 57 .849 106 2.12 .849 864 2.10 •999 242 4.22 .000 758 3 58 ■849 232 2.10 .849 738 2.10 •999 495 4.22 4.20 4.22 .000 505 2 59 •849 359 2.10 .849 611 2.10 •999 747 .000253 1 60 9.849 485 9.849 485 0.000 000 0.000000 Cos. D. 1". Sin. D. 1". Cot. D. 1". Tan. M, 45° A TABLE NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS, FOR EVERY DEGREE AND MINUTE FROM 0° TO 90°. 64 NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 0° 1° 2° M, Sin. Cos. Tan. Cot, Sin. Cos. Tan. Cot, Sin, Cos. Tan. Cot. o .00000 1. 0000 .00000 00 .01745 .99985 .0174657.290 •03490 -99939 -03492 28.636 60 i 029 000 029 3437.7 774 984 775 56-35I 519 938 521 -399 59 2 058 000 058 1 718.9 087 000 087 1 145.9 803 984 804 55.442 548 937 55° -i66 58 3 832 983 833 54.561 577 936 579 27.937 57 4 116 000 116 S59.44 862 983 862 53.709 6°6 935 609 .712 56 5 .00145 i.oooo .00145 687.55 .01891 .99982 .01891 52.882 •03635 -99934 -03638 27.490 55 6 175 000 175 572.96 920 982 920 .081 664 933 667 .271 54 7 204 000 204 491. 1 1 949 981 949 5I-303 693 932 696 .057 53 8 233 000 233 429.72 978 980 978 50.549 723 93i 725 26.845 52 9 262 000 262 381.97 .02007 980 .02007 49-8 1 6 752 930 754 .637 5i IO .00291 1.0000 .00291 343.77 .02036 .99979 .02036 49.104 •03781 .99929 -03783 26.432 50 ii 320.99999 320312.52 065 979 06648.412 810 927 812 .230 49 12 349 999 349 286.48 094 978 095 47.740 839 926 842 .031 48 13 378 999 378 264.44 123 977 124 .085 868 925 871 25.835 47 14 407 999 407 245.55 x 52 977 153 46.449 897 924 900 .642 46 15 .00436 .99999 .00436 229.18 .02181 .99976 .02182 45.829 .03926 .99923 .03929 25.452 45 16 465 999 465 214.86 211 976 211 .226 955 922 958 .264 44 17 495 999 495 2 ° 2 -22 240 975 240 44.639 984 921 987 .080 43 18 524 999 524 190.98 269 974 269 .066 .04013 919 .04016 24.898 42 19 553 998 553 180.93 298 974 298 43.508 042 918 046 .719 41 20 .00582 .99998 .00582 171.89 .02327 .99973 .02328 42.964 .04071 .99917 .04075 24.542 40 21 611 998 611 163.70 356 972 357 -433 100 916 104 .368 39 22 640 998 640 156.26 385 972 38641-916 129 915 *33 -196 38 23 669 998 669 149.47 414 971 415 .411 159 913 162 .026 37 24 698 998 698 143.24 443 97° 444 40.9I7 188 912 191 23.859 36 25 .00727 .99997 .00727 137.51 •02472 .99969 -02473 40.436 .04217 .99911 .04220 23.695 35 26 75 6 997 756 132.22 501 969 502 39.965 246 910 250 .532 34 27 785 997 785 1 27.-32 530 968 531 .506 275 909 279 .372 33 28 814 997 815 122.77 560 967 560 .057 304 907 308 .214 32 29 844 996 844118.54 589 966 589 38.618 333 906 337 -05s 3i 30 •00873.99996.00873 114.59 .02618. .99966 .02619 38.188 .04362 .99905 .04366 22.904 30 31 902 996 902 110.89 647 965 648 37.769 391 904 395 .752 29 32 931 996 931 107.43 676 964 677 .358 420 902 424 .602 28 33 960 995 960 104.17 705 963 706 36.956 449 901 454 -454 27 34 989 995 989 10 1. 1 1 734 963 735 -563 478 900 483 .308 26 35 .01018 .99995 .01018 98.218 .02763 .99962 .02764 36.178 .04507 .99898 .04512 22.164 25 36 047 995 047 95.489 792 961 793 35.801 536 897 541 .022 24 37 076 994 076 92.908 821 960 822 .431 565 896 570 21.S81 23 38 105 994 105 90.463 850 959 851 .070 594 894 599 .743 22 39 134 994 135 88.144 879 959 881 34.715 623 893 628 .606 21 40 .01164 -99993 01 164 85.940 .02908 .99958 .02910 34.368 .04653 .99S92 .04658 21.470 20 4i 193 993 193 83.844 938 957 939 -027 682 890 687 .337 19 42 222 993 222 81.847 967 956 968 33.694 711 889 716 .205 18 43 251 992 251 79.943 996 955 997 -366 740 888 745 .075 17 44 280 992 280 78.126 •03025 954 .03026 .045 769 886 774 20.946 16 45 .01309 .99991 .01309 76.390 •03054 -99953 -03055 32.730 083 952 084 .421 .04798 .99885 .04803 20.819 15 46 338 991 338 74729 827 883 833 .693 14 47 367 991 367 73.139 112 952 114 .118 856 882 862 .569 13 48 396 990 396 71.615 141 95 1 *43 31-821 885 881 891 .446 12 49 425 990 425 70.153 170 950 172 .528 914 879 920 .325 11 50 •OI454 -99989 -OI455 68.750 •03199 -99949 -03201 31.242 .04943 .99S78 .04949 20.206 10 5i 483 989 484 67.402 228 948 230 30.960 972 876 978 .087 9 52 5*3 989 5'3 66.105 257 947 259 .683 .05001 875 .05007 19.970 8 53 542 988 542 64.858 286 946 288 .412 030 873 037 .855 7 54 571 988 571 63.657 3i6 945 317 .145 059 872 066 .740 6 55 .01600 .99987 .01600 62.499 •03345 -99944 -03346 29.882 .05088 .99870 .05095 19.627 5 56 629 987 629 61.383 374 943 376 -624 117 869 124 .516 4 57 658 986 658 60.306 403 942 405 -371 146 867 153 .405 3 58 687 986 687 59.266 432 941 434 -122 175 866 182 .296 2 59 716 985 716 58.261 461 940 463 28.877 205 864 212 .188 I 60 •01745 -99985 .0174657.290 •03490 -99939 -03492 28.636 .05234 .99863 .05241 19.0S1 O Cob. Sin. Cot. Tan. Cos. Sin. Cot. Tan. Cos. Sin. Cot. Tan, M. 89 88° 87 c NATURAL SINES, COSINES, TANGENTS, 3° 4° AND COTANGENTS. 5° 65 M. Sin, Cos. Tan. Cot. Sin, Cos. Tan, Cot. Sin. Cos. Tan. Cot, 60 .05234 .99863 .05241 19.081 .06976 .99756 .06993 !4-3 01 .08716 .99619 .08749 n.430 i 263 861 270 18.976 .07005 754 .07022 .241 745 617 778 .392 59 2 292 860 299 .871 034 752 051 .182 774 614 807 .354 58 3 321 858 328 .768 063 750 080 .124 803 612 837 .316 57 4 35° 8 57 357 -666 092 748 no .065 831 609 8b6 .279 56 5 •05379 -99855 -05387 18.564 .07121 .99746 .07139 14.008 .08860 .99607 .08895 "-242 55 6 408 854 416 .464 150 744 168 13.951 889 604 925 .205 54 7 437 852 445 .366 179 742 197 .894 918 602 954 .168 53 8 466 851 474 .268 208 740 227 .838 947 599 983 - J 32 52 9 495 8 49 5°3 -!7i 237 738 256 .782 976 596 .09013 .095 5i IO .05524 .99847 .05533 18.075 .07266 .99736 .07285 13.727 .09005 .99594 -09042 11.059 50 ii 553 846 562 17.9S0 295 734 3H -672 034 59i 071 .024 49 12 582 844 591 .886 324 731 344 .617 063 588 101 10.9S8 48 13 611 842 620 .793 353 729 373 -563 092 586 130 .953 47 14 640 841 649 .702 382 727 402 .510 121 583 159 .918 46 15 .05669 .99839 .05678 1 7.61 1 .07411 .99725 .07431 13.457 .09150 .99580 .09189 10.883 45 16 698 838 708 .521 440 723 461 .404 179 578 218 .848 44 17 727 836 737 .431 469 721 490 .352 208 575 247 .814 43 18 756 834 766 .343 498 719 519 .300 237 572 277 .780 42 19 785 833 795 .256 527 716 548 .248 266 570 306 .746 4i 20 .05814 .99831 .05824 17.169 •07556 -997H -07578 13-197 •09295 -99567 -09335 IO -7 12 40 21 844 829 854 .084 585 712 607 .146 324 564 365 .678 39 22 873 827 883 16.999 614 710 636 .096 353 562 394 -645 38 23 902 826 912 .915 643 708 665 .046 382 559 423 .612 37 24 931 824 941 .832 672 705 695 12.996 4" 556 453 -579 36 25 .05960 .99822 .05970 16.750 .07701 .99703 .07724 12.947 .09440 .99553 .09482 10.546 35 26 989 821 999 .668 73o 7 QI 753 -898 469 55 1 5" -5'4 34 27 .06018 819 .06029 -587 759 699 782 .850 498 548 54i -481 33 28 047 817 058 .507 788 696 812 .801 527 545 570 -449 32 29 076 815 087 .428 817 694 841 .754 556 542 600 .417 31 30 .06105 .99813 .06116 16.350 .07846 .99692 .07870 12.706 .09585 .99540 .09629 10.385 30 31 134 812 145 .272 875 689 899 .659 614 537 658 .354 29 32 163 810 175 .195 904 687 929 .612 642 534 688 .322 28 33 192 808 204 .119 933 685 958 .566 671 53i 7 J 7 -291 27 34 221 806 233 .043 962 683 987 .520 700 528 746 .260 26 35 .06250 .99804 .06262 15.969 .07991 .99680 .08017 12.474 .09729 .99526 .09776 10.229 25 36 279 803 291 .895 .08020 678 046 .429 758 5 2 3 805 .199 24 37 308 801 321 .821 049 676 075 .384 787 520 834 .168 23 38 337 799 35° -748 078 673 104 .339 816 517 864 .138 22 39 366 797 379 .676 107 671 134 .295 845 5*4 893 .108 21 40 .06395 .99795 .06408 15.605 .08136 .99668 .08163 12.251 .09874 .995" .09923 10.078 20 4i 424 793 438 .534 165 666 192 .207 903 508 952 .048 19 42 453 792 467 464 194 664 221 .163 932 506 981 .019 18 43 482 790 496 .394 223 661 251 .120 252 659 280 .077 961 503 .10011 9.9893 17 44 511 788 525 .325 990 500 040 .9601 16 45 .06540 .99786 .06554 15.257 .08281 .99657 .08309 12.035 .10019 .99497 .10069 9-93 10 15 46 569 784 584 .189 310 654 339 11.992 048 494 099 .9021 14 47 598 782 613 .122 339 652 368 .950 077 491 128 .8734 13 48 627 780 642 .056 368 649 397 .909 106 488 158 .8448 12 49 656 778 671 14.990 397 647 427 .867 135 485 187 .8164 11 50 .06685 -9977 6 -06700 14.924 .08426 .99644 .08456 11.826 .10164 .99482 .10216 9.7882 10 5i 714 774 730 .860 455 642 485 .785 192 479 246 .7601 9 52 743 772 759 -795 484 639 514 .745 221 476 275 .7322 8 53 773 77° 788 .732 513 637 544 .705 250 473 305 -7°44 7 54 802 768 817 .669 542 635 573 .664 279 470 334 -6768 6 55 .06831 .99766 .06847 H- 606 .08571 .99632 .08602 11.625 .10308 .99467 .10363 9.6493 5 56 860 764 876 .544 600 630 632 .585 337 464 393 -6220 4 57 889 762 905 .482 629 627 661 .546 366 461 422 .5949 3 58 918 760 934 .421 658 625 690 .507 395 458 45 2 -5679 2 59 947 758 963 -361 687 622 720 .468 424 455 48i -54" 1 60 .06976 .99756 .06993 I4-3 01 .08716 .99619 .08749 n.430 • 10453-99452.105109.51441 J Cos. Sin, Cot. Tan, Cos. Sin. Cot, Tan. Cos. Sin. Cot. Tan. | M. 86° 85 c 84 c 66 NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 6° 70 8° M. Sin. Cos. Tan. Cot. Sin. Cos. Tan. Cot. Sin. Cos. Tan. Cot. o .10453 .99452 .10510 9.5144 .12187 .99255 .12278 8.1443 .13917.99027 .14054 7.1 154 60 i 482 449 540 .4878 216 251 308 .1248 946 023 084 .1004 59 2 511 446 569 .4614 245 248 338 .1054 975 OI 9 "3 -0855 58 3 540 443 599 435 2 274 244 367 .0860 .14004 015 143 .0706 57 4 569 440 628 .4090 302 240 397 .0667 033 on 173 .0558 56 5 .10597 .99437 .10657 9.3831 .12331 .99237 .12426 8.0476 .14061 .99006 .14202 7.0410 55 6 626 434 687 .3572 360 233 456 .0285 389 230 485 .0095 090 002 232 .0264 54 7 655 43i 7 l6 -3315 119 .98998 262 .0117 53 8 684 428 746 .3060 418 226 515 7.9906 148 994 291 6.9972 52 9 713 424 775 .2806 447 222 544 .9718 177 990 321 .9827 51 IO .10742 .99421 .10805 9-2553 .12476 .99219 .12574 7.9530 .14205 .98986 -14351 6.9682 50 ii 771 418 834 .2302 504 215 603 .9344 234 982 381 .9538 49 12 800 415 863 .2052 533 211 633 .9158 263 978 410 .9395 48 13 829 412 893 .1803 562 208 662 .8973 292 973 440 .9252 47 14 858 409 922 .1555 591 204 692 .8789 320 969 470 .9110 46 15 .10887 -99406 .10952 9.1309 .12620 .99200 .12722 7.8606 •14349 -98965 -14499 6.8969 45 16 916 402 981 .1065 649 197 751 .8424 378 961 529 .8828 44 17 945 399 -uoi 1 .0821 678 193 781 .8243 407 957 559 -8687 43 18 973 396 040 .0579 706 189 810 .8062 436 953 588 .8548 42 19 .11002 393 070 .0338 735 186 840 .7882 464 948 618 .8408 4i 20 .11031 .99390 .11099 9.0098 .12764 .99182 .12869 7.7704 .14493 98944 .14648 6.8269 40 21 060 386 128 8.9860 793 178 899 .7525 522 940 678 .8131 39 22 089 383 158 .9623 822 175 929 .7348 55 1 936 7°7 -7994 38 23 118 380 187 .9387 851 171 958 •7 I 7 I 580 931 737 -7856 37 24 147 377 2I 7 -9152 880 167 988 .6996 608 927 767 .7720 36 25 .11176 .99374 .11246 8.8919 .12908 .99163 .13017 7.6821 .14637 .98923 .14796 6.7584 35 26 205 370 276 .8686 937 l6 ° °47 -6647 666 919 826 .7448 34 27 234 367 3°5 -8455 966 156 076 .6473 695 914 856 .7313 33 28 263 364 335 .8225 995 152 106 .6301 723 910 886 .7179 32 29 291 360 364 .7996 .13024 148 136 .6129 752 906 915 .7045 3i 30 .11320.99357 .113948.7769 • 13053 -99H4 -13165 7.5958 .14781 .98902 .14945 6.6912 30 31 349 354 423 -7542 081 141 195 .5787 810 897 975 .6779 29 32 378 351 452 .7317 no 137 224 .5618 838 893 .15005 .6646 28 33 407 347 482 .7093 139 133 254 .5449 867 889 034 .6514 27 34 436 344 511 .6870 168 129 284 .5281 896 884 064 .6383 26 35 .11465 .99341 .11541 8.6648 .13197 .99125 .133137.5113 .14925 .98880 .15094 6.6252 25 36 494 337 57° - 6 427 226 122 343 .4947 954 876 124 .6122 24 37 523 334 600 .6208 254 118 372 .4781 982 871 153 .5992 23 38 552 33* 629 .5989 283 114 402 .4615 .15011 867 183 .5863 22 39 580 327 659 .5772 312 no 432 .4451 040 863 213 .5734 21 40 .11609.99324.116888.5555 .13341 .99106 .13461 7.4287 .15069 .98858 .15243 6.5606 20 4i 638 320 718 .5340 370 102 491 .4124 097 854 272 .5478 19 42 667 317 747 -5 126 399 098 521 .3962 126 849 302 .5350 18 43 696 3H 777 4913 427 094 559 .3800 155 845 332 .5223 17 44 725 310 806 .4701 456 091 580 .3639 184 841 362 .5097 16 45 .11754 -993°7 -"836 8.4490 .13485 .99087 .13609 7.3479 .15212 .98836 .15391 6.4971 15 46 783 303 865 .42S0 514 083 639 .3319 241 832 421 .4846 14 47 812 300 895 .4071 543 079 669 .3160 270 827 451 .4721 13 48 840 297 924 .3863 572 075 698 .3002 299 823 481 .4596 12 49 869 293 954 .3656 600 071 728 .2844 327 818 511 .4472 n 50 .11898 .99290.119838.3450 .13629 .99067 .13758 7.2687 .15356.98814.155406.4348 10 5i 927 286 .12013 .3245 658 063 787 .2531 687 059 817 .2375 385 809 570 .4225 9 52 956 283 042 .3041 414 805 600 .4103 8 53 985 279 072 .2838 716 055 846 .2220 442 800 630 .3980 7 54 .12014 276 101 .2636 744 051 876 .2066 471 796 660 .3859 6 55 .12043 -99272 .12131 8.2434 •13773 -99047 -13906 7-1912 .15500 .98791 .15689 6.3737 5 56 071 269 160 .2234 802 043 935 .1759 529 787 719 -3617 4 57 100 265 190 .2035 831 039 965 .1607 557 782 749 -3496 3 58 129 262 219 .1837 860 035 995 .1455 586 778 779 -3376 2 59 158 258 249 .1640 889 031 .14024 .1304 615 773 809 .3257 1 60 .12187 .99255 -12278 8.1443 .13917 .99027.140547.1154 .15643 .98769 .15838 6.313S Cos. Ski. Got. Tan. Cos. Sin. Cot. Tan. Cos. Sin. Cot. Tan. M. 83 82° 81° NATURAL SINES, COSINES, TANGENTS, A.ND COTANGENTS. 67 9° 10° 11° M. o Sin, Cos. Tan, Cot, Sin. Cos. Tan. Cot. Sin. Cos. Tan. Cot, 60 .15643 .98769 .15838 6.3138 .17365 .98481 .17633 5.6713 .19081 .98163 .19438 5.1446 i 672 764 868 .3019 393 476 663 .6617 109 157 468 .1366 59 2 701 760 898 .2901 422 471 693 .6521 138 152 498 .1286 58 3 73° 755 928 .2783 451 466 723 .6425 167 146 529 .1207 57 4 758 75 l 95 8 • 266 ° 479 46i 753 -6329 195 140 559 .1128 56 5 .15787 .98746 .15988 6.2549 .17508.98455 .177835.6234 .19224 .98135 .19589 5- l °49 55 6 816 741 .16017 .2432 537 450 813 .6140 252 129 619 .0970 54 7 845 737 °47 -2316 565 445 843 .6045 281 124 649 .0892 53 8 873 732 077 .2200 594 440 873 .5951 309 118 680 .0814 52 9 902 728 107 .2085 623 435 903 -5857 338 112 710 .0736 51 10 •I593I -98723 .161376.1970 .17651 .98430 .17933 5-57 6 4 680 425 963 .5671 .19366 .98107 .19740 5.0658 50 ii 959 718 l6 7 -i85 6 395 101 770 .0581 49 12 988 714 196 .1742 708 420 993 .5578 423 096 801 .0504 48 13 .16017 709 226 .1628 737 414.18023 .5485 452 090 831 .0427 47 14 046 704 256 .1515 766 409 053 .5393 481 084 861 .0350 46 15 .16074 .98700 .16286 6.1402 .17794 .98404 .18083 5.5301 .19509 .98079 .19891 5.0273 45 16 i°3 695 3 l6 - I2 90 823 399 "3 -5209 538 073 921 .0197 44 *7 132 690 346 .1178 852 394 143 -5"8 566 067 952 .0121 43 18 160 686 376 .1066 880 389 173 .5026 595 061 982 .0045 42 19 189 681 405 .0955 909 383 203 .4936 623 056 .20012 4.9969 41 20 .16218 .98676 .16435 6.0844 ■ 17937 -98378 .18233 5.4845 .19652 .9S050 .20042 4.9894 40 21 246 671 465 .0734 966 373 263 .4755 680 044 073 .9819 39 22 275 667 495 .0624 995 368 293 .4665 709 039 103 .9744 38 23 304 662 525 .0514 .18023 362 323 .4575 737 °33 133 -9669 37 24 333 657 555 .0405 052 357 353 -4486 766 027 164 .9594 36 25 .16361 .98652 .16585 6.0296 .18081 .98352 .18384 5.4397 .19794.98021 .201944.9520 35 26 390 648 615 .0188 109 347 4H -43°8 823 016 224 .9446 34 27 419 643 645 .0080 138 341 444 4219 851 010 254 .9372 33 28 447 6 38 674 5.9972 166 336 474 .4131 880 004 285 .9298 32 29 476 633 704 .9865 195 33* 5°4 4043 908.97998 3 ! 5 -9225 31 3° .16505 .98629 .16734 5.9758 .18224 .98325 .18534 5-3955 •19937 -97992 .20345 4-9152 30 3i 533 624 764 .9651 252 320 564 .3S68 965 987 376 .9078 29 32 562 619 794 .9545 281 315 594 -3781 994 981 406 .9006 28 33 591 614 824 .9439 309 310 624 .3694 .20022 975 436 .8933 27 34 620 609 854 .9333 33S 304 654 .3607 051 969 466 .8860 26 35 .16648 .98604 .16884 5-9228 .18367 .98299 .18684 5.3521 .20079 .97963 .20497 4.87S8 25 36 677 600 914 .9124 395 294 714 .3435 108 958 527 .8716 24 37 7°6 595 944 -9019 424 288 745 -3349 136 952 557 -8644 23 38 734 590 974 -8915 452 283 775 .3263 165 946 588 .8573 22 39 763 585 .17004 .8811 481 277 805 .3178 193 940 618 .8501 21 40 .16792 .98580.17033 5.8708 .18509 .98272 .18S35 5.3093 .20222 .97934 .20648 4.8430 20 4i 820 575 063 .8605 538 267 865 .3008 250 928 679 .8359 19 42 849 570 093 .8502 567 261 S95 .2924 279 922 709 .8288 18 43 878 565 123 .8400 595 256 925 .2839 307 916 739 .8218 17 44 906 561 153 .8298 624 250 955 .2755 336 910 770 .8147 16 45 •16935 -98556 -i7 l8 3 5-8i97 .18652 .98245 .18986 5.2672 .20364 .97905 .20800 4.8077 15 46 964 55 1 213 .8095 681 240 .19016 .2588 393 899 830 .8007 14 47 992 546 243 .7994 710 234 046 .2505 421 893 861 .7937 13 48 .17021 541 273 .7894 738 229 076 .2422 450 887 891 .7867 12 49 050 536 303 .7794 767 223 106 .2339 478 881 921 .7798 11 50 .17078.98531 .17333 5.7694 .18795 .98218.191365.2257 .20507 .97875 .20952 4-7729 10 5i 107 526 363 .7594 824 212 166 .2174 535 86 9 982 .7659 9 52 136 521 393 -7495 852 207 197 .2092 881 201 227 .2011 563 863.21013 .7591 8 53 164 516 423 .7396 592 857 043 .7522 7 54 193 5 11 453 -7297 910 196 257 .1929 620 851 073 .7453 6 55 .17222 .98506 .17483 5.7199 .1S938 .98190 .19287 5.1848 .20649.97845 .211044.7385 5 56 250 5 QI 5'3 -7 101 967 185 317 .1767 677 839 134 .7317 4 57 279 496 543 .7004 995 179 347 -1686 706 833 164 .7249 3 58 308 491 573 .6906 .19024 174 378 .1606 734 827 195 -7 1 ^ 1 2 59 336 486 603 .6809 052 168 408 .1526 763 821 225 .7114 1 60 .17365 .98481 .176335-6713 .19081 .98163 .19438 5.1446 .20791 .97815 .21256 4.7046 Cos, Sin. Cot, Tan. Cos, Sin. Cot, Tan. Cos. Sin, Cot. Tan. M, 8CP 79 78o 68 NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 12° 13° 14° M. Sin. Cos. Tan. Cot. Sin. Cos. Tan, Cot. Sin, Cos. Tan. Cot. o .20791 .97815 .212564.7046 .22495 .97437 .23087 4.3315 .24192 .97030 .24933 4-0108 60 i 820 809 286 .6979 523 430 "7 3257 220 023 964 .0058 59 2 848 803 316 .6912 552 424 148 .3200 249 015 995 .0009 58 3 877 797 347 -6845 580 417 179 .3143 277 008 .25026 39959 57 4 905 79i 377 -6779 608 411 209 .3086 305 001 056 .9910 56 5 •20933 -97784 .21408 4.6712 .22637 -97404 -23240 4-3029 •24333 -96994 -25087 3.9861 55 6 962 778 438 .6646 665 398 271 .2972 362 987 118 .9812 54 7 990 772 469 .6580 693 39i 3 QI -2916 390 980 149 .9763 53 8 .21019 766 499 .6514 722 384 332 .2859 418 973 180 .9714 52 9 047 760 529 .6448 75° 378 363 -2803 446 966 211 .9665 5i IO .21076 .97754 .21560 4.6382 •22778 .97371 -23393 4.2747 .24474 .96959 .252423.9617 50 ii 104 748 590 .6317 807 365 424 -2691 835 358 455 -2635 503 952 273 .9568 49 12 132 742 621 .6252 531 945 304 .9520 48 13 161 735 651 .6187 863 351 485 .2580 559 937 335 -947* 47 14 189 729 682 .6122 892 345 5 l6 -2524 587 93o 366 .9423 46 15 .21218 .977 2 3 .217124.6057 .22920 .97338 .23547 4.2468 .24615 .96923 .25397 3.9375 45 16 246 717 743 .5993 948 33* 578 -2413 644 916 428 .9327 44 17 275 7" 773 -5928 977 325 608 .2358 672 909 459 .9279 43 18 303 705 804 .5864 .23005 318 639 .2303 700 902 490 .9232 42 19 331 698 834 .5800 033 3" 670 .2248 728 894 521 .9184 41 20 .21360 .97692 .21864 4-5736 ■23062 .97304 .23700 4.2193 .24756 .96887 .25552 3.9136 40 21 388 686 895 -5673 090 298 731 .2139 784 880 583 .9089 39 22 417 680 925 .5609 118 291 762 .2084 813 873 614 .9042 38 23 445 673 956 .5546 146 284 793 .2030 841 866 645 .8995 37 24 474 667 986 .5483 175 278 823 .1976 869 858 676 .8947 36 25 .21502 .97661 .22017 4-5420 .23203.97271 .238544.1922 .24897 .96851 .25707 3.8900 35 26 530 655 047 .5357 231 264 885 .1868 925 844 738 .S854 34 27 559 648 078 .5294 260 257 916 .1814 954 837 769 .8S07 33 28 587 642 108 .5232 288 251 946 .1760 982 829 800 .8760 32 29 616 636 139 .5169 316 244 977 .1706 .25010 822 831 .8714 3i 30 .21644 .97630 .22169 4-5 IQ 7 •23345 -97237 -24008 4.1653 .25038 .96815 .25862 3.8667 30 31 672 623 200 .5045 373 230 039 .1600 066 807 893 .8621 29 32 701 617 231 .4983 401 223 069 .1547 094 800 924 .8575 28 33 729 611 261 .4922 429 217 100 .1493 122 793 955 .8528 27 34 758 604 292 .4860 458 210 131 .1441 151 786 986 .8482 26 35 .21786.97598.223224.4799 .23486 .97203 .24162 4.1388 .25179 .96778 .26017 3-8436 25 36 814 592 353 -4737 514 196 193 .1335 207 771 048 .8391 24 37 843 585 383 -4676 542 189 223 .1282 235 764 079 .8345 23 38 871 579 414 4615 571 182 254 .1230 263 756 no .8299 22 39 899 573 444 -4555 599 176 285 .1178 291 749 141 .8254 21 40 .21928 .97566 .22475 4-4494 .23627 .97169 .24316 4.1 126 .25320 .96742 .26172 3.8208 20 4i 956 560 505 .4434 656 162 347 .1074 684 155 377 -I022 348 734 203 .8163 19 42 985 553 536 -4373 376 727 235 .8118 18 43 •22013 547 5 6 7 4313 712 148 408 .0970 404 719 266 8073 17 44 041 54i 597 4253 740 141 439 .0918 432 712 297 .802S 16 45 .22070 .97534 .22628 4.4194 .23769.97134.244704.0867 .25460 .96705 .26328 3.7983 15 46 098 528 658 .4134 126 521 689 .4075 797 127 501 .0815 488 697 359 .7938 14 47 825 120 532 .0764 516 690 390 .7893 13 48 '55 5*5 7'9 4015 853 "3 5 62 -0713 545 682 421 .7848 12 49 183 508 750 .3956 882 106 593 .0662 573 675 452 .7804 n 50 .22212 .97502 .22781 4.3897 .23910 .97100 .24624 4.061 1 .25601 .96667 .26483 3.7760 10 5i 240 496 811 .3838 938 093 655 .0560 629 660 515 .7715 9 52 268 489 842 .3779 966 086 686 .0509 657 653 546 .7671 685 645 577 .7627 8 53 297 483 872 .3721 995 °79 7'7 -°459 7 54 325 476 903 .3662 .24023 072 747 .0408 713 638 608 .7583 6 55 •22353 -97470 .22934 4.3604 382 463 964 .3546 .24051 .97065 .247784-0358 .25741 .96630 .26639 3-7539 5 56 079 058 809 .0308 769 623 670 .7495 4 57 4io 457 995 -3488 108 051 840 .0257 798 615 701 .7451 3 58 438 450 .23026 .3430 136 044 871 .0207 826 608 733 .7408 2 59 467 444 056 .3372 164 037 902 .0158 854 600 764 .7364 1 60 .22495 -97437-230874-3315 .24192 .97030 .24933 40108 .25882 .96593 .26795 3.7321 Cos. Sin. Cot. Tan. Cos. Sin. Cot. Tan. Cos. Sin. Cot. Tan. M. 770 76° 75° NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 69 15° 16° 17° M. Sin. Cos. Tan. Cot. Sin. Cos. Tan. Cot. Sin. Cos. Tan. Cot. o .25882 .96593 .26795 3.7321 .27564 .96126 .28675 34874 .29237 .95630 .30573 3.2709 60 i 910 585 826 .7277 592 118 706 .4836 265 622 605 .2675 59 2 938 578 857 .7234 620 no 738 .4798 293 613 637 .2641 58 3 966 570 888 .7191 648 102 769 .4760 321 605 669 .2607 57 4 994 562 920 .7148 676 094 801 .4722 348 596 700 .2573 56 5 .26022 .96555 .26951 3.7105 .27704 .96086 .28832 3.4684 •2937° -95588 .30732 3-2539 55 6 °5° 547 98 2 .7062 731 078 864 .4646 404 579 764 .2506 54 7 079 540 .27013 .7019 759 070 895 .4608 432 571 796 .2472 53 8 107 532 044 .6976 787 062 927 .4570 460 562 828 .2438 52 9 135 524 076 .6933 815 054 958 .4533 487 554 860 .2405 5i IO .26163 .96517 .27107 3.6891 .27843 .96046 .28990 3.4495 • 2 95 I 5 -95545 -30891 3-237 1 50 ii 191 509 138 .6848 871 037 .29021 .4458 543 536 923 -2338 49 12 219 502 169 .6806 899 029 053 .4420 57 1 5 2 8 955 -2305 48 13 247 494 201 .6764 927 021 084 .4383 599 5 X 9 987 -2272 47 14 275 486 232 .6722 955 013 116 .4346 626 511 .31019 .2238 46 *5 .26303 .96479 .27263 3.6680 .27983 .96005 .29147 3.4308 •29654 -955°2 -31051 3.2205 45 16 331 471 294 .6638 .28011 .95997 179 .4271 682 493 083 .2172 44 17 359 463 326 .6596 039 989 210 .4234 710 485 115 .2139 43 18 387 45° 357 -0554 067 981 242 .4197 737 476 147 -2106 42 19 415 448 388 .6512 095 972 274 .4160 765 467 178 .2073 4i 20 .26443 .96440 .27419 3.6470 .28123 -95964 -29305 34124 •29793 -95459 .31210 3.2041 40 21 47i 433 45 l - 6 429 l 5° 95 6 337 4087 821 450 242 .2008 39 22 500 425 482 .6387 178 948 368 .4050 849 441 274 .1975 38 23 528 417 513 .6346 206 940 400 .4014 876 433 306 .1943 37 24 556 410 545 .6305 234 931 432 .3977 904 424 33^ -1910 36 25 .26584 .96402 .27576 3.6264 .28262 .95923 .29463 3.3941 •29932 .95415 -31370 3-1878 35 26 612 394 607 .6222 290 915 495 .3904 960 407 402 .1845 34 27 640 386 638 .6181 318 907 526 .3868 987 398 434 .1813 33 28 668 379 670 .6140 346 898 558 .3832 .30015 389 466 .17S0 32 29 696 371 701 .6100 374 890 590 .3796 043 380 498 .1748 3i 3° .26724 .96363 .27732 3.6059 .28402 .95882 .29621 3.3759 •30071 .95372 .315303.1716 30 31 75 2 355 7°4 .6018 780 347 795 .5978 429 874 653 .3723 098 363 562 .16S4 29 32 457 865 685 .3687 '26 354 594 -1652 28 33 808 340 826 .5937 485 857 716 .3652 154 345 626 .1620 27 34 836 332 858 .5897 513 849 748 .3616 182 337 658 .1588 26 35 .26864 .96324 .27889 3.5856 .28541 .95841 .29780 3.3580 .30209 .95328 .31690 3.1556 25 36 892 316 921 .5816 569 832 811 .3544 237 319 722 .1524 24 37 920 308 952 .5776 597 824 843 .3509 265 310 754 -1492 23 38 948 301 983 .5736 625 816 875 .3473 292 301 786 .1460 22 39 976 293 .28015 .5696 652 807 906 .3438 320 293 818 .1429 21 40 .27004 .96285 .28046 3.5656 .28680 .95799 .29938 3.3402 .30348 .95284 .31850 3.1397 20 4i 032 277 077 .5616 708 791 970 .3367 376 275 882 .1366 19 42 060 269 109 .5576 736 782 .30001 .3332 403 266 914 .1334 18 43 088 261 140 .5536 764 774 033 .3297 431 257 946 .1303 17 44 116 253 172 .5497 792 766 065 .3261 459 248 978 .1271 16 45 .27144 .96246 .28203 3.5457 .28820 .95757 .30097 3.3226 .30486 .95240 .32010 3.1240 15 46 172 238 234 .5418 847 749 128 .3191 514 231 042 .1209 14 47 200 230 266 .5379 875 740 160 .3156 542 222 074 .1178 13 48 228 222 297 .5339 903 732 192 -3122 570 213 106 .1146 12 49 256 214 329 .5300 931 724 224 .3087 597 204 139 .1115 11 50 .27284 .96206 .28360 3.5261 .28959 .95715 .30255 3.3052 .30625 .95195 .32171 3.1084 10 5i 312 198 391 .5222 987 707 287 .3017 653 186 203 .1053 9 52 340 190 423 .5183 .29015 698 319 .2983 680 177 235 .1022 8 53 368 182 454 .5144 042 690 351 .2948 708 168 267 .0991 7 54 396 174 486 .5105 070 681 382 .2914 736 159 299 .0961 6 55 .27424 .96166 .28517 3.5067 .29098 .95673 .30414 3.2879 •30763 ^S^o -32331 30930 5 56 452 158 549 .5028 126 664 446 .2845 791 142 363 .0899 4 57 480 150 580 .4989 154 656 478 .2811 819 133 396 .0868 3 58 508 142 612 .4951 182 647 509 .2777 846 124 428 .0838 2 59 536 134 643 .4912 209 639 541 .2743 874 115 460 .0807 1 60 .27564 .96126 .28675 3.4874 .29237 .95630 .30573 3.2709 .30902 .95106 .32492 3.0777 IT Cos. Sin. Cot. Tan. Cos, Sin. Cot, Tan. Cos. Sin. Cot. Tan. 740 73° 72 r 70 NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 18° 19° 20° M. Sin. Cos. Tan. Cot. Sin, Cos. Tan. Cot. Sin, Cos. Tan. Cot. o .30902 .95106 .32492 3.0777 •32557 -94552 -'34433 2.9042 .34202 .93969 .36397 2.7475 60 i 929 097 524 .0746 584 542 465 .9015 229 959 43° -745° 59 2 957 088 556 .0716 612 533 498 .8987 257 949 463 .7425 58 3 985 079 588 .0686 °39 5 2 3 53° -8960 284 939 496 .7400 57 4 .31012 070 621 .0655 667 514 563 .8933 311 929 529 .7376 55 5 .31040 .95061 .32653 3.0625 .32694 .94504 .34596 2.8905 •34339 -93919 -36562 2.7351 55 6 068 052 685 .0595 722 495 628 .8878 366 909 595 .7326 54 7 095 °43 7*7 -0565 749 485 661 .8851 393 899 628 .7302 53 8 123 033 749 .0535 777 47 6 6 93 -8824 421 889 661 .7277 52 9 151 024 782 .0505 804 466 726 .8797 448 879 694 .7253 5i IO .31178.95015 .328143.0475 .32832 .94457 .34758 2.8770 •34475 -93869 -36727 2.7228 50 ii 206 006 846 .0445 859 447 79i -8743 503 859 760 .7204 49 12 233 -94997 878 .0415 887 438 824 .8716 53o 849 793 .7179 48 13 261 988 911 .0385 914 428 856 .8689 557 839. 826 .7155 47 14 289 979 943 .0356 942 418 889 .8662 584 829 859 .7130 46 15 .31316 .94970 .32975 3.0326 .32969 .94409 .34922 2.8636 .34612 .93819 .36892 2.7106 45 16 344 961 .33007 .0296 997 399 954 -8609 639 809 925 .7082 44 17 372 952 040 .0267 .33024 390 987 .8582 666 799 958 .7058 43 18 399 943 072 .0237 051 380 .35020 .8556 694 789 991 -7034 42 19 4 2 7 933 i°4 -0208 079 37° 052 -8529 7 21 779 .37024 .7009 4i 20 .31454.94924.331363.0178 .33106 .94361 .35085 2.8502 ■34748 .93769 -37°57 2.6985 40 21 482 915 169 .0149 134 351 118 .8476 775 759 090 .6961 39 22 510 906 201 .0120 161 342 150 .8449 803 748 123 .6937 38 23 537 897 233 .0090 189 332 183 .8423 830 738 157 -6913 37 24 565 888 266 .0061 216 322 216 .8397 857 728 190 .6889 36 25 •3IS93 -94878 .33298 3-0032 •33244 -943' 3 -35248 2.8370 .34884 .93718 .37223 2.6865 35 26 620 869 330 .0003 271 303 281 .8344 912 708 256 .6841 34 27 648 860 363 2.9974 298 293 314 .8318 939 698 289 .6818 33 28 675 851 395 .9945 326 284 346 .8291 966 688 322 .6794 32 29 703 842 427 .9916 353 274 379 .S265 993 677 355 .6770 3i 30 .31730 .94832 .33460 2.9887 .33381 .94264 .35412 2.8239 .35021 .93667 .37388 2.6746 30 31 758 823 492 .9858 408 254 445 .8213 048 657 422 .6723 29 32 786 814 524 .9829 436 245 477 .8187 075 6 47 455 -6699 28 33 813 805 557 .9800 463 235 510 .8161 102 637 488 .6675 27 34 841 795 589 -977 2 490 225 543 .8135 130 626 521 .6652 26 35 .31868 .94786 .33621 2.9743 .33518 .94215 .35576 2.8109 ■35*57 -93616 .37554 2.6628 25 36 896 777 654 .9714 545 206 608 .S0S3 184 606 588 .6605 24 37 923 768 686 .9686 573 196 641 .8057 211 596 621 .6581 23 38 951 758 718 .9657 600 186 674 .S032 239 585 654 .6558 22 39 979 749 75 * -9629 627 176 707 .8006 266 575 687 .6534 21 40 .32006 .94740 .33783 2.9600 .33655 .94167 .35740 2.7980 •35293-93565 .377202.6511 20 4i °34 730 816 .9572 682 157 772 .7955 320 555 754 -6488 19 42 061 721 848 .9544 710 147 805 .7929 347 544 787 -6464 18 43 089 712 881 .9515 737 137 838 .7903 375 534 820 .6441 17 44 116 702 913 .9487 764 127 871 .7878 402 524 853 .6418 16 45 .32144 .94693 .33945 2.9459 •33792 .94118 .35904 2.7852 •35429 -935*4 .37887 2.6395 15 46 171 684 978 .9431 819 108 937 .7827 456 503 920 .6371 14 47 199 674 .34010 .9403 846 098 969 .7S01 484 493 953 -6348 13 48 227 665 043 .9375 874 088 .36002 .7776 511 483 986 .6325 12 49 254 656 075 .9347 901 078 035 .7751 538 472 .38020 .6302 ' 11 5° .32282 .94646 .34108 2.9319 .33929 .94068 .36068 2.7725 •35565 -93462 .38053 2.6279 10 5i 309 637 140 .9291 956 058 101 .7700 592 452 086 .6256 9 52 337 627 173 .9263 983 049 134 .7675 619 441 120 .6233 8 53 364 618 205 .9235 .34011 039 167 .7650 647 431 153 .6210 7 54 392 609 238 .9208 038 029 199 .7625 674 420 186 .6187 6 55 .32419 .94599 .34270 2.9180 .34065 .94019 .36232 2.7600 .35701 .93410 .38220 2.6165 5 56 447 590 303 -9152 093 009 265 .7575 728 400 253 .6142 755 389 2 86 .6119 4 57 474 580 335 -9I25 120 .93999 298 .7550 3 58 502 571 368 .9097 147 989 33i -7525 782 379 320 .6096 2 59 529 561 400 .9070 175 979 364 .7500 810 368 353 .6074 1 60 •32557 -9455 2 -34433 2.9042 .34202 .93969 .36397 2.7475 ■35837 -93358 -38386 2.6051 Cos. Sin. Cot. Tan. Cos. Sin. Cot. Tan. Cos. Sin. Cot. Tan. M. 71° 7CP 69 : NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 21° 22° 23° 71 M. Sin. Cos. Tan. Cot. Sin. Cos. Tan. Cot. Sin. Cos. Tan. Cot. o •35837 -93358 -38386 2.6051 .37461 .92718 .40403 2.4751 .39073 .92050 .42447 2.3559 60 i 864 348 420 .6028 488 707 436 .4730 100 039 482 .3539 59 2 891 337 453 - 6o ° 6 515 697 470 .4709 127 028 516 .3520 58 3 918 327 487 .5983 542 686 504 .4689 153 016 551 .3501 57 4 945 3i6 520 .5961 569 675 538 .4668 180 005 585 .3483 56 5 •35973 -93306 .38553 2.5938 •37595 -92664 .40572 2.4648 .39207 .91994 .42619 2.3464 55 6 .36000 295 587 .5916 622 653 606 .4627 234 982 654 .3445 54 7 027 285 620 .5893 649 642 640 .4606 260 971 688 .3426 53 8 054 274 654 .5871 676 631 674 .4586 287 959 722 .3407 52 9 081 264 687 .5848 703 620 707 .4566 314 948 757 .3388 5i IO .36108 .93253 .38721 2.5826 .37730 .92609 .40741 2.4545 •39341 -91936 42791 2.3369 50 ii 135 2 43 754 -5804 757 598 775 4525 784 587 809 .4504 367 925 826 .3351 49 12 162 232 787 .5782 394 914 860 .3332 48 13 190 222 821 .5759 811 576 843 .4484 421 902 894 .3313 47 14 217 211 854 .5737 838 565 877 .4464 448 891 929 .3294 46 15 .36244 .93201 .38888 2.5715 .37865 .92554.40911 2.4443 .39474.91879.429632.3276 45 16 271 190 921 .5693 892 543 945 .4423 501 868 998 .3257 44 17 298 180 955 .5671 9i9 532 979 -4403 528 856 .43032 .3238 43 18 325 169 988 .5649 946 521 .41013 .4383 555 845 067 .3220 42 19 352 159 -39022 .5627 973 5 IG °47 4362 581 833 101 .3201 4i 20 •36379 -93148 .39055 2.5605 •37999 -92499 .41081 2.4342 .39608 .91822 .43 x 3 6 2.3183 40 21 406 137 089 .5583 .38026 488 115 .4322 635 810 170 .3164 39 22 434 127 122 .5561 053 477 149 -4302 661 799 205 .3146 38 23 461 116 156 .5539 080 466 183 .4282 688 787 239 .3127 37 24 488 106 190 .5517 107 455 217 .4262 7i5 775 274 .3109 36 25 •36515 -93095 -39223 2.5495 .38134.92444.41251 2.4242 .39741 .91764 .43308 2.3090 35 26 542 084 257 .5473 161 432 285 .4222 768 752 343 .3072 34 27 569 074 290 .5452 188 421 319 .4202 795 74i 378 .3053 33 28 596 063 324 .5430 215 410 353 .4182 822 729 412 .3035 32 29 623 052 357 .5408 241 399 387 4162 848 718 447 .3017 3i 30 .36650 .93042 .39391 2.5386 .38268 .92388 .41421 2.4142 .39875 .91706 .43481 2.2998 30 3i 677 031 425 .5365 295 377 455 4122 902 694 516 .2980 29 32 704 020 458 .5343 322 366 490 .4102 928 683 550 .2962 28 33 731 010 492 .5322 349 355 524 4083 955 671 585 .2944 27 34 758.92999 526 .5300 376 343 558 4063 982 660 620 .2925 26 35 .36785 .92988 .39559 2.5279 .38403 .92332 .41592 2.4043 .40008 .91648 .43654 2.2907 25 36 812 978 593 .5257 430 321 626 .4023 035 636 689 .2889 24 37 839 967 626 .5236 456 310 660 .4004 062 625 724 .2871 23 38 867 956 660 .5214 483 299 694 .3984 088 613 758 .2853 22 39 894 945 694 .5193 510 287 728 .3964 115 601 793 .2835 21 40 .36921 .92935 .39727 2.5172 •38537 -92276 .41763 2-3945 .40141 .91590 .43828 2.2817 20 4i 948 924 761 .5150 564 265 797 .3925 168 578 862 .2799 19 42 975 913 795 -5 I2 9 591 254 831 .3906 195 566 897 .2781 18 43 .37002 902 829 .5108 617 243 865 .3886 221 555 932 .2763 17 44 029 892 862 .5086 644 231 899 .3867 248 543 966 .2745 16 45 .37056 .92881 .39896 2.5065 .38671 .92220 .41933 2.3847 40275 -91531 44001 2.2727 15 46 083 870 930 .5044 698 209 968 .3828 301 519 036 .2709 14 47 no 859 963 .5023 725 198 .42002 .3808 328 508 071 .2691 13 48 137 849 997 .5002 752 186 036 .3789 355 496 105 .2673 12 49 164 838 .40031 .4981 778 175 070 .3770 381 484 140 .2655 n 50 .37191 .92827 .40065 2.4960 .38805 .92164 .42105 2.3750 .40408 .91472 44*75 2.2637 10 5i 218 816 098 .4939 832 152 139 .3731 434 461 210 .2620 9 52 245 805 132 .4918 859 Hi i73 -37 12 461 449 244 .2602 8 53 272 794 166 .4897 886 130 207 .3693 488 437 279 .2584 7 54 299 784 200 .4876 912 119 242 .3673 514 425 314 .2566 6 55 .37326 .92773 .40234 2.4855 •38939 .92107 .42276 2.3654 .40541 .91414 .44349 2.2549 5 56 353 762 267 .4834 966 096 310 .3635 567 402 384 .2531 4 57 380 751 301 .4813 993 085 345 .3616 594 390 418 .2513 3 58 407 740 335 -4792 .39020 073 379 .3597 621 378 453 .2496 2 59 434 729 369 -4772 046 062 413 .3578 647 366 488 .2478 1 60 .37461 .92718 .40403 2.4751 .39073 .92050 .42447 2.3559 .40674 .91355 .44523 2.2460 Cos. Sin. Cot. Tan. Cos, Sin. Cot. Tan. Cos. Sin. Cot. Tan. M. 68° 67< 66° 72 NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 24° 25° 26° M. Sin. Cos. Tan. Cot. Sin. Cos. Tan. Cot. Sin. Cos. Tan. Cot. o .40674 .91355 .44523 2.2460 .42262 .90631 .46631 2.1445 .43837 .89879 .48773 2.0503 60 i 700 343 558 .2443 288 618 666 .1429 863 867 809 .0488 59 2 727 33i 593 -2425 315 606 702 .1413 889 854 845 .0473 58 3 753 319 627 .2408 34i 594 737 -1396 916 841 881 .0458 57 4 780 307 662 .2390 367 582 772 .1380 942 828 917 .0443 56 5 .40806 .91295 .44697 2.2373 .42394 .90569 .46808 2.1364 .43968 .89816 .48953 2.0428 55 6 833 283 732 .2355 420 557 843 .1348 994 803 989 .0413 54 7 860 272 767 .2338 446 545 879 .1332 .44020 790 .49026 .0398 53 .8 886 260 802 .2320 473 532 914 -1315 046 777 062 .0383 52 9 913 248 837 .2303 499 520 95° - I2 99 072 764 098 .0368 5i IO .40939 .91236 .44872 2.2286 .42525 .90507 .46985 2.1283 .44098 .89752 .49134 2.0353 50 ii 966 224 . 907 .2268 552 495 .47021 .1267 124 739 170 .0338 49 12 992 212 942 .2251 578 483 056 .1251 151 726 206 .0323 48 i3 .41019 200 977 .2234 604 470 092 .1235 177 713 242 .0308 47 14 045 188 .45012 .2216 631 458 128 .1219 203 700 278 .0293 46 15 .41072 .91176 .45047 2.2199 .42657 .90446 .47163 2.1203 .44229 .89687 .49315 2.0278 45 16 098 164 082 .2182 683 433 199 -"87 255 6 74 35i -0263 44 17 125 152 117 .2165 709 421 234 .1171 281 662 387 .0248 43 18 151 140 152 .2148 736 408 270 .1155 307 649 423 .0233 42 19 178 128 187 .2130 762 396 305 .1139 333 636 459 .0219 4i 20 .41204 .91116 .45222 2.21 13 .42788.90383.47341 2.1 123 .44359 .89623 .49495 2.0204 40 21 231 104 257 .2096 815 37i 377 -H07 385 610 532 .0189 39 22 257 092 292 .2079 841 358 412 .1092 411 597 568 .0174 38 23 284 080 327 .2062 867 346 448 .1076 437 584 604 .0160 37 24 310 068 362 .2045 894 334 483 .1060 464 571 640 .0145 36 25 .41337 .91056.453972.2028 .42920.90321 .47519 2.1044 •44490 .89558 .49677 2.0130 35 26 363 044 432 .2011 946 309 555 - I02 8 516 545 713 .0115 34 27 390 032 467 .1994 972 296 590 .1013 542 532 749 .0101 33 28 416 020 502 .1977 999 284 626 .0997 568 519 786 .0086 32 29 443 °°8 538 .i960 .43025 271 662 .0981 594 506 822 .0072 3i 30 .41469 .90996 .45573 2.1943 .43051 .90259 .47698 2.0965 .44620 .89493 .49858 2.0057 30 31 496 984 608 .1926 077 246 733 .0950 646 480 894 .0042 29 32 522 972 643 .1909 104 233 769 .0934 672 467 931 .0028 28 33 549 960 678 .1892 130 221 805 .0918 698 454 967 .0013 27 34 575 948 7 l 3 -1876 156 208 840 .0903 724 441 .50004 1.9999 26 35 .41602 .90936 .45748 2.1859 .43182 .90196 .47876 2.0887 .44750 .89428 .50040 1.9984 25 36 628 924 784 .1842 209 183 912 .0872 776 415 076 .9970 24 37 655 911 819 .1825 235 I 7 I 948 -0856 802 402 113 .9955 23 38 681 899 854 .1808 261 158 984 .0840 828 389 149 .9941 22 39 707 887 889 .1792 287 146 .48019 .0825 854 376 185 .9926 21 40 .41734.90875.459242.1775 •43313 -90133 48055 2.0809 .44880 .89363 .50222 1.9912 20 4i 760 863 960 .1758 340 120 091 .0794 906 350 258 .9897 19 42 787 851 995 .1742 366 108 127 .0778 932 337 295 .9883 18 43 813 839.46030 .1725 392 095 163 .0763 958 324 33i .986S 984 311 368 .9854 17 44 840 826 065 .1708 418 082 198 .0748 16 45 .41866 .90814 .46101 2.1692 .43445 .90070 .48234 2.0732 .45010 .89298 .50404^1.9840 15 46 892 802 136 .1675 471 057 270 .0717 036 285 441 .9825 14 47 919 790 171 .1659 497 °45 3o6 .0701 062 272 477 .9811 13 48 945 778 206 .1642 523 032 342 .0686 088 259 514 .9797 12 49 972 766 242 .1625 549 019 378 .0671 114 245 550 .9782 11 50 .41998 .90753 .46277 2.1609 ■43575 90007 .48414 2.0655 .45140 .89232 .50587 1.9768 10 5i .42024 741 312 .1592 602 .89994 450 .0640 166 219 623 .9754 9 52 051 729 348 .1576 628 981 486 .0625 192 206 660 9740 8 53 077 7i7 383 1560 654 968 521 .0609 218 193 696 .9725 7 54 104 704 418 .1543 680 956 557 .0594 243 180 733 .9711 6 55 .42130 .90692 .46454 2.1527 .43706 .89943 .48593 2.0579 .45269 .89167 .50769 1.9697 5 56 156 680 489 .1510 733 93o 629 .0564 295 x 53 8o6 -9683 4 57 183 668 525 .1494 759 918 665 .0549 321 140 843 .9669 3 58 209 655 560 .1478 785 905 7°i 0533 347 127 879 .9654 2 59 235 643 595 .1461 811 892 737 .0518 373 114 916 .9640 1 60 .42262 .90631 .46631 2.1445 •43837 -89879 48773 2.0503 45399 -89101 .50953 1.9626 Cos. Sin. Cot. Tan. Cos. Sin. Cot. Tan. Cos. Sin. Cot. Tan. M. 65° 64° 63 NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 27° 28^ 29° 73 M. Sin. Cos. Tan. Cot. Sin. Cos. Tan. Cot. Sin. Cos. Tan. Cot. o •45399 -89101 -50953 x -9626 .46947.88295 .53171 1.8S07 .48481 .87462 .55431 1.8040 60 i 425 087 989 .9612 973 281 208 .8794 506 448 469 .8028 59 2 451 074.51026 .959S 999 267 246 .8781 532 434 5°7 -8016 58 3 477 061 063 .9584 .47024 254 283 .8768 557 420 545 .8003 57 4 5°3 048 099 .9570 050 240 320 .8755 583 406 583 .7991 56 5 .45529.89035 .511361.9556 .47076 .88226 .53358 1.8741 .48608 .87391 .55621 1.7979 55 6 554 021 173 .9542 101 213 395 .8728 634 377 659 .7966 54 7 580 008 209 .95 2S 127 199 432 .8715 659 363 697 .7954 53 8 606 .8S995 246 .9514 153 185 470 .8702 684 349 736 .7942 52 9 632 981 283 .9500 178 172 507 .8689 7 J o 335 774 -793Q 5i IO .45658 .88968 .51319 1.9486 .47204.88158.53545 1.8676 •48735 -87321 -55812 1. 7917 50 ir 684 955 35 6 -9472 229 144 582 .8663 761 306 850 .7905 49 12 710 942 393 .9458 255 130 620 .8650 786 292 888 .7893 48 13 736 928 430 .9444 281 117 657 .8637 811 278 926 .7881 47 M 762 915 467 .9430 306 103 694 .8624 837 264 964 .7868 46 15 .45787 .88902 .51503 1.9416 .47332.88089.53732 1.8611 .48862 .87250 .56003 1.7856 45 16 813 888 540 .9402 358 075 769 .8598 888 235 041 .7844 44 17 839 875 577 .9388 383 062 807 .8585 913 221 079 .7832 43 18 865 862 614 .9375 409 048 844 .8572 938 207 117 .7820 42 19 891 848 651 .9361 434 034 882 .8559 964 193 156 .7808 4i 20 .45917 .88835 -5 l68 8 1-9347 .47460 .88020 .53920 1.8546 .48989 .87178 .56194 1.7796 40 21 942 822 724 .9333 486 006 957 .8533 .49014 164 232 .7783 39 22 968 808 761 .9319 511 .87993 995 .8520 040 150 270 .7771 38 23 994 795 798 .9306 537 979 -54032 .8507 065 136 309 .7759 37 24 .46020 782 835 .9292 562 965 070 .8495 090 121 347 .7747 36 25 .46046 .88768 .51872 1.9278 .47588 .87951 .54107 1.8482 .49116.87107.56385 1.7735 35 26 °7 2 755 9°9 -9265 614 937 145 .8469 141 093 424 .7723 34 27 097 74i 946 .9251 639 923 183 .8456 166 079 462 .7711 33 28 123 728 983 .9237 665 909 220 .8443 192 064 501 .7699 32 29 149 715 .52020 .9223 690 896 258 .8430 217 050 539 -7687 3i 30 .46175 .88701 .52057 1.9210 .47716 .87882 .54296 1.8418 .49242 .87036 .56577 1.7675 3° 31 201 688 094 .9196 741 868 333 .8405 268 021 616 .7663 29 32 226 674 131 .9183 767 854 371 .8392 293 007 654 .7651 28 33 252 661 168 .9169 793 840 409 .8379 318.86993 693 .7639 27 34 278 647 205 .9155 818 826 446 .8367 344 978 73i -7627 26 35 .46304 .88634 .52242 1.9142 .47844 .87812 .54484 1.8354 .49369 .86964 .56769 1.7615 25 36 330 620 279 .9128 869 798 522 .8341 394 949 808 .7603 24 37 355 6o7 3i6 .9115 S95 784 560 .8329 419 935 846 .7591 23 38 381 593 353 -9ioi 920 770 597 .8316 445 92i 885 .7579 22 39 407 580 390 .9088 946 756 635 .8303 470 906 923 .7567 21 40 .46433 .88566 .52427 1.9074 .47971 .87743 .54673 1.8291 .49495 .86892 .56962 1.7556 20 4i 458 553 464 -9061 997 729 7" -8278 521 878.57000 .7544 19 42 484 539 5 QI -9047 .48022 715 748 .8265 546 863 039 .7532 18 43 510 526 538 .9034 048 701 786 .8253 571 849 078 .7520 17 44 536 5 12 575 -9020 073 687 824 .8240 596 834 116 .7508 16 45 .46561 .88499 -52613 1.9007 .48099 .87673 .54862 1.8228 .49622 .86820 .57155 1.7496 15 46 587 485 650 .8993 124 659 900 .8215 647 805 193 .7485 14 47 613 472 687 .8980 150 645 938 .8202 672 791 232 .7473 13 48 639 458 724 .8967 *75 631 975 .8190 697 777 271 .7461 12 49 664 445 761 .8953 201 617 .55013 .8177 723 762 309 .7449 11 5o .46690 .88431 .52798 1.8940 .48226.87603.55051 1.8165 •49748 .86748 .57348 1.7437 10 5i 716 417 836 .8927 252 589 089 .8152 773 733 386 .7426 9 52 742 404 873 .8913 277 575 127 .8140 798 719 425 .7414 824 704 464 .7402 8 53 767 390 910 .8900 303 561 165 .8127 7 54 793 377 947 -8887 328 546 203 .8115 849 690 503 .7391 6 55 .46819 .88363 .52985 1.8873 .48354 .87532 .55241 1.8103 .49874.86675 .57541 1.7379 5 56 844 349 -53022 .8860 379 518 279 .8090 899 661 580 .7367 4 57 870 336 059 .8847 405 5°4 317 -8078 924 646 619 .7355 3 58 896 322 096 .8834 430 490 355 .8065 950 632 657 .7344 2 59 921 308 134 .8820 456 476 393 .8053 975 617 696 .7332 1 60 .46947 .88295 .53171 1.8807 .48481 .87462 .55431 1.8040 .50000 .86603 -57735 J -732i Cos. Sin. Cot. Tan, Cos. Sin. Cot. Tan. Cos. Sin. Cot. Tan. M. 62° 61 c 60° 74 NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 30° 31° 32° 1 12 13 M r 5 16 17 18 19 20 Sin, Cos. Tan. Cot, Jin. Cos. Tan. Cot. Cos, Tan, Cot, .50000 025 050 076 101 .50126 176 201 227 .50252 277 302 327 352 •5°377 403 428 453 478 •5°5°3 528 553 578 603 .50628 654 679 704 729 •50754 779 804 829 854 .50879 904 929 954 979 .51004 029 054 079 104 .51129 J 54 179 204 229 •51254 279 304 329 354 •5*379 404 429 454 479 -5 I 5°4 .86603 588 573 559 544 .86530 5i5 501 486 47i .86457 442 427 4i3 398 ,86384 369 354 340 325 ,86310 295 281 266 251 86237 222 207 192 178 ,86163 148 133 119 104 074 059 045 030 ,86015 000 85985 970 95 6 85941 926 911 896 881 85866 851 836 821 806 .85792 777 762 747 732 ,85717 •57735 1 774 813 890 •57929 1 968 .58007 046 085 .58124 1 162 201 240 279 .58318 1 357 396 435 474 .58513 1 552 59i 631 670 .58709 1 748 787 826 865 .58905 1 944 983 .59022 061 .59101 1 140 179 218 258 •59297 1 336 376 415 454 •59494 1 533 573 612 651 .59691 1 730 770 809 849 .59888 1 928 967 .60007 046 .60086 1 732i 7309 7297 7286 7274 7262 7251 7239 7228 7216 7205 7193 7182 7170 7159 7H7 7136 7124 7"3 7102 7090 7079 7067 7056 7045 7°33 7022 701 1 6977 6965 6954 6943 6932 6920 6909 6898 6887 6875 6864 6853 6S42 6831 6820 6808 6797 6786 6775 6764 6 753 6742 6731 6720 6709 6698 6687 6676 6665 6654 6643 .51504 5 2 9 554 579 604 .51628 653 678 703 728 •5 J 753 778 803 828 852 •51877 902 927 952 977 .52002 026 05 1 076 101 .52126 I5 1 175 200 225 .52250 275 299 324 349 •52374 399 423 448 473 •52498 522 547 572 597 .52621 646 671 696 720 •52745 77o 794 819 844 .52869 893 918 943 967 .52992 •85717 702 687 672 657 .85642 627 612 597 582 •85567 55 1 536 52 I 506 .85491 476 461 446 43i .85416 401 385 37° 355 .85340 325 310 294 279 •85264 249 234 218 203 .85188 *73 157 142 127 .85112 096 081 066 051 •85035 020 005 .84989 974 •84959 943 928 913 897 .84882 866 851 836 820 .84805 .60086 126 165 205 245 .60284 324 364 403 443 .60483 522 562 602 642 ,60681 721 761 801 921 960 ,61000 040 ,61080 120 160 200 240 ,61280 320 360 400 440 61480 520 56i 601 641 .61681 721 761 801 842 61882 922 962 62003 043 ,62083 124 164 204 245 ,62285 325 366 406 446 ,62487 1.6643 .6632 .6621 .6610 .6599 1.6588 •6577 .6566 •6555 •6545 I-6534 •6523 .6512 .6501 .6490 1.6479 .6469 .6458 .6447 .6436 1.6426 .6415 .6404 ■6393 .6383 1.6372 .6361 •6351 .6340 .6329 1-6319 .6308 .6297 .6287 .6276 1.6265 .6255 .6244 .6234 .6223 1. 62 1 2 .6202 .6191 .6181 .6170 1. 61 60 .6149 .6139 .6128 .6118 1. 6107 .6097 .60S7' .6076 .6066 16055 .6045 .6034 .6024 .6014 1.6003 .52992 •53017 041 066 091 •53II5 140 164 1S9 214 .53238 263 288 312 337 •5336i 386 411 435 460 •53484 5°9 534 558 583 ■53607 632 656 681 705 ■53730 754 779 804 828 .53853 877 902 926 95 1 •53975 .54000 024 049 073 •54097 122 146 171 195 54220 244 269 293 3i7 54342 366 39i 415 440 .54464 .84805 789 774 759 743 .84728 712 697 681 666 .84650 635 619 604 588 •84573 557 542 526 5" 84495 480 464 448 433 ,84417 402 386 370 355 •84339 324 308 292 277 .84261 245 230 214 198 .84182 167 151 .84104 088 072 057 041 .84025 009 •83994 978 962 ,83946 93° 915 899 883 .83867 .62487 527 568 608 649 .62689 730 77° 811 ■ 852 62892 933 973 .63014 055 .63095 136 177 217 258 ,63299 340 380 421 462 63503 544 584 625 666 ,63707 748 789 830 871 .63912 953 994 .64035 076 .64117 158 199 240 281 .64322 363 404 446 487 .64528 569 610 652 693 •64734 775 817 858 899 .64941 6003 5993 5983 5972 5962 5952 5941 593i 5921 59" 5900 5890 58S0 5869 5859 5849 5839 5829 5818 5808 5798 57S8 5778 5768 5757 5747 5737 5727 57*7 5707 5697 5687 5677 5667 5657 5647 5637 5627 5617 5607 5597 5587 5577 5567 5557 5547 5537 5527 5517 5507 5497 5487 5477 5468 5458 5448 5438 5428 54i8 540S 5399 Cos. Sin. Cot. Tan. 59° Cos. Sin. Cot. Tan. 68^ Cos. Sin, Cot. Tan. 57° NATURAL SINES, COSINES, 33° TANGENTS, 34° AND COTANGENTS. 35° 75 M. Sin. Cos. Tan. Cot. Sin. Cos. Tan. Cot. Sin. Cos. Tan. Cot. o .54464 .83867 .64941 1.5399 .55919 .82904 .67451 1.4S26 •57358 .81915 .7002! 1.4281 60 i 488 851 982 .5389 943 887 493 .4816 381 899 064 .4273 59 2 513 835 .65024 .5379 968 871 536 .4807 405 882 107 .4264 58 3 537 819 065 .5369 992 855 578 .4798 429 865 151 .4255 57 4 561 804 106 .5359 .56016 839 620 .4788 453 848 194 .4246 56 5 .54586 .83788 .65148 1.5350 .56040 .82822 .67663 1.4779 .57477 -81832 .70238 1.4237 55 6 610 772 189 .5340 064 806 705 .4770 501 815 281 .4229 54 7 635 75 6 2 3i -533° 088 790 748 .4761 524 798 325 -4220 53 8 659 740 272 .5320 112 773 790 .4751 548 782 368 .4211 52 9 683 724 3i4 -53" 136 757 832 .4742 572 765 412 .4202 5i IO .54708 .83708 .65355 1.5301 .56160.82741 .67875 1.4733 .57596 .81748 .70455 1.4193 50 ii 732 692 397 .5291 184 724 917 .4724 619 73i 499 4185 49 12 756 676 438 .5282 208 708 960 .4715 643 714 542 4176 48 13 781 660 480 .5272 232 692 .68002 .4705 667 698 586 .4167 47 14 805 645 521 .5262 2 56 675 045 .4696 691 681 629 .4158 46 15 .54829 .83629 .65563 1.5253 .56280 .82659 .68088 1.4687 .57715 .81664 -70673 1.415° 45 16 854 613 604 .5243 305 643 130 .4678 738 647 717 .4141 44 17 878 597 646 .5233 329 626 173 .4669 762 631 760 .4132 43 18 902 581 688 .5224 353 610 215 .4659 786 614 804 .4124 42 19 927 565 729 -52I4 377 593 258 .4650 810 597 848 .4115 4i 20 •5495 1 - 8 3549 -65771 1-5204 .56401 .82577 .68301 1.4641 .57833 .81580 .70891 1.4106 40 21 975 533 813 .5195 425 5 61 343 -4632 857 5 6 3 935 4097 39 22 999 5'7 854 .5185 449 544 386 .4623 881 546 979 .4089 38 23 .55024 501 896 .5175 473 528 429 -4614 904 530.71023 .4080 37 24 048 485 938 .5166 497 5" 47 1 4605 928 513 066 .4071 36 25 .55072 .83469 .65980 1.5156 .56521 .82495 -68514 14596 .57952 .81496 .71110 1.4063 35 26 097 453 -66021 .5147 545 478 557 4586 976 479 354 .4054 34 27 121 437 063 .5137 569 462 600 .4577 999 462 198 .4045 33 28 145 421 105 .5127 593 446 642 .4568 •58023 445 242 .4037 32 29 169 405 147 .5118 617 429 685 .4559 047 428 285 .4028 3i 3° •55 I 94 83389 .66189 1.5108 .56641 .82413 .68728 1.4550 .58070 .81412 .71329 1.4019 30 31 218 373 230 .5099 665 396 77i 4541 094 395 373 401 1 29 32 242 356 272 .5089 689 380 814 .4532 118 378 417 .4002 28 33 266 340 314 .5080 713 363 857 .4523 141 361 461 .3994 27 34 291 324 356 .5070 736 347 900 .4514 165 344 505 .3985 26 35 •55315 -83308 .66398 1.5061 .56760 .82330 .68942 1.4505 .58189 .81327 .71549 1.3976 25 36 339 292 440 .5051 784 314 985 .4496 212 310 593 .3968 24 37 363 276 482 .5042 808 297 .69028 .4487 236 293 637 .3959 23 38 388 260 524 .5032 832 281 071 .4478 260 276 681 .3951 22 39 412 244 566 .5023 856 264 114 .4469 283 259 725 .3942 21 40 .55436 .83228 .66608 1. 501 3 .56880 .82248 .69157 1.4460 .58307 .81242 .71769 1.3934 20 4i 460 212 650 .5004 904 231 200 .4451 330 225 813 .3925 19 42 484 195 692 .4994 928 214 243 .4442 354 208 857 .3916 18 43 509 179 734 .4985 952 198 286 .4433 378 191 901 .3908 17 44 533 163 776 -4975 976 181 329 .4424 401 174 946 .3899 16 45 •55557 -83147 -66818 1.4966 581 131 860 .4957 .57000 .82165 -69372 1.4415 .58425 .81157 .71990 1.3891 15 46 024 148 416 .4406 449 140 .72034 .3882 14 47 605 115 902 .4947 047 132 459 4397 472 123 078 .3874 13 48 630 098 944 .4938 071 115 502 .4388 496 106 122 .3865 12 49 654 082 986 .4928 095 098 545 -4379 519 089 167 .3857 11 50 .55678 .83066 .67028 1.4919 .57119 .82082 .69588 1.4370 .58543.81072.72211 1.3848 10 5i 702 050 071 .4910 143 065 631 .4361 5 6 7 055 255 .3840 590 038 299 .3831 9 52 726 034 113 .4900 167 048 675 .4352 8 53 75° OI 7 155 4891 191 032 718 .4344 614 021 344 .3823 7 54 775 001 197 .4882 215 015 761 .4335 637 004 388 .3814 6 55 •55799 -82985 .67239 1.4872 .57238 .81999 .69804 1.4326 .58661 .80987 .72432 1.3806 5 56 823 969 282 .4863 262 982 847 .4317 684 970 477 .3798 4 57 847 953 324 -4854 286 965 891 .430S 708 953 521 .3789 3 58 871 93 6 366 .4844 310 949 934 .4299 73i 936 5 6 5 -3781 2 59 895 920 409 .4835 334 932 977 4290 755 919 610 .3772 1 60 .55919 .82904 .67451 1.4826 .57358 .81915 .70021 1.4281 .58779 .80902 .72654 1.3764 Cos. Sin. Cot. Tan. Cos. Sin. Cot. Tan. Cos. Sin. Cot. Tan. M. 56 c 55° 54° 76 NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 36° 37° 38° M. Sin. Cos. Tan. Cot. Sin. Cos. Tan. Cot. Sin. Cos. Tan. Cot. o .58779 .80902 .72654 1.3764 .60182 .79864 .75355 1.3270 .61566 .78801 .78129 1.2799 60 i 802 885 699 3755 205 846 401 .3262 589 783 175 -2792 59 2 826 867 743 3747 228 829 447 .3254 612 765 222 .2784 58 3 849 850 788 3739 251 811 492 .3246 635 747 269 .2776 57 4 873 833 832 3730 274 793 538 -3238 658 729 316 .2769 56 5 .58896 .80816 .72877 1 3722 •60298 .79776 .75584 1.3230 .61681 .78711 .78363 1. 2761 55 6 920 799 921 37!3 321 758 629 .3222 704 694 410 .2753 54 7 943 782 966 3705 344 74i 675 .3214 726 676 457 .2746 53 8 967 765 -730IO 3697 367 723 721 .3206 749 658 504 .2738 52 9 990 748 055 36S8 390 706 767 .3198 772 640 551 .2731 5i IO .59014 .80730 .73100 1 3680 .60414 .79688 .75812 1. 3190 .61795 .78622 .78598 1.2723 50 ii 037 7!3 144 3672 437 671 858 .3182 818 604 645 .2715 49 12 061 696 189 3663 460 653 904 .3175 841 586 692 .2708 48 13 084 679 234 3655 483 635 950 .3167 864 568 739 .2700 47 14 108 662 278 3647 506 618 996 .3159 887 550 786 .2693 46 15 .59131 .80644 .73323 1 3638 .60529 .79600 .76042 1.3151 .61909 .78532 .78834 1.2685 45 16 154 627 368 3630 553 583 088 .3143 932 514 881 .2677 44 17 178 610 413 3622 576 565 134 .3135 955 496 928 .2670 978 478 975 .2662 43 18 201 593 457 3613 599 547 180 .3127 42 19 225 576 502 3605 622 530 226 .3119 .62001 460 .79022 .2655 4i 20 .59248 .80558 .73547 1 3597 .60645 .79512 .76272 1.3m .62024 .78442 .79070 1.2647 40 21 272 541 592 3588 668 494 318 .3103 046 424 117 .2640 39 22 295 524 637 318 507 681 358o 691 477 364 -3°95 069 405 164 .2632 38 23 3572 714 459 410 .3087 092 387 212 .2624 37 24 342 489 726 3564 738 441 456 -3°79 115 369 259 .2617 36 25 .59365 .80472 -7377 1 1 3555 .60761 .79424 .76502 1.3072 .62138 .78351 .79306 1.2609 35 26 389 455 816 3547 784 406 548 .3064 160 333 354 .2602 34 27 412 438 861 3539 807 388 594 .3056 183 315 401 .2594 33 28 436 420 906 353i 830 371 640 .3048 206 297 449 .2587 32 29 459 403 95 1 3522 853 353 686 .3040 229 279 496 .2579 3i 30 .59482 .80386 .73996 1 35H •60876 .79335 .76733 1.3032 .62251 .78261 .79544 1.2572 30 31 506 368 .74041 35° 6 899 3i8 779 -3024 274 243 591 .2564 29 32 529 351 086 3498 922 300 825 3017 297 225 639 .2557 28 33 552 334 131 349° 945 282 871 .3009 968 264 918 .3001 320 206 686 .2549 27 34 576 316 176 348i 342 188 734 .2542 26 35 .59599 .80299 .74221 1 3473 .60991 .79247 .76964 1.2993 .62365 .78170.79781 1.2534 388 152 829 .2527 25 36 622 282 267 3465 .61015 229 .77010 .2985 24 37 646 264 3 1 2 3457 038 211 057 .2977 411 134 877 .2519 23 38 669 247 357 3449 061 193 103 .2970 433 116 924 .2512 22 39 693 230 402 3440 084 176 149 .2962 456 098 972 .2504 21 40 .59716 .80212 .74447 1 3432 •61 107 .79158 .77196 1.2954 .62479 .78079 .80020 1.2497 20 4i 739 195 492 3424 130 140 242 .2946 502 061 067 .2489 19 42 763 178 538 34i6 153 122 289 .2938 524 043 115 .2482 18 43 786 160 583 3408 176 105 335 -2931 547 ° 2 5 l6 3 -2475 17 44 809 143 628 3400 199 087 382 .2923 570 007 211 .2467 16 45 .59832 .80125 .74674 1 3392 .61222 .79069 .77428 1. 2915 .62592 .77988 .80258 1.2460 15 46 856 108 719 3384 245 °5i 475 -2907 268 033 521 .2900 615 970 306 .2452 14 47 879 091 764 3375 638 952 354 -2445 13 48 902 073 810 3367 291 016 568 .2892 660 934 402 .2437 12 49 926 056 855 3359 314.78998 615 .2884 683 916 450 .2430 11 5° .59949 .80038 .74900 1 335i .61337 .78980 .77661 1.2876 .62706 .77897 .80498 1.2423 10 5i 972 021 946 3343 360 962 708 .2869 728 879 546 .2415 9 52 995 °°3 99i 3335 383 944 754 -2861 751 861 594 .2408 8 53 .60019 .79986 .75037 3327 406 926 801 .2853 774 843 642 .2401 7 54 042 968 082 3319 429 908 848 .2846 796 824 690 .2393 6 55 .60065 .79951 .75128 1 33" .61451 .78891 .77895 1.2838 .62819 .77806 .80738 1.23S6 5 56 089 934 173 3303 474 873 941 .2830 842 788 786 .2378 4 57 112 916 219 3295 497 855 988 .2822 864 769 834 .2371 3 58 135 899 264 158 881 310 3287 520 837 .78035 .2815 887 751 882 .2364 2 59 3278 543 819 082 .2807 909 733 930 .2356 1 60 .60182 .79864 .75355 ' 3270 .61566 .78S01 .78129 1.2799 .62932 .77715 .80978 1.2349 Cos. Sin. Cot. Tan. Cos. Sin. Cot. Tan. Cos. Sin. Cot. Tan. M. 53° 52° 51° NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 39° 40° 41° 77 M. Sin. Cos. Tan. Cot. Sin. Cos. Tan. Cot. Sin. Cos. Tan. Cot. o .62932 .77715 .80978 1.2349 .64279 .76604 .83910 1. 1918 .65606 .75471 .86929 1 i5°4 60 i 955 696.81027 .2342 301 586 960 . 1910 628 452 980 1497 59 2 977 678 075 .2334 323 567 .84009 . 1903 650 433 .87031 1490 58 3 .63000 660 123 .2327 346 548 059 . 1896 672 414 082 1483 57 4 022 641 171 .2320 368 530 108 . 1889 694 395 *33 H77 56 5 .63045 .77623 .81220 1. 2312 .64390.76511 .84158 1. 1882 •657!6 -75375 -87184 1 1470 55 6 068 605 268 .2305 412 492 208 . 1875 738 356 236 1463 54 7 090 586 316 .2298 435 473 258 . 1 868 759 337 287 1456 53 8 113 568 364 .2290 457 455 307 • 1861 781 3i8 338 1450 52 9 i35 55° 4i3 -2283 479 436 357 • 1854 803 299 389 1443 5i IO .63158 .77531 .81461 1.2276 180 513 510 .2268 .64501 .76417 .84407 1. 1847 .65825 .75280 .87441 1 1436 50 ii 524 398 457 . 1S40 847 261 492 H3o 49 12 203 494 55 8 -2261 546 380 507 . 1833 869 241 543 1423 48 13 225 476 606 .2254 568 361 556 . 1826 891 222 595 1416 47 14 248 458 655 .2247 590 342 606 . 1819 913 203 646 1410 46 15 •63271 77439-8i703 1-2239 .64612 .76323 .84656 1. 1812 •65935 -75 l8 4 -87698 1 1403 45 16 293 421 752 -2232 635 304 706 • 1806 956 165 749 1396 44 17 316 402 800 .2225 657 286 756 . 1799 978 146 801 1389 43 18 338 384 849 .2218 679 267 806 . 1792 .66000 126 852 1383 42 19 361 366 898 .2210 701 248 856 . 1785 022 107 904 1376 4i 20 •63383 -77347 -81946 1.2203 .64723 .76229 .84906 1. 1778 .66044 .75088 .87955 1 1369 40 21 406 329 995 .2196 746 210 956 . 1771 066 069 .88007 1363 39 22 428 310 .82044 .2189 768 192 .85006 . 1764 088 050 059 1356 38 23 451 292 092 .2181 79o 173 057 • 1757 109 030 no 1349 37 24 473 273 141 .2174 812 154 107 . 1750 131 on 162 1343 36 25 .63496 .77255 .82190 1.2167 .64834 .76135 .85157 1. 1743 .66153 .74992 .88214 1 1336 35 26 518 236 238 .2160 856 116 207 . 1736 175 973 265 1329 34 27 540 218 287 .2153 878 097 257 . 1729 197 953 317 1323 33 28 563 199 336 2145 901 078 308 . 1722 218 934 369 1316 32 29 585 181 385 .2138 923 059 35S . 1715 240 915 421 1310 3i 3° .63608 .77162 .82434 1.2131 .64945 .76041 .85408 1. 1708 .66262 .74896 .88473 ' 1303 30 31 630 144 483 .2124 967 022 458 . 1702 284 876 524 1296 29 32 653 125 531 .2117 989 003 509 . 1695 306 857 576 1290 28 33 675 io 7 580 .2109 .65011 .75984 559 . 1688 327 838 628 1283 27 34 698 088 629 .2102 033 965 609 . 1681 349 818 6S0 1276 26 35 .63720 .77070 .82678 1.2095 742 051 727 .2088 .65055 .75946 .85660 1. 1674 •66371 .74799 -88732 1 1270 25 36 077 927 710 . 1667 393 78o 784 1263 24 37 765 033 776 .2081 100 908 761 . 1660 414 760 836 1257 23 38 787 014 825 .2074 122 889 811 . 1653 436 741 888 1250 22 39 810 .76996 874 .2066 144 870 862 . 1647 458 722 940 1243 21 40 .63832 .76977 .82923 1.2059 .65166 .75851 .85912 1. 1640 .66480 .74703 .88992 1 1237 20 4i 854 959 972 .2052 188 832 963 . 1633 501 683 .89045 1230 19 42 877 940 .83022 .2045 210 813 .86014 • 1626 523 664 097 1224 18 43 899 921 071 .2038 232 794 064 . 1619 545 644 149 1217 17 44 922 903 120 .2031 254 775 "5 • 1612 566 625 201 1211 16 45 .63944 .76884 .83169 1.2024 .65276 .75756 .86166 1. 1606 .66588 .74606 .89253 1 1204 15 46 966 866 218 .2017 298 738 216 . 1599 610 586 306 1 197 14 47 989 847 268 .2009 320 719 267 . 1592 632 567 358 1191 13 48 .64011 828 317 .2002 342 700 318 . 1585 653 548 410 1 184 12 49 033 810 366 .1995 364 680 368 . 1578 675 528 463 1178 n 50 .64056 .76791 .83415 1. 1988 .65386 75661 .86419 1. i57i .66697 -745°9 -895 1 5 ' 1171 10 5i 078 772 465 .1981 408 642 470 . 1565 718 489 567 1165 9 52 100 754 514 .1974 430 623 521 . 1558 740 470 620 1158 8 53 123 735 564 .1967 452 604 572 . !55i 762 451 672 1152 7 54 145 717 613 .i960 474 585 623 . 1544 783 431 725 1 145 6 55 .64167 .76698 .83662 1. 1953 .65496 .75566 .86674 1. 1538 .66805 .74412 .89777 1 "39 5 56 190 679 712 .1946 518 547 725 . 1531 827 392 830 1132 4 57 212 661 761 .1939 540 528 776 . 1524 848 373 883 1126 3 58 234 642 811 .1932 562 509 827 . 1517 870 353 935 1119 2 59 256 623 860 .1925 584 490 878 . 1510 891 334 988 1113 1 60 .64279 .76604 .83910 1.1918 .65606 .75471 .86929 1. i5°4 •66913 .74314 -90040 1 1 106 Cos, Sin. Cot. Tan. Cos. 8in. Cot. 1 Pan. Cos. Sin. Cot. ran. 50° 49° 48° 78 NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 42° 43° 44° M. Sin. Cos. Tan. Cot. Sin. Cos, Tan. Cot. Sin. Cos. Tan. Cot. o •66913 -74314 .90040 I.I 106 .68200.73135 .93252 1.0724 •69466 .71934 -96569 1-0355 60 i 935 2 95 °93 ■"GO 221 116 306 .0717 487 914 625 .0349 59 2 956 276 146 .1093 242 096 360 .0711 508 894 681 .0343 58 3 978 256 199 .1087 264 076 415 .0705 5 2 9 873 738 .0337 57 4 999 237 251 .1080 285 056 469 .0699 549 853 794 .0331 56 5 .67021 .74217 .90304 1. 1074 .68306 .73036 .93524 I.0692 .69570 .71833 .96850 1.0325 55 6 043 198 357 -1067 327 016 578 .0686 591 813 907 .0319 54 7 064 17S 410 .1061 349 -72996 633 .0680 612 792 963 .0313 53 8 086 159 463 .1054 370 976 688 .0674 633 77 2 -97 02 o -0307 52 9 io 7 1 39 516 .1048 391 957 742 .0668 654 75 2 076 .0301 5i IO .67129 .74120 .90569 1.1041 .68412 .72937 .93797 1 .066 1 •69675 •7 I 73 2 -97I33 1-0295 50 ii 151 100 621 .1035 434 917 852 .0655 696 711 189 .0289 49 12 172 0S0 674 .1028 455 897 906 .0649 717 691 246 .0283 48 13 194 061 727 .1022 476 877 961 .0643 737 671 302 .0277 47 14 215 041 781 .1016 497 S57 .94016 .0637 758 650 359 .0271 46 15 .67237 .74022 .90834 1. 1009 .68518 .72837 .94071 1.0630 •69779 -7J630 .97416 1.0265 45 16 258 002 887 .1003 539 817 125 .0624 800 610 472 .0259 44 17 280 .739S3 940 .0996 561 797 180 .0618 821 590 529 .0253 43 18 301 963 993 .0990 582 777 235 .0612 842 569 586 .0247 42 19 323 944 .91046 .09S3 603 757 290 .0606 862 549 643 .0241 4i 20 •67344 73924 -91099 1.0977 .6S624 .72737 .94345 1.0599 .69883 .71529 .97700 1.0235 40 21 366 904 153 .0971 645 717 400 .0593 904 508 756 .0230 39 22 387 8S5 206 .0964 666 697 455 .0587 925 488 813 .0224 38 23 409 865 259 .0958 688 677 510 .0581 946 468 870 .0218 37 24 430 846 313 .0951 7°9 657 565 .0575 966 447 927 .0212 36 25 .67452 .73826 .91366 1.0945 .68730 .72637 .94620 1.0569 .69987 .71427 .97984 1.0206 35 26 473 806 419 .0939 751 617 676 .0562 .70008 407 .98041 .0200 34 27 495 787 473 -0932 772 597 73i -0556 029 386 098 .0194 33 28 516 767 526 .0926 793 577 786 .0550 049 366 155 .0188 32 29 538 747 5 So -0919 814 557 841 .0544 070 345 213 .0182 3i 30 •67559 -73728 -91633 1-0913 .68835 .72537 .94896 1.0538 .70091 .71325 .98270 1.0176 30 31 580 708 687 .0907 857 5'7 95 2 -0532 112 305 327 .0170 29 32 602 6SS 740 .0900 878 497 .95007 .0526 132 284 384 .0164 28 33 623 669 794 .0894 899 477 062 .0519 153 264 441 .0158 27 34 645 649 847 .088S 920 457 118 .0513 174 243 499 .0152 26 35 .67666 .73629 .91901 1.0S81 .68941 .72437 .95173 1.0507 .70195 .71223 .98556 1.0147 25 36 688 610 955 .0875 962 417 229 .0501 215 203 613 .0141 24 37 709 590 .92008 .0869 983 397 284 .0495 236 182 671 .0135 23 38 73° 57° 062 .0S62 •69004 377 340 .0489 257 162 728 .0129 22 39 752 551 116 .0856 025 357 395 -04S3 277 141 786 .0123 21 40 •67773-7353I -92170 1-0850 .69046.72337 .95451 1.0477 .70298 .71121 .98843 1.0117 20 41 795 5" 224 .0843 067 317 506 .0470 319 100 901 .0111 19 42 816 491 277 .0837 088 297 562 .0464 339 0S0 958 .0105 18 43 837 472 33* -oS3i 109 277 618 .0458 360 059 .99016 .0099 17 44 859 452 385 .0824 130 257 673 .0452 381 039 073 .0094 16 45 .67SS0 .73432 .92439 1.0818 .69151 .72236 .95729 1.0446 .70401 .71019 .99131 1.00S8 15 46 901 413 493 .0812 172 216 785 .0440 422 .70998 189 .0082 M 47 923 393 547 -0805 193 196 841 .0434 443 978 247 .0076 13 48 944 373 601 .0799 214 176 897 .0428 463 957 3°4 -0070 12 49 965 353 655 .0793 2 35 156 95 2 -°422 484 937 362 .0064 11 50 •67987 -73333 -92709 1-0786 .69256 .72136 .96008 1.0416 .70505 .70916 .99420 1.0058 10 5i .68008 314 763 .07S0 277 116 064 .0410 525 896 478 .0052 9 52 029 294 817 .0774 298 095 120 .0404 546 875 536 .0047 8 53 051 274 872 .076S 319 075 176 .0398 567 855 594 .0041 7 54 072 254 926 .0761 340 055 232 .0392 5S7 834 652 .0035 6 55 .68093 .73234 .92980 1.0755 .69361 .72035 .96288 1.0385 .70608 .70813 .99710 1.0029 5 56 115 215.93034 .0749 3S2 015 344 .0379 628 793 768 .0023 4 57 136 195 088 .0742 403 .71995 400 .0373 649 772 826 .0017 3 58 157 175 143 .0736 424 974 457 -0367 670 752 884 .0012 2 59 179 155 197 -073° 445 954 5»3 -0361 690 731 942 .0006 1 60 .68200 .73135 .93252 1.0724 .69466.71934.96569 1.0355 .70711 .70711 1.0000 1. 0000 Cos. Sin. Cot. Tan. Cos. Sin. Cot. Tan. Cos. Sin. Cot. Tan. M. 47 c 46° 45 c 0° AUXILIARY TABLE FOR SMALL ANGLES. P 2° 3° 79 '» Sin. Tan. Sin. Tan. Sin. Tan. Sin. Tan. Sin. Tan, M. 4- 38 4- 38 4.68 4.68 4.68 o 5575 5575 5553 5619 5487 5751 5376 5972 5222 6281 I 5575 5575 5552 5620 5485 5754 5374 5976 5219 6287 1 2 5575 5575 555 1 5622 54*4 5757 5372 598i 5216 6293 2 3 5575 5575 555 1 5 6 23 5482 5760 5370 5985 5213 6299 3 4 5575 5575 555o 5625 548i 5763 5367 5990 5210 6305 4 5 5575 5575 5549 5627 5479 5766 5365 5994 5207 631 1 5 6 5575 5575 5548 5628 5478 5769 5363 5999 5204 6317 6 7 5575 5575 5547 5 6 3° 547 6 5773 536i 6004 5201 6323 7 8 5574 5576 5547 5 6 32 5475 5776 5358 6008 5198 6329 8 9 5574 5576 5546 5 6 33 5473 5779 5356 6013 5195 6335 9 IO 5574 5576 5545 5 6 35 547 1 5782 5354 6017 5192 6341 10 ii 5574 5576 5544 5 6 37 547° 5785 5351 6022 5189 6348 11 12 5574 5577 5543 5638 5468 5788 5349 6027 5186 6354 12 13 5574 5577 5542 5640 5467 5792 5347 6031 5183 6360 13 14 5574 5577 554i 5642 5465 5795 5344 6036 5180 6366 14 15 5573 5578 5540 5644 5463 5798 5342 6041 5177 6372 15 16 5573 5578 5539 5646 5462 5802 5340 6046 5173 6379 16 17 5573 5578 5539 5648 5460 5805 5337 6051 5'7° 6385 17 18 5573 5579 5538 5M 5458 5808 5335 6055 5 l6 7 6391 18 19 5573 5579 5537 5651 5457 5812 5332 6060 5164 6398 19 20 5572 558o 5536 5 6 53 5455 5815 5330 6065 5161 6404 20 21 5572 558o 5535 5 6 55 5453 5818 5327 6070 5158 6410 21 22 5572 558i 5534 5 6 57 545i 5822 5325 6075 5*54 6417 22 33 5572 558i 5533 5 6 59 5450 5825 5322 6080 5I5 o 6423 23 24 557i 5582 5532 5661 5448 5829 532o 6085 5H8 6430 24 25 5571 5583 553i 5663 5446 5833 5317 6090 5 J 45 6436 25 26 557i 5583 5530 5665 5668 5444 5836 5315 6095 5141 6443 26 27 5570 5584 5529 5443 5840 5312 6100 5138 6449 27 28 5570 5584 5527 5670 5441 5843 53io 6105 5U5 6456 28 29 557o 5585 5526 5672 5439 5847 5307 61 10 5^2 6462 29 30 55 6 9 5586 55 2 5 5 6 74 5437 5851 5305 6116 5128 6469 30 31 55 6 9 5587 5524 5676 5435 5854 5302 6121 5 I2 5 6476 3i 32 5569 5587 5523 5 6 79 5433 5858 5300 6126 5122 6482 32 33 5568 5588 5522 5681 543i 5862 5297 6131 5"8 6489 33 34 5568 5589 552i 5683 5430 5866 5294 6136 5"5 6496 34 35 55 6 7 5590 55 2 ° 5685 5428 5869 5292 6142 5112 6503 35 36 5567 559i 55i8 5688 5426 5873 5289 6147 5108 6509 36 37 5566 5592 55i7 5690 5424 5877 5286 6152 5 io 5 6516 37 38 5566 5593 5516 5 6 93 5422 5881 5284 6158 5101 6523 38 39 5566 5593 5515 5695 5420 5885 5281 6163 5098 6530 39 40 55 6 5 5594 5514 5 6 97 54i8 5889 5278 6168 5°95 6537 40 4i 5565 5595 55" 57°° 54i6 5893 5276, 6174 5 °2' 6544 4i 42 5564 5596 55" 5702 54H 5897 5273 6179 5088 6551 42 43 5564 5598 55io 5705 5412 5900 5270 6185 5084 6557 43 44 5563 5599 5509 5707 54io 5905 5268 6190 5081 6564 44 45 5562 5600 55°7 57io 5408 5909 5265 6196 5°77 6571 45 46 5562 5601 55° 6 5713 5406 5913 5262 6201 5°74 6578 46 47 556i 5602 5505 5715 5404 5917 5259 6207 5070 6585 47 48 556i 5603 5503 57.8 5402 592i 5 2 5 6 6212 5067 6593 48 49 5560 5604 55° 2 5720 5400 5925 5254 6218 5 o6 3 6600 49 5o 556o 56o5 55oi 5723 5398 5929 5251 6224 5060 6607 5° 5i 5559 5607 5499 5726 5396 5933 5248 6229 505 6 6614 5i 52 5558 5608 5498 5729 5394 5937 5245 6235 5053 6621 52 53 5558 5609 5497 5731 5392 5942 5242 6241 5049 6628 53 54 5557 561 1 5495 5734 5389 5946 5239 6246 5045 6635 54 55 555 6 5612 5494 5737 5387 5950 5237 6252 5042 6643 55 56 5556 5613 5492 5740 5385 5955 5234 6258 5038 6650 56 57 5555 5615 5491 5743 5383 5959 5231 6264 5°34 6657 57 58 5554 5616 5490 5745 538i 5963 5228 6269 5°3i 6665 58 59 5554 5618 5488 5748 5379 5968 5225 6275 5027 6672 59 K. M. Sin, Tan, Sin. Tan. Sin. Tan. Sin. Tan. Sin. Tan. 14 DAY USE RETURN TO DESK FROM WHICH BORROWED ENGINEERING LIBRARY This book is due on the last date stamped below, or on the date to which renewed. Renewed books are subject to immediate recall. JAN z yi96t JAlfetf 1971 JAN £0 1962 jAr/fctnaa —f»*r-mA m i 9^1966 JAN ££ 1970 JMd**ll970 WAR * fcjSB AUG 5 1970 OCT 2 8 1970 ^JlSiiofili U-iS^SSSrni. «&£»-£ tifi&Kl C03 °M 7a33 M37104 ©vfVSY hi>. THE UNIVERSITY OF CALIFORNIA LIBRARY