MATHEMATICAL TABLES; COMPRISING LOGARITHMS OF NUMBERS, iOGARIT.HMIC SINES, TANGENTS, AND SECANTS, NATURAL SINES, MERIDIONAL PARTS, DIFFERENCE OF LATITUDE AND DEPARTURE, ASTRONOMICAL REFRACTIONS, &c. STEHEOTYPii: EDITION. BOSTON, PUBLISHED BY CARTER AND HENDEE 1830. [ UNIVERSITY VOF r. . . BOSTON CLASSIC PRESS I. R. BUTTS. ADVERTISEMENT. THE Tables, comprised in this volume, have been very carefully compared with the best English and French Tables; and they will be found, it is believed, not inferior, in point of correctness, to any similar Tables in use. Prefixed is a short introduction, explanatory chiefly of the methods of using them. For information respecting the theory and construc- tion of logarithms, the student is referred to LACROIX'S ALGEBRA, (Cambridge translation,) to SMYTH'S ALGEBRA, and to the more extended English and French treatises. BOSTON, MAY, 1830. 11188 UNIVE INTRODUCTION. OF LOGARITHMS. THE LOGARITHMS of numbers are the exponents of the different powers to which a constant number must be raised, in order to be equal to those numbers; the principles, therefore, which apply to exponents in general, apply to logarithms. Hence, to multiply numbers, add their logarithms ; to divide, subtract the logarithm of the divisor from that of the dividend; to raise a number to any po\uer, multiply its logarithm by the exponent of that power ; and, to extract the root of a number to any degree, divide its logarithm by the number which denotes the degree of that root. The constant number upon which the tables iu common use are^Con- structed, and which is called the base of the tables, is 10. The logarithm of 1 or 10, is ; that of 10 or 10 1 , is 1 ; that of 100 or 10 2 , 2 ; that of 1000 or I'O 3 , 3, &c ; also, the logarithm of .1 or ICT 1 , is 1 ; that of .01 or 10~ 2 , 2; that of .001 or 10~ 3 , 3, &c : hence, the logarithms of the intermediate numbers, will consist of whole numbers and fractions, or of fractions only, if the number be greater than 1 and less than 10. The whole number is called the characteristic or index of the logarithm ; and, if positive, is always less by one than the number of places of integers in the corresponding number ; but if negative, it is equal to the number of places by which the first significant figure of its corresponding decimal is removed from the place of units ; or, universally, the characteristic of a logarithm marks the place of the first significant figure of its corresponding number from the place of units. It is evident, moreover, that as the log- arithms of numbers, which are tenfold, the one of the other, do not differ except in their characteristics, it is sufficient that the tables contain the fractional parts only of the logarithms. There is, indeed, a decided ad- vantage in excluding the characteristic ; since, for example, the logarithm ,of 20, which equals 1. 3010300, (the fractional parts of the logarithms being always expressed in the tables by decimals,) becomes, by increasing its characteristic successively by 1, that of 200, 2000, 20000, &c; or by diminishing its characteristic in a similar manner, that of 2, .2, .02, .002, &c. To FIND THE LOGARITHM OF A NUMBER. 1. If the given number be entire, and less than 100, find it in one of the columns, marked No. in the small table of the logarithms of numbers, and directly on the right will be found its logarithm ; thus, the logarithm of 67 is 1.8260748. 2. If the number consist of three figures, whether entire, mixed, or decimal, find it in the first column of the larger table, and in the next col- umn on the right will be found the decimal part of its logarithm, to which prefix the proper characteristic. If the number consist of four figures, find the first three in the first column, and the fourth at the top, and the corresponding logarithm, with the exception of the characteristic, will be found on a line with the first three, and directly below the last. Thus, the logarithm of 4783 is 3.6797004. That of 5159 is 3.7125655. 3. If the given number contains five or more places, its logarithm may be found in the following manner. Suppose the logarithm of 698262 be required. First, find the logarithm of 698200 = 5,8439798, which does not differ from that of 6982, except in the characteristic* ; then find the logarithm of 698300 = 5.8440420. The former is evidently less, and the latter greater, than the logarithm of 698262. The difference of the numbers 698200 and 698300, is 100, and the difference of their loga- rithms, found in the column marked Dif. is .000622 ; the difference of the numbers 698200 and 698262, is 62 : wherefore, if for an increase of the number by 100, the logarithm increase by .000622, for an increase of the number by 62, the logarithm ought to be increased by -^ of .000622 = .0000386 ; this, added to the logarithm of 698200, gives 5.8440184, the logarithm required.* In like manner, the logarithm of 8734,583 is that of 8734000, increased by T 6 ~ 7 of the difference between the logarithms of 8734000 and 8735000. This process of finding the logarithms of large numbers supposes that they increase in the same ratio as their numbers, which is not strictly true, though sufficiently near the truth for general practice. It may be remarked, however, that these ratios approach that of equality, the larger the num- bers, and the less they differ from each other. 4. If the given number be a fraction, since a fraction represents the di- vision of the numerator by the denominator, its logarithm will be found by subtracting the logarithm of the denominator from that of the numerator. But the logarithm of 1 being 0, that of a fraction less than unity, will be negative. " Thus, the logarithm of = 0.3010300 0.4771213= 0.1760913 : or the characteristic only may be made negative by adding to the logarithm of the numerator 1 + 1 , 2+2, &c, which does not alter its value, and then subtracting from the positive part the logarithm of the denominator. By this method, the logarithm of | = 1+1 . 3010300 0.4771213 = 1.+8239087 ; or, as it is usually written, T.8239087, the sign being placed over the characteristic ; and this expression re- duced, will be the same as that first obtained. But the logarithm of a fraction is susceptible of a different and more convenient form. If to the logarithm 1.8239087 we add 10, (or, which amounts to the same thing, add 10 to that of the numerator, previously to subtraction,) it becomes 9.8239087. Now this form is perfectly con- venient for use, and will produce no confusion, if we recollect that this logarithm is too great by 10. To apply this method to decimal fractions, observe, for example, that the logarithm of .2=1.3010300; that of .02 = 2.3010300; that of ,002 = 3.3010300, &c ; then, increasing the characteristics, each by 10, we have the logarithm of .2 = 9.301 0300 ; that of .02 = 8.3010300 ; that of .002 = 7.3010300. Hence, the logarithm of a decimal fraction *As the differences in the column of differences do not always correspond exactly to the differences of all the successive logarithms in the line against which they are placed ; when great accuracy is required, it may be necessary, particularly in tke first part of the able, to take the difference between the two tabular logarithms. does not differ from that of a whole number consisting of the same figures,- except in its characteristic, which, in this form, is always 10, wanting as many units as are equal to the number of places by which the first signifi- cant figure of the decimal is removed from the decimal point. But it must be recollected that these logarithms are each too great by 10 ; and, consequently, that in those operations in which they may have been used, if the resulting logarithm contains tens, these tens must be discarded. Sup- pose, for example, it were required to raise .2 to the second power. The logarithm of .2 = 9.3010300; this multiplied by 2 gives 18.6020600; from which if 10 be subtracted, we have 8.6020600, the logarithm of .04. 5. Having a logarithm, to find its corresponding number. Look in the table for the decimal part of the logarithm^and against it in the column marked No. will be found the first threap and, directly above it in the upper space, the fourth figure^ of the nurrTber required, the order of units being determined by tfre"'l!Tiaracteristic. Suppose the given logarithm/~37$332457"7 the corresponding number is 2154/ Had the characteristic been 3^ the number would have been 215400. Had it been 2, or 8, (10 having been added,) the number would liave been .02154. 6. If the decimal part of the logarithm be not found exactly in the table,, the method of obtaining the number will be the reverse of that in Art. 3. "** Suppose the given logarithm is 5.734300.3 ; the next less logarithm^ corresponding to the number 542300, is 5.7342396.; the next greater logarithm, corresponding to the number 542400, is 5.7343197. difference of these logarithms is .0000801, and the difference of their corresponding numbers 100; the difference between the less logarithm and that given, is .0000607 ; wherefore j"of 100 = 74.5 is t6 be adcled to 542300, which gives 9^*2374.5, the number required. 7. If a logarithm be wholly negative, or with a negative' characteristic only, its corresponding number is a fraction ; 10 therefore is to be added, then the difference between the positive and negative parts taken, and the remainder is the logarithm of the number required. Suppose the given logarithm 0.8440570. Add 10 and reduce, and the log. becomes 9.1559430, the number corresponding to which is .1432, 8. Arithmetical Complement. Suppose it were required to divide 75 by 15 ; the result would evidently be the same if 75 were multiplied by -fj ; instead, therefore, of subtracting the logarithm of 15 from that of 75, we may add to the latter the logarithm of Jy. The logarithm of T V = log. of 1 log. of 15 ; but the logarithm of 1, being 0, may be expressed by 1-f-l , 2 -f- 2, &c. or, as is usually done for the sake of uniformity, by 1 -(-10 ; and in the operation, the 10, provided we subtract 10 after- wards, may be omitted. This logarithm is called the arithmetical comple- ment of the logarithm of 15. The arithmetical complement of the logarithm of a number is therefore found by subtracting the logarithm of that number from 10. The logarithm of 15= 1.1760913, which subtracted from 10, leaves 8.8239087, the arithmetical complement of the logarithm of 15 f this added to the logarithm of 75= 1.8750613, gives 10.6989700; subtract 10, and the remainder is 0.6989700 the logarithm of 5. It will readily be perceived from the foregoing example, that when a question involves several mul- tiplications and divisions, the whole may be performed by the addition of logarithms* TABLE OF LOGARITHMIC SINES, &LC. ^This table contains the logarithms of those numbers which express the values of the sines, tangents, &c., to degrees and minutes, radius being considered 10 000000 000, the logarithm of which is 10.* It is to be observed that any angle and its supplement, or what it wants of 180, have the same sine, tangent, &c., and that the sine, tangent, and secant of any angle are the same respectively as the cosine, cotangent and cosecant of its complement, or what it wants of 90. Thus the sine of 24== sine of 156 = cosine of 66 = cosine of 114. 1. To obtain the logarithmic sine, tangent, $r, to an arc or angle con- taining degrees and minutes. If the number of degrees be less than 45 and greater than 135, find the degrees and name, sine, cosine, &c, at the top of the page, and the minutes in the column of minutes directly below the degrees ; but if the number of degrees be greater than 45 and less than 135, find the degrees and name at the bottom 5 then on a line with the minutes, and below or above the name, as the case may be, will be found the logarithmic sine, cosine, &c., required. For example, the sine of 25 33' = 9.6347780 ; tangent of 146 35' = 9.8194096. 2. If the given^angle contain degrees, minutes, and seconds, take frac- tional parts of the difference, found in the column of differences, as was done in finding the logarithms of large numbers, and add these fractional parts to the logarithmic sine, &c, corresponding to the degrees and minutes only, or subtract them from it ; adding when ^he logarithmic sines, &ic, increase as the angles increase, and subtracting when they diminish as the angles increase. To find, for example, the sine of 15 12' 13". The logarithmic sine of 15 12' = 9.4186148. To this add of .0004647 = .0001007, which gives 9.41 87155, = the sine of the angle required. To obtain the cosine of 31 16' 12". The cosine of 31 16' = 9.9318447. From this subtract f = of .0000768, which gives 9.9318294, the cosine required. 3. To obtain the degrees, minutes, and seconds, corresponding to any given logarithmic sine, cosine, fyc. If the logarithmic sine be found exactly in the table, the degrees will be seen at the top or the bottom, according as the denomination sine, he, is found at the top or the bottom, and the minutes in the column of minutes, directly below or above the degrees, and on a line with the given sine, &c. Thus, let the log. sine be 9.8345948 ; the corresponding angle will be 43 Q 6', or its supplement 136 54'. If the logarithmic sine, &LC, be not contained exactly in the table, find the next greater, and the next less, and observe the difference between them in the column of differences ; then take the difference between the given logarithmic sine, &c., and that which corresponds to the less number of degrees and minutes; make the former of these differences the denom- inator, and the latter the numerator of a fraction ; this fraction will express the part of 1' or 60", which is to be added to the less number of degrees and minutes. Given the logarithmic sine = 9.4593734. The next less, Corresponding to 16 Q 44' is 9.4592684; the next greater, corresponding to 16 45', is 9.4596884; their difference, .0004200. The difference between the given sine and that of 16 44', is .0001050; consequently 050 ^ j. O f 6 o" = 15", added to 16 44', gives 16 44' 15", the angle required. On the first page of the tables will be found a table of logarithmic sines, &c, to the points and quarter points of the compass, the use of which is in all respects the same as that of the table just described. TABLE OF NATURAL SINES. This table contains the numerical values of the sines and cosines to every degree and minute of the quadrant, expressed in decimals, radius being considered equal to unity. It is evident that these values may be adapted to any other radius. For instance, if radius be supposed equal to 10 000 000, these values will be integers. The method of finding the sine, or cosine corresponding to any given number of degrees, minutes, and seconds, and the reverse, in this table, is simnar to that given for finding logarithmic sines, &c. except that if the angle exceed 90, we first find its supplement, and then the sine or cosine of this supplement. It is to be observed, however, that if the denomination and degrees are found at the top of the page, the minutes must be sought in the column on the left ; if at the bottom, in the column on the right. Example 1. Sine 19 25' = .3324355. " 2. Sine of 159 30' = sine 20 = .3502074. j?' TABLE OF MERIDIONAL PARTS. This table contains, in geographical miles, the values of meridional arcs, to degrees and minutes, according to the principles of Mercator's chart. The method of using it will be sufficiently illustrated by the following examples. 1. Required the meridional parts for 12 15'. Look for the degrees at the top or bottom of the page, and the minutes in the column on the right or left, and below or above the former, and opposite the latter, will be found, 741, the meridional parts required. 2. Required the meridional difference of latitude between Washington, in latitude 38 53', N., and Boston, in latitude 42 23', N. Latitude of Boston 42 23'. Meridional parts 2813 Latitude of Washington 38 53'. Meridional parts 2536 Meridional difference of latitude 277 3. Required the meridional difference of latitude between New York, in latitude 40 42' N., and Buenos Ayres, in latitude 34 37' S. Latitude of New York, 40 42' N. Meridional parts 2678 Latitude of Buenos Ayres, 34 37' S. Meridional parts 2216 Meridional difference of latitude 4894 It is to be observed that when the two places are on the same side of the equator, the meridional difference of latitude is equal to the difference of the meridional parts corresponding to the latitudes ; but, when the places are on opposite sides of the equator, that it is equal to the sum of these parts. 10 TABLE OF DIFFERENCE OF LATITUDE AND DEPARTURE", OR TRAVERSE TABLE. This table contains the difference of latitude and departure, to points, quarter points, and degrees of the quadrant ; and though concise, furnishes results equally accurate with those obtained from more extended table?. The distances, from 1 to 10, will be seen at the top and bottom of the table, and, when necessary, they may be considered as tens, hundreds, thousands, &tc ; in which case the corresponding difference of latitude and departure are to be increased in the same ratio. Moreover, if the course be found on the left, the denominations, Lat. and Dep. are to be sought at the top of the page ; if on the right, they are to be sought at the bottom ; then, on a line with the course, and directly below or above the distance, will be found the corresponding difference of latitude and depar- ture. Examples. 1. Let the course be 34, and distance 9; the correspond- ing dif. lat. is 7.4613, and dep. 5.0327. 2. Let the given distance be 3256, and course 31. The dif. lat. for 3000 = 2571.5 Dep. 1545.1 " " " " 200= 171.43 " 103.01 " " " " 50= 42.858 " 25.752 " " " " 6 = 5.1430 " 3.0902 Dif. lat. required, 27909310. Dep. 1676.9522 Tt is to be observed that when the given distance, as in the last exam- ple, consists of units of different orders, the difference of latitude, or de- parture required, is the sum of the differences of latitude, or departures, corresponding to the several parts of this distance. TABLE OF MEAN ASTRONOMICAL REFRACTIONS, AND THE SUN'S PARALLAX. This table contains refractions for every degree of altitude or zenith distance, when the barometer is at 30 inches, and Fahrenheit's thermom- eter at 55, or when the barometer is at 29.6, and thermometer at 50 ; with the corresponding variations for y^ of an inch in the barometer, and 20 degrees of the thermometer. Its use will be readily understood from an example, if it be recollected that refraction is increased by cold and greater density, and diminished by heat and greater rarity. Let the refraction be required for the apparent altitude 50, when the barometer is at 30.2 inches, and the thermometer at 60. The mean refraction for the altitude 50 is 0' 48" .1 ; the variation for T 9 T inch of the barometer, is I" A, f of which is 0".3 ; this, as the barometer is above 30 inches, is to be added to the mean refraction ; the variation for 20 of the thermometer is 2",2 ; for 5, therefore it is 0",55, which, as the thermometer is higher than 55, is to be subtracted ; consequently, 48". 1 + 0".3 0".55 = 0' 47".85, the refraction required. Connected with the table above described, will be seen the sun's parallax ; and on the first page of the tables, a table of the miles and parts of a mile in a degree of longitude, at every degree of latitude ; but the use of these will be sufficiently manifest without explanation. TABLES. LOGARITHMIC SINES, &c. TO EVERY POINT COMPASS. AND QUARTER POINT OF THE Points Sine. . Co-sine. Tangent. Co-tangent. Secant. Co-secant. Points Inf. Neg. 8.6907955 8.9913020 9.1665203 10.0000000 9.9994766 9.9979037 9.9952738 Inf. Neg. 8.6913189 8.9933983 9.1712465 Infinite. 11.3086811 11.0066017 10.8287535 10.0000000 10.0005234 10.0020963 10.0047262 Infinite. 11.3092045 11.0086980 10.8334797 8 7| 7i 7| 1 12 l| 9.2902357 9.3855708 9.4628241 9.5274879 9.9915739 9.9867857 9.9808849 9.9738407 9.2986618 9.3987851 9.4819393 9.5536473 10.7013382 10.6012149 10.5180607 10.4463527 10.0084261 10.0132143 10.0191151 10.0261593 10.7097643 10.6144292 10.5371759 10.4725121 7 2 | 9.5828397 9.6309921 9.6733866 9.7110499 9.9656153 9.9561633 9.9454298 9.9333499 9.6172243 9.6748288 9.7279568 9.7777000 10.3827757 10.3251712 10.2720432 10.2223000 10.0343847 10.0438367 10.0545702 10.0666501 10.4171603 10.3690079 10.3266134 10.2889501 6 3 9.7447390 9.7750271 9.8023586 9.8270841 9.9198464 9.9048278 9.8881854 9.8697896 9.8248926 9.8701993 9.9141732 9.9572946 10.1751074 10.1298007 10.0858268 10.0427054 10.0801 53f> 10.0951722 10.1118146 10.1302104 . 10.2552610 10.2249729 10.1976414 10.1729159 5 4 9.8494850 9.8494850 10.0000000 10.0000000 10.1505150 10.1505150 4 Points Co-sine. Sine. Co-tangent. Tangent. Co-secant. Secant. Points THE MILES AND PARTS OF A MILE IN A DEGREE DEGREE OF LATITUDE. OF LONGITUDE AT EVERY D.L. Miles. D.L, Miles. D.L. Miles. D.L. Miles. D.L. Miles. D.L. Miles. D.L. Miles. 1 2 3 4 5 6 7 59.99 59.96 59.92 59.85 59.77 59.67 59.55 14 15 16 17 18-. 19 ,20 58.22 57.95 57.68 57.38 57.06 56.73 56.38 27 28 29 30 31 32 33 53.46 52.98 52.48 51.96 51.43 50.88 50.32 40 41 42 43 44 45 46 45.96 45.28 44.59 43.88 43.16 42.43 41.68 53 54 55 56 57 58 59 36.11 35.27 34,41 33.55 32.68 31.80 30.90 66 67 68 69 70 71 72 24.40 23.44 22.48 21.50 20.52 19.53 18.54 79 80 81 82 83 84 85 11.45 10.42 9.39 8.35 7.31 6.27 5.23 8 9 10 11 12 13 59.42 59.26 59.09 58.90 58.69 63.46 21 22 23 24 25 26 56.01 55.63 55.23 54.81 54.38 53.93 34 35 36 37 38 39 49.74 49.15 48.54 47.92 47.28 46.63 47 48 49' 50 51 52 40.92 40.15 39.36 38.57 37.76 S6.-94 60 61 62 63 64 65 30.00 29.09 28.17 27.24 26.30 25.36 73 74 75 76 77 78 17.54 16.54 15.53 14.52 13.50 12.47 86 87 88 89 90^ 4.19 3.14 2.09 1.05 0.00 LOGARITHMS OF NUMBERS, FROM 1 TO 100. No. Log. ; .No. Log. - No. Log. No. Log. No. Log. 1 2 3 4 5 0.0000000 0.3010300 0.4771213 0.6020600 0.6989700 21 22 23 24 25 1.3222193 .3424227 .3617278 .3802112 .3979400 41 42 43 44 45 .6127839 .6232493 .6334685 . .6434527 1.6532125 61 62 63 64 65 1.7853298 1.7923917 1.7993405 1.8061800- 1.8129134 81 82 83 84 85 .9084850 .9138139 .9190781 .9242793 .9294189 6 7 8 9 10 0.7781513 0.8450980 0.9030900 0.9542425 1.0000000 26 27 28 29 30 .4149733 .4313638 .4471580 .4623980 .4771213 46 47 48 49 50 .6627578 .6720979 .6812412 .6901961 .6989700 66 61 68 69 70 1.8195439 1.8260748 1.8325089 1.8388491 1.8450980 86 87 88 89 90 1.9344985 1.9395193 1.9444827 1 .9493900 1.9542425 11 12 13 14 15 1.0413927 1.0791812 1.1139434 1.1461280 1.1760913 31 32 33 34 35 .4913617 .5051500 .5185139 .5314789 .5440680 51 52 53 54 55 1.7075702 1.7160033 .7242759 .7323938 .7403627 71 72 73 74 75 1.8512583 1.8573325 1.8633229 1.8692317 1.8750613 91 92 93 94 95 1.9590414 .9637878 .9684829 .9731279 .9777236 16 17 18 19 20 1.2041200 1.2304489 1.2552725 1.2787536 1.3010300 36 37 38 39 40 1.5563025 .5682017 .5797836 1.5910646 1.6020600 56 57 58 59 60 1.7481880 1.7558749 1.7634280 1.7708520 1,7781513 76 77 78 79 80 1.8808136 1.8864907 1.8920946 1.8976271 1.9030900 96 97 98 99 100 .9822712 .9867717 .9912261 .9956352 2.0000000 LOGARITHMS OF NUMBERS, FROM 1 TO 10,000. No. O 1 2 3 4 5 6 7 8 9 Dif. J 100 3000000 3004311 008677 0013009 0017337 30216(51 0025980 3030295 3034605 038912 4324.1 101 XM3214 3017512 051805 005(509 i. 0060380 D064660 068937 3073210 3077478 081742 280 I 102 103 104 D086002 0128372 )17033f3 3090257 3132587 3174507 091509 13(5797 0098756 0141004 0182843 0103000 0145205 01870Q5 107239 119403 191163 111171 153598 195317 115704 151788 199467 3119931 3161974 203613 124154 166155 207755 1239 I 1198 1 1158 4 105 )211893 0216027 220157 0224.284 0228106 232525 236639 240750 244857 248960 119 I 106 107 108 M9>838 0257154 0297895 3338257 301918 342273 0265333 0305997 0346285 0269416 03] 0043 0350293 273496 314085 354297 277572 318123 358298 1)281644 322157 362295 285713 326188 366289 289777 330214 370279 1080 1 4012 I 400411 109' 3374265 0378,248 382226 0386202 0390173 394111 398106 402066 406023 109977 3968 & 110 111 0443927 0417873 0157141 04.21816 461048 0425755 0164952 0429691 0468852 133623 0472749 131551 17Hl2. 141476 445398 484418 149315 0488301 3932 1 3897 1 112 0491180 113 05. ;()-/.! 4 049605(5 0531626 0499929 538461 0503798 0542299 0507663 0546131 J511525 549959 515384 553783 55*7605 523091 5(51423 526939 565237 3862 I 3828 | 114 0572856 576661 0580462 0584260 0588055 591846 595631 599419 060320'0 3795 IE 115 0610753 614525 0618293 625820 629578 633331 637086 640834 3762 I 1J6 147 0644580 0648322 0685509 652061 689276 0(555797 0692980 0659530 0696681 663259 0700379 0666986 0704073 670709 707765 674428 711453 678145 715138 3729 I 3698 I 118 0718820 072-2499 0726175 0729847 0733517 0737184 0740847 0744507 748164 751819 3667 1 119 0755470 0759118 0762763 0766401- 0770043 0773(579 0777312 0780942 0784568 788192 3636 1 120 0791812 0795430 0799045 0802656 0806265 0809870 0813473 0817073 0820669 0824263 3605 121 0827854 0831441 0835026 0838608 0842187 0845763 0819336 0852906 0856473 0860037 3576 122 0863598 0867157 0870712 0874265 0877814 0881361 0884905 (888446 0891984 0895519 3547 123 0899051 0902581 0906107 0909631 0913152 0916670 0920185 0923697 0927206 0930713 3518 124 0934217 0937718 0941216 0914711 0948204 0951694 0955180 0958665 0962146 0965624 3490 125 0969100 0972573 0976043 0979511 0982975 0986437 0989896 0993353 0996806 1000257 3462 126 1003705 1007151 1014034 1017471 020905 1024337 1027766 103LJ93 1034616 3434 127 1038037 1041456 014871 1048284 1051694 055102 1058507 1061909 1065309 1068705 3408 128 1072100 1075491 1078880 1082267 1085650 osljo'si 1092410 1095785 1099159 1102529 3381 129 1105897 1109262 1112625 1115985 1119343 1122698 1126050 1129400 1132747 1136092 3355 130 1139434 1142773 1146110 1149444 1152776 1156105. 1159432 1162756 1166077 1169396 3329 1 131 117271; 1 , 1176027 1179338 1182647 1185954 1189258 1192559 1195858 1199154 1202448 3304 132 1205739 J20 ( )(}22( 1690864 1693805 169674 1699682 2945 148 1702617 1705551 170!JU';2 1711412 17 i4339 1717265 1720188 1723110 172602 1728947 2926 149 1731863 IT&BSi 1737588 1740598 1743501 1746412 1749316 1752218 175511 1758016 2906 150 1760913 176^! 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217747 218010C 218272S 218535 218798 219060 2193225 219584 2198464 2625 166 2201031 2203(59 220631C 2208922 221153 221414 2216750 2219356 222196 2221563 2609 161 ,222716.' 222976 223236J 2234951; 223755 22-10148 224274C 224533 224792 2250507 2593 168 2253093 i 225567 2258261 2260841 226342 226599 226857 227115 22737-2 2270296 2578 161 2273867 1 228143 228400' 228657C 228913 229169 2294258 229681 229937 2301934 2563 LOGARITHMS No. O 1 2 3 4 6 6 7 8 9 Dif. 170 2304489 2307043 2309596 2312146 2314696 2317244 2319790 2322335 2324879 2327421 254-8 171 2329961 2332500 2335038 2337574 2340108 2342641 2345173 2347703 2350232 2352759 2533 172 2355284 2357809 2360331 2362853 2365373 2367891 2370408 2372923 2375437 2377950 2518 173 2380461 2382971 23854f9 2387986 2390491 2392995 2305497 2397998 2400498 2402996 2504 174 2405492 2407988 2410482 2412974 2415465 2417954 2420442 2422929 2425414 2427898 2489 175 2430380 2432861 2435341 2437819 2440296 2442771 2445245 2447718 2450189 2452658 2475 175 2455127 2457594 2460059 2462523 2464986 2467447 2469907 2472365 2474823 2477278 2461 177 2479733 2482186 2484637 2487087 2489536 2491984 2494430 2496874 2499318 2501759 2448 178 2504200 2506639 2509077 2511513 2513949 2516382 2518815 2521246 2523675 2526103 2433 179 2528530 2530956 2533380 2535803 2538224 2540645 254-3063 2545481 2547897 2550312 2421 180 2552725 2555137 2557548 2559057 2562365 2564772 2567177 2569582 2571984 2574386 2407 181 2576786 2579185 2581522 2583978 2586373 2588766 2591158 2593549 2595939 2598327 2393 182 2600714 2603099 26054714 2607867 2610248 2612629 2615008 2617385 2619762 2622 fS7 2381 183 184 2624511 2648178 2626883 2650538 2629255 2652896 2631625 2655253 2633993 2657609 2636361 2659964 2638727 2662317 26.41022 2664669 2643455 2667020 2645817 2669369 2368 2355 185 26 r 71717 2674064 2676410 2678754 2681097 2683439 2685780 2688119 2690457 2692794 2342 186 2695129 269746^ 2699797 2702129 2704459 2706788 2709116 2711443 2713769 2716093 2329 187 2718416 2720738 2723058 2725378 2727696 2730013 2732328 2734643 2736956 2739268 2317 188 2741578 2743888 2746196 2748503 2750809 2753114 2755417 2757719 2760020 2762320 2305 189 2764618 2766915 2769211 2771506 2773800 2776092 2778383 2780673 2782962 2785250 2292 190 2787536 2789821 2792105 2794388 2796669 2798950 2801229 2803507 2805784 2808059 2281 191 2810334 2812607 2814879 2! 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No. 1 2 3 4 5 6 7 8 9 Uttdl 240 3802112 3803922 3805730 3807538 3809345 3811151 3812956 3814761 3816565 1806 1 241 3820170 3821972 3823773 3825673 3827373 3829171 3830969 3832767 3834563 24.2 3838154 3839918 3841741 3843534 3845326 3847117 3848908 3850698 3862487 1791 E 243 3856063 3857850 3859636 38614*1 3863206 3864990 3866773 3868555 3870337 214 3873898 3875678 3877457 3879235 3881012 3882789 3884565 3886340 3888114 245 3891661 3893433 3895205 3896975 3898746 3900515 3902284 390-1052 3905819 246 3909351 3911116 3912880 3914644 3916407 3918169 3919931 3921691 3923452 247 3926970 3928727 3930485 3932241 3933997 3935752 3937506 3939260 3941013 248 391-1517 3946268 3948018 3949767 3951516 3953264 3955011 3956758 3958504 249 3961993 396~3737 3965480 3967223 3968964 3970705 3972446 3974185 3975924 3977663 250 3979400 3981137 3982873 3981608 3986343 3988077 3929811 3991543 3993275 251 252 39U6737 10 14005 3998467 4015728 400W96 4017451 4001925 4019173 4003653 4020894 4005380 4022614 4007106 4024333 4008832 4026052 4010557 4027771 253 4031205 4032921 4034637 4036352 4038066 4039180 4041492 4043205 4044916 254 4048337 4050047 4051755 4053-164 4055171 4056878 4058584 4060289 4061994 255 4065402 4067105 4068807 4070508 4072209 4073909 4075608 4077307 40790(5 256 4082400 4084096 4085791 4087486 4089180 4090874 4092567 4094259 4095950 1694 257 1099331 4101021 4102710 4104398 4106085 4107772 4109459 4111144 4112829 16m J 258 4116197 4117880 4119562 4121244 4122925 4124605 4126285 4127964 4129643 1680 1 259 4132998 4134674 4136350 4138025 4139700 4141374 4143047 4144719 4146391 1674 2GO 4149733 4151404 4153073 4151742 4156410 4158077 4159744 4161410 4163076 261 4166405 4168069 4169732 4171394 4173056 4174717 4176377 4178037 4179696 262 4183013 4184670 4186327 4187983 4189638 4191293 4192947 4194601 4196254 263 4199557 4201208 4202859 -1201509 4206158 4207806 4209454 4211101 4212748 264 4216039 4217684 4219328 4220972 4222615 4224257 4225898 4227539 4229180 265 4232459 4234097 4235735 4237372, 4239009 4240645 4242281 4243916 4245550 266 4248816 4250449 4252081 4253712 4255342 4256972 4258601 4260230 4261858 ^267 4265113 4266739 4268365 4269990 4271614 42,73238 4274861 4276484 4278106 268 4281348 4282968 4284588 4286207 4287825 4289443 4291060 4292677 4294293 269 4297523 4299137 4300751 4302364 4303976 4305588 4307199 4308809 4310419 270 4313638 4315246 4316853 4318460 4320067 4321673 4323278 4324883 4326487 271 4329693 4331295 4332897 4334498 4336098 4337698 4339298 4340896 4342495 4.;44%; 272 4315689 4347285 4348881 4350476 4352071 4353665 4355259 4356851 4358444 4360(11 273 4361626 4363217 4364807 4366396 4367985 4369573 '1371161 4372748 4374331 274 4377506 4379090 4380675 4382258 4383841 4385423 4387005 438a*31 1208 360 5563025 5564231 5565437 5566643 5567848 5569053 5570257 557146 557266 557386 1205 361 5575072 5576275 5577477 5578680 5579881 5581083 5582284 5583485 558468 558588 1202 362 5587086 5588285 5589484 5590683 5591882 5593080 5594278 559547 559667 559787 1198 363 5599066 5600262 5601458 5602654 5603849 5605044 5606,239 5607433 5G0862 560982 1195 364 5611014 5612207 5613399 5614592 56157.84 5616975 5618167 561935 562054 562173 1193 365 5622929 5624118 5625308 5626497 5627685 5628874 5630062 563125 563243 563362 1187 366 5634811 5635997 5637183 5638369 5639555 5640740 564192o 564310 564429 564547 1185 36" 5646661 5647844 5649027 5650209 5651392 565257 565375o 565493 565611 565729 1181 368 5(558471' 5659658 5660838 5662017 566319f 566437 5665553 566673 566790 566908 1179 369 5670264 5671410 5672617 5673793 5674969 5676144 5677320 567849 567966 568084^ 1175 370 5682017 5683191 5684364 5685537 5686710 568788 568905 569022 569139 569256 1172 371 .5693739 5694910 5696080 5697249 5698419 569958 570075 570192 570309 570426 1169 372 5705429 5700597 5707764 5708930 5710097 571126 571242 571359 571475 571592 1166 373 5717088 5718252 5719416 5720580 5721743 572290 572406 572523 572639 572755 1163 37' 5728716 5729877 5731038 5732198 5733358 573451 573567 573683 573799 573915 1160 37. 571031; 5741471 5742628 5743786 5744943 574609 574725 574841 574956 575072 1156 37 515KJ7J 5753033 5754188 5755342 575649 5757650 575880 5759956 576110 576226 1154 377 5763414 576456 5765711 576686 576801 576917 577032 577147 577262 577376 1151 37 5774-918 57760(57 577721 577836 577951 578065 578180 578295 578410 5785246 1148 37 5786392 5787538 578868S 578982 579097 579211 579326 5794406 579555 579669 11145 OF NUMBERS. No O 1 2 3 4 5 6 7 8 1 9 ! 38( 5797836 5798979 5800121 5801263 5802405 5803547 5804688 5805829 381 .5809250 5810389 5811529 5812668 5813807 5811945 5816084 5817222 382 5820634 5821770 5822907 5IJ2-101.3 5825179 5826314 582858. | /-,!{ !! 383 5831988 5833122 5834255 5835388 5836521 5837654 5838786 583991 f 584 384 5843312 581.111:} 5845574 5846704 5847834 5848963 5850093 5851222 5.":. 385 5854607 5855735 5856863 5857990 5859117 5860244 5861370 58624U( i 386 5865873 5866998 5868123 5869247 5870371 5871495 5872618 58737! 387 5877110 5878232 5879353 5880475 5881596 5882717 5883838 5884958 388 5888317 5889436 5890555 5891674 5892792 5893910 5895028 5896145 :.- 389 5899496 5900612 5901728 5902844 5903959 5905075 5906189 5907304 5! 390 5910646 5911760 5912873 5913986 5915098 5916210 5917322 591,8434 5! 391 5921768 5922878 5923988 5925098 5926208 5927318 5928427 5929536 5! 392 5932861 5933968 5935076 5936183 5937290 5938397 5939503 5940609 51-U715 59 393 59-13926 594,5030 5946135 5947239 5948344 5949447 5950551 5951654 . 394 395 5954962 5965971 5956064 59670*70 5957166 5968169 59582(58 5969268 5959369 5970367 5960470 5971465 5961571 5972563 5962671 5973661 59 59 396 5976952 5978048 5979145 5980241 5981336 5982432 5983527 5984622 . :. 397 5987905 5988999 5990092 5991186 5992279 5993371 5994464 5995556 398 5998831 5999922 6001013 6002103 6003193 6004283 6005373 6006462 60 399 6009729 6010817 6011905 6012993 6014081 6015168 6016255 6017341 ; 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'5 9527440 9532280 9537114 9541943 487 487 486 486 485 485 485 484 484 483 898 899 9537597 900 901 902 903 904 90S 906 908 909 95904) 1 9542908 9517730 9552547 9557358 9562165 9566966 9571761 9576552 9581337 9586117 9543390 9548212 9553028 9557839 J562645 J567445 J572241 J577030 9581815 9586594 95-43873 9548694 9553510 9558320 9563125 9567925 9572720 9577509 9582293 9587072 9544355 9549176 9553991 9558801 9563606 9568405 9573199 9577988 9582771 9587549 9544837 9549657 95541-72 9559282 9564086 9568885 9573678 9578466 9583249 9588027 9545319 9550139 9554953 9559762 9564566 9569364 9574157 9578945 9583727 9588505 9545802 9550621 9555434 9560243 9565046 9569844 9574636 9579423 9584205 958898,2 9546284 9551102 9555916 9560723 9565526 9570323 9575115 9579902 9584683 9589459 9546766 9551584 9556397 9561204 9566006 9570803 9575594 9580380 9585161 9589937 482 482 481 4-80 480 479 479 479 478 478 910 911 913 914 9590891 9595660 9600425 9605183 9609937 9614686 9619429 9624167 9(528900 9633628 9591368 9596137 J600901 J605659 J610412 9615160 J619903 962464-0 9629373 J634100 9591845 9596614 9601377 9606135 9610887 9615635 9620377 9625114 9629846 9634573 9592322 9597090 9601853 9606610 9611362 J616109 9620851 9625587 9630319 9635045 9592800 9597567 9602329 9607086 9611837 9616583 9621325 9626061 9630792 9635517 9593276 9598043 9602805 9607561 9612312 9617058 9621799 9626534 9631264 9635990 9593753 9598520 9603281 9608036 9612787 9617532 9622272 9627007 9631737 9636462 9594230 9598996 9603756 9608512 9613262 9618006 9622746 9627481 9632210 9636934 9594707 9599472 9604232 9608987 9613736 961848] 9623220 9627954 9632683 9637406 477 476 476 475 475 475 474 473 473 472 472 472 471 470 470 469 469 468 68 467 <,'-'" 926 927 928 929 930 931 932 933 934 935 9670797 9680157 )638350 9643068 9647780 9652488 ! <657190 9661887 9666579 %71266 "9 .75948 9680625 9638822 9643539 9648251 )652958 9657660 9662356 9667048 9671734 96764\6 9681092 9639294 9644011 9648722 9653428 9658130 9662826 9667517 9672203 9676884 9681559 9639766 9644482 9649193 J653899 9658599 9663295 9667985 9672671 J677351 J682027 9686697 9691362 9696023 9700678 9705328 9709974 9714614 9719249 9723880 9728506 J640238 J644953 9649664 9654369 9659069 9663764 9668454 9673139 9677819 9682494 9640710 9645425 9650135 9654S39 9659539 9664233 9668923 9673607 9678287 9682961 9641181 9615896 9650605 9655309 9660009 9664703 9669392 9674076 9678754 9683428 9641653 9646367 9651076 9655780 9660478 9665172 9669860 9674544 9679222 9683895 9642125 9646838 9651546! )656250: WG0948 : (665641 J67Q329 J675012! 1679690 96843621 9684S29 9689497 9694159 9703469 9708116 !)( 185296 1 if 89963 91625 9699282 9703934 9708581 13222 27118 0685763 J690430 J695091 J699747 9704399 9709045 J713686 9718323 J727581 %86230 9C90896 9695557 9700213 J704H63 9709509 9714150 T718786 9723417 9728043 9687164 9691829 9696488 9701143 9705793 9710438 9715078 9719713 9724343 9728968 9687630 9692295 9696954 9701608 9706258 9710902 9715542 9720176 J724805 9729430 9688097 9692761 9697420 9702074 9706722 9711366 )7i6nor 1 9688564 J693227 )697885 9702539 9707187 )711830 3730354 1 9689030, 9693693 ; 9698351 9703004 9707652 9712294 730816 [I 66 66 66 65 65 64 ' ' 162 OF NUMBERS. No 1 2 3 4 5 6 7 8 9 Dif. 940 9731279 9731741 973220- 9732664 9733126 973358 973105C 9734511 9734973 9735435 -162 941 9735896 9736358 9736819 9737281 9737742 9738203 9738664 9739121 97395.T 9740048 461 942 9740509 9740970 9741431 9741 891. 9742353 9742814 974327', 9743735 97441 9( 9744650 461 945 9745117 9745577 9746038 97464% 9746959 974741 9747872 974834( 974880) 9749260 460 944 9749720 9750180 9750640 9751100 9751560 9752020 9752479 9752939 9753399 9753858 460 945 9754318 9754778 9755237 9755697 9756156 975661J 9757075 9757534 975799: 9758452 459 946 9758911 9759370 9759829 9760288 976074.7 9761206 9761665 9762124 9762582 9763041 459 947 9763500 9763958 976441" 9764875 9765334 9765792 9766251 9766709 9767167 9767(52; '159 948 9768083 9768541 9769000 9769455 9769915 9770373 9770831 977128! 9771741 977220 458 ?49 9772662 9773120 9773577 9774035 9774492 977495( 9775107 9775864 97763252 9776779 457 950 9777236 9777693 9778150 9778607 9779064 977952 9779978 9780435 978089- 978 LSI} 157 951 9781805 9782262 9782718 9783175 9783631 9784088 9784544 9785001 97;;,>i.r 157 952 9786369 9786826 978728L 9787738 9788194 9788650 9789106 97900 r 9790-1-7: 953 9790929 9791385 9791840 9792296 9792751 9793207 979 41 U 9794571 979502!, 456 954 9795154 9795939 979639 9796849 9797304 9797759 9798214 979866! 9799124 9799571 455 955 9800034 9800488 9800943 9f 10139! 9801852 9802307 980276] 98032 H 'JoO.J67( 980412; 455 956 9804579 9805033 9805487 9805942 9806396 9806850 9807304 9807758 9808212 98086(50 454 957 9809119 9809573 9810027 9810481 9810934 9811388 9811841 9812295 9812748 9S1320L 454 958 9813655 9814108 9814562 9815015 9815468 9815921 9816374 9816827 9U172!J( 9817733 453 959 9818186 9818639 9819092 9819544 9819997 9820450 9820902 9821355 9821807 9822260 453 9GO 9822712 9823165 9823617 9824069 9824522 9824974 9825426 9825878 9826330 9826782 452 961 9827234 9827686 9828138 9828589 9829041 9829 4 93 9829945 9830396 9830848 9831299 452 962 9831751 9832202 9832654 9833105 9833556 9834007 9834459 9834910 983536 9835812 451 963 9836263 9836714 9837165 9837616 9838066. 9838517 9838968 9839419 9839869 9840320 451 964 9840770 9841221 9841671 9842122 9842572 984302$. 9843473 9843923 984437J 984482! 450 965 98? 5273 9845723 9846173 984(5623 9847073 9847523 9847973 !).'! 11! 12L 984887L 984932L 450 . 966 9849771 9850221 9850670 1)851120 9851569 9852019 9852468 9852917 985336( 9853811 450 967 9854265 9854714 9855163 9855612 9856061 9856510 9856959 9857407 985785( 985830J 449 968 9858754 9859202 9859651 9860099 9860548 986099C 9861445 986189; :M5279( 448 969 9863238 9863686 9864134 9864582 9865030 9865478 9865926 98663-'! 986(582, 93(57270 448 970 9867717 9868165 9868613 9869060 9869508 9869955 9870403 9870850 9871298 9U7174T 147 971 9872192 9872640 9873087 9873534 9873981 9874428 9874875 9875322 9875769 987(521 ( 447 972 9876663 9877109 9877556 9878003 9878450 9878896 9879343 9879789 9880236 9880682 446 973 .1881128 9881575 9882021 9882467 9882913 9883360 9883806 9884252 9884698 9885144 446 974 9885590 9886035 9886481 9886927 9887373 9887818 9888264 9888710 9889155 9::!i9601 445 975 9890046 9890492 9890937 9891382 9891828 9892273 9892718 9093163 9893608 989405; 445 976 9894498 9894943 9895388 9895833 9896278 9896722 9897167 9897612 9898057 9H9850I 444 977 9898946 9899390 9899835 9900279 9900723 9901168 9901612 990205(5 9902500 9902944 444 978 9903389 9903833 9904277 9904721 9905164 9905608 9906052 9906496 9906940 9907383 444 979 9907827 J908271 9908714 9909158 9909601 9910044 9910488 9910931 9911374 9911818 -443 980 9912261 9912704 9913147 9913590 9914033 J9 14476 9914919 9915362 9915805 9916247 443 981 9916690 9917133 J917575 9918018 J918M51 9918903 9919345 9919788 1920675 442 982 9921115 9921557 9921999 9922441 9922884 J923326 $23768 9924210 442 983 9925535 9925977 9926419 9926,';60 9927302 J927744 9928186 J928627 1929068 029511 442 984 9929951 9930392 9930834 9931275 9931716 9932157 J93259.8 9933039 1933480 441 985 993-4362 J934803 J935244 9935685 9936126 9936566 9937007 J937448 1937888 J938329 440 986 9938769 9939210 9939650 9940090 9940531 W40971 9941411 J941851 440 987 J943172 J943612 9944051 J9444D1 J944931 9945371 9945811 1946251 9947130 4/10 988 9947569 9948009 J948448 9948888 9949327 9949767 9950206 J950645 J951085 440 989 J951963 9952402 9952841 J953280 9953719 9954158 9954597 9955036 J955474 9955913 439 ~990 J956352 J956791 J957229 9957668 9958106 J958545 9958983 9959422 J959860 9960298 439 991 J960737 9961175 9961613 9962051 J962489 9962P27 9903365 9963803 9964679 438 992 9965117 J96555 1- 9965992 9966430 9966868 9967305 J967743 J968180 9968618 9969055 437 993 9969492 9969930 9970367 9970804 J971242 J971679 9972116 0972553 J972990 J973427 437 994 9973864 9974301 9974738 W5174 9975611 19760 1(! J9764S5 J976921 1977358 9977794 437 995 )978231 9978667 J979104 J979540 J979976 J980-J13 9980849 9981285 J981721 9982157 437 996 J982593 9983029 99834/55 9983901 9984337 9984773 9985209 9985645 J986080 9986516 436 997 9986952 J987387 9987823 9988258 J988694 9989129 9989564 9990000 990435 9990870 435 998 9991305 >99i741 J992176 9992611 J993046 993481 9993916 9994350 994785 9995220 435 999 9995655 9996090 J99G524 J996959 9997393 997828 998262 9998697 999131 999566 135 1000 0000000 00004,34 0000869 0001303 0001737. 0002171 0002605 O0030.',:i 003473 0003907 434 1001 0004341 0004775 0005208 0005642 0006076 006510 0006943 0007377 007810 008244 34 1002 0008677 0009111 0009544 0009977 010411 0010844 01127: 'M'2143 012576 33 1003 0013009 0013442 0013875 0014308 014741 0015174 01560- 016905 33 1004 0017337 0017770 0018202 0018635 019067 T019499 :.')7% 32 1005 (021661 0022093 002252,") M)2 < 2957 023389 D023821 0025116 025548 432 1006 0025980 0026411 0026843 0027275 027706 3028138 0029C01 1029432 432 1007 0030295 030726 0031157 031588 032019 mm*! 0032882 0033313 32 1008 0034605 0035036 0035467 0035898 036328 3036759 037190 0037620 1038051 03 1-81 31 1009 0038912 0039342 0039772 0040203 0040633 3041063 0041493 0041924 J042351 0042784 30 ! -.0-0 LOGARITHMIC SINES, &c. . 179 / Sine. Dif. Co-secant. Tanjrent. Dif Co-tangent. Secant. D. Co-sine. / 1 2 I 3 4 5 i 6 Inf. Neg. 6.4637261 6.7647561 6.9408473 7.0657860 7.1626960 7.2418771 Infinite. 3010300 1760912 1249387 969100 791811 069168 579918 511524 457574 413926 377884 317619 321816 299630 280285 263288 248233 234809 222762 211890 202031 193049 184831 177285 170330 163901 157939 152397 117229 142400 137879 133636 1296.1(5 125887 122310 118988 115814 112805 109949 107234- 104619 102186 99837 97593 95 148 93394 91428 89543 B773S 85996 84325 82719 81172 79683 782 16 76862 7552 1 74233 72985 Infinite. 13.536:739 13.2352439 13.0591527 12.9342140 12.8373040 12.7581229 Inf. A'cir. 6.41537261 6.7(547562 6.9108475 7.0657863. 7.16269641 7.24-18778' Infinite. 3010301 17(5091-3 1249o.'!8 9(59101 791814 669 470 579921 511527 457577 4139:30 377888 347624 321851 299635 280291 263294 248240 234815 222769 211898 202039 193057 184840 177294 170339 163911 157950 152106 147210 142412 137890 133618 129658 125900 122353 119001 115828 112820 109963 1072!!) 104664 102202 99853 97609 95165 93411 911-1(5 89560 87751 86015 8 1344 82738 81192 79703 78267 76il82 75545 7125,3 73007 Infinite. 1 3.53(52739 13.2352438 13.0591525 12.9342137 12.8373036 12.7581222 10.0000000 10.0000000 10.0COG001 10.0000002 10.0000003 10.0000005 10.0000007 1 1 2 2 2 3 3 3 4 4 5 5 5 (i 6 7 6 7 8 8 8 9 9 9 10 10 11 10 12 11 12 12 13 13 14 13 14 15 15 15 16 16 1(5 17 17 17 18 1!! 19 19 1!) 20 '20 20 21 21 i),-. 10.0000000 m.ooocooo 9.9999999 GO 59 1 58 ! 57 ! 56 55 54 9.9999998 9.9999997 999995 9.9999993 7 8 9 10 ill 12 13 14 15 16 17 ; 18 7:3088239 7.3668157 7.4179681 7.4637255 7.5051181 7.5429065 12.6911761 12.6331843 12.58:0319 ] 2,3.3(52745 12.1.948819 12,1570935 7.3088248 7.3668169 7/4179(59(5 7.4637273 7.5051203 7.5429091 12.6911752 12.6331831 1 2.5820; 501- 12.5362727 12.4948797 12,4570909 10,0000009 10.0000012 10.0000015 10.0000018 10.0000022 10.0000026 . 9.9999991 9.9999988 9.99! 9.99999JJ2 9.999997J5 9.9999974 53 52 51 50 49 48 7.5776684 7.6098530 7.6398160 7.6678445 7.6941733 7.718996(5 12.4223316 12.3901470 12.3601840 12.3321555 12.3058267 12.2810034 7.5776715 7.6098566 7.6398201 7.6678492 7.691178(5 7.719002(5 12.4223285 12.3901434 12.3601799 12.3321508 12.3058214 12.2809974 10.0000031 10.0000036 10.0000041 10.0000047 10.0000053 10.0000060 9.9999969 9.999996-1. 9.9999959 9.9999953 9.9999917 9.9999940 47 46 45 44 43 42 19 20 21 22 23 24 7.7424775 7.7647537 7.7859427 7.8061458 7.8254507 7.8459338 12.2575225 12.2352163 12.2140573 12.1938542 12.1715493 12.1560662 7.7421841 7.76476JO 7.7859508 7.8061547 7.8254604 7.8-139444 12.2575159 12.2352390 12.21404-92 12.1938453 12.1745396 12.1560556 10.0000066 10.0000073 10.0000081 10.0000089 10.0000097 10 0000106 9.9999934 9. 9999! 12 7 9.9999919 9.9999911 9.9999903 9.9999894 11 40 39 38 37 36 25 26 27 28 29 30 7.8616623 7.878(5953 7.8950854 7.9108793 7.9261190 7.9108419 12.1383377 12.1213047 12.104911(5 12.0891207 12.0738810 12.0591581 7.8616738 7.8787077 7.8950988 7.9108938 7.9261344. 7.9408584 12.1383262 12.1212923 12.1019012 12.0891062 12.0738656 12.0591416 10.0000115 10.0000124 10.0000 131- 10.0000144 10.0000155 10.0000165 9.9999885 9.999987(5 9.9999866 9.9999856 9.9999845 9. 9999! 535 35 34 33 32 31 30 31 32 33 34 35 36 7.9550819 7.9688698 7.9822334 7.9951980 8.0077867 8.0200207 12.0449181 12.0311302 12.M177666 12.0018020 11.9922133 11.9799793 7.9550996 7.96:J8!.5:56 7.9322534 7.9952192 8.0078092 8.0200415 12.0419004 12.0311114 12.0177466 12.0047808 11.95)2190*5 11.9799555 10.0000177 10.0000188 10.0000200 10.0000212 10.0000225 10.0000238 9.9999H23 9.9999812 9.9999800 9.9999788 9.999! (775 9.9999762 29 2,, 27 26 25 24 37 38 3!) 40 41 42 8.0319195 8.0435009 8,0547814 8.0657763 8.0764997 8.0869646 1 1 .9(580805 11.9564991 11.9452136 11.9.M22:;7 11.9235003 11.9130354 8.0319446 8.0435274 8.05-1-8094 8.0658057 8.0765306 8.0869970 11.9680554 11.9564726 11.9451906 11.! '3 1-1 943 11,923469*1 11.9130030 10.0000252 10.00002(55 10.0000279 10.00002! ,'4 10.0000309 10.0000324 9.9999748 9.9999735 9.9999721 9.9999706 9.999%91 9.999!576 23 2 21 20 19 18 43 44 45 46 47 43 8.0971832 8 J 07 1669 8.1169262 8.1264710 8.1358104 8.1449532 Il. ( .'02. l !li58 11.8928331 i ! .!;:;.}()7:i!5 11. 87352! 10 11.8641W6 11. 8.350 -1(58 8.0972172 8.1072025 8.116963-1 8.1265099 8.1 3585 1 (! 8.1419956 11.9027828 11.8927975 11.8830366 11.557:>-1901 11.8(51-1190 11.8550044 10.00003-10 10.0000.556 10.0000372 10.0000389 10.0000406 10.0000423 9.9999661) 9.9999644 9.99SM528 9.9999611 9.999l'.'>94 9. 991 19577 17 16 15 1 1 13 12 49 50 51 52 153 54 8.1539075 8.1(52158015 8.1712804 8.1797129 8.1879848 8.1961020 11.8460925 11.8373192 11. 15287196 11.8202871 11.8120152 1 1 .8038980 1 1 .79592! 17 11.755K1051 11.7804180 11.77 11.7(.V>;i.>2 11. 7.0,", 1447 8.1539516 8.1627267 8.1713282 8.1797626 8.1CJ50364 8.1961556 11.8!604! 11.8372733 1U;2!!67IH 11.8119636 11.8038444 10.0000441 10.0000459 10.0000478 30.0000197 10.000051 (i 10.0000536 9.9999559 9.9999541 9.9999522 9.9999503 9.9999484 9.9999161 11 10 9 8 7 6 55 56 57 58 59 60 8.2010703 8.2118949 8.2195811 8.2271335 8.234556!> 8.2418553 8.2041259 8.211952(5 8.2196108 8.2271953 8.2346208 8.2419215 11.7958741 I1.788G474 1 1 .7803592 11.772"047 ' 1 1 .7653792 1 1 .7580785 10.0000556 10.000057(5 10.0000597 10.0000618 lO.OOOOMO in.(KifX)662 9.999941-i 9.99! 9.9999403 9.9!': 9.9999360 9.9999338 5 4 3 g 1 / Co-sine. Dif. Permit. Co-tang. Dif. Taiisteiit. Co secant. D. Sine. i 90 89 LOGARITHMIC SINES, &c. 1 '178 / Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. Secant. D. Co-sine. / 1 2 3 4 5 G 8.2118553 8.2490332 .25609k5 8. 2630121 8.2698810 8.2766136 8.2832434 71779 70611 69181 68386 67326 66298 65300 64333 63393 62481 61595 60733 59894 59080 58286 57514 5(57(52 56030 55315 54619 53941 53278 52632 52002 51386 50785 50197 49624 4-9062 48511 47978 47453 46940 46438- 45945 45165 44993 44532 44079 '13636 45201 42776 42358 41948 41547 41153 40766 40386 40014 3964.9 39289 38937 38591 38250 37916 37587 37264 36947 36635 36329 11.7581147 11.7509668 11.7139057 11.7369576 11.7301190 11. 72338(51 11.7167566 8.2119215 S.2191Q15 8.2561619 8.2(531 15.5 H.269956;> 8.2766912 8.2833231 71800 70634 69504 68110 67319 66322 65325 64358 63118 62507 61620 60759 59922 59106 58314 57512 56790 56058 55344 51618 53970 53308 52663 52032 51418 50816 50229 49656 49095. 48517 48011 47186 46974 161-72 45981 45500 45028 44568 44115 43672 43239 42813 42395 41987 41585 41191 40806 40426 40051 39689 39330 38977 38632 38292 37958 37630 37307 36990 36679 36372 11.7580785 11.7508985 11.7438351 11.7368817 11.7300157 11.7233088 11.7166766 10.0000662 10.0000684 10.0000706 10.0000729 10.0000753 10.0000776 10.0000800 22 22 23 24 23 24 25 25 25 25 26 27 26 27 28 27 28 29 29 29 30 30 30 31 31 31 32 32 33 32 34. 33 34 35 34 36 35 36 36 37 37 37 38 38 38 39 39 40 39 41 40 11 42 41 12 43 43 43 43 44 IT 9.9999338 9.9999316 9.9999294 9.9999271 9.9999217 9.9999224 9.9999200 60 59 58 57 56 55 54 7 8 9 10 11 12 8.2897734 8.2962067 8.3025460 8.3087941 8.3149536 8.3210269 11.7102266 11.7037933 11.6974540 11.6912059 11.6850461 11.6789731 8.2898559 8.2962917 8.3026335 8.3088812 8.3150162 8.3211221 8.3271143 8.3330249 8.3388563 55.34 U5105 8.3502895 8.3558953 11.7101441 11.7037083 11.6973665 11.6911158 11.6819538 11.6788779 10.0000825 10.0000850 10.0000875 10.0000900 10.0000926 10.0000953 9.9999175 9.9999150 9.9999125 9.9999100 9.9999074 9.9999047 53 52 51 50 49 48 13 14 15 16 17 18 8.3270163 8.3329245 8.3387529 8.3445043 8.3501805 8.3557835 11.6729837 11.6670757 11.6612171 11.6551957 11.6198195 11.6442165 11.6728857 11.6669751 11.6611437 11.6553895 11.6497105 If. 6441047 10.0000979 10.0001006 10.0001034 10.0001061 10.0001089 10.0001118 9.9999021 9.9998994 9.9998966 9.9998939 9.9998911 9.9998882 47 46 45 44 43 42 19 20 21 22 23 21 8.3613150 8.3667769 8.3721710 8.3774988 8. 3!) 27620 8.3879622 11.6386850 11.6332231 11.6278290 11.6225012 11.6172380 11.6120378 8.3614297 8.3668915 8.3722915 8.3776223 8.3828886 8.3880918 11.6385703 11.6331055 11.6277085 11.6223777 11.6171114 11.6119082 10.0001147 10.0001 176 10.0001206 10.000123(5 10.0001266 10.0001297 9.9998853 9.9998824 9.9998794 9.9998764 9.99987:11 9.9998703 41 40 39 38 37 36 25 26 27 28 29 30 8.3931008 8.3981793 ?!,):)] 990 i:,!o;;ii;ii 8.4130676 8.4179190 11.6068992 11.6018207 11.5968010 11.5918386 11.5869321 11.5820810 8.3932336 8.3983152 8.4033381 8.4083037 8.4132132 8.4180679 11.6067664 11.6016818 11.5966619 11.5916963 11.5867868 11.5819321 10.0001328 10.0001359 10.0001391 10.0001423 10.0001456 10.0001488 9.9998672 9.9998641 9.9998609 9.9998577 9.9998544 9.9998512 35 34 33 32 31 30 31 32 33 34. 35 36 8.4227168 8.4274621 8.4321561 8.4367999 8.1113914 8.4159 109 11.5772832 11.5725379 11.5678439 11.5632001 11.5586056 11.5510591 8.4228690 8.4276176 8.4323150 8.4.369622 8.4415603 8.4461103 11.5771310 11.5723821 11.5676850 11.5630378 11.5581397 11.5538897 10.0001522 10.0001555 10.0001589 10.0001621 10.0001658 10.0001694 9.9998478 9.9998445 9.9998411 9.9998376 9.9998342 9.9998306 29 28 27 26 25 24 37 38 39 40 41 42 8.4504402 8,4543934 8.4593013 8.463661.9 :!. I (> 8.4722626 11.5)95593 11.5151066 11.5406987 11.5363351 11.5320150 11.5277371 8.4506131 8.1550699 8.459481 1 8.4638486 8.1681725 8.4724538 11.5493869 11.5449301 11.5405186 11.5361514 11.5318275 11.5275162 10.0001729 10.0001765 10.0001801 10.0001838 10.0001875 10.0001912 9.9998271 9.9998235 9.9998199 9.9998162 9.9998125 9.9998088 23 22 21 20 19 18 43 44 45 46 47 45 8.4764984 8.4806932 84818179 8.4889632 8.4930398 84970781 11.523501(5 11.5193068 11.5151521 11.51103(58 11.50(59(502 11.5029216 8.4766933 8.4808920 8.4850505 8.4891696 8.4932502 8.4972928 11.5233067 11.5191080 11.5149195 11.5108301 11.5067198 11.5027072 10.0001950 10.0001988 10.000202(5 10.0002065 10.0002101 10.0002144 9.9998050 9.9998012 9.9997974 9.9997935 9.9997896 9.9997856 17 16 15 14 13 12 49 50 51 52 53 54 8.5010798 8.5050447 8.5089736 8.5128673 8.5167264 8.5205511 11.4989202 11.4949553 11.4910261 11.4871327 ; 1.4832736 11.4794486 8.5012982 8.5052(571 8.5092001 .51;H)97f! 8.5169610 8.5207902 11.4987018 11,194-7329 11.490799!) 11.4869022 11.4830390 11.4792098 10.0002183 10.0002221 10.000226 1 10.0002305 10.0002;: 17 10.0002::::;:: 9.9997817 9.9997776 9.9997736 9.9997695 9.9997653 9.9997612 11 10 9 8 7 6 55 56 57 58 59 60 8.5213130 8.5281017 8.5318281 8.5355228 8.5391863 8.5128192 11.4736570 11.4718983 11. -1158171 9 11.4644772 11.4608137 11.4571808 8.5245860 8.5283490 8.5320797 8.fj:J577H7 8.5394466 8.51308:38 11.4754140 11.4716510 11.4679203 11.4642213 11.4605531 11.4569162 10.0002130 10.0002 173 10.0002516 10.0002559 10.0002) :C2 10.0002616 9.9997570 9.9997527 9.9997184 9.9997141 9.9997398 9.9997354 5 4 3 2 1 / Co-sine. Dif. Secant. Co-tang. Dif. Tangent. Co-secant. Sine. / 91 88 LOGARITHMIC SINES, &c. 2 177 / Sins. Dif. Co-secant. Ttiiiiient. Dif. Co-tangent. Secant. D. Co-sine. / 1 2 3 4 5 G 8.5423192 8.5464218 8.5499948 8.5535386 8.5570536 8.5605404 8.5639994 360=26 35730 35438 35150 34868 34590 34316 31047 33782 33521 33263 33010 32761 32515 32274 32034 31800 31569 31340 31115 30894 30675 30459 30247 - 30037 29831 29627 29426 29227 V 29032 28838 286 1-3 28160 28274 28091 27910 27731 27555 27381 27209 27039 26872 26706 26542 26381 26221 26064 25907 25754 2560] 25451 25303 25155 25010 24567 2472 1 21535 2411o 2 1:;'};) 24173 11/1571803 11.J53.3782 1 1 .4500052 11. 446 Kill- 11.4429164 11.4394596 1 1 .'1360006 8.54,30838 8.5166909 8.55921 583 8.5538 166 8.5573362 8.5(508276 8.56 129 12 36071 35774 35483 35196 34914 34636 34363 34093 33329 33569 33311 33059 32809 32564 32323 32085 31850 31619 31391 31166 30946 30727 30511 30300 30091 29384 29681 29480 29282 29086 28894 28703 28516 28331 28147 27968 27789 27612 27440 27267 27099 26931 26765 26(503 26-141 26282 26125 25969 25816 25663 25514 25366 25218 25075 24930 2 H90 21649 21511 24-374 2 1-239 11.4569162 11.4533091 11.4497317 11.4461834 11.4426633 11.4391724 11. 4357088 10.0002646 10.0002691 10.0002735 10.0002780 10.0002826 10.0002872 10.0002918 45 44 45 46 46 46 46 47 47 43 48 48 49 49 50 49 51 50 51 51 52 52 52 53 53 54 54 54 55 54 56 56 56 56 57 57 58 58 58 58 59 60 60 60 60 61 61 62 62 62 63 64 63 65 64 65 65 66 66 9.9997354 9.9997309 9.9997265 9.9997220 9.9997174 9.9997128 9.9997082 60 59 58 57 56 55 54 7 - 8 9 10 11 12 8.5674310 8.5708357 8.5742139 8.5775660 8.5808923 8.581-1933 8.5874694 8.5907209 8.5939483 8.5971517 8.6003317 8.6034886 1 K4325690 11. 4291643 11.4257861 11.4224310 11.4191077 11.4158067 8. 5i 577275 8.5711363 8.574ol97 8.577871 i6 8.5312077 8.5845136 3.58779-10 8.5910509 8.5942832 8.5974917 3.6006767 8.6038386 11.4322725 11.4280632 1 1 .4254803 11.4221231 11.4187923 11.4154864 10.0002964 10.0003011 10.0003058 10.0003106 10.0003154 10.0003202 9.9997036 9.9996989 9.9996942 9.9996894 9.9996846 <> ! .9996798 53 52 61 50 49 48 13 14 15 16 17 18 11.4125306 11.4092791 11.4060517 ll.402o'-i:;.i 11.3996683 11.3965114 11.3933774 11.3902659 11.3371765 11.3841090 11.3810631 11.3780384 11.4122055 11.4089491 11.4057168 11.4025083 11.3993233 11.3961614 10.0003251 10.0003300 10.0003350 10.0003399 10.0003450 10.0003500 9.9996749 9.9996700 9.9996650 9.9996601 9.9996550 9.9996500 47 46 45 44 43 42 19 20 21 22 23 24 8.6066226 8.6097341 8. 6 12,1235 8.6 15,'jy 10 8.6189369 8.6219616 8.6069777 8.6100943 8.61.31889 8.6162616 8.6193127 8.6223427 1 1 .3930223 11.3899057 11. 38681 If 11.3837384 11.3806873 11.3776573 10.0003551 10.0003602 10.0003654 10.0003706 10.0003758 10.0003811 9.9996449 9.9996398 9.9996346 9.9996294 9.9996242 9.9996189 41 40 39 38 37 36 25 26 27 28 29 30 8.6249653 8.6279484 8.6309111 8.6338537 8.6367764 8.639(5796 11.3750347 11.3720516 11.3690889 11.3661463 11.3632236 1 ! .3603204 1 1 .3574366 11.3515718 11.3517258 1 1.348! !!)H !- J 1.3460893 11.3432983 8.6253518 8.6283402 S.631308J 8.6342563 8.6371845 8.6400931 11.3746482 11.3716598 11.3686917 11.3657437 11.3628155 11.3599069 10.0003864 10.0003918 10.0003972 10.0004026 10.0004081 10.0004135 9.9996136 9.9996082 9.9996028 9.9995974 9.9995919 9.9995865 9.9995809 9.9995753 9.9995697 9.9995641 9.9995584 9.9995527 35 34 33 32 31 30 29 28 27 26 25 24 31 32 33 34 35 36 8.6425631 8. (5451282 8.6182712 8.6511016 8.6539107 8.6567017 8 6429825 8.6458528 8.6487044 8.6515375 8.65 13522 8.6571490 11.3570175 11.3541472 11.3512956 11.3484625 11.3456478 11.3428510 10.0004191 10.0004247 10.000-1303 10.0004359 10.0004416 -10.0004473 37 38 39 40 41 42 8,659474-8 8.6622303 8.6649684 8,6676893 8.670393U 8.6730804 11.3105252 1 1 .3377697 1'. 335031 6 11.3323107 11.3296068 11.3269196 8. 659! 127!) 8.6626891 8.6651331 8.6681698 8.6708697 3. 67356'. >n 11.3400721 11.3373109 11.3345669 11.3318102 11.3291303 11.3264372 10.0004531 10.0004589 10.0004647 10.0004705 10.0004764 10.0004824 9.9995469 9.999541 1 9.9995353 9.9995295 9.9995236 9.9995176 23 22 21 20 19 18 43 44 45 46 47 48 8,6757510 8.6784052 8.6810433 8.6836654 8.6862718 8.68tf;i;2r> 1 1 .3242490 11. 321 /MUD 11.3189567 11. 31 6; 53 16 11.31372IV2 11.3111375 11.3085t52i n.30i;oo.2o 11. 30,]! 51 5!) 1 1 .3009266 11.29;; mi 11.2959101 8.6762393 8.67!J!!996 H.65J 15-137 8.68 H 71 9 8.6867844 8.6893813 8.6919629 8.691-5292 8.6970806 8.6996172 8.7021390 8.7046465 11.3237607 11. ?2 11004 11.3184563 11.3153281 11.3132156 11.3106187 10.0004884 10.0004944 10.0005004 10.0005065 10.0005126 10.0005188 9.9995116 9.9995056 9.9994996 9.9994935 9.9994874 9.9994812 9.99947.50 9.9994638 9.9994625 9.9994562 9.999-1498 9.9994435 17 16 15 14 13 12 49 50 51 52 53 54 *? 57 58 59 60 8.691 1379 8.69-39980 8.6! '). : n.)l 8.6990754 8.701 ."ifiny 8.7010899 11.3080371 11.3051708 11.3029191 11.3003JJ2H 11.2978610 11.2953535 10.0005250 10.0005312 10.0005375 10.0005438* 10.0005502 10.0005565 11 10 9 8 7 6 8.70657(56 8.709)190 8. 7 il 5!)7o 8.7139.720 8.7163829 8.71U8002 1 1 .2934234 11.2909-") 10 11.2884925 ll.^ofifMSO U.2836171 11.2811998 8.70713:-5 8.7096 1!J5 8.7120834 8.711534.3 n.71119719 8.7193958 Co-tang. 11.2928(505 11.2903815 11.2879166 11.2851655 11.2830281 1 1 .2306042 10.0005630 10.0005694 1-0.0005759 10.0005824 10.0005890 10.0005956 9.9994370 9.9994306 9.9994241 9.9994176 9.9994110 9.9994044 5 4 3 2 1 / Co-sine. Dif. Secant. Dif. Tangent. Co-secant. D. Sine. / 92 87 LOGARITHMIC SINES, &c. 8 17C / Sine. Dif. Co-secant. Tangent. Dif. Co-tan neat. Secant. D. Co-sine. / 1 2 3 4 5 6 8.7188002 8.7212040 8.7235946 8.725972! 8.7283366 8. 7306882 8.7330272 24038 23906 23775 23645 23516 23390 23263 23140 23016 22895 22774 22655 22538 22420 22305 22191 22077 21966 21854 21745 21636 21528 21422 21317 21212 21108 21006 20904 20804 20705 20606 20508 20411 20316 20220 20127 20033 19941 19849 19759 19(i(i9 19580 19492 19404 19317 19232 191 46 19062 18979 18895 18813 18732 18651 18571 18191 18112 18335 18257 18180 18104 11.2811998 1 1 .2787960 11.2764051. 11.2740279 11.2716634 11.2693118 11.2669728 8.7193958 8.7218063 8.7242035 8.7265877 8.7'289589 8.7313174 8.7336631 24105 23972 23842 23712 23585 23457 23333 23208 23086 22964 22845 22725 22608 22492 22377 22262 22150 22038 21928 21818 21710 21602 21497 21391 21287 21184 21082 20981 20880 20782 20683 20586 20490 20394 20299 20206 20113 20021 19930 19839 19750 19662 19573 19487 19400 19314 19230 19146 19062 18980 18898 18817 18737 18656 18578 18199 L84S2 18314 18263 18192 11.2806042 11.2781937 11.2757965 11.2731123 11.2710411 11.2686826 11.2663369 10.0005956 10.0006022 10.0006089 10.0006156 10.0006224 10.0006292 10.0006360 66 67 67 68 68 68 68 69 70 69 71 70 71 71 72 71 73 72 73 74 74 74 74 75 75 76 76 76 77 77 77 78 78 79 79 79 80 80 80 81 81 82 82 82 83 83 83 84 84 84 85 85 86 86 86 87 87 87 88 88 D. 9.9994044 9.9993978 9.9993911 9.9993844 9.9993776 9.9993708 9.9993640 60 59 58 57 56 55 54 7 8 9 10 11 12 8.7353535 8.7376675 8.7399691 8.7422586 8.7445360 8.7468015 1 1 .264646.5 11.2623325 11.2600309 11.2577414 11.2554640 11.2531985 8.7359964. 8.7383172 8.7406258 8.7429222 8.7452067 8.7474792 11.2640036 11.2616828 11.2593742 11.2570778 11.2547933 11.2525208 10.0006428 10.0006497 10.0006567 10.0006636 10.0006707 10.0006777 9.9993572 9.9993503 9.9993433 9.9993364 9.9993293 9.9993223 53 52 51 50 49 48 13 14 15 16 17 18 8.7490553 8.7512973 8.7535278 8.7557469 8.7579546 8.7601512 11.2509447 11.2487027 11.2464722 11.2442531 11.2420454 11.2398488 8.7497400 8.7519892 8.7542269 8.7564531 8.7586681 8.7608719 11.2502600 11.2480108 11.2457731 11.2435469 11.2413319 11.2391281 10.0006848 10.0006919 10.0006991 10.0007062 10.0007135 10.0007207 9.9993152 9.9993081 9.9993009 9.9992938 9.9992865 9.9992793 47 46 45 44 43 42 19 20 21 22 23 24 8.7623366 8.7645111 8.7666747 8.7688275 8.7709697 8.7731014 11.2376634 11.2354889 11.2333253 11.2311725 11.2290303 11.2268986 8.7630647 8.7652465 8.7674175 8.7695777 8.7717274 8.7738665 11.2369353 11.2347535 11.2325825 11.2304223 11.2282726 11.2261335 10.0007280 10.0007354 10.0007428 10.0007502 10.0007576 10.0007651 9.9992720 9.9992646 9.9992572 9.9992498 9.9992424 9.9992349 41 40 39 38 37 36 25 26 27 28 29 30 8.7752226 8.7773334 8.7794340 8.7815244 8.7836048 8.7856753 11.2247774 11.2226666 11.2205660 11.2184756 11.2163952 11.2143247 8.7759952 8.7781136 8.7802218 8.7823199 8.7844079 8.7864861 11.2240048 11.2218864 11.2197782 11.2176801 11.2155921 11.2135139 10.0007726 10.0007802 10.0007878 10.0007954 10.0008031 10.0008108 9.9992274 9.9992198 9.9992122 9.9992046 9.9991969 9.9991892 35 3-1 33 32 31 30 31 32 33 34 35 36 8.7877359 8.7897867 8.7918278 8.7938594 8.7958814 8.7978941 11.2122641 11.2102133 11.2081722 11.2061406 11.2041186 11.2021059 8.7885544- 8.7906130 8.7926620 8.7917011 8.7967313 8.7987519 11.2114456 11.2093870 11.2073380 11.2052986 11.2032687 11.2012481 10.0008185 10.0008263 10.0008341 10.0008420 10.0008499 10.0008578 9.9991815 9.9991737 9.9991659 9.9991580 9.9991501 9.9991422 29 28 27 26 25 24 37 38 3D 40 41 42 8.7998974 8.8018915 8.8038764 8.8058523 8.8078192 8.8097772 11.2001026 11.1981085 11.1961236 11.1941477 11.1921808 11.1902228 8.8007632 8.8027653 8.8047583 8.8067422 8.8087172 8.8106834 11.1992368 11.1972347 11.1952117 11.1932578 11.1912828 11.1893166 10.0008658 10.0008738 10.0008818 10.0008899 10.0008980 10.0009062 9.9991342 9.9991262 9.9991182 9.9991101 9,9991020 9.9990938 23 22 21 20 19 18 43 44 45 46 47 48 8.8117264 3.8 J 36668 8.8155985 8.8175217 8.8194363 8.8213425 11. 1882736 11.1863332 11.1844015 11.1824783 11.1805637 11.1786575 8.81 '26107 8.8145894 8.8165291. 8.8181608 8.8203838 8.8222984 11.1873593 11.1854106 11.1834706 11.1815392 .11.1796162 11.1777016 10.0009144 10.0009226 10.0009309 10.0009392 10.0009475 10.0009559 9.9990856 9.9990774 9.9990691 9.9990608 9.9990525 9.9990441 17 16 15 14 13 12 49 50 51 52 53 54 H.fi'2,72404 8.3251299 8.S270112 8.8288844 8.8307195 8.8326066 11.1767596 11.17-18701 11.1729:;;;;; 11.1711156 11.1692505 11.1673934 C. 8242016 8.8261026 8.8279924 8.8298741 8.8317478 3.8336131 11.1757951 11.1738974 11. 1720076 11.1701:259 11.1682522 11.1663866 10.0009613 10.0009727 10.0009812 10.0009897 10.0009983 10.0010069 9.9990357 9.9990273 9.9990188 9.9990103 9.9990017 9.9989931 11 10 9 8 7 6 55 56 57 58 HJ (iO / 8.8344557 8.83G2969 8.8381304 8.8399561 8.8417741 8.8435845 11.1655143 11.1637031 11.1618696 11.1600439 11.1582'259 11.1564155 8.8351712 8.8373211 8.839 163.5 .8:-i6i;*7 11.1645288 11.1626789 11.1608367 11.159;K>23 11.1571755 11.1553563 10.0010155 10.0010242 10.0010329 10.0010416 10.0010504 10.0010592 9.9989845 9.9989758 9.9989671 9.9989584 9.9989496 9.9989408 Sine. 5 4 3 2 Co-sine. Dif. Secant. Co-trui^. Dif. Tangent. Co-secant. / 93 80 LOGARITHMIC SINES, &c. 40 175 o / Bipe, Dif, Cosecant. Tangent. Dif. Co-tangent. Secant. Dif. Co-sine. / 1 2 3 4 5 6 8.8435845 8.8 153874 8.8471827 8.8189707 .:!5075J2 8.8525245 8. 8542905 18029 17953 17880 17805 17733 17660 17588 17517 17147 17376 17306 17237 17169 17101 17034 16966 16900 16835 16769 16704 16639 16576 16512 16450 16387 16325 16264 16202 16142 16082 16022 15963 15904 158 46 15787 15730 15673 15617 15560 15504 15418 15394 15338 15285 15230 15177 15123 15071 15018 1496G 1491 1 14863 14812 14761 ^14711 "146G1 1 Kill 11561 14513 14164 11.15(54155 11.1516126 11.1528173 11.1510293 11. 1492188 11.1474755 11.1457095 8.8446437 8.8 46 1554 8.8482597 8.8500566 8.8518461 8.8536283 8.855-1034 18117 18043 17969 17895 17822 17751 17679 17608 17538 17468 17398 17330 17262 17194 17127 17061 16995 16929 16864 16799 16736 16672 16609 16547 16484 16423 16362 16301 16240 16182 16121 16063 16004 15947 15889 15831 15775 15718 15663 15607 15552 15497 15443 15388 15335 15282 1522!) 15177 15124 15073 15021 14971 14919 14869 14820 14769 14721 14671 14623 14574 11.1553563 11.1535446 11.1517403 11.1499434 11.1481539 11.1463717 11.1445966 10.0010592 10.0010681 10.0010770 10.0010859 10.0010948 10.0011038 10.0011129 89 89 89 89 90 91 91 91 91 92 92 93 93 93 94 94 94 95 95 96 96 96 97 97 97 98 98 98 99 100 99 100 100 101 101 102 102 102 102 103 104 103 104 105 105 105 105 106 106 107 107 107 108 108 109 109 109 109 110 111 J.9989408 9.9989319 9.9989230 9.9989141 9.9989052 9.9988962 9.9988871 60 59 58 57 56 55 54 7 8 9 10 11 12 8.8560493 8.8578010 8.8595457 8.8(i 12833 8.8630139 8.8647376 11. 1439507 11.1421990 11.1404543 11.1387167 11.1369861 11.1352624 8.8571713 8.8589321 8.8606859 8.8624327 8.8641725 8.8659055 11.14-28287 11.1410679 11.1393141 11.1375673 11.1358275 11.1340945 10.0011220 10.0011311 10.0011402 10.0011494 10.0011586 10.0011679 9.9988780 9.9988689 9.9988598 9.9988506 9.9988414 9.9988321 53 52 51 50 49 48 13 14 15 16 17 18 8.8664545 8.8681646 8.8698680 8.8715646 8.8732516 8.8749381 11.1335455 11.1318351 11.1301320 11.1284354 11.1267454 11.1250619 8.8676317 8.8693511 8.8710638 8.8727699 8.8744694 8.8761623 11.1323683 11.1306489 11.1289362 11.1272301 11.1255306 11.1238377 10.0011772 10.0011865 10.0011959 10.0012053 10.0012147 10.0012242 9.9988228 9.9988135 9.9988041 9.9987947 9.9987853 9.9987758 47* 46 45 44 45 42 19 20 21 23 24 8.8766150 8.8782854 8.8799493 8.8816069 8.8S32581 8.8849031 11.1233850 11.1217146 11.1200507 11.1183931 11.1167419 11.1150969 8.8778487 8.8795286 8.8812022 8.8828694 8.8845303 8.8861850 11.1221513 11.1204714 11.1187978 11.1171306 11.1154697 11.1138150 10.0012337 10.0012433 10.0012529 10.0012625 10.0012722 10.0012819 9.9987663 9.9987567 9.9987471 9.9987375 9.9987278 9.9987181 41 40 3!) 38 37 36 25 26 27 28 29 30 8.8865418 8.8881713 8.8898007 8.89 H209 8.8930351 8.8946433 11.1131582 11.1118257 11.1101993 11.1085791 11.1069619 11.1053567 8.8878334 8.8894757 8.8911119 8.8927420 8.8943660 8.8959812 11.1121666 11.1105243 11.1088881 11.1072580 11.1056340 11.1040158 10.0012916 10.0013014 10.0013112 10.0013210 10.0013309 10.0013409 9.9987081 9.9986986 9.9986888 9.9986790 9.9986691 9.9986591 35 34 33 32 31 30 31 32 33 3t 35 36 8.89624,55 8.8978148 8.8994322 8.9010168 8.9025955 8.9011685 11.1037545 11.1021582 11.1005678 11.0989832 11.0974045 11.0958315 8.8975963 8.89.92026 8.9008030 8.9023977 8.9039866 8.9055697 11.1024037 11.1007974 11.0991970 11.0976023 11.0960134 11.0941303 10.0013.508 10.0013608 10.0013708 10.0013809 10.0013910 10.0014012 9.9986492 9.9986392 9.9986292 9.9986191 9.9986090 9.9985988 29 28 27 26 c ^5 O; 37 38 39 40 41 42 8.9057358 8.9072975 8.9088535 8.9101039 8.9119187 8.9131881 11.0942642 11.0927025 11.0911165 11.0895961 11.0880513 11.0865119 8.9071472 8.9087190 8.9102853 8.9118460 8.9134012 8.9149509 11.0928528 11.0912810 11.0897147 11.0881540 11.0865988 11.0850491 10.0014114 10.001421 ( 10.0014318 10.0014421 10.0014525 10.0014628 9.998588C 9.9985781 9.9985682 9.9985579 9.9985475 9.9985372 2* 22 2] 20 19 18 43 44 45 46 17 48 8.9150219 8.91 6550 J 8.9180734 8.9195911 8.9211034 8.9226105 11.0819781 11.08;U 196 11.0819266 11.0804089 1 1 .0788966 11.0773895 8.9161952 8.9180310 8.9195675 8.9210957 8.9226186 8.9241363 11.0835048 11.0819660 11.0804325 11.0789043 11.0773814 11.0758637 10.001473L 10.0014837 10.0014942 10.0015017 10.0015152 10.0015258 9.9985268 9.9985163 9.9985058 9.998195b 9.9984818 9.9984742 17 16 i< 12 49 50 51 52 53 54 8.9241123 8.9256089 8.927 100:5 8.9285866 8.9300678 8.9315439 11.0758877 11.0743911 11.0728997 11.0714131 11.0699322 11. 0684561 8.9256487 8.9271560 8.9286581 8.9301552 8.9316471 8.9331340 11.0743513 11.0728440 11.0713419 11.0698448 11.0683529 11.0668660 10.0015364 10.0015471 10.0015578 10.0015685 10.0015793 10.0015901 9.9984636 9.998452! 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1 1B 9.09.10651 9.1000616 9.1010558 9.1020477 9.1030373 9.1040246 10.9009349 10.8999381 10.8989442 10.8979523 10.8969627 10.8959754 9.1025192 9.1035317 9.1045420 9.1055500 9.1065557 9.1075591 10.8971808 10.8964683 10.8954580 10.8944500 10.8934443 10.8924409 10.0034541 10.0034701 10.0034862 10.003,5023 10.0035184 10.0035345 9.9965459 9.9965299 9.9965138 9.9964977 9.9964516 9.9964655 47 46 45 44 43 42 1 ]y 1 20 1 21 1 22 23 I 24 9.1050096 9.1059924 9.1069729 9.1079512 9.1089272 9.1099010 10.8949904 10.8940076 10.8930271 10.8920488 10.8910728 10.8900990 9.1085604 9.1095594 9.1105562 9.1115508 9.1125431 9.1135333 10.8914396 10.8904106 10.8894438 10.8884492 10.8874569 10.8864667 10.0035507 10.0035670 10.0035833 10.0035996 10.0036159 10.0036323 9.9964493 9.9964330 9.9964167 9.9964004 9.9963841 9.9963677 41 40 39 38 37 36 25 1 26 1 27 28 1 29 1 30 9.1108726 9.1118420 9.1128092 9.1137742 9.1147370 9.1156977 10.8891274 10.8881580 10.8871908 10.8862258 10.8852630 10.8843023 9.1145213 9.1155072 9.1164909 9.1174724 9.1184518 9.1194291 10.8851787 10.8844928 10.8835091 10.8825276 10.8815482 10.8805709 10.00364S7 10.0036652 10.0036817 10.0036982 10.0037148 10.0037314 9.9963513 9.9963348 9.9963183 9.9963018 9.9962852 9.9962686 35 34 33 32 31 30 1 31 32 1 33 34 1 35 I 36 9.1166562 9.1176125 9.1185667 9.1195188 9.1204688 9.1214167 1A8833438 10.8823875 10.8814333 10.8804812 10.8795312 10.8785833 9.1204043 9.1213773 9.1223482 9.1233171 9.1242839 9.1252486 10.8795957 10.8786227 10.8776518 10.8766829 10.8757161 10.8747514 10.00374S1 10.0037648 10.0037815 10.0037983 10.0038151 10.0038319 9.9962519 9.9962362 9.9962185 9.9962017 9.9961849 9.9961681 29 28 27 26 25 24 23 22 21 20 19 18 1 37 38 39 1 40 I 41 42 9.1223624 9.1233061 9.1242477 9.1251872 9.1261246 9.1270600 10.8776376 10.8766939 10.8757523 10.8748128 10.8738751 10.8729400 9.1262112 9.1271718 9.1281303 9.1290868 9.1300413 9.1309937 10.8737888 10.8728282 10.8718697 10.8709132 10.8699587 10.8690063 10.0038488 10.0038657 10.0038826 10.0038996 10.0039166 10.0039337 9.9961512 9.9961343 9.9961174 9.9961004 9.9960834 9.9960663 43 11 15 Hi 47 48 9.1279934 9.1289247 9.1298539 9.1307812 9J317064 9.1326297 10.8720066 10.8710753 10.8701461 10.80921 88 10.868293(5 10.8673703 9.1319442 9.1328926 9.1338391 9.134.7835 9.1357260 9.1366665 10.8680558 10.8671074 10.8661609 10.8652165 10.86427 K) 10.8633335 10.8623919 10.8614583 10.8605236 10.8595908 10.8586(500 10.8577311 10.0039508 10.0039679 10.0039851 10.0040023 10.0040196 10.0040369 9.9960492 9.9960321 9.9960149 9.9959977 9.9959804 9.9959631 17 16 15 14 13 12 49 50 51 52 !! 9.1335,509 9.1344702 9.1353875 9.1363028 9.1372161 9.1381275 1 0.866 4491 10.8655.298 10.8646125 10.8636972 10.8627839 10.8618725 9.1376051 9.1385417 9.1394764 9.1404092 9.1413400 9.1422689 10.0040542 10.0040716 10.0040889 10.0041064 10.0041239 10.0011414 9.9959458 9.9959284 9.9959111 9.9958936 9.9958761 9.9958586 11 10 9 8 7 6 n \\ 5 7 58 1 5y II G0 9.1390370 9.13994/15 9.14()8.X)1 9. 11 17537 9.1 12C..555 9.1455553 10.8609630 10.8600555 10.8591499 10.858216;} 10.8573145 iO.8564447 9.1431939 9.1411210 9.1450442 9.1159655 9.1468849 9.1478025 10.8568011 10.8558790 10.8549558 10.8540345 10.8531151 10.8521975 10.0041589 10.0041765 10.0041941 10.0042118 10.0042295 10.0042472 9.9958411 9.9958235 9.9958059 9.9957882 9.9957705 9.9957528 5 4 3 2 1 1 / Co-sine. 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Co-sine. / 1 2 3 4 5 6 9.1435553 9.1444532 9.1453493 9.1462435 9.1471358 9.1480262 9.1489148 8979 8961 8942 8923 8904 8886 8867 8849 8830 8813 8794 8775 8758 8740 8722 8704 8686 8668 8651 8634 8615 8599 8581 8564 8546 8530 8512 8195 8478 8462 8444 8428 8412 8391 8378 8362 8345 8328 8313 8296 8280 8264 8247 8232 8216 8200 8184 8168 8153 8137 8121 8106 8091 8075 8059 8045 8029 8011 7999 7983 10.8564447 10.85554G8 10.8546507 10.8537565 10.8528642 10.8519738 10.8510852 9.1478025 9.1487182 9.1496321 9.1505441 9.1514543 9.1523627 9.1532692 9157 9139 9120 9102 9084 9065 9047 9030 9011 8993 8975 8958 8940 8923 8904 8888 8870 8852 8836 8818 8801 8784 8767 8750 8733 8717 8700 8683 8666 8650 8634 8617 8601 8585 8568 8553 8536 8520 8504 8189 8173 8457 8441 8426 8410 8394 8379 8364 8348 8334- 8318 8302 8288 8273 8257 8245 8228 8213 8198 8164 10.8521975 10.8512818 10.8503679 10.8191559 10.8185157 10.8176373 10.8167308 10.0042172 10.0012650 10.0012828 10.0013007 10.0013185 10.0043365 10.004o641 178 178 179 178 180 179 180 181 180 181 182 182 182 183 183 183 184 184 184 185 185 186 186 186 187 187 188 188 188 188 189 190 190 190 190 191 191 192 192 192 193 193 191 194 191 194 195 196 1% 196 196 197 197 198 198 198 199 199 200 200 9.9957528 9.9957350 9.9957172 9.9956993 9.9956815 9.9956635 9.9956166 60 59 58 57 56 55 ,51 7 8 9 10 11 12 9.1498015 9.1506864 9.1515694 9.1524507 9.1533301 9.1542076 10.8501985 10.8493136 10.8484306 10.8475493 10.8466699 10.8457924 9.1541739 9.1550769 9.1559780 9.1568773 9.1577748 9.1586706 9.1595646 9.1604569 9.1613473 9.1622361 9.1631231 9.1640083 10.8158261 10.8449231 10.8440220 10.8451227 10.8422252 10.8413291 10.0013721 10.0013905 10.0044085 10.0044266 10.0044418 10.0014630 9.9956276 9.9956095 9.9955915 9.9955731 9.9955552 9.9955370 53 52 51 50 19 48 13 14 15 16 17 18 9.1550834 9.1559574 9.1668296 9.1577000 9.1585686 9.1594354 10.8449166 10.8440426 10.8431704 10.8423000 10.8414314 10.8405646 10.8404354 10.8395431 10.8386527 10.8377639 10.8368769 10.8359917 10.0044812 10.0044995 10.0045178 10.0045361 10.0015515 10.0045729 9.9955188 9.9955005 9.9954822 9.9954639 9.9954465 9.9954271 47 46 45 44 43 42 19 20 21 22 23 24 9.1603005 9.1611639 9.1620254 9.1628853 9.1637434 9.1645998 10.8396995 10.8388361 10.8379746 10.8371147 10.8362506 10.8354002 9.1648919 9.1657737 9.1666538 9.1675322 9.1684089 9.1692839 10.8351081 10.8342263 10.8333162 10.8321678 10.8315911 10.8307161 10.0045913 10.0016098 10.0046283 10.0016169 10.0016655 10.0046811 9.995-1087 9,9953902 9.9953717 9.9953531 9.9953345 9.9953159 41 40 39 38 37 H 35 34 33 32 31 30 25 26 27 28 29 30 9.1654544 9.1663074 9.1671586 9.1680081 9.1688559 9.1697021 10.8345456 10.8336926 10.8328414 10.8319919 10.8311441 10.8.302979 9.1701572 9.1710289 9.1718989 9.1727672 9.1736338 9.1744988 10.8298128 10.8289711 10.8281011 10.8272328 10.8263662 10.8255012 10.0017028 10.0017215 10.0017403 10.0047591 10.0017779 10.0017967 10.004815~6 10.0048316 10.0018536 10.00187:26 10.0048916 10.0019107 9.9952972 9.9952785 9.9952597 9.9952409 9.9952'2'21 9.9952033 31 32 33 34 35 36 9.1705465 9.1713893 9.1722305 9.1730699 9.1739077 9,1747439 10.8294535 10.8286107 10.8277695 10.8269301 10.8260923 10.8252561 9.1753622 9.1762239 9.1770840 9.1779425 9.1787993 9.1796516 10.8246378 10.8237761 10.8229160 10.8220575 10.8212007 10.8203451 9.9951844 9.9951654 9.9951464 9.9951274 9.9951084 9.9950893 29 28 27 , 26 j 25 24 37 38 39 40 41 42 9.1755784 9.1764112 9.1772425 9.1780721 9.1789001 9.1797265 10.8244216 10.8236888 10.8227575 10.8:219279 10.8210999 10.8202735 9.1805082 9.1813602 9.1822106 9.1830595 9.1839068 9.1847525 10.8191918 10.8186398 10.8177891 10.8169405 10.8160932 10.8162175 10.0049:298 10.0019190 10.0019682 10.0019871 10.00500(57 10.0050260 9.9950702 9.9950510 9.9950318 9.9950126 9.9949933 9.9949740 2.3 22 21 20 19 18 i 43 44 45 46 47 48 9.1805512 9.1813744 9.1821960 9.1830160 9,1838344 9> 1846512 10.819-14.88 10.8186256 10,8178010 10,8169810 10,8161656 10.8153488 9.1855966 9.1861392 9.1872802 9.1881196 9.1889575 9,1897939 10.8144031 10.8135608 10.8127198 10.811K!01 10.8110125 10.8102061 10.0050151 10.0060618 10.0050812 10.0061036 10.0051231 10.0051127 9.99-19546 9.99-19352 9.99-1-9158 9.9918964 9.9948769 9.9948573 17 i 16 15 11 13 12 49 50 51 52 53 54 9.1854665 9.1862802 9.1870923 9.1879029 9.1887120 9.1895195 10.8145335 10.8137198 10.8129077 10.8120971 10.8112880 10.8104805 9.1906287 9.1914621 9.1922939 9.1931241 9.1939529 9.1947802 10.8093713 10.8085379 10.8077061 10.8068759 10.8060171 10.8052198 10.0051623 10.0051819 10.0052015 10.0052212 10.0052 M>'. 10.0052607 9.9918377 9.99-18181 9.99479f!y 9.9947788 9.9917591 9.9947393 11 ! 10 9 ! 8 , 7 6 55 56 57 68 59 60 9.1903254 9.1911299 9.1919328 9.1927342 9.1935341 9,1943324 10.8096746 10.S088701 10.8080672 10.8072658 10.806.1659 10.8056676 9.1956059 9.1964302 9.1972530 9.1980743 9.1988911 9.1997125 10.8013911 10.8035693 10.8027170 10.HO 19257 10.801105!) 10.8002IJ76 10.0052805 10.0053003 10.0053202 10.0063401 1U.0063601 10.0053801 9.9947195 9.9916997 9.9916798 9.9916599 9.9916399 9.9946199 5 1 2 / Co-sine. Dif. Secant. Co-tang. Dif. Tangent. Co-secant. Dif. Sine. / 98 81 LOGARITHMIC SINES, &c. 9 1 70 / Sine. Dif. 7969 7954 7939 7924 7909 7894 7880 7865 7851 7836 7822 7807 7792 7779 7764 7750 7736 7721 7708 7693 7680 7666 7651 7638 7624 7611 7597 7583 7569 7556 7543 7529 7516 7502 7489 7476 7462 7450 7436 7423 7410 7397 7385 7371 7358 7346 7333 7320 7307 7295 7282 7270 7257 7245 7232 7220 7207 7196 7183 7170 Co-secant. Tangent. Dif. Co-tangent. Secant. Dif. Co-sine. / 1 2 3 4 5 6 9.1943324 9.1951293 9.1959247 9.1967186 9.1975110 9.1983019 9.1990913 10.8056676 10.8048707 10.8040753 10.8032814 10.8024890 10.8016981 10.8009087 9.1997125 9.2005294 9.2013449 9.2021588 9.2029714 9.2037825 9.2045922 8169 8155 8139 8126 8111 8097 8082 8068 8054 8039 8026 8012 7997 7984 7969 7956 7942 7929 7914 7901 7888 7873 7861 7847 7833 7820 7807 7794 7780 7767 7754 7742 7728 7715 7702 7689 7676 7664 7651 7638 7626 7612 7601 7588 7575 7563 7550 7539 7525 7514 7501 74<)0 7477 7465 7453 7440 7429 7417 7405 7394 10.8002875 10.7994706 10.7986551 10.7978412 10.7970286 10.7962175 10.7954078 10.0053801 10.0054001 10.0054202 10.0054403 10.0054604 10.0054806 10.0055008 200 201 201 201 202 202 203 202 204 203 205 204 205 205 205 206 207 206 207 208 208 208 208 209 210 209 211 210 211 211 212 212 212 213 213 213 214 214 215 215 215 216 216 217 217 217 218 218 218 219 219 219 220 221 220 221 222 2 C> '2 222 222 "oil 9.9946199 9.9945999 9.9945798 9.9945597 9.9945396 9.9945194 9.9944992 60 59 58 57 56 55 54 7 8 9 10 11 12 9.1998793 9.2006658 9.2014509 9.2022345 9.2030167 9.2037974 9.2045766 9-2053545 9.2061309 9.2069059 9.2076795 9.2084516 10.8001207 10.7993342 10.7985491 10.7977655 10.7969833 10.7962026 9.2054004 9.2062072 9.2070126 9.2078165 9.2086191 9.2094203 10.7945996 10.7937928 10.7929874 10.7921835 10.7913809 10.7905797 10.0055211 10.0055413 10.0055617 10.0055820 10.0056025 10.0056229 9.9944789 9.9944587 9.9944383 9.9944180 9.99,43975 9.9943771 53 52 51 50 49 48 13 14 15 16 17 18 10.7954234 10.7946455 10.7938691 10.7930941 10.7923205 10.7915484 9.2102200 9.2110184 9.2118153 9.2126109 9.2134051 9.2141980 10.7897800 10.7889816 10.7881847 10.7873891 10.7865949 10.7858020 10.0056434 10.0056639 10.0056844 10.0057050 10.0057257 10.0057463 9.9943566 9.9943361 9.9943156 9.9942950 9.9942743 9.9942537 47 46 45 44 43 42 19 20 21 22 23 24 9.2092224 9.2099917 9.2107597 9.2115263 9.2122914 9.2130552 10.7907776 10.7900083 10.7892403 10.7884737 10.7877086 10.7869448 10.7861821 10.7854213 10.78-16616 10.7839033 10.7831464 10.7823908 9.2149894 9.2157795 9.2165683 9.2173556 9.2181417 9.2189264 10.7850106 10.7842205 10.7834317 10.7826444 10.7818583 10.7810736 10.0057670 10.0057878 10.0058086 10.0058294 10.0058502 10.0058711 9.9942330 9.9942122 9.9941914 9.9941706 9.9941498 9.9941289 41 40 39 38 37 36 25 26 27 28 29 30 9.2138176 9.2145787 9.2153384 9.2160967 9.2168536 9.2176092 9.2197097 9.2204917 9,2212724 9.2220518 9.2228298 9.2236065 10.7802903 10.7795083 10.7787276 10.77'/L'!!i2 10.7771702 10.7763935 10.0058921 10.0059130 10.0059341 10.0059551 10.0059762 10.0059973 9.9941079 9.9940870 9.9940659 9.9940449 9.9940238 9.9940027 35 34 33 32 31 30 31 32 33 34 35 36 9.2183635 9.2191164 9.2198680 9.2206182 9.2213671 9.2221 147 10.7816365 10.7808836 10.7801320 10.7793818 10.7786329 10.7778853 9.2243819 9.2251561 9.2259289 9.2267004 9.2274706 9.2282395 10.7756181 10.7748439 10.7740711 10.7732996 10.7725294 10.7717605 10.0060185 10.0060397 10.0060609 10.0060822 10.0061035 10.0061248 9.9939815 9.9939603 9.9939391 9.9939178 9.9938965 9.9938752 29 28 27 26 25 24 37 38 39 40 41 42 9.2228609 9.2236059 9.2243495 9.2250918 9.2258328 9.2265725 10.7771391 10.7763941 10.7756505 10.7749082 10.7741672 10.7734275 10.7726890 10.7719519 10.7712161 10.7704815 10.7697182 10.7690162 9.2290071 9.2297735 9.2305386 9.2313024 9.2320650 9.2328262 10.7709929 10.7702265 10.7694614 10.7686976 10.7679350 10.7671738 10.0061462 10.0061676 10.0061891 10.0062106 10.0062321 10.0062537 9.9938538 9.9938324 9.9938109 9.9937894 9.9937679 9.9937463 23 22 21 20 19 18 43 44. 45 46 47 48 9.2273110 9.2280481 9.2287839 9.2295185 9.2302518 9.2309838 9.2335863 9.2343451 9.2351026 9.2358589 9.2366139 9.2373678 10.7664137 10.7656549 10.7648974 10.7641411 10.7633861 10.7626322 10.0062753 10.0062970 10.0063187 10.0063404 10.0063622 10.0063840 9.9937247 9.9937030 9.9936813 9.9936596 9.9936378 9.9936160 17 16 15 14 13 1 49 50 51 52 53 54 9.2317145 9.2321410 9.2331722 9.2338992 9.2346249 9.2353194 10.7682855 10.7675560 10.7668278 10.7661008 10.7653751 10.7646506 9.2381203 9.2388717 9.2396218 9.2403708 9.2411185 9.2418650 10.7618797 10.7611283 10.7603782 10.7596292 10.7588815 10.7581350 10.0064058 10.0064277 1 0.006 14 LOGARITHMIC SINES, &c. 11 168 / Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. Secant. Dif. Co-sine. / 1 2 3 4 5 6 9.2305988 9.2812133 9.2818967 9.2825441 9.2831905 9.2838359 9.2814803 6495 6484 6474 6464 6454 6444 6434 6424 6415 6404 6395 6385 6376 6365, 6356 6347 6336 6-321 6318 6308 6298 6289 6279 6270 6261 6251 6212 6233 6223 6214 6205 6195 6187 6177 6168 6159 6150 6140 6132 6123 6114 6101 6096 6087 6078 6069 6061 6051 6043 6034 6025 6017 6ooa 5999 5990 5982 5974 5961 5956 5948 10.7191012 10.7187517 10.7181033 10.7174559 10.7168095 10.7161641 10.7155197 9.2886523 9.2893263 9.2899993 9.2906713 9.2913424 9.2920126 9.2926817 6740 6730 6720 6711 6702 6691 6683 6672 6664 6653 6645 6635 6626 6616 6607 6598 6588 6579 6571 6560 6552 6543 6534 6524 6516 6506 6498 6488 6480 6471 6462 6453 6444 6436 6427 6418 6409 6401 6392 6383 6375 6366 6358 6349 6311 6332 6323 6316 6307 6298 6290 6282 6273 6266 6257 6248 6241 6232 6224 6216 10.7113477 10.7106737 10.7100007 10.7093287 10.7086576 10.7079874 10.7073183 10.0080531 10.0080780 10.0081026 10.0081273 10.0081520 10.0081767 10.0082014 246 246 247 247 247 247 249 248 249 249 250 249 251 251 251 251 252 252 253 253 253 254 254 255 255 255 256 256 256 257 257 258 258 258 25S 259 259 260 261 260 261 262 262 262 262 263 264 263 265 264 265 265 266 266 266 267 267 268 268 268 9.9919466 9.9919220 9.9918974 9.9918727 9.9918480 9.9918233 9.9917986 60 59 58 57 56 55 54 7 8 9 10 11 12 9.2851237 9.2857661 9.2861076 9.2870180 9.2876875 9.2883260 10.7148763 10.7142339 10.7135924 10.7129520 10.7123125 10.7116710 9.2933500 9.2940172 9.2946836 9.2953189 9.2960131 9.2966769 10.7066500 10.7059828 10.7053164 10.7046511 10.7039866 10.7033231 10.0082263 10.0082511 10.0082760 10.0083009 10.0083259 10.0083508 9.9917737 9.9917489 9.9917240 9.9916991 9.9916741 9.9916492 53 52 51 50 49 48 13 14 15 16 17 18 9.2889636 9.2896001 9.2902357 9.2908704 9.2915040 9.2921367 10.7110364 10.7103999 10.7097613 10.7091296 10.7084960 10.7078633 9.2973395 9.2980011 9.2986618 9.2993216 9.2999804 9.3006383 10.7026605 10.7019989 10.7013382 10.7006784 10.7000196 10.6993617 10,0083759 10.0084010 10.0084261 10.0084512 10.0084764 10.008.5016 9.9916241 9.9915990 9.9915739 9.9915488 9.9915236 9.9914984 47 46 45 44 43 42 19 20 21 22 23 24 9.2927685 9.2933993 9.2940291 9.2946580 9.2952859 9.2959129 10.7072315 10.7066007 10.7059709 10.7053420 10.7047141 10.7040871 9.3012954 9.3019514 9.3026066 9.3032609 9.3039143 9.3045667 10.6987046 10.6980186 10.6973931 10.6967391 10.6960857 10.6951333 10.0085269 10.0085522 10.0085775 10.0086029 10.0086283 10.0086538 9.9914731 9.9911478 9.9914225 9.9913971 9.9913717 9.9913462 41 40 39 38 37 36 25 26 27 28 29 30 9.2965390 9.2971641 9.2977883 9.2984116 9.2990339 9.2996553 10.7034610 10.7028359 10.7022117 10.7015884 10.7009661 10.7003447 9.3052183 9.3058689 9.3065187 9.3071675 9.3078155 9.3081626 9.3091088 9.3097541 9.3103985 9.3110121 9.3116848 9.3123266 10.6917817 10.6911311 10.6931813 10.6928325 10.6921845 10.6915374 10.0086793 10.0087048 10.0087304 10.0087560 10.0087816 10.0088073 9.9913207 9.9912952 9.9912696 9.9912440 9.9912184 9.9911927 35 34 33 32 31 30 31 32 33 34 35 36 9.3002758 9.3008953 9.3015140 9.3021317 9.3027485 9,3033644 10.6997242 10.6991047 10.6984860 10.6978683 10.6972515 10.6966356 10.6908912 10.6902459 10.6896015 10.6889579 10.6883152 10.6876731 10.0088330 10.0088588 10.0088846 10.0089104 10.0089363 10.0089622 9.9911670 9.9911412 9.9911154 9.9910896 9.9910637 9.9910378 29 28 27 26 25 24 37 38 39 40 41 42 9.3039794 9.3045934 9.3052066 9.3058189 9.3064303 9.3070407 10.6960206 10.6954066 10.6947934 10.6941811 10.6935697 10.6929593 9.3129675 9.3136076 9.3142468 9.3148851 9.3155226 9.3161592 10.6870325 10.6863921 10.6857532 10.6851119 10.6844771 10.6838408 10.0089881 10.0090141 10.0090402 10.0090662 10.0090923 10.0091185 9.9910119 9.9909359 9.9909598 9.9909338 9.9909077 9.9908815 23 22 21 20 19 18 43 44 45 46 47 48 9.3076503 9.3082590 9.3088668 9.3091737 9.3100798 9.3106849 10.6923497 10.6917410 10.6911332 10.6905263 10.6899202 10.6893151 9.3167950 9.3174299 9.3180640 9.3186972 9.3193295 9.3199611 10.6832050 10.6825701 10.6819360 10.6813028 10.6806705 10.6800389 10.0091447 10.0091709 10.0091971 10.0092234 10.0092498 10.0092761 9.9908553 9.9908291 9.9908029 9.9907766 9.9907502 9.9907239 17 16 15 14 13 12 4!) 50 51 52 53 51 9.3112892 9.3118926 9.3121951 9.3130968 9.3136976 9.3112975 10.6887108 10.6881074 10.6875049 10.6869032 10.6863021 10.6857025 9.3205!) Hi 9.3212216 9.3218506 9.3224788 9.3231061 9.3237327 10.6794082 10.6787784 10.6781491 10.6775212 10.6768939 10.6762673 10.0093026 10.0093290 10.0093555 10.0093820 10.0094086 10.0094352 9.9906974 9.9906710 9.9906445 9.9906180 9.9905914 9.9905648 11 10 9 8 7 6 55 5(5 57 58 59 60 9.3148965 9.3154947 9.3160921 9.3166885 9.3172841 9.3178789 10.6851035 10.6815053 10.6839079 10.68a3115 10.6827159 10.6821211 9,3243581 9.3249832 9.3256073 9.3262305 9.3268529 9.3271715 10.6756416 10.67501 (i!J 10.671.-W27 10.C737695 10.6731171 10.6725255 10.0094618 10.0091885 10.0095152 10.0095420 10.0095688 10.0095956 9.9905382 9.9905115 9.9901818 9.9904580 9.9904312 9.9904044 5 4 3 2 1 / Co-sine. Dif. Secant. Co-tang. Dif. Tangent. Co-secant. Dif. Sine. / 1O1 78 LOGARITHMIC SINES, &c. 1'2 167 / Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. Secant. Dif. Co-sine. / 1 2 3 4 5 6 9.3178789 9.3184728 9.3190659 9.3196581 9.3202495 9.3208400 9.3214297 5939 5931 5922 5914 5905 5897 5889 5880 5872 5864 5855 5848 5839 5830 5823 5814 5806 5799 5790 5782 5773 5766 5758 5750 5742 5734 5726 5718 5710 5703 5694 5687 5679 5671 5663 5656 5647 5641 5632 5625 5617 5610 5602 5594 5587 5579 5572 5564 5557 5549 5542 5534 5527 5520 5512 5505 5493 5490 5483 5475 10.6821211 10.6815272 10.6809341 10.6803419 10.6797505 10.6791600 10.6785703 9.3274745 9.3280953 9.3287153 9.3293345 9.3299528 9.3305704 9.3311872 6208 6200 6192 6183 6176 6168 6159 6152 6144 6136 6128 6120 6112 6104 6097 6089 6081 6073 6066 6058 6050 6043 6035 6027 6020 6012 6005 5997 5990 5982 5975 5967 5960 5953 5945 5938 5930 5923 5916 5909 5901 5894 5887 5880 5872 5865 5859 5851 5844 5837 5829 5823 5816 5809 5801 5795 5788 5781 5774 5767 10.6725255 10.6719047 10.6712847 10.6706655 10.6700472 10.6694296 10.6688123 10.0095956 10.0096225 10.0096494 10.0096763 10.0097033 10.0097303 10.0097574 10.0097845 10.0098117 10.0098388 10.0098661 10.0098933 10.0099206 269 269 269 270 270 271 271 272 271 273 272 273 273 274 274 275 275 275 275 276 277 277 277 277 278 279 278 280 279 280 280 281 281 281 282 282 283 283 283 284 284 284 285 286 285 286 287 287 287 287 288 289 289 289 289 290 290 291 291 292 9.9904044 9.9903775 9.9903506 9.9903237 9.9902967 9.9902697 9.9902426 60 59 58 57 56 55 54 7 8 9 10 11 12 9.3220186 9.3226066 9.3231938 9.3237802 9.3243657 9.3249505 10.6779814 10.6773934 10.6768062 10.6762198 10.6756343 10.6750495 9.3318031 9.3324183 9.3330327 9.3336463 9.3342591 9.3348711 10.6681969 10.6675817 10.6669673 10.6663537 10.6657409 10.6651289 9.9902155 9.9901883 9.9901612 9.9901339 9.9901067 9.9900794 53 52 51 50 49 48 13 14 15 16 17 18 9.3255344 9-3261174 9.3266997 9.3272811 9.3278617 9.3284416 10.6144656 10.6738826 10.6733003 10.6727189 10.6721383 10.6715584 9.3354823 9.3360927 9.3367024 9.3373113 9.3379194 9.3385267 10.6645177 10.6639073 10.6632976 10.6626887 10.6620806 10.6614733 10.0099479 10.0099753 10.0100027 10.0100302 10.0100577 10.0100852 9.9900521 9.9900247 9.9899973 9.9899698 9.9899423 9.9899148 47 46 45 44 43 42 19 20 21 22 23 24 9.3290206 9.3295988 9.3301761 9.3307527 9.3313285 9.3319035 10.6709794 10.6704012 10jG693239 10.6692473 10.6686715 10.6680965 9.3391333 9.3397391 9.3403441 9.3409484 9.3415519 9.3421546 10.6608667 10.6602609 10.6596559 10.6590516 10.6584481 10.6578454 10.0101127 10.0101403 10.0101680 10.0101957 10.0102234 10.0102511 9.9898873 9.9898597 9.9898320 9.9898043 9.9897766 9.9897489 41 40 39 38 37 36 25 26 27 28 29 30 9.3324777 9.3330511 9.3336237 9.3341955 9.3347665 9.3353368 10.6675223 10.6669489 10.6663763 10.6658045 10.6652335 10.6646632 9.3427566 9.3433578 9.3439583 9.3445580 9.3451570 9.3457552 10.6572434 10.6566422 10.6560417 10.6551420 10.6548430 10.6542448 10.0102789 10.0103068 10.0103346 10.0103626 10.0103905 10.0104185 9.9897211 9.9896932 9.9896654 9.9896374 9.9896095 9.9895815 35 34 33 32 31 30 31 32 33 34 35 36 9.3359062 9.3364749 9.3370428 9.3376099 9.3381762 9.3387418 10.6640938 10.6635251 10.6629572 10.6623901 10.6618238 10.6612582 9.3463527 9.3469494 9.3475454 9.3481407 9.3487352 9.3493290 10.6536473 10.6530506 10.6524546 10.6518593 10.6512648 10.6506710 10.0104465 10.0104746 10.0105027 10.0105308 10.0105590 10.0105872 9.9895535 9.9895254 9.9894973 9.9894692 9.9894410 9.9894128 29 28 27 26 25 24 37 38 39 40 41 42 9.3393065 9.3398706 9.3404338 9.3409963 9.3415580 9.3421190 10.6606935 10.6601294 10.6595662 10.6590037 10.6584420 10.6578810 9.3499220 9.3505143 9.3511059 9.3516968 9.3522869 9.3528763 10.6500780 10.6494857 10.6488941 10.6483032 10.6477131 10.6471237 10.0106155 10.0106438 10.0106721 10.0107005 10.0107289 10.0107573 10.0107858 10.0108144 10.0108429 10.0108715 10.0109002 10.0109289 9.9893845 9.9893562 9.9893279 9.9892995 9.9892711 9.9892427 23 22 21 20 19 18 43 44 45 46 47 48 9.3426792 9.3432386 9.3437973 9.3443552 9.3449124 9.3454G88 10.6573208 10.6567614 10.6562027 10.6556448 10.6550876 10.6545312 9.3534650 9.3540530 9.3546402 9.3552267 9.3553126 9.3563977 10.6465350 10.6459470 10.6453598 10.6447733 10.6441874 10.6436023 9.9892142 9.9891856 9.9891571 9.9891285 9.9890998 9.9890711 17 16 15 14 13 12 49 50 51 52 53 54 9.3460245 9.3465791 9.3471336 9.3476870 9.3482397 9.3487917 10.6539755 10.6534206 10.6528664 10.6523130 10.6517603 10.6512083 9.3.569821 9.3575658 9.3581487 9.3587310 9.3593126 9.3598935 10.6430179 10.6424342 10.6418513 10.6412690 10.6406874 10.6401065 10.0109576 10.0109863 10.0110151 10.0110440 10.0110729 10.0111018 9.9890424 9.9890137 9.9889849 9.9889560 9.9889'271 9.9888982 11 10 9 8 7 6 55 56 57 58 59 60 9.3493129 9.3498934 '.3504432 9.3509922 9.3515405 9.3520880 10.6506571 10.6501066 10.6495568 10.6490078 10.6484595 10.6479120 9.3604736 9.3610531 9.3616319 9.3622100 9.3627874 9.3633641 10.6395264 10.6389469 10.6383681 10.6377900 10.6372126 10.6366359 10.0111307 10.0111597 10.0111887 10.0112178 10.0112469 10.0112761 9.9888693 9.9888403 9.9888113 9.9887822 9.9887531 9.9887239 5 4 3 2 1 / Co-sine. Dif. Secant. Co-tang. Dif. Tangent. Co-secant. Dif. Sine. / 102 77 LOGARITHMIC SINES, &c. s 13 166 Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. Secant. Dif. Co-sine. / 1 2 3 4 5 6 9.3520880 9.3526349 9.3531810 9.3537264 9.3542710 9.3548150 9.3553582 5469 5461 5454 5146 5140 5432 5425 5419 5410 5404 5397 5390 5382 5376 5369 5361 5355 5347 5341 5334 5327 5320 5313 5306 5300 5292 5286 5279 5272 5266 5258 5252 5245 5239 5232 5225 5219 5212 5205 5199 5192 5186 5179 5172 5166 5160 5153 5146 5140 5134 5127 5121 5114 5108 5102 5095 5089 5082 5077 5070 10.6479120 10.6173651 10.6468190 10.6 162736 KM 1157290 10.6451850 10.6446418 9.3633611 9.:'>639ioi 9.3615155 9.3650901 9.3656641 9.3662371- 9.3668100 5760 5751 5716 5740 &T33 5726 5719 5713 5706 5699 5692 5686 5679 5673 5666 5659 5653 5646 5639 5633 5627 5620 5613 5607 5601 5594 5588 5581 5675 5568 5563 5555 5550 5543 5537 5531 5524 5518 5512 5506 5500 5493 5487 5481 5475 5469 5463 5456 5451 5444 5439 5432 5427 5420 5414 5109 5 102 5397 5391 5385 10.6366359 10.6360599 10.6351815 10.63-19099 10.6313359 10.6337626 10.6331900 10.01 12761 10.0113053 10.01133lv) 10.01 i;;<;:i7 io.on;; ( t;;o 10.0114224 10.0114518 292 292 21)2 293 294 294 294 294 295 296 295 296 297 297 297 298 298 298 299 299 300 300 300 301 301 302 302 302 303 303 303 304 304 305 305 306 305 307 306 307 308 307 309 308 309 309 310 310 311 311 311 311 313 312 313 313 314 314 31 1. 315 9.9887239 9.9881 ;y 17 9.9886655 9.98M363 9.9886070 9.9885776 9.9885482 60 59 58 57 56 55 54 7 8 9 10 11 12 9.3559007 9.3564426 9.3569836 9.3575240 9.3580637 9.3586027 10.6440993 10.6435574 10.6430164 10.6424760 10.6419363 10.6413973 9.3673819 9.3679532 9.3685238 9.3690937 9.3696629 9.3702315 10.6326181 10.6320468 10.6314762 10.6309063 10.6303371 10.6297685 10.0114812 10.0115106 10.0115401 10.0115697 10.01 1599'2 10.0116288 9.9885188 9.9884894 9.9884599 9.9884303 9.9884008 9.9883712 53 52 51 50 49 48 13 14 15 16 17 18 9.3591409 9.3596785 9.3602154 9.3607515 9.3612870 9.3618217 10.6408591 10.6403215 10.6397846 10.6392485 10.6387130 W.6381783 9.3707994 9.3713667 9.3719333 9.3724992 9.3730645 9.3736291 10.6292006 10.6286333 10.6280667 10.6275008 10.6269355 10.6263709 10.0116585 10.0116882 10.0117179 10.0117477 10.0117775 10.0118073 9.9883415 9.9883118 9.9882821 9.9882523 9.9882225 9.9881927 47 46 45 44 43 42 * 19 20 21 22 23 24 9.3623558 9.3628892 9.3634219 9.3639539 9.364-185:2 9.3650158 10.6376442 10.6371108 10.6365781 10.6360161 10.6355148 10.6349842 9.3741930 9.3747563 9.3753190 9.3758810 9.37641-23 9.3770030 10.6258070 10.6252437 10.6246810 10.6241190 10.6235577 10.6229970 10.0118372 10.0118671 10.0118971 10.0119271 10.0119571 10.0119872 9.9881628 9.9881329 9.9881029 9.9880729 9.9880429 9.9880128 41 40 39 38 37 36 25 26 27 28 29 30 9.3655 158 9.: 5660750 9.3666036 9.3671315 9.3676587 9.36!! Ui53 10.6344542 10.6339250 10.6333961 1 0.632: !i ;:;;, 10.6323413 10.6318147 9.3775631 9.3781225 9.3786813 9.3792394 9.3797969 9.3803537 10.6224369 10.6218775 10.6213187 10.6207606 10.6202031 10.6196463 10.0120173 10.0120475 10.0120777 10.0121079 10.0121382 10.0121685 9.9879827 9.9879525 9.9879223 9.9878921 9.9878618 9.9878315 35 34 33 32 31 30 31 32 33 34 35 36 9.3687111 9.3692363 9.3697608 9.3702847 9.3708079 9.3713304 1 0.631 2,%'9 10.6307637 10.6302392 10.6297153 10.6291921 10.6286696 9.3809100 9.3814655 9.3820205 9.3825748 9.3831285 9.3836816 10.6190900 10.6185345 10.6179795 10.6174252 10.6168715 10.6163184 10.0121988 10.0122292 10.0122596 10.0122901 10.0123206 10.0123512 9.987801-2 9.9877708 9.9877404 9.9877099 9.9876794 9.9876488 29 28 27 26 25 24 37 38 39 40 41 42 9.3718523 9.3723735 9.3728940 9.3734139 9.3739331 9.3744517 10.6281477 10.6276265 10.6271060 10.6265861 10.6260669 10.6255483 9.3812310 9.384-7858 9.3853370 9.3858876 9.3864376 9.3869869 10.6157660 10.6152142 10.6146630 10.6141124 10.6135624 10.6130131 10.0123817 10.0121121 10.01 21430 10.0121737 10.0125045 10.0125352 9.9876183 9.9875876 9.9875570 9.9875263 9.9874955 9.9874648 23 22 21 20 19 18 43 44 45 46 47 48 9.3749696 9.3754868 9.3760034 9.3765194 9.3770347 9.3775493 10.6250304 10.6245132 10.6239966 10.6234806 10.6229653 10.6224507 9.3875356 9.3880837 9.3886312 9.3891781 9.3897244. 9.3902700 10.6124644 10.6119163 10.6113688 10.6108219 10.61027.56 10.6097300 10.0125661 10.0125969 10.0126278 10.0126587 10.0126897 10.0127207 9.9874339 9.9874031 9.9873722 9.9873413 9.9873103 9.9872793 17 16 15 14 13 12 49 50 51 52 53 54 9.3780633 9.3785767 9.3790894 9.3796015 9.3801129 9.3806237 10.6219367 10.62142,33 10.6209106 10.6203985 10.6198871 10.6193763 9.3908151 9.3913595 9.3919034 9.3924466 9.3929893 9.3935313 10.6091849 10.6086405 10.6080966 10.6075534 10.6070107 10.6064687 10.0127518 10.0127829 10.0128140 10.0128451 10.0128764 10.0129076 9.9872482 9.9872171 9.9871860 9.9871549 9.9871236 9.9870924 11 10 9 8 7 6 55 56 57 58 59 60 .9.3811339 9.:5I6];{| 9.3821523 9.3826605 9.3831682 9.3836752 10.6188661 10.61835(56 10.6178177 10.6173395 10.6168318 10.6163218 9.3940727 9.3916136 9.3!)51/53[! 9.3956935 9.3962326 9.39G7711 Co-tang. 10.6059273 10.60538(54 10.6018162 10.6013065 10.6037674 10.6032289 10.0129389 10.0129702 10.0130016 10.0130330 10.OJ.W14 10.0130959 9.9870611 9.9869984 9.9869670 9.9::69:.5f>6 9.9869041 5 4 3 2 / Co-sine. Dif. Secant. Dif. Tangent. (\) secant. Dif. Sine. / 1O3 76 LOGARITHMIC SINES, &c. 14 165 / Sine. Dif 4 Co-secant. Tangent. Dif. Co-tangent. Secant. Dif. Co-sine. / 2 3 4 5 6 9.3836752 9.3841815 9.3846873 9.3851924 9.3856969 9.3862008 9.3867040 5063 5058 5051 5045 5039 5032 5027 5020 5014 5008 5002 4995 4990 4983 4978 4971 4965 4959 4953 4947 4942 4935 4929 4923 4918 4911 4905 4900 4894 4887 4882 4876 4871 4864 4859 4853 4847 4841 4835 4830 4824 4818 4813 4807 4801 4796 4790 4781 4779 4773 4767 4762 4756 4751 4745 4739 4734 4729 4723 4717 10.6163248 10.6158185 10.6153127 10.6148076 10.6143031 10.6137992 10.6132960 9.3967711 9.3973089 9.3978463 9.3983830 9.3989191 9.3994547 9.3999896 5378 5374 5367 5361 5356 5349 5344 5338 5332 5327 5321 5315 5309 5304 5298 5292 5287 5281 5275 5270 5264 5259 5253 5247 5242 5236 5231 5225 5220 5215 5208 5204 5198 5192 5187 5182 5176 5171 5166 5160 5155 5149 5145 5139 5133 5129 5123 5117 5113 5107 5103 5097 5091 5087 5081 5077 5071 5066 5061 5056 10.6032289 10.6026911 10.6021537 10.6016170 10.6010809 10.6005453 10.6000104 10.0130959 10.0131274 10.0131590 10.0131906 10.0132222 10.0132539 10.0132856 315 316 316 316 317 317 317 318 318 319 319 320 320 320 320 321 322 322 322 323 323 323 324 324 324 325 326 325 327 326 327 327 328 328 329 328 330 329 330 331 331 331 332 332 332 333 333 334 333 335 335 335 335 336 337 336 337 338 338 338 9.9869041 9.9868726 9.9868410 9.9868094 9.9867778 9.9867461 9.9867144 60 59 58 57 56 55 54 7 8 9 10 11 12 9.3872067 9.3877087 9.3882101 9.3887109 9.3892111 9.3897106 10.6127933 10.6122913 10.6117899 10.6112891 10.6107889 10.6102894 9.4005240 9.4010578 9.4015910 9.4021237 9.4026558 9.4031873 10.5994760 10.5989 122 10.5984090 10.5978763 10.5973442 10.5968127 10.5962818 10.5957514 10.5952216 10.5946924 10.5941637 10.5936356 10.0133173 10 1 0133491 10.0133809 10.0134128 10.0134447 10.0134767 9.9866827 9.9866509 9.9866191 9.9865872 9.9865553 9.9865233 53 52 51 50 49 48 13 14 15 1C 17 18 9.3902096 9.3907079 9,3912057 9.3917028 9.3921993 9.3926952 10.6097904 10.6092921 10.6087943 10.6082972 10.6078007 10.6073048 9.4037182 9.4042486 9.4047784 9.4053076 9.4058363 9.4063644 10.0135087 10.0135407 10.0135727 10.0136048 10.0136370 10.0136602 9.9864913 9.9864593 9.9864273 9.9863952 9.9863630 9.9863308 47 46 45 44 43 42 19 20 21 22 23 24 25~ 26 27 28 29 30 9.3931905 9.3936852 9.3941794 9.3946729 9.3951658 9.3956581 9.3961499 9.3966410 9.3971315 9.3976215 9.3981109 9.3985996 10.6068095 10.6063148 10.6058206 10.6053271 10.6048342 10.6043419 9.4068919 9.4074189 9.4079453 9.4084712 9.4089965 9.4095212 9.4100454 9.4105690 9.4110921 9.4116146 9.4121366 9:4126581 10.5931081 10.592581 1 10.5920547 10.5915288 10.5910035 10.5904788 10.0137014 10.0137337 10.0137660 10.0137983 10.0138307 10.0138631 9.9862986 9.9862663 9.9862340 9.9862017 9.9861693 9.9861369 9.9861045 9.9860720 9.9860394 9.9860069 9.9859742 9.9859416 41 40 39 38 37 36 35 34 33 32 31 30 10.6038501 10.6033590 10.6028685 10.6023785 10.6018891 10.6014004 10.5899546 10.5894310 10.5889079 10.5883854 10.5878634 10.5873419 10.0138955 10.0139280 10.0139606 10.0139931 10.0140258 10,0140684 3] 32 33 34 35 36 9.3990878 9.3995754 9.4000625 9.4005489 9.10103.18 9.4015201 10.6009122 10.6004246 10.5999375 10.5994511 10.5989652 10.5984799 &4131789 9.4136993 9.4142191 9.4147383 9.4152570 9.4157752 9.4162928 9.4168099 9.4173265 9.4178425 9.4183580 9.4188729 10.5868211 10.5863007 10.5857809 10.5852617 10.5847430 10.5842248 10.0140911 10.0141238 10.0141566 10.0141894 10.0142223 10.0142551 9.9859089 9.9858762 9.9858434 9.9858106 9.9857777 9.9857449 29 28 27 26 25 24 37 38 39 40 41 42 9.402004S 9.4024889 9.4029724 9.4034554 9.4039378 9.4044196 10.5979952 10.5975111 10.5970276 10.5965446 10.5960622 10.5955804 10.5837072 10.5831901 10.5826735 10.5821575 10.5816420 10.5811271 10.0142881 10.0143210 10.0143540 10.0143871 10.0144202 10.0144533 9.9857119 9.9856790 9.9856460 9.9856129 9.9855798 9.9855467 23 22 21 20 19 18 43 44 45 46 47 48 9. 10 19009 9.4053816 9.4058617 9.4063413 9.4068203 9.4072987 10.5950991 10.5944! 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Co-sine. / 1 2 3 4 5 6 9.4403381 9.4407784 9.4412182 9.4416576 9.4420965 9.44-25349 9.4429728 4403 4398 4394 4389 438 1 4379 4375 4369 4365 4360 4356 4351 4346 4341 4336 4332 4327 4323 4318 4313 4309 4304 4299 4295 4290 4285 4281 4276 4272 4267 4263 4258 4253 4249 4245 4240 4235 4231 4226 4222 4218 4213 4209 420 1 4200 4195 4191 4186 4182 4178 4173 4169 4165 4160 4156 4151 4148 41 13 4138 4134 10.5596619 10.5592216 10.5587818 10.5583124 10.5579035 10.5574651 10.5570272 9.4574964 9.4579730 9.4584491 9.4589248 9.4594001 9.4598749 9.4603492 4766 4761 4757 4753 4748 4743 4740 4735 4730 4726 4722 4718 4713 4709 4705 4700 4696 4692 4687 4683 4679 4675 4671 4666 4662 4658 4653 4650 4645 4641 4637 4633 4629 4625 4620 4616 4613 4608 4604 4600 4596 4592 4588 4583 4580 4576 4571 4568 4564 4560 4555 4552 4548 4514 4540 4536 4532 4528 4524 4520 10.5425036 10.5420270 10.5415509 10.5410752 10.5405999 10.5401251 10.5396508 10.5391768 10.5387033 10.5382303 10.5377577 10.5372855 10.5368137 10.0171584 10.0171946 10.0172309 10.0172672 10.0173036 10.0173400 10.0173764 362 363 363 364 364 364 365 365 366 366 366 367 367 368 368 369 368 370 369 370 371 370 372 371 372 373 373 373 373 374 375 375 375 375 376 377 377 377 377 378 379 379 379 380 380 380 381 381 382 382 382 383 383 384 384 384 385 385 386 386 Dif. 9.9828416 9.9828054 9.9827691 9.9827328 9.9826964 9.9826600 9.982(5236 60 59 58 57 56 55 54 7 8 9 10 11 12 9.4434103 9.4438472 9.4442837 9.4447197 9.4451553 9.1455904 10.5565897 10.5561528 10.5.357163 10.555:2803 1 0.55 UJ 147 10.5544096 9.4608232 9.4612967 9.4617697 9.4622423 9.4627145 9.4631863 10.0174129 10.0174494 10.0174860 10.0175226 10.0175592 10.0175959 9,9825871 9.9825506 9.9825140 9.9824774 9.9824408 9.9824041 53 52 51 50 49 48 13 14 15 16 17 18 9.4460250 9-4464591 9.4468927 9.4473259 9.4477586 9.4481909 10.5539750 10.5535409 10.5531073 10.5526741 10.5522414 10.5518091 9.4636576 9.4641285 9.4645990 9.4650690 9.4655:586 9.46600-78 10.5363424 10.5358715 10.5354010 10.5349310 10.5344614 10.5339922 10.0176326 10.0176694 10.0177062 10.0177431 10.0177799 10.0178169 9.9823674 9.9823306 9.9822938 9. 9822569 9.9822201 9.9821831 47 46 45 44 43 42 19 20 21 22 23 24 9.4486227 9.4490540 9.4194849 9.4499153 9.4503452 9.4507747 10.5513773 10.5509460 10.5505151 10.5500847 10.5496548 10.54.92253 9.4664765 9.4669448 9.4674127 9.4678802 9.4683473 9.4688139 10.5335235 10.5330552 10.5325873 10.5321198 10.5316527 10.5311861 10.0178538 10.0178908 10.0179279 10.0179649 10.0180021 10.0180392 9.9821462 9.9821092 9.9!:20721 9.9820351 9.9819979 9.9819608 41 40 39 38 37 36 25 26 27 28 29 30 9.4512037 9.4516322 9.4520603 9.4524879 9.4529151 9.4633418 10.5487963 10.5483678 10.5179397 10.5475121 10.5470849 10.5466582 9.4692801 9.4697459 9.4702112 9.4706762 9.4711407 9.4716048 10.5307199 10.5302514 10.5297888 10.5293238 10.5288593 10.5283952 10.0180764 10.0181137 10.0181510 10.01818:!:* 10.0182256 10.0182(530 9.9819236 9.9818863 9.9818490 9.9818117 9.9817744 9.9817370 35 34 33 32 31 30 31 32 33 34. 35 3G 9.4537681 9. 4 5 1 1939 9.4546192 9.4550441 9.4554686 9.4553926 10.5162319 10.5458061 10.5453808 10.5449559 10.54-15314 10.5441074 9.4720685 9.4725318 9.4729947 9.4734572 9.4739192 9.4743808 10.5279315 10.5274682 10.5270053 10.5265428 10.5260808 10.5256192 10.5251579 1 0.524697 1 10.5242367 10.5237767 10.5233171 10.522857!) 10.0183005 10.0183380 10.0183755 10.0184130 10.0181506 10.0184883 9.9816995 9.9816620 9.9816245 9.9815870 9.9815494 9.9815117 29 28 27 26 25 24 37 38 39 40 41 42 9.4563161 9.4567392 9.4571618 9.4575840 9.4580058 9.4584271 10.5436839 10.5432608 10.5428382 10.5124160 10.5119942 10.5115729 9.4748421 9.4753029 9.4757633 9.4762233 9.4766829 9.4771421 10.0185260 10.0185637 10.0186014 10.0186392 10.0186771 10.0187150 9.9814740 9.9814363 9.9813986 9.9813603 9.9813229 9.9812850 23 22 21 20 19 18 43 44. 45 46 47 48 9.4588480 9.4592684 9.4596884 9.4601079 9.4605270 9.4609456 10.5 Ml 520 10.5 10731 6 10.5103116 ] 0.5398921 10.539 1.7. JO 10.5390544 9.4776009 9.4780592 9.4785172 9.4789748 9.4794319 9.4798887 10.5223991 10.5219408 10.3214828 10.5210252 10.52056C1 10.5201113 10.0187529 10.0187909 10.0188289 10.0188669 10.0189050 10.018!) 131 9.9812471 !i.!>;;i20!i] 9.9811711 9.9811331 9.9810950 9.9810569 17 16 15 14 13 12 49 50 51 52 53 54 9.4613633 9.4617816 9.4621989 9.4626158 9.4630323 9.4634483 10.5386362 10.5382)84 10.5378011 10.5373842 10.5369677 10.5365517 9.4803451 9.4808011 9.4812566 9.4817118 9:4821666 9.4826210 10.519651!) 10.5191989 10.5187434 10.5182882 10.5178334 10.5173790 10.01 8981 3 10.0190195 10.0190577 10.0190960 10.0191343 10.0191727 9.9810187 !).9!!091X)5 9.9809423 9.9809040 9.9!!(>n657 9.W08273 11 10 9 8 7 6 55 5G 57 58 59 60 / 9.4638639 9.4642790 9.46 16!)38 9.4651081 9.465521!) 9.4659353 10.5361361 10.5357210 10.5353062 10.53 445919 10.53 117!! 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Co-sine. / 1 2 3 4 5 6 9.4659353 9.4663483 9.4667609 9.4671730 9.4675848 9.4679960 9.4684069 4130 4126 4121 4118 4112 4109 4104 4100 4096 4092 4087 4083 4079 4075 4071 4066 4063 4058 4054 4049 4046 4042 4037 4033 4030 4025 4021 4016 4013 4009 4005 4000 3997 3992 3989 3984 3981 3976 3973 3968 3965 3960 3957 3952 3949 3941 3941 3937 3932 3929 3925 3921 3917 3914 3909 3905 3902 3898 3894 3890 10.5340617 10.5336517 10.5332391 10.5328270 10.5324152 10.5320010 10.5315931 9.4853390 9.4857907 9.4862419 9.4866928 9.4871433 9.4875933 9.4880430 4517 4512 4509 4505 4500 4497 4494 4489 4485 4482 4478 4474 4470 4467 4462 4459 4456 4451 4448 4443 4441 4436 44-33 4429 4425 4422 4417 4415 4410 4407 4403 4400 4396 4392 4389 4385 4381 4378 4374 4371 4367 4363 43GO 4356 4,353 4349 4346 434-2 4339 4335 4331 4328 4325 4321 4317 4315 4310 4307 4304 4300 10.5146610 10.5142093 10.5137581 10.5133072 10.5128567 10.5124067 10.5119570 10.0194037 10.0194423 10.0194810 10.0195197 10.0195585 10.0195973 10.0196361 386 387 387 388 388 388 389 390 389 390 391 391 391 392 392 392 393 393 394 394 394 395 396 395 396 397 397 397 398 398 399 398 400 399 401 400 401 401 402 402 403 403 403 404 404 405 405 405 406 406 407 407 407 408 408 409 409 410 409 411 Dif. 9.9805963 9.9805577 9.9805190 9.9804803 9.9804415 9.9804027 9.9803639 60 59 58 57 56 55 54 7 8 9 10 11 9.4688173 9.4692273 9.4696369 9.4700461 9.4704548 9.4708631 10.5311827 10.5307727 10.5303631 10.5299539 10.5295452 10.5291369 9.4884924 9.4889413 9.4893898 9.4898380 9.4902858 9.4907332 10.5115076 10.5110587 10.5106102 10.5101620 10.5097142 10.5092668 10.0196750 10.0197140 10.0197529 10.0197919 10.0198310 10.0198701 9.9803250 9.9802860 9.9802471 9.9802081 9.9801690 9.9801299 53 52 51 50 49 48 13 14 15 16 17 18 9.4712710 9.4716785 9.4720856 9.4724922 9.4728985 9.4733043 10.5287290 10.5283215 10.5279144 10.5275078 10.5271015 10.5266957 9.4911802 9.4916269 9.4920731 9.4925190 9.4929646 9.4934097 10.5088198 10.5083731 10.5079269 10.5074810 10.5070354 10.5065903 10.0199092 10.0199484 10.0199876 10.0200268 10.0200661 10.0201054 9.9800908 9.9800516 9.9800124 9.9799732 9.9799339 9.9798946 47 46 45 44 43 42 19 20 21 22 23 24 9.4737097 9.4741146 9.4745192 9.4749234 9.4753271 9.4757304 10.5262903 10.5258854 10.5254808 10.5250766 10.5246729 10.5242696 9.4938545 9.4942988 9.4947429 9.4951865 9.4956298 9.4960727 10.5061455 10.5057012 10.5052571 10.5048135 10.5043702 10.5039273 10.0201448 10.0201842 10.0202236 10.0202631 10.0203027 10.0203422 9.9798552 9.9798158 9.9797764 9.9797369 9.9796973 9.9796578 41 40 39 38 37 36 25 2G 27 28 29 30 9.4761334 9.4765359 9.4769380 9.4773396 9.4777409 9.4781418 10.5238666 10.5234641 10.5230620 10.5226604 10.5222591 10.5218582 9.4965152 9.4969574 9.4973991 9.4978406 9.4982816 9,4987223 10.5034848 10.50304S6 10.5026009 10.5021594 10.5017184 10.5012777 10.0203818 10.0204215 10.0204612 10.0205009 10.0205407 10.0205805 9.9796182 9.9795785 9.9795388 9.9794991 9.9794593 9.9794195 35 34 33 32 31 30 31 32 33 34 35 36 9.4785423 9.4789423 9.4793420 9.4797412 9.4801401 9.4805385 10.5214577 10.5210577 10.5206580 10.5202588 10.5198599 10.5194615 9.4991626 9.4996026 9.500Q422 9.5004814 9.5009203 9.5013588 10.5008374 10.5003974 10.4999578 10.4995186 10.4990797 10.4986412 10.0206204 10.0206602 10.0207002 10.0207401 10.0207802 10.0208202 9.9793796 9.9793398 9.9792998 9.9792599 9.9792198 9.9791798 29 28 27 26 25 24 37 38 39 40 41 42 9.4809366 9.4813342 9.4817315 9.4821283 9.4825248 9.4829208 10.5190634 10.5186653 10.5182685 10.5178717 10.5174752 10.5170792 9.5017969 9.5022347 9.5026721 9.5031092 9.5035459 9.5039822 10.4982031 10.4977653 10.4973279 10.4968908 10.4964541 10.4960178 10.0208603 10.0209004 10.0209406 10.0209808 10.0210211 10.0210614 9.9791397 9.9790996 9.9790594 9.9790192 9.9789789 9.9789386 23 22 21 20 19 18 43 44 45 4G 47 48 9.4833165 9.4837117 9.4841066 9.4845010 9.4848951 9.4552888 10.51GG835 10.5162883 10.5158934 10.5151990 10.5151049 10.5147112 9.5014182 9.5048538 9.5052891 9.5057240 9.5061586 9.5065928 10.4955818 10.4951462 10.4947109 10.4942760 10.4938414 10.4934072 10.0211017 10.0211421 10.0211825 10.0212230 10.0212635 10.0213040 9.9788983 9.9788579 9.9788175 9.9787770 9.9787365 9.9786960 17 16 15 14 13 12 49 50 51 52 53 54 9.4856820 9.4860749 9.4864674 9.4868595 9.4872512 9.4876426 10.5143180 10.5139251 10.5135326 10.5131405 10.5127488 10.5123574 9.5070267 9.5074602 9.5078933 9.5083261 9.5087586 9.5091907 10.4929733 10.4925398 10.4921067 10.4916739 10.4912414 10.4908093 10.0213446 10.0213852 10.021425!) 10.02MGC6 10.0215073 10.0215481 9.9786554 9.9786148 9.9785741 9.9785334 9.9784927 9.9784519 11 10 9 8 7 6 55 56 51 58 59 60 9.4880335 9.4384240 9.4888142 9.4892040 9.4895934 9.4899824 10.5119665 10.5115760 10.5111858 10.5107960 10.5104066 10.5100176 9.50,96224 9.5100539 9.5104849 9.5109156 9.5113460 9.5117760 10.4903776 10.4899461 10.4895151 10.4890814 10.4886540 10.4882240 10.0215889 10.0210298 10.0216707 10.0217117 io.02nra; 10.0217937 9.9784111 9.9783702 9.9783293 9.9782883 9.9782474 9.9782063 5 4 3 2 / Co-sine. Dif. Secant. Co-tang. Dif. Tangent. Co-secant. Sine. / 107 72 LOGARITHMIC SINES, &c. 18 161 / Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. Secant. Dif. Co-sine. / 2 3 4 5 6 9.4899824 9.4903710 9.4907592 9.4911471 9.4915345 9.4919216 9.4923083 3886 3882 3879 3874 3871 3867 3863 3860 3855 3852 3848 3344 3841 3837 3833 3829 3825 3822 3818 3814 3811 3807 3803 3800 3795 3793 3788 3785 3781 3777 3774 3770 3767 3763 3759 3756 3752 3748 3745 3741 3738 3734 3731 3727 3723 3720 3716 3713 3709 3306 3702 3698 0(595 3692 3683 3681 3677 3675 3670 10.5100176 10.5096290 10.5092408 10.5088529 10.5084655 10.5080784 10.5076917 9.5117760 9.5122057 9.5126351 9.5130641 9.5134927 9.5139210 9.5143490 4297 4294 4290 4286 4283 4280 4276 4273 4270 4266 4263 4259 4256 4253 4249 4246 4243 4239 4236 4233 4230 4226 4222 4220 4216 4213 4210 4206 4204 4200 4196 4194 4190 4187 4184 4181 4177 4174 4171 4168 4165 4161 4153 4156 4152 4148 4146 4143 4139 4137 4133 4130 4127 4124 4121 4117 4115 4112 4108 4106 10.4882240 10.4877943 10.4873619 10.1869359 10.4865073 10.4860790 10.4856510 10.0217937 10.0218317 10.0218759 10.0219170 10.0219582 10.0219994 10.0220407 410 412 411 412 412 413 413 414 413 415 415 415 415 416 417 416 418 417 418 419 418 420 419 420 421 421 421 422 422 422 423 423 424 424 425 425 425 426 426 427 427 427 428 428 429 429 429 430 430 431 431 4; 52 431 433 433 433 :433 434 435 434 9.9782063 9.9781653 9.9781241 9.9780830 9.9780418 9.9780006 9.9779593 60 59 58 57 56 55 54 7 8 9 10 11 12 9.4926946 9.4930806 9.4934661 9.4938513 9.4942361 9.4946205 10.5073054 10.5069194 10.5065339 10.5061487 10.5057639 10.5053795 9.5147766 9.5152039 9.5156309 9.5160575 9.5164838 9.5169097 10.4852234 10.4847961 10,4843691 10.4831) 125 10.4835162 10,4830903 10.0220820 10.0221234 10.0221647 10.0222062 10.0222477 10.0222892 9.9779180 9.9778766 9.9778353 9.9777938 9.9777523 9.9777108 53 52 51 50 49 48 13 14 15 16 17 18 9.4950046 9.4953883 9.4957716 9.4961545 9.4965370 9.4969192 10.5049954 10.5046117 10.5042284 10.5038155 10.5034630 10.5030808 9.5173353 9.5177606 9.5181855 9.5186101 9.5190314 9.5194583 10.4826647 10.4822394 10.4818145 10.4813899 10.4809656 10.4805417 10.0223307 10.0223723 10.0224140 10.0224556 10.0224974 10.0225391 9.9776693 9.9776277 9.9775860 9.9775444 9.9775026 9.9774609 47 46 45 44 43 42 19 20 21 22 23 24 9.4973010 9.4976824 9.4980635 9.4984442 9.4988245 9.4992015 10.502G990 10.5023176 10.5019365 10.5015558 10.5011755 10.5007955 9.5198819 9.5203052 9.5207282 9.5211508 9.5215730 9.5219950 10.4801181 10.4796948 10.4792718 10.4788492 10.4784270 10.4780050 10.4775834 10.4771621 10.476741 1 10.4763205 10.4759001 10.4754801 10.0225809 10.0226228 10.0226646 10.0227066 10.0227485 10.0227905 9.9774191 9.9773772 9.9773354 9.9772934 9.9772515 9.9772095 41 40 39 38 37 36 25 26 27 28 29 30 9.4995810 9,4999633 9.5003421 9.5007206 9.5010987 9.5014764 9.50185$ 9.5022308 9.5026075 9.5029838 9.5033597 9.5037353 10.5004160 10.5000367 10.4996579 10.4992791 10.4939013 10.4985236 9.5224166 9.5228379 9.5232589 9.5236795 9.5240999 9.5245199 10.0228326 10.0228747 10.0229168 10.0229590 10.0230012 10.0230434 9.9771674 9.9771253 9.9770832 9.9770410 9.9769988 9.9769566 35 34 33 32 31 30 31 32 33 34 35 36 10.4981462 10.4977692 10.4973925 10.4970162 10.4966103 10.4962617 9.5219395 9.5253589 9.5257779 9.5261966 9.5266150 9.5270331 10.4750605 10.4746411 10.4742221 10.473(5034 10.4733850 10.4729669 10.0230857 10.0231280 10.0231704 10.0232128 10.0232553 10.0232978 9.9769143 9.9768720 9.9768296 9.9767872 9.9767447 9.9767022 29 28 27 26 25 24 37 38 39 j 40 41 42 9.5041105 9.5044353 9.5048598 9.5052339 9.5056077 9.5059311 10.4958895 10.4955147 10.4951102 10.4947661 10.19131)2.) 10.4910189 9.5274508 9.5278682 9.5282853 9.5287021 9.5291186 9.52!>53i.7 10.4.725492 10.4721318 10.4717147 10.4712979 10.4708814 10.4701653 10.0233403 10.0233829 10.0234255 10.0231682 10.0235109 10.0235536 9.9766597 9.9766171 9.9765745 9.9765318 9.9764891 9.9764464 23 22 21 20 19 18 43 44 45 46 47 48 9.5063542 9.5067269 9.5070992 9.5074712 9.5073128 9.5082141 10.4936458 10.49327;! 1 10.1929003 10.492/j :;;;: 10.492157:2 10.4917859 9. 52:)9505 9.5303(56 1 9.5307813 9.5311961 9.5316107 9.5320250 10.4700495 10. 1(596339 10.4692187 10.4688039 10.4683893 10.4679750 10.0235964 10.0236392 10.0236321 10.0237250 10.0237679 10.0238109 9.97(i!03(i 9.9763608 9.9763179 9.9762750 9.9762321 9.9761891 17 16 15 14 13 12 49 50 51 52 53 51 9.5085350 9.5089536 9.5093258 9.5096956 9.5100651 9.510131.3 10,1914150 10, 19101 !1 loik)67J2 io:i!5o304 i 10.W99349 10,1395657 9.5321389 9.5328526 9.5332659 9.5336789 9.5340916 ! 1.5:11 50-10 9.53l91(n 9.5353:278 9.5357393 9.53(51505 9.5365613 9.5369719 10.4675611 10.467147-1 10,166731.1 10.4663211 10.4659084 10.4654960 10.0233531) 10.0238970 10.0239401 10.0239833 10.02102(51 10.0240697 9.9761461 9.9761030 9.97(50599 !>.'7<;(>li57 9.9759736 9.9759303 11 10 9 8 7 6 55 5' ! 57 53 5'J 60 9.510803] JI.51 11716 9.5 1 15:39 7 9.51 1907 !- 9.5122749 9.51264-19 JO. -189 19< 5!) 10. i:: 10.4884603 10.4830926 10.4877251 10,1873531 10.46508.59 10.46 K5722 10.4642607 10,!' 5:18 1-1)5 1 0.if531.387 10.4630281 10.0241130 10.0241563 10.0241996 10.0242430 10.021.2865 10.0243299 9.9753870 9.9758437 9.9757.5001 9.9757570 9.9757135 9.9756701 Siiie. 5 4 3 1 / 1< Co-Biue. Dif. Secant. Co-tan jr. Dif. Tangent. Co-secant. Dif. , / 38 71 | LOGARITHMIC SINES, &c. 19 160 / Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. S< cunt. I)if. Co-sine. / 1 29!> 1 0.0243735 10.0244170 10.02-116<)i; 10.02 4501,; 10.0215479 10.0245917 436 435 436 437 436 438 437 438 439 439 439 440 440 441 441 441 142 111 4-13 443 413 444 444 445 445 445 446 447 446 447 448 448 448 419 44-9 450 450 451 451 451 452 452 452 453 453 454 45-1 455 455 456 455 457 456 457 458 458 458 459 459 460 9.9756701 9.9756265 9.9755830 9.97553U4 9.9754957 9.9754521 9.9754083 60 59 58 57 56 55 _54 53 52 51 50 49 48 7 8 9 10 11 12 9.5152017 9.5155660 9.5159300 9.5162936 9.5 166569 9.5170198 10,1847983 10, 18 14310 10.1810700 10/1837064 10.4833131 10.4829802 9.5398371 9.5402453 9.5406531 9.5410606 9.5414678 9.5418747 10.4601(529 10.4-597547 10.4593469 1 0.4589394 10.4585322 10.4581253 10,0246351- 10.0246792 10.0247231 10.0247670 10.0248109 10.0248549 9.9753646 9.9753208 9.9752769 9.9752330 9.9751891 9.9751451 13 14 15 16 17 13 9.5173824 9-5177447 9.5181066 9.5184682 9.5188295 9.5191904 10.4826176 10.4822553 10.4818934 10.4815318 10.4811705 10.480809(5 9.5422813 9.542(5877 9.5430937 9.5434994 9.5139048 9.5443100 10.4577187 10.4573123 10.4569063 10.4565006 10.4560952 10.4556900 10.0248989 10,0249430 10.0249871 10,0250312 10.0250754 10.0251196 9.9751011 9.9750570 9.9750129 9.9749688 9.9749246 9.9748804 47 46 45 44 '43 42 19 20 21 22 23 24 9.5195510 9.5199112 9.5-202711 9.5206307 9.5209899 9.5213488 10.4804490 10.4800888 10.47972!!!) 10.4793(593 10.4790101 10.4786512 9.5147148 9.5451193 9.51.w2:56 9.54-59276 9.5463312 9.5167316 10.4552852 10.4548807 10.4544764 10.4640724 10.4536688 10.4532654 10.0251639 10.0252082 10.0252525 10.0252969 10.0253413 10.0253853 9.9748361 9.9747018 9.9747475 9.9747031 9.9746587 9.9746142 41 40 39 38 37 36 25 26 27 28 29 30 9.5217074 9.5220656 9.5224235 9.5227811 9.5231383 9.5234953 10.4782926 10.47793 14 10.4775765 10.4772189 10.4768617 10.4765047 9.5471377 9.5475405 9.5179130 9.5483452 9.5487471 9.5491487 10.4528623 10.4524595 10.4520570 10.4516548 10.4512529 10.4508513 10.0254303 10.0254748 10.0255194 10.0255641 10.0256087 10.0256534 9.9745697 9.9745252 9.9744806 9.9744359 9.9743913 9.9743466 35 34 33 32 31 30 31 32 33 34 35 3G 37 38 39 40 41 42 9.5238518 9.5242081 9.5245640 9.5249196 9.5252749 9.5256298 10.4761482 10.4757919 10.4754360 10.4750804 10.4747251 10.4743702 9.5495500 9.5199511 9.5503519 9.5507523 9.5511525 9.5515524 10.4504500 10.4500439 10.4496481 10.4492477 10.4488475 10.4484476 10.0256982 10. 02571. :i> 10.0257878 10.0258327 10.0258776 10.0259226 9.9743018 9.9742570 9.9742122 9.9741673 9.9741224 9.9740774 9.9740324 9.9739873 9.9739422 9.9738971 9.9738519 9.9738067 29 28 27 26 25 24 23 22 21 20 19 18 9.5259844 9.5263387 9.52(56927 9.5270463 9.5273997 9.5277526 10.4740156 10.4736613 10.473:5073 10.4729537 10.4726003 10,4722474 9.5519521 9.5523514 9.5527504 9.5531492 9.5535477 9. 553!) 159 10.4480479 10.4476486 10.4472496 10.44(58508 10.1 161523 10.4460541 10.0259676 10.0260127 10.0260578 10.0261029 10.0261481 10.0261933 43 44 45 46 47 48 9.5281053 9.5284577 9.5288097 9.5291614 9.5295128 9.5298638 10,1718947 10.4715423 10.4711903 10.4708386 10.4704872 10.47013(52 9.5543138 9.5547415 9.5551388 9.5555359 9.5559327 9.5563292 10.4-156562 10.4452585 10.4448612 10.4441641 10.4440673 10.4436708 10.0262385 10.026283!} 10.0263291 10.0263715 10.0264199 10.0264654 9.9737615 9.9737162 9.9736709 9.9736255 9.9735801 9.973534(5 17 16 15 14 13 12 49 50 51 52 53 54 9.5302146 9.5305650 9.5309151 9.5312619 9.5316113 9.5319635 10.4697!!5! 10.- 169-1^0 10.4690849 10.1687351 IO.UW3857 10. 4680365 9.55(57255 9.5571214 9.5575171 9.5579125 9.6583077 9.5587025 10.4432745 10.- 1-1 2878(5 io.U2i;;29 10.4-12: 5875 10.4416923 10.4412975 10.0265109 10.02655(55 1().02(i6'l20 10.0266477 10.0266933 10.0267390 9.9734 C'.M 9.9731435 9.9733980 9.9733523 9.9733067 9.9732610 11 10 9 8 7 6 55 51 i 57 58 59 60 9.5323123 9.5326608 9.5330090 9.5333569 9.5337044 9.5310517 10.-1676877 10.467: i. : ! )2 10,-1669!)I() 10.4666131 10.461 10.4659 l!!3 9.5590971 9.5591 91 1 9.5598854 9.56027')'.' 9.5606727 9.5610i;.j9 10.4409029 10.4-1 05086 10,1-101 1 16 10,1:51)7208 10.4393273 10.4389341 Tangent. 10.02(57848 10.0268306 10.0268761 10.0269223 10.02i 10.0270142 9.9732152 9.9731694 9.9731236 9.9730777 9.9730318 9.9729858 5 4 3 2 T o / < '(i-sinc. Dif. Becnnt. Co-tan :. Dif. Co-secant. Dif. Sine. / 100 70 LOGARITHMIC SINES, &c. 20 159 / Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. Secant. 1 0.02701 4~2 10.0270602 10.0271062 10.0271523 10.0271984 10.0272146 10.0272908 Dif. Co-sine. / 1 2 3 4 5 6 9.5340517 9.5343986 9.5347452 9.5350915 9.5354375 9.5357832 9.5361286 3469 3466 3463 3460 3457 3454 3451 3447 3445 3441 3438 3435 3432 3429 3426 3423 3420 3416 3414 3411 3407 3405 3401 3399 3395 3392 3390 3386 a384 3380 3377 3375 3371 3369 3365 3362 3360 3357 3353 3351 3347 3345 3342 3339 3336 3333 3330 3327 3321 3321 3319 3315 3313 3310 3307 3301 3301 3298 3295 3293 10.4659483 10.4656014 10.4652548 10/1649085 10.4645625 10.4642168 10.4638714 9.5610659 9.5614588 9.5618515 9.5622439 9.5626360 9.5630278 9.5634194 3929 3927 3924 3921 3918 3916 '3913 3911 3907 3906 3902 3900 3897 3894 3892 3889 3886 3884 3881 3879 3876 3873 3871 3868 3865 3863 3860 3858 3855 3853 3850 3847 3845 3842 3840 3837 3834 3832 3830 3827 3824 3822 3819 3817 3815 3811 3810 3807 3804 3802 3799 3797 3794 3792 3790 3787 3784 3782 3780 3777 10.4389341 10.4385412 10.4381485 10.4377561 10.4373640 10.4569722 10.4365806 460 460 461 461 462 462 463 463 463 464 464 465 465 465 466 466 467 467 467 468 469 468 470 469 470 471 471 471 472 472 472 473 474 473 475 474 475 476 476 476 477 477 477 478 479 479 479 480 480 480 481 482 481 483 482 483 484 484 484 485 9.9729858 9.9729398 9.9728938 9.9728477 9.9728016 9.9727554 9.9727092 60 59 58 57 56 55 54 7 8 9 10 11 12 9.5364737 9.5368184 9.5371629 9.5375070 9.5378508 9.5381943 10.4635263 10.4631816 10.4628371 10.4624930 10.4621492 10.4618057 9.5638107 9.5642013 9.5645925 9.5649831 9.5653733 9.5657633 10.4361893 10.4557982 10.4354075 10.4350169 10.4346267 10.4342367 10.0273371 10.0273834 10.0274297 10.0274761 10.0275225 10.0275690 9.9726629 9.9726166 9.9725703 9.9725239 9.9724775 9.9724310 53 52 51 50 49 48 13 14 15 16 17 18 9.5385375 9.5388804 9.5392230 9.5395653 9.5399073 9.5402489 10.4614625 10.4611196 10.4607770 10.4604347 10.4600927 10.4597511 9.5661530 9.5665424 9.5669316 9.5673205 9.5677091 9.5680975 10.4338470 10.4334576 10.4330684 10.4326795 10.4322909 10.4319025 10.0276155 10.0276620 10.0277086 10.0277552 10.0278019 10.0278486 9.9723845 9.9723380 9.9722914 9.972'2448 9.9721981 9.9721514 47 46 45 44 43 42 19 20 21 22 23 24 9.5405903 9.5409314 9.5412721 9.5416126 9.5419527 9.5422926 10.4-594097 10.4590686 10.4587279 10.4583874 10.4580473 10.4577074 9.5684856 9.5688735 9.5692611 9.5696484 9.5700355 9.5704223 10.4315144 10.4311265 10.4307389 10.4303516 10.4299645 10.4-295777 10.0278953 10.0279121 10.0279890 10.0280358 10.0280828 10.0281297 9.9721047 9.9720579 9.9720110 9.9719642 9.9719172 9.9718703 41 40 39 38 37 36 25 '26 27 28 29 30 9.5426321 9.5429713 9.5433103 9.5436489 9.5439873 9.5443253 10.4573679 10.4570287 10.4566897 10.4563511 10.4560127 10.4556747 9.5708088 9.5711951 9.5715811 9.5719669 9.5723524 9.5727377 10.4291912 10.4288049 10.4284189 10.4280331 10.4276476 10.4272623 10.0281767 10.0282238 10.0282709 10.0283180 10.0283652 10.0284124 9.9718233 9.9717762 9.9717291 9.9716820 9.9716348 9.9715876 35 34 33 32 31 30 31 32 33 34 35 36 9.5146630 9.5150005 9.5153376 9.5156745 9.54601 10 9.5463 1-72 10.4553370 10.4549995 10.4546624 10.4543255 10.4539890 10.4536528 9.5731227 9.5735074 9.5738919 9,5742761 9.5746601 9.5750438 10.4268773 10.4264926 10.4261081 10.4257239 10.4253399 10.4249562 10.0284596 10.0285069 10.0285543 10.0286016 10.0286491 10.0286965 9.9715404 9.9714931 9.9714457 9.9713984 9.9713509 9.9713035 29 28 27 26 25 24 37 38 39 40 41 42 9. 5466832 9.5470189 9.5473542 9.5176803 9.5 1802 40 9.5483585 10.4333168 10.4529811 10.1526.15!) 10.4523107 10.4519760 10.4516415 9.5754272 9.5758104 9.5761934 9.5765761 9.5769585 9.5773407 10.4245728 10.4241896 10.4238066 10.4234239 10.4230415 10.4226593 10.0287440 10.0287916 10.0288392 10.0288868 10.0289345 10.0289822 9.9712560 9.9712084 9.9711608 9.9711132 9.9710655 9.9710178 23 22 21 20 19 18 43 44 -45 46 47 48 9.5186927 9.51.90266 9.5 1.9.5602 9.5496935 9.5500265 9.5503592 10.4513073 10.4509734 10.4506398 10.4503065 10.4199735 10.4496408 9.5777226 9.5781043 9.578 W58 9.5788669 9.6798479 9.5796286 10.4222774 10.4218957 10.4215142 10.4211331 10.4207521 10.4203714 10.0290299 10.0290777 10.0291256 10.0291735 10.0292214 10.0292694 9.9709701 9.9709223 9.9708744 9.9708265 9.9707786 9.9707306 17 16 15 14 13 12 49 50 51 52 53 54 9.5506916 9.5510237 9.5513556 9.5.31M71 9.5520181 9.5523191 10.4493084 10.4489763 10.4486444 10.4183129 10.4179816 10,1476506 10.4473199 10.4 169,' 195 10.4466591 10.4463296 10.4460001 10.4456708 9.5800090 9.5803892 9.5807691 9.5811488 9.5815282 9.5819074 10.4199910 10.4196108 10.4192309 10.4188512 10.4184718 10.4180926 10.0293174 10.0293654 10.0294135 10.0294617 10.0295098 10.0295581 9.9706826 9.9706346 9.9705865 9.9705383 9.9704902 9.9704419 11 10 9 8 7 6 5 4 3 2 55 56 57 58 59 60 9.5526801 9.5530105 9.5533406 9.5536704 9.5539999 9.5543292 9.5822864 9.5826651 9.5830435 9.5834217 9.5837997 9.5841774 10.4177136 10.4173349 10.4169565 10.4165783 10.4162003 10.4158226 10.0296063 10.0296546 10.0297030 10.0297514 10.0297998 10.0298483 9.9703937 9.9703454 9.9702970 9.9702486 9.9702002 9.9701517 / Co-sine. Dif. Secant. Co-tang. Dif. Tangent. Co-secant. Dif. Sine. / 110 69 LOGARITHMIC SINES, &c. 21 158 / Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. Secant. Dif. Co-sine. / 1 .> 3 4 5 6 9.5543292 9.5546581 9.5553152 9.5556133 9.5559711 9.5562987 3289 3287 3281- 3281 3278 3276 3272 3270 3267 3264 3261 3258 3256 3253 3250 3247 3244 3242 3239 3236 3233 3231 3227 3225 3223 3219 3217 3214 3211 3208 3206 3203 3200 3198 3195 3192 3189 3187 3184- 3181 3179 3176 3173 3170 3168 3166 3162 3160 3157 3155 3151 3150 3146 3144 3141 3139 3136 3133 3131 3128 10.4456708 10.4153449 10,1150132 10.4446848 10.4443567 10,1440289 10.4437013 9.5841774 9.5845549 9.5819321 9.5853091 9.5856859 9.5860624 9.5864386 3775 3772 3770 3768 3765 3762 3761 3757 3756 3753 3750 3749 3745 3744 3741 3739 3736 3734 3731 3730 3727 3724 3722 3720 3718 3715 3713 3710 3708 3706 3704 3701 3699 3697 3691 3692 3690 3688 3685 3683 3680 3679 3676 3674 3672 3669 3667 3665 3663 3660 3658 3656 3654 3652 3649 3647 3645 3643 3640 3639 10.4158226 10.41511.51 10.4150679 10.4146909 10.4143141 10.4139.fi6 10.4135614 10.0298 l!!3 10.0298968 10.0299453 10.0299939 10.0300426 10.0300913 10.0301400 485 485 486 487 487 487 488 488 188 489 489 490 491 490 491 492 492 492 493 493 493 495 494 495 495 496 496 497 497 497 498 498 499 499 499 600 501 501 501 502 502 502 503 503 504 504 505 505 506 506 506 507 507 508 508 508 509 509 510 510 9.9701517 9.9701032 9.9700547 9.9700061 9.9699574 9.9699087 9.9698600 60 59 58 57 56 55 51 7 8 9 10 11 12 9.55(16259 9.5569529 9.5572796 9.5576060 9.5579321 9.5582579 10.4433741 10.4430471 10.4427204 10.4423910 10.4420679 10.4417421 9.5868147 9.5871904 9.5875660 9.5879413 9.5883163 9.5886912 10.4131853 10.4128096 10.412 loll I 10.41205H7 10.41 lli!:.)7 10.4113088 1 0.030 J!MJ 10.0302376 10.030:2::(i! 10.030335.3 10.0303!! 12 10.0304332 9.9698112 9.9697624 9.9697136 9.!)l i'J66 17 9.9696158 9.9695668 53 52 51 50 49 48 13 11 15 16 17 18 9.55858.35 9.5589088 9.5592338 9.5595585 9.5598829 9.5602071 10.4414165 10.4410912 10.4407662 10.4401415 10.4401171 10.4397929 9.5890657 9.5894401 9.5898142 9.5901881 9.5905617 9.5909351 10.4109343 10.4105599 10.4101858 10.4098119 10.4094383 10.4090649 10.0304823 10.0305313 10.0305804 10.0306296 io.03067:;t; 10.0307280 9.9695177 9.96916J57 9.9694196 9.9693704 9.9693212 9.9692720 47 46 45 44 43 42 19 20 21 22 23 24 9.5605310 9.5608546 9.5611779 9.5615010 9.5618237 9.5621462 10.4394690 10.4391454 10.4388221 10.4384990 10.4381763 10.4378538 9.5913082 9.5916812 9.5920539 9.5924263 9.5927985 9.5931705 10.4086918 10.4083188 10.4079461 10.4075737 10.4072015 10/1068295 10.0307773 10.0308266 10.0308769 10.0309254 10.0309718 10.0310243 9.9692227 9.9691734 9.9691241 9.9690746 9.9690252 9.9689767 41 40 39 38 37 36 25 2(5 27 28 29 30 9. 51 i'2 J6o'5 9.5627904 9.5631121 9.5634335 9.5637546 9.5640754 10.4375315 10.4372096 10/1368879 10.4365665 10.4362454 10.4359246 9.5935423 9.5939138 9.5942851 9.5916561 9.5950269 9.5953975 10.4064577 10.4060862 10/1057149 10.4053439 10.4049731 10.4046025 10.0310738 10.0311 2,5 1 1 0.031 17: :o 10.031 22 J7 10.0312721 10.0313221 9.9689262 9.9688766 9.9(if;i!270 9.96JJ7773 9.9687276 9.9686779 35 34 33 32 31 30 31 *)2 33 34 35 36 9.5643960 9.5647163 9.5650363 9.5653561 9.5656756 9.5659948 10.4356040 10.4352837 10.4349637 10.4346439 10.4343244 10.4340052 9.5957679 9.5961380 9.5965079 9.5968776 9.6972470 9.5976162 10.404.2321 10.4038620 10.4034921 10.4031224 10.4027530 10.4023838 10.0313719 10.0314217 10.0314716 10.0315215 10.0315714 10.0316211 10.0316715 10.0317216 10.0317717 10.0318219 10.0318721 10.0319223 9.9686281 9.9685783 9.9685284 9.9684785 9.96!;i'2;;r> 9.9683786 29 28 27 26 25 24 37 38 39 40 41 42 9.5663137 9.5666324 9.5669508 9.5672689 9.5675868 9.5679044 10.4336863 10.4333676 10.4330 192 10.4327311 10.4324132 10/1320956 9.5979852 9.5983540 9.5987225 9.5990908 9.5994588 9.5998267 10.4020118 10.4016460 10.4012775 10.4009092 10.1005412 10.4001733 9.9683285 9.9682781 9.9682283 9.9681781 9.968127!) 9.9680777 23 22 21 20 19 18 43 44 45 46 47 48 9.5682217 9.56K53K7 9.5688555 9.5691721 9.5694883 9.5698043 10.4317783 10.4314613 10.4311445 10.4308279 10,4305117 10.4301957 9.6001943 9.6005617 9.6009289 9.6012958 9.6016625 9.6020290 10.3998057 10.3994383 10.3990711 10.3987012 10.3983375 10.3979710 10.0319726 10.0320229 10.0320733 10.0321237 10.0321712 10.0322247 9.9680271 9.9679771 9.9679267 9.9678763 9.9(57825:5 9.9677753 17 16 15 14 13 12 49 50 51 52 53 51- 9.5701200 9.5704355 9.5707506 9.5710656 9.5713802 9.5716916 10.4298800 10.4295645 10.4292494 10.4289314 10.4286198 10.4283054 9.6023953 9.6027613 9.6031271 9.6034927 9.6038581 9.6012233 10.3976047 10.3972387 10.3968729 10.3965073 10.3961419 10.3957767 10.0322753 10.032.5 2:->! i 10.0323765 10.032 1272 10.032 1779 10.0325287 9.9677247 9.9676741 9. 9(57l 5235 9.9675728 9.9675221 9.9674713 9.9671205 9.9673697 9.9673188 9.9(572679 9.9(57216!) 9.9671659 11 10 9 8 7 6 55 56 57 58 59 60 9.5720087 9.5723226 9.5726362 9.5729495 9.5732626 9.5735754 10.4279913 10.4276774 10.4273638 10.4270505 10.4267374 10.4264246 9.604-5882 9.6049529 9.6053174 9.6056817 9.60(50457 9.6064096 10.3954118 10.3950471 10.394682(5 10.3943183 10.3939543 10.3935904 10.0325795 10.0326303 10.0326812 10.0327321 10.0327831 10.0328341 5 4 3 2 1 / Co-sine. Dif. Secant. Co-tang. Dif. Tangent. Co-secant. Dif. Btee. / 111 68 LOGARITHMIC SINES, &c. 22 157 / Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. Secant. Dif. Co-sine. / 1 2 3 4 5 6 7 8 9 10 11 12 9.5735754 9.5738880 9.5742003 9.5745123 9.5748240 9.5751356 9.5754468 3126 3123 3120 3117 3116 3112 3110 3107 3105 3102 3099 3097 3095 3092 3089 3086 3085 3081 3079 3077 3073 3072 3069 3066 3064 3061 3059 3056 3053 3052 3048 3046 3044 3041 3039 3036 3034 3031 3029 3026 3024 3021 3019 3016 3014 3011 3009 3007 3004 3001 3000 2996 2995 2992 2989 2987 2985 2982 2980 2977 10.426424C 10.4261120 10.4257997 10.4254877 10.4251760 1 0.42486 44 10.4245532 9.6064096 9.6067732 9.6071366 9.6074997 9.6078627 9.6082254 9.6085880 3636 3634 3631 3630 3627 3626 3623 3621 3618 3617 3614 3613 3610 3608 3605 3604 3602 3599 3598 3595 3593 3591 3589 3586 3585 3583 3580 3579 3576 3574 3572 3570 3568 3566 3564 3562 3560 3557 3556 3554 3551 3550 3547 3546 3543 3541 3540 3537 3536 3533 3531 3529 3528 3525 3523 3522 3519 3518 3515 3513 10.3935904 10.3932268 10.3928634 10.3925003 10.3921373 10.3917746 10.3914120 10.0328341 10.0328852 10.0329363 10.0329875 10.0330386 10.0330899 10.0331412 511 511 512 511 513 513 513 513 514 515 515 515 516 516 517 517 517 518 518 519 519 520 520 521 521 521 522 522 522 524 523 524 524 525 525 526 526 527 527 527 528 528 529 529 529 530 531 530 532 531 533 532 533 534 533 535 534 536 535 536 9.9671659 9.9671148 9.9670637 9.9670125 9.9669614 9.9669101 9.9668588 60 59 58 57 56 55 54 9.5757578 9.5760685 9.5763790 9.5766892 9.5769991 9.5773088 10.42424-22 10.4239315 10.4236210 10.4233108 10.4230009 10.4226912 9.6089503 9.6093124 9.6096742 9.6100359 9.6103973 9.6107586 10.3910497 10.3906876 10.3903258 10.3899641 10.3896027 10.3892414 10.0331925 10.0332 438 10.0332952 10.0333467 10.03331)82 10.0334497 9.9668075 9.9667562 9.9667048 9.9666533 9.9666018 9.9665503 53 52 51 50 49 48 13 14 15 16 17 18 9.5776183 9.5779275 9.5782364 9.5785450 9.5788535 9.5791616 10.4223817 10.4220725 10.4217636 10.4214550 10.421 1465 10.4208384 9.6111196 9.6114804 9.6118409 9.6122013 9.6125615 9.6129214 10.3888804 10.3885196 10.3881591 10.3877987 10.3874385 10.3870786 10.0335013 10.0335529 10.033(5046 10.0336563 10.0337080 10.0337598 9.9664987 9.9664471 9.9663954 9.9663437 9.9662920 9.9662402 47 46 45 44 43 42 19 20 21 22 23 24 9.5794695 9.5797772 9.5800845 9.5803917 9.5806986 <<.5810052 10.4205305 10.4202228 10.4199155 10.4196083 10.4193014 10.4189948 9.6132812 9.6136407 9.6140000 9.6143591 9.6147180 9.6150766 10.3867188 10.3863593 10.3860000 10.3856409 10.3852820 10.3849234 10.0338116 10.0338635 10.0339154 10.0339674 10.0340194 10.034X3715 9.9661884 9.9661365 9.9660846 9.9660326 9.9659806 9.9659285 41 40 39 38 37 36 25 26 27 28 29 30 9.5813116 9.5816177 9.5819236 9.5822292 9.5825345 9.5828397 10.4186884 10.4183823 10.4180764 10.4177708 10.4174655 10.4171603 9.6154351 9.6157934 9.6161514 9.6165093 9.6168669 9.6172243 10.3845649 10.3842066 10.3838486 10.3834907 10.3831331 10.3827757 10.0341236 10.0341757 10.0342279 10.0342801 10.0343323 10.0343847 9.9658764 9.9658243 9.9657721 9.9657199 9.9656677 9.9656153 35 34 33 32 31 30 31 32 33 34 35 36 9.5831445 9.5834491 9.5837535 9.5840576 9.5843615 9.5846651 10.4168555 10.4165509 10.4162465 10.4159424 10.4156385 10.4153349 9.ul75815 9.6179385 9.6182953 9.6186519 9.6190083 9.6193645 10.3824185 10.3820615 10.3817047 10.3813481 10.3809917 10.3806355 10.0344370 10.0344894 10.0345418 10.034^943 10.0346468 10.0346994 9.9655630 9.9655106 9.9654582 9.9654057 9.9653532 9.9653006 29 28 27 26 25 24 37 38 39 40 41 42 9.5849685 9.5852716 9.5855745 9.5858771 9.5861795 9.5864816 10.4150315 10.4147284 10.4144255 10.4141229 10.4138205 10.4135184 9.6197205 9.6200762 9.6204318 9.6207872 9.6211423 9.6214973 10.3802795 10.3799238 10.3795682 10.3792128 10.3788577 10.3785027 10.0347520 10.0348047 10.0348574 10.0349101 10.0349629 10.0350157 9.9652480 9.9651953 9.9651426 9.9650899 9.9650371 9.9649843 23 22 21 20 19 18 43 44 4,5 46 47 48 9.5867835 9.5870851 9J3873865 9.5876876 9.5879885 9.58:12892 10.4132165 10.4129149 10.4126135 10.4123124 10.4120115 10.4117108 9.6218520 9.G22206G 9.6225609 9.6229150 9.6232690 9.6236227 10.3781480 10.3777934 10.3774391 10.3770850 10.3767310 10.3763773 10.0350686 10.0351215 10.0351744 10.0352274 10.0352805 10.0353335 9.9649314 9.9648785 9.9648256 9.9647726 9.9647195 9.9646665 17 16 15 14 13 12 43 50 51 52 53 54 9.5885896 9.5888897 9.5891897 9.5894893 9.5897888 9.5900880 10.4114404 10.4111103 10.4108103 10.4105107 10.4102112 10.4099120 9.6239763 9.6243296 9.6246827 9.6250356 9.6253884 9.6257409 10.3760237 10.375670! 10.375)5173 10.3749644 10.3746116 10.3742591 10.0353867 10.0354398 10.0354931 10.0355463 10.0355996 10.0356530 9.9646133 9.! 164,3602 9.9645069 9.9644537 9.9634004 9.9643470 11 10 9 8 7 6 55 56 57 58 5!) 60 9.5903869 9.5906856 9.5909841 9.5912823 9.5915803 9.5918780 10.4096131 10.4093144 10.4090159 10.4087177 10.4084197 10.4083220 9.6260932 9.6264454 9.6267973 9.6271491 9.6275006 9.6278519 10.3739068 1 0. 37355 MI 10.3732027 10.3728509 10.3724994 10.3721481 10.0357063 10.0357598 10.0358132 10.0358668 10.0359203 10.0359739 9.9642937 9.9642402 9.9641868 9.9644332 9.9640797 9.9640261 5 4 3 2 / Co-sine. 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Co-sine. / 1 2 3 4 5 6 9.G093133 9.G095969 9.G098803 9.6101635 9.6101465 9.6107293 9.6110118 2836 2834 2832 2830 2828 2825 2823 2821 2818 2817 2814 2812 2810 2808 2805 2804 2801 2799 2797 2794 2793 2790 2788 2787 2783 2782 2780 2777 2775 2774 2771 2768 2767 2765 2762 2761 2758 2756 2754 2752 2750 2748 2745 2744 2741 2739 2737 2736 2733 2730 2729 2727 2725 72 2721 2718 2717 2714 2712 2711 10.3906867 10.3904031 10.3901197 10.3898365 10.3895535 10.3892707 10.3889882 9.6485831 9.6489230 9.6492628 9.6496023 9.6499417 9.6502809 9.6506199 3399 3398 3395 3394 3392 3390 3388 3387 3385 3383 3381 3380 3378 3376 3374 3373 3371 3369 3368 3365 3364 3363 3360 3359 3357 3356 3353 3352 3351 3349 3346 3346 3343 3342 3340 3339 3337 3335 3334 3331 3331 3328 3327 3325 3324 3322 3320 3319 3316 3316 3313 3313 3310 3309 3307 3305 3304 3303 3300 3299 10.3514169 10.3510770 10.3507372 10.3503977 10.3500583 10.3497191 10.3493801 10.0392698 10.0393261 10.0393824 10.0394388 10.0394952 10.0395516 10.0396081 563 563 564 564 564 565 565 566 5(56 567 567 568 568 568 569 569 570 570 571 571 571 572 573 573 573 574 574 574 575 576 57(5 57fr, 577 577 578 578 570 579 579 580 581 581 581 582 582 582 583 584 584 584 585 585 586 586 587 587 588 588 588 589 Dif. 9.9607302 9.9606739 9.9606176 9.9605612 9.9<5U5()|.fi 9.9604484 9.9603919 60 59 58 57 56 55 54 7 6 9 10 11 12 9.0112941 9.6115762 9.6118580 9.6121397 9.6124211 9.6127023 10.3887059 10.3884238 10.3881420 10.3878603 10.3875789 10.3872977 9.6509587 9.6512974 9.6516359 9.6519742 9.6523123 9.6526503 10.3490413 10.3487026 10.3483641 10.34! 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'(>:') 16 9.7034086 10.29816-26 10.2978481 10.2975337 10.2972195 10.2969054 10.2965914 10.0490315 10.0490951 10.0491588 10.049JJ25 10.049286:2 10.0493500 9.9509685 9.9509049 9.9508412 9.9507775 9.9507138 9.9506500 17 16 15 14 13 12 10 50 51 52 53 54 9.65 130H6 9.651,^81 9.65i8081 9.6550575 1 0.34-569 M 10.3454416 10.3151919 10.3: 9.7037225 9.7040362 9.704W7 9.7046632 10.2962775 10.295963K 10.29.56503 10.-::'.- 10.2960235 10.2947103 10.0494139 10.0494777 10.0495117 10.0496056 10.0491 10.0497337 1 0.0-197978 10.0498620 10.049!r.'6ii 10.0499905 10.050054!! 10.0501191 9.9505861 9.9505223 9.9504583 9.950394 1 9.9503303 9.9502663 11 10 9 8 7 6 9.6555559 2488 2485 2184 2481 10.3444441 9.7049765 9.7052897 3132 3130 3129 3128 3126 3125 3124 55 56 57 58 59 60 / 9.6558018 9.65:10.536 9.6565505 9.6.->6?987 9.6570 1G8 Co-sine. 10.343201 ; , 52 'ii.i r >rw2,i 10.2943973 10.2910C14 10.2937716 10.2934590 10.2931465 10.2928341 Tanjrent. 9.9502022 9.9501380 9.9500738 9.9500095 9.9499452 9.9-198809 5 4 3 2 1 Dif. Pccant. Co-tang. Dif. Co-secant. Sine. / 116 C3 LOGARITHMIC SINES, &c. 27 152 / Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. Secant. Dif. Co-sine. / 1 2 3 4 5 6 9.65704-68 9.6572946 9.6575423 9.6577898 9.6580371 9.6582842 9.6585312 2478 2477 2475 2473 2471 2470 2468 2466 2464 2463 2460 2460 2457 2455 2454 2452 2430 2449 2447 2445 2443 2441 2440 2438 2436 2435 2433 2431 2429 2428 2426 2424 2423 2420 2419 2418 2415 2414 2413 2410 2409 2407 2405 2404 2402 2400 2399 2397 2595 2394 2390 2388 2387 2385 2384 2382 2380 237!) 2377 10.34.29532 10.3127054 10.3424577 10.3422102 10.3419629 10.34171.08 10.31-14688 9.7071659 9.7074781 9.7077902 9.7081022 9.7084141 9.7087258 9.7090374 3122 3121 3120 3119 3117 3116 3114 3113 3112 3111 3109 3108 3107 3106 3104 3103 3101 3100 3099 3098 3097 3095 3094 3092 3092 3090 3089 3087 3087 3085 3084 3082 3081 3080 3079 3078 3076 3075 3074 3073 3071 3070 3069 3068 306(5 3065 3064 3063 3062 3060 3069 3058 3057 3055 ;;o5 1. 3053 3052 3051 3049 3049 10.2928341 10.2925219 10.2922098 1 0.29 J 8978 10.2915859 10.2912742 10.2909626 10.0501191 10.0501835 10.0502479 10.0503124 10.0503770 10.0504415 10.0505062 644. 644 6 15 646 645 647 646 647 648 648 649 649 649 650 651 651 651 652 652 653 653 654 654 654 655 656 656 656 657 658 658 658 659 659 660 660 661 661 661 663 662 663 664 664 664 665 665 666 666 667 667 668 668 669 669 670 670 670 671 672 Dif. 9.9498809 9.9498165 9.9497521 9.9496876 9.9496230 9.9495585 9.9494938 60 59 58 57 56 55 54 7 8 9 10 11 12 9.6587780 9.6590246 9.6592710 9.6595173 9.6597633 9.6600093 10.3412220 10.3409754 10.3407290 10.3-104827 10.3402367 10.3399907 9.7093488 9.7096601 9.7099713 9.7102824 9.7105933 9.7109041 10.2906512 10.2903399 10.2900287 10.2897176 10.2894067 10.2890959 10.0505708 10.0506355 10.0507003 10.0507651 10.0508300 10.0508949 9.9494292 9.9493645 9.9492997 9.9492349 9.9491700 9.9-1-91051 53 52 51 50 49 48 13 14 15 16 17 18 9.6602550 9.6605005 9.6607459 9.6609911 9.6612361 9.6614810 10.3397450 10.3394995 10.3392541 10.3390089 10.3387639 10.3385190 9.7112148 9.7115254 9.7118358 9.7121461 9.7124562 9.7127662 10.2887852 10.2884746 10.2881642 10.2878539 10.2875438 10.2872338 10.0509598 10.0510248 10.0510899 10.0511550 10.0512201 10.0512853 9.9490402 9.9489752 9.9489101 9.9488450 9.9487799 9.9487147 47 46 45 44 43 42 19 20 21 22 23 24 9.6617257 9.6619702 9.6622145 9.6624586 9.6627026 9.6629464 10.3382743 10.3380298 10.3377855 10.3375414 10.3372974 10.3370536 9.7130761 9.7133859 9.7136956 9.7140051 9.7143145 9.7146237 10.2869239 10.2866141 10.2863044 10.2859949 .10.2856856 10.2853763 10.0513505 10.0514158 10.0514811 10.0515465 10.0516119 10.0516773 9.94.86495 9.9485842 9.9485189 9.9484535 9.9483881 9.9483227 41 40 39 38 37 36 25 26 27 28 29 30 9.6631900 9.6634335 9.6636768 9.6639199 9.6641628 9.6644056 10.3368100 10.3365665 10.3363232 10.3360801 10.3358372 10.3355944 9.7149329 9.7152419 9.7155508 9.7158595 9.7161682 9.7164767 10.2850671 10.2847581 10.2344492 10.2841405 10.2838318 10.2835233 10.0517428 10.0518084 10.0518740 10.0519396 10.0520053 10.052071 1 9.9482572 9.9481916 9.9481260 9.9480604 9.9479947 9.9479289 35 34 33 32 31 30 31 32 33 34 35 36 9. 6616182 9.6648906 9.6651329 9.6653749 9.6656168 9.6658586 10.3353518 10.3351091. 10.3348671 10.3346251 10.33-13832 10.334-1414 10.3338999 10.3336585 10.3334172 10.3331762 10.3329353 10.3326946 9.7167851 9.7170933 9.7174014 9.7177094 9.7180173 9.7183251 10.2832149 10.2829067 10.2825986 10.2822906 10.2819827 10.2816749 10.0521369 10.0522027 10.0522686 10.0523345 10.0524005 10.0524665 9.9478631 9.9477973 9.94773H 9.9476655 9.9475995 9.9475335 29 28 27 26 25 24 37 38 39 40 41 42 9.6661001 9.6663415 9.6665828 9.66(58238 9.6670647 9.6673054 9.7186327 9.7189402 9.7192476 9.7195549 9.7198620 9.7201690 10.2813673 10.2810598 10.2807524 10.2801451 10.2801380 10.2798310 10.0525326 10.0525987 10.0526648 10.0527311 10.0527973 10.0528636 9.9474674 9.9474013 9.9473352 9.9472689 9.9472027 9.9471364 23 22 21 20 19 18 43 44 45 46 47 48 9.6675459 9.6677863 9.6680265 9.6682665 9.6685064 9.6687461 10.3324541 10.3322137 10.3319735 10.3317335 10.3314936 10.3312539 9.7204759 9.7207827 9.7210893 9.7213958 9.7217022 9.7220085 10.2795241 10.2792173 10.2789107 10.2786042 10.2782978 10.2779915 10.0529300 10.0529964 10.0530628 10.0531293 10.0531958 10.0532621 9.9470700 9.9470036 9.9469372 9.9468707 9.9468042 9.9467376 17 16 15 14 13 12 49 50 51 52 53 51 9.6689856 9.6692250 9.669-16 1--: 9.6697032 9.6699420 9.6701807 10.3310144 10.3307750 10.3:3! 10.3302%;! 10.3300580 10.3298193 9.7223147 9.7226207 9.72-J9266 9.7232321 9.7235381 9.7238136 10.2776853 10.2773793 10.2770734 10.2767676 10.2764619 10.2761564 10.0533290 10.0533957 10.0534624 10.0535292 10.0535960 10.0536629 9.9466710 9.9466043 9.9465376 9.9U54708 9.9464040 9.9463371 9.9462702 9.94152032 9.9I61362 9.9460692 9.9460021 9.9459349 11 10 9 8 7 6 5 4 3 1 55 56 57 68 5!) GO 9.670-1192 9.6706576 9.6708958 9.6711338 9.6713716 9.6716093 10.3295:50!! :i:.5l24 1 0.3-29 101.-.2 10.3288662 10.3:. 10.3283907 9.7241490 9.7LM-15W 9.7247595 9.725Q646 9.72:33i;95 9.7256714 Co-tan<'. 10.2758510 10.2755157 10.2752405 10.2749354 10.2746305 10.2743256 10.0537298 10.0537968 10.0538638 10.0539308 10.0539979 10.0540651 / Co-sine. Dif. Secant. Dif. Tangent. Co-secant. Sine. / 117 62 LOGARITHMIC SINES, &c. 28 151 / Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. Secant. Dif. Co-sine. / 2 3 4 5 6 9.6716093 9.6718468 9.6720841 9.6723213 9.6725583 9.6727952 9.6730319 2375 2373 2372 2370 2369 2367 2365 2363 2362 2360 2359 2357 2355 2354 2352 2350 2349 2347 2345 2344 2342 2310 2339 2338 2335 2334 2333 2330 2329 2328 2326 2324 2323 2321 2320 2317 2317 2314 2313 2312 2310 2303 2307 2305 2303 2302 2301 2298 2298 2295 2294 2293 2290 2290 2287 2286 2285 2283 2281 2280 10.3283907 10.3281532 10.3279159 10.3276787 10.3274417 10.3272048 10.3269681 9.7256744 9.7259791 9.7262837 9.7265881 9.7268925 9.7271967 9.7275008 3047 3046 3044 3044 3042 3041 3040 3039 3037 3037 3035 3034 3033 3032 3030 3029 3029 3027 3026 3024 3024 3022 3021 3020 3019 3018 3017 3015 3015 3013 3012 3011 3010 3008 3008 3006 3006 3004 3003 3002 3001 2999 2999 2997 2997 2995 2994 2993 2992 2991 2990 2988 2988 2986 2985 2985 2983 2982 2981 2980 10.2743256 10.2740209 10.2737163 10.2734119 10.2731075 10.2728033 10.2724992 10.0540651 10.0541323 10.0541995 10.0542668 10.0543341 10.0544015 10.0544690 672 672 673 673 674 675 674 676 675 676 677 677 678 678 679 679 679 680 681 680 682 682 682 683 683 684 684 685 685 686 686 687 687 687 689 688 689 690 690 690 691 691 692 693 692 694 694 694 695 695 695 697 696 697 698 698 699 699 699 700 9.9459349 9.9458677 9.9458005 9.9457332 9.9456659 9.9455985 9.9455310 60 59 58 57 56 55 54 7 8 9 10 11 12 9.6732684 9.6735047 9 6737409 9.6739769 9.6742128 9.6744485 10.3267316 10.3264953 10.3262591 10.3260231 10.3257872 10.3255515 9.7278048 9.7281087 9.7284124 9.7287161 9.7290196 9.7293230 10.2721952 10.2718913 10.2715876 10.2712839 10.2709804 10.2706770 10.054-5364 10.0546040 10.0546715 10.0547391 10.0548068 10.0548745 9.9454636 9.9453960 9.9453285 9.9452609 9.9451932 9.9451255 53 52 51 50 49 48 13 14 15 it; 17 18 9.6746840 9.6749194 9.6751546 9.6753896 9.6756245 9.6758592 10.3253160 10.3250806 10.3248454 10.3246104 10.3243755 10.3241408 9.7296263 9.7299295 9.7302325 9.7305354 9.7308383 9.7311410 10.2703737 10.2700705 10.2697675 10.2694646 10.2691617 10.2688590 10.0549423 10.0550101 10.0550780 10.0551459 10.0552138 10.0552818 9.9450577 9.9449899 9.9449220 9.9448541 9.9447862 9.9447182 47 46 45 44 43 42 19 20 21 22 23 24 9.6760937 9.6763281 9.6765623 9.6767963 9.6770302 9.6772640 10.3239063 10.3236719 10.3234377 10.3232037 10.3229698 10.3227360 9.7314436 9.7317460 9.7320484 9.7323506 9.7326527 9.7329547 10.2685564 10.2682540 10.2679516 10.2676494 10.2673473 10.2670453 10.0553499 10.0554179 10.0554861 10.0555543 10.0556225 10.0556908 9.9446501 9.9445821 9.9445139 9.9444457 9.9443775 9.9443092 41 40 39 38 37 36 25 26 27 28 29 30 9.6774975 9.6777309 9.6779642 9.6781972 9.6784301 9.6786629 10.3225025 10.3222691 10.3220358 10.3218028 10.3215699 10.3213371 9.7332566 9.7335584 9.7338601 9.7341616 9.734/1631 9.7347644 10.2667434 10.2664416 10.2661399 10.2658384 10.2655369 10.2652356 10.0557591 10.0558275 10.0558959 10.0559644 10.0560329 10.0561015 9.9442409 9.9441725 9.9441041 9.9440356 9.9439671 9.9438985 35 34 33 32 31 30 31 32 33 34 35 36 9.6788955 9.6791279 9.6793602 9.6795923 9.6798243 9.6800560 10.3211045 10.3208721 10.3206398 10.3204077 10.3201757 10.3199440 9.7350656 9.7353667 9.7356677 9.7359685 9.7362693 9.7365699 10.2649344 10.2646333 10.2643323 10.2640315 10.2637307 10.2634301 10.0561701 10.0562388 10.0563075 10.0563762 10.0564451 10.0565139 9.9438299 9.9437612 9.9436925 9.9436238 9.9435549 9.9434861 29 28 27 26 25 24 37 38 39 40 41 42 9.6802877 9.6805191 9.6807504 9.6809816 9.6812126 9.6814434 10.3197123 10.3194809 10.3192496 10.3190184 10.3187874 10.3185566 9.7368705 9.7371709 9.7374712 9.7377714 9.7380715 9.7383714 10.2631295 10.2628291 10.2625288 10.2622286 10.2619285 10.2616286 10.0565828 10.0566518 10.0567208 10.0567898 10.0568589 10.0569280 9.9434172 9.9433482 9.9432792 9.9432102 9.9431411 9.9430720 23 22 01 20 19 18 43 44- 45 46 47 48 9.6816741 9.6819046 9.6821 349 9.6823651 9.6825952 9.6828250 10.3183259 10.3180954 10.3178651 10.3176349 10.3174048 10.3171750 9.7386713 9.7389710 9.7392707 9.7395702 9.7398696 9.7401689 10.2613287 10.2610290 10.2607293 10.2604298 10.2601304 10.2598311 10.0569972 10.0570665 10.0571357 10.0572051 10.0572745 10.0573439 9.9430028 9.9429335 9.9428643 9.9427949 9.9427255 9.9426561 17 16 15 14 13 12 49 50 51 52 53 54 55 5G 57 58 59 60 9.6830548 9.6832843 9.6835137 9.6837430 9.6839720 9.6842010 10.3169452 10.3167157 10.3164863 10.3162570 10.3160280 10.3157990 9.7404681 9.7407672 9.7410662 9.7413650 9.7416638 9.7419624 10.2595319 10.2592328 10,2589338 10.2586350 10.2583362 10.2580376 10.0574134 10.0574829 10.0575524 10.0576221 10.0576917 10.0577614 9.9425866 9.9425171 9.9424-476 9.9423779 9.9423083 9.9422386 11 10 9 8 7 6 9.6844297 9,6846583 9.G848868 9.6851151 9:6853432 9.6855712 10.3155703 10.3153417 10.3151132 10.3148849 10.3146568 10.3144288 9.7422609 9.7425594 9.742857? 9.7431559 9.7434540 9.7437520 10.2577391 10.2574406 10.2571423 10.2568441 10.2565460 10.2562480 10.0578312 10.0579010 10.0579709 10.0580408 10.0581107 10.0581807 9.9421688 9.9420990 9.9420291 9.9419592 9.9418893 9.9418193 5 4 3 2 1 / Ca-siiie. Dif. Secant. Co-tang. Dif. Tangent. Co-secant. Dif. Sine. / 118 61 LOGARITHMIC SINES, &c. 29 150 / Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. Secant. Dif. 701 701 701 702 703 703 703 704- 704 705 705 706 707 706 708 707 708 709 709 710 710 711 711 711 713 712 713 714 714 714 715 716 716 716 717 717 718 719 719 719 720 720 721 721 722 722 723 723 724 724 725 725 726 726 727 727 728 728 729 729 Dif. (.'o-siiK-. / 3 4 5 6 9.6855712 9.6857991 9.6860267 9.6862.; 12 9.6864516 9.6867088 9.68693.39 2279 2276 2275 2274 2272 2271 2269 2267 2266 2264 2263 2261 2260 2258 2256 2255 2254 2252 2250 2249 2248 2245 2245 2245 2241 2240 2238 2236 2236 2233 2232 2231 2229 2228 2226 2224 2223 2222 2220 2219 2217 2215 2214 2213 2211 2210 2208 2206 2205 2204 2202 2201 2199 2198 2196 2195 2193 2192 2190 2189 10.3144288 10.3142009 10.3139733 10.3137458 10.3135184 10.3132912 10.3130641 9.7457520 9.7440499 9.7443476 9.7446453 9.7449428 9.7452403 9.7455376 25)71) 2977 2977 2975 2975 2973 2973 2971 52971) 2969 2968 2967 2966 2965 2964 2963 2961 2961 2960 2958 2958 2956 2956 2954 2953 2953 2951 2950 29 19 2948 2948 2946 2945 2944 2943 2942 2941 2940 2939 2938 2937 2935 2935 2934 2933 2932 2931 2930 2929 2928 2926 2926 2925 2924 2923 2922 2921 2920 2919 2918 10.2562480 10.2559501 10.2556524 10.2553547 10.2550572 10.2547597 10.2544621 10.0581807 10.0582508 10.058320!) 10.0583910 10.0584(i 12 J 0.0515531; 10.0586018 9.9418193 !MIH7!U2 9.IH1679I 9.9416090 !->.'.>!.] />:5}:;; 9.9114685 9.9418982 60 59 58 57 56 55 54. 7 8 9 10 11 12 9.687 1 628 y.6,'{7389o 9.6876161 9.6878425 9.6880688 9.6!J:}'2!U9 10.3128372 10.3126105 10.3123839 10.3121575 10.3119312 10.3117051 9.7458349 9.7461320 9.7464290 9.7467259 9.7470227 9.7473194 10.2511651 10.2538680 10.2535710 10.2532741 10.2529773 10.2526806 10.0586721 10.05874.25 10. ().-) 129 10.058! ;:;.;) 10.0589539 10.0590245 9.94132*9 9.9412575 9.94 11871 9.9411166 9.9410461 9.9409755 53 52 51 50 49 48 13 14 15 16 17 18 9.6885209 9.6887467 9.6889723 9.6891978 9.6894232 9.6896484 10.3114791 10.31 12533 10.3110277 10.3108022 10.3105768 10.3103516 10.3101266 10.3099017 10.3096769 10.3094524 10.3092279 10.3090036 9.7476160 9.7479125 9.7482089 9.74.85052 9.7488013 9.7490974 10.25238 10 10.2520875 10.2517911 10.2514948 10.2511987 10.2509026 10.0590952 10.0591658 10.0592366 10.0593073 10.0593781 10.0594490 9.9409048 9.9408342 9.9407634 9.9406927 9.9406219 9.9405510 47 46 45 44 43 42 19 20 21 22 23 24 9.6898734 9.6900983 9.6903231 9.6905476 9.6907721 9.6909964 9.7493934 9.7496892 9.7499850 9.7502806 9.7,505762 9.7508716 10.2506066 10.2503108 10.2500150 10.2497194 10.2494238 10.2491284 10.0595199 10.0595909 10.0596619 10.0597330 10.0598041 10.0598752 9.9404801 9.9404091 9.9403381 9.9402670 9.9401959 9.9101248 41 40 39 38 37 36 25 26 27 28 29 30 9.6912205 !). 691 -l-Mo 9.691 (.C.83 9.6918919 9.6921155 9.6923388 10.3087795 10.3085555 10.3083317 10.3081081 10.3078845 10.3076612 9.7511669 9.751 4622 9.7517573 9.7520523 9.7523472 9.7526420 10.2458331 10.2485378 10.21-82427 10.2479177 10.2476528 10.2473580 10.0599465 10.0600177 10.0(500890 10.0601604 10.0602318 10.0603032 9.9400535 9.9399823 9.9399110 9.9398396 9.9397682 9.9396968 35 34 33 32 31 30 31 32 33 34 35 36 9.6925620 9.6927851 9.6930080 9.6932308 9.6934534 9.6936758 10.3074380 10.3072149 10.3069920 10.3067692 0.3065466 10.3063242 9.7529368 9.7532314 9.7535259 9.7538203 9.7541146 9.7544088 10.2470632 10.2467686 1 0.24 64 -741 10.244J1797 10.2158854 10.2455912 10.0603747 10.0604463 10.0605179 10.0605895 10.0606612 10.0607329 9.9396253 9.9395537 9.9391821 9.9391105 9.9393388 9.9392671 29 28 27 26 25 24 37 38 39 40 41 42 9.6938981 9.6941203 9.6943423 9.6945642 9.6947859 9.6950074 10.3061019 10.3058797 10.3056577 10.3054358 10.3052141 10.3049926 9.7547029 9.7.549969 9.7552908 9.7555846 9.7558783 9.7561718 10.2452971 10.2450031 10.2447092 10.2444154 10.2441217 10.2438282 10.0608047 10.0608766 10.0609485 10.0610204 10.0610924 10.0611644 9.9391953 9.9391234 9.9390515 9.9389796 9.9389076 9.9388356 23 22 21 20 19 18 43 44 45 46 47 48 9.6952288 9.6954501 9.6956712 9.6958922 ! .6! ((ill 30 9.6963336 10.3047712 10.3045499 10.3043288 10.3041078 10.3038870 10.3036664 9.7564653 9.7567587 9.7570520 9.7573452 9,7576383 9.7579313 10.2435347 10.2432413 10.2429480 10.2426548 10.2423617 10.2420687 10.0612365 10.0613086 10.0613808 10.0614530 10.0615253 10.0615976 9.9387635 9.9386914 9.9386192 9.9385470 9.9384747 9.9384024 17 16 15 14 13 12 49 50 51 52 53 54 9.6965541 9.6967745 9.6969947 9.6972148 9.6974347 9.6976515 10.3034=159 10.3032255 10.3030053 10.3027852 10.3025653 10.3023455 9.7582242 9.7585170 9.7588096 9.7591022 9.7593947 9.7596871 10.2417758 10,2414830 10.2411904 10.2408978 10.2406063 10,2403129 10.0616700 10.0617424 10.0618149 10.0618874 10.0619600 10.0620326 9.9383300 9.9382576 9.9381851 9.9381126 9.9380400 9.9379674 9.9378947 9.9378220 9.9377492 9.9376764 9.93760:55 9.9375306 Sine. 11 10 9 8 7 6 55 56 57 58 59 60 / 9.6978741 9.69(>9.5t; 9.6983129 9.6985321 9.698751 1 9.6989700 10.3021259 10.3019064 10.3016871 10.3014679 10.3012489 10.3010300 9.7599794 9.7602716 9.7605637 9.7608557 9.7611476 9.7614394 10.2400206 10.2397284 1 0.239 4363 lO/r,!M 143 10.2388524 10.2385606 10.06210.53 10.0621780 10.0622508 10.0623236 10.0623965 10.0624694 5 4 3 2 Co-sine. Dif. Secant. Co-tan?. Dif. Tangent. Co-secant. / 119 6O LOGARITHMIC SINES, &c. 30 149<> / Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. Secant. Dif. 729 730 731 731 732 732 732 733 734 734 734 735 736 736 736 737 738 738 738 739 740 740 740 741 742 741 743 743 743 744 71,5 744 746 746 746 717 747 748 749 748 750 750 750 751 761 752 752 753 753 754 755 754 756 75(5 756 757 757 758 758 759 Co-sine. 1 1 2 3 4 -5 6 9.6989700 9.6991887 9.6994073 9.6996258 9.6998441 9.7000622 9.7002802 2187 2186 2185 2183 2181 2180 2179 2177 2176 2174 2173 2171 2170 2168 2167 2166 2164 2162 2162 2159 2159 2157 2155 2154 2152 2152 2149 2149 2146 2146 2141 2142 2141 2140 2138 2137 2136 2134 2132 2131 2130 2129 2127 2125 2124 2123 2121 2120 2119 2117 2116 2114 2113 2111 2110 2109 2108 2106 2104 2103 10.3010300 10.3008113 10.3005927 10.3003742 10.3001559 10.2999378 10.2997198 9.7614394 9.7617311 9.7620227 9.7623142 9.7626056 9.7628969 9.7631881 2917 2916 2915 2914 2913 2912 2911 2910 2910 2908 2907 2907 2905 2904 2904 2902 2902 2900 2900 2899 2898 2896 2896 2895 2894 2893 2892 2891 2891 2889 2888 2888 2886 2886 2884 2884 2883 2882 2881 2880 2879 2878 2877 2877 2875 2875 2874 2872 2872 2871 2870 28G9 2869 2867 28(56 2866 2865 2863 2863 2862 10.2385606 10.2382689 10.2379773 10.2376858 10.2373944 10.2371031 10.2368119 10.0624694 1 0.0625 1-23 10.0626153 10.0626884 10.0627615 10.0628347 10.0629079 9.9375306 9.9374577 9.9373847 9.9373116 9.9372385 9.9371653 9.9370921 60 59 58 57 56 55 54 7 8 9 10 11 12 9.7004981 9.7007158 9.7009334 9.701 1508 9.7013681 9.7015852 10.2995019 10.2992842 10.2990666 10.2983492 10.2986319 10.2984148 9.7634792 9.7637702 9.7640612 9.7643520 9.7646427 9.7649334 10.2365208 10.2362298 10.2359388 10.2356480 10.2353573 10.2350(566 10.0629811 10.0630544 10.0631278 10.0632012 10.0632746 10.0633481 9.9370189 9.9369456 9.9368722 9.9367988 9.9367254 9.9366519 53 52 51 50 49 48 13 14 15 16 17 18 9.7018022 9.7020190 9.7022357 9.7024523 9,7026687 9.7028849 10.2981978 10.2979810 10.2977643 10.2975477 10.2973313 10.2971151 9.7652239 9.7655143 9.7658047 9.7660949 9.7663851 9.7666751 10.2347761 10.2344857 10.2341953 10.2339051 10.2336149 10.2333249 10.0634217 10.0634953 10.0635689 10.0636426 10.0637164 10.0637902 10.0638640 10.0639379 10.0640119 10.0640859 10.0641599 10.0642340 9.9365783 9.9366047 9.9364311 9.9363574 9.9362836 9.9362098 47 46 45 44 43 42 19 20 21 22 23 24 9.7031011 9.7033170 9.7035329 9.7037486 9.7039641 9.7041795 10.2968989 10.2966830 10.2964671 10.2962514 10.2960359 10.2958205 10.2956053 10.2953901 10.2951752 10.2949603 10.2947457 10.2945311 9.7669651 9.7672550 9.7675448 9.7678344 9.7681240 9.7684135 9.7687029 9.7689922 9.7692814 9.7695705 9.7698596 9.7701485 10.2330349 10.2327450 10.2324552 10.2321656 10.2318760 10.2315865 9.9361360 9.9360621 9.9359881 9.9359141 9.9358401 9.9357660 41 40 39 38 37 36 25 26 27 28 29 30 9.7043917 9.7046099 9.7048248 9.7050397 9.7052513 9.7054689 10.2312971 10.2310078 10.2307186 10.2304-295 10.2301404 10.2298515 10.0643082 10.0643823 10.0644566 10.0645309 10.064^)052 10.0646796 9.9356918 9.9356177 9.9355434 9.9354691 9.9353948 9.9353204 35 34- 33 32 31 30 31 32 33 34 35 36 9.7056833 9.7058975 9.7061116 9.7063256 9.7065394 9.7067531 10.2943167 10.2941025 10.2938884 10.2936744 10.2934606 10.2932469 9.7704373 9.7707261 9.7710147 9.7713033 9.7715917 9.7718801 10.2295627 10.2292739 10.2289853 10.2286967 102284-083 10.2281199 10.0647541 10.0648285 10.0649031 10.0649777 10.0(550523 10.0651270 9.9352459 9.9351715 9.9350969 9.9350223 9.9349477 9.9348730 29 28 27 26 26 24 37 38 39 40 41 42 9.7069667 9.7071801 9.7073933 9.7076064 9.7078194 9.7080323 10.2930333 10.2928199 10.29260(57 10.2923936 10.2921806 10.2919677 9.7721684 9.7724566 9.7727447 9.7730327 9.7733206 9.7736084 10.2278316 10.2275131 10.2272553 10.2269(573 10.226(5794- 10.2263916 10.0652017 10.0652765 10.0653514 10.0654262 10.0655012 10.0655762 9.93-17983 9.9347235 9.934648(5 9.9345738 9.9:H49:;n 9.9344238 23 22 21 20 19 18 43 44 45 46 47 48 y.7082 i.-,n 9.7084575 9.7086G99 9.7088822 9.7090945 9.70930(53 10.2917550 10.291.") 1-25 10.2913301 10.21)11178 10.2909057 10.2906937 9.7738961 9.7741838 9.7744713 9.7747588 9.7750462 9.7753334 10.2261039 10.2258162 10.2255287 10.2252412 10.224-D538 10.2246666 10.0656512 10.0657263 10.0658014 10.0658766 10.0659518 10.0660271 9.9343488 9.9342737 9.9341986 9.9341234 9.9340482 9.9339729 17 16 15 14 13 12 49 50 51 52 53 M 9.7095182 9.7097299 9.7099415 9.7101529 9.7103612 9.7105753 10.2D04818 10.2902701 10.2900585 10.2898471 10.2896358 10.2894247 10.2892137 10.28!WV."8 10.2887!) 20 10.2885814 10.2883710 10.2881607 9.7756206 9.7759077 9.776 19 17 1). 776!,') 16 9.7767.' 185 9.7770552 9.77734.78 9.777(5281- 9.7779149 9.7782012 9.7784875 9.7787737 10.2243794 10.2241)923 10.2238053 10.2235184 10.2232315 10.2229448 10.0661024 10.0661778 10.0662533 10.0663287 10.06640-13 10.0664799 9.9338976 9.9338222 9.9337467 9.9336713 9.9335957 9.9335201 11 10 9 8 7 6 55 56 57 58 59 60 9.7107863 9.710997J 9.7112080 9.7111.1 KG 9.7116290 9.7118.11)3 10.2226582 10.2223716 10.2220851 10.2217988 10.2215125 10.2212263 10.0665555 10.0666312 10.0667069 10.0667827 10.0668585 10.0669344 9.9331-145 9.9333688 9.9332931 9.9332173 9.9331415 9.9330656 5 4 3 2 i / Co-sine. Dif. Secant. Co-tans;. Dif. Tangent. Co-secant. Dif. Sine. / 120 69 LOGARITHMIC SINES, &c. 31 148 / Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. Secant. Dif. Co-sine. / 1 2 3 4 5 6 9.7118393 9.7120495 9.7122596 9.7124695 9.7126792 9.7128889 9.7130983 2102 2101 2099 2097 2097 2094 2094 2092 2091 2089 2088 2087 2085 2084 2083 2081 2080 2078 2077 2076 2075 2073 2071 2071 2068 2068 2066 2065 2064 2062 2061 2059 2059 2056 2056 2054 2053 2051 2050 2049 2048 2046 2045 2043 2042 2041 '2010 2038 2037 2035 2034. 2033 2032 2030 2029 2028 2026 2025 2024 2022 10.2881607 10.2879505 10.2877404 10.2875305 10.2873208 10.2871111 10.2869017 9.7787737 9.7790599 9.7793459 9.7796318 9.7799177 9.7802034 9.7804891 2862 2860 2859 2859 2857 2857 2856 2855 2854 2853 2853 2851 2851 2849 2849 2848 2848 2846 2845 2845 2844 2843 2842 2841 2840 2810 2838 2838 2837 2836 2835 2835 2833 2833 2832 2831 2831 2829 2829 2827 2827 2826 2826 2824 2824 2823 2822 2821 2820 2820 2819 2818 2817 2816 2816 2814 2814 2813 2813 2811 10.2212263 10.2209401 10.2206541 10.2203682 10.2200823 10.2197966 10.2195109 10.0669344 10.0670103 10.0670863 10.0671624 10.0672381. 10.0673146 10.0673908 759 760 761 760 762 762 762 763 763 764 764 765 765 766 767 766 768 768 768 769 769 770 770 771 772 772 772 773 773 774 775 774 776 776 776 777 778 778 778 779 779 780 781 781 781 782 783 783 784 784 784 785 786 786 787 787 787 788 789 789 9.9330656 9.9329897 9.9329137 9.9398376 9.93271! 16 9.9326851. 9.9326092 60 59 58 57 56 55 54 7 8 9 10 11 12 9.7133077 9.7135169 9.7137260 9.7139349 9.7141437 9.7143524 10.2866923 10.2864831 10.2862740 10.2860651 10.2858563 10.2856476 9.7807717 9.7810602 9.7313456 9.7816309 9.7819162 9.7822013 10.2192253 10.2189398 10.2186544 10.2183691 10.2180838 10.2177987 10.0674670 10.0675433 10.0676196 10.0676960 10.0677724 10.0678489 9.9325330 9.9324567 9.9323804 9.9323040 9.9322276 9.9321511 53 52 51 50 49 48 13 14 15 16 17 18 9.7145609 9.7147693 9.7149776 9.7151857 9.7153937 9.7156015 10.2854591 10.2852307 10.2850224 10.2848143 10.2846063 10.2843985 9.7824864 9.7827713 9.7830562 9.7833410 9.7836258 9.7839104 10.2175136 10.2172287 10.2169438 10.2166590 10.2163742 10.2160896 10.0679254 10.0680020 10.0680787 10.0681553 10.0682321 10.0683089 9.9320746 9.9319980 9.9319213 9.9318447 9.9317679 9.9316911 47 46 45 44 43 42 19 20 21 22 23 24 9.7158092 9.7160168 9.7162243 9.7164316 9.7166387 9.7168458 10.2841908 10.2839832 10.2837757 10.283568 i 10.2833613 10.2831512 9.7841949 9.7844794 9.7847638 9.7850481 9.7853323 9.7856164 10.2158051 10.2155206 10.2152362 10.21495-19 10.2146677 10.2143836 10.0683857 10.0684626 10.0685395 10.0686165 10.0686935 10.0687706 9.9316143 9.9315374 9.9314605 9.9313835 9.9313065 9.9312294 41 40 39 38 37 36 25 26 27 28 29 30 9.7170526 9.7172594 9.7174.660 9.7176725 9.7178789 9.7180851 10.2829174 10.2827406 10.2825:1 Ml 10.2823275 10.2821211 10.2819149 9.7859004 9.7861844 9.7864682 9.7867520 9.7870357 9.7873193 10.2140996 10.2138156 10.2135318 10.2132480 10.2129643 10.2126807 10.0688478 10.0689250 10.0690022 10.0690795 10.0691568 10.0692342 9.9311522 9.9310750 9.9309978 9.9309205 9.9308432 9.9307658 35 34 33 32 31 30 31 32 33 34 35 36 9.7182912 9.7184971 9.7187030 9.7189086 9.7191142 9.7193196 10.2817088 10.2815029 10.2812970 10.2810914 10.2808858 10.2806804 9.7876028 9.7878863 9.7881696 9.7884529 9.7887361 9.7890192 10.2123972 10.2121137 10.2118304 10.2115471 10.2112639 10.2109808 10.0693117 10.0693891 10.0694667 10.0695443 10.0696219 10.0696996 9.9306883 9.9306109 9.9305333 9.9304557 9.9303781 9.9303004 29 28 27 26 25 24 37 38 39 40 41 42 9.7195249 9.7197300 9.7199350 9.7201399 9.7203447 9.7205493 10.2804751 10.2802700 10.2800650 10.2798601 10.2796553 10.2794507 9.7893023 9.7895852 9.7898681 9.7901508 9.7904335 9.7907161 10.2106977 10.2104148 10.2101319 10.2098492 10.2095665 10.2092839 10.0697774 10.0698552 10.0699330 10.0700109 10.0700888 10.0701668 9.9302226 9.9301448 9.9300670 9.9299891 9.9299112 9.9298332 23 22 21 20 19 18 43 44 45 46 47 48 9.7207538 9.7209581 9.7211623 9.721366; 9.7215704 9.7217742 10.27924/52 10.2790419 10.2788377 10.2786336 10.2784296 10.2782258 9.7909987 9.7912811 9.7915635 9.7918458 9.7921280 9.7924101 10.2090013 10.2087189 10.2081365 10.2081542 10.2078720 10.2075899 10.0702449 10.0703230 10.0704011 10.0704793 10.0705576 10.0706359 9.9297551 9.9296770 9.9295989 9.9295207 9.9294424 9.9293641 17 16 15 14 13 12 49 50 51 52 53 54 9.7219779 9.7221814 9.7223848 9.7225881 9.7227913 9.7229943 10.2780221 10.2778186 10.2776152 10.2774119 10.2772087 10.2770057 9.7926921 9.7929741 9.7932560 9.7935378 9.7938195 9.7941011 10.2073079 10.2070259 10.2067440 10.2064622 10.2061805 10.2058989 10.0707143 10.0707927 10.0708711 10.0709496 10.0710282 10.0711068 9.9292857 9.9292073 9.9291289 9.9290504 9.9289718 9.9288932 11 10 9 8 7 6 55 56 57 58 59 60 9.7231972 9.7234000 9.7236026 9.7238051 9.7240075 9.7242097 10.2768028 10.2766000 10.2763974 10.2761919 10.2759925 10.2757903 9.7943827 9.7946641 0.7949455 9.7! 152268 9.7955081 9.7957892 10.2056173 10.2053359 10.2050515 10.2047732 10.2044919 10.2042108 10.0711855 10.0712642 10.0713429 10.0714217 10.0715006 10.0715795 9.9288145 9.9287358 9.9286571 9.9285783 9.9284994. 9.9284205 5 4 3 2 1 / Co-sine. Dif. Secant. Co-tang. Dif. Tangent. Co-secant. Dif. Sine. / 121 58 LOGARITHMIC SINES, &c. 32 147 / Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. Secant. Dif. Co-sine. / 1 2 3 4 5 6 9.7242097 9.7244118 9.7246138 9.7248156 9.7250174 9.7252189 9.7254204 9.7256217 9.7258229 9.7260240 9.7262249 9.7264257 9.7266264 2021 2020 2018 2018 2015 2015 2013 2012 2011 2009 2008 2007 2005 2004 2003 2002 2000 1999 1998 1996 1996 1993 1993 1991 1990 1989 1988 1986 1985 1983 1983 1981 1980 1978 1977 1976 1975 1974 1972 1971 1970 1968 1967 1966 1965 1963 1962 1961 1960 1958 1957 1956 1955 1953 1952 1951 1950 1949 1947 1946 10.2757903 10.2755882 10.2753862 10.2751844 10.2749826 10.2747811 10.2745796 9.7957892 9.7960703 9.7963513 9.7966322 9.7969130 9.7971938 9.7974745 2811 2810 2809 2808 2808 2807 2806 2805 2804 2804 2803 2802 2801 2800 2800 2799 2798 2798 2796 2796 2795 2794 2794 2793 2792 2791 2790 2790 2789 2788 2788 2786 2786 2786 2784 2784 2783 2782 2781 2781 2780 2779 2779 2777 2777 2777 2775 2775 2774 2773 2773 2772 2771 2770 2770 2769 2768 2768 2767 2766 10.2042108 10.2039297 10.2036487 10.2033678 10.2030870 10.2028062 10.2025255 10.0715795 10.0716585 10.0717375 10.0718166 10.0718957 10.0719749 10.0720541 790 790 791 791 792 792 793 793 794 794 795 795 796 796 797 797 798 798 799 800 800 800 801 801 802 803 803 803 805 804 805 806 806 806 808 807 808 809 809 810 810 811 811 812 813 812 814 814 814 815 815 816 817 817 817 819 818 819 820 820 9.9284205 9.9283415 9.9282625 9.9281834 9.9281043 9.9280251 9.9279459 60 59 58 57 56 55 54 7 8 9 10 11 12 10.2743783 10.2741771 10.2739760 10.2737751 10.2735743 10.2733736 9.7977551 9.7980356 9.7983160 9.7985964 9.7988767 9.7991569 10.2022449 10.2019644 10.2016840 10.2014036 10.2011233 10.2008431 10.0721334 10.0722127 10.0722921 10.0723715 10.0724310 10.0725305 9.9278666 9.9277873 9.9277079 9.9276285 9.9275490 9.9274695 53 52 51 50 49 48 13 14 15 16 17 18 9.7268269 9.7270273 9.7272276 9.7274278 9.7276278 9.7278277 10.2731731 10.2729727 10,2727724 10.2725722 10.2723722 10.2721723 9.7994370 9.7997170 9.7999970 9.8002769 9.8005567 9.8008365 10.2005630 10.2002830 10.2000030 10.1997231 10.1994433 10.1991635 10.0726101 10.0726897 10.0727694 10.0728491 10.0729289 10.0730087 9.9273899 9.9273103 9.9272306 9.9271509 9.9270711 9.9269913 47 46 45 44 43 42 19 20 21 22 23 24 9.7280275 9.7282271 9.7284267 9.7286260 9.7288253 9.7290244 10.2719725 10.2717729 10.2715733 10.2713740 10.2711747 10.2709756 9.8011161 9.8013957 9.8016752 9.8019546 9.8022340 9.8025133 10.1988839 10.1986043 10.1983248 10.1980454 10.1977660 10.1974867 10.0730886 10.0731686 10.0732486 10.0733286 10.0734087 10.0734888 9.9269114 9.9268314 9.9267514 9.9266714 9.9265913 9.9265112 41 40 39 38 37 36 25 26 27 28 29 30 9.7292234 9.7294223 9.7296211 9.7298197 9.7300182 9,7302165 10.2707766 10.2705777 10.2703789 10.2701803 10.2699818 10.2697835 9.8027925 9.8030716 9.8033506 9.8036296 9.8039085 9.8041373 10.1972075 10.1969284 10.1966494 10.1963704 10.1960915 10.1958127 10.0735690 10.0736493 10.0737296 10.0738099 10.0738904 10.0739708 9.9264310 9.9263507 9.9262704 9.9261901 9.9261096 9.9260292 35 34 33 32 31 30 31 32 33 34 35 36 9,7304148 9.7306129 9.7308109 9.7310037 9.7312064 9.7314040 10.2695852 10.2693871 10.2691891 10.2689913 10.2687936 10.2685960 9.8044661 9.8047447 9.8050233 9.8053019 9.8055803 9.8058587 10.1955339 10.1952553 10.1949767 10.1946981 10.1944197 10.1941413 10.0741)513 10.0741319 10.0742125 10.0742931 10.0743739 10.0744546 9.9259487 9.9258681 9.9257875 9.9257069 9.9256261 9.9255454 29 28 27 26 25 24 37 38 39 40 41 42 9.7316015 9.7317989 9.7319961 9.7321932 9.7323902 9.7325870 10.2683985 10.2682011 10.2680039 10.2678068 10.2676098 10.2674130 9.8061370 9.8064152 9.8066933 9.8069714 9.8072494 9.8075273 10.1938630 10.1935848 10.1933067 10.1930286 10.1927506 10.1924727 10.0745354 10.0746163 10.0746972 10.0747782 10.0748592 10.0749403 9.9254646 9.9253837 9.9253028 9.9252218 9.9251408 9.9250597 23 22 21 20 19 18 43 44 45 46 47 48 9.7327837 9.7329803 9.7331768 9.7333731 9.7335693 9.7337654 10.2672163 10.2670197 10.2668232 10.2666269 10.2664307 10.2662346 9.8078052 9.8080829 9.8083606 9.8086383 9.8089158 9.8091933 10.1921948 10.1919171 10.1916394 10.1913617 10.1910842 10.1908067 10.0750214 10.0751026 10.0751839 10.0752651 10.0753465 10.0754279 9.9249786 9.9248974 9.9248161 9.9247349 9.9246535 9.9245721 17 16 15 14 13 12 49 50 51 52 53 54 9.7339614 9.7341572 9.7343529 9.7345485 9.7347440 9.7349393 10.2660386 10.2658428 10.2656471 10.2654515 10.2652560 10.2650607 9.8094707 9.8097480 9.81002-53 9.8103025 9.8105796 9.8108566 10.1905293 10.1902520 10.1899747 10.1896975 10.1894204 10.1891434 10.0755093 10.0755908 10.0756723 10.0757539 10.0758356 10.0759173 9.9244907 9.9244092 9.9243277 9.9242461 9.9241644 9.9240827 11 10 9 8 7 6 55 56 57 58 59 60 9.7351345 9.7353296 9.7355246 9.7357195 9.7359142 9.7361088 10.2648655 10.2616701 10.2644751 10.2642805 10.2640853 10.2638912 9.8111336 9.8114105 9.8116873 9.8119641 9.8122408 9.8125174 10.1888664 10.1885895 10.1883127 10.1880359 10.1877592 10.1374826 10.0759990 10.0760809 10.0761627 10.07021. Hi 10.0763266 10.0764036 9.9240010 9.9239191 9.9238373 9.9237554 9.9236734 9.9235914 5 4 3 2 / Co-sine. Dif. Secant. Co-tang. Dif. Tangent. Co-secant. Dif. Sine. / 122 ^ 67 LOGARITHMIC SINES, &c. 33 146 / Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. Secant. Dif. Co-sine. / 1 2 3 4 5 6 7 8 9 10 11 12 9.7361088 9.7363032 9.7364976 9.7366918 9.7368859 9.7370799 9.7372737 1944 1944 1942 1941 1940 1938 1938 1936 1935 1933 1933 1931 1930 1928 1928 1926 1925 1924 1923 1921 1920 1919 1918 1916 1916 1914 1913 1911 1911 1909 1908 1907 1906 1904 1903 1902 1901 1900 1898 1897 1896 1895 1894 1892 1892 1890 1889 1887 1887 1885 1884 1883 1882 1881 1879 1878 1877 1876 1875 1874 10.2638912 10.2636968 10.2635024 10.2633082 10.2631141 10.2629201 10.2627263 9.8125174 9.8127939 9.8130704 9.8133468 9.8136231 9.8138993 9.8141755 2765 2765 2764 2763 2762 2762 2761 2761 2759 2759 2759 2757 2757 2756 2756 2755 2754 2753 2753 2752 2751 2751 2750 2749 2748 2748 2748 2746 2746 2745 2743 2743 2743 2743 2742 2741 2740 2740 2739 2739 2737 2738 2736 2736 2735 2734 2734 2733 2733 2732 2731 2730 2730 2730 2728 2728 2727 2727 2726 2725 10.1874826 10.1872061 10.1869296 10.1866532 10.1863769 10.1861007 10.1858245 10.0764086 10.0764907 10.0765728 10.0766550 10.0767372 10.0768195 10.0769018 821 821 822 822 823 823 824 824 825 825 826 826 827 328 828 828 830 829 830 831 831 832 832 833 833 834 834 835 835 836 837 836 838 838 839 839 839 840 841 841 842 842 843 843 844 845 844 846 846 846 847 848 848 849 84-9 850 850 851 851 852 9.9235914 9.9235093 9.9234272 9.9233450 9.9232628 9.9231805 9,9230982 60 59 58 57 56 55 54 9.7374675 9.7376611 9.7378546 9.7380479 9.7382412 9.7384343 10.2625325 10.2623389 10.2621454 10.2619521 10.2617588 10.2615657 9.8144516 9.8147277 9.8150036 9.8152795 9.8155554 9.8158311 10.1855484 10.1852723 10.1849964 10.1847205 10.1844446 10,1841689 10.076984-2 10.0770666 10.0771491 10.0772316 10.0773142 10,0773968 9.9230158 9.9229334 9.9228509- 9.9227684 9.9226858 9.9226032 53 '52 31 K 49 48 13 14 15 16 17 18 9.7386273 9.7388201 9.7390129 9.7392055 9.7393980 9.7395904 10.2613727 10.2611799 10.2609871 10.2607945 10.2606020 10.2604096 10.2602173 10.2600252 10.2598332 10.2596413 10.2594495 10.2592579 10.2590663 10.2588749 10.2586836 10.2584925 10.2583014 10.2581105 9.8161068 9.8163824 9.8166580 9.8169335 9.8172089 9.8174842 10.1838932 10.1836176 10.1833420 10.1830665 10.1827911 10.1825158 10.0774795 10.0775623 10.0776451 10.0777279 10.0778109 10.0778938 9.9225205 9.9224377 9.9223549 9.9222721 9.9221891 9.9221062 9.922023^ 9.9219401 9.9218570 9.9217738 9.9216906 9.9216073 47 46 45 %4 43 42 19 20 21 22 23 24 9.7397827 9.7399748 9.7401668 9.7403587 9.7405505 9.7407421 9.8177595 9.8180347 9.8183098 9.8185849 9.8188599 9.8191348 10.1822405 10.1819653 10.1816902 10.1814151 10.1811401 10.1808652 10.0779768 10.0780599 10.0781430 10.0782262 10.0783094 10.0783927 41 40 39 38 37 36 25 26 27 28 29 30 9.7409337 9.7411251 9.7413164 9.7415075 9.7416986 9.7418895 9.8194096 9.8196844 9.8199592 9.8202338 9.8205084 9.8207829 10.1805904 10.1803156 10.1800408 10.1797662 10.1794916 10.1792171 10.0784760 10.0785594 10.0786428 10.0787263 10.0788098 10.0788934 9.9215240 9.9214406 9.9213572 9.9212737 9.9211902 9.9211066 35 54 33 32 31 30 31 32 33 34 35 36 9.7420803 9.7422710 9.7424616 9.7426520 9.7428423 9.7430325 10.2579197 10.2577290 10.2575384 10.2573480 10.2571577 10.2569675 9.8210574 9.8213317 9.8216060 9.8218803 9.8221545 9.8224286 9.8227026 9.8229766 9.8232505 9.8235244 9.8237981 9.8240719 10.1789426 10.1786683 10.1783910 10.1781197 10.1778455 10.1775714 10.0789771 10.0790607 10.0791445 10.0792283 10.0793122 10.0793961 9.9210229 9.9209393 9.9208555 9.9207717 9.9206878 9.9206039 29 28 27 26 25 24 h 37 38 39 40 41 42 9.7432226 9.7-13 11 26 9.7456024 9.7437921 9.7439817 9.7441712 10.2567774 10.2565874 10.2563976 10.2562079 10.2560183 10.2558288 10.1772974 10.1770234 10.1767495 10.1764756 10.1762019 10.1759281 10.0794800 10.0795640 10.0796481 10.0797322 10.0798164 10.0799006 9.9205200 9.9204360 9.9203519 9.9202678 9.9201836 9.9200994 23 22 21 20 19 18 17 16 15 14 13 12 43 44 45 46 47 48 9.7443606 9.7445493 9.7447390 9.7449280 9.7451169 9.7453056 10.2556394 10.2554502 10.2552610 10.2550720 10.2548831 10.2546944 9.8243455 9.8246191 9.8248926 9.8251660 9.8254394 9.8257127 10.1756545 10.1753809 10.1751074 10.1748340 10.1745606 10.1742873 10.0799819 10.0800692 10.0801536 10.0802381 10.0803225 10.0804071 9.9200151 9.9199308 9.9198464 9.9197619 9.9196775 9.9195929 49 50 51 52 53 54. 9.7454943 9.7456828 9.7458712 9.7460595 9.7462477 9.7464358 10.2515057 10.2543172 10.254-1288 10.2539405 10.2537523 10.2535642 9.8259860 9.8262592 9.8265323 9.8268053 9.8270783 9.8273513 10.1740140 10.1737408 10.1734677 10.1731947 10.1729217 10.1726487 10.0804917 10.0805763 10.0806610 10.08074,% 10.0808306 10.0809155 10.0810004 10.08 10354 10.0811704 10.0812555 10.0813406 10.0814258 Co-secant. 9.9195083 9.9194237 9.9193390 9.9192542 9.9191694 9.9190845 11 10 9 8 7 6 55 5G 57 58 59 60 9.7466237 9.7468115 9.7469992 9.7471868 9.7473743 9.7475617 10.2533763 10.2531885 10.2530008 10.2528132 10.2526257 10.2524383 9.8276241 9.8278969 9.8281696 9.8284423 9.8287149 9.8289874 10.1723759 10.1721031 10.1718304 10.1715577 10.1712851 10.1710126 9.9189996 9.9189146 9.9188296 9.9187445 9. 91 8659 i 9.9185742 5 4 3 2 1 / Co-sine. | Dif. Secant. Co-tang. Dif. Tangent. Dif. Sine. / 123 56 LOGARITHMIC SINES, &c. 34 145 / Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. Secant. 10.08 1425~8 10.0815110 10.0815963 10.0816817 10.0817671 10.0818525 10.0819380 Dif. 852 853 854 854 854 855 856 856 857 857 858 858 859 859 860 860 861 862 862 862 863 864 864 865 865 866 867 866 868 868 868 869 870 870 871 871 872 872 873 873 874 875 875 875 877 876 877 878 879 878 880 880 880 881 882 882 883 883 883 885 Co-sine. 9.9185742 9.9184890 9.9184037 9.9183183 9.9182329 9.9181475 9.9180620 / 1 2 3 4 5 G 9.7475617 9.7477489 9.7479360 9.7481230 9.7483099 9.7484967 9.7486833 1872 1871 1870 1869 1868 1866 1865 1864 1863 1862 1861 1859 1859 1857 1856 1855 1853 1853 1851 1851 1849 1847 1847 1846 1844 1844 1842 1841 1840 1838 1838 1836 1836 1834 1833 1831 1831 1830 1828 1827 1827 1825 1824- 1822 1822 1820 1820 1818 1817 1816 1815 1814 1812 1812 1810 1809 1808 1807 1806 1805 10.2524383 10.2522511 10.2520640 10.2518770 10.2516901 10.2515033 10.2513167 9.8289874 9.8292599 9.8295323 9.8298047 9.8300769 9.8303-192 9.8306213 2725 2724 2724 2722 2723 2721 2721 2720 2720 2719 2718 2718 2717 2717 2716 2715 2715 2714 2713 2713 2712 2712 2711 2710 2710 2709 2708 2708 2707 2707 2706 2706 2705 2704 2703 2704 2702 2702 2701 2701 2700 2699 2699 2699 2697 2698 2696 2696 2696 2694 2695 2693 2693 2693 2692 2691 2691 2690 2690 2689 10.1710126 10.1707401 10.1704677 10.1701953 10.1699231 10.1696508 10.1693787 60 59 58 57 56 55 54 7 8 9 10 11 12 9.7488698 9.7490562 9.7492425 9.7494287 9.7496148 9.7498007 10.2511302 10.2509438 10.2507575 10.2505713 10.2503852 10.2501993 9.8308934 9.8311654 9.8314374 9.8317093 9.8319811 9.8322529 10.1691066 10.1688346 10.1685626 10.1682907 10.1680189 10.1677471 10.0820236 10.0821092 10.0821949 10.0822806 10.0823664 10.082-4522 9.9179764 9.9178908 9.9178051 9.9177194 9.9176336 9.9175478 53 52 51 50 49 48 13 14 15 16 17 18 9.7499866 9.7501723 9.7503579 9.7505434 9.7507287 9.7509140 10.2500134 10.2498277 10.2496421 10.2494566 10.2492713 10.2490860 9.8325246 9.8327963 9.8330679 9.8333394 9.8336109 9.8338823 10.1674754 10.1672037 10.1669321 10.1666606 10.1663891 10.1661177 10.0825381 10.0826240 10.0827100 10.0827960 10.0828821 10.0829683 9.9174619 9.9173760 9.9172900 9.9172040 9.9171179 9.9170317 47 46 45 44 43 42 19 20 21 22 23 24 9.7510991 9.7512842 9.7514691 9.7516538 9.7518385 9.7520231 10.2489009 10.2487158 10.2485309 10.2483462 10.2481615 10.2479769 9.8341536 9.8344249 9.8346961 9.8349673 9.8352384 9.8355094 10.1658164 10.1655751 10.1653039 10.1650327 10.1647616 10.1644906 10.0830545 1 0.083 1407 10.0832270 10.0833134 10.0833998 10.0834863 9.9169455 9.9168593 9.9167730 9.9166866 9.9166002 9.9165137 41 10 39 38 37 36 25 26 27 28 29 30 9.7522075 9.7523919 9.7525761 9.7527602 9.7529442 9.7531280 10.2477925 10.2476081 10.2474239 10.2472398 10.2470558 10.2468720 9.8357804 9.8360513 9.8363221 9.8365929 9.8368636 9.8371343 10.1642196 10.1639487 10.1636779 10.1631071 10.1631364 10.1628657 10.0835728 10.0836594 10.0837461 10.0838327 10.0839195 10.0840063 9.9164272 9.9163406 9.9162539 9.9161673 9.9160805 9.9159937 35 34 33 32 31 30 31 32 33 34 35 36 9.7533118 9.7534954 9.7536790 9.7538624 9.7540457 9.7542288 10.2466882 10.2165046 10.2463210 10.2461376 10.2459543 10.2457712 9.8374049 9.8376755 9.8379460 9.8382164 9.8384867 9.8387571 10.1625951 10.1623245 10.1620540 10.1617836 10.1615133 10.1612129 10.0840931 10.0811800 10.0842670 10.0813540 10.0814411 10.0845282 9.9159069 9.9158200 9.9157330 9.9156460 9.9155589 9.9154718 29 28 27 26 25 24 37 38 39 40 41 4-2 9.7544119 9.7545949 9.7547777 9.7549604 9.7551431 9.7553256 10.2455831 10.215 1051 10.2452223 10.2450396 10.244.8569 10.2446744 9.8390273 9.8392975 9.8395676 9.8398377 9.8401077 9.8103776 10.1609727 10.1607025 10.1604324 10.1601623 10.1 5989 J.'J 10.1596224 10.0846154 10.0817026 10.0847899 10.0848772 10.0819616 10.0850521 9.9153846 9.9152974 9.9152101 9.9151228 9.9150351 9.9149479 23 22 21 20 19 18 43 44 45 46 47 48 9.7555080 9.7556902 9.7558724 9.7560544. 9.7562364 9.7564182 10.2444920 10.2443098 10.2441276 10.24 391. 56 10.2437636 10.2435818 9.8106475 9.8109171. 9.8411871 9.8114569 9.8417265 9.8119961 10.1593525 10.159082(5 10.1588129 10.1585131 10.1582735 10.1580039 10.0851396 10.0852271 10.0853148 10.0854024 10.0854901 10.0855779 9.9148604 9.9147729 9.9146852 9.9145976 9.9145099 9.9144221 17 16 15 14 13 12 49 50 51 52 53 54 9.7565999 9.7567815 9.7569630 9.7571444 9.7573256 9.7575068 10.2434001 10.2432185 10.2430370 10.2428556 10.2426744 10.2124932 9.8122657 9.8125351 9.8428016 9.8430739 9.8133432 9.8436125 9.8438817 9,8441508. 9.8444199 9'.8446889 9:84-19579 9.8452268 10.1577343 10.1574619 10.1571954 10.1569261 10.1566568 10.1563875 10.0856658 10.0857536 10.0858416 10.0859296 10.0860176 10.0861057 9.9143342 9.9142464 9.9141584 9.9140704 9.9139824 9.9138943 11 10 9 8 7 6 55 56 57 58 59 CO 9.7576878 9.7578G87 9.7580195 9.7582302 9.7584108 9.7585913 10.2423122 10.2121313 10.2419505 10.2417698 10.2415892 10.2414087 10.1561183 10.1558492 10.1555801 10.1553111 10.1550121 10.1547732 10.0861939 10.0862821 10.0863704 10.0864587 10.0865170 10.0866355 9.9138061 9.9137179 9.9136296 9.9135413 9.9134530 9.9133645 5 4 3 2 1- / Co-sine. Dif. Secant. Co tang. Dif. Tangent. Co-secant. Dif. Sine. / 124 65 LOGARITHMIC SINES, &c. 35 144 / Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. Secant. 10.0866355 10.0867240 10.08C.8I25 10.0869011 10.08(59898 10.0870785 10.0871672 Dif. Co-sine. / 1 2 3 4 5 6 9.7585913 9.7587717 9.7589519 9.7591321 9.7593121 9.7594920 9.7596718 1804 1802 1802 1800 1799 1798 1797 1796 1795 1793 1793 1791 1791 1789 1788 1787 1786 1781 1784 1783 1781 1781 1779 1778 1777 1776 1775 1774 1773 1771 1771 1769 1769 1767 1766 1765 1764 1763 1762 1761 1760 1758 1758 1756 1756 1754 1753 1752 1752 1750 1748 1748 1747 1746 1745 1743 1743 1741 1741 1739 10.2414087 10.2412283 10.2410481 10.2408679 10.2406879 10.2405080 10.2-103282 9.0152268 9.8454956 9.8 157641. 9.8160332 9. 8 1630 18 9.84-65705 9.8468390 2688 2688 2688 2686 2687 2685 2685 2685 2684 2683 2683 2682 2682 2681 2681 2680 2680 2679 2678 2678 2677 2677 2676 2676 2675 2675 2674 2674 2673 2672 2672 2671 2671 2671 2669 2670 2668 2669 2667 2668 2666 2666 2666 2665 2665 2664 2663 2663 2663 2662 2661 2661 2661 2659 2660 2659 52658 2658 2(558 2656 10.1547732 10.1545041 10.1542356 10.1539668 10.1536982 10.1534295 10.1531610 885 885 886 887 887 887 888 889 889 890 890 891 892 892 892 893 894 894 895 895 896 897 896 898 898 899 899 900 900 901 901 902 902 904 903 904 905 905 906 907 906 908 908 909 909 910 910 911 911 912 913 913 913 915 914 916 916 916 917 918 9.9133645 9.9132760 9.9131375 9.9130989 9.9130102 9.9129215 9.9128328 60 59 58 57 56 55 54 7 8 9 10 11 12 9.7598515 9.7600311 9.7602106 9.7603899 9.7605692 9.7607483 10.2401485 10.2399689 10.2397894 10.2396101 10.2394308 10.2392517 9.8471075 9.8473760 9.8476444 9.8479127 9.8481810 9.84844-92 10.1528925 10.1526240 10.1523556 10.1520873 10.1518190 10.1515508 10.08725(50 10.0873419 10.0874338 10.0875228 10.0876118 10.0877009 9.9127440 9.9126551 9.9125662 9.9124772 9.9123882 9.9122991 53 52 51 50 49 48 13 14 15 16 17 18 9.7609274 9.7611063 9.7612851 9.7614638 9.7616424 9.7618208 10.2390726 10.2388937 10.2387149 10.2385362 10.2383576 10.2381792 9.8487174 9.8489855 9.8492536 9.8495216 9.8497896 9.8500575 10.1512826 10.1510145 10.1507464 10.1504784 10.1502104 10. 1499425 10.0877901 10.0878793 10.0379685 10.0880578 10.0881472 10.0882366 9.9122099 9.9121207 9.9120315 9.9119422 9.91 18528 9.9117634 47 46 45 44 43 42 19 20 21 22 23 24 9.7619992 9.7621775 9.7623556 9.7625337 9.7627116 9.7628894 10.2380008 10.2378225 10.2376444 10.2374663 10.2372884 10.2371106 9.8503253 9.8505931 9.8508608 9.8511285 9.8513961 9.8516637 10.1496747 10.1494069 10.1491392 10.1488715 10.1486039 10.1483363 10.0883261 10.0884156 10.0885052 10.0885919 10.0886845 10.0887743 9.91 16739 9.9115844 9.9114948 9.9114051 9.9113155 9.9112257 41 40 39 38 37 36 25 2G 27 28 29 30 9.7630671 9.7632447 9.7634222 9.7635996 9.7637769 9.7639540 10.2369329 10.2367553 10.2365778 10.2364004 10.2362231 10.2360460 9.8519312 9.8521987 9.8524661 9.8527335 9.8530008 9.8532680 10.1480688 10.1478013 10.1475339 10.1472665 10.1469992 10.1467320 10.0888641 10.0889540 10.0890-139 10.0891339 10.0892239 10.0893140 9.9111359 9.9110460 9.9109561 9.9108661 9.9107761 9.9106860 35 34 33 32 31 30 31 32 33 31 35 36 9.7641311 9.7643080 9.7644849 9.7646616 9.7648382 9.7650147 10.2358689 10.2356920 10.2355151 10.2353384 10.2351618 10.2349853 9.8535352 9.8538023 9.8540694 9.8543365 9.8646034 9.8548704 10.1461648 10.1461977 10.1459306 10.1456635 10.1453966 10.1451296 10.0894041 10.0894913 10.0895845 10.0896748 10.0897652 10.0898556 9.9105959 9.9105057 9.9104155 9.9103251 9.9102348 9.9101444 29 28 27 26 25 24 37 38 39 40 41 42 9.7651911 9.7653674 9.7655436 9.7657197 9.7658957 9.7660715 10.2348089 10.2346326 10.2314564 10.2342803 10.2341043 10.2339285 9.8551372 9.8554041 9.8556708 9.8559376 9.8562042 9.8564708 10.1448628 10.1415959 10.1443292 10.1440624 10.1437958 10.1435292 10.0899461 10.0900366 10.0901272 10.0902179 10.0903085 10.0903993 9.9100539 9.9099634 9.9098728 9.9097821 9.9096915 9.9096007 23 22 21 20 19 18 43 44 45 46 4-7 48 9.7662473 9.7664229 9.7665985 9.7667739 9.7669492 9.7671244 10.2337527 10.2335771 10.2334015 10.2332261 10.2330508 10.2328756 9.8567374 9.8570039 9.8572704 9.8575368 9.8578031 9.8580694 10.1432626 10.1429961 10.1427296 10.1424632 10.1421969 10.1419306 10.0904901 10.0905810 10.0906719 10.0907629 10.0908539 10.0909450 9.9095099 9.9094190 9.9093281 9.9092371 9.9091461 9.9090550 17 16 15 14 13 12 49 50 51 52 53 54 9.7672996 9.7674716 9.7676m 9.7678242 9.7679989 9.7681735 10.2327004 10.2325251 10.2323.W6 10.2321758 10.2320011 10.2318265 10.2316520 10.2314777 10.2313034 10.2311293 10.2309552 10.2307813 9.8583357 9.8586019 9.:55M868f) 9.8591341 9.8594002 9.8596661 10.1416643 10.1413981 10.1411320 10.1408659 10.1405998 10.1403339 10.0910361 10.0911273 10.0912186 10.0913099 10.0914012 10.0914927 9.9089639 9.9088727 9.9087814 9.9086901 9.9085988 9.9085073 11 10 9 8 7 6 55 56 57 58 59 60 9.7683480 9.7685*23 9.7686966 9.7688707 9.7690448 9.7692187 9.8599321 9.8601980 9.8601638 9.86072% 9.860995 1 9.8612610 10.1400679 10.1398020 10.1395362 10.1392704 10.1390046 10.1387390 10.0915841 10.0916757 10.0917673 10.0918589 10.0919506 10.0920424 9.9084159 9.9083243 9.9082327 9.9081411 9.9080494 9.9079576 5 4 3 2 / Co-sine. Dif. Secant. Co-tan!.'. Dif. Tanpent. Co-secant. Dif. Sine. i 54 125 LOGARITHMIC SINES, &c. 36 143 / Sine. Dif. Co-secant. Tangent. Dif. 2657 26.56 2655 2655 2654 2654 2654 2653 2652 2652 2651 2651 2651 2650 2649 2649 2649 2648 2647 2647 2647 2646 2646 2645 2645 2644 2643 2644 2642 2643 2642 2641 2641 2640 2640 2640 2639 2638 2638 2638 2637 2637 2636 2636 2636 2634 2635 2634 2633 2634 2632 2632 2632 2631 2631 2631 2630 2629 2629 2629 Co-tangent. Secant. Dif. Co-sine. / 1 2 3 4 5 6 9.7692187 9.7693925 9.7695662 9.7697398 9.7699131 9.7700868 9.7702601 1738 1737 1736 1736 1734 1733 1731 1731 1730 1729 1727 1727 1726 1724 1724 1722 1721 1721 1719 1718 1717 1717 1715 1714 1713 1712 1710 1710 1709 1708 1707 1705 1705 1704 1702 1702 1700 1700 1698 1698 1696 1696 1694 1693 1693 1691 1690 1689 1689 1687 1686 1685 1684 1683 1682 1681 1680 1679 1678 1677 10.2307813 10.2306075 10.2304338 10.2302602 10.2300866 10.2299132 10.2297399 9.8612610 9.8615267 9.8617923 9.8620578 9.8623233 9.8625887 9.8628541 10.1387390 10.1384733 10.1382077 10.1379422 10.1376767 10.1374113 10.1371459 10.0920424 10.0921342 10.0922260 10.0923180 10.0924099 10.0925020 10.0925941 918 918 920 919 921 921 921 922 923 923 924 924 925 926 926 926 927 928 928 929 930 930 930 931 932 932 933 933 934 935 935 936 936 937 937 938 938 939 940 940 941 941 942 943 943 944 944 945 945 946 946 947 -948 948 949 950 950 950 951 952 Dif. 9.9079576 9.9078658 9.9077740 9.9076820 9.9075901 9.9074980 9.9074059 60 59 58 57 56 55 54 7 8 9 10 11 12 9.7704332 9.7706063 9.7707793 9.7709522 9.7711249 9.7712976 10.2295668 10.2293937 10.2292207 10.2290478 10.2288751 10.2287024 9.8631195 9.8633848 9.8636500 9.8639152 9.8641803 9.8644454 10.1368805 10.1366152 10.1363500 10.1360848 10.1358197 10.1355546 10.0926862 10.0927784 10.0928707 10.0929630 10.0930554 10.0931478 9.9073138 9.9072216 9.9071293 9.9070370 9.9069446 9.9068522 53 52 51 50 49 48 13 14 15 16 17 18 9.7714702 9.7716426 9.7718150 9.7719872 9.7721593 9.7723314 10.2285298 10.2283574 10.2281850 10.2280128 10.2278407 10.2276686 9.8647105 9.8649755 9.8652404 9.8655053 9.8657702 9.8660350 10.1352895 10.1350245 10.1347596 10.1344947 10.1342298 10.1339650 10.0932403 10.0933329 10.0934255 10.0935181 10.0936108 10.0937036 9.9067597 9.9066671 9.9065745 9.9064819 9.9063892 9.9062964 47 46 45 44 43 42 19 20 21 22 23 24 9.7725033 9.7726751 9.7728468 9.7730185 9.7731900 9.7733614 10.2274967 10.2273249' 10.2271532 10.2269815 10.2268100 10.2266386 9.8662997 9.8665644 9.8668291 9.8670937 9.8673583 9.8676228 10.1337003 10.1334356 10.1331709 10.1329063 10.1326417 10.1323772 10.0937964 10.0938893 10.0939823 10.0940753 10.0941683 10.0942614 9.9062036 9.9061107 9.9060177 9.9059247 9.9058317 9.9057386 41 40 39 38 37 36 25 26 27 28 29 30 9.7735327 9.7737039 9.7738749 9.7740459 9.7742168 9.7743876 10.2264673 10.2262961 10.2261251 10.2259541 10.2257832 10.2256124 9.8678873 9.8681517 9.8684160 9.8686804 9.8689446 9.8692089 10.1321127 10.1318483 10.1315840 10.1313196 10.1310554 10.1307911 10.0943546 10.0944478 10.0945411 10.0946344 10.0947278 10.0948213 9.9056454 9.9055522 9.9054589 9.9053656 9.9052722 9.9051787 35 34 33 32 31 30 31 32 33 34 %> 36 9.7745583 9.7747288 9.7748993 9.7750697 9.7752399 9.7754,101 10.2254417 10.2252712 10.2251007 10.2249303 10.2247601 10.2245899 9.8694731 9.8697372 9.8700013 9.8702653 9.8705293 9.8707933 10.1305269 10.1302628 10.1299987 10.1297347 10.1294707 10.1292067 10.0949148 10.0950084 10.0951020 10.0951957 10.0952894 10.0953832 9.9050852 9.9049916 9.9048980 9.90480443 9.9047106 9.9046168 29 28 27 26 25 24 37 38 39 40 41 42 9.7755801 9.7757501 9.7759199 9.7760897 9.7762593 9.7764289 10.2244199 10.2242499 10.2240801 10.2239103 10.2237407 10.2235711 10.2234017 10.2232324 10.2230631 10.2228940 10.2227250 10.2225561 9.8710572 9.8713210 9.8715848 9.8718486 9.8721123 9.8723760 10.1289428 10.1286790 10.1284152 10.1281514 10.1278877 10.1276240 10.0954770 10.0955709 10.0956649 10.0957589 10.0958530 10.0959471 9.9045230 9.9044291 9.9043351 9.9042411 9.9041470 9.9040529 23 22 21 20 19 18 43 44 45 46 47 48 9.7765983 9.7767676 9.7769369 9.7771060 9.7772750 9.7771439 9.8726396 9.8729032 9.8731668 9.8734302 9.8736937 9.8739571 10.1273604 10.1270968 10.1268332 10.1265698 10.1263063 10.1260429 10.0960413 10.0961356 10.0962299 10.0963243 10.0964187 10.0965132 9.9039587 9.9038644 9.9037701 9.9036757 9.9035813 9.9034868 17 16 15 14 13 12 49 50 51 52 53 54 9.7776128 9.7777815 9.7779501 9.7781186 9.7782870 9.7784553 10.2223872 10.2222185 10.2220499 10.2218814, 10.2217*130 10.2215147 9.8742204 9.8744838 9.8747470 9.87501P2 9.8752734 9.8755365 10.1257796 10.1255162 10.1252530 10.12498918 10.1247266 10.1244635 10.0966077 10.0967023 10.0967969 10.0968916 10.0969864 10.0970812 9.9033923 9.9032977 9.9032031 9.9031084 9303013IT 9.9029188 11 10 9 8 '.7 6 55 56 57 58 59 60 9.7786235 9.7787916 9.7789596 9.7791275 9.7792953 9.7794630 10.2213765 10.2212084 10.2210404 10.2208725 10.2207047 10.2205370 9.8757996 9.8760627 9.8763257 9.8765886 9.8768515 9.8771144 10.1242004 10.1239373 10.1236743 10.1234114 10.1231485 10.1228856 10.0971761 10.0972711 10.0973661 10.0974611 10.0975562 10.0976514 9.9028239 9.9027289 9.9026339 9.9025389 9.9024438 9.9023486 5 4 3 a / Co-sine. Dif. Secant. Co-tang. Dif. Tangent. Co-secant. Sine. / 126 53 . LOGARITHMIC SINES, &c. 37 142 / Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. Secant. Dif. Co-sine. / 60~ 59 58 57 56 55 54 1 o 3 4 5 6 9.7794630 9.7796306 9.7797981 9.7799655 9.7801328 9.7803000 9.7804671 1676 1675 1674 1673 1672 1671 1670 1669 1667 1667 1666 1665 1664 1663 1662 1660 1660 1659 1658 1657 1656 1654 1654 1653 1652 1651 1650 1649 1647 1647 1646 1645 1644 1643 1642 1641 1640 1639 1638 1637 1636 1635 1634 1633 1632 1631 1630 1629 1628 1628 1(526 1625 1624 1624 1622 1621 1621 1619 1618 1618 10.2205370 10.2203694 10.2202019 10.2200345 10.2198672 10.2197000 10.2195329 9.8771144 9.8773772 9.8776400 9.8779027 9.8781651 9.8784281 9.878G907 2628 2628 2627 2627 2627 2626 2626 2625 2624 2625 2624 2623 2623 2623 2622 2622 2621 2621 2621 2620 2619 2620 2618 2619 2618 2617 2618 2616 2617 2616 2615 2615 2615 2614 2614 2614 2613 2613 2612 2612 2612 2611 2610 2611 2610 2609 2609 2609 2609 2608 2607 2f>07 2607 2607 2606 2605 2606 2605 2604 2604 10.1228856 10.1226228 10.1223600 10.1220973 10.1218346 10.1215719 10.1213093 10.0976514 10.0977466 10.0978419 10.0979372 10.098032(5 10.0981281 10.0982236 952 953 953 954 955 955 956 956 957 957 958 959 959 960 960 961 962 962 963 963 964 964 965 966 966 967 967 968 968 969 970 970 971 972 972 972 973 974 974 975 976 976 977 977 978 978 979 980 980 981 981 982 983 983 984 984 985 !>,% 986 987 i).!H)'i348l5 9.9022534- 9.9021581 9.9020628 9.9019674 9.9018719 9.9017764 7 8 9 10 11 12 9.7806341 9.7808010 9.7809677 9.7811344 9.7813010 9.7814675 10.2193659 10.2191990 10.2190323 10.2188656 10.2186990 10.2185325 9.8789533 9.8792158 9.8794782 9.8797407 9.8800031 9.8802654 10.1210467 10.1207842 10.1205218 10.1202693 10.1199969 10.1197316 10.0983192 10.0984148 10.0985105 10.098(50(52 10.0987020 10.0987979 10.0988938 10.0989898 10.0990858 10.0991819 10.0992781 10.0993743 9.9016808 9.9015852 9.9014895 9.9013938 9.9012980 9.9012021 53 52 51 50 49 48 13 14 15 16 17 18 9.7816339 9.7818002 9.7819664 9.7821324 9.7822984 9.7824643 10.2183661 10.2181998 10.2180336 10.2178676 10.2177016 10.2175357 9.8805277 9.8807900 9.8810522 9.8813144 9.8815765 9.8818386 10.1194723 10.1192100 10.1189478 10.1186856 10.1184235 10.1181614 9.9011062 9.9010102 9.9009142 9.9008181 9.9007219 9.9006257 47 46 45 44 43 42 19 20 21 22 23 24 9.7826301 9.7827958 9.7829614 9.7831268 !..78.32I22 9.7834575 10.2173699 10.2172042 10.2170386 10.2168732 10.2167078 10.2165425 9.8821007 9.8823627 9.8826246 9.8828866 9.8831484 9.8834103 9.8836721 9.8839338 9.8841956 9.8844572 9.8S47189 9.8849305 10.1178993 10.1176373 10.1173754 10.1171134 10.1168516 10.1165897 10.0994706 10.0995669 10.099(5633 10.0997597 10.09985(52 10.0999528 9.9005294 9.9004331 9.9003367 9.9002403 9.9001438 9.9000472 41 40 39 38 37 36 25 Xl) 27 28 29 30 9.7836227 9.7837878 9.7839528 9.7841177 9.7842824 9.7814471 10.2163773 10.2162122 10.2160472 10.2158823 10.2157176 10.2155529 10.1163279 10.1160662 10.1158044 10.1155423 10.1152811 10.1150195 10.1000494 10.1001461 10.1002428 10.1003396 10.1004364 10.1005333 9.8999506 9.8998539 9.8997572 9.8996604 9.8995636 9.8994667 35 34 33 32 31 30 31 32 33 34 35 36 9.7846117 9.7847762 9.7849406 9.7851049 9.7852691 9.7854332 10.2153883 10.2152238 10.2150594 10.2148951 10.2147309 10.2145668 9.8852420 9.8855035 9.8857650 9.8860264 9.8862878 9.8865492 10.1147580 10.1144965 10.1142350 10.1139736 10.1137122 10.1134508 10.1006303 10.1007273 10.100K214 10.1009216 10.1010188 10.1011160 9.8993697 9.8992727 9.8991756 9.8990784 9.8989812 9.8988840 29 28 27 26 25 24 37 38 39 40 41 42 9.7855972 9.7857611 9.7859249 9.7860886 9.7862522 9.7864157 10.2144028 10.2142389 10.2140751 10.2139114 10.2137478 10.2135843 10.2134209 10.2132576 10.2130944 10.2129313 10.2127683 10.2126054 9.8868105 9.8870718 9.8873330 9.8875942 9.8878554 9.8881165 10.1131895 10.1129282 10. 112(1670 10.1124058 10.1121446 10.1118835 10.1012133 10.1013107 10.1014081 10.1015056 10.1016032 10.1017008 9.8987867 9.8986893 9.8985919 9.8984944 9.8983968 9.8982992 23 22 21 20 19 18 43 44 45 46 47 48 9.7865791 9.7867424 9.7B6W56 9.7870687 9.7872317 9.715739 W 9.8883775 9.8886386 9.8888996 9.8891605 9.8894214 9.8896823 10.1116225 10.1113614 10.1111004 10.1108395 10.1105786 10.1103177 10.1017985 10.1018962 10.1019940 10.1020918 10.1021897 10.1022877 9.8982015 9.8981038 9.8980060 9.8979082 9.8978103 9.8977123 17 16 15 14 13 12 49 50 51 52 53 54 9.7875574 9.7877202 9.7878828 9.7880433 9.7882077 9.7883701 10.21 24426 10.2122798 10.2121172 10.2119547 10.2117923 10.2116299 9.8899432 9.8902040 9.8904647 9.8907254 !).H9{)9!;61 9.8912468 10.1100568 10.1097960 10.1095353 1 0.1 0927- Ifi 10.1090139 10.1087532 10.1023857 10.1024838 10.1025819 10.102CK01 10.1027784 10.1028767 9.8976143 9.8975162 9.8974181 9.W731W 9.W72216 9.8971233 11 10 9 8 7 6 55 56 57 58 59 60 9.7885323 9.78869 14 9.7888565 9.7890184 9.7891802 9.7893420 10.2114(577 10.2113056 10.2111!;::) 10.2109816 10.21 08 19i! 10.2106580 9.8915074 9.W17679 9.8920285 9.8922890 9.8925494 9.8928098 10.1084926 10.1082321 10.1079715 10.1077110 10.1074506 10.1071902, 10.1029751 10.1030735 10.1031720 10.1032706 10.1033692 10.1034679 9.W70249 9.89C9265 9. !:%:::,;<) 9.8967294 9.896(5308 9.8965321 5 4 3 2 / Co-sine. Dif. Secant. Co-tang. Dif. Tangent. Co- secant. Dif. Sine. / 127 52 LOGARITHMIC SINES, &c. 38 141 / Sine. Dif. Co-i?cc;iiit. Tan rent. Dif. Co-tangent. Secant. Dif. Co-sine. / 1 2 3 4 5 6 9.7893420 9.7895036 9.7896652 9.789826(5 9.7899880 9.7901493 9.7903104 1616 1616 1614 1614 1613 1611 1611 1610 1608 1608 1607 1606 1605 1604 1603 1602 1601 1600 1599 1598 1597 1597 1595 1594 1594 1592 1592 1590 1590 1589 1587 1587 1586 1585 1584 1583 1582 1581 1580 1579 1579 1577 1576 1576 1574 1571^ 1573 1571 1571 1570 1569 1568 1667 1566 1565 1564 1564 15(12 J562 1560 10.2106580 10.21 Oi'Ait 10.2103348 10.2101734 10.2100120 10.21 )!)}!507 10.2096896 9.8928098 9.8930702 9.8933306 9.8935909 9.8938511 9.8941114 9.8943715 2604 2604 2603 2602 2603 2601 2602 2601 2601 2600 2600 2600 2599 2599 2599 2598 2598 2598 2597 2597 2596 2596 2596 2595 2595 2595 2594 2594 2.3!) 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Co-sine. / 2 3 4 5 6 9.7988718 9.7990278 9.7991836 9.7993394 9.7994951 9.7996507 9.7998062 1560 1558 1558 1557 1556 1555 1554 1553 1552 1551 1551 1549 1549 1547 1547 1546 1515 1543 1543 1543 1541 1510 1539 1539 1537 1537 1536 1534 1534 1533 1532 1531 1531 1529 1529 1527 1527 1525 1525 1524 1523 1522 1521 1521 1519 1519 1517 1517 1516 1515 1514 1513 1512 1512 1510 1510 1.508 1508 1507 1506 10.2011282 10.200! 7 2 2 10.2008164 10.2006606 10.2005049 10.20031 !l,3 10.2001938 9.9083692 9.9086275 9.90H8K58 9.9091440 9.9094022 9.9096603 9.9099185 2583 2583 2582 2582 2581 2582 2581 2581 2580 2580 2580 2579 2579 2579 2579 2578 2578 2578 2577 2577 2577 2576 2576 2576 2575 2576 2575 2574 2575 2574 2573 2574 2573 2573 2573 2572 2572 2572 2571 2571 2571 2571 2570 2570 2570 2570 2569 2569 2569 2568 2568 2568 2568 2567 2567 2567 2566 2567 2566 2565 10.0916308 10.0913725 10.0911142 10.0908560 10.0905978 10.0903397 10.0900815 10.1091974 10.1095997 10.1097021 10.1098046 10.1099071 10.1100097 10.1101123 1023 1024 1025 1025 1026 1026 1027 1028 1028 1029 1029 1030 1031 1031 10; 52 1032 1033 1034 1034 1035 1036 1036 1037 1037 1038 1039 1039 1040 1040 1041 1042 1042 1043 1044 1044 1045 1045 1046 1047 1047 1048 1049 1049 1050 1050 1051 1052 1052 1053 1053 1054 1055 1055 1056 1057 1057 1058 1058 1060 1059 9.8905026 9.8904003 9.8902979 9;8901954 9.8900929 9.8899903 9.8898877 60 59 58 57 56 55 54 7 8 9 10 11 12 9.7999616 9.8001169 9.8002721 9.8004272 9.8005823 9.8007372 10.2000384 10.1998831 10.1997279 10.1995728 10.1994177 10.1992628 9.9101766 9.9104347 9.9106 ( J27 9.9109507 9.9112087 9.9114666 9.9117245 9.9119824 9.9123403 9.9124981 9.1)127559 9.9130137 10.0898234 10.0895653 10.0893073 10.0890193 10.088791:5 10.0885334 10.1102150 10.1103178 10.1104206 10.1105235 10.1106264 10.1107294 10.110832~5 10.1109356 10.1110388 10.1111420 10,1112453 10.1113487 9.8897850 9.8896822 9.8895794 9.8894765 9.8893736 9.8892706 53 52 51 50 49 48 47 46 45 44 43 42 13 14 15 IG 17 18 9.8008921 9.8010468 9.8012015 9.8013561 9.8015106 9.8016649 10.1991079 10.1989532 10.1987985 10.19MI39 10.1984894 10.1983351 10.0882755 10.0880176 10.0877597 10.0875019 10.0872441 10.0869863 9.8891675 9.8890644 9.8889612 9.8888580 9.8887547 9.8886513 19 20 21 22 23 24 9.8018192 9.8019735 9.8021276 9.8022816 9.8024355 9.8025894 10.1981808 10.1 98021 i5 10.1978724 10.1977184 10.1975645 10.1974106 9.9132714 9.9135291 9.9137868 9.9140444 9.9144)020 9.9145596 10.0867286 10.0864709 10.0862132 10.0859556 10.0856980 10.0854404 10.1114521 10:1115556 10:1116592 10.1117628 10.1118665 10.1119702 10.1120740 10.1121779 10.1122818 10.1123858 10.1124898 10.1125939 9.8885479 9.8884444 9.8883408 9.8882372 9.8881335 9.8880298 41 40 39 38 37 36 25 26 27 28 29 30 9.8027431 9.8028968 9.8030504 9.8032038 9.8033572 9.8035105 10.1972569 10.1971032 10.1969496 10:1 967962 10.1966428 10.1964895 9.9148171 9.9150747 9.9153322 9.9155896 9.9158471 9.9161045 10.0851829 10.0849253 10.0846678 10.0844104 10.0841529 10.0838955 9.8879260 9.8878221 9.8877182 9.8876142 9.8875102 9.8874061 35 34 33 32 31 30 31 32 33 34 35 36 9.8036637 9.8038168 9.8039699 9.8041228 9.8042757 9.8044284 10.1963363 10.1961832 10.1960301 10.1958772 10.1957243 10.1955716 9.9163618 9.9166192 9.9168765 9.9171338 9.9173911 9.9176483 10,0836382 10.0833808 10.0831235 10.0828662 10.0826089 10.0823517 10.1126981 10.1128023 10.1129066 10.1130110 10.1131154. 10.1132199 9.8873019 9.8871977 9.8870934 9.8869890 9.8868846 9.8867801 29 28 27 26 25 24 37 38 39 40 41 42 9.8045811 9.8047336 9. 8018861 9.8050385 9.8051908 9.8053430 10.1954189 10.1952664 10.1951139 10.1949615 10.1948092 10.1946570 9.9179055 9.9181627 9.9184198 9.9186769 9.9189340 9.9191911 10.0820945 10.0818373 10.0815802 10.0813231 10.0810660 10.0808089 10.1133244 10.1134290 10.1135337 10.1136384 10.1137432 10.1138181 9.8866756 9.8865710 9.8864663 9.8863616 9.8862568 9.8861519 23 22 21 20 19 18 43 4t 45 46 47 48 9.8054951 9.8056-1 .72 9.8057991 9.8059510 9.H06WJ7 9.806'2514 10.1945019 10.1943528 10.1942009 10.1940490 10.1938973 10.1937456 9.9194481 9.9197051 9.9199621 9.9202191 9.9204760 9.9207329 10.0805519 10.0802949 10.0800379 10.0797809 10.0795240 10.0792671 10.1139530 10.1140580 10.1141630 10.1142681 10.1143733 10.1144785 9.8860470 9.8859420 9.8858370 9.8857319 9.8856267 9.8855215 17 16 15 14 13 12 49 50 51 52 53 54 9.8064060 9.8065575 9.8067089 9.8fl68hO i 2 !>.?5070114 9.8071626 10.1935940 10.193412.5 10.19.52!)! 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Dif. Secant. Co-tan 2. Dif. Tangent. Co-sera nt. Dif. Sine. / 13O 49 LOGARITHMIC SINES, &c. 41 138 / Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. Secant. Dif. Co-sine. / 1 2 3 4 5 6 9.8169429 9.8170882 9.8172334 9.8173785 9.8175235 9. "8 176685 9.8178133 1453 1452 1451 1450 1450 1448 1448 1447 1446 1445 1445 1443 1443 1442 1441 1440 1439 1438 1438 1437 1436 1435 1434 1433 1433 1431 1431 1430 1429 1429 1427 1427 1426 1425 1424 1423 1423 1421 1421 1420 1411) 1419 1417 1417 1416 1415 1414 1413 1413 1411 1411 1410 1409 1409 1407 1407 1406 1405 1404 1404 10.1830571 10.1829118 10.1827666 10.1826215 10.1824765 10.1823315 10.1821867 9.9391631 9.9394182 9.9396733 9.9399284 9.9401835 9.9404385 9.9406936 2551 2551 2551 2551 2550 2551 2550 2550 2549 2550 2549 2549 2549 2549 2548 2549 2548 2548 2548 2547 2547 2548 2547 2546 2547 2546 2547 2546 2546 2545 2546 2545 2545 2545 2545 2545 2544 2544 2544 2544 2541 2544 2543 2543 2543 2543 2543 2542 2543 2542 2542 2542 2542 2541 2542 2541 2541 2541 2511 2540 10.0608369 10.0605818 10.0603267 10.0600716 10.0598165 10.0595615 10.0593064 10.1222201 10.1223300 10.1224399 10.1225499 10.1226599 10.1227700 10.1228802 1099 1099 1100 1100 1101 1102 1102 1103 1104 1104 1105 1106 1106 1107 1108 1108 1109 1109 1111 1110 1112 1112 1113 1113 1114 1115 1115 1117 1116 1118 1118 1118 1120 1120 1120 1121 1122 1123 1123 1124 1125 1125 1126 1127 1127 1128 1128 1129 1130 1131 1131 1132 1132 1133 1134 1135 1135 1136 1136 1137 9.8777799 9.8776700 9.8775601 9.8774501 9.8773401 9.8772300 9.8771198 60 59 58 57 56 55 54 7 8 9 10 11 12 9.8179581 9.8181028 9.8182474 9.8183919 9.8185364 9.8186807 10.1820419 10.1818972 10.1817526 10.1816081 10.1814636 10.1813193 9.9409486 9.9412036 9.9414585 9.9417135 9.9419684 9.9422233 10.0590514 10.0587964 10.0585415 10.0582865 10.0580316 10.0577767 10.1229904 10.1231007 10.1232111 10.1233215 10.1234320 10.1235426 9.8770096 9.8768993 9.8767889 9.8766785 9.8765680 9.8764574 53 52 51 50 49 48 13 14 15 16 17 18 9.8188250 9.8189692 9.8191133 9.8192573 9.8194012 9.8195450 10.1811750 10.1810308 10.1808867 10.1807427 10.1805988 10.1804550 9.9424782 9.9427331 9.9429879 9.9432428 9.9434976 9.9437524 10.0575218 10.0572669 10.0570121 10.0567572 10.0565024 10.0562476 10.1236532 10.1237639 10.1238747 10.1239855 10.1240964 10.1242073 9.8763468 9.8762361 9.8761253 9.8760145 9.8759036 9.8757927 47 46 45 44 43 42 19 20 21 22 23 24 25 26 27 28 29 30 9.8196888 9.8198325 9.8199761 9.8201196 9.8202630 9.8201063 10.1803112 10.1801675 10.1800239 10.1798804 10.1797370 10.1795937 10.1794504 10.1793073 10.1791642 10.1790212 10.1788783 10.1787354 9.9440072 9.9442619 9.9445166 9.9447714 9.9450261 9.9452807 10.0559928 10.0557381 10.0554834 10.0552286 10.0549739 10.0547193 10.1243184 10.1244.294 10.1245406 10.1246518 10.1247631 10.1248744 9.8756816 9.8755706 9.8754594 9.8753482 9.8752369 9.8751256 41 40 39 38 37 36 35 34 33 32 31 30 9.8205496 9.8206927 9.8208358 9.8209788 9.8211217 9.8212646 9.9455354 9.9457900 9.9460447 9.9462993 9.9465539 9.9468084 10.0544646 10.0542100 10.0539553 10.0537007 10.0534461 10.0531916 10.1249858 10.1250973 10.1252088 10.1253205 10.1254321 10.1255439 9.8750142 9.8749027 9.8747912 9.8746795 9,8745679 9.8744561 31 32 33 34 35 36 9.8214073 9.8215500 9.8216926 9.8218351 9.8219775 9.8221198 10.1785927 10.1784500 10.1783074 10.1781649 10.1780225 10.1778802 9.9470630 9.9473175 9.9475720 9.9478265 9.9480810 9.9483355 10.0529370 10.0526825 10.0524280 10.0521735 10.0519190 10.0516645 10.1256557 10.1257675 10.1258795 10.1259915 10.1261035 10.1262156 9.8743443 9.8742325 9.8741205 9.8740085 9.8738965 9.8737844 29 28 27 26 25 24 37 38 39 40 .41 42 9.8222621 9.8224012 9.8225 163 9.8226883 9.8228302 9.8229721 10.1777379 10.1775958 10.1774537 10.1773117 10.1771698 10.1770279 9.9485899 9.9488443 9.9490987 9.9493531 9.9496075 9.9498619 10.0514101 10.0511557 10.0509013 10.0506469 10.0503925 10.0501381 10.1263278 10.1264401 10.1265524 10.1266648 10.1267773 10.1268898 9.8736722 9.8735599 9.8731476 9.8733352 9.8732227 9.8731102 23 22 21 20 19 18 43 44 45 46 47 48 9.8231138 9.8232555 9.8233971 9.8235386 9.8236800 9.8238213 10.1768862 10.17674-15 10.1766029 10.1764614 10.1763200 10.1761787 9.9501162 9.9503705 9.9.506248 9.9508791 9.9511334 9.9513876 10.0498838 10.0496295 10.0493752 10.0491209 10.0488666 10.0486124 10.1270024 10.1271151 10.1272278 10.1273406 10.1274534 10.12.75663 9.8729976 9.8728849 9.8727722 9.8726594 9.8725466 9.8724337 17 16 15 14 13 12 49 50 51 52 53 51 9.8239626 9.8241037 9.8242448 9.8243858 9.8245267 9.8245676 10.1760374 10.1758963 10.1757552 10.1756142 10.1751733 10.1753324 9.9516419 9.9518961 9.9521503 9.9524045 9.9526587 9.9529128 10.0483581 10.0481039 10.0478497 10.0475955 10.0473413 10.0470872 10.1276793 10.1277924 10.1279055 10.1280187 10.1281319 10.1282452 9.8723207 9.8722076 9.8720945 9.8719813 9.8718681 9.8717518 11 10 9 8 7 6 55 56 57 58 59 60 9.8248083 9.8249490 9.82.50896 9.8252301 9.8253705 9.8255109 10.1751917 10.1750510 10.1749101 10.1747699 10.174r,2). r ) 10.1744891 9.9531670 9.9534211 9.9536752 9.9539293 9.9541834 9.9544374 10.0468330 10.0465789 10.0463248 10.0460707 10.0458166 10.0455626 10.1283586 10.1284721 10.1285856 10.1286992 10.1288128 10.1289265 Co-secant. 9.8716414 9.8715279 9.8714144 9.8713008 9.8711872 9.8710735 5 4 3 2 I / Co-sine. Dif. Secant. Co-tang. Dif. Tangent. Dif. Sine. / 131 48 LOGARITHMIC SINES, &c. 42 137 / Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. Secant. Dif. Co-sine. / 3 4 5 G 9.8255109 9.8256512 9.8257913 9.8259314 9.8260715 9,8262114 9.8263512 1403 1401 1401 1401 1399 1398 1398 1397 1396 1395 1395 1394 1392 1392 1392 1390 1390 1388 1388 1.387 1387 1385 1385 1384 1383 1382 1382 138] 1379 1379 1379 1377 1377 1376 1375 1374 1373 1373 1372 1371 1370 1370 1368 1368 1367 1366 1366 1'364 1364 1363 1363 1361 1361 1360 1359 1358 1358 1356 1356 1355 10.1744891 10.1743188 10.1742087 10.1740686 10.1739285 10.1737836 10.1736488 9.9544374 9.954(5915 9.9549455 9.9551995 9.9554535 9.9557U75 9'.955il(il5 2541 2540 2540 2540 2540 2540 2539 2540 2539 2539 2539 2539 2539 2538 2538 2539 2538 2538 2538 2537 2538 2537 2537 2538 2537 2536 2537 2537 2536 2537 2536 2536 2536 2536 2535 2536 2535 2536 2535 2535 2535 2535 2535 253 1 2535 2534 2534 2534 2535 253:3 2534 2534 2534 2533 2533 2534 2533 2533 2533 2533 10.0455626 10.0453085 10.0450545 10.0448005 10.04/15465 10.0412925 10.0440385 10.1289265 10.1290403 10.1291542 10.1292681 10.1293821 10.1294961 10.1296102 10.1297244 10.1298387 10.1299530 10.1300674 10.1301818 10.1302963 1138 1139 1139 1140 1140 1141 1142 1143 1143 1144 1144 1145 1146 1147 1147 1148 1148 1149 1150 1151 1151 1152 1152 1154 1154 1154 1155 1156 1157 1157 1158 1159 1159 1160 1161 1161 1162 1163 1163 1164 1165 1165 1166 1167 1168 1168 1169 1169 1170 1171 1172 1172 1173 1173 1175 1175 1175 1177 1177 1177 9.8710735 9.8709597 9.8708458 9.8707319 9.8706179 9.8705039 9.8703898 60 59 58 57 56 55 54 7 8 9 10 11 12 9.8264910 9.8266307 9.8267703 9.8269098 9.8270493 9.8271887 10.1735090 10.1733693 10.1732297 10.1730902 10.1729507 10.1728113 10.1726721 10.1725329 10.1723937 10.1722547 10.1721157 10.1719769 9.9562151, 9.9564-694 9.9567233 9.9569772 9.9572311 9.9574850 10.0437846 10.0435306 10.0432767 10.0430228 10.0427689 10.0425150 9.8702756 9.8701613 9.8700470 9.8699326 9.8698182 9.8697037 53 52 51 50 49 48 13 14 15 16 17 13 9.8273279 9.8274671 9.8276063 9.8277453 9.8278843 9.8280231 9.9577389 9.9579927 9. 9582465 9.9585004 9.9587542 9.9590080 10.0422611 10.0420073 10.0417535 10.0414996 10.0412458 10.0409920 10.1304109 10.1305256 10.1306403 10.1307551 10.1308699 10.1309848 9.8695891 9.8694744 9.8693597 9.8692449 9.8691301 9.8690152 47 46 45 44 43 42 19 20 21 22 23 24 9.8281619 9.8283006 9.8284393 9.8285778 9.8287163 9.8288547 10.1718381 10.1716994 10.1715607 10.1714222 10.1712837 10.1711453 9.9592618 9,9595155 9,9597693 9.9600230 9.9602767 9.9605305 10.0407382 10.0404845 10.0402307 10.0399770 10.0397233 10.0394695 10.1310998 10.1312149 10.1313300 10.1314452 10.1315604 10.1316758 9.8689002 9.8687851 9.8686700 9.8685548 9.8684396 9.8683242 41 40 39 38 37 36 25 26 27 28 29 30 9.8289930 9.8291312 9.8292694 9.8294075 9.8:295454 9.8296833 10.1710070 10.1708688 10.1707306 10.1705925 10.1704546 10.1703167 9.9607842 9.9610378 9.9612915 o.wirji.w 9.9617988 9.9620525 10.0392158 10.0389622 10.0387085 10.0384548 10.0382012 10.0379475 10.1317912 10.1319066 10.1320221 10.1321377 10.1322534 10.1323691 9.8682088 9.8680934 9.8679779 9.8678623 9.8677466 9.8676301) 35 34 33 32 31 30 31 32 33 34 35 36 9.8298212 9.8299589 9.8300966 9.8302342 9.8303717 9.8305091 10.1701788 104700411 10.1699031. 10.1697658 10.1696283 10.1694909 9.9623061 9.9625597 9.9628133 9.9630669 9.9633204 9.9635740 10.0376939 10.0374403 10.0371867 10.0369331 10.0366796 10.0364260 10.1324849 10.1326008 10.1327167 10.1328327 10.1329488 10.1330649 9.8675151 9.8673992 9.8672833 9.8671673 9.8670512 9.8669351 29 28 27 26 25 24 37 38 39 40 41 42 9.8306464 9.8307837 9.8309->09 9.8310580 9.8311950 9.8313320 10.1693536 10.1692163 10.1690791 10.1689420 10.1688050 10.1686680 9.9638275 9.9640811 9.9643346 9.9645881 y.'1648-lliJ 9.9650951 10.0361725 10.0359189 10.0356654 10.0354119 10.0351584 10.0349049 10.1331811 10.1332974 10.1334137 10.1335301 10.1336466 10.1337631 9.8668189 9.8667026 9.8665S63 9.8664699 9,8663534 9.8662369 23 22 21 20 19 18 43 44 45 46 47 48 9.8314688 9.8316056 9.8317423 9.0318789 9.8320155 9.8321519 10.1685312 10.1683944 10.1(iPy2577 10.1681211 Id. 1679845 10.167C181 9. 9053! 86 9.9656020 9.9658555 9.%61089 9.9663G23 9,9666157 10.0346514 10.0343980 10.0311415 10.0338911 10,0336377 10.0333813 10.1338797 10.1339964 10.1341132 10.1342300 10.1343169 10.1344638 9.8661203 9.8660036 9.8658868 9.8657700 9.8656531 9.8655362 17 16 15 14 13 12 49 50 51 52 53 54 9.8322883 9.8324246 9.8325609 9.8326970 9.8328331 918329691 10.1677117 10.1675754 10.1674391 10.16730.30 10.1671669 10.1670309 9.9608W2 9'.9671225 9.9673759 9.9676293 9.9678827 9.9681360 10.0331308 10.03x^8775 10.0326241 10.0323707 10.0321173 1 0.031 8640 10.1345808 10.1346979 10.1348151 10.1349323 10.1350496 10.1351669 9.8654192 9.8653021 9.8651849 9.8650677 9.8649504 9.864S331 11 10 9 8 7 6 55 56 57 58 1 59 : eo 9.8331050 9.833'2W8 9.8333766 9.8335122 9.8336478 9.8337833 10.1668950 10.1667592 10,1666234 10.1 664 87H 10, 1663522 10.1662167 Secant. 9.9683893 9.9686427 9.9688960 9.9691493 9.9694026 9.9696559 10.0316107 10.0313573 10.0311040 10.0303507 10.0305974 10.0303441 10.1352814 10,1354019 10.1355194 10.1356371 10.1357548 10.1358725 9.8647156 9.8645981 9.8644806 9.8643629 9.8642452 9.8641275 5 4 3 2 / Co-sine. Dif. Co-tang. Dif. Tangent. Co-secant. Dif. Sine. / 132 47 LOGARITHMIC SINES, &c. 43 136 / Sine. Dif. Co-secant. Tangent. Dif. Co-tangent. Secant. Dif. Co-sine. / 1 2 3 4 5 6 9.8337833 9.8339 188 9.8340541 9.8311894 9.834324fi 9.8344597 9.8345948 1355 1353 1353 1352 1351 1351 1349 1349 1348 1347 1347 1345 1345 1344 1344 1342 1342 1341 1340 1340 1338 1338 1337 1337 1335 1335 1334 1333 1332 1332 1331 1330 1329 1329 1328 1327 1326 1325 1325 1324 1323 1322 1322 1321 1320 1319 1319 1317 1317 1317 1315 1315 1314 1313 1312 1312 1311 1310 1309 1309 10.1662167 10.1660812 10.1659 -159 10.1658106 10.16*;754 10.1 6554 O'J 10.165MJ,"y2 9.9696559 9.9699091 9.9701(524 9.9701157 9.9706689 9.9709'2 1 21 9.9711754 2532 2533 2533 2532 2532 2533 2532 2532 2532 2532 2531 2532 2532 2531 2531 2532 2531 2531 2531 2531 2531 2531 2530 2531 2531 2530 2530 2531 2530 2530 2530 2530 2530 2530 2529 2530 2530 2529 2530 2529 2529 2530 2529 2529 2529 2529 2529 2529 2529 2528 2529 iJ5 l 29 2528 2529 2528 2529 2528 2528 2529 2528 io.03o; vi- n 10.0300909 10.0298376 10.0295813 10.0293311 10.0290779 10.0288246 10.1358725 10.1359904 10.1361083 10.1362263 10.1363443 10.1364624 10.1365806 1179 1179 1180 1180 1181 1182 1183 1183 1184 1184 1186 1186 1186 1188 1188 1188 1190 1190 1191 1191 1193 1193 1193 1194 1195 1196 1197 1197 1197 1199 1199 1200 1201 1201 1202 1203 1203 1204 1205 1205 1206 1207 1208 1208 1209 1210 1210 1212 1211 1213 1213 1214 1215 1215 1216 1217 1217 1*219 1218 1220 9.8641275 9.8640096 9.8638917 9.8637737 9.8636557 9.8635376 9.8634194 60 59 58 57 56 55 54 7 8 9 10 11 12 9.8347297 9.8348646 9.8349994 9.8351341 9.8352688 9.8354033 10.1652703 10.1651354 10.1650006 10.1648659 10.1647312 10.1645967 9.9714286 9.9716818 9.9719350 9.9721882 9.9724413 9.9726945 10.0285714 10.0283182 10.0280650 10.0278118 10.0275587 10.0273055 10.1366989 10.1368172 10.1369356 10.1370540 10.1371726 10.1372912 9.8633011 9.8631828 9.8630644 9.8629460 9.8628274 9.8627088 53 52 51 50 49 48 13 14 15 16 17 18 9.8355378 9.8356722 9.8358066 9.8359408 9.8360750 9.8362091 10.1644622 10.1643278 10.1641931- 10.1640592 10.1639250 10.1637909 9.9729477 9.9732008 9.9734539 9.9737071 9.9739602 9.9742133 10.0270523 10.0267992 10.0265461 10.0262929 10.0260398 10.0257867 10.1374098 10.1375286 10.1376474 10.1377662 10.1378852 10.1380042 9.8625902 9.8624714 9.8623526 9.8622338 9.8621148 9.8619958 47 46 45 44 43 42 19 20 21 22 23 24 9.8363431 9.8364771 9.8366109 9.8367447 9.8368784 9.8370121 10.1636569 10.1635229 10.1633891 10.1632553 10.1631216 10.1629879 9.9744664 9.9747195 9.9749726 9.9752257 9.9754787 9.9757318 10.0255336 10.0252805 10.0250274 10.0247743 10.0245213 10.0242682 10.1381233 10.1382424 10.1383617 10.1384810 10.1386003 10.1387197 9.8618767 9.8617576 9.8616383 9.8615190 9.8613997 9.8612803 41 40 39 38 37 36 25 26 27 28 29 30 9.8371456 9.8372791 9.8374125 9.8375458 9.8376790 9.8378122 10.1628544 10.1627209 10.1625875 10.1624542 10.1623210 10.1621878 9.9759819 9.9762379 9.97(5 1909 9.9767440 9.9769970 9.9772500 10.0240151 10.0237621 10.0235091 10.0232560 10.0230030 10.0227500 10.1388392 10.1389588 10.1390785 10.1391982 10.1393179 10.1394378 9.8611608 9.8610412 9.8609215 9.8608018 9.8606821 9.8605622 35 34 33 32 31 30 31 32 33 34 35 36 9.8379453 9.8380783 9.8382112 9.8383441 9.8384769 9.8386096 10.1620547 10.1619217 10.1617888 10.1616559 10,1615231 10.1613904 9.9775030 9.9777560 9.9780090 9.9782620 9.9785149 9.9787679 10.0224970 10.0222440 10.0219910 10.0217380 10.0214851 10.0212321 10.1395577 10.1396777 10.1397978 10.1399179 10.1400381 10.1401584 9.8604423 9.8603223 9.8602022 9.8600821 9.8599619 9.8598416 29 28 27 26 25 24 37 38 39 40 41 42 9.8387422 9.8388747 9.8390072 9.8391396 9.8392719 9.8394041 10.1612578 10.1611253 10.1609928 10.1608604 10.1607281 10.1605959 9.9790209 9.9792738 9.9795268 9.9797797 9.9800326 9.9802856 10.0209791 10.0207262 10.0204732 10.0202203 10.0199674 10.0197144 10.1402787 10.1403991 10.1405196 10.1406401 10.1407607 10.1408814 9.8597213 9.8596009 9.8594804 9.8593599 9.8592393 9.8591186 23 22 21 20 19 18 43 44 45 46 47 48 9.8395363 9.8396684 9.8398004 9.8399323 9.8400642 9.0101959 9.8-103276 9.8404593 9.8405906 9.8407223 9.8'W8537 9.8409850 10.1604637 10.1603316 10.1601996 10.1600677 10.1599358 10.1598041 9.9805385 9.9807914 9.91:101 1 A 9.9812972 9.9815501 9.9818030 10.0194615 10.0192086 10.0189557 10.0187028 10.0181499 10.0181970 10.1410022 10.1411230 10.1412439 10.1113649 10.1414859 10.1416071 9.8589978 9.8588770 9.8587561 9.8586351 9.8585141 9.8583929 17 16 15 14 13 12 49 50 51 52 53 54 10.1596721 10.1595407 10.159 1092 10.1592777 10.1591463 10.1590150 9.9820559 9.9823087 9.9825616 9.9828145 9.9830673 9.9833202 9.9835730 9.9838259 9.9810787 9.9843315 9.9845844 9.9!!!837'2 10.0179441 10.0176913 10.01713,'J1 10.0171855 10.0169327 10.0166798 10.1417282 10.1418495 10.1419708 10.1420922 10.1422137 10.1423352 9.8582718 9.8581505 9.8580292 9.8579078 9.8577863 9.8576648 11 10 9 8 7 6 55 56 57 58 59 60 9.8411162 9.8 142471 9.8 H 3785 9.8415095 9.8H6KH 9.8417713 10. 158! HUH 10.]5:n,r2<; 10.1586215 10.1581905 10.1583596 10.1582287 10.0164270 10.0161711 10.0159213 10.0156685 10.0154156 10.0151628 10.1424568 10.1425785 10.1427002 10.1421:221 10.1429439 10.1430659 Co-secant. 9.8575432 9.8574215 9.8572998 9.8571779 9.857Q561 9.8569341 5 4 3 2 1 / Co-sine. Dif. Secant. Co-ting. Dif. Tangent. Dif. Sine. / 133 46 LOGARITHMIC SINES, &c. 44 , 135 / Sine. 9.8ii77]i^ 9.8419021 9.8420321 9.8421634 9.8422931 9.8424244 9.8125518 9.8-1-26851 9. 8 128 1 54 9.8429456 9.8430757 9.8432057 9.8433356 Dif. ( '(i-st'cant. Tangent. Dif. Co -tanjrent. Secant. 10.1430659 10.143187!) 10.1433100 10.1131.522 10.1435515 10.1436768 10.1437992 Dif. Co-sine. 9.856934? 9.8568121 9.8566900 9.8565678 9.8564455 9.8563232 9.8562008 / 60~ 59 58 57 56 55 54 1 2 3 4' 5 G 1308 1307 1306 1305 1305 1304 1303 1303 1302 1301 1300 1299 1299 1298 12! '7 1297 1295 1295 1295 1293 1293 1292 1291 1290 1290 1289 1288 1287 1287 1286 1285 1285 1283 1283 1282 1282 1281 1280 1279 1278 1278 1277 1276 1276 1274 1274 1274 1272 1272 1271 1270 1270 1269 1268 1267 1267 1266 1265 1264 1264 10.1582287 10.158097! 10.1579672 10.1578366 10.1577061 10.1575756 10.1574152 9.984837. 9.9850901 9.985312! 9.9855951 9.9858181 9.9861012 9.986354( 2528 2528 i 2528 2528 2528 25J7 2528 2528 2527 2528 2527 2528 2527 2528 2527 2528 2527 2527 2528 2527 2527 2527 2527 2527 2527 2527 2527 2527 2527 2527 2527 2527 2527 2527 2527 2527 2526 2527 2527 2527 2526 2527 2527 2527 2526 2527 2527 2526 2527 2527 2526 2527 2526 2527 2527 2526 2527 10.0151628 10.0 14!) 100 10.0116572 10.0144044 10.0141516 10.0138988 10.0136460 1220 1221 1222 1223 1223 12.'4 1221 1226 1226 1226 1228 1228 1229 1229 1231 1231 1231 1233 1233 1234 1235 1235 1236 1237 1237 1238 1239 1210 1240 1211 1242 1243 1243 1244 1215 1245 1246 1247 1248 1248 1249 1250 1251 1251 1252 1252 1254 1254 1255 1256 1256 1257 1258 1258 1260 1260 1260 1262 1262 1263 7 8 9 10 11 12 10.1573149 10.15718-16 10.1570544 10.1569243 10.1567943 10.1566644 9.9866068 9.98685! il 9. 987 11 2. 5 9.9873651 9.9876179 9.9878706 10.0133932 10.0131404 10.0128877 10.012631-9 10.0123821 10.0121294 10.1439216 10.1410112 10.14-41668 10.1442894 10.1 41 11 22 10.14-15350 9.856078-4 9.8559558 ! 1.8558332 9.8557106 9.8555878 9.855-46.50 53 52 51 50 49 48 13 14 15 16 17 18 9.8434655 9.8435953 9.8437250 9.8438547 9.8439842 9.8441137 10.1565345 10.156101-7 10.1 5(12750 10.1561453 10.1560158 10.1558863 9.9881231 9.9883761 9.9886289 9.9888816 9.989131 1 9.9893871 10.0118766 10.01 16239 10.0113711 10.0111184 10.0108656 10.0106129 10.0103601 10.0101074 10.009851? 10.009601!) 10.0093192 10.0090965 10.1446579 10.1 11781 ),' ,' 10.14-49039 10.1450270 10.1451501 10.1452734 9.8553421 9.8552192 9.8550961 9.8549730 9.8548499 9.8547266 47 46 45 44 13 42 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 a5 36 9.8142132 9.8443725 9.8145018 9. 8 1-163 10 9.8447601 9.844-8891 10.1557568 10.1556275 10.1554982 10.1553690 10.1552399 10.1551109 9.9896399 9.9898926 9.99014,73 9.9903981 9.9906508 9.9909035 10.1453967 10.1455201 10. 1456 436 10.1457671 10.1458907 10.1460144 9.85*6033 9.8514799 9.8543564 9.8542329 9.8511093 9.8539856 41 40 39 38 37 36 9.8450181 9.8151470 9.84.52758 9.8454045 9.8455332 9.8456618 10.1549819 10.1518530 10.1517242 10.1545955 10.1511668 10.1543382 9.9911562 9.9914089 9.9916616 9.9919143 9.9921670 9.9924197 10.0088138 10.0085911 10.0083384 10.0080857 10.0078330 10.0075803 10.1461381 10.1462619 10.1463858 10.1465098 10.H663.5M 10.1467579 9.8538619 9.8537381 9.8536142 9.8534902 9.8533662 9.8532121 35 34 33 32 31 30 29 28 27 26 25 24 9.8-157903 9.8-1,59188 9.8460471 9.8161754 9.84G3036 9.8464318 10.1542097 10.1510812 10.1539529 10.1538216 10.1536964 10.1535682 9.9926724 9.9929251 9.9931778 9.9934305 9.9936832 9.9939359 10.0073276 10.0070719 10.0068222 10.0065695 10.0063168 10.0060641 10.1468821 10.1470064 10.1471307 10.1472551 10.1473796 10.1475041 9.8531179 9.8529936 9. 85286! 3 9.8527449 9.8526204 9.8524959 37 38 39 40 41 42 9.8465599 9.8 166879 9.8-163158 9.8469436 9.8470714 9.8471991 10.1534401 10.1533121 10.1531842 10.1530564 10.1529286 10.1528009 9.9941886 9.9944413 9.9946940 9.9949166 9.9D51993 9.9954520 10.0058114 10.0055587 10.0053060 10.0050534 10.0048007 10.0045480 10.1476287 10.1477534 10.1478782 10.1480030 10.1481279 10.1482529 9.8523713 9.8522466 9.8521218 9.8519970 9.8518721 9.8517471 23 22 21 20 19 18 43 44 45 46 47 48 9.8473267 9.84-74-5-13 9.8475817 9.8477091 9.8478365 9.8479637 10.1526733 10.1525157 10.1524183 10.1522909 10.. 152 1635 10.1520363 9.99570 17 9.9959573 9.9962100 9.9964627 9.9967154 9.9969680 10.0042953 10.00404-27 10.0037900 10.0035373 10.0032846 10.0030320 10.1483780 10.1485031 10.1486283 10.1487535 10.1488789 10.1490043 9.8516220 9.8514969 9.8513717 9.8512465 9.8511211 9.8509957 17 16 15 14 13 12 49 50 51 52 53 54 9.8480909 9.8482180 9.8183450 9.8 184720 9.8485989 9.8487257 10.1519091 10.1517820 10.15165.30 10.1515280 10.1514011 10.1512743 9.9972207 9.9974734 9.9977260 9.9979787 9.9982.51 1 9.9984840 10.0027793 10.0025266 10.0022740 10.0020213 10.0017686 10.0015160 10.1491298 10.1492554 10.1493810 10.1495067 10.1496325 10.1497583 9.8.508702 9.8507446 9.8506190 9.8504933 9.8503675 9.8502417 11 10 9 8 7 6 55 56 57 58 59 60 9.8488524 9.8489791 9.8491057 9.8492322 9.8493586 9.8494850 10.1511476 10.1510209 10.1508913 10.1507678 10.1506414 10.1505150 9.9987367 9.9939893 9.9992120 9.9991-947 9.9997473 10.0000000 Co-tang. 10.0012633 10.0010107 10.0007580 10.0005053 10.0002527 10.0000000 10.1498843 10.1500103 10.1501363 10.1502625 10.1503887 10.1505150 9.8501157 9.8499897 9.8498637 9.8497375 9.8496113 9.8494850 5 4 3 2 / Co-sine. Dif. Secant. Dif. Tangent. Co-secant. Dif. Sine. i 134 45 NATURAL SINES. 1 2 3 . 4 l / Sine. Co-sine. Sine. , Sine. Co-sine. Sine. Co-sine. Sine. 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M<) 996(5(512 99(5(5371 23 22 21 20 19 18 43 44 15 46 47 48 )1 25079 )127987 H 30896 0133805 0136713 5139622 9999218 9999181 9999143 9999105 99991 165 9999025 0299570 )302478 0305385 0308293 0311200 0314108 9995512 9995424 9995336 999524-7 9995157 9995066 ) 173970 ) 176! 176 1479781 1482687 1485592 0188198 99!i!!!761 1988623 i!):;, 1 ! 181- 1988344 1988203 9988061 0648226 0651129 065 1031 0656934 0659836 0662739 997!'-968 997877!) 997!!5!:9 9987B31 9987486 9987340 9987194 06656 11 0668544 167 M 16 )674349 )677251 0680153 0839(577 )842576 3845474 3848373 0851271 0854169 9964685 996 IMO 996 J 195 996391!! 9963701 9963453 11 10 9 8 7 6 55 56 57 58 59 60 0159982 0162890 0165799 0168707 0171616 0174524 0334-459 0337366 0340274 0343181 0346088 0348995 99!) 1 105 9994308 9994209 999! 110 9994009 9993908 0508835 0511740 0514Q45 0517550 0520455 0523360 9987046 9986898 9986748 9986598 1986447 9986295 0683055 0685957 0688859 0691761 0694663 0697565 99766-15 9976445 9976215 9976045 1975843 9975641 0857067 0859966 0862864 0865762 0868660 0871557 9963204 9962954 9962704 1962452 99(52200 9961947 5 4 3 2 / Co-sine. Sine. Co-sine. Sine. Co-sine. Sine. Co-sine. Sine. Co-sine. Sine. / 89 < 88 87 86 86 NATURAL SINES. ^ 6 6 7 8 9 / Sine. Co-sine. Sine. Co-sine. Sine. Co-sine. Sine. Co-sine. Sine. Co-sine, / 1 2 3 4 5 6 0871557 0874455 0877353 0880251 0883148 0886046 0888943 9961947 9961693 9961438 9961183 9960926 9960669 9960411 1045285 1048178 1051070 1053963 1056856 1059748 1062641 9945219 9944914 9944609 9944503 9943996 9943688 9943379 9943070 9942760 9942448 9942136 9941823 9941510 1218693 1221581 1224468 1227355 1230241 1233128 1236015 9925462 9925107 9924751 9924394 9924037 9923679 9923319 1391731 1394612 1397492 1400372 1403252 1406132 1409012 9902681 9902275 9901869 9901462 9901055 9900646 9900237 1564345 1567218 1570091 1572963 1575836 1578708 1581581 9876883 9876428 9875972 9875514 9875057 9874598 9874138 60 59 58 57 56 55 54 7 8 9 10 11 12 0891840 0894738 0897635 0900532 0903429 0906326 9960152 9959892 9959631 9959370 9959107 9958844 1065533 1068425 1071318 1074210 1077102 1079994 1238901 1241788 1244674 1247560 1250446 1253332 9922959 9922599 9922237 9921874 9921511 9921147 1411892 1414772 1417651 1420531 1423410 1426289 9899826 9899415 9899003 9898590 9898177 9897762 1584453 1587325 1590197 1593069 1595940 1598812 9873678 9873216 9872754 9872291 9871827 9871363 53 52 51 50 49 48 13 14 15 16 17 18 0909223 0912119 0915016 0917913 0920809 0923706 9958580 9958315 9958049 9957783 9957515 9957247 1082885 1085777 1088669 1091560 1094452 1097343 9941195 9940880 9940563 9940246 9939928 9939610 1256218 1259104 1261990 1264875 1267761 1270646 9920782 9920416 9920049 9919682 9919314 99189-14 1429168 1432047 1434926 1437805 1440684 1443562 9897347 9896931 9896514 9896096 9895677 9895258 1601683 1604555 1607426 1610297 1613167 1616038 9870897 9870431 9869964 9869496 9869027 9868557 47 46 45 44 43 42 19 20 21 22 23 24 0926602 0929499 0932395 0935291 0938187 0941083 9956978 9956708 9956437 9956165 9955893 9955620 1100234 1103126 1106017 1108908 1111799 1114689 9939290 9938969 9938648 9933326 9938003 9937679 1273531 1276416 1279302 1282186 1285071 1287956 9918574 9918204 9917832 9917459 9917086 9916712 1446440 1449319 1452197 1455075 1457953 1460830 9894838 9894416 9893994 9893572 9893148 9892723 1618909 1621779 1624650 1627520 1630390 1633260 9868087 9867615 9867143 9866670 9866196 9865722 41 40 39 38 37 36 25 26 27 28 29 30 0943979 0946875 0949771 0952666 0955562 0958458 9955345 9955070 9954795 9954518 9954240 9953962 1117580 1120471 1123361 1126252 1129142 1132032 9937355 9937029 9936703 9936375 9936047 9935719 1290841 1293725 1296609 1299494 1302378 1305262 9916337 9915961 9915584 9915206 9914828 9914449 1463708 1466585 1469463 1472340 1475217 1478094 9892298 9891872 9891445 9891017 9890588 9890159 1636129 1638999 1641868 1644738 1647607 1650476 9865246 9864770 9864293 9863815 9863336 9862856 35 34 33 32 31 30 31 32 33 34 35 36 0961353 0964248 0967144 0970039 0972934 0975829 0978724 0981619 0984514 0987408 0990303 0993197 9953683 9953403 9953122 9952840 9952557 9952274 1134922 1137812 1140702 1143592 1146482 1149372 9935389 9935058 993-4727 9934395 9934062 9933728 1308116 1311030 1313913 1316797 1319681 1322564 9914069 9913688 9913306 9912923 9912540 9912155 9911770 9911384 9910997 9910610 9910221 9909832 1480971 1483848 148(5724 1489601 1492477 1495353 9889728 9889297 9888865 9888432 9887998 9887564 1653345 1656214 1659082 1661951 1664-819 1667687 9862375 9861894 9861412 9860929 9860445 9859960 29 28 27 26 25 24 37 38 39 40 41 42 9951990 9951705 9951419 9951132 9950844 9950556 1152261 1155151 1158040 1160929 1163818 1 166707 9933393 9933057 9932721 9932384 9932045 9931706 1325447 1328330 1331213 1334096 1336979 1339862 1498230 1501106 1503981 1506857 1509733 1512608 9887128 9886692 9886255 9885817 9885378 9884939 1670556 1673423 1676291 1679159 1682026 1684894 9859475 9858988 9858501 9858013 9857524 9857035 23 22 21 20 19 18 43 44 45 46 47 48 0996092 0998986 1001881 1004775 1007669 1010563 9950266 9919976 9! 149 685 9949393 9949101 9948807 1169596 1172485 1175374 1 178263 1181151 1184040 9931367 9931026 9930685 9930342 9929999 9929655 1342744 1345627 1348509 1351392 1354274 1357156 9909442 9909051 9908659 99082(56 9907873 9907478 1515484 1518359 1521234 1524109 1526984 1529858 9884498 9884057 9883615 9883172 9882728 9882284 1687761 1690628 1693495 1696362 1699228 1702095 9856544 9856053 9855561 9855068 9854574 9854079 17 16 15 14 13 12 49 50 51 52 53 54 1013457 1016351 10192-15 1022138 1025032 1027925 9948513 9948217 9947921 9947625 9947.327 9947028 1186928 1189816 1192704 1195593 1198481 1201368 9929310 9928965 9928618 9928271 9927922 9927573 1360038 1362919 1365801 1368683 1371564 1374445 9907083 9906687 9906290 9905893 9905491 9905095 1532733 1535607 1538482 15-1-1356 1544230 1547104 9881838 9881392 9880945 9880497 9880048 9879599 1704961 1707828 1710694 1713560 1716425 1719291 9853583 9853087 9852590 9852092 9851593 9851093 11 10 9 8 7 6 55 56 57 58 59 60 1030819 1033712 1036605 1039499 1042392 1045285 9946729 9946428 9946127 9945825 9945523 9945219 1204.256 1207144 1210031 1212919 1215806 1218693 9927224 9926873 9926521 9926169 9925816 9925462 1377327 1380208 1383089 1385970 1388850 1391731 9904694 9904293 9903891 9903489 9903085 9902681 1549978 1552851 1555725 1558598 1561472 1564345 9879148 9878697 9878245 9877792 9877338 9876883 1722156 1725022 1727887 1730752 1733617 1736482 9850593 9850091 9849589 9849086 9848582 9848078 5 4 3 2 1 / / Co-sine. Sine. Co-sine. Sine. Co-sine. Sine. Co-sine. Sine. Co-sine. Sine. 84 83 82 81 80 NATURAL SINES. 10 11 12 13 14 I / Sine. Co-sine Bifte. Co-sine. Sine. Co-sine. Sine. Co-sine. Sine. Co-sine. 1 9 3 4 5 6 7 8 9 10 11 12 1736482 1739346 1742211 1745075 1747939 1750803 1753667 9848078 9847572 981-7066 9846558 9846050 9845542 9845032 1908090 1910945 1913801 1916656 1919510 1922365 1925220 9816272 9815716 9815160 9814603 9814045 9813486 9812927 2079117 2081962 2084807 2087652 2090497 2093341 2096186 9781476 9780871 9780265 9779658 9779050 9778442 9777832 2249511 2252345 2255179 2258013 2260846 2263680 22(56513 9743701 9743046 9742390 9741734 9741077 9740419 9739760 2419219 2422041 2424863 2427685 2430507 2433329 2436150 9702957 9702253 9701545 9700842 9700136 9699428 9698720 60 59 58 57 56 55 54 1756531 1759395 1762258 1765121 1767984 1770847 9844521 9844010 9843498 9842985 9842471 9841956 1928074 1930928 1933782 1936636 1939190 1942344 9812366 9811805 9811245 9810680 9810116 9809552 2099030 2101874 2104718 2107561 2110405 2113248 9777222 9776611 9775999 9775387 9774773 9774159 2269346 2272179 2275012 2277844 228p677 2283509 9739100 9738439 9737778 9737116 9736453 9735789 2438971 2441792 2444613 2447433 2450254 2453074 9698011 9697301 9696691 9696879 9695167 9694453 53 52 51 50 49 48 13 14 15 16 17 18 1773710 1776573 1779435 1782298 1785160 1788022 9841441 9840924 9840407 9839889 9839370 9838850 1945197 194-8050 1950903 1953756 1956609 1959161 9808986 9808420 9807853 9807285 9806716 9806147 2116091 2118934 2121777 2124619 2127462 2130304 9773544 9772928 9772311 9771693 9771075 9770456 2286341 2289172 2292004 2294835 2297666 2300497 9735124 9731459 9733793 9733125 97324-58 9731789 2455894 2458713 2461533 2464362 2467171 2469990 9693740 9693025 9692309 9691593 9690875 9690157 47 46 45 44 43 42 19 20 21 22 23 24 1790884 1793746 1796607 1799469 1802330 1805191 9838330 9837808 9837286 9836763 9836239 9835715 1962314 1965166 1968018 1970870 1973722 1976573 9805576 9805005 9804433 9803860 9803286 9802712 2133146 2135988 2138829 2141671 2144512 2147353 9769836 9769215 9768593 9767970 9767347 9766723 2303328 2306159 2308989 2311819 2314649 2317479 9731119 9730449 9729777 9729105 9728432 9727759 2472809 2475627 2478445 2481263 2454081 2486899 9689138 9688719 9687998 9687277 9686555 9685832 41 40 39 38 37 36 25 26 27 28 29 30 1808052 1810913 1813774 1816635 1819495 1822355 9835189 9834663 9834136 9833608 9833079 9832519 1979425 1982276 1985127 1987978 990829 993679 1996530 1999380 2002230 2005080 2007930 2010779 9802136 98016.60 9800983 9800405 r79982-7 9799247 2150194 2153035 2155876 2158716 -2161556 2164396 9766098 9765472 9764845 9764218 9763589 9762960 2320309 2323138 2325967 2328796 2331625 2334454 9727084 9726409 9725733 9725056 9724378 9723699 2489716 2492533 2495350 2498167 2500984 2503800 9685108 9684383 9683658 9682931 9682204 9681476 35 34 33 32 31 30 31 32 33 34 35 36 1825215 1828075 1830935 1833795 1836654 1839514 9832019 9831487 9830955 9830422 9829888 9829353 9798667 9798086 9797504 9796921 9796337 9795752 2167236 2170076 2172915 2175754 2178593 2131432 9762330 9761699 9761068 9760435 9759802 9759168 2337282 2340110 2342938 2345766 2345594 2351421 972302d 972233 9721658 9720976 9720294 9719610 2506616 2509432 2512248 2515063 2517879 2520694 9680748. 9680018 9679288 9678557 9677825 9677092 29 28 27 26 25 24 37 38 39 40 41 42 1842373 1845232 1848091 1850949 1853808 1856666 9828818 9828*282 9827744 9827206 9826668 9826128 2013629 2016478 2019327 2022176 2025024 2027873 9795167 9794,581 9793994 9793406 9792818 9792228 2184271 2187110 2189948 2192786 2195624 2198462 9758533 9757897 9757260 9756623 9755985 9755345 2354248 2357075 2359902 2362729 2365555 2368381 9718926 9718240 9717554 9716867 9716180 9715191 2523508 2526323 2529137 2531952 2534766 2537579 2540393 2543206 2546019 2548832 2551645 2554458 9676358 9675624 9674888 9674152 9673415 9672678 23 22 21 20 19 18 43 44 45 46 47 48 1859524 1862382 1865240 1868098 1870956 1873813 9825587 9825046 J824501 9823961 9823417 9822873 2030721 2033569 2036418 2039265 2042113 2044961 9791638 9791047 9790-155 9789862 9789268 9788674 2201300 2204137 2206974 2209811 2212648 2215485 9751706 9754065 9753423 9752781 9752138 9751494 2371207 2374033 2376859 2379684 2382510 2385335 9714802 9714112 9713421 9712729 9712036 9711343 9671939 9671200 9670459 9669718 9668977 9668234 9667490 9666716 9666001 9664508 9663761 17 16 15 14 13 12 49 50 51 52 53 51 1876670 879528 1882385 1 885211 1888098 1890954 9822327 9821781 9821234 9820681) 9820137 9819587 2047808 3060665 2053502 2056349 2062042 9788079 9787483 97868S6 9786288 9785090 2218321 2221158 2'2 L 23 ( )n 1 2226830 2229666 2232501 9750849 9750i03 9749556 9748909 9748261 9717(512 9746962 9746311 9745660 9745008 1744355 9713701 2388159 2390984 2393808 2396633 2399457 2402280 9710649 9709953 9709258 9708561 9707863 9707165 2557270 2560082 2562894 2565705 2568517 2571328 2574139 2576950 2579760 2582570 2588190 11 10 9 8 7 6 55 56 57 58 59 60 / 1893811 1896667 1899523 1902379 ! 10.72:?]. 1908090 9819037 J818185 9817933 9817380 9816826 9816272 2064888 2067734 2070580 2073426 2076272 2079117 J784490 9783287 >782684 J782CHO J781476 2235337 K538172 2211007 2243842 246676 2219511 2405104 2407927 2110751 2413574 2416396 2419219 J706466 9705766 J705065 )702957 9663012 9661513 9660762 9660011 S659258 5 4 3 2 1 Co-sine. Sine. Co-sine. Sine. Co-sine. Sine. Co-sine. Sine. Co-sine. Sine. / 79 78 77 76 75 10 NATURAL SINES. 15 16 17 18 19 / Sine. Co-sine. Sine. Co-sine. Sine. Co-sine. Sine. Co-sine, Sine. Co-sine l 1 3 4 5 6 2588190 2591000 2593810 2596619 2599428 2602237 2605045 L'lio! 1:258 9658505 9657751 9656996 9656240 91 555 [84 9654726 9653968 9653209 9652449 9661689 9650927 9650165 2756374 2759170 2761965 2764761 2767556 2770352 2773147 9612617 9611815 9611012 9610208 9607792 2923717 2926499 2929280 '2932061 2934842 2937623 2940403 9563048 9562197 9561345 9560--J92 955DG39 9o5!)785 9557930 3090170 3092936 3095702 3098468 3101234 3103999 3106764 95 10565 9509666 9508766 9507865 9506963 950C061 9505157 3265682 3258432 3261182 3263932 3266681 3269430 3272179 3274928 3277676 3280424 3283172 3285919 3288666 9l5518f 9454231 9451391 9450441 9449481 6(J 59 58 57 56 55 51 7 8 9 10 11 12 2607853 2610662 2613169 2616277 2619085 2621892 2775941 2778736 2781530 2784324 2787118 2789911 9606984 9606177 9605368 9604558 9603748 9602937 2943133 2945963 2948743 2951522 29.3 1302 2957081 9557074 955621 8 9555361 9554502 9553643 9552784 3109529 3112294 3115058 31 17822 3123349 9504253 95033-lf, 9502113 9501536 9500629 949972 1M1H537 1)1! 7581 9446631 9445676 <.ii!i7-:< 1M43764 53 52 51 50 4-9 48 13 14 15 16 17 18 19 20 21 22 23 24 2624699 2627506 2630312 2633118 2635925 2638730 9649402 9648638 9647873 9647108 9646341 9645574 2792704. 27951 !7 2798290 2801083 2803875 2806667 9602125 9601312 9600499 959968 i 9598869 9598053 2959859 2962638 2965416 296819-1 2970971 2973749 9551923 9551062 9550199 9549336 9515473 9517608 3126112 3128875 3131638 3134400 3137163 3139925 9498812 9497902 9496991 9-i965!>5 9488760 3307889 3310634 3313379 3316123 3318867 3321611 9137048 943(5085 9435122 1)134157 9433192 9432227 25 26 27 90 29 30 2658366 2661170 2663973 2666777 2669581 26723;; \. 9640181 9639407 9638633 9637858 9637081 9636305 2826206 2831785 2834575 2837364- 2810153 9592318 9591-196 959067:2 9589818 9588197 2993184 2995959 2993731 3001509 3007058 951-1533 9540662 9539790 9538017 9538044 9537170 3159250 3162010 3164770 31(57529 3170288 317301-7 9187842 9486922 9486002 9485081 9483237 3324355 3327098 3329841 3338069 9131260 9430293 94 21 )324 9428355 9!rj3j:< 91 26115 35 34 33 32 31 30 31 32 33 3t 35 36 2675187 2677989 2680792 2683594 2686396 2689198 9635527 9634748 9633969 9633189 9632408 963Ui'26 28 129 12 2845731 2854096 2856884 9587371 9586543 9585715 9584056 953322; i 3009832 3012606 3015380 3018153 3020926 3023699 9536294 9535418 9534542 9532786 9531907 3175805 3178563 3181321 3184079 3189593 9482313 9iKK5!!9 9480464 9478612 9477684 3340810 3343552 3346293 3349034 3351775 3354516 94 '25444 9424471 iij-2: 5-1-90 9422525 !M2io5() 9 1 20575 29 28 27 26 25 24 37 38 39 40 41 42 2692000 2694801 2697602 2700403 270320]. 2706004 9630843 9630060 9629275 9628490 9627704 !ii'2(i917 2859671 2862458 2865246 2868032 2870819 2873605 9582391 D581562 1580729 9579895 9579060 J578'225 5026471 3029244 3032016 3037559 3040331 9531027 15301 !6 9526615 3192350 3195106 3206130 9176756 9474897 9l-7:59i;<5 91-72103 3357256 3359996 3362735 :;.;< : . : >!M 3^6821 I- 3370958 9 M 9598 941862] 94176*1 94166R5 9415686 9414-705 23 22 21 20 19 18 43 44 46 46 47 48 2708805 2711605 2714104 2717204 2720003 2722802 96261:30 1)62 155-2 96 237f 12 9622972 9622180 28763!)! 2879177 2881963 2887533 2890318 9577389 9576552 J57571 1 9574875 1571035 9573195 3043002 W48643 3051413 3054183 3056953 9525730 9522183 9521294. 3208885 3211640 >1\ [395 3219903 91-71170 l)470'23i; 946930] 9467430 9466493 3373691 5379167 5384642 3387379 1)113724 91-11760 !>!- 10777 9 109793 9-108008 17 16 15 11 13 12 11 10 9 8 7 6 4.9 50 51 52 53 51 2725601 2728400 2731198 2733997 2736791 2739592 9621387 9620594 9619800 9619005 9618210 9617413 2893103 2895887 2893671 2! K)l 1~>5 2904239 2907022 2909805 2912588 2915371 2918153 aM717 957235 1 ( )5715!'2 9570669 9569825 9568981 J568136 3059723 5062492 3065261 3068030 3070798 3073566 1520404 J51951I 9518623 151773] 1516838 i5!5914 32'25 11 1 3230917 "239174 9465555 9464616 9463677 9462736 91iil7!)5 9460854 3390116 5395589 1390325 :;.'(:;;,< 5403796 !lif)782'2 1406835 ( )!ii/)j;in 9104860 J- 103871 1402881 9401891 9100899 93W907 9398914 D. '1)79 21 9396926 55 56 57 58 59 60 2742390 2745187 274798-1 2760781 2753577 2756374 9616616 9615818 9615019 9614219 9613418 9612617 )567290 >r><;r, 1 13 9565595 9561717 9563898 9563018 -3076334 3079102 3081869 5084636 3090170 9515050 )51 U51 9512 C 258 )5 12361 )511464 )510565 J241926 J244678 3255682 945991 1 9i5;:%fi 9155186 3106531 3109265 3412000 3414734 3417468 3420201 5 4 3 2 1 / Co-sine. Sine. Co-sine. Sine. Co-sine. Sine. Co-sine. Co-sine. Sine. / 74 73 72 71 7O ^>. NATURAL SINES. 20 21 22 23 24 / 1 e> 3 4 5 6 7 8 9 10 11 12 Sine. Co-si nc. Sine. Co-sine- Sine. 3716066 3748763 375145!) 3754156 3756852 3759547 3762243 Cosine. 9271839 9270718 9269658 9268566 9267474 9266380 9265286 Sine. Co-sine. Sine. Co-sine. / 60 59 58 57 56 55 51 3420201 3422935 3428668 3428400 3431133 3453865 3456597 9396926 9395931 9394935 9393938 9392940 939i9i'2 9390943 3583679 3586395 3589110 3591825 3594540 3597254 3599968 9335804 9331-761 9333718 9332673 933 1628 9329535 3907311 3909989 3912666 3915343 3918019 3920695 3923371 9205049 9202774 9201635 9200196 9199356 9198215 4067366 4070024 4072631 1075337 1077993 4080619 1083305 9135155 9131271 9133087 9131902 9130716 9129.329 9128312 9127151 91259G5 9121775 9123584 9122393 9121201 3439329 3442060 3444791 3447521 3450252 3452982 9389942 9388912 9387940 9386933 9385934 9381.930 3602682 3605395 3608108 3610821 3613534 3616246 9328488 9327439 9326390 9325340 932J-290 9323238 3761938 3767632 3770327 3773021 377.371 i 3778408 9261192 9263096 9262000 9260902 9259805 9258706 3926047 3928722 3931397 3939419 9197073 9195931 919 1788 9193644 9192199 9191353 9190207 9189060 9187912 9186763 9185611 9184464 4085960 4088615 4091269 4093923 '1096577 4099230 53 52 51 50 49 48 13 14 15 16 17 18 3455712 3458441 3461171 3463900 3461)357 9383925 9382920 9381913 9380906 9379898 9378389 3618958 3621669 3624380 3629302 3632512 9322186 9321133 9320079 9319024 9317969 9316912 3781101 3783794 3786486 3789178 3791870 3794562 3797253 3799944 3805324 3808014 3810704 9257G06 9255105 9254503 9253201 9252097 3942093 3944766 3947439 395034] 3952783 3955455 4101833 4104536 4107189 4109841 1112192 4115141 9120008 9118815 9117620 9116125 9115229 9114033 47 46 45 44 13 42 19 20 21 22 23 24 3172085 3474812 3477510 3480267 3482994 3485720 9377880 9376869 9375858 9374846 9373833 9372820 3635222 3640641 3643351 3646059 3618768 9315855 9314797 9313739 9312679 9311619 9310558 9250993 92 19888 9248782 9215160 3958127 3960798 3963468 396613!) 3971479 9183313 9182161 9181009 9179855 9178701 9177516 4117795 4120145 4123096 4125715 4128395 4131011 9112835 9111637 9110138 9109238 9108038 9106837 41 40 39 38 37 36 25 26 27 28 29 30 3188147 3491173 5493898 J496624 3498349 3502074- 9371806 9370790 9.W977 ! 9368758 9367740 936(1722 3651476 3654184 3656891 3659599 3662306 3665012 9309496 9308134 9307370 9306306 9305211 9304176 3813393 3816082 3818770 38211,)!) 3821117 3826834 9244351 9212131 9241020 9239908 9238795 3974413 3976818 3979486 3982155 3984523 3987!!)! 9176391 9175231 9174077 9172919 9171760 9170601 1133693 1136312 4138990 4141638 4144285 4116932 9105635 9101452 9103228 9102021 9100819 9099613 35 34 33 32 31 30 31 32 33 34 as 36 3501.798 1507523 3510246 3512970 J515693 35.18416 9365703 9364683 9363662 9362641 9361618 9360595 3667719 3670425 3673130 3675836 3678-541 .3681216 9303109 9302042 9300974 9299905 9298835 9297765 382! 1522 3832209 3834895 3837582 3840268 381.2953 3845639 3848324 3851008 3853693 3856377 3859060 9237682 9236567 9235452 9234536 9233220 9232402 3990158 3992825 3995492 3998158 4000825 4003190 9169310 1)168279 9167113 9165955 9164791 9163627 4149579 1152226 1151.872 4157517 4160163 1152808 9098406 9097199 9095990 9091781 9093572 9092361 29 28 27 26 25 24 37 38 39 40 41 42 3521139 3523862 1526584 1529306 1532027 3534748 9359571 9358547 9357521 9356195 9355468 9354440 9353412 9351352 9350321 9349289 9348257 3683950 3686654 3689358 3692061 3694765 3697163 9296691 9295622 9294549 9293475 9292401 9291326 9230984 9228745 9225381 4006156 4008821 1011 18G 4014150 4019478 9162462 9161297 9160130 9158963 91. 5779.") 915(5626 116.51.53 H68097 ! 1707 11 Q73385 1178671 1181313 11839.51; H91880 1191521 90911.50 9089938 9088725 9087511 9085082 23 22 21 20 19 18 43 44 45 46 47 48 3537169 3510190 J542910 3545630 1548350 3551070 3700170 3702872 3705571 3708276 3710977 3713678 9290250 9288096 9287017 9 2: 559:'.: 5 928 1853 3861744 3864427 3867110 3869792 3872474 3875156 9224258 9223134 9222010 9220884 9219758 921 8(132 10:22111 1024804 1030129 4032791 1035 1.5.3 91551,36 9154286 9 1.33 11. 5 9151943 9150770 9149597 9083866 9081132 9080211 9077775 17 16 15 14 13 12 49 50 51 52 53 54 55~ 56 57 58 59 60 3553789 3556508 J559226 5561944 3564662 3567380 931722,3 9346189 9345154 934411!) 9343082 9.3 120 k3 3716379 3719079 3721780 372117!) 372717!) 3729878 3732577 3735275 3737973 3740671 3743369 3746066 9283778 9281614 9279447 92783(i3 3877837 3880518 5883199 3891210 9217501. 9216375 921 Lllii 9211854 4038111 10 1.3 136 4048756 4051416 9113122 ! 116072 9113718 914251.0 1197161 1207719 1.210358 9076554 9071111 5071665 9070410 11 10 9 8 7 6 5 4 3 i Q 1 3570097 3572814 3575531 3578248 3580964 3583679 9311007 9339968 9338928 9337888 9336846 9335804 9277277 9276191 9275104 9274016 9272928 9271839 3893919 3896598 3899277 3901955 3904633 3907311 9210722 9209589 9208455 9207320 9206185 9205019 105 1075 1056734 feOol 1064709 1067366 91 M.">61 9110181 1212996 1220909 1226183 9069215 9067989 9066762 9063078 / Co-sine. Sine. Co-sine. Sine. Co-sino. Sine. Co-sine. Sine. Co-sine. Sine. 1 69 68 67 66 65 NATURAL SINES. / 25 26 27 28 29 / 60~ 59 58 57 56 55 54 Sine. 1226183 4223819 4231456 423-1090 4236725 4239360 4241994 Co-sine. Sine. Co-sine. 8987940 8986665 8985389 8984112 8982834 8981555 8980276 Sine. Co-sine. Sine. Co-sine. 8329476 8823110 332(5743 8825376 8824007 8822638 8821269 Sine. Co-sine. 8746197 8744786 8743375 8741963 8740550 8739137 8737722 8736307 8734891 3733475 8732058 8730640 8729221 1 2 3 4 5 6 ~1 a 9 10 11 12 9063078 9061818 9060618 9059386 9058 154 9056922 9055688 -! 3337 11 4-386326 4388940 4391553 439" 11 66 4396779 4399392 4539905 4542497 1545083 451-7679 4550269 4552859 1555449 8910065 8908744- 8907423 8906100 8904777 8903153 8902128 4694716 4697284 4699852 4702419 4704986 4707553 4710119 4848096 4850640 4853134 4855727 4858270 4860812 4863354 4214628 4247262 4249895 42.32528 4255161 4257793 9054154 9053219 9051983 9050746 9049509 9048271 4402004 4401615 4407227 4409338 441244-8 4415059 8978996 8977715 8976433 8975151 8973868 8972584 4558038 4560627 4563216 4565804 4568392 4570979 8900803 8899476 8898149 8896822 8895493 8894164 8892834 8891503 8890171 8888339 8887506 3886172 4712685 47 15250 4717815 4720380 4722944 4725508 8819898 8818527 8817155 8815782 8814409 8813035 4865895 4868436 4870977 4873517 4876057 4-878597 53 52 51 50 49 48 13 14 15 16 17 18 4260425 4263056 4265687 4268318 4270949 4273579 9047032 9045792 9044551 9043310 9042068 9040825 4417668 4420278 4422887 4425496 4428104 4450712 8971299 8970014 8968727 8967440 8966153 8964864 4573566 4576153 4578739 4581325 4583910 4586496 4728071 4730634 4733197 4735759 4738321 4740882 8811660 8810284 8808907 8807530 8806152 8804774 8803394 8802014 8800633 8799251 8797869 8796486 4881136 4883674 4-886212 4883750 4891288 4893825 8727801 8726381 8724960 8723538 8722116 8720693 8719269 8717844 3716419 8714993 8713566 8712138 47 46 45 44 43 42 41 40 39 38 37 36 19 20 21 22. 23 24 4276208 4278838 423,1467 4281095 4286723 4289351 4291979 4294606 4297233 4299859 4302485 4305111 9039582 9038338 9037093 9035847 9034600 9033353 4433319 4435927 4438534 4441140 4443746 4446352 8963575 8962285 8960994 8959703 895841 1 8957118 4589080 1591665 4594248 4596832 4599415 4601998 8884838 8883503 8882166 8880830 8879492 8878154 4743443 4746004 4748564 4751 124 4753683 4756242 4896361 4898897 4901433 4903968 4906503 4909038 25 26 27 28 29 30 9032105 9030856 9029606 9028356 9027105 9025853 4448957 1451562 4151-167 4456771 4459375 4461978 8955824 3954529 8953234. 3951938 8950641 8949344 4604580 4607162 4609744 4612325 4614906 4617486 8876815 8875475 8874134. 8872793 8871451 8870108 4758801 4761359 4763917 4766474 4769031 4771588 8795102 8793717 8792332 8790946 8789559 8788171 4911572 4914105 4916638 4919171 4921704 4924236 8710710 8709281 8707851 8706420 8704989 8703557 35 34 33 32 31 30 31 32 33 34 35 36 4307736 4310361 4312986 4315610 4318234 4320857 9024600 9U23347 9022092 9020838 9019582 9018325 4464581 4J67184 4469786 4472388 1474990 4477591 8918015 8916746 H'.) 1,5116 8914146 8912314 8941542 4620066 4622646 4625225 4627804 4630382 '1632960 8868765 8867420 8866075 8864730 8863383 8862036 8860688 8859339 8857989 8856639 8855283 8853936 4774144 4776700 4779255 4781810 4784364 4786919 8786783 8785394 8784004 8782613 8781222 8779830 4-926767 4929298 4931829 4934359 4936889 4939419 8702124 8700691 8699256 8697821 8696386 8694949 29 28 27 26 25 24 37 33 39 40 41 42 4323481 4326103 4328726 4331348 4333970 4336591 9017068 9015810 9014551 9013292 9012031 9010770 4480192 1482792 4485392 4487992 4190591 4493190 8940240 8938936 8937632 8! 136326 8935021 8933714 4635538 4638115 4640(592 4613269 4645846 4618420 4789472 4792026 4794579 4797131 4799683 4802235 8778437 8777043 8775649 8774254 8772858 8771'462 4941948 494-4476 4947005 4949532 4952060 4954587 8693512 8692074 869063(5 8689196 8687756 8686315 23 22 21 20 19 18 43 44 f 47 48' 4339212 4341832 4344453 1347072 4319(592 435231 1 9009508 9008246 9006982 9005718 9004453 9003188 4495789 4498387 4500984 '4503582 4506179 4508775 8932406 8931098 892978!) 8<.)23i;;o 8927 169 8925858 4650996 4653571 4656145 4658719 4661293 4663866 8852584 8851230 8849876 8348522 8847166 884.5810 4304736 4807337' 4809888 481 2438 4814987 4817537 8770064 8763666 8767268 8765868 8764-168 8T63067 4957113 4959639 4962165 4964690 4967215 4969740 8681874 8683131 8681988 8680544 8679100 8677655 17 16 15 14 13 12 49 50 51 52 53 54 4351930 1357518 4360166 4362784 4365401 4368018 9001921 9000654 8999386 8998117 8996818 8995578 151 1372 1-513967 4516563 4519158 1521753 452431-7 892-1546 8923234 892 1920 8920606 5919291 8917975 4666439 4669012 4671534- 4674156 4676727 4679298 8844453 8845095 8841736 8810377 8839017 8837656 4820086 4825182 4827730 4830277 4832824 8761665 8760263 8758859 3757455 875(5051 8754645 4972264 4974787 4977310 4-979833 4932355 4984877 8676209 8674-762 8673314 8671866 8670417 8668967 11 10 9 8 7 6 55 5G 57 58 59 60 4370634 4873251 4375866 1378482 4381097 4383711 Co-sine. 8994307 8993035 8991763 8990489 8989215 3937940 152691.1 4529535 4532128 4534721 1537313 8916659 8915342 8914024 8912705 8911385 8910065 Sine. 4681869 4687009 4689573 4692147 1694716 8836295 8834933 8333569 8832206 883084-1 8829476 4835370 4837916 4840462 4813007 4845552 4348096 8753239 8751832 8750425 '8749016 8747607 8746197 1987399 4989920 1992441 4994961 1.997481 ,5000000 8667517 8666066 8661614 8663161 8661708 8660254 5 4 3 2 1 / Sine. Co-sine. Co-sine. I Sine. Co-sine. Sine. Co-pine. Fine. / 64 63 62 61 ' CO NATURAL SINES. / 30 31 33 33 34 Sine. Co-sine Sine. Co-sine 8,571673 8570174 8.568675 8.56717.5 8565674 8561473 8562671 Sine. Co-sine Sine. Co-si nr Sine. Co-sine / 1 2 3 4 5 6 5000000 5002519 5005037 5007556 5010073 5012591 5015107 86602.5 8658799 86.57314 8655887 8(55 1430 8(552973 8651514 51.50381 .51.52874 5155367 5157859 5160351 5162842 5165333 .5299193 5301659 .530412.5 .530(5.591 6309057 5311521 5313985 8480481 8178939 H 177397 8475853 8474309 81727(55 8171219 544639C 5448830 5451261 5453707 5456145 545858: 5161020 }!3H670f !53!5;5I21 8383531 838195C 8380363 8378775 8377187 5591929 5594310 5596751 5.599162 5601572 5603981 5606390 8290376 8288749 8287121 8285493 8283864 8282234 8280603 60 59 58 57 56 55 54 7 8 9 10 11 12 5017624 5020140 5022655 5025170 5027685 5030199 8650055 8648595 8647134 8645673 8644211 8642748 5167824 5170314 5172804 5175293 5177782 5180270 85(51168 8559664 8558160 8556655 8555149 8553(543 5316450 5318913 533*376 5323839 5326301 5328763 8469673 8468126 84(56579 8465030 8463481 8461932 5163456 5465892 5468328 5-170763 5473198 5475632 8375598 8374009 8372418 8370827 8369236 8367613 5608798 5(511206 5613614 5616021 5618428 5620834 8278972 8277340 8275708 8274074 8272440 8270806 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 13 14 15 16 17 18 1? 20 21 22 23 24 5032713 5035227 5037740 5010252 5012765 50-15276 8641281 8639820 8638355 8636889 86354.23 8633956 5182758 5185246 5187733 5190219 5192705 5195191 8552135 8550627 8549119 851-7609 85-1-6099 8544588 5331224 5333685 5336145 5338605 5341065 5343523 8460381 8458830 8457278 8455726 8454172 8452618 5478066 5480499 5482932 54853(55 5487797 5490228 8366050 8364456 83(52862 8361266 8359670 8358074 5623239 5(525645 5628049 5630453 5632857 5635260 8269170 8267534 8265897 8264260 8262622 8260983 5047788 5050298 5052809 5055319 5057828 5060338 8632488 8631019 862951-9 8628079 8626608 8625137 5197676 5200161 5202646 5205130 5207613 5210096 8543077 8541564 8540051 3538538 8537023 8535508 5345982- 5348440 5350898 53.53355 5355812 5358268 8451064 8449508 84-17952 844/5395 8444838 844-3279 5492659 5495090 5497520 5199950 5502379 5504807 835(5476 8354878 8353279 8351680 8350080 8348479 5637663 5640066 564.2467 5644869 5647270 5649670 8259343 8257703 8256062 8254420 8252778 8251 135 25 26 27 28 29 30 3? 32 33 34 35 36 37 38 39 40 41 42 5062846 5065355 5067863 5070370 5072877 5075384 8623664 8622191 8620717 8619243 8617768 8616292 5212579 5215061 5217543 5220024 5222505 5224986 8533992 8532-475 8530958 8529440 8527921 8526 102 5360724- 5363179 5365634 5368089 5370513 5372996 8441720 8440161 8438600 8437039 813.5177 8433914 5507236 5509663 5512091 5514518 5516944 5519370 8346877 8315275 S343672 8342068 5340463 8338858 5652070 5654469 5656868 5659267 5661665 5664062 8249491 8247847 8246202 8244556 8242909 8241262 35 34 33 32 31 30 29 28 27 26 25 24 ~23 22 21 20 19 18 5077890 5080396 5082901 5085406 5087910 5090414 8614815 8613337 8611859 8610380 8608901 8607420 5227166 5229945 5232424 5234903 5237381 5239859 3521881 5523360 (521839 8520316 8.518793 J.5 17269 537.511!) 5377902 5380354 5382806 5385257 5387708 8132351 8430787 8429222 84-27657 8426091 8124.524 5521795 5524220 5526645 5529069 5531492 5533915 8337252 8335646 8334038 8332430 8330822 8329212 5666459 5668856 5671252 5673648 5676043 5678437 8239614 8237965 8236316 8234666 8233015 8231364 5092918 5095421 5097924 5100426 5102928 5105129 8605939 8604457 860297.5 8601491 5600007 8598523 52 12336 5244813 5247290 5249766 5252241 5254717 3515715 551-1219 5512693 1.511167 5.50W3!) 8508111 5390158 5392608 5395058 5397507 5399955 5102403 8422956 8421388 3119819 8418249 814667!) 8415108 5536338 5538760 5541182 5543603 5546024 5548444 8327602 8325991 8324380 8322768 83211.55 8319541 5680832 5683225 5685619 568801 1 5690403 5692795 8229712 8228059 8226405 8224751 8223096 8221440 43 44 45 4T> 47 48 5107930 3110431 5112931 51 1.5 131 5117930 5120129 8597037 8595551 8594064 8592576 s.5'.i ]o;;:! 1589599 5257191 52.51)66.5 5262139 5264613 5267085 5269558 < ].50(i582 5.50.50.53 1503522 5501991 1.500 1.5!) <5 1-98927 5404851 5407298 5409745 5412191 5414637 5417082 8413536 8411963 8410390 8408816 8407241 8405666 55508(54. 5553283 5555702 5558121 5560539 556295(5 5565373 5567790 557020(5 j.57262 1 J575036 5577451 8317927 8316312 8314696 8313080 8311463 8309845 5695187 5697577 5699968 5702357 5704747 5707136 5219784 8218127 8216469 8214811 8213152 8211492 17 16 15 14 13 12 48 50 51 52 53 51- 5122927 >1 25425 5127923 H30420 5132916 5135113 8588109 8586619 5.5!:.5127 8583635 :.">:; 21 i.; 8580649 5272030 5271.502 5276973 5279443 5281914 5284383 i 197394- 3-1-95860 1494325 5492790 (491254 8189717 5419527 5421971 5424415 5426859 H29302 5 1317 H 8404090 8402513 {100936 1399357 :3!)777, c ; 3396199 8308226 8306607 5301987 8303366 5301745 8300123 5709524 5711912 5714299 J716686 5719073 5721459 8209832 8208170 8206509 8204846 8203183 8201519 11 10 9 8 7 6 55 56 57 53 59 60 5137908 5140404 5142899 51-15393 >l 1 7887 51.50381 8579155 S577660 8576164 <5.57166!5 8573171 8571673 5286853 5291790 5294258 5296726 5299193 ^1:58179 1486641 III 1.5102 5483562 5480481 5434187 >439069 5441510 5! !; ;!(.->! 5 1 16390 5391618 3393037 1391455 5389873 1388290 8386706 5579865 584692 .587105 589517 5591929 ;2! >::,;< >o 8296877 5295252 8293628 1292002 :2!)(>376 0723844 5726229 5728614 5730998 0733381 735764 8199854 8198189 8196523 819-1856 8193189 3191520 5 4 3 2 1 / Co-sine. Sine. Co-sin P. Sine. C(i siiui. Sine. Co-sine. Sine. }o-sine. Sine. / ' 59 58 57 56 55 NATURAL SINES / 35 36 37 38 39 / 60 59 58 57 56 55 54 Sine. Co-sine. Sine. Co-sine. Sine. Co-sine. Sine. Co-sine. Sine. Co-sine. 1 2 3 4 5 6 7 8 9 10 11 12 5735764 5738147 5740529 5742911 5745292 571-7672 5750053 8191520 8189852 8188182 8186512 8181-841 8183169 8181497 5877853 5U80 206 5882558 5884910 5887262 5889613 5891964 8090170 80*460 8086749 8085037 8083325 8081612 8079899 6018150 6020473 6022795 6025117 6027439 6029760 6032080 7986355 7984604 7982853 7981100 7979347 7977594 7! 175839 6156615 6158907 6161198 6163489 6165780 6168069 6170359 7880108 7878316 7876524 7874732 7872939 7871145 7869350 6293204 6295464 6297724 6299983 6302242 6304500 6306758 7771460 7769629 7767797 7765965 7764132 7762298 7760464 5752432 5751811 5757190 5759568 5761946 5764523 8179824 8178151 8176476 8174801 8173125 8171449 5894314 5896663 5899012 5901361 5903709 5906057 8078185 8076470 8074754 8073038 8071321 8069603 6034400 6036719 6039038 6041356 6043674 6045991 7974084 7972329 7970572 7968815 7967058 7965299 6172648 6174936 6177224 6179511 6181798 6184084 7867555 7865759 7863963 7862165 78603(57 7858569 6309015 6311272 6313528 6315784 6318039 6320293 7758629 775(5791 7754-957 7753121 7751283 7749445 53 52 51 50 49 48 47~ 46 45 44 43 42 13 14 15 16 17 18 5766700 5769076 5771452 5773827 57769*2 5778576 8169772 8168094 816(5416 8164736 8163056 8161376 8159(595 8158013 8156330 8i. OK;! 7 8152963 8151278 8149593 8147906 8146220 .'I 1440,52 8142844 8141155 5908404 5910750 5913096 591 5-! 11 5917787 5920132 8067885 8066166 8064446 3062721 i 8061005 8059283 6048308 6050624 6052940 6055255 6057570 6059881 79(53540 7961780 7960020 7958259 7956-1-97 7954735 6186370 6188655 6190939 6193224 6195507 6197790 7856770 7854970 7853169 7851368 7849566 7847764 (532:2517 6324800 6327053 6329306 6331557 6333809 7747606 7745767 7743926 7742086 7740244 7738402 19 20 21 22 23 24 5780950 5783323 5785696 5788069 5790440 5792812 5922476 5924819 5927163 5931847 593118!) 8057560 J056837 8051113 8052389 8050664 8048938 6062198 6064511 6066824 6069136 6071447 6073758 6076069 6078379 6080689 6082998 6085306 6087614 7952972 7951208 79-1-94.41. 7947678 7945913 7944146 7942379 7940611 79, ;!>!!];> 7937074 7935304 7933533 6200073 6204636 6206917 6209198 6211478 7845961 7844157 7842352 7840547 7838741 7836935 6336059 6338310 6340559 6342808 6345057 (5317305 7736559 7734716 7732872 7731027 7729182 7727336 41 40 39 38 37 36 25 26 "7 28 29 30 5795183 5797553 5799923 5802292 5804661 5807030 5936530 5938871 5911211 5943550 5945889 5948228 804721 1 8045 18 1 8043756 8042028 3040299 8038569 6213757 6216036 6218314 6220592 6222870 6225146 7835127 7833320 7J].;ioll 7829702 7827892 78:2(5082 6349553 6351800 6354046 6356292 6358537 6360782 7725489 7723(542 7721794 771!)!) 1-5 7718096 7716216 35 34 33 32 31 30 31 32 33 34 35 36 5809397 58 1 1 765 5811132 5816198 5818864 5821230 8139466 Hi; 17775 8136081. 8134393 8132701 8131008 5950566 5952904 39552 11 5957577 5959913 596'22 19 8036838 8035107 8933375 803161-2 3029909 8028175 6081)922 6092229 6094535 6096841 6099147 6101452 7931762 7929990 7928218 7926445 7924671 7922896 7921121 7919345 7917569 7915792 7914014 7912235 6227423 6229698 6231974 6234248 6236522 6238796 7821-270 7822459 7820646 7818833 7817019 7315205 7813390 7811574 7809757 7807940 7806123 7804304 6363026 6365270 6367513 636975(5 6371998 637-1-240 7714395 7712544 7710(592 7708! MO 7706986 7705132 29 28 27 26 25 24 37 38 39 40 41 42 5823595 5825959 5828323 5830687 5833050 5835412 8129314 8127620 8125025 812122!) 81225:>2 8120835 5964584 5966918 6969252 5971586 5973919 5976251 8026 140 8024705 8022969 8021232 {{0191-95 8017756 6103756 6106060 6108363 6110666 6112969 6115270 6241069 6243342 6245614 6247885 6250156 6252427 6376481 6378721 6380961 6383201 6385440 6387678 7703278 7701423 7699567 7697710 7695H53 7693996 23 22 21 20 19 18 r? 16 15 14 13 12 43 44 45 46 47 48 5837771 5810136 5842427 5844857 5847217 5849577 8119137 !J117l;Mi 8115710 8114040 8112339 8110638 5978583 5! 1809 15 5983246 5985577 55)87906 5990236 8016018 8014278 8012538 S010797 ;;<<<)! )o.-)i; 8007314 6117572 6119873 6122173 6121473 6126772 6129071 7910456 7908676 7906896 7905115 7903333 7901550 6254696 6256966 6259235 6261503 6263771 6266038 7802485 7800665 7798845 7797024 7795202 7793380 6389916 6392153 6394390 6396626 6398862 6401097 7692137 7690278 7688418 7686558 7684697 7682835 49 50 51 52 53 54 5851936 5851294 5856652 5859010 5861367 5863724 8108936 8107234 8105530 8103826 8102122 8100416 5992565 5994893 5997221 5999540 6001876 6004202. 6006528 600885-4 6011179 6013503 6015827 6018150 8005571 8003827 8002083 8000338 7998593 7996847 6131369 6133666 6135964 6138260 6140556 6142852 7899767 7897983 7896198 78944-13 7892627 7890841 6268305 6270571 6272837 6275102 6277366 6279631 7791557 77!!!)7;):> 7787909 7786084 778 1258 7782431 6403332 (5405566 6407799 6410032 6412264 6414496 7680973 7679110 7677246 7675382 7673517 7671652 7669785 7667918 7666051 7664183 7662314 7660444 11 10 9 8 7 6 55 56 57 58 59 60 5866080 5868135 5870790 5873145 5875499 5877853 ,8098710 8097004 8095296 8093588 8091879 8090170 7995100 7993352 7991604 7989855 7988105 7986355 6145147 6147442 6149736 6152029 6154322 6156615 7889051- 7887266 7885477 7883688 7881898 7880108 6281894 (5284157 6286420 6288682 6290943 6293204 7780604 7778777 7776949 7775120 7773290 7771460 6416728 (5418958 6421189 6423418 6425647 6427876 5 4 3 a 1 / Co-sine. Sine. Co-sine. Sine. Co-sine. Sine. Co-sine. Sine. Co-sine. Sine. / 54 53 52 51 50 NATURAL SINES. f / 40 41 42 43 44 / Sine. Co-sine. Sine, Co-sine 75 1-7091 7.3 1,3187 7.3!,i;;i;; 7S39451 7837541 75^5634 Sine. Co-.inc. Bine. Co-sine. Sine. Co-sine. 1 I 2 3 ! I 5 6 6427876 6130104 6452332 6436785 5439011 5441236 6H.5K51 51 15685 144.7909 54.30I,;.' 1452355 115 1,377 76(5014-1 765857 1 76,36704 7654832 7651087 7649211 7(517310 7645465 76! m i. 7639838 763791 50 6560590 6562785 6564980 6567174 6569367 6571560 65737.32 6691306 6(593468 (if 5! 1362!; 6697789 6699948 6702108 6704266 71: 5! 118 7429502 7427554 7425606 7123' 558 712170:; 7-1-19758 74178o7j 741390^ 711! 95: 74-10001 740804* 6819984 6822111 682-12:57 6828489 6830613 6832738 7 , 5 ! . 1.3. 57 7311653 730956! 7301(523 6916581 6948676 6950767 6952858 6954949 6957039 69.39128 6961217 6963305 6965392 6967479 6969565 6971651 719:5,59;, 7191377 7189355 7187333 7185310 7181263 717923SJ 7177213 7175187 717.5161 7171134 7169106 (50 69 .08 57 56 65 51 7 8 9 10 11 12 6.37.09!.! 6578135 6580S26 6582516 6584706 6586895 7533721 7531 80 7529894 7527980 7526065 7521119 (570(5 1.2 1 6708582 6710739 6712895 (5715051 6717206 6834861 6839107 6345471 7299635 7297646 7293668 7289686 53 ;32 51 60 49 48 13 14 15 1(5' 17 18 6456798 5 1.390 19 1461240 1463460 "5465679 5467898 71 I.* 50,'J 2 7(5.5! 'JO 1- 7632325 7630445 7628564 7626683 6589083 6591271 659345S 6595645 6597831 6600017 7522233 7520316 751839!! 7516480 7514-5(51 7512641 (5719361 6721515 6723668 (5725821 6727973 6730125 7106092 74014:57 7402181 7HI022: 739826! 7396311 6817591 (5819711 6851830 6853948 (5856066 6858181 7287(595 7285703 7283710 7281716 7279722 7277728 (597:37:56 6975821 6977905 6979988 6982071 6981153 7167078 716.3019 71(530 19 71609559 7158959 7156927 7151895 7152863 7150830 7148796 71-1(57(52 7111727 714.2(591 71106.3.3 7138618 7136581 7134543 7132501 47 46 45 44 43 42 19 20 21 22 23 24 25~ '2(i 27 28 29 30 31 32 33 31 35 36 ; no 116 i ! 72: 5. 5 1 5474551 5476767 5478984 5481199 ;i;;;;i! i. 5485(528 5487842 490056 i492268 5494480 7624.802 7622919 7621036 7619152 7617268 761 5,5! 5: 5 6602202 6604386 5606570 6608754 5610936 6613119 7510721 7608800 7506879 7504957 7503034 7501111 (5732276 573 1 !27 57:5(5.377 57;;!;727 57-1-087(5 5743024 7394353 7392394 7390435 7.;:::; 17.3 7386515 7;W 1553 6860300 6802416 6864532 6866641 6868761 687087,3 6872988 6875101 6877213 6879325 6881435 (58835 16 7275732 7273736 7271710 7269743 7267745 72(5.37-17 6986234 6988315 6990396 6992476 599 1-0,0,0 6996(533 41 40 39 38 37 36 35 31 33 32 31 30 76131-97 7611611 7609724 7t5078.f/ 7604060 6615300 5617482 6619662 5621842 562 1022 6626200 7199187 7 197262 7495337 7493411 7 i'H 164 7489557 571,3172 5747319 5749466 57.31(512 575375- 575.3902 7382592 7380629 7376703 7374738 7.57277.; 7263718 72(51718 7259748 72.3771; 72,337 i- ! 6998711 7000789 7004942 7007018 7009093 1496692 S498903 1501114 1505533 5507742 7(502170 7(500280 7598389 7596498 759 1606 7592713 3628379 5630557 iii;; 27.;' 5634910 5637087 5639262 7 1-8 7629 7485701 7483772 7481842 71-79912 71-77981 5758046 5760190 5762333 5764476 5766618 5768760 7370808 7368842 7364908 7362940 731 50971. 6885655 6889873 (5891981 6894089 6896195 72.01711 7243724 7211719 70111(57 7013241 7015314 7017387 7019459 702 1531 713016.0 7128426 7126385 7124344 7! 22.503 71202(50 29 28 27 26 25 24 37 38 39 40 41 42 43~ 44 45 46 47 48 6509951 1512158 551 1-36(5 5516572 6518778 5520984 6523189 152539 i. 5-327.398 6529301 5532004 6531206 7,090820 75!J::92(5 7587031 7585136 7583240 7581343 5641437 5643612 5645785 5647959 6650131 5652304 717(5019 7 17 1-1 17 7472184 71-70251 74683H 746(5:!2 5770901 5773041 577.3181 5777.520 5779459 5781597 7::5.39002 7357032 7:5,3-30(51 7353090 7351118 734-9146 6898302 6900407 6902512 (5901617 6906721 6908824 7239712 7237705 7233690 7231681 7229(571 702:5(501 7025672 70277 11 7029811 7031879 7033917 7118218 711(5171- 7114130 7112086 7110011 7 1079! 1.0 23 22 21 20 19 18 17 16 15 14 13 12 7579146 757751,': 6654475 5656646 7464446 7)62510 7460574 7458636 7456699 7 151-760 57< ( :. 573!- 5785871 5788007 57901 1:5 1792278 5794413 73-17173 7313199 7343225 73372! if) (5910927 6913029 6915131 6917232 6919332 6921432 7227661 7225651 7221628 7219615 7217602 7036014 7040147 7042213 7044278 7016312 701.8106 7050469 7052532 7054594 7058716 71 0,09 18 7103901 71018.01 70! 177.37 7095707 7575(550 7573751 7571851 7569951 5658817 6660987 6663156 6665325 49 50 51 52 53 51. 5536408 6538609 5540810 5543010 5546209 6517408 7568050 7566 148 7564246 7562343 7560439 7558535 7556630 755 172 ! 7552818 7550!)]! 75 1-900 1 751709:5 6667493 6669661 6671828 6673994 6676160 6678326 7152821 7450881 7448941 711.6999 7445058 711.311.3 579(5517 5798681 5800813 5802946 5805078 580720!) 733,3322 7;' 2.3 1.29 7323 ! 1-9 7321467 7.519i.;5f5 7317503 731:5,3:57 6923531 6925630 ( 9 2772!; 5929825 6934018 721.3.389 7211.0.3!) 720.051 1 70936,37 7091607 70895.3(5 7087:00 ! 70::.3!.3i 7083398 11 10 9 8 7 6 55 56 57 58 59 60 6549607 5551804 5554002 5556198 5560590 6680190 5689144 5691306 7111173 7439229 7437285 7435340 7433394 74-31 118 5809339 5811469 5813599 5815728 5817856 581! 1981- 6936114 6942398 6944491 6946584 7203191 7201 !7(5 7199457 H 97438 7195MJ5 7193398 7060776 706695:3 7069011 7071068 708:345 7079J91 7077236 7075180 707: 421 707106!? 5 4 3 2 / Co-sine. Sine. Co-sine. Sine. Co-sino. Sine. (Wine. Fiiio. Co-sino. Sine. / 49 48 47 46 45 DIFFERENCE OF LATITUDE AND DEPARTURE COURSE. DISTANCE 1. DISTANCE 2. DISTANCE 3. DISTANCE 4. DISTANCE 5. COURSE. Pts, D. Lat. Dcp. Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. D. Pts. 01 0| 0} 1 2 3 4 5 6 7 8 9 0.9998 0.9994 0.9988 0.9986 0.9976 0.9962 0.0175 0.0349 0.0491 0.0523 0.0698 0.0872 .9997 .9988 .9976 .9973 .9951 .9924 0.0349 0.0698 0.0981 0.1047 0.1395 0.1743 2.9995 2.9982 2.9964 2.9959 2.9927 2.9886 0.0524 0.1047 0.1472 0.1570 0.2093 0.2615 3.9994 3.9976 3.9952 3.9945 3.9903 3.9818 0.0698 0.1396 0.1963 0.2093 0.2790 0.348(5 4.9992 4.9970 4.9940 4.9931 4.9878 4.9810 4.9759 4,9726 4.9627 4.9513 4,9459 4.9384 0.0873 0.1745 0.2453 0.2617 0.34 ; I 0.4358 04901 0.5226 0.6093 0.6959 0,7337 0.7822 89 88 87 86 b'5 84 83 82 81 71 ?:} 0.9952 0.9945 0.9925 0.9903 0.9892 0.9877 0.0980 0.1045 0.1219 0.1392 0.1467 0.1564 1.9904 .9890 .9851 .9805 .9784 .9754 7%% .9633 .9616 .9563 .9487 .9406 0.1960 0.2091 0.2437 0.2783 0.2935 0.3129 2.9856 2.9836 2.9776 2.9708 2.9675 2.9631 0.2941 0.3136 0.3656 0.4175 0.4402 0.4693 3.9807 3.9781 3.9702 3.9(511 3.9567 3.9508 0.3921 0.4181 0.4875 0.5567 0.5869 0.6257 1 10 11 12 13 14 0.9848 0.9816 0.9808 0.9781 0.9744 0.9703 0.1736 0.1908 0.1951 0.2079 0.2250 0.2419 0.3J73 0.3816 0.3902 0.4158 0.4499 0.4838 2.9544 2.9-149 2.9424 2.934i 2.92.51 2.9109 0.5209 0.572 i 0.5853 0,6237 0,6749 0,7258 3.9392 3.9265 3.9231 3,9126 3.8975 3.8812 0.6946 0,7632 0.7804 0.8316 0.8998 0.9677 4.9240 4.9081 4.9039 4.8907 4,8719 4,8515 0.8682 0.9540 0.9755 .0396 .1248 .2096 80 79 78 77 76 7 11 1* 15 16 17 18 0.9700 0.9659 0.9613 0.9569 0.9563 0.9511 0.2430 0.2588 0.2756 0.2903 0.2924 0.3090 .9401 .9319 .9225 .9139 .9126 .9021 0.4860 0.5176 0.5513 0.5806 0.5847 0.6180 2.9101 2.8978 2.8838 2.8708 2.8689 2.8532 0.7289 0.7765 0.8269 0.8709 0.8771 0.9271 3.8801 3.8637 3.8450 3,8278 3,8252 3.8042 0.9719 1.0353 1.1025 1.1611 1.1695 1.2361 4.8502 4.8296 4.80(53 4,7847 4,7815 4.7553 .2119 .2911 .3788 .451 1 .4619 ,6451 .6278 .6844 .7101 .7918 1 .8730 1.9134 75 74 73 72 6| 6* 11 2 19 20 21 22 23 24 25 26 27 0.9455 0.9415 0.9397 0.9336 0.9272 0.9239 0.3256 0.3369 0.3420 0.3584 0.3746 0.3827 .8910 .8831 .8794 .8672 .8514 .8478 0.6511 0.6738 0.6840 0.7167 0.7492 0.7654 2.8366 2.8246 2.8191 2.8007 2.7816 2.7716 0.9767 .0107 .0261 ,0751 .1238 .1481 3.7821 3.7662 3.7588 3.7313 3.7087 3.6955 1,3023 1 .3476 1.3681 1.4335 1.4984 1 .5307 4,7276 4.7077 4.6985 4.6(57!) 4.6359 4,6191 71 70 69 68 (57 6 65 64 63 Gi 6 55 21 0.9205 0.9-135 0.9063 0.9040 0.8988 0.8910 0.3907 0.4067 0.4226 0.4276 0,4384 0.4540 .8410 .8271 .8126 .8080 .7976 .7820 0.7815 0.8135 0.8152 0.8551 0.8767 0.9080 2.7615 2.7406 2.7189 2.7120 2.69(54 2.6730 .1722 .2202 !2679 .2827 .3151 .3620 3.6820 3.6542 3.6252 3.6160 3.5952 3.5640 1 .5629 1.6269 1.6905 1.7102 1 .7535 1.8160 4,6025 4.5677 4.5315 4,5199 4,4940 4.4550 1.9537 2.0337 2.1131 2.1378 2.1919 2.2700 2i 2| 28 29 30 31 0.8829 0.8819 0.8746 0.8660 0.8577 0.8572 0.4695 0.4714 0.4848 0.5000 0.5141 0.5150 .7659 .7638 .7492 .7321 .7155 .7143 0.9389 0.9428 0.9696 1.0000 1 .0232 L0301 2.6488 2.6458 2.6239 2.5981 2.5732 2.5715 .4084 1,4142 1,4544 1.5000 1.5423 1.5151 3.5318 3.5277 3.4985 3.4641 3.4309 3.4287 1.8779 1.8856 1.9392 2.0000 2.0564 2.0602 4,4147 4.409(5 4,3731 4.3301 4.2886 4,2858 2.34-74 2.3570 2.4240 2.5000 2.5705 2.5752 62 61 (50 59 5 h % 5 3 32 33 34. 35 30 , 0.8180 0.8387 0.8.315 0.8-290 0.8192 0.8090 0.5299 0.5146 0.5556 0.5592 0.5736 0.5878 .6961 .6773 .6(529 .658] .6383 .6180 .0598 ,0893 .1111 .1184 .1 172 .1766 2.5141 2.5160 2.4944 2.4 JJ7] 2.4. r .75 2.IH1 1.5898 1 .6339 1 .6(567 1 .(5776 1 .7207 1.7634 .7871 .805 i .8470 .8880 .9032 .9284 3.3922 3.3547 3.3259 3.31(52 3.2766 3.2361 2.1197 2.1786 2.2223 2.2368 2.2943 2.3511 4.2402 4,1934 4.1573 4.1452 4.0958 4,0451 2.6496 2.7232 2.7779 2.7960 2.8679 2,9389 58 57 56 .55 64 31 3i 37 38 39 40 0.8032 0.7981 i 0.7880 0.7771 0.7730 0.7660 0.5957 0.6018 0.6157 0.6293 0.6344 0.6428 .6064 .5973 .5760 .55 13 .5160 .5321 .1914 .2036 .2313 .2586 5688 .2856 2.4096 2.5! )59 2.3640 2.331 i 2.31 DO 2.298J 3.2128 3.1945 3.1520 3.1G86 3.0920 3.0642 2.3823 2.4073 2.4626 2.5173 2.5376 2.5712 4.0160 3.9932 1 3.9401 3 !5H57 3.8650 3.8302 2.9785 3.0091 3.0783 3.1466 3.1720 3.2139 53 62 51 50 41 4$ 3^ 4 41 4-2 43 44 45 0.7547 0.7401 0.7410 0.7.11 I 0.7193 0.7071 0.6561 0.6691 0.6716 0.6820 0.6947 0.7071 .5094 .4803 .4819 .4627 .4387 .4112 .3121 .3383 .3131 .3610 1.3893 1.4142 2.2(54! 2.229 1- 2 222'i 2.1911 2.1580 2.1213 1 .9(582 2.007-!. 2.0117 2.0460 2.0810 2.1213 3.0 J88 2.9726 2.9638 2.9254 2.8774 2.8284 2.6242 2.6765 2.68(52 2.7280 2.7786 2.8284 3.7735 3.7157 3.7048 3.6568 3.5967 3.5355 3.2803 3.3457 3.3578 3.4100 ;'. r; t3 3J5356 i -I!) 4o 47 46 15 4 Pts. D. Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1,, Pis. COURSE. DISTANCE 1. DISTANCE 2. DISTANCE 3. DISTANCE 4. DISTANCE 5. CVu: H?Y. TO EVERY DEGREE AND QUARTER POINT. COURSE. DISTANCE 6. DISTANCE 7. DISTANCE 8. DISTANCE 9. DISTANCE 10. COURSE. Its. D. Lat. Dep. Lat. Dep. 0.1222 0.2443 0.3435 0.3664 0.4883 0.6101 Lat. Dep. Lat. Dep. Lat. Dep. D. Pts. OJ 2 3 4 5 5.9991 5.9963 5.9928 5.9918 5.9854 5.9772 0.1047 0.2094 0.2944 0.3140 0.4185 0.5229 6.9989 6.9957 6.9916 6.9904 6.9829 6.9734 7.9988 7.9951 7.9904 7.9890 7.9805 7.9696 0.1396 0.2792 0.3925 0.4187 0.5581 0.6972 0.7841 0.8362 0.9750 1.1134 1.1738 1.2515 8.9986 8.9945 8.9892 8.9877 8.9781 8.9668 0.1571 0.3141 0.4416 0.4710 0.6278 0.7844 9.9985 9.9939 9.9880 9,9863 9.9756 9.9619 0.1745 0.3!!K) 0.4907 0.5234 0.6976 0.871 G 89 88 87 86 85 ?! ftj 0| 6 7 8 9 5.9771 5.9671 5.9553 5.9416 5.9351 5.9261 0.5881 0.6272 0.7312 0.8350 0.8804 0.9386 6.9663 6.9617 6.9478 6.9319 6.9242 6.9138 6.8937 6.8714 6.8655 6.8470 6.8206 6.7921 0.6861 0.7317 0.8531 0.974-2 1.0271 1.0950 7.9615 7.9562 7.9 -U) !^ 7.9221 7.9134 7.9015 8.9567 8.9507 8.9329 8.9124 8.9026 8.8892 0.8822 0.9408 1.0968 1 .2526 1 .3206 1.4079 9.9518 9.9452 9.9255 9.9027 9.8918 9.8769 9.8481 9.8163 9:8079 9.7815 9.7437 9.7030 0.9802 1.0453 1.2187 1.3917 1.4673 L5643 84 83 82 81 7i 7i 1 10 11 12 13 14 5.9088 5.8898 5.8847 5.8689 5.8462 5.8218 1.0419 1.1449 1.1705 1.2175 1.3497 1.4515 1.2155 1.3357 1.3656 1.4554 1.5747 1:6935 7.8785 7.8530 7.8463 7.8252 7.7950 7.7624 1 .3892 1.5265 1.5607 1.6633 1.7996 1.9354 8.8633 8:8346 8.8271 8.8033 8.7693 8.7327 1.5628 1.7173 1.7558 1.8712 2.0246 2.1773 1.7365 1.9081 1.9509 2.0791 2.2495 2.4192 2.4298 2.5882 2.7562 2.9028 2.9237 3.0902 80 79 78 77 76 7 H i 15 16 17 18 19 20 21 22 5.8202 5.7956 5.7676 5.7416 5.7378 5.7063 1.4579 1.5529 1.6538 1.7417 1.7542 1.8541 6.7902 6.7615 6.7288 6.6986 6.6941 6.6574 1.7009 1.8117 1.9295 2.0320 2.0 1G6 2.1631 7.7602 7.7274 7.6901 7.6555 7.6504 7.6085 1.9438 2.0706 2.2051 2.3223 2.3390 2.4721 8.7303 8.6933 8.6513 8.6125 8.6067 8.5595 2.1868 2.329 { 2.4807 2.6126 2.6313 2.7812 9.7003 9.6593 9.6120 9.5694 9.5630 9.5106 75 74 73 72 71 70 69 68 6| G G* 6 5| i| 2 5.6731 5.6493 5.6382 5.6015 5.5631 5.5453 1.9534 2.0213 2.0521 2.1502 2.2476 2.2961 6.6186 6.5908 6.5778 6.5351 6.4903 6.4.672 2.2790 2.3582 2.3941 2.5086 2.6222 2.6783 7.5642 7.5324 7.5175 7.4686 7.4175 7.3910 2.6043 2.6951 2.7362 2.8669 2.9969 3.0615 8.5097 8.4739 8.4572 8.4022 8.3447 8.3149 2.9301 3.0320 3.0782 3.S253 3.3715 3.4442 9.4552 9.4154 9.3969 9.3358 9.2718 9.2388 3.2557 3.3689 3.4202 3.5837 3.74(51 3.8268 J 23 24 25 26 27 5.5230 5.4813 5.4378 5.4239 5.3928 5.3460 2.3444 2.4404 2.5357 2.5653 2.6302 2.7239 6.4435 6.3948 6.3442 6.3279 6.2916 6.2370 2.7351 2.8472 2.9583 2.9929 3.0686 3.1779 7.3640 7.3084 7.2505 7.2319 7.1904 7.1280 3.1258 3.2539 3.3809 3.4204 3.5070 3.6319 8.2845 8.2219 8.1568 8.1359 8.0891 8.0191 3.5166 3.6606 3.8036 3.8480 3.9453 4.0859 9.2050 9.1355 9.0631 9.0399 8.9879 8.9101 3.9073 4.0674 4,2262 4,2756 4.3837 4.5399 67 66 65 64 63 2* 21 28 29 30 31 S.29-/7 5.2915 5.2477 5.1962 5.1464 5.1430 2.8168 2.8284 2.9089 3.0000 3.0846 3.0902 6.1806 6.1734 6.1223 6.0622 6.0041 6.0002 3.2863 3.2998 3.3937 3.5000 3.5987 3.6053 7.0636 7.0554 6.9970 6.9282 6.8618 6.8573 3.7558 3.7712 3.8785 4.0000 4.1128 4,1203 4.2394 4.3571 4.4446 4.4735 4.588G 4.7023 7.9465 7.9373 7.8716 7.7912 7.7196 7.7145 4.2252 4.2426 4.3633 4.5000 4.6269 4.6353 4.7093 4.9018 5.0001 5.0327 5.1622 5.2901 8.8295 8.8192 8.7462 8.6603 8.5773 8.5717 4.6947 4.7140 4.8481 5.0000 5.1410 5.1504 62 61 60 59 5 5* 9 32 33 34 35 36 5.0883 5.0320 4.9888 4.9742 4.9149 4.8541 3.1795 3.2678 3.3334 3.3552 3.4415 3.5267 3.5742 3.6109 3.6940 3.7759 3.8064 3.8567 5.9363 5.8707 5.8203 5.8033 5.7341 5.6631 3.7094 3.8125 3.8890 3.9144 4.0150 4.1145 6.7844 6.7094 6.6518 6.6323 6.5532 6.4721 7.6324 7.5480 7.4832 7.4613 7.3724 7.2812 8.4805 8.3867 8.3147 8.2904 8.1915 8.0902 5.2992 5.4464 5.5557 5.5919 5.7358 5.8779 58 57 56 55 54 6 3i 3) 3| 4 37 38 39 40 4.8192 4.7918 4.7281 4.6629 4.6381 4.5963 5.6225 5.5904 5.5161 5.4400 5.4111 5.3(523 4.1699 4.2127 4.3096 4.4052 4.4408 4.4995 6.4257 6.3891 6.3041 6.2172 6.1811 6.1284 4.7656 4.8^45 4.9253 5.0346 5.0751 5.1423 7.2289 7.1877 7.0921 6.9943 6.9571 6.8944 5.3613 5.4163 5.5409 5.6639 5.7095 5.7851 8.0321 7.9864 7.8801 7.7715 7.7301 7.6604 5.9570 6.0182 6.1566 6.2932 6.3439 6.4279 53 52 51 50 49 48 47 46 45 4| *l 41 42 43 44 45 4.5283 4.4589 4.4457 4.3881 4.3160 4.2426 3.9363 4.0148 4.0294 4.0920 4.1680 4.2426 5.2830 5.2020 5.1867 5.1195 5.0354 4.9497 4.5924 4.6839 4.7009 4.7740 4,8626 4,9497 6.0377 5.9452 5.9276 5.8508 5.7547 5.6509 5.2485 5.3530 5.3725 5.4560 5.5573 5.6569 6.7924 6.6883 6.6686 6.5822 6.4741 6.3640 Dep. 5.9045 6.0222 6.0440 6.1380 6.2519 6.3640 7.5471 7.4314 7.4095 7.3135 7.1934 7.0711 6.5606 6.6913 6.7156 6.8200 6.9466 7.0711 Lat. 4* 4 Pts. Coui D. Dep. Lat. Dep. Lat. Dep. Lat. Lat. Dep. D. Pts. *SE. DISTANCE 6. DISTANCE 7. DISTANCE 8. DISTANCE 9. DISTANCE 10. COUKSE. MERIDIONAL PARTS. / ~0~ 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 9 1O 11 12 13 14 15 / 1 2 3 4 5 60 61 62 63 64 65 120 121 122 123 124 125 180 181 182 183 184 185 240 241 242 243 244 245 300 301 302 303 304 305 361 362 363 364 365 366 421 422 423 424 425 426 482 483 484 485 486 487 542 543 544 545 546 547 603 604 605 606 607 608 664 665 666 667 668 669 725 726 727 728 729 730 787 788 789 79( 791 792 848 850 851 85i. 853 854 910 911 913 914 915 916 1 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6(5 67 68 69 70 71 126 127 128 129 130 131 186 187 188 189 190 191 246 247 248 249 250 251 306 307 308 309 310 311 367 368 369 370 371 372 427 428 429 430 431 432 488 489 490 491 492 493 548 549 550 551 552 653 609 610 611 612 613 614 670 671 672 673 674 675 731 732 734 735 736 737 793 794 795 796 797 798 855 856 857 858 859 860 917 918 919 920 921 922 72 73 74 75 76 77 132 133 134 135 136 137 192 193 194 195 196 197 252 253 254 255 256 257 312 313 314 315 316 317 373 374 375 376 377 378 433 434 435 436 437 438 494 495 496 497 498 499 554 555 656 557 558 659 615 616 617 618 619 620 676 677 678 679 680 681 738 739 740 741 742 743 799 800 801 802 803 804 861 862 863 864 865 866 923 924 925 926 927 928 12 13 14 15 16 17 18 19 20 21 23 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34- 35 78 79 80 81 82 83 138 139 140 141 142 143 198 199 200 201 202 203 258 259 260 261 262 2G3 318 319 320 321 322 323 379 380 381 382 383 384 439 4/10 441 442 443 444 500 501 502 503 504 505 560 561 562 564 565 566 621 622 623 624 625 626 682 683 684 685 687 688 744 745 746 747 748 749 805 806 807 808 809 810 867 868 869 870 871 872 929 930 931 932 933 934 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 43~ 49 .50 51 52 53 54 55 56 57 58 59 84 85 86 87 88 89 144 145 146 117 148 149 204 205 206 207 208 209 264 265 266 267 268 269 324 325 326 327 328 330 385 386 387 388 389 390 415 446 447 448 449 450 506 507 508 509 510 511 567 568 569 570 571 572 627 628 629 631 632 633 689 690 691 692 693 694 750 751 752 753 754 755 811 812 8)3 815 816 817 873 874 875 876 877 878 935 936 937 938 939 941 942 943 944 945 946 947 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 1(5 47 i~8~ 4.9 50 51 52 53 90 91 92 93 94 95 150 151 152 153 154 155 210 211 212 213 214 215 270 271 272 273 274 275 331 332 333 334 335 336 391 392 393 394 395 396 451 452 453 454 455 456 512 513 514 515 516 517 573 574 575 576 577 578 634 635 636 637 638 639 695 696 697 698 699 700 756 757 758 759 760 761 813 819 820 821 822 823 824 825 826 827 ft28 829 879 880 882 883 884 885 30 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 / 96 97 98 99 100 101 156 157 158 159 160 161 216 217 218 219 220 221 276 277 278 279 280 281 337 338 339 310 341 342 397 398 399 400 401 402 457 458 459 4430 461 462 518 519 520 521 522 523 579 580 581 582 583 581 640 641 642 643 644 645 701 702 703 704 705 706 762 763 764 765 766 767 886 887 888 889 890 891 948 949 950 951 962 953 102 103 104. 105 106 107 162 163 164 1G5 166 167 222 223 224 225 226 227 282 283 284 285 286 287 343 344 345 316 347 318 403 404 405 406 407 408 463 464 465 466 467 468 524 525 526 527 528 529 585 586 587 588 589 590 646 647 64-8 649 650 651 707 708 709 710 711 712 768 769 770 771 772 773 830 831 832 833 834 835 892 893 894 895 896 897 954 955 956 957 958 959 108 109 110 111 112 113 168 169 170 171 172 173 228 229 230 231 232 233 288 289 290 291 292 293 349 350 351 352 353 354 409 410 411 412 413 414 469 470 471 472 473 474 530 531 5:32 533 534 535 591 692 593 691 595 696 652 653 654 655 656 657 713 714 715 716 717 718 774 775 777 778 779 780 836 837 838 839 840 841 K98 899 900 901 902 903 904 905 J06 907 JOS 909 14 9(50 961 962 968 964 965 114 115 116 117 118 119 174 175 176 177 178 179 234 235 236 237 238 239 294 295 296 297 298 299 355 356 357 358 359 360 415 416 417 418 419 420 476 477 478 479 480 481 536 537 538 539 540 541 597 698 599 (500 601 602 658 659 6(50 661 662 663 719 720 721 722 723 724 781 782 783 784 785 786 842 843 814 8*5 816 847 9(56 968 969 970 971 972 15 54 55 56 57 58 59 / 1 2 3 4 6 6 7 8 9 10 11 2 13 MERIDIONAL PARTS. / 16 973 974 975 97( 977 978 17 7035 1036 1037 1038 1039 1041 18 1098 1099 1100 1101 1102 1103 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1125 1126 1127 1128 1129 1130 nai 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1144 1.145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 11.59 1160 18 19 1161 1163 1164 1165 1166 1167 20 122i 1226 1227 1228 1229 1230 21 22 "1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1366 23 24 1484 1485 1486 1487 1488 1490 25 26 1616 1618 1619 1620 1621 1622 27 28 TTS" 175:, 1753 175o 1756 1757 1758 1759 1760 1761 1762 1764 1765 1766 1767 1768 1769 1770 29 30 / ~0 2 3 4 5 6 7 8- 9 10 11 72~ 13 14 15 16 17 7s 19 20 21 22 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 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 7 8 9 10 11 1289 1290 1291 1292 1293 1295 1296 1297 1298 1299 1300 1301 1419 1420 1421 1422 1423 1424 1550 1551 1552 1553 1554 1556 1684 1685 1686 1687 1688 1689 1819 1821 1822 1823 182- 182 1826 1827 1829 1830 1831 183L 1888 1890 189 1892 1893 1894 Tib 1896 1898 1899 1900 1901 979 980 981 982 983 984 ~985 986 987 988 989 990 991 993 994 995 996 997 998 999 1000 1001 1002 1003 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1232 1233 1234 1235 1236 1237 7238 1239 1240 1241 1242 1243 1244 1245 1246 1248 1249 1250 1425 1426 1427 1428 1430 1431 1432 1433 1434 1435 1436 1437 1491 1492 1493 1494 1495 1496 1557 1558 1559 1560 1561 1562 1623 1624 1625 1626 1628 1629 1690 1691 1693 1694 1695 16% 12 13 14 15 16 17 TfT 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36~ 37 38 39 40 41 42 43 44 45 46 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41 7548 7553 7557 7562 7566 7571 8480 8486 8492 8498 8504 8510 8516 8522 8528 8534 8540 8546 8856 8863 8869 8876 8883 8889 8896 8903 8909 8916 8923 8930 8936 8943 8950 8957 8963 8970 10978 10990 11002 11014 11027 11039 11801 11816 11832 11848 11863 11879 12885 12906 12927 12949 12971 12992 14475 14509 14543 14578 14613 14648 17526 17609 17691 17781 17870 17962 7311 7315 7319 732.5 7328 7332 7336 7311 7345 73 19 7353 7358 "7362 7366 7371 7375 7379 7381 7576 7580 7585 7589 7594 7599 7603 7608 7612 7617 7622 7626 7631 7636 7640 7645 7650 7654 7862 7867 7872 7877 7882 7887 7892 7897 7902 7907 7912 7917 "7922 7927 7932 7937 7!) 12 7948 8174 8179 8185 8190 8196 8201 8207 8212 8218 8223 8229 8234 8240 8245 8251 8256 82(52 8267 9322 9330 9337 9345 9353 9360 9368 9376 9383 9391 11399 9407 9809 9817 9826 9836 9811 9852 9861 9870 9879 9888 9897 9906 11052 11064 11077 11089 11102 11115 11127 11140 11153 11166 11179 11192 11895 11911 11927 11943 11959 1197(5 11992 12008 12025 12041 12058 12075 13014 13037 13059 13081 13104 13126 13149 13172 13195 13219 13242 13266 14684 14720 14756 14793 14830 14S68 14906 1 1914 14983 15022 15062 15102 15143 15184 15226 15268 15311 15354 18056 18153 18252 18355 18461 18570 18683 18799 18920 190-45 19174 19309 19449 195! 16 19749 19908 20076 20252 8552 8558 8565 8571 8577 8583 8589 8595 8601 8607 8614 8620 8977 8984 8991 8998 9005 9012 9414 9422 9130 9458 9145 9153 9915 9924 9933 9912 9951 9960 11205 11218 11231 11214 11257 11270 12092 12109 1212(5 12143 12160 12177 13290 13314 13338 13362 13387 13411 42 43 44 45 46 47 48 48 50 51 52 53 54 55 66 57 58 59 / 7388 7392 7397 7401 7106 7410 7659 7664 7668 7673 7678 7683 7687 7692 7697 7702 7706 7711 7716 7721 7725 7730 7735 7740 77 7953 7958 7963 7968 7973 7978 7983 7989 7994 7999 8004 8009 8014 fiO'20 8025 8030 8035 8040 78 8273 8279 8281 8290 8295 8301 862(5 8632 8638 8641 8651 8657 9018 9025 9032 9039 9046 9053 9161 916!) 9177 9485 9493 9501 9969 9978 9987 999(5 10005 10015 10024 10033 10043 10052 10061 10071 10564 10575 10586 10597 10608 10619 11284 11297 11310 11324 11338 11351 11365 11378 11392 1 1 106 11420 11431 l7448 11462 11476 11490 1 1504 11518 85 12194 12212 12229 12247 12265 12282 13436 1346! 13486 13512 13537 135(53 15398 15112 15187 15533 15579 15625 20439 20635 20813 21065 21302 21557 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7414 7419 7423 7427 7432 7136 744? 71-15 74 19 7454 7458 7463 76 8307 8312 8318 8324 8329 8335 8311 8347 8352 8358 8361. 8369 79 8663 8669 8676 8682 8688 8695 8701 8707 8714 8720 8726 :;7;53 80 9060 9067 9074 9081 9088 9096 9103 9110 9117 9124 9131 9138 81 9509 9517 9525 9533 9541 9549 9557 95(55 9573 9581 958!) 9598 10630 10641 10(552 10663 10674 10685 10696 10708 10719 10730 10742 10753 12300 12318 12336 12354 12373 12391 12409 l'24-2f 5 12446 12465 12481- 12503 86 13589 13615 13641 13668 13694 13721 15673 15721 15770 15819 15869 15920 21832 22132 22459 22821 23226 23685 10080 10089 10099 10108 101 18 10127 83 13749 13776 13804 13832 13860 13888 15972 16025 16078 16132 16187 16243 88 24215 21842 25609 26598 27992 30375 82 84 87 89 / ASTRONOMICAL REFRACTIONS, when the Barometer is at 30.0 English Inches, and Fahren- heit's Thermometer at 55, or when the Barometer is at 2J.6. and Fahrenheit's Thermometer at 50 ; with the SUN'S PARALLAX. Parallax of the Sun in a Vertical Cir- cle. < 1 Q j 1 ti ! F =r ^ ~~ 11 =3 = 2 5 .: ?! 15 || sN o H "5 .j < 1 ^ si p go- ld Si I = ! 'c 111 .= ! ='J 1 i jfl> c ts 8 < 8 1 *i |S 11 1 II * . O G sl fc^j .*; SJ* .= s 11 & Ze- nith Dis- tance. 3 6 9 12 15 Sun'j P.iral- lax. = a . ~ - 2 II .s 1 11 0.0 0.4 0.9 1.4 1.8 2.3 o yo 89 88 87 86 85 O 1 2 3 4 5 / // 0.0 1.0 2.0 3.0 4,0 5.0 a 0.0 0.0 0.1 0.1 0.1 0.2 II 0.0 0.0 0.1 0.1 0.2 0.2 o 60 59 58 57 '56 55 30 31 32 33 34 35 / // 33.1 31,4 35.8 37.2 38.7 40.2 // 1:0 1.0 1.1 1;1 1:2 1 2 n 1.5 1.5 1.6 1.7 1.7 1.8 30 29 28 27 26 25 60 61 62 63 64 65 i n 1 39.0 1 43.2 1 47.6 1 5 1 2.3 1 57.2 2 2.4 n 2.9 3.0 3.1 3.2 3.4 3.5 n 4.5 4.7 4.