NOT THIS BOOK IS THE PROPERTY A OF he College of the ffittjt of $eui . It is loaned to the Student, and^lscnargeato him on the books of the College, at its cost price. Marking or interlining this book with ink or pencil, is strictly forbidden. If it be so defaced by any Student, or while in his charge, the full price of the book will be collected from him by the Registrar, and the book will become the property of the offender. If it be shown that this book has been wilfully damaged, the Student will be punished for the offence. ,-D ffimM Each Student, on the receipt of this book, will enter his name and section, in ink, on the first UNOCCUPIED LINE. V TABLES LOGARITHMS OF NUMBERS AND OF SUES AID TANGENTS FOR EVERT TEN SECONDS OF THE QUADRANT, WITH OTHER USEFUL TABLES. BY EL I AS LOOM IS, LL.D., FBOFESSOE OF NATCBAL PHILOSOPHY A?!D A6TEONOMY IN YALE COLLEGE, AND AUTH03 OF A " COCEljE OF MATHEMATICS." T II I 11 T V-S I X T H EDITION NEW-YORK: HARPER & BROTHERS, PUBLISHERS, 329 & 331 PEARL STREET, FRANKLIN SQUARE. 1879. Ei'-tored acccrdir.g to Act of Congress, in the year one thousand eight hundred and fcrty-ei^ht, by Harper & Brothers, m tne Clerk's Office of the District Court of the Southern District of New York. CONTENTS. Pgo EXPLANATION OF THE TABLES V TADLE OF LOGARITHMS OF NUMBERS 1 LOGARITHMIC SINES AND TANGENTS 21 NATURAL SINES AND TANGENTS . . ... 116 NATURAL SECANTS 1 34 LENGTHS OF CIRCULAR ARCS 135 TRAVERSE TADLE . 130 MERIDIONAL TARTS 142 CORRECTIONS TO MIDDLE LATITUDE 149 LOGARITHM? FOR COMPOUND INTEREST, ETC . . . , . 150 P E E B A C E. The accompanying tables were designed to afford the means of per- forming trigonometrical computations with facility and precision. The tables chiefly used in this country for purposes of education extend to six decimal places, like those in the present collection ; but the pre- cision which they are designed to furnish is only attained by a serious expenditure of labor. In the Table of Logarithms of Numbers they do not furnish the correction for a fifth figure in the natural number, and the labor of computing this correction is such that I always prefer the use of Hutton's Tables, extending to seven places, even in computations to which six-place logarithms are abundantly competent. In the pres- ent collection, the correction for a fifth figure of the natural number is introduced at the bottom of each page, and the table is thus rendered nearly as useful as one of the common kind extending to 100,000. The whole has been carefully compared with standard authors, and nearly a dozen errors have thus been detected in the common tables. The principal table in this collection is that of Logarithmic Sines and Tangents. The common tables in this country extend only to minutes, with differences to 100". If, in a trigonometrical computation, angles are only required to the nearest minute, tables to five places are quite sufficient ; but if the computation is to be carried to seconds, these can only be obtained from the common tables by a great expenditure of time and labor. In the present collection, the sines and tangents are fur- nished to every ten seconds of the quadrant, and at the bottom of each page is given the correction for any number of seconds less than ten, so that the precision of seconds can be obtained with almost the same fa- cility as that of minutes with the tables in common use. Moreover, near the limits of the quadrant, by means of an auxiliary table, sines and tangents are readily obtained, even for a fraction of a second. The method of arrangement of the sines and tangents was suggested by a table in Mackay's Longitude ; but the errors of that table, amounting to several thousand, have been corrected by a careful comparison with the work of Ursinus. By comparison with the same standard, more than two hundred errors (chiefly in the final figures) have been detected in the tables in common use. The Table of Natural Sines and Tangents is of less use than thelo^a- rithmic ; nevertheless, it is often important for reference, particularly in analytical geometry and the calculus ; and it is useful as a stepping- stone to assist the beginner in comprehending the nature of logarithmic 'v **' " -'Preface. sines and tangents. The Traverse Table commonly used in this country furnishes the latitude and departure to every quarter degree of the quad- rant, for distances from 1 to 100, and occupies ninety pages. The accom- panying table occupies but six pages, and yields ten times greater pre- cision. The Table of Meridional Parts extends to tenths of a mile, and great care has been taken to insure its accuracy. For this purpose, I have compared all the similar tables within my reach, and among them have found two which appeared to have been computed independently. Be- tween them there were detected 674 discrepancies in the final figures. These cases were all recomputed, and 78 errors were detected in the best copy compared. It is probable that the numbers in this table are not in every instance true to the nearest tenth of a mile ; but it is be- lieved that the remaining errors are few in number, as well as minute. This table is confidently pronounced more accurate than any similar one with which I have been able to compare it. The Table of Corrections to Middle Latitude was computed entirely anew. The corresponding table in common use, which was originally' computed by Workman, contains more than four hundred errors, sev- eral of them amounting to two minutes. On the whole, it is believed that the accompanying tables will be fcund more convenient to the computer than any tables of six decimal places hitherto published in this country ; and that they will be pro- nounced sufficiently extensive for all purposes of academic and cohegi- ate instruction, as well as for practical mechanics and surveyors. EXPLANATION OF THE TABLES, Table of Logarithms of Numbers, pp. 1-20. Logarithms are numbers contrived to diminish the labor of Multiplica- tion and Division by substituting in their stead Addition and Subtrac- tion. All numbers are regarded as powers of some one number, which is called the base of the system ; and the exponent of that power of the base which is equal to a given number, is called the logarithm of that number. The base of the common system of logarithms (called, from their in- ventor, Briggs' logarithms) is the number 10. Hence all numbers are to be regarded as powers of 10. Thus, since 10= 1, is the logarithm of 1 in Briggs' system ; lO^lO, 1 " " 10 " " 10 a =l00, 2 " " 100 10 s =1000, 3 " " 1000 " 10 4 = 10,000, 4 " " 10,000 " &c, &c, &c. ; whence it appears that, in Briggs' system, the logarithm of every num- ber between 1 and 10 is some number between and 1, i. e., is a prop- er fraction. The logarithm of every number between 10 and 100 is some number between 1 and 2, z. e., is 1 plus, a fraction. The loga- rithm of every number between 100 and 1000 is some number between 2 and '3, i. e., is 2 plus a fraction, and so on. The preceding principles may be extended to fractions by means of negative exponents. Thus, since 10 -1 -0.1, 1 is the logarithm of 0.1 in Briggs' system 1(T 2 =0.01, 2 M a 0.01 <( u 10" 3 =0.001, 3 a it 0.001 a a 10" 4 = 0.0001, 4 a a 0.0001 u ii &c, &C, &C. Hence it appears that the logarithm of every number between 1 and 0.1 is some number between and 1, or may be represented by 1 plus a fraction; the logarithm of every number between 0.1 and .01 is some number between 1 and 2, or may be represented by - 2 plus vi Explanation op the Tables. a traction ; the logarithm of every number between .01 and .001 is some number between 2 and 3, or is equal to 3 plus a fraction and so on. The logarithms of most numbers, therefore, consist of arn integer and a fraction. The integral part is called the characteristic, and may be known from the following Rule. The characteristic of the logarithm of a number greater than unity, vs one less than the number of integral figures in the given number. Thus the logarithm of 297 is 2 plus a fraction ; that is, the character- istic of the logarithm of 297 is 2, which is one less than the number oi integral figures. The characteristic of the logarithm of 5G73.29 is 3 ; that of 73254.1 is 4, &c. The charactej-istic of the logarithm of a decimal fraction is a negative number, and is equal to the number of places by which its first significant figure is removed from the place of units. Thus the logarithm of .0040 is 3 plus a fraction; that is, the char- acteristic of the logarithm is 3, the first significant figure 4 being removed three places from units. The accompanying table contains the logarithms of all numbers from 1 to 10,000 carried to G decimal places. To find the Logarithm of any Number between 1 and 100. Look on the first page of the table, along the column of numbers undei N, for the given number, and against it, in the next column, will be found the logarithm, with its characteristic. Thus, opposite 13 is 1.113943, which is the logarithm of 13; 05 is 1.812913, " " 05. To find (hi Logarithm of any Number consisting of three Figures. Look on one of the pages from 2 to 20, along the left-hand column marked N, for the given number, and against it, in the column headed 0, will be found the decimal part of its logarithm. To this the character- stic must be prefixed, according to the rule already given. Thus the logarithm of 347 will be found, from page 8, to be 2.540329 ; " 871 " " " 18, " 2.940018. As the first two figures of the decimal are the same for several suc- cessive numbers in the table, they are not repeated for each logarithm separately, but are left to be supplied. Thus the decimal part of th<; logarithm of 339 is .530200. The first two figures of the decimal remain the same up to 347 ; they are therefore omitted in the table, and are to be supplied. To find the Logarithm of any Number consisting of four Figures. Find the three left-hand figures in the co'umn marked N as before, Explanation op the Tables. vii and the fourth figure at the head of one of the other columns. Opposite to the first three figures, and in the column under the fourth figure, will he found four figures of the logarithm, to which two figures from the column headed are to be prefixed, as in the former case. The char- acteristic, must be supplied by the usual rule. Thus the logarithm of 345G is 3.538574 ; " 8765 is 3.942752. In several of the columns headed 1, 2, 3, &c, small dots are found in the place of figures. This is to show that the two figures which are to be prefixed from the first column have changed, and they are to be taken from the horizontal line directly below. The place of the dots is to be supplied with ciphers. Thus the logarithm of 2045 is 3.310693 : " 9777 is 3.990206. The two leading figures from the column must also be taken from the horizontal line below, if any dots have been passed over on the same horizontal line. Thus the logarithm of 1628 is 3.211654. To find the Logarithm of any Number containing more than four Figures. By inspecting the table, we shall find that within certain limits the log- arithms are nearly proportional to their corresponding numbers. Thus the logarithm of 7250 is 3.860338 ; " " 7251 is 3.860398 ; " 7252 is 3.860458 ; " " 7253 is 3.860518. Here the difference between the successive logarithms, called the tabular difference, is constantly 60, corresponding to a difference of unity in the natural numbers. If, then, we suppose the logarithms to be pro- portional to their corresponding numbers (as they are nearly), a differ- ence of 0.1 in the numbers should correspond to a difference of 6 in the logarithms ; a difference of 0.2 in the numbers should correspond to a difference of 12 in the logarithms, &c. Hence the logarithm of 7250.1 must be 3.860344 ; " 7250.2 " 3.860350; " 7250.3 " 3.860356; &c, &c. In order to facilitate the computation, the tabular difference is insert- sd on page 16 in the column headed D, and the proportional part for the fifth figure of the natural number is given at the bottom of the page. Thus, when the tabular difference is 60, the corrections for .1, .2, .3, &c, are seen to be 6, 12, 18, &e. If the given numbei was 72501, the characteristic of its logarithm would be 4, but the decimal part would be the same- as for 7250.1.. Vll 1 Explanation of the Tables. If it were required to find the correction for a sixth figure in the nat- ural number, it is readily obtained from the Proportional Parts in the table. Thus, if the correction for .5 is 30, the correction for .05 is ob- viously 3. As the differences change rapidly in the first part of the table, it was found inconvenient to gi^e the proportional parts for each tabuloi difference ; accordingly, for the first seven pages they are only given for the even differences, but the proportional parts for the odd differences will be readily found by inspection. Required the logarithm of 452789. The logarithm of 452700 is 5.655810 The tabular difference is 96. Accordingly, the correction for the fifth figure, 8, is 77, and for the sixth figure, 9, is 8.6, or 9 nearly. Adding these corrections to the num- ber before found, we obtain 5.655896. The preceding logarithms do not pretend to be perfectly exact, but only the nearest numbers having but six decimal places. Accordingly, when the fraction which is omitted exceeds half a unit in the sixth deci- mal place, the last figure must be increased by unity. Required the logarithm of 8765432. The logarithm of 8765000 is 6.942752 Correction for the fifth figure 4, 20 " " sixth figure 3, 1.5 " " seventh figure 2, 0.1 Therefore the logarithm of 8765432 is 6.942774. Required the logarithm of 234567. The logarithm of 234500 is 5.370143 Correction for the fifth figure 6, 111 " sixth figure 7, 13 Therefore the logarithm of 234567 is 5.370267. To find the Logarithm of a Decimal Fraction. The decimal part of the logarithm of any number is the same as that of the number multiplied or divided by 10, 100, 1000, &c. Hence, for a decimal fraction, we find the logarithm as if the figures were integers, and prefix the characteristic according to the usual rule. Examples. The logarithm of 345.6 is 2.538574 " " 87.65 is 1.942752 " 2.345 is 0.370143 M .1234 is 1.091315 " .005678 is 3.754195. Explanation of the ableh ix The minus sign is placed over the characteristic to show that this alone is negative, while the decimal part of the logarithm is positive. To find the Logarithm of a Vulgar Fraction. We may reduce the vulgar fraction to a decimal, and find its loga- rithm by the preceding rule ; or, since the value of a fraction is equal to the quotient of the numerator divided by the denominator, we may sub- tract the logarithm of the denominator from that of the numerator; the difference will be the logarithm of the quotient. Required the logarithm of T 3 g, or 0.1875. From the logarithm of 3, 0.477121, Subtract the logarithm of 16, 1.204120. Leaves logarithm of T \, or .1875, 1.273001. Tn the same manner we find the logarithm of / ? is 2.861697 ; " jff is 1.147401. To find the natural Number corresponding to any Logarithm. Look in the table in the column headed for the first two figures of the logarithm, neglecting the characteristic ; the other four figures are to be looked for in the "same column, or in one of the nine following col- umns ; and if they are exactly found, the first three figures of the corre- sponding number will be found opposite to them in the column headed N, and the fourth figure will be found at the top of the page. This num- ber must be made to correspond with the characteristic of the giver, logarithm by pointing off decimals or annexing ciphers. Thus the natural number belonging to the logarithm 4.370143 is 23450 ; " " " " 1.538574 is 34.56. If the decimal part of the logarithm can not be exactly found in the table, look for the nearest less logarithm, and take out the four figures of the corresponding natural number as before ; the additional figures maybe obtained by means of the Proportional Parts at the bottom of the page. Required the number belonging to the logaiithm 4.368399. On page 6, we find the next less logarithm .368287. The four corresponding figures of the natural number are 2335. Their logarithm is less than the one proposed by 112. The tabular difference is 186; and, by referring to the bottom of page 6, we find that, with a difference of 186, the figure corresponding to the Piopor- tional Part 112 is 6. Hence the five figures of the natural number are 23356 ; and, since the characteristic of the proposed logarithm is 4, these five figures are all integral. Required the number belonging to logarithm 5.345678. The next less logarithm in the table is .345570 Their difference is 108. x Explanation of in e Tables. The first four figures of the natural numter'are 2210. With the tabular difference 196, the fifth figure corresponding to 108 s seen tc be 5, with a remainder of 10, which furnishes a sixth figure 5 nearly. Hence the required number is 221655. In the same manner we find the number corresponding to logarithm 3.538672 is 3456.78 ; " " 1.994605 is 98.7654; " " " T.647817 is .444444. Table of Natural Sines and Tangents, pp. 116133. This is a table of natural sines and tangents for every degree and minute of the quadrant, carried to six places of figures. Since the ra- dius of the circle is supposed to be unity, the sine of every arc below 90 is less than unity. These sines are expressed in decimal parts of the radius ; and, although the decimal point is not written in the table, it must always be prefixed. The degrees are arranged in order at the top of the page, and the minutes in the left hand vertical column. Directly under the given number of degrees at the top of the page, and opposite to the minutes on the left, will be found the sine required. The two leading figures are repeated at intervals often minutes. Thus the sine of 6 27' is .112336 ; " 28 53' is .483028. The same number in the table is both the sine of an arc and the co- sine of its complement. The degrees for the cosines must be sought at the bottom of the page, and the minutes on the right. Thus the cosine of 62 25' is .463038 ; " 8 4 23' is .097872. If a sine is required for an arc consisting of degrees, minutes, and sec- onds, it may be found by means of the line at the bottom of each page, which gives the proportional part corresponding to one second of arc. Required the sine of 8 9' 10". The sine of 8 9' is .141765. By ieferring to the bottom of page 116. in the column under 8, we find the correction for 1" is 4.80 ; hence the correction for 10" must be 48, which, added to the number above found, gives for the sine of 8 9' 10", .141813. In the same manner we find the cosine of 56 34' 28" is .550853. It will be observed, that since the cosines decrease while the arcs in- crease, the correction for the 28" is to be subtracted from the cosine of 56 34'. The arrangement of the table of natural tangents is similar to that of the table of sines. The tangents for arcs less than 45 are all less thac radius, and consist wholly of decimals. For arcs above 45, the tan- gents are all gi eater than radius and contain both integral and decima Explanation of the Tables. xi figures. The proportional parts at the bottom of each page enable us readily to find the correction for seconds. Thus the natural tangent of 32 29' 18" is .636784 ; " " 74 3 35' 55" is 3.63014. To find the Number of Degrees, Minutes, and Seconds belonging to a given Sine or Tangent. If the given sine or tangent is found exactly in the table, the corre- sponding degrees will be found at the top of the page, and the minutes on the left hand. But when the given number is not found exactly in the table, look for the sine or tangent which is next less than the pro- posed one, and take out the corresponding degrees and minutes. Find, also, the difference between this tabular number and the number pro- posed, and divide it by the proportional part for 1" found at the bottom of the page ; the quotient will be the required number of seconds. Required the arc whose sine is .750000. The next less sine in the table is .749919, the arc corresponding to which is 48 35'. The difference between this sine and that proposed is 81, which, divided by 3.21, gives 25. Hence the required arc is 48 c 35' 25". In the same manner we find the arc whose tangent is 2.000000, to be 63 26' 6". f Table of Natural Secants, pp. 134-5. This is a table of natural secants for every ten minutes of the quad- rant carried to seven places of figures. The degrees are arranged in order in the first vertical column on the left, and the minutes at the top of the page. Thus the secant of 21 20' is 1.073561 ; " 81 50' is 7.039622. If a secant is required for a number of minutes not given in the table, the correction for the odd minutes may be found by means of the last vertical column on the right, which shows the proportional part for one minute. Let it be required to find the secant of 30 33'. The secant of 30 30' is 1.160592. The correction for 1' is 198.9, which, multiplied by 3, gives 597. Adding this to the number before found, we obtain 1.161189. For a cosecant, the degrees must be sought in the right-hand vert/eal column, and the minutes at the bottom of the page. Thus the cosecant of 47 40' is 1.352742. Table of Logarithmic Sines and Tangents, pp. 21-115. This is a table of the logarithms of the sines and tangents for every ten seconds of the quadrant, carried to six places of decimals The de xii Explanation of the Tables. grees and seconds are placed at the top of the page, and the minutes in the left vertical column. After the first two degrees, the three leading figures in the table of sines are only given in the column headed 0", and are to be prefixed to the numbers in the other columns, as in the table of logarithms of numbers. Also, where the leading figures change, this change is indicated by dots, as in the former table. The correction fcr any number of seconds less than 10 is given at the bottom of the page. To find the Logarithmic Sine or Tangent of a given Arc. Look for the degrees at the top of the page, the minutes on the left hand, and the next less tenth second at the top ; then, under the seconds, and opposite to the minutes, will be found four figures, to which the three leading figures are to be prefixed from the column headed 0" ; to this add the proportional part for the odd seconds from the bottom of the page. Required the logarithmic sine of 24 27' 34". The logarithmic sine of 24 27' 30" is 9.617033. Proportional part for 4" is 18. Logarithmic sine of 24 27' 34" is 9.617051. This is the logarithm of .414049 found in the table of natural sines on page 120. The natural sine being less than unity, the characteristic of its logarithm is negative. Tc obviate this inconvenience, the char- acteristics in the table nave all been increased by 10 ; or the logarith- mic sines may be regarded as the logarithms of natural sines computed for a radius of 10,000,000,000. Required the logarithmic tangent of 73 35' 43". The logarithmic tangent of 73 35' 40" is 10.531031. Proportional part for 3" is 23. Logarithmic tangent of 73 35' 43" 10.531054. When a cosine is required, the degrees and seconds must be sought at the bottom of the page, and the minutes on the right, and the correc- tion for the odd seconds must be subtracted from the number in the table. Required the logarithmic cosine of 59 33' 47". The logarithmic cosine of 59 33' 40" is 9.704682. Proportional part for 7" is 25. Logarithmic cosine of 59 33' 47" is 9.704657. So, also, the logarithmic cotangent of 37 27' 14" is found to be 10.115744 The proportional parts given at the bottom of each page correspond to the degrees at the top ol the page increased by 30', and are not strictly applicable to any other number of minutes ; nevertheless, the differences of the sines change so slowly, except near the commence- ment of the quadrant, that the error resulting from using these numbers for every part of the page will seldom exceed a unit in the sixth deci- mal place. For the firs' two degrees, the differences change so rapidly EXFIANATION OF THE TABLES. xiii hat the proportional part for 1" is given for each minute in the right- hand column of the page. The correction for any number of seconds less than ten will be found by multiplying the proportional part for 1" by the given number of seconds. Required the logarithmic sine of 1 17' 33". The logarithmic sine of 1 17' 30" is 8.352991. The correction for 3" is found by multiplying 93.4 by 3, which gives 280. Adding this to the above tabular number, we obtain the sine of 1 17' 33", 8.353271. A similar method may be employed for several of the first degrees of the quadrant, if the proportional parts at the bottom of the page are not thought sufficiently precise. This correction may, however, be ob- tained pretty nearly by inspection from comparing the proportional parts for two successive degrees. Thus, on page 26, the correction for 1", corresponding to the sine of 2 30', is 48 ; the correction for 1", cor- responding to the sine of 3 30', is 34. Hence the correction for 1", corresponding to the sine of 3 0', must be about 41 ; and in the same manner we may proceed for any other part of the table. Near the close of the quadrant, the tangents vary so rapidly, that the same arrangement of the table is adopted as for the commencement of the quadrant. For the last as well as the first two degrees of the quad- rant, the proportional part to 1" is given for each minute separately. These proportional parts are computed for the minutes placed opposite to them, increased by 30' , and are not strictly applicable to any other number of seconds ; nevertheless, the differences for the most part change so slowly, that the error resulting from using these numbers foi every part of the same horizontal line is quite small. When great ac- curacy is required, the table on page 114 may be employed for arcs near the limits of the quadrant. This table furnishes the differences be- tween the logarithmic sines and the logarithms of the arcs expressed in seconds. Thus the logarithmic sine of 5' is 7.1G269G ; the logarithm of 300" (=5') is 2.477121 ; the difference is 4.G85575. This is the number found on page 114, under the heading log. sine A log. A", opposite 5 min. ; and in a similar manner the other numbers in the same column are obtained. These numbers vary quite slowly for two degrees ; and hence, to find the logarithmic sine of an arc less than two degrees, we have but to add the logarithm of the arc expressed m seconds to the appropriate number found in this table. Required the logarithmic sine of 7' 22' - . ' Tabular number from page 1 ] 4, 4.685575. The logarithm of 442" is 2.64542? Logarithmic, sine of 7' 22" is 7.330997. xiv Explanation of the Tables. The logarithmic tangent of an arc less than two degrees is found in a similar manner. Required the logarithmic tangent of 27' 30". Tabular number from page 114, 4.685584. The logarithm of 1656" is 3.219060. Logarithmic tangent of 27' 36" is 7.904644. The column headed log. cot. A-\-log. A" is found by adding the log- arithmic cotangent to the logarithm, of the arc expressed in seconds. Hence, to find the logarithmic cotangent of an arc less than two degrees, we must subtract from the tabular number the logarithm of the arc in seconds. Required the logarithmic cotangent of 27' 36". Tabular number from page 114, 15.314416. The logarithm of 1656" is 3.219060. Logarithmic cotangent of 27' 36" is 12.095356. The same method will, of course, furnish cosines and cotangents ot arcs near 90. The secants and cosecants are omitted in this table, since they are easily derived from the cosines and sines. The logarithmic secant is found by subtracting the logarithmic cosine from 20 ; and the logarithmic cosecant is found by subtracting the loga- rithmic sine from 20. Thus we have found the logarithmic sine of 24 27' 34" to be i>. 617051. Hence the logarithmic cosecant of 24 27' 34" is 10.382949. The logarithmic cosine of 54 12' 40" is 9.767008. Hence the logarithmic secant of 54 12' 40" is 10.232992. To find the Arc corresponding to a given Logarithmic Sine or Tangent. If the given number is found exactly in the table the corresponding degrees and seconds will be found at the top of the page, and the min- utes on the left. But when the given number is not found exactly in the table, look for the sine or tangent which is next less than the pro-, posed one, and take out the corresponding degrees, minutes, and sec onds. Find, also, the difference between this tabular number and the number proposed, and, corresponding to this difference, at the bottom of the page will be found a certain number of seconds, which is to be added to the arc before found. Required the arc corresponding to the logarithmic sine 9.750000. The next less sine in the table is 9.749987. The arc corresponding Jo which is 34 13' 0". The difference between its sine and the one proposed is 13, corre- sponding to which, at the bottom of the page, we find 4" nearly. Hence the required arc is 34 13' 4". Explanation of the Tables. xv In the same manner we find the arc corresponding to logarithmic tan- gent 10.250000, to be 00 38' 57". When the arc falls within the first two degrees of the quadrant,, the odd seconds may be found by dividing the difference between the tab- ular number and the one proposed, by the proportional part for 1". We mus find the arc corresponding to logarithmic sine 8.400000, to be 1 26' 22'' nearly. We may employ the same method for the last two degrees of the quadrant when a tangent is given ; but near the limits of the quadrant it is better to employ the auxiliary table on page 114. If we subtract the corresponding tabular number on page 114 from the given logarith- mic sine, the remainder will be the logarithm of the arc expressed in seconds. Required the arc corresponding to logarithmic sine 7.000000. We see, from page 22, that the arc must be nearly 3' ; the correspond- ing tabular number on page 114 is 4.685575. The difference is 2.314425; which is the logarithm of 206."265. Hence the required arc is 3' 26."265. In the same manner we find the arc corresponding to logarithmic langent 8.184608, to be 52' 35". Table for the Lengths of Circular Arcs, p. 135. This table contains the lengths of every single degree up to 60, and at intervals often degrees up to 180 ; also for every minute and second up to 20. The lengths are all expressed in decimal parts of radius. Required the length of an arc of 57 17' 44ps.l Take out from their respective columns he lenMhs answering to each of these numbers singly, and add them afl togemer thus: 57 .... . / . 0.9948377 17' ..../. .0049451 40" . . ... .0001939 4" 0000194 0."8 0000039 The sum is 1.0000000. That is, the length of an arc of 57 17' 44."8 is equal to the radius of the circle. Traverse Table, pp. 136-141. This table shows the difference of latitude and the departure to four decimal places for distances from 1 to 10, and for bearings from to 90, at intervals of 15'. If the bearing is less than 45, the angle will be found on the left margin of one of the pages of the table, and the dis- tance at the top or bottom of the page ; the difference of latitude will xvi Explanation of the Tables. be found in the column headed lat. at the top of the page, and the de- parture in the column headed dep. If the bearing is more than 45, the angle will be found on the right margin, and the difference of latitude will be found in the column marked lat. at the bottom of the page, and the departure in the other column. The latitudes and departures for different distances with the same bearing, are proportional to the dis- tances. Therefore the distances may be reckoned as tens, hundreds, or thousands, if the place of the decimal point in each departure and differ- ence of latitude be changed accordingly. Required the latitude and departure for the distance 32.25, and the bearing 10 30'. On page 136, opposite to 10 30', we find the following latitudes and departures, proper attention being paid to the position of the decimal points. Distance. Dijf- Lat. Dep. 30 29.498 5.467 2 J. 96(5 .364 .2 197 .036 .05 049 .009 32.25 31 710 5.876. Table of Meridional Parts, pp. 142-148 This table gives the length of the enlarged meridian on Mercator's Chart to every minute of latitude expressed in geographical miles and tenths of a mile. The degrees of latitude are arranged in order at the top of the page, and the minutes on both the right and left margins. Under the degrees and opposite to the minutes are placed the merid onal parts corresponding to any latitude less than 80. Thus the meridional parts for latitude 12 23' are 748.9 ; 57 42' are 4260.5. Table op Corrections to Middle Latitude, p. 149. This table is used in Navigation for correcting the middle latitude. The given middle latitude is to be found either in the first or last verti- cal column, opposite to which, and under the given difference of latitude, is inserted the proper correction in minutes, to be added to the middle latitude to obtain the latitude in which the meridian distance is accu- rately equal to the departure. Thus, if the middle latitude is 41, and the difference of latitude 14, the correction will be found to be 25', which, added to the middle latitude, gives the corrected middle latitude 41 23' 1 A TABLE 0* LOGARITHMS OF NUMBERS FROM 1 TO 10,000. N. Log. N. Log. N. Log. N. Log. i 2 3 4 5 6 7 8 9 io ii 12 i3 i4 i5 16 *7 18 *9 20 21 22 23 24 25 o.oooooo o.3oio3o 0.477121 0.602060 0.698970 0.778151 0.845098 0.903090 0.954243 1 .000000 1. 041393 1 .079181 1.113943 1 .146128 1 . 176091 I .204l20 I .23o449 I.25527 I .278754 i .3oio3o 1 .322219 1.342423 1. 361728 1 .380211 1.397940 26 27 28 29 3o 3i 32 33 34 35 36 37 38 39 4o 4i 42 43 44 45 46 47 48 49 5o 1. 4i4973 i.43i364 1. 447i58 1.462398 1 .477121 1 .491362 1 .5o5i5o i.5i85i4 1 .53i479 i.544o68 i.5563o3 1 .568202 1.579784 1. 591065 1 .602060 1. 612784 1 .623249 1.633468 1.643453 1 .6532i3 1.662758 1 .672098 1.681241 1 .690196 1 ,698970 5i 52 53 54 55 56 5 7 58 5 9 60 61 62 63 64 65 66 67 68 69 70 7i 72 73 74 75 1 .707570 1 .716003 1.724276 1.732394 i.74o363 1. 748188 1.755875 1.763428 1 .770852 i.778i5f i.78533o 1.792392 1. 79934 1 1. 806180 1 .812913 1. 819544 1 .826075 1 .832509 1.838849 1.845098 i.85i258 1.857332 1.863323 1 .869232 1. 875061 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 9 1 92 93 94 9 5 96 97 98 99 100 2 880814 886491 892095 897627 903090 908485 9:38i4 919078 924279 929419 934498 939519 944483 949390 954243 959041 963788 9 68483 97312& 977724. 982271 986772- 991226 995635 000000 N.B. In the following table, the two leading figures in the first column of logarithms are to he prefixed to all the numbers of the same horizontal line in the next nine columns ; but when a point (.) occurs, its place is to bs supplied by a cipher, and the two leading figures are to be taken from the next lower line. A ) I LOGARITHMS OF J\ UMII 5 KB. i N L^o_ 1 2 3 4 5 6 7 8 9 1). 1 xoo 000000 1 0434 0868 i3oi 1734 2166 2598 3029 346i 3891 43a IOI 4321 475i 5i8i 5609 6o38 6466 6894 7321 7748 8174 428 I09 8600 1 9026 945i 9876 .3oo .724 1 1 47 l570 r 99 3 24i5 4a4 io3 012837 325g 368o 4ioo 452i 494o 53Co 5 779 6197 6616 419 io4 7o33 745 1 7868 8284 8700 9116 9532 9947 .36i .775 4x6 io5 02 1 1 89 i6o3 2016 2428 2841 3252 3664 4076 4486 4896 4xa 1 1 06 53o6 5 7 i5 6i25 6533 6942 7350 77 5 7 8i64 85 7 i 8978 4o8 1 107 9 384 9789 .195 .600 ioo4 i4o8 1812 2216 2G19 3o2I 4o4 108 033424 0826 4227 4628 5029 543o 583o 623o 6629 7028 4oo 109 7426 7825 8223 8620 9017 94i4 9811 .207 .602 998 396 no o4i393 1787 2182 2576 2969 3362 3 7 55 4x48 454o 4932 3 9 3 in 5323 5 7 i4 6io5 6495 6885 7 2 7 5 7664 8o53 8442 883o 38 9 112 9218 9606 999 3 . 38o .766 ii53 i538 1924 2309 2694 386 n3 o53o,78 m 3463 3846 423o 46 1 3 4996 53 7 8 5760 6142 6524 332 n4 &9o5 7286 7666 8o46 8426 88o5 9185 9563 9942 .320 3 79 n5 060698 1075 i452 1829 2206 c582 | 2958 3333 3709 4o83 3 7 6 116 4458 4832 5206 558o 5g53 6326 6699 7071 7443 7 8i5 373 117 8186 855 7 8928 9298 9668 ..38 .407 .776 u45 i5i4 369 118 07x882 225o 2617 2985 335a 3 7 i8 4o85 445 1 4816 5i82 366 119 554 7 5912 6276 664o 7004 7368 77 3i 8094 845 7 8819 363 120 9181 9 543 9904 .266 .626 .987 1347 1707 2067 2426 36o 121 082785 3i44 35o3 386i 4219 45 7 6 4934 5291 5647 6oo4 35 7 N. 1 2 3 4 1 5 6 7 8 9 IX r 434 r 43 87 i3o i 7 4 217 260 3o4 347 391 432 43 86 i3o x 7 3 216 259 3o2 346 38 9 43o 43 86 129 172 2l5 258 3oi 344 38 7 428 43 86 128 171 214 257 3oo 342 385 426 43 85 128 r-70 2l3 256 298 34i 383 424 42 85 127 170 212 254 297 339 38a 422 42 84 127 169 211 253 295 338 38o 420 42 84 126 168 2IO 252 294 336 3 7 8 4x8 42 84 125 167 209 2.5l 293 334 3 7 6 4i6 42 83 125 166 208 25o 291 333 374 4x4 4i 83 124 166 207 248 290 33i 3 7 3 412 4i 82 124 i65 206 247 288 33o 3 7 i 4io 4i 82 123 164 2o5 246 287 3 2 8 369 4o8 4i 83 122 i63 204 245 286 326 36 7 4o6 4i' 81 122 162 203 244 284 3 2 5 365 4o4 b 4o 81 121 1O2 202. 242 283 323 364 402 e3 4o 80 121 :6i 20I 241 281 322 362 4oo ^ 4o 80 120 160 200 240 280 320 36o Q Q 398.1 4o 80 II 9 1 5 9 I99 239 279 3i8 358 p 396" .2 4o 79 II 9 1 58 I98 238 277 3i 7 356 394 | * 9 79 i rfl8 ki8 i584i *%! 236 276 3i5 355 3 9 2 g 3 9 78 j 1.57 > 196 235 274 3i4 353 . 390 Ph 3 9 78 117 1 56 V Z9^M 234 273 3l2 35x 388 39 78 116 i55 19*4 233 272 3io 349 386 39 77 116 1 54 193 232 270 309 347 384 38 77 1x5 1 54 192 23o 269 307 346 382 38 76 ii5. i53 191 229 267 3o6 344 38o 38 76 ii4 x5a 190 228 266 3o4 342 3 7 8 38 76 ii3 i5i 189 227 265 302 34o 3 7 6 38 75 ix3 i5o 1 88 226 263 3oi 338 3 7 4 37 75 112 i5o 187 224 262 299 337 372 37 74 112 i4 9 186 223 260 298 335 370 37 74 in 1 48 i85 222 259 296 333 368 37 74 110 i4 7 1 84 221 258 294 33i 366 1 37 73 110 1 46 i83 220 256 293 329 364 36 73 109 i46 182 218 255 291 3a8 362 36 72 109 x45 181 217 a53 290 3a6 36o { 36 72 108 i44 180 2l6 a5a 288 324 Logarithms of i\ umbers. N. 1 1 2 3 4 5 6 7 8 9 D. ! I2S o3636o 6716 7071 7426 7781 8i36 8490 8845 9198 9552 355 123 9905 .258 .611 .963 i?i5 1667 2018 2370 2721 3071 35i 124 093422 3772 4l22 4471 4820 5169 55i8 5866 62i5 6562 349 125 6910 7267 76o4 79 5i 8298 8644 8990 9335 9681 ..26 346 126 100371 0715 Io59 i4o3 1747 2091 2434 2777 119 3462 343 127 38o4 4i46 4487 4828 5169 55io 585i 6191 653 1 6871 34 1 128 7210 7549 7888 8227 8565 8903 9241 9 5 79 9916 .253 338 129 noSc^o 0926 1263 1 5 99 1934 2270 26o5 2940 3275 3609 335 i3o 3943 4277 46n 4944 5278 56u 5 9 43 6276 6608 6940 333 i3i 7271 7603 79 34 8265 85 9 5 8926 9 256 9586 99 i5 .245 33o l32 120574 0903 I23l i56o 1888 2216 2544 2871 3198 35 2 5 328 i33 3852 4178 45o4 483o 5i56 548i 58o6 6i3i 6456 6781 325 1 34 7io5 7429 77 53 8076 8399 8722 9045 9368 9690 . .12 323 35 i3o334 o655 0977 1298 1619 i 9 3 9 2260 258o 2900 3219 321 i36 3539 3858 4177 4496 48x4 5 1 33 545 1 5 7 6 9 6086 64o3 3i8 i3 7 6721 7037 7354 7671 7987 83o3 8618 8934 9249 9564 3i5 1 38 9879 :i94 .5o8 .822 n36 i45o i 7 63 2076 238 9 2702 3i4 239 i43oi5 3327 363 9 3951 4263 45 7 4 4885 5196 55o7 58i8 3n l4o 6128 6438 6 7 48 7o58 7367 7676 79 85 8294 86o3 8911 309 i4i 9219 9 52 7 9 835 .142 .449 . 7 56 io63 1370 1676 1982 307 l42 152288 2594 2900 32o5 35io 38i5 4l20 4424 4728 5o32 3o5 143 5336 564o ,5 9 43 6246 6549 6852 7154 7457 77 5 9 8061 3o3 i44 8362 8664 8 9 65 9266 9 56 7 9868 .168 .469 .769 1068 3oi i45 i6i368 1667 1967 2266 2 564 2863 3i6i 346o 3 7 58 4o55 299 146 4353 465o 4947 5244 554i 5838 6i34 643o 6726 7022 297 147 7 3i 7 7 6i3 7908 8ao3 8497 8792 9086 938o 9674 9968 295 1 48 170262 o555 o848 ii4i i434 1726 2019 23ll 2603 2895 293 N. 1 2 3 4 5 6 7 8 ~ 9~ T?r '358 ' 36 72 107 i43 179 2l5 25l 286 322 356 36 7 1 107 142 178 2l4 249 285 320 354 35 7 1 106 142 177 212 248 283 3l9 35 2 35 70 106 i4i 176 211 246 282 3i 7 35o 35 70 io5 i4o ,i 7 5 2IO 245 280 3i5 348 35 70 io4 i3g 174 209 244 278 3i3 346 35 69 io4 1 38 i 7 3 208 242 277 3n 344 34 69 io3 1 38 172 206 241 275 3io 342 34 68 io3 i3 7 171 205 239 274 3o8 34o 34 68 102 1 36 170 204 238 272 3o6 338 34 68 101 1 35 169 203 237 270 3o4 336 34 67 101 1 34 168 202 235 269 302 334 . 33 67 100 1 34 167 200 234 267 3oi 332 2 33 66 1 00 i33 166 I99 232 266 299 03 33o S 328 *z 33 66 99 1 32 i65 I98 23 1 264 297 O 33 66 98 i3i< 1 64 ^6 23o 262 295 3 2^ 326 a . 33 65 98 i3o 1 63 228 261 293 324 t 322 C. 32 32 65 64 W |t'3o '129 162 161 194 193 227 225 259 258 292 290 320 2 32 64 96 128 160 192 224 256 288 3i8 ^ 32 64 95 127 159 191 223 254 286 3i6 32 63 95 126 1 58 190 221 253 284 3i4 3i 63 94 126 i5 7 188 220 25l 283 3l2 3i 62 94 125 i56 187 2l8 25o 28: 3io 3i 62 93 124 i55 186 217 248 279 3o8 3i 62 92 123 1 54 i85 2l6 246 277 3o6 3i 61 92 122 i53 184 2l4 245 275 3o4 3o 61 9 1 122 l52 . 182 2l3 243 274 302 3o 60 9 1 121 i5i 181 211 242 272 3oo 3o 60 90 120 i5o 180 2IO 240 270 298 3o 60 89 II 9 149 179 209 238 268 296 3o 5 9 89 Il8 1 48 178 207 237 266 294 29 5 9 88 Il8 147 176 206 235 265 Logarithms of J\ UMBERS N. 1 3 3 4 5 6 7 8 9 [57 1 1 49 173186 3478 3769 4060 435i 464i 4932 5222 55i2 58o2 291 i5o 6091 638i 6670 6959 7248 7 536 7825 8n3 84oi 8689 289 i5i 8977 9264 9552 9839 .126 .4i3 .699 .986 1272 i558 287 i5a 181844 2129 24i5 2700 2985 3370 3555 383g 4l23 4407 285 i53 4691 4 97 5 5259 5542 5825 6108 6391 66 7 4 6956 7 23 9 283 1 54 7521 7803 8084 8366 8647 8928 9209 9490 9771 ..5i 281 i55 190332 0612 0892 1171 i45i 1730 2010 2289 2567 2846 279 i56 3i25 34o3 368i 3959 4237 45i4 4792 5069 5346 5623 278 i5 7 5900 6176 6453 6729 7005 7281 7556 7832 8107 8382 276 1 58 865 7 8932 9206 948i 9755 ..29 .3o3 .5 77 85o 1:24 274 159 201397 1670 1943 2216 2488 2761 3o33 33o5 3577 3848 27a 160 ii2o 439i 4663 4934 5204 5475 5 7 46 6c:6 6286 6556 271 161 6826 7096 7 365 7634 7904 8i 7 3 844i 8710 8979 9247 269 162 q5i5 9783 ..5i 319 .586 .853 1121 i388 1 654 1921 267 i63 212188 2454 2720 2986 3252 35i8 3 7 83 4o49 43i4 4579 266 164 4844 5109 53 7 3 5638 5902 6166 643o 6694 6 9 5 7 7221 264 i65 7484 7747 8010 8273 8536 8798 9060 9323 9 585 9846 262 166 220108 0370 o63i 0892 n53 i4i4 i6 7 5 1936 2196 24^6 261 167 2716 2976 3236 3496 3 7 55 4oi5 4274 4533 4792 5o5i 259 168 5309 5568 5826 6084 6342 6600 6858 7ii5 7372- 7630 258 169 7887 8i44 84oo 865 7 8913 9170 9426 9682 9938 .193 256 170 2 3 o449 0704 0960 I2l5 1470 1724 1979 2234 2488 2742 254 171 2996 325o 35o4 3 7 5 7 4on 4264 45i 7 4770 5o23 5276 253 172 5528 5 7 8i 6o33 6285 653 7 6789 7041 7292 7544 779 5 252 i 7 3 8o46 8297 8548 8799 9049 9299 955o 9800 ..5o .3oo 25o 174 240549 0799 io48 1297 1 546 i 79 5 2044 2293 254i 2790 249 i 7 5 3o38 3286 3534 3782 4o3o 4277 4525 4772 5019 5266 248 176 55i3 5759 6006 6252 6499 6745 6991 7237 7482 7728 246 177 797 3 8219 8464 8709 8954 9198 9443 9687 9932 .176 245 178 25o420 0664 0908 ii5i 1395 i638 1881 2125 2368 2? T> 243 179 2853 3096 3338 358o 3822 4o64 43o6 4548 4790 5o3i 242 180 5273 55i4 5 7 55 5996 6237 6477 6718 6 9 58 7198 7439 241 181 7679 7918 8i58 83 9 8 8637 8877 9116 9 355 9594 9 833 239 N. 1 3 4 5 6 7 8 9 D. '292 ' 29 58 88 117 1 46 i 7 5 2o4 234 263 290 29 58 87 116 i45 174 203 232 261 288 29 58 86 u5 1 44 i 7 3 202 23o 2 5 9 286 29 5 7 86 n4 i43 172 200 229 257 284 28 5 7 85 n4 142 170 199 227 256 282 28 56 85 u3 i4i 169 197 226 254 280 28 56 84 112 i4o 168 196 224 252 278 28 56 83 in 139 167 195 223 25o 276 28 55 83 no i38 166 193 221 248 2 74 a; 27 55 82 no i3 7 1 64 192 219 247 272 27 54 82 109 1 36 i63 190 2l8 245 o5 CD 270 ^ 27 54 81 108 i3& 162 189 2l6 243 a 268 _ 27 54 80 107 i3/f" 161 188 214 241 266 g 27 53 80 106 i33 160 186 213 239 | 264 26 53 79 106 132 1 58 i85 211 238 s 262 ^ 26 52 79 io5 i3i *5 7 . i83 2IO 236 260 P 26 52 78 io4 i3o i56 182 208 234 2 58 26 52 77 io3 129 i55 181 206 232 256 26 5i 77 102 128 i54 x 79 2o5 230 254 25 5i 76 102 127 i5a 178 203 229 ^* 252 25 5o 76 IOI 126 i5i 176 202 227 25o 25 5o 7 5 100 125 i5o i 7 5 200 225 248 25. 5o 74 99 124 149 174 I98 223 246 25 49 74 98 123 i48 172 197 221 244 24 49 73 98 122 i46 171 195 220 242 24 48 73 97 121 145 169 194 2l8 _ ... 240 I 24 48 72 96 120 i44 168 192 216 Logarithms of Numbers. N. 1 2 3 4 5 6 7 8 9 I). 238"" 182 260071 o3io o548 0787 1025 1263 i5oi 1739 1976 22l4 i83 245i 2688 2925 3162 3399 3636 3870 4109 4346 4582 2:7 184 4818 5o54 52; V 55 2 5 5 7 6i 5996 6232 6467 6702 6 9 3 7 235 i85 7172 7406 7641 7875 8110 8344 85 7 8 8812 9046 9279 234 186 g5i3 9746 9980 .213 .446 .679 .912 n44 i3 77 1609 233 187 271842 2074 23o6 2538 2770 3ooi 3233 3464 36 9 6 3927 232 188 4i58 4389 4620 485o 5o8i 53n 5542 5 77 2 6002 6232 23o 189 6462 6692 6921 7 i5: 7380 7609 7838 8067 8296 85 2 5 229 190 8 7 54 8982 9211 9439 9667 9895 .123 .35i .578 .806 228 I9I 28io33 1261 i488 1 71 5 1942 2169 2396 2622 2849 3075 227 392 33oi 3527 3 7 53 3 979 42o5 443 1 4656 4882 5107 5332 226 193 555 7 5782 6007 6232 6456 6681 6905 7i3o 7354 7 5 7 8 225 194 7802 8026 8249 8473 8696 8920 9i43 9366 9589 9812 223 195 290035 0257 0480 0702 0925 n47 i36g 1591 i8i3 2034 222.. I96 2256 2478 2699 2920 3i4i 3363 3584 38o4 4025 4246 221 I97 4466 4687 4907 5127 5347 556 7 5787 6007 6226 6446 220 I98 6665 6884 7104 7323 7542 7761 7979 8198 8416 8635 219 I99 8853 9071 9289 9 5o 7 9725 9943 .161 3 7 8 .5 9 5 .8i3 2l8 200 3oio3o 1247 i464 1681 1898 2Il4 233i 2547 2764 2980 217 20I 319.6 3412 3628 3844 4059 4275 4491 4706 4921 5i36 2l6 202 535i 5566 5 7 8i 5996 6211 6425 663 9 6854 7068 7282 2l4 203 7496 7710 7924 8i3 7 835i 8564 8778 8991 9204 9417 2l3 204 9630 9843 ..56 .268 .481 .6 9 3 .906 1118 i33o 1 542 212 205 3i 1 764 1966 21 77 2389 2600 2812 3o23 3234 3445 3656 211 206 386 7 4078 4289 4499 4710 4920 5i3o 534o 555i 5760 2lO 207 5970 6180 6390 6599 6809 7018 7227 7436 7 646 7854 209 208 8o63 8272 848 1 8689 8898 9106 93i4 9522 97 3o 9938 208 SO9 32oi46 o354 o562 0769 0977 1184 1391 1598 i8o5 2012 207 2IO 2219 2426 2633 2839 3o46 3252 3458 3665 38 7 i 4077 2o6 211 4282 4488 46 9 4 4899 5io5 53io 55i6 5721 5926 6i3i 205 212 6336 654i 6 7 45 6950 7 i55 7 35 9 7 563 7767 7972 8176 204 213 838o 8583 8787 8991 9 i 9 4 9398 9601 9805 ...8 .211 203 si4 33o4i4 0617 0819 1022 1225 1427 i63o i832 2034 2236 202. 2l5 2438 264c 2842 3o44 3246 3447 3649 385o 4o5i 4253 202 316 4454 4655 4856 5o57 5257 5458 5658 585 9 6o5g 6260 20I 217 646o 6660 6860 7060 7260 7 45 9 7 65 9 7 858 8o58 8257 200 218 8456 8656 8855 9054 9253 945 1 965o 9849 ..4 7 .246 I99 219 34o444 0642 084V 1039 1237 i435 i632 i83o 2028 2225 I98 220 2423 2620 2817 3oi4 3212 3409 36o6 38o2 3 999 4l96 I97 N. | 1 2 3 4 5 6 7 8 9 D. 238 ' 24 48 71 9 5 119 i43 167 190 214 236 24 47 71 94 118 142 i65 189 212 234 23 47 70 9 4 117 i4o 1 64 187 211 232 2J 46 70 9 3 116 139 162 186 209 23o 23 46 69 92 n5 i38 1 61 1 84 207 228 23 46 68 9 1 n4 i3 7 160 182 2o5 226 23 45 68 90 n3 i36 i58 181 2o3 224 2 22 45 67 90 112 1 34 i5 7 179 202 222 ce 22 44 67 89 in i33 i55 178 200 c 220 " 82 44 66 88 no l32 1 54 176 198 1 a SI 218 .2* 22 44 65 87 109 i3i i53 174 196 5 216 fe 22 43 65 86 108 i3o i5i i 7 3 194 " 2l4 " 21 43 64 86 107 128 i5o 171 193 212 p^ 21 42 64 85 106 127 1 48 170 191 210 21 42 63 84 io5 126 147 168 189 208 21 42 62 83 104 125 i46 166 187 206 11 4i 62 82 io3 124 1 44 1 65 i85 204 20 4i 61 82 102 122 i43 i63 1 84 202 20 4o 61 81 101 121 141 162 182 _ 1 200 20 4o 60 80 100 . 120 i4o 160 180 r 9 8 20 4o 5 9 79 99 I! 9 1 3 9 i58 178 1 c Logarithms < )F JN OMBERS 1 N. 1 2 3 4 5 6 7 1 8 9 D. 221 344392 458 9 4785 4981 5i 7 8 53 7 4 5570 5 7 66 5962 6:5 7 196 222 6353 6549 6 7 44 6939 7 i35 733o 7525 7720 79 i5 8:10 i 9 5 223 83o5 85oo 8694 8889 9083 9278 9472 9666 9860 ..54 i 9 4 224 35o248 o442 o636 0829 I023 1216 i4io i6o3 1796 1989 i 9 3 225 2i83 2375 2568 2761 2954 3i4 7 333 9 3532 3724 3qi6 26 4io8 43oi 4493 4685 4876 5o68 5260 5452 5643 5834 192 227 6026 6217 64o8 6599 6790 6981 7172 7363 7554 7744 191 228 79 35 8i25 83i6 85o6 8696 8886 9076 9266 9456 9646 190 229 9835 ..25 2l5 4o4 .5 9 3 7 83 .972 1161 i35o 1539 189 23o 361728 1917 2io5 2294 2482 2671 285 9 3o48 3236 3424 188 23: 36i2 38oo 3988 4176 4363 455i 4739 4926 5n3 53oi 232 5488 56 7 5 5862 6049 6236 6423 6610 6796 6983 7169 187 233 7 356 7542 7729 79 i5 8101 8287 8473 865 9 8845 9o3o 186 234 9216 9401 9 58 7 9772 9958 .i43 .328 5i3 .698 .883 i85 235 371068 1253 i43 7 1622 1806 1991 2175 236o 2544 2728 1 84 236 2912 3096 3280 3464 3647 383i 4oi5 4198 4382 4565 237 4748 4932 5u5 5298 548i 5664 5846 6029 6212 63 9 4 i83 238 65 77 6759 6942 7124 7306 7 488 7670 7852 8o34 8216 182 2 3 9 83 9 8 858o 8761 8943 9124 9306 9487 9668 9849 ..3o 181 240 380211 0392 0573 0754 0934 iii5 1296 1476 i656 i83 7 241 2017 2197 23 77 2557 2737 2917 3o 97 3277 3456 3636 180 242 38i5 3995 4x74 4353 4533 4712 48 9 i 5070 5249 5428 179 243 56o6 5 7 85 5 9 64 6142 632i 6499 6677 6856 7034 7212 178 a44 7 3 9 7 568 7746 7923 8101 8279 8456 8634 8811 8989 245 9166 9343 9520 9698 9 8 7 5 ..5i .228 .4o5 .582 7 5 9 177 246 390935 1112 1288 i464 1 64 1 1817 i 99 3 2169 2345 2521 176 247 2697 2873 3o48 3224 34oo 35 7 5 3 7 5i 3926 4ioi 4277 248 4452 4627 4802 4977 5i52 5326 55oi 5676 585o 6025 i 7 5 249 6199 63 7 4 6548 6722 6896 7071 7245 7419 7 5 9 2 7766 i 7 4 25o 7940 8n4 8287 8461 8634 8808 8981 9154 9328 95oi i 7 3 5i 9674 9847 . .20 .192 .365 .538 .711 .883 io56 1228 252 4oi4oi i5 7 3 1745 1917 2089 2261 2433 26o5 2777 2949 172 253 3l2I 3292 3464 3635 3807 3978 4i4g 432o 4492 4663 I7 1 2 54 4834 5oo5 5176 5346 55i 7 5688 5858 6029 6199 6370 255 654o 6710 6881 7o5i 7221 7 3 9 i 7 56i 77 3i 7901 S070 t 7 o 256 8240 84io 85 7 9 8749 8918 9087 9257 9426 9595 9764 169 257 9933 . 102 .271 44o .609 777 .946 1 1 1 4 1283 i45i 258 4i 1620 1788 1956 2124 2293 2461 2629 2796 2964 3i32 168 259 33oo 3467 3635 38o3 3 97 o 4i3 7 43o5 4472 463 9 4806 167 260 4973 5i4o 5307 5474 564i 58o8 5 97 4 6i4i 63o8 6474 261 664 1 6807 6973 7 i3 9 7306 7472 7638 7804 7970 8i35 1 66 262 83oi 6467 ! 8633 8798 8964 9129 9295 9460 9625 9791 i65 263 9956 .121 .286 .45i .616 .781 .945 mo 1275 1439 N. G 1 2 3 4 5 6 7 8 9 D. 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Min. 2G Logarithmic Sines. i 9 Sine of 2 Degrees. 3 Sine of 3 Degrees. ... 59" 0" | 10" 20" 30' 40" 50" 0" 10' 20" 30" 40'' 50" 8.5428i9|3422|4o23 46s4 522^ 582359 8.718800 9202 9603 ...4 4o4 .8o4 I 6422 7019 7616 8212 8807 9401 58 1 8.721204 i6o3 2002 24oi 2799 3197 58 2 9995 .587 II79 1770 236i 2950(57 2 35 9 5 3 99 2 4^89 4785 5i8i 55 77 57 3 s. 5535394126 4713 53oo 5885 6470 56 3 5 97 2 636 7 6762 7i56 755o 7943 56 4 7054 7637 8219 8801 9381 9961 55 4 8337 8729 9122 95i4 9906 .297 55 5 8.56o54o 1119 1696 2273 2849 3425 54 5 8.730688 1079 1469 i85 9 2249 2633 54 6 3 999 45 7 3 5i46 5 7 i 9 6290 6861 53 6 3027 34i6 38o4 4192 45 79 4967 53 7 743i 8000 856 9 9 l3 7 9704 .270 52 7 5354 5740 6126 65i2 6898 7283 52 8 8.570836 i4oi 1965 2528 3091 3653 5i 8 7667 8o52 8436 8820 9203 9586 5i 9 4214 4774 5334 58 9 3 645 1 7009 5o 9 9969 .352 .734 1 1 15 1497 1878 5o IO 7 566 8122 8678 9232 9786 .34o 4y 10 8.742259 263 9 3019 3399 3 77 8 4i5 7 4 9 ii 8 5So8 9 2 i444 i 99 5 2546 3096 3645 48 11 4536 4914 5293 5670 6o48 642 5 48 12 4193 4741 5288 5834 638o 6925 4y 12 6802 7178 7554 7 9 3o 83o5 8680 47 i3 7469 8oi3 8556J9098 9640 .181 46 i3 9o55 943o 9804 .178 .55i .924 46 i4 8.590721 1260 1 7g9J2338 2875 3412 45 i4 8.751297 1670 2042 2414 2786 3i5 7 45 i5 3948 4484 5019 5553 6087 6619 44 i5 3528 38 9 8 4269 463 9 5oo8 53 7 8 44 16 7102 7 683 8214(8745 9274 9803 43 16 5747 6116 6484 6852 7220 7 58 7 43 17 8.6oo332 0859 1387 igi3 2439^964 4^ J 7 79 55 832i 8688 9054 9420 9786 42 18 3489 40I2 4536,5058 558o,6io2 4i 18 8.760151 o5i6 0881 1245 1609 i 97 3 4i '9 6623 7143 76628181 8699I9217 4o l 9 2337 2700 3o63 3425 3787 4149 4o 20 9734 25l .766 1282 1796 23lO 39 20 45n 4872 5234 55 9 4 5 9 55 63i5 3 9 21 8.612823 3336 3848 436o 48 7 i 538i 38 21 6675 7034 7 3 9 4 77 5 2 8111 846 9 38 22 58gi 64oo 6909:7417 79248431 37 22 8828 9185 9543 9900 . 2 5 7 .6i3 3? 23 8 9 3 7 9442 9947I.452 .956 1459 36 23 8.770970 1326 168/ 203 7 2392 2747 36 24 3.621962 2464 2965 3466 39664466 35 24 3ioi 3456 38io 4i63 45i 7 48 7 o 35 25 4?65 5464 5962 6459 6956 7453 34 25 5223 5575 5927 6279 663i 6982 34 26 7948 8444 89389432 9926 .419 33 26 7333 7684 8o35 8385 8 7 35 9085 33 27 8.630911 i4o3 i8 9 4 l 2385 2875 3365 32 27 9434 9783 .132 48o .829 1177 32 sS 3854 4342 483o53i7 58o4 6291 Jl 28 8.781524 1872 2219 2566 2912 3259 3i 29 6776 7262 7746 823o 8714 9197 3o 29 36o5 3951 4296 464 1 4986 533i 3o 3o 9680 .162 .643 1124 1604 2084 29 3o 56 7 5 6019 6363 6707 7o5o 7 3 9 3 29 3i 8.642563 3o42 3520 3998 4475 4 9 52 28 3i 7736 8078 8421 8762 9104 9446 28 32 5428 5904 6379|6854 7328 7801 27 32 9787 .128 .468 .808 1 149 i488 27 33 8274 8747 9219 9690 .161 .632 26 33 8.791828 2167 25o62845 3i83 35ai 26 34 8.65no2 1571 2040 25o8 2976 3444 25 34 385 9 4197 45344872 5208 5545 25 35 3911 43 7 7 484353o8 5773:6238 24 35 588i 62i8 6553 6889 7224 7559^4 36 6702 7 i65 76288090 8552'9oi4 23 36 789418229 8563 8897 9231 9564 23 37 9475 9935 .3 9 5.855 i3i4 1772 22 37 9897 .230 .563 .896 1228 i56o 22 38 8.662230 2688 3i45 36o2 4o58 45i3 21 38 8.801892 2223 2554 2885 32i6 354621 3 9 4968 54a3 58776331 6784 7237 20 3 9 3876I4206 4536 4866,5195 5524 20 4o 7689 8141 8592 9043 9494 9944 i( ; 4o 5852 6181 65o9 683 77 i65 7492 J 9 4i 8.870393 0842 1291^739 2187 2634 18 4i 7819 8i46 84 7 3 8799 9126 945i 18 42 3o8o 3527 3972 44i8 4863 5307 17 42 9777 . io3 .428 . 7 53 1078 1402 17 43 5 7 5i 6194 6638 7080 7522 7964 16 43 8.811726 2o5o 2374 269813021 3344 16 44 84o5 8846 9286 9726 .166 .6o5 i5 44' 366 7 3989 43i2 46344956 5277 i5 45 8 68io43 i48i 1919 2356 2793 323o 1 4 45 5599 5920J6241 656i 6882 7202 1 4 46 3665 4ioi 4536 4971 54o5 5838 1 3 46 7522 7841 8161 84808799 9118 i3 4? 6272 6705 7137 7569 8001 8432 12 47 9 436 9755 . .73 .390 .708 1025 12 48 8863 9293 9723 .152 .58i IOIO 11 48 8.821343 1 659! 1976 2292 2609 2925 11 49 8.691438 1866 2293 2720 3i46 3572 10 4 9 324o 3556 38 7 i 4i86 45oi 4816 10 5o 3998 4423 4848 5272 56 9 6 6120 9 5o 5i3o 5444i5 7 58 6072 63S5 6698 9 5i 6543 6966 7 388 7810 8232 865,3 8 5i 701 1 73247637 7949 8261 85 7 3 8 52| 9073 9494 9913 .333 .752 1 171 7 52 8884 91969507 9818 . 129 43 9 7 53 8 701589 2007 2424 2841 3 2 58 36 7 4 6 53 8.830749 106011369 1679 1988 2298 6 54 4090 45o5 4920 5335 5749 6i63 5 54 2607 2915 3224 3532 384o 4i48 5 55 65 77 699O 7 4o2 7 8i5 8226 8638 4 55 4456 4763 5070 53 77 5684 5 99 i 4 56 9049 9460 987O .280 .690 1099 3 56 6297 6 60 3 6909 7215 7520 7825 3 57 9,711507 I916I2324 2731 3 1 39 3546 2 57 8i3o 8435 8740 9044 9348(9652 2 58 3 9 52 4358U764 5i6g 55 7 4 5 979 1 58 9956 .260 .563 .866:1 169I1472 1 5 9 6383,6787 7190 7 5 9 3 7996 83 9 8 5 9 8.841774 2076(2378 268o ! 2982J3233 .3 S 60" J 50" | 40" 30" 20" 10" d a 60" 50' J 40" j 30" | 20" 1 10" Co-sine of 87 Degrees. Co-sine of 86 Degrees. P Part J l "~" 3 " 4 " 5 " 6 " 7 " 8 " 9 " tla,l $ 48 96 145 193 241 289.. 338 386 434 P. .( 1" 2" 3" 4" 5" 6" 7" 8 ; ' 9" rt \ 34 69 103 138 172 207 211 275 310 1 Logarithmic ' Fangents 2< i Tangent of 2 Degrees. Tangent of 3 Degrees. 0" 10" 20" ) 30" | 40" 50" 0" | 10" 20" 30" 40" | 50" o S. 543o84 368 7 4289 4891 5492 6092 59 8.719396 9798 .201 .6o3 1004 i4o5 5 9 1 6691 7289 7887 8483 9079 9674 58 I 8.721806 2207 2607 3007 34o638o5 58 2 8 55o268 0862 1454 2046 2637 322 7 5y 2 4204 4602 5ooo 53 97 5794,6191 57 3 38i 7 44o5~ 4993 558o 6166 6752 56 3 6588 6984 7380 777 5 8170 8565 56 4 7 336 7920 85o3 9085 9667 .248 55 4 8959 9353 9746 i4o .533 .925 55 5 8.560828 1407 1985 2563 3i4o 3716 54 5 8.731317 1709 2101 2492 2883 32 7 3 54 6 4291 4866 544o 60 1 3 6585 7 l5 7 53 6 3663 4o53 4442 483i 5220 56o8 53 7 7727 8298 8867 9 435 ...3 .570 52 7 5996 6384 6771 7 i58 7545 7 9 3i 52 S 8.571 137 1702 2267 2832 33 9 5 3 9 58 5i 8 83i 7 8 7 o3 9088 9473 9 858 .242 5i 9 4520 5o8i 5642 6201 6760 7319 5o 9 8.740626 1009 i3 9 3 1776 2i58 2 540 5o 10 7877 8434 8990 9545 . 100 .654 49 10 2922 33o4 3685 4o66 4447 4827 49 1 1 S- 58 1 208 1760 23l2 2864 34i4 3 9 64 48 1 1 5207 5586 5 9 66 6344 6723 7IOI 48 12 45i4 5o62 56io 6i5 7 6704 7249 4 7 12 7479 7 85 7 8234 8611 8988 9 364 47 i3 779 5 833 9 8883 9426 9968 .5io 46 i3 9740 .116 .491 .866 1241 i6i5 4& i4|S . 591 o5 1 1 591 2l3l 2670 3208 3 7 46 45 i4 8.751989 2363 2736 3109 3482 3855 45 i5 4z83 4820 5355 5890 642 5 6959 44 i5 4227 4599 4970 534i 5712 6o83 44 16 7492 8024 8556 9087 9618 .147 43 iG 6453 6823 7193 7562 79 31 83oo 43 17 8.600677 1205 1733 2260 2787 33i3 42 x 7 8668 9o36 94o4 9771 .139 .5o5 42 18 383 9 4363 4887 54n 5 9 34 6456 4i 18 8.760872 1238 1604 1970 2335 2700 4i 10 6978 7499 8019 853 9 9o58 9 5 7 6 4o l 9 3o65 3429 3 79 3 4i5 7 4520 4884 4o 20 8.610094 0612 1128 1 644 2160 2675 39 20 5246 5609 5 97 i 6333 66 9 5 7o56 3 9 21 3189 3702 42 1 5 4728 524o 5751 38 21 7417 7778 8i3g 8499 885 9 9218 38 22 6262 6772 7281 7790 8298 8806 37 22 9 5 7 8 99 3 7 .295 .654 IOI2 1370 37 23 93 1 3 9819 .325 .83o i335 1839 36 2 3 8.771727 2o85 2442 2798 3i55 35n 36 24 8.622343 2846 3348 385o 435i 485 2 35 24 3866 4222 4577 4932 5287 564 1 35 23 5352 585i 635o 6849 7346 7844 34 2 5 5995 6349 6702 7o56 7409 7761 34 26 834o8836 9332 9827 .321 .8i5 33 26 8n4 8466 8817 9169 9520 9871 33 27 8.63i3o8 1801 2293 2785 3276 3 7 66 32 27 8.780222 0572 0922 1272 1622 1971 32 28 4256 4746 5235 5723 6211 6698 3i 28 2320 2669 3017 3365 3 7 i3 4o6i 3i 29 '7184 7671 8i56 864i 9126 9610 3o 29 44o8 4755 5l02 5448 5794 6i4o 3o 3(, 8.640093 0576 io58 1 54o 2021 2502 29 3o 6486 683i 7177 7521 7866 8210 29 3i 2982 3462 394i 4420 4898 53 7 6 28 3i 8554 8898 9242 9 585 9928 .271 28 32 5853 6329 68o5 7281 775.6 8 2 3o 27 32 8.790613 0955 1297 1639 1980 2321 27 33 8704 9178 965i . 123 .5 9 5 1067 26 33 2662 3oo3 3343 3683 4023 4362 26 34 8.65i537 2008 2478 2947 34i6 3884 25 34 4701 5o4o 5379 5 7 i8 6o56 63 9 4 25 35 4352 4820 5 2 86 5 7 53 6219 6684 24 35 6 7 3i 7069 7406 7743 8079 84i6 24 36 7149 7613 8077 854i 9004 9466 23 36 8752 9088 9423 97 5 9 94 .429 nO 37 9928 .38 9 .85o i3ii 1771 223o 22 37 8.800763 1098 l432 i 7 65 2099 2432 22 38 8.662689 3i48 36o6 4o63 4520 4977 21 38 2765 3098 3431 3 7 63 4095 4427 21 3 9 5433 588 9 6344 6799 7253 7707 20 3 9 4 7 58 5090 5421 5 7 5i 6082 6412 20 4o 8160 86i3 9065 9 5i 7 9968 .419 *9 4o 6742 7072 7402 77 3i 8060 838 9 l 9 4i 8.670870 l320 1769 2218 2667 3n5 18 4i 8717 9046 9 3 7 4 9701 ..29 .356 l8 42 3563 4oio 4457 4903 5349 5 79 4 17 4 a 8.8io683 IOIO -i33 7 i663 1989 2 3 1 5 l 7 43 6239 6684 7128 7 5 7 2 8oi5 845 7 16 43 2641 2966 3291 36i6 3g4i 4265 16 44 8900 9341 97 83 .224 .664 no4 i5 44 4589 4gi3 5 2 3 7 556o 5884 6207 i5 45 8.68i544 1983 2422 2860 3298 3 7 35 14 45 6529 6852 7174 7496 7818 8i4o i4 46 4172 4608 5o44 548o 5915 635o i3 46 846 1 8782 9io3 9423 9744 ..64 i3 47 6784 7218 7652 8o85 85i 7 8 9 5o 12 4? 8.820384 0703 1023 1 342 1661 1980 12 48 9381 9813 244 6 7 4 no4 1.534 1 1 48 2298 2617 2935 3253 3570 3888 1 1 49 8.691963 2392 2820 3248 36 7 5 4io3 10 4<; 42o5 4522 4838 5i55 547i 5787 10 5o 4529 4956 538i 5807 6232 6656 9 5o 6io3 64i8 6733 7049 7 363 7G78 9 5i 7081 75o4 7928 835i 8 77 3 9 i 9 5 8 5i 7992 8307 8621 8 9 34 9248 9561 8 52 9617].. 38 45 9 .880 i3oo 1720 7 52 9874 .187 5oo .812 1 124 i436 7 53 8.702139 2 558 2976 33 9 5 38i2 423o 6 53 8.831748 2059 2371 2682 2992 33o3 6 54 4646 5o63 5479 58 9 5 63io 6725 5 54 36i3 3924 4234 4543 4853 5i62 5 55 7140 7554 7967 838i 8794 9206 4 55 547i 5780 6089 63 9 7 6705 7013 4 56 9618 ..3o 442 .853 1263 1674 3 56 7321 7629 79 36 8243 855o 885 7 3 57 8.712083 2493 2902 33n 3 7 i 9 4127 2 57 9163 9470 9776 ..81 .38 7 .692 2 58 453414942 5348 5 7 55 6161 6567 1 58 8.840998 i3o3 1607 1912 2216 2521 1 5 9 6972 7377 7781 8186 858 9 8993 5 9 2825 3128 3432 3 7 35 4o38 434l 60" | 50" 40" 30" 20" 10" 60" 50" 40" 30" 20" 10" i Co-tangent of 87 Degrees. Co-tangent of 8(3 Degrees. P. Pn ,. f S 1" 2" 3" 4" 5" 6" 7" 8" 9" \ 48 97 145 193 242 290 338 387 435 p p ( 1" 2" 3" 4" 5" 6" 7' 8" 9" n art 3 . 69 1Q4 138 173 207 242 276 3n 18 L OGARITHMIC SlNES. A 9 Sine of 4 Degrees. Sine of 5 Degrees. 0" 10" 20" 30" 40" 50" 0" 10" 20" 30" 40*' 50" o 8.843585 3886 4i86 448? 4787 5o8 7 5 9 8.940296 0537 0777 IOI7 1258 1498 5 9 I 5387 568 7 5987 6286 6585 6884 58 1 1738 1977 2217 2457 2696 2935 58 s 7 i83 748i 7780 8078 83 7 6 8673 57 2 3i 7 4 34i 3 3652 3891 4129 4368 5? 3 8971 9268 9 565 9862 .159 .455 56 3 4606 4844 5o83 532i 5558 5796 56 4 8.85o75i 1047 1 343 1639 i 9 34 2229 55 4 6o34 6271 65o8 6745 6982 7219 55 5 2525 2819 3n4 34o8 3703 3 997 54 5 7456 7693 7929 8166 8402 8638 54 6 4291 4584 4878 5l7I 5464 5 7 5 7 53 6 8874 9110 9 345 958l 9817 ..52 53 7 6049 6342 6634 6926 7218 75io 52 7 8.950287 o522 o 7 5 7 0992 1227 i46i 53 8 7801 8092 8383 86 7 4 8 9 65 9255 5i 8 1696 1930 2164 2398 2632 2866 5i 9 9546 9 836 .126 .4i5 .705 994 5o 9 3ioo 3333 356 7 38oo 4o33 4266 5o IO 8.861283 1572 1861 2149 2438 2726 49 10 4499 4732 4965 5i 97 5429 5662 4 9 ii 3oi4 33o2 3589 38 77 4i64 445 1 48 11 5894 6126 63586590I6821 7o53 48 12 4 7 38 5o24 53n 5597 5883 6169 47 12 7284 7 5i6 7747 7978 8209 844o 47 i3 6455 6740 7025 73io 7 5 9 5 7880 46 i3 8670 8901 9i3i 9362 9592 9822 46 i4 8i65 8449 8733 9017 9301 9 585 45 i4 8.960052 02S2 o5n 0741 0970 1200 45 i5 9868 .i5i 434 .717 1000 1282 44 i5 1429 i658 1887 2Il6]2344 25 7 3 44 16 8.8 7 i565 1847 2129 2410 2692129^3 43 16 2801 3o3o 3258 34863714 3g42 43 17 3255 3536 38i 7 4097 43 7 8 4658 42 17 4170 4397 4625 4852 5o8o 5307 42 18 4938 52i8 5498 5 777 6057 6336 4i 18 5534 5761 5987 6214 644i 6667 4i J 9 66i5 68 9 4 7172 745 1 7729 8007 4o J 9 68 9 3 7120 7346 75727797 8023 4o 20 8285 8563 884i 9118 9395 9672 3 9 20 8249 8474 8700 8925 9i5o 9 3 7 5 39 21 9949 .226 .5o3 779 io55 i33i 38 21 9600 9825 ..4 9 .274 .498 .723 38 22 8.881607 i883 2i58 2433 2708 2 9 83 37 22 8.970947 1171 i3g5 1619 1842 2066 3? 23 3258 3533 3807 4o8i 4355 4629 36 23 2289 25i3 2736 2959 3i82 34o5 36 24 4903 5i 77 545o 5723 5996 6269 35 24 3628 385i 4073 4296 45i8 474o 35 25 6542 68i4 708717359 763i 79 o3 34 25 4962 5i84 54o6 5628 585o 6071 34 26 8i 7 4 8446 87178988 9259 953o 33 26 6293 65i4 6 7 35 6 9 56 7177 7 3 9 8 33 27 9801 ..71 .34i .612 .882 ii5i 32 27 7619 7839 8060 8280 85oi 8721 32 28 8.891421 1690 i960 2229 2498 2767 3i 28 8 9 4i 9161 9381 9600 9820 ..3 9 3i 29 3o35 33o4 3572:3840 41084376 3o 29 8.980259 0478 0697 0916 n35 i354 3o 3o 4643 491 1 5178 5445 5712 5979 29 3o i5 7 3 1791 2010 2228 2447 2665 29 3i 6246 65i2 677817044 73io 7576 28 3i 2883 3ioi 3319 3536 3 7 54 3972 28 32 7842 8107 83738638 8903 9168 27 32 4189 44o6 4623 484o 5o57 5274 27 33 9432 9697 9961 .225 .489 .753 26 33 5491 5708 5924 6i4i 6357 65 7 3 26 34 8.901017 1280 i544 1807 2070 2333 25 34 6789 7005 7221 7437 7 652 7868 25 35 25 9 6 2858 3i2i 3383 3645 3907 24 35 8o83 8299 85i4 8729 8 9 44 9 i5 9 24 36 4169 443o 4692 4953 52f4 5475 23 36 9 3 7 4 9 588 9803 ..17 .232 .446 23 3 7 5736 5 997 6257 |65i 7 6778 7o38 22 37 8.990660 0874 1088 i3o2 i5i6 1729 22 38 7297 7 55 7 7817,8076 8335 85 9 5 21 38 1943 2i56 2370 2583 2796 3009 21 3 9 8853 9112 9371 9629 9888 .146 20 3 9 3222 3435 3647 386o 4072 4285 20 4o 8.910404 0662 0919,1177 i434 1692 r 9 4o 4497 4709 4921 5i33 5345 5556 19 4i 1949 2206 2462 2719 2976 3232 l8 4i 5768 5980 6191 6402 66i4 6825 18 42 3488 3 7 44 4ooo 4256 45n 4767 17 42 7o36 7247 7457 7668 7879 8089 17 43 5 02 2 5277 553 2 5 7 8 7 6o4i 6296 16 43 8299 85io 8720 8930 9140 935o l6 44 655o 68o5 7059 73i3 7 566 7820 i5 44 9560 9769 9979 .188 .3 9 8 .607 i5 45 8073 8327 858oJ8833 9086 9 338 i4 45 9.000816 1025 1234 1443 i652 i860 a 46 9 5 9 i 9843 ..96I.348 .600 .852 i3 46 2069 2277 2486 2694 2902 3no i3 47 8.921103 i355 i6o6li858 2109 236o 12 4 7 33i8 3526 3733 3 9 4i 4149 5392 4356 12 48 2610 2861 3lI2 3362 36i2 3862 11 48 4563 4771 497S 5i85 5599 11 49 4lI2 4362 4612 4861 5ni 536o 10 49 58o5 6012 6218 6425 663i 6837 IO 5o 5609 5858 6107,6355 6604 6852 9 5o 7044 725o 7456 7661 7867 8073 9 5i 7100 7348 759617844 8092 8339 8 5i 8278 8484 8689 8894 9100 93o5 8 52 858 7 8834 9081 9328 g5 7 5 9821 7 52 9510 97 i5 9919 .124 .329 .533 7 53 8.930068 o3i4 o56o 0806 io52 1298 6 53 9.010737 0942 n46 i35o i554 i 7 58 6 54 1 44 1789 2o35 2280 252D 2770 5 54 1962 2i65 2369 2572 2776 2 979 5 55 3oi5 3260 35o4 3749 3993 4a3 7 4 55 3182 3385 3588 3 79 i 3994 4197 4 56 448 1 4725 4969 5212 5456 6699 3 56 44oo 4602 48o5 5oo 7 5209 54n 3 57 5942 6i85 6428 667I 6914 7 i56 2 5 7 56i3 58i5 6017 6219 6421 6622 2 58 7398J7641 7 883 8l25 8366 8608 1 58 6824 7025 7227 7428 7629 783o 1 59 885o 9091 9332 9 5 7 3 9814 ..55 5 9 8o3i 8232 8433 8633 8834 9o34| P. 60" j 50" 40" 30" 20" 10" a 60" 50" 40" 30". | 20" 10" c Co-sine of 85 Degrees. Co-sine of 84 Degrees. 3 H27 5 " 3" 3 80 4" 107 1 " 6" 34 1C( 7" 187 8" 214 i 9" Ml P. < 1" Partj * 2 ~>" 3" 44 66 4" I 87 1 )" 6' 09 13 ' 7" 1 153 8" 175 9" 197 Logarithmic Tangent. 29 / i, o Tangent of 4 Degrees. 2 Tangent of 5 Degrees. // 3 // 14 66 4" 88 1 >" 6' 10 13 / 7 H 2 154 8" 177 9" 199 30 L OGARITHMIC S I N E 5. Sine of 6 Degrees. 9 Sine of 7 Degrees. ! 1 1 " 10" 20" 30" 40" | W 0" 10" 20' | 30" 40" 1 50" 59- O 9.019235 9435 9635 9835 ..35 .235 5 9 9.085894 6066 6237 64o 9 658o 6 7 5i I 9.020435 o635 o834 io34 1233 i433 58 1 6922 7093 7264 7435 7606 7777 58 i632 i83i 2o3o 2229 2428 2627 5? 2 7947 8118 8288 8459 8629 8800 5? ! 3 2825 3024 3223 3421 3619 38i8 56 3 8970 9140 93l0 9480 965i 9820 56 1 4 4oi6 4214 4412 4610 4807 5oo5 55 4 9990 . 160 .33o .5oo .669 83 9 55 5 52o3 5400 5598J5795 5992 6189 54 5 9.091008 1 1 78 1 34 7 i5i6 i685 i855 54 6 6386 6583 6780 6977 7174 7370 53 6 2024 2193 2362 253o 2699 2868 53 j 7 7D67 77 63 7960 81 56 8352 8548 52 7 3o37 32o5 3374I3542 3711 38 79 5a | 8 8 7 44 8 9 4o 9i36l9332 9 52 7 9723 5i 8 4047 4216 438414552 4720 4888 5i 9 9918 .114 .3o9|.5o4 .69Q 8 9 4 5o 9 5o56 5223 5391I5559 5726 5894 5o IO y. 031089 1284 1479 1673 18682062 49 10 6062 6229 6396 6564 6 7 3i 6898 49 ir 2257 245i 2645 283 9 3o33 3227 48 11 7065 7232 7399I7566 7733 7900 48 IS 3421 36i5 3809 4002 4196 4389 47 12 8066 8233 8399 8566 8 7 32 8899 47 i3 4582 4776 4969 5i62 5355 5548 46 i3 9065 9231 9398 9564 9 7 3o 9896 46 i4 5 7 4i 5 9 33 6126 63 19 65u 6703 45 14 9. 100062 0227 0393 0559 0725 0890 45 i5 6896 7088 7280 7472 7664 7 856 44 i5 io56 1221 i38 7 i552 1717 i883 44 16 8o48 8239 843i 8623 88i4 9005 43 16 2048 22l3 2378 2543 2708 2873 43 7 9197 9388 9 5 79 9770 9961 . l52 42 17 3o37 3202 3367 353i 36 9 6 386o 42 18 j.o4o342 o533 0724 0914 no5 1295 4i iS 4o25 4l8 9 4353 45i 7 4682 4846 4i *9 i485 i6 7 5 i865 2o55 2245 2435 4o J 9 5oio 5i 7 4 533 7 55oi 5665 5829 4o 20 2625 28i5 3oo4 3194 3383 35 7 2 3 9 20 5992 6i56 6319 6483 6646 6810 3 9 21 3762 3951 4i4o 4329 45i8 4707 38 21 6 97 3 7 i36 7299 7462 7625 7788 38 22 4895 5o84 5273 546i 565o5838 3? 22 79 5i 8114 8277 843 9 8602 8765 37 23 6026 6214 6402 6590 6778 6966 36 23 8927 9090 9252 94i4 9 5 77 97 3 9 36 24 7i54 7342 75297717 7904 8091 35 24 9901 ..63 .225 .38 7 549 .711 35 25 8279 8466 8653i884o 9027 9214 34 25 9. 1 10873 io34 II96 i358 1519 1681 34 26 9400 9 58 7 9774,9960 .147 .33.3 33 26 1842 2oo3 2i65 2326 2487 2648 33 27 9.o5o5i9 0706 0892 1078 1264 i45o 32 27 2809 2970 3i3i 3292 3453 36i3 32 28 i635 1821 2007 2192 2378 2 563 3i 28 3774 3 9 35 4095 4256 44i6 45 77 3i 29 2749 2934 3ii9:33o4 3489 36 7 4 3o 29 4737 4897 5o57 52i8 53 7 8 5538 3o 3c 385 9 Uo44 4228'44i3 45 97 4782 20 3o 5698 5858 6017 6177 633 7 6497 29 3i 4 9 66 5i5o 5335 5519 5703 588 7 28 3i 6656 6816 6975 7 i35 7294 7453 28 32 6071 6254 6438,6622 68o5 6989 27 32 7613 7772 79 3i 8090 8249 84o8 27 33 7172 7 356 75397722 7905 8088 26 33 856 7 8726 8884 9043 9202 9360 26 34 8271 8454 86378820 9002 9i85 25 34 9 5i 9 9677 9 836 9994 . l52 .3n 25 35 9 36 7 955o 9732 9914 ..96 .278 24 35 9. 120469 0627 o 7 85 0943 IIOI 1259 24 36 9.060460 0642 0824,1006 1188 1369 23 36 1417 i5 7 4 1732 1890 2047 2205 23 37 i55i I 7 32 1914^2095 2276 2457 22 37 2362 2520 2677 2835 2992 3i49 22 38 2639 2820 3ooi 3i8i 3362 3543 21 38 33o6 3463 3620 3777 3 9 34 4091 21 3 9 3 7 24 3904 4o85 4265 4445 4626 20 39 4248 44o4 456i 4718 48 7 4 5o3i 20 4o 48o6 4986 5i66 5346 5526 5 70* l 9 4o 5i8 7 5344 55oo 5656 58i2 5969 ! 9 4i 5885 6o65 6244 6424 66o3 6 7 83 18 4i 6125 6281 643 7 65 9 3 6748 6904 18 42 6962 7141 7320 7499 7678 7 85 7 17 42 7060 7216 7 3 7 i 7527 7682 7 838 17 43 8o36 82i5 83 9 3 8572 8751 18929 16 43 799 3 8149 83o4 84^98614 8770 16 44 9107 9286 9464 9642 9820 9998 i5 44 892J 9080 9235 9390 9544 9699 i5 45 9.070176 o354 o532 07090887 io65 i4 45 9 854 ...9 .i63 .3i8 .472 .627 i4 46 1242:1420 1 5 97 1774 1951 2128 i3 46 9.130781 0936 1090 1244 1398 i552 i3 4? 23062482 2609 2 836j3oi3 3190 12 47 1706 i860 20l4 2168 2322 2476 12 48 3366,3543 3719 3896,4072 4248 1 1 48 263o 2783 2 9 3 7 3091 3244 33 9 8 1 1 49 4424 46oo 4777 4952'5i28 53o4 10 49 355i 3704 3858 4oi 1 4i64 43i 7 IO 5o 548o 5656 583i6oo7|6i82 6358 9 5o 4470 4623 4776 4929 5082 5235 9 5i 6533 6708 6883! 7 o58 7 233 7 4o8 8 5i 5387 554o 5693 584515998 6i5o 8 52 7583 77 58 79338107:8282 845 7 7 52 fi3o3 645516607 676056912 7064 7 53 863i 88o5 898o' 9 i54 9328 9502 6 53 7216 7368 7520 7672 7824 7976 6 54 9676 g85o ..24 .198 .S72 .545 5 54 8128 8279 843i 8582 87348886 5 55 9.080719 0892 1066 I23 9 !i4i3 1 586 4 55 9 o3 7 91889340 9491 9642 9793 4 56 i 7 5 9 1932 2105 2278 p45i 2624 3 56 9944 . .96 .247 .3 9 8 .5481. 699 3 5 7 2797 2969 3i4a 33i4i3487 3659 2 5 7 9.i4o85o iooi!ii5i i3o2 i453 i6o3 2 58 383a4oo4 4176 4348 ! 4520 4692 1 58 i754 | i9o4j2o55,23o5 2355 2 5o5 i 5 9 4864j5o36 5208 538o555i 5 7 23 5 9 2655 2806 2956;3io6'3256 34o5 1 r. SO" j 50" 40" 30'' j 20" 10" c 60* | 50" | 40" j 30" t 20" 10* 7! * ! Co-sine of 83 .Degrees. 8 Co-sine of 82 Degrees. , < 1" 2" 3'' 4" 5" 6" 7" 8" 9" '-* \ 18 37 55 74 92 111 12.9 148 166 r.i ^ t J// O// 3// 4// 5// g// 7 // g7 Q & } 16 32 48 C4 80 96 112 128 144 ] Logarithmic ['angents 31 1 Tangent of 6 Degrees. i Tangent of 7 Degrees. 0" 10" | 20" 30" 40" 50 v 0" 10" 20" 30" 40" | 50" c 9.021620 l823 2025 2227 243o 2632 5 9 9.089144 g3i8 9492 9666 9839 ..i3 59 I 2834i3o36 3238 3439 364i 3843 58 1 9.090187 o36i o534 0708 0881 io54 58 2 4o44 4245 4447 4648 4849 5o5o 5? 2 1228 i4oi i5 7 4 I 7 47 1920 2093157 3 525i 5452 5653 5853 6o54 6254 56 3 2266 2439 2612 2784 2 9 5 7 3129J56 4 6455 6655 6855 7o55 7255 7455 55 4 33o2 3474 3647 3819 3991 4i63 55 5 7 655 7 855 8o55 8254 8454 8653 54 5 4336 45o8 468o 485i 5o23 5195 54 6 8852 9052 9251 945o 9649 9848 53 6 536 7 5538 5710 588i 6o53 6224 53 7 9.d3oo46 0245 o444 0642 0841 1039 52 7 63 9 5 656 7 6738 6909 7080 725i 5a 8 f23 7 i435 iG33 i83i 2029 2227 5i 8 7422 7 5 9 3 7764 7934 8io5 8276 5i 9 2425 2623 2820 30x7 32i5 34i2 5o 9 8446 8616 8787 8 9 5 7 9127 9298 5o 10 3609 38o6 4oo3 4200 43 9 7 45 9 4 49 10 9 468 9 638 9808 9978 .i48 .3i 7 4 9 1 1 4791 4987 5i84 538o 55 7 6 5 77 3 48 11 9.100487 0657 0827 0996 1166 i335 48 12 5969 6i65 636i 655 7 6 7 53 6948 47 12 i5o4 1674 i843 2012 2181 235o 47 1 3 7i44 7339 7 535 77 3o 7926 8121 46 i3 2519 2688 2857 3026 3194 3363 46 i4 83i6 85u 8706 8901 9095 9290 45 i4 3532 3700 386 9 4o37 4205 43 7 4 45 i5 9 485 9679 9874 ..68 .262 .456 44 i5 4542 4710 4878 5o46 52l4 5382 44 1 6 9.o4o65i o845 1039 1232 1426 1620 43 16 555o 5 7 i8 5885 6o53 6221 6388 43 17 i8i3 2007 2200 2394 2587 2780 42 17 6556 6723 6890 7o58 7225 7 3 9 2 42 18 2 97 3 3i66 335 9 3552 3 7 45 3 9 3 7 4i 18 7 55 9 7726 7893 8060 8227 83 9 4 4i 19 4i3o 4322 45i5 4707 4899 5092 4o x 9 856o 8727 8894 9060 9227 9393 4o 20 5284 5476 5668 585 9 6o5i 6243 3 9 20 9559 9726 9892 ..58 .224 .390 39 21 6434 6626 6817 7009 7200 7391 38 21 q. no556 0722 0888 io54 1219 i385 38 22 7582 777 3 79648i55 8346 8536 37 22 i55i 1716 1882 2047 2213J2378 37 23 8727 8917 9108 9298 9489 9679 36 23 2543 2708 2873 3o39 32o4:3368 36 24 9869 I..59 .249 .439 .629 .818 35 24 3533 36 9 8 3863 4028 4192U357 35 25 9.o5ioo8 1 197 1387 i5 7 6 1766 1955 34 25 4521 4686 485o 5oi5 5i79J5343 34 26 2i44:2333 2522 2711 2900 3o88 33 26 55o7 5671 5835 5 999 6i63 632 7 33 27 327734663654 3843 4o3i 4219 32 27 6491 6655 6818 6982 7i45 7 3o 9 32 28 29 440745964784 5535 f>723 5910 4oo 6l75 635o 65 2 5 6700 6875 2 57 5o44 5198 535i 55o5 5659 58i2 2 58 7o5o 7225 74oo 7 5 7 4 7749|79 2 4 1 58 5 9 66 6119 6272 6425 6579 6732 1 h 8098 8273 84478621 8795^970 5 9 6885 7 o38 7191 7 344 7497J7650 A 60" 50" 40" | 30" 1 20" | 50" 60" 50" 1 40" 30" 20" 1 10" Co-tangent of 83 Degrees. Co-tangent of 82 Degrees. P. 1 , J 1" 2" 3" 4" 5" 6" 7" 8" 9" {! p } 19 37 56 75 94 112 131 150 16S l ' p i 1" 2" 3" 4" 5" 6" l ' in \ 16 33 49 65 81 98 114 8 7 130 4fi 32 L ogahithmic Sines. 17 Sine of 8 Degrees. t Sine of 9 Degrees. o 0" 10" | 30" 30" 40" 50" 0" 10" 20" 30" 40" 50" 9,i43555 37o5 3855 4oo5 4i54 43o4 5 9 9. 194332 4465 45 9 8 4731 4864 4997 59 t 4453 46o3 4752 4902 5o5i 5200 58 1 5129 5262 53 9 5 5527 566o 5792 58 2 5349 5498 5648 5 797 5 9 46 6095 5? 2 5925 6057 6189 6322 6454 6586 5 7 3 6243 6392 654i 6690 683 9 6987 56 3 6719 685i 6 9 83 7ii5 7247 7 3 79 56 4 7 i36 7284 7433 7 58i 77 3o 7878 55 4 75n 7643 777 5 7907 8o38 8170 55 5 80268174 8323 8471 8619 8767 54 5 83o2 8434 8565 8697 8828 8960 54 6 8915 9063 92 1 1 9358 95o6 9654 53 6 9091 9223 9354 9 486 9617 9748 53 7 9802 9949 97 244 .392 .539 52 7 9879 . .11 . 142 .273 4o4 .535 52 8 9 .i5o686 08 34 0981 1128 1275 1422 5i 8 9.200666 0797 0928 1059 1189 l320 5i 9 1669 1716 i863 2010 2157 23o4 5o 9 i45i i582 1712 i843 i 97 3 2104 5o IO 245i 25 97 2744 2891 3o37 3i84 49 10 2234 2365 2495 2626 2756 2886 49 ii 333o 3476 3623 3769 3915 4o6i 48 11 3017 3i47 3277 3407 353 7 366 7 48 12 4208 4354 45oo 4646 4792 4938 47 12 2797 3927 4o57 4i8 7 43i 7 4447 47 i3 5o83 5229 5375 552i 5666 58i2 46 1 3 45 77 4706 4836 4966 5095 5225 46 i4 5 9 57 6io3 62486394 653 9 6684 45 i4 5354 5484 56i3 5 7 43 58 7 2 6002 45 x5 683o 6 97 5 712017265 7410 7 555 44 1 5 6i3i 6260 6389 6519 6648 6777 44 16 7700 7845 799o'8i35 8279 8424 43 16 6906 7o35 7164 7293 7422 7 55i 43 17 8569 8 7 i3 88589002 9147 9291 42 17 7679 7808 79 3 7 8066 8i 9 4 8323 42 18 9435 958o 9724 9868 . .12 .i56 4i 18 8452 858o 8709 8837 8966 9094 4i *9 9. i6o3oi o445 0589,0732 0876 1020 4o J 9 9222 935i 9479 9607 97 35 9864 4o 20 n64 i3o8 i45i 1595 i 7 38 1882 3 9 20 9992 .120 .248 .376 .5o4 .632 39 21 2025 2169 23l2|2456 2599 2742 38 21 9.210760 0888 ioi5 n43 1271 l3 99 38 22 2885 3028 3172 33i5 3458 36oo 37 22 lj>26 i654 1781 1909 2037 2164 37 23 3 7 43 3886 4029 4172 43i4 445 7 36 23 2291 2419 2546 2674 2801 2928 36 24 46oo 4742 4885!5o27 5170 53i2 35 24 3o55 3182 33io 3437 3564 3691 35 25 5454 5597 5739 588i 6023 6i65 34 25 38i8 3945 4071 4198 4325 4452 34 26 6307 6449j659i|6733 68 7 5 7017 33 26 45 79 47o5 4832 4959 5o8o 5212 33 27 7 i5 9 73oo 7442,7584 7725 7867 32 27 5338 5465 5591 5 7 i8 5844 5 97 32 23 8008 8i5o 8291 8432 85 7 4 8 7 i5 3i 28 6097 6223 6349 6475 6601 6728 3i 29 8856 8997 9i38 9279 9420 9561 3o 29 6854 6980 7106 7232 7 358 7483 3o 3o 9702 9843 9984 125 .265 .406 29 3o 7609 77 35 7861 7987 8112 8 2 38 29 3i 9.170547 0687 08280968 1 1 09 1249 28 3i 8363 8489 86i5 8740 8866 8991 28 32 i38 9 i53o 1670J1810 1950 2090 27 32 9116 9242 9 36 7 9492 9618 9743 27 33 223o 2370 25io 265o 2790 2930 26 33 9868 9993 .118 .243 .368 .493 26 34 3070 32io;3349 3489 3629 3 7 68 25 34 9.220618 o 7 43lo368 0993 1118 1242 25 35 3908 4o47 41874326 4465 46o5 24 35 i36 7 1492 1616 1741 1866 1990 24 36 4744 4883 5o22 5i6i 53oo 5439 23 36 21l5 2239 2364 2488 2612 2 7 3 7 23 3? 55 7 S 5 7 i 7 5856 5 99 5 6i34 6273 22 3? 2861 2985 3109 3234 3358 3482 22 38 64n 655o 66886827 6966 7104 21 38 36o6 3730 3854 3 97 8 4l02 4226 21 3 9 7242 7081 75 1 9(7657 7796 7934 20 3 9 4349 4473 45 97 4721 4845 4968 20 4o 8072 8210 83488486 8624 8762 19 4o 5092 52i5 5339 5462 5586 5709 l 9 4r 8900 9o38 9176 93i3 945i 9589 l8 4i 5833 5 9 56 6080 6203 63 2 6 6449 18 42 9726 9864 ...2.139 .276 4i4 17 42 65 7 3 6696 6819 6942 7065 7188 17 43 9. iSo55i 0689 0826 0963 1 1 00 1237 16 43 73n 7434 7 55 7 7680 7803 7925 16 44 i3 7 4 i5i 1 i64S!i785 1922 2059 i5 44 8o48 8171 8294 84i6 853 9 8661 i5 45 2196 2333 2469 ! 20o6 2743 2879 i4 45 8784 8906 9029 gi 5i 9274 9396 M 46 3oi6 3i52 328 9 '3425 3562 3698 i3 46 95i8 9641 9763 9 885 ...7 . i3o i3 4? 3834 3 97 i 4107J4243 43 79 45i5 12 47 9.230252 0374 0496 0618 0740 0862 12 48 465i 4787 4923 5o59 5195 533i 11 4* 0984 1106 1228 1 349 1471 1593 11 49 5466 5602 57381587456009 655i 6686J6822 6i45 10 49 1715 i836 1958 2079 2201 2323 10 5o 62806416 6957 9 5o 2444 2565 2687 2808 2930 3o5i 9 5i 7092 7228 736374987633 7768 8 5i 3172 3293 34j5 3536 365 7 3 77 8 8 52 7 9 o3 8o38 8i 7 3;83o8|8442 85?7 7 5 2 3890 4020 4i4i 4262 4383 45o4 7 53 8912 88478981 91169250 9 385 6 53 4625 4746 4867 4987 5io8 5229 6 54 9 5l 9 9654 9788 9923 ..5 7 .191 5 54 5349 5470 5591 571 1 5832 5952 5 55 9. 190325 o46o o5g4 0728 0862 0996 4 55 6073 6193 63i3 6434 6554 66 7 4 4 56 n3o 1264 1398 i532 i665 1799 3 56 6 79 5 6915 7o35 7 i55 7275 7 3 9 5 3 5 7 1933 2066 2200 2334 2467 2601 2 5? 7 5i5 7 635 77 55 7875 799 5 8n5 2 58 2734 2868 3ooi 3i34 3268 34oi 1 58 8235 8355 8474 85 9 4 8 7 i4 8834 1 5 9 3534 366 7 38oo 3 9 334o66 4199 5 9 8 9 53 9073 9192 9312 9431 955i 1 60" | 50" | 40" 30" j 20" 10" a 60" | 50" 40" 30" | 20" 10" .9 Co-sine of 81 Degrees. Co-sine of 80 Degrees. F. C 1" 2" 3" i" 5" 6" 7" 8" 9" lart } 14 28 42 56 70 85 99 113 127 | P. .'art? l " 2 " T l " 7 >" 6 " 7 " S " 9 " ,11l \ 13 2.") 38 50 r,3 75 88 101 113 ' Lot A R ithmic Tangents 33 1 Tangont of 8 Degrees. d 3 Tangent of 9 Degrees. i *> 0" 10" 20" | 30" 40" 50" 0" 10" 20" 30" 40" 50" o 9.147803 79 55 8108I8261 84i3 8566 5 9 9.199713 949 9985 . 121 .257 .3 9 3 5 9 I 8718 8871 9023 9 i 7 5 9328 9480 58 1 9.200529 o665 0801 o 9 3 7 IO73 1209 58 a 9 632 97 84 9936 .88 .240 .392 5? 2 1 345 i48i 1616 1752 1888 2023 5 7 3 9.:5o544 0696 o848 0999 ii5i i3o3 56 3 2159 2294 243o 2565 2701 2836 56 4 i454 1606 i 7 5 7 1909 2060 2211 55 4 2971 3107 3242 33 77 35i2 3647 55 5 2363 25i4 2665 2816 2967 3n8 54 5 3782 3918 4o53 4i88 4322 445 7 54 6 3269 3420 35 7 r 3722 38 7 3 4023 53 6 4592 4727 4862 4996 5i3i 5266 53 7 4i74 4325 4475 4626 4776 4926 52 7 54oo 5535 566 9 58o4 6938 6073 52 8 5o 77 5227 53 77 5528 56 7 8 5828 5i 8 6207 6342 6476 6610 6 7 44 6878 5i 9 5 97 8 6128 6278 6428 65 7 8 6728 5o 9 7013 7 r 47 7281 74i5 7549 7683 5o IO 6877 7027 7177 7326 7476 7625 4 9 IO 7817 7950 8084 8218 8352 8485 49 ii 777 5 7924 8074 8223 83 7 2 852i 48 11 8619 8 7 53 8886 9020 9i53 9287 48 12 8671 8820 8969 9118 9267 94i6 47 12 9420 9 554 9687 9820 9954 ..87 47 13 9 565 9713 9862 ..11 . 160 .3o8 46 i3 9.210220 o353 o486 0619 0762 o885 46 i4 9. 160457 o6o5 0754 0902 io5i 1199 45 i4 1018 ii5i 1284 1417 i55o i683 45 i5 1 347 1496 1 644 1792 1940 2088 44 i5 i8i5 i 9 48 2081 22l3 2346 2478 44 16 2236 2384 2532 2680 2828 2 97 5 43 16 2611 2 7 43 2876 3oo8 3i4i 3273 43 17 3i23 3271 3418 3566 3 7 i3 386i 42 17 34o5 353 7 3670 38o2 3 9 34 4o66 42 18 4oo8 4i56 43o3 445o 4698 4745 4i 18 4198 433o 4462 45 9 4 4726 4858 4i *9 4892 5o39 5i86 5333 548o 5627 4o T 9 4989 5l2I 5 2 53 5385 55i6 5648 4p 20 5774 5920 6067 6214 636i 6507 39 20 5.78.0 591 1 6o43 6174 63o5 643 7 39 21 6654 6800 6947 7 o 9 3 7240 7386 38 21 6568 6700 683i 6962 7093 7 225 38 22 7532 7678 7825 7971 8117 8263 37 22 73567487 7618 7749 7880 8011 3 7 23 8409 8555 8701 8847 8992 gi38 36 23 81428273 84o3 8534 8665 8796 36 24 9284 943o 9 5 7 5 9721 9866 . . 12 35 24 8926 9057 9188 9318 9449 9579 35 25 9. 170167 o3o3 0448 0593 o 7 3 9 0884 34 25 9710 9840 9971 .101 .23l .36i 34 26 1029 1 1 74 1 319 i464 1609 1754 33 26 9.220492 0622 0752 0882 1012 1142 33 27 1899 2044 2188 2333 2478 2623 32 27 1272 l402 i532 1662 1792 1922 32 28 276712912 3o56 320I 3345 3489 3i 28 2o52 2l82 23ll 2441 2571 2700 3i 29 36343778 3922 4067 4211 4355 3o 29 283o 2959 3089 3218 3348 3477 3o 3o 4499 4643 4787 4931 5075 5 2 i8 29 3o 3607 3 7 36 3865 3994 4124 4253 29 3i 5362 55o6 565o 5 79 3 5 9 3 7 6080 28 3i 4382451 1 464o 4769 48985027 28 32 6224 636 7 65n 6654 6797 6941 27 32 5i56 5285 54i4 5543 56 7 i 58oo 27 33 7084 7227 7 3 7 o 7 5i3 7 656 7800 26 33 5929 6o58 6186 63i5 6443 65 7 2 26 34 7942 8o85 8228 8371 85i4 865 7 25 34 6700 6829 6 9 5 7 7086 7214 7342 25 35 8799 8942 9085 9227 9 3 7 o 9512 24 35 7471 7 5 99l77 2 7 7 855 79 83 8111 24 36 9655 9797 99 3 9 ..82 .224 .366 23 36 823 9 8368i8496l8623 8 7 5i 8879 23 3 7 9. i8o5o8 o65o 0792 0934 1076 1218 22 37 900719135 9263 93oo g5i8 9646 22 38 i36o i5o2 1 644 1786 1927 2069 21 38 977-3 9901 ..29 .i56 .284 .411 21 3 9 2211 2352 2494 2635 2777 2918 20 3 9 9. 2 3o5 3 0106661079 3 0921 io48 1 175 20 4o 3o59 3201 3342 3483 3625 3 7 66 *9 4o i3o2li43o|:557 1684 1811 1938 x 9 4i 3907 4o48 4i8 9 433o 4471 4612 18 4i 2o65,2i92|23i9 2446 2573 2699 18 42 4752 48 9 3 5o34 5i 7 5 53i5 5456 17 42 2826|2953|3o8o 3206 3333 346o 17 43 55 97 5 7 3 7 58 7 8 6018 6i58 6299 16 43 358637133839 3 9 66 4o^2 4219 16 44 6439 65 79 6720 6860 7000 7140 i5 44 4345 447i|45 9 8 4724 485o 4976 i5. j 45 7280 7420 756o 7700 7840 7980 -/ 14 45 5io3 5229|5355 548i 5607 5733 i4 1 46 8120 8259 8399 853 9 8678 8818 i3 46 585 9 5985|6iii 6237 6362 6488 i3 1 47 8 9 58 9097 9236 9376 g5i5 9 655 12 47 6614 67406865 6991 7117 7242 12 ! 48 9794 99 33 ..72 .212 35i .490 11 48 7 368 7493 7619 7744 7870 799 5 11 49 9. 190629 0768 0907 io46 1184 i323iio 49 8120 8 2 4683 7 i 8496 8621 8747 IO 5o 1462 1601 i 7 3 9 1878 2017 2i55 9 5o 8872 8997 9122 9247 9372 9497 9 5i 2294 2432 2571 2709 2848 2986 8 5i 9622 9747 9872 9996 . I2II 246 8 i 52 3i24 3262 34oi 3539 36 77 38i5 7 52 9.240371 0495 0620 0745 0869I0994I 7 53 3 9 53 4091 4229 436 7 45o5 4642 6 53 1118 1243 1367 1492 161 6 1 741 6 54 4780 4918 5o56 5193 533i 5468 5 54 i865 198912114 2238 2362 24S6 5 55 56o6 5 7 43 588i 6018 6i56 6293 4 55 2610 2734 2858 2982 3 1 06 323o 4 i 56 643o 656 7 6705 6842 6979 71 16 3 56 3354 3478 36o2 3726 385o 3974 3 5 7 . 72 53 7 3 9 o 7 52 7 7664 7801 7938 2 57 4097 4221 4345 4468 4592 4 7 i5 2 58 8074 8211 8348 8484 8621 8 7 58 1 58 483 9 4962 5o86 6209 5333 5456 1 li 8894 9o3i 9167 9J04 9440 9576 5 9 55 79 5 7 o3 5826 5949 6072 6196 1 (" 50" 40" ISO" 20" 1 10" 2 GO" J 50" | 40" 30" 20" yT J Co-la ngent of 81 Degrees. Co-tangent of 80 De grees. p. Pnrt 5 l " 2 " 3 " 4 " 5 " 6 " 7 " 8 " 9 " la ") 11 29 43 58 72 86 101 115 130 P. C 1" 2" 3" 4 ' 5" 6" 1 \ 13 26 39 52 65 7)1 7" 91 8" 5 103 1 ie c 34 L OGARITHMIC blJSES. ,. i Sine of 10 Degrees. 8 Sine of 1 1 Degrees. 1 j 0" 10" | 20" | 30" 1 40" 50- 0" | 10" 1 20" 30" 40* 50" o 0.239670 9790J9909I . . 28I . 148 .267 5 9 9.280599)0707(08 1 5 0924 io32 n4o 5 9 I 9.24o386 o5o5 0624 0744 o863 0982I58 I 1248 1 356 1 465 l573 1681 1789 58 2 IIOI 1220 i339;i458 i5 7 6 1695 57 2 1897 2oo5 2Il3 2220 2328 2436 5? 3 1814 io33 2o52 2170 2289 2408 56 3 2544 265212760 2867 2975 3o83 56 4 25262645 2763'2882 3 00 1 3lIQ 55 4 3190 3298 34o6 35i3 362i 3728 55 5 3237 3356 34743592 3711 382Q 54 5 3836 3 9 43 4o5i 4i58 4266 4373 54 6 3 9 47 4o65 4i8443o2 4420 4538 53 6 448o 4588 46 9 5 4802 4909 5017 53 7 4656 4774 4892 5oio 5i28 5245 52 7 5 1 24 523i 5338 5445 5552 565 9 5a 1 8 5363 548i 55 99 5 7 i7 5834 5 9 5 2 5 1 8 5766|58 7 3 5980 6087 6194 63oi 5i / 9 6069 6187 63o5;6422 654o 6657[5o 9 64o8 65i4 6621 6728 6835 6941 5o IO 6775 6892 70097127 7244 736i J4q 10 7048 7 i55 7261 7368 7474 7 58i 4 9 ii 747817596 7713 7830 7947 8o64|48 11 7688 7794 7900 8007 8n3 8220 48 12 818: 8298 8415^532 8649876647 12 8326 8432 8539 8645 8 7 5i 885 7 47 i3 88838999 91 16 9233 935o 9466 46 i3 8964 9070 9176 9282 9388 9494 46 i4 9583 9700 9816 9933 . .49 . 166 45 i4 9600 9706 9812 9918 ..24 . i3o 45 i5 9.250282 0399 o5i5 o63i 07480864 44 i5 9.290236 o342 o447 o553 0659 0765 44 16 0980 1097 I2l3 1329 i445|i56i 43 16 0870 0976 1082 1187 1293 1398 43 7 1677 i 79 3 1909 2025 2141 2257 42 !7 i5o4 1610 1715 1820 1926 2o3i 42 18 .2373 2489 26o5 2720 2836 2952 4i 18 2137 2242 2347 2453 2558 2663 4i *9 3067 3i83 3299^414 353o 3645 4o J 9 2768 2874 2979 3o84 3189 32 9 4 4o 20 3 7 6i 38 7 6 39924107 4223 4338 3 9 20 3399 35o4 3609 3 7 i4 38i 9 3 9 24 39 21 4453 4568 4684'4799 4914 5029 38 21 4029 4i34 4239 4344 4448 4553 38 22 5i44 5259 5374 5490 56o4 5719 37 22 4658 47634867 4972 5o 77 5i8i 37 23 5834 5949 6064 6179 6294 6409 36 23 5286 5391 5495 56oo 5704 5809 36 24 65236638 67536867 6982 7096 35 24 5913 601716122 6226 633o6435 35 25 721117326 744o 7554 7669 7783 34 25 653g 6643 6747 6852 6 9 56 7060 34 26 7898 8012 8126 8241 8355 8469 33 26 7164 7268 7 3 7 2 7476 758o 7684 33 27 8583 8697 8811 8926 9040J9154 32 27 7788 7892 7996 8100 8204 83o8 32 28 9268 9382 9495 9609 9723^9837 3i 28 8412 85i5 8619 8723 88278930 3i 29 99 5i ..65 . 178 .292 4o6 .519 3o 29 9034 9i38 9241 9 345 9448 9552 3o 3o 9.260633 0747 08600974 1087 1201 29 3o 9 655 97 5 9 9862 9966 ..69 . 172 29 3i i3i4 1428 i54i.i654 1768 1881 28 3i 9.300276 o3 79 0482 o586 0689 0792 a 8 32 i 99 4 2107 2220 2334 2447 256o 27 32 0895 0999 1102 I205 i3o8 i4i 1 ^7 33 2673 2786 2899 3oi2 3i25 3238 26 33 i5i4 1617 1720 1823 1926 2029 26 34 335i 3464 35 7 6 368 9 38o2 3915 25 34 2l32 2235 2337 2440 2543 2646 25 35 4027 4i4o 4253 4365 4478 4590 24 35 2748 285i 2954 3o57 3i59 3262 24 36 47o3 48i5 4928 : 5o4o 5i53 5265 23 36 3364 3467 356 9 3672 3774 3877 ?3 37 53 77 5490 56o2 5714 5827 5939 22 3? 3 979 4082 4i84 4287 4389 4491 22 38 6o5i 6i63 6275 6387 6499 661 1 21 38 4593 4696 479 8 4900 5oo2 5io4 21 3 9 6723 6835 6947 7059 7171 7283 20 3 9 5207 5309 54i 1 55i3 56i5 5 7 i 7 20 4o 7 3 9 5 75o6 7618 7730J7841 79 53 *9 4o 58i 9 5921 6023 6i25 6227 6328 *9 4i 8o65 8176 8288 l 8399J85n 8622 l8 4i 643o 6532 6634 6 7 36 6837 6939 18 42 8 7 34 8845 8957 9068 9179 9291 17 42 7041 7142 7244 7346 7447|7 5 49 '7 43 9402 95i3 9624 9736,9847 9958 16 43 765o 77 52 7 853 79 55 8o56S:58 16 44 9.270069 0180 0291 o4o2'o5i3:o624 i5 44 825 9 836o 8462 8563 86648766 i5 45 073510846 0957 1067^ 178 1289 i4 45 8867 8968 9069 9170 92729373 i4 46 i4oo i5io 1621 ! 1 73a; 184211953 i3 46 9474 95 7 5 9676 977798789979 i3 4? 2064 2174 2285 2395 25o5 2616' 12 47 9.310080 0181 0282 o382 o483 o584 12 48 2726 2837 2947,3057.3168 3278 11 48 o685 0786 0886 0987 1088 1189 11 4 9 33883498 36o8 3 7 i8:3829 3939 10 49 1289 1390 1490 1591 1692 1792 10 5o 4049U159 4269 l 4379 , 4489!4598 9 5o 1893 i 99 3 2094 2194 2294 2395 9 5i 47084818 4928 ; 5o38 5i48 5 2 5 7 8 5i 24 9 5 2595 2696 2796 2896 2997 8 52 5367 5477 5586;56 9 6|58o5 5915 7 52 3o 97 3i 97 3297 3397 3497 35 97 7 53 6026 6i34;6243, 6353,646s 6572 6 53 36 9 8 3 79 8 38 9 8 3998 4098 4198 6 54 6681 67901690017009171 18 7227 5 54 4297 4397 4497 4597 4697 4797 5 55 7 33 7 7446 7555 766417773 7882 4 55 4897 4996 5096 5196,5295 5395 4 56 7991 8100 8209 8318,8427 8536 3 56 5495 55 9 4 5694 579315893 5993 3 5 7 8645 8753 8862 8971 9080 9188 2 57 6092 6192 6291 6390(6490 6589 2 58 9297I9406 g5i4 9623 9731 9840 1 58 668916788 6887 6986,7086 7 i85 1 5 9 9948 . .57 .i65 .274). 382 .491 5 9 ' 72847383 7482 75827681 7780 60" ] 50" 40" 30" | 20" 10" 60" ] 50' | 40" 30" | 20" 1 10" Co-sine of 79 Degrees. Co-sine of 78 Degrees. i*. p <1" 2" 3" 4" 5" 6" 7" 8" !)" a \ 11 23 34 45 57 (58 80 91 102 p p C 1" 2" 3" 4" 5" 6" 7" 8" 9" i.iart^ 10 21 31 41 52 62 ?2 g3 93 Logarithmic Tangents 35 i Tangent of 10 Degrees. Tangent of 1 1 Degrees. 0" JO" 20" 30" 40" 50" 0" 10" 20" 30" 40" 50" o 9.246319 6442 6565 6688 68ll 6934 5 9 9.288652 8 7 65 8877I8989 9IO2 9214 53 35 4" 47 . 3" 6' >9 7C ' 7" 82 8" 94 1 9" 06 P. 1 CI" Part} } t 2" 3 22 3 11 ^11 I 43 5" 54 ( f3" 7' J5 75 ' 8" 86 0" 97 36 L OGAtl' 1' H M I C b I N' E S. i S3 Sine of 12 Degrees. 3 Sine of 13 Degrees. I 0" | 10" I 20" | 30" | 40" 50" 0" 10" 1 20" 30" | 40" 50" o 9 . 3i 7879I7978 8077,8176 8275 83 7 4 5 9 O 9.352088 2179,2270 2362 2453 2544 5 9 I 84738572 8671 87698868 8967 58 1 2635 2726-2817 2908 2999 3090 58 2 9066 9165 9263193629461 9559 57 2 3i8i 32 7 2 3363 3454 3545 3636 5 7 3 96589757198559954 ..52 .i5i 56 3 3726 38i 7 3 9 o8 3999 4090 4i8o 5G 4 9.32o 2 49!o348 o446,o545 o643 0742 55 4 4271 4362 4452J4543 4634 4724 55 5 o84ojo938|io37 n35 1233 i33= 54 5 48i5 4906 4996 5087 5i 77 5268 54 6 i43o i528 1626I1724I1822I1921 53 6 5358 5449 553 9 563o 5720 58io 53 7 2019 2117 22l5;23l324lI2509 52 7 5901 5 99 i 6081 6172 6262 635 2 5 2 8 2607 2705 2802I2900 2998 3096 5i 8 6443 6533 6623 6713 68o3 6894 5i 9 3194 3292 338 9 3487 3585 3683 5o 9 6984 7074 7164 7254 7344 7434 5o IO 9.323780 38 7 8 397S U073 4171 4268 4 9 10 9.357524 76i4 7704 7794 7 8S4 7974 4 9 ii 4366 4463 456i!4658 4756|4853 48 11 8064 8 1 54 8243 8333 8423 85i3 48 12 495o 5o48J5i45 5243 5340 5437 47 12 86o386 9 2 878288728962 9o5i 47 i3 5534 5632:5729 5826 5923J6020 46 i3 9141 9231 9320 9410 9499 9589 46 i4 61 17 62i5,63i2 6409 6506(6603 45 i4 96789768 98589947 ..36 .12645 i5 6700 6797 1689416991 7087 7184 44 i5 9.36o2i5 o3o5 o3 9 4 o484 0573 0662 44 16 7281 737874767572 7668 7765 43 16 0752 o84i 0930 1019 1 109 1 198 43 1 733142 17 7862 79 588o558i52 82488345 42 17 1287 i3 7 6 i465 i554i644 18 8442 8538,8635 8 7 3i 88288924 4i 18 1822 1911 2000 2089 2178 226741 J 9 9021 9117 9213 9310 9406 9502 4o *9 2356 2445 2534 2623 271 1 2800 4o 20 9.329599 9695,9791 9888 9984 ..80 39 20 9.362889 2978 3067 3i 56 3244 3333 ! 3f) 21 9.330176 02720368 o465 o56i 0657 38 21 3422 35n 3599 3688 3 777 3865 38 22 o 7 53 0849 0945 io4i n3 7 1233 37 22 3 9 54 4042 4i3i 4220 43o8 4397 37 23 1329 i424|i52o,i6i6 171211808 36 23 4485 45 7 4 4662 475i 483 9 4927 36 24 1903I1999 2095 2191 2286 2382 35 24 5oi6 5io4 5193 5281 536 9 5457 35 25 2478 2573 2669 2764 2860 2g56 34 25 5546 5634 5722 58io 5899 5 9 8 7 34 26 3o5i 3i47|3242 333 7 p4333528 33 26 6075 6i63 625i 633 9 6427 65i6 33 2 7 3624 3719 38i4 3910 4oo5 4ioo 32 27 6604 6692 6780 6868 6 9 56 7044 3a 28 4ig5 4291 4386 448i 4576 4671 3i 28 7i3i 7219 7307 7 3 9 5 7483 7571 3i 29 4767 4862 4957 5o52 5i47J5242 3o 29 7 65 9 7747 7 83 4 7922 8010 8098 3o 3o 9.335337 5432 5527 5622 5 7 i6;58n|2 9 3o 9.368i85 82 7 3836i 8448 8536 8624 29 3i 5906 6001 6096,6191 6285,6380 28 3i 8711 8799 8886 8974 9061 9149 28 32 64 7 5 6570 6664 6759 68546948 27 32 9 236 9324 941 1 9499 9 586 9673:27 33 7043 7i3 7 j7232 7326 7421 75i5 26 33 9761 9848 9936 ..23 . no . 197 26 34 7610 774j7799 7893 7988J8082 25 34 9.370285 0372 0459 o546 o634 0721 25 35 8176 8 27 i!8365 845 9 85538648,24 35 0808 o8 9 5 0982 1069 n56 1243 24 36 8742 88368 9 3o 9024 91 18,9212123 36 i33o 1417 i5o4 1 591 1678 i 7 65 23 3 7 9 3o 7 9401,9495 9589 9683977722 3? i85 2 i 9 3 9 2026 2Il3 2200 2287 22 38 9871 9964 ..58 .i5a .246 .34021 38 2373 2460 254 7 2634 2721 2807 21 39 9.34o434 0528,0621 0715 0809 0903:20 39 2894 2981 3067 3i54 324l 3327,20 4o 9.340996 1090 1184 1277 1371 1464 19 4o 9.373414 35oo 358 7 36 7 4 3760 3S47'i9 4i i558 1652,1745 i83 9 1932 2026 18 4i 3 9 33 4020 4io6 4192 4279 4365 l8 42 2119 2212 23o6 23 99 24932586 J 7 42 4452 45384624 4711 4797 4883 *7 43 2679 2772 2866 2959 3o52 3i45 16 43 4970 5o56 5i42 5228 53i4 54oi 16 44 3239 333 2 !3425 35i8 36n 3704 i5 44 5487 5573|5659 5 7 45 583i 5 9 i 7 i5 45 3 797 3890 ! 3 9 83 4076 41694262 i4 45 6oo3 6089:6175 C261 634 7 6433 1 4 46 4355 4448454i 4634 4727 4820 i3 46 6519 6605J6691 6777 6863 6949 i3 47 4912 5005^098 5191 5283,5376 12 4 7 7o35 7120 7206 7292 7 3 7 8 7464 12 4? 546 9 556i:5654 5747)5839 593211 48 7549 h635 7721 7806 7892 7978 11 49 6024 61 17 6210 63o2|6395 6487 10 49 8o63 81498235 832o84o6|849i ;o 5o 9.346579 66726764 6857169497041 9 5o 9.378577 8662 8 7 48 8833 8919 9004 9 5i 7i34 72267318 7410 75037595 8 5i 9089 9175 9260 9346 943i 9516 8 52 7687 7779,7871 7963!8o56'8i48 7 52 9601 9687 9772 9 85 7 9942 ..28 7 53 8240 83328424 8516J86088700 6 53 9.38on3 0198 0283 o368 o454 0539 6 54 8792 8884(8976 9067 91599251 5 54 0624 0709 0794 0879 0964 1049 5 55 9343 9435 9 5 2 6 9618,9710 9802 4 55 1 1 34 1219 i3o4 i38 9 14.74J 1 559J 4 56 9893 9985 77 i68j.26oj.352 3 56 i643 1728 i8i3 1898 19832068; 3 57 9.35o443 o535 0626 0718,0809 0901 2 57 2162 2237 2322 2406 2491 2576 2 58 0992 1084 1175 1 2661 1 358 i449 1 58 2661 2745 283o 2914 2999 3o84 1 5 9 i54o i63 2 1723 i8i4| 19061 1997 5 9 3i68 3s53 3337 3422 35o6 3591 ^10" _ 1 60" 50". 40" 30" 1 20" I 10" d 8 60" 50" 40" 30" 20" | Co-sine of 77 Degrees. Co-sine of 76 Degrees. P. ( 1" 2" 3" 4" 5" 6" 7" 8" 9" *"> 9 1.0 28 38 47 57 66 76 85 P. < 1" o'/ 3/' 4 5" 6 " 7'/ #1 9" a > 9 18 26 35 44 53 61 70 79 L c . A R I T II M I 1'ansente . 37 i Tangent of 12 Degrees a Tangent of 13 Degrees. 0" 10" 20" 30" 40" 50" 0" 10" 20" 30" 40" 50" o 9.327475 7 5 7 8 7682 77 85 7888 7992 59 9-363364 346o 3556 3652 3 7 48 3844 59 I 8095 8199 83o2 84o5 85o9 8612 58' 1 3g4o 4o36 4l32 4228 4324 4420 58 a 8 7 i5 8819 8922 9025 9128 923l 5 7 2 45i5 46n 4707 48o3 48 99 4994 57 3 9334 9 438 9541 9644 9747 9 85o 56 3 5090 5i86 5282 5377 5473 5568 56 4 9953 ..56 . 159 .262 .365 .468 55 4 5664 5760 5855 5951 6o46 6142 55 5 9.330570 067S 0776 0879 0982 1084 54 5 6237 6333 6428 6524 6619 6 7 i5 54 6 1187 1290 1393 1495 i5 9 8 1701 53 6 6810 6905 7001 7096 7191 7287^3 7 i8o3 1906 2008 2111 22l3 23i6 52 7 7 382 7477 7 5 7 2 7668 7 7 63 7858 52 8 2418 2521 2623 2726 2828 2930 5i 8 7953 8o48 8i43 8239 8334 8429 5i 9 3o33 3i35 3237 334o 3442 3544 5o 9 8524 8619 8 7 i4 8809 8904 8999 5o 10 9.333646 3748 385i 3 9 53 4o55 4i5 7 4 9 10 9.369094 9189 9284 9 3 7 8 9 4 7 3 9 568 4 9 ii 425 9 436 1 4463 4565 466 7 4769 48 11 9663 9758 9853 9947 -.42 -i3 7 48 12 4871 4973 5075 5i 77 5279 538o 47 12 9.370232 0326 0421 o5i6 0610 0705 47 i3 5482 5584 5686 5 7 88 588 9 5 99 i 46 i3 0799 0894 0989 io83 1178 1272 46 i4 6093 6194 6296 6398 6499 6601 45 i4 i36 7 1461 i556 i65o 1744 1839 45 i5 6702 6804 6905 7007 7108 7210 44 i5 1933 2028 2122 2216 23ll 24o5 44 16 73n 74i3 75i4 7615 7717 7818 43 16 2499 25g3 2688 2782 2876 2970 43 *7 7919 8021 8122 8223 8324 8426 42 17 3o64 31S9 3 2 53 334? 344i 3535 42 18 852 7 8628 8729 883o 8q3i 9032 4i 18 3629 3723 38i 7 3911 4oo5 4099 4i *9 9i33 9234 9 335 9436 9537 9638 4o r 9 4193 4287 438i 4475 456 9 4662 4o 20 9.339739 9840 99 4i ..42 .i43 .243 3 9 20 9.374756 485o 4944 5o38 5i3i 5225 3 9 21 9.34o344 o445 o546 o646 0747 0848 38 21 5319 54i3 55o6 56oo 56 9 4 5787 38 22 0948 1049 n5o I25o i35i i45i 3? 22 588i 5 97 5 6068 6162 6255 6349 37 23 i55 2 i65 2 i 7 53 i853 1954 2o54 36 23 6442 6536 6629 6723 6816 6910 36 24 2i55 2255 2355 2456 2556 2656 35 24 7003 7096 7190 7283 7376 7470 35 25 27 5 7 2 85 7 2957 3o57 3i58 3258 34 25 7563 7656 7 7 5o 7843 7 9 36 8029 34 26 3358 3458 3558 3658 3 7 58 3858 33 26 8122 8216 83o 9 8402 8495 8588 33 27 3 9 58 4o58 4i58 4258 4358 4458 32 27 8681 8774 8867 8960 9o53 9146 32 28 4558 4658 4758 4858 4957 5o57 3i 28 9239 9332 9425 g5i8 9611 974 3i 29 5i5 7 5257 535 7 5456 5556 5656 3o 29 9797 9 8 9 9983 .. 7 5 .168 .261 3o 3o 9.345755 5855 5 9 54 6o54 6i54 6253 29 3o 9.38o354 0446 0S39 o632 0725 0817 29 3i 6353 6452 6552 665i 6 7 5i 685o 28 3i 0910 ioo3 1095 1188 1280 i3 7 3 28 32 6949 7049 7i48 7248 7347 7446 27 32 i466 i558 i65i 1743 i836 1928 27 33 7545 7645 7744 7843 7942 8042 26 33 2020 2Il3 2205 2298 2390 2482 26 34 8i4i 8240 833 9 8438 853 7 8636 25 34 2575 2667 2 7 5 9 2852 2944 3o36 25 35 8 7 35 8834 8 9 33 9032 9i3i 9230 24 35 3129 3221 33i3 34o5 3497 358 9 24 36 9329 9428 9527 9626 9724 9823 23 36 3682 3 77 4 3866 3 9 58 4o5o 4142 23 37 9922 . .21 .120 .218 .3i 7 .416 22 37 4234 4326 44i8 45io 4602 46 9 4 22 38 5 ,35o5i4 o6i3 0712 0810 0909 1007 21 38 4786 4878 4970 5062 5i53 5245 21 39 1106 1204 i3o3 1401 i5oo i5 9 8 20 39 533 7 5429 552i 56i2 5704 5 79 6 20 4o 9.351697 179 5 1894 1992 2090 2189 l 9 4o 9-385888 5 979 6071 6i63 6254 6346 X 9 4i 2287 2385 2483 2582 2680 2778 18 4i 6438 6529 6621 6712 6804 68 9 5 18 42 2876 2974 3073 3171 3269 336 7 17 42 6987 7078 7170 7261 7353 7444 17 43 3465 3563 366i 3 7 5 9 385 7 3g55 16 43 7536 7627 7718 7810 7901 7992 16 44 4o53 4i5i 4249 4347 4445 4542 i5 44 8084 8i 7 5 8266 8358 8449 854o i5 45 464o 4738 4836 4934 5o3i 5129 i4 45 863i 8722 8814 8905 8996 9087 i4 46 5227 5324 5422 5520 56i 7 5 7 i5 i3 46 9178 9269 9360 945i 9542 9633 i3 4 7 58 1 3 5910 6008 6io5 6203 63oo 12 47 9724 9815 9906 9997 -.88 .179 12 48 63 y 8 6495 65 9 3 6690 6787 6885 n 48 9.390270 o36i o452 o543 o633 0724 11 49 6982 7079 7177 7274 7 3 7 i 7469 10 49 o8i5 0906 0997 1087 1178 1269 10 5o 9 . 357566 7663 7760 7 85 7 7954 8o52 9 5o 9.391360 i45o i54i i632 1722 i8i3 9 5i 8149 8246 8343 844o 853 7 8634 8 5i 1903 1994 2o85 2175 2266 2356 8 5^ 8731 8828 8925 9022 9119 9216 7 52 2447 2537 2628 2718 2808 2899 7 53 93i3 9409 95o6 9603 9700 9797 6 53 2989 3o8o 3170 3260 335i 344i 6 54 9893 9990 ..87 .184 .280 377 5 54 353i 3622 3712 3802 3892 3 9 83 5 55 9.360474 0570 0667 0763 0860 o 9 5 7 4 55 4073 4i63 4253 4343 4433 4523 4 56 io53 n5o 1246 i343 1439 i535 3 56 46i4 4704 4794 4884 4974 5o64 3 5 7 * i63 2 1728 1825I1921 2017 21l4 2 5 7 5i54 5244 5334 5424 55i4 56o4 2 58 2210 23o6 24o3 2499 2595 2691 1 58 5694 57835873 5 9 63 6o53 6i43 1 J 9 2787 2884 2980 3076 3l 7 2 3268 5 9 6233 6322 6412 65o2 65 9 2 6681 GO" 50" 40" 30'' 20" 10" S3 60" 50" J 40" 30" 20" 10" sj Co-tangent of 77 Degrees. Co-tangent of 7 6 De grees. E P Pirtf J " 2 " 3 " 4 ' 5 " f> " 7 " 8 " 9 " r |l(l 20 30 4} 50 CO 70 80 90 P. f 1 2 " 3" 4" 5" 6" 7" 8" liirt { 9 19 28 37 4G 56 65 74 9" 83 ..J 38 Logarithmic Sixes. .a 25 Sine of 14 Degrees. 4 d Sine of 1 5 Degre jfcS. i O | 10" 20" 1 30" | 40" ) 50" 0" 10" 20" 30" 40" 50" 9.383675 3760 3844 3928 4013J4097 5 9 O 9.412996 3075 3i53 3232 33io 338 9 5 9 I 4182 4266 435o |4435 4519 46o3 58 I 3467 3546 3624 3703 3 7 8i 386o 53 2 4687 4772 4856 4940 5o24 5io8 57 2 3 9 38 4oi6 4095 4173 4252 433o 5 7 3 5192 5277 536i 5445 5529 56i3 56 3 44o8 4486 4565 4643 4721 48oo 56 4 5697 5 7 8i 5865 5949 6o33 6117 55 4 48 7 8 4956 5o34 5lI2 5190 5269 55 5 6201 6285 6369 6452 6536 6620 54 5 534 7 5425 55o3 558i 565 9 5 7 3 ? 54 6 6704 6788j6872;6955 7o3 9 7123 53 6 58i5 5893 5 97 i 6049 6127 6205 53 7 7207 729o | 7374|7458 754i 7625 52 7 6 2 83 636i 6439 65i 7 65 9 5 66 7 3 52 8 7709 77927S767959 8o43 8127 5i 8 6 7 5i 6828 6906 6984 7062 7140 5 1 9 8210 8294^377:8461 8544 8627 5o 9 7217 7 2 9 5 ?3 7 3 745i 7 5 3 8 760G 5o 10 9.388711 87948878:8961 9044 9128 49 10 9.417684 7761 7 83 9 7917 7994 8072 49 ii 9211 929493789461 9544 9627 48 11 8i5o 8227 83o5 8382 846o853 7 48 12 9711 979419877:9960]. .43 . 126 47 12 86i5 8692 8770 884 7 8925 9002 47 i3 9.390210 0293,0376 0459 0542 0625 46 i3 9079 9 i5 7 9234 9312 9389 9466 46 i4 0708 0791 0874 0957 io4o 1123 45 i4 9544 9621 9698 9776 9853 9930 45 i5 1206 i289'i37i i454 i53 7 1620 44 i5 9.420007 oo85 0162 0239 o3i6 0393 44 16 1703 1786 1868 1951 2o34 2117 43 16 0470 o548 0625 0702 0779 o856 43 17 2:99 2282 ! 2365 2447 253o 2613 42 17 0933 1010 1087 1164 1241 i3i8 42 18 2695 2778,286o[2943 3o25 3io8 4i 18 1395 1472 1 549 1626 1703 1780 4x 10 3191 3273j3356j3438 3 7 68 385o3 9 32 352o 36o3 4o *9 i85 7 1933 2010 2087 2164 2241 4o 20 9.393685 4oi5 4097 3 9 20 9.422318 2394 2471 2548 2625 2701 3 9 21 4179 426243444426 45o8 4591 38 21 2778 2855 2931 3oo8 3o85 3i6i 38 22 46 7 3 4755 4837J4919 5oo2 5o84 37 22 3238 33i5 3391 3468 3544 36si 3 7 23 5 1 66 5248,533o 54i2 5494 5576 36 23 3697 3774 385o 3927 4oo3 4o8o 36 24 5658 574o;5822 5904 59866068 35 24 4i56 4233 4309 4386 4462 4538135 25 6i5o 6232 63i4,6395 6477 6559 34 25 46i5 4691 4767 4844 4920 4996 34 26 664 1 6 7 2368o56886 6968 7o5o 33 26 5073 5i49 5225 53oi 53 7 8 5454 33 27 7132 7213,7295 7377 7458 7540 32 27 553o 56o6 5682 5 7 58 5835 591 1 32 28 7621 7703 778517866 794818029 3i 28 5 9 8 7 6o63 6139 62 1 5 6291 6367 3i 29 8m 81928274,8355 84378518 3o 29 6443 65i9 65 9 5 6671 6747 6823 3o 3o 9.398600 8681 87628844 8925,9007 29 3o 9.426899 6 97 5 7o5i 7127 7202 7278 29 3i 9088 91699250 9332 94x3 9494 28 3i 7354 7 43o 75o6 7582 7 65 7 7733 28 32 95 7 5 9657 9738 9819 9900 9981 27 32 7809 7 885 7960 8o36 8112 8187 27 33 9 .400062 Ol44 0225 o3o6 0387 o468 26 33 8263 8339 84U 8490 8566 864 1 26 34 0549 o63o 0711 0792 o8 7 3 0954 25 34 8717 8792 8868 8 9 44 9019 9095 25 35 io35 1116.1197 1277 i358 1439 24 35 9170 9246 9321 9 3 97 94729547 24 36 l520 16011682 1762 i843 1924 23 36 9623 9698 97?4 9849 9924 . . . .I23 37 2oo5 20852166 2247 2328 2408 22 37 9.430075 oi5o 0226 o3oi 0376 o45i 22 38 2489 2570,2650 2731 2811 2892 21 38 0527 0602 0677 0752 0828 0903: 2 1 39 2972 3o53 3i33 3214 3294 33 7 5 20 39 0978 io53 1128 1203 1278 i3542o 4o 9.4o3455 3536 36i6 3697 3777 3857 J 9 4o 9.431429 i5o4 i5 79 i654 1729 1804J19 4i 3g38 40184098 4179 4259 4339 18 4i 1879 1954 2029 2I04 2179 2254 18 42 4420 45oo 458o 4660 4741 4821 17 42 2329 2 4o3 2478 2553 2628 2703117 43 4901 4981 5o6i 5i4i 5221 5302 16 43 2778 2853 2927 3oo2 3077 3i52 16 44 5382 5462 5542 5622 5702 5782 i5 44 3226 33oi 33 7 6 345i 3525 36oo i5 45 5862 5942 6022 6102 6181 6.261 i4 45 36 7 5 3749 3824 3898 3 97 3 4o48i4 46 634i 6421 65oi 658i 6661 6740 i3 46 4l22' 4197 4271 4346 44204495 1 3 4 7 6820 6900 6980 7060 7139,7219 12 4? 4569 4644 4718 479 3 4867 4942 12 48 7299 73 7 8'7458 7538 76177697 11 48 5oi6 5091 5i65 5239 53i4 5388 II 4 9 7777 7856 79 36 8oi5 809518174 10 49 5462 553 7 56n 5685 5760 5834 IO 5o 9.408254 8333.84x38492 8572l865i 9 5o 9.435908 5982 6o56 6i3i 62o5 6279 9 , 5i 8731 8810888918969 9048,9127 8 5i 6353 6427 65o2 6576 665o 6724 8 52 9207 9286 9365J9445 95249603 7 52 6798 6872 6946 7020 7094 7168 7 53 9682 9762 9841(9920 9999 . .78 6 53 7242 7 3i6 7 3 9 7464 7 538 7612 6 54 9./110157 0237 o3i6 0395(0474 o553 5 54 7686 7760 7834 7908 7981 8o55 5 55 o632 0711:0790 0869 094811027 4 55 8129 8203 8277 835i 8424 8498 4 56 1 106 n85 1264 i343 1422 i5oo 3 56 85 7 2 8646 8719 8 79 3 88678941 3 5 7 1579 1 658 1737 1816 1895 1973 2 57 9014 9088 9162 9235 9309 9382 2 58 2052 2l3l 2210 2288 2367 2446 1 58 9456 9530 9603 9677 97 5o 9824 1 5 9 2524 2603,2682 2760 2839:2918 5 9 98979971 ..44 .118 .191 .265 eo" 50" i 40" | 30" | 20" | 10" 3 60" | 50" | 40" 30" 20" 1 10" .S* as Co-sine of 75 Degrees. Co-sine of 74 Degrees. n p < 1" 2" 5" 4" 5" 6" 7" 8" !)" d I 8 1G 24 33 41 49 57 65 73 P. C 1" 2 " 3" 4" 5" 6" 7" 8" 9" lalt ) 8 15 23 30 38 46 53 61 68 Logarithmic Tangents 39 a Tangent of 14 Degrees. E5 Tangent of 15 Degrees. 0" 10" 20" 30" 40" | 50" 0" 10" 20" 30" 40" 50" o 9,396771 6861 6q5o 7040 7i3o 72:9 5 9 O 9.428052 8l3 7 l822I 83o5 838 9 84 7 3 5 9 ~' I 7 3o 9 7 3 99 7 488 7 5 7 8 7667 77 5 7 58 I 8558 8642 8726 88108894 8978 58 2 7846 79 36 8o25 8n5 8204 8294 5 7 2 9062 9146 923o 93i4 9398 9482 5 7 3 8383 8472 8562 865i 8740 883o 56 3 9566 9600 9734 9818 9902 9986 56 4 8919 9008 90^8 9187 9276 9365 55 4 9.430070 01 54 0237 0321 o4o5 0489 55 5 9 455 9544 9 633 9722 9811 9900 54 5 0573 0657 0740 0824 0908 0992 54 6 9990 79 .168 .257 .346 .435 53 6 1075 1 1 59 1243 i326 i4io i494 53 7 9 ,4oo524 06 1 3 0702 0791 0880 0969 52 7 i5 77 1661 1745 1828 1912 i 99 5 52 8 io58 1147 1236 i325 i4i3 i5o2 5i 8 2079 2162 2246 2329 24l3 2496 5i 9 1591 1680 1769 1857 1946 2o35 5o 9 258o 2663 2747 283o 2914 2997 5o IO 9.402124 2212 23oi 2390 2478 '2567 49 IO 9.433o8o 3i64 3247 333i 34i4 3497 49 ii 2656 2744 2833 2922 3oio 3099 48 11 358c 3664 3 7 47 383o 3914 3 997 48 12 3187 3276 3364 3453 354i 363o 47 12 4o8o 4i63 4246 433o 44i3 4496 47 i3 3 7 i8 3807 38 9 5 3 9 83 4072 4i6o 46 i3 4579 4662 4745 4828 4912 4995 46 i4 4249 433 7 44a5 45i4 4602 4690 45 14 5o 7 8 5i6i 5244 5327 5410 5493 45 i5 477 8 4867 4955 5o43 5i3i 5219 44 i5 55 7 6 565 9 5742 58 2 5 5 9 o 7 5990 44 16 53o8 5396 5484 5572 566o 5 7 48 43 16 6073 6i56 6239 6322 64o5 6488 43 i7 5836 5924 6012 6100 6188 6276 42 17 6570 6653 6736 6819 6901 6 9 84 42 18 6364 6452 654o 6628 6716 68o4 4i 18 7067 7i5o 7232 73i5 7 3 9 8 7480 4i *9 6892 6980 7068 7 i55 7243 733i 4o J 9 7 563 7 646 7728 7811 7894 7976 4o 20 9.407419 7 5o 7 7 5 9 4 7682 7770 7 858 3 9 20 9.438059 8i4i 8224 83o6 838 9 8471 3 9 21 79 45 8o33 8121 8208 8296 8384 38 21 8554 8636 8719 8801 8884 8966 38 22 8471 855 9 8646 8 7 34 8821 8909 37 22 9048 9i3i 9213 9296 9 3 7 8 9460 37 23 8996 9084 9171 9259 9346 9434 36 23 9 543 9625 9707 9790 9872 9954 36 24 9621 9609 9696 9783 9871 9958 35 24 9.44oo36 0119 0201 0283 o365 0447 35 25 9.4ioo45 oi33 0220 0307 0395 0482 34 25 0529 0612 0694 0776 o858 0940 34 26 0569 o656 0743 o83i 0918 ioo5 33 26 1022 no4 1 186 1268 i35o i432 33 27 1092 1179 1266 i353 i44i i528 32 27 i5i4 1596 1678 1760 1842 1924 32 28 i6i5 1702 1789 1876 1963 2o5o 3i 28 2006 2088 2170 2252 2334 2416 3i 29 2137 2224 23lO 2397 2484 2571 3o 29 2497 25 79 2661 2743 2825 2907 3o 3o 9-412658 2745 2832 2919 3oo5 3092 29 3o 9.442988 3070 3i52 3234 33i5 33 97 29 3i 3i 79 3266 3352 3439 3526 36i3 28 3i 3479 356o 3642 3724 38o5 388 7 28 32 3699 3 7 86 38 7 3 3959 4o46 4l32 27 32 3 9 68 4o5o 4l32 42l3 4295 43 7 6 27 33 4219 43o6 4392 4479 4565 4652 26 33 4458 453 9 4621 4702 4784 4865 26 34 4?38 48 2 5 4911 4998 5o84 5171 25 34 4947 5028 5no 5191 5272 5354 25 35 5257 5343 543o 55i6 56o3 568 9 24 35 5435 55i 7 55 9 8 5679 5761 5842 24 36 5 77 5 5862 5 9 48 6o34 6120 6207 23 36 5923 6oo5 6086 6167 6248 633o 23 37 6293 63 79 6465 655i 6638 6724 22 37 64n 6492 6573 6654 6735J6817 22 38 6810 6896 6982 7068 7i54 7240 21 38 6898 6979 7060 7141 7222 73o3 21 3 9 7326 74i3 7499 7 585 7671 77 5 7 20 3 9 7384 7 465 7546 7627 7708 7789 20 4o 9.417842 7928 8014 8100 8186 8272 l 9 4o 9.447870 79 5i 8o32 8n3 8i 9 4 8275 J 9 4i 8358 8444 853o 8616 8701 8787 18 4i 8356 843 7 85i8 85 99 8680 8760 18 42 6873 8959 9044 9i3o 9216 9302 17 42 884i 8922 9003 9084 9164 9245 l l 43 9 38 7 9 4?3 9559 9644 97 3o 9816 16 43 9326 9407 9487 9568 9649 97 3o 16 44 9901 9987 ..72 .i58 .244 .329 i5 44 9810 9891 9972 ..52 . i33 .2l3 i5 45 9. 42041 5 o5oo o586 0671 o 7 5 7 0842 i4 45 9.450294 0375 o455 o536 0616 0697 i4 46 0927 ioi3 1098 1184 1269 i354 i3 46 0777 o858 0938 1019 0199 1180 i3 47 i44o i525 1610 1696 1781 1866 12 47 1260 i34i 1 42 1 i5o2 i58 2 1662 12 48 1952 2037 2122 2207 2292 23 7 8 1 1 48 1743 1823 1903 1984 2064 2144 11 49 2463 2548 2633 2718 28o3 2888 10 49 2225 23o5 2385 2465 2546 2626 10 5o 9.422974 3o59 3i44 3229 33i4 3399 9 5o 9. 452706 2786 2867 2947 3027 3107 9 5i 3484 356 9 3654 3 7 3 9 3824 3909 8 5i 3i8 7 3267 334? 3428 35o8 3588 8 52 3993 4078 4i63 4248 4333 44i8 7 52 3668 3 7 48 3828 3908 3 9 88 4o68 7 53 45o3 458 7 4672 47 5 7 4842 4927 6 53 4i48 4228 43o8 4388 4468 4548 6 54 5on 5096 5i8i 5265 535o 5435 5 54 4628 4708 4787 486 7 4947 5027 5 55 55ig 56o4 568 9 5 77 3 5858 5942 4 55 5107 5i8 7 5267 5346 5426 55o6 4 56 ,6027 61 12 6196 6281 6365 645o 3 56 5586 5655 5 7 45 5825 5905 5 9 84 3 5 7 6534j66i 9 6703 6788 6872 6 9 56 2 57 6064 6l44|^223 63o3 6383 6462 2 58 7041 7125 7210 7294 7 3 7 8 7463 1 58 6542 6622 6701 6781 6860 6940 1 5 9 7547|763i 77 i5 7800 7884 7968 5 9 7019 7099I7I78 7258 7337 7417 10' F0" | 50" | 40" 30" 20" 10" .S 60" | 50" J 40" | 30" 20" Co-tangent of 75 Degrees. Co-ta ngen t of 74 D 3gree 3" 7' 19 57 3. r. 1 V i 2 " 3" 4" 5" 6 7" 8 " 9" I 9 17 20 35 43 52 61 09 78 P. i 1" Fart? q 2"~ 3 1G 2. ' 4" 5" 5 33 41 ' '"si 7 " 65 9" 74 to L OGARITHMIO JS1NE8. 4 Sine of 16 Degrees. 1 . Sine of 1 7 Degrees. 1 0" 10' 20" | 30" 40" 50" 0" | 10" 20" | 30" 40 7 50" o 9.44o338 o4n o485o558 o632 0705 5 9 O 9.465935J6004 6o-3j6i42 621 1 6280 59 i 0778 o852 0925 0998 1072 Il45 58 I 63486417 6486)6555 6623 6692 58 2 1218 1292 i365 i438 1 .") 1 1 1 584 57 2 6761 683o 68986967 7o36 7104 5 7 3 i658 1731 180411S77 1950 2023 56 3 7173 7242 73io 7379 7448 75l6 56 4 2096 2170 2243,23l6 2389 2462 55 4 7 585 7653 77*2 7790 7 85 9 7928 55 5 2535 2608 2681 2 7 54 2827 29OO 54 5 7996 8o65 81338202 8270 8338 54 6 2 97 3 3o46 3i 19 3192 3 2 65 333 7 53 6 8407 8475 85448612 8681 8749 53 7 34io 3483 3556 3629 3702 3774 52 7 8817 8886 8 9 54 9022 9091 9 l5 9 52 8 3847 3920 3993 4066 4i38 42 1 1 5i 8 9227 9296 9364 9432 95oo 9569 5i 9 4a84 4356 4429U502 45 7 4 4647 5o 9 9 63 7 97 o5 9773 9842 9910 9978 5o IO 9.444720 4792 48654938 5oio 5o83 49 IO 9.476046 on4 0182 025l 0319 o38 7 4 9 ii 5i55 5228 53oo 5373 5445 55i8 48 11 o455 o523 0591 0659 0727 0795 48 12 5590 5663 5735!58o8 588o 5 9 53 47- 12 o863 0931 0999 1067 n35 I203 47 i3 6025 6097 6170 6242 63i4 638 7 46 T * 1271 1339 1407 i475 i543 1611 46 i4 645g 653i 66o4 6676 6748 6820 45 i4 1679 1746 1814 1882 1950 2018 45 i5 68 9 3 6 9 65 7037 7109 7182 7254 44 i5 2086 2i53 2221 2289 2357 2424 44 16 7326 7 3 9 8 7470 7542 7614 7687 43 16 2492 256o 2628 2695 2763 283i 43 17 77 5 9 7 83i 79 o3 7975 8047,8119 42 J 7 2898 2966 3o34 3ioi 3169 3237 42 18 8191 8263 8335 8407 8479!855i 4i 18 33o4 3372 3439 3507 35 7 5 3642 4i *9 8623 8695 87678838 89108982 4o J 9 3710 3 777 3845 3913 3980 4047 4o 20 9.449054 9126 9198 9269 9341 94i3 3 9 20 9.4741 i5 4182 425o 43i 7 4384 4452 3 9 21 9 485 9 55 7 9628 9700 9772 9844 38 21 4519 458 7 4654 4721 47S9 4856 38 22 99 i5 9987 . .59 . i3o .202 .274 37 22 4923 4991 5o58 5i25 5193 5260 37 23 9.45o345 0417 o488o56o o632 0703 36 23 5327 5394 5462 5529 5596 5663 36 24 o 77 5 o846 09180989 1061 Il32 35 24 5730 5 79 8 5865 5932 5999 6066 35 25 1204 I27 5 i347 ! i4i8 1 48 9 i56i 34 25 6i33 6200 6268 6335 6402 646 9 34 26 i632 1704 1775 i846 1918 1989 33 26 6536 66o3 6670 6 7 3 7 6804 6871 33 27 2060 2132I2203 2274 2345 2417 32 27 6938 7005 7072 7 i3 9 7206 7273 3a 28 2488 255912630 2702 2 77 3 2844 3i 28 734o 7407 7473 7540 7607 7674i3i 29 2915 29863057 3129 32oo 3271 3o 29 77 4i 7808 7875 7941 8008 8075 3o 3o q. 453342 34i33484 3555 3626 36 97 29 3o 9.478142 8209 8275 8342 8409 8476 29 3i 3768 3839|39io 3 9 8i 4o52 4l23 28 3i 8542 8609 8676 8742 8809 8876 28 32 4194 4265!4336 4407 4477 4548 27 32 8942 9009 9076 9142 9209 9275 27 33 4619 4690 4761 4832 4903 4973 26 33 9342 9409 9475 9542 9608 9 6 7 5 26 34 5o44 5n5 5i86 5256 5327 5398 25 34 97 4 1 9808 9874 99 4i ...7 .. 7 4 25 35 5469 553 9 56io568i 5 7 5i 5822 24 35 9.480140 0207 0273 o339 0406 0472 24 36 58 9 3 5 9 63 6o34 6io4 6175 6246 23 36 0539 o6o5 0671 0738 0804 0870 23 37 63i6 6387 6457 65 2 8 ( 65 9 8 6669 22 3? o 9 3 7 ioo3 1069 n'35 iao2 1268 22 38 6 7 3 9 6810 6880 6951 7021 7091 21 38 1 334 i4oo 1467 i533 i5 99 i665 21 3 9 7162 7232 73o3 7373; 7443 75i4 20 3 9 1731 1798 1 864 1930 1996 2062 20 4o 9.457584 7654 7725 7795 7865 79 36 *9 4o 9.482128 2194 2261 2327 2393 2459 *9 4i 8006 8076 8i46 8217 8287 8357 l8 4i 2525 2591 2657 2723 2789 2855 18 42 8427 8497 8567 ! 8638 8708 8778 17 42 2921 2987 3o53 3119 3i85 325i 17 43 8848 8918 8988 9o58 , 9I 28 9198 16 43 33i6 3382 3448 35i4 358o 3646 16 44 9268 9 338 9408:94789548 9618 i5 44 3712 3 77 8 3843 3909 3 97 5 4o4i i5 45 9688 9758 98289898J9968 ..38 i4 45 4107 4172 4238 43o4 4370 4435 r4 46 9.460108 0178 0248 o3i7 0387 0457 i3 46 45oi 456 7 4632 4698 4764 4829 i3 4? 0527 o5 97 0667 0736,0806 0876 12 47 4895 4961 0026 5092 5i58 5223 12 48 0946 ioi5 io85 n55 1224 1294 11 48 5289 5354 5420 5485 555i 5617 11 49 1 364 i433 i5o3 1573 1642 1712 10 49 5682 5 7 48 58i3 58 7 9 5 9 44 6009 IO 5o 9.461782 i85i 1921 1990 2060 2129 9 5o 9.486075 6i4o 6206 6271 633 7 6402 9 5i 2199 2268 2338 2407 2477 2 546 8 5i 6467 G53365 9 8 6664 6729 6794 8 5s 2616 2685,2755 28242894 2 9 63 7 52 G860 6925 6990 7o55 7121 7186 7 Co 3o32 3 1 02 3171 324o 33io 33 79 6 53 725i 7 3i6 7382 7447 7512 7 5 77 6 54 3448 35i8 358 7 3656:3725 3795 5 54 7643 7708 777 3 7 838 79 3 7968 5 55 3864 3 9 33 4002 4072U141 4210 4 55 8o34 8099 81 64 8229 8294 835g 4 56 4279 4348 44l7 44864556 46 2 5 3 56 8424 8489 8554 8619 8684 8749 3 57 4694 47^3 4832 4901 U970 5o39 2 5 7 8814 8879 8 9 44 9009 9074 9 l3 9 3 58 5 108 5177 5246 53i5j5384 5453 1 58 9204 9269 9334 9 3 99 9464 9 5 2 8 1 5 9 5522 5591 566o 5729:5798 5866 5 9 9593 9658 9723 9788 9 853 9918 d 1 &y- 50' 1 40" 30" j 20' 10" .5 2 60" | 50" | 40" 30" 20" 10" Co-sine of 73 Degrees. Co-sine of 72 Degrees. P. < 1" Part? I 1 2" 3' 14 21 4" 28 5" 6" 7" 8" 9" 3fi 43 50 57 G4 p. (1" 2" 3" 4" 5" 6" 7" 8" 9"' a \ 7 13 20 27 33 40 47 53 60 Logarithm i c PaNGENTS 41 __ Tangent of 16 Degrees. Tangent of 17 Degrees. 0" | 10" 20" 30" 40" 50" 0" 10" 20" 30" 40" | 50* o 9.457496 7576 7655 77 35 78l4 7894 5 9 9.485339 54i4 5490 5565 564o|57l5 5 9 I 7973 8o52 8i32 8211 8290 8370 58 1 5 79 i 5866 594l 6016 609216167 58 2 8449 8528 8608 8687 8766 8846 5 7 2 6242 63i 7 6392 646 7 654366i8 5 7 3 8925 9004 9083 9163 9242 9321 56 3 66 9 3 6768 6843 6918 6993 7068 56 4 9400 9479 9 558 9 638 9717 9796 55 4 7i43 7218 7 2 9 3 7 368 7 443 7 5i8 55 5 9875 9954 ..33 . 112 .191 .270 54 5 7 5 9 3 7668 7743 7818 7893 7968 54 6 9.460349 0428 0507 o586 o665 0744 53 6 8o43 8118 8193 8268 8343 84i8 53 7 0823 0902 0981 1060 ii3g 1218 5 12 7 8492 8567 8642 8717 8792 8866 52 8 1297 i3 7 6 i454 i533 1612 1 69 1 5i 8 8941 9016 9091 9166 9240 981 5 5i 9 1770 1849 1927 2006 2085 2164 5o 9 9390 9465 9539 9614 9689 9763 5o IO 9.462242 2321 2400 2478 2557 2636 49 10 9.4898389913 9987 ..62 .i3 7 .211 4 9 ii 2715 2 79 3 2872 2950 3029 3io8 48 11 9.490286 o36o o435 o5io o584 0659 48 12 3i86 3265 3343 3422 35oi 3579 47 12 0733 0808 0882 9 5 7 io3i 1 106 47 i3 3658 3 7 36 38i5 3893 3 97 2 4o5o 40 i3 1 180 1255 1329 i4o4 1478 i55a 46 i4 4128 4207 4285 4364 4442 452i 45 i4 1627 1701 1776 i85o 1924 1999 45 i5 4599 4677 4756 4834 4912 4991 44 i5 2073 2147 2222 2296 2370 2445 44 16 5069 5i47 5226 53o4 5382 546o 43 16 2519 2593 2668 2742 2816 2890 43 17 553 9 56i 7 56 9 55 77 3 585i 5980 42 17 2965 3o39 3n3 3i8 7 3261 3336 42 18 6008 6086 6164 6242 6320 63 9 8 4i 18 34io 3484 3558 3632 3706 3 7 8o 4i *9 6477 6555 6633 6711 6789 6867 4o l 9 3854 3929 4oo3 4077 4i5i 4225 4o 20 9.466945 7023 7101 7179 7 25 7 7 335 39 20 9.494299 43 7 3 4447 452i 45 9 5 466 9 39 21 74i3 749i 7 56 9 7647 7724 7802 38 21 4743 48i 7 48 9 i 4965 5o39 5n3 38 22 7880 7958 8o36 8n4 8192 8269 37 22 5i86 5260 5334 54o8 5482 5556 37 23 83478425 85o3 858i 8658 8 7 36 36 23 563o 5704 5777 585i 5925 5 999 36 24 8814 8892 8969 9047 9125 9202 35 24 6073 6i46 6220 6294 6368 644 1 35 25 9280 9358 9435 95i3 9 5 9 i 9668 34 25 65i5 6589 6663 6 7 36 6810 6884 34 26 9746 9823 9901 9979 ..56 .i34 b3 26 6 9 5 7 7o3i 7io5 7178 7252 7326 33 27 9.470211 0289 o366 o444 0521 0599 32 27 7399 7473 7546 7620 7693 7767 32 28 0676 0754 o83i 0909 0986 io63 3i 28 784i 7914 7988 8061 8i35 8208 3i 29 n4i 1218 1295 i3 7 3 i45o i528 3o 29 8282 8355 8429 85o2 85 7 5 8649 3o 3o 9.471605 1682 i 7 5 9 i83 7 1914 1991 29 3o 9.498722 8796 8869 8 9 43 9016 9089 29 3i 2069 2146 2223 23oo 2 3 77 2455 28 3i 9163 9236 9309 9 383 9456 9529 28 32 2532 2609 2686 2763 2840 2918 27 32 9603:9676 9749 9822 9896 9969 27 33 2995 3072 3i49 3226 33o3 338026 53 9. 5ooo42 on5 0189 0262 o335 0408 26 34 3457 3534 36n 3688 3 7 65 3842 25 34 o48i o555 0628 0701 0774 0847 25 ' 35 3919 3996 4073 4i5o 4227 43o4 p4 35 0920 0993 1066 1 i4o I2l3 1286 24 36 438i 4458 4535 46 1 2 4688 4765 23 36 1359 l432 i5o5 i5 7 8 i65i 1724 23 3 7 4842 4919 4996 5073 5i49 5226 22 37 1797 1870 1943 2016 2089 2162 22 38 53o3 538o5456 5533 56io 5687 21 38 2235 2 3o8 238i 2453 2526 2599 21 3 9 5 7 63 584o 5917 5993 6070 6147 20 39 2672 2745 2818 2891 2964 3o36 20 4o 9.476223J6300J6377 6453j653o 6606 x 9 4o 9.503109 3182 3255 3328 34oo 34 7 3 1 9 41 6683l6 7 59 6836 6 9 i3 6989 7066 18 4i 3546 3619 3691 3 7 64 3837 3910 18 42 7142 7219 7 2 9 5 7 3 7 2 7448 7524 17 42 3982U055 4128 4200 4273 4346 *7 43 7601 7677 7754 7 83o 7906 79 83 16 43 44i8449i 4563 4636 4709 4781 16 44 8o5 9 8i36 82i2 8288 8365 844i i5 44 4854|4926 4999 5072 5i44 5217 i5 45 851785938670 8 7 46 8822I8899 i4 45 528915362 5434 55o7 55 79 5652 i4 46 8975 9o5i 9127 9203 9280 9 356 i3 46 5724 5798 586 9 5941 6oi4 6086 i3 47 943295o8 9 584 9660 97 3 7 9813 12 47 6159 623i 63o3 63 7 6 6448 652o 12 48 988919965 ..4i .117 .193 .269 1 1 48 6593 6665 6 7 3 7 6810 6882 6 9 54 11 49 9.48o345 0421 0497 o3-j3 0649 0725 10 49 7027 7099 7171 7243 73i6 7 388 10 5o 9.480801 0877 0953 1029 no5 1181 9 5o 9.507460 7532 7605 7677 7749 7821 9 5; 1257 i333 1408 i484 i566 i636 8 5i 7893 79 658o38 8110 8182 8254 8 52 1712 1788 i863 i 9 3 9 20l5 2091 7 52 8326 83988470 8542 86i4 8687 7 53 2167 2242 23i8 2394 2470 2545 6 53 8 7 5 9 883i 8903 8975^9047 9119 6 54 2621 2697 2772 2848 2924 2999 5 54 9191 9263j9335 940/(9479 955i 5 55 3075 3i5i 3226 33o2 33 77 3453 4 55 9622 96949766 9838 9910 9982 4 56 3529 36o4 368o 3 7 55 383i 3906 3 56 y.5ioo54 0126 0198 0269 o34i o4i3 3 5 7 3982 4o5 7 4i33 4208 4284 435 9 2 57 o485 o557 0629 0700 0772 o844 2 58 4435 45io4585 466i 4736 4812 1 58 0916 0987 1059 ii3i I2o3 1274 1 5 9 4887 49625o38 5n3 5i88 5264 5 9 1 346 1418 1489 i56i i633 1704 60" 50" | 40" 30" 20" 10" (0" 50" | 40" 30" SO" 10" s Co-tangent of 73 Degrees. Co-tangent of 72 Degrees. P Pirt S l " ~" 3 " 4 " 5 " 6 " 7 " 8 " 9 " | 8 15 23 31 39 46 54 62 70 p p A 1 " 2" 3" 4" 5" 6" 7" 8" 9" JMarW 7 13 22 29 37 41 51 5g 66 42 t OGARITHMIC SlNES. i 7. O Sine of 1 8 Degrees. a 2 Sine of 19 Degrees. 5o 0" 10" 20" 30" | 40" 50" 0" | 10" 20" 30" 40" 50" 9.48998? , . 4-y j . 112 . 177 .24l .3o6 5 9 9.512642 2703 2764I2825 28*6 2 9 48 I 9.490371 o436 o5oo o565 o63o 0695 58 I 3009 3070 3i3i 3192 3253 33i4 58 2 o 7 5 9 0824^889 0953. 1 01 8 1082 5? 2 33 7 5 3436 3497 3558 3619 368o 57 3 1147 1212 1276 i34i i4o5 U70 56 3 3 7 4i 38o2 3863 3924 3 9 85 4o46 56 4 i535 1599 1664 1728.1793 i85 7 55 4 4107 4i68 4229 4289 435o 44n 55 5 1922 19862051 2ii5 2179 2244 54 5 4472 4533 45 9 4 4655 47i5 4776 54 6 23o8 237324372502 2566 263o 53 6 433 7 4898 4959 5019 5o8o 5i4i 53 7 2695 27591282328882952 3oi6 52 7 5202 5262 5323 5384 5445 55o5 52 8 3o8i 3i45J3209 > 3273;3338 3402 5i 8 5566 5627 568 7 5743 5809 5869 5i 9 3466 353o 3595 3659'3723 39i5 3 9 8o'4o44 4io8 3787 5o 9 5930 5 99 i 6o5i 61 12 6172 6233 5o IO 9.49385i 4172 4 9 10 9 516294 6354 64i5 6475 6536 65 9 6 4 9 ii 4236 43oo4364 4428 4492 4556 48 ti 6657 6717 6778 6838 6899 6959 48 12 4621 46S5 , 4749 l 48i3 48 77 494i 47 12 7020 7080 7141 7201 7262 7322 4? i3 5oo5 5o6g 5i33 5196 5260 5324 46 i3 7382 7443 75o3 7564 7624 7684 46 i4 5388 545255i6558o 5644 5708 45 i4 7745 7805 7865 7926 7986 8o46 45 i5 5772 5835 589959636027 62i8 | 6282 i 6346 64io 6091 44 i5 8107 8167 822782878348 84o8 44 16 6i54 6473 43 16 8468 8528 858 9 8649 8709 8769 43 *7 6537 6601 6664 6728 6792 6856 42 *7 88298890 8950 9010 9070 9i3o 42 18 6919 6983 7047 7110 7174 7 23 7 4i 18 9190 9200 931 1 9371 943i 9491 4i *9 73oi 7365 7428 7492 7 555 7619 4o *9 955i I961 1 9671 97 3i 9791 985i 4o 20 9.497682 7746 7810^873 79 3 7 8000 39 20 9.51991 1 [9971 ..3i ..91 .i5i .211 39 21 8064 8127 8190 8254 83i 7 838i 38 21 9.520271 o33i 0391 o45 1 o5n 0571 38 22 8444 85o8 85 7 i 8634 8698 8761 37 22 o63i 0691 0750 0810 0870 0930 37 23 8825 8388 895i'90i5 9078 9141 36 23 0990 io5o 1 no 1169 1229 1289 36 24 9204 9268 g33i 9394 9 458 9521 35 24 1349 1409 i468 i5 2 8 1 588 1 648 35 25 9584 964797109774 9 83 7 9900 34 25 1707 1767 1827 1887 1946 2006 34 26 9963 . .26 . .90, . 1 53 .216 .279 33 26 2066 2125 2i85 2245 23o4 2364 33 27 9. 5oo342 o4o5 o468 o53i o5g4 o658 32 27 2424 2483 2543 2602 2662 2722 32 28 0721 0784 0847 0910 o 97 3 io36 3i 28 2781 2841 2900 2960 3019 3079 3i 20 1099 11621225:1288 i35i i4i4 3o 29 3i38 3198 3 2 5 7 33i 7 3376 3436 3o 3o 9.501476 1539 1602 i665 1728 1791 29 3o 9.523495 3555 36i4 36 7 4 3733 3792 29 3i i854 1917 1980 2042 2io5 2168 28 3i 3852 3911 3 97 i 4o3o 4089 4i49 28 32 223l 2294 2356 2419 2482 2545 27 32 4208 4267 4327 4386 4445 45o5 27 33 2607 2670 2733 2796 2858 2921 26 33 4564 4623 4683 4742 48oi 4860 26 34 2984 3o46 3109 3172 3234 3297 25 34 4920 4979 5o38 5o 97 5i56 52i6 25 35 336o 3422 : 3485:3548 36io 36 7 3 24 35 52 7 5 5334 5393 5452 55i2 55 7 i 24 36 3 7 35 3798 386o ! 3923 3985 4o48 23 36 563o 568 9 5 7 48 58o 7 5866 5925 23 3 7 4no 417342354298 436o 4423 22 37 5 9 84 6o44 6io3 6162 6221 6280 22 38 4485 4548!46io4673 4735 4797 21 38 633 9 63 9 8 645 7 65i6 65 7 5 6634 21 3 9 4860 4922 4985^047 5109 5172 20 39 6693 6752 6811 6870 6928 6987 20 4o 9.5o5234 5296 5359^421 5670 5732 5794 5483 5545 l 9 4o 9.527046 7io5 716417223 7282 7341 J 9 4i 56o8 5857 ^919 l8 4i 7400 7459 7 5i 7 7 5 7 6 7635 7694 l8 42 5981 6o43 6106 6168 623o 6292 17 42 77 53 781 1 7870 7929 7988 8047 17 43 6354 6416 64786541 66o3 6665 l6 43 8io5 8i64 8223 8282 834o 83 99 16 44 6727 67896851 6913 6975 7037 i5 44 8458 85i6 8575 8634 8692 8 7 5i i5 45 7099 7161 7223 7285 7347,7409 i4 45 8810 8868 8927 8986 9044 9103 i4 46 7471 7533 7595 7657 7719 7781 i3 46 9161 9220 9279 9337 9396 9454 13 47 7343 7905 796718028 8090 8i5 2 12 4 7 95i3 9571 9630 9688 9747 9 8o5 12 48 8214 82 7 68338 84oo 846i 8523 11 48 9864 9922 9981 ..3 9 ..98 .i56 n 49 8585 8647 8709,8770 8832 88 9 4 10 49 9.53o2i5 0273 o33i 0390 o448 o5o7 10 5o 9 508956 9 OI 7 1 979 9 I 4i 9202 9264 9 5o 9.53o565 0623 0682 0740 0798I0857 9 5i 9326 9387.94491951 1 9572 9634 8 5i 0915 0973 io32 1090 1 148 1207 8 52 9696 975798199880 9942 ...4 7 52 1265 i323 i38i 1 44o 1498 i556 7 53 9 5ioo65 0127 0188 025o o3n 0373 6 53 1614 1673 1731 1789 1847 1905 6 54 o434 0496 05570619 0680 0742 5 54 1963 20222080 2i38 2196 2254 5 55 oSo3 o865 0926 0987 1049 mo 4 55 23l2 2370 2428 2487 2545 2603 4 56 1172 1233 1294' 1 356 1417 1478 3 56 266l 2719 2777 2835 2893 2951 3 5? i54o 1 60 1 1662 1724 17.85 1 846 2 5? 3009 3067 3i25 3i83 324l 3299 2 58 1907 1969 2o3o 2091 2l52 22l4 1 58 335 7 34i5 3473 353i 358 9 364? 1 5 9 2275 2336 2397)2458 2520|258l 5 9 3704 3762)3820 3878 3 9 36 3994 .3 UO" 50" 40" 1 30" 1 SO" 1 10" R 60" 50" | 40" 30" 20" . Co-sine of 71 Degrees. Co-sine of 70 Degrees. P. p C 1" 2" 3" 4" 5" 6" 7" 8" 9" ra n \ 6 13 19 25 31 38 44 50 57 P. v . $ 1" 2" 3" 4" 5" 6" 7" 8" 9" lart 6 12 18 24 30 36 42 48 54 : Logarithmic Tangents 43 I s Tangent of 18 Degrees. ,0 *3 Tangent of 1 '.) Degrees. l 0' | 10" 20" 30" | 40" 50" 0" 10" 20" 30" 40" 50" o 9.511776 1 848 1919 1991 2063 2i34 5 9 9.536972 7040 7109 7177 7245 73i4 5 9 I 2206 2277 2349 2420 2492 2564 58 I 7382 745o 7619 7 58 7 7655 7724 58 2 2635 2707 2778 285o 2921 2993 57 2 7792 7860 7929 7997 8o65 8i33 57 3 3o64 3i36 3207 3278 335o 3421 56 3 8202 8270 8338 84o6 84758543 56 4 3493 3564 3636 3707 3778 385o 55 4 8611 8679 8747 88168884 3 9 5 2 55 5 3921 3992 4o64 4i35 4206 4278 54 5 9020 9088 9i56 9224 9293 9361 54 6 4349 4420 4492 4563 4634 4705 53 6 9429 9497 9565 9 633 9701 9769 53 i : 4777 4848 4919 4990 5o62 5i33 52 i 9 83 7 9905 9973 ..4i .109 .177 52 ! 8 5204 5275 5346 54i7 5489 556o 5i 8 9.540245 o3i3 o38i 0449 0517 o585 5i 9 563i 5702 5 77 3 5844 5915 5 9 86 5o 9 o653 0721 0789 0857 0925 0993 5o IO 9.5i6o57 6129 6200 6271 6342 64i3 49 10 9.541061 1128 1196 1264 i332 i4oo 49 ii 6484 6555 6626 6697 6768 683 9 48 11 1 468 i536 i6o3 1671 1739 1807 48 12 6910 6981 7052 7123 7 i 9 3 7264 47 12 1875 1943 2010 2078 2l46 22l4 47 l3 7335 7406 7477 7548 7619 7690 46 i3 2281 2349 2417 2485 2552 2620 46 i4 7761 7 83i 7902 7973 8o44 8n5 45 i4 2688 2755 2823 2891 2958 3026 45 i5 8186 8 2 56 8327 83 9 8 8469 853 9 44 i5 3094 3i6i 3229 3297 3364 3432 44 16 8610 8681 8 7 52 8822 88 9 3 8964 43 16 3499 3567 3635 3702 3 77 o 383 7 43 17 9034 9io5 9176 9246 9 3l 7 9 388 42 17 3905 3 97 2 4o4o 4107 4175 4242 42 18 9 458 9529 9600 9670 97 4i 9811 4i 18 43io 4377 4445 45i2 458o 4647 4i *9 9882 9953 ..23 .. 9 4 .164 .235 4o J 9 47i5 4782 485o 4917 4985 5o52 4o 20 9.52o3o5 0376 o446 o5i7 0587 o658 39 20 g . 545 119 5i8 7 5254 5322 5389 5456 39 21 0728 0799 0869 0939 IOIO 1080 38 21 5524 5591 5658 5726 5793 586o 38 22 ii5i 1221 1292 i362 l432 i5o3 37 22 5928 5995 6062 6129 6197:6264 37 23 i573 i643 1714 1784 i854 1925 36 23 633i 63 9 8 6466 6533 6600 6667 36 24 i 99 5 2o65 2i36 2206 2276 2346 35 24 6 7 35 6802 6869 6 9 36 7003 7071 35 25 2417 2487 2557 2627 2698 2768 34 25 7i38 7205 7272 7339 7406 7473 34 26 2838 290SJ2978 3o48 3 1 1 9 3i8 9 33 26 754o 7608 7675 7742 7809 7876 33 27 3 2 5 9 3329 3399 3469 3539 3609 32 27 7943 8010 8077 8i44 8211 8278 32 28 368o 3750 3820 3890 3960 4o3o 3i 28 8345 8412 8479 8546 86i3 8680 3i 29 4ioo 41704240 43io 438o 445o 3o 29 8747 8814 8881 8948 9015 9082 3o 3o 9.524520 4590 466o 473o 48oo 4870 29 3o 9.549149 9216 9283 9349 9416 9483 29 3i 494o 5009 5o 79 5i49 5219 5289 28 3i 955o 9617 9684 97 5i 9817*9884 28 32 5359 5429 5499 5568 563S 5708 27 32 99 5i ..18 ..85 l52 .218 .285 27 33 5 77 8 5848 5 9 t8 5 9 8 7 6007 6127 26 33 9.55o352 0419 o485 o552 o6i9'o686:26 34 6197 6266 6336 i 64o6 6476 6545 25 34 0752 0819 0886 0952 1019 1086 25 35 66i5 6685 6754J6824 68 9 4 6 9 63 24 35 n53 1219 1286 i353i4i9 148624 36 7o33 7io3 7172 7242 7 3l2 7 38i 23 36 i552 1619 1686 1752 1819I1885 23 37 745i 7520 7590 7660 7729 7799 22 37 1952 2019 2o85 2l52 22l8j2285 22 38 7868 7938 8007 8077 8i46 8216 21 38 235i 2418 2484 2 55i 2617 2684 21 3 9 '8285 8355 8424 8494 8563 8633 20 39 2750 2817 2883 2950 3oi6 3o83 20 4o 9.528702 8772 884i 8910 8980 9049 I 9 4o 9.553i49 3216 3282 3348 34i5 348i 19 4i 9119 9188 9 25 7 9327 9396 9465 l8 4i 3548 36i4 368o 3 7 47 38i3 388o 18 42 9535 9604 9673 9743 9812 9881 l 7 42 3 9 46 4oi2 4079 4i45 4211J4278 17 43 99 5i . .20 ..89 .i58 .228 .297 16 43 4344 44io 4476 4543 4609I4675 16 44 9.53o366 o435 o5o4 0574 o643 0712 i5 44 474i 4808 48 7 4 494o 5oo6 5073 i5 45 0781 o85o 0920 0989 io58 1127 14 45 5i39 52o5 5271 533 7 54o4 5470 i4 46 1196 1265 i334 i4o3 i473 1 542 i3 46 5536 56o2 5668 5 7 34 58oo5867 i3 47 1611 1680 1749 1818 1887 1956 12 4 7 5 9 33 5 999 6o65 6i3i 61976263 12 48 2025 2094 2i63 2232 2301 2370 11 48 6329 63 9 5 646i 6527 6593:6659 11 49 2439 25o8 2 5 77 2646 2715 2784 10 49 672S 6791 685 7 6923 6989 7055 10 5o 9=532853 2921 2990 3o59 3128 3i 97 9 5o 9.557121 7187 7253 7 3i 9 7385 745i 9 5i 3266 3335 34o4 3472 3541 36io 8 5i 7 5i 7 7 583 7649 7 7 i5 7781 7847 8 52 3679 3 7 48 38i6 3885 3 9 54 4023 7 52 79 i3 7978 8o44 8110 8176:8242 7 53 4092 4i6o 4229 4298 436 7 4435 6 53 83o8 8373 8439 85o5 8571 8637 .6 54 45o4 45 7 3j464i 4710 4779 4847 5 54 8703 8768 8834 8900 8966.9031 5 55 4916 4985 5o53 5l22 5191 5259 4 55 9097 9163 9229 9294 9360 9426 4 56 5328 53 9 6 5465 5534 56o2 56 7 i 3 56 9491 9 55 7 9623 9688 9754:9820 3 57 5 7 3 9 58o8 58 7 6 5945 6oi3 6082 2 57 9 885 99 5i ..17 ..82 ,i48 .214 2 58 6i5o 6219 6287 6356 6424 6493 1 58 9.560279 o345 o4io 0476 o542 0607 1 5 9 656i 663o66 9 8 6767 6835 6903 5 9 0673 0738 0804 0869 0935 IOOO P. 60" 50" | 40" 30" | 20" 10" 3 60" | 50" 40" 30" 20" J 10" i Co- tangent of 71 Degrees. Co-tangent of 70 Degrees. 1" 2" 3" 4" 5" 6" 7" 8" 9" * l \ 7 14 21 23 35 42 4!) 5G G3 P fl" 2" 3" 4" 5" 6" 7" 8" 9" ian \ 7 13 20 27 33 40 47 54 CO u Logarithmic Sines. 53 Sine of 20 Degrees. a 2 Sine of 21 Degrees. 1 0" 10" 20" 30" 40" | 50" 0" | 10" | 20" | 30" | 40 7 5C-' o 9.534o52 4no 4167 4225 4283|434l 5 9 O 9.554329 4384 4439 4494J4549 46o3 5 9 j 43 99 4456 45i4 4572 463o 4687 58 I 465847i3 4 7 68 482214877 4932 58 2 474548o3 4861 4918 4976 5o34 5? 2 4987 5o42 5096 5i5i 52o6 5260 5? 5092 5i49 5207 5265 5322 538o 56 3 53i5 5370 5425 5479 5534 5589 56 4 5438|5495 5553 56io 5668 5726 55 4 5643 5698 5753 58o 7 5862 5916 55 5 5 7 83 584i 58 9 8 5 9 56 6014I6071 54 5 5 97 i 6026 6080 6i35 6190 6244 54 6 6:29 6186 6244 63oi 6359 64i6 53 6 J299 6353 64o8 6462 65i 7 65 7 i 53 7 6474 653i 658 9 6646 670416761 52 7 66266680 67356789 6844 6898 52 8 6818 6876 693316991 7048:7105 5i 8 695317007 7062 7116 7171 7225 5i 9 7163 7220 72787335 739217450 5o 9 7280 7334 7388 7443 7497 7552 5o to 9.537507 7564 7622 7679 773617794 49 10 9.557606 7660 77 i5 7769 7823 7878 49 ii 7 85i 7908 7965,8023 80808137 48 1 1 7932 7986 8o4i 8095 8149 8204 48 12 8i 9 4 8252 83o 9 8366 8423S48o 47 12 82588312 8366 8421 84 7 5 852 9 47 i3 853885958652:8709 87668823 46 i3 85838638 8692 8746 8800 8855 46 i4 8880 8938899519052 9109 9166 45 i4 8909I8963 9017 9071 9125 9180 45 i5 9223 9280 9337 9394 945 1 95o8 44 i5 9234 9288 9342 9396 945o 95o4 44 16 9565 9622 96799736 979 3 9850 43 16 9 558 9613 9667 9721 9775 9829 43 17 9907 9964 ..21I..78 .135 . 192 42 J 7 9 883 99 3 7 9991 ..45 99 .i53 42 18 9.540249 o3o6 o363,o420 0477 o533 4i 18 9.560207 0261 o3i5 0369 0423 o4 77 4i r 9 0590 0647 0704 0761 08180875 4o J 9 o53i o585 0639 0693 o 7 4 7 0801 4o 20 9.540931 0988 io45;iio2 1 159 i2i5 3 9 20 9 .56o855 0908 0962 1016 1070 1124 39 21 1272 1329 i386 : i442 1499:1 556 38 21 1178 1232 1286 1339 1393 i44 7 38 22 i6i3 1669 1726,1783 1839 1896 37 22 i5oi i555 1609 1662 1 7 1 6 i 77 o 37 23 1953 2009 2066 2123 2179-2236 36 23 1824 1878 1931 1985 2039 2093 36 24 2293.2349 24o6 2462 25l9 2576 35 24 2146 2200 2254 2307 236i 24i5 35 25 2632 2689 2745 2802 2858:2 9 i5 34 25 2468 2522 2576 2629 2683 2 7 3 7 34 26 2971 3028 3o843i4i 3197,3254 33 26 2790 2844 2898 2951 3oo5 3o58 33 2 7 33 10 3367 3423,3480 35363593 32 27 3lI2 3i66 3219 3273 3326 338o 32 28 3649 3705 3762J3&18 38753 9 3i 3i 28 3433 3487 3541 35 9 4 3648 3 7 oi 3i 29 3987 4o44 4ioo 4i56 4213,4269 3o 29 3 7 55 38o8 3862 3915 3969 4022 3o 3o 9.544325 4382 4438 4494 4776 4832 455o 4607 29 3o 9.564075 4129 4182 4236 4289 4343 29 3i 4663 4719 48884 9 44 28 3i 43 9 6 4449 45o3 4556 46io 4663 28 32 5ooo 5o57 5 1 1 3 5 169 5225 5281 27 32 4716 4770 4823 4876 4930 4983 27 33 5338 5394 545o55o6 5562J56i8 26 33 5o36 5090 5i43 5196 525o 53o3 26 34 5674 5731 5787:5843 58 99 !5 9 55 25 34 5356 5409 5463 55i6 556 9 5622 25 35 6011 6067 6123 6179 6235 6291 24 35 56 7 6 5 7 2 9 5782 5835 5888 5942 24 36 6347 64o3 6459 65i5 65 7 i 6627 23 36 5995 6o48 6101 6i54 6:207 6261 23 3 7 6683 6 7 3 9 6795 685i 6907 6 9 63 22 3? 63i4 6367 6420 64 7 3 6526 65 79 22 38 7019 7 o 7 5 71 3i 7187 7242 7298 21 38 6632 6685 6 7 3 9 6 79 2 6845 689821 3 9 7354 7410 7466 7522 7 5 7 8 7633 20 39 6951 7004 7057 7 IIO 7 i63 7216 20 4o 9.1,7689 77 45 78017857 7912 7968 10 4o 9.567269 7322 7 3 7 5 7 428 7 48i 7534 l 9 4i 8024 8080 81368191 82478303 l8 4i 7 58 7 7640 7693 77 46 7799 7 85 i 18 42 8359 84i4 8470 l 8526:858ij863 7 17 42 7904 79 5 7 8010 8o63 8116J8169 17 43 86938748 880488608915 8971 16 43 8222 8275 832 7 838o 8433 8486 16 44 9027 9082 9138 9193 9249 93o5 i5 44 8539 8592 8644 8697 8 7 5o 88o3 i5 45 936o'94i6 9471 '9527 9582:9638 i4 45 8856 8908 8961 9014 9o6 7 9119 i4 46 . 9 6 9 3 :9749 9805 9860.9916 9971 i3 46 9 I 7 2 9225 9277 933o 9 383 9 436 i3 47 9. 550026.0082 0137 0193 0248 o3o4 12 4 7 9 488 9541 9594 9646 9699 97 52 12 48 0359 p4i5 0470P525J058I o636 11 48 9804 9 85 7 9910 9962 . .i5 ..67 11 49 0692 0747 0802 0858,0913 0968 10 49 9.5 7 oi2o 0173 0225 02 7 8 o33o o383 10 5o 9.55io24'io79 n34 1190 1245 i3oo 9 5o 9.570435 c488 o54i 0593 o646 0698 9 5i 1 356 i4n i466 i52i i5 77 i632 8 5i o 7 5i o8o3 o856 0908 0961 ioi3 8 52 1687 1742 1798 i853 1908 1963 7 52 1066 1118 1 170 1223 I2 7 5 i328 7 53 201^2074 2129 2184 2239 2294 6 53 i38o i433 i485 i53 7 1590 1642 6 54 2349 24o5 2460 25i5 2570 2625 5 54 1695 1747 1799 i852 1904 1956 5 55 26802735 2790 2845 2900 2955 4 55 2009J206l 2II3 2166 2218 2270 4 56 3oio 3o65 3l2I 3176 32oI 3286 3 56 2323 2375 2427 24 7 9 2532 2584 3 5 7 334i 3396 345 1 35o6356o 36i5 2 5 7 . 2636 2688 2741 V 9 4 0100 ?845 2897 2 58 3070 3725 3780 3835 3890 3 9 45 1 58 2950 3002 3o54 3i58 32IO 1 e 9 4ooo;4o55 4i 10 4165,4219 4274 3263]33i5 336 7 34i9 347i 35 2 3 60' | 50" 40" | 30" 1 20" 10" s 60" | 50" | 40" 30" | 20" | 10" d Co-sine of 69 Degrees. Co-sine of 68 Degrees. ; P. p < 1" 2" 3" 4" 5" 6" 7" 8" 9" ra 5 G 11 17 ?3 28 34 39 45 51 _. v . . . ) P. (1" 0" 3" 4" 5" 6" 7 ' 8" 9' art 5 11 16 21 27 32 37 43 48 Logarithmic Tangents. 45 i Tan ~~ 0" gent of 20 Degrees. i a Tangent of 21 Degrees i 10" 20" | 30" 40" 60" 0" 10" 20- 30" j -JO" 60 o y.56io66|u3i 1197 :2b2 1328 1393 5 9 O <4 584177 4240 43o3 4366 4429 4492 5 9 1 r459 i5a4 l590 ;655 1 72 1 I786 58 J 4555 4618 468i 4744 4806 486 9 58 85i 1917 I982 2048 2Il3 2178 5 7 I 4932 4995 5o58 5l2I 5i83 5246 5-; 3 xa44 2309 2375 244o 25o5 2571 56 1 53o9 5372 5435 5498 556o 5623 It 4 <636 2701 2767 2832 2897 2963 55 4 5686!574^ 58u 58 7 4 5 9 3 7 6000 5S 5 '0*28 3og3 3i58 3224 3289 3354 54 5 6062 612S 6188 625i 63i3 63 7 6 54 * f/iT9 3485 355o 36i5 368o 3 7 46 53 6 6439 65oi 6564 6627 6689 6702 5? ; 7 <8ri 38 7 6 3 9 4i 4oo6 4071 4i37 52 7 68i5 68 77 6940 7003 7065 7128 52 ! 3 4202 4267 4332 4397 4462 4527 5i 8 7190 7253 73i6 7 3 7 8 744i 75o3 5i 9 45g3 4658 4723 4788 4^5'; 4918 5o 9 7 566 7629 7691 7754 7816 7879 5o IO 9.564983 5o48 5n3 5i 7 8 5243 53o8 4 9 10 9.587941 8004 8066 8129 8 191 8254 49 ii 53 7 3 5438 55o3 5568 5633 56 9 8 48 11 83i6 83 7 9 844 1 85o4 8566 8629 48 12 5763 5828 58 9 3 5958 6023 6088 47 12 8691 8 7 54 8816 8878)8941 9003 4 7 i3 6i53 6218 6283 6348 64i3 6478 46 i3 9066 9128 9191 9253,9315)9378 46 i4 6542 6607 6672 6737 6802 6867 45 1 4 9440I9502 9 565 9627 969019752 45 i5 6932 6996 7061 7126 7191 7256 44 i5 9814 9877 99 3 9 . ..1 ..63 .126 44 16 7320 7385 745o 7 5i5 7 58o 7644 43 Ki 9.590188 G25o o3i3 0375 0437 0499 43 *7 7709 7774 7 83 9 79 3 7968 8o33 42 17 o562 0624 0686 0748 081 1 0873 42 18 80988162 8227 8292 8356 8421 4i 18 0935 0997 1060 1122 1184 1246 4i r 9 8486855o 86i5 8680 8 7 44 8809 4o l 9 3o8 1370 1433 i495 i55 7 1619 4o SO 9.568873 8938 9003 9067I9132 9197 39 20 g ^<4i^i 1743 i8o5 1868 1930 1992 3 9 21 9261 9326 9390,945519519 9 584 38 21 io54 2116 2178 224o 2302 2364 3b 22 9648 9713 9777 9842 9906 9971 37 22 iiz(j 2488 255o 2612 2674 2 7 3 7 37 23 9,570035 0100 0164 0229 0293 o358 36 23 ^799 2S61 2923 2985 3o47 3109 36 24 0422 0487 o55i 0616 0680 0744 35 24 3171 323232 9 43356 34i8 348o 35 25 0809 0873 0938 1002 1066 :i3i. 34 25 3542 36o436663728 3 79 o 3852 34 26 ik;5 1259J1324 i388 i452jx5f 7 33 26 3914 3976 4o38|4o99 4i6i 4223 33 27 i58i i645 1710 1774 1 S 38 1903 32 27 4285 4347U4094471 4532 45 9 4 3a 28 1967 2o3i 2og5 2l6o 2224 2288 3; 28 4656 47184780U842 4903 4965 3i 29 2352 2417 2481 2545i26o9j2673i3o 29 5027 5089 5i5o!52i2 5274 5336 3o 3o 9.572738 2802 2866|293o|'i994|3o5y!29 3o 9.595398 5459 552i 5583 5644 6706 29 3i 3i23 3i8 7 3 2 5: 33:.^33 7 9l3443 28 3i 5 7 68 583o 5891 5953 6oi5 6076 28 32 3507 35 7 i 3636 3/w3764 3828 27 32 6i38 6200,6261 6323 6385 6446 27 33 3892 3 9 56 4o2o'iio84 4i48 4ai2 26 33 65o8 657o|663iJ6693|6754 6816 6 34 4276 434o 44/-4l4468j4532 4596 25 34 6878 6939'7ooi 7062 7124 7 i85 25 35 466o 4724 478814852 4916 4980 24 35 7247 73097370 7432 7493 7 555 24 36 5o44 5108J5172 5236 5299 5363i23 36 7616 7678:7739 780I 7862 7924 2? 37 5427 5491 5555 5619 5683 5747122 37 79 85 80478108 817O 823l 8293 22 38 58io 58745938 6002,6066 6i3o2i 38 8354 84i58477 8538 8600 8661 2 ; 3 9 6193 62576321 6385|6449 65i2'2o 3 9 8722 8784,8845 890718968)9029 2( 4o 9.576576 66406704 676716J 4o 9.599091 9152 9213 9275 9336,9398 i' ! 1 4i 6959 7022)7086 71 5o 7 2l3 7277 18 4i 9469 9520 9581 9643 970419765 1* 42 734i 74o4 7468 7532 7 5 9 5 7659 17 42 9827 98889949 . . 11 ..72.133 r 43 7723 7786 7850 7914 7977 8o4i 16 43 9.600194 0256 0317 0378 0439, o5oo ie 44 8io4 8i68 ! 823i 8295 8359 8422 i5 44 o562 0623J0684 0745 0806J0868 if 45 8486 854986i3 8676 8 7 4o 88o3 i4 45 0929 0990 io5i iii2:ii74 1235 u 46 8867 89308994 9 o5 7 9121 9184 i3 46 1296 1357 i4i8 i479,i54o 1601 47 9248 g3i 1 9375 9438 9502 q565 12 47 i663 1724 17S5 1846 1907 i 9 68| 48 9629 96929755 9819 9882 9946 11 48 202912090,2151 ] 22 12 2273233AI 49 9. 580009 00720136)0199 0262 o326 10 49 23g5 2456 2517 2578 2639J270O' 5o 9.580389 o453!o5i6 0579 0642 0706 9 5.. 9.602761 2822 2883 2944 3oo5 3o66 5i 0769 08320896 0959 1022U086 8 5i 3i2 7 3i883249 33io337ij3432; e 52 53 n 49 i5aS 1212 1275 1 5g 1 ! 1 655 1339 17x8 l402 I781 i465 i844 7 6 52 53 3493i3554|36i5 385839193980 3675 3730,3797 4o4i U10214162 7 6 54 .907 197112034 2097 2l6o 2223 5 54 42234a844345 440614467 4527 5 55 2286 235o24i3 2476 2539 2602 4 55 4588 4649'47io 4771 '483i 4892 4 56 2665 2728 2791 2854 2917 2980 3 56 4953 5oi4 5074 5 1 35 5 1 961 5257 53i7!5378;5439 55oo 556o 562i 3 57 3o44 3107 3170 3233 3296 335(; 2 57 2 58 5 9 3422 38oo 34853548 3863)3936 36 1 1 3989 36 7 4 4o52 3 7 3 7 in A 1 58 5 9 5682l5742!58o3 5864 5924 P985 6o46|6io6 6167)6228 6288:6349 1 c <" 50" | 40" 30" 30" 10" 3 60" | 50" | 40" 1 30" J 20" | 10" c 2 Co-tangent of 69 Degrees. i Co-tangent of 68 Degrees. P PurtJ l " ~" 3 " 4 " 5 " 6 " 7 " 8 " 9 " ) 6 13 19 2G 32 39 45 51 58 \ . . . P. .U" 2" 3" 4" 5" 6" 7" 8" 9" arl \ 6 12 19 25 31 37 43 49 50 4G 1 iOt. uithmic Sines. "23 J i . i .s Sine of 22 Degrees. 2 Sine 0] Degrees. ! s 0' ) 10" 1 20" i 30" | 40" 50" 0" 10" 20" 30" 40" 50" o 9.5735t5 3628j368o 3 7 32j3 7 84 3836 5 9 O 9.591878 1928 1977 2027 2076 2126 5 9 I 3888 3940 3992'4o44'4o96 4i48 58 I 2176 2225 2275 2324 2374J2423 58 2 4200 4252 43o4 4356 44o8 446o 57 2 2473 2522 2572 2621 2671 2720 5? 3 45i2 l 4564'46i6 4668S472o 4772 56 3 2770 2819 2869 2918 2968 3oi7 56 4 4824 4876 4928498o5o32 5o84 55 4 3067 3n6 3i65 32i5 3264 33i4 55 5 5i36 5187 52395291 5343 53 9 5 54 5 3363 34i2 3462 35n 356i 36iol 54 6 5447 5499!555o 56o2 5654 5706 53 6 365 9 3709 3 7 58 3807 3857 3906 53 7 5758 58io586i 5913 5965 6017 52 7 3g55 4oo5 4o54 4io3 4i53 4202 52 3 6069 6120 6172 6224:6276 6327 5i 8 425i 43oi 435o 4399 4448 4498 5i 9 63 79 643i |648a l 6534i6586 6638 5o 9 4547 45 9 6|4645 4695 4744 479 3 5o to 9.576689 6741 679368446896 6948 49 10 9.594842 4891I4941 4990 5o39 5o88 49 ii 6999 7051I7102J7154 7206 7257 48 1 1 5i3 7 5i86 5 2 36 5 2 85 5334 5383 48 12 7 3o 9 7360 7412 7464 7 5i5 7 567 47 12 5432 548i 553o 558o 5629 56 7 8 47 i3 7618 7670 7721 77737824 7876 46 i3 5 7 2 7 5 77 6 58 2 5 58 7 4 5923 5 97 2 46 i4 7927 7979 8o3o 8082J8133 8i85 45 14 6021 6070 6119 6168 6217 6266 45 l5 8236 82888339 8391 8442 8494 44 i5 63i5 6364 64i3 6462 65n 656o 44 16 8545 85968648 8699 8 7 5i 8802 43 16 6609 6658 6707 6 7 56 68o5 6854 43 T -7 8853 8905 89569008 9059 9T10 4? 17 6903 6952 7001 7o5o 7099 7 i48 42 18 9162 9213 9264*9316 9 36 7 94i8 4i 18 7196 7245 7294 7343 7 3 9 2 744i 4i 10 9470 95219572 9623 9 6 7 5 9726 4o x 9 7490 7539 7 58 7 7636 7685 7734 4o 20 9.579777 982898809931 99S2 ..33 3 9 20 9.597783 783i 7880 7929 7978 8027 39 21 9.58oo85 oi36 0187,0238 0289 o34i 38 21 8075 8124 8i 7 3 8222 8270 8319 38 22 0392 o443 0494 o545 0596 0647 37 22 8368 8417 8465 85i4 8563 8612 37 23 0699 0750 0801 o852 0903 0954 36 23 8660 8709 8 7 58 8806 8855 8904 36 24 ioo5 io56 1107 n58 1209 1261 35 24 8 9 52 9001 9o5o 9098 9147 9195 35 -a5 l3l2 i363|i4i4 i465 i5i6 1567 34 25 0" | 50" | 40" | 30" | 20" I 10" 40 j Co- sine of G5 Degrees. Co-sine of 64 Degrees. P. 1 v i 1" 2" 3" 4" 5" 6" 7" 8" 9" 1 a \ 5 9 14 18 23 28 32 37 42 P. C 1" 0" 3" 4" 5" 6" 1" 8" ldrt } 4 9 13 18 22 2C 31 35 Logarithmic Tangents. 49 0" Tangent of 24 Degrees. r I 30* 40" 50" Tangent of 25 Degrees. 10" 90" 9.643583 8923 9263 o 1 2 3 4 5 6 7 8 9 10 11 12 i3 14 i5 16 7 18 l 9 20 21 22 23 24 25 26 27 28 29 3o 3i 32 33 34 35 36 37 38 3 9 4o 4i 42 43 44 45 46 47 4S 4n 5 > 5 .665366 5x' 864o 8980 9 3l 9 9602 9659 9942 9998 8696 9036 9 3 7 6 97 i5 ..55 0394 0733 1072 i4io 1749 2087 2425 2763 3ioi 3438 3 77 6 4n3 445o 8 7 53 9093 9433 9772 .111 o45o 0789 1128 1467 i8o5 2143 2481 2819 3i5 7 34 9 4 3832 4169 45o6 88108866 9i5o 9206 9.650281 0337 0620 0676 0959 ioi5 1297 1 354 l636 1692 65 1974 2o3i a3i2 2369 c65o 2707 2988 3o44 3326 3382 36633719 4ooo 4o57 4337 4394 4674 4731 4787(4843 5on 5067 5i 2315 1 79 9.655348 54o4 546o 55i6 5684 5740 5796 5852 6020 6076 6i32 6188 6356 6412 6408 6524 C692 6748 6804 6860 7028 7084 7140 7196 7364 7419 7475 753i 7699 7755 781 1 7807 8034809081468202 8369 8425 848i 853 7 9.658704 8760 8816 8871 903919095 91 5o 9206 9373I9429 9485 9540 9708 9763 9819 9875 9.660042 0098 oi53 0209 0376I0431 0487 o543 0710J076510821 0877 io43 1099 1 1 55 1210 i3 77 i432 i488 i544 1710 1766 1821 1877 9.662043 2099 21 54|22 IO 2376 2432 2487 2543 2709 2765i2820 2876 3o42 3097 3 r 53 3375 343o 3485 37073762 33i8 4o3(; 43 7 i 4703 5o35 4094 4426 4758 5090 4i5o 4482 48i4 5 145 3 2 o8 354i 38 7 3 42o5 453 7 4869 52rto 542i|5477|5532 5863 6194 5()ys r ) 7 53|58o8 6029O0846139 636o 64i 5 '>47o 6525 6691 16746 6801 6856 702 1 ,7076 7132 7187 7352 7407,7462 7.517 9489 9829 .168 0507 0846 n85 i523 1861 2200 hz538 2875 32i3 355i 3888 4225 4562 48 99 5236 5572 5908 6244 658o 6916 7252 7 58 7 7922 8258 8592 27 9262 9596 9930 65 o5g8 0932 1266 1 5 99 i 9 32 22 65 25 9 S 29S1 3 2 64 35 9 6 3928 4260 4592 4924 5256 558 7 59 1 8 6249 9 546 >768 801 3 8343 BO" .224 o563 0902 1241 i5 79 1918 2256 2 5 9 4 2932 3269 3607 3944 4281 46i8 4955 5292 5628 5 9 64 63oo 6636 6972 7308 7C43 7978 83i3 8648 8 9 83 9318 9652 9986 0320 o654 0988 l32I 1 655 1988 2^21 2654 2987 3319 365i 3 9 84 43 16 4648 4979 53 1 1 5642 5 97 4 63o5 658b6636 691 1 6966 7242 7297 77 3 7779 2 7 8 47 8068 8ia3 ^17^ S" , >(yS4j^'iS'- )0 s , s563J86i8 7 5 7 2 7903 S233 7627 79 58 O9 I 2 3 4 5 6 ,668673872818782 9002:9057 883 7 ;88q2|8947 9332 9661 999 9 38 7 9716 45 9.67032010375 0649 0977 i3o6 i635 671963 2291 2619 2947 3274 36o2 3929 4257J43n 45844638 4911 U965 9.675237J5292 0703 1032 i36i 1689 2018 2346 2674 3ooi 3329 365 7 3 9 84 9112 9442 9771 .100 0429 o 7 58 1087 i4i6 1744 2072 2400 2728 3o56 3384 371 1 4o38 4366 46 9 3 5019 5346 9497 9826 .i55 o484 o8i3 1 142 1470 1799 2127 2455 2 7 83 3m 3438 3 7 66 4o 9 3|4i48 4420 4475 47474802 5074 5 1 28 9222 9552 9881 .210 0539 0868 "97 i525 i853 2182 25lO 2838 3i65 3493 3820 5564:56i8 56 7 3 29 3o 3i 32 33 34 35 36 37 38 3 9 409 4i 4a 43 44 45 4*'. 47 48 49 5o 9 5i 58905945 621716271 6543 6597 6869 6923 7249 7 5 7 4 7900 8225 855o 7194 7520 7846 8171 9.678496 8821 9146 9471 979 5 9.680120 o444 5 999 6325 665i 6977 73o3 7629 7954 8279 8604 8929 9254 54oi 5 7 2 7 6o53 638o 6706 7032 7 35 7 7683 8008 30" LO" Co-tangent of G5 Degrees. 9200 952519579 9849 9904 0174 022S 04980552 0763J0822 0876 1092 ii46 1200 i4i6 1470 i524 681740 1794 1847 20631211712171 2387 2440 2494 2710 2764 2817 3o33 3087 3i4o 3356. 34io 3463 367937323786 4ooi Uo55 4109 4324 43 77 44'ir 464647oo4753 684963,5o22|5o75 5290 53445397 56i2 5666 5719 5934.5987,6041 f25563o 9 |6363 G5 77 J663o6684 6898 6952,7005 72i 9 ! 7273'7326 7540J7594 7647 7861 791.5 71/1 s 5455 5 7 8i 6108 6434 6760 7086 7412 7737 8062 8334J8388 86598713 89849038 93o89363 9633 9687 9958 . . 12 02820336 0606 0660 0930 0984 1254 1 3o8 1578 i632 1901 1955 2225 2548 287II2925J2979 3i94|3248 33o2 35i 7 3571 3625 38943947 42164270 12 45394592 11 486i 4914 10 5i83 5a36 9 545ij55o5 5558 5773 5827 588o 6o95[6i4 s 6202 64i6 6470J6523 6737 6791 6845 7059 71 1217166 7 38o 7 43 7701 7754 7808 8021 8075 8ia8 9277 9606 9936 .265 0594 0923 I25l i58o 1908 2236 2564 2892 3220 3547 3875 4202 4529 4856 5i83 5509 5836 6162 6488 6814 7140 7466 7791 8117 8442 8767 9092 9417 97 4i ..66 0390 0714 io38 i362 1686 009 5o 58 r n 56 55 54 53 5 a 5i 5o 49 48 47 46 45 44 43 42 4i 4o h 38 37 36 35 34 33 3a 3i 3o 279 2333 2602 2656 384o 4162 4485 4807 5129 00" " W lo" W Co-tangenl of 6-1 Degree* P P, r . S l " ~" :{ " *" >" 6" 7" 8" )" _ PIa,t 6 11 17 -22 28 33 39 45 00 Part ^ 1" 2" 3" 1" [ r> 11 16 22 5 6 r , g,/ 9 /, 27 33 38 43 49 U 50 L OGAR1THM1C S I N E S. i i 9 Sine of 26 Degrees. 1 . a s Sine of 27 Degrees. 1 ST 0" 1 10" [ 20" | 30" 1 40" bO" 0" 10' 20 7 1 30" 40" ) 50" o 9.64I842II885.I928 I97I20I5 2o58 5 9 9.657047 7088 712917171 721.2 7253 I 2 1 01 J2i44 2187^23012273 23l 7 58 I 7295 7336 7 3 77 7 4i8 7/160 75oi 58 2 236o p4o3 2446,2489253212575 5? 2 7542 7584 7625 7666 7707 7749 5? 3 261812661 2704 2747I2790I2833 56 3 7790 783 1 7872 79 i3 79 55 7996 56 4 2877 2920 2963 3oo6 3o49 3092 55 4 8o3 7 8078 8119 8161 8202 8243 55 5 3i35 3178:3221 3264 33o7|335o 54 5 8284 8325 8367 84o8 8449 8490 54 6 33 9 3 3436 3479 3522 3565|36o 7 53 6 853i 85 7 2 86i3 8655 8696 8 7 3 7 53 7 365o 3693,3736 3779J3S22J3865 52 7 8778 8819 8860 8901 8942 8983 5i2 8 3908 395113994 4o37J4o8o 4i23 5i 8 9025 9066 9107 9148 9189 9230 5i 9 4i65 42o8425i 4294i4337 438o 5o 9 9271 9312 9 353 9 3 9 4 9 435 9476 5o IO 9.64442 3 4465'45o8 455ij4594 463 7 4 9 10 g.65 9 5i7 9558 9599I9640 9681 9722 4 9 ii 468o 4722 4765!48o8 485i 48 9 4 48 11 97 63 9804 9845 9886 9927 9968 48 12 4936 4979'5o22J5o65' 5io8 5i5o 47 12 9 .660009 oo5o 0091 Ol32 0173 02l4 47 i3 5193 5236 5279 532i 5364 5407 46 i3 0255 0296 o33 7 0378 0419 o46o 46 i4 545o 5492 5535 55 7 8 562o 5663 45 i4 o5oi o54i o58 2 0623 0664 0705 45 i5 5706 57495791 5834 58 7 7 5919)44 i5 0746 0787 0828 0869 0909 0950 44 16 5962 6oo5 6047 6090 6i33 6i 7 5 43 16 0991 io32 1073 11 14 n54 1195 43 J 7 6218 6260 63o3 6346 6388 643 1 42 17 1236 1277 i3i8 i35 9 i3 99 1 440 42 18 6474 65i6 6559 6601 6644 6686 4i 18 i48i l522 i563 i6o3 i644 1 685 4i J 9 6729 6772 68i4 685 7 6899 6942 4o J 9 1726 I766 1807I184 1889 1929 4o 20 9.646984 70277069 7112 7i54 7197 3 9 20 9.661970 2011 2052 2092 2i33 2174 39 21 7240 7282 7325 7367 7409 7 452 38 21 22l4 2255 2296 2337 2377 2418 38 22 7494 7537 7579 7622 7664 7707 37 22 2459 2499 2 54o 258i 2621 2662 37 23 7749 7792 7834 7877 7919 7961 36 23 2703 2743 2784 2825 2865 2906 36 24 8004 8046 8089 8i3i 8i 7 3 8216 35 24 2946 2987 3028 3o68 3109 3149 35 25 8258 83oi'8343 8385 84288470 34 25 3190 323i 32 7 I 33i2 3352 3393 34 26 85i2 8555 8597 863 9 8682 8724 33 26 3433 3474 35i5 3555 35 9 6 3636 33 2 7 8766 88o9 ; 885i 88 9 3 8 9 36 8978 32 27 36 77 3 7 i 7 3 7 58 3 79 8 383 9 38 79 32 28 9020 9063 9105 9147 9189 9232 3i 28 3920 3960 4ooi 4o4i 4082 4l22 3i 29 9274 9316 9358 9401 9443 9485 3o 29 4i63 4203 4244 4284 43 2 5 4365 3o 3o 9.649527 9570 9612 9 654 9696 9739 29 3o 9.664406 4446 4486 4527 456 7 46o8 29 3i 9781 98239865 9907 9949 9992 28 3i 4648 4689 4729 4769 48 10 485o 28 32 9.65oo34 0076 0118 0160 0202 0245 27 32 4891 4931 4971 5oi2 5o52 5093 27 33 0287 0329 0371 o4i3 o455 0497 26 33 5i33 5i 7 3 52i4 5 2 54 5294 5335 26 34 0539 o582 0624 0666 0708 0750 25 34 53 7 5 54i5 5456 5496 5536 55 77 25 35 0792 08340876 0918 0960 1002 24 35 56i 7 565 7 5697 5 7 38 5 77 8 58i8 24 36 io44 1086 1128 1171 i2i3 1255 23 36 585 9 5899 5939 5 979 6020 6060 23 37 1297 i33g i38i i423 i465 1507 22 37 6100 6i4o 6181 6221 6261 63oi 22 38 1549 1 591 i633 i6 7 5 171611758 21 38 6342 6382 6422 6462 65o2 6543 21 3 9 1800 1842 1884 1926 1968 2010 20 39 6583 6623 6663 6703 6 7 43 6784 20 4o 9.652o52 2094 2i36 2178 2220 2262 J 9 4o 9.666824 6864 6904 6 9 44 6 9 84 7025 J 9 4i 23o4 2345 2387 2429 2471 25i3 18 4i 7065 7io5 7i45 7 i85 7225 7265 l8 42 2555 2597 2638 2680 2722 2764 *7 42 73o5 7346 7386 7426 7466 75o6 17 43 2806 28482890 2931 29733015 16 43 7546 7586 7626 7666 7706 7746 l6 44 3o57 3099 3i4o 3182 32243266 i5 44 7786 7826 7866 7906 7946 7986 l5 45 33o8 3349 3391 3433 347535i6 i4 45 8027 8067 8107 8i47 8187 8227 M 46 3558 36oo 3642 3683 3725 3767 i3 46 8267 8307 8347 8386 8426 8466 i3 4 7 38o8 385o , 38 9 2 3 9 34 3975 4017 12 4 7 85o6 8546 8586 8626 8666 8706 12 48 4059 4ioo 4142 4i84 42254267 11 48 8746 8786 8826 8866 8906 8946 11 49 4309 435o 4392 4434 447 5 45i7 10 4 9 8986 9026 9065 9io5 9145 9 i85 10 5o 9.654558 46004642 4683 4725 4766 9 5o 9.669225 9265 9 3o5 9345 9384 9424 9 5i 48o8 485o'48 9 i 4933 4974 5oi6 8 5i 9464 95o4 9 544 9 584 9624 9 663 8 52 5o58 5099 5i4i 5182 5224 5265 7 52 9703 9743 97 83 9823 9862 9902 7 53 53o 7 5348 53 9 o 543i 547355i4 6 53 9942 9982 . .22 ..61 . 101 .141 6 54 5556 5597 5639 56So 5 7 22 5 7 63 5 54 9.670181 0220 0260 o3oo o34o o3 79 5 55 58o5 58465888 592 9 5971 6012 4 55 0419 0459 0499 o538 0578 0618 4 56 6o54 6095 6i36 6178 6219 6261 3 56 065810697 o 7 3 7 0777 0816 o856 3 57 63o2 63446385 6426 6468 6509 2 57 0896 0935 0975 ioi5 io54 1094 2 58 655i 65 9 2'6633 6675 6716 6757 1 58 n34 1173 I2l3 1253 1292 i332 1 5 9 679 9 684o'688i 6923(6964 7005 5 9 1372 i4n i45i 1490 i53o 1570 GO" | 50" j 40" | 30" | 20" 1 10" ci 60" | 50" | 40" 1 30" 20" | 10" d Co-sine of 63 Degrees. Co-sine of 62 Degrees. P. Fart? \ I 4 2 3 4'/ 8 13 17 5'' ( 21 i " 7" .5 30 8' 34 9" 38 P. ( 1" Part? . 2" 3' 8 15 / 4// > 1G 5" ( 20 i 3" 7' !4 28 8" 32 9" 1 36 j Logarithmic Tangents. 51 Tangent of 26 Decrees. Tangent of 27 Degrees. 30" 9 io ii 12 i3 i4 i5 iC 17 if '9 20 1 21 22 23 I 24 . 1 2D| 26 27 . 2S 29 3o'9 3i 32 33 34 35' 3G 37 389 3 9 409 4i 42 43 44 45 46 47 48 49 5o 9 5i 52 53 54 55 56 57 58 5 9 Ji82J8235|8289 f 834a 85o2 8556 8609 8663 8823887689308983 8395|8449 8716,8769 9i43 9 463 97 83 .690103 o4s3 0742 1062 .691381 1700 2019 2338 2656 2 97 5 32 9 3 36i2 3g3o 4248 .694566 4383 5201 55i8 5836 919619250 93o3 95161957019623 9836 9890 9943 oi56!o2io 0263 0476 o 79 5 1 1 1 5 i434 1753 2072 2391 2710 3028 3346 3665 3 9 83 43oi 4619 0529 0849 1 168 1487 o582 0902 1221 1 54o 90369090J57 9356 o4io "" 9676 9730 9996 . .5o o3i6,o369 06360689 0955 1008 1274 i328 1806 1859 1 594 1913 2125 2178 2232 l647 I966 2285 2444 2497 255o 26o3 2763 28l6 2869'2922 3o8i 3i34 3i8 7 !324o 34oo3453 35o6'3559 3718 3771 3824^877 4o36 U089I4142J4195 435444o7J446o45i3 4672U7244777U830 4936J4989J5042I5095I5148 3J 5254 53o7536o 5412 5465 557i|5624i5677!573oJ5 7 83 5888]594i [5994 6047,6100 6i53 62o6 | 625S|63i 1 6364'64i7 6522 6575 6628 G681J6734 6470 6787 7103 7420 ,697736 8o53 6839 68 9 2 6945!6998 ! 7o5o 7i56 72oc;!7262 l 7 3i4i7367 7473 7525J7578|763i [7684 7 789 '7842. 78941 7947I8000 8io5i8i58i82ii 8263 83I6j28 83G9'842I 8474!852 7 8579 l 863227 86858737879088438895:894826 9001 9o53'9io6 9109 921 1 9264 a5 9316,93699422947495279579124 96329685973797909842989523 9947:. .... .53J. 1 o5. 1 581. 210 22 , 700263 o3i5,o368:o42o o473o525'2i o578[o63o|o683o736Jo788jo84i 20 . 700893 ,0946 09981 1 o5 1 no3 1 1 55 19 1208 1260 i3i3i365i4i8 1470 18 1523.1575 1628 1680 1733 1785 17 183711890 1942J1995I2047I2100 16 21 52 2204,2257 2309J2362 l 24l4 i5 24662519 2571 262326762728 1 4 278i l 2833J2885!2 9 38 2990 ! 3o42 i3 3o 9 5 ri 1 4 7 3i 99 3252 33o4|3356 12 3409 346i 35i3 3566 36183670 1 1 3722 3775382738793932398410 ,7o4o36 4" s -- 4i4i U193U2454297 9 435o 44o2 4454 45o6 455 9 46 1 1 8 46634715U768482048724924 7 497650295081 5i33 5i85 5237 6 52 9 o l 5342:5394 5446 5498 555i 5 56o3 5655 5707 5759 58u 5863 4 , 591615968,6020,6072612461761 3 6228 6280 6333 6385 6437 6489I 2 654i 6593 6645 6697 6749 6801 6854 6906 6958 7010 7062 w jTio"~| 20" Co-tanjrent of (>:> Degrees 71 14 P.Rirt 1" 2" 3" 4" 6" 7' 5 11 16 l Jl 2G 32 37 42 4 w 17 .707166 7478 7790 8102 84i4 8726 9 o3 7 9349 9660 9971 ,710282 0593 0904 I2l5 i5 2 5 i836 2l46 2456 2766 3076 , 7 i3386 36 9 6 4oo5 43i4 4624 4933 5242 555i 586o 6168 ,716477 6785 7218 7270 753ol7582 7322I7374I7426I59 7634 7686j7738|53 78421 7S9417946I7998.8050 57 8i54 32o6" 846685i8 8258 83io 8362156 857086228674 8778I8830 8882J8934J8985 54 9089 9141 9193J9245 9297 53 9401 9453 95o4|9556 | 96oS'52 97i2!9764j98i6,9868 9919 5i . .23 . . 7 5 [ . 127 . 179 ,23i 5o o334 o386jo438io49o'o542 0645I0697I0749 0801 o852 09561 1008: 1059 11 1 1 1 1 63 i3i8ii37o:i422 i474 1267 i5 77 1629 1681 1939 1991 2198 2249 23oi 25o8 256o 261 1 2818 2870 2921 3128 3 1 79 323i 3438 3489 354i 3747 3799 385o 4057 4io8 U160 4366 44i8 4469 4675 4727 4778 4984 5o36 5087 5293 534515396 56o2 5654 5705 591 1 5962 6014 6220 627116322 65286579663116682673429 6836 6888 6939J699i: l 7o42J2S 7093 17 1 45 7196 7247 7299 735o ! 27 1732 1784 2o43 2094 2353 24o5 26632715 2973,3025 32833334 3592I3644 3902I3954J33 4211 4263 37 45ai 4572(36 483ol488i|35 5 1 39|5 190 34 5448:5499133 5757|58o8J32 6o65 61 17 3i 6374 ( 6425;3o 740117453 h5o4 7709 7761 7812 801 7,8o69'8i2o 832518376,8428 8633|8684 8 7 35 8940^991 9043 7 555 7 863 8171 8479 8786 9094 7607 76)8126 7915 7966:25 8223 8274 p4 853o'858i 23 8838.86 9i45 91 96 21 9248,9299 9350:9401 9452 9504 20 4o 9.719555:96069657 9708^760 981 1 19 4i| 9862J9913J9964I..16 . .G 7 :.u8 18 42 9.72OI69 0220 O27I 0322 o374 0425 17 43 0476 0527,0578 0629 0680 0732 16 44 0783J0834 08850936 0987:1038 1 5 45 1 089' 1 1 4o 1191 1243 1294 1 345 1 4 46 13961447 1498 i549 1600 i65ii3 1702*1753 8o4 i855 190611957 12 48 2009 2060 21 1 1 2162 22l3 2264 II 49 23i5;236G 2417 2468 p5i9 2' 509.722621 2672 2723 277428252876 9 5i 2927,2978 J029 3o8o 3i3o'3i8i s 521 14 3385 34 36 3487 7 53 3538 3589 364o369i 3742 3; 54 3844389539453996.40474098 r > 55 4i I94200U251 4302 435344 56 4454,;"- 58 4709 3 57 47604810486149124963,5014 2 58 5o65 5n5;5i66 5217 5268,5319 1 59 5370 5420 '>47i<5522!557'> 5624 60 " J 50" W"_J30" Co-tangcnt of 02 Degrees. j 3 3" 4" 5" 6" 7" 8' ( 1'' PPart f r> 10 13 21 2fi 31 .30 ^ 9' 46 K9 Logarithmic Sinks. - d Sine of 28 Degrees. s Sine of 29 Degrees. 0" 10" 20" 30" 40" 50" 0" 10" | 20" | 30" '5647|5685 \ 4( y/ 50" o 9.671609 1649 1688 1728 1768 1807 5 9 9 . 685571 5609 5723 5761 5 9 I 1847 1886 1926 1965 2005 2o45 58 I 5 799 5837J5875 5gi3 595l 5989 58 2 2084 2124 2i63 2203 2242 2282 57 2 6027 6o65 6io3 6i4i 6178 6216 57 3 2321 236i 2400 244o 2479 2519 56 3 6254 6292:6330 6368 64o6 6444 56 4 2558 2 5 9 8 26372677 2716 2756 55 4 6482 65 1 9 6557 65 9 5 6633 6671 55 5 2 79 5 2835 2874 2914 2953 2992 54 5 6709 6747 6785 6822 6860 6898 54 6 3o32 3071 3m 3i5o 3190 3229 53 6 6g36 6974 7012 7049 7087 7125 53 7 8 3268 33o8 3347 338 7 3426 3465 52 7 7163 7201 7 238 7276 73i4 73j2 52 35o5 3544 3583 3623 3662 3702J51 8 7 38 9 7427 7465 75o3 754i 7 5 7 8 5i 9 3 7 4i 3 7 8o 3820 385 9 38 9 8 3 9 38 5o 9 7616 7654 7692 7729 7767 7805 5o IO 9 6 7 3 977 4oi6 4o56 4095 4i34 417349 10 9.687843 7880 7918 79 56 799 3 8o3i 4 9 ii 42i3 4252 4291 433i 4370 4409U8 1 1 8069 8106 8i44 8182 8220 825 7 48 12 4448 4488 4527I4566 46o6 4645[47 12 8295 8333 83708408 8446 8483 47 i3 4684 4723 4762:4802 484i 488o 46 i3 852i 8559 85 9 6 8634 8671 8709 46 i4 4919 4959 4998 5o37 5076 5n5 45 14 8 7 47 8784 8822 8860 8897 8 9 35 45 i5 5i55 5194 5233 5272 53 1 1 535o 44 i5 8972 9010 9048 9085 9123 9160 U i6 5390 5429 5468 5507 5546:5585 43 16 9198 9235 9273 93n 9348 9 386 43 17 56 2 4 5664 57035742 5781 5820 42 17 9423 9461 9498 9 536 9 5 7 3 9611 42 18 585yj5898 5937 5976 6016 6o55 4i 18 9648 9686 9723 9761 9798 9 836 4i *9 6094 6i33 6172 621 1 625o 6289 4o *9 9 8 7 3 9911 9948 9986 ..23 ..61 4o 20 9.676328 6367 64o66445 6484 6523 3 9 20 9.600098 oi36 0173 021 1 0248 0286 3 9 21 6562. 6601 664o 6679 6718 6757 38 21 o323 o36i 0398 o435 o4 7 3 o5io 38 22 67966835 6874 6913 6952 6991 37 22 o548 o585 0622 0660 0697 0735 37 23 7030J7069 7108 7147 7186 7225 36 23 0772 0809 0847 0884 0922 0959 36 24 7264 73o3 73427381 7420 7459 35 24 0996 io34 1071 ito8 n46 ii83 35 25 7498 7536 75757614 7653 7692 34 25 1220 1258 1295 i332 1370 1407 34 26 77 3i 7770 78097848 7886 7925 33 26 1 444 1482 1519 i556 1594 i63i 33 27 7964 8oo3 80428081 8i2o8i58 32 27 1668 1706 1743 1780 1817 i855 32 28 8197 8236 8275 83i4 8353!83 9 i 3i 28 1892 1929 1966 2004 2041 2078 3i 29 843o 8469 85o8 8547 8585 8624 3o 29 2Il5 2i53 2190 2227 2264 2302 3o 3o 9.678663 8702 87408779 8818:8857 29 3o 9.692339 2376 24l3 245o 2488 2525 2 9 3i 88 9 5 8934 8973 9012 9o5o 9089 28 3i 2562 2599 2636 2674 271 1 2748 28 32 9128 9167 9205 9244 9283 9321 27 32 2785 2822 2859 28972934 297I 27 33 9360 9 3 99 9438 9476 95 1 5 9554 26 33 3oo8 3o45 3o82 3119 3i5 7 3i 9 4 26 34 9 5 9 2 9631 9670 9708:9747 9786 25 34 3 2 3i 3268 33o5 3342 3379 3416 25 35 9824 9 863 990299409979 ..17 24 35 3453 3490 35 2 8 3565 36o2 3639 24 36 9 .68oo56 0095 oi33 0172,0210 0249 2 3 36 3676 3 7 i3 3750 3787 3824 386i 23 3 7 0288 o3 2 6 o365 o4o3,o442,o48i 22 37 38 9 8 3 9 35 3972 4009 4o46 4o83 22 38 o5j9 o558 05*96 o635 0673 0712 21 38 4 1 20 4i5 7 4194 423i 4268 43o5 21 3 9 0750 0789 08280866 0905 0943 20 39 4342 43 79 44i6 4453 4490 4527 20 4o 9.C80982 1020 1059 1097 n36 ".74 J 9 4o 9.694564 4601 4638 46 7 5 47-2 4749 J 9 4i I2l3 I25l 1290 i32<3 i366 i4o5 18 4i 4786 4823 486o 4897 4934 4971 18 42 i443 1482 l520 l559 i5 97 i636 17 42 5007 5o44 5o8i 5n8 5i55 5192 *7 43 1674 171 3 1751,1789 1828 1866 16 43 5229 5 2 66 53o3 533 9 53 7 6 54i3 16 44 1905 1943 I981 2020 2o58 2097 i5 44 545o 5487 55 2 4 556i 5598 5634 i5 45 2i35 2173 2212 225o 228812327 14 45 5671 5708 5 7 45 5782 5819 5855 i4 46 2365 24o3 2442 1 248o l 25l9|2557 i3 46 5892 5929 5 9 66 6oo3 | 6b39 6076 i3 47 25 9 5 2633 2672 27IO.2748 2787 12 4 7 6n3 6i5o 6187 6223:6260 6297 13 48 2825 2863 290212940.2978 3oi6 1 1 48 6334 6370 6407 6444 648i 65i7 II 49 3o55 3093 3i3i 3170,3208 3246 10 49 6554 6591 6628 6664 6701 6 7 38 IO 5o 9. 683284 33 2 3 336i|3399|3437 3475 9 5o 9.696775 6811 6848 68856 9 2i 6 9 58 9 5i 35i4 3552 35903628:3667 3705 8 5i 6995 703117068 7io5 7141 7178 8 52 3 7 43 3 7 8i 3819 3858 3896 3 9 34 7 52 7 2l5" 7 25l 7288 7 325 7 36i 7 3 9 8 7 53 3 97 2 4oio 4o48 4o8 7 l 4i25 4i63 6 53 7435 7471 75o8 7545 7581 7618 6 54 4201 4239 427 7 43i5 4353 43 9 2 5 54 7654 7691 7728 7764 7801 7 838 5 55 443o 4468 45o6 4544'458 2 4620 4 55 7874 7911 7947 7984 8020 8057 4 56 4658 4696 4?35 47734811 4849 3 56 8094 8i3o 8167 820382408276 3 5 7 4887 4925 4963 5ooi 5o39 5o 77 2 5? 83i3 834 9 8386 84238459 8496 * 58 5n5 5i53 5191 5229 5267 53o5 1 58 8532 8569 86o5 86428678 8 7 i5 I 5 9 5343 538i 5419 5457)5495 5533 5 9 8 7 5i 8788 8824 8861 8897 8934 O 60" 50" 40" 30" | 20" 10" s 60" | 50" 40" 30" | 20" 10" . Co-sine of 6 1 Degrees. Co-sine of 60 Degrees. 1 P. p .(1" 2" .3" 4" 5" 6" 7" 8" 9" la } 4 8 12 1G 19 23 27 31 35 P. < 1" 2" 3" 4" 5" 6" 7" 8" rart^ 4 y n 15 J> ^ 2( . gQ 9" 1 33 _ 1 Logarithmic Tangents. 53 - Tangent of 28 Degrees. a a Tangent of 29 Degrees. 59 0" | 10" 20" 30" 40" 50" 0" 10" 20" 30" | 40" 50" 9.72567Z 5725 5 77 6 5827 58 7 8 5928 5 9 9.743752 38o2 385i 3901 3951 4ooo ! 5979 6o3o 6081 6i3i 6182 6233 58 1 4o5o 4099 4149 4199 4248 4298 58 2 6284 6334 6385 6436 6487 653 7 5 7 2 4348 4397 4447 4496 4546 4596 5 7 3 6588 663 9 6690 6740 6791 6842 56 3 4645 46 9 5 4744 4794 4844 4893 56 4 6892 6 9 43 699^ 7045 7 o 9 5 7146 55 4 4943 4992 5o42 5092 5i4i 5191 55 5 7197 7247 7298 7349 7 3 99 745o 54 5 524o 5290 5339 5389 5439 548.-3 54 6 75oi 7 55i 7602 7 653 77 o3 7754 53 6 5538 558 7 5637 5686 5 7 36 5 7 85 53 7 78o5 7 855 7906 79 5 7 8007 8o58 52 7 5835 5884 5 9 34 5983 6o33 6082 52 8 8109 8159 8210 8261 83n 8362 5i 8 6i32 6182 6231 6281 633o 638o 5i 9 8412 8463 85i4 8564 86i5 8665 5o 9 6429 6479 6528 65 77 6627 6676 5o IO 9.728716 8767 8817 8868 8918 8969 49 IO 9.746726 6 77 5 6825 6874 6924 6 97 3 4 9 ii 9020 9070 9121 9171 9222 9272 48 11 7023 7072 7122 7171 7221 7270 48 12 9323 9 3 7 4 9424 9475 9525 9 5 7 6 47 12 7 3i 9 7 36 9 74i8 7468 75i 7 7 56 7 4 7 i3 9626 9677 9727 9778 9828 9879 46 i3 ;6i6 7 665 77i5 7764 78i4 7863 46 1 4 9929 9980 ..3o ..81 .132 .182 45 i4 79 i3 7962 8011 8061 8110 8160 45 i5 9.730233 0283 o333 o384 o434 o485 44 i5 8209 8258 83o8 835 7 8406 8456 44 ! 16 o535 o586 o636 0687 0737 0788 43 16 85o5 8555 8604 8653 8 7 o3 8 7 52 43 17 o838 0889 0939 0990 io4o 1 09 1 42 l l 8801 885.1 8900 8949 8999 9048 42 18 ii4i 1191 1242 1292 i343 1 3g3 4i 18 9097 9147 9196 9245 9295 9344 4i J 9 1 444 1494 1 544 1 595 i645 1696 4o l 9 9393 9443 9492 954i 9 5 9 i 9640 4o 20 9.731746 1796 1847 1897 1948 1998 3 9 20 9.749689 9739 9788 9 83 7 9886 9936 39 21 2048 2099 2149 2200 225o 23oo 38 21 9985 ..34 ..84 ,i33 .182 .23l 33 22 235i 2401 245i 2502 2552 2602 37 22 9.750281 o33o o3 79 0428 0478 0527 3? 23 2653 2703 2753 28o4 2854 2904 36 23 0576 0625 0675 0724 o 77 3 0822 36 24 2955 3oo5 3o55 3 1 06 3i56 3206 35 24 0872 0921 0970 1019 1069 1118 35 25 325 7 3307 3357 34o8 3458 35o8 34 25 1167 1216 1265 i3i5 1 364 i4i3 34 26 3558 3609 3659 3709 3760 38io 33 26 1462 i5ii i56i 1610 1659 [708 33 27 386o 3910 3961 4on 4o6i 4in 32 27 i 7 5 7 1806 i856 1905 1954 2003 32 28 4162 4212 4262 43l2 4363 44i3 3i 28 2052 2101 2l5l 2200 2249 2298 3i 29 4463 45i3 4564 46i4 4664 4714 3o 29 2347 2396 2446 2495 2544 2593 3o 3o 9.734764 48i5 4865 4915 4965 5oi5 29 3o 9.752642 2691 2740 2789 2839 2888 29 3i 5o66 5u6 5i66 5216 5266 53i 7 28 3i 2 9 3 7 2986 3o35 3o84 3i33 3182 28 Q 2 5367 54i7 546 7 55i 7 556 7 56i8 27 32 323i 3280 333o 3379 3428 3477 27 33 5668 5 7 i8 5 7 68 58i8 5868 5918 26 33 3526 3575 3624 3673 3722 3771 26 34 5969 6019 6069 6119 6169 6219 25 34 38203869 3918 3967 4oi6 4o66 25 35 6269 6319 6370 6420 6470 652o 24 35 4n5 U164 42i3 4262 43n 436o24 36 6570 6620 6670 6720 6770 6820 23 36 44o9445845o7 4556 46o5!4654J23 37 6870 6921 6971 7021 7071 7121 22 3 7 4703 4752J4801 48504899I494822 38 7171 7221 7271 7321 7 3 7 i 7421 21 38 4997 5o46 5095 5i44pi93J5242 2i 3 9 7471 7 52I 7571 7621 7671 7721 20 39 5291 534o!5389 5438 5487 5536 20 4o 9.737771 78121 7871 7921 7971 8021 r 9 4o 9*755585 56345682 5 7 3i 5780 5829 l 9 4i 8071 8121 8171 8221 8271 832i 18 4i 58 7 8 592715976 6os5 G0746123 18 42 8371 8421 8471 852i 85 7 i 8621 17 42 6172 6221I6270 63i9 636864i6 17 43 8671 8721 8771 8821 8871 8921 16 43 6465 65i4 6563!66i2 6661 6710 16 44 8971 9021 9071 9121 9171 9221 i5 44 67596808:685716905 695417003 i5 45 9271 9 32i 9 3 7 i 94209470 9520 i4 45 7052 7101I7150 7199 7247 7296 14 46 9570 9620 9670 9720 9770 9820 1 3 46 7345]7394i7443 7492 7541 7589 i3 4? 987099209969 ..19 ..69 .119 12 47 7638768777367785 78347882 12 48 9. 740 1 69:02 1 9^269 03,19 o368 0418 11 48 7931:7980 8029 8078 81278175 1 1 49 o468'o5i8jo568 0618 0668 0717 10 ! 4 9 822482738322 S371 84198468 10 5o 9 . 740767 08 1 7'o867 0917 0967 1016 9 5o 9.758517 8566 86l5 8663 8712 8761 9 5i 1066:1 1 16 1 166 1216 1265 i3i5 8 5i 8810 8858 8907 8o56 9005 9053 8 52 1 365 i4i5 i465 i5i4 i564 1614 7 52 9102 9i5i 9200 9248 92979346 7 53 1664 1714^763 i8i3 i863 19 1 3 61 53 9395 9443 9492 954l 9590J9638 6 54 1962 2012 2062 21 12 2161 221 1 5 54 9687 97 36 9785983398829931 5 55 2261 23u 236o 2410 2460 25lO 4 '.-, 9979 ..28 ..77.I26.I74U23 4 56 t 2559 2609 2659 2709 2 7 58 2808 3 56 9.760272 o320 0369 o4i8 o466 o5i5 3 5t 2858 2907I2957 3007 3o56 3 1 06 = o564 0612 0661 0710*0758 0807 2 58 3i56l32o63255 33o5 1355 34o4 1 > o856 00040953 ioo2'io5o|io99 1 I 5 9 345435o43553 36o3 3653 3702 59 n48 1196 1 245J 1 293J i342J 1 391 t" j_50" | 40" 30" 20" 10" ) 60" | 50" 1 40" 1 30" 1 20" J 10" | Co-tangent of G 1 Degrees. Co-tangent of 60 Degrees. P.] .... J 1" 2" 3" 4" 5" 6" 7" 8" 9" n \ 5 10 15 20 2." 30 35 40 45 ' ( I" 2" 3" 4" 5" 6" 7" 8" lan \ 5 10 15 20 25 29 34 39 <4 54 L OGARITHMIC SlNES. .3 S) Sine of 30 Degrees. .5 Sine of 3 1 Degrees. 0" 10" 1 20" | 30" | 40" 50" 0" 10" 20" 30" 40" 50" o 9.698970 9006J9043 9079 91 16 9152 5 9 9.711839 l8 7 4 1909 1944 1979 20l4 h ' I 9189 9225 9262 9298 9334 9371 58 I 2o5o 2o85 2120 2i55 2190 2225 53 2 9407 9444 948o 9517,9553 9589 5? 2 2260 2295 233o 2365 2400 2434 57 1 3 1 9626 9662,96999735 9771 9808 56 2469 25o4 253 9 25 7 4 2609 2644 56 1 4 9844 9880 9917 9953I9990 ..26 55 4 2679 2714 2749 2784 2819 285455 i 5 9.700062 00990135 0171 0206 0244 54 5 2889 2924 2959 2994 3029 3o63 54 6 0280 0317 o353 0389 0425j0462 53 6 3098 3i33 3i68 32o3 3238 32 7 3 53 1 1 7 0498 o534o57i 0607 oC43 0680 52 7 33o8 3343 33 77 34i2 3447 3482 52 8 0716 0752 0788,0820 0861 0897 5i 8 35i 7 3552 358 7 3621 3656 3691 5i 9 0933 09701006 1042 1078 iii5 5o 9 3726 3 7 6i 3 79 6 383o 3865 3900 5o ro 9. 70ii5i 118711223,1259 1296 i332 49 10 9.713935 3 97 o 4oo5 4039 4074 4109 49 ti 1 368 i4o4 i44o;i477 1 5i 3 1549 48 1 1 4i44 4179 42 1 3 4248 4283 43i8 48 12 i585 1621 i658 1694 1730 1766 47 12 4352 438 7 4422 445 7 4491 4526 47 i3 1802 i838:i874;i9ii 1947 1983 46 i3 456i 45 9 6 463o 4665 4700 4735 46 i4 2019 2o55 2091 2127 2164 2200 45 i4 4769 4804 483 9 48 7 3 4908 4943 45 i5 2236 227223082344 238o 2416 44 i5 4978 5oi2 5o47 5o82 5n6 5i5i 44 iG 2452 2488 2524^561 2597 2633 43 16 5i86 5220 5255 5290 5324 535 9 43 17 2669 2705,2741 2777 2813 2849 42 17 53 9 4 5428 5463 5498 5532 556 7 42 18 2885 2921 2957^993 3029 3o65 4i 18 56o2 5636 56 7 i 5705 5740 5 77 5 4i l 9 3ioi 3i37 3173.3209 3245 3281 4o l 9 5809 5844 58 7 8 5913 5 9 48 5982 4o 20 9 .7003:7 335333893425 3569 36o5i364i 346i 3497 39 20 9.716017 6o5i 6086 6121 6i55 6190 3 9 21 o533 36 77 3713 38 21 6224 6 2 5 9 6293 6328 6362 63 97 38 22 3 7 49 3 7 84;382o3856 3892 3928 37 22 6432 6466 65oi 6535 6 7 o 6604 37 23 3 9 64 4ooo 4o36j4o72 4108 4i44 36 23 6639 6673 6708 6742 6777 6811 36 f 24 4179 42154251U287 4323 435 9 35 24 6846 6880 6915 6949 6984 7018 35 25 43 9 5 443i'4466 45o2 4538 45 7 4 34 25 7o53 7087 7122 7i56 7191 7225 34 26 46io 4646,46824717 4753 4789 33 26 7259 7294 7328 7363 *397 7432 33 27 48 2 5 4861 48964932 4968 5oo4 32 27 7 466 75oo 7535 7569 '7604 7 638 32 28 5o4o 5075 5 1 1 1 5i47 5i83 5219 3i 28 7673 7707 77 4i 7776 7810 7844 3i 29 5 2 54 5290 5326i5362 53 97 5433 3o 29 7879 79 i3 7948 7982 8016 8o5i 3o 3o 9,705469 55o5554o55 7 6 56i2 5648 29 3o 9.718085 8119 8i54 8188 8223 825 7 29 3i 5683 5719 5755 5790 5826 5862 28 3i 8291 8326 836o 83 9 4 8429 8463 28 32 58 9 8 5933 5969,6005 6o4o 6076 27 32 8497 853i 8566 8600 8634 8669 27 33 6112 6i4? 6i83 6219 6254 6290 26 33 8 7 o3 8737 8772 8806 884o 8874 26 34 6326 636i 6397 6433 6468 65o4 25 34 8909 8 9 43 8977 9011 9046 9080 25 35 653c; 6575 6611 6646 66826718 24 35 9114 9i48 9 i83 9217 925i 9285 24 36 6 7 53 67896824 6860 6895 6931 23 36 9320 9 354 9 388 9422 9456 9491 23 3 7 6967 70027038 7073 7109 7i45 22 37 9525 9559 9593 9627 9662 9696 22 38 7180 7216 7251 7287 7323 7358 21 38 97 3o 9764 9798 9 833 9867 9901 21 3 9 7 3 9 3 7429^464 75oo 7 535 75 7 i 20 39 9935 9969 ...3 ..38 ..72 . 106 20 4o 9.707606 7642'7677 77 i3 77487784 J 9 4o 9.720140 0174 0208 0242 0276 o3i 1 J 9 4i 7819 7855 7890 7926 7961 7997 18 4i o345 o3 79 o4i3 0447 0481 o5i5 18 42 8o32 8068 8io3 8139 81748210 I 7 42 o549 o583 0617 o652 0686 0720 *7 43 8245 82So83i6835i 83878422 16 43 0754 0788 0822 o856 0890 0924 16 44 8458 84 9 3 8528 8564 8599863S i5 44 0958 0992 1026 1060 1094 1128 i5 45 8670 8705,8741 8776 881 1 8847 i4 45 1162 1196 1230 1264 1298 i332 i4 46 8882891889538988 9024 9059 i3 46 i366 i4oo 1434 i468 l5o2 i536 i3 47 9094 9i3o oi65 9200 9236,9271 12 47 1570 1604 i638 1672 1706 1740 12 48 9306 9342 9377 9412 94489483 ii 48 1774 1808 1842 1876 1910 1944 11 4 9 95i8 9553 9589 9624 9659 9695 10 49 1978 2012 2046 2080 2Il4 2148 10 5o 9.709730 9765 9800J9836 9871 9906 9 5o 9.722181 22l5 2249 2283 2317 235i 9 5i 9 9 4i 9977 ..12 1..47 ..82 .118 8 5i 2385 24l9 2453 2487 2520 2 554 8 52 9.710153 0188 0223,0259 0294^329 7 52 2588 2622 2656 2690 2724 2 7 5 7 7 53 o364 0399 o435|o47o o5o5jo54o 6 53 2791 2825 2 85 9 2893 2927 2960 6 54 0575 0611 06460681 0716 0751 5 54 2994 3028 3o62 3096 3i3o 3i63 5 55 0786 0822,0857 0892 0927 0962 4 55 3i 97 323i 3265 3299 3332 3366 4 56 0997 io32 1067 1 io3 n38 n 7 3 3 56 34oo 34343468 35oi 3535 356 9 3 , 5 7 1208 1243 1278 i3i3 i348i383 2 5 7 36o3 3636 3670 3704 3738,3771 2 58 1419 i454'i4&9 i524 1559 1594 1 58 38o5j3839 , 3873:39o6 3 9 4o 3 97 4 1 5 9 1629 1664 1699 1734 1769 1 8o4 5 9 4oo7i4o4i 4075 4io9'4 I 42 4176 00" | 50" | 40" | 30" 20" i 10" a 3 GO'' 1 50" 1 40" | 30" ( 20" 10" a Co-sine of 59 Degrees. Co-sine of 58 Degrees. 2 P. p < 1" !>"' 3" 4" 5" 6" 7" 8" 9" I 4 7 11 11 18 21 25 29 32 j P. p A I" 2" 3" 4" 5" 6" 7" 8" 9" lart ) 3 7 10 14 17 21 24 27 31 . 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Degrees. P ran J l " ~" 3 " 4 " "" ,; " ~~ " 8 " [] ' 11 \ 5 10 II 19 21 29 34 39 43 o 9.77877418831 9060 9108 9346 9394 9632 9679 9918 9965 780203 025l 0489 0775 1060 1 346 ,781631 1916 2201 2486 3771 3o56 334i 36s6 3910 4195 .784479 4764 5o48 533s 56i6 0537 0822 B0> 9i55 q44i 9727 ..i3 0299 o584 0870 1108J1 1 55 1393 i44i 1678 1726 1964 201 1 ,2249 2296 2534 a58i 2819I2866J2914 3io4|3i 5 1 3199 338834363483 8917^964 9012 59 9203 925:;9298:5 04899537:9584 57 9775 9822 9870 56 ..61 .io8!.i56|55 o346 0394 o44i[54 063206790727 53 0917 :2o3 i488 1774 2059 2344 2629 36 7 3 3 9 58 4242 4527 48n 5095 538o 5900 5948 6i84|6232 65i6 6468 6752 7o36 .787319 7603 7886 8170 8453 8736 9019 9302 9 585 9868 3721 3768 4oo5:4o53 4290 4337 4574 4622 4859 U906 5i43 5190 5427 5474 5664]57ii|5758 599516042 G27916326 6563 6610 6799 7083 7367 765o 7 9 34 8217 85oo 8 7 83 9066 9349 6847 7i3o 74i4 7697 798 ; 8264 8547 883o 9114 9 3 97 6894 7178 746i 77 45 8028 83n 85 9 5 9632 9679 9916 9962 9.790151,0198 oa45 9161 9444 9727 o965 ! ioi3 52 i25o 1298 5i i536 i583:5o 1 8a 1 1 869 49 3io63i54|48 2391 2439 47 2676.2724146 2961 3009 45 324632 9 4!44 353i 357843 38i638634a 4ioo 4i48 4i 4385|443a4o 3 9 38 37 36 35 34 33 3a 3i 3o 5 28 4669J4716 4953:5ooi 5a385285 5533i5569 58o6|5853 609061 37 G374 6421 6607 6705 6941 16988 722517272 75o8J7556 7792 7^39 80758122J27 8359 8406126 864a 8689 25 89258972I24 9208 9255 9491 9538 9774 9821 . .57 . 104 0292 0339 o386 o434,o48i o528,o575 j 0622 0669 07 1 6 10763 0810 0857 0903 0952 0999 1046 1093:114011 187 1 2341 1 6 1281 i3a8 1375 i4aa 1469 i5i6i5 i563:i6iiji658,i7o5|i 75211799 i4 '846ji8 9 3 1940 u } <- 2o34 ao8i|i3 i.128 2175 2222 2269 23i6 a363jia 2410 2692 ;457 25o4 255i !739 l 2 7 86 l 2833 5o 9.792974 3o2i 3o68 3 1 15 2598^645 11 38802927 10 3i62'32t).^ 9 3444 3491 3a56 33o3 335o 33 97 3444 3491'r 8 3538 3585 363a , 3679 1 3 7 26 3773 7 3819 3866 3913 3960 4007 4o54 6 4ioi 4 1 4S 4195 4242 4289 4336 5 4383 443o4476 4523 457o46i7 4 4664 471 1 4758480543524899! 3 4g46 4992 5o3g 5o86,5i33 5x8ol 2 522752745321 5367 54i4 546ij 1 55o8 5555 5( ; o2 5649 56g6 5742 o flO" 50" 10" :mc 10" Part j 1 ; Co-tangent of 53 Degrees. 3" 4" 5" 6" 7" IF" 11 19 21 28 33 38 I 5G L O . 1 1: I V H M I C S I N E 3. 1 ri Sine of 32 Degrees. Sine of 33 Degrees. 1 1 * 10" 20" [ 30" 40" | 50" 0" 10" 20" | 30" 40'' 50" 1 o 9.724210 4243 4277i43ll 4344 4378 5 9 O 9.736109 6i4i 6174 6206 6 2 38 6271 5 9 I 44i2 4445 4479 ! 45i3 4540 458o 58 I 63o3 6336 6368 64oo 6433 6465 58 1 2 46i4 4647 468i ! 47i5 4748 4782 5 7 2 6498 653o 6562 65 9 5 6627 665 9 5? 3 4816 4849 48834917 4950 4984 56 3 6692 6724 6 7 5 7 6789 6821 6854 56 4 5017 5o5i 5o855n8 5i52 5i85 55 4 6886 6918 6951 6 9 83 7015 7048 55 5 5219 5253 5a86 532o 5353 5387 54 5 7080 71 12 7i45 7177 7209 7241 54 6 5420 5454 5488:5521 5555 5588 53 6 7274 73o6 7 338 7 3 7 i 74o3 7435 53 7 5622 5655 5689 5722 5 7 56 5 7 8 9 52 7 7467 75oo 7532 7 564 7 5 97 7629 5a 8 5823 5856 5890 5923 5 9 5 7 5990 5 1 8 7661 7693 7726 7758 7790 7822 5i 9 6024 6o5 7 6091 6124 6i58 6191 5o 9 7 855 7887 7919795 1 79 83 8016 5o IO 9.726225 6258 6292 6325 635 9 6392 4 9 IO 9.738048 8080 8112 8i45 8177 8209 49 ii 6426 6459 6493 6526 656o 65 9 3 48 1 1 8241 8273 83o6 8338 83 7 o 8402 48 12 6626 6660 6693 6727 6760 6794 47 12 8434 8466 8499 853i 8563 85 9 5 47 i3 6827 6860 6894 6927 6961 6994 46 i3 8627 865 9 8692 87248756 8788 46 i4 7027 7061 70947128 7161 7194 45 i4 8820 8852 8884 891718949 8981 45 i5 7228 7261 7294 7328 736i 7 3 9 4 44 i5 9013 9045 9077 9109I9141 9173 44 16 7428 746i 7494 7528 756i 75 9 4 43 16 9206 9238 9270 9302 9334 9 366 43 7 7628 7661 7694 7728 7761 7794J42 17 9398 943o 9462 9494 9 526 9 558 42 18 7828 7861 78^ i 7928 7961 7994 4i 18 9590 9622 9654 9687 9719 97 5i 4i *9 8027 8061 8094 8127 8161 8i 9 4 4o 19 97 83 9815 9847 9879 9911 9943 4o 20 9.728227 8260 8294 8327 836o 83 9 3 39 20 9.7.39975 ...7 ..3 9 ..71 . io3 .i35 3 9 21 8427 846o 84938526 856o8593 38 21 9.740167 0199 023l 0263 0295 0327 38 22 8626 8659 86928726 8759 8792 37 22 0359 0391 0423 o455 0487 0519 3? 23 8825 8858 88928925 8958,8991 36 23 o55ojo582 0614 o646 0678 0710 36 24 9024 9o58 9091 9124 9157^9190 35 24 0742 0774 0806 o838 0870 0902 35 25 9223 9 25 7 9290 9323 93569389 34 25 0934 0966 0997 1029 1 06 1 1093 34 26 9422 9455 9489 9522 9 555 9 588 33 26 1125 1167 1189 1221 1253 1284 33 27 9621 9 654 9687 9720 97 53 9787 32 27 i3i6 1 348 i38o 1412 i444 1476 32 28 9820 9 853 9886 9919 99 5 2 99 85 3i 28 i5o8 1539 1571 i6o3 i635 1667 3i 29 9.730018 oo5i 0084 01 17 0150^183 3o 29 1699 1730 1762 1794 1826 i858 3o 3o 9.730217 025o 0283 o3i6 03490382 29 3o 9.741889 1921 1953 i 9 85 20172049 29 3i o4i5 o448 0481 o5i4 o547 o58o 28 3i 2080 2112 2i44 2176 2207 2239 28 32 06 1 3 0646 0679 7 12 0745 0778 27 32 2271 23o3 2335 2366 23 9 8 243o 2 7 33 0811 o844 0877 0910 0943 0976 26 33 2462 2493 2525 2557 258 9 2620 26 34 1009 1042 1075 1108 n4i 1173 yj 34 2652 2684 2715 2747 2779 2811 20 35 1206 1239 1272 i3o5 i338 1 371 24 35 2842 2874 2906 2 9 3 7 2969 3ooi 24 36 i4o4 i43 7 1470 1 5o3: 1 536 1569 2 j 36 3o33 3o64 3096 3128 3 i5o 3 191 :23 37 1602 i634 1667 170011733J1766J22 37 3223 3254 3286 33183349 338i 22 38 1799 i832 l865 1897 i 9 3o 1963(21 3d 34i3 3444 3476 35o8 353 9 35 7 i 21 3 9 1996 2029 2062 2095 2127 2160 20 39 36o2 3634 3666 36 97 3729 3 7 6i 20 4o 9.732193 2226 2259 2292 2325 2357 19 4o 9.743792 3824 3855 388 7 3919 3950 *9 4i 2390 2423 2456 2489 2521 2554 18 4i 3982 4oi3 4o45 4077 4io8 4i4o 18 42 2587 2620 265326852718 2 7 5! I 7 42 4171 4203 4234 4266 4297 4329 17 43 2784 2816 2849'2882 2 9 i5 2948 16 43 436i 4302 4424 4455 448? 45i8 16 44 2980 3oi3 3o46 3o79'3iii 3i44 i5 44 455o 458i 46i3 4644 4676 4707 i5 45 3i 77 3210 3242 32 7 5|33o8 334o i4 45 47 3 9 4770 4802 4833 4865 4896 i4- 46 33 7 3 34o6 3439 3471 35o4 353 7 i3 46 4928 4959 4991 5022 5o54 5o85 i3 47 3569 36o2 3635 3667 3700 3 7 33 12 47 5 1 1 7 5i48 5i8o 5211 5243 52 7 4 12 48 3 7 65 3 79 8 383i 3863 38 9 6 3929 I I 48 53o6 533 7 536 9 5400 543i 5463 11 49 3961 3994 4027 4059 4092 4i25 IO 49 5494 5526 555 7 5589 5620 565i 10 5o 9.734157 4190 422242554288 4320 9 5o 9-745683 5 7 i4 5746 57775808 584o 9 5i 4353 4386 44i8445i!4483 45i6 8 5i 58 7 i 5903 5 9 34 5 9 65 5997 6028 8 52 4549 458i 46i4 4646 4679U711 ' 7 52 6060:6091 6122 6i54 6i85 6216 7 53 4744 4777 4809 4842;48 7 4 4907 6 53 6248,6279 63io 6342 6373 64o4 6 54 4939 4972 5oo4 5037,5069 5l02 5 54 64366467 6498 653o 656i 6592 5 55 5i35j5i67 5200 5232 5265 5297 4 55 66246655 6686 6718 6749 6780 4 56 533o536a 53 9 5 5427 546o 5492 3 56 68126843 68 7 4 6905 6937 6968 3 5 7 55255557 5590 5622j5655 5687 2 57 6999 703 1 7062 7093 7124 7i56 2 58 5719 575255784 58175849 5882 1 58 7187 72187249 7281 7312 7343 1 5 9 5914 5947 5979 6011 6o44 6076 5 9 7374 740617437 7468 7499 753o &P 50" | 40" 30" j 20" 10" 3 60" | 50" | 40" 30" | 20" 10" a a Co-sine of 57 Degrees. Co-sine of 56 Degrees. r. p <1" 2" 3" 4" 5" 6" 7" 8" 9" a } 3 7 10 13 17 20 23 2G 30 p v <1" 2" 3" 4" 5" 6" 7" 8" 9" 1 - lAn \ 3 6 10 13 1G 19 22 25 29 LiOG ARITH M I , Tangents . 57 !- Tangent of 32 Degrees. I Tangent of 33 Degrees. i * 0" 10" 20" 30" 40" 50" 0" 10" 20" 30" | 40" wy 9.795789 5836 5883 593o 5 977 6023 5 9 O 9.812517 2563 2610 2656 2702 2748 5 9 1 I 6070 6117 6i64 62 1 1 6258 63o4 58 I 2794 2840 2886 2932 2978 3o24 58 2 635i 6398 6445 6492 653 9 6585 5 7 2 3070 3n6 3i63 3209 3255 33oi 5? 3 6632 6679 6726 6 77 3 6819 6866 56 3 334 7 33g3 3439 3485 353i 35 77 56 4 6gi3 6960 7007 7o53 7100 7147 55 4 3623 3669 3 7 i5 3 7 6i 3807 3853 55 5 7194 7241 7287 7334 738i 7428 54 5 3899 3 9 45 3 99 i 4o37 4o83 4129 54 - 6 7474 7521 7 568 7 6i5 7662 7708 53 6 4176 4222 4268 43i4 436o 44o6 53 7 77 55 7802 7849 7895 7942 7989 52 7 4452 4498 4544 4590 4636 4682 52 8 8o36 8082 8129 8176 8223 8269 5 1 8 4728 4774 4820 4866 4912 4g58 5i 9 83i6 8363 8409 8456 85o3 855o 5o 9 5oo4 5o5o 5096 5l42 5i88 5234 5o IO 9.798596 3643 8690 8 7 3 7 8 7 83 883o 4 9 IO 9.815280 5326 53 7 i 5417 5463 5509 4 9 ii 8877 8923 8970 9017 9063 9110 48 11 5555 56oi 564 7 5693 5739 5785 48 12 9 l5 7 9204 9260 9297 9344 9390 47 12 583i 58 77 5923 596916015 6061 47 i3 9437 9484 953o 9 5 77 9624 9670 46 i3 6107 6i53 6199 6245 6291 6336 46 i4 9717 9764 9810 9 85 7 9904 9950 45 i4 6382 6428 6474 652o 6566 6612 45 i5 9997 -.44 ..90 .i3 7 .184 23o 44 i5 6658 6704 6750 6796 6842 6888 44 16 9.800277 o324 0370 0417 o463 o5io 43 16 6933 6979 7025 7071 7117 7 i63 43 *7 o557 o6o3 o65o 0697 0743 0790 42 17 7209 7255 73oi 7347 7 3 9 2 7438 42 18 o836 o883 0930 0976 1023 1070 4i 18 7484 753o 7 5 7 6 7622 7668 7714 4i x 9 1116 n63 1209 1256 i3o3 1 549 4o *9 7759 7805 7 85i 7897 7943 7989 4o 20 9.801396 i44a 1489 i535 i582 1629 39 20 9.818035 8081 8126 8172 8218 8264 39 21 i6 7 5 1722 1768 i8i5 1862 1908 38 21 83io8356 8402 8447 8493 853 9 38 22 1955 2001 2048 2094 2141 2187 37 22 8585863i 8677 8722 8768 8814 37 23 2234 2281 2327 2374 2420 2467 36 23 8860 8906 8952I8997 9043 9089 36 24 25i3 256o 2606 2653 2699 2746 35 24 9i35 9181 9226 9272 9 3i8 9364 35 25 27922839 2886 2932 2979 3o25 34 25 9410 9455 95oi 9 547 9593 9639 34 >6 3072 3n8 3i65 3211 3258 33o4 33 26 9684 9730 9776 9822 9868 99 i3 33 27 335i 33 9 7 3444 3490 353 7 3583 32 27 9959 . . .5 ..5i ..96 .142 .188 3a 28 3G3o 36 7 6 3723 3769 38i6 3862 3i 28 9.820234 0280 o325 0371 0417 o463 3i 29 3c 3909 3 9 55 4ooi 4o48 4094 4i4i 3o 29 o5o8 o554 0600 0646 0691 o 7 3 7 3o i 9.804187 4234 4280 4327 43 7 3 4420 29 3o 9.820783 0829 0874 0920 0966 1012 2 9 3i 4466 45i3 455 9 46o5 465 2 469828 3i 1057 no3 1149 1195 1240 1286 28 32 4745 4791 4838 4884 493o 497727 o2 i332 i3 77 1423 1469 i5i5 i56o 2 7 33 5o23 5070 5n6 5i63 5209 5255 26 33 1606 i652 1697 1743 1789 i835 26 34 53o2 5348 53 9 5 544i 5487 5534 25 34 1880 1926 1972 2017 ao63 2109 25 35 558o 562 7 56 7 3 5 7 i 9 5 7 66 58i2 24 35 2i54 2200 2246 2292^337 2383o4 36 585 9 5905 5951 5998 6o44 6091 23 36 2429 2474 2520 2566 2611 265 7 23 37 6137 6i83 623o 6276 6322 636g 22 37 2703 2748 2794 2840 2885 2931 22 38 64i5 6462 65o8 6554 6601 6647 21 38 2977 3o22 3o68|3n4 3i 59 3 2 o5 21 3 9 66c;3 6740 6786 6832 6879 6925 SO 39 325i 32963342 3387 3433 3479 20 4o 9 806971 7018 70G4 7110 7 i5 7 7203 r 9 4o 9.823524 357o36i6 366i 3707 3 7 53 *9 4i 7249 7296^342 7388 7435 748i 18 4i 3 79 8 384413889 3 9 35 3981 4026 18 42 7527 7574 7620 7666 77*3 77 5 9 17 42 4072 U117 4i63 4209 4254 43oo 17 43 78o5 785i 7898 7944 7990 8o3 7 16 43 4345 43 9 i 443 7 4482 4528 45 7 3 16 44 8o83 8129 8176 8222 8268 83i4 i5 44 4619 4665 4710 4756 48oi 4847 i5 45 836i 84078453 8499 8546 8592 i4 45 4893U93849845029 5075 5 1 20 i4 46 8638 8G85j8 7 3i 8777 8823 8870 i3 46 5i66 5212 6257 53o3 5348 53 9 4 i3 47 8916 8962 9008 9055 9101 9147 12 47 5439 5485;553i 5576 5622 566 7 12 48 9193924092869332 9 3 7 8 <;424 11 48 57i3J5758J58o4|5849 58 9 5 5940 11 49 9471 y5i 7^563 9609 9 656 9702 IO 49 5986.6032:6077 6123 6168 6214 IO 5o 5i 9.80974S 9794 9840 9. 81002510071101 18 9887 0164 9933 0210 9979 02 56 9 8 5o 5i 9.826259 t 63o5|635o6396 653 2 !6578 6623 6669 644i 6487 6714 6760 9 8 5 a o3o2 0349 0395 0441 0487 o533 7 52 68o5G85i 6896 6942 6987 7033 7 53 o53o 0626 0672 0718 0764 0810 6 53 7078 7124,7169 72I r > 7260 7^06 6 54 0857 0903 0949 0995 1 04 1 1087 5 54 7 35i 739717442 "7. ; vs 7 533 7 579 5 55 1 1 34 1 iSo I'J2() 1272 i3i8 1 364 4 55 7624 76707715,7761 7S06 785i 4 56 , i4io i457 1 5o3 1 549 1 595 i64i 3 56 78977942 79^ 3o33'8o79 8124 3 5 7 1687 1733 178018261:872 1918 2 r 7 817082158261 83o6835i 83 97 a 58 1964 3010 2o56 2102 2149 2 1 9 ') 1 844a 8488 8533 8579 8624 8669 1 5 9 224 1 228 7 l 2333 23 79 l 2425 " 171 '.0 8715)876088068851 8897 8 9 4 a 60" 50" 1 40" 30" 7 De 20" 10" d .60" | 50" | 40" , :(>" ->" 10" 1 Co-tangent of 5 grees. 35 Co-ta ngen 2" 3 9 1 t of 56 D< groes. P. p I 1" 2" 3" 4" 5" 6" 7" 8" 9" 1 ,, I 5 9 14 19 23 28 33 37 42 ' Part J i ; ' 1" 5" ( 1 18 23 " 7" 27 32 8' 37 9" 41 >8 L OGARITHMIC SlNES. 1 1 Sine of 34 Degrees. .S Sine of 35 Degree i. ~"j 0" | 10" 20" [ 30" 40" 50" 0" 10" 20" 30" 40" 50" 1 9.747562|7593|7624,7655 7686 7718 5 9 9.758591 8621 865i 868l 8712 8 7 42 5" 9 ~ I 7749I7780J7S1 1 '7842 7874 79 o5 58 I 8772 8802 8832 8862 8892 8922 58 2 79 36 7967 7998,8030 8061 8092 57 2 8952 8982 9012 9042 9072 9102 5? 3 8i23 5i54|8i85:82i6 8248 8279 56 3 9132 9162 9192 9222 9252 9282 56 c 63xc 834i 83 7 284o3 8434 8466 55 4 9312 9342 9 3 7 2 94o2 9432 9462 55 5 8497 8528855985908621 8652 54 5 9492 9522 9552 9582 9612 9 642 54 6 S63387148745.8777I8808 8S70 8901 89328963:8994 883 9 53 6 9672 9702 9732 9762 9792 9822 53 7 9025 52 7 9852 9881 991 1 99 4i 9971 ... I 5s 8 9o56 90879118 9149 9180 9212 5i 8 9. 760031 0061 0091 0121 oi5i Ol8l 5i 9 9243J9274 9305,9336 9367 9398 5o 9 0211 0240 0270 o3oo o33o o36o 5o IO 9 749429^4609491195229553 g584 49 10 9.760390 0420 o45o 0480 0509 o539 4 9 1 1 9615 9646 9677,9708 9739 9770 48 11 0569 0599 0629 0659 0689 0718 48 12 9801 983298639894 9925 9956 47 12 o 7 48 0778 0808 o838 0868 0898 47 i3 9987 ..18J..48 ..79 .110 .141 46 i3 0927 0957 0987 1017 1047 1076 46 i4 9.750172 0203 0234 0265 0296 0327 45 i4 1 1 06 n36 1166 1196 1225 1255 45 i5 o358 o38g 0420 o45 1 0482 05l2 44 i5 1285 i3i5 1 345 i3 7 4 i4o4 i434 44 16 o543 o574,o6o5 o636 0667 0698 43 16 i464 1494 i523 i553 i583 i6i3 43 J 7 0729 0760 0791 0821 o852 o883 42 17 1642 1672 1702 1732 1761 1791 42 18 0914 0945,0976 1007 1037 1068 4i 18 1821 i85i 1880 1910 1940 1969 4i *9 1099 1 i3o 1 161 1 192 1222 1253 4o x 9 1999 2029 2059 2088 2118 2148 4o 20 9.751284 1 3 1 5 1 346, 1 377 1407 i438 3 9 20 9.762177 2207 2237 2267 2296 2326 39 21 1469 i5oo i53i i56i 1592 1620 38 21 2356 2385 24 1 5 2445 2474 25o4 38 22 i654 i685 1 7i5 1746 1777 1808 3? 22 2 534 2563 2593 2623 2652 2682 37 23 i83g 18691900 1931 1962 1992 36 23 2712 2741 2771 2801 283o 2860 36 24 2023 2o54 2o85:2ii5 21 46 2177 35 24 2889 2919 2949 2978 3oo8 3o38 35 25 2208 22382269230023302361 34 25 3067 3097 3i26 3i56 3i86 32i5 34 26 2392 2423^453 2484 2515 2545 33 26 3245 32 7 4 33o4 3333 3363 3393 33 27 2576 2607.2637:2668 2699 12 729 32 27 3422 3452 348i 35n 354o 3570 3a 28 2760 279I 2822 2852 2883J29I4 3i 28 36oo 3629 365 9 3688 3718 3 7 47 3i 29 2944 2975 3oo5 3o36 3067 3097 3o 29 3 777 38o6 3836 3865 38 9 5 3925 3o 3o 7.753128 3i59 3189 3220 325i 3281 29 3o 9 763954 3 9 84 4oi3 4o43 4072 4l02 29 3i 33i2 3342 3373 34o4 3434 3465 28 3i 4i3i 4i6i 4190 4220 4249 4279 28 32 3495 3526 3557 358 7 36i8 3648 27 32 43o8 4338 436 7 4396 4426 4455 27 33 3679 3710 3740 3 77 i 38oi 3832 26 33 4485 45i4 4544 45 7 3 46o3 4632 26 34 3862 38g3 3923 3 9 54 3 9 85 4oi5 25 34 4662 4691 4720 475o 4779 4809 25 35 4o46 4076 4107 4i3 7 4i68 4198 24 35 4838 4868i48 97 4926 4956 4985 24 36 4229 4259 4290 4320 435i 438i 23 36 5oi5 5o44 5074 5io3 5i32 5i62 23 37 4412 4442 4473 45o3 4534 4564 22 3? 5191 5221 525o 5279 5309 5338 22 38 45 9 5 4625 4656 4686 47174747 21 38 5367 5397 5426 5456 5485 55i4 21 3 9 4773 4808 483 9 4869 5o5S 4900 4930 20 3 9 5544 55 7 3 56o2 5632 566i 5690 20 4o 9.754960 4991 502I 5082 5 1 1 3 l 9 4o 9. 765720 5 7 49 5 77 8 58o8 583 7 5866 J 9 4i 5i43 5173 52o4 5 2 34 5265 5295 l8 4: 58 9 6 5925 5 9 54 5 9 84 601 3 6042 l8 42 5326 5356 5386 54i7 54475478 17 42 6072 6101 6i3o 6159 61896218 l 7 43 55o8 5538 556 9 5599 5629 566o l6 43 6247 6277 63o6 6335 6364 6394 16 44 5690 5721 5751 5 7 8i 58i25842 i5 44 6423 6452 648 1 65n 654o 656 9 i5 45 5872 5903 5933 5 9 63 5994 6024 i4 45 65 9 8 6628 6657 6686 6 7 i5 6 7 45 i4 46 6o54i6oS5 61 15 6i45 6176 6206 i3 46 6774 68o3 6832 6862 6891 G920 i3 47 623616267 6297 6327 63586388 12 4? 6949 6978 7008 7 o3 7 7066 7 o 9 5 12 48 64i8 6448 64796509 6539 6570 1 1 48 7124 7i54 7 i83 7212 7241 7270 11 4 9 6600663066606691 6721 6751 10 4 9 73oo 7 32 9 7358 7387 7416 7445 10 5o 9. 756782 6812 6842687269036933 9 5o 9.767475 75o4 7 533 7562 7 5 9 i 7620 9 5i 6 9 63 6993 7023 7054 7084 71 14 8 5i 7649 7679 7708 77 3 7 77 66 77 9 5 8 5i 7144 7175 72057235 7265 7295 7 52 7824 7 853 7882 7912 794i 7970 7 53 7326 735673867416 7446^477 6 53 7999 8028 8057 8086 8n5 8i44 6 54 7 5o 7 7537 7567 7 5 97 7627,7658 5 54 8i 7 3 8203 8232 8261 8290 8319 5 55 7688 7718 7748 7778 7808 7809 4 55 83488377 84o6 8435 8464 8493 4 56 7869 7899^929 795979898019 3 56 8522855i 858o 8609 8638 8668 3 5? 8o5o:8o8o 8iiO|8i4o'8i70 8200 2 5? 86978726 8 7 55 8784 88i3 8842 2 58 823o826o'829o832i 835i 838i 1 58 8871 8900 8929 8958 8987 9016 1 _^9 P. 34n ]844r 8471 85oi 853i 856i 5 9 9o45 9074 9103 9132 9161 9190 CO" | 50" : 40" | 30" 20" 10" 2 60" | 50-' | 40" | 30" 20" i 10" Co- Part^" sine of 55 Degrees. Co-sine of 54 Degrees. 2" 3" 4" 5" 6" 7" 8" 9" 6 9 12 15 18 21 25 28 P. v .' Co-tangent of 55 Degrees. 5111 o" !" I" V' I J. J 1 .) 5 9 11 18 23 6" 7" 8" 9" '27 :!.' 36 41 Tangent of 'o5 Degrees. ? 2' 3 4 5 6 7 8 9 in 11 12 i3 i4 i5 16 '7 18 J 9 20 2 I 2 2 23 24 25 26 27 28 29! 309 3i 32 33 34 35 36 "'7 38 3 9 j 4o,9 4i 42 43 44] 45 46 47 43 49 5o 5 r J ' 52 53l >4 55 56 9 5 7 58 59 0" , 945237 6272 5496 554o 5764:5809 6o33 6078! 53i6 5585 5854 6i23 63o2|6347|639i 6570 | 66i5|666o 6839I688416929 7108.715217197 737617421 7465 7644 768917734 847913 795718002 8181I82268270 8449 8717 8986 9254 9522 9790 ,85oo57 o325 536i!54o6 ; 545i 563o|5675|572o 58995944,5988 6168 6212^6257 6436 648ij65s6 6705 6750 6794 69737018:7063153 7242 7287,7331 02 75iO|7555 | 76oo!5i 7779 7823J7868JD0 80478092,813649 83i5 8494853 9 8762 8807 9o3o 9075 929819343 95661961 1 9834 9879 0102 0147 0370 o4i5 9 9.85o593 o638|o682 0861 1 129 1396 1664 1981 2199 2466 2733 3ooi ,953268 3535 3802 4069 4336 0905 1 173 i44i 1708 1976 2243 25l I 2778 3o45 33i3 358o 384 7 0950 1218 i485 i 7 53 8583 885i 9120 9 388 96 5 6 9924 0191 04S9 0727 0995 1262 i53o 797 46o3U648 4870 49i5 5i 37 5i82 54o4j5449 2288 2555 2823 3ogo 335 7 3624 3891 4u4|4x58 438il4425 46 9 20 2o65 2332 2600 2867 3i34 3402 3669 3936 836o84o5 8628,8673 8896,8941 91649209 9432 9477 9700 9745 9968 . . 1 3 023610281 o5o4 o548 0772 0816 1039 1084 1307 i352 1 575 1619 1842I1887 2II02I54 23772422 26442689 2912 2956 3l79 3223 3446|349i 3713 3758 39804025 420342474292 470 45i4(4559 47374781482624 5o485o(/; a3 53i5,536o 55825626 584^5893 4959,5004 5226j52 7 I 5493:5537 567 1 157 1 5j 576o|53o4 855933| r xi;32 6o26 | 6o7i|6i i56i6o 620462496293633863826426 6471 |65i5:656oi66o4' 6649 6693 6737678268266871 69156959 7004 70487093 7137 718217226 7270 h3 1 5 7359 W4&4 7443 749: 75371758117626:7670 7714 7759 7803 7^4 S 7892 79 (6 7981 Bo25 8069:8114 8i58 8203 824718291 8336 838o|8424 8469 85i3 8558 ro 8586028646.8691J8735 8779 8S24 9 8863 8912 89579001 9045 9090: 8 9134 9178 9223 92679311 :')() 7 9400 9444 9489 9533 9577 9622! 6 9666 9710 9755 9799 9843 9888 5 9932 9976 . .21 . .65 .109 . 1 54 4 ,860198102420287033103750420 3 o464io5o8 o55j 0597 o64i o685: 2 0730 0774 > |Sl I s 0S62 0907 0931! 1 0995 co4o 1084 1128,1 172 121 7J eo" ~ v& 40" 1 ^p" 1 ao" , 10" 1~T' Co-tangent of 51 Degree*. \ * < I" 2" 3' 1" 5" 6" 7" 8" 9' 1 ' lr '< 4 9 13 is Z2 27 31 36 40 60 Logarithmic Sines. & s Sine of 36 Degrees. 1 3 Sine of 37 Degrees. j ' 9 4i 42 43 44 45 49 22(12 224'' 2419 2463 a5o6 2680 272". 2766 Co-tangent of 52 Degree. 'J" 3" 4" 0" 6" 7' 8" 9 13 17 52 CO 31 35 02 Logarithmic Sines. a Sine of 38 Degrees. 1 _a 8 Sine of 39 Degrees. r~ 0" | 10" | 20" | 30" 40" | 50" 0" 10" 20" | 30" 40" 50" o 9. 78934.2 19369 9396:9423 g45o 9477 59 9.798872 8898 8924 8950 8976 9002 5 9 I 95o4 953i [9557 958496 1 1 9638 58 1 9028 9054 9080,9106 9l32 9i58 58 2 9665J9692 9719,9746.9773 9800(57 2 9184 9210 9236 9262 9287 93i3 57 3 9827 98549880 9907 9934 9961 156 3 9339 9365 9 3 9 I 9417 9443 9469 56 4 9988 . .i5|. .4aJ. .69 .96 . 122155 4 9495 9 52I 9 547 9 5 7 3 9 5 99 9625 55 5 9.790149 0176 02o3 o23o 0257 0284 54 5 9651 9677 9703 9728 9754 9780 54 6 o3io 0337 o364o39i 0418 0445 53 6 9806 9 832 9 858 9884 9910 9936 53 7 0471 0498 o525 o552 o5 79 0606 52 7 9962 9987 ..i3 ..3 9 ..65 ..91 52 8 o632 0659 0686J0713 0740 0767 5i 8 9.800117 oi43 0169 0195 0220 0246 5i 9 o 79 3 0820 0847 0874 0901 0927 5o 9 0272 0298 o324 o35o 0376 o4oi 5o IO 9.790954 0981 1008 io34 1 06 1 1088 4 9 10 9.800427 o453 0479 o5o5 o53i o556 4 9 ii 1 1 15 1142 1168 1 195 1222 1249 48 1 1 o582 0608 0634 0660 0686 071 1 48 12 1275 i3o2 1329 i356 i382 1409 47 12 0737 0763 0789 o8i5 o84o 0866 47 i3 i436 1 463 1489- i5i6 1 543 1570 46 i3 0892 0918 0944 0969 0995 1 02 1 46 r4 1596 i623i65o 1676 1703 1730 45 i4 1047 1073 1098 1 1 24 n5o 1 1 76 45 i5 i 7 5 7 1783 1810 i83 7 i863 1890 44 i5 1201 1227 1253 1279 i3o5 i33o 44 iG 1917 1943 1970 1997 2024 2o5o 43 16 i356 i382 i4o8 i433 1459 i485 43 *7 2077 2I04 2i3o 2157 2184 2210 42 17 i5ii i536 i56 2 i588 i6i3 1639 42 18 2237 2264 2290 2317 2344 2370 4i 18 i665 1691 1716 1742 1768 1794 4i J 9 23 97 2423 245o 2477 25o3 253o 4o *9 1819 i845 1871 1896 1922 i 9 48 4o 20 9.792557 2583 2610 2636 2663 2690 3 9 20 9.801973 1999 2025 2o5l 2076 2102 3 9 21 2716 2743 2770 2796 2823 2849 38 21 2128 2i53 2179 22o5 2230 225638 22 2876 2903 2929 2956 2982 3009 3? 22 2282 2307 2333 2359 2384 2410 37 23 3o35 3062 3089 3i 1 5 3l42 3i68 36 23 2436 2461 2487 25l2 2538 2564136 24 3195 3222 3248'3275 33oi 3328 35 24 2 5S 9 26i5 2641 2666 2692 2718 35 a 5 3354 3381:34073434 346o 3487 34 25 2743 2769 2794 2820 2846 2871 34 26 35i4 3540 3567 3593 3620 3646 33 26 2897 2922 2948 2974 2999 3o 2 5 33 27 36 7 3 3699 3726 3 7 52 3 779 38o5 32 27 3o5o 3o 7 6 3l02 3l2 7 3i53 3i 7 8 32 28 3832 3858 3885 3911 3 9 38 3 9 64 3i 28 3204 3229 3255 328l 33o6 3332 3i 29 3 99 i 4oi7 4o44 4070 4097 4123 3o 29 335 7 3383 34o8 3434 3459 3485 3o 3o 9.794i5o 4176 42o3 4229 4255 4282 29 3o 9.8o35n 3536 3562 358 7 36i3 3638 29 3i 43o8 4335 4361 4388 44i4 444 1 28 3 1 3664 3689 3 7 i5 3740 3766 3 79 i 28 32 4467 4493 4520 4546 45 7 3 4599 27 j2 38i 7 3842 3868 38 9 3 3919I3944 27 33 4626 4652 ! 46 7 8 4 7 o5 473i 4758 26 33 3970 3995 4o2I 4o46 4072 U097 26 34 4784 48io4837 4863 4890 4916 25 34 4l23 4i48 4174 4199 42a5 4s5o 25 35 4942 4969 4995|5o22 5127 5i54 5i8o 5o48 5o74 24 35 4276 43oi 4327 4352 4377!44o3 24 36 5ioi 52065233 23 36 4428 4454 4479 45o5 453o{4556 23 '^7 5259 5285 53i2 5338 5364 5391 22 37 458i 4607 4632 465 7 46834708 22 38 54i7 5443 5470 5496 5522 5549 21 38 4734 47 5 9 4784 4810 4835486i 21 39 55 7 5 56oi 5628 5654 568o 5707 20 39 4886 4912 4937 4962 4988 5oi3 20 4o 9.795733 5759 5786 58i2 58385865 *9 4o 9.8o5o3g 5o64 5089 5n5 5i4o 5 1 65 l 9 4i 58 9I 5917 5943 5 97 o 5996,6022 l8 4i 5 19 1 5216 5242 5267 5292 53i8 l8 42 6o49 6075 6101 6127 6i54:6i8o *7 42 5343 5368 53 9 4 5419 5444 5470 *7 43 6206 6233 625 9 !6285 63u 6338 16 43 5495 5520 5546 55 7 i 55 97 5622 16 44 6364 639064166443:64696495 i5 44 5647 56 7 3 5698 5723 5 7 48 5774 i5 45 652i 6547 6574 6600,6626,6652 i4 45 5799 5824 585o 58 7 5 5900 5926 i4 46 6679 6705673167576783:6810 i3 46 5g5i 5 97 6 6002 6027 6o52 6077 i3 4? 6836 686268886914 694^6967 7098:7124 12 4? 6io3 6128 6i53 6179 6204 6229 12 48 6993 7019 7045J7072 1 1 48 6254 6280 63o5 633o 6355 638i 11 49 7i5o 7176 7202 7229 7255 7281 10 4 9 64o6 643 1 6456 6482 6507 6532 IO 5c 9.797307 7 333 7 35 9 7 386 7412 7438 9 5o 9.806557 6583 6608 6633 6658 6684 9 5i 7464 7490 7516 7542 7569 7 5 9 5 8 5i 6709 6734 6759 6785 68io6835 8 52 7621 7647 767317699 7725 77 5i 7 52 686o6885 691 1 6936 6961 6986 7 53 7777 7804 7830 7856 7882 7908 6 53 701 1 7 o3 7 7062 7087711217137 6 54 7934 7960798680128038 8o65 5 54 7163 7188 7 2i3 7238 726357288 5 55 8091 8iz7'8i43 816918195:8221 4 55 73i4 7339 7364 7389 74147439 4 56 8247 82 7 3 8299 l 8325 835i l 8377 3 56 7465 7490 75157540,75657590 3 5 7 84o3 8429 8455 848i 85o8 8534 2 5 7 76i5 7641 7666,7691 7716:7741 2 58 856o 8586 86i2'8638j8664'869o 8716 8742'8768!8794 8820:8846 1 58 77667791 78*6,7842 7867:7892 1 5 9 5 9 791 7J7942 7967^992 8017 8042 60" | 50" | 40" | 30" | 20" | 10" a" 8 60" j 50" | 40" 1 30" | 20" , 10" a Co-sine of 51 Degrees. Co-sine of 50 Degrees. S V. . S 1" 2" 3' Iart J 3 5 8 4" 11 5" 6" 7" 8" 9" 13 16 19 21 24 P. p A I" 2" 3" 4" 5" 6" 7" 8" .0" lart \ 3 5 8 10 13 15 18 20 S3 Logarithm ic Tangents. 63 Tangent of 38 Degrees. ~0" rid" I 20" I 30" ~W' T" i 2 3] 4 5 6 7 8 9 io 9 ii 12 i3 i4 i5 16 '7 18 '9 20 9. 21 22 23 24 25 26 27 289, 29 3o 3i 32 33 34 35 36 37 38 3 9 40 1 4 1 42 43 44 45 46 4 7 48 49 5o ' 5i 52 53 54 55 56 5 7 58 5 9 .S92810 3070 333i 3591 385i 4ni 4372 4632 48 9 2853 3n4 33 7 4 3634 3894 4i55 44i5 46 7 5 4935 5 1 52 5 195 895412 5672 5932 6192 6452 6712 6971 7231 7491 775i 898010 8270 853o 8789 5455 5 7 i5 5 97 5 6235 6495 6 7 55 70 1 5 7275 7534 7794 8o54 83i3 85 7 3 8832 9049J9092 9135 9395 2897 3i57 34i7 3678 3938 4198 4458 4718 4979 5239 5499 5759 6019 6278 6538 6798 7 o58 7 3i8 7 5 7 8 7 83 7 8097 835 7 8616 8876 9 654 9308 935i 9568:9611 98279870J9914 900087 oi3o 0173 0389 o432 06480692 2940 3200 346i 3721 3981 4241 45o2 4762 5o22 5282 5542 58o2 6062 6322 6582 6842 7101 7 36i 7621 2983 3244 35o4 3 7 64 4o25 4285 4545 48o5 5o65 5325 5585 5845 6io5 6365 6625 6885 7i45 74o4 7664 7881 7924 8i4o 84oo 865 9 8919 9178 8i83 8443 8703 8962 9222 o346 .900605 086410908,0951 1 124 i383 1642 1 90 1 2160 2420 2679 2938 .903197 3456 3 7 i4 3 97 3 4232 4491 475o 5oo8 5o52 5og5 5267 53io5353 5526556 9 56i2 .905785 58285871 604360866129 63o263456388 656o66o3 6646 6819 6862 6905 7077I7120J7163 ,7336b379 74'J2 759417637 7680 7853 7896 7939 8111 8i54 s iv; I I 67 I2IO 14261469 i685 1729* 1944 1988 2204|2247 2463i25o6 27222765 2981 3o24 324o3 2 83 3499^542 3 7 58]38oi 4oi6 U060 42754318 45344577 479314836 94389481 9697 9741 99 5 7 .... 0216 0259 0476 o5i9 0735 0778 0994 1037 :253 1297 1 5i 3 1 55G 1772 i8i5 2o3i 2074 2290 2333 2549 2592 28082851 3067 3i 10 3326 3585 3844 4io3 4362 4620 4879 5 1 38 3369 3628 3887 4i46 44o5 4663 4922 5i8i 5397 r )44o 5655 5698 5914 5957 6172 6216 643i 6690 64 7 4 6733 69481699 1 7207 7250 7465|75o8 7723| 77 66 798218025 82408283 ') 0476 o5i9 o562 0733:0776,0819 0990 1033,1075 .921247 1289 1 332 1 5o3! 1 540, 1 589 1760 i8o3 i846 20172060 2io3 2274,2316 2359 253025732616 27872830J2873 3o44 3087 3129 33oo 334:i 3386 3557|36<>" 8498 8 7 5 7 9015 9273 953i 9789 48 o3o6 o564 0822 1080 854i 8800 9o58 9316 9 5 7 4 9832 9 1 0349 0607 o8"65 1123 i338 i38i 1596 i63g i853 1896 211 i|2i54 2369 ! 24l2 627 2670 2885 2928 3i43|3i85 34oo 3443 3658J37oi 3916I3959 4173 U216 443i4474 4688!473i 4946 52o3 546i 5 7 i8 4989 5246 55o4 5761 '9 58 57 56 55 54 5; 5 a 5i 5,, 48 4? 46 45 44 43 42 4i 4o 39 38 37 36 35 ">4 33 3a 8584 8843 9101 9359 9617 8 7 5 1 34 0392 o65o 0908 1166 i424 16S2 i 9 3 9 21 97 2455 2713 2971 3228 3486 744 4ooi 425 9 45i 7 4774 5o32 5289 554 7 58o4|3i 6062 3o 6319 29 65 7 6sS 6791I6834 27 7048 7091 26 73o5 7 34SJ25 7 52o 7 563 7605 24 77777820786323 8034,8077,8120 22 8291 8334'8377 21 i 8548 859i|8634 l 2o |88o5|S848'SS9 1(19 9063 9105 9148 18 93209362 94o5 17 9577 96i9'9662ii6 '9834.9876:9919 i5 91 .i33.i 7 6i4 o348 o39o!o433 i3 0604 0647 0690. 1 2 0861 0904 0947 1 1 1 1 18 1 161I1204 10 1375 i4i8 i46i i63a 1C75 1717 1889:1931 1 974 2145 2l88 223l 24"2 244j,2488| 2659 2702 2744 291 5 2958:3001 3172 321 5 3258 3429 3471 35 14 3685 3728 3771 5976,6019 623316276 6491 6533 6748 7oo5 7262 Co-tangent of 50 Degrees. 4" 17 :," <;" 7" 2-2 26 30 P. Par, I 1 ,' 3" 13 21 2G 7" 8'' 30 31 i >: !)" 3:i 64 L iOGARITHMIC S 1 N E S. i J Sine of 40 Degrees. 8 Sine of 41 Degrees. 0" 1 10" 1 20" | 30" | 40" 50" 0" 1 10" 20" 30' 40" 50" o 9,808067 8093 8118 8i43j8i68 8193 5o 9.816943I6967 6991 7016 7040 7064 5 9 I 8218824382688293,8318 8343 58 1 7088 7112 7137 7161 7 i85 7209 58 2 8368 83 9 3,84i9 8444 8469 8494 5 7 2 7233 7258 7282 73o6 733o 7354 57 3 85i 9 8544|856 9i 8594 86i9 8644 56 3 7 3 79 74o3 7427 745i 7475 7499 56 4 8669 8694 8719 8744,8769 8794 55 4 7524 7548 7 5 7 2 7596 7620 7644 55 5 8819 88448869 8894 8919 8 9 44 54 5 7668 7693 7717 7741 77 65 7789 54 i e 8969 899490199044 90699094 53 6 7813 7 83 7 7862 7886 7910 7934 53 1 7 9119 9144,91699194 92I99 2 44 52 7 79 58 7982 8006 8o3o 8o55 8079 52 8 9269 92949319^344 93699394 5 1 8 8io3 8127 8i5i 8i 7 5 8199 8223 5i 9 9419 9444,9469.9494 9519 9544 5o 9 8247 8272 8296 8320 8344 8368 5o 1 io 9.809569 9594961 919643 9668 9693 49 10 9.818392 84i6 844o 8464 8488 85i2 4 9 i 9718 97439768 9793 98189843 48 11 8536 856o 8584 8609 8633 865 7 48 12 9868 9893 99189943 996719992 47 12 8681 8 7 o5 8729 8753 8777 8801 47 i3 9.810017 0042 0067 0092 0117 0142 46 i3 8825 8849 88 7 3 8897 8921 8 9 45 46 i4 0167 OI9I 02l6 024l 0266 0291 45 i4 8969 8 99 3 9017 9041 9065 9089 45 i5 o3i6 o34i o366|o39o o4i5io44o 44 i5 9113 9 i3 7 9161 9i85 9209 9233 44 16 o465 0490 o5i5 o54o o564io589 43 16 9 25 7 9281 93o5 9329 9353 9 3 77 43 17 o6i4 0639066410689 0713 0738 42 J 7 9401 9425 9449 9473 9497 9521 42 18 o 7 63 o 7 88o8i3,o838 0862 0887 4i 18 9545 9569 9593 9617 9641 9 665 4i l 9 0912 0937 0962,0986 IOII io36 4o *9 9689 9713 9737 9761 97 85 9809 4o 20 9.811061 1086,111011135 1 1 60 n85 3 9 20 9.819832 9856 9880 9904 9928 9952 39 21 1210 1234 i25 9 1284 1 309 i334 38 21 9976 ..24 ..48 ..72 ..96 38 22 i358 1 383 i4o8 i433 i45 7 1482 37 22 9.82,0120 oi43 0167 0191 02l5 C23g 37 23 1507 i532 1 556 i58i 1606 i63i 36 23 0263 0287 o3n o335 0359 o382 36 24 i655 1680 1705 1730 1754 1779 35 24 o4o6 o43o o454 0478 o5o2 o526 35 25 1804 1828 i853 1878 1903 1927 34 25 o55o 0573 0597 0621 0645 0669 34 ?6 1952 1977 2001 2026 2o5l 2076 33 26 0693 0717 0740 0764 0788 0812 33 *1 2100 2125 2l5o 2174 2199 2224 3:2 27 o836 0860 o883 0907 0931 0955 32 28 2248 2273 2298|2322 2347,2372 3i 28 0979 ioo3 1026 io5o 1074 1098 3i 2 9 2396 2421 2446 2470 2495 2520 26432668 3o 29 1122 n46 1169 1193 1217 1241 3o 3o 9.812544 2569 2594 26l8 29 3o 9.821265 1288 l3l2 i336 i36o 1 384 29 ?i 2692 2717 2742,2766 279I 28l5 28 3i 1407 i43i 1455 1479 i5o2 i526 28 32 284o 2865 28892914 2939 2963 27 32 i55o i5 7 4 1598 1621 i645 1669 27 33 2988 3oi2 3o37 3o62 3o86|3in 2(3 33 1693 1716 1740 1764 1788 1811 26 34 3i35 3i6o3i85 3209 32343258 25 34 i835 i85 9 i883 1906 1930 1954 25 35 32S3 3307 3332 3357 338i 34o6 24 35 1977 2001 2025 2049 2072 2096 24 36 343o 3455 3479 35o4 352 9 '3553 2 3 36 2120 2144 2167 2191 22l5 2238 23 3 7 35 7 8 36o2 3627 365i 36 7 6 3700 22 3 7 2262 2286 23o9 2333 2357 2 38i 22 38 3 7 25 3749 3774 3 799 3823 3848 21 38 2404 2428 2452 2475 2499 2523 21 3 9 38 7 2 3897 3921 3 9 46 3 97 o 3995 2() 39 2546 2570 2594 2617 264l 2665 20 4o 9. 8 1 4019 4o44 4o68 4093 4ii 7 4142 *9 4o 9.822688 2712 2736 2 7 5 9 2783 2807 J 9 4i 4i66 4191 42i5 4240 4264 4289 18 4i 283o 2854 2878 2901 2925 2948 l8 42 43i3 4338 4362 438 7 44n 4436 l l 42 2972 2996 3019 3o43 3o67 3090 17 43 446o 448445o 9 4533 4558 4582 iG 43 3n4 3i3 7 3i6i 3i85 3208 3232 16 44 4607 463i'4656 468o 4704 4729 i5 44 3 2 55 3279 33o3 3326 335o 33 7 3 i5 45 4753 4778 4802 4827 485i 4876 i4 45 3397 3421 3444 3468 3491 35i5 i4 46 4900 4924 4949 4973 499 8 5022 i3 46 353 9 3562 3586 3609 3633 3656 i3 47 5o46 5071 5095 5120 5i44, 5i68 12 47 368o 3704 3727 3 7 5i 3774 3 79 8 12 48 5193 5217 5242 526615290 53i5 1 1 48 382i 3845 3868 3892 3915 3939 1 1 49 533 9 5364 5388 54i2 5437 ! 546i 10 4 9 3 9 63 3 9 86 4oio 4o33 4o57 4o8o 10 5o 9Si5485 55io 5534 5558 5583,5607 9 5o 9.824104 4127 4i5i 4174 4198 4221 9 5i 5632 5656568o 5705 5729 5753 8 5i 4245 4268 4292 43i5 4339 4362 8 52 5 77 8 58o25826j585i 5875^899 7 52 4386 4409 4433 4456 448o 45o3 7 53 5924 5948 597215996,6021 6o45 6 53 4527 455o 45 7 4 4597 4621 4644 6 54 6069 6094 6 u 8; 6 142,6 1 67 6 1 91 5 54 4668 4691 47i5 4738 4761 4785 5 55 62i5 6240 626416288,6312 6337 4 55 48o8 4832 4855 4879 4902 4926 4 56 636i6385'64o9 6434 64586482 3 56 4949 4972 4996 5019 5o43 5o66 3 5 7 6507 653i|6555i6579 66o4 6628 2 5 7 5090 5n3 5 1 36 5i6o 5i83 5207 2 58 6652 6676 6701 6725,6749 6773 1 58 523o 5 2 54 5277 53oo 5324 534 7 1 5 9 6 79 8|6822 l 6846 6870 6894 6919 5 9 5371 53 9 4 5417 544i 5464 5488 I 60" | 50" j 40" J 30" j 20" 1 10" 3 60" 50" | 40" 30" 20" 10' a 3 Co-sine of 49 Degrees. Co-sine of 48 Degiees. ;- p .< 1" 2" 3" 4" 5" 6" 7" 8" 9" 1 I 2 5 7 10 12 15 17 20 22 P. C 1" 2" 3" 4" 5" 6" 7" 8" 9" lart } 2 5 7 10 12 14 17 19 21 Logarithmic Tangents. 65 Tangent of 40 Degrees. 09 1 2 3 4 5 6 7 8 9 109 11 12 i3 i4 i5 iC 17 18 *9 20 9 21 22 23 24 25 ( 26 27 28 29 3o( 3i 32 33 34 35 36 37 38 3 9 4o < 4i 4a 43 44 45 46 hi 48 49 5o 1 5-1 52 53 54 55 56 57 58 5q .923814 4070 4327 4583 484o 5096 5352 5609 5865j5 9 o8 6i22|6i64 .92637616421 10" 20" 30" 40" 50" 3856 4n3 4369 4626 4882 5i39 53g5 5652 3899 4i56 44i2 4669 492S 5i8i 5438 56g4 5951 6207 6463 6634 6677I6720 6890,6933 7147 74o3 765 9 79 i5 8171 8427 8684 .928940 9196 _ 9452 9708 9964 7189 7446 7702 697C 7232 3942 4198 4455 4711 4968 5224 5481 5 7 3 7 5993 625o 65o6 6762 7019 7 2 7 5 7488 753 7744 79588001 82148257 8470 85i3 8726 8769 898219025 9238I9281 9494|9537 97 5o |979 3 .6|. .49 .930220 0262 ,o3o5 o475 o5i8 o56i 3985 U027 424i 4498 4754 5oi 1 5267 5523 5780 6o36 6292 6549 4284 454o 4797 5o53 53io 5566 5822 6079 6335 6591 7787 8o43 8299 8555 8812 9068 9324 g58o 9836 ..92 o348 o6o3 0731 0774|o8i7|o859 0987 1030J1073 11 15 1243 1286J1328 1371 .931499 i542ji584 1627 1755 1797 1 84o 1 883 2010 2o53 2096 2i38 226612309 235 1 2394 2522 2565 : 2607 265o 2778:28201286312906 3o33|3o76 3ii9|3i6i 3289 3332 33743417. 3545 ! 358 7 363o3672 38oo'3843 3885 3928 .934o56!4o 9 8 4i4i 4i84 43 1 1 14354 4397 4439 4567'46io'4652 4695 4822U865I49084950 5o78i5i2i5i63 52061 5333|53 7 6 ! 54i9l546i 558 9 !5632|56 7 4 5 7 i 7 5844 588 7 5 9 3o!5 97 2 61006142 61856227 6355,6398 6440 6483 .936G1 i l 6G53 | 66 9 6|6738 68G6 6908 6951 J6994 7121 7164 72067249 7377^419 746217504 7632767477177759 78877930 7972 801 5 8i42'8i85:822 7 82 7 o 8398,844o'8483 8525 8653,869587388780 8908 ,895o;899'i 9035 68o5:6848 7061 7104 7317 7360 7574 7616 7830 7872 80868129 83428385 85988641 88548897 9110 9153 9366 9409 9622 9878 1 34 0390 0646 0902 n58 i4i4 1669 1925 2181 2437 2692 2948 3204 3459 3715 9665 9921 .177 0433 0689 0945 1200 i456 1712 1968 2224 2479 2735 2991 3246 35o2 3758 3971U013 4226U269 44824524 473714780 4993 5o35 5248:5291 55o4;5546 5759 58o2 6oi5 6057 62 7 o|63i3 65256568 6781 6823 7036,7079 7291 7334 75477^89 78027845 8057 8100 8312 8355 8568 8610 [88238865 9078 91 21 _l>" \\v P. Part Co-tangent of 49 Degrees < 1" 2" 3" 4" 3" 6" 7" 8" \ \ 9 13 17 21 26 30 34 9" 38 Tangent of 4 1 Degrees. v I 40" I 9 10 1 1 12 r; 14 t5 16 17 18 l 9 20 21 22 2'! 24 2 5 26 27 28 29 3o 3i 32 33 34 35 36 37 38 3 9 4o 4i 42 4'; 44 45 4| 90 to Co-tangent of 48 ntrrocs. I" 3" -1" V ff* 7' H' r 8 13 17 21 2't 30 31 {V E cc Logarithmic Sines. Sine of 42 Degrees. 8 Sine of 43 Degrees. 5 9 0" 10" 1 20" j 30" 40" | 50" 0" 10" 1 20" 1 30" 40" 50" o 9.S25511 5534 5558 558i 56o45628 5 9 9.833783 38o6 3828|385i 38 7 4 38 9 6 I 565i 5675 5698 5721 57455768 58 1 3 9 i 9 3941 39643986 4009 4o3 2 53 2 5791 58i5 5838586i 5885 5908 57 2 4o54 4077 4099'4l22 4i44 4167 57 3 5g3i 5 9 55 59786001 6o25 6o48 56 3 4i8 9 4212 4234 4257 4280 4302 56 4 6071 6095 61186141 6i656i88 55 4 43 2 5 4347U370 4392 44 1 5 4437 55 5 6211 6235 62586281 63o5 6328 54 5 446o 4482 45o5 4527 455o 4572 54 e 635i 637563986421 6444 6468 53 6 4595 4617 464o 4662 4685 4707 53 f 7 6491 65i4l6538656i 65846607 52 7 47 3 o 47^2 4775 4797 4820 4842 5q s 663i 6654 6677 6701 672416747 5i 8 4865 488 7 4910 4932 4954 4977 5i 9 6770 6794 68176840 68636887 5o 9 4999 5022 5o44 5o67 5089 5i 12 5o IO 9.826910 6 9 33 6956 6980 7oo3 7026 49 IO g.835i34 5i5 7 5 1 79 52oj 5224 5246 49 ii - r 749 7073 7096 71 19 7142 7165 48 11 5269 5291 53i4 5336 5358 538i 48 12 - f 7 i8 9 7212 7235.7258 7282 73o5 47 12 54o3 5436 5448 54 7 i 5493 55 1 5 47 i3 ,. 7328 7 35i 7374 7398 7421 7444 46 i3 5538 556o 5583 56o5 5627 565o 46 'i 4 7467 7490 75i4 7537 75607583 45 i4 5672 56 9 5 5 7 i 7 5 7 3 9 5762 5784 45 i5 7606 7629 7653,7676 76997722 44 i5 5807 5829 585i 5874j58o6 J918 44 :6 7745 7768 77927815 78387861 43 16 5941 5963 5 9 86 6oo8j6o3o 6o53 43- 17 7884 7907 7931 7954 7977 8000 42 J 7 6075 6097 6120 6i42'6i64 6187 4 a iS 8023 8o46 8069 8093 8ii68i3q 4i 18 6209 623i 625462766298 632i 4i "9 8162 8i85 82088231 82548278 4o J 9 6343 6365 6388 64io 6432 6455 4o CO 9.828301 8324 83478370 83 9 3 ; 84i6 39 20 q. 836477 6499 652265446566 658 9 39 21 8439 8462 8485 8509 8532J8555 38 21 6611 6633 665616678.6700 6722 38 22 85 7 8 86oi 86248647 867o'8693 37 22 6745 6767 6789 68126834 6856 3 7 23 8716 8 7 3 9 87628786 88098832 36 23 6878 6901 6923 6 9 456 9 68 6990 36 24 8855 8878 8901 8924 89478970 35 24 7012 7034 7 o5 7 7079 7101 7123 35 25 8993 9016 9039 9062 9085 9108 34 25 7146 7168 7190 7212 7235 7 25 7 34 26 9i3i 9i54 9177 9200 9223,9246 33 26 7279 73oi 7324 7346 7368 7 3 9 o 33 27 9269 9292 931 5 9338 9361 9384 32 27 7412 7435 7457 7479 75oi 7 52 4 32 28 9407 943o 9453 9476 94999522 3i 28 75467568 7 5 9 7612 7 635 7 65 7 3i 29 9545 9 568 95qi 9614 9637 9660 3o 29 7679 7701 7723 7746 7768 7790 3o : 3o y. 829683 9706 9729 9752 9775.9798 29 3o 9.8378127834 7 85 7 7879 7901 7923 29 3i 982I 9844 9867 9890 9913 9936 28 3i 7945 7967 7990 8012 8o34 8o56 28 i 32 99 5 9 9982 ... .51. .28 ..5i .. 7 4 27 32 8078 8100 8123 8i45 8167 8189 27 33 9.830097 0120 0142 oi65 0188 0211 26 33 8211 8233 8256 8278 83oo 8322 26 '34 0234 0257 0280 o3o3 0326 o349 25 34 8344 8366 8388 84io8433 8455 25 35 0372 o3g5 04170440 o463 0486 24 35 8477 8499 852i 8543 8565 853 7 24 36 0509 o532 o555 057810601 0624 23 36 861c 8632 8654 867686988720 2j L3 7 ! 38 0646 0669 0692 0715 0738 0761 22 37 8742 8 7 64 8786 8808 883i 8853 22 0784 0807 08290852 0875 089S 2: 38 8875 8897 8919 8941 89638985 21 i 3 9 0921 0944 09670989 1 012 1 o35 20 3 9 9007 9029 9o5i 9073 9095 91 18 20 i 40 9.83io58 1081 no4 1127 1149J1172 J 9 4o 9.839140 9162 9184 9206 9228 m25o J 9 4i 1195 1218 I24i|i263 1286 1309 18 4i 9272 9294 9316 9338 9360 9382 18 42 i332 i355 13781400 i423 1 446" 17 42 9404 94269448 94709492 9 5i4 17 43 1469 i492Ji5i4i537|i56o|i583|i6 43 9536 9558 9 58o 9602 9624 9 646 16 44 1606 1628 i65 1 1 16741 1697 1720 1 5 44 9668 9690 9712 97349756 9778 i5 45 1742 i 7 65 1788 1811 i833 i856 i4 45 9800 9822 9844 98669888 9910I14 46 1879 1902 1924 1947 1970 i 99 3 i3 46 9932 9954 9976 9998). .20 . .42 i3 47 20l5 2o38 2o6i,2o84j2io6 2129 12 4 7 *.84oo64 0086 0108 oi3o'oi52 0174 12 ; 48 2l52 2i 7 5 2197 2220 2243 2266 11 48 0196 0218 0240 0262 0284 o3o6 11 ! 49 2288 23ll 2334 2356 2379 2402 IO 49 o328 o35o 0372 0393 o4i5 0437 IO 5o 9.832425 2447 2470 2493 2 5i5 2538 9 5o 9.840459 o43i o5o3 o525 o547 0569 9 5i 256i 2584 2606 2629 2652 2674 8 5i 0591 o6i3 o635 0657 0678 0700 3 52 2697 2720 2742 2765 2788 2810 7 52 0722 0744 0766 078808100832 7 53 2833 2856 2878 2901 2924 2946 6 53 o854o8 7 6 0897 0919 0941 0963 6 54 2969 2992 3oi4 3o37 3o6o 3082 5 54 0985 1007 1029 io5i 1072 1094 5 55 3io5 3ia8 3i5o 3i 7 3 3196 3218 4 55 1116 n38 1 1 60 1182 1204 1226 4 56 324i 3263 3286 3309 333i 3354 3 56 1247 1269 1291 i3i3 i335 i357 3 5 7 3377 3399 3422 3444 3467 3490 2 57 i3 7 8 i4oo 1422 i444i466 i488 2 58 35i2 3535 355 7 358o 36o3 3625 1 58 1 509 i53i i553 1 575 1^97 1 61 9 1 5? 3648J3670 36 9 3 3716 3 7 38 3 7 6i 5 9 1640 1662 1684 1706,1728 1749 60" J 50" 40" 30" 20" 10" 3 60" | 50" 40" 30" | 20" | 10" a Co-sine of 47 Degrees. Co-sine of 46 Degrees. P. < 1" 2" 3' 5 7 4" 9 5" ( 11 1 " 7" 4 16 8" 18 9" 21 P. j 1 1" 2" 3'' 4" 5" 6" 7' rartj 4 7 9 n 13 K 8" 18 9" 20 Logarithmic Tangents. Tangent of 42 Degrees. 10" 20" 30" 40" 50" Tangent of 43 Degrees. 10" 20" 30" 40" i 3 3 4 5 6 7 8 9 io 1 1 12 i3 i4 i5 16 '7 r8 '9 2C) 21 28 2 '3 24 25 26 27 28 -9 3o 3 1 3a 33 34 35 36 3 7 38 3 9 4o 4i 42 43 44 //> 46 47 48 4 9 5o 5r 52 53 5 i 55 56 57 58 5 9 .954437 4691 4946 5200 5454 5708 5961 448o 4734 5242 5496 5750 6oo4 4522 4776 5o3o 5284 5538 5792 4564 4819 5073 5327 558i 5835 62i5j6258 6469 65i2 672316766 ,95697717020 7231 7273 7485 7527 6o46 6088 63oo6342 6554 6596 6808 685o 7062 7104 73167358 77 3 9 799 3 8247 85oo 8754 9008 9262 .959516 9769 .960023 0277 o53o 0784 7781 8o35 8289 8543 8796 9o5o 93o4 9558 9812 oo65 0319 98549896 0108,0150 o36i o4o4 o573|o6i5 0657 0826 0869 091 1 io38jio8o 1122 n65 I292'i334]i376 i4i8 4607 486i 5n5 536 9 5623 58 77 6i3i 6385 663 9 68 9 3 7146 7400 7654 7908 8162 84i6 8670 8923 9177 9 43i 9600^642 9685 9938 0192 0446 0700 7 5 7 o 7823 8077 833i 8585 8839 9093 761 7866 8120 83 7 3 8627 9 i35 93469389 0953 0996 1207 1249 i545|i58 7 1799 1 84 1 9.982052 2095 23062348 i63p 1672 1 883 1926 2137 2179 2391 2433 2560J2602J2644 2686 2813 2856 ! 2898 2940 3067 3109 3 1 5 1 3194 3320 3363 34o5 3447 3574 36i6|3659 3701 3828 3870J3912J3954 4o8i 4i23 4i66 l 42o8 4335 4377 44i9|446i 9.964588 463o l 4673l47i5 484s 4884)4926 4968 5095 5i37 5i8o 5391 5433 56445687 58 9 8594o 6i5i 6193 5349 56o2 5855 6109 6362 5o 58 ^7 56 55 54 53 5 a 5 1 5o 4o 48 47 46 45 44 43 42 4 1 4o 3 9 9981I38 0234I37 o488l36 0742135 34 33 i46iji5o3 1714 1787 [968 2010 2222 2264 2475 2517 2729 2982 3236 3489 3 7 43 3 997 425o 45o4 4649 4903 5i5 7 5-4 1 1 5665 5919 6i 7 3 6427 6681 6 9 35 7189 7443 7697 7 9 5o 8204 8458 8712 8966 9219 9473 9727 2771 3o25 3278 3532 3 7 85J23 4o39|22 4292J2I 4546 ! 2o 4757U79919 5on 5o53 ! i8 5222 5264 53o6ii 7 5475 55i8|556o 16 5729 5771 58i 3 1 5 5982 6024I6067 i4 6236J62 7 8;632o|i3 12 :64o5 6447 6489 653i;65 7 4 6616 6658 6700 6742 678516827 6869 69 1 1 6 9 54 fi fi ,fi - .967123 7 3 7 6 7629 7883 8i36 838 9 643 8896 9*49 94o3 71657207 74i8]746o 76727714 7925 7967 < 1; s 8220 8432 8474 89388980 91929234 9445 9 48 7 6996 7249 75o3 7756 8009 8263 85i6 8769 9023 9276 50" I 40" 9 5 -9 9 5 7' 7o38 7291 7545 7798 8o52 83o5 8558 B8ia 9065 93x8 7080 7334 7 58 7 7840 8094 834 7 8600 8854 9107 9360 9614 10" Co-tangent of 17 Degrees. ( 1// an // PPart i^ ~8 13 9.969656 9698 99 5 0205 o458 071 1 0964 9909 .970162 o4i6 0669 0922 1175 1429 1682 1935 .97218812230 244ip484 2695 2737 2948 2990 3201 3243 34543496 3707 3749 39604002 9740 9994 0247 o5oo 0753 1007 18 1260 1471 i5i3 97 83 .36 0289 0542 0796 1049 l302 i555 9825 78 o33i o584 o838 1091 1 344 5 97 9867 59 120 58 1724 1766 1808 i85i I977 20I9|2062[2I04 2273J23i5'2357 2526 2568 2610 2779 2821 3o32 3074 3285 3327 3538 3 79 i 4o45 42 1 3 4255U298 4466 4509I4551 9 . 974720 4762J4804 4973 5oi5 5057J5099 52265268 53 1 o 5352 358i 3834 4087 434o 45 9 3 4846 7081 7334 7 58 7 7840 8093 8346 56o5 5858 6m 6364 6617 6870 7123 7377 763o 7882 8i35 8388 864 1 8894 9147 9400 9 653 9906 2863 3n6 3370 3623 0373 0627 0880 n33 1 386 1640 1893 2 1 46 2399 2652 2905 3i59 3412 3665 38763918 4129 U171 43824424 463546 77 48884930 5i4i 5i83 9 6997I7039 3 9.977250 7292 3i 75037545 32 7756 7798 33 8oo9-8o5i 34 8262|83o4 35 85i5'8557J8599 36 8768:88108852 37 9021 9063 9105 38 92749316J9358 39 95279569:9611 40 9.979780 9822'9864 4i 9.98003310075 pi 1 7J01 59 42 43 44 45 46 47 u 48 io 4 9 9 I 5o 8 1 5 1 7 52 6 53 5 54 4 55 :; 56 2 5 7 1 58 o 59 '7 56 55 54 53 5 a 5i 5o 4o 48 4 7 46 45 44 43 la 4i 4o 3 9 38 37 36 35 34 33 32 3i 3o 9 53 9 4 5437 5479'552i|5563 56o5 5647 ^690 5732 5 77 4 58i6 5858 5 9 oi 5 9 43 5985 6027 6069 6m Gi 54 6196 6238 6280 6322 6364 6407 6449 6491 6533 6575 6617 6660)6702 6744J6786I6828 6870 6913)6955 7166 7208 74x9 7461 7672,771428 7925796727 8178822036 843i 8473 a5 8684872624 8 9 3 7 8979 23 9I9O 9232'22 9442 ! 9485'2i 969') 9738I20 9948 9990' 1 9 0201I0243I18 86Jo3a8|o37o|o4ia 04540496 17 o538|o58ip623p665p707 0749 16 o79ip834jo876p9i8p96o'ioo2!i5 io44 1086 1129 1 171 : 1 2i3, 12551x4 i297 l i339 l i382 l i424)i466i5o8)i3 i55o'i592 l i634 ! i677Ji7i9'i76i 12 18 ". i845 1887 1929 1972)2014 11 2056 2O98 -2l4"'2l82|2224 1 2267 , IO 9 8 7 6 5 4 . 3 4o79'4i2i 4i63 4-o5 42474289I 2 4332 ! 4374 44ir> 4458 45oo|454a 1 9.982309 235i 2393a435a477a5i9 2562 26o4's646 36883730 377a 2814 2857J3899 3941 3983 3oa5 3o67J3io9 3i5a3i94 3a36 3278 332..'i3n2 34o4 3447 348 35 7 3 3Gi53657 ! 3G9<;'3 7 42 3 7 84 3826 3868 3910 395a 3994 U037 4584|4627 ! 466 9 ;-i. :.-'> -. 4:/> 20" 4" 5" 6" 7" 17 21 23 3J 0" 38 P. Part Co-tangent of 46 Degrees :" 4" 5" 6" 7" 8" 13 17 21 2.'> 33 34 < 1" 2" i 4 8 08 LOGARITHMIC S I N E & !3 Sine of 44 Degrees. S3 Sine of 45 Degrees. 1 0" 10" 20" | 30" 40" 50" 0" | 10" 20" 30" W 50" 9.841771 i 79 3 i8i5|i83 7 i858 1880 5 9 O 9.849485 9506 9527 9 548 9569 9590 5 9 I 1902 1924 1946 1967 1989 201 1 58 I 9611 9632 9653 9674 969S Q716 58 i 2 2033 2o55 2076:2098 2120 2l42 5.7 2 97 38 97599780 980/ 9822 9843 57 3 2i63 2i85 2207 2229 225o 2272 56 3 9864 9 885 9906 992T 9948 9969 56 4 2294 23i6 2337 2359 238i 24o3 55 4 9990 . . 11 ..32 ..53 .. 7 4 .. 9 5 55 5 2424 2446 2468 2490 25n 2533 54 5 9.85on6 0137 oi58 0179 0200 022i 54 6 2555 2577 2598 2620 2642 2663 53 6 0242 0263 0284 o3o5 o326 0347 53 7 2685 2707 2729 2750 2772 2794 52 7 o368 o388 0409 o43o o45 1 0472 52 8 28i5 2837J28592880 2902 2924 5i 8 0493 o5i4 o535 o556 o5 77 0598 5i 9 2946 2967 2989 3on 3o32 3o54 5o 9 0619 o64o 0661 0682 0703 072^ 5o 1 I0 9.843076 3097 3119 3i4i 3i62 3i84 49 10 9.850745 0766 0787 0807 0828 0849 4 9 ! " 3206 3227 3249 3271 3292 33i4 48 11 0870 0891 0912 0933 0954 97 5 48 ! 12 3336 3357 3379 34oi 3422 3444 47 12 0996 1017 io38 io58 1079 I I OO 47 i3 3466 348713509 353o 3552 35 7 4 46 i3 1121 1 142] 1 163 1184 I2o5 1226 46 i4 3595 36i 7.3639 366o 3682 3703 45 i4 1246 1267 1288 1309 i33o i35i 45 i5 3725 37473768 3 79 o 38n 3833 44 i5 1372 i3g3 i4i3 i434 i455 1476 U 16 2855 38763898 3 9 i 9 3941 3 9 63 43 16 1497 i5i8 1539 1559 i58o 1601 43 17 3 9 84 4oo6 4027 4049 4071 4092 42 17 1622 i643 1664 i685 1705 1726 42 18 4u4 4i35 4i57 4178 4200 4222 4i 18 1747 1768 1789 1810 i83o i85i 4i 19 4243 4265'4286 43o8 4329 435i 4o J 9 1872 1893 1914 1935 1955 1976 4o 20 9.844372 43 9 4'44i6 443 7 445 9 448o 39 20 9.851997 2018 2039 2059 2080 2101 39 21 45o2 45234545 4566 4588 4609 38 21 2122 2i43 2i63 2184 2205 2226 38 22 463i 46524674 4696 4717 4739 37 22 2247 2267 2288 2309 233o 235o 3? 23 4760 47824803 4825 4846 4868 36 23 2371 2392 241 3 2434 2454 2475 36 24 4889 4911 4932 4954 4975 4997 35 24 2496 2517 2537 2558 :j5 79 2600 35 25 5oi8 5o4o 5 06 1 5o83 5io4 5i26 34 25 2620 2641 2662 2683 2703 2724 34 26 5i47 5i68" 5190 5211 5233 5254 33 26 2745 2766 2786 2807 2828 2849 33 27 5276 5297 5319 534o 5362 5383 32 27 2869 2890 2911 2931 2952 2973 32 28 54o5 5426 5447 5469 5490 55i2 3i 28 2994 3oi4 3o35 3o56 3076 3o 97 3i 29 5533 5555 55 7 6;55 9 8 5619 564o 3o 29 3n8 3i39 3i59 3i8o 320I 3221 3o 3o 9.845662 5683 5705 5726 5 7 4 7 5769 29 3o 9.853242 3 2 63 3283 33o43325 3345 29 3i 5 79 o 58i2;5833 5855 58765897 28 3i 3366 3387 34o8 3428 3449 3470 28 32 5 9 i 9 5940 5962 5 9 83 6oo4 6026 27 32 3490 35n 3532 3552 35 7 3 3594 27 33 6047 6069 6090 6111 6i33l6i54 26 33 36i4 3635 3655 3676 36 97 3 7 I 7 26 34 6i 7 5 6197 6218 6240 6261 6282 25 34 3738 3 7 59 3 779 38oo 3821 384i 25 35 63o4 63 2 5 6346 6368 63896410 24 35 3862 3883 3903 3 9 24 3944 3965124 36 6432 6453 64746496 65i 7 6539 66456667 23 36 3 9 86 4oo6 4027 4047 4o68 4o8 9 ; 2 3 3 7 656o 658i 66o3 6624 22 37 4109 4i3o 4i5i 4171 4192 4212)22 38 6688 6709 6731 6752 677316794 21 38 4233 4254 4274 4295 43i5 4336J2I 3 9 6816 68376858 6880 6901 6922 20 39 4356 43 77 4398 44i8 443 9 4459I20 4o 9.846944 6965 6986 7008 7093 7114 7i35 7029 7o5o 19 4o 9.85448c 45oo 452i 4542 4562 4583 19 4i 7071 7157J7178 l8 4i 46o3 4624 4644 4665 4686 4706 18 42 7i99 7220*7242 7263 7284 73o5 *7 42 4727 4747 4768 4788 4809 4829 17 43 7327 73487369 7 3 9 i 7412 7433 16 43 485o 4870 48 9 i 4911 4932 4953 16 44 7454 7476 7497 7 5i8 7539^561 i5 44 4973 4994 5oi4 5o35 5o55 5076 i5 45 7582 7603 7624 7645 76677688 i4 45 5096,51 17 5i3 7 5i58 5i 7 8 5199 1 4 46 7709 7730.7752 7773 7794 7815 i3 46 52i9'524o 5260 5281 53oi 5322 i3 4 7 7836 h858 7879I 7900 7921 7943 12 47 534215363 5383 54o4 5424 5445 12 48 7964 7985 8006:8027 8049 8070 11 48 5465 5485 55o6 5526 5547 5567 11 4 9 8091 8ii2 ! 8i338i54 8176 8197 10 49 5588 56o8 5629 5649 5670 5690 10 5o 9.848218 8239 , 826o8282 83o38324 9 5o 9 . 85571 1 5731 5 7 5i 5 77 2 5 79 2 58i3 9 ; 5i 8345 8366 838 7 '84o9 843o845i 8 5i 5833 5854 58 7 4 58 9 5 5915 5 9 35 8 52 8472 8493 85i4l8535 85578578 7 52 595615976 5 997 6017 6o38 6o58 7 53 8599 86208641 8662 86838705 6 53 6078 6099 6119 6i4o 6160 6180 6 54 8726 874787688789 8810 883i 5 54 6201 6221 6242 6262 6282 63o3 5 55 8852 887488958916 89378958 4 55 6323!6344 63646384 64o5 6425 4 56 8979 9000 9021 9042 9063 9085 3 56 6446'6466 6486 65o 7 652 7 6547 3 5 7 9106 912719148 9169 9190 9211 2 5 7 6568j6588!66o9 6629 6649,6670 2 ! 58 9232 92.53 9274,9295 o3i 6 9338 1 58 6690 67 10 6731' 675 1 6771 '6792 1 5 9 . 9359 9380 9401 9422 9443 9464 5 9 68i2|6832:6853 6873;68 9 3 ; 69i4 60" 50" j 40" | 30" | 20" J 10" a 60" j 50" j 40" I 30" | 20" ! 10" a Co-sine of 45 Degrees. Co-sine of 44 Degrees. P., .( 1" 2" 3" 4" 5" 6" 7" 8" 9" 1 l&rl \ 2 4 6 9 11 13 15 17 19 1 P. C 1" 2" 3" 4" 5" 6" 7" 8" 9" j lart ( 2 4 6 8 10 12 14 17 19 j Logarithmic Tangents. C9 Tangent of 44 Degrees. 40" I 50" Tangent of 45 Degrees. 0" 10" 30" 30" 40" 5C O i I 3 3 4 5 6 7 8 9 109 11 1 a 1 3 i4 1 5 iG 17 18 y 20 21 22 23 24 25 26 27 28 29I 3o|9 3i 32 33 34 35 36 37 38 3 9 409 4i 42 43 44 45 46 4 7 48 49. 5o 9 5i 52 53 54 55 56 57 58 5 9 .984837 5090 5343 55 9 6 5848 6101 6354 4879 5i32 5385 5638 5891 6i43 63 9 6 6607 6649 6902 7i54 6860 7112 .987365 7618 7871 8i23 83 7 6 8629 8882 9i34 9 38 7 9640 .989893 ,990145 0398 o65i 0903 7407 7660 79 i3 8166 84i8 8671 8924 9177 9429 9682 9935 0187 o44o 4921 5i 7 4 5427 568o 5933 6i85 6438 6691 6 9 44 7197 7449 7702 7955 8208 846o 8 7 i3 8966 9219 9471 9724 9977 0230 0482 4964 5216 5469 5722 5975 6228 648o 6 7 33 5oo6 5259 55n 5 7 64 5o48 53oi 5553 58o6 601716059 6270 63i2 6523 6775 6986 7028 7239 7281 7491 17534 7744' 6565 6817 7070 7323 7 5 7 6 7786 7829 8o39;8o8i 8292^334 8545;S58 7 87978840 9o5o 9092 926119303^9345 9613 9556-9598 976698089850 7997 825o 85o3 8 7 55 0693 0735 1 1 56 in 0946)0988 1240 i4 9 3 1746 1999 *9 0272 o524 0777 io3o 1283 i535 204l 25l|2293 25o4 2546 27572799 3009 3o5i 3262 33o4 35i5 3557 3767 38io 4062 43i5 4568 61 Lio3 o3i4o356 0567 0609 0819 0861 1072 in4 i325ji367 1577 1620 18301872 2o83 2125 2336J2378 a588a63o 2841 J2883 3og4 3i36 33463388 3599I3641 3852;38 9 4 4io44i46 435714399 4610 4652 48624905 5n55i57 5368J54io 562o ! 5663 58735915 6126:6168 63786421 663i 6673 6884^6926 7136:7179 7389*7431 76427684 789479 3 7 8105:81478189 v: ;i 82738316 8358 84008442 8484 "J26.8568:86io!8652'8695 8737 877918821 |8863J8 9 o5:8 9 47 8989 9031 907491 16 91589300 9242 9284 9326 9368|94i0 9453 9495 9537 9579 962119663J9705 9747 '97899832 J 9874 9916995* v'~~ 1 50" I ay I air "~ 1409 i45i :6G2 1704 1 914 1956 2167 2209 992420 2462 2672 2715 292512967 3l78 3220 343 I 3473 36833725 3936 3978U020 4189 423i U273 444i 4483 45a6 r - 4694|4736 4778 U820 . 994947:4989,503 1 j 5073 5199^241 528415326 5452 5494 5536j55 7 8 5705 5747 5789I5831 5957'59996o42|6o84 62io'6252 6294 6336 G463'65o5 6547 658 9 67156757168006842 696817010 7n r ) .997473:751 5 j 7 558 7726J7768J810 7979'8o2i|8o63 7094 7347 7600 7852 nc P.I Co- tangent of 45 Degrees. 5" 6" 7" W "'1 4 j466 25o 9 10.012635I2677 2719 2888]293o l 29 7 2 3i4o3i833225 3393 3435 3477 016810211 59 0421 o463 58 0674 0716157 0926.0969J56 11791221155 i432i474p4 1684 1727,53 1937 1979 52 2232 2485 2 7 3 7 2190 2442 2653 2695 2906 2948^2990 3i58 34u 3664 3916 4169 4422 46 7 4 4927 5i8o 5432 5685 5 9 38 6190 6443 6696 6949 7201 7454 7707 79 5 9 8212 8465 8717 8970 9223 9476 0487 o 7 3 9 0992 1245 1497 1750 2oo3 2256 2761 3oi4 3267 3520 3200 3243 3453(3495 37063748 3g58 42 1 1 4464 4ooi 425343 45o6 42 4716-4759 4i 4969 5on 4 5222(5264 39 5474 55i 7 38 5727 5769 37 5980 6022 62336275 6485|652 7 67386780 6991 7033 7243 7285 7496:7538 7749I779 1 8ooi,8o44 82548296 85078549 87608802 90i2'9o54|24 9265 9307)23 95i8'956o|22 9770 9813 21 a3 ..65 20 027G o3i8 19 0529 0571 18 0781 o8a3 17 io34 1076 16 1287 1329 i5 1 54o 1 582 1792 i834 2045 2087 2298 234o 255i 259'J a8o3'a846 3o56 3098 3309 335 1 3562 36o4 3646 3688 3730(3772 38i 5 3S57 389913941 3983U025U067 4109 4i5a U194I4236 4278 432014362 44o4 4447;4489 453i 45 7 3 46i5 4657 4699I474 1 478448a6 4868 4910J4953 4994 5o36,5o79'5i2i m I -JO" '" 10 Co-tangent of 44 Degrees. i> p A 1 " -" 3 " 4 " 5 " " r 1 lwr \ i g 13 17 21 23 2f fi" 7" 6" 9' 20 34 38 70 Logarithmic Sines. A M 1 Sine of 46 Degrees. 1 II A 2 Sine of 47 Degrees. 1 0" 10" | 20" | 30" 40" 50" 0" 10" | 20" 30" 40" 50" I o ^9. 856934 6 9 54 6975J6995 7015 7o36 5 9 9.864127 4l47J4l67 4i86 4206 4226|5i*i 5aa4 5a66 1 5 9 io.r3c<'9i 0175 <>2 I 7 0260 o3o2 > 59 53o 9 535 1 5393 54 $ao| 1 60" 50" li r | .TO" 20" 10" 1 60" j SO" [ 4(>" | 30" | 'JO' | 10" I Co-tangent of 43 Degrees. Co-tangent of 42 Degrees. L p ' ( 4 " 3" 9 13 4" 17 :,'' t; 21 2 ' 7" 8" 0" > 30 31 38 j: ' < 1" 2" 3" 4" .V 6" 7" 8" r Iari > 4 8 I?- 17 21 25 30 34 38 J 72 Logarithmic Sines. a 53 Sine of 48 Degrees. Sine of 49 Degrees. 0' 10' 1 20" ! 30" | 40' 50' V 10" 1 20" 1 30" 40' 50" o 9.871073 I092I1IH H3o H49 1168 5 9 O 9.877780 7798 7816 7835 7853 7871 5o I 1187 i2o6!i225 1244 1263 1282 58 I 7890 7908 7926 7945 79 63 7981 58 2 i3oi i32o!i339 ! i358i377 i3g5 5 7 2 7999 8018 8o36 8o54 8072 8091 5 7 3 i4i4 i433Ji452 1471 1490 1 509 56 5 8109 8127 8i46 8164 8182 8200 56 \ 4 i528 i547 i566 i585i6o4 1622 55 4 8219 8237 8255 8273 8292 83io 55 5 i64i 1660 1679 1698 1717 i 7 36 54 5 8328 8346 8365 8383 84oi 8419 54 6 i 7 55 1774J1793 1811 i83o 1849 53 6 8438 8456 8474 8492 85n 852 9 53 7 1868 1887 1906 1925 1944 1962 52 7 854 7 8565 8583 8602 8620 8638 52 8 1981 2000 2019 2o38 2057 2076 5i 8 8656 86 7 5 8693 8711 8729 8747 5i 9 2095 2Il3'2l32 2l5l|2I70 2189 5o 9 8766 8784 8802 8820 8838 885 7 5o 10 9.872208 2226 2245i2264,2283 2302 49 10 9/878875 88 9 3 8911 8929 8 9 48 8966 4 9 ii 2321 2340235823772396 24i5 48 11 8984 9002 9020 9039 9 o5 7 9075 48 12 2434 2452 2471 2490*2509 2528 47 12 9093 9111 9129 9i48 9166 9i84 47 i3 2547 2565 2584 2603 2622 64l 46 i3 9202 9220 9238 9 25 7 9275 9293 46 i4 2659 2678 2697 2716 2735 2753545 286644 2979 43 14 93n 9329 9347 9 365 9 384 9402 45 i5 2772 2791,2810 2829 [2847 i5 9420 9 438 9456 9474 9492 95n 44 16 2885 2904 292312941 2960 16 9529 9547 9565 9583 9601 9619 43 J 7 2998 3oi6 3o35 3o54 3073 3091 42 *7 9 63 7 9656 9674 9692 9710 9728 4a 18 3uo 3129 3i48|3i66 3i85 32o4 4i 18 9746 9764 9782 98009819 9 83 7 4i J 9 3223 324i 326o 3279 3298 33i6 4o J 9 9 855 9873 9891 9909 9927 9945 4o 20 9.873335 3354!3373 3391 34io 3429 39 20 9.879963 9981 ..18 ..36 ..54 39 21 3448 3466^485 35o4 3522 354i 38 21 9.880072 0090 0108 0126 oi44 0162 38 22 356o 3579 3597 36i6 3635 3653 37 36 22 0180 0198 0216 0234 0253 0271 37 23 3672 3691 3710 3728 3 7 47 3 7 66 23 0289 0307 o325 o343 o36i o3 79 36 24 3784 38o3 3822 384o 3859 38 7 8 35 24 o3 9 7 o4i5 o433 o45 1 0469 0487 35 25 3896 3915 3934 3 9 53 3 97 i 3990 34 25 o5o5 o523 o54i 0559 o5 77 0595 34 26 4009 4027 4o46 4o65 4o83 4l02 33 26 o6i3 o63i 0649 0667 0686 0704 33 27 4l2I 4i3g'4i58[4i77 4195 42l4 32 27 0722 0740 o 7 58 0776 0794 0812 32 28 4232 425i 42704288 43o 7 4326 3i 28 o83o 0848 0866 0884 0902 0920 3i ! 29 4344 4363 4382 44oo 44i9 4438 3o 29 o 9 38 0956 0974 0992 IOIO 1028 3o 3o 9.874456 447 5 4493 45i2 453i 4549 29 3o 9.881046 io63 1081 1099 1 1 17 n35 29 3i 4568 458646o5 4624 4642 4661 28 3i :i53 1171 1189 1207 1225 1243 28 32 468o 4698 4717 4735 47M 4 77 3 27 32 1261 1279 1297 i3i5 i333 i35i 27 33 4791 48io ] 4828 4847 4866 4884 26 33 1369 i38 7 i4o5 l423 i44i 1459 26 34 4903 4921 494o 4958 4977(4996 25 34 1477 1495 l5l2 i53o 1 548 i566 25 35 5oi4 5o33 5o5i 5070 5o88 5io7 24 35 1 564 1602 1620 i638 i656 1674 24 36 5i26 5i44 5i63 5i8i 5200 5218 23 36 1692 1710 1728 1746 1763 1781 23 3 7 523 7 5255 5274 5293 53n 533o 22 37 1799 1817 i835 i853 1871 18S9 22 38 5348 5367 5385 54o4 5422 544i 21 38 1907 1925 1942 i960 1978 1996 21 3 9 545 9 54785496 55i5 55345552 20 39 20l4 2o32 2o5o 2068 2086 2io3 20 4o 9.875571 558956o8 5626 56455663 *9 4o 9.882I2I 2l39 2157 2175 2193 2211 19 4i 5682 5700 5719 5 7 3 7 5756,5774 18 4i 2229 2246 2264 2282 23oo 23i8 18 42 5 79 3 5 811 583o 5848 58675885 *7 42 2336 2354 2371 2389 2407 2425 17 43 5904 59225941 5959 5978J5996 6088 6107 16 43 2443 2461 2479 2496 25i4 20 j2 16 44 6014 6o33 6o5i 6070 i5 44 255o 2568 2586 26o3 2621 2639 i5 45 6i25 6i44 6162 6181 61996218 i4 45 2657 2675 2692 2710 2728 2746 U 46 6236 6255 6273 6291 63io63 2 8 i3 46 2764 2782 2799 2817 2835 2853 i3 4 7 634 7 63656384 6402 6421 6439 12 4 7 2871 2888 2906 2924 2942 2960 12 48 645 7 6476 6494 65i3 653i 655o 11 48 2977 2995 3oi3 3o3i 3o49 3o66 11 49 6568 658666o5 6623 66426660 10 4 9 3o84 3l02 3l20 3i37 3i55 3i 7 3 10 5o 9.876678 6697 6715 6 7 34 6752^770 9 5o 9.883191 3209 3226 3244 3262 3280 9 5i 6789 6807,6826 6844 68626881 8 5i 3297 33i5 3333 335i 3368 33S6 8 52 6899 6 9 i86 9 36 6954 6973,6991 7083^101 7 52 34o4 3422 3439 345 7 3475 3493 7 53 7010 7028:7046 7065 6 53 35io 3528 3546 3564 358i 3599 6 54 7120 71387157 7175 7193,7212 5 54 3617 3635 3652 3670 36883 7 o5 5 55 7230 7248,7267 7285 73o3|7322 4 55 372? 374i 3 7 5 9 3776 3794 38i2 4 56 734o 7358 7377 7 3o5 74i37432 3 56 3829 3847 3865 3883 3900 8918 3 5 7 745o 7468 7 487 75o5 7 523 7542 2 57 3936,3953:3971 3989 4oo6 4024 2 58 756o 757817597 7615 7633 7652 1 58 4o42 4o6oj4o77 4095 4n34i3o 1 5 9 7670 7688 7707I7725 7743 7762 5 9 4i48 4i66t4i83 4201 42194236 60" 50" 1 40" | 30" 20" j 10" fi 63" 1 50" j 40" I 30" | 20" | 10" S Co-sine of 41 Degrees. S _ Co-sine of 40 Degrees. P. p (1" 2" 3" 4" 5" 6" 7" 8" 9" I 2 4 6 7 9 11 13 15 17 P. J JM 2 // 3// 4// 5// Q 7 & < QJ, ral1 } 2 4 5 7 9 11 13 14 16 Logarithmic Tangents 73 as Tangent of 48 Degrees. & Tangent of 49 Degrees. 5 9 0" 10" 20" 30" 40" 50" 0" IV- 20" 30" | 40" ) 50" o io.o45563 56o5 5647 5690 5732 5 77 4 59 10.060837 0879 0922 0965|ioo7Jio5o I 58i 7 5859 5901 5 9 44 5986 6028 58 1 1092 n35 II77 1220I1262 i3o5 58 9 6071 6n3 6i55 6198 624o 6282 57 2 1 347 1390 l432 i4?5 1517 i56o 57 3 63 2 5 6367 6409 6452 6494 6537 56 3 1602 i645 1688 1730 1773 i8i5 56 4 6579 6621 6664 6706 6748 6791 55 4 i858 1900 1943 1985 202S 2070 55 5 6833 6875 6918 6960 7002 7o45 54 5 21 13 2i55 2198 2241 2283 2326 54 6 7087 7i3o 7172 7214 7 25 7 7299 53 6 2368 241 1 2453 2496 2538J258i 53 7 7 34i 7384 7426 7468 7DII 7553 52 7 2623 2666 2709 2751 2794,2836 5a 8 7 5 9 5 7638 7680 7723 77 65 7807 5i 8 2879 2921 2964 3oo6 3o49 3092 5i 9 785o 7892 7934 7977 8019 8062 5o 9 3 1 34 3i 77 3219 3262 33o4|3347 5o IO 10.048104 8i46 8189 823i 8273 83i6 49 10 10.063389 3432 3475 35i 7 356o 36o2 4 9 ii 8358J84co 8443 8485 85 2 8 8570 48 11 3645 368 7 3730 3 77 3 38i53858 48 12 8612 8655 8697 8 7 3 9 8782 8824 47 12 3900 3943 3985 4028 4070 4n3 47 i3 8867 8909 8951 8994 9036 9079 46 1 3 4i56 4198 4241 4283 43264368 46 i4 9121 9163 9206 9248 9290 9333 45 i4 44n 4454 4496 4539 458i 4624 45 i5 9 3 7 5 94i8 9460 9502 95459587 44 1 5 4667 4709 4752 4794 4837U879 44 16 9629 9672 9714 97 5 7 9799 9841 43 t6 4922 4 9 65 5007 5o5c 5092 5 1 35 43 !7 9884 9926 9969 . .11 ..53 ..96 42 l 7 5i 7 8 5220 5263 53o5 5348I5390 4a 18 ic.o5oi38|oi8i 0223 0265 o3o8 o35o 4i 18 5433 5476 55i8 556i 56o3J5646 4i *9 0392 o435 0477 o520 o562io6o4 4<) *9 568 9 5 7 3i 5 77 4 58i6 5859 5902 4o 20 io.o5o647 0689 0732 0774 081610859 3o 20 10.065944 5 9 8 7 6029 6072 6n5 6157 39 21 0901)0944 0986 1028 107111113 38 21 6200 6242 6285 6328 637o64i3 38 22 1156:1198 1240 1283 i325li368 37 22 6455 6498 654 1 6583 66266668 37 23 i4io]i452 1495 i53 7 1580I1622 36 23 6711 6 7 54 6796 683 9 6881 6924 36 34) i665i 1707 1749 1792 1834I1877 35 ^4 6967 7009 7052 7094 7137 7180 35 25 1919)1961 2004 2046 2089 2l3l 34 25 7222 7265 73o8 735o 7393h435 34 s6 2173 22l6|2258 23oi 23432386 33 26 7478 7521 7 563 7606 7649 7691 33 27 9. A 38 2470 25i3 2555 259812640 32 27 77 34 7776 7819 7862 79047947 32 28 2682 2725 2767 2810 2852 2895 3i 28 7990 8o32 8075 8117 81608203 3i 29 2937 297913022 3o64 3107 3149 3o 29 8245 8288 833i 8373 84i6j84S8 3o 3c 10 053192 3234 3276 3319 336i 34o4 29 3o io.o685oi 8544 8586 8629 8672 8714 29 3i 3446i348 9 353i 35 7 3 36i6 3658 28 3 1 8 7 5 7 8800 8842 8885 8927,8970 28 32 3701 3 7 433 7 86 3828 3870 3913 27 32 9013 9o55 9098 9141 9183 9226 27 33 3955^998 4o4o 4o83 4i25 4168 26 33 9269 931 1 9 354 9 3 97 9439*9482 26 34 4210 U2S2 42 9 5 433 7 438o 4422 2 5 34 9525 9 56 7 9610 9652 96950738 25 35 4465 4507 4549 4592 4634 4677 H 35 9780 9823 9S66 9908 99 5i 9994 24 36 47i9 ! 4762 48o4 4847 4889 4931 23 36 10.070036 0079 0122 0164 0207 025o 23 37 4974|5oi6 5o59 5ioi 5i44 5i86 2 2 37 0292 o335 0378J0420 o463o5o6 22 36 522915271 53i4 5356 53 9 8 544i 5653 56 9 6 21 38 o548 0591 o634 0676 0719 0762 21 3 9 5483 5526 5568 56n 20 3 9 o8o4 0847 0890 0932 0975:1018 20 4o io.o55738 5 7 8ij5823 5865 5908 5950 9 4o 10.071060 no3 u46 1188 I23i 1274 '9 4i 5993 6035,6078 6120 6i63 6205 18 4! i3i6 i359 1402 i445 1487:1530 18 42 6248,62906333 63 7 5 6417 646o l l 4a i5 7 3 i6i5 i658 1701 1743 1786 *Y 43 65o2 6545 6587 663o 6672 6715 16 4 '5 1829 1871 1914 i 9 5 7 1999 2042 16 44 675768006842 6885 6927.6970 1 5 44 2o85 2128 2170 2213 2256J2298 i5 45 7012 7o55 7097 7i3g 7182 7224 1 4 45 234i 2384 2426 2469 a5i2'2554 i4 46 7267|73o9!7352J7394 7437,7479 i3 46 2597 2640 2683 2725 2768 281 1 i3 47 7522^56417607 7649 7692^734 12 47 2853 2896 2939 2981 3o24 3067 12 48 7777,7819178627904 794717989 11 48 3no 3i52 3195 3a38 328o'3323 11 49 8o32|8o74 81 17 8i5 9 82028244 10 49 3366 34o9(345i 3494 353 7 !35 7 9 10 5o 10.0582S7 8329 8372 84i4|8456J8499 9 5o 10.073622 3665 3706 3750 37 9 3 3836 9 5i 854i 8584 8626866 9 8711 8754 8 5 1 3878 3921 3964 4007 4049409a 8 52 879688398881 8924 8966 9009 7 5 2 4i35 4178U220 4263 43o6 4348 7 53 905 1 19094 9 1 36 9179 9221 9264 6 53 4391 44344477 45i9 ! 4562 46o5 6 54 93o6 | 9349'93gi 9434 94769519 5 '-.; 4648 4690J4733 4776 4819U861 5 55 956i 9604 964619689 97329774 4 55 4904 4947 U989 5o32:5o75;on8 4 5C 9817985999029944 9987 ..29 3 56 5i6o 5ao3 5246 5289 533i|5374 3 57 10'. 0G0072 oii4|Oi57|oi99 0242 0284 2 '7 54i7 546o 55o2 5545 5588 563i 2 58 0327 0369 o4l2 o454 0497 0539 1 58 56 7 3 5 7 ir)5 7 59'58o2 5844 588 7 1 5 9 0582J0624J0667I0709 07520794 " 5 9 5930 5973 60 1 5 6o58|6ioi 6 1 44 flO" | 50" 1 40" 1 30" | 20" 1 10" i\ 0" 50" j 40" Degn i Co-tangent of 41 Degrees. Co-tai igent of 4 P Part J l " 2 " 3 " 4 " 5 " 6 " 7 " 8 " 9 " 1 I J 8 13 17 21 25 30 31 38 P < 1" ) 13 1" 17 r>" 6 ^1 8( ' 7" 8" J 1 30 31 : t" 3 T4 L OGAR1THMIC JSlNES. Sine of 50 Degrees. 2 Sine of 51 Degrees. ~n 0" [ 10V 4272 20" 4~28q 30" | 40" 50" 0" 10" ! 20" | 30" 40" 50'' | I o 9.884254 43074325 4342 5 9 O 9.890503 o52o o537|o554 0571 o588|5g 0690J53 I 436o|4378j4395j44i3|443i 4448 58 I o6o5 0622 0639 o656 0673 2 4466 4433 4501 45i9 4536 4554 5 7 2 0707 0724 0741 0758 0775 0792 57 3 45 7 2 4589460714625 4642 4660 56 3 0809 0826 o843 0860 0877 089/1 56 4 4677 4695 47i3j473o 4748 4766 55 4 09 1 1 0928 0945 0962 0979 0996 55 5 4783 4Soi!43iS'4S36 4854 48 7 i 54 5 ioi3 io3o io47|io64 1081 1098 54 6 4889 4906J49244942 5oi2 5o3oi5o47 4959 4977 53 6 1 1 15 Il32 1149 1166 n83 1200 53 7 4994 5o65 5082 52 7 1217 1234 I25l 1268 1285 i3o2 52 8 5iooj5n8 5i35 5i53l5i7o 5i88 5i 8 1319 i336 i353 1370 1387 i4o4 5i 9 52o5 5223,5241 5258 5276^293 5o 9 1421 i438 i455 1472 i48 9 i5o6 5o 10 9.8853ii 53285346 5364 538i 5399149 55o448 10 5.891523 1 54o i556 i5 7 3 1590 1607 49 11 54i6 5434:545i 5469 5486 1 1 1624 1641 i658 i6 7 5 1692 1709 48 12 5522 5539,5*557 55 7 4 5592 5609 47 12 1726 1743 1760 1777 1794 1810 47 i3 5627 5644,5662 5679 56 97 5 7 i4 46 i3 1827 1844 1861 1878 1895 1912 46 i4 5732 5749 5767 5 7 84 58o2 5819 45 i4 1929 1946 1963 1980 1996 20l3 45 i5 583 7 5855^872 5890 5907 5925 44 1 5 2o3o 2047 2064 2081 2098 2Il5 44 16 5942 5960 5977 5995 6012 6o3oJ43 16 2l32 2149 2i65 2182 2199 2216 43 17 6047 6o65 6082 6099 6117 6i34 42 17 2233 225o 2267 2284 23oo 2317 42 18 6i52 6169 6187 6204 6222 6239 4i 18 2334 235i 2368 2385 2402 2419 4i x 9 6257 6274 6292 6309 6327 6344 4o J 9 2435 2452 2469 2486 25o3 2520 4o 20 9.886362 6379 6396,6414 643 1 6449 39 20 g. 892536 2553 2570 2587 2604 2621 39 21 6466 648465oi 6519 6536 6554 38 21 2638 2654 2671 2688 2705 2722 38 22 65 7 i 6588 6606 6623 664i 6658 37 22 2 7 3 9 2 7 55 2772 2789 2806 2823 1 23 6676 66936710 6728 6 7 45 6 7 63 36 23 2839 2856 2873 2890 2907 2 9 24 36 24 6780 67986815 6832 685o 6867 35 24 2940 2957 2974 2991 3oo8 3o24 35 25 6885 6902 6919 6937 6 9 54 6972 34 25 3o4i 3o58 3075 3092 3io8 3i25 34 26 6989 7006 7024 7041 7o5 9 7076 33 26 3i4s 3i 59 3i 7 6 3192 3209 3226 33 27 7093 71 1 1. 7 1 28 7U6 7163 7180 32 27 3243 3259 3276 3293 33io 3327 32 ! 28 7198 7215 7232 725o 7267 7285 3i 28 3343 336o 3377 3394 34io 3427 3i 29 7302 73197337 7354 7371 7 38 9 3o 29 3444 346i 3477 3494 35n 3528 3o 3o 9.887406 7423,7441 7458 7475 7493 29 3o 9.893544 356i 35 7 8 35 9 5 36n 3628 29 3i 75io 7528 J545 7562 758o 7 5 97 28 3i 3645 3662 36 7 8 3695 3712 3728 28 32 7614 7632 7649 7666 7684 7701 27 32 3 7 45 3762 3 779 3 79 5 38i2 3829 27 33 7718 77367753 7770 7787 7 8o5 26 33 3846 3862 38 79 38 9 6 3912 3929 26 34 7822 7839 7857 7874 7891 7909 25 34 3946 3 9 63 3 979 3996 4oi3 4029 25 35 7926 7943 7961 7978 7 99 5 8012I24 35 4o46 4o63 4079 4096 4n3 4i3o 24 36 8o3o 8047 8o64 8082 80998116J23 36 4146 4i63 4i8o 4196 4213 4230 23 37 8i34 8i5i 8i68,8i85 8203:8220 22 37 4246 4263 4280 4296 43i3 433o 22 38 8237 825482728289 83o6 8324 2i 38 4346 4363 438o 43 9 6 44i3 443o 21 3o 834i 8358 83 7 5j83 9 3 84io 8427:20 39 4446 4463 448o 4496 45i3 453o 20 4o 9.888444 846284798496 85i3853i l 9 4o 9.894546 4563 458o 45 9 6 46i3 4629 19 4i 8548 8565'8582|86oo 86i 7 8634 18 4i 4646 4663 4679 4696 47i3 4729 l8 42 865i 866986868703 8720 8737 17 42 4746 4763 4779 4796 4812 4829 17 43 8 7 55 8772 8789 8806 88248841 16 43 4846 4862 4879 4896 4912 4929 16 44 8858 8875 8892 8910 8927,8944 i5 44 4945 4962 4979 4995 5oi2 5028 i5 45 8961 8978 8996 9013 9o3o 9047 i4 45 5o45 5o62 5o 7 8 5095 5in 5i28 i4' 46 9064 9082 9099 9116 9i33 9i5o i3 46 5i45 5i6i 5i 7 8 5194 5211 5227 i3 47 9168 9185 9202 9219 9236 9253 12 47 5244 5261 5277 5294 53io 5327 12 48 9271 92889305 9322 9339 9356 11 48 5343 536o 53 77 53 9 3 54io 5426 11 49 93 7 4 9391 9408 9 425 94429459 10 49 5443 5459 5476 5493 5509 5526 10 5o 9.889477 9494 g5i 1 9528 9545 9562 9 5o 9.895542 555 9 55 7 5 5592 56o8 5625 9 5i 9 5 79 9597 9614 9631 9648 9665 8 5i 564i 5658 5675 5691 5 7 o8 5 7 24 8 52 9682 969997169734 975 1 9768 7 52 5 7 4i 5 7 5 7 5 77 4 5790 5807 5823 7 53 97 85 9802 gSig'gSSe 9853 9871 6 53 584o 5856 58 7 3 588 9 5906 5922 6 54 9888 9905 9922^9939 9956 9973 5 54 5939 5 9 55 5972 5 9 88 6oo5 6021 5 55 9990 . . .7 . .25 . .42 . .59 1 . .76 4 55 6o38 6o54 6071 6087 6io4 6120 4 56 9.890093 0110 0127 oi44|Oi6i 0178 3 56 6137 61 53 6170 6186 6203 6219 3 57 019b 02I2'023o 0247 0264 028l 2 57 6236:6252 6269 6285 63o2 63i8 2 5S 0298 o3i5 o332 o349 o366 o383 1 58 6335 635i 6368 6384 64oo 6417 1 Jl o4oo o4i7,o434 o45i o468 o486 5 9 6433 645oj6466 6483 6499 65i6 CO" 50" | 40" | 30" 20" 1 10" S 60" | 50" J 40" 30" 20" | 10" Co-sine of 39 Degrees. Co-sine of 38 Degrees. v p < 1" 2" 3" 4" 5" 6" 7" 8" 9" r ' Id,t 2 3 5 7 9 10 12 14 16 P. A I" 2" 3" 4" 5" 6" 7" 8" 9" lart 2 3 5 7 8 10 12 13 15 LOGAKITHMIC I' A N U E N T 3. 75 h Tangent of 50 Degrees. S Tangent of 51 Degrees 5 0" 10" 30" 38" 40" 1 50" 0" 10" 20" f 30" 40" 50" i) 10.076186 6229 6272 63i5 6358|64oo 5c; 10.091631 1674 1717 1760 i8o3 1 846 5 9 i 6443 6486 6529 65 7 i 66i4665 7 58 I 1889 1932 1975 2018 2061 2Io4 58 2 6700 6742 6 7 85 7828 6871 6913 5 7 2 2147 2191 2234 2277 232ol2363 5 7 3 6 9 56 6999 7042 7085 7127 7170 56 3 2406 2449 2492 2535 2578 26d 56 4 7213 7256 7298 734i 7384 7427 55 4 2664 2707 275o 2793 2837 28SO 55 5 7470 75i2 7 555 7 5 9 8 7641 7684 54 5 2923 2966 3009 3o52 3095 3i38 54 6 7726 7769 7812 7 855 7897 794o 53 6 3i8i 3224 3267 33io 3354 3397 53 7 79 83 8026 8069 8m 8i54 8197 5a 7 344o 3483 3526 3569 36i2 3655 52 8 8240 8283 8325 8368 84n 8454 5i 8 3698 3 7 4i 3 7 84 3828 38 7 i 3914 5i 9 8497J8539 8582 8625 8668 8711 5o 9 3957 4ooo 4o43 4o86 4129 4172 5o IO 10.078753J8796 883 9 8882 8925 8967 4o 10 10.094215 4259 4302 4345 4388 443 1 49 ii 9010 9o53 9096 9 i3 9 9181 9224 48 1 1 4474 45i 7 456o 46o3 4647 4690 48 12 9267 93io 9 353 9396 9438 948i 47 12 4733 4776 48i 9 4862 4905 4948 47 i3 9524 9 56 7 9610 9652 9695 9738 46 1 3 4992 5o35 5078 5l2I 5i64 5207 46 i4 9781 9824 9867 9909 99 5 2 999 5 45 1 4 525o 5293 5337 538o 5423 5466 45 i5 io.o8oo38 0081 0124 016C 0209 0252 44 1 5 5509 555 2 55 9 5 S638 568 2 5725 44| 16 0295 o338 o38i o423 o466 0509 43 [6 5768 58n 5854 58 97 5940 5 9 84 43 '7 o552 o5g5 o638 0G80 0723 0766 42 17 6027 6070 6n3 6i56 6199 6242 42 18 0809 o852 0895 o 9 3 7 0980 I023 ii 18 6286 6329 63 7 2 64i5 6458 65oi 4i l 9 1066 1 1 09 Il52 1 195 1237 1280 4o J 9 6544 6588 663i 6674 6717 6760 4o 20 io.o8i323 i366 1409 l452 i494 i53 7 39 20 10.096803 6847 6890 6933 6976 7019 3 9 21 i58o 1623 1666 I709 1752 i 79 4 38 21 7062 7106 7149 7192 7235 7278 38 22 1837 1880 1923 I966 2009 2o52 3? 2 2 7321 7 365 7408 745 1 7494 7 53 7 37 23 2094 2137 2180 2223 2266 2309 36 23 758o 7624 7667 7710 77 53 7796 36 24 2352 2395 2437 248o 2523 2566 35 2 4 7840 7883 7926 7969 8012 8o56 35 25 2609 2652 2695 2738 2780 2823 34 25 8099 8142 8i85 8228 8271 83i5 34 26 2866 2909 2952 2995 3o38 3o8i 33 26 8358 84oi 8444 848 7 853i 85 7 4 33 27 3i23 3i66 3209 3252 32 9 5 3338 32 27 8617 8660 8703 S747 8790 8833 3a 28 338i 3424 3467 3509 3552 3595 3i 28 8876 8919 8 9 63 9006 904919092 3i 29 3638 368i 3724 3767 38io 3853 3o 29 9i36 9179 9222 9265 93089352 3o 3o 10-083896 3 9 38 3981 4024 4067 4no 20 3o 10.099395 9438 948i 9524 9568 961 1 29 3i 4i53 4196 4239 4282 43 2 5 436 7 28 3i 9 654 9697 9741 9784 982719870 28 32 44io 4453 4496 4539 4582 4625 27 32 99 i3 99 5 7 .... ..43 ..86 . i3o 27 33 4668 471 1 47 5 4 4797 483 9 4882 26 33 10. 100173 0216 0259 o3o3 o346 0389 26 34 4925 4968 5oi 1 5o54 5o 97 5i4o 2 5 34 o432 0476 0519 o562 o6o5 0649 25 35 5i83 5226 5269 53i2 5355 53 97 24 35 0692 0735 0778 0822 o865 0908 24 36 544o 54835526 5569 56i2 5655 2". 36 0951 0995 io38 1081 1124 1 168 23 3 7 5698 574i[5784 5827 58 7 o 5913 22 37 I2II 1254 1297 i34i i384 1427 22 38 5g56j5999|6o4i 6084 6127 6170 21 38 l470 i5i4 i55 7 1600 i643 1687 21 3 9 6ai3 6206 6299 6342 6385 6428 20 39 I73o i 77 3 1817 i860 1903 1946 20 4o io.o8647i'65i4 6557 6600 6643 6686 '9 4o 10. 101990 2o33 2076 2119 2i63 2206 '9 4i 6729 6772 68i5 685 7 6900 6943 18 4i 2249 2293 2336 2379 2422 2466 18 42 698617029 7072 71 15 7 i58 7201 17 42 2509 2552 2596 2639 2682 2725 17 43 724417287 7330 7 3 7 3 7416 7 45 9 1 6 43 2769 28122855 2899 a 9 4a 2985 16 44 7502J7545 h588 763i 7674 77 J 7 i5 44 3029 3072 3i i5 3i58 3202 3245 i5 45 7760 7803 7846 7889 79327975 i4 45 3288 33323375 34i8 3462 35o5 i4 4G 80188061 8104 8i47 8190 8232 i3 46 3548 35 9 2 3635 36 7 8 3732|3765 i3 47 82 7 583i8836i 8404 84478490 12 47 38o8|385i 38 9 5 3 9 38 3981 Uo25!l2 4* 8533 8576 8619 8662 87058748 11 48 4o68 4i 1 1 |4i 55 4198 4241 4285,11 49 8791 88348877 8920 8963 9006 10 4 9 43284371 44i5 4458 45oij4545 10 5o 10.089049 9092 91.35 9178 9221 9264 9 5o io.io4588l463i 46 7 5 4718 47614805 1 5i 93o7!935o'9393 9436 9479 9522 8 5i 48484891 5io8J5i52 4935 4978l5o2i'5o65 52 9565 9608,9651 9694 97 3 7 9780 7 52 5i 9 5 5o38 5282 532 5 7 53 9823 9866' 9 909 99 52 999 5 ..3 9 6 53 5368 54i2 5455 5498 5542 5585 6 54 10.090082 oi25[oi68|o2i 1 0254 0297 5 54 56a8 5672 5 7 i5 5 7 5 5 8 02 5845 5 55 o34o o383 0426 0469 o5i2 o555 4 55 588 9 5932 5975 6019 61362 6106 4 56 , o5 9 8 0641 0684 0727 0770 081 1 3 56 6149 6 192J6236 6279.6322 6366 3 5 7 o856 08990942 0985 1028 1071 2 5? 6409 6453'6496;6539 6583'6626 2 5M 1 1 1 4 1 1 57 1200 1243 1286 i32 9 . 58 .6669 67i3'6756:68oo6843!6886 1 5 9 1372 i4i6 1459 i5o2 i545 1 588 5 c; 6930 6973 7017J7060J7103 7147 60" J 50" | 40" w JO" KK 60" | 50" | 40" | 30" | 'JO" | 10" 4 3 Co-tangent of 39 Degrees. Co-tangent of 38 Degrees. P L Part* l " 2 " 3 " 4 " 5 " (i " 7 " *' !) " P } 4 9 13 17 21 20 30 34 39 ' ( 1" o" 3" 4" 5" 0" 7" 8" 9" l!lrt } 4 9 13 17 22 20 30 35 9 7Q L OGARITHMIC 5 I N E S. a Sine of 52 Degrees. a s Sine of 53 Degrees. mmvt 0" 10" 20" 30" 40" 50" 0" 10" 20" 30" 40" 50" o 9.896532 6549 6565 658i 65 9 8 66l4 5 9 9.902349 2364 238o 2396 24l2 2428 5 9 I 663i 6647 6664 6680 6697 6 7 i3 58 I 2444 2460 2475 2491 2507 2523 53 2 6729 6 7 46 6762 6779 6 79 5 6812 5? 2 2539 2555 25 7 I 2586 2602 2618 5? 3 6828 6844 6861 6877 6894 6910 56 3 2634 265o 2666 2681 2697 2713 56 4 6926 6943 6959^976 6992 7009 55 4 2729 2745 2761 2776 2792 28o8|55 5 7025 74i 7o58 7074 7090 7107 54 5 2824 2840 2856 2871 2887 2903 54 6 7123 7140 7i56 7172 7189 7205 53 6 2919 2935 2950 2966 2982 2998 53 7 7222 7 238 7254 7271 7287 73o3 52 7 3oi4 3029 3o45 3o6i 3o77 3093 52 8 7320 7 336 73537369 7 385 7402 5i 8 3io8 3 1 24 3i4o 3i56 3i 71 3187 5i 9 7418 7434 745i 7467 7 483 75oo 5o 9 32o3 3219 3235 325o 3266 3282 5o IO 9.897516 7 533 75497565 7582 7 5 9 8 49 10 9.903298 33i3 3329 3345 336i 3377 49 ii 7614 763i 7647 7663 7680 7696 48 11 3392 34o8 3424 344o 3455 347i 48 12 7712 7729 7745,7761 7778 7794 47 12 348 7 35o3 35i8 3534 355o 3566 47 i3 7810 7827 7 843 |7 85 9 7876 7892 46 1 3 358i 3597 36i3 3629 3644 366o 46 i4 7908 7924 794i;79 5 7 7973 7990 45 i4 36 7 6 3691 3707 3723 3 7 3 9 3 7 54 45 i5 8006 8022 80398055 8071 8088 44 i5 3 77 o 3 7 86 38o2 38i 7 3833 3849 44 16 8io4 8i2o8i368i53 8169 8i85 43 16 3864 388o 3896 3912 3927 3943 43 17 8202 8218 8234 825o 8267 8283 42 J 7 3959 3 97 4 3990 4oo6 4021 4037 42 18 8299 83i5 8332 ! 8348 8364 838i 4i 18 4o53 4069 4084 4 1 00 4n6 4i3i 4i *9 83 9 7 84i3 8429'8446 84628478 4o x 9 4i47 4i63 4178 41944210 4225 4o 20 9.898494 85n 8527'8543 855 9 85 7 6 3 9 20 9.904241 4257 4272 42884304 43i9 3 9 21 8592 8608 8624,8641 86578673 38 21 4335 435i 4366 43824398 44i3 38 . 22 8689 8706 8722.8738 8754:8770 37 22 4429 4445 446o 4476 4492 4507 37 23 8787 88o3 88198835 88528868 36 23 4523 4539 4554 4570 4586 4601 36 24 8884 8900 8916^933 89498965 35 H 4617 4632 4648 4664 4679 4695 35 25 8981 8997 9014 9030 9046 9062 34 25 4711 4726 4742 47 5 7 4773 4789 34 26 9078 9095 9111 9127 9i43 9 i5 9 33 26 4804 4820 4836 485i 486 7 4882 33 27 9176 9192 9208 9224 9240 9256 32 27 4898 4914 4929 4945 4960 4976 32 28 9273 9289 93o5 9321 9 33 7 9 354 3i 28 4992 5007 5o23 5o38 5o54 5070 3i 29 9 3 7 o 9 386 9402 9418 9434 945o 3o 29 5o85 5ioi 5u6 5i32 5i48 5i6c 3o 3c 9.899467 9483 9499 95i5 953i'9547 29 3o 9.905179 5i94 52io 5225 5241 5 2 5' 29 3i 9 564 9580 9596 9612 9628 9644 28 3 1 5272 5288 53o3 5319 5334 535o 28 32 9660 9677 9693 9709 9725 97 4i 27 32 5366 538i 5397 54i2 5428 5443 27 33 97 5 7 977 3 9789 9806 9822 9 838 26 33 5459 5474 5490 55o6 552i 5537 26 34 9854 9870 9886 9902 9918 9935 25 34 5552 5568 5583 5599 56i4 563o 25 35 . 99 5i 9967 99839999 ..i5 ..3i 24 35 5645 566i 56 7 6 5692 5708 5723 24 36 9.900047 oofi3 0079 0096 0112 0128 23 36 5 7 3 9 5 7 54 5 77 o 5 7 85 58oi 58i6 23 37 0144 o:6o 0176 0192 0208 0224 22 37 5832 5847 5863 58 7 8 58 9 4 5909 22 38 0240 02 06 0272,0289 o3o5 0321 21 38 5925 5940 5 9 56 5 97 i 5987 6002 21 3 9 0337 o353 o369'o385 o4oi 0417 20 3 9 6018 6o33 6049 6o64 6080 6095 20 4o 9.900433 o449 o465o48ilo497 o5i3 x 9 4o 9.906111 6126 6142 6157 6i 7 3 6188 l 9 4i 0529 o545 o562 0578.0594 0610 18 4i 6204 6219 6235 625o 6265 6281 18 42 0636 0642 065806740690 0706 1? 42 6296 63i2 6327 6343 6358 63 7 4 17 43 0722 0738 0754 0770 0786 0802 16 43 6389 64o5 6420 6436 645 1 6466 16 44 08x8 o834 o85oo866o882 0898 i5 44 6482 6497 65i3 65 2 8 6544 655 9 i5 45 0914 0930 0946 0962 0978 0994 i4 45 65 7 5 6590 66o5 6621 6636 6652 i4' 46 loio 1026 1042 io58 1074 1090 i3 46 6667 6683 6698 6713 6729 6 7 44 i3 47 /I06 1122 n38 n54 1 1 70 1186 12 47 6760 6 77 5 6791 6806 6821 68 3 7 12 48 1202 1218 1234 I25o 1266 1282 11 43 6852 6868 6883 6898 6914 6929 11 49 I298 i3i4 i33o 1 346 i362 i3 7 8 IO 49 6945 6960 6975 6991 7006 7022 10 5o q ^01394 i4io 1426 i442 i458 i474 9 5o 9.907037 7052 7068 7 o83 7099 7114 9 5i 1490 i5o5 i5ai i53 7 r553 1569 8 5i 7129 7i45 7160 7175 7191 7206 3 52 i585 1601 1617 16 1649 i665 7 5 a 7222 7237 7252 7268 7283 7298 7 53 1681 1697 1713 1729 1745 1760 6 53 73i4 7329 7344 7360 7 3 7 5 7 3 9 i 6 54 1776 1792 1808 1824 i84o i856 5 54 7406 7421 7 43 7 7452 7467 7433 5 55 1872 1888 1904 1920 1936 igSi 4 55 7498 75i3 7529 7544 7 55 9 7 5 7 5 4 56 19671 1983 1999 20l5 2o3i 2047 3 56 7 5 9 7605 7621 7636 7651 7667 3 57 2o63 2079 2090 2IIO 2126 2142 2 5 7 7682 7697 77i3 7728,7743 77 5 9 2 58 215812174 2190 2206 2222 2238 1 58 7774 7789 78o5 78207835 7 85i 1 5 9 2253 2269 2285 23oi 2317 2333 5 9 78667881 7896 7912 7927 794a| 60" | 50" 40" 30" 20" 10" d eo" | so' 40" 30" | 20" wj d Co-sine of 37 Degrees. Co-sine of 36 Degrees. j 2 1 p < I" 2" 3" 4" 5" 6'' 7" 8' 9" rarl $ 2 3 5 6 8 10 11 13 15 P t S l " ~" 3 " 4 " 5 " 6 " 7 " 8 " i} " 1 .rart^ 2 3 5 6. 8 9 11 12 14 __ ^^_ ^^ 1 1 Logarithmic Tangents. 77 a Tangent of 52 Degrees. d 5 Tangent of 53 Degrees. 0" | 10" | 20" | 30" 40" | 50" 0" | 10" | 20" 30" | 40" | 60" o 10. 107190 jz'Sl 7277 732c 7364 7407 5y 10. 12288b 2929 2973 3017 3o6i 3io5 5 9 I 745i 749^ 7 53 7 7581 762^ 7668 58 1 3i48 3192 3236 3280 3324 3368 58 2 7711 77 54 7798 7841 7 885 7928 57 2 34" 3455 3499 3543 358 7 363o 57 3 7972 8oi5 8o58 8102 8i45 8189 56 3 36 7 4 3 7 i8 3762 38o6 385o 38 9 3 56 4 82328275 8319 8362 84o6 8449 55 4 3 9 3 7 3981 4o25 4069 4n3 4i5 7 55 5 84938536 8579 8623 8666 8710 54 5 4200 4244 4288 4332 43 7 6 4420 54 6 87538797 884o 8884 8927 8970 53 G 4463 4507 455i 45954639 4683 53 7 9014 9057 9101 9i44 9188 9231 52 7 4727 4770 48i4 48584902 4946 52 8 92759318 g36i 94o5 9448 9492 5i 8 4990 5o34 5o 77 5i2i 5i65 5209 5i 9 9535 9579 9622 9666 9709 97 53 5o 9 5253 5297 534i 5385,5428 5472 5o IO 10. 109796. 9840 9 383 9926 9970 ..i3 49 10 10. I255i6 556o 5 604 5648J5692 5 7 36 4 9 ii 10. 1 10057 0100 oi44 0187 023l 0274 48 11 5780 5823 586 7 5911J5955 5999 48 12 o3i8 o36i o4o5 o443 0492 o535 47 [2 6o43 6087 6i3i 6175 6219 6262 47 i3 o5 79 0622 0666 0709 0752 0796 46 1 3 63o6 635o 63 9 4 6438,6482 6526 46 i4 0839 o883 0926 0970 ioi3 1057 45 .4 6570 6614 6658 6701 6745 6789 45 i5 1 100 ix44 1187 I23l 1274 i3i8 44 1 5 6833 6877 6921 696517009 7o53 44 16 i36i i4o5 i443 1492 i535 i5 79 43 16 7097 7141 7 i85 7229 7273 7 3i6 43 17 1632 1666 1709 1753 1797 i84o 42 7 736o 74o4 7448 7492 7536 758o 42 18 1884 1927 1971 20l4 2o58 2101 4i 18 7624 7668 7712 7756 7800 7844 4i l 9 2i45 2188 2232 2275 2319 2362 4o [ 9 7888 79 3 2 7976j8o20|8o63 8107 4o 20 10. 112406 2449 24932536 258o 2623 39 20 10. I28i5i 8195 82398283:8327 83 7 i 39 21 2667 2711 2754 2798 2841 2885 38 j 1 84i5 8459 85o3 8547 8591 8635 38 22 2928 2972 3oi5 U)')(j 3 1 02 3i46 >1 2 2 8679 8723 8767 8811 8855 8899 3? 23 3i8g 3233 3277 3320 3364 3407 36 23 8 9 43 8987 9o3i 9075 91 19 9163 36 24 345 1 3494 3538 358i 3625 3669 35 24 9207 9251 9295 93399383 9427 35 25 3712 3 7 56 3 799 3843 3886 3930 34 25 9471 9 5i5 9559 9603 9647 9691 34 26 3 97 4 4017 4o6i 4io4 4i48 4191 33 26 97 35 9779 9823 98671991 1 9955 33 2 7 4235 4279 4322 4366 4409 4453 32 2 7 9999 ..43 ..87 . i3i .175 .219 32 23 4496 454o 4584 4627 4671 47i4 3i 28 10. i3o263 0307 o35i 0395 0439 o483 3i 29 4 7 58 4802 4845 483 9 4 9 32 4976 So 29 0527 0571 06 1 5 0659 0703 0747 3o 3o I0.II5020 5o63 5io 7 5i5o 5194 5238 29 3o 10. 130791 o835 0879 0923,0967 IOII 29 3i 5281 5325 5368 54i2 5456 5499 28 3 1 io55 1099 n43 U87 1232 1276 28 32 5543 5536 563o 56 7 4 5 7 i 7 5761 2 7 $2 1 320 1 364 i4o8 i452 1496 1 54o 27 33 58o45848 58 9 2 5935 5 979 6023 26 33 1 584 1628 1672 1716 1760 1804 26 34 6o66|6i 10 6i53 6197 6241 6284 25 34 1 848 1892 1936 1981:2025 2069 25 35 6328,6372 64i5 6459 65o2 6546 24 35 2Il3 2157 2201 2245J2289 2333 24 36 6590 6633|6677 6721 6764 6808 23 ;g 23 77 2421 2465 2509,2554 ' 2 5 9 8 23 3 7 6852 6895,6939 6982 7026 7070 22 3? 2642 2686 2730 2774 2818 2862 22 38 7113 7157 7201 7244 7288 7332 'J I 38 2906I2950 2994 3o39 3o83 3127 21 3 9 7 3 7 5 7419 7463 75o6 755o 7 5 9 4 20 39 3i 71 32i5 3259 33o3 3347 3391 20 4o 10.117637 7681 7725 7768 7812 7 856 '9 4o 10. 133436 348o 3524 35683612 3G56 9 4i 7899 7943j79 8 7 8o3o 8074 8118 18 4 1 3700 3744|3 7 8 9 383338 77 3921 lb 42 8161 8205,8249 8292 8336 838o 17 ki 3 9 65 4009 4o53 4097 '4i42 4i86 17 43 8423 8467851 1 8555 85 9 8 8642 16 43 423o 427443i8 4362;44o6 445i 16 44 8686J87298773 8817 8860 8904 1 5 44 4495 453 9 4583 4627^671 47i5 i5 45 8948,8992 9o35 9079 9123 9166 4 45 4760 48o4l4848 4892 4936 4980 i4 46 92109254 9297 934i 9 385 9429 i3 46 5o25 506951 1 3 51675201 5245 i3 4 7 9472J9516 9560 9603 9647 9691 12 J7 5290 5334 53 7 8 5422,5466 55io 12 43 9735:9778 9822 9866 9909 9953 11 18 5555 5599:5643 56875731 5775 11 49 9997|..4i ..84 .128 .172 .216 10 \ v > 5820 5864 5908 5952,599616041 10 5o 10. 120259 o3o3 0347 o3gi o434 0478 9' >o io.i36o85 6129:6173 6217 6262 63o6 9 5i o522 o565 0609 o653 0697 0740 8 5i 635o 6394 6438 64836527(6571 8 52 0784 0828 0872 0915 0959 ioo3 7 52 66i5 6659J6704 6748 6792:6836 7 53 1047,1091 1 1 34 1 1 78 1222 1266 6 53 6881 692516969 701317057 7102 6 54 i3o9|i353 1 3 97 i44i i484 1 5 2 8 5 54 7146 7190 7234 7279 7323 7367 5 55 1572 if) 1 6 1659 1703 1747 1791 4 55 74n 7455 7500 7544,7588 7 632 4 56 1 835 1878 1922 1966 2010 2o53 3 56 7677 7721)7765 7809J7854 7 S '/ S 3 57 2097J2I4I 2i85 2229 2272 23 1 6 2 57 7942 7986,8031 8075J8119 8i63 2 58 236oi24o4 24482491 2535 2579 1 58 8208 8252 ^296 834i 8385 8429 1 5 9 2623I2667 2710 2754 2798 2842 5 9 8473 85i8|856a 86o6865o 8695 60" 1 BO" 1 40" 1 80" i '20" 10" 1 i. 80" | 60" | 40" | 30" | 20" _ ro ,T " a Co-tangent of 37 Degrees. Co-tangent of 36 Degrees. P Part J *" 2 " 3 " 4 " 5 " 6" 7" H" 9" r. ran ( 4 9 13 17 03 26 31 35 39 P Part. J l " 2 " 8 " 4 " 5 " G " 7 " i.iart.^ 4 g 13 18 00 26 31 35 -10 78 Logarithmic Sines. Sine of 54 Degrees. 1 Sine of 55 Degrees. ! "1 0" 10" | 20" 1 30" | 40" 50" 0" | 10" 20" 30" 40'- 50" 9.907958 7973J7988 80048019 8o34 5 9 9.9i3365|33 79 3394 3409 3423 3438 59 I 8049 8o65 8o8o'8o95'8iii 8126 58 1 3453 3468 34S2 3497 35i2 3527 58 2 8i4i 8i56 817218187:8202 8217 57 2 354i 3556 3571 3585 36oo 36i5 57 3 8233 8248 8263,8279'8294 83og 56 3 363o 3644 365 9 36 7 4 3688 3703 50 4 8324 834o'8355:83 7 o8385 84oi 55 4 3 7 i8 3 7 33 3747 3762 3 777 3 79 i 55 5 84i6 843i 84468462 8477 8492 54 5 38o6 382i 3836 385o 3865 388o|54 6 85o7 85 2 3 8538'8553 8568 8584 53 6 3894 3909 3924 3 9 38 3 9 53 3968 53 7 S599 8614862986448660 86 7 5 52 7 3982 3097 4012 4026 4o4i 4o56 52 8 8690 8 7 o5 8721 87368751 8797881288278842 8766 5i 8 4070 4od5 4ioo 4n4 4129 4i44 5i 9 8781 885 7 5o 9 4i58 4i73 4i88 4202 4217 4232 5o IO 9.908873 8888.890389188933 8 9 49 4 9 10 9.914246 4261 4276 4290 43o5 4320 4 9 ii 8964 8979 8994 9009 9025 9040 48 11 4334 4349 4364 43 7 8 4393 4407 48 12 9o55 9070 9085.9101 91 16 9i3i 47 12 4422 443 7 445 1 4466 448i 4495 47 i3 9146 9161 9176 9192 9207 9222 46 i3 45io 4524 453 9 4554 4568 4583 46 i4 9237 9252 9267 92839298 93i 3 45 i4 45 9 8 4612 4627 464 1 4656 4671 45 i5 9328 9343 9358 , 9 374 l 9389 94o4 44 i5 4685 4700 4714 4729 4744 4758 44 i6 9419 94J4 9449I946419480 9495 43 16 4773 4787 4802 4817 483i 4846 43 17 95io 9525^540 9616 9631 9555 9570 9586 42 17 486o 48 7 5 4890 4904 4919 4933 42 18 9601 9646 9661 9676 4i 18 4948 4962 4977 4992 5oo6 5021 4i J 9 9691 97079722 97379752 9767 4o l 9 5o35 5o5o 5o64 5o 79 5094 5io8 4o 20 9.909782 9797 9812 9827 9843 9858 3 9 20 9 9i5i23 5i3 7 5i52 5i66 5i8i 5196 39 21 9873 98889903 9918 9933 9948 38 21 52IO 5225 5239 5 2 54 5268 5 2 83 38 22 9963 99789994 ...9 ..24 ..3 9 37 22 5297 53i2 5326 534i 5356 5370 37 23 9.910054 0069 0084 0099 on4 0129 36 23 5385 5399 54i4 5428 5443 545 7 36 24 0144 01590175 o25o 0265 0190 0205 0220 35 24 5472 5486 55oi 55i5 553o 5544 35 25 0235 0280 0295 o3.io 34 25 555 9 55 7 3 5588 56o2 56i 7 563i 34 26 o325 o34o o355 0370 o385 o4oo 33 26 5646 566o 5675 568 9 5704 5 7 i8 33 27 o4i5 o43o o446 o46i 0476 0491 32 27 5 7 33 5 7 47 5762 5 77 6 5 79 i 58o5 32 28 o5o6 o52i o536 o55i o566 o58i 3i 28 582o 5834 5849 5863 58 7 8 5892 3i 29 0596 0611 0626 o64i o656 0671 3o 29 5907 5921 5 9 36 5950 5 9 65 5 979 3o 3o 9.910686 0701 0716 o 7 3i 0746 0761 29- 3o 9.915994 6008 6023 6037 6o52 6066 29 3i 0776 0791 0806 0821 o836o85i 28 3i 6081 6095 6109 6124 6i38 6i53 28 32 0866 08810896 091 1 0926 0941 27 32 6167 6182 6196 6211 6225 6240 2 7 33 0956 0971 0986 1 00 1 1016,1031 26 33 6254 6268 6283 6297 63i2 6326 26 34 1046 1061 1076 1 09 1 1106 1121 25 34 634i 6355 ! 6369 6384 63g8 64i3 25 35 n36 ii5i,ii66 1181 1 196 1211 1286 i3oo 24 35 6427 6442 6456 6470 6485 6499 24 36 1226 I24l;I256 1271 23 36 65i4 6528 6543 6557 6571 6586 23 37 i3i5 i33o'i345 i36o i3 7 5 1390 22 37 6600 66i5 6629 6643 6658 6672 22 38 i4o5 1420 i435 i45o i465 i48o 21 38 6687 670:6715 6730 6 7 44 6 7 5 9 21 3 9 1495 i5ioi525 1 54o i555 1569 20 39 6773 6787 6802 6816 683o 6845 20 4o 9 . 91 1 584 1599 i6i4 1629 i644 1659 l 9 4o 9.916859 6874 68S8 6902 6917 6931 *9 4i 1674 1689 1704 1719 1734 1748 l8 4i fi 9 46 6960 6974 6989 7003 7017 l8 42 i 7 63 1778 1793 1808 1823 W838 17 4a 7032 7046 7060 7 o 7 5 7089 7104 17 43 i853 1868 i883 1897 19121927 16 43 7118 7i32 7147 7161 7 i 7 5 7190 16 44 1942 1957 1972 1987 2002 2017 i5 44 7204 7218 7 233 7247 7261 7276 i5 45 2o3i 2046 2061 2076 2091 2106 i4 45 7290 73o4 7 3i 9 7 333 7347 7 362 i4 46 2121 2i36 2i5o 2i65 21802195 i3 46 7 3 7 6 7 3 9 o 74o5 7419 7433 7448 i3 4 7 2210 2225 224o 2255 2269 2284 12 47 7462 7476 7491 75o5 7 5i 9 7534 12 48 2299 23i4 2329 2 344 23582373 11 48 7548 7 562 7 5 7 6 7 5 9 i 7 6o5 7619 11 49 2388 24o3 24i8 2433 24482462 10 49 7634 76487662 7677 7691 77 5 IO 5o 9.912477 2492 2507 2522 2537 255i 9 5o 9.917719 77 3 4|7748 7762 7777 7791 9 5i 2566 258i'2596 26ll 2625 2640 8 5i 7 8o5 78197834 7848I7862 7877 8 02 2655 2670 2685 27OO 2714,2729 7 52 7891 79057919 79347948 8019 8o33 7962 7 53 2744 2759 2774 2788 28o3 l 28i8 6 53 7976 7991 8oo5 8o48 6 54 2833 28482862 2877 2892 2907 5 54 8062 8076 Sogo'SioSjSngSiSS 5 55 2922 2936 2951 2966 2981 2995 4 55 81478162 8176 8190 8204 8219 4 56 3oio 3o25 3o4o 3o55 3069 3o84 3 56 8233,8247 8261 827682908304 3 5 7 3o 99 3n4 3128 3i43 3i58 3i 7 3 2 57 83i88333 8347 836i'83 7 5 838 9 2 58 3i8 7 3202 3217 3232 3247 3261 1 58 84o4'84i8 8432 8446 8461 8475 1 5 9 3276 3291 60" ] SO'' 33o6 332o 3335 335o 5 9 8489 l 85o3 l 85i7 85328546 856o 40" 1 30" 1 20" 1 10" 60" | 50" | 40" 1 30" 1 20" 10" Co-sinc of 35 Degrees. Co-sine of 34 Degrees. a r. p .< 1" 2" 3" 4" 5" 6" 7" 8" 9" II ) 2 3 5 G 8 9 11 12 14 :; F ' C 1" 2" 3" 4" 5" 6" 7" 8" 9" , tart } 1 3 4 G 7 9 10 12 13 , Logarithmic Tangents. 79 1 s Tangent of 54 Degrees. s Tangent of 55 Degrees. 0" 1 10' 20" 30" 40" | 50" 0" 10" 1 20" 30" | 40" 50" o 10.1387398783 8828 8872 8916J8960 59 10. i54773 4818 4863 4908 4952 4997 59 I 9005 9049 9093 9i38 9182 9226 58 I 5o42 5087 5i32 5i 77 5221 5266 58 2 9270 93i5 9 35 9 94o3 94489492 5 7 2 53u 5356 54oi 5446 5490 5535 5? 3 9536 9580 9625 9669 9713I9758 56 3 558o 5625 5670 5 7 i5 5 7 5 9 58o4 56 4 9802 9846 9891 9935 9979 .'24 55 4 5849 58 94 5939 5984 6029 6073 55 5 10. 1 40068 0112 0157 0201 0245 0290 54 5 6n86i63 6208 6253 6298^343 54 1 6 o334|o378 o42 3 0467 o5n o556 53 6 63886432 6477 6522 6567 6612 53 7 0600 o644 0689 0733 0777:0822 52 7 6657,6702 6747 6791 6836 688i 52 8 0866 0910 0955 0999 io43 1088 5i 8 6926 6971 7016 7061 71 06. 71 5 1 5i 9 Il32 1 1 76 1221 1265 1 309 I 354 5o 9 7 i 9 5 7240 7285 7330 7 3 7 5 7420 5o IO 10. 141398 1442 1487 i53i i5 7 6 1620 49 10 io.i57465 75io 7555 7600 7645 7689 49 ii 1664 1709 i 7 53 1797 1842 1886 48 11 7734 7779 7824 7869 79 i4 79 5 9 48 12 1931 1975 2019 2064 2108 2l52 47 1 a 8004 804980948139 8i84 8229 47 i3 2197 2241 2286 233o 2374 24l9 46 i3 8273 83i8836384o8 8453 8498 46 M 2463 25o8 2552 2596 2641 2685 45 1 4 8543 8588 8633 8678 8723 8768 45 i5 2730 2774 2818 2863 2907 2952 44 i5 88i3 885818903 8 9 48 8 99 3 9o38 44 16 2996 3o4i 3o85 3i2 9 3i74j32i8 43 16 9083 9128 9173 9218 9263 9 3o 7 43 17 3263 3307 335i 3396 344o 3485 4^ '7 9352 9 3 97 9442 9 48 7 9532 9 5 77 42 i3 3529 35 7 4 36i8 3662 3707 3751 4i 18 9622 9667 9712 97 5 7 9802 9847 4i J 9 3 79 6 384o 3885 3 9 2 9 3974|4oi8 4o l 9 9892 99 3 7 9982 ..27 ..72 .117 4o 20 10.144062 4107 4i5i 4196 4240 4285 3 9 20 10. 1 60162 0207 0252 0297 0342 0387 39 21 4329 437444i8 4463 4507 455i 38 2] o432 0477 0522 0567 0612 o65 7 38 22 45 9 6 464o4685 4729 4774 4818 37 22 0703 0748 79 3 o838 o883 0928 3 7 23 4863 4907 U952 4996 5o4i 5o85 30 23 o 97 3 1018 io63 1 108 n53 1 198 36 24 5i3o 5174 5219 5263 53o8 5352 35 84 1243 1288 i333 1378 l423 i468 35 25 53 97 544i 5486 553o 55 7 5 5619 34 25 i5i3 i558 i6o3 1 648 1693 i 7 3 9 34 26 5664 57o85 7 53 5 797 5842 5886 33 26 1784 1829 i8 7 4 1919 1964 2009 33 27 5931 5975 6020 6064 6109 6i53 3a -7 ao54 2099 2i44 2189 2234 2279 32 28 6198 6242 6287 633i 6376I6420 3i 28 2325 2370 24l5 2460 25o5 2 55o 3i 29 6465 6509 6554 6598 6643 6687 3o 29 2595 2 64o'2685 2730 2775 2821 3o 3o 10.146732 6777 6821 6866 6910 6955 29 3o 10.162866 291 1 2 9 56 3ooi 3o46 3091 29 3i 6999 7044 7088 7i33 7 J 77 7222 28 3 1 3i36 3i8i 3227 3272 33i7 3362 28 32 7267 73n 7356 7400 7445 7 48 9 27 3a 3407 3452 3497 3542 3588 3633 27 33 7534 7 5 7 8 7623 7668 7712 77 5 7 26 33 36 7 8 3 7 23 3 7 68 38i3 3858 3go4 26 34 7801 7846 7890 79 35 7980 8024 25 34 3949 3 99 4 4o3g 4o84 4129 4i74 25 35 80698113I8158 8203 8247 8292124 35 4220 4265 43io 4355 44oo 4445 24 36 8336838i 8425 8470 85i5 8559 23 36 4491 4536 458i 4626 4671 471623 37 860486488693 8 7 38 8782 8827 22 37 4762 4807 4852 4897 4942 498822 38 8871 89168961 9005 9o5o 9095 21 38 5o33 5o 7 8 5i23 5i68 52i3 5 2 5 9 2i 3 9 9139 9i84!9228:9273 9 3i8 9 362 20 3 9 53o4 5349 53 9 4 5439 5485 553o:2o 4o io. i494o7'9452'9496 9541 9 585 9630 J 9 4o 10. 165575 562o|5666 D71 1 5 7 56 58oi 19 4i 9 G 75,97 I 9 I 97 6 4 9809 9 853 9898 18 4i 5846 5892 5937 5982 6027 607318 42 9943 9987J . .32 ..76 . 121 . 166 17 42 6118 61636208 6253 6299 6344 17 6Ci5i6 43 IO. 1502IO 0255 o3oo 0344 0389 o434 16 43 638 9 6434 648o|6525 6570 44 0478 o523Jo568 0612 0657 0702 1 5 44 6661 6706,6751 6796 6842 688 7 'i5 45 0746 0791 o836 0880J0925 0970 14 45 6932 6977J7023 7068 71 13 7i58|i4 46 1014 1059,1104 114911193 12J8 i3 46 7204^249 7294^340 7 335 743o' 1 3 47 1283 i32 7 'i372 1 4 r 7 i46i i5o6ii2 47 7473 7521 j566 761 1 7657 77; 52 262426692713 2 7 58 28o3 2848 7 52 8835 8880 8925 897119016 9061 7 53 2892 2937'2982 3027 3071 3n6 6 53 9107 9152 91979243 9288.9333 6 54 3i6i 32o6|325o 32 9 5 334o 3385 5 54 9 3 79 9424 9469^5 1 595609605 5 55 343o 3474,35i9 3564 3609 3653 4 55 965i 9696I9742I9787I9832 9878 4 56 , 369837433788 3832 38 77 392a 3 56 9923 9968 . . i.i . . 59 . io5 . i5o 10. 170195I0241 02^6 o33i'o377 0422 3 57 3967 4oi2'4o56 4ioi 4i46 4191 2 57 58 4:'-36 428o4325 4370 44i5 446o 1 r >s o468o5i3:o558 0604106490695 1 5 9 45o4 4549)4594 463 9 4684 .7- s c 59 0740J0785 o83i 0876J0922 1*967 GO" 50" J 40" 30" 20" 10" 00" | 50" | 40" 1 30" | 20" J 10" *\ Co-tangent of 35 Degrees. Co-tangent of 31 Degrees. P Part* l " 2 " 3 " 4 " : '" fi " 7 " 8 " ! " 1 P I 4 9 13 18 22 27 31 36 40 ' ." '" s ' ; '" r-la " ( 5 9 14 18 23 27 32 37 11 Tangent of 57 Degrees. 10. 187483 7529 7759 7805 80368082 83i38359 85 9 o|8636 8866.8913 914319190 94209467, 96989744 9975 . .21 10. 190252 0298J 0529I0576 08070853 1084 1 i3o i362 i4o8 1639J1686 191 7 7963! 2195 7 5 7 5 7 85i 30" 40" 7621 17667-7713 898 7944.7990 2473 2751 IO. I93029 3307 3585 3863 4i4i 4420 4698 4977 5255 5534 10. 1958 1 3 6091 6370 6649 6928 2241' 2519 2797 3075 3353 363i 3909 4i88 4466 4 7 45 5o23 53o2 558o 585 9 6i38 64i7 6696 6975 8i28 8i74!822o'82'7 84o5 845i {84978543 J8682 8728 8774 8&20 8959 9005 905 1 9097 9236 9282 ! 9328 9374 95i3 9559I9605 9651 9790 9836,9882 9929 . .67 . 1 1 3 L160J .206 o344 0391 0437,0483 0622 0668 0714 0760 0899 o945|o992|io38 1177 12231269 i3i5 i454 i5oi ji 547|i593 1732 177811824,1871 2010 2o56 2102^149 2287(2334 238o ( 24a6 2565 2612 2658 2704 2843 289012936 2982 3i2i 3i68J32i4,326o 3399 3446j3492 , 3538 3678 3724|377o'38i7 7208 7254 7 533 7 8i3 8092 7487 7766 8o45 8325J837I 10.198604 865i 88848930 9164 9210 94439490 97239770 10.200003 oo5o 0283 o33o o563|O0io 08430890 1 1 23ji 1 70 io.2oi4o4|i45o 1684 i73i 1964 201 1 2245^2292 2526 2572 3 9 56 4234 45i3 4791 5070 5348 5627 5906 6184 6463 6742 7021 7301 7 58o 4002 42&I 455 9 483 7 5u6 53 9 5 56 7 3 5 9 52 623i 4049U095 432 7 ;43 7 3 46o5]4652 4884i493o 5i62 5209 544i5487 5720J5766 5999 6o45 62776324 65io6556,60o3 27 678 9 ! 6335|6882 26 7068 71 14,7161 25 7347 73947440 24 7626:7673 7719 23 7859I790GJ79527999 8i38'8i85 82328278 2: 84i8 8465a5n 8558 20 8697 8 7 44 %9i|8837 8977 9024 9070 91 17 9257 93o3 9350 9397 1 9537:9583 98169863 0096 oi43 0376 o423 0656^703 0937,0983 1217 1263 1497 1 544 1777 i 8 24 ao58aio5 7 9630 9676 16 5 9910 9956 1 0190 0236 1 0470 o5i6 1 0750 0796^ io3o 1077 i3io 1 357 1 59 1 1637 1871 1918 201 2198 a338 2385 2432 2479 26i9'a666 | 27i3 3759 2806I2853I2900 2947 2993 3o4o 3iSi 3227 3a74|33ai 3461 35oS,3555 36oa 3 7 42 3789 3836 3883 3087 3i34 3368,34 1 5 3649 3696 3930^977 4oa3 407041 17 4 1 64 P. Part Co-tangent of :l*i Degrees. 3" r 5" 6" 7' h' v: I" 1!) 23 28 33. 37 42 32 L OG A III riiMic Sini :s. >, 1 Sine of 58 Degrees. B Sine of 59 Degrees. I 0" 10" 1 20" j 30" | 40" 1 50" 0" 10" 20" 30" 40" 50" 1 o 9.928420 8434 8447 846o,8473 8486 5 9 O 9.933066 3078 3091 3io4 3n6 3129 5 9 1 I 8499 85i3 8526 853g 855 2 8565 58 I 3i4i 3i54 3167 3179 3192 32o5 58 2 85 7 8 8591 86o5 86i8863i 8644 5 7 2 3217 323o 3243 3 2 55 3268 3280 57 1 3 865 7 8670 8683!86 9 6 8710 8723 56 3 3293 33o6 33i8 333i 3344 3356 56 1 4 8 7 36 8749'8762 ; 8775 8788 8801 55 4 336 9 338i 33 9 4 3407 3419 3432 55 5 88i5 8828884i!8854 886 7 888ol54 5 3445 345 7 347o 3482 3495 35o8 54 6 8893 89o6;89i9;8 9 33;8946|8959!53 6 352o 3533 3545 3558 3571 3583 53 7 8972 8985,899819011 9024 9o37|52 7 35 9 6 36o8 362i 3633 3646 365 9 52 8 9o5o 9063^0771909019103 191 1 6, 5 1 8 36 7 i 3684 36 9 6 3 7 o 9 3722 3734 5i 9 9129 9142 9i55 9168 91 81 9194 5o 9 3 7 4 7 3 7 5 9 3772 3 7 84 3 797 38io 5o IO 9.929207 922019233,9247 9260 9273 '49 10 9.933822 3835 3847 386o 3872 3885 49 ii 9286 9299J9312 9325 9 338J935i 48 11 38 9 8 3910 3923 3 9 35 3 9 48 3960 48 12 9364 9377*9390 9403^416 9429^7 12 3973 3 9 85 3998 4on 4o23 4o36 47 i3 9442 9455|9468 9482 9495 95o8 46 i3 4o48 4o6i 4073 4o86 4098 4in 46 i4 9521 9534 9547 9560 ,9573 9 586 45 i4 4l23 4i36 4i48 4i6i 4174 4i86 45 i5 9 5 99 9612^625 9638 9 65i 9664 44 i5 4199 4211 4224 4236 4249 4261 44 16 9677 9690 9703 9716,9729 9742 43 16 4274 4286 4299 43n 4324 4336 43 17 97 55 97689781 97949807 9820 42 17 4349 436i 43 7 4 4386 4399 44" 42 18 9833 98469859 98729885 9898 4i 18 4424 4436 4449 446i 4474 4486 4i x 9 9911 99 2 499 3 7 9950 9963 9976 4o J 9 4499 45n 4524 4536 4549 456i 4o 20 9.929989 ...2 ..i5 ..2.8 ..41 ..54 3 9 20 9.934574 4586 4599 46 1 1 4624 4636 39 21 9.930067 00800093 0106 0119 Ol32 38 21 4649 466i 46 7 4 4686 4699 47" 38 22 oi45 oi58 0171 0184 0197 0210 3? 22 4723 4736 4748 4761 4773 4786 37 23 0223 0236 0249 0262 0274 0287 36 23 4798 48n 4823 4836 4848 486i 36 24 o3oo o3i3 0326 0339 o352 o365 35 24 48 7 3 4885 4898 4910 4923 4935 35 25 ' 0378 03910404 0417 o43o o443 34 25 4g48 4960 4973 4985 4997 5oio 34 26 o456 0469 0482 0495 0507 0520 33 26 5022 5o35 5 047 5o6o 5072 5o84 33 27 o533 o546o559 0572 o585o5 9 8 32 27 5097 5109 5l22 5 1 34 5i47 5i59 32 28 0611 0624 0637 o65o 0663,0675 3i 28 5171 5i84 5196 5209 5221 5234 3i 29 0688 0701 0714,0727 0740 0753 3o 29 5246 5 2 58 5271 5283 5296 53o8 3o 3o 9.930766 0779 0792 080450817^830 29 3o 9.935320 5333 5345 5358 5370 5382 29 3i o843 o856 0869 08820895J090828 3i 5395 5407 5420 5432 5444 545 7 28 32 0921 0933 0946 0959 0972,0985 27 32 5469 5482 5494 55o6 55 19 553i 27 33 0998 ion 1024 io36 104911062126 33 5543 5556 5568 558i 55 9 3 56o5 26 34 1075 1088 IIOI 1 1 14 1127 1139 25 34 56i8 563o 5642 5655 566 7 56 79 25 35 ll52 n65 1178 1191 1204 121 7 24 35 5692 5704 5 7 i 7 5729 5 7 4i 5 7 54 24 36 1229 1242 1255 1268 1281 1294 23 36 . 5 7 66 5 77 8 5 79 i 58o3 58i5 5828 23 37 i3o6 1319 i332 1 345 i358 1371 22 37 584o 5852 5865 58 77 588 9 5902 22 38 i383 1396 1409 1422 i435 i448 21 38 5914 5926 5939 5951 5 9 63 5 97 6 21 3 9 i46o i473'i486 1499 i5i2 i525 20 3 9 5 9 88 6000 6oi3 6025 6037 6o5o 20 4o f, .931537 i55o i563 1576 1589,1601 J 9 4o 9.936062 6074 6087 6099 6111 6124 19 4i 1614 1627 i64o i653 16661678 18 4i 6i36 6i48 6161 6173 6i85 6198 x8 42 1691 1704 1717 1730 1742 1755 '7 42 6210 6222 6 2 34 6247 6259 6271 17 43 1768 1781 1794 1806 1819 i832 16 43 6284 6296 63o8 6320 6333 6345 16 44 1845 1857 1870 i883 1896 1909 i5 44 6357 6370 6382 6 394 64o6 6419 i5 45 1921 1934 1947 i960 1972 1.985 i4 45 643 1 6443 6456 6468 648o 6492 i4 46 1998 2011 2024 2o36 2049 2062 i3 46 65o5 65i 7 6529 6542 6554 6566 1 3 47 2075 2087 2100 2Il3 2126 2i38 12 47 6578 6591 66o3 66i5 6627 664o 12 48 2l5l 2164 2177 2189 2202 22l5 11 43 66526664 6676 6689 6701 6713 1 1 49 2228 224o'2253 2266 2279 2291 10 49 67256738 6750 6762 6774 6787 IO 5o 9.932304 23 1 7 2329^342 2355 2368 9 5o 9.936799 6811 6823 6836 6848 6860 9 5i 238o 2 3 9 3 2406 2419 243i 2444 8 5i 68726884 6897 6909 6921 69.33 8 52 245 7 2469 l 2482!24 9 5 25o8 2520 7 52 6 9 46 6 9 58 6970 6982 6 99 4 7007 7 53 2533 2546 r 2558 257i 2584'a597 6 53 7019 7o3i 7o43 7 o56 7068J7080 6 54 2609 2622 2635 2647 2660 2G73 5 54 7092 7104 7117 7129 7i4il7i53 5 55 2685 2698J2711 2724 2736 2749 4 55 716517178 7190 7202 7214 7226 4 56 2762 2774 2787 2800 2812 282S 3 56 7238 7251 7263 7 2 7 5 72877299 3 5? 2838 28502863287628882901 2 5? 7312 7324 7 336 7 348 7360,7372 2 53 2914 2926 2939 2952 2964 2977 1 58 7 385 7 3 97 7409 7421 7433 7 446 1 5 9 2990 3oo2 3oi5 3o28J3o4o 3o53 5 9 7458 7470 7482 7494 750617518 GO" 1 50" j 40" | 30" | 20" I 10" .5 60" | 50" j 40" j 30" 1 20" | 10" S3 Co-sine of 3 1 Degrees. Co-sine of 30 Degrees. P. Vnr A 1" 2" 3" 4" 5" 6" 7" 8" 9" rvn [ 1 3 4 5 6 8 9 10 12 pp .Cl" 2" 3" 4" 5" 6" 7" 8" 9" 1. rait j 1 2 4 5 6 7 9 10 11 Logarithmic Tangents. 83 Tangent of 58 Degrees. 40" I 50" Tangent of 59 Degrees. 50" o I a 3 4 5 6 7 8 9 10 ii I '2 1 3 i4 1 5 1 6 7 18 *9 2d 21 2 2 23 ^4 25 26 7 28 29 3o 3i 32 33 34 35 36 37 38 3 9 4o 4i 42 43 44 45 46 47 48 49 5o I*' ! 52 [53 54 55 56 5 7 I 53 l 59 I i 10.2 2042I I 4492 4773 5o54 5336 56i 7 5899 6181 6462 6 7 44 207026 7308 7 5 9 7872 8i54 8437 8719 9001 9284 9566 209849 2IOl32 o4i5 0698 0981 1264 1547 i83o 2Il4 23 97 212681 2964 3248 3532 38i6 4 1 00 4384 4668 4952 5236 2l552I 58o5 6090 63 7 4 6659 6944 7229 75i4 7799 8084 218869 8654 8 9 4o 9225 95i 1 9797 0082 o368 o654 0940 4258 453 9 4820 5ioi 5383 5664 5 9 46 6227 6509 6791 7073 7355 7 63 7 7919 8201 8484 8766 9048 g33i 9614 9896 0179 0462 0745 1028 i3ii 1594 1878 2161 2444 2728 3oi2 3295 3579 3863 4i4? 443 1 47i5 43o4 4586 4867 5i48 543o 571 1 5993 6274 6556 6838 7120 7402 7684 7966 8248 853i 88i3 9095 9 3 7 8 9661 9943 0226 0509 0792 1075 1 358 i64i 1925 08 2492 2775 3009 3343 3626 3910 4194 4478 4762 435 1 4633 4914 5195 477 5 7 58 6o4o 632i 66o3 6885 7167 7449 77 3i 8oi3 8295 85 7 8 8860 9i43 9425 9708 9991 0273 o556 0839 1122 i4o5 1689 197 43 9 8|4445 4679:4726 4961I5008 5242 5289 5524 5570 58o5 585a 6o8 7 '6i34 6368'64i5 665o 6697 6932 6979 7214 7496 7778 8060 7261 7543 7825 "107 83428389 86258672 8907 8954 91909237 9472 9519 4999^047 5284|533i 5568|56i5 5852 5900 61376184 |6422J6469 6706:6754 6991J7039 I7276J7324 7561)7609 178467894 8i3i|8i79 84i7;8464 8702J8750 8987I9035 92739321 9559 9606 98449892 oi3o 0178 o4i6 04 6 3 0702I0749 0988|'io36 9 7 55 ..38 9802 ..85 o32ijo368 o6o3'o65i 08860934 1 1 70 1217 i453 i5oo 1736J1783 2066 2255 23o3 2539 2822 3io6 3i53 320i 3390 36 7 4 3958 4242 4526 48io 5094 53 7 8 5663 5 9 4 7 6232 65i 7 6801 7086 7 3 7 i 7656 7941 8226 85i2 8797 908:; 9368 2586 870 235o 2633 9*7 3437 3721 4oo5 4289 45 7 3 485 7 5i4i 5 3484 27 3768:26 4o52i25 433624 4620:23 4905 22 5426 5710 5995 9654 9701 54 7 3|2o 5758-19 6042 18 6279 6327I17 6564 6612 16 68496896 i5 7134 7181 i4 7419 7466ii3 7704 775iji2 7989 8o36,i 1 82748322I10 85598607 88458892 913019178 9416 9463 99 3 9 02 2 5 o5n 0797 io83 9987 0273 o559 o845 n3i 9749 ..35 0321 0606 0892 1 1 79 9 10 1 1 12 i3 i4 i5 16 17 18 '9 20 21 22 23 2 4 25 26 27 -H 29 3o 3i i< 32 33 34 35 36 37 38 j3 9 1 4o 4i 42 4'! 1 44 45 46 47 148 |49 5o 10 5i 52 53 54 55 56 57 58 5 9 .22122611274 i5i2 i56o 1799 1 846 2o852i33 2372 2658 2945 3232 35i8 38o5 ,224092 4379 4667 4954 524i 5529 58i6 6io4 2419 2706 2993 3279 3566 3853 4:4o 4427 4714 5002 5289 5577 5864 6 1 52 6392.64401 6679167271 .226967' 7255 7543 7832 8120 84o8 8697 9274 9563 229852 23oi4o 7015 73o3 7 5 9 i 7880 8168 8456 8745 9o33 9322 9611 9900 0189 0429J0478 0719 0767 ioo8jio56 1297 1 345 i586i635 1876 1924 2l66!22l4 2455!25o4 232745:2793 3o35j3o83 l322 1608 1894 2181 2467 2754 3o4o 3327 36i4 3901 4i88 4475 4762 5o5o 5337 56 2 5 5912 6200 6488 6775 7063 7 35i 7 63 9 7928 8216 85o4 8 79 3 9081 9 3 7 9659 9948 0237 o526 o8i5 no4 1394 i683 33 2 5 36i5 3905 3373 3663 3 9 53 4195 4'-i44 4486'4534 4776'4325 5067^5 1 15 5357 54o6 235648 5696; 59395987' 623o 6278J 652i 6569' 6812:6860 7io3hi52 7394I7443' 76867734 7977 8026 8269 83 18 1369 i656 1942 2228 25i5 2801 3o88 33 7 5 3662 3949 4236 4523 48io 5098 5385 5672 5960 6248 6535 68 2 3 7111 7 3 99 7688 7976 82$4 8552 884 1 9i3o 94i8 9707 9996 0285 0574 o863 Il52 1442 1731 197312021 2262J23IO 2552 2600 2842 2890 3i323i8o 3422 3470 3712 3760 4oo2;4o5o 4292 4340 4582463II4679 48734921 4970 5i64 52i2i526o 545455o3555i 5745579315842 6o366o846i33 6327 637:') 6424 6618)66666715 6909 6957 7006 7200 7249 7297 7492 7540 7589 77^ ; 7^327880 8075 M23 8172 8366 84 1 5,8463 1417 1703 1990 2276 2563 2849 3i36 3423 3710 3 997 4284 45 7 i 4858 5i45 5433 5720 6008 6296 6583 6871 7 i5 9 7447 7736 8024 83i2 8601 8889 9178 9 466 97 55 ..44 o333 0622 09 1 1 1201 1490 1779 2069 2359 2648 2 9 38 3228 35i8 38o8 4099 438 9 1465 1751 2037 2324 26lO 2897 3i84 347i 3 7 5 7 4o44 4332 4619 4906 5193 548i 5 7 68 6o56 6344 663i 6919; 7207-39 7495J38 5o 58 '7 56 55 54 53 5 2 5i 5o 4g 48 4 7 46 45 44 43 42 4i 4o 7784 8072 836o 8649 8 9 3 7 9226 95i 5 So33o ..92 o38i 0670 0960 1249 i538 1828 2117 2407 2697 2987U9 3277 18 356 7 3857 4i47 443 7 472813 5oi8|i2 5309 1 1 56oo to 5890 9 6181 8 6472 6763 7o55 7346 763 7 7929J 2 8220 1 85i2! o 50" 4(t" 1(>" Co-tansrent of 3 1 Dofrrecs. Co-tangent of 30 Degrees. P. Part 1" 3" 4" ;"." 6" 7" 8" '.>" 14 If) 24 ','8 .3.3 38 43 P. Fart S 1" 2" 3" 4" 5" (I" 7" 8" 9" ( r, 10 14 19 24 29 34 39 43 8 4 LOGARITHMIC SS I N E 8. i Sine of 60 Degrees. c s i Sine of 61 Degrees. i 1 0" 10" 20" 30" 40" 50" | 0" | 10" 20" | 30" 40" J"-l 1 i5 7 8^cT ! o 9.937531 7543 7555 7567 7 5 79 75 9 I 5 9 9.941819 i83i i843 i854 1866 I 7604 7616 7628)7640 7 652 7664 58 I 1889 1901 191 3 1924 1936 1948 58 2 7676 7689 7701 77l3 7725 77 3 7 57 2 i 9 5 9 1971 1983 i 99 4 2006 2017 57 3 7749 7761 7773 7786 7798 7810 56 3 2029 204l 2o52 2064 2076 208756 4 7822 7834 7846 7858 7870 7883 55 4 2099 2111 2122 2134 2i46 2i5 7 l55 i 5 7 8 9 5 7907 79197931 7 9 43 79 55 54 5 2169 2180 2192 2204 22l5 2227 54 6 7967 7979 7992 8oo4 80168028 53 6 2239 225o 2262 2273 2285 2297 53 7 8o4o 8o52 80648076 80888100 52 7 z3o8 2320 233l 2343 2355 2366 52 8 8u3 8i25 81378149 8i6i!8i 7 3 5i 8 2378 2390 24oi 24i3 2424 2436 5i 9 8i85 8197 8209 8221 823318245 5o 9 2448 2459 2471 2482 2494 25o6 5o IO 9 >? 38258 8270 8282 ! 82 9 4 83o6'83i8 49 IO 9.942517 2529 2540 2552 2563 2575 4 9 ii 833o 8342- 83548366 83 7 8 8390 48 11 2 58 7 2598 26lO 2621 2633 2645 48 12 8402 84i4 8426,8439 845i 8463 47 12 2656 2668 2679 2691 2702 2714 47 i3 8475 8487 8499 ! 85n 8523 8535 46 i3 2726 2 7 3 7 2749 2760 2772 2783 46 i4 8547 855 9 85 7 i 8583 85 9 5 8607 45 14 2 79 5 2806 28l8 283o 2841 2853 45 i5 8619 863i 8643,8655 8667 8679 44 i5 2864 2876 2887 2899, 2910 2922 44 16 8691 8 7 o3 8715,8727 8 7 3 9 8 7 5i 43 16 2934 2945 2 9 5 7 2968 2980 2991 43 17 8763 877687888800 8812 8824 42 17 3oo3 3oi4 3026 3o37 3 049 3o6o 42 18 8836 8848 886o'8872 8884 8896 4i 18 3072 3o83 3095 3107 3n8 3i3o 4i x 9 8908 8920 89328944 8 9 56 8968 4o J 9 3i4i 3i53 3i64 3i 7 6 3i8 7 3i 99 4o 20 9.938980 8992 9004 9016 9028 9040 3 9 20 9.943210 3222 3233 3245 3256 3268 3 9 21 9052 9064 9076 9087 9099 91 1 1 38 21 3279 3291 33o2 33i4 33 2 5 3337 38 22 9123 9i35 9147 9159 9171 9183 37 22 3348 336o 3371 3383 33 9 4 34o6 3 7 23 9 i 9 5 9207 9219 9231 9243^255 36 23 34i7 3429 344o 3452 3463 3475,36 24 9267 9279 9291 93o3 9315^327 35 = 4 3486 3498 3509 352i 3532 3543135 25 9339 9 35i 93639375 9387 9399 34 25 3555 3566 35 7 8 358 9 36oi 36i2J34 26 9410 9422 94349446 9458 9470 33 26 3624 3635 3647 3658 3670 368i 33 27 9482 9494 95o6 9518 953o 9542 32 27 36 9 3 3704 3 7 i5 3727 3738 3750 32 28 9554 9566 9578 9590 9601 9613 3i 28 3761 3773 3 7 84 3796 38o 7 38i8 3i 29 9625 9 63 7 9649 9661 96 7 3 j9 685 3o -9 383o 384i 3853 3864 38 7 6 388 7 3o 3o 9.939697 9709 9721 9733 9744,9756 29 3o 9.943899 3910 3921 3 9 33 3 9 44 3 9 56 29 3i 9768 9780 9792 9804 9816 9828 28 3i 3967 3 97 8 3990 4ooi 4oi3 4o2i 28 32 9840 9852 986398759887 9899 27 3 2 4o36 4047 4o58 4070 4o8ii4o93 27 33 99" 9923 99 35 9947|99 5 9 9970 26 33 4io4 4n5 4127 4i38 4i5o|4i6i 26 34 9982 9994 ...6 ..18 L.3o ..42 25 34 4172 4i84 4195 4207 4218 U229 25 35 9.940054 oo65 00770089 0101 on3 24 35 4241 4252 4264 4275 42864298 24 36 OI25 0137 oi48 01600172 0184 2 J 36 4309 4321 4332 4343 43554366i23 37 0196 0208 0220 023i|0243 o255 22 37 4377 438 9 44oo 4412 4423 4434|22 38 0267 0279 0291 o3o3.o3i4 0326 21 38 4446 445 7 4468 448o 4491 45o3 21 3 9 o338 o35oo362'o374!o385 o3 97 20 39 45i4 45 2 5 4537 4548 455 9 45 7 i 20 4o 9.940409 0421 o433 o445 o456 0468 X 9 4o 9.944582 45 9 3 46o5 4616 4627 463 9 J 9 4i o48o 0492 o5o4 o5i6 0527 0539 l8 4i 465o 466i 46 7 3 4684 4696 4707 18 42 o55i o563 o5 7 5o586o5 9 8 0610 17 42 4718 473o 4741 4752 4764 4775 l l 43 0622 o634 o645 0657 0669 0681 16 43 4786 479 8 4809 4820 483i 4843 16 44 0693 0704 0716 0728 0740 0752 i5 44 4854 4865 4877 4888 4899 491 1 i5 45 0763 o 77 5 07870799 0811 0822 i4 45 4922 4933 4945 4956 4967 4979 *4 46 o834 0846 o858 0870J0881 0893 i3 46 4990 5ooi 5oi3 6024 5o35 5o46!i3 47 0905 0917 09280940 0952 0964 12 47 5o58 6069 5o8o 5092 5io3 5i i4J 12 48 o 97 5 0987 0999 ion 1023 io34 11 48 5i25 5i3 7 5i48 5 1 59 5 1 71 5i82 11 49 io46 io58 1070 1081 1093 no5 IO 49 5193 6204 52i6 5227 5238 525o 10 5o 9.941117 1128 ii4o'ii52 1164 1 175 9 5o 9.945261 5272 5 2 83 5295 53o6 53i7 9 5i 1187 II99 I2Il!l222 1234 1246 8 5i 5328 534o 535i 5362 53 7 4 5385 8 52 1258 1269 1281 I2 9 3 i3o4 i3i6 7 52 5396 5407 5419 543o 544i 5452 7 53 1328 I 340 i35i i363 i3 7 5 i38 7 6 53 5464 5475 5486 5497 5509 5520 6 54 1 3 9 8 i4io l432 1433 1445 i457 5 54 553i 5542 5554 5565 55 7 6 558 7 5 55 1469 i48o 1492 i5o4 i5i5 1527 4 55 55 9 8 56io 562i 5632 5643 5655 4 56 1539 i55o i562 i574Ji586 i5 97 3 56 5666 5677 5688 5700 571 1 5722 3 5 7 58 1609 1679 1621 1691 i632 1702 i644 i656 1714I1 726 1667 1738 2 1 5 7 53 5733 ! 5744'5 7 56 5767 58oo 5812 5823 5834 5 77 8 5845 5789 585 7 2 i 1 5 9 P. 1 1749 1761 1773 1784:1796 1808 5 9 5868 ( 5879 ! 589o59oi 59135924! 60" | 50" 40" | 30" | 20" 10" c 60" 1 50" j 40" | 30" 1 20" 1 10" j Co-sine of 29 Degrees. Co-sine of 28 Degrees. .3 2 .( 1" 2" 3" 4" 5" 6" 7" 8" 9" lan { 1245678 10 11 P. 1 1" o" 3" 4// 5// 6 // 7 n 8 // 9 -/ ian \ 1 2 3 5 i 7 8 9 10 . .- - ..... Logarithmic Tangents. 85 Tangent of 60 Degrees. 10" I 20" 30" Tangent of 6 1 Degrees. v 30" 40" SO" l| 2i 3 4 5 6 7 3 9 i<> 1 1 12 i3 i4 1 5 16 17 18 '9 . 23856i I8609J865818707 8852 8901 8950 8998 9144 9'93 9242 9290 9436|9485 9534 9582 9777 9826 9874 006910118 0167 8755,8804 22 2'; 24 25 26 27 38 J v 3o i 3 a 33 34 35 36 37 38 39 4o 4i 42 43 44 45 46 47 48 49 5o 5i 5 2 5'! 54 55 56 5 7 58 5 9 9720 10.240021 o3i3 o6o5 0898 1 190 io.a4i483 1776 2069 2362 2655 2948 3241 3535 3828 4l22 io.2444i5 4709 5oo3 5297 5591 5885 6180 6474 6769 7063 .247355 7653 7948 8243 8538 5934(5984 622916278 6523J6572 6818J6S67 7112 7161 7407 7456 7702(7751 799718046 83928341 8587 8636 8833j8882 ! 8 9 3i 9128 9178,9227 9424 9473J9522 9719 9769 9818 io.25ooi5 oo64(on4 io.25o3i 1 o362 o4io o654 0703 0947 1239 i53 2 1825 2118 241 1 2704 2997 3290 3584 38 77 417 1 4464 0995 1288 i58i i8 7 3 2166 2459 2753 3o46 3339 3632 3926 4220 45i3 47584807 5o52 5ioi 53465395 564o[5689 0459 0752 io44 i33 7 1629 1922 22l5 25o8 2801 3095 3388 368 1 3 97 5 4269 4562 4856 0607 0903 "99 1495 1791 2087 2384 2681 2977 10.253274 3571 3868 o36o 0409 o656 0705 0952 1248 1 544 i84o 2137 2433 2730 3027 3324 3620 1 00 1 1297 1594 1890 2186 2483 2779 3076 3373 3670 90479096 g339'9388 963i 9680 99239972 02l5 0264 o5o8 0557 0800 0849 1093 1142 i385 i434 1678 1727 197112020(48 2264'23l3|47 2557,2606(46 285o 2899 3i43 3192 3486 3779 4073 4366 466o 4954 5248 343 7 3730 4024 43i8 46i 1 4905 5i5o]5i99 5444 5493(5542 57335787(5836 6o33 6082(6131 63276376.6425 6621 6670,6720 6916 6965 7014 7211 7260 7309 7 5o5 7 554 7604 7800 7849J7899 80958144,8194 839084398489 868587358784 1 9o3o 9079 9276 9325 9370 9572 9621,9670 9916 9966 0212 0261 9867 oi63 0459 0755 io5i 1 347 i643 i 9 3 9 2236 2532 2829 o5o8 o557 o8o4,o853 noo'1149 i396r445 1692 1742 19892038 2285 2335 2 582'263i 2878*2928 3i 26;3i 75 3225 3423i3472i352i 3769I3818 4o664i 16 4363 44i3 4661(4710 4958,5oo8 3918,3967 4i65|42i54264 4462,45i2'456i 476014809(4859 5o57|5io7 5i56 5355J54o4 545455o4(5553 i 56o3 5652 , 5702 \ 5 752 58o 1 j585 1 5901 5950(60006049:609916149 6198 10" 3719 4017 43i4 46n 4908 52o6l5256 53o5 10.256248 6546 6844 7142 744i 77 3 9 8o38 8336 8635 8934 10.259233 9532 g83i io.26oi3o o43o 0729 1029 1329 1629 1929 10.262229 2529 2829 3i3o 343o 3 7 3i 4o3i 4332 4633 4934 10. 265236 553 7 5838 6i4o 6442 6743 7045 7347 7649 795 10.268254 8556 885 9 9162 9 465 9767 10.270071 0374 0677 0980 10.271284 i588 1891 2195 2499 28o3 3io8 34i2 3 7 i6 4o2I 6298 65 9 6 6894 7192 7490 7789 8087 8386 634 7 6645 6 9 44 7242 754o 7 83 9 8i3 7 8436 63 97 66 9 5 6993 7291 7 5 9 o 86858735 8984 9283 9582 9881 0180 o48o 0779 1079 1 3 79 1679 1979 2279 25 79 2879 3i8o 348o 3 7 8i 4082 4382 4683 4985 5286 558 7 588 9 6190 6492 6794 7096 7 3 9 8 7700 8002 83o4 8607 8909 9212 g5i 5 9033 9332 9632 99 3i 0230 o53o 0829 1129 1429 1729 2029 2329 2629 2929 3z3o 353o 383i 4i32 4433 4734 5o35 5336 563 7 5939 6240 654a 6844 7146 7448 77 5o 8o52 8355 865 7 8960 9263 9 566 6447:6496159 6745J6794J58 704317093J57 7341 7391 56 764017689P5 79387988154 8i87 823 7 ;8 2 86J53 8486 8784 9083 9382 0280 o58o 8535,858552 883488845i 91339183 9432 9482 9731 9781 ..3i ..80 o33oo38o 0629 0679 0879I0929 0979 1 179 1229 1279 1479 1529 1579 r 779| 1829J1879 2079 23 79 2679 2979 3280 358o 388i 4182 4483 4784 5o85 5386 5688 5989 6291 6592 68 9 4 7196 7498 7800 8io3 84o5 8708 9010 2129 2179 2429(2479 27292779 3029^079 333o.338o 363o368i 3931 3981 4232,4282 45334583 48344884 5i35(5i85 3o 5436548729 5 7 38j5 7 88 28 6039 6090127 634i 63gi 26 6643669325 6945^995 24 7247,729723 7 5 49, 7 5 99 22 7851 7901 21 8i53 82o4 ! 2o 8456'85o6 19 9818,9868 0121 0172 0424J0475 0728 0778 io3i 1082 i335 i385 i638 1689 1942 1993 2246 2297 25502601 *.:854 2905 j3i583so9 346335 1 3 3767(3818 4072 4122 8758,8809 9061 9111 93i3J9364 94i4 9616 9667 9717 9919 0222 o525 0829 Il32 i436 I? 3 9 2o43 9970J. .20 14 0273 o323Ji3 05760626(12 0879 0930 1 1 n8'; 1233 i486 i53 7 1790 i s 4i 2oy4 2i45 2347 2 398 -449 265i 2702 2755 2955 3oo6 3o57 326oi33io 336i 3564 ! 36i5 3666 3869139 1 9 3970 417342244275 5" 6" ?" 8" 9" 2.') 30 3j 40 4. r 86 Logarithmic Sines. Jj Sine of 62 Degrees. 3 Sine of 03 Degrees. 1 0" 10" | 20"' 1 30" | 40" 50" 0" 10" | 20"' 30" 40" 5(1" 1 o 9.945935 5946^957 5969 5980 5 99 i 5 9 O 9.949881 9892I9902 99 i3 9924 9935 5 9 I 6002 6013,6024 6o366o47 6o5858 I 9945 9956 9967 9977 9988 9999 58 2 6069 6080 6092 61 o3, 61 14 6i25 57 2 9.950010 0020 po3i 0042 oo52 oo63 57 3 6i36 61476159 6170,6181 6192 56 3 0074 0084 0095 0106 OII7 0127 56 4 6203 6214 6226 6237,6248 6209 55 4 oi38 0149 0159 0170 Ol8l 0191 55 5 6270 6281 62936304 63i5 6326|54 5 0202 02i3 0224 0234 0245 0256 54 6 6337 6348 6359 637X 6382 639353 6 0266 0277 0288 0298 0309 0320 53 7 64o4 6415 6426,6437 6449 646o5 2 7 o33o o34i p352 o362 0373 o384 53 8 6471 6482 6493^504 6549 656o 6571 65i5 6526 5i 8 0394 o4o5p4i6 0426 0437 o448 5i 9 6538 6582 6693 5o 9 o458 04690480 0490 o5oi o5i2 5o IO 9.946604 66i5 ( 662 7 6638 6649 6660 49 10 9.950522 o533 o544 o554 o565 0576 4 9 ii 6671 668266936704 6 7 i5 6726 48 ii o586 05970607 0618 0629 0639 48 12 6738 6749*67606771 6782 679347 12 o65o 0661I0671 0682 0693 0703 47 i3 68o4 68156826,68376849 686o46 i3 0714 0724 0735 0746 0756 0767 46 i4 6871 6882 6893^9046915 692645 14 0778 0788 0799 0809 0820 o83i 45 i5 6937 694869S9 6970J6982 6993 44 i5 o84i o852 0862 0873 0884 0894 44 16 7004 7oi5 7026,7037 7048 7o5 9 43 16 0905 0915 0926 o 9 3 7 0947 og58 43 17 7070 7081 7092 7103 7114 7125 42 17 0968 0979 0990 1000 IOII 1021 42 18 7i36 7147 7i58 7170 7181 7192 4i 18 io32 io43 io53 1064 1074 1 08 5 4x J 9 7,203 7214 722517236 7247 7258 4o l 9 1096 1 1 06 1117 1127 n38 xi48 4o 20 9.947269 7280 7291 7302 7 3i3 7324 39 20 9. 951169 1 1 70 1180 1 191 1201 1212 39 21 7335 734673577368 7379 7390I38 21 1222 1233 1244 12S4 1265 1275 38 22 7401 7412 7423,7434 7445 7456 37 22 1286 1296 1 307 1317 1328 1339 37 23 7467 7478 7489 7500 75n 7522 36 23 I 349 l l36o 1370 i38i 1391 l402 36 24 7 533 754575567567 7 5 7 8 7 58 9 35 24 1412 i423 i434 1 444 i455 i465 35 25 7600 7611 7622J7633 7644 7655 34 25 l476 i486 1497 1 507 i5i8 1528 34 26 7665 7676 7687 7698 7709 7720 33 26 i539 1 549 i56o 1570 i58i 1591 33 27 77 3i 7742 7753 7764 77 7 5 7786 32 27 1602 i6i3 1623 1 634 1 644 i655 32 28 7797 7808 7819 783o 74i 7 85 2 3i 28 1665" 1676 1686 1697 1707 1718 3i 29 7863 78747885 7896 7907 7918 3o 29 1728 1739 1749 1760 1770 1781 3o 3o 9.947929 79407951 7962 7973 7984 29 3o 9.951791 1802 1812 1823 i833 1844 29 3i 799 5 800680178028 8o38,8o49 28 3i i854 i865 i8 7 5 1886 1896 1907 28 32 8060 8071 80828093 8io48n5 27 32 1917 1928 1938 1949 i 9 5 9 1969 27 33 8126 8i37'8i48 8i5 9 81708181 26 33 1980 1990 2001 2011 2022 2032 26 34 8192 8203 8213 8224 8235 8246 25 34 2o43 2o53 2064 2074 2o85 2095 25 35 8257826882798290 83oi 83i2 24 35 2106 2116 2126 2137 2147 2i58 24 36 8323 8334 8344 S355 8366 83 7 7 23 36 2168 2179 2189 2200 2210 2221 23 37 8388 83998410 8421 8454 8464 84 7 5 8486 8432 8443 22 37 223l 2241 2252 2262 2273 2283 22 38 8497 85o8 21 38 2294 23o4 23l4 2325 2 335 2346 21 3 9 85i9 8530*854x8552 8562 8573 20 39 2356 2367 23 77 2387 23 9 8 2408 20 4o 9-948584 8595 86o6J86i7 86288639 *9 4o 9.952419 2429 244o 245o 2460 2471 l 9 4i 865o 86608671 8682 86938704 18 4i 2481 2492 2502 25l2 2523 2533 l8 42 8 7 i5 872687368747 87588769 '7 42 2544 2554 2565 2575 2585 2596 17 43 8780 879i'88o2 8812 88238834 16 43 2606 2617 2627 2637 2648 2658 16 44 8845 8856,88678878 8888,8899 i5 44 2669 2679 2689 2700 2710 2720 i5 45 8910 8921,89328943 8954,8964 i4 45 2731 2741 2752 2762 2772 2 7 83 i4 46 8 97 5 8986,8997 9008 9019:9029 i3 46 2 79 3 2803 2814 2824 2835 2845 i3 4 7 9040 9o5i 9062 9073 9083 9094 12 47 2855 2866 2876 2886 289.7 2907 12 48 9io5 9116 9127 9138 91489159 11 48 2918 2928 2 9 38 2949 2959 2969 11 49 9170 9181 9192,9202 9213 9224 10 4 9 2980 2990 3ooo 3dn 302I 3o3i IQ 5o 9.949235 9246 9256 9267 9278 9289 9 5o 9.953042 3o52 3o62 3073 3o83 3093 9 5i 9300 9310 9321 9332 9343 9354 8 5i 3io4 3n4 3i24 3i35 3i45 3i55 8 52 9 364 9375 93869397 9408 9418 7 52 3i66 3i 7 6 3i86 3197 3207 3217 7 i 53 9429 94409451 9462 9472^483 6 53 3228 3238 3248 3259 3269 3279 6 54 9494 95o5 o5i5j9526 9569'958o 9591 953 7 ; 9 548 5 54 3290 33oo 33io332i 333i 334i 5 55 9558 9602 9612 4 55 3352 3362 3372 3382 33g3 34o3 4 56 9623 9634 9645.9655 9666 9677 3 56 34x3 3424 3434 3444J3455 3465 3 57 9688 9698 9709 9720 9731 9741 2 57 3475 3485 3496,35o6,35i6'3527 2 58 9752 9763'9774;9784 i 9795 9806 1 58 3537 3547 355 7 3568 35 7 8 3588 1 591 9816 9827 9 838 984919859 9870 5 9 3599 3609 3619 3629 364o 365o 60" | 50" i 40" | 30" | 20" | 10" d 60" | 50" | 40" i 30" j 20" | 10" | e - Co-sine of 26 Degrees. 3 Co-sine of 27 Degrees. S|| I P. Pn i 1" 2" 3" 4" 5" 6" 7" 8" 9" rari } 12345789 10 1 - c l o" 3" 4" 5" C" 7" 8" 9" rart } 12345G789 Logarithmic Tangents. 87 Tangent of G2 Degrees. o i 2 3 4 5 6 7 8 9 io ii I! i3 i4 i5 16 17 21 22 23 2^ 25 2fi 2 7 25 9 3o 3 1 32 33 34 35 36 37 38 3 9 4o 4i 42 4 '5 44 45 46 4 7 48 49 5o 5i 52 53 54 55 56 r >7 5s 59 .274326 463o 4935 524o 5546 585i 6i56 6462 6768 7 o 7 3 ,277379 7685 799 1 8298 86o4 8911 9217 9524 9831 280138 28o445 0752 43 7 6 468i 4986 5291 5597 5902 6207 65i3 6819 7124 743o 77 36 8o43 8349 8655 8962 9268 9 5 7 5 9882 0189 0496 0804 1060 in 1 1 367 1419 1675 1726 1983 2034 2342 265o 2958 ::>. 2291 2599 2907 32i5|3266 a835 2 335 7 5 38323883 4i4o 4192 4449 "" 4?58 5067 5376 5686 5995 63o4 286614 6924 7234 7544 7854 8i64 8475 8 7 85 9096 9407J9458 289718 9769 290029 0081 o34o 0392 o65r 0703 0963 ioi5 1274 1 326 , i58G i638 1898 1950 22JO 2262 2522 2574 4529 4834 5i3 9 5444 5749 6o55 636o 6666 6971 7277 7583 7889 8196 85o2 8809 911? 9422 9729 36 o343 o65o 9 5 7 1265 1572 1880 2188 249G 2804 3lI2 3421 3729 4o38 4346 4655 4964 5273 5582 58 9 2 6201 65n 6821 7i3o 744o 775i 8061 83 7 i 8682 8992 93o3 9614 9925 0236 o547 o85 1 1 70 1482 1794 2106 2418 2730 Co-tangent of 27 Degrees 45oi 4810 5i 19 5428 5 7 3 7 6o46 6356 6666 6975 1 7285 7 5 9 5 7906 8216 8526 883 7 9U8 30" 4427 4732 5o37 5342 564 7 5g53 6258 6564 6870 7 i 7 5 7 48i 7787 8094 84oo 8706 9013 9320 9626 9933 0240 o548 o855 1162 1470 1777 2o85 2393 2701 3009 33i8 3626 3 9 35 4243 4552 4861 5170 5479 5789 6098 6i5o 64o8645 9 6717 6769 4478 4783 5o88 5393 56 9 8 6oo4 6309 66i5 6920 7226 7532 7838 8i45 845 1 8 7 5 7 9064 9 3 7 i 9678 9984 0292 0599 0906 I2l4 l52I 1829 2137 2445 2753 3o6i 3369 3678 3 9 86 95 46o4 4gi3 22 553 1 584o 50" 7027 7 33 7 7647 7079 7 38 9 7699 7957 8009 82688319 8578863o 88898941 91999251 951019562 9821 9873 Ol32 pi84 o444 0496 0755 0807 1066 1 3 7 8 1690 2002 23l4 2626 1118 i43o 1742 2054 2366 2678 00" i 40" I 30" 458o 4885 5190 5495 58oo 6io5 64n 6717 7022 7328 7634 794o 8247 8553 8860 9166 9473 9780 ..87 0394 0701 1009 i3i6 1624 1931 2239 2547 2855 3i64 3472 3780 43 9 8 4707 5oi6 5325 5634 5 9 43 6253 6562 6872J19 7182 18 7492 17 |j 42 7802I16II43 8n3 i5 8423 14 8 7 33 i3 9044 12 9355j 1 1 9666^0 4y 9977 9i5o Tangent of G3 Degrees. 10.292834 3i46 3459 10" 20" 2886 3199 35u 3772 3824 4o84 4i3 7 4397 4710 5024 5337 565o 4449 4763 5076 538 9 5703 2938 325i 3563 38 7 6 4189 45o2 48i5 5128 544 1 5755 10.29596460166068 627863306382 6591 66446696 6905 6958 7010 7219 7272 7324 7534 7586 7638 7848 7900 7953 8i63 8215 8267 8477 853o 8582 8792 8845 8897 10.299107 9i59'92i2 9422 9475J9527 9737979 9842 io.3ooo53 oio5 01 58 o368 0421 o473 068407360789 0999' 1052 1 io5 1 3i 51 1 368 1421 i63i 1684 1737 1947 2000 2o53 10.302264 23162369 258o 2633 2686 2897 2950 3002 32i3 32663319 353o 3583 3636 384739003953 4164U2174270 448245354588 4799 4852U905 5ii7!5i7oJ5223 .3o5434 ! 5487 ! 554o 5 7 52|58o5 5858j5 9 i i|5 9 64 6070 61 23j6i 76:6229:6282 6388,644i 6494 6547'66oo 6707 6 7 6o68i3 6866 6919 7025 7078^131 7184 7237 7344 7397 745o75o3 7556 7662 7715,7768 7822 7875 7981 8o34!8o8 7 8i4i 8i 9 4 83oo8353 84o6 846o85i3 io.3o86i 9 8672 8726,8779 8832 8938 8992:9045 9098 91 5i 9258 931 1 b364 9418 9471 95 7 7 (9 63i 9684:97379790 9897 995o . . .4 . .57 . 1 10 1 o.3 1 02 1 7 0270 0324,0377^430 0537^590 o644 0697 0750 0857,0910 0964 1017 1070 1177 I23i 1284 1337:1391 1498 1 55 1 if>o5 i658 171 1 2990 33o3 36i5 3928 424i 4554 4867 5i8o 5494 5807 6121 6434 6 7 48 7062 7377 7691 8oo5 832o 8635 8949 9264 958o 9895 0210 o526 o84i 1 157 i473 1789 2106 2422 2738 3o55 33 7 2 368 9 4oo6 4323 464o 4958 52 7 6 55g3 3o42 3355 366 7 3980 4293 46o6 4919 5232 5546 585 9 6173 6487 6801 71 15 7429 7743 8o58 83 7 2 8687 9002 9 3i 7 9632 9947 0263 o5 7 8 0894 1210 i526 1842 2i58 2475 2791 3io8 3425 3742 4059 43 7 6 4693 5on 5328 5646 3og4 347 3720 4o32 4345 4658 4971 5 2 85 5598 5i 5gi2 6225 653 9 6853 7167 748i 7796 8110 8425 8740 9054 9 3 7 9 685 o3i5 o63i 0947 1263 i5 79 1895 2211 2527 2844 3i6i 3478 3794I25 4lI2 24 442923 474622 5o64 21 538i 20 5699 19 6017 18 6335i7 6654 1 6 6972 i5 7290 14 7609! 1 3 12 1 1 IO 7928 8247 8566 S885 9205 9524 9844 .164 o484 0804 1124 i444 1765 40" 30" Co-tan 123456789 e yi 011 3// P. Part J \ ~ 2 \ 5" 6" 7" 8" 5 6 7 S LOGARITHMIC TaNGKATS. 89 Tangent of 64 Degrees. 10" 20" 40" | 50" | Tangent of 00 Degrees. 10" 30" 30" 1 40" | SO" IO.311S1SI1872J1925 2l39 2192 2246 246o;2:i3 2334 3i55 3477 3 79 8 22 23 124 25 2(3 27 2^ 29 3o 3; 32 33 34 35 36 3 7 38 3, Jo 4 1 42 4 'I 4(4 45 46 47 48 49 5o 5 1 r ,2 53 54 55 2781 3 1 02 3423 3 7 4\ 4o66j4i2o 4388444s 4710 4764 io.3i5o32 5o86 535454o8 5676 5730 5 999 632i 6644 6967 7290 7 6i3 79 3 7 10.318260 8584 9232 6o53 6375 6698 7021 7344 7667 799 83i4 2567 2888 3209 353o 3852 4i73 4495 4817 5 1 39 546i 5 7 84 6106 6429 6752 7075 7 3 9 8 7721 8o45 8368 1979I2032J2085 59 2299 2353,24o6 86388692 8962'9oi6 9286 9340 9556 9610 9664 988o[ 9 934 ! 9988 io.3202o5jo259lo3i3 o529'o583|o637 o854 0908 0962 1 179 1233 1287 io.33i5o4 i558 1612 1829 :883 i g 38 2l54|2209 2263 a48o 2534 2588 2806 2860 2914 y 3i3i 3i86324o 345 7 3783 4no 35i2 3838 4i64 3566 3892 4219 4436!449i|4545 10.324763I48174872 5089 5i44j5i98 5416,5471 5525 5743 5 79 8 5852 6071 6i25 6180 63 9 8'645365o7 2620 2941 3263 3584 3905 4227 4549 4871 5193 55i5 5838 6160 X 2674,2727 2995i3o48 33i6 3370 363 7 369i 3959 4oi3 4281 4334 46o3 4656 4925U978 5247,53ooJ49 5569 5623J48 5891 5945 62146268 6483JC537 6690 68o6 686o|6 9 i3 7129171 83j7236 7452 7775 8099 7506,7560 7829 7883 8i5382o6 8422I84768530 874688008854 9070 9124:9178 9394 9448 o5o2 97189772^826 . .42 . .961.151 0367 0421 0475 0692 0746 0800 IOl6 IO7I 1125 i34i i396 ! i45o 1666 1721,1775 1992 2046|2I00 2317 2371 2426 2643]2697J275i 3023,3077 32 9 4 3620 3 9 47 42 7 3 4599 4926 5253 558o 5 9 o 7 6234 6562 334934o3 36753729 4ooi 4o55 43274382 4654U708 4981 |5o35 5307,5362 5634j5689 5962 6016 6289(6343 6616,6671 6944,6999 7217I72727326 7545j76oo ! 7654 7 S 7 3 7928,7982 6889 672667806835 7053(7108,7162 7381 74367490 770977647818 10.328037 8092^ i47|82oi!8256'83 1 1 8365842o|S475 853o'8584 863 9 86948749 88o3 8858J8 9 i 3 8968 9023 90779132 9187 9242 9297 935ij94o6 ; 946i 95169571 9625 963o[9735 9790 9845,9900 9955 56 io.33ooo9'oo64'oi 19 01740229 0284 ' O339|o394|o44 s o5o3o558o6i3 o668 ! o 72 3 07780833 0888 0943 P. Part Co-tangent of 25 Degrees. ~V r T>"~~7~"~ 8' ' 27 33 38 43 ,33i327Ji382 1657 1712 1987 2042 23182373 26482703 2979 3o34 3309 364o 3 97 i 43o2 10.334634 4965 5297 5629 5961 6293 6625 6 9 58 7291 7624 10.337957 8290 8623 8 9 5 7 3364 36 9 5 4026 4358 468 9 5o2I 5352 5684 6016 i43 7 1767 2097 2428 2 7 58 3089 3420 3 7 5i 4082 44i3 4744 5076 5408 5740 C072 1492 1547 1602 182211877 1932 2i53 2483 28i3 3i44 3475 38o6 4i3 7 4468 48oo 5i3i 5463 5 79 5 2208 2263 a538 2593 28682924 3199 3254!54 353o358553 386i 39i6|5 4192 4247 4523 4579160 4855|49io 5i86 5242 63491 64o4 6681J6736 7013,7069 7346 7402 7679(7735 55i855 7 4 585o 5906 6127J61826238 6459 65i5 6670 6792(6847 6903 712417180 7235 745775i37568 5i 7790 7846,7901 40 8012 8068 8123 8179 8234 39 8345 84oi 8456 85i 2 8568 38 8679 8 7 34 8790 8845 8901 37 90i2'9o68 9123 917919235 36 9290 9346 9402,9457 9624 9680 9958 . .14 10.340292 o348 0S27 0682 0961 1017 10.341206 i35s 9735J9791 . .70 . ia5 o4o4 o46o 0738 0794 i63i 1966 23oi 2636 2972 33o8 3644 3980 1073 i4o8 1687 1742 2022 2078 2357 24l3 3028 3o84 3364 3420 3700,3756 4o36 4092 1 1 29 i463 1798 2i33 2469 95i3 9569 984719902 .181 .237 o5i5 0571 o85o 0905 i:84 i24o 1519 1575 i854 1910 ! 9 s8 2189 2245J27 2525'258i 26 2692(2748 2804 28602916:25 3i4oi3i96 325: 3476 3532 3588 2"; 38i2 3868 3924 4i48 4204^260 43i6 4372 4428 4484 45404596 20 10. 344652 U708 4764 4989 5o45,5ioi 532653825438 5663 5719 5775 4821 48774933 5i57 5a i3 5269 5494 555o56o6 583i 5887.5943 / j// o-/ 3 I 6 11 1] 6000 6o56 61 12 6168,6224 62S1 6337 6393 6449 65o6,6562|66i8 6674 6731 6787I6843 6899'6956 7012 7068J125J7181 7237 7293 7350:7406,7462 7519 7575I763 1 7688,7744,7800 78571791 3 7969 10.348026 8o82'8i39 8195 825i 83o8 8364,8421,8477 8533 85908646 8703875918815 8872 8928 8 9 85 9041 9098J9154J921 1 9267 9324 938094379493955096069663 9719 9776 9832 9889 9945 . . .2 io.35oo58Jou5 01 71 0228 o285o34i 0398 o454 o5i 10567 0624,0681 073710794 o85o 0907 0964 1 020 1077! 1 1 34 1190 1247 ' i3o4 i36o p. ['lilt Co-tangent of 24 Degrees. ( 1" 2'' 3" 4" 5" ~f" ' s* 7 " \ R 11 17 22 28 33 39 45 )0 LOGARITHMIC blNES. 1 Sine ot G6 Degrees. c Sine of 67 Degrees: 0" | 10" I 20" 30" 40" | 50" 0" 10"^ 20" 30" 40" 50" o 9.960730 0740(0749 0758 0768 O777I59 9.964026 4o35|4o44 4o53 4o62 4071 5 9 I 0786 0796 o8o5 0814 o824p83358 I 4o8o 4089 4098 4io6 4n5 4124 58 2 o843 08520861 0871 0880088957 2 4i33 4142 4i5i 4i6o 4169 4178 5 7 3 0899 0908 0917 0927 0936 0945 56 3 4187 4196 42o5 42i4 4222 423l 56 4 0955 0964 o 97 3 0983 0992 1002 55 4 4240 4249 4258 4267 4276 4285 55 5 ion 1020 io3o 1039 1048 io5854 5 4294 43o3 43n 4320 4329 4338 54 6 1067 1076 1086 IO95 no4 in3 53 6 4347 4356 4365 43 7 4 4383 4392 53 7 1123 Il32 n4i ii5i 1160 1 169 52 7 44oo 4409 44iS 4427 4436 4445 52 8 1 1 79 11881197 1207 I2i6:i225|5i 8 4454 4463 4471 44So 4489 4498 5i 9 1235 1244 1253 1263 1272 1281 5o 9 4507 45i6 4525 4534 4542 455i 5o :o 9 ,961290 i3oo 1309 i3 18 1328 i337 49 10 9.964560 456 9 45 7 8 458 7 45 9 6 4604 4 9 i: 1 346 i356Ji365 i3 7 4 i383 i3 9 3 48 11 46i3 4622 463i 464o 4649 4658 48 12 l402 i4n]i42i i43o i43 9 i448 47 12 4666 4675 4684 4693 4702 4711 47 i3 i458 1467 1476 i485 i4 9 5i5o4 46 i3 4720 4728 4737 4746 4755 4764 46 i4 i5i3 i523 i532 i54i i55oii56o 45 i4 4773 4781 4790 4799 4808 48i 7 45 i5 1569 i5 7 8 1587 i5 97 1606 i6i5 44 i5 4826 4834 4843 4852 4861 4870 44 16 1624 i634 i643,i652 1661 1671 43 16 4879 4887 4896 4905 4914 4923 43 17 1680 1689 1698 1708 1717 1726 42 l l 4931 4940 4949 4958 4967 4975 42 18 i 7 35 1745 175411763 1772 1782 4i 18 4984 4993 5oo2 5on 5020 5028 4i x 9 1791 1800 1809 1819 i828!i83 7 4o J 9 5o37 5o46 5o55 5o64 5072 5o8i 4o 20 5.961846 i856 i865 | i8 7 4 i883 1892 3 9 20 9.965090 5099 5107 5n6 5i25 5i34 3 9 21 1902 1911 1920 1929 1939,1948 38 21 5i43 5i5i 5i6o 5169 5i 7 8 5i8 7 38 22 i 9 5 7 1966 1975 1985 1994 2003 3? 22 5195 5204 52i3 5222 523o 523 9 37 23 2012 202I|2o3l 2040 2o49j2o58 36 23 5248 5257 5266 5274 5283 5292 36 24 2067 2077 2086 2095 2Io4,2Il3 35 24 53oi 5309 53i8 5327 5336 5344 35 2f 2123 2132 2i4i 2150J2159I2169 34 25 5353 5362 53 7 i 53 79 5388 53 97 34 2C 2178 2187 2196 2205| 221 4'2224 33 26 54o6 54i4 5423 5432 544i 5449 33 2 7 2233 2242 225l 2260 2269 2279 32 27 5458 546 7 5476 5484 5493 55o2 32 28 2288 2297 23o6 23i5i2325,2334 3i 28 55n 5519 5528 5537 5546 5554 3i 29 2343 2352 2 36 1 ,2370] 2379,2389 3o 29 5563 5572 558o 5589 55 9 8 5607 3o 3c 9.962398 2407 2416^425 2434 ! 2444 29 3o 9.965615 5624 5633 5642 565o 5659 29 3: 2453 2462 2471 2480 2489,2498 28 3i 5668 56 7 6 5685 56 9 4 5702 5711 28 32 z5o8 2517 2526 2535 2544 2553 27 32 5720 5729 5 7 3 7 5 7 46 5 7 55 5 7 63 27 33 2562 2572 25812590 2599 2608 26 33 5772 5 7 8i 5 79 o 5 79 8 5807 58i6 26 34 2617 2626 2635 2645 2654 2663 25 34 5824 5833 5842 585o 5859 5868 25 35 2672 2681 2690 2699 270812717 24 35 58 7 6 5885 5894 5902 5911 5920 24 36 2727 2736J2745 2754J2763 2772 23 36 5929 5937 5 9 46 5 9 55 5 9 63 5 97 2 23 3 7 2781 2790 2799 2809 2818 2827 22 3? 5981 5 9 8 9 5998 6007 6oi5 6024 22 38 28362845 2854 2863J2872 2881 21 38 6o33 6o4i 6o5o 6059 6067 6076 21 39 2890 2899 2909 29 1 8 2927^936 20 39 6o85 6093 6102 6111 6119 6128 20 4o 9.962945 29S4 2963 2972 29812990 X 9 4o 9.9661366145 6i54 6162 6171 6180 J 9 4i 2999 3oo8 3oi8 3027 3o36,3o45 l8 4i 6188 6197 6206 6214 6223 6232 l8 42 3o54!3o63 3072 3o8i 3090 3099 17 42 6240 6249 6257 6266 6275 6283 J 7 43 3io8 3i 17 3126 3i35 3i443i53 16 43 6292 63oi 63og 63i8 6326 6335 16 44 3i63 3172 3i8i 3i 9 o 3199 3208 1 5 44 6344 6352636i 6370 6378 6387 i5 45 3217 3226 3235 3244 3253 3262 i4 45 63 9 5 64o4 64i3 6421 643o 6438 U 46 3271 3280 3289 3298 33o 7 33i6 i3 46 6447 64566464 6473 6482 6490 i3 47 3325 3334 3343,3352 336i 3370 12 47 6499 6507 65i6 6525 6533 6542 12 48 3379i3388 339834073416 3425 11 48 655o 6559 656 7 65 7 6 6585 65 9 3 11 49 3434J3443 3452,3461 3470 3479 10 49 6602 6610 6619 6628 6636 6645 10 5o 9.5634883497 35o6!35i5j3524 3533 9 5o 9.966653 6662 6670 6679 6688 6696 9 5i 3542 355i 356o;3569 3578 3587 8 5i 6705 6 7 i3 6722 6730 6739 6748 8 52 3596 36o5 36i4;3623 363 2 364i 7 52 6756 6765 6 77 3 6782 6790 6799 7 53 365o 365 9 3668,3677 3686 3695 6 53 6808 6816 6825 6833 6842 685o 6 54 3704 3 7 i3 3722'373o 3739 3 7 48 5 54 685 9 6867 6876 6884 6893 6902 5 55 3 7 5 7 3 7 66 3 77 5 37843793 3802 4 55 6910 6919 6927 6936 6 9 44 6 9 53 4 56 38n 3320 3829 3838^3847 3856 3 56 6961 6970 6978 6987 6995 7004 3 5 7 3865 38 7 4 3883 3892 3901 3910 2 57 7013 7021 7o3o 7 o38 7047 7o55 2 58 3 9 i 9 3928 3937 3946 3g55 3 9 63 1 58 7064 7072 7081 7089 7098 7106 1 5 9 3972(3981 3990 3999 4oo8 4017 5 9 71 15 7123 7132 7140 7149 7i57 eo" | 50" 40" 30" | 20" 10" .5 3 60" 1 50" 40" 30" ! 20" | 10" d j Co-sine of 23 Degrees. Co-sine of 22 Degrees. 2 1 p T , .< 1" 2" 3" 4" 5" 6" 7" 8" 9" * -la $l 2 3 4 5 5 6 7 8 p p A I" 2" 3" 4" 5" 6" 7" 8" 9" r.iart^ j <, g 3 4 5 fi ? g L , _ _ Logarithmic Tangents. 91 Tangent of 66 Degrees. 50" Tangent of 67 Degrees. 10" 20' 30" 4C 50" i c 3 4 5 e 7 8 9 i" 1 1 i- i3 i4 1 5 16 17 18 *9 20 21 2 2 23 2 4 25 20 ^7 28 29 :;.. 3i 32 33 34 35 36 3? 38 3 9 4o 4i 4a 43 44 4^ 46 47 4^ 4 9 5o 5i 5a 53 54 55 56 r >7 58 5 9 io.35i4i7 i474 1757 i8i4 2097 2i54 2438 2494 2778 3i 19 346o 38oi 4i43 4484 .354826 5i68 55io 5852 6194 6537 6880 7223 7566 7909 835 3:76 3517 3858 4i99 454i 4883 5225 5567 5909 625i 6594 i53o 1870 2211 255i 2892 3233 35 7 4 3915 4256 45 9 8 4940 5282 5624 5966 6309 665i 1700 59 2040 58 238i 57 1 58 7 i644 927 2267 2324 2608 2665J2721 56 2949 3oo5|3o62 55 3290 3346,34o3 " 363i 3687 3 7 44 3972 4029 4o86 4427 43134370 4655 4712 6937 6994 7280 7337 7623 7680 7966 8024 io.35825383io8367 85 9 6 8654 87i 1 8940 8998 9055 9284 9342 9399 9629 9686 9743 9973 . .3i ..88 io.36o3i8o375o433 o663 0720 0778 4997 533 9 568i 6023 6366 6708 7o5i 7 3 9 4 77 3 7 8081 8425 8768 9112 9 456 9801 i45 0490 o835 1180 i525 1871 2217 2562 5o54 53 9 6 5 7 38 4769 5iii 5453 48 5 79 5 60806137 6423 648o 6 7 65 7108 745i 779 5 8i38 8482 8826 9170 95i4 2908 3 2 55 ioo3 io65ii i23 i353 1410 1468 361698 i 7 56 i8i3 2044,2I0I 2l59 2389 2447 p5o5 2735 2793]285i 3o8i 3i 3y 3197 3428 3486|3543|36oi 3774 3832 38 9 o 3948 4121I4179 U237 U294 4468J4526 4584 464i 481514873149314989 io.365i6a522o5a78!5336 55io 5568,5626 5684 5857,591 5j5973i6o3i 6205 6263i632i 6379 6553|G6 1 1,6669:6727 6901 6960 7018 7076 725o 7308 736617424 7598 7 G5 7i77i5l7773 7947 8oo5 8064J8122 2o3 o548 0893 1238 i583 1928 2274 26 6823 7166 7 5o 9 7852 8i 9 5 853 9 8883 9227 9 5 7 i 9916 260 o6o5 0950 1295 1641 2966 33i2 365 9 4oo5 4352 4699 5o46 53 9 4 574i 6089 643 7 6 7 85 7i34 7482 7 83i 8180 2332 >i2678 3o24 3370 3 7 i 7 4o63 44io 4757 5io4 5452 5 799 6147 6495 6843 7192 7540 i3 7889 8238 11 8529J8587 10 9 8 7 6 5 8296)8354 84i3 8471 . 368645 870418762 8820 8878J8937 89959053,9111 917092289286 934494039461 951995789636 96949753:9811 986999279986 .37004410 1 o3 01 61 0219 0278 o336 o394Jo453 o5 1 1 0569 0628 0686 0745 o8o3 0862 0920 0978 1037 '1095 Ii54 1212 1271 1S29 i388 i446i5o4|i563 1621)1680 1738I 1797 1 855 1914,1 9722031 '2090 " 20" lir ie. 372148 2499 285i 32o3 3555 3907 4259 4612 4964 53i7 10.375670 6024 6377 6 7 3i 7085 7 43 9 7793 8i48 85o3 8858 2207 2558 2910 3261 36i3 2265 2617 2968 3320 3672 3965 4024 43i8 4670 5o23 53 7 6 5 7 2 9 43 77 4729 5o82 5435 5 7 88 10.379213 9272 6o83|6i42 6436J6495 6790 6849 7144 7203 749817557 7853 7912 82078266 85628621 8917 8976 2324 2675 3027 3379 3 7 3i 4o83 4435 4788 5i4i 5494 5847 6200 2382 2734 3o85 343 7 2441 2792 3i44 3496 3 7 89 , 384S 4i42 4494 4847 5200 5553 5906 6259 655466i3 690816967 7262 7321 7616 7675 7971 8o3o 9 568 9924 10.380280 o636 0992 1 348 1705 2061 2418 io.38277 1 6 3i33 3491 3849 4207 4565 9627 9983 0339 0695 10S1 1407 1764 2121 2478 2835 3i 9 3 355o 3908 4266 4625 50" 1 40" 30" Co-tangent of 23 Degrees. 33i 9687 ..42 0398 0754 mo 1467 1824 2180 538 2895 3252 36io 3 9 68 4326 4684 4923U983 5o43 5282^342 5402 564i J5701 5761 6000.6060,6120 10. 386359,6419 6479 6719^7796839 707971397199 743974997559 7799 7 8 59 79 x 9 8159 8219/8279 852o ! 858o'864o 888o|S 9 4i 9001 9241I9302 9362 9603 9663 9723 io.389964 ( ..24|..85 io.39o326|o386|o446 068807480808 1050^1101170 1412 1472 i533 I775ji835 1895 213721982258 25oo[256r262i 2863 2924 2985 3227I3287I3348 8325 8680 9o35 9390 9746 102 0457 0814 1 1 70 i5 2 6 i883 2240 2597 2 9 54 33i2 3670 8384 8 7 3 9 9094 945o 9805 .161 4200 4553 4906 5 2 58 56i2 5965 63i8 6672 7026 7380 7734 8089 8444 8799 9i54 9509 9864 .220 0517 0576 0873 0932 1229 1289 i586,i645 1943 2002 2299 2359 2657|2 7 i6 3oi4|3o74 3372j343i 3729 3789 4028I4087 Ui47 4386 4445l45o5]a5 4744 48o4 4864 24 5l03|5l62 5222 23 546i 552i|558i 22 582o588o594oJ2i 6180 6240,6299 20 6539 6599:6659' 19 16899 6959I7019 18 ! 7 25 9 7319:7379 17 7619 767917739 16 79798039:8099 1 5 83998460 14 8760882013 9121 9181 12 9482 9542' 1 1 9844(9904 IO o5j.265 8339 8700 9061 9422 97 83 .145 o5o7 0567 0627 0869,0929 0989 ji23i 1291:1352 ' 1 593 ( 1 G54i 1 714 [1956 2016 2077 2 3 1 9 2379 244o '2682|2742|28o3 |3o45,3io6 3i66 '34093469 353o 60" Co-tangent of 22 Dejrrces. -: s 7. V I'ait 1" 2" 3" 4" 5" 6" 7" 8" 9" 6 12 17 23 29 35 10 4fi :>1 ,, .( 1" 2" 3" 4" .V 6" 7" 8" 9" 1!,rI $ 6 12 18 21 30 30 42 48 54 D2 Logarithmic Sines. s Sine of 68 Degrees. a i Sine of 69 Degrees. ' 0" 10" | 20" 1 30" | 40" 50" 0" 10" 20" 30" 40- 50" o 9.9C7166 7174I7183 7191 7200 7208 5 9 9 970152 0160 0168 0176 0184 0192 59 I 7217 7225 7234 7242j725 1 7 25 9 58 1 0200 0208 0216 022^ 0233 024l 58 2 7268 7276 7285 7293 ,7302 73lO 57 2 0249 0257 0265 0273 0281 0289 57 3 7 3i 9 7327 7336 7344 7353 7 36i 56 3 0297 o3o5 o3i3 o32i 0329 o337 56 4 7 3 7 o 737873877395 74o4 7412 55 4 o345 o353 o36i 037c 0378 o36 53 5 7421 7429 74377446 7454 7463 54 5 0394 0402 o4io 0418 0426 o434 54 7471 7 48o 7488 7497 75o5 75i4 53 6 o44^ o45o o458 o466 0474 0482 53 7 7522 7 53i 7539 7547 7 556 7564 52 7 0490 0498 o5o6 o5il o522 o53o 5a 8 7 5 7 3 7 58i 7590*7598 7607 7615 5i 8 o538 o546 o554 o562 0570 0578 5i 9 7624 7632 76407649 7657 7666 5o 9 o58G 0594 o6o3 0611 0619 0627 5o 10 9.967674 76837691J7699 7708 7716 49 10 9.970635 o643 o65i 0659 0667 0675 4 9 ii 7725 773377427750 7758 7767 48 11 o683 0691 0699 0707 07l5 07?3 48 12 777 5 7784 77927801 7809 7817 47 12 0731 o 7 3 9 0747 0755 0763 0771 4? i3 7826 783478437851 7 85 9 7868 46 i3 0779 0787 o 79 5 o8o3 08ll 0819 46 i4 7876 78857893 7901 7935 7943 7952 7910 7918 45 i4 0827 o835 0842 o85o o858 0866 45 i5 7927 7960 7969 44 i5 0874 0882 0890 0898 0906 0914 44 16 7977 7985 79948002 801 1 8019 43 16 0922 0930 0938 0946 0954 0962 43 17 8027 8o36 8o44 8o53 8061 8069 42 17 0970 0978 0986 0994 1002 IOIO 4a 18 8078 808680948103 8111 8120 4i 18 1018 1026 io34 Io42 io5o io58 4i J 9 8128 8i368i458i53 8161 8170 4o x 9 1066 1073 1081 I089 1097 no5 4o 20 9.968178 8i87 I 8iq5,82o3 8212 8220 39 20 9.971113 1121 1129 n3 7 n45 n53 39 21 82-28 823782458253 8262 8270 38 21 1161 1 1 69 1177 n85 1 193 1200 38 22 8278 82878295,8303 833 7 83458354 83i2 8320 37 22 1208 1216 1224 1232 1240 1248 37 23 8329 8362 8370 36 23 1256 1264 1272 1280 1288 1296 36 24 83 7 9 838 7 '8395|84o4 84i2 8420 35 =4 i3o3 1 3i 1 1319 1327 i335 i343 35 25 8429 8437 84458454 8462 8470 34 25 1 35 1 ]i 359 i36 7 i3 7 5 i383 1390 34 26 8479 8487 8495:85o3 85i2 852o 33 26 1 3 9 8 i4o6 i4i4 1422 i43o i438 33 27 8528 853 7 85458553 8562 8570 32 27 1 446 i454 1462 i46 9 1477 i486 32 28 85 7 8 858785958603 8612 8620 3i 28 1493 i5oi 1 509 i5i 7 i5 2 5 i532 3-1 29 8628 8636 8645 8653 8661 8670 3o 29 i54o 1 548 i556 1 564 1572 i58o 3o 3c 9,968678 868686948703 87 1 1 8719 29 3o 9.971588 1595 i6o3 1611 1619 1627 29 3 1 8728 873687448752 8761 8769 28 3i i635 i643 i65i i658 1666 1674 28 3a 8777 8786879418802 8810 8819 27 32 1682 1690 1698 1706 i 7 i3 1721 27 33 8827 8835 8844 8852 8860 8868 26 33 1729 i 7 3 7 1745 i 7 53 1761 176826 34 8877 8885 88 9 3 8901 8910 891825 34 1776 1784 1792 1800 1808 i8i5 25 35 8926 893489438951 8 9 5 9 8967 24 35 1823 i83i i83 9 1847 i855 1862 24 36 8976 8984 8992 9000 9009 9017 23 36 1870 1878 1886 1894 1902 1909 23 37 9025 9o33 9042 9050 9058J9066 22 3 7 1917 1925 1933 1941 1949 1956 22 38 9 o 7 5 9083 9091 9099 9108 9116 21 38 1964 1972 1980 1988 i 99 5 2003 21 3 9 9124 9132 9141 9149 9i57|9i65 20 39 2011 2019 2027 2o34 2042 2o5o 20 4o 9.969173 9182 9190 9198 9206 9215 X 9 4o 9.972058 2066 2073 2081 2089 2097 l 9 4i 9223 9231 9239 9247 9256(9264 18 4i 2105 2112 2120 2128 2i36 2l44 18 42 9272 9280 9288 9297 93o5 93i3 17 42 2l5l. 2159 2167 2175 2i83 2190 17 43 9321 93299338 9346 9354 9362 l6 43 2198 2206 2214 2221 2229 2237 16 44 9 3 7 o 93799387 9395 9403941 1 i5 44 2245 2253 2260 2268 2276 2284 i5 '45 9420 9428 9436 9444 9452 9461 i4 45 2291 2299 2307 23i5 2322 2330 i4 46 9469 94779485 9493 95oi 9510 i3 46 2338 2346 2354 236i 2369 2377 i3 4 7 9 5i8 9526 9034 9542 955o 9559 12 4? 2385 2392 2400 2408 24l6 2423 12 48 9 56 7 95 7 5 9583 9 5 9 i 9599 9608 11 48 243i 2439 2447 2454 2462 2470 1 1 49 9616 9624 9632 9640 9648 9657 10 49 2478 2485 2493 25oi 25oS 25i6 10 5o 9 .969665 96739681 9689 9 6 97 | 97 5 9 5o 9.972524 2532 2539 2547 25552563 9 5i 9714 9722 9730 9738 9746^754 8 5i 2570 2578 2586 2593 2601 2609 8 52 9762 9771 9779 9787 9795 9803 7 52 2617 2624 2632 2640 26482655 7 53 9811 9819 9828 9 836 98449862 6 53 2663 2671 2678 2686 2694I270I 6 54 986098689876 9884 9893 9901 5 54 2709 2717 2725 2732 2740J2748 5 55 99099917,9925 9933 9941W9 4 55 2755 2763 2771 2778 2786 2794 4 56 995799669974 9982 99909998 3 56 2802.2809 2817 2825 28322840 3 57 9 .9700060014 0022 oo3o oo38 0047 2 57 28482855 28632871 28782886 2 58 oo55 oo63 0071 0079 0087 0095 1 58 2894 2901 2909291729242932 I j 5 9 oio3 | oni'oii9oi270i36oi44 5 9 2940 29472955 2963 2970 2978 j >'' | 50" ; 40" | 30" j 20" 10" 8 1 1 60" j 50" | 40" 30" 1 20" 10" C Co-sine of 21 Degrees. Co-sine of 20 Degrees. P. p . < 1" 2" 3" 4" 5" 6" 7" 8" 9" || r3 "> 1 22345677 il r * (1 2 ,; 3" 4" 5" 6" 7" 8" 9" tar Ml22 3 45 6fi7 . ^ LiOGAKlTHMIC TANGENTS. 93 9 10 1 1 12 i3 i4 i5 r6 7 18 '9 20 I I 31 22 23 24 25 26 27 28 29 3o 32; 33 34 35 36 '7 > 3 9 4o 4i 4 a 4"> 44 45 4'> 4 7 4* 49 Tansrent of 68 Decrees. .3935901365113712 3g54 4oi5 4076 43I84379I4440 4683 4743;48o4 5o47 54i2 5 777 6142 6507 6873 .397239 7605 7971 8337 5 1 08 5169 54735533 5838 5898 62o3;6264 656816629 69346995 73oo 7361 7666 7727 80328093 3772J3833|3894|5 9 4i36l4i97 4258 58 45oo 456i 4622 57 4865 4926 4986 56 5229 529o'535i 55 rol ? 40" I 50" 8399l846o!852i 8582 8643 87o4|8765|8826|8888|8949 9010 9071 9132 9194 9255 9316 9377 9438.9500 9561 9622 9683 9744 9806 9867 9928 .4001 73o235 0296 o54i 0602 0664 .400909 0971 io32 1093 1 155 1216 1278 1S39 1 4oo 1462 1 523 ; 1 585 i646 1 707J 1769 i83o 1892! i 9 53 20i5 2076;2i38i2i99'226i 2322 2 384 ! 2445'25o7 2 568!263o|26 9 i 55 9 4 5655;5 7 i6 5959 6020^6081 632516385,6446 6690 6751,6812 7o56 71 1 7 7178J50 7422 7483,7544 49 7788:7849 7910J48 8i54,82i5;82 7 6 47 46 45 44 43 U 4i 4o 3 9 38 '7 3.6 35 34 33 32 3i 3o 29 9989 . .5i 035710419 o48o 072507870848 2999 3o6i 336 9 !343o 3739J3800 4109 4170 4479J454i 4850U911 5220 5282 28 5591 5653127 5962J6024 26 2753[ 2 3i5, 28762938 3122,3184)3246 3307 3492 3554 ! 36i5 3677 3862 3924I3985 4047 4232 4s94 4356 44i7 .4o46o2J4664'4726i4788 4973 5o35: 5097 5 1 58 5344;54o6 5468 5529 5715)5777 5839 5901 6086 614862 10 6272|6334 : 63 9 6 2 5 6458j652o|6582 6644 6706 6768 24 6829:6891^9537015 7077 7139 23 72oi!7263,7326|7388|745oJ75i2 22 757417636:7698 7760 7822I7884 21 7946:800818070 8 1 32 8 195'8257 20 .4o83i 9 |838i 8443 85o5 856 7 ! 863o 19 8692,875488168878894019003 18 9065:9 1 279 1 89 9252 931 4] 9376 17 9438i 950 1 9563,9625 9687 9750 16 9812 987419937 9999 . .6l|.I23 i 5 .410186 o248 l o3iojo373 o435 0498 i4 o56o 06220635 o747p8o9'o872 1 3 0934 0997, 1 o5(; 1 122 1 184 124G 12 i3o9'i37i]i434 1 684 1746 1809 1496 i559 1 1 6--. 1 18711193411996 434 24972559262226842747 28io[2872j2935J299 7 '3o6o!3i23 5o : io.4:2o59'2i2i 2184,2246,2309 2371 5 1 52 53 54 55 56 5 7 58 5 9 3 1 85 356 1 3 9 38 00 3248 33i i 3373 3436 3499 3624 368 7 3749'33i2 3875 4ooo'4o63 , 4i26 , 4i8 9 l 425i 43i4 4377 ! 444o|45o2'4565 4628 4691 14754*48 1 7 I 4879 < 4942 5oo5 5o68 5i3i 5194 5256 53ig 5382 ''445 55o8j557i] 5634 5697 5760 30" ; SV r ~ 10" Co-tangent of 21 Degrees. P. Part 2 ; ' 3" 4" 5" 0" 7" 8" 9" 12 10 25 31 37 43 49 56 Tangent of 69 Decrees. 20" 40" I SO" io.4i5823 6200 6578 695617020 73357398 77*4 7777 5886j5 9 48 62636326 664i 6704 7083 8093 8472 885i 9231 10.419611 9991 10.420371 8i56 8535 8914 9294 9674 ..54 o435 0752 0816 u33 i5i4 1896 2277 2659 3o4i 10.42.3424 3807 4190 1197 i5 7 8 i 9 5 9 234l 2723 3io5 3488 3870 4253 4573146374701 4956j5o2o:5o84 534o 54o4 5468 572457885852 6108 6172 6236 6493 6557|662i 7461 ?84o 8219 85 9 8 8978 9358 97 38 .118 0498 0879 1260 1641 2023 24o5 2787 3169 355; 3934 43i 7 6011(6074 6137 638 9 !e452 65i5 676 7 |683o | 68 9 3 714617209 7272 7524 7587I7650 7903 7966,8029 828283458409 866! S 7 a5 8788 9041 9421 9801 181 o56 2 9104 9168 9484,9547 9864,9928 .245j.3o8 0625,0689 094311006 1070 i324 i387ji45i 1705 1769 i832 2o86l2l5o 22l4 246825323596 285o 2914 2978 3233 3296 336o 10.4 6877 27262 7 648 8o33 8419 6941 7 32 7 7712 8097 8483 /O06 7 3 9 ! 7776 36i5 3998 438i 4764 5i48 5532 5916 7070 7455 7840 81628226 854886i 8805886989348998 3679:3743 4062 4126 4445'45o 9 48284392 5212^276 5596,5660 59S0 6o44 63ooJ6364|642 9 6685 6 7 49,68i3 7134719 8 7519^583 7905:7969 82908355 86768741 9062 9127 944995i3 9836 9900 .223:. 287 0610 0674 0997,1062 i385!i45o i 77 3|i838 2 itii 2226 255o,26i5 2939'3oo4 3328,3393 9384 9771 .i58 o545 0933 1 320 9191 9256 9320 95789642 9707 9965 . .29 . .94 io.43o352 o4i6 o48i 073908030868 io.43i 127 1 191 1256 i5i4 1579 1644,1708 1 902 1 1 967 2032 2097 2291 2356 2420 2485 2680 2 744' 2809' 2874 3o68 3i333i98:3263 3458 3522'358 7 j3652 3717^782 3847 ^912,3977 4o42 4237 4302J4367.4432 4627 4692J47574822 io.435oi7 5082 5i47 5212 5407 547315538,5603 5798 5863:5929 5994 6189 6254 ! 632o 6385J645o G5i5 658i 6646!67ii'6776,6342 6907 6972 703717103 JIG'S 7233 7299 7364 74297495,7560, 7625 7691 7756 7822 7887 7952 8018 8o83 8149,8214 82798345 B4io84 7 6 854 1 8607 8672 87388803 8869 4107,4172 4497|4562 4837495: 5277 53 ^ ; 5663 5733 6o5(; 6124 I "" Co-tangent of 20 Degrees. 5o 5 b 5 7 56 55 54 53 5 a 5i 5o 49 48 47 46 45 44 43 42 4i 4o >9 38 >1 36 35 34 33 3a 3i 3o ., . ( I" 2" 3" 1" 5" 6" 7" 8" 9" j lllU ) G 13 19 26 32 39 45 51 58 94 I .OGARITHMIC SlNES. A SB Sine of 70 Degrees. (3 Sine of 7 1 Degrees. 5 9 0" 10" 20" 30" 40" 50" " 10" 20" 30" 40" 50" o 9.972986 2992 3ooi 3009 3oi6 3024 5o O 9.975670 56 77 5685 5692 5699 5706 i 3o32 3o39 3o47 3o55 3062 3070 58 I 5 7 i4 5721 5728 5 7 35 5743 575o 58 2 3078 3o85 3093 3ioi 3io8 3n6 5? 2 5 7 5 7 5 7 64 5771 5779 5 7 86 5 79 3 57 3 3124 3i3i 3 1 39 3i46 3i54 3162 56 3 58oo 58o8 58i5 5822 5829 583 7 56 4 3169 3i 77 3i85 3192 3200 3208 55 4 5844 585i 5858 5865 58 7 3 588o 55 5 32i5 3223 323o 3238 3246 3 2 53 54 5 588 7 58 9 4 5901 5909 5916 5923 54 6 3261 3269 3276 3 2 84 3291 3299 53 5930 5 9 38 5945(5952 5 9 5 9 5966 53 7 3307 33i4 3322 333o 3337 3345 52 7 5 97 4 5 9 8i 5988 5995 6002 6010 52 8 3352 336o 3368 33 7 5 3383 3390 5i 8 6017 6024 6o3i 6o38 6o46 6o53 5i 9 3398 34o6 34i3 3421 3428J3436 5o 9 6060 6067 6074,6081 6089 6096 5o IO 9.973444 345i 3459 3466 34743482 4 9 10 9.976103 6110 6117 6i25 6i32 6139 4 9 ii 3489 3497 35o4 35i2 35i9 3527 43 11 6i46 6i53 6160 6168 6i 7 5 6182 48 12 3535 3542 355o 355 7 3565 3572 47 12 6189 6196 6203 6211 6218 6225 47 i3 358o 3588 35g5 36o3 36io 36i8 46 i3 6232 6239 6246 6254 6261 6268 46 i4 3625 3633 364i 3648 3656 3663 45 i4 6275 6282 6289 6296 63o4 63n 45 i5 36 7 i 36 7 8 3686 3694 3701 3709 44 i5 63i8 6325 6332 633g 634 7 6354 44 16 3 7 i6 3724 3 7 3i 3 7 3 9 3746 3 7 54 43 16 636i 6368 63 7 5 6382 638 9 6396 43 *7 3761 3769 37773784 3 79 2 3 799 42 J 7 64o4 64n 64i8 64256432 6439 42 18 38o 7 38i4 3822,3829 383 7 3844 4i 18 6446 6454 646 1 64686475 6482 4 1 x 9 3852 385g 3867J38 7 5 3882 3890 4o J 9 6489 6496 65o3 65io65i8 6525 4o 20 9,973897 3905 3912 3920 3927 3 9 35 3 9 20 9.976532 653 9 6546 6553656o 656 7 39 21 3942 3950 39573965 3 97 2 3980 38 21 65 7 4 6582 6589 6596 66o3 6610 38 22 3987 3995 4o02 4oi.O 4017 4025 37 22 6617 6624 663i 6638 6646 6653 3 7 23 4o32 4o4o 4047 4o55 4062 4070 36 23 6660 6667 66 7 4 6681 6688 66 9 5 36 24 4077 4o85 4092^100 4107U115 35 24 6702 6709 6716 6723 6731 6 7 38 35 25 4l22 4l3o 4137U145 4i52 4160 34 25 6 7 45 6752 6 7 5 9 6766 6773 6780 34 26 4167 4i75 4i82 l 4i9o 4197 42o5 33 26 6787 6794 6801 68o868i5 6823 33 2 7 4212 4220 42274235 4242 425o 32 27 683o 683 7 6844 685i|6858 686f 32 28 4257 4264 4272,4279 4287 4294 3i 28 6872 6879 6886 689316900 6907 3i 29 43o2 4309 43174324 43324339 3o 29 6914 6921 6928 69356942 6950 3o 3o 9.974347 4354 436i4369 43 7 0;4384 29 3o 9.976957 6964 6971 69786985 6992 29 3: 4391 4399 44o6 44i4 4421 4428 ^3 3i 6999 7006 7013 7020 7027 7034 28 32 4436 4443 445 1 4458 4466 4473 27 32 7041 7048 7o55 7062 7069 7076 27 33 448i 4488 4495 45o3 45io 45 1 8 26 33 7083 7090 7097 7104 7111 7118 26 34 4525 4533 454o'4547 4555 4562 25 34 7125 7i32 7i3g 7146 7i53 7160 25 35 4570 45 77 45854592 45 9 9 4607 24 35 7167 7174 7181 7188 7195 7202 24 36 46i4 4622 4629 4636 4644 465i 23 36 7209 7216 7223 7230 7237 7244 23 37 465 9 4666 46744681 46884696 4733 4740 2 2 3? 725i 7 258 7265 7272 7279 7286 22 38 4703 4711 47184725 21 38 7293 7300 7307 73 14 7321 732821 3 9 4748 4755 4762 477 4777 4784 20 3 9 7335 7342 7349 7 356 7 363 7370 20 4o 9.974792 4799 48o7'48i4 4821 4829 x 9 4o 9.977377 7384 7 3 v i 7398 74o5 7412 J 9 4i 4836 4844 485i 4858 4866 48 7 3 18 4i 7419 7426 7433 744o 7 44 7 7454 18 42 488o 4888 48 9 5 4903 4910 4917 17 42 746i 7 468 7475 7482 7489 7496 17 43 4925 4932 4939 4947495414961 16 43 75o3 75io 7517 7 524 753o 7 53 7 16 44 4969 4976 4984 4991 4998 5oo6 i5 44 7544 7 55i 7558 7565 7572 7 5 79, i5 45 5oi3 5O20 5o28 5o35 ; 5o42 5o5o i4 45 7586 7 5 9 3 7600 7607 7614 7621 i4 46 5o57 5o64 5072 5079 5o86 5094 i3 46 7628 7 635 7642 7 648 7 655 7662 i3 47 5ioi 5io8 5i 16 5i23|5i3o 5i38 12 47 7669 7676 7683 769017697 7704 12 48 5i45 5i52 516015167 5174 5182 11 48 7711 7718 7725 77327739 77 45 11 49 5189 5196 5204 52II 52l8 5226 10 49 77 52 7759 7766 7773 7780 7787 10 5o 9.975233 524o 5248 5255 5262 5270 9 5o 9.977794 7801 7808 7815 7821 7828 9 5i 5277 5284 5292 5299 5 3o6 53i3 8 5i 7 835 78427849 78567863 7870 8 52 532i 53 2 8 5335 5343 535o 5357 7 52 7877 78847890 7897 7904 7911 7 53 5365 53 7 2 53 7 9'5386 5394 54oi 6 53 79 l8 79257932 79397946 79 52 6 54 54o8 54i6 5423 543o5437 5445 5 54 79 5 9 79667973 7980,7987 7994 5 55 5452 5409 5467 5474 ! 548i 5488 4 55 8001 8007J8014 8021 8028 8o35 4 ^ 56 5496 55o3 55io 55iS;55 2 5 5532 3 56 8042 8o49'8o56i8o62;8o69 8076 3 5 7 5539 5547 5554 556i ! 5568 5576 2 57 8o83 8o9o!8o97|8io4'8i io|8i 17 2 53 5583 5590 55 9 8 56o556i2 5619 1 58 8124 8i3i 8i38;8i45 8i52 8i58 1 5 9 562 7 j5634 564i 5648 5656 5663 5 9 8i65 8i72;8i79;8i86 8193J8199 60" | 50" 40" 30" | 20" | 10" | c 60" 50" | 40" | 30" j 20" | 10" Co-sine of 19 Degrees. Co-sine of 18 Degrees. P. C 1" 0" 3" 4" 5" G" 7" 8" 9" 1 lail \ 1 1 2 3 4 4 5 6 7 p p .< 1'-' 2" 3" 4'' 5" C" 7" 8" 9" j lart^ x 1 2 3 4 4 5 6 fi Logarithmic Tangents. 95 Tangent of 70 Degrees. 10" I 20" 1 30" I 40" I 50" Tangent of 7 1 Degrees. 30" 80 .438934;9000 932719393 9721 44oi 1 5 0509 0903 1297 1692 2087 483 .442879 3275 3671 4067 4464 4861 5259 5656 6o54 6452 .44685i 725o 7649 8o48 9786 0180 0574 0969 10 39 3o|io 3i 32 33 34 35 36 3 7 38 3 9 4o 4 1 4 a 43 44 4 r . 46 47 48 49 5o 5i 53 54 55 56 5 7 r >- 5 9 1 363 i 7 58 2i53 2549 2945 334i 3737 4i33 453o 4927 5325 5722 6120 6519 6917 7 3i6 77i 5 8n5 8181 8448J85i4!858i 8847891418981 92489314 9381 9648 9715 9782 45oo49 01 16 oi83 o45o o5i7|o584 45o85i 09180985 1253 1320 1387 j.655 1722 1789 2o57j2i24 2191 2460:252712594 9065 9 458 9802 0246 o64o io34 1429 1824 2219 26i5 3oii 3407 38o3 4200 45 9 6 4994 5391 5 7 8 9 6187 6585 6984 7383 7782 9i3i {9196 9262 9524 9590 9655 99I8J9983' 49 o3i2 0377 o443 070610771 0837 IIOOII66 1232 l495 l56ll627 189O I956'2022 2285 235i 2417 2681 2747(2813 3i43|3209 3539 36o5 39354001 4332I4398 4729)4795 5i26 5192 5524j559o 592115988 6a53J632o6386 665267186784 7o5o 71 17 7183 3o 77 34 7 3 3869 4266 4663 5o6o 545 7 5855 7449 7848 8248 8647 9048 2862 3265 3669 4072 4476 .454881 5285 5690 6095 65oi 2997 34oo 38o3 4207 46i 1 5oi5 5420 58 2 5 2929 3333 3736 4i4o 4544 4948 5353 5 7 58 6i63|623o 6568:6636 6906J6974J7042 731273807448 77i9!7786|7854 8125,819318261 8532 86008668 458939 9007 9075 934794i5jg483 9755 9823 9891 46oi63 | o23i | o299 o57iioC3>) 0707 0980,104* 1 1 1 6 i38g i457i525 ' 1798 1867I1935 2208 2276 2345 7516,7582 7915 7981 83i4838i 8714,8781 911419181 9448J95i5J958i 984899159982 0249'o3i6:o383 o65i 0717 078 io52 i454 i856 2258 2661 3o64 346 7 38 7 i 4274 46 7 8j4 7 46 5o83i5i5o 548815555 1 1 19 l52I 1923 2325 2728 3i3i 3534 3938|4oo5 4342 4409 .463o28j3o97,3i65j3233 3439l35o7;3576 3644 1186 1 588 1990 2392 2 79 5 3198 36o2 | 22 21 48i3l2o 5218J19 5623ii8 5893J59606028 17 6298J6365 6433 16 6700,677: 6839^5 7io9i7 I 77|7 2 45Ji4 75 1 5'7583J765i i3 79 22 i799 ! 8o5 7|i2 8329;83 97 ! 8464 11 87368804 8872 10 9i43 921 1 J9279 9 10 10, 11 12 i3 i4 i5 16J 17 10. 385o 3918,3987 4261 4329U398 4672 U741 4809 5o84|5i53 522i 5496|5565J5633 590815977 6o46 6321I6390 64596528 6734 68o3'6872 ! 694i 7216J7285J7354 763017699J7768 8o44 3ii3<8i82 4o55 4466 48 7 8 5290 5702 6n5 33o2 3370 3 7 i3 3 7 8i 467147 756i 7975 838 9 88o4 9219 9634 470049 o465 0881 471298 1715 2l32 2549 2967 3385 38o3 4222 464i 5o6o 47548o 5900 63ao 6741 7162 84588527 88738942 92889357 9703 9772 0119 0188 o535io6o4 oo5i 1020 1J67 1437 1784 i854 2201 2271 2619J2688 3o37 3io6 3455 3873 4292 4711 97 901 1 4124 4535 4947 5359 5 77 i 6184 65 9 6 7010 7423 783 7 825i 8666 9080 9426 9496 9842 991 1 0257 0673 1090 i5o6 1923 234o 0327 0743 1 1 59 1576 1993 2410 2758I2828J2897 3i76 324G33i5 3594 3664 3734 4oi3 4082 4i52 4432 485i 45oi 4921 534o 5760 6180 6601 7022 7443 7864 4192 46o4 5oi5 5427 584o 6 2 5 2 6665 7079 7492J49 "48 47 40 45 44 4 '5 4a 4i 4o 39 38 3 7 ".6 35 34 33 3a \ 1 3o 7906 832o 8735 9i5o 9565 9980 0396 A 0812 1228 1645 2062 248o 3524 3 9 43 4362 4781 5i3o'52ooj527o 555o,562o 5690 5970 6o4oi6no 6391 646i|653i 681 1 6881 6952 7232 7302 7373 7 583J7654 7724 7794 800580758146J8216J8286 84278497,856886388708 8849:8920 8990 9061 91 3l|920 IJ2 1 9272 9342 94i3 9483 9554 9624120 45 7 i 4991 54io 583o 625o 6671 7092 75i3 7935 835723 8779 955i 99 5 9 0367 077610844 9619 ..27 o435 9687 .. 9 5 o5o3 0912 l32I 1730 n84 1253 i5<;4 1662 2oo3 2071 2l4 24i3 248i 255o 2618 2686(2755 :823 2891J2960 4i 10 42 4'; 44 45 46 4 7 |4 9 5o !i 53 54 55 56 5 7 58 59 10.479695J9765 9836,990619977 . .47 ,48011810189 0259 o33o 04000471 o542 0612 o683 0754 0824 0895 0966 1 o36i 1 1 07 1 1 78 1248 1 3 19 1390 1 46 1 1 53 1 1602 1673 1814 i885 1956 2027 2098 2239 23l0 238l 2452 2523 2665 2736. 2807I2877 2948 30903161323213303 3729 4i56 4583 5oio 33 7 4 38oo 1744 2169 25 9 4 3019 3445 871 42274298 4654 47^5 5o8i 5i 5a 35i6 3587|3658 ,483 9 43'4oi4 4o85 436 9 444o 45n 47964867U938 5223 5295 5366J5437 55o6 565 1 5722 5794 5865,59 3< 6079 6i5o,6222'6293 6364 6436 650765796650672267936864 693617007 7079 71 ')(. 722a 7293 7365 7436,75o8 75807651 7*a3J 7794 7866 7937 8009J8081 *: : 52| Co-tangent of 1 9 Degrees. Co-taiiirent of 18 Decrees. II P Part J *" K 3 " 4 " : '" ,; " 7 " 8 " {7 J3 20 27 ;)3 10 17 54 P Part J l " 2 " 3 '' 4 " 5 " fi " 7" 8" 9" 49 5f 6J 96 Logarithmic Sines. .a' 3 Sine of 72 Degrees. 2 Sine of 73 Degrees. 0" 10" I 20" | 30" | 40" 50" 0" 1 10" 20'' 30" 40" 50" o 9.978206 821 3 J8220 8227.8234 824l 5 9 O 9.980596(0603 0609 0616 0622 0628 5 9 I 8247 82548261 8268,8275 8282 58 I o635 o64i o648 o654 0661 0667 58 2 8288 8295 83o2 83o 9 '83i6 8322 5 7 2 o6 7 3 0680 0686 0693 0699 0706 57 3 8329 8336 8343;835o'835 7 8363 56 3 0712 0718 0725 0731 o 7 38 0744 56 4 83 7 o837 7 8384!83 9 i 83 97 84o4 55 4 0750 0757 0763 0770 0776 o 7 83 55 5 84n84i8 8425 843i 8438 8445 54 5 0789 o 79 5 0802 0808 o8i5 0821 54 6 8452 845 9 8465 ( 8472 8479 8486 53 6 0827 o834 0840 0847 o853 0859 53 7 849318499 85o685i3852o 852 7 52 7 0866 0872 0878 o885 0891 0898 53 8 8533 854o 8547 8554 856i 8567 5i 8 0904 0910 0917 0923 0930 0936 5i 9 85 7 4 858i 8588 8594 8601 8608 5o 9 0942 0949 0955 0961 0968 0974 5o IO 9.978615 8622862886358642 8649 49 IO 9.980981 0987 0993 1000 1006 1012 4 9 II 8655 86621866986768682 8689 48 11 1019 1025 io3i io38 1044 io5i 48 12 8696 87038709,87168723 8730 47 12 1057 io63 1070 1076 1082 1089 47 i3 8 7 3 7 8743875087578764 8770 46 i3 1095 IIOI 1 108 ni4 II20 1127 46 i4 8777 8784:8791 87978804 8811 45 14 n33 1139 n46 Il52 1 1 58 n65 45 i5 8817 8824 883i'8838 8844 885i 44 i5 1 171 1177 1184 1190 1196 I203 44 16 8858 8865:8871 88 7 8 8885 8892 43 16 1209 I2l5 1222 1228 1234 1241 43 17 8898 89058912 8918,8925 8 9 32 42 17 1247 1253 1260 1266 1272 1279 42 18 8939 8945 8952'8959 8965 8972 4i 18 i-?85 1291 1298 i3o4 i3io i3i 7 4i *9 8979 8986 8992 8999 9006 9012 4o l 9 i323 1329 i336 i342 1 348 i354 4o 20 9.979019 9026 9033 9039 9046 9o53 3 9 20 9.981361 1367 1373 i38o i386 1392 39 21 9059 90669073 9079 9086,9093 38 21 i3 99 i4o5 i4n i4i 7 i424 i43o 38 22 9100 9106-91 13,9120 9126,9133 37 22 i436 i443 1449 1455 i46i i468 3 7 23 9140 9146 9i53 9160 9166 9 i 7 3 36 23 1474 i48o 1487 i493 1499 i5o5 36 24 9180 9186 9193^200 9206 9213 35 24 l5l2 i5i8 i5 2 4 i53i i53 7 1 543 35 25 9220 9227 9233 9240 9247 9253 34 25 1 549 i556 i562 i568 i574 i58i 34 ' 26 9260 9207 927319280 9287 9293 33 26 i58 7 i5 9 3 i5 99 1606 1612 1618 33 1 2 7 9300 93o6 931 3 o320 9326 9 333 32 27 1625 i63i i63 7 1 643 i65o i656 32 28 9340 9346935319360 g366 9 3 7 3 3i 28 1662 1668 i6 7 5 1681 1687 1693 3i 29 9380 9386 939319400 9406 94i3 3o 29 1700 1706 1712 1718 1724 i 7 3i 3o 3o 9.979420 9426 9433 9439 94469453 29 3o 9.981737 1743 1749 i 7 56 1762 1768 29 3i 9459 9466 9473 9479 9486 9492 28 3i i 77 4 1781 1787 i 79 3 1799 1806 28 32 9499 95o6 9512 9519 9526 9532 27 32 1812 1818 1824 i83o 1837 i843 27 33 9539 9545 9552 9559 9565 9572 26 33 1849 i855 1861 1868 1874 1880 26 34 9 5 79 9585 9592 9598 9605 9612 25 34 1886 i8 9 3 1899 1905 1911 1917 25 35 9618 9625 9631 9638 9645|965i 24 35 1924 1930 1936 1942 1948 1955 24 36 9 658 9664 9671 9678 9684 9691 23 36 1961 1967 i 97 3 1979 19S6 1992 23 37 9697 9704 9711 9717 9724 9730 22 37 1998 2004 2010 20l6 2023 2029 22 38 97 3 7 974397509757 97639770 21 38 2o35 204l 2047 2o54 2060 2066 21 3 9 9776 978397909796 9803:9809 20 39 2072 2078 2084 209I 2097 2io3 20 4o 9.979816 9822 9829 9836 9842'9849 r 9 4o 9.982109 2Il5 2122 2128 2l34 2l4o *9 4i 9855 9862986898759881 9888 l8 4i 2i46 2l52 2159 2i65 2171 2177 l8 42 9895 9901 9908,9914 9921,9927 l l 42 2i83 2189 2195 2202 2208 22l4 17 S,3 9934 99409947,9954 9960 9967 16 43 2220 2226 2232 2239 2245 225l 16 44 997 3 9980 9986 9993 9999 ...6 i5 44 2257 2263 2269 2275 2282 2288 i5' 45 9.980012 0019 0026|0032 0039 oo45 i4 45 2294 23oo 23o6 23l2 23i8 2324 i4 46 oo52 oo58 oo65 0071 0078 0084 i3 46 233i 2337 2343 2349 2355 236i i3 47 0091 0097 oio4 OIIO 0117,0123 12 47 2367 2 3 7 3 238o 2386 2392 2398 12 48 oi3o oi36 oi43 0149 oi56 oi63 11 48 24o4 2410 2416 2422 2429 2435 11 4 9 0169 0176 0182 0189 0195 0202 IO 49 244l 2447 2453 2459 2465 2471 10 5< i i5S2|iG57 I957 2032 2IO7 2407)2482)2557 2857 2932)3007(3082 '3307 3383 3457 3533 375* 3833 3908 3984 4209 4285;436oj4435 .324 0764 1204 1645 2086 2527 2969 34n 3854 96 4666i474o 5109 5i83 5553 5627 5997 6071 6442,65i6 68876961 7332 7407 7778,7853 8224,8299^4 867i!s 7 45;i3 9043.91 1819192 12 9490 9938 o386 o834 9565,9640] 1 1 . . 1 3| . . 87' 10 0461 o535 9 0909,0984 8 ia83|i358 1433 7 1732 1807J1882! 6 2l82 2257 2332 2632 2707 3i57 36o8 4059 45io 50" 1 40" :o" 2-S2 3a32 3683 4 1 34 1586 "10" .5i466i 5n3 5565 6018 6471 6925 7 3 79 7833 8288 8 7 43 ,5 19 1 99 9 655 I0.520II I 4736j48i2J488 7 |4962|5o38 5i88|5a64!5339 54i5 5490 564i 6094 654 7 7001 5 7 i6 6169 6623 7076 7455l753o 7909I7985 8364 844o 5792 5867 5943 6245 63206396 6698 677416849 7152J722817303 7606 7682 7758 8061 8137821s 851685928667 8819:8895,8971 9047 9133 9275:9351 942719503 9579 9731 9807 9883 018710263 o34o o568 0644.0720 0797 1025 iioi 1178 ia54 i483 1559 i635 1712 2017 3094J2170 2476^552 2628)2705 3on|3o87 3i64 36s3 4o83 4544 5oo4 5465 5 9 2- 1941 2399 2858 33i 7 10.523777 423 7 4697 5i58 5619 9959I. .35 o4 1 6 0492 0873 0949 i33o|i4o7 1786 1864 2246 3470 3930 4390 485i 53i2 5 77 3 3547 4007 446 7 4927 5388 585o 63i2 6774 7237 7700 8i63 2323 2781 324l 3700 4i6o 4620 5o8i 554a 6oo4 6389;6466 685i 6928 73147391132 7777J7S5AJ3I Co-tangent of 17 Degrees. L ( ill nil -til Ail ell ' J | 7 15 22 20 37 _. 2934 33 9 4 3853 43i3 4774 5235 56 9 6 6o8i]6i58|6235 654366206697 7005 7082 7160 7468 7545 7623 7931 8009 8086 8i63 824:i33i8 io.528395|8472'855o 8627 8705 8783 885918937 9014 9091 9169 9246 9324J9401 J9479 9556 9634I9711 97899866)9944 .21 ..99J.177 io.53o254 o332jo4o9'o487 o565|o642 0720 0798J0875I0953 io3i 1 108 n86ji264,i342Ji4i9 1497 1^75 i653 1731U808 1886 1964 ao4a 2120 2198 2276^353 243i 2509 2587 2665 2743 2821 2899 2977 10. 533o55j3i33|32i 1 3a89 3367 3445 3523 13602 368o 3758,3836 3oi4 3992^070)4149 4227 43o5 4383 446i 454o46i8 4696J4774|4853 4g3i 50095088 5i66 5244 53a3 54oi 5479 5558; 5636i 57 1 5)5793 5872 5950^6028 6107 6i85;6264 6342 6421 6499 657816657 6735 68i4 6892 69717050 712817207 72857364 7443J7522 76007679 10.53775878367915 7994 8073 81 5 1 823o:83o9;8388 8467 854'' -< ; -4 8703^782)8861 894090 1 9 9098 91779256,9335 94 1 4 9493 957a 965i 97309809 9888 9967 ..46 10.540125)0204,0283.0362044^ '"^2 1 06000679,0758 qS "7 09170996 1075 n 54 1234 1 3 1 3j 1 392 1472 i55i|i63o 17m 17^9,1868^948 2027 2106 2i86j2265 a345 a44 5 9 58 '7 56 j5 54 53 5 a 5i 5o 49 48 4 7 46 5 44 43 42 4i 4o 9 38 '7 36 ''.5 ';; :" ; 20" Co-tangent of 16 Degrees. 9" 66 3o 20 ad -7 26 25 24 23 2 2 J I 20 '9 IN 17 l6 i5 4- t3 12 1 1 i" 9 5 7 B 5 4 3 3 I o I". Tart ( 1" 2" 3" } 8 13 23 5" 6" 7" b" 0" 39 4 G 54 62 70 98 Logarithmic Sines. I0> JP Ft, 6 7 8 9 io ii 12 i3 i4 i5 16 17 i l 9 20 21 22 23 24 25 26 27 28 29 3o 3i 32 33 34 35 36 37 38 3 9 4o 4i 42 43 44 45 46 4 7 48 49 5o 5i 53 54 55 5G 5 7 5s 5o Sine of 74 Degrees. 9.982842 2878 2914 2950 2 3022 3o58 3094 3i3o 3i66 983202 3238 3273 3309 3345 338i 34i6 3452 3487 3523 983558 3594 3629 3664 3700 3 7 35 3770 38o5 384o 38 7 5 9.983911 3 9 46 3981 4oi5 4o5o 4o85 4120 4i55 4190 4224 984259 42 9 4 4328 4363 4397 4432 4466 45oo 4535 4569 9.984603 4638 4672 4706 474o 4774 10" 20" I 30"| 40" 50" 2848 28542860 2866 2884j289c ( 2896,2902 2920.2926 2932 956.2962 2968 2992,2998 3oo4 2938 2974 3oio 3028 3o34,3o4o 3o46 3o64j3o7o|3o76 3o82 3ioo!3io63ii2 3n8 3i36 | 3i42|3i48 3i54 3172 3178^184 3190 3208 32l4,3220 3226 3244325o 3256 3279 3285,3291 33i5 332i|3327 335i|3357 3363 398 3434 3469 35o5 354o 35 7 6 3386 3392 3422 3428 3458^3464 3493 3499 352 9 '3535 3564 3570 3599 36o5J36n 3635,3641 3647 367036763682 37053711 3717 3741 3747,3752 377637823788 38n ! 38i 7 3823 3846 3852 3858 3881:38873893 3916 3922 3928 3951 3957 3986 3992 4o2I 4027 4o56 4062 4091 4097 4126 4i32 4i6i 4166J4172 4195 4201 U207 423o 4236 4242 4265 4270 4276 3963 3998 4o33 4o68 4io3 4i3 7 42994305 43344340 43684374 44o3 4409 443 7 |4443 44724477 45o6 45i2 454o|4546 4575 : 458o 4609 46i5 4643 4649 46774683 47124717 4746,4751 478o ! 4785 48o8|48i4 ! 48i9 4842 4848J4853 48764882,4887 49104916.4921 50" 43n 4345 438o 44i4 4449 4483 45i8 4552 4586 4620 4655 4689 4723 47 5 7 4791 4825 485 9 48 9 3 4927 3262 3297 3333 3369 34o4 344o 34 7 5 35n 3546 3582 36i 7 3653 3688 3723 3 7 58 3 79 4 3829 3864 3899 3934 3969 4oo4 4039 4074 4io8 2872 2908 2944 2980 3oi6 3o52 3o88 3l24 3i6o 3196 3232 3268 33o3 333 9 46 33 7 5 45 34io 44 3446 43 348i 42 35i7 3552 3588 3623 3658 3694 3729 3 7 64 3 799 3835 3870 3905 3940 3975 4oio 4o45 4079 4n4 4i43!4i49 4178 4i84 4213I4218 4247 4253 4282U28 4317432 435i|4357 43864391 4420 4426 4455446o 44894495 45234529 45584563 45924598 4626 4632 466o4666 46944700 47294734 47634768 4797 4802 483i4836 48654870 4899 4904 4932 4938 Co-sine of 15 Degrees. p J 1" 2" 3" 4" 5" 6" 7" 8" 9" r.ran, i i 2 2 3 3 4 5 5 Sine of 75 Degrees. .984944 4978 5on 5o45 5o 79 5n3 5i46 5i8o 52i3 5247 .985280 53i4 534 7 538i 54 1 4 5447 548o 55i4 554 7 558o 9856i3 5646 56 79 5712 5 7 45 5 77 8 58n 5843 58 7 6 5909 .985942 5 97 4 6007 6039 6072 6io4 6i3 7 6169 6202 6234 .986266 6299 633i 6363 63 9 5 6427 6459 6491 6523 6555 .986587 6619 665i 6683 6714 6 7 46 6778 6809 684i 6873 10" 4949 4983 5017 5o5i 5o84 5n8 5i52 5i85 5219 5252 5286 5319 5353 5386 5419 5453 5486 5519 5552 5585 56i8 565i 5684 4955 4980 5o20 5o56 5090 5 1 24 5i5 7 5191 5224 5 2 58 5291 53 2 5 5358 5392 5425 5458 5491 5525 5558 5591 5624 565 7 5690 5717 5723 5750 5 7 83 58i6 5849 5882 5gi4 '947 5980 6012 6o45 6077 6110 6142 6i 7 5 6207 6239 6272 63o4 6336 6368 64oi 6433 6465 6497 6529 656i 65 9 3 6624 6656 6688 6720 6 7 5i 6783, 5 7 56 5789 5822 5854 588 7 5920 5 9 5 2 5 9 85 6018 6o5o 6o83 6u5 6i48 6180 6212 6245 6277 6309 6342 63 7 4 64o6 6438 6470 30" 40" 4961 4995 5o28 5o62 5096 5129 5i63 5 1 97 523o 5 2 64 5297 533o 5364 53 97 543o 5464 5497 553o 5563 55 9 6 5629 5662 56 9 5 5 7 28 5 7 6i 5 79 4 5827 586o 58 9 3 5925 5 9 58 5 99 i 6023 6o56 6088 6121 6i53 6186 6218 625o 6282 63i5 634 7 63 79 64n 6443 6475 663o 6661 66 9 3 6725 6757 6788 68i5i6820 65o2 6507 65346539 6566 65 7 i 65986603 68466852 68786883 6635 6G67 6699 6730 6762 6794 6825 6857 6888 4966 5ooo 5o34 5o68 5io 5i35 5169 520 5 2 36 5269 53o3 5336 536 9 54o3 5436 5469 55o2 5536 556 9 56o2 5635 5668 5701 5 7 34 5 7 6 7 58oo 5832 5865 58 9 8 5931 5 9 63 5996 6029 6061 6094 6126 6159 6191 6223 6 2 56 62S8 632o 6352 6384 6417 6449 648 1 65i3 6545 65 77 6608 50" 4972 5oo6 5o4o 5073 5107 5i4i 5i 7 4 5208 5241 5275 53o8 5342 5375 54o8 5442 5475 55o8 554i 55 7 4 5607 564o 56 7 3 5706 5 7 3 9 5 77 2 58o5 5838 58 7 i 5903 5 9 36 5969 6001 6o34 6067 6099 6i32 6164 6196 6229 6261 6293 6325 6358 6390 6422 6454 648G 65i8 655o 6582 66i4 664oj6646 6672J6677 6704 6709 6736 6767 6799 6741 6773 G8o4 683i!G836 68626867 6894)6899 Co-sine of 14 Degrees. 5 9 58 57 56 55 54 53 5 2 5 1 5o 49 48 47 46 45 44 43 42 4i 4o 39 38 37 3G 35 34 33 3'4 3i 3o 29 28 27 26 25 24 23 22 21 20 *9 18 17 16 i5 i4 i3 12 P. Part. 1" 2 ;/ 3" 4" 112 2 5" 6" 7" 8" 9" 3 3 4 4 5 LOGARITHMIC T A N G E N T S. 99 Tangent of 74 Degrees. 10" 20 30" 40" 50" Tangent of 75 Degrees. i 6 7 8 9 10 ii 12 i3 i4 i5 16 J 7 18 *9 20 21 22 23 24 25 26 2 7 28 29 3o 3i 32 13 34 35 36 37 10, 38 3 9 4o 10. 4i 42 43 44 45 46 47 48 49 5o 10 5i 5s 53 54 55 56] 57 10 58| 5 9 >. 5425o4 2583 2981 3o6o 3458i3538 393614016 44i4|4494 4893U973 5372 5452 5852 5932 6332 6412 68i3 .547294 777 5 8257 8740 9223 9706 .550190 0674 1169 1 644 ,552i3o 2616 3l02 2663 3i4o 36i 7 4095 45 7 4 5o53 5532 6012 |649; 689316973 7454 79 36 84i8 8901 9 384 9867 o35i o836 l320 1806 2292 to 7374 7 856 8338 8820 93o3 9787 0270 0755 1240 1725 221 1 2697*2778 3i833265 3589|3670J3752 4077U158 4239 4565J4646I4728 5o53,5i35J52i6 5542 5624 0705 6o32 61 1 3J6195 652i 6603^685 557012 7093 7175 75o3 7584 7666 7994 8076 8i58 8486 8568 865o 8978 9060 9142 9471 9553! 9 635 9964 . .46!. 128 56o457 o54o 0622 0952 io34 1 1 16 i446! 1 529J 161 1 561941 2024 2106 2437I2520 2602 2933|3oi6|3o99 343o'35:2'3595 3927 4010^093 44244507*4590 4922 5oo5!5o88 542i|55o4'5587 5920 6oo3 6086 642oJ65o3'6586 566920700'! 7086 7420J7504I7587 7921 800:') 8088 8423 85o6|85 9 o 8925 9008 9092 9427 o5t 1 (/> ,9930*.. 1 4 ..98 570434 o5i* 0602 0938'l022 1 m~> s if,,/, 1779 186 I J :i Dejnrecs. 9 10 ic 11 12 1 3 i4 1 5 16 17 18 '9 20 21 22 23 25 26 27 28 29 3o 3i 32 33 34 35 36 37 38 39 4o 4 1 4 a 43 44 45 46 4; 48 49 50 n 5 1 52 53 54 Jo 55 56 58 5 9 2116I2200I2285I2369 2706 2790 2876 3212 3 7 I 9 4227 4735 5243 5752 6261 6686,6771 7197 7708 8219 873l 9243 97 56 0270 0784 1299 1814 2329 7282 779 3 83o4 8816 9329 9842 o356 0870 1 384 3297 338i 38o4 3888 43n 4396 4904 54i3 5922 643 1 6941 7452 7963 4819 5328 583 7 6346 6856 7 36 7 7878 8390 8475 89028987 94i4,95oo 9928 ..i3 0441 0527 0956 io4i 1470 i556 190011986 2072 24i5 25oi 2587 284612932 3oi8 3 io4 3362 3449 3535 3621 .5 7 i 9 48 2453 2537 2622 2959 3o44 3128 3466 355o 3635 3973 4o58 4i42 448i 4565 465o 498 9 5o 7 3 5i58 5497 5582 5667 6007 6091 6176 65i6 ,577026 7 53 7 8o48 856o 9073 9 585 ,580099 06 1 3 1127 1642 582i58 2674 3190 3707 3793 388o 4225 43i 1 4397 474348294916 5262 5348 5435 5 7 8i 5868 5 9 54 63oi 6387 6474 6821 6908 6995 587342 7429 7516 786379508037 8385 8472 8559 8908 8995 9082 g43i 9518I9605 9955I. .421. 129 690479 o566 06 54 1004*1091 1 179J1266 1529 1616:1704,1792 2o55*2l42!223o23l8|24o6 2493120 ,59258i!2669*2757'2845 2932 3020 19 3io8 3i96 ! 3284J33 7 2|346o3548 18 37243812 390039884076 4252I4340 44a8'45i6 46o4 4781I4869I4957I5045 5i33 5222 53io 5398 5486 5575 5663 575i 5840*5928 6017 6io5 6193 6282 6370 6459 6547 66366724 2032 2537 3o44 355o 4o58 4565 5073 5582 6091 6601 7112 7622 8i34 8646 9i58 9671 0184 0698 I2l3 1728 2243 2760 3276 3 79 3 43n 4829 5348 5868 638 7 6908 7429 79 5 8472 7081 7603 8124 .217 0741 3636 4i64 4692 3966 4o52 4i 38 448445704657 5oo2 5089*5175 552i 56o8|56 9 4|33 6o4i 6127 6214 32 656i 6648 ! 6 7 34 3i 7i68J7255|3o 7690 7776 29 821^829828 8647J8734|882i 27 9169J92579344 26 9693 9780 9867 25 .3o4 .391 24 0829 0916 23 i354 i44i 22 1879 1967121 68 1 3 6901 6990 707$ 716717356 1 1 7699 77 s s 10 9 8 823l 8 32C 8764 8853 9298 9 38 7 9832 9921 7344 7433 7V22 76IO ,597876 7965 So548i43 8409849885878675 8942 90 i 1 9120 9209 9476 9565 965419743 ,60001001001018910278 o ''67 o456 o545 p635 0724 < )S i 3 0902 0992 1081I1170 1260 1 349! x438 1S28 1617 1706 1 796 t885 1975 2064 2i54 2243 2333 24222512 2601 2691 1278 1 287012960 3o5o 3i 39 I 8 16 2.") 33 41 40 57 9 ' 71 10" Co-tangent of 14 Decrees. V Part i 1" 2" } 9 17 :" 4" 5" 6" 7" 8" 9" 2fi 35 43 52 61 69 78 100 Logarithmic JSines. i Sine of 76 Degrees. 1 Sine of 77 Degrees. 0" 10" 20" 30" 40" 1 50" 0" 10" 20" 1 30" 40" 50" o 9.986904 6909 6915 6920 6925I6930 59 O 9.988724 8729 8734I8739 8743 8 7 48 59 I 6g36 6941 6 9 46 6g5i 6 9 5 7 6962 58 I 8 7 53 8 7 58 87638768 8772' 8777 58 2 6967 6972 6978 6983 6988 6993 57 2 8782 8787 8792 8797 8802 8806 5 7 3 6998 7004 7009 7014 7019 7025 56 3 8811 8816 8821 8826 883i 8835 56 4 7o3o 7o35 7040 7045 7o5i 7o56 55 4 884o 8845 885o8855 8860 8864 55 5 7061 7066 7072 7077 7082 7087 54 5 8869 88 7 4 88798884 8889 8893 54 6 7092 7098 7Io3 7108 7ii3 7118 53 6 8898 8903 89088913 8918 8922 53 7 7124 7129 7134 7 i3 9 7i44 7i5o 52 7 8927 8932 89378942 8 9 46 8 9 5i 5a 8 7 i55 7160 7 i65 7170 7176 7181 5i 8 8 9 56 8961 8966 8970 8976 8980 5i 9 7186 7191 7196 7202 7207 7212 5o 9 8 9 85 8990 8994 8999 9004 9009 5o IO 9.987217 7222 7228 7233 7 238 7243 49 IO 9.989014 9018 9023 9028 900a 9 o38 49 ii 7248 7253 7 25 9 7264 7269 7274 48 11 9042 9047 9052 9 o5 7 9062 9066 48 ) 12 7279 7284 7290 7295 73oo 73o5 47 12 9071 9076 9081 9085 9090 9095 47 i3 7310 7 3i5 732117326 7 33i 7 336 46 i3 9100 9105 9109 91 14 9119 9124 46 i4 734i 7346 7352 7357 7362 7 36 7 45 i4 9128 9i33 9i38 9 i43 9i48 9152 45 i5 7372 7 3 77 7 3837388 7 3 9 3 7 3 9 8 44 i5 9 l5 7 9162 9167 9171 9176 9181 44 16 74o3 7408 74i3 7419 74a4 7429 43 16 9186 9190 919519200 9205 9209 43 *7 7434 7439 7444 7449 7454 7460 42 17 9214 9219 9224 9228 9233 9 238 42 18 7465 7470 7475 7480 7485 7490 4i 18 9243 9247 9252 9 25 7 9262 9266 4i *9 7496 75oi 75o6 7511 7 5i6 7521 4o J 9 9271 9276 9281 9285 9290 9295 4o 20 9.987526 7 53i 7537J7542 7 547 7552 3 9 20 9.989300 93o4 9309 93i4 9318 9323 3q 21 7 55 7 7562 75677572 7 5 77 7 583 38 21 9328 9 333 9337 9342 9347 9352 38 22 7 588 7 5 9 3 7598 7603 7608 7 6i3 37 22 9 356 9361 9366 9 3 7 o 9 3 7 5 9380 37 23 7618 7623 7628 7634 7639 7644 36 23 9385 9389 9394 9 3 99 94o3 9408 36 24 7649 7654 7659 7664 7669 7674 35 24 94i3 9417 9422 9427 9432 9436 35 25 7679 7684 7690 7695 7700 77 o5 34 25 944i 9 446 945o 9 455 9460 9464 34 26 7710 77 i5 7720,7725 77 3o 77 35 33 26 9469 9474 9479 9483 9488 9493 33 27 7740 77 45 77507756 7761 7766 32 27 9497 9502 9 5o 7 95n 95i6 9521 3a 28 7771 7776 77817786 7791 7796 3i 28 9525 953o 9535 9539 9544 9549 3i 29 7801 7806 7811 7816 7821 7826 3o 29 9 553 9 558 9563 9 568 9 5 7 2 9577 3o 3o 9.987832 7 83 7 7842 7847 7 85 2 7 85 7 29 3o 9.989582 9 586 9 5 9 i 9596 9600 9605 29 3i 7862 7867 7872.7877 7882 7887 28 3i 9610 9614 9619 9623I9628 9633 28 32 7892 7897 7902 7907 7912 7917 27 32 9 63 7 9642 9647 965i 9 656 9661 27 33 7922 7927 79 32 79 3 7 7942 7947 26 33 9 665 9670 9 6 7 5 9679 9684 9689 26 34 79 53 79 58 7963 7968 797 3 7978 25 34 9693 9698 97 3 9707 9712 9716 25 35 79 83 7988 7993 7998 8oo3 8008 24 35 9721 9726 97 3o 97 35 9740J9744 24 36 8oi3 8018 80238028 8o33 8o38 23 36 9749 97 53 9758 9763 9767 9772 23 37 8o43 8o48 8o53 8o58 8o63 8068 22 3? 9777 9781 9786 97909795 9800:22 38 8073 8078 8o83 8088 8093 8098 21 38 9804 9809 9814 98189823 9827 21 3 9 8io3 8108 8ii38n88i23 8128 20 39 98329837I9841 9846 985o 9855|2o 4o 9.988133 8i38 8i438i488i53 8i58 J 9 4o 9.989860 9864I9869 9873 9878 9883119 4i 8i63 8168 8i73'Si78|8i83i8i88 18 4i 9887 9892 9896 9901 9906 9910 18 42 8193 8198 8203 8208 8213I8218 17 42 99 i5 99199924 9929 9933 993817 43 8223 822782328237I8242I8247 16 43 9942 9947 9952 9956 9961 9965! 16 44 8252 8 2 5 7 82628267182728277 i5 44 9979974|9979 99849988 999 3 i5 45 8282 8287 8292 8297 83o2 8307 i4 45 9997 ...2 ...6 . . 1 1 . .16 . .20 14 46 83i2 83i 7 8322 l 832 7 8332 8337 i3 46 9.990025 0029 oo34 oo38 oo43 oo48 1 3 47 8342 8346 835i 8356!836i 8366 12 47 0052 0057 0061 0066 0070 0075:12 48 83 7 i 83 7 6 838i 8386 ! 83 9 i 8396 1 1 48 0079 00840088 0093 0098 OI02 II 4 9 84oi 84o6 84ii'84i6 842o 8425 IO 49 0107 OIII 0116 0120 OI25 OI29 IO 5o 9.988430 8435 844o ( 8445 845o 8455 9 5o 9.990134 oi38 oi43 0148 Ol52 0157 9 5i 846o 8465 847084758480 8484 8 5i 0161 0166 0170 0175 0179 OI 84 8 52 8489 8494 8499!85o4 85o9 85i4 7 52 0188 0193 0197 0202 0206 0211 7 53 85i 9 8524 852 9 !8534!8538 8543 6 53 02l5 0220 0225 0229 0234 0238 6 54 8548 8553 8558:85638568 85 7 3 5 54 0243 0247 0252 0256 0261 0265 5 55 85 7 8 8583 858 7 85 9 2!8597 8602 4 55 0270 0274 O279 0283J0288 0292 4 56 8607 8612 8617 8622 i 8626 863i 3 56 0297 o3oi o3o6 o3io o3i5 0319 3 5 7 8636 864i 8646 865i 8656 8661 2 57 o324 o328 o333 o337 o342 o346 2 58 8666 8670 86 7 5 868o8685 8690 1 58 o35i o355 o36o o364 0369 0373 1 5 9 8695 8700 8704 8709 8714 8719 5 9 o378o382|o386 0391 0395 o4oo[ 60" | 50" 40" 30" | 20" 10" a 60" j 50" | 40" 30" | 20" | 10" j Co-sine of 13 Degrees. Co-sine of 12 Degrees. s P. v ,51" 2" 3" 4" 5" 6" 7" 8" 9" lalt \ 1 1 2 2 3 3 4 4 P. (1" 0" 3" 4" 5" G" 7" 8" 9" a >01122 33 4 4 LOQAEITHMIC T A N E N T 3. 101 Tangent of 76 Degrees. 20" 30" 40" 50" Tangent of 77 Degrees. 10" | 20" I 30" 40" 50" 10 10 o I 2 3 4 5 6 7 8 9 10 ii 19 i3 :4 1 5 1 6 '7 1 8 '9 20 IC 21 22 23 24 25 86 -7 sS 2 9 3o 3: 3a 33 34 .6o3229'33iq 3767I3857 43o6 4396 48464936 5386J5477 5927.6017 6469 6559 7101 7644 8187 701 1 7553 8097 608640J8731 9185 9276 97300821 ,610276 0822 1369 1916 2464 3oi3 3562 ,6i4ii2 4663 34o8 3 9 47 4486 5026 556 7 6108 6649 7192 77 34 8278 8822 9367 9912 o458 1004 i55i 0367 0913 i46o 2008 2556 3io5 3654 4204 4755 52i4 53o6 5 7 66 5858j5 9 5o 63i8 64n 65o3 6871 6964 7056 7425 7518 7610 7980 8072 8i64 853486278720 9090 9183 9275 61964697399832 2099 2647 3196 3 7 46 4296 4847 5398 62020310296 0761 o854 1319 1412 1878 2437 2997 3558 0389 0947 i5o5 2064 I97I 253o 2624 3090 3i84 i365i 3745 4ii942i3!43o6 468i4775!4869 ,625244 5338 543i 5807 5901 5995 637i|6465J6559 6936J7030 7124 75oi 7595I7689 80678161I8256 863387288822 9201J9295 9390 9768J9863 9958 ,63o337|o432.o527 ,630906 iooi'io96 1 47G 1671 1666 2047 2i4a 2237 2618127132809 3i9o!3285i338i 3763J385S;3954 t 4336 4432(4527 4910:5006 5ioi 5485|55So , 567C 6060 6 1 56 6252 3498 4o37 45 7 6 5n6 565 7 6198 6740 7282 7825 8368 8913 9457 .3 0549 1095 1642 2190 2739 3288 3837 4388 4g38 5490 6042 65 9 5 7i48 7702 8257 8812 9 368 9925 0482 io4o i5 9 8 2157 2717 3277 3838 44oo 4962 5525 6089 6653 7218 7734 835o 8917 9484 ..53 0622 1191 1761 2332 2904 3476 4o49 4623 3588 4127 4666 5206 5 7 47 6288 683o 7 3 7 2 7915 845 9 9003 9548 94 o64o 1186 1734 2282 2S3o 33 79 3929 4479 5o3o 5582 6i34 6687 7241 779 5 8349 8go5 9461 17 o575 n33 1691 225o 28lO 3371 3932 4494 5o56 5619 6i83 6747 7 3l2 7878 8444 901 1 9 5 79 .147 0716 1286 i85 7 2428 2999 3572 4i45 4718 36 7 8 5o 4217 4756 5296 5837 63 7 8 6920 j 7 463 '8006 855o 9094U9 9639 48 i8547 0731U6 1278I45 1825 44 !23 7 3 43 2922 42 347i 4021 45 7 i 5l22 5674137 622636 6779 35 7333 7887 8442 8997 9554 . no 0668 1226:27 178426 2344J25 2904124 3464|23 4025'22 458 7 2I 5i5o 20 57 1 3j 19 627718J41 684 1 17 42 7407 16 43 7972 i5: 44 |8539|i4il45 9106 i3 4G 9674 12 4; 5i 97i 52 9 3 5 77 2 5868 63486444 242 081 1 i38i 1952 2523 3095 3667 4240 5389 5954 654<> 48 o!|4 9 9 5o 8 5 1 7 52 6 53 5 54 10.636636J67326828 7213 73oq|74o5 7790 7886 7983 8368 8465;856i 8947 9526 10.640107 0687 9043I9140 9623 9720 0203 o3oo 0784,0881 1269J1366 1463 i85i 1948 2046 10.642434 253 1 2629 3oi83u5 36o2 3700 4i8 7 4773 536o 5 9 47 6535 7124 77 i3 io.6483o3 9486 10.650078 0671 1265 i85g 4455 3o5i 3647 10.654245 4843 5442 6042 4285 4871 5458 6o45 6633 7222 7811 8402 32i3 3 797 4383 4969 5555 6i43 6 7 3 1 7320 7910 85oo 899319091 9 5849683 0177 0276 0770 0869 i364i463 1958 2554 3i5o 3747 4344 4943 5542 2o58 2653 3249 3846 4444 5o43 5642 6142I6242 6842 6642 6742 7243 7 344 7444 7845 79468046 844818549 8649 9052:9152 9253 9656197579857 io.66o26f!o362|o463 0867 0968 1069 i473 1674 1676 2081 2689 3298 3907 2182 22-83 2892 35oi 2790 3399 4009 4n 1 45i8 462o 4721 5i2 9 5a3i 5333 5741 5843 5o45 10. 6663546456 6558 69677070 7172 75827684 77^7 8i97'8299J84o2 88138916901^ 9430^532 9635 10.670047 01 5o 0253 0666 0769 0872 I285'i38n 1491 190*') 2008 21 is 6924 75oi 8079 865 7 9237 9816 o3 97 0978 i56o 2i43 2726 33io 38 9 5 448o 5o66 5653 6241 6829 74i8 8008 8599 9190 9782 0374 0968 1 562 2157 2752 3349 3946 4544 5i42 5742 6342 6943 7544 8147 8750 9 354 9958 o564 1 1 70 1777 2385 2 99 3 36o2 4212 4823 ,5435 6047 6660 702017116 7597 7694 8175 8272 87548850 9333 9430 99 i3 0494 1075 i65 7 2240 2823 3407 3992 45 7 8 5i64 5 7 5i 6339 6927 7517 8106 4 9 48 4 7 46 45 44 . . 10 0591 U72J52 1754 5i 2337 5o 2921 35o5 4090 46 7 6 5262 5849 6437143 7026 42 7615 4i ,8205 4o 8697879639 9288938738 9880 9979 37 0473 0S72 36 1067 1166 35 1760 2355 2951 3548 4i45!3o 4743 29 5342128 5942127 6542 26 7 i43 ! 25 7745 24 8348 8951 1661 2256 2852 3448 4o46 4643 5242 5842 6442 7043 7645 8247 885o 9454 9555 . .59 .160 o665 0766 1271 U372 1878 1979 2486[ 2 587 3095 3196 3704 38o6 43i4 44i6 4925 502712 5537 5 G 3 9 ii 6149 6252 10 G7G3.6S65J 9 7274!7377 7479 7889^79., 85o5 8607 >7io 912192249327 9738984119944 o356 o45o|o562 0975 1078 1 181 1595 1698 1801 22l5 2318 2422 P. 1'art < 1" 2" 3" ^9 19 2S 4" 37 5" 6" 7" * U 4G 56 Go 7 1 83 PPart {!'o 20 30 4" 5" fi" 7" 8" 9" 30 40 50 GO 70 80 90 102 L OGARITHMIC ISlNES. s Sine of 78 Degrees. a 2 Sine of 79 Degrees. 0" j 10" | 20" 1 30" | 40" | 50" O'' 10" 20" 30" 40'' 50" 1 . o 9.990404I04090413 o4i8 0422 0427 5 9 9.991947 1 95 1 1955 i 9 5 9 1963 1967 5 9 ' I o43 1 p436|o44o o445 o449 o454 58 I 1971 1975 1979 1983 1987 I992 58 a o458|o462;'o467 0471 0476 o48o 57 2 1996 2000 2004 2008 2012 2016 57 3 o485 0489:0494:0498 o5o3 0507 56 3 2020 2024 2028 2032 2o36 2040 56 4 o5n o5i6 o52o'o525 0529 o534 55 4 2044 2049 2o53 2057 2061 2o65 55 5 o538 o543Jo547|o552 o556 o56o 54 5 2069 2073 2077 2o8l 2085 2089 54 6 o565 0569 0574.0578 o583 0587 53 6 2093 2097 2IOI 2io5 2109 2II3 53 7 0591 059^0600 o6o5 0609 0614 52 7 2118 2122 3126 2i3o 2 1 34 2i38 52 8 0618 0622 0627 o63i o636 o64o 5i 8 2142 2l46 2i5o 2 I 54 2i58 2162 5i 9 o645 o649o653Jo658 0662 0667 5o 9 2166 2I7O 2174 2178 2182 2186 5o IO 9.990671 0675 0680 0684 0689 0693 49 10 9.992190 2194 2198 2202 2206 2210 4 9 :i 0697 0702 0706 071 1 0715 0719 48 11 22l4 22l8 2222 2226 223o 2234 48 12 0724 0728 0733,0737 0741 0746 47 12 2239 2243 2247 225l 2255 2259 47 i3 0750 0755 0759 0763 0768 0772 46 i3 2263 2267 227I 2275 2279 2283 46 i4 0777 0781 0785 0790 0794 0798 45 i4 2287 229I 2295 2299 23o3 2307 45 i5 o8o3 0807 081210816 0820 0825 44 i5 23ll 23i5 2319 2323 2327 233i 44 16 0829 o833'o838o842 0847 o85i 43 16 2335 2339 2343 2347 235i 2355 43 17 o855 086008640868 o8 7 3 0877 42 17 2359 2363 2366 2370 23 7 4 23 7 8 42 18 0882 08860890 0895 0899 0903 4i 18 2382 2386 2390 2394 2398 2402 4i J 9 0908 0912 0916 0921 0925 0929 4o *9 2406 2410 2414 24l8 2422 2426 4o 20 9.990934 09380942 0947 0951 0955 39 20 9.992430 2434 2438 2442 2446 245o 39 21 0960 0964 0969 o 97 3 0977 0982 38 21 2454 2458 2462 2466 2470 2474 38 22 0986 0990 0995 0999 ioo3 1008 37 22 2478 2482 2485 2489 2493 2497 37 23 1012 1016 1021 I025 1029 io33 36 23 25oi 25o5 2509 25i3 2517 2521 36 24 io38 1042 1046 io5i io55 1059 35 24 2525 2529 2533 2537 254i 2545 35 25 1064 1068:1072 1077 1081 io85 34 25 2549 2553 2556 256o 2564 2568 34 26 1090 1094 1098 no3 1107 IIII 33 26 2572 2576 258o 2584 2588 2592 33 27 iii5 1120,1124 1128 n33 n3 7 32 27 2596 2600 2604 2607 2611 26i5 32 28 n4i 1146^150 u54 n58 n63 3i 28 2619 2623 2627 263i 2635 2639 3i 29 1167 1171 1176 1 1 80 1 184 1188 3o 29 2643 2647 265i 2654 2658 2662 3o 3o 9.991193 1197 1201 1206 1210 1214 29 3o 9.992666 2670 2674 2678 2682 2686 29 3i 1218 1223 1227 I23l 1235 1240 28 3i 2690 2693 2697 2701 2705 2709 23 32 1244 1248 1253 1257 1261 1265 27 32 2713 2717 2721 2725 2728 2732 27 33 1270 1274 1278 1282 1287 1291 26 33 2736 2740 2744 2748 2752 2756 26 34 1295 12991304 i3o8 l3l2 i3i6 25 34 2759 2 7 63 2767 2771 2 77 5 2779 25 35 l32I i325 1329 i333 i338 1 342 24 35 2783 2787 2790 2794 2798 2802 24 36 1 346 i35o 1 355 i35 9 i363 1367 23 36 2806 2810 2814 2818 2821 2825 23 3 7 1372 1376 i38o 1 384 i38 9 i3 9 3 22 37 2829 2833 2837 2841 2845 2848 22 38 i3 97 i4oi i4o6 i4io i4i4 i4i8 21 38 2852 2856 2860 2864 2868 2871 21 3 9 1422 1427 i43i i435 i43 9 i444 20 3 9 2875 2879 2883 2887 2891 2895 20 4o 9.991448 1452 i456 i46o i465 1469 19 4o 9.992898 2902 2906 2910 2914 2918 ^9 4i 1473 1477 1482 i486 i4 9 o i494 l8 4i 2921 2925 2929 2933 2937 2941 l8 42 1498 i5o3 1 507 1 5 i'i i5i5 1519 17 42 2944 2948 2952 2956 2960 2963 17 43 i524 i5 2 8 1 532 i536 1 54o 1 545 l6 43 2967 2971 2 97 5 2979 2983 2986 l6 44 1 549 i553 i55 7 i56i i566 1570 i5 44 2990 2994 2998 3002 3oo5 3009 i5 45 i5 7 4 i5 7 8 i582 i586 i5 9 i| i5 9 5 14 45 3oi3 3017 3021 3024 3028 3o32 U 46 1 5 99 i6o3 1607 1612 1616 1620 i3 46 3o36 3o4o 3o43 3o47 3o5i 3o55 i3 47 1624 1628 i632 i63 7 i64i ! i645 12 47 3o59 3o6a 3o66 3070 3074 3078 12 48 1649 i653 1657 1662 1666 1670 1 1 48 3o8i 3o85 3089 3093 3o 97 3 1 00 11 4 9 1674 16781682 1687 1 69 1 i6 9 5 10 49 3io4 3io8 3na 3n5 3119 3i23 IO 5o 9.991699 17031707 1712 1716 1720 9 5o 9.993127 3i3i 3i34 3i38 3i42 3i46 9 5i 1724 1728 1732 i 7 36 i74i' 1745 8 5i 3 1 49 3i53 3i57 3i6i 3i65 3i68 8 52 1749 i 7 53 i 7 5 7 1761 1765; [770 7 52 3172 3i 7 6 3i8o 3i83 3i8 7 3191 7 53 1774 1778 1782 1786 1790 1794 6 53 3195 3198 3202 3206 32IO 32i3 6 54 1799 i8o3 1807 1811 i8i5 1819 5 54 3217 3221 3235 3228 3232 3 2 36 5 55 1823 1827 1 832 i836 i84o ! 1 844 4 55 324o 3243 3247 325i 3255 3258 4 56 1 848 i852 i856 i860 i865 [869 3 56 3262 3266 3270 3273 3277 3281 3 5 7 i8 7 3 1877 1881 i885 1889 i8 9 3 2 5? 3284 3288 329213296 3299 33o3 2 58 1897 1901 1906 1910 1914 1918 1 58 3307 33n 33i4'33i8 3322,3325 I 5 9 1922 1926 1930 1934 i 9 38 1942 5 9 3329 3333 3337!334o| 33443348 60" 50" 1 40" 30" | 20" 10" 60" | 50" j 40" 1 30" | 5J0" | 10" Co-s jne of 11 Degrees. Co-sine of 10 Degrees. S P. Ho ' 1" 3" 4" 5" 6" 7" 8" 9" 1 12 2 3 3 3 4 P. p .(1" 2". 3" 4" 5" G" 7" 8" 9" { 1 12 22 334 MM Logarithmic Tangents. 103 Tangent of 78 Degrees. 10" 20" 30" 40" | '50" Tangent of 79 Degrees. 10" j 20" 30" 40" SO" o io.(J72525J262QJ2733'2836 9 to 1 1 t a i3 i4 i5 iG 17 is *9 2n 2 1 22 -; 24 2 5 2f 27 28 9 3d 3 1 : i 33 34 35 36 37 38 39 4o 4i 42 43 44 45 46 4? 4- 49 5o 5i 5a 53 54 55 56 57 58 5 9 77 3i 835 9 9618 0249 0881 i5i4 2147 3458 4o8i 47o5 5329 5 9 54 658o 7207 7 835 8464 9093 9723 o355 0987 1619 2253 2887 3523 4159 4796 2940 3o43 3562J3666 41854289 480949:3 54335537 60596163 3i47 325i 3354 37693873:3977 439S U497 46oi 5oi7|5i2i 5225 564215746 585o 626716372 6476 6894J6998 7103 7521 7626 81498254 87788883 9408 95i3 10.680039 oi44 0670 0776 i3o3 1408, 1936 2042 257o'2676'2782 32o5 3311I3417 384i 3947J4053 4477 4584T46 9 o 5u5 5221 532815434 5753[586o|5966 6073 6392 J6499J6606 6712 7032I7139 7246 7 353 7673 1 7780! 7887 7994 83i5J8422'8529!8636 8958 9065,9172 9280I9387J9494 96oiJ9709!98i6 9924I. . 3i 1 . 1 38 10 690246J0353I0461. 089 1 10999 1 io 7 i537 i645 1753 2184,2292.2400 283212941 3o49 3481I35903698 4i3i 42394348 4782 48904999 54335542565i 608J6 6195 63o3 673968486957 66856789 7312 7417 7940 8o45 85698674 9198 93o3 98299934 0460 o565 1092I1197 1725 i83o 23592464 2993^099 362 9 3 7 35 42654371 4902 5009 554o 5647 6179 6286 6819 6926 7460 7567 8101 8208 87448851 o568 0676 0784 1214 i322 i43o :86i 1969 2077 25o8 261612724 3i57326533 7 3 38o6 3914 4o23 445645654673 510715216 5325 575958685977 64:26521 663o 706617175 7284 7393! 75o3J 76 12! 7721 78307939 8049,8158 8267J8376 8486'85 9 5 8705188148924903391439252 9362 9471 9581 9691 9800, 99 10 ,700020,0129:0239 o349 0459,0369 06780788:0898 1008 11 18J 1 228 i338i448|i558 1668 1779 1889 1999,2109 2219 233o 244o ; 255o 2O61 2771 2881 2992 3io2J32i3 3323,3434 354413655 398714097142084319 465i 4762I4873J4984 53i6 ! 5427|5538|5649 5983,6o94|62o5 ,63 1 6 6G5.V0761I6S736984 73i8, 7 43o| 7 54i 7653 7987 8099 8211 8322 8658J87698881 8 99 3 *9329 94419553 9 665 IO. 7 I OOO I [oi I 3! 0225 io337 0674I0786J08981IOI I vy 3765 3876 44^9 , 454o 5o95j52o5 5761 5872 6428653 9 7095 7207 7764I7876 84348546 9105I9217 9777 9 88 9 i)44y o562 1 12'i 1235 Co-tanpent of 1 1 Degrees. P. Pa rtJ '" ~" I 11 22 5 I 6" 65 8" 86 10.711348 2023 2699 33 7 6 4o53 4732 54i2 6093 6 77 5 7458 8142 8826 9512 10.720199 0887 1576 2260 2 9 5 7 3649 4342 5o36 5 7 3i 6427 7124 7822 852i 9221 9923 10.730625 1 329 2o33 2 7 3 9 3445 4i53 4862 5572 1460 1573 2i35 22 281 1 2924 3488 36oi 4167 4280 4846 4959 5526 6207 563 9 632o 3072 3 7 64 445 7 5i5i 5847 6889 7002 7572 7686 82568370 8941 9055 96279741 o3i4 0428 1002 1 1 16 1 69 1 238i 1806 2496 3187 38 79 45 7 3 5267 5963 6543 6659 7240 7356 7g388o55 8638 8 7 54 9 455 i5 7 9 338 .4o 0742 1 446 2l5l 2856 563 4271 4980 0860 i563 2268 2974 368i 438 9 5oo8 5690 5809 652o 7232 6283:64oi 6995 71 13 7708 7827 8422 854i 9 l3 7 9= 5 7'9 3 7 6 1 685 236i 3o37 3 7 i4 4393 5072 5752 6434 7116 7799 8484 9169 9 856 o543 I23l 1921 2611 33o2 3995 4688 5383 6079 6 77 5 7473 8171 8871 9 5 7 2 .274 0977 1681 2386 3092 3 799 45o7 5217 5 9 2 7 6639 735i 1798 2473 3i5o 3827 45o6 5i85 5866 654 7 723o 79 i3 85 9 8 9283 9970 o658 1 346 1910P9 2586J58 3a63p7 3940 56 46i 9 55 52 99 54 5979P3 666i!52 73445i 027:5o 8712U9 9398 48 .85 0772 i46i 2o36,2i5i 2726:2841 34I8J3533 4no 4804 5499 6195 1 7 58 9 8288 4226 4920 56i5]3 9 63u 38 7008 37 7706 36 84o535 9io5i34 9689 ! 98o633 391 1094 1798 25o3 7946 8o65 866018780 9496 2l3 0931 i65o 9854:99731 . .93 10.740571 0691 081 1 1290 i4io i53o 2010 2i3o 225o 2731I2851 2971 3453|35 7 3|3694 | 4i76J4297j44i7|4538 49oo5o2i|5i42 : 5263 5626 | 5747j5S68J5989 5o8 3a 121 1 3i igie^o 2621 29 3210I332728 3917 U035J27 46a5 4744)26 5335545325 6046616424 67576876133 7470J7589 22 8i84'83o3 2i 8899 9018:20 960 9734 19 3321.452 18 io5o 1170 1770 1890 370 2490 261 1 3092 38i4 6352|G473 f 65 9 5 70807201 7323 7809 793oi8o52 853 y 866i 8782 927019392 9514 6716 7444 8174 55 1 1 0.750002 0124I0247 0369 3212 333 3935 4o55i3 4659 ! 477V Ia 5384 55o5 11 6110 623i 10 6837 6959] 9 756676S7 82958417 89o4'9026 9148 9636'9758.988o 0736 o858 0980 1 io3 1470 1 5931 1715 i838 2206 2329 2452 2^74 2943;3o66;3i89 ! 33i2 0491 061 3 i225'i348 1961J2083 2697 2820 3435 3558 .V)""! 4 0" I 30" 10* Co-tangent of, 10 Degrees. 7" , p , < 1" 2" 3" 1" 5" 6" 7" 8" lurt $ 12 23 35 47 59 70 82 91 9" 106 104 Logarithmic Sine a. o i 3 4 5 6 7 8 9 10 1 1 12 i3 i4 i5 iG 17 1 8 * 9 20 21 22 2 3 24 25 26 27 28 2 9 3o 3i 3 a 33 34 35 36 3? 38 3 9 4o 4i 42 43 44 45 46 47 48 49 5o 5i 52 53 54 55 56 5? 58 5 9 Sine of 80 Degrees. 9.993351 33 7 4 33 9 6 34i8 344o 3462 3484 35o6 3528 355o 9.993572 35 9 4 36i6 3638 366o 368i 3 7 o3 3 7 25 3 7 46 3 7 68 9. 99 3 7 8 9 38n 3832 3854 38 7 5 38 97 3918 3939 3960 3982 9.994003 4024 4o45 4066 4o8 7 4108 4129 4i5o 4i 7 i 4191 9.994212 4233 4254 42 7 4 4295 43i6 4336 435 7 43 77 43 9 8 9.994418 4438 445 9 44 7 9 4499 4519 454o 456o 458o 46oo 60" 3355 33 77 34oo 3422 3444 3466 3488 35io 3532 3554 35 7 6 35 9 8 3620 364i 3663 3685 3 7 o 7 3 7 28 3 7 5o 3 77 i 3 79 3 38i4 3836 385 7 38 79 3900 3 9 2i 3 9 43 3 9 64 3 9 85 4oo6 402 7 4o48 4069 4090 4i 1 1 4l32 4i53 4i 7 4 4195 4216 4236 425 7 42 7 8 4298 4319 434o 436o 438i 44oi 4421 4442 4462 4482 45o3 4523 4543 4563 4583 46o3 20" 30' 40" 50" 3359 338i 34o3 3426 3448 34 7 o 3492 35i4 3536 3558 358o 36oi 3623 3645 366 7 3689 3 7 io 3 7 3 3363 3385 34o 7 3429 345 1 34 7 3 3495 35i 7 353 9 356i 3583 36o5 362 7 3649 36 7 o 3692 3 7 i4 3 7 35 3 7 53j3 7 5 7 3 77 5,3 779 3 7 9 7 |38oo 38i8|3822 384o3843 386i ! 3864 3882^3886 3904J3907 392513928 3946j395o 3967I3971 398913992 4oio'4oi3 4o3ij4o34 4o52 4o55 4o 7 3 4o 7 6 4094 4o9 7 4ii5'4n8 4i36 ! 4i39 4i5 7 4i6o 4i 7 84i8i 41984202 4219 4223 4240 4243 426IJ4264 4281 4285 43o2 43o5 4322^326 4343 4346 4363 4384 4464 4425 436 7 438 7 44o8 4428 4445|4448 4465 14469 4486J4489 45o6 4509 4526 4546 4566 458 7 46o 7 453o 455o 45 7 o 4590 4610 3366 3389 34n 3433 3455 3477 3499 352i 3543 3565 358 7 3609 363i 3652 36 7 4 3696 3 7 i 7 3 7 3 9 3 7 6i 3782 38o4 3825 3847 3868 3911 3932 3g53 3 97 4 3996 4017 4o38 4059 4o8o 4ioi 4l22 4i43 4i64 4i84 42o5 4226 4247 4267 4288 4309 4329 435o 4370 4391 44n 4432 4452 4472 4492 45i3 4533 4553 45 7 3 45 9 3 !46i3 3370 3392 34i4 3437 345 9 3481 35o3 3525 354 7 3569 3591 36i2 3634 3656 36 7 8 3699 3721 3 7 43 3 7 64 3 7 86 3807 3829 385o 38 7 2 38 9 3 3914 3 9 36 3 9 5 7 3 97 8 3 999 4020 4041 4062 4o83 4io4 4i25 4i46 4167 4i88 4209 423o 425o 4271 4292 43i2 4333 4353 43 7 4 43 9 4 44i5 4435 4455 4476 4496 45i6 4536 4556 45 7 6 4597 4617 Co-sine of 9 Degrees. Sine of 81 Degrees. 9.994620 464o 466o 468o 4700 4720 4739 47 5 9 4779 4798 9.994818 4838 485 7 4877 4896 49-6 4935 4955 4974 4993 99501 3 5o32 5o5i 5070 5089 5io8 5127 5i46 5i65 5i84 995203 5222 524l 526o 5278 5297 53i6 5334 5353 53 7 2 995390 5409 5427 5446 5464 5482 55oi 5519 553 7 5555 995573 5591 56io 5628 5646 5664 568 5699 5 7 i 7 5 7 35 4623 4643 4663 4683 4 7 o3 4 7 23 4 7 43 4 7 62 4 7 82 4802 4821 484i 4861 4880 4900 49 T 9 4938 4g58 4977 4997 5oi6 5o35 5o54 5o 7 3 5092 5lI2 5i3i 5i5o 5169 5i88 5206 5225 5244 5 2 63 5282 53oo 53ig 5338 5356 53 7 5 53g3 54i2 543o 5449 546 7 5485 55o4 5522 5540 5558 55 7 6 55 9 4 56i3 563i 5649 566 7 5684 5702 5720 5 7 38 4627 4647 4667 4686 4706 4726 4746 47& 48o5 4825 4844 4864 4883 4903 4922 4942 4961 4980 5ooo 5019 5o38 5o57 5o 77 5096 5n5 5i34 5i53 5l 7 2 5191 52IO 5228 524 7 5266 5285 53o3 5322 534i 535 9 53 7 8 53 9 6 54i5 5433 5452 54 7 o 5488 55o 7 5525 5543 556i 55 79 55 97 56i6 5634 5652 56 7 o 568 7 5 7 o5 5 7 2^ 5 7 4i 463o 465o 46 7 o 4690 4 7 io 4 7 29 4 7 49 4769 4 7 8 9 48o8 4828 4848 4867 488 7 4906 4926 4945 4964 4984 5oo3 5022 5o4i 5o6i 5o8o 5099 5n8 5i3 7 5i56 5i 7 5 5i94 52i3 5232 525o 5269 5288 53o 7 5325 5344 5362 538i 5399 54i8 5436 5455 54 7 3 549i 55io 5528 5546 5564 5582 56oi 5619 563 7 5655 56 7 2 5690 5 7 o8 5 7 26 5 7 44 4633 4653 46 7 3 4693 47i3 4 7 33 4752 4772 4792 48i2 483i 485i 4870 4890 4909 4929 4948 4968 4987 5oo6 5o 2 5 5o45 5o64 5o83 5 1 02 5l2I 5i4o 5i 59 5i 7 8 5i 97 5216 5 2 35 5253 5272 5291 53io 5328 534 7 5365 5384 54o3 5421 5439 5458 54 7 6 5494 55i3 553i 5549 556 7 5585 56o4 5622 564o 5658 56 7 5 56g3 5 7 n 5729 5747 30" 463 7 5 9 465 7 58 46 7 6 5 7 4696 4716 4 7 36 4 7 56 4776 4795 48i5 4834 4854 48 7 4 48 9 3 49i3 4932 495i 4971 4990 5009 5029 5o48 5067 5o86 5io5 5 1 24 5i43 5 1 62 5i8i 5200 5219 5238 5257 52 7 5 5294 53i3 533i 535o 5369 538 7 54o6 5424 5442 546i 5479 5497 55i6 5534 5552 5570 5588 5607 5625 5643 566i 5678 56 9 6 57i4 5732 5750 56 55 54 53 52 5i 5o 49 48 47 46 45 44 43 42 4i 4o 3o 38 3 7 36 35 34 33 32 1 3o 39 28 27 26 25 M 2 3 2 2 23 20 *9 18 17 16 i5 14 1 3 12 11 10 Co-sine of 8 Degrees. p p .1" 2" 3" 4" 5" 6" 7" 1.1 artj 0111222 8" 9" 3 3 P P A I" 2" 3" 4" 5" 6" 7" 8" D" i.rart^ 1 1 1 2 2 2 3 3 Logarithmic Tangents. 105 Tangent of 80 Degrees. 10" 20" 30" 40" 50" 0" Tangent of 81 Degrees. 1 40" j~50"" 10" 9 10 ii ia i3 i4 i5 16 17 IS 19 20 21 22 23 24 a 6 27 28 a 9 3o Si 3 a 33 34 35 36 37 38 3 9 4o 4i 42 43 44 45 46 47 4* 49 5,. 5i 5 a 53 54 55 56 5 7 58 5 9 10.753681 44si 5i6i 5903 6646 7 3 9 o 8i35 8882 9629 10.760378 1128 1880 2632 3386 4i4i 48 97 5655 64i4 7174 7935 38o4 4544 5285 6026 3928 4667 54o8 6i5o 946i 10.770227 0993 1761 2529 6770 6894 75i47638 82598384 9006 9131 97 54 o5o3 1253 2oo5 2758 35i2 4267 5o24 5 7 8i 654o 7301 8062 8825 9589 o354 1121 1889 9879 0628 i3 79 2i3o 2883 3638 43 9 3 5i5o 5908 6667 4o5i 4174U297 4791 U914 5o38 553256555779 6274 639816522 7018 7142(7266 7762 7886|8on 85o8j8633 8757 9255 9380 95o5 .4 .128 .53 07530878 ioo3 i5o4 2256 3009 3 7 63 4519 5276 6o34 6794 7427 h554 81898316 8952 9079 9716 9844 0482 1249 2017 33oo3428 4071 4200 4844J497 3 56i8j5747 6393 6523 7170 7948 8728 95o8 .780290 1074 i858 2644 3432 4220 5on 58o2 65g5 73oo 0610 1377 2i45 2914 3685 . 445 7 5io2J523i 5876 6006 6652 6782 658 2 7 86 355 7 4329 7429 80788208 88588988 9639 0421 I204 I989 2 77 5 3563 4352 5i42 9769 o55i i335 2120 7 55 9 8338 9118 9899 0682 i486 225l 3o38 3826 46i5 1629 1754 238i 2507J48 3i35326o47 3889 ! 4oi5 46 4645|477i 45 54025529144 '43 42 4i 4o 39 38 37 3(3 2907 3695 4484 ( 5274|54o6 5934I6066.6198 . 6727:6859^992 7389 , 7522| 7 654 7787 8i85|83i7'845o'8583 6i6i'6287 692017047 7681J7808 8443 8570 9207:9334 9971 ..99 0737:0865 i5o4ii632 2273|24oi|35 3o43!3i7i 34 38i4l394233 4586J47i5|32 3i 3o 29 28 43 26 15 24 23 22 21 536o ! 5489 6i35|6264 691 1 7041 76897818 8468J8598 9248 9378 9 .160 0812^0943 1 5971727 2382 25i3 3169 33oo 3 9 57|4o89| 2 o 47474879 19 5538 567o|i8 2:9115^2 97809913. .46 10. 790580^713 0847 9381 180 1 648 245i 3256 1 38 1 1 1 5 1 5 2i83 a3i7 2987.3133 3793:39274063 46oo ! 4734l4869 54o8|5543,5678 6318 6353,6488 633o,6463 7124 7257 7919 8o52 87168849 95i4 9647! 1 3 .3i3|.446 12 0980J11141247 11 1783 1916 3o5o 10 2585 3719 2853 9 339o35a43658 4i96 433i;4465 5oo45i38 5273 58i3j5947'6o82 66s3 6758 6893 7029 7164 72991743517570 7706 7841 797781138248 8384 85i9 8655,8791892790639199 9335 9471 9607 9743 9879 1 . . i5 . 1 5 1 10.800287 1106 1926 2747 3570 43 9 4 5220 6o47 6876 7706 8538 9 3 7 i 10.810206 1042 1880 2720 356i 44o3 5248 6093 6941 7789 864o 9492 io.82o345 1201 2o58 2916 3776 4638 55oi 6366 7233 8101 8971 9843 10.830716 1591 2468 3346 4226 5i68 5 99 2 0424 1242 2062 o56o i3 79 2199 2884 3707 4532 5358 6i85 7014 7845 8677 95io o345 1182 2020 2860 3701 4544 5388 6234 7082 79 3i 8782 9634 o488Jo63o i343 i486 2200 2344 3o59 32o3 3920 4o63 4782 U925 56455789 65n 6655 7377 7522 824618391 9116J9261 9988.134 0862 1008 1737 i883 2614 2760 3493j 3639 4373 452o 5255j54o2 613916287 6877I702517172 7764 791218060 302I 3844 4669 5495 6323 7152 79 83 8816 9649 o485 1322 2160 3ooo 3842 4685 5529 63 7 5 7223 8073 8924 9776 0696J0833 0969 i5i6 i652 1789 233624732610 3i58 32 9 5 ( 3433 3982 41194257 4807 4944j5o82 5633 577115909 6599:6738 7429 7568 59 58 5? 36 55 r 4 53 5a 5i 826i!8399!5o 646 1 7291 8122 8954 909319232 9788 0624 i46i 23oo 3i4o 3982 4825 5670 65i 7 7365 8214 9066 9918 o 77 3 1629 2487 3346J3489 4207J4350 9928 ..67 0764:0903 1601 1741 244o 258o 328oj34ai 4122 4263 4966J5107 58n 5952 66586799 7506J7648 83568498 9208 93S0 ..6l .203 0915 io58 1772 263o 5069 5 9 33 6799 7667 8536 9407 279 n53 2029 2907 52 1 3 6078 6 9 44 7812 8681 9 55 2 49 48 4 7 46 45 44 43 42 4i 4o 39 38 37 36 35 34 33 32 3 1 3o 29 1915 2773 3633 4494 535 7 6222 7088J28 7956I27 8826,26 969725 425 . 570^4 i29 9 |i445|23 2175 2322 22 3o53 3200 3786139334080 466 7 !48i4'496i 555o!56 9 7'5844 643465826729 7320I746S 7616 8208 8356!85o4 8653 8801 18949-9098 9543 9692 ^840, 9989 io.84o435|o584|o733:o882 1329; i479j 1 02 8j 1 777 j5 2375i2524 3i23|3272:3422 4022 4l72 4322 4923'5074 5224 2674 3572 4472 Co-tangent of 9 Degrees. p rt J 1" 2-' 3" 4" 5" 6" 7" 8" 1Hri J 13 26 39 52 65 78 91 103 9" llfi P. Part 9246,9395 ,x38 .287 io3ijii8o 1926 3076 2833'2973 3723 387a 4623 4773 53 7 4 ! 5525 56 7 5 6826,5977 6127 627^ 6429 658o 673i | 6882 | 7o33 7184 7335 7486 7637,7789 7940 8091 8243 8394 8546:8697 8849 90011915a 9304 9456 9608 9760 991 2|. .64 .216 ,85o368o52o 0672 08260977 11 29 '1434 1 587I 1 739 .'892 2045 30" \UV'" !U" Co-tangent of 8 Degrees. 11 .til q// 1 29 {! 4" 5" 43 58 72 6" 7" 8" 9" 8fi 101 115 130 106 Logarithmic Sines. Sine of 82 Degrees. Sine of 83 Degrees. 20" 30" 50" 9.995753 5771 5 7 88 58o6 5823 584i 585 9 58 7 6 58 9 4 5911 9.995928 5946 5963 5 9 8o 5 7 56 5 77 3 5 79 i 5809 5826 5844 5862 58 7 9 58 97 5914 5931 5949 5 9 66 5 9 83 599816001 6oi5i6oi8 5 7 5 9 5 77 6 5 79 4 58i2 5829 5847 5864 5882 5899 5 9 i 7 5 9 34 952 5969 5 9 86 6oo3 6021 6o32|6o35J6o38 6049 6o52 6o55 6066,6069 6072 6o83 6086 6089 9 .996100J6103 61 17 6120 6i34J6i37 6i5i 6i54 6168 6171 6i85 6202 6219 6235 6252 9.996269 6285 63o2 63i8 6335 635i 6368 6384 64oo 3gj 6417 4o 9.996433 4i 42 43 a 45 46 47 48 49 5o 5i 52 53 54 55 5G 57 58 5 9 6188 62o5 6221 6238 6255 6271 6288 63o5 632i 6338 6354 6370 638 7 64o3 6419 6436 6452 6468 6484 65oo 65i 7 6533 6546'6549 65626565 65 7 8 658o 644 9 6465 6482 6498 65i4 653o 9.996594 6610 6625 664i 665 7 6673 65 9 6 6612 6628 6644 6660 6675 6688J669I 67046707 6720 6722 67356738 6106 6123 6i4q 6157 6i 7 4 6191 6207 6224 6241 6257 6274 6291 6307 6324 634o 635 7 6373 6390 64o6 6422 6438 6455 6471 6487 65o3 6519 6535 655i 656 7 6583 6599 66i5 663i 6646 6662 6678 66 9 4 6709 6725 6740 5762 5779 5 797 58 1 5 5832 585o 586 7 5885 5902 5920 5 9 3 7 5 9 54 5 97 2 5989 6006 6023 6o4i 6o58 6075 6092 6109 6126 6i43 5 7 65 5782 58oo 58i8 5835 5853 5870 5888 5905 5923 5940 5 9 5 7 5 97 5 5992 6009 6026 6o43 6061 6078 6095 61 12 6129 6i46 576859 5785 58 58o3 57 582i 5838 5856J54 58 7 3J53 5891I52 5 9 o8 5i 5 9 26 5 9 43 5960 5 97 8 5995 6012 6029 6o46 6o63 6160 6162 617716179 6193:6196 621O16213 6227 623o 62446246 62606263 627716280 6293,6296 63io63i3 6327 6329 63436346 63596362 63766379 63926395 6409,6411 64256428 644i6444 645716460 6474J6476 6490 6492 65o665o8 6522 6525 6538654i 655/6557 65706573 6586 ! 6588 66o2'66o4 66i8|662o 6633,6636 6649'6652 666516667 668i;6683 6696 6699 6712 6714 6727 6730 6 7 43 : 6 7 46 6098 6n5 6i3i |6i48 6i65 J6182 ,6199 16216 16232 16249 ,6266 6282 ,6299 63i6 J6332 ,6349 6365 638i 63 9 8 64i4 |643o 6447 6463 6479 6495 65u 652 7 6543 6559 6575 6591 6607 6623 663 9 6654 6670 6686 6701 6717 6733 6 7 48 9.996751 6766 6782 6797 6812 6828 6843 6858 68 7 4 i6 7 53 6769 6784 6800 68i5 683o 6 7 56 6771 6787 6802 6818 6833 9.996904 6919 6 9 34 6949 6964 6979 6994 7009 7024 7 o3 9 997053 7068 7083 7098 7112 7127 7141 7 i56 7170 7 i85 997199 7214 7228 7242 7 25 7 7271 7285 7299 7 3i3 7 32 7 9.99734i 7 355 7 36 9 7383 7 3 97 74u 7425 7439 7452 7466 9.997480 7493 7 5o 7 7520 7534 7547 756i 7 5 7 4 7 588 7601 68466848 6861 6863 68766879 68 9 4 6906J6909 6922 6924 6937 6939 6952 6954 6967 6982 6997 7011 7026 7041 7o56 7071 7085 7100 71 15 7129 7144 7 i58 7 i 7 3 7187 7202 7216 7230 7245 7 25 9 7273 7287 73oi 7 3i6 733o 7344 7 358 7 3 7 2 7386 7 3 99 74i3 7427 744i 7455 7 468 7482 7496 7 5o 9 7523 7 536 755o 6969 6984 6999 7014 7029 7044 7o58 7 o 7 3 7088 7102 7117 7132 7146 7161 7 i 7 5 7190 7204 7218 7 233 7247 7261 7276 7290 73o4 7 3i8 7332 7346 736o 7 3 7 4 7388 7402 7416 7429 7443 7457 7471 7484 7498 75u 7525 7 53 9 7552 7 563 7 565 757717579 7590 7592 76o3j76o5 6 7 58 6774 6789 68o5 20 6835 685i 6866 6761 6777 6792 6807 6823 6838 6853 6869 6884 6912 6927 6942 6 9 5 7 6972 6987 7002 7016 7o3i 7046 7061 7076 7090 7io5 7120 7i34 7149 7 i63 7178 7192 7206 7221 7235 7249 7264 7278 7292 7306 7320 7334 7348 7362 7 3 7 6 7 3 9 74o4 74i8 7432 7445 7459 7473 7487 75oo 75i4 7527 754i 7 554 7 568 7 58i 7 5 9 4 7608 6914 6929 6 9 44 6959 6974 7004 7019 7 o34 7049 7063 7078 7093 7107 7122 7 i3 7 6 7 64 6779 6 79 5 6810 6825 684i 6856 6871 6886 6901 6917 6932 6947 6962 6977 6992 7007 7021 7o36 7o5i 7066 7080 7 o 9 5 7110 7124 7 i3 9 7i5i hi54 7166 7168 7180 7182 7194 7197 7209 721 1 7223 7226 7238 7240 7252 7254 7266 7268 7280 7294 7 3o 9 7323 7 33 7 7 35i 7 365 7 3 79 7 3 9 3 7406 7420 7434 7448 7461 7475 7489 7502 7 5i6 753o 7543 7 556 7 5 7 7 583 7597 7610 7283 7297 73n 7325 7 33 9 7353 7 36 7 7 38i 7 3 9 5 7409 7423 7436 745o 7464 7477 7491 75o5 7 5i8 7 532 7545 7 55 9 737 7 585 7 5 99 7612 So 58 5 7 56 55 54 53 52 5i 5o 49 48 47 46 45 44 43 42 4i 40 3 9 38 37 36 35 34 33 3 53 3i 3o 9 cS 27 26 25 24 23 2 2 21 20 19 l8 J 7 16 i5 i'i 1 3 12 1 1 10 9 8 7 6 5 4 3 2 I o 30" 1 20" 50" I 40" I 30" I 20" I 10" Co-sina of 7 Degrees. Co-sine off) Degrees. P. Tart . 1" 2" 3'' 4" 1 6' 8" 9" 1" P. Part J Q 2" 3" 1 5" 6" 7" 1 1 2 y" Logarithmic Tangents. 107 I Tangent of 82 Degrees 0|Jo. 852197 3u5 4o34 4956 58 79 68o4 77 3i 866o 9 5 9 i io.S6o524 i458 2395 3333 42 7 4 52 1 6 6161 7107 8o56 9006 99 5 9 10.870913 1870 2828 3789 475i 5 7 i6 235o 3268 4i88 5no 6o33 6 9 58 7886 88i5 9746 0679 i6i4 255i 3490 443 1 53 7 4 6319 7265 8214 9165 118 1072 20" 30" 40'' 50" 25o3 3421 4341 5263 6187 7113 8o4i 8970 9902 o835 1770 2708 364? 4588 553i 6476 7 423 8372 9324 277 2656 2809 2962 59 388i 58 3575 3728 4495 4649 54i7 634i 6496 7267 8195 835o 9125 9280 ..5 7 0991 1926 2864 38o3 4745 5688 6634 7 58i 853i 9482 436 1232 l39I 2029!2l89 2349 29883i4833o8 3949U109U270 4912I0073 587 7 !6o38 6683|6844|7oo6 7652 7813 7975 862387858947 9596J9758 9921 3o 10.880571 0734 i548 1711 2528 2691 35o9|3673 4493 4657 5479 5643J58o8 646716632 6796 7457 762217787 0896 1874 2855 383 7 4821 844986i5 944419610 10.890441J0607 i44o a44i 3444 445o 5458 1606 2608 36i2 46i8 5626 8781 9776 o 77 3 i 77 3 2 77 5 3 779 4786 5 79 5 6468 6637 6806 7481 765o 7819 8496 866:'. 8834 951396839852 10.900532 0702 0873 i554 1734 1895 2578J2749J2920 36o5 3776 3g47 463348o54977 5664 5837 6009 669816871,7043 7734 79< r " 5234 6199 7167 8i3 7 9109 ..83 1059 2o38 3oi8 4ooi 4985 5972 G96I 7953 8 9 46 9942 0940 1940 2942 3 9 47 49 54 5 9 63 6974 7988 9004 . .22 io43 2066 3091 4i 19 5i49 55 7 i 742: 4802 5725 665o 55 75 7 6 54 85o5 9436 .368 i3o2 239 .212 n46 2082 3020 3960 4902 5846 6792 77 3 9 8689 9641 .595 i55i 25o8 3468 443o 53 9 4 636o 7 32 9 8299 9 2 7i . 246 .4o8 3i 77 4117 5o59 6oo3 6950 7898 8848 9800 .754 1710 2668 3629 4591 5555 6522 7490 846i 9433 1222 2201 3i8 2 4i65 5i5o 6i3 7 7127 8118 9112 .108 1 106 2107 3no 4n5 5l22 6i3i .192 I2l3 2236 3262 4290 5320 6181 6353 7216 7388 82538426 i385 2364 3345 4329 53i4 63o2 7292 8284 9278 .274 1273 22 7 4 3277 4282 5290 63oo i4 7143J73 12 1 3 8157832612 9173 9343 11 .362 1 384 2407 3433 4462 54 9 2 6526 756i 8599 Tangent of 83 Degrees. 8772 894G 91 19 9292 94669639 1 9 8i3 80" VV S 7 50" I i6i .3341. 5o8| 68: 10" 1 2 3 4 5 6 7 8 9 id 11 is 1 3 i4 1 5 16 *7 18 *9 30 21 22 23 24 25 26 27 28 10 29 3o 3i 32 33 34 35 36 '"7 38 3 9 4o 4i 42 43 44 45 46 4 7 48 4 9 5o 5i 52 53 54'io 55 5C 5? 58 5 9 .910856 1902 2950 4ooo 5o53 6109 7167 8227 9290 10" 20" 30" io3o 2076 3i25 4176 5229 6285 7343 84o4 9468 10.920356 o534 1424 2495 3568 4644 5722 68o3 1602 6 7 3 3747 4823 5902 6984 I2o5 225l 33oo 435i 54o5 646 1 7520 858i 9645 0712 1781 2852 3926 5oo3 i3 79 2426 3475 4527 558i 6638 7697 8 7 5 9 9823 0890 i 9 5 9 3o3i 4io5 5i83 iS53 2600 365o 4702 5 7 5 7 6814 7874 8936 60826262 7164 7345 788780688=498430 8973 9154 ,930062 0244 ii54i336 2248p43o 33453528 4444|4628 554? 6652 7760 8870 99 8 4 .941100 2219 334i 4465 5593 6723 93369517 0425 0607 1 5i 8 1700 2613 2796 371 1 3894 4812 U995 5915 6099 7021 7205 8i3o83i5 9427 .54i 1659 40" 50" 1068 2i38 32IO 4=85 5362 644a 7525 861 1 9699 0789 i883 2979 4078 5179 6283 7 3 9 85oo 9612 7 2 7 i845 2966 4090 5 7 3i 6836 7945 9o56 9241 . 169 .355 1286 1472 240642592 2779 3528 37i5 390: 4653 484i 5o28 5216 5781 596961576346 6912 7100 7289 747P 7856J8o45 8234 84a4 86i3 8992 9182 9371 9561 9751 95oi3i o32i o5n 0702 I273|i464 i654 i845 24 1 8; 2509' 2800 2991 3566 3 7 57|3949 ! 4i4i 47164908 !5ioi 5293 5870 6o63|6255 6448 7027 7220 74i3 7606 8187838085748768 934995449738 9932 96o5i5'o7io 0905 1099 1294 i684li8 7 9'2074 227oi2465 0892 2o36 3i83 4332 5485 664i 7800 8961 .126 3443 4620 58oo 6 9 83 8169 3639 4816 5 997 7180 836 7 I Co-tangent of 7 Degrees. 2856i3o52 3247 4o3i U227 4424 5209 54o6 56o3 6391 65886785 7 5 7 5 |7773;797i 87638961 9159 9954J. i5a .35i 97ii48[i347 i546 2345i2545'2745 3545|3 7 46 3 9 46 4i4t 4 >4? 4749 495o 5 1 5 1 5352(5553 5956 61 57 6359 656i 6762 7166 7368 7 r >7<> 7773 797') 9 358j 9 556 .550J.749 1746 n;45 <;4 r ) 3i45 1727 2 77 5 3825 |48 7 8 |5 9 33 6990 8o5o 9 1 1 3 .178 1246 23i6 338 9 4464 5542 6623 7706 8792 9880 0971 2o65 3162 4261 5363 6467 7 5 7 5 8685 9798 .914 2032 3i53j3o 4277 54o4 6534 7667 88o3J25 994i 24 io8323 2227122 r '> 3 74; 2 1 567819 7993 9i55 .321 i48 9 2661 3835 5oi3 6194,10 7377 8565 97 55 948 2i45 3345 4548 5755 IO964 s '77 40" 30" , 20" Co-tanjreiit of Degrees. V.I'nrt S I 2" 3" I 16 33 49 J" 6j SI 6" 7" H" !" <)S ill i:i() lit. 1'. Part IS :i" 4" 5" 6" 7" ".('. 7o 94 112 131 S" 0" iro 168 108 Logarithmic Sines. Sine of 34 Degrees. Sine of 85 Degrees. 0" i 10" 20" [ 30" 40" 50" 0" ) 10" 1 20" 30" 40" 50" o 9.997614 7617 76i9'762i 7623 7625 5 9 9-998344 8346 8348 835o 8352 8353 5 9 I 7628 763o 76327634 7636 7 63 9 58 1 8355 835 7 8359 836i 8363 8364 58 2 7641 7643 7645,7647 765o 7652 57 2 8366 8368 83 7 o 83 7 2 83 7 4 83 7 5 57 3 7<554 7656 76587661 7 663 7665 56 3 83?7 83 79 838i 8383 8385 8386 56 4 7667 7669 7672 7674 7676 7678 55 4 8388 8390 8392 8394 83 9 5 83 9 7 55 5 7680 7682 76857687 7689 7691 54 5 8399 84oi 84o3 8404 84o6 84o8 54 G 7693 7696 7698 7700 7702 7704 53 6 84io 8412 84i3 84i5 8417 8419 53 7 7706 7709 7711 77 i3 7 7 i5 7717 52 7- 8421 8422 8424 8426 8428 843o 52 8 7719 7722 7724 7726 7728 77 3o 5i 8 843 1 8433 8435 843 7 843 9 844o 5i 9 7732 7735 77 3 7 7739 7 7 4i 7743 5o 9 8442 8444 8446 8448 8449 845i 5o IO 9.997745 7747 77 5o 77 52 7754 77 56 49 10 9.998453 8455 8456 8458 846o 8462 4 9 ii 7758 7760 7762 77 65 7767 7769 48 11 8464 8465 8467 8469 8471 8472 48 12 7771 777377757777 7780 7782 47 12 8474 8476 8478 8479 848 1 8483 47 i3 7784 7786,77887790 7799!78oi 7803 7792 7794 46 i3 8485 8487 8488 8490 8492 8494 46 i4 7797 78o5 7807 45 14 8495 8497 8499 85oi 85o2 85o4 45 i5 7809 7811 78147816 7818 7820 44 i5 85o6 85o8 8509 85n 85i3 85i5 44 16 7822 78241782617828 783o 7833 43 16 85iC 85i8 8520 8522 85^3 8525 43 17 7835 7837 7839 7841 7843 7845 42 17 8527 8529 853o 8532 8534 8535 4a 18 7847 78497852 7854 7 856 7 858 4i 18 8537 8539 854i 8542 8544 8546 4i J 9 7860 7862 78647866 7868 7870 4o l 9 8548 8549 855i 8553 8554 8556 4o 20 9.997872 7 8 7 5 i7 8 77,7 8 79 7881 7883 39 20 9-998558 856o 856i 8563 8565 8566 3 9 21 7 885 7887:788917891 7893 7 8 9 5 38 21 8568 8570 8572 85 7 3 85 7 5 85 7 7 38 22 7897 7900 7902 7904 7906 7908 37 22 85 7 8 858o 8582 8584 8585 858 7 37 23 7910 7912 791417916 7918 7920 36 23 858 9 85 9 o 8592 85 9 4 85 9 5 8597 36 24 7922 792479267929 79 3i 79 33 35 24 8599 8601 8602 8604 8606 8607 35 25 79 35 793779397941 79 43 7945 34 25 8609 8611 8612 8614 8616 8617 34 26 7947 7949,7951 7953 79 55 79 5 7 33 26 8619 8621 8622 8624 8626 8627 33 2 7 79 5 9 7961 7963,7965 7967 7970 32 27 8629 863i 8633 8634 8636 8638 32 28 7972 79747976,79787980 7982 3i 28 863g 864i 8643 8644 8646 8648 3i 29 7984 7986 7988 | 7990j7992 7994 3o 29 8649 865i 8653 8654 8656 865 7 3o 3o 9.997996 7998 8000 8002 8oo4 8006 29 3o 9.998659 8661 8662 8664 8666 8667 29 3i 8008 8010 8012 8oi4 8oi6|8oi8 28 3i 8669 8671 8672 86 7 4 8676 8677 28 32 8020 8022 8024 8026 8028,8030 27 32 8679 8681 8682 8684 8686 8687 27 33 8o32 8o34 8o36 8o38 8o4o8o42 26 33 8689 8690 8692 8694 86 9 5 8697 26 34 8o44 8o46 8o48 8o5o 8o52'8o54 25 34 8699 8700 8702 8704 8 7 o5 8707 25 35 8o56 8o58 8060 8062 8064*8066 24 35 8708 8710 8712 8 7 i3 8 7 i5 8717 24 36 8068 8070 8072 8074 8o76 ! 8o78 23 36 8718 8720 8721 8723 8725 8726 23 3 7 8080 8082 8o84 ! 8o86 80888090 22 3 7 8728 8729 8 7 3i 8 7 33 8 7 34 8 7 36 22 38 8092 8094 8096 8o98'8ioo'8io2 21 38 8 7 38 8 7 3 9 8 7 4i 8742 8 7 44 8 7 46 21 39 8104 8io68io8;8iio!8ii2'8ii42o 39 8747 8 7 49 8750 8 7 5 2 8 7 54 8755 20 4o 9.998116 8n88i20 ! 8i228i248i26 19 4o 9.998757 8 7 58 8760 8762 8 7 63 8 7 65 J 9 4i 8128 8i3o8i3i 8i338i358i37 18 4i 8766 8768 8769 8771 8773 8 77 4 18 42 8i3 9 8i4i 8i43 8i45 81478149 J 7 42 8776 8777 8779 8781 8782 8 7 84 17 43 8i5i 8 I 53.8i558i57 i 8i5 9 8i6i 16 43 8 7 85 8787 8788 8790 8792 8793 16 44 8i63 8i658i67 1 8i68!8i7o8i72 i5 44 8 79 5 8796 8798 8799 8801 88o3 i5 45 8i 7 4 8i768i78J8i8o8i82 ! 8i84 i4 45 88o4 8806 8807 8809 8810 8812 14 46 8186 8188 8190J8192J8194 8195 i3 46 88i3 88i5 8817 8818 8820 8821 i3 47 8197 8199 8201 82o3i82o5 8207 12 47 8823 8824 8826 8827 8829 883i 12 48 8209 S2ii;82i382i582i782i8 1 1 48 8832 8834 8835 883 7 8838 884o 11 49 8220 8222 8224822682288230 IO 4 9 884i 8843 8844 8846 8848 8849 10 5o 9.998232 82348236823882398241 9 5o 9.998851 8852 8854 8855 885 7 8858 9 5i 8243 8245824782498251,8253 8 5i 8860 8861 8863 8864 8866 8867 8 52 8255 82578258:826082628264 7 52 8869 8870 8872 88 7 3 88 7 5 8877 7 53 8266 826882708272182738275 6 53 8878 88808881 8883 8884 8886 6 54 8277 82798281 828382858287 5 54 8887 88898890 8892 88 9 3 88 9 5 5 55 8289 8290 | 8292;8294 8296 8298 4 55 8896 88988899 8901 8902 8904 4 56 83oo 83o2 83o3 83o5 83o 7 83o9 3 56 8905 8907 8908 8910 8911 8 9 i3 3 57 83n 83i3;83i5'83i6;83i8 832o 2 5 7 8914 8916 89178919 8920,8922 2 58 8322 8324 8326 83288329 833i 1 58 89238925 89268927 8929^8930 1 5 9 8333 8335 8337'8339 ! 834i 8342 5 9 8 9 32 8 9 33 89358936:89388939 GO" | 50" | 40" | 30" | 20" 10" | ^ 1 60" , 50" 40" I 30" 1 20" | 10" c Co-sine of 5 Degrees. Co-sine of 4 Degrees. IS P. L p .$ 1" 2" 3" 4" 5" 6" 7" 8" 9" II lan \ 1 1 1 1 1 2 2 |j 1 - p A I" 2" 3" 4" 5" 6" 7" 8" 9" lart \ 1 1 1 1 ' 1 1 LOGARITHMIC TANGENTS. 109 Tangent of 84 Degrees. Tangent of 85 Desrreos. 0" 10" 20" 30" 40" 50" 0" | 10" 20" 30" 1 40" | 50" ic. 978380 8582 8 7 85 8988 9191 9 3 9 4 5 9 11 .o58o48 8291 8533 8776 901919262 59 I q5 97 9800 ...3 .206 4io .6i3 58 I 95o6 9749 9993 .236 .480 .724 58 2 10.980817 1021 1224 1428 i632 i836 >7 2 11 .060968 1212 i456 1701 1945 2190 57 3 204l 2245 2449 2654 2858 3o63 56 3 2435 2680 2925 3170 34i6366i 56 4 3268 3472 36 77 3882 4087 4293 55 4 3907 4i53 4399 4645 4891 5i38 55 5 4498 4703 4909 5n4 5320 5526 54 5 5384 563i 58 77 6124 6371 6619 54 6 5732 5 9 38 6i44 635o 6556 6 7 63 53 6 6866 7ii3 736i 7609 7 857i8zo5 53 7 6969 7176 7382 7 58 9 7796 8oo3 52 7 8353 8601 885o 9098 9347I9596 5a 8 8210 84i7 8624 883i 9039 9246 5i 8 9845 .. 9 4 .343 .593I. 842 1092 5i 9 9454 9662 9869 77 .285 .493 5o 9 11 .071342 1592 1842 2092 2343 2593 5o 10 10.990702 0910 1118 1327 i535 1744 49 10 2844 309D 3346 3597I38484100 4 9 ii 1953 2162 2371 258o 2789 2998 48 11 435i 46o3 4855 5107 5359;56n 48 12 3208 34i7 3627 3836 4o46 4256 47 12 5864 61166369 66226875J7128 47 i3 4466 4676 4886 5096 5307 55i 7 46 i3 7 38i 76357888 814283968650 46 i4 5728 5939 6149 636o 65 7 i 6782 45 i4 8904 9159 94i3 9668 9922 .177 45 i5 6993 7205 7416 7627 7 83 9 8o5i 44 i5 ii.o8o432 06880943 ii99!i454 1710 44 16 8262 8474 8686 8898 91 1 1 9323 43 16 1966 2222 2478 2 7 35 299 11 3248 43 17 9535 9748 9960 .i 7 3 .386 .5 99 42 *7 35o5 3762 U019 4276 4534)4791 42 18 11 .000812 I025 1238 i45i 1 665 1878 4i 18 5o49 5307 5565 5823 6082 034o 4i '9 2092 23o6 2519 2733 2947 3i6i 4o *9 6599 6858 7117 73767635 7894 4o 20 33 7 6 3590 38o4 4019 4234 4448 3 9 20 8i54 84i4 8674 893491949454 39 21 4663 487*8 5093 53o8 5524 5 7 3 9 38 2 1 97*5 997 5 .236 497 758 1020 38 22 5955 6170 6386 6602 6818 7034 37 2 2 11 .091281 1 543 1804 2066 2328,2590 37 23 7250174C6 7682 7899 8n5 8332 36 23 2853 3n5 3378 364i 3904 U167 36 24 8549 8765 8982 9*99 9417 9634 35 24 443o 46 9 4 4957 5221 5485 5749 35 25 985i ..69 .286 .5o4 .722 .940 34 25 6oi3 6278 6542 6807 70727337 34 26 11 ,oni58 1376 1594 i8i3 203l 225o 33 26 7602 7868 8i33 8399 8665|893i 33 27 2468 2687 2906 3i25 3344 3563 32 27 9197 9463 97 3o 9996 .263 .53o 32 28 3 7 83 4002 4222 444i 466 1 488i 3i 28 11. 100797 io65u332 1600 i868|2i36 3i 2 9 5ioi 532i 554i 5762 5982 6202 3o 29 2404 2672 2940 3209 3478)3747 3o 3o 64236644 6865 7086 7307 7528 29 3o 4oi6 4285 4555 4824 5094)5364 29 3i 7749)7971 8192 84 1 4 8636 885 7 28 3 1 5634 5904 6175 6445 6716 6987 28 32 9079'93oi 9524 9746 9968 .191 27 32 7258 7 52 9 7801 8072 8344 86i6 27 33 1 1 .020414 o636 0859 1082 i3o5 i5 2 8 26 33 8888 9160 9433 975 9978 .25i!a6 34 I 7 52 1975 2199 2422 2646 2870 25 34 11 .no524 0798 1071 1 345 1618 1892125 35 3094 33i8 3542 3767 3 99 i 4216 24 35 2167 244i 2715 2990 3265 354o|a4 36 4440 4665 4890 5n5 534o 5565 2 3 36 38i5 4090 4366 4642 4917,5193 23 37 5791 6016 6242 6468 66 9 3 6919 22 n 5470 5746 6023 6299 65 7 6)6853 22 38 7145 7 3 7 2 7 5 9 8 7824 8o5i 8277 21 38 7i3i 7408 7686 79 63 824118520 21 3 9 85o4 8731 8 9 58 9185 9412 9640 20 39 8798 9076 9 355 9634 99 i3 .192 20 4o 9867 .. 9 5 .322 .55o .778 1006 9 4o 11 .120471 0751 io3i i3ii 159111871 *9 4i 11 .o3i234 1462 1 69 1 1919 2148 2377 18 4i 2l5l 2432 2713J2994 3275 3556 18 42 2606 2835 3o64 32 9 3 3522 3 7 52 J 7 42 3838 4119 44oi 4683 4966)5248 *7 43 3981 4211 444i 4671 4901 5i3i 16 43 553i 58i3 609616380 6663)6946 16 44 536i 5592 5822 6o53 6284 65i4 i5 44 723o 75i4 77988082 8367,865i i5 45 . 6745 6977 7208 7439 7671 7902 i4 45 8 9 36 9221 95069792 ..77 .363 i4 46 8 1 34 8366 85 9 8 g83o 9062 9 2 9 5 i3 46 11 . i3o649 0935 1221 i5o8 179412081 13 47 9527 9760 9992 .225 .458 .691 13 47 2368 2656 2943i323i 35i8|38o6 12 48 11 .040925 n58 1 39 1 1625 i85 9 2092 II 48 4094 4383 4671J4960 52495538 11 49 2326 256i '2795 3029 3264 3498 IO 49 5827 6117 6407:6697 69877277 10 5o 3 7 33 3968 42o3 4438 46 7 3 4908 9 5o 7 56 7 7858 8i49 844o 873^9023 9 5i 5i44 53 79 56i5 585i 6087 6323 8 5i 93i4 9606 9898 .190 .483 .775 8 5a 6559 6 79 5 7032 7268 75o5 7742 7 52 1 1 . 141068 i36i 1 654 1947 2241 2535 7 53 7979 82i6 8453 8691 8928 9166 6 53 2829 3ia3 34i7 3 7 i2 4007 43oi 6 54 94o3 9641 9879 .117 .356 5 9 4 5 54 45 97 4892 5i8 7 5483 5779 6075 5 55 n.o5c93a 1071 i3io 1 549 1788 2027 4 55 6372 6668 696517262:7559:7856 8750 9048.9346 9645 4 56 2266 25062745 2 9 85 3225 3465 3 56 8i54 8452 3 5? * 3 7 o539454i85 4426 4666 4907 2 5 7 9943 .242 .542 .84i n4ili44o 2 58 5i485389563o 58 7 i 6112 6354 I 58 1 1 .i5i74o 2o4l 234 I 2642J2942 3243 1 5 9 6596,6837 7079 7321 7563 7806 O 5_9 3545 3846;4i48!4449|4752 5o54 fiO" i 50" j 40" 30" JO" 10" CO" 50" | 40" I 30* 1 20" 1 10' | Co-tangent of 5 Degrees. Co-tangent of 4 Degrees. P Part J l " 2 " 3 " 4 " 5 " (J " 7 " 8" 9" l * ri ) 22 41 GG 88 110 132 154 177 199 p ( 1" 2" 3" 4" 5" 6" 7" 8" 9" 1 . I urt ^ 2 . 54 gl , 08 13 - 1(]2 ]g8 15 242 110 ^Logarithmic Sines. Sine of 86 Degrees. 40" 5C Sine of 87 Degrees. 10" 20" 30" 49' 5C o I 2 3 4 5 6 7 8 9 IO II 12 i3 i4 1 5 1 6 17 18 *9 20 21 22 23 *4 26 2 7 25 29 3o 3i 32 33 34 35 36 3? 38 3 9 4o 4i 4'= 43 44 45 46 47 45 4 9 5o 5i 52 53 54 55 56 5 7 58 5 9 9.998941 8950 8967 8976 8993 9002 9010 9019 999027 9036 9044 9o53 9061 9069 9077 9086 9094 9102 9991 10 9118 9126 9134 9142 9i5o 9i58 9166 9174 9181 9.999189 9197 9205 9212 9220 9227 9235 9242 9250 9257 9.999265 9272 9279 9287 9294 9301 9308 931 5 9322 9329 9.999336 9343 935o 9 35 7 9364 9 3 7 i 9 3 7 8 9384 9391 9398 8942:8944894518947 8951 895389548955 89608961 89638964 8969'897o 8971 8973 8977 8979 8980 8982 8986,898789898990 899589968997 8999 9003 90059006 9007 9012 9013 9015 9016 9020 9022 9023 9024 9029 9030 9032 9033 9037 9039 9040 J904 1 9046" 9047 9048 19050 9054 9055 9057 9058 9062 9064 9065 9066 907^9072 9073 9075 9079 9080 9082 9083 9087 90889090 9091 9095 9097 9098 9099 8 9 5 7 8966 8 97 4 9103 9ip5 9106 9111 9113J9114 9120 912119122 9128 9129 9130 91 36 91 3791 38 9143 9145,9146 91 5 1 91 53 9154 9159 9161 9162 9167 9168,9170 9175 9176^178 gi83 9i84:9i85 9190 919219193 9198 9199 9201 9206 92079208 9213 9215 9216 1 9222 9224 9229 9230 9231 9236 9237 9239 9244 9245 9246 9251 9252 9254 9258 9260 9261 9266 9267 9268 9273 92749276 9280 9282*9283 9288 9289 9290 9295 9296 9297 9302 93o3|93o5 9309 9310.9312 9316 9318 9319 9323 9325:9326 933i 9332'9333 9338 9339 ! 934o 9344 9346J9347 935i|93539354 9358 9359 9361 9365J9366 9367 9107 91 15 9124 9132 9140 9147 9i55 9i63 9171 9179 8992 9000 9009 9017 9026 9034 9043 9o5i 9059 9068 9076 9084 9092 9101 9109 9117 9125 9i33 9141 9149 9 l5 7 9i65 9172 9180 9372 9373 9379I9380 9385 9392 9399 50" 9 38 7 9393 94oo 9374 938l 9394 94oi 91879188 91949196 9202 02o3 9210 9211 92179219 9225 9226 9232:9234 9240 9241 92479249 9255,9256 9262 9263 9270J927I 92779278 92849285 929IJ9293 9299 9300 9306:9307 93I3J93I4 9320 9321 93279328 9334^335 9341:9342 9348:9349 93559356 9362 9363 9369 9370 9 3 75 9 3 77 9382 9383 9389 9390 93969397 9402 94o3 20" 10" Co-sine of 3 Decrees. 3 4 5 6 7 8 9 id 1 1 12 1 3 i4 i5 16 r 7 18 I( ; 20 21 22 2 3 24 2 5 26 27 25 29 3o 3i 32 33 34 35 36 37 38 39 4o 4i 4a 43 44 45 46 47 45 4 9 5o 5i 52 53 54 55 50 5 7 58 5 9 .999404 941 1 94i8 9424 943 1 9 43 7 9443 945o 9456 9463 999469 9475 948i 9487 9493 95oo 95o6 9512 9 5i8 9524 .999529 9 535 9541 9547 9 553 9 558 9564 9 5 7 9 5 7 5 9581 .999586 9 5 9 2 9 5 97 9603 9608:9 9406 9412 9419 9425 9 432 9438 9445 945 1 9457 9464 9470 9476 9482 9614 9619 9624 9629 9 635 .999640 9645 965o 9 655 9660 9665 9670 9 6 7 5 9680 9 685 .999689 9694 9699 9704 9708 9713 9717 9722 9726 9 7 3! 9495 95oi 9 5o 7 95i3 9 5i 9 9525 953o 9 536 9542 9548 9 554 9559 9565 9 5 7 i 9 5 7 6 9 582 9 58 7 9 5 9 3 9 5 9 8 9604 609 9407 94i3 9420 9426 9 433 9439 9446 9452 9 458 9465 9471 9477 9483 9489 9496 9502 95o8 95i4 9520 9526 953i 9 53 7 9543 9549 9 555 9560 9566 9 5 7 2 9 5 77 9583 9614 9620 9625 9630 9 635 9641 9 646 965i 9 656 9661 9666 9671 9676 9690 9695 9700 9704 9709 9714 9718 9723 9727 9732 9594 9 5 99 9605 9610 9615 9621 9626 9631 96 36 9641 9647 9652 9 65 7 9662 9667 9672 9677 9681 9686 9691 9696 9700 97 o5 9710 9714 9719 9723 9728 97 32 9408 94i4 9421 9427 9434 944o 9447 9453 9459 9466 9472 9478 9484 9490 9497 95o3 9509 95i 5 9521 9 52 7 9532 9 538 9544 955o 9 556 9561 9 56 7 9 5 7 3 9 5 7 8 9 584 9589 9595 9600 9606 9611 9616 9622 9627 9632 y 63 7 9642 9647 9 653 9 658 9 663 9668 9672 9677 9682 9687 9692 9697 9701 9706 9711 97 i5 9720 9724 97 2 9j 97 33| 9409 94:5 9422 9428 9 435 944i 9448 9454 9460 9467 9473 9479 9 485 9491 95o4 95io 9516 9522 9 52 7 9 533 9539 9 545 955i 9 55 7 9562 9 568 9 5 7 3 9 5 79 9 585 9590 9596 9601 9606 9612 9617 9622 9628 9 633 9 638 9643 9 648 9 653 9 658 9 663 9668 9 6 7 3 9678 9 683 94io 9416 9423 943o 9436 9442 9449 9455 946i 9 468 9474 9480 9486 9492 9499 95o5 95n 9 5i 7 9523 9 5 2 8 9534 9540 ?546 9552 9 55 7 9 563 9569 9 5 7 4 9580 9586 9 5 9 i 9 5 97 9602 9607 9613 9618 9623 9629 9 634 9639 9644 9649 9654 9659 9664 9669 9674 9679 9684 9689 9693 9698 97 3 9707 9693 9697 9702 9707 971 1 J9712 97169717 9720 9721 9725*9726 9729I9730 973419735 50" I 40" I 30" I 20" Co-sine of 2 Degrees. 59 58 57 56 55 54 53 5 2 5i 5o 49 48 47 46 45 44 43 42 4i 4o 39 38 37 36 35 34 33 32 3 1 3o 29 25 27 26 2 5 24 23 l\ Tart 1" 2" 3" 4" 1 6" 7" 8" 9" 1111 p v .(1" 2" 3" 4" 5" ,i.art^ 1 6" 7" 8" 9" 1 1 1 J jOGAEITHMH r A N O E K T S. 111 .5 9 Tangent of 86 Degrees. i Tangent of 87 Degrees. 0" 10" 20" 30" 40" I 50" 0" 10" 1 20" 30" 40" 50" 1 1 1. 1 55356 565 9 5962 6265 65686872 5o 11.280604 IOO7J14H 1814 2219 262J 5o I 7175 7479 7784 8088 83938697 58 1 3028 3433 3839 4245 4652 5o58 58 2 9002 93o8 96l3 9919 .224 .53o 5? 2 5466 5873J628i 6689 7C98 7507 5 7 3 11.160837 n43 i45o 1757 2064 2371 56 3 7917 8326 8737 9147 955819970 56 4 2679 2987 3295 36o3 3911 4220 55 4 11 .290382 0794 1206 1619 2o33 2446 55 5 4529 4838 5i47 545 7 576616076 54 5 2860 3275 3690U105 452i U937 54 6 6387 6697 7008 7 3i8 7629:7941 53 6 5354 5 77 o 6i8866o5 702417442 53 7 8252 8564 8876 9188 95009813 52 7 7861 8280 8700 9120 9541 9962 52 S : 1 . 170126 0439 0752 1066 1 3 79 1693 5 1 8 n.3oo383 o8o5 1227 1649 2072 2496 5i 9 2008 2322 2637 2951 3267 3582 5o 9 2919 3344 3768U193 4619 5o44 5o 10 38 97 42i3 4529 4845 5i62 5478 4 9 10 547i 5897 6325I6752 7180 7608 49 1 1 5 79 5 6112 643o 6747 7065 7383 48 1 1 8037 8466 889619326 9756 .187 48 12 7702 8020 8339 8658 8977 9297 47 12 1 1 .310619 io5o i483 1915 23482782 47 i3 9616 9936 a56 .5 7 7 .897 1218 46 1 3 32i6 365o 4o85 4520 4956 5392 46 i4 11.181539 i860 2182 25o4 2826 3i48 45 i4 5828 6265 6702 7140 7578 8017 45 i5 347i 3793 4u6 444o 4763 5087 44 1 5 8456 8896 9336 9776 .217 .659 44 16 54i 1 5735 6059 6384 6709 7o34 43 16 11 .321100 1 543 1985 2428 2872 33i6 43 17 7 35 9 7 685 801 1 833 7 8663 8990 4a '7 3 7 6i 4206 465i 5o 97 55435990 42 18 9 3i 7 9644 9971 .299 .626 .954 4 1 18 643? 6885 7333 7782 823i 8C80 4i J 9 11 191283 1611 1940 2269 2598 2928 4o r 9 9i3o 9581 ..32 .483 .935 1387 4o 20 3258 3588 3 9 1 8 4249 45 79 4910 39 20 n.33i84o 2293 2747 320I 3656 4m 39 21 5242 55 7 3 5905 6237 656916902 8568 8902 38 21 456 7 5o23 548o 5 9 3 7 63 9 4685 2 38 22 7235 7568 7901 8235 37 22 73u 7770 S229 8689 9i5o 961 1 3 7 23 9 23 7 9 5 7 i 9906 .241 .577 .912 36 23 11 .340072 o534 0996 1459 1923 2387 36 24 11 .201248 1 584 1921 2257 2594 2931 35 2 4 285i 33i6 3 7 8i 4247 4714 5i8o 35 25 3269 36o6 3 9 44 4282 4621 4960 34 25 5648 6116 6584 7o53 7522 7992 34 26 5299 5638 5977 63i 7 665 7 6997 33 26 8463 8 9 33 9 4o5 9877 .349 .822 33 27 7338 7679I8020 836i 8703 9045 32 27 11 .351296I1770J2244 2719 3195 36 7 i 32 28 9387 9729 ..72 .4i5 758 1102 3i 28 4147 4624'5l02 558o 6059 6538 3i 29 11 .2ii446 1790 2l34 2479 2823 3169 3o 29 7018 7498 7979 846o 8942 9424 3o 3o 35i4 386oj42o6 455a 48985245 29 3o 9907 .390 8 7 4 1359 i844 232 9 29 3i 55 9 2 5939 6287 6635 69837331 28 3 1 11. 362816 33o2 3789 4277 4765 5 2 54 28 32 7680 8029 83 7 8 8728 9078 9428 -7 3 2 5 7 44 623416724 72i5 7707 81 99 27 33 9778 .129 .48o .83i n83 i534 2(3 33 8692 9i85 9679 .i 7 3 .668 n64 2C 34 11. 221886 2239 2591 2944 3298 365i 25 34 1 1 .37i66oj2i56'2654 3i5i 365o 4149 25 35 4oo5 435c; 47i3 5o68 5423 5 77 8 24 35 4648 5i48 5649 6i5o 6652 7i54 24 36 6i34 648 9 6845 7202 7 558 79 i5 23 36 7657 8161 8665 9170 9675 .181 23 37 8273 863o 8988 9 346 97 o5 ..63 22 37 11 .380687 1 194 1702 2210 2719 3228 22 38 II .23o422 0782 n4i i5oi 1861 2222 21 38 373842494760 5272 5 7 85 6298 21 39 2583 2944 33o5 366 7 4029 4391 20 3o 681 1 7325'784o 8356 8872 9388 20 4o 4754 5n6 548o 5843 6207 65 7 i i 9 !4o 9906 .424 U42 i46i 1981 25oi '9 4i 6 9 35 73oo 7 665 8o3o 83 9 6 8762 18 4 1 1 1 .393022 3544 4o66 458 9 5n3 563 7 18 4a 9128 9495 9861 .229 .5 9 6 .964 17 42 6161:66877213 7740 8267 8 79 5 '7 43 11 .24i332 1700 2069 2438 2807 3i 77 16 43 q323 9853!.382 .913 1 444 1976 16 44 3547 3 9 i 7 4288 4659 5o3o 54oi i5 44 11 .4o25o8 3o4iJ3575 4no 4645 5i8o i5 45 5 77 3 6i45 65i8 6891(7264 7637 i4 45 5717 6254 6792I7330 7869 8409 14 46 801 1 8385 8759 9i34'95oo 9884 i3 46 8949 9490L.32I.574 1117 1661 i3 47 1 1 .250260 o636 1 01 2 1389 176612143 12 47 II .4l2205 ? 7 5i 13296 3843 4390 4938 13 48 2521 2899 3277 3656 4o34 44i4 11 48 5486 6o36 6586 7136 7688 8240 11 4 9 4793 5i73 | 5553!5 9 34 63i5 6696 10 4 9 8792 9346 9900I .455 IOIO 1 566 10 5o 70787460784282248607 8991 9 5o II. 422123 2681I3240I3799 4358(4919 I 5i 9374197581.142 .527 .91a 1 1 .26i683 | 2o69 ! 2455 2842 3229 1297 * 5, 5480 6042,660517168 77338398 5a 36i6 7 52 6863 943o 9997 .565 1 1 33 1702 7 53 4oo4 '4392 J478o'o 169 5558 5 9 47 6 53 11.432273 2843 34i5!3 9 8 7 62846860(7437 456o'5i34 6 54 6337 6727J71 17 7508 789918291 5 54 5709 8oi5JS593 5 55 868319075 9467 9860 .254 .647 4 55 9172 9752'.333(.9i5 14972080 4 58 11,371041 i435 i83o 2225 2620 3oi6 I 56 11.442664 3a48|3834442o 5007 5595 3 5 7 34i2|38o9|42o6;46o3 5ooo 5398 2 5? 6i83 6773(73637954 8546 9138 2 58 5796.6195 6594 6993. 7393 779'i 1 58 9732 .326'^pi 1 517 aii3 97i 1 ii 819418595 8996 '9397 9799 .202 59 1 1 .4533093908 45o8 5109 5711 63i3 60" j 50" | 40" | 30" | 20" j 10" 3 0" 1 Mr | 4:v | 30" | 20" j 10" i Co-tangent of 3 Degrees Co-tangent of 2 Degrees. p Part \ 1 " 2 " 3 " 4 " 5 " (i " 7 " 8 " ! '" P uri \ 35 09 101 138 173 207 2 12 27fi 311 ' ^ 1" 2" 3" 4" 5" <5" 7" 8" 9" 1 llrI 1 48 97 143 193 242 290 338 387 435 112 Logarithmic Sines. Sine of 88 Degrees. i Sine of 89 Degrees. 1 i i 0" 10" 20" 30" 40" 50" 0" 10" 20" 30" 40" 50" o 9.999735 97 36 97 3 7 973*8 9738 9739 5 9 9-999934 9934 9935 9935 9935 9936 5 9 I 9740 9740 97 4i 9742 9743 9743 58 I 9936 9936 99 3 7 99 3 7 99 3 7 9938 58 2 9744 97 45 9746 9746 9747 9748 57 2 9938 99 3 9 99 3 9 99 3 9 9940 9940 57 3 9748 9749 97 5o 97 5i 97 5i 97 5 2 56 3 9940 99 4i 99 4i 99 4i 9942 9942 56 4 97 53 97 53 97 54 97 55 97 56 9756 55 4 9942 9943 9943 9943 9944 9944 55 5 97 5 7 97^8 9758 97 5 9 9760 9760 54 5 9944 9945 9945 9945 9946 9946 54 6 9761 9762 97 63 9763 9764 976553 6 9946 9947 9947 9947 994S 9948 53 7 97 65 9766 9767 9767 9768 9769 52 7 , 9948 9949 9949 9949 9950 9950 52 8 9769 9770 9771 9772 9772 977 3 5i 8 9950 99 5i 99 5i 99 5i 9952 9952 5i 9 9774 9774 977 5 9776 9776 9777 5o 9 9952 9953 9953 9953 9953 9954 5o 10 9.999778 9778 9779 9780 9780 9781 49 10 9.999954 9954 9955 9955 9955 9956 49 ii 9782 9782 97 83 9784 9784 97 85 48 11 9956 9956 9956 9967 99 5 7 99 5 7 48 12 9786 9786 9787 9788 9788 9789 47 12 9958 9958 9958 99 5 9 99 5 9 99 5 9 4 7 i3 9790 9790 9791 9792 9792 979 3 46 i3 99 5 9 9960 9960 9960 9961 9961 46 i4 9794 9794 979 5 979 5 9796 9797 45 i4 9961 9961 9962 9962 9962 9963 45 i5 9797 9798 9799:9799 9800 9801 44 i5 . 9963 99 63 9963 9964 9964 9064 44 16 9801 9802 98039803 9804 9804 43 16 9964 9965 9965 9965 9965 9966 43 17 9805 9806 9806J9807 9808 9808 42 17 9966 9966 99 6 7 99 6 7 9967 99 6 7 42 18 9809 9809 9810 9811 9811 9812 4i 18 9968 9968 9968 9968 9969 9969 4i J 9 9813 9 8i3 981419814 9815 9816 4o l 9 9969 9969 997 997 997 997 4o 20 9.999816 9817 98179818 9819 9819 3 9 20 9.999971 9971 997i 997 1 9972 997 2 39 21 . 9820 9820 9821 9822 9822 9823 38 21 9972 9972 9973 997 3 997 3 997 3 38 22 9824 9824 9825 9825 9826 9827 37 22 9973 9974 9974 9974 9974 997 5 37 23 9827 9828 9828 9829 9829 9 83o 36 23 997 5 997 5 997 5 997 6 9976 9976 36 24 9831 9 83i 9832! 9 832 9833 9 834 35 24 9976 9976 9977 9977 9977 9977 35 25 9834 9 835 9835! 9 836 9 836 9 83 7 34 25 9977 997 8 9978 997 8 99Z 8 9979 34 26 9 838 9 838 98399839 9840 9840 33 26 9979 9979 9979 9979 9980 9980 33 27 9841 9842 9842^843 9843 9 844 32 27 9980 9980 9980 9981 9981 9981 32 28 9844 9 845 98469846 9847 9847 3i 28 9981 9981 9982 9982 9982 9982 3i 29 9 848 9848 98499849 985o 9 85 1 3o 29 9982 9983 9983 99 83 9983 9983 3o 3o 9.999851 9802 98529853 9 853 9 854 29 3o 9.999983 99 8 4 99 8 4 9984 99 8 4 9984 29 3i 9854 9 855 9 856 ! 9 856 9 85 7 9 85 7 28 3i 9985 9985 9985 9985 9 9 85 9985 28 32 9868 9 858 9859 9859 9860 9860 27 32 9986 9986 9986 9986 9986 9986 2 7 33 9861 0861 9862 9863 9 863 9 864 26 33 9987 99 8 7 99 8 7 99 8 7 99 8 7 99 8 7 26 34 9864 9865 98659866 98669867 25 34 9988 9988 9988 9988 9988 9988 25 35 9867 9868 98689869 9869 9870 24 35 9989 9989 9989 9989 9989 9989 24 3C 9870 9871 9871 9872 9872 9873 23 36 9989 9990 9990 9990 9990 9990 23 3? 9873 9874 9874 9875 9875 9876 22 37 9990 9990 9991 9991 9991 9991 22 38 9876 9877 98779878 98789879 21 38 999 1 9991 9991 9992 9992 9992 21 3 9 9879 9880 98809881 9881 9882 20 39 9992 9992 9992 9992 9992 999 3 20 4o 9.999882 9 883 98839884 98849885 r 9 4o 9.999993 999 3 999 3 999 3 999 3 999 3 J 9 4i 9 885 9886 98869887 98879888 18 4i 999 3 999 3 9994 9994 9994 9994 18 42 9888 9889 98899890 9890:9891 17 42 9994 9994 9994 9994 9994 999 5 J 7 43 9891 9892 9892 ( 9892 9893)9893 16 43 999 5 999 5 999 5 999 5 999 5 999 5 16 44 9894 9894 9895 9895 98969896 9898989898989899 i5 44 999 5 999 5 999 5 9996 9996 9996 i5 45 9897 9897 i4 45 9996 9996 9996 9996 9996 9996 i*4 46 9899 9900 9900 9901 9901 9902 i3 46 9996 9996 9997 9997 9997 9997 i3 47 9902 9903 9903 9903^904 994 12 47 9997 9997 9997 9997 9997 9997 12 48 9905 9905 9906 9906 J9906 9907 11 48 9997 9997 9997 9998 9998 9998 11 49 9907 9908 9908990999099910 10 49 9998 9998 9998 9998 9998 9998 10 5o 9.999910 9910 9911 9911 9912 9912 9 5o 9.999998 9998 9998 9998 9998 9998 9 5i 99 i3 99 i3 99i3 |99 i4j99i4 99 i5 8 5i 9999 9999 9999 9999 9999 9999 8 52 99 i5 99 i5 9916 9916 9917 9917 7 52 9999 9999 9999 9999 9999 9999 7 53 9918 9918 99189919.9919 9920 6 53 9999 9999 9999 9999 9999 9999 6 54 9920 9920 99 2I ,99 2I j99 22 9922 5 54 9999 9999 9999 9999 9999 5 55 9922 9923 992399249924 9924 4 55 0.000000 0000 0000 0000 0000 0000 4 56 9925 9925 992619926 9926 9927 3 56 0000 0000 0000 0000 0000 0000 3 57 9927 9927 9928 9928 9929 9929 2 5 7 0000 0000 0000 0000 0000 0000 2 58 9929 9930 9930 9931 99 3i 99 3i 1 58 0000 0000 0000 0000 0000 0000 1 5 9 9932 9932 9932 9933 9933 9933 5 9 0000 0000 0000 0000 0000 0000 60" | 50" 40" 30" 20" 10" 3 60" 50" J 40" 30" | 20" 10" a Co-sine of 1 Degree. Co-sine of Degree. 3 r. p A 1" 2" 3" 4" 5" 6" 7" 8" 9" rart $ 000000001 P. (1" 2" 3" 4" 5" 6" 7" 8" 9" ifan \ 00 0000000 Logarithmic Tangents. 113 f Tangent of 88 Degrees. r. Tart tol". 0" 10" 20" 30" 40" 50" 11. 456916 11 .457520 i i. 458i25 11. 458731 11.459338 II .459945 09 60.6 I 46o553 46n63 461773 462383 462995 4636o8 58 61. 1 3 464221 464836 46545i 466067 466684 467302 5? 61.6 3 467926 46854o 469160 469782 470404 471027 56 62.2 4 47i65 1 472276 472902 473528 474i56 474785 55 62.7 5 4754i4 476044 476676 477308 477941 478575 54 63.3 6 479210 479 8 46 480482 48 1 1 20 481759 482398 53 63. 8 7 483o39 48368o 484323 484966 4856n 486256 53 64-4 8 486902 487549 488198 488847 489497 490148 5i 65.o 9 490800 49i453 492107 492762 493418 494075 5o 65.5 IO 11.494733 11 .495392 ir .496052 1 1 .496713 11.497375 11.498038 49 66.1 ii 498702 499367 5ooo33 500700 5oi368 502037 48 66.8 12 502707 5o33 7 8 5o4o5i 504724 5o5398 506073 47 67^4 i3 506750 507427 5o8io6 508785 509466 5ioi48 46 68.0 i4 5io83o 5ii5i4 512199 5i2885 5i3572 5i426o 45 68.6 i5 5i495o 5i564o 5i633i 517024 517717 5i84i2 44 69.3 16 5 19 1 08 519805 52o5o3 521202 521903 522604 43 70.0 n 523307 524oio 5247i5 525421 526128 526837 43 70.7 18 527546 528257 528969 529682 530396 53i 111 4i 71.3 *9 531828 532545 533264 533 9 84 5347o5 535428 4o 72.1 20 ii.536i5i 11.536876 11 .537602 n.53833o 11 .539058 11.539788 3 9 72.8 21 54o5i9 54i25i 541984 542719 543455 544192 38 73.5 22 54493o 545670 5464i 1 547i53 547896 54864i 37 74.3 23 549387 55oi34 55o883 55i632 552384 553i36 36 75.0 24 553890 554645 5554oi 556i 59 556918 557678 35 7 5.8 25 55844o 559203 559967 560733 56i5oo 562268 34 76.6 26 563o38 563809 56458i 565355 566i3o 566907 33 77.5 27 56 7 635 568464 569245 570027 57081 1 571596 32 78.3 28 572382 573170 573959 574750 5 7 5542 576336 3i 79- 29 577131 577928 578726 579525 58o326 581128 3o 80.0 3o 1;. 581932 11.582737 u.583544 n.584353 ii.585i63 u.585974 29 80.9 3i 586787 587601 5884i7 589235 590054 590874 28 81.8 33 591696 592520 593345 594172 595000 59583o 27 82.8 33 596662 597495 598330 599166 600004 6oo844 26 83.7 34 6 OI 685 602528 603372 604218 6o5o66 605915 25 84-7 35 606766 607619 608474 609330 610187 61 1047 24 85. 7 36 61 1908 612771 6 1 3636 6i45o2 615370 616240 23 86.7 3? 617111 617985 618860 619737 620615 621496 22 87.8 38 622378 623262 624147 625o35 625924 626810 21 88.8 3 9 627708 628603 629500 630399 631299 632201 20 89.9 4o n.633io5 11 .634oi2 1 1 .634919 n.635829 1 1. 636741 1 1 .637655 '9 91. 1 4i 6385 7 o 63 9 488 640407 64i32 9 642252 643177 18 93.1 42 644io5 645o34 645965 646899 647834 648771 17 93.4 43 64971 1 65o652 65 1 595 65254i 653488 654438 16 94.6 44 655390 656343 65 7 2 99 658s57 659217 660179 i5 9 5. 9 45 66n44 6621 10 663079 664o5o 665023 665998 i4 97.2 46 666975 667955 668 9 36 669920 670907 671895 i3 98.5 4 7 672886 673879 674874 675871 676871 677873 12 99.8 48 678878 679885 680894 681905 682919 683935 1 1 101 .3 4 9 684954 685975 686998 688024 68 9 o52 690083 10 102.7 5o 1 1 .691 1 16 11 .692151 11 .693189 : 1 .694230 11 .695273 11. 696318 9 104.3 5 1 697366 698417 699470 700526 7oi584 702645 8 105.7 52 703708 704774 7o5843 706914 707988 709065 7 107.3 53 710144 71 1226 '7 1 2 3 1 1 713398 7 i4488 7 1 558 1 6 108.9 no. 5 54 ^16677 717775 718876 719980 721087 722196 5 55 723309 724424 725542 726663 727787 738914 4 113 3 56 73oo44 731176 73s3i2 7 3345i 734592 735737 3 i i4.o 5 7 736885 738o35 739189 74o346 74i5o6 742669 2 n5.8 58 743835 745oo4 746177 747352 74853i 749713 1 117. 7 5 9 750898 752087 753279 754474 755672 756874 JL 1 !:!- 60' 30" 40" 30" of 1 Degree SO" 10" . i < Uo-tangent 5 II 114 Auxiliary Table for Sines, tc. 1 E 3 s Degree. 4 | 1 Degree log. sin. A log. A''. log. tan. A log. cot A+ log. sin. A log. A". log. tan. A iOg. cot A + log. A". m S log. A". log. A". 03 3 log. A". o 4.6855 7 5 4.6855 7 5 l5.3l4425 60 36oo 4.685553 4.6856i 9 i5.3i438i 60 60 1 5 7 5 5 7 5 425 5 9 366o I 552 620 38o 5 9 120 2 5 7 5 5 7 5 425 58 3720 2 55i 622 378 58 180 3 5 7 5 5 7 5 425 5? 3780 3 55i 623 377 57 24o 4 5 7 5 5 7 5 425 56 384o 4 55o 625 375 56 3oo 5 5 7 5 5 7 5 425 55 3900 5 549 627 373 55 36o 6 5 7 5 5 7 5 425 54 3960 6 548 628 372 54 420 7 5 7 5 5 7 5 4a5i53 4020 7 547 63o 3 7 o 53 48o 8 5 7 4 5 7 6 424 52 4o8o 8 547 632 368 5a 54o 9 5 7 4 5 7 6 4a4 5i 4i4o 9 546 633 367 5i 600 10 4.6855 7 4 4.685576 i5.3i4424 5o 4200 10 4.685545 4.685635 i5.3i4365 5o 660 11 5 7 4 576 424 49 4260 1 1 544 63 7 363 4 9 720 12 5 7 4 5 77 423 48 4320 12 543 638 362 48 780 1 3 5 7 4 5 77 423 47 438o i3 542 64o 36o 47 84o i4 5 7 4 5 77 423 46 444o i4 54i 642 358 46 900 i5 573 5 7 8 422 45 45oo i5 54o 644 356 45 960 16 5 7 3 5 7 8 422 44 456o 16 539 646 354 44 1020 *7 5 7 3 5 7 8 422 43 4620 17 539 647 353 43 1080 18 5 7 3 5 79 421 42 468o lb 538 64g 35i 42 n4o J 9 5 7 3 5 79 421 4i 474o : 9 537 65i 349 4i 1200 20 4.685572 4.68558o i5.3i442o 4o 48oo 20 4.685536 4.685653 i5. 3i4347 4o 1260 21 572 58o 420 3 9 486o 21 535 655 345 39 l320 22 572 58i 419 38 4920 22 534 65 7 343 38 i38o 23 572 58i 419 37 4980 23 533 65 9 34i 37 i44o 24 5 7 i 582 4i8 36 5o4o 24 532 661 339 36 i5oo 25 5 7 i 583 417 35 5 1 00 2 5 53i 663 337 35 i56o 26 5 7 i 583 417 34 5 1 60 26 53o 665 335 34 1620127 570 584 416 33 5220 27 529 668 332 33 168028 570 584 4i6 32 5280 28 527 670 33o|32 174029 570 585 4i5 3i 534o 29 5 2 6 672 328 3i 1800 3o 4.68556 9 4.685586 i5.3i44i4 3o 54oo 3o4- 685525 4.685674 i5.3i4326 3o i86o3i 56 9 58 7 4i3 29 546o 3i 5 2 4 676 324 29 1920 32 56g 58 7 4i3 28 5520 32 5 2 3 679 321 28 1980 33 568 588 412.27 558o 33 522 681 319 27 2o4o 34 568 58 9 4n 26 564o 34 521 683 3i7 26 2100 35 56 7 590 4io 25 5700 35 520 685 3i5 25 2160 36 56 7 591 409 24 5760 36 5i8 688 3l2 24 2220 37 566 592 4o8 23 5820 37 517 690 3io 23 2280 38 566 5 9 3 407 22 588o 38 5i6 693 307 22 234o 39 566 593 407 21 5940 39 5i5 6 9 5 3o5 21 2400 4o 4.685565 4.6855 9 4 i5.3i44o6 20 6000 4o 4.6855i4 4.685697 i5.3i43o3 20 2460 4i 565 5 9 5 4o5 *9 6060 4i 5l2 700 3 00 !9 2520 42 564 5 9 6 4o4 18 6120 42 5n 702 298 18 258o43 564 5 9 8 4o2 17 6180 43 5io 7o5 295 17 2640 44 563 5 99 4oi 16 6240 44 509 707 293 16 2700 45 562 600 4oo i5 63oo 45 507 710 290 15 2760 40 562 601 399 i4 636o 46 5o6 7 i3 287 i4 2820 47 56i 602 398 i3 6420 47 5o5 7i5 285 i3 2880 48 56i 6o3 397 12 648o 48 5o3 718 282 12 2940 49 56o 6o4 396 11 654o 49 502 720 280 11 3ooo 5o 4.68556o 4.6856o5 15.314395 10 6600 5o 4.6855oi 4.685 7 23 i5. 314277 10 3o6o 5i 55 9 607 393 9 6660 5i 499 7 2 6 274 9 3l20 52 558 608 392 8 6720 52l 498 729 271 8 3i8o 53 558 609 391 7 6780 53 497 7 3i 269 7l 324o 54 55 7 611 389 6 684o 54 495 734 266 6 33oo 55 556 612 388 5 6900 55 494 737 263 I 336o 56 556 6i3 387 4 6960 56 492 740 260 4 3420 5 7 555 6i5 385 3 7020 5? 491; 743 257 3 348o 58 554 616 384 2 7080 53 490J 745 2 55 2 354o 59 554 618 382 1 7140 5 9 488 7 48 252 I log. cos. A log. cot A log. tan. A-f. < log. cos. A log. cot A log. tan. A+ OB log. c. A". log. c. A". log. c. A." 2 .a 2 log. c. A", log. c. A". log. c. A''. 8 3 .3 3 89 Degrees. 88 Degrees. Logarithmic Tangents. 115 ! , ! Tangent of 89 Degrees 1 1 P. Part tol". s 0" 10" 20" 30" 40" 50" o 11 .758079 11.759287 II .760498 11. 761714 11 .762932 II .764l54 5 9 121 .7 I 765379 766608 767840 769076 77o3i5 77i558 58 123.8 2 772805 774o55 775308 776566 777826 779091 5 7 125.9 3 780359 781631 782907 784186 785470 786757 56 128. 1 4 788047 789342 790641 791943 79325o 79456o 55 i3o.4 5 795874 797192 7985i5 799841 801171 8o25o6 54 i32.8 6 8o3844 805187 8o6534 8o 7 885 809240 810600 53 135.3 7 811964 8i3332 814704 816081 817462 818847 52 i3 7 . 9 8 820237 821632 823o3i 824434 8a5842 827255 5i i4o.6 9 828672 830094 83i520 832951 834387 835828 5o 143.4 IO 11.837273 11.838724 11. 840179 11. 841639 n.843io4 11.844574 4 9 i46.a ii 846o48 847528 849013 85o5o3 851999 853499 48 149.3 12 855oo4 8565i5 858o3i 85 9 553 861079 862611 47 152.4 i3 864i49 865692 867240 868794 870354 871919 46 i55. 7 i4 873490 875067 876649 878237 879831 88i43i 45 159. 1 i5 883o37 884648 886266 887890 889519 891155 44 162.7 16 892797 8 9 4446 896100 897761 899429 901103 43 166.4 *7 902783 904470 906163 907863 909569 911283 42 170.3 18 9i3oo3 914730 916464 918205 919953 921707 4i 174.4 *9 923469 925239 927015 928799 930590 932388 4o 178.7 20 11 .934194 11 .936008 11 .937829 11.939658 11. 941494 11.943338 39 i83.3 21 945191 947051 948919 950795 952679 954572 38 188.0 22 956473 9 58382 960299 962225 964160 966103 37 193.0 23 968o55 970016 971986 973965 975952 977949 36 198.3 24 97 99 56 981971 983996 986030 988074 990128 35 203.9 25 992191 994264 996347 998440 1 2.ooo543 12.002657 34 209.8 20 12.004781 12.006915 12.009060 I2,OII2l5 oi3382 oi5559 33 216.2 27 017747 019946 022l56 024378 02661 1 028855 32 222 7 28 o3im 033379 o35659 o3795l o4o255 042572 3i Z2 9 .3 29 044900 047242 049596 o5l963 o54342 056735 3o 237.3 3o 12.059142 i2.o6i56i 12.063994 I 2. o6644l 12.068902 12.071377 29 245 4 3i 073866 076369 078887 o8l4l9 083966 086529 28 254.0 32 089106 091699 094308 O96932 099572 102228 27 263.2 33 104901 107590 110296 113019 115760 118517 26 273.2 34 121292 i24o85 126896 129726 132574 1 3544o 25 283.9 35 i38326 l4l23l i44i56 147100 i5oo65 i53o5o 24 295.4 36 i56o56 159082 i62i3o 165199 168290 171404 23 3o8.o 37 174540 177698 180880 i84o85 .i8 7 3i4 190567 22 321.7 38 193845 197148 200476 2o383o 207210 2 1 06 1 6 21 336.7 39 214049 217510 220998 2245i5 228060 23i635 20 353.1 4o 12.235239 12.238873 12.242538 12.246235 12. 249963 i2.253 7 23 *9 371 .a 4i 257516 261342 2652o3 269098 273028 276995 18 391.3 42 280997 285o37 289115 293232 297388 3oi584 17 4i3.6 43 3o582i 3ioioo 3l4422 318787 323ig6 327650 16 438. 7 44 332i5i 336698 341294 345939 35o634 35538i i5 467.0 45 36oi8o 365o32 369940 374903 379924 385oo4 i4 499.2 46 390143 3 9 5345 400609 4o5 9 3S 4n333 416796 i3 536.2 47 422328 427932 433610 43 9 362 445192 45noo 12 579.1 48 457091 463i65 469325 475574 48 19 1 5 488349 11 629.4 49 494880 5oi5io 508244 5i5o83 522032 529094 10 689.4 5o 12.536273 12.543572 12.550996 12.558549 12.566236 12.574061 9 5i 582o3o 590148 598421 6o6854 6i5454 624228 8 52 633i83 642327 651667 661212 670972 680956 7 53 691175 701641 712365 723360 73464i 746223 6 54 758122 770357 782946 79591 1 809275 823o63 5 55 *8373o4 852027 867267 883o6i 899452 9 i6485 4 56 934214 952697 972002 99220C i3.oi3395 i3. 035671 3 r >7 13. o59i53 13.083976 1 3 . 1 io3o5 i3. 138334 168297 20048a a 58 235244 273032 3i4425 36oi83 4u335 469327 1 5 9 536274 6i5455 712365 8373o4 14.013395 i4.3i4425 00" 50" 40" 30" 30" 10" 5 X . 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2944 1924 28 33 2179 3i5i 3884 4376 4622 4620 4367 386o 3096 2072 27 34 2364 3332 4o6i 4548 4791 4785 4527 4oi6 3248 2219 26 35 2549 35i3 4238 4721 4959 4949 4688 4172 3399 2366 25 36 2734 3693 44i5 48 9 4 5i28 5n3 4848 4328 355i 25i4 24 3 7 2918 38 7 4 4591 5o66 5296 5278 5oo8 4484 3702 2661 23 38 3io3 4o55 4768 5239 5465 5442 5i68 464o 3854 2808 22 39 3287 4235 4944 54i 1 5633 56o6 5328 4795 4oo5 2955 21 4o 773472 784416 795121 8o5584 8i58oi 825770 835488 84495i 854i56 863io2 20 4i 3656 4596 5297 5 7 56 5969 5 9 34 5648 5 1 06 43o8 3249 l 9 42 384o 4776 5473 5928 6i38 6098 5807 5262 445 9 3396 18 43 4024 4957 565o 6100 63o6 6262 5967 5417 4610 3542 17 44 4209 5i3 7 5826 6273 6474 6426 6127 55 7 3 4761 3689 16 45 4393 53i 7 6002 6445 6642 6590 6286 5728 4912 3836 i5 46 45 77 5497 6178 6617 6809 6753 6446 5883 5o63 3982 i4" 47 4761 5677 6354 6788 6977 6917 66o5 6o38 52i4 4128 i3 48 4944 585 7 653o 6960 7 i45 7081 6 7 64 6193 5364 4275 12 4 9 5i28 6037 6706 7132 7 3i3 7244 C924 6348 55i5 4421 11 5o 775312 786217 796882 807304 817480 827407 837083 8465o3 855665 86456 7 :o 5i 5496 63 9 6 7 o5 7 7475 7 648 7 5 7 i 7242 6658 58i6 47i3 9 52 5679 6576 7233 7647 78i5 7734 7401 68i3 5 9 66 486o 8 53 5863 6 7 56 7408 7818 7982 7897 756o 6967 6117 5oo6 7 54 6o46 6 9 35 7584 7990 8i5o 8060 7719 7122 6267 5i5i 6 55 623o 7114 77 5 9 8161 8317 8223 7878 7277 6417 5297 5 56 64i3 7294 79 35 8333 8484 8386 8o36 743 1 6567 5443 4 57 6596 7473 8110 85o4 865i 8549 8195 7585 6718 5589 3 58 6780 7652 8285 86 7 5 8818 8712 8354 7740 6868 5 7 34 2 5 9 6963| 7 832 846o 8846 8 9 85 88 7 5 85i2 7894 7017 588o 1 39 | 38 37 36 35 34 33 32 31 30 .3 a I Natural Co-sine s. tol"". 3 ' 8 3.02 2.95 2.88 2.81 2.75 2.68 2.60 2.53 a.46 1 Natural Tangents. 127 i 50 51 52 53 54 55 56 57 58 59 o 1.19175 1.23490 1.27994 1.32704 1.37638 1.42815 1.482 56" 1.53986 i.6oo33 1.6C428 60 I 9246 3563 8071 a 7 85 7722 2903 8349 4o85 oi3 7 6538 5 9 2 9316 363 7 8i48 2865 7807 2992 844a 4i83 0241 6647 58 3 9 38 7 3710 8225 2946 7891 3o8o 8536 4281 o345 6 7 5 7 5 7 4 9457 3 7 84 83o2 3026 7976 3169 8629 4379 o449 6867 56 5 9528 3858 83 79 3107 8060 3258 8722 4478 o553 6978 55 C 9 5 99 3931 8456 3187 8i45 3347 8816 45 7 6 0657 7088 54 7 9669 4oo5 8533 3268 8229 3436 8909 46 7 5 0761 7198 53 8 9740 4079 8610 3349 83i4 3525 9003 4774 o865 7 3o 9 52 9 981 1 4i53 8687 343o 8399 36i4 9097 48 7 3 0970 . 74i9 5i IO 1. 19882 1.24227 1.28764 i.335ii 1.38484 1.43703 1. 49 1 90 1.54972 1. 61074 1.67530 5o ii 9953 43oi 8842 3592 8568 3 79 2 9284 5071 1179 7641 49 12 1.20024 43 7 5 8919 36 7 3 8653 388i 9378 5170 1283 77 52 48 i3 0095 4449 8997 3 7 54 8738 3 97 o 9472 5269 i388 7 863 47 i4 0166 4523 9074 3835 8824 4o6o 9 566 5368 1493 7974 46 i5 0237 45 97 9152 3916 8909 4i49 9661 546 7 1598 8o85 45 16 o3o8 4672 9229 3998 8994 4239 9755 556 7 1703 8196 44 7 0379 4746 9 3o 7 4079 9079 4329 9849 5666 1808 83o8 43 18 o45 1 4820 9385 4 1 60 9165 44i8 9944 5766 1914 8419 42 *9 OJ22 48 9 5 9 463 4242 9250 45o8 i.5oo38 5866 2019 853i 4i 20 I.20593 1.24969 1. 29541 1.34323 1.39336 1.44598 i.5oi33 1.55966 1. 62125 1.63643 4o 21 o665 5o44 9618 44o5 9421 4688 0228 6o65 223o 8 7 54 39 22 0736 5n8 9696 448 7 9507 4778 o322 6i65 2336 8866 38 23 0808 5193 977 5 4568 9593 4868 0417 6265 2442 8979 37 24 0879 5268 9853 465o 9679 4958 o5i2 6366 2548 9091 36 25 0951 5343 99 3i 4732 9764 5o49 0607 6466 2654 9203 35 26 1023 54i7 i. 30009 48i4 985o 5i39 0702 6566 2760 9316 34 27 1094 5492 0087 4896 9936 5229 0797 6667 2866 9428 33 2 1166 5567 0166 4978 1.40022 5320 0893 6767 2972 954i 32 29 1238 5642 0244 5o6o 0109 54io 0988 6868 3079 9 653 3i 3o : ai3io 1. 25717 i.3o323 i.35i42 1. 40195 i.455oi i.5io84 1.56969 i.63i85 1.69766 3o 3i i382 5792 o4oi 5224 028: 5592 1179 7069 3292 9879 29 32 i454 586 7 o48o 5307 0367 5682 1275 7170 33 9 8 9992 28 33 , i526 5 9 43 o558 5389 o454 5 77 3 1370 7271 35o5 1. 70106 27 34 1 5 9 8 6018 0637 5472 o54o 5864 i466 7 3 7 2 36i2 0219 26 35 1670 6093 0716 555.4 0627 5 9 55 i562 7A7A 3 7 i 9 o332 25 36 1742 6169 o 79 5 563 7 0714 6o46 i658 7 5 7 5 3826 o446 24 3? 1814 6244 0873 5719 0800 6137 1754 7676 3 9 34 o56o 25 38 1886 6319 0952 58o2 0887 6229 i85o 7778 4o4i 0673 22 3 9 i 9 5 9 63 9 5 io3i 5885 0974 632o 1946 7879 4i48 078721 4o J.2203I 1. 26471 i.3iiio 1.35968 1.41061 i.464ii i.52o43 1. 57981 1.64256 1. 70901 20 4i 2Io4 6546 1190 6o5i u48 65o3 2139 8o83 4363 ioi5 19 42 2I76 6622 1269 6i34 1235 65g5 2235 8i84 447i 1129 18 43 2249 6698 1 348 6217 1322 6686 2332 8286 4579 1244 17 44 2321 6774 1427 63oo 1409 6778 2429 8388 468 7 i358 16 45 2394 6849 1 507 6383 1497 6870 2525 8490 479 5 i473 i5 46 2467 6925 i586 6466 1 584 6962 2622 85 9 3 4903 i588 i4 47 2539 7001 1666 654y 1672 7o53 2719 86 9 5 5ou 1702 1 3 48 26l2 7077 1745 6633 i 7 5 9 7146 2816 8797 5 1 20 1817 .2 49 2685 7i53 1825 6716 1847 7 238 2913 8900 5218 i 9 3- ii 5o :.22 7 58 1.27230 1. 31904 i.368oo 1.41934 i.4733o i.53oio 1.59009 i.6533 7 i.7'j<>47 10 5i 283i 73o6 1984 6883 2022 7422 3107 9io5 5445 216.', 52 2904 7 382 2064 6967 21 IO 75i4 32o5 9208 5554 227* 6 53 2977 7458 2144 7o5o 2198 7607 33o2 93n 5663 2393 7 54 3o5o 7535 2224 7i34 2286 7699 34oo 94i4 5 77 2 2509 (i 55 3:23 761 1 23o4 7218 2374 7792 3497 9 5i 7 588i 2()2 5 5 56 3196 7688 23S4 7302 2462 7885 35 9 5 9620 5990 2741 .; 5? 3270 7764 2464 7 386 2 55o 7977 36 9 3 97 23 6099 2857 3 5 s 3343 7841 2544 7470 2638 8070 3791 9826 6209 2973 2 ; 5i; 34i6 7917 2624 7554 2726 8i63 ?,sss 99 3o 32 63iS 31 3o8 9 1 1 39 38 37 3G J :;.") ' 3l J 33 30 1 c *-* Ni itural C o-tanger its. P. to P. t z, 1.20 1.25 i.3i i.3 7 1. 4.; i.5i i.5 9 1.68 1.78 1.88 128 Natural Sines. jj 60 61 62 63 64 65 66 67 68 09 60 o] 866025 874620 882948 891007 898794 906308 9i3545 92o5o5 9271841933580 1 6171 4761 3o84 1 139 8922 643 1 3664 0618 7293 3685 5 9 3 63i6 4902 3221 1270 9049 6554 3782 0732 7402 3789 58 3 646 1 5o42 335 7 l402 9176 6676 3900 0846 75io 38 9 3 57 4 6607 5i83 3493 i534 9304 6799 4oi8 0959 7619 3 997 56 5 6752 5324 3629 1666 943i 6922 4i36 1072 7728 4ioi 55 6 6897 5465 3 7 66 1798 9 558 7044 4254 n85 7836 4204 54 7 7042 56o5 3902 1929 9 685 7166 4372 1299 7945 43o8 53 8 7187 5 7 46 4o38 2061 9812 7289 4490 l4l2 8o53 44i2 52 9 733i 5886 4174 2192 99 3 9 74n 4607 i525 8161 45i5 5i 10 867476 876026 884309 892323 900065 907533 914725 921638 928270 934619 5o 11 7621 6167 4445 2455 0192 7655 4842 1750 83 7 8 4723 4 9 12 77 65 6307 458 1 2586 0319 7777 4960 i863 8486 4826 48 i3 7910 6447' 4717 2717 o445 7899 5o 77 1976 85 9 4 4929 47 i4 8o54 658 7 452 2848 0572 8021 5194 2088 8702 5o32 46 i5 8199 6727 4988 2979 0698 8i43 53u 2201 8810 5i35 45 16 8343 6867 5i23 3no 0825 8265 5429 23i3 8917 5238 44 17 8487 7006 5258 324i 0951 8387 5546 2426 9025 534i 43 18 8632 7146 53 9 4 33 7 i 1077 85o8 5663 2538 yi33 5444 42 10 8776 7286 5529 35o2 1203 863o 5779 265o 9240 5547 4i 20 8G8920 877425 885664 893633 901329 908751 915896 922762 929348 (;3565o 4o 21 9064 7 565 5799 3 7 63 1455 8872 6oi3 2875 9 455 5752 39 22 9207 7704 5 9 34 38 9 4 i58i 8994 6i3o 2986 9 562 5855 38 23 935i 7844 6069 4024 1707 91 1 5 6246 3098 9669 5 9 5 7 37 24 9495 ' 79 83 6204 4i54 i833 9236 6363 32io 9776 6060 36 25 9639 8122 6338 4284 1958 9357 6479 3322 9884 6162 35 26 9782 8261 6473 44i5 2084 9478 65g5 3434 9990 6264 34 27 9926 84oo 6608 4545 2209 9 5 99 6712 3545 930097 6366 33 28 870069 853 9 6742 46 7 5 2335 9720 6828 3657 0204 6468 32 29 0212 8678 6876 48o5 2460 9841 6 9 44 3 7 68 o3i i 6570 3i 3o S70356 878817 887011 894934 902585 909961 917060 923880 93o4i8 936672 3o 3i 0499 8 9 56 7i45 5o64 2710 910082 7176 3 99I o524 6774 29 32 0642 9095 7279 5194 2836 0202 7292 4l02 o63i 6876 28 33 0785 92S3 74i3 5323 2961 o323 7408 42l3 0737 6977 27 34 0928 9372 7548 5453 3o86 o443 7523 4324 oS43 7079 26 35 1071 9510 7681 5582 3210 o563 7 63 9 4435 0950 7181 25 3G 1214 9649 7 8i5 5712 3335 0684 77 55 4546 io56 7282 24 37 i35 7 9787 7949 584i 346o 0804 7870 4657 1162 7383 23 38 1499 9925 8o83 5970 3585 0924 7986 4768 1268 7485 [22 3 9 1642 88oo63 8217 6099 3709 io44 8101 4878 i3 7 4 758621 4o 871784 880201 88835o 896229 go3834 91 1 164 918216 924989 93i48o 937687 20 4i 1927 0339 8484 6358 3 9 58 1284 833i 5099 i586 7788 l 9 42 2069 0477 8617 6486 4o83 i4o3 8446 52IO 1 69 1 7889 l8 43 2212 o6i5 8 7 5i 66i5 4207 i5 2 3 856i 5320 1797 799017 44 2354 0753 8884 6 7 44 433i i643 8676 543o 1902 8091 16 45 2496 0891 9017 68 7 3 4455 1762 8791 554i 2008 8191 i5 46 2638 1028 9i5o 7001 4579 1881 8906 565i 2Il3 8292 i4" 47 2780 1166 9283 7i3o 47o3 2001 9021 5761 2219 83 9 3 i3 48 2922 i3o3 9416 7 258 4827 2120 9i35 58 7 i 2324 8493 12 49 3o64 i44i 9549 738 7 4g5i 2239 925o 5980 2429 85 9 3 n 5o 873206 881578:889682 897515 905075 912358 919364 926090 932534 938694 10 5 1 334? 1716 9815 7643 5i 9 8 2477 9479 6200 2639 8 79 4 9 52 3489 i853 9948 7771 5322 2596 9593 63io 2 744 8894 8 53 363i 1990 890080 7900 5445 2715 9707 6419 2849 8 99 4 7 54 3 77 2 2127 02 1 3 8028 5569 2834 9821 6529 2954 9094 6 55 3914 2264 o345 8i56 5692 2953 9936 6638 3o58 9 i 9 4 5 56 4o55 2401 0478 8283 58i5 3072 92oo5o 6747 3i63 9294 4 5 7 4196 2538 0610 84n 5939 3190 oi64 6857 3267 9394 3 58 4338 2674 0742 8539 6062 3309 0277 6966 3372 9493 2 5 9 4479 2811 0874' 8666 6i85 3427 0391 7075 3476 9593 1 29 23 ! 27 | 26 25 24 23 22 21 20 2 Natural Co-sines tol. 3 - 3 9 2.3l 2.24 2. 16 2.09 2.01 1 .q3 1.86 1.78 1.70 Natural Tangents. 129 1 GO 61 G2 63 64 65 66 67 68 69 o 1.73205 i.8o4o5 1.88073 1. 96261 a.o5o3o a.i445i 2.2460/ 2.35585 2.47509 2.60509 60 I 332i 0529 82o5 6402 5i82 46i4 4780 5776 7716 0736 5 9 a 3438 o653 8337 6544 5333 4777 4g56 5967 7924 0963 58 3 3555 0777 8469 6685 5485 4940 5i32 6i58 8i3 2 1 190 57 4 36 7 i 0901 8602 6827 563 7 5io4 5309 6349 8 34o i4i8 56 5 3 7 88 1025 8 7 34 6969 5 79 o 5268 M86 654i 8549 1 646 55 6 3905 1 i5o 8867 71 1 1 5942 5432 5663 6733 8 7 58 1874 54 7 4022 1274 9000 7253 6094 55 9 6 584o 6925 8967 :-o3 53 8 4i4o 1 3 99 9i33 7 3 9 5 6247 5760 6018 7118 9177 2332 5a 9 4257 1 524 9266 7538 64oo 5925 ' 6196 73i 1 9 386 256i 5 1 IO i. 7 43 7 5 1. 81649 1.89400 1. 97681 2.o6553 2.16090 2.26374 2.37504 2.49597 2.62791 5o ii 4492 1774 9 533 7823 6706 6255 6552 7697 9807 3o2i 49 12 46io 1899 9667 7966 6860 6420 6730 7891 2.5ooi8 3252 48 i3 4728 2.02b 9801 8110 7014 6585 6909 8084 0229 3483 47 i4 4846 2i5o 9935 8253 7167 6 7 5i 7088 8279 o44o 3 7 i4 46 i5 4964 2276 1.90069 83 9 6 7321 6917 7267 8473 o652 3 9 45 45 16 5o82 2402 0203 854o 7476 7083 7447 8668 0864 4177 44 7 5200 2528 0337 8684 7630 7249 7626 8863 1076 44io 43 18 5319 2654 0472 8828 7785 7416 7806 9o58 1289 4642 4a *9 5437 2780 0607 8972 79 3 9 7582 7987 9253 l5o2 48 7 5 4r 20 1.75556 1.82906 1.9074 1 1.991 16 2.08094 2.17749 2.28167 2.39449 2.51715 2.65109 4o 21 5675 3o33 0876 9261 8 2 5o 7916 8348 9645 1929 5342 3 9 22 5 79 4 3i 5g 1012 9406 84o5 8084 8528 984i 2142 55 7 6 38 23 5913 3286 "47 955o 856o 825i 8710 2.4oo38 2357 58u 37 24 6o32 34i3 1282 9695 8716 8419 8891 0235 2571 6o46 36 25 6i5i 354o i4i8 9841 8872 8587 9073 o432 2786 6281 35 26 6271 366 7 i554 9986 9028 8 7 55 9254 0629 3ooi 65i6 34 2 7 ('390 3 79 4 1690 2.00l3l 9184 8923 9437 0827 3217 6752 33 28 65 10 3922 1826 0277 . 9341 9092 9619 IO20 3432 6989 3* 29 663o 4049 1962 042 3 9498 9261 9801 1223 3648 7225 3i 3o 1-76749 1. 84177 1.92098 2.00569 2.09654 2.19430 2.29984 2.41421 2.53865 j .67462 3o 3i 6869 43o5 2235 0715 9811 9 5 99 2.30167 1620 4082 7700 29 3? 6990 4433 23 7 I 0862 9969 9769 o35i 1819 4299 7937 28 33 71 10 456i 25o8 1008 2.10126 9938 o534 2019 45i6 8175 27 34 723o 4689 2645 n55 0284 2.20108 0718 2218 4734 84i4 26 35 7 35i 4818 2782 l302 0442 0278 0902 2418 4952 8653 25 36 7471 4946 2920 1449 0600 o449 1086 2618 5170 8892 24 37 7592 5075 3o57 1596 0758 0619 1271 2819 538 9 9i3i 23 38 77' 3 52o4 3195 1743 0916 0790 i456 3019 56o8 9 3 7 i 22 39 7834 5333 3332 1891 1075 0961 i64i 3220 582 7 9612 21 4o 1.77955 1.85462 1.93470 2.02039 2.II233 2.2II32 2.31826 2.43422 2.56o46 2.69853 20 4i 8077 5591 36o8 2187 1392 i3o4 2012 3623 6266 2.70094 19 42 8198 5720 3 7 46 2335 i55 2 i475 2197 3825 648 7 o335 l8 43 83i 9 585o 3885 2483 171 1 1647 2383 4027 6707 o5 77 17 44 844i 5979 4023 263i 1871 1819 2570 423o 6928 0819 l6 45 8563 6109 4162 2780 2o3o 1992 2756 4433 7i5o 1062 1.5 46 8685 6239 43oi 2929 2190 2164 2 9 43 4636 7 3 7 i i3o5 i4 47 8807 636 9 444o 3078 235o 2337 3i3o 483 9 7 5 9 3 i548 i3 48 8929 6499 45 79 3227 25l 1 25lO 33i 7 5o43 7 8i5 i79a!ia 4 9 905 1 663o 4718 33 7 6 2671 2683 35o5 5246 8o38 2o36 1 1 5o 1.79174 1.86760 1.94858 2.o3526 2.12832 2.22857 2.336 9 3 2.4545i 2.58261 2.72281 10 5i 9296 6891 4997 3675 2993 3o3o 388 1 5655 8484 2526 9 52 9419 7021 5i37 3825 3i54 32o4 46y 586o 870& 2771 8 53 9542 7i52 5277 3 97 5 33i6 33 7 8 4258 6o65 8 9 3 2 3017 7 54 9665 7283 54i7 4 1 25 3477 3553 4447 6270 9l5(r 3263 6 55 9788 7 4 1 5 555 7 4276 36j9 3727 4636 6476 938] 3509 5 56 99 7 546 56 9 8 4426 38oi 3902 48a5 6(^2 9606 3 7 56 4 5- i.Soo34 7677 5838 45 77 3963 4077 5oi5 6888 9831 4oo4 3 58 01*58 7809 5 979 4728 4 1 25 4252 52o5 7 o 9 5 2.60057 42 5 1 2 5 9 0281 7941 6120 48 79 4428 53 9 5 7302 0283 4499 1 29 | 28 | 27 26 25 21 23 22 21 20 i Na tural C o-tangei ts. P. tol 2.00 2.13 2.27 a.44 2.62 2.a 3.o5 3.3i 3.6i 3. 9 5 130 Natural S i s e sl a 70 71 72 73 74 75 76 77 78 79 o 939693 945519I 951057 9563o5 961262 965926 970296 974370 978148 981627 60 I 9792 56i3 n46 6390 1342 6001 o366 4435 8208 1 683 5 9 2 9891 5708 1236 6475 1422 6076 o436 45oi 8268 1738 58 3 9991 58o2 i326 656o i5o2 6i5i o5o6 4566 8329 i 79 3 57 4 940090 58 97 i4i5 6644 i582 6226 o5 77 463i 8389 1849 56 5 0189 5 99 i i5o5 6729 1662 63oi 0647 4696 8449 1904 55 6 0288 6o85 i5g4i 6814 1741 63 7 6 0716 4761 85o 9 i 9 5 9 54 7 0387 6180 1684; 6898 1821 645 1 0786 4826 856 9 20l4 53 8 o486 6274 i 77 3 6 9 83 1901 6526 o856 4891 8629 2069 52 9 o585 6368 1862 7067 1980 6600 0926 4956 8689 2123 5i IO 940684 946462 951951 957151 962059 9566 7 5 970995 975020 978748 982178 5o ii 0782 6555 2o4oi 7235 2139 6749 io65 5o85 8808 2233 49 12 0881 6649 2129 7319 2218 6823 n34 5149 8867 2287 48 i3 0979 6 7 43 22l8 74o4 2297 6898 I204 52i4 8927 2342 47 i4 1078 683 7 23o7i 7487 2376 6972 1273 5278 8986 23 9 6 46 i5 1176 6930 2396; 7571 2455 7046 1342 5342 9045 245o 45 16 1274 7024 2484| 7655 2534 7120 i4n 54o6 9io5 25o5 H *I7 1372 7117 2573 7739 2613 7194 1480 547i 9164 2559 43 18 1471 7210 2661 7822 2692 7268 i54g 5535 9223 26i3 42 r 9 1569 73o4 2750 7906 2770 7342 1618 55 9 8 9282 2667 4i 20 o4i666 947397 952838 957990 962849 967415 971687 975662 979341 982721 4o 21 1764 7490 2926 8o 7 3 2928 7489 i 7 55 5726 9 3 99 2774 39 22 1862 7 583 3oi5 8i56 3oo6 7562 1824 5 79 o 9 458 2828 38 23 i960 7676 3io3 8239 3o84 7636 1893 5853 95i 7 2882 37 24 2057 7768 3191 8323 3i63 7709 1961 5 9 i 7 9 5 7 5 2935 36 25 2i55 7861 3279 84o6 324i 7782 2029 5 9 8o 9634 2989 35 26 2252 7954 3366 8489 33i9 7356 2098 6o44 9692 3o42 34 27 235o 8o46 3454 8572 33 97 7929 2166 6107 9750 3096 33 a8 2447 8i3 9 3542 8654 3475 8002 2234 6170 9809 3149 32 29 2544 8 2 3i 3629 8 7 3 7 3553 8075 2302 6233 9867 3202 3 1 3o 942641 948324 9 53 7 i 7 958820 96363o 968148 97237O 976296 979925 983255 3o 3i 2739 84i6 38o4 8902 3 7 o8 8220 2438 635 9 9983 33o8 29 32 2836 85o8 3892 8985 3 7 86 8293 25o6 6422 980041 336i 28 33 2932 8600 3 979 9067 3863 8366 2573 6485 0098 34i4 27 34' 3029 8692 4o66 9i5o 3941 8438 2641 6547 oi56 3466 26 35 3126 8784 4i53 9232 4oi8 85n 2708 6610 02l4 3519 25 36 3223 8876 4s4o 93i4 4095 8583 2776 6672 O27I 35 7 i 24 37 3319 8968 4327 9396 4i73 8656 2843 6 7 35 o329 3624 23 38 3416 9059 44i4 9478 425o 8728 2911 6797 o386 36 7 6 22 39 35i2 9i5i 45oi 9560 4327 8800 2978 6859 o443 3729 21 4o 943609 949243 9 54588 959642 964404 968872 973o45 976921 98o5oo 983781 20 4i 3705 9334 46 7 4 9724 448 1 8 9 44 3lI2 6 9 84 o558 3833 J 9 42 38oi 9425 4761 9805 455 7 9016 3i 79 7046 06 1 5 3885 18 43 38 97 9 5l 7 4847 9887 4634 9088 3246 7108 0672 3 9 3 7 17 44 3 99 3 9608 4934 9968 471 1 9 l5 9 33i3 7169 0728 3989 16 45 4089 9699 5o20 96oo5o 4787 9231 3379 7231 0785 4o4i i5 46 4i85 9790 5io6 oi3i 4864 9302 3446 7 2 9 3 0842 4092. i4 47 4281 9881 5192 0212 4940 9374 35i2 7354 0899 4i44 i3 43 43 7 6 9972 5278 0294 5oi6, 9445 3579 7416 0955 4196 12 49 4472 95oo63 5364 0375 5093 9517 3645 7477 1012 4247 11 5o 94456S 95oi54 95545o 96o456 965169 969588 973712 977539 981068 984298 10 5 1 4663 0244 5536 o537 5245 9669 3778 7600 1 1 24 435o 9 52 4758 o335 5622 0618 532i 97 3o 3844 7661 1181 44oi 8 53 4854 o425 5 7 o 7 0698 53 97 9801 3910 7722 1237 4452 7 54 4949 o5i6 5 79 3 0779 5473 9872 3 97 6 7783 1293 45o3 6 55 5o44| 0606 58 7 9 0860 5548 9943 4042 7844 1 349 4554 5 56 5 1 3g j 0696 5 9 64 0940 5624 970014 4108 79 5 i4o5 46o5 4 57 5234 0786 6049 1021 5700 0084 4i73 7966 i46o 4656 3 58 5329 0877 6i34 IIOI 5775 oi55 4239 8026 i5i6 4707 Si 5 9 542Z 0967 6220 1181 585o 0225 43o5 8087! 1572] 4757 1 19> 18 17 16 | 15 | 14 13 | 12 | 11 [ 10 c ) Natural Co-sine 3. 2 1 P Y ' toi"! l6a | I>54 1.46 i.38 :.3o 1 .21 i.i3 i.o5 0.97 ' 0.88 Natural Tangents. 131 70 71 72 73 74 75 76 77 78 1 79 o 2.74748 2.90421 3.07768 3.27085 3.48741 3.73205 4.01078 4-33i48 4-7o463 5.i4455 60 i 4997 0696 8o 7 3 7426 9125 364o i5 7 6 3723 1 137 5256 5 9 a 5246 0971 83 79 7767 9509 4075 2074 43oo i8i3, 6o58 58 3 5496 1246 8685 8109 9894 45 1 2 2574 4879 2490; 6863 57 4 5 7 46 i523 8991 8452 3.502791 495o>' 3076 5459! 31701 7671 56 5 5996 1799 9298 8 79 5 0666 5388, 3578 6o4o 385i _ 848o 55 ft 6247 2076 9606 9 i3 9 io53 5828 4o8i 6623 4534 9293 54 7 6498 2354 9914' 9483; i44i 6268 4586 7207 5219 5.20107 53 8, 6750 2632 3.io222; 9829 1820 6709 5092 779 3 5906 0925 52 9 7002 2910 o532 3.30174 2219 7 l52 5599 838i 65 9 5 1744 5i to 2.77254 2.93189 3.10842 3.3o52i 3.52609 3.77595 4.06107 4.38969 4.77286 5.22566 5o 11 75o 7 3468 n53 0868 3ooi 8o4o 6616 9560 7978 3391 49 12 7761 3 7 48 1464 1216 3393 8485 7127 4-4oi52 86 7 3 4218 48 i3 8014 4028 i 77 5 i565 3785 8931 7 63 9 0745 9 3 7 o 5o48 47 i4 8269 4309 2087 1914 4179 9378J 8i52 1 34o 4.80068 588o 46 i5 8523 4591 2400 2264 45 7 3 9827- 8666 1936 0769 6 7 i5 45 16 8778 4872 2713 2614 4968 3.80276 9182 2534 1471 7 553 44 17 9o33 5i55 3027 2965 5364 0726 9699 3i34 2175 83 9 3 43 18 9289 543 7 334i 33i7 5761 1177 4.10216 3735 2882 9235 42 J 9 9545 5721 3656 3670 6159 i63o| 0736 4338 3590 5.3oo8o 4i 20 2.79802 2.96004 3.13972 3.34o23 3.5655 7 3.82083 4.ii256'4.44942 4.843oo 5.30928 4o 21 2.80059 6288 4288 4377 6957 2537 1778 5548 5oi3 1778 39 22 o3i6 65 7 3 46o5 4732 7 35 7 2992 23oi 6i55 5 7 ?7 263i 38 23 0574 6858 4922 5087 7758 3449 2825 6764 6444 3487 3? 24 o833 7i44 524o 5443 8160 3906 335o 7 3 7 4 7162 4345 36 25 1091 743o 5558 58oo 8562 4364 38 7 7 7986 7882 5206 35 26 i35o 7717 58 77 6i58 8966 4824 44o5 8600 86o5 6070 34 27 1610 8oo4 6197, 65i6i 9370 5284 4934 9215 933o 6936 33 25 1870 8292 65i 7 68751 9775 5 7 45 5465 9832 4.90056 78o5 32 29 2i3o 858o 6838 7234'3.6oi8i 6208 5 997 4.5o45i 0785 8677 3i 3a 2.82391 2.98868 3.17159 3.3 7 594'3.6o588 3.86671 4-i653o 4.51071 4-9i5i6 5.3 9 552 3o 3i 2653 9i58 748i 7955; 0996 7 i36 7064 1693 2249 5.40429 29 3i 2914 9447 7804 83 I? i4o5 7601 7600 23i6 2984 1 309 28 33 3i 7 6 97 38 8127 8679 9042 1814 8068 8137 2941 3721 2192 27 34 3439 3.00028 845 1 2224 8536 86 7 5 3568 446o 3o 77 26 35 3702 0319 8 77 5 9406 a636 9004 92i5 4196 520I 3 9 66 25 36 3 9 65 061 1 9100 977i 3o48 9474 9756 4826 5 9 45 485 7 24 37 4229 0903 9426 3.4oi36 346i 994514.20298 5458 6690 . 5 7 5i 23 38 4494 1196 97 52 o5o2 38 7 4 3.9041 7I 0842 6091 7438 6648 22 39 4 7 58 i48 9 3.20079 0869 4289 0890 i38 7 6726 8188 7548 21 4o 2.85o23 3.01783 3. 20406 3.4i236 3.647o5 3.91364 4.21933 4.5 7 363 4.98940 5.4845i 20 4i 5289 2077 0734 i6o4 5l21 i83g 2481 8001 9695 g356 l 9 42 5555 2372 io63 1973 5538 23i6 3o3o 864 1 5.oo45i 5.50264 l8 43 5822 2667 1392 2343 5 9 5 7 2793 358o 9283 1210 1 1 76 17 44 6089 2963 1722 2713 6376 3271 4i32 9927 1971 2090 l6 45 6356 32G0 2o53 3o84 6796 3 7 5i 4685 4.60572 2734 3007 i5 46 6624 3556 2384 3456 7 2I 7 4232 523 9 1219 3499 3927 i4 4 7 6892 3854 2 7 l5 382 9 7638 47i3 5795 1868 4267 485i i3 4S 7161 4i5 2 3o48 4202 8061 5196 6352 2 5i8 5o37 5 777 12 4y 743o 445o 338i 45 7 6 8485 568o 691 1 3 1 7 1 5809 6706 1 1 5o 2.87700 3.04749 3. 2 3 7 i4 3.44951 3.68909 3.c;6i65 4.27471 4-63825 5.o6584 5.5 7 638 10 5i 7970 5o49 4049 5327 9335 665i 8o3a 448o 7 36o 8 5 7 3 9 52 8240 5349 4383 5703 9761 7' 3 9 85 9 5 5i38 8i3g 951 1 8 53 85n 5649 4719 6080 3.70188 7627 9 1 5 9 5797 8921 5.6o452 7 54 8783 5g5o 5o55 6458 0616 8117 9724 6458 9704 1397 6 55 9o55 6252 53 9 2 6837 1046 86o74>3o29i 7121 5.10490 n344 5 56 9 32 7 6554 5729 7216 1476 9099 0860' 7786 1279 3295 4i 57 9600 685 7 6067 7 5 9 6 7977 I 97 9 r> 9- i43o 8452 2069 4s48 3 58 9 7 3 7160 6406 233S4.ooo86 2001 91 2 1 2862 5ao5 2 5y 2.90147 7464 6 7 45 8359! 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P - P> 4 35 4.82 5.36 f).<>i j 6.79 ! 7.73 8. go 1 io.35 12.20 ' 1 1 14.60 132 Natural Sines 3 . .s 80 81 | 82 83 84 85 86 87 88 89 | ol q848o8 987688 990268 992546 994522 996195 997564 998630 999391 999848 60 , I 4858 7734 0309 2582 4552 6220 7584 8645 9401 9853'59 2 4909 7779 o349 2617 4583 6245 7604 8660 94" 9 358 58 3 4959 7824 0389 2652 46i3 6270 7625 86 7 5 9421 9863 57 4 5009 7870 0429 2687 4643 6295 76451 8690 943 1 9 86 ?# 56 5 5o59 79 i5 0469 2722 46 7 3 6320 76641 8705 944i 9872 55 6 5109 7960 0509 2 7 5 7 4703 6345 7684] 8719 945o 9877 54 7 5i59 8oo5 0549 2792 4733 6370 7704 8 7 34 9460 9881 53 8 5209 8o5o o58g 2827 4762 63 9 5 7724 8749 9469 9886 52 9 5259 8094 0629 2862 4792 6419 7743 8 7 63 9479 9890 5i 10 985309 988139 990669 992896 994822 996444 997763 998778 999488 999894 5o ii 5358 8184 0708 2931 485i 6468 7782 8792 9497 9898 49 12 54o8 8228 o 7 48 2966 488i 6493 7801 8806 9 5o 7 9903 48 i3 5457 8a 7 3 0787 3ooo 4910 65i 7 7821 8820 9516 9907 47 i4 5507 83i 7 0827 3o34 4939 654i 7840 8834 9525 9910 46 i5 5556 8362 0866 3o68 4969 6566 7 85 9 8848 9 534 9914 45 16 56o5 84o6 0905 3io3 4998 6590 7878 8862 9542 9918 44 17 5654 845o 0944 3i3 7 5027 66i4 7897 8876 955i 9922 43 18 5703 84g4 0983 3i 71 5o56 663 7 7916 8890 9560 9925 42 l 9 5752 8538 1022 32o5 5o84 6661 79 34 8904 9 568 9929 4i 20 985801 988582 991061 993238 9961 i3 996685 997953 998917 999577 999932 4o 21 585o 8626 1100 3272 5l42 6709 7972 8 9 3i 9 585 9936 39 22 5899 866 9| n38; 33o6 5170 6732 7990 8 9 44 9594 99 3 9 38 23 5 9 47 8713. 1177I 333 9 5i 99 6 7 56 8008 8 9 5 7 9602 9942 37 24 5996 87561 1216' 33 7 3 5227 6779 8027 8971 9610 9945 36 25 6o45 8800 1254 34o6 5256 6802 8o45 8984 9618 9948 35 26 6093 8843 1292 3439 5 2 84 6825 8o63 8997 9626 99 5i 34 27 6i4i 8886 i33i 3473 53i2 6848 8081 9010 9 634 9954 33 28 6189 8930 1369 35o6 534o 6872 8099 9023 9642 99 5 7 32 29 6238 8 97 3 1407 3539 5368 6894 8117 9o35 965o 99 5 9 3i . 3o j 36286 989016 99i445 993572 995396 996917 998135 999048" 999657 999962 3o 3i 6334 9059 i483 36o5 5424 6940 8i53 9061 9665 9964 29 32 638i 9102 l52I 3638 5452 6 9 63 8170 9073 9672 9967 2S 33 6429 9145 i558 3670 5479 6 9 85 8188 9086 9680 9969 27 34 6477 9187 1596 3703 55o7 7008 82o5 9098 9687 9971 26 35 65a5 9230 i634 3 7 35 5535 7o3o 8223 91:1 9694 9974 25 36 65?2 9272 1671 3768 5562 7o53 8240 9123 9701 9976 24 3 7 6620 93i 5 J 1709 38oo 558 9 7 o 7 5 8257 9i35 9709 9978 23 38 6667 9357! 1746 3833 5617 7097 8274 9147 9716 9980 22 3 9 6 7 :4 9399 1783 3865 5644 7119 8291 9 l5 9 9722 9981 21 4o 986762 989442 991820 993897 995671 997141 9 9 83o8 999171 999729 999983 20 4i 6809 9484 i85 7 3929 5698 7 i63 8325 9 i83 9736 9985 l 9 42 6856 9526 1894 3961 5725 7 i85 8342 9194 9743 9986 18 43 6903 9568 1931 3993 5752 7207 835 9 9206 9749 9988 17 44 6950 9610 1968 4o25 5778 7229 83 7 5 9218 97 56 9989 16 45 6996 965i 2005 4o56 58o5 725o 83 9 2 9229 9762 9990 i5 46 7o43 9693 2042 4o88 5832 7272 8408 9240 9768 9992 i4 47 7090 97 35 2078 4l20 5858 7293 8425 9252 9775 9993 i3 48 7i36 9776 2Il5 4i5i 5884 73i4 844i 9263 9781 999412 49 7i83 9818 2l5l 4182 5911 7 336 845 7 9274 9787 9995 11 5o 987229 9898591992187 994214 995 9 3 7 99 7 35 7 998473 999285 999793 999996-0 | 5i 7275 99001 2224 4245 5 9 63 7 3 7 8 8489 9296 9799 9997! 9 1 52 7322 9942 2260 4276 5989 7 3 99 85o5 9 3o 7 9804 9997 8 i 53 7 368 9983 2296 4307 6oi5 7420 852i 9 3i8 9810 9998 -7 1 54 74i4 990024 2332 4338 6o4i 744i 853 7 | 9328 9816 9998 6 55 7460 oo65 2368 4369 6067 7462 8552, 9339 982: 9999 5 56 75o6 oio5| 240^ 44oo 6093 7482 8568 935o 9827 99991 4 57 755i oi46i 243g 443o 6118 75o3 8583 936o 9832 1. 00000 3 58 7 5 97 0187 2475 446 1 6i44 7523 8599 9 3 7 9837 0000 2 5 9 7643 0228 25ll 4491 6169 7544 8614 9 38i 9843 0000 1 9 8 7 6 5 40 3 2 1 I . ! fi Natural Co-sines. P. P fl tol".- 8u 0.72 o.63 o.55 o.46 o.38 o.3o 0.21 o.i3 o.o4 Natural Tangents. 133 d i 80 1 81 1 82 1 83 84 85 66 67 88 69 o 5.67128J6.31375 8094; 2566 7.n537i8.i4435 9 .5i436 ii.43oi 14.3007 1 9.08 1 1 2*8.6363 57.2900 60 I 3o42 63 9 8 4 1 06 4685 3607 1879 8771 58.2612 5 9 2 9064! 3761 4553 8370 6791 5072 4212 2959 29.1220 59.2659 58 3I5.70037I 4g6l 6071 8.2o352 9490 546i 4823 4o5i 3711 6o.3o58 57 4 ioi3: 6 1 65 7 5 94 2344 9.62205 5853 5438 5i56| 6245 61.3829 56 5 1992' 7374 9125 43451 4935 6248 6059 6273 8823 62.4992 55 6 2974' 8587 7.20661 6355, 7680 6645 6685 74o3;3o.i446 63.6567 5 4 7 3960' 9804 2204 8376 9.70441 70/.5 7317 8546 4n6 64.858o 53 8 4949*6. 41026 3 7 54 8.3o4o6 3217 7448 7954, 9702 6833 66.io55 52 9 5941 2253 53io 2446 6009 7853 85 9 6 20.0872 9 5 99 67.4019 5i 10 5.76937 6.43484 7.26873 8.34496 9.78817 11.8262 14.9244 20.2056 3i.24i6 68. 7 5oi 5o 11 79 36 4720 8442 6555 9.81641 86 7 3 9898 3253 5284 70.i533 49 13 8 9 38 5961 7.30018 8625 4482 9087 i5.o557 4465 8205 7i.6i5i 43 i3 9944 7206 1600 8.40705 7338 95o4 1222 5691 32.1181 73.1390 47 i4 5 80953 8456 3190 2 79 5 9.9021 1 9923 1893 6932 42i3 74.7292 46 i5 1966 97101 4786 4896 3ioi 12.0346 2571 8188 73o3 76.3900 45 16 2982 6.50970 638 9 7007 6007 0772 3 2 54 9460 33.o452 78.1263 44 17 4ooi 2234 7999 9128 8931 1201 3943 21.0747 3662 79.9434 43 16 5o24 35o3 9616 8.51259 10.0187 i632 4638 2049 6935 81.8470 42 *9 6o5i 4777 7.41240 3402 o483 2067 534o 336 9 34.0273 83.8435 4i 20 5.87080 6.56o55 7.42871 8.55555 10.0780 I2.25o5 i5.6o48 21.4704 34.3678 85.9398 4o 21 8n4 7339 4509 7718 1080 2946 6762 6o56 7i5i 88.i436 3 9 23 9i5i 8627 6i54 9893 i38i 3390 7483 7426 35.0695 90.4633 38 23 5.90191 9921 7806 8.62078 i683 3838 8211 88i3 43i3 92.9085 37 24 . 1236 6.61 2 19 9 465 4275 1988 4288 8 9 45 22.0217 8006 95.4895 36 25 2283 2523 7-5i i32 6482 2294 4742 9687 i64o 36.1776 98.2179:35 26 3335 383i 2806 8701 2602 5i 99 i6.o435 3o8i 5627 101.107 34 2-7 4390 5 1 44 448? 8.70931 2913 566o 1 190 454i 9560 104.171I33 28 5448 6463 6176 3i 7 2 3224 6124 1952 6020 37.3579 107.42632 29 65io 7787 7872 5425 3538 6591 2722 7 5i 9 7686 1 10.89213: 3o 5.97576 6.691 16 7.59575 8.77689 io.3854 12.7062 16.3499 22.9038 38.i885 ii4.589|3o 3i 8646 6.70450 7.61287 9964 4172 7 536 4283 23.0577 6177 n8.54o 29 | ^2 9720 1789 3oo5 8.82252 4491 8oi4 5075 2137 39.0568 122.774(28 | 33 6.00797 3i33 4732 455i 48i3 8496 58 7 4 3 7 i8 5o59 127.32127 34 1878 4483 6466 6862 5i36 8981 6681 532i 9655 132.219 26 35 2962 . 5838 8208 9i85 5462 9469 7496 6945 4o.4358 137.507 25 36; 4o5i 7199 99 5 7 8.91520 5789 9962 83i 9 85 9 3 9174 i43. 237*24 37 5 1 43 8564 7.71715 386 7 6118 i3.o458 9i5o 24.0263 4 1. 4 1 06 149-465 23 38 6240 9936 348o 6227 645o og58 9990 1957 9i58 i56. 259^22 39 734o 6.8i3i2 5254 85 9 8 6 7 83 i46i 17.0837 3675 42.4335 163.700 21 4o 6.o8444 6.82694 7.77035 9.00983 10.71 19 13.1969 17.1693 24.54i8 42.9641 171.885 20 4i 9552 4082 8825 3379 7457 2480 2558i 7185 43.5o8i 180.932J19 42 6.10664 5475 7.80622 5789 7797 2996 3432[ 8978 44.o66i 190.984 18 43 1779 6874 2428 8211 8139 35 1 5 43i4 25.0798 6386 202.219 17 44 2899 8278 4242 9.10646 8483 4039 52o5; 2644 45.2261 214-858 16 45 4023 9688 6064 3og3 8829 4566 6106 45i7 8294 229.182 i5 46 5i5i 6.91 io4 7895 5554 9178 5o 9 8 7015 64i8 46.4489 245.552 14 47 628*3 2525 9734 8028 9529 5634 7934 8348 47.o853 264.441 1 3 48 7419 3 9 52 7.91582 9.2o5i6 9882 6174 8863|26.o3o7 7 3 9 5 286.478 12 49 8559 5385 3438 3oi6 1 1.0237 6719 9802 2296 43.4i2i 3i2.5ji ! i 1 5o 6.197036.96823 7.95302 9-2553o 11.0594 13.7267 18.0750 26.43i6 49.1039 343.774 10 5i 6.2o85i 8268 7176 8o58 0954 7821 1 70S 636 7 8i5 7 381.971 9 52 2003 9718 9o58 9.30599 i3i6 8378 2677 845o 50.5485429.718! 8 53 3i6o 7.01 1 74 8.00948 3i55 16S1 8 9 4o 3655 27.0566 5i.3o32 491.106 7 54 4321 2637 2848 5724 2048 9 5o 7 4645 2715 Vj.e--t>7 572.957J 6 55 5486 4io5 4756 83o 7 2417 14.0079 5645 4899 8821687.549 5 56 6655 5579 6674 9.40904 2789 o655 6656 7117 53.7086,859.436: 4 5? 72 9 70 5 9 8600 35 1 5 3i63 1235 7678 9372 54.56i 3 1145.92! 3 58 9007 8546 8.io536 6i4i: 354<> 1821 871 1 28.i664;55.44i5 1718.87 2 59*6 30189 7-ioo38l 2481 8781 3919 5 24lt 97f>5 3994 r >6.35o6 3437.75 1 9 b 7 6 4 1 3 2 3 l 3 3 1 Natural C o-tange lis. P. P. 1 22.19 28.46 3 7 .83 5.28 7.88 ! i3.oi 1 134 Natural Secants. Deg. 0' 10' 20' 30' 40' 50' P. Pait to 1'. o I I .OOOOOO 1 .000004 1 .000017 1 .oooo38 1 .000068 1 .000106 89 2.5 i OOOl52 000207 000271 ooo343 000423 ooo5i2 88 7.6 a 000609 000715 ooo83o 000953 001084 001224 87 I2.7 3 j 001372 001529 001695 001869 00205l 002242 86 I7.8 4 002442 oo265o 002867 003092 oo3326 003569 85 22.9 5 003820 oo4o8o oo4348 004625 00491 1 oo52o5 84 28.1 6 oo55o8 oo5820 006141 006470 006808 007154 83 33.3 7 007510 007874 008247 008629 009020 009419 82 38.6 8 009828 010245 010671 011106 on55o OI2003 81 43.9 9 OI2465 012936 oi34i6 013905 oi44o3 014910 80 49.3 IO : .015427 1. 015952 1 .016487 1 .017030 1. 017583 I .018145 79 54.8 ii 018717 019297 019887 020487 021095 021713 78 60.4 12 022341 - 022977 023624 024280 024945 025620 77 66.0 i3 0263o4 026998 027702 0284i5 029138 029871 76 71.8 i4 o3o6i4 o3i366 032128 032900 o33682 034474 75 77-7 i5 035276 o36o88 036910 037742 o38584 039437 74 83. 7 16 040299 041172 o42o55 042949 o43853 044767 73 89.8 *7 045692 046627 047573 048029 049496 o5o474 72 96.1 18 o5i462 o5246i o5347i 054492 o55524 o56567 7i 102.6 J 9 057621 o58686 059762 060849 061947 o63o57 70 109.2 20 1. 064178 1 .o653io 1 .o66454 1 .067609 1 .068776 1 .069955 69 116. 1 21 071145 072347 073561 074786 076024 077273 68 123.2 22 o 7 8535 079808 081094 082392 083703 o85o25 67 i3o.4 23 o8636o 087708 089068 090441 091827 093225 66 i37.9 24 094636 096060 097498 098948 ioo4ii 101888 65 145.6 25 103378 104881 106398 107929 109473 mo3o 64 i53.7 26 1 12602 114187 1 15787 1 1 7400 1 19028 120670 63 162.0 27 122326 123997 125682 127382 129096 130826 62 170.7 28 132570 134329 i36io4 137893 139698 i4i5i8 61 179.7 29 . 143354 i452o5 147073 148956 i5o854 152769 60 189. 1 3o 1.154701 1. 1 56648 1 .i586i2 1 .160592 1. 162589 1 . i646o3 5 9 198.9 3i 1 166633 168681 170746 172828 174927 177044 58 209. 1 32 | 179178 :8i33: i835oi i8568 9 187895 190120 5 7 219.7 33 192363 194625 196906 199205 20l523 2o386i 56 230.9 34 206218 208594 210991 2i34o6 2l5842 218298 55 242.6 35 ! 220775 223271 225789 228327 23o886 233466 54 254.8 36 i 236o68 238691 24i336 244oo3 246691 249402 53 267.7 ll\ 252i36 254892 257671 260472 263298 266146 52 281.3 38 I 269018 271914 274834 277779 280748 283741 5i 295.6 3 9 286760 289803 292872 295967 299088 3o2234 5o 310.7 4o | 1 ,3o54o7 1.308607 i.3ii833 1 .3i5o87 i.3i8368 1 .321677 4 9 326.7 ^ 1 325oi3 328378 331771 335192 338643 342123 48 343.6 ft 345633 349172 352742 356342 359972 363634 47 36i.5 43 | 387327 371052 374809 378598 382420 386275 46 38o.5 44 1 390164 394086 398042 402032 406057 4ioii8 45 400.7 45 ; 414214 4i8345 4225l3 426718 430960 43523 9 44 422'. 3 46 439557 443912 4483o6 452740 457213 461726 43 445.3 47 ! 466279 470874 475509 480187 484907 489670 4a 469.8 48 j 494477 499327 5o422I 509160 5i4i45 519176 4i 496.2 49 1 524253 529377 534549 539769 545o38 55o356 4o 524-4 5o | 1 .555724 1 .56n42 1 .5666i2 I .572134 1 .577708 1.583335 39 554.7 c 1 i 589016 594751 6oo542 6o6388 612291 6i825i 38 58 7 .4 52 ; 624269 63o346 636483 642680 648938 655258 3 7 622.7 53 j 661640 668086 674597 681173 68 7 8i5 694524 36 660.9 54 1 701302 708148 7i5oo4 722051 729110 736241 35 702.2 55 | 743447 750727 758o84 765517 773029 780620 34 747 2 56 | 788292 796045 8o388i 811801 819806 827899 33 796.2 57 ; 836o 7 8 844348 852707 861159 869704 878344 32 849.8 58 1 887080 895914 904847 9 i388i 923017 932258 3i 908.5 5 9 94i6o4 95io58 960621 970294 980081 1 9S9982 3o 97?. ... . 1 60' 50' 40' 30' 20' . 10' Deg. " Natur a.1 Co-secai its. 1 J Natural Secant b. 135 Deg. ~6o~ 0' 10' 20' 30' 40' ,._ ., , . _, . T 50' P. Part tol'. ^. 000000 a o:oi36 2,020393 2.030772 2.041276 2.051906 29 io44 6l 062665 073506 084579 095739 107036 n84?4 28 1123- 62 i3oo54 141781 i53655 i6568i 177859 190195 27 I2IO 63 2026SC 2i5346 228168 241 i58 254320 267657 26 i3o8 64 ! 281 1 72 294869 308750 322820 337083 35i542 25 1417 65 366202 38io65 396137 4n42i 426922 442645 24 i53 9 66 4585 9 3 47477 3 491187 507843 524744 541896 23 1678 67 5593o5 576975 594914 6i3i26 63i6i8 650396 22 i835 68 669467 68838 7 7o85i4 7285o4 748814 769453 21 20l5 69 790428 811747 8334i9 85545i 8 77 853 900635 20 2222 1 70 2.923804 2.947372 2.971349 2.995744 3.020569 3.o45835 X 9 246l 7i 3.07i553 3.097736 3. 124396 3.i5i545 1 79 1 98 207367 18 274o 72 236o68 2653i5 295123 3255io 356490 388082 17 3o68 73 42o3o4 453i73 48671 1 520937 5558 7 i 59i536 16 3453 74 627955 665i52 7o3i5i 741978 781660 822225 i5 3925 75 863703 906125 949522 993929 4.039380 4.085913 i4 4492 76 4.133565 4.182378 4.232394 4.283658 3362i5 3901 16 i3 5190 77 4454i 1 502107 56o4o8 620226 681675 744821 12 6062 78 809734 876491 945169 5.oi5852 5.088628 5. 163592 11 7171 7? 5- 24o843 5.32o486 5.4o2633 487404 574926 665333 10 8612 80 5.758770 5.855392 5.955362 6.o58858 6. 166067 6.277193 9 81 6.392453 6.5i2o8i 6.636329 6.765469 6.899794 7.039622 8 82 7. 185297 7.337191 7.495711 7.661298 7.834433 8.oi5645 7 83 8.205509 8.404659 8.613790 8.8336 7 i 9.o65i5i 9.309170 6 84 9.566772 9.839123 10. 12752 io.43343 10.75849 1 1. io455 5 85 n.47 3 7i 11.86837 12.29125 12.74549 13.23472 13.76311 4 86 i4.33559 14.95788 i5. 63679 i6.38o4i 17. 19843 18. 10262 3 ! 8 " 19. 10732 20.23028 21.49368 22.92559 24.56212 26.45o5i e 86 28.653 7 i 3i.25758 34.38232 38.2oi55 42.97571 49. n4o6 1 8c 57.2J9869 68. 7 5 7 36 85.9456i 1 i4.593o 171.8883 343.7752 60' 50' 40' 30' 20' 10' D<*. Natural Co-secants. LENGTHS F CIRCULAR ARCS. Degrees. Minutes. Seconds. I ,oi 7 4533 26 .453 7 856 5i .8901 179 / I .0002909 1 ; .0000048 2 .034906G 27 .4712389 52 .9075712 2 .ooo58iS 2 .0000097 3 .0523599 28 .4886922 53 .9250245 3 .0008727 3 .OOOOI45 4 .0698132 29 5o6i455 54 .9424778 4 .ooii636 4 .0000194 5 .0872665 3o .5235988 55 .959931 1 5 .ooi4544 5 .0000242 6 .1047198 *,i .54io52i 56 9773844 6 .0017453 6 .0000291 7 . 1221730 32 .5585o54 5? .9948377 7 .0020362 7 .0000339 8 .1396263 33 .5759587 58 1 .0122910 8 .0023271 8 ,oooo388 9 . 1J70796 34 .59341 19 5 9 1.0297443 9 .0026180 9 .oooo436 10 . 1745329 35 .6108652 60 1 .0471976 10 .0029089 10 .oooo485 11 . 1919862 36 .6283i85 65 1 . 1 34464o 1 1 .0031998 1 1 .oooo533 12 .2094396 37 .6457718 70 1 .2217305 12 .0034907 12 .oooo582 ;3 .2268928 38 .663225i 75 1 .3089969 i3 .0037815 i3 .oooo63o x4 .2443461 3 9 .6806784 80 1.3962634 i4 .0040724 i4 .0000679 i5 .2617994 4o . 698 1 3 1 7 85 1.4835299 i5 .oo43633 i5 .0000727 ;6 .2792527 4i 7i5585o 90 1 .5707963 16 ,oo46542 16 .0000776 '7 .2967060 42 733o383 100 i. 7 4532 9 3 17 .oo4945i W .0000824 :8 ,3i4i593 43 .7504916 1 10 1 .9198622 18 .oo52 36o 18 .0000873 '9 \33i6i26 44 .7679449 120 2.0943951 *9 ,oo5526o 9 .0000921 20 .3490659 45 .7853982 i3o 2.26S9280 20 .0058178 20 .0000970 21 .3665191 46 .8o285i5 i4o 2.44346io 25 .0072722 25 .0001212 22 .3839724 47 .8203047 i5o 2.6179939 3o .0087266 ".> .oooi454 23 .4oi4257 48 .83 77 58o 160 2.7925268 4o .01 i6355 4o .0001939 24 .4188790 49 .8*5521 1 3 170 2.9670597 5o .oi45444 5o . 0002424 ! \JL .4363323 5o .8726646 180 3. 14^927 .OI74533 60 ' .0002909 136 Traverse T. \ B L E . i Course. Dist. 1. Dist. 2. Dist. 3. Dist. 4. Dist. 5. Lat. Dcp. Lat Dep. Lat. Dep. Lat. Dep. Lat Dep. . o / o i5 ! I.OOOO 0.0044 2.0000 0.0087 3.0000 O.Ol3l 4-OOO0 O.OI75 5. oooo O.0218 1 1 89 45 3o oooo 0087 I.9999 OI75 2.9999 0262 3.9998 o349 4.9998 o436 3o 45 0.9999 oi3i 9998 0262 9997 o393 9997 o524 9996 o654 :5 I o 9998 0175 9997 o349 999 5 o524 9994 0698 9902 0873 89 i5 9998 0218 9995 o436 999 3 o654 9990 0873 99S8 1091 45 3o 9997 0262 9993 o524 9990 0785 9986 1047 9983 1 309 3o 45 9995 o3o5 9991 06 1 1 9986 0916 9981 1222 9977 1527 i5 2 O 9994 o349 9988 0698 9982 1047 9976 I396 9970 1745 88 i5 9992 0393 9985 0785 9977 1 1 78 ! 99 6 9 l570 9961 1963 45 3o 9990 o436 9981 0872 9971 1 309 9962 1745 . 9952 2181 3o 45 0.9988 0.0480 1.9977 0.0960 2.9965 0.1439 3.9954 O.I9 I 9 4.9942 0.2399 i5 3 o 9986 o5a3 9973 1047 99 5 9 1570 9945 2093 99 3i 2617 87 i5 99 8 4 0567 9968 n34 9952 1701 9936 2268 9920 2835 45 3o 9981 0610 9963 1221 9944 i83i 9925 244^ 9907 3o52 3o 45 9979 o654 99 5 7 i3o8 9936 1962 9914 26l6 9893 3270 i5 4 o 9976 0698 99 5i 1395 9927 2093 9903 2790 9878 3488 86 i5 997 3 0741 9945 1482 9918 2223 9890 2964 9 863 3705 45 3o 9969 o 7 85 9938 1569 9908 2354 9877 3i38 9846 3923 3o 45 9966 0828 99 3i i656 9897 2484 9863 33 1 2 9828 4i4o i5 5 o 9962 0872 9924 1743 9886 26i5 9848 3486 9810 4358 85 i5 0.9958 0.0915 1. 9916 o.i83o 2.9874 0.2745 3.9832 o/366o 4.9790 0.4575 45 3o 9954 og58 9908 1917 9862 2875 9816 '3834 9770 4792 3o 45 9950 1002 9899 2004 9849 3oo6 9799 4oo8 9748 5009 i5 6 o 9945 io45 9890 2091 9 836 3i36 9781 4i8i 9726 5226 84 i5 99 4 1 1089 9S81 2177 9822 3.266 9762 4355 973 5443 45 3o 9936 Il32 9871 2264 9807 3396 9743 4528 9679 566o 3o 45 99 3i n 7 5 9861 235i 9792 3526 9723 4701 9653 58 77 i5 7 o 9925 1219 985i 243 7 9776 3656 9702 48 7 5 9627 6093 83 i5 9920 1262 9840 2524 9760 3 7 86 9680 5o48 9600 63io 45 3o 9914 i3o5 9829 2611 9743 3916 96^8 5221 9 5 7 2 6526 3o 45 0.9909 0.1349 1. 9817 0.2697 2.9726 0.4046 3.9635 0.5394 4.9543 0.6743 i5 6 o 9903 1392 9805 2783 9708 4175 9611 556 7 95i3 6959 82 i5 9897 i435 9793 2870 9690 43o5 9 586 5740 9 483 7 i 7 5 45 3o 9890 1478 9780 2956 9670 4434 9561 5912 945 1 7 3 9 3o 45 9884 l52I 9767 3o42 965i 4564 1 9534 6o85 94 1 8 7606 i5 9 9877 i564 97 54 3129 9631 46 9 3 9508 6257 9 384 7822 81 i5 9870 1607 9740 32 1 5 9610 4822 9480 643o 935o 8037 45 3o 9863 i65o 9726 33oi 9589 495.1 945i 6602 93i4 8252 3o 45 9 856 i6 9 3 9711 338 7 9 56 7 5o8o 9422 6774 9278 8467 i5 IO o 9848 1736 9696 3473 9544 5209 9392 6946 9240 8682 80 i5 0.9840 0.1779 1. 9681 o.3559 2.9521 0.5338 3.9362 0.7118 4.9202 0.8897 45 3o 9833 1822 9665 3645 9498 5467 933o 7289 9163 9112 3o 45 9825 i865 9649 3730 9474 55 9 6 9298 7461 9123 9 3 2 6 i5 II o 9816 1908 9 633 38i6 9449 5724 9265 7632 9081 9540 79 i5 9808 1951 9616 3902 9424 5853 9231 7804 9039 97 55 45 3o 9799 i 99 4 9598 3987 9398 5 9 8i 9197 797 5 8996 9968 3o 45 9790 2o36 958i 4073 937* 6109 9162 8i46 8 9 52 1. 0182 1 5 12 O 9781 2079 9 563 4i58 9344 6237 9126 83i6 8907 0396 78 i5 9772 2122 9545 4244 9 3l 7 6365 9089 848 7 8862 0609 45 3o 1 97 63 2164 9526 4329 9289 6493 9052 8658 88i5 0822 3o 45 0.9753 0.2207 1.9507 o.44i4 2.9260 0.6621 3.9014 0.8828 4.8767 i.io35 i5 i3 o 9744 225o 9487 4499 9231 6749 8 97 5 8998 8719 1248 77 i5 97 34 2292 9468 4584 9201 6876 8 9 35 9168 8669 i46o 45 3o 9734 2334 9447 466 9 9171 7003 88 9 5 9 338 8618 1672 3o 45 97 i3 2377 9427 4754 9140 7i3i 8854 9 5o 7 856 7 1884 i5 i4 o 97 o3 2419 9406 4838 9109 7258 8812 9677 85i5 2096 76 i5 9692 2462 9385 4923 9077 7385 8769 9846 8462 23o8 45 3o 9681 25o4 9 363 5oo8 9044 761 1 8726 i.ooi5 8407 2519 3o 45 9670 2546 9341 5092 9011 7 638 8682 oi84 8352 2730 i5 i5 o 9659 2588 9 3i 9 5i 7 6 8978 7765I 863 7 o353 8296 2941 75 Coarse. . . ., : Dep. Lat. Dep. | Lat. Dep. | Lat. Dep. Lat. Dep. Lat Dist. 1. 1 Dist. 2. 1 Dist. 3. Dist. 4. Dist. 5. Traverse Table. 137 i Coarse. Dist. 6. Dist. 7. Dist. 8. Dist. .p. | Lat 1 Connie. Dist. 6. Dist. 7. Di, t. 8. Dist. 0. Disl - J in. 13S Traverse Table. Ccraise. Dist. 1. Dist. 2. Dist. 3. Dist. 4. Dist 5. - ' 1 Lat. Dep. Lat Dcp. Lat. Dep. Lat Dep. Lat Dep. O 1 i5 i5 0.9648 o.263o I.9296 0.526l 2.8944 0.7891 3.8591 I.o52I 4.8239 i.3i52 / 74 45 3o 9636 2672 9273 5345 8909 8017 8545 0690 8182 3362 3o . 45 9625 2714 9249 5429 88 7 4 8l43 8498 o858 8l23 35 7 2 i5 16 o q6i2 2756 9225 55i3 8838 8269 845o 1025 8o63 3782 74 i5 9600 2798 9201 5597 8801 83 9 5 8402 1 193 8002 3 99 i 45 3o 9 588 284o 9176 568o 8 7 65 852o 8353 i36i 7941 4201 3o 45 9576 2882 9i5i 5 7 64 8727 8646 83o3 i5 2 8 7879 44io i5 17 9 563 2924 9126 584? 8689 8771 8252 1695 7815 4619 73 i5 955o 2965 9100 5931 865i 8896 8201 1862 775i 4827 45 3o 9 53 7 3o07 9074 6o4 8612 9021 8149 2028 7686 5o35 3o 45 0.9524 o.3o49 1.9048 0.6097 2.8572 0.9146 3.8096 1. 2195 4.7620 1.5243 i5 18 95n 3090 9021 6180 8532 9271 8042 236i 7553 545i 72 x5 9497 3i32 8994 6263 8491 9395 7988 2527 7485 5658 45 3o 9483 3i 7 3 8966 6346 845o 9 5i 9 7933 2692 7416 5865 3o 45 9469 32i4 8939 6429 84o8 9643 7877 2858 7347 6072 i5 19 9455 3256 8910 65n 8366 9767 7821 3o23 7276 6278 71 1 5 9441 3297 8882 6594 8323 9891 7764 3i88 7204 6485 45 30 9426 3338 8853 6676 8279 1.0014 7706 3352 7132 6690 3o 45 9412 33 79 8824 6 7 58 )&235 oi38 7647 35i 7 7059 6896 i5 20 9 3 97 3420 8 79 4 6840 8191 0261 7 588 368i 6 9 85 7101 70 i5 0.9382 o.346i 1.8764 0.6922 2.8146 i.o384 3.7528 1.3845 4.6910 1.7306 45 3o 9 36 7 35o2 8733 7004 8100 o5o6 7467 4oo8 6834 75io 3o 45 935i 3543 8703 7086 8o54 0629 74o5 4172 6 7 5 7 77 i5 i5 21 9 336 3584 8672 7167 8007 0751 7343 4335 6679 7918 69 i5 9320 3624 864o 7249 7960 0873 7280 4498 6600 8122 45 3o 93o4 3665 8608 733o 79 i3 0995 7217 466o 652i 83 2 5 3o 45 9288 3706 85 7 6 74n 7864 1117 7152 4822 644o 8528 i5 22 9272 3 7 46 8544 7492 7816 1238 7087 4984 635 9 8730 68 i5 9255 3 7 86 85n 7 5 7 3 7766 i35g 7022 5i46 6277 8932 45 3o 9239 3827 8478 7 654 7716 i48i 6 9 55 5307 6194 9i34 3o 45 0.9222 0.3867 1.8444 0.7734 2.7666 1.1601 3.6888 1.5468 4.6110 1.9336 i5 23 9205 3907 84io 7 8i5 7615 1722 6820 5629 6025 9 53 7 67 i5 9188 3 9 47 83 7 6 7895 7564 1842 6752 5 79 o 5940 97 3 7 45 3o 9171 3987 834i 7 97 5 7512 1962 6682 5950 5853 99 3 7 3o 45 9i53 4027 83o6 8o55 7 45 9 2082 6612 6110 5 7 66 2.0137 i5 24 9i35 4067 8271 8i35 7406 2202 6542 6269 56 77 0337 66 i5 9118 4107 8235 8214 7353 2322 6470 642Q 5588 o536 45 3o 9100 4147 8199 8294 7299 244l 63 9 8 6588 5498 0735 3o 45 9081 4187 8i63 83 7 3 7244 256o 6326 6746 5407 0933 i5 25 O 9063 4226 8126 8452 7189 2679 6252 6905 53i5 ii3i 65 i5 0.9045 0.4266 1.8089 o.853i 2.7134 1.2797 3.6178 1.7063 4.5223 2.1328 45 3o 9026 43o5 8o52 8610 7078 2915 6io3 7220 5129 i526 3o 45 9007 4344 8oi4 8689 7021 3o33 6028 7 3 7 8 5o35 1722 i5 26 8988 4384 7976 8767 6964 3i5i 5952 7 535 494o 1919 64 . i5 8969 4423 79 3 7 8846 6906 3269 58 7 5 7692 4844 2Il4 45 3o 8 9 4 9 4462 7899 8924 6848 3386 5 797 7848 4747 23lO 3o 45 8 9 3o 45oi 7860 9002 6789 35o3 5 7 i 9 8oo4 4649 25o5 i5 27 8910 454o 7820 9080 6730 3620 564o 8160 455o 2700 63 i5 8890 45 79 7780 9 i5 7 6671 3 7 36 556i 83i5 445 1 2894 45 3o 8870 4617 7740 9235 6610 3852 548o 8470 435i 3087 3o 45 o.885o o.4656 1.7700 0.9312 2.655o 1.3968 3.54oo 1.8625 4.4249 2.3281 i5 28 8829 46 9 5 7669 9389 6488 4084 53i8 8779 4147 3474 62 1 i5 8809 4733 7618 9 466 6427 4200 5236 8 9 33 4o45 3666 45 3o 8788 4772 7 5 7 6 9543 6365 43i5 5i53 9086 3 9 4i 3858 3o 45 8767 48io 7535 9620 63o2 443o 5069 9240 3836 4049 i5 29 8 7 46 4848 7492 9696 6239 4544 4985 9392 373i 4240 6t i5 8725 4888 745o 9772 6i 7 5 465 9 4900 9545 3625 443 1 45 3o 8704 4924 7407 9848 6111 4773 48i4 9697I 35i8 4621 3o 45 8682 4962 7364 9924 6o46 4886 4728 9849 34io 48n i5 3o 8660 5ooo 7321 r.0000 5g8i 5ooo 464 1 2.0000 33oi 5 000 60 Dcp. Lnt. Dep. | Lat. Dep. Lat. Dep. Lat. Dep. Lat Course. i! Dist. 1. i Dist. 2. Dist. 3. Dist. 4. Dist. 5. Traverse Table. 139 Coarse Dist. 6. Dist. 7. Dist. 8. Dist. 9. Dist. 10. | | Lat. Dep. Lat Dep. Lat Dep. Lat Dep. Lat Dep. "0" 7~ 74 45 C / i5 i5 5.7887 I.5782 6. 7 535 i.84i2 7.7183 2.Io42 8.683i 2.3673 9.6479 2.63o3 3o 7818 6o34 7454 8707 7090 i3 79 6737 4o5i 6363 6724 3o 45 7747 6286 7372 9001 6996 I7l5 6621 443o 6246 7i44 iG 16 o 7676 6538 7288 9295 6901 2o5i 65i4 4807 6126 7 564 74 i5 7600 6790 72o3 9 588 68o4 2386 64o4 5i85 6oo5 7993 45 3o 7 52 9 7041 7H7 9881 6706 2721 6294 556i 5882 8402 3o 45 7454 7292 7o3o 2.0174 6606 3o56 6181 5 9 38 5 7 5 7 8820 i5 t7 o 7 3 7 8 7542 6941 o466 65o4 3390 6067 63i3 563o 9 23 7 73 i5 73oi 7792 685i 0758 6402 3 7 23 5952 6689 55o2 9654 45 3o 7223 8042 6760 1049 6297 4o56 5835 7064 5372 3.0071 3d 45 5.7144 1.8292 6.6668 2.l34l 7.6192 2.4389 8.5 7 i6 2-7438 9.5240 3.0486 i5 18 o 7o63 854i 65 7 4 i63i 6o85 4721 55 9 5 7812 5 1 06 0902 72 i5 6982 8790 6479 1921 5976 5o53 5473 8i85 4970 i3i6 45 3o 6899 9038 6383 sail 5866 5384 5349 855 7 4832 1730 3o 45 6816 9286 6285 25oi 5 7 54 5 7 i5 5224 8g3o 4693 2i44 i5 19 6 7 3i 9 534 6186 2790 564i 6o45 5o 97 9301 455 2 2557 71 i5 6645 9781 6086 3078 5527 6370 4968 9672 4409 2969 45 3o 6558 2.0028 5 9 85 3366 54n 6705 4838 3.oo43 4264 338i 3o 45 I 64 7J 6381 0275 5882 3654 5294 7o33 4706 o4i3 4n8 3792 i5 20 o52i 5 77 8 3941 5i 7 5 7362 4572 0782 3969 4202 70 i5 5.6291 2.0767 6.56 7 3 2.4228 7-5o55 2.7689 8.4437 3.ii5i 9.3819 3.4612 45 3o 6200 IOI2 556 7 45i5 4934 8017 43oo 1519 3667 5o2i So 45 6108 1257 5459 4800 48n 8343 4162 1886 35i4 5429 i5 21 6oi5 i5o2 535i 5o86 4686 8669 4022 2253 3358 5837 69 i5 5920 1746 524i 53 7 i 456i 8995 388 1 2619 320I 6244 45 3o 5825 I99O 5129 5655 4433 9320 3738 2985 3o4 665o 3o 45 5729 2233 5017 5939 43o5 9645 35 9 3 335o 2881 7o56 i5 22 563i 2476 4903 6222 4i75 9969 3447 3715 2718 746i 68 ID 5532 27x9 4788 65o5 4o43 3.0292 3299 4078 2554 7865 45 3o 5433 2961 4672 6788 3910 061 5 3i49 4442 2388 8268 3o 45 5.5332 2.32o3 6.4554 2.7070 7.3776 3.0937 8.2998 3.48o4 9.2220 3.&671 i5 23 O 523o 3444 4435 735i 364o 1258 2845 5i66 2o5o 9073 67 i5 5127 3o85 43i5 7632 35o3 i58o 2691 5527 1879 9474 45 3o 5o24 3925 4194 7912 3365 1900 2535 588 7 1706 9875 3o 45 4919 4i65 4072 8192 3225 2220 2378 6247 i53i 4.0275 i5 24 48i3 44o4 3948 8472 3o84 2539 2219 6606 i355 0674 66 i5 4706 4643 3823 8750 2941 2808' 2059 6 9 65 1176 1072 45 3o 45 9 8 4882 36 97 9029 2797 3i 7 5 1897 7322 0996 14G9 3o 45 448 9 5l20 3570 9306 265i 3493 1733 7679 0814 1866 i5 25 4378 5357 3442 9 583 25o5 38o 9 i568 8o36 o63i 2262 65 i5 5.4267 2.5594 6.33i2 2.9860 7.2356 3.4i25 8.i4oi 3.8391 9.0446 4.2657 45 3o 4i55 583i 3i8i 3.oi36 2207 444 1 1233 8746 0259 3o5i 3o 45 4042 6067 3o49 o4n 2o56 4756 io63 9100 0070 3445 i5 26 3928 63o2 2916 0686 1904 5070 0891 9453, 8.9879 383 7 64 i5 38i2 6537 2781 0960 1750 5383 0719 9806 9687 4229 45 3o 3696 6772 2645 1234 1595 5696 o544 4-oi58 9493 4620 3o 45 3579 7006 2509 1507 i438 6008 o368 0509 9298 5oio i5 27 3460 7239 2370 1779 1281 6319 0191 o85 9 9101 53 9 9 63 i5 3341 7472 223l 2o5i 1121 663o 0012 1209 8902 5 7 y 7 45 3o 3221 77 5 209I 2322 0961 6940 7.9831 i55 7 8701 6i 7 5 3o 45 5.3099 2.7937 6.I949 3.25g3 7.0799 3.7249 7.9649 4.1905 8.8499 4.656i i5 28 2977 8168 1806 2863 o636 7558 9 465 2252 8295 6947 62 i5 2853 8399 1662 3i32 0471 7866 9280 2599 8089 7 332 45 3o 2729 863o i5 1 7 34oi o3o5 8173 9094 2944 7S82 7716 3o 45 2604 885 9 1371 366 9 oi38 8479 8905 3a8 9 ! 7673 8099 l5 29 4? 6355 0803, 3728 755y! 3o 45 | 4-4o59[4.0728j 5.i4o3 4-75i6 5.8 7 46 5.43o4 6.6080 6.10921 7.3432 6.7880 l5 43 olj 388i 0920 1 195 7740 85o8 456o 5822 i38o' 3i35 8200 47 1 r i 3702 mi 0986 79 63 8270 48i5 5553 1666 2837 85i8 45 3o 35a2 i3oi 0776 8i85 8o3o 5o68 5284 I 9 52 253 7 8835 3o 45, 3342 44 on 3 1 60 1491 o565 84o6 77^9 532i 5oi3 2236 2236 9i5i i5 1680 o354 8626 7 5 47 5573 474i 2519 1934 9 466 46 15 2978 1867 oi4i 8845 73o4 5823 446 7 2801 i63o 9779i 45 3oi 2 79 5 2o55 4.9928 9064 7060 6073 4i93 3o8a i3a5 7.0091J 3o 45! 2611 224l 97 i3 9281 68i5 6321 3917 336i ! 1019 o4oi; i5 45 0|| 2426 2426! 9497 9497 6569 056 9 364o 364o' 071 1 07II! 45 I Dep. ] Lot | IVp. Lat li Dtp. j Lat Dep. Lat Dep. Lat"J Covne. , Dist. 6. Dist . 7. Dist . 8. nist 9. DistTio. 1 142 Meridional Parts LATITUDE. Min. 1 2 3 4 5 6 7 8 9 10 11 12 Min. o 0.0 60.0 120.0 180.1 240.2 3oo.z! 360.7 421. 1 48i.6 542.2 6o3.i 664.1 725.3 I 1.0 61.0 21.0 81. 1 4l-2 01. i 61.7 22.1 82.6 43.3 o4. 1 65.3 26.3 I 2 2.0 62.0 22.0 82.1 42.2 02.4 62.7 23.1 83.6 44.3 o5.i 66.1 27.4 2 3 3.0 63.o 23. 83.i 43.2 o3.4 63.7 24.1 84.6 45.3 06.1 67.1 28.4 3 4 4.0 64.o 24.0 84.1 44.2 o4.4 64-7 25.1 85.6 46.3 07.1 68.2 29.4 4 5 5.0 65.o 25. 85.i 45.2 o5.4 65. 7 26.1 86.6 47.3 08.2 69.2 3o.5 5 6 6.0 66.0 26.0 86.1 46.2 06.4 66.7 27.1 87.6 48.3 09.2 70.2 3i.5 6 7 7.0 67.0 27.0 87.1 47.2 07.4 67.7 28.1 88.6 49.3 10.2 71.2 32.5 7 8 8.0 68.0 28.0 88.1 48.2 08.4 68.7 29.1 89.6 5o.3 11. 2 72.2 33.5 8 9 9.0 69.0 29.0 89.1 49-2 09.4 69.7 3o.i 90.7 5i.4 12.2 73.3 34.5 9 IO 1 0.0 70.0 i3o.o 190.1 25o.2 3io.4 370.7 43i.i 491.7 552.4 6i3.2 674.3 7 35.6 10 ii II. 71.0 3i.o 91. 1 5l.2 11.4 71.7 32.1 92.7 53.4 14.2I 75.3 36.6 11 12 12.0 72.0 32.0 92.1 52.2 12.4 72.7 33.i 93.7 54-4 i5.3 76.3 3 7 .6 12 i3 i3.o 73.0 33.o 93.1 53.2 i3.4 73.7 34.2 94.7 55.4 i6.3 77.3 38.6 i3 i4 14.0 74-o 34.0 94.1 54.2 14.4 74.7 35.2 9 5. 7 56.4 17.3 78-4 3 9 .6 14 i5 i5.o 75.0 35.o 95.1 55.2 i5.4 7 5. 7 36.2 96.7 5 7 -4 i8.3 79-4 40.7 i5 16 16.0 76.0 36.o 96.1 56.2 16.4 76.8 37.2 97-7 58.4 19.3 80.4 4i-7 16 l l 17.0 77.0 37.0 97.1 57.2 17.5 77.8 38.2 98.7 5 9 .4 20.3 81.4 42.7 17 18 18.0 78.0 38.o 98.1 58.2 i3.5 78.8 39.2 99.8 6o.5 21.3 82.4 43.7 18 r 9 19.0 79.0 39.0 99.1 59.2 19.5 79.8 4o.2 5oo.8 6i.5 22.4 83.5 44-8 '9 20 20.0 80.0 i4o.o 200.1 260.2 320.5 38o.8 44l.2 5oi.8 562.5 623.4 684.5 745.8 ,2C 21 21.0 81.0 4i.o 01. 1 6i.3 21.5 81.8 42.2 02.8 63.5 244 85.5 46.8 21 22 22.0 82.0 42.0 02.1 62.3 22.5 82.8 43.2 o3.8 64.5 25.4 86.5 47-8 22 23 23.0 83.o 43.0 o3.i 63.3 23.5 83.8 44-2 04.8 65.5 26.4 87.5 48. 9 23 24 24.0 84.0 44.0 o4-i 64-3 24.5 84-8 45.2 o5.8 66.6 27.4 88.6 49.9 24 25 25.0 85.o 45.0 o5.i 65.3 25.5 85.8 46.3 06.8 67.6 28.5 89.6 50.9 25 25 26.0 86.0 46.o 06.1 66.3 26.5 86.8 47-3 07.8 68.6 29.5 90.6 51.9 26 27 27.0 87.0 47.0 07.1 67.3 27.5 87.8 48.3 08.9 69.6 3o.5 91.6 53.o 27 28 28.0 88.0 48.0 08.1 68.3 28.5 88.8 49-3 09.9 70.6 3i.5 92.6 54.o 28 29 29.0 89.0 49.0 09.1 69.3 29.5 89.8 5o.3 10.9 71.6 32.5 93.6 55.o 29 3o 3o.o 90.0 i5o.o 210. 1 270.3 33o.5 390.8 45i.3 511.9 572.6 633.5 694.7 756.0 3o 3i 3i.o 91.0 5i.o 11. 1 71.3 3i.5 91.8 52.3 12.9 73.7 34.6 95.7 5 7 .i 3i 32 32.0 92.0 52.0 12. 1 72.3 32.5 92.9 53.3 13.9 74.7 35.6 96.7 58.i 32 33 33.o 93.0 53.1 i3.i 7 3.3 33.5 93.9 54.3 14.9 75.7 36.6 97-7 59.1 33 34 34.o 94.0 54.1 i4.i 74.3 34.5 94.9 55.3 15.9 76.7 3 7 .6 98.7 60.1 34 35 35,o 95.0 55.i i5.i 7 5.3 35.5 9 5. 9 56.3 16.9 77-7 38.6 99.8 61. 1 35 36 36.o 96.0 56.i 16.1 76.3 36.5 96.9 57.3 18.0 78.7 39.6 700.8 62.2 36 37 37.0 97.0 5 7 .i 17.1 77.3 3 7 .5 97-9 58.4 19.0 79-7 40.7 01.8 63.2 37 38 38.o 98.0 58.i 18.1 78.3 38.5 98.9 5 9 .4 20.0 80.8 41.7 02.8 64-2 38 39 39.0 99.0 59.1 19. 1 79.3 39.6 99.9 60.4 21.0 81.8 42.7 o3.8 65.2 3 9 4o 4o.o 100. 1 60. 1 220.2 280.3 34o.6 400.9 46i.4 522.0 582.8 643-7 704.9 766.3 4o 4i 4i.o 01. 61. 1 21.2 8i.3 4i.6 01.9 62.4 23. 83.8 44-7 05.9 67.3 4i 42 42.0 02.0 62.1 22.2 82.3 42.6 02.9 63.4 24-0 84-8 45.8 06.9 68.3 42 43 43.o o3.o 63.i 23.2 83.3 43.6 03.9 64-4 25.0 85.8 46.8 07.9 69.3 43 44 44.0 04.0 64.1 24.2 84.3 44.6 04.9 65.4 26.0 86.8 47-8 09.0 70.4 44 45 45.o o5.o 65.i 25.2 85.3 45.6 05.9 66.4 27.1 87.9 48.8 10.0 71.4 45 46 46.o 06.0 66.1 26.2 86.3 46.6 07.0 67.4 28.1 88.9 49-8 I 1.0 72.4 46 47 47.0 07.0 67.1 27.2 87.3 47-6 08.0 68.4 29.1 89.9 5o.8 12.0 73.4 47 48 48.o 08.0 68.1 28.2 88.3 48.6 09.0 69.5 3o.i 90.9 51.9 i3.i 74-5 48 49 49.0 09.0 69.1 29.2 89.3 49-6 10. 70.5 3i.i 91.9 52.9 14.1 7 5.5 49 5o 5o.o 1 1 0.0 170. 1 23o.2 290.3 35o.6 4n.o 471-5 532.1 592.9 653-9 715.1 776.5 5o 5i 5i.o 11. 71. 1 3l.2 91.3 5i.6 12.0 72.5 33.1 9 3. 9 54-9 16.1 77.5 5i 52 52. 12.0 72.1 32.2 92.4 52.6 i3.o 7 3.5 34.i 95.0 55.9 17.1 78.6 52 53 53.o i3.o 7 3.i 33.2 934 53.6 i4-o 74.5 35.i 96.0 57.0 18.2 79.6 53 54 54.o i4-o 74.1 34.2 944 54.6 i5.o 7 5.5 36.2 97.0 58.o 19.2 80.6 54 55 55.o i5.o 7 5.i 35.2 9 5.4 55.6 16.0 76.5 37.2 98.0 59.0 20.2 81.7 55 56 56.o 16.0 76.1 36.2 96.4 56.6 17.0 77.5 38.2 99.0 60.0 21.2 82.7 56 5 7 57.0 17.0 77.1 37.2 97-4 5 7 .6 18.0 78.5 3 9 .2 600.0 61.0 22.3 83.7 57 58 58.o 18.0 78.1 38.2 98.4 58.6 19.0 79.5 4o.2 01. 62.1 23.3 84-7 58 5 9 59.0 19.0 79.1 39.2 99.4 5 9 . 7 20.0 8o.5 4l.2. 02.1 63.i 24.3 85.8 5 9 Meridional Parts. 143 LATITUDE. 9 13 14 15 16 17 I 18 19 20 21 22 23 24 1 o 786.8 848.5 910.5 972.7 io35.3 1098.2 n6i.5 1225. 1 1289.2 i353. 7 i4i8.6 i484-i I 87.8 49-5 ii.5 73.8 36.3 99.3 62.5 26.2 90.3 54.8 19.7 85.2 I 2 88.8 5o.5 12.6 74.8 3 7 .4 1 ioo.3 63.6 27.3 91.3 55.8 20.8 86.3 a 3 89.9 5i.6 1 3.6 7 5. 9 38.4 01.4 64-7 28.3 92.4 56. 9 21-9 87.3 3 4 90.9 52.6 i4-6 76.9 3 9 .5 02.4 65. 7 29.4 9 3.5 58.o 23.o 88.4 4 5 91.9 53.6 1 5.7 78.0 4o.5 o3.5 66.8 3o.4 94.5 59.0 24-1 89.5 5 6 92.9 54.7 16.7 79.0 4i.6 o4-5 67.8 3i.5 9 5.6 60.1 25-1 90.6 b 7 94.0 55.7 17.7 80.0 42.6 o5.6 68.9 32.6 96.7 61.2 26-2 91.7 7 8 95.0 56. 7 18.8 81. 1 43-7 06.6 70.0 33.6 97.8 62.3 27.3 92.8 6 9 96.0 5 7 .8 19.8 82.1 44-7 07.7 71.0 34-7 98.8 63.4 28.4 93.9 9 IO 797.0 858.8 920.8 983.2 io45.8 1 108.7 1172.1 1235.8 1299.9 i364.5 1429.5 1495.0 10 1 1 98.1 5 9 .8 21.9 84.2 46.8 09.8 73.1 36.8 i3oi.o 65.6 3o.6 96.1 1 1 12 99.1 60.9 22.9 85.2 47-9 10.8 74.2 37.9 02.0 66.6 3i. 7 97.2 12 i3 800.1 61.9 23.9 86.3 48. 9 1 1.9 75.2 39.0 o3.i 67.7 32.8 98.3 i3 1 4 01.2 62.9 25.0 87.3 49.9 12.9 76.3 4o.o 04.2 68.8 33.9 99.4 1 4 i5 02.2 64.o 26.0 88.4 5i.o i4-o 77-4 41.1 o5.3 69.9 34-9 i5oo.5 i5 16 o3.2 65.o 27.0 89.4 52. 1 5.o 78.4 42.2 o6.3 70.9 36.o 01.6 16 [ 7 04.2 66.0 28.1 90.4 53.1 16.1 79.5 43.2 07.4 72.0 3 7 .i 02.7 '7 18 o5.3 67.1 29.1 91.5 54-1 17.1 8o.5 44-3 o8.5 7 3.i 38.2 o3.8 18 ><; o6.3 68.1 3o.i 92.5 55.2 18.2 81.6 45.4 09.6 74.2 39.3 o4-9 U J 20 807.3 869.1 931.2 993.6 io56.2 1119.2 1182.7 1245.4 i3io.6 1375.3 i44o.4 i5o6.o 20 :i 08.4 70.1 32.2 94.6 5 7 .3 20.3 83. 7 47-5 11. 7 76.4 4i.5 07.1 21 22 09.4 71.2 33.3 9 5.6 58.3 21.3 84-8 48.6 12.8 77-4 42.6 08.2 22 23 10.4 72.2 34.3 96.7 5 9 .4 22.4 85.8 49.6 1 3.8 78.5 43.7 09.3 23 l:4 11.4 73.2 35.3 97-7 60.4 23.4 86.9 5o-7 i4-9 79.6 44-8 10.4 24 25 12.5 74.3 36.3 98.8 61.4 24.5 88.0 5i.8 16.0 80.7 45.8 11. 5 25 26 i3.5 75.3 3 7 .4 99-8 62.5 3 5.5 89.0 52.8 17.1 81.8 46.9 12.6 26 -7 i4.5 76.3 38.4 1000.8 63.5 26.6 90.1 53.9 18.1 82.8 48.o i3. 7 -7 28 i5.5 77-4 3 9 .5 01.9 64-6 27.6 91. 1 55.o 19.2 83. 9 49.1 i4-8 28 29 16.6 78.4 4o.5 02.9 65.6 28.7 92.2 56.o 20.3 85.o 5o.2 1 5.9 29 3o 817.6 879.4 941.6 1004.0 1066.7 1129.7 1193.2 1257. 1 1321.4 i386.i i45i.3 1517.0 So 3 1 18.6 8o.5 42.6 o5.o 67.7 3o.8 94.3 58.2 22.5 87.2 52.4 18.1 3i 3 2 19.6 8i.5 43.6 06.1 68.8 3i.8 95.4 59.2 23.5 88.3 53.5 19.2 32 33 20.7 82.5 44-7 07.1 69.8 32.9 96.4 6o.3 24.6 89.4 54.6 20.3 33 34 21.7 83.6 45.7 08.1 70.9 34.o 97.5 61.4 2 5. 7 90.4 55.6 21.4 34 35 22.7 84-6 46. 7 09.2 72.0 35.i 98.5 62.4 26.7 91.5 56. 7 22.5 35 36 23.8 85.6 47-8 10.2 73.0 36.i 99.6 63.5 27.B 92.6 5 7 .8 23.6 36 37 24.8 86.7 48.8 11. 3 74.1 37.2 1200.7 64-6 28.9 93.7 58. 9 24.7 37 38 25.8 87.7 49.9 12.3 7 5.i 38.2 01.7 65.6 3o.o 94.8 60.0 25.8 18 39 26.9 88.7 50.9 i3.4 76.2 3 9 .3 02.8 66.7 3i.i 9 5.8 61. 1 26.9 59 4o 827.9 889.8 951.9 ioi4-4 1077.2 1 i4o.3 1203.9 1267.8 i33 2 .i 1396.9 :462.2 i528.o 4o 4i 28.9 90.8 53.o 1 5.4 78.3 4i.4 04.9 68.8 33.2 98.0 63.3 29.1 4i 42 29.9 91.8 54.o 16.5 79.3 42.4 06.0 69.9 34.3 99.1 644 3o.2 42 431 3i.o 92.9 55.i 17.5 80.4 43.5 07.1 71.0 35.3 I400.2 65.5 3i.3 43 44| 32. c! 93.9 56.i 18.6 81.4 44-6 08.1 72.1 36.4 OI.3 66.6 32.4 44 45 33. 94-9 5 7 .i 19.61 82.5 45.6 09.21 73.1 3 7 .5 02.4 67.7 1 33.5 45 46 34-1 96-0 58.2 20.6 83.5 46. 7 10.2 74.2 38.6 o3.4 68.8 34-6 46 47! 35.i 97.0 59.2 21.7 84-6 47-7 11. 3 75.3 39.7 o4.5 69.8 35.7 .:: 48 36.1 98.0 60.2 22.7 85.6 48.8 12.4 76.3 40.7 o5.6 70.9 S6.8 45 49 37.2 99.1 6i.3 23.8 867 49.9 i3.4 77-4 4i.8 06.7 72.0 379 49 5o 838.2 900.1 962.3 1024.8 1087.7 1 1 50.9 1 2i4.5 1278.5 i34a-9 1407. s i473. 1 1539.0 5c 5i 39.2 on 63.4 25.9 88.8 52.0 1 5.5 79.5 44.o 08.8 74.2 4o.i 5< 5 a 4.2 02.2 64-4 26.9 89.8 53.0 16.6 80.6 45.i 09.9 7 5.3 41.2 5 2 53 4i.3 o3.2 65.5 28.0 909 54-i 17.7 81.7 46.1 1 1.0 76.4 42.3 53 54 42.3 04.3 66.5 29.0 91.9 55.i 18.7 82.8 4 7 -2 1 2. 1 77.5 43.4 54 55 43.3 o5.3 67.5 3o.i 93.0 56.2 19.8 83.8 48.3 I 3.2 78.6 44-5 55 56 44-4 o6.3 68.6 3i.i 94.0' 57.2 20.9 84-9 49.4 14.3 79.7 45.6 56 5? 45.4 07.4 ! 69.6 32.2 95. il 58.3 21.9 86.0 5o.4 1 5.4 80.8 46.7 57 58 46-4 08.4 70.7 33.2 96.1] SyJi 23.0 S7.0 5 1. 5 16.5 81.9 47-B 58 '<; 47-5 09.4 7I.7 34.3 97.2 fm.4 24.1 SS -I 52.6 .7.5 83.o 4&-9 5_9 14:4 M E E I D I O N A L Tart a. LATITUDE. Mlc 25 26 27 28 29 30 31 32 33 34 35 Miu. o i55o.o 1616.5 1683.5 1751.2 1819.4 1888.4 1958.0 2028./J 2099.5 2171.5 2244.3 O I 5i.i 17.6 84-6 52.3 20.6 89.5 59.2 29.6 2100.7 72.7 45.5 I 2 52.2 18.7 85.8 53.4 21.7 90.7 60.4 30.7 01.9 73.9 46.8 . 3 53.3 19.8 86.9 54.6 22.9 91.9 61.6 3i. 9 o3.i 7 5.i 48.o 3 4 54-4 20.9 88.0 55.7 24.0 93.0 62.7 33.i o4.3 76.3 49.2 4 5 55.5 22.0 89.1 56.8 25.2 94.1 63. 9 34.3 o5.5 77.5 5o.4 5 6 56.6 23.2 90.3 58.o 26.3 9 5.3 65.o 35.5 06.7 78.7 5i.6 6 7 5 7 . 7 24.3 91.4 59.1 27.5 96.5 66.2 36. 7 07.9 80.0 52.9 7 8 58.8 25.4 92.5 60.2 28.6 97.6 6 7 -4 3 7 .8 09.1 81.2 54.i 8 9 5 9 . 9 26.5 93.6 61.4 29.7 98.8 68.5 39.0 io.3 82.4 55.3 9 10 i56i.o 1627.6 1694.8 1762.5 l83o.9 1899.9 1969.7 2040.2 2111.5 2183.6 2256.5 10 ii 62.1 28.7 9 5. 9 63.6 32.0 1901.1 70.9 41.4 12.7 84.8 5 7 .8 1 ' 12 63.2 29.8 97.0 64-8 33.2 02.3 72.0 42.6 13.9 86.0 59.0 12 i3 64-4 3i.o 98.1 65. 9 34.3 o3.4 73.2 43.8 i5.i 87.2 60.2 i3 i4 65.5 32.1 99.3 67.0 35.5 04.6 744 44-9 i6.3 88.4 61.4 14 i5 66.6 33.2 1700.4 68.2 36.6 05.7 75.6 46.i 17.5 89.6 62.7 i5 16 67.7 34.3 oi.5 69.3 3 7 .8 06.9 76.8 47.3 18.7 90.8 63. 9 16 . 17 68.8 35.4 02.6 70.5 38. 9 08.1 77-9 48.5 19.8 92.0 65.i 1 7 18 69.9 36.5 o3.8 71.6 4o.i 09.2 79.1 49-7 21.0 93.3 66.3 18 l 9 71.0 3 7 .6 o4-9 72.7 4l.2 10.4 80.2 5o.8 22.2 944 67.5 l 9 20 1572. 1 i638.8 1706.0 1773.9 1842.4 191 1.5 1981.4 2052.0 2123.^ 2195.7 2268.8 20 21 73.2 39.9 07.1 75.0 43.5 12.7 82.6 53.2 24.6 96.9 70.0 21 22 74-3 4i.o o8.3 76.1 44.6 i3.8 83. 7 54.4 25.8 98.1 71.2 22 23 754 42.1 09.4 77.2 45.8 i5.o 84-9 55.6 27.0 99.3 72.5 23 24 76.5 43.2 10. 5 78.4 46.9 16.2 86.1 56.8 28.2 2200.5 73.7 24 25 77.6 44.3 11.6 79.5 48.1 17.3 87.3 58.o 29.4 01.7 74.9 25 26 78.7 45.5 12.8 8o.6 49.2 i8.5 88.4 59.1 3o.6 o3.o 76.1 26 27 79-8 46.6 13.9 81.8 5o.4 19.6 89.6 6o.3 3i.8 o4-2 77-4 27 28 80.9 47-7 i5.o 83.o 5i.5 20.8 90.8 6i.5 33.o o5.4 78.6 28 29 82.1 48.8 16.1 84-1 52.7 21.9 92.0 62.7 34.2 06.6 79,8 29 3o i583.2 1649.9 1717.3 1785.2 i853.8 1923. 1 1993. 1 2063.9 2i35.4 2207.8 2281.0 3o 3i 84-3 5i.o 18.4 86.4 55.o 24.3 94.3 65.i 36.6 09.0 82.3 3i 32 854 52.2 19.5 87.5 56.i 25.4 9 5.5 66.2 37.8 10.2 83.5 32 33 86.5 53.3 20.7 88.6 57.2 26.6 96.6 67.4 39.0 11.4 84-7 33 34 87.6 544 21.8 89.8 58.4 27.8 97.8 68.6 4o.2 12.7 86.0 34 35 88.7 55.5 22.9 90.9 5 9 .6 28.9 99.0 69.8 4l-4 13.9 87.2 35 36 89.8 56.6 24.0 92.1 60.7 3o.i 2000.2 71.0 42.6 i5.i 88.4 36 i 37 90.9 5 7 .8 25.2 93.2 61.9 3i.3 01.3 72.2 43.8 i6.3 89.7 37 38 92.0 58. 9 26.3 94.3 63.o 32.4 02.5 734 45.0 17.5 90.9 38 3 9 9 3.i 60.0 27.4 9 5.5 64-2 33.6 03.7 74-5 46.2 18.7 92.1 39 4o i594.3 1661.1 I728.6 1796.6 i865.3 1934.7 2004.9 2075.7 2147.4 2219.9 2293.3 4o 4i 95.4 62.2 29.7 97.8 66.5 35.9 06.0 76.9 48.6 21.2 94.6 4i 42 96.5 63.4 3o.8 98.9 67.6 3 7 .i 07.2 78.1 49.8 22.4 9 5.8 42 43 97.6 64-5 31.9 1800.0 68.8 38.2 08.4 79.3 5i.o 23.6 97.0 43 44 98.7 65.6 33.i 01.2 69.9 3 9 .4 09.6 8o.5 52.2 24.8 98.3 44 45 99.8 66.7 34.2 02.3 71. 1 4o.5 10.7 81.7 53.4 26.0 99.5 45 46 1600.9 67.8 35.3 o3.5 72.2 41.7 11.9 82.9 54.6 27.2 2300.7 46 47 02.0 69.0 36.5 o4.6 73.4 42.9 i3.i 84.0 55.8 28.5 02.0 47 48 o3.i 70.1 3 7 .6 05.7 74.5 44.o i4.3 85.2 57.0 29.7 o3.2 48 49 04.2 71.2 38. 7 06.9 7 5. 7 45.2 i5.4 86.4 58.2 30.9 04.4 4 9 5o i6o5.4 1672.3 i 7 3 9 . 9 1808.0 1876.8 1946.4 2016.6 2087.6 2159.4 2232.1 23o5.7 5o 5i o6.5 73.4 41.0 09.2 78.0 47-5 17.8 88.8 60.7 33.3 06.9 5i 52 07.6 74.5 42.1 io.3 79.2 48. 7 19.0 90.0 61.9 34-6 08.1 5a 53 08.7 7 5. 7 43.2 11.4 8o.3 49.9 20.2 91.2 63.i 35.8 09.4 53 54 09.8 76.8 44-4 12.6 8i.5 5i.o 21.3 92.4 64-3 37.0 10.6 54 55 10.9 77-9 45.5 i3. 7 82.6 52.2 22.5 9 3.6 65.5 38.2 11. 8 55 56 12.0 79.0 46.6 14.9 83.8 53.4 23.7 94.8 66.7 3 9 .4 i3.i 56 5 7 i3.i 80.2 47-8 16.0 84-9 54.5 24.9 96.0 67.9 40.7 i4.3 57 58 l4-2 8i.3 48. 9 17.2 86.1 55.7 26.0 97.1 69.1 4i-9 i5.5 58 59 i5.4 82.4 5o.o i8.3 87.2 56. 9 27.2 98.3 70.3 43.i 16.8 5 9 Meridional Parts. 145 LATITUDE. Mm 36 37 J 38 39 40 41 42 | 43 44 45 46 Min. O 23i8.o 23 9 2.6 2468.3 2545.o 2622.7 2701.6 2781.7 2863.1 2945.8 3o3o.o 3n5.6 O I 19.2 93.9 69.5 46.2 24.0 02.9 83.i 64-5 47.2 3i.4 17.0 1 S 20.5 95.1 70.8 47-5 25.3 o4.3 84-4 65.8 48.6 32.8 i8.5 a 3 21.7 96-4 72.1 48.8 26.6 o5.6 85.8 67.2 5o.o 34.2 19.9 3 4 23.0 97-7 73.4 5o.i 27.9 06.9 87.1 68.5 5i.4 35.6 21.4 A 5 24.2 98.9 74.6 5i.4 29.2 o8.3 88.5 70.0 52.8 37.0 22.8 5 6 25.4 2400.2 7 5. 9 52.7 3o.5 09.6 89.8 71.3 54.2 38.4 24.2 6 7 26.7 01.4 77.1 54.o 31.9 10.9 91.2 72.7 55.6 3 9 .8 25.7 7 8 27.9 02.7 78.5 55.3 33.2 12.2 92.5 74.1 57.0 4i.3 27.1 8 9 29.1 03.9 79-7 56.6 34.5 i3.5 9 3.8 75.4 58.3 42.7 28.5 9 IO 233o.4 24o5.2 2481.0 2 55 7 .8 2635.8 2714.9 2795.1 2876.8 2959.8 3o44-i 3i3o.o 10 II 3i.6 06.4 82.2 59.1 3 7 .i 16.2 96.5 78.2 61. 1 45.5 3i.5 II 12 32.9 O7.7 83.5 60.4 38.4 17.5 97-9 79.5 62.5 47.0 32.9 12 i3 34.1 O9.O 84-8 61.7 3 9 . 7 18.9 99.3 80.9 63.9 48.4 34.3 13 i4 35.3 10.2 86.1 63.o 4i.o 20.2 2800.6 82.3 65.3 49.8 35.8 i4 i5 36.6 11. 5 87.4 64-3 42.3 21.5 02.0 83. 7 66.7 5i.? 3 7 .2 i5 16 37.8 12.7 88.6 65.6 43.6 22.9 o3.3 85.o 68.1 5a.6 38. 7 16 7 39.0 14.0 89.9 66.9 44.9 24.2 04.7 86.4 69.5 54.i 4o.i 17 18 4o.3 l5.2 91.2 68.2 46.3 2 5.5 06.0 87.8 70.9 55.5 4i.6 18 *9 4i.5 iG.5 92.4 69.5 47-6 26.8 07.3 89.1 72.3 56. 9 43.0 J 9 20 2342.8 2417-8 2493.7 2570.7 2648.9 2728.2 2808.8 2890.5 2973.7 3o58.3 3i44-5 20 21 44.o 19.0 95.0 72.0 5o.a 29.5 IO.I 91.9 7 5.i 59.7 45.9 21 22 45.3 20.3 96.3 7 3.3 5i.5 3o.8 II.4 93.3 76.5 61.2 47-4 22 23 46.5 21.5 97.6 74-6 52.8 32.2 12.8 94.7 77-9 62.6 48.8 23 24 47-7 22.8 98.8 75.9 54-1 33.5 i4.i 96.0 79.3 64.o 5o.3 24 25 49-o 24-" 25oo.i 77.2 55.5 34.8 i5.5 97-4 80.7 65.4 5i. 7 25 26 5o.2 25.3 01.4 78.5 56.8 36.2 16.8 98.8 82.1 66.9 53.2 26 27 5i.5 26.5 02.7 79.8 58.i 3 7 .5 18.2 2900.2 83.5 68.3 54.6 27 28 52.7 27.8 03.9 81. 1 5 9 .4 38.8 19.5 oi.5 84-9 69.7 56.i 28 89 54.o 29.1 o5.2 82.4 60.7 4o.2 20.9 02.9 86.3 71.1 5 7 .5 29 3c 2355.2 243o.3 25o6.5 2583-7 2662.0 274t.5 2822.3 2904.3 2987.7 3072.6 3i5g.o 3o 3i 56.5 3i.6 07.8 85.o 63.3 42-9 23.6 05.7 89.1 74.0 60.4 3i 32 57.7 32.9 09.0 86.3 64.6 44-2 25. 07.1 90.5 75.4 61.9 32 33 58. 9 34.i 10.3 87.6 66.0 45.5 26.3 08.4 91.9 76.9 C3.3 33 34 60.2 35.4 11.G 88.9 67.3 46-9 27.7 09.7 93.3 78.3 64.8 34 35 61.4 36.7 12.9 90.2 68.6 48.2 29.0 1 1.2 94.7 79-7 6C.2 35 36 62.7 37.9 l4*2 91.5 69.9 49-5 3o.4 12.6 96.1 81. 1 67.7 36 3? 63. 9 39.2 i5.4 92.8 71.2 50.9 3i. 7 i4-o 97.5 82.6 69.1 37 38 65.2 4o.4 16.7 94.1 72.5 52.2 33.i i5.3 98.9 84-o 70.6 38 3 9 66.4 41.7 18.0 95.4 7 3. 9 53.5 34-5 16.7 3ooo.3 85.4 72.0 3 9 4o 2367.6 2443.o 2519.3 2596.7 2675.2 2754-9 2835.8 2918.1 3ooi.8 3086.9 3i 7 3.5 4o 4i 68.9 44.2 20.5 98.0 76.5 56.2 37.2 19.5 o3.2 88.3 75.0 4i 42 70.2 45.5 21.8 99.3 77-8 5 7 .6 38.6 20.9 o4.6 89.7 76.4 42 43 71.4 46.8. 23.1 2600.5 79.1 58.9 39.9 22.3 06.0 91.2 77-9 43 44 72.6 48.o 24.4 01.9 8o.5 60.2 4i.3 23.6 07.4 92.6 79.3 44 45 73.9 49-3 25.7 o3.2 81.8 6i.5 42.6 25-0 08.8 94.0 80.8 45 46 7 5.. 5o.6 27.0 04.5 83.i 62.9 44-o 26.4 10.2 9 5.5 82.3 46 47 76.4 5i.8 28.3 o5.8 84-4 64.3 45.4 2 7 .8 1 1.6 96.9 83.7 47 48 77.6 53.i 29.5 07.1 85. 7 65.6 46. 7 29.2 1 3.o 98.3 85.2 48 4 9 78.9 54-3 3o.8 08.4 87.1 66.9 48.1 3o.6 i4-4 99-7 86.6 4 9 5o j38o.i 2455.6 2532.1 2609.7 2688.4 2768.3 2849.5 2932.0 3oi5.8 3ioi.2 3i88.i 5o 5i 81.4 56. 9 33.4 1 1.0 89.7 69.6 5o.8 33.3 17.2 02.6 89.6 5i 52 ,82.6 58.i 34.7 12.3 91.0 71.0 52.2 34-7 18.7 o4.ij 91.0 52 53 83. 9 59.41 36. i3.6 92.3 72.3 53.5 36.i 20.1 o5.6 92.5 53 54 85.i 60.7I 37.2 i4-9 93.7 7 3. 7 54.9 37.5 21.5 07.0 94.0 54 55 86.4 61.9 38.5 16.2 95.0 75.0 56.3 38.9! 22.9 08.4 95.4 55 56 87.6 63.2 3 9 .8 17.5 96.3 76.3 57.7 4o.3; 24.3 09.8 96.9' 56 57 88.9 64.5 4i.i 18.8 97-6. 77.7 59.0, 4 1 -7, 25.7 1 1.2 98.4 57 58 90.2I 65.8 42.4 20.1 99.0 79. i) 6o.5 43.1] 27.1 12.7 998 58 5 9 91.4, 67.0 43.6 21.4 2700.3! 80.4 61.7, 44-4 28.5 14.1 32oi.3 5^ j 146 Meridional Parts. LATITUDE. Min. 47 48 49 50 51 52 53 54 55 56 57 Mia. O 3202.7 3291.5 3382.1 3474.5 3568.8 3665.2 3763.8 3864.6 3968.0 4073.9 4182 6 I o4*2 93.0 83.6 76.0 70.4 66.8 65.4 66.3 69.7 75.7 84.5 I 2 05.7 94.5 85.i 77.6 72.0 08.4 67.1 68.0 71.5 77.5 86.3 2 3 07.1 96.0 86.7 79.1 73.6 70.1 68.8 69.7 73.2 79.3 88.1 3 4 08.6 97.5 88.2 80.7 75.2 71.7 70.4 71.5 75.0 8l. T 90.0 4 5 10. 1 99.0 89.7 82.3 76.8 73.3 72.1 73.2 76.7 82.9 91.8 5 6 ii.5 33oo.5 91.3 83.8 784 75.0 73.7 74.9 78.4 84.7 93.7 6 7 i3.o 02.0 92.8 85.4 79-9 76.6 75.4 76.6 80.2 86.4 9 5.5 7 8 i4-5 o3.5 94.3 87.0 8i.5 78.2 77.1 78.3 82.0 88.2 97.3 8 9 15.9 o5.o 9 5.8 88.5 83.i 79.8 78.7 80.0 83. 7 90.0 99.2 9 IO 3217.4 33o6.5" 3397.4 3490.1 3584-7 368i.5 3780.4 3881.7 3985.4 4091.8 4201.0 10 ii 18.9 08.0 98.9 91.6 86.3 83.i 82.1 83.4 87.2 93.6 02.9 11 12 20.3 09.5 34oo.4 9 3. 2 87.9 84-7 83. 7 85.i 88.9 95.4 04.7 12 i3 21.8 11. 02.0 -$ 7 3 89.5 86.4 85.4 86.8 90.7 97.2 06.6 i3 i4 23.3 12.5 o3.5 91.1 88.0 87.1 88.5 92.5 99.0 08.4 14 i5 24.8 14.0 o5.o 97-9 92.7 89.6 88.8 90.2 94.2 4100.8 io.3 i5 16 26.2 i5.5 06.6 99.4 9 4-3 91.3 90.4 92.0 96.0 02.6 12. 1 16 *7 27.7 17.0 08.1 35oi.o 9 5. 9 92.9 92.1 93.7 97-7 o4.4 i4-o 17 18 29.2 i8.5 09.6 02.6 97.5 94.5 93.8 95.4 99.5 06.2 i5.8 18 *9 30.7 20.0 11. 1 o4-i 99.1 96.2 9 5.5 97.1 4001.2 08.0 17.7 19 20 3232.1 3321.5 3412.7 35o5-7 3600.7 3697.8 3797.1 3898.8 4oo3.o 4109.8 4219.5 20 21 33.6 23.0 14.2 07.3 02.3 99.4 98.8 3900.5 o4-7 11.6 21.4 21 22 35.i 24.5 i5. 7 08.8 03.9 3701. 1 38oo.5 02.2 o6.5 1 3.4 23.2 22 23 36.6 26.0 17.3 10.4 o5.5 02.7 02.2 04.0 o8.3 l5.2 25.1 23 24 38.o 27.5 18.8 12.0 07.1 o44 o3.8 05.7 10. 17.1 27.O 24 25 39.5 29.0 20.4 1 3.5 08.7 06.0 o5.5 07.4 11.8 18.9 28.8 25 26 41.0 3o.6 21.9 i5.i io.3 07.6 07.2 09.1 i3.5 20.7 3o.6 26 27 42.5 32.1 23.5 16.7 11.9 09.3 08.9 10.8 i5.3 22.5 32.5 27 28 44-0 33.6 25. i8.3 i3.6 10.9 io.5 12.5 17.1 24.3 34-4 28 29 45.4 35.i 26.5 19.8 i5.i 12.6 12.2 14.3 18.8 26.1 36.2 29 3o 3246.9 3336.6 3428.0 3521.4 3616.7 3714.2 38i3-9 3916.0 4020.6 4127.9 4238.1 3o Ji 48.4 38.i 29.6 23.0 18.4 i5.8 1 5.6 17.7 22.4 29.7 4o.o 3i 32 49.9 3 9 .6 3i.i 24.6 20.0 17.5 17.3 19.4 24-1 Si .5 4i.8 32 33 5i.4 41.1 32.7 26.1 21.6 19.1 18.9 21.2 25.9 33.3 43.7 33 34 52.8 42.6 34.2 27.7 23.2 20.8 20.6 22.9 27.7 35.2 45.5 34 35 54.3 44-1 35.8 29.3 24.8 22.4 22.3 24-6 29.4 37.0 47-4 35 36 55.8 45.7 3 7 .3 3o.8 26.4 24.1 24.0 26.3 3l.2 38.8 4 9 .3 36 37 5 7 .3 47.2 38.8 32.4 28.0 25.7 25.7 28.1 33.0 4o.6 5i.i 37 38 58.8 48. 7 4o.4 34.o 29.6 27.4 27.4 29.8 34.8 42.4 53.o 38 3 9 6o.3 5o.2 41.9 35.6 3i.3 29.0 29.1 3i.5 36.5 44-2 54,9 39 4o 3261.7 3351.7 3443.5 3537.1 3632.8 3730.7 383o.8 3933.2 4o38.3 4 1 46. 1 4256.7 4o 4i 63.2 53.2 45.o 38.7 344 32.3 32.4 35.o 4o.i 47-9 58.6 .4i 4a 64-7 54.7 46.6 4o.3 36.i 34.o 34.i 36.7 41.8 49-7 6o.5 42 43 66.2 56.2 48.i 41.9 37.7 35.6 35.8 38.4 43.6 5i.5 62.3 43 44 67.7 5 7 .8 49-7 43.5 3 9 .3 3 7 .3 3 7 .5 4o.2 45.4 53.4 64.2 44 45 69.2 5 9 .3 5l.2 45.o 40.9 38.9 39.2 4l-9 47.2 55.2 66.1 45 40 70.7 60.8 52.8 46.6 42.5 4o.6 40.9 43.6 49.0 57.0 68.0 46 47 72.1 62.3 54.3 48.2 44.i 42.2 42.6 45.4 50.7 58.8 69.8 47 48 73.6 63.8 55.8 49.8 45.8 43.9 44.3 47.1 52.5 60.7 71.7 48 4 9 75.1 65.4 5 7 -4 5i.4 47-4 45.5 46.o 48.8 54.3 62.5 7 3.6 49 5o 3276.6 3366-9 3458-9 3553.0 3649-o 3747-2 3847-7 3950.6 4o56.i 4i64-3 4275.5 5o 5i 78.1 68.4 6o.5 54.6 5o.6 48.8 49-4 52.3 5 7 .8 66.1 77-4 5i 52 79.6 69.9 62.0 56.i 52.2 5o.5 5i.i 54.o 5 9 .6 68.0 79.2 52 53 81. 1 71.4 63.6 57.7 53.8 52.1 52.8 55.8 61.4 69.8 81.1 53 54 82.6 73.0 65.2 5 9 .3 55.5 53.8 54-4 5 7 .5 63.2 71.6 83.o 54 55 84.1 74.5 66.7 60.9 5 7 -i 55.5 56.i 5 9 .3 65.o 7 3.5 84-9 55 56 85.6 76.0 68.3 62.5 58-7 57.1 5 7 .8 61.0 66.8 75.3 86.8 56 57 87.1 77.5 69.8 64.0 6o-3 58.8 5 9 .5 62.7 68.5 77.1 88.6 57 58 88.5 79.0 71.4 65.6 61.9 6o.4 61.2 64-5 70.3 79.0 90.5 58 j5 9 90.0 80.6 73.0] 67.2 63-6 62.1 62.9 66.2 72.1 80.8 92.4 5 9 Merilional Farts. 147 LATITUDE. Mjl 58 59 60 61 62 63 64 65 66 67 68 Min. o 4294.3 4409.1 4527.4 4649.2 4775.0 4904.9 5039.4 5i 7 8.8 5323.5 5474.0 563o.8 O I 96.2 11. 1 29.4 5i.3 77.1 07.1 4i-7 81.2 26.0 76.6 33.5 1 a 98.1 i3.o 3i.4 53.4 79.3 09.4 44.0 83.5 28.4 79.1 36.2 3 3 43oo.o 1 5.o 33.4 55.4 81.4 11.6 46.3 85. 9 30.9 81.7 38.8 3 4 01.9 16.9 35.4 57.5 83.5 i3.8 48.6 88.3 33.4 84-3 4i.5 4 5 03.7 18.9 3 7 .4 5 9 .6 85.6 16.0 50.9 90.7 35.8 86.9 44-2 5 6 o5.6 20.8 39.4 61.6 87.8 18.2 53.1 93.1 38.3 89.4 46. 9 e 7 07.5 22.8 4i-4 63. 7 89.9 20.4 55.4 95.4 4o.8 92.0 49-6 7 8 09.4 24-7 43.4 65.8 92. i| 22.6 5 7 . 7 97.8 43.2 94.5 52.3 8 9 ii.3 26.7 45.4 67.8 94.2 24.8 60.0 5200.2 45.7 97.1 54.9 9 IO 43i3.2 4428.6 4547-4 4669.9 4796.3 4927.0 5o62.3 5202.6 5348.2 5499.7 5657.6 10 ii i5.i 3o.6 49.4 72.0 98.5 29.2 64-6 04-9 5o7 55o2.3 6o.3 11 12 17.0 32.5 5i.4 74-i 4800.6 3i.5 66.9 O7.3 53.i 04.9 63.o 12 i3 18.9 34.5 53.5 76.1 02.8 33.7 69.2 O9.7 55.6 07.4 65. 7 i3 i4 20.8 36.4 55.5 78.2 04.9 35.9 71.5 12. 1 58.i 10. 68.4 i4 i5 22.7 38.4 5 7 .5 8o.3 07.1 38.i 73.8 l4-5 60.6 12.6 71. 1 i5 16 24.6 4o.3 5 9 .5 82.4 09.2 4o.3 76.1 16.9 63.i 1 5.2 73.8 16 *7 26.5 42.3 6i.5 84-5 11.4 42.6 78.4 19.3 65.6 17.8 76.5 17 18 28.4 44-2 63.5 86.5 i3.5 44-8 80.7 21.6 68.0 20.4 79.2 18 *9 3o.3 46.2 65.6 88.6 i5. 7 47.0 83.o 24.0 70.5 23.0 81.9 '9 20 4332.2 4448.2 456 7 .6 4690.7 4817.8 4949.2 5o85.3 5226.4 5373.0 5525.6 5684-6 20 21 34-1 5o.i 69.6 92.8 20.0 5i.5 87.6 28.8 7 5.5 28.1 87.3 21 22 36.o 52.1 71.6 94.9 22.1 53.7 90.0 3l.2 78.0 30.7 90.0 22 23 37.9 54.i 73.6 97.0 24-3 55.9 92.3 33.6 8o.5 33.3 92.7 23 24 3 9 .8 56.o 75.7 99.1 26.4 58.2 94.6 36.0 83.o 35.9 9 5.5 24 25 4i.8 58.o 77-7 4701. 1 28.6 60.4 96.9 38.4 85.5 38.6 98.2 25 26 43.7 60.0 79-7 o3.2 3o.8 62.6 99.2 4o.8 88.0 4l.2 5700.9 26 2 7 45.6 61.9 81.7 o5.3 32.9 64-9 5ioi.5 43.2 90.5 43.8 o3.6 27 28 47-5 63. 9 83.8 07.4 35.i 67.1 o3.8 45.7 93.0 46.4 o6.3 28 29 49.4 65. 9 85.8 09.5 37.3 69.4 06.2 48.1 9 5.5 49.0 09.1 29 3o 435i.3 4467.8 4587.8 4711.6 4839.4 4971.6 5io8.5 5 2 5o.5 5398.0 555i.6 5711.8 3o 3i 53.2 69.8 89.9 i3. 7 4i.6 7 3.8 10.8 52.9 54oo.5 54.2 i4-5 3i 32 55.i 71.8 91.9 i5.8 43.8 76.1 i3.i 55.3 o3.o 56.8 17.3 32 33 5 7 .i 73.7 93.9 17.9 45.9 78.3 i5.5 57.7 o5.5 5 9 .4 20.0 33 34 59.0 75.7 96.0 20.0 48.i 80.6 17.8 60.1 08.1 62.1 22.7 34 35 60.9 77-7 98.0 22.1 5o.3 82.8 20.1 62.6 10.6 64-7 25.5 35 36 62.8 79-7 4600.0 24.2 52.4 85.i 22.4 65.o i3.i 67.3 28.2 36 37 64-7 81.6 02.1 26.3 54.6 87.3 24.8 67.4 1 5.6 69.9 30.9 37 38 66.7 83.6 o4- 1 28.4 56.8 89.6 27.1 69.8 18.1 72.6 33.7 38 3 9 68.6 85.6 06.1 3o.5 59.0 91.8 29.4 72.2 20.6 75.2 36.4 3 9 4o 4370.5 4487.6 4608.2 4732.6 486i.i 4994.1 5i3i.8 5274.7 5423.2 5577.8 5739.2 4o 4i 72.4 89.6 10.2 34.7 63.3 96.3 34.i 77.1 25.7 80.4 4i-9 4i 42 74.3 91.5 12.3 36.8 65.5 98.6 36.5 79.5 28.2 83.i 44.7 4a 43 76.3 9 3.5 i4.3 39.0 C7.7 5ooo.8 38.8 82.0 3o.8 85.7 47-5 43 44 78.2 9 5.5 1G.4 4i.i 69.9 o3.i 4i.i 84-4 33.3 88.4 5o.2 44 45 80.1 97.5 18.4 43.2 72.0 o5.4 43.5 86.8 35.8 91.0 52.9 45 46 82.1 99.5 20.5 45.3 7 4.2 07.6 45.8 89.3 38.4 93.6 55.7 46 47 84.o 43oi.5 22.5 47-4 76.4 09.9 48.2 91.7 40.9 96.3 58.5 47 48 85. 9 o3.4 24.6 4 9 -5 78.6 12.2 5o.5 94.1 43.4 98.9 61.2 t^> 49 87.8 o5.4 26.6 5i.G 80.8 i4-4 52. 9 96.6 46.o 56oi.6 64.o 49 5o 4389.8 4507.4 4628.7 4753.7 4883.o'5oi6.7 5i55.2 5299.0 5448.5 56c>4.2 5766.8 5o 5i 91.7 09.4 30.7 55.9 85.2 18.9 57.6 53oi.5 5i.o 06.9 69.5 5i 52 93.6 11.4 32.8 58.o 87.4 21.2 59.9 03.9 53.6 09.5 72.3 52 53 95.6 i3.4 34.8 60.1 89.5 2 3.5 62.3 o6.3 56.1 12.2 7 5.i 53 54 97.5 i5.4| 3G.9 62.2 91.7 25.^ 64-6 08.8 58.7 14.8 77-9 54 55 99.4 17.41 39.0 64-4 93.9 28.0 67.0 11.2 61.2 17.5 80.6 55 56 44oi.4 19.4, 4i-o 66.5 96.1 3o.3 69.4 1 3.7 63.8 20.2 83.4 56 5 7 o3.3 21.4 43.0 68.6 98.3 32.6 7'-7 1 & 1 66.3 22. g : 86.2 57 58 o5.3 23.4 45.1 7o.7'4<;oo.5 34-9 74-1 18.6: 68.9J 25.5; 89.0 58 5 9 07.2 25.4 4 7 .2 72. 9 | 02.7 37. j 76.4 2 1. 1 71.4 28.2 91.8 5 , 148 Meridional Parts. ~ --- ._. .1.- i LATITUDE. Mia 69 70 71 72 73 74 O 76 77 78 79 Mill. o 5794.6 5965.9 6145.7 334.8 6534-4 6745.7 6970.3 7210. 1 7467.2 7744.6 8045.7 I 97-4 68.8 48.8 38.i 3 7 .8 49-4 74.2 14.2 71.7 49-4 5i.o I 2 58oo.i 71.8 51.9 4i.3 4i.3 53.o 78.I i8.3 76.1 54.2 56.2 2 3 02.9 74-7 54.9 44-6 44.7 56.6 81.9 22.5 80.6 5g.o 6i.5 3 4 05.7 77.6 58.o 4;.8 48.i 6o.3 85.8 26.6 85.o 63. 9 66.7 4 5 o8.5 80.6 61. 1 5i.i 5i.6 63.9 89.7 3o.8 89.5 68.7 72.0 5 6 n. 3 83.5 64.2 54.3 55.o 67.6 93.6 35.o 94.0 73.5 77.3 6 7 l4-2 86.4 67.3 5 7 .6 58.5 71.2 97.5 39.1 98.5 78.4 82.6 7 8 1.7.0 89.4 70.4 60.8 61.9 74.9 7001.4 43.3 75o3.o 83.3 87.9 8 9 19.8 92.3 7 3.5 64.1 65.3 78.5 o5.3 47-5 07.4 88.1 93.2 9 IO 5822.6 5995.3 6176.6 6367.4 6568.8 6782.2 7009.2 7251.7 7511.9 7793.0 8098.5 10 ii 2 5.4 98.2 79-7 70.6 72.3 85.9 i3.i 55.8 i6.5 97-9 8io3.8 11 12 28.2 6001.2 82.8 73.9 7 5. 7 89.6 17.0 60.0 21.0 7802.8 09.2 12 i3 3i.o 04.1 85. 9 77.2 79.2 93.2 20.9 64.2 25.5 07.7 i4.5 i3 i4 33.8 07.1 89.0 80.4 82.6 . 9 6 -9 24.8 68.4 3o.o 12.6 19.9 14 . i5 36.7 10. 92.1 83. 7 86.1 6800.6 28.8 72.6 34.5 i 7 .5 25.2 i5 16 39.5 i3.o' 9S.2 87.0 89.6 o4-3 32.7 76.8 39.1 22.4 3o.6 16 *7 42.3 16.0 98.3 90.3 93.0 08.0 36.6 81. 1 43.6 27.3 36.o n 18 45.i 18.9 6201.4 9 3.6 96.5 11.6 4o.6 -85.3 48.i 32.2 4i-3 18 l 9 48.0 21.9 o4.5 96.9 6600.0 i5.4 44-5 89.5 52.7 37.2 46.7 *9 20 585o.8 6024.9 6207.7 6400.2 66o3.5 6819. 1 7048.5 7293.7 7557.3 7842.1 8i5 2 .i 20 21 53.6 27.8 10.8 o3.4 07.0 22.8 52.4 98.0 61.8 47.1 5 7 .5 21 22 56.5 3o.8 13.9 06.7 io.5 26.5 56.4 7302.2 66.4 52. 62.9 22 23 59.3 33.8 17.0 10. 1 i4-o 3o.2 6o.3 06.4 71.0 57.0 68.4 23 24 62.2 36.8 20.2 1 3.4 17.5 33.9 64.3 10.7 7 5.5 61.9 7 3.8 24 25 65.o 39.8 23.3 16.7 21.0 37.6 68.3 i5.o 80.1 66.9 79.2 25 26 67.8 42.7 26.5 20.0 24.5 4i.3 72.2 19.2 84-7 71.9 84-7 26 27 70.7 45.7 29.6 23.3 28.0 45.i 76.2 23.5 89.3 76.9 90.1 27 28 73.5 48. 7 32.7 26.6 3i.5 48.8 80.2 27.7 93.9 81.9 9 5.6 28 29 76.4 5i. 7 35.9 29.9 35.o 52.5 84.2 32.o 98.5 86.9 8201. 1 29 3o 5379.2 6o54-7 6239.0 6433.3 6638.5 6856.3 7088.2 7336.3 7603.2 7891.9 8206.6 3o 3i 82.1 5 7 . 7 42.2 36.6 42.1 60.0 92.2 4o.G| 07.8 96. 9| 12. 1 3i 32 85.o 60.7 45.3 39.9 45.6 63.8 96.2 44-9 12.4 7902.0 17.6 32 33 87.S 63. 7 48.5 43.2 49.1 67.5 7100.2 49.2 17.0 07.0 23.1 33 34 90.7 66.7 5i. 7 46.6 52.6 71.3 04.2 53.5 21.7 12.0 28.6 34 35 9 3.6 69.7 54.8 49.9 56.2 75.0 08.2 5 7 .8 26.1 17.1 34-1 35 36 96.4 72.7 58.o 53.3 59.7 78.8 12.2 62.1 3i.o 22.1 39.7 36 37 99.3 7 5. 7 61.2 56.6 63.3 82.6 i6.3 66.4 35.6 27.2 45.2 37 38 5902.2 78.8 64-3 60.0 66.8 86.3 20.3 70.7 4o.3 32.3 5o.8 38 3 9 o5.o 81.8 67.5 63.3 70.4 90.1 24-3 75.1 45.o 3 7 .3 56.3 3 9 4o 5907.9 6084.8 6270.7 6466.7 6673.9 6893.9 7128.4 7379.4 7649.7 7942.4 87.61.9 4o 4i 10.8 87.8 73.9 70.0 77-4 97-7 32.4 80.7 54.3 47-5 67.5 4i 42 i3. 7 90.8 77.1 73.4 81.0 6901.5 36.4 88.1 59.0 52.6 7 3.i '42 43 16.6 93.9 80.2 76.7 84-6 o5.3 4o.5 92.4 63. 7 5 7 . 7 78.6 43 44 19.4 96.9 83.4 80.1 88.2 09.1 44-5 96.8 68.4 62.8 84-3 44 45 22.3 99.9 86.6 83.5 91.7 12.9 48.6 7401. 1 73.2 68.0 S9.9 45 46 25.2 6io3.o 89.8 86.9 9 5.3 16.7 52.7 o5.5 77-9 7 3.i 9 5.5 46 47 28.1 06.0 93.0 90.2 98.9 20.5 56. 7 09.9 82.6 78.2 83oi.i 47 48 3i.o 09.0 96.2 9 3.6 6702.5 24.3 60.8 i4-3 87.3 83.4 06.7 48 49 33.9 12. 1 99.4 97.0 06.1 28.1 64-9 18.6 92.1 88.5 12.4 49 5o 5 9 36.8 6n5.i 63o2.6 65oo.4 6709.7 6931.9 7169.0 7423.0 7696.8 7993.7 83i8.i 5o j 5i 39.7 18.2 o5.8 o3.8 13.2 35.7 73.i 27.4 7701.5 98.9 23.8 5i 52 42.6 21.2 09.1 07.2 16.8 93.6 77.2 3i.8 o6.3 8oo4-o 2 9 -4 b-2 1 53 45.5 24.3 12.3 10.6 20.4 43.4 81.2 36.2 ii.i 09.2 35.i 53 ' 54 48.4 27.3 i5.5 14.0 24.0 47.2 85.3 4o.6 i5.8 i4.4 4o.8 54 j 55 5i.3 3o.4 18.7 17.4 27.7 5i.i 89.5 45.i 20.6 19.6 46.5 55 | 56 54.2 33.4 21.9 20.8 3i.3 54.9 93.6 49.5 2 5.4 24.8 52.2 56 ! 5 7 57.2 36.5 25.1 24.2 34.9 58.8 97-7 53.9 30.2 3o.o 58.o 5 7 ; 58 60.1 3 9 .6 28.4 27.6 38.5 62.6 7201.8 58.3 35.o 35.2 63. 7 58 5 9 63.o 42.6 3i.6 3i.o 42.1 66.5 o5.6 62.8 39.8 4o.5 69.4 5 9 j Corrections to Middle Latitude. 141' Kid. Lat. DIFFERENCE OF LATITUDE. 1 2 3 3 1 5 6 7 8 9 10 11 12 13 14 15 16 17 c 18 19 20 o i5 / 1 / 2 / 3 5 7 9 12 i5 18 122 26 -t 3i 36 4i 47 / 52 5 9 65 72 16 1 2 3 4 6 9 11 i4 18I21 25 3o 34 3 9 44 5o 56 62 69 7 1 2 3 4 6 8 1 1 i4 17 20 24 28 33 38 43 48 54 60 66 18 1 3 4 6 8 10 i3 16 20 23 27 32 36 4i 46 52 58 64 J 9 1 3 4 6 8 10 i3 16 '9 22 26 3o 35 4o 45 5o 56 61 20 1 2 1 4 5 7 10 12 i5 18 22 25 29 34 38 43 48 54 60 21 1 2 4 5 7 9 12 i5 18 21 25 29 33 37 42 47 52 58 22 1 2 4 5 7 9 12 i4 17 21 24 28 32 36 4i 46 5i 56 23 1 2 3 5 7 9 1 1 i4 *7 20 23 27 3i 35 4o 45 5o 55 24 1 2 3 5 7 9 1 1 i4 16 20 23 27 3i 35 39 44 49 54 25 -* 2 3 5 7 9 1 1 i3 16 J 9 23 26 3o 34 39 43 48 53 26 1 2 3 5 6 8 II i3 16 *9 22 26 3o 34 38 42 47 52 27 1 2 3 5 6 8 II i3 16 1 9 22 25 29 33 37 42 47 52 28 1 2 3 5 6 8 10 i3 16 18 22 25 29 33 37 4i 46 5: 29 1 2 3 5 6 8 10 i3 i5 18 21 25 28 32 37 4i 46 5i 3o 1 2 3 5 6 8 10 i3 i5 18 21 25 28 32 36 4i 45 5o 3i 1 2 3 5 6 8 10 12 i5 18 21 24 28 32 36 4o 45 5o 32 a 2 3 4 6 8 10 12 i5 18 21 24 28 32 36 4o 45 5o 33 2 3 4 6 8 10 12 i5 18 21 24 28 32 36 4o 45 49 34 2 3 4 6 8 10 12 i5 18 21 24 28 32 36 4o 45 49: 35 2 3 4 6 8 10 12 i5 18 21 24 28 9 2 36 4o 45 49 36 2 3 4 6 8 10 1 2 i5 18 21 24 28 32 36 4o 45 49 3? 2 3 4 6 8 10 12 i5 18 21 24 28 32 36 4o 45 49 38 2 3 4 6 8 10 12 i5 18 21 24 28 32 36 4o 45 5o 3 9 2 3 4 6 8 10 12 i5 18 21 24 28 32 36 4o 45 5o 4o 2 3 5 6 8 10 i3 i5 18 21 25 28 32 36 4i 45 5o 4i 2 3 5 6 8 10 i3 i5 18 21 25 28 32 37 4i 46 5l; 42 < 2 3 5 6 8 10 i3 i5 18 22 25 29 33 37 4i A6 5n 43 1 <> 2 3 5 6 8 10 i3 16 18 22 25 29 33 37 42 46 52' 44 2 3 5 6 8 10 i3 16 ! 9 22 25 29 33 38 42 47 52 45 2 3 5 6 8 i3 16 x 9 22 26 3o 34 38 43 48 53 46 2 3 5 6 8 i3 16 l 9 22 2G 3o 34 38 43 48 53 47 2 3 5 7 9 i3 16 ! 9 23 26 3o 35 39 44 49 54 48 2 ^ 3 5 7 9 i4 ; 17 20 23 27 3i 35 4o 44 5o 55 49 2 3 5 7 9 i4 17 20 23 27 3i 36 4o 45 5o 56 5o 2 4 5 7 9 i4 17 20 24 28 32 36 4i 46 5i 5 7 5i 2 4 5 7 9 12 i4 17 21 24 28 32 37 42 47 52 58 52 2 4 5 7 9 12 i5 18 21 25 29 33 38 43 48 53 5 9 53 2 4 5 7 10 12 i5 18 21 25 29 34 38 43 4 9 54 60 54 2 4 5 7 10 12 i5 18 22 26 3o 34 3 9 44 5o 56 62 55 2 4 6 8 10 i3 16 19 22 26 3i 35 4o 45 5i 5? 63 56 3 4 6 8 10 i3 1 G 1 9 2 3 27 3 1 36 4i 46 52 58 65 57 3 4 6 8 10 i3 iG 20 24 28 32 37 42 48 54 60 66 5d 2 O 4 6 8 1 1 i4 17 20 24 28 33 38 43 4 9 55 61 68 5 9 2 3 4 6 8 1 1 i4 17 21 25 29 34 3 9 45 5o 5? 63 70 60 2 3 4 6 9 1 1 i4 2G 3o 35 4o 46" 52 58 65 72 6! 2 3 5 7 9 12 i5 ,8 22 26 3i 3G 42 47 53 60 67 75 62 2 3 5 7 9 12 i5 l 9 23 27 32 37 43 4 9 55 62 70 77 63 2 3 5 7 10 1 2 16 20 24 28 33 39 44 5i 57 64 72 80 64 2 3 5 7 10 i3 16 20 24 29 34 4o 46 52 5 9 C'7 75 83 05 fi 2 3 5 7 10 1 3 17 21 , 25 3o 36 4i 48 54 62 69 7* 86 66 2 3 5 8 1 1 i4 18 22 ' 26 32 37 43 5o "> 7 64 72 81 90 67 << 2 4 6 8 1 1 i4 iS 23 28 33 3 9 45 67 76 85 9 4 68 2 4 6 8 12 i5 '9 24 29 34 4o 47 r >4 62 7' 1 79 ^ 99 69 2 4 6 9 12 16 20 2 5 j 3o 36 42 49 57 65 74 8 ; 9 j 104 70 2 4 6 9 i3 16 21 26 32 38 44 52 60 68 7* NS 98 ! TO j 71 2 4 7 i<> i3 '7 22 27 33 4o 47 55 63 72 - 9 3 io4 ll6| 72 3 5 7 10 i4 18 23 2 n 15 1 42 49 58 67 98 [Hi ^\ - 150 Logarithms for computing Compound Interest. In computing compound interest for long periods of time, it is necessary to have the following logarithms to more than six places. Number. Logarithm. Number. Logarithm. I .0025 I .oo5o 1 .0075 I .0100 I.OI25 1 .oi5o 1 .0175 1 .0200 1 .0225 1 .o25o 1 .0275 o3oo o325 o35o 0375 o4oo .00108 .00216 .oo324 .00432 .00539 .00646 .00753 .00860 .00966 .01072 .01178 .01283 .01389 .01494 .01598 .01703 438i3 60618 5o548 i3 7 38 5o3i9 60422 44179 01718 33167 38654 i83o5 72247 oo6o3 03498 8io54 33393 1 .o425 1 .o45o 1 .0475 i .o5oo o525 o55o 0575 0600 0625 o65o 1 .0675 1 .0700 1 .0725 1 .0750 1 .0775 1 .0800 .01807 .01911 .020l5 .02118 .02232 . 02325 .02428 ,o253o .02632 .02734 ,02836 .02938 ,o3o39 .o3i4o .o324i .o3342 6o636 62904 4o3i6 92991 2io45 24596 03760 58653 89387 96078 7S837 37777 73009 84643 72788 37j55 NUMBERS OFTEN USED IN CALCULATIONS. Circumference of a circle to diameter 1 ) Surface of a sphere to diameter 1 > = 3.1415926 Area of a circle to radius 1 ) Area of a circle to diameter 1 =r . 7853982 Capacity of a sphere to diameter 1 = .5235988 Capacity of a sphere to radius 1 4-1887902 I~3.i4i5926 = o.3 1 83099 Arc equal to radius expressed in degrees = 57. 2957795 Arc equal to radius expressed in seconds = 206264" 8 Length of 1 degree in parts of radius = .01 74533 Length of 1 minute in parts of radius = . 0002909 Sine of 1 second = .ooooo485 Sine of 2 seconds = .00000970 Sine of 3 seconds = .ooooi454 Sine of 4 seconds = .00001939 Sine of 5 seconds .00002424 Sine of 6 seconds .00002909 Sine of 7 seconds ~ .00003394 Sine of 8 seconds = .00003879 Sine of 9 seconds = .oooo4363 Base of Napier's system of logarithms = 2 .7182818 Modulus of the common logarithms : . = .4342945 36o degrees expressed in seconds s= 1296000 24 hours expressed in seconds 864oo Number of feet in one mile r= 5280 Logarithms. 0.497l5o 9.895090 9.718999 O.622089 9.5o285o 1 .758123 5.3i4425 8.241877 6.463726 4.6B55 7 5 4.986605 5. 162696 5.287635 5.384545 5.463726 5.53o673 5.588665 5.639817 0.434294 9.637784 6.112605 49365i4 3.722634 THE END. 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