1 
 
 UC-NRLF 
 
 B 3 111 7S7 
 
TABLES 
 
 OF 
 
 LOGAKITHMS OF NUMBERS 
 
 AND OF 
 
 SINES AND TANGENTS 
 
 WITH 
 
 A TRAVERSE TABLE 
 
 ETC., ETC. 
 
 i y 
 
 I o 
 
 
 BY 
 
 ELIAS I.OOMIS, LL.D. 
 
 LATE PROFESSOR OF NATURAL PHILOSOPHY AND ASTRONOMY IN YALE COLLEGE 
 AND AUTHOR OF "a COURSE OF MATHEMATICS" 
 
 SEVENTY-SIXTH EDITION 
 
 (FROM NEW PLATES) 
 
 NEW YORK 
 
 HARPER & BROTHERS, FRANKLIN SQUARE 
 
 1894. 
 

 /^f^ I/) ff-^i . c^^ 
 
 l»*^»^' 
 
 ,<Vf-* 
 
 library 
 
 Entered, according to Act of Congress, in tlie year one thousand eight hundred and fort3'-eight, by 
 
 IIakper & Brothers, 
 in the Clerk's Office of the District Court of the Southern District of New York. 
 
 Copyright, 1883, by Harper & Brothers. 
 
 « " » 
 
 • - • • 
 
 'CONTENTS. 
 
 Page 
 
 EXPLANATION OF THE TABLES V 
 
 TABLE OF LOGARITHMS OF NUMBERS 1 
 
 LOGARITHMIC SINES AND TANGENTS . 21 
 
 NATURAL SINES AND TANGENTS 116 
 
 NATURAL SECANTS 134 
 
 LENGTHS OF CIRCULAR ARCS , 135 
 
 TRAVERSE TABLE 136 
 
 MERIDIONAL PARTS 142 
 
 CORRECTIONS TO MIDDLE LATITUDE 149 
 
 LOGARITHMS FOR COMPOUND INTEREST, ETC 150 
 
PREFACE. 
 
 The accompanying tables were designed to afford tlie means of per- 
 forming trigonometrical computations with facility and precision. The 
 tables chiefly nsed 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 tlie natural number, and 
 the labor of computing this correction is such that I always prefer the 
 use of Hntton'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 fiftli 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 the loga- 
 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 
 
 839138 
 
iv Preface. 
 
 sines and tangents. The Traverse Table furnishes the latitude and de- 
 parture to every quarter degree of the quadrant, for distances from 1 
 to 100. 
 
 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 discrejjancies 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 
 found 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 collegi- 
 ate instruction, as well as for practical mechanics and surveyors. • 
 
EXPLANATION OF THE TABLES. 
 
 10 
 
 u 
 
 ii 
 
 100 
 
 u 
 
 (( 
 
 1000 
 
 (( 
 
 (( 
 
 10,000 
 
 (( 
 
 (C 
 
 Table of Logarithms of Ntimbers, pp. 1-20. 
 
 Logarithms are numbers contrived to diminish the Labor of Multipli- 
 cation and Division by substituting in their stead Addition and Sub- 
 traction. All numbers are regarded as powers of some one number, 
 which is called the hase 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: 
 
 10^ = 10, 1 " 
 
 10' = 100, 2 " " 
 
 10^ = 1000, 3 " " 
 
 10^ = 10,000, 4 " " 
 
 &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, i. 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"' = 0.1, — 1 is the logarithm of 0.1 in Briggs' system: 
 
 10-^ = 0.01, —2 " " 0.01 " " 
 
 10-^ = 0.001, —3 " " 0.001 " " 
 
 10-* = 0.0001, —4 " " 0.0001 " " 
 
 &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 a 
 
•vi . ..... , ,^,. Explanation of the Tables. 
 
 . r r 
 
 fraction; 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 loo-arithms of most numbers, therefore, consist of an integer and 
 a fraction. The integral part is called the characteristic, and may be 
 known from the following 
 
 E.ULE. 
 
 The characteristic of the loga7'ithm of a nurriber greater than unity 
 is one less than the nuinber 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 of 
 integral figures. The characteristic of the logarithm of 5673.29 is 3; 
 that of 73254.1 is 4, &c. 
 
 The characteristic of the logarithm of a decimal fraction is a nega- 
 tive 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 .0046 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 6 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 un- 
 der 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 ; 
 " 65 is 1.812913, " " 65. 
 
 To find the Logarithm of any Number consisting of three Figures. 
 
 Look on one of the pages from 2 to 20, along the left-hand column 
 marked IST, 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 
 istic 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 the 
 loo;arithm of 339 is .530200. The first two figures of the decimal re- 
 main 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 column marked N as before, 
 
Explanation of the Tables. vii 
 
 and tlie fourth figure at the head of one of the other cohimns. Opposite 
 to the first three figures, and in the cohinin under the fourth figure, will 
 be 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 3456 is 3.53S574 ; 
 " " 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 helow. 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 
 tahular difference,\% 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- 
 ed 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, &c. 
 
 If the given number was 72501, the characteristic of its logarithm 
 would be 4, but the decimal part would be the same as for 7250.1. 
 
viii 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 give the proportional parts for each tabular 
 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. 
 Kequired 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. According- 
 ly, when the fraction which is omitted exceeds half a unit in the sixth 
 decimal 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 
 Required the logarithm of 234567. 
 
 The logarithm of 234500 is 
 
 Correction for the fifth figure 6, 
 " " sixth figure 7, 
 
 Therefore the logarithm of 234567 is 
 
 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. 
 
 
 6.942774. 
 
 5.370143 
 
 111 
 
 13 
 
 5.370267. 
 
 
 Examples. 
 
 
 The logarithm of 345.6 
 
 is 2.538574 
 
 u u 
 
 87.65 
 
 is 1.942752 
 
 u u 
 
 2.345 
 
 is 0.370143 
 
 (( a 
 
 .1234 
 
 is 1.091315 
 
 u u 
 
 .005678 
 
 is 3.754195 
 
Explanation of the Tables. 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. 
 Eequired the logarithm ^, or 0.1875. 
 
 From the logarithm of 3, 0.477121, 
 Subtract the logarithm of 16, 1.201:120. 
 
 Leaves logarithm of y^^, or .1875, 1.273001. 
 
 In the same manner we find 
 
 the logarithm of ^ is 2.861697 ; 
 " " iff is 1.147401. 
 
 To find the natural Nuwher corresponding to any Logarithm. 
 
 Look in the table in the column headed for the first two fio^ures 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 given 
 logarithm by pointing off decimals or annexing ciphers. Thus 
 
 the natural number belonging to the logaritlim 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 
 may be obtained by means of the Proportional Parts at the bottom of 
 the page. 
 
 Required the number belonging to the logarithm 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 Propor- 
 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. 
 
Explanation of the Tables. 
 
 The first four figures of the natural number are 2216. 
 With the tabular difference 196, the fifth figure corresponding to 108 
 is seen to 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 ; 
 u " " 1.991:605 is 98.7654; 
 
 « « « 1.647817 is .444444. 
 
 Table of Natural Sines and Tangents, pp. 116-133. 
 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 unit}^, 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 
 leadino- figures are repeated at intervals of ten 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 ; 
 " " 84° 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. 
 Kequired the sine of 8° 9' 10". 
 
 The sine of 8° 9' is .141765. 
 By referring to the bottom of page 166, 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 tlie 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 than 
 radius, and consist wholly of decimals. For arcs above 45°, the tan- 
 o-ents are all greater than radius and contain both integral and decimal 
 
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 .630784 ; 
 
 " 74° 35' 55" is 3.63014. 
 
 To find the Number of Degrees, Minutes, and Seconds helonglng to a 
 
 given Sine or Tangent. 
 
 If the given sign 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 ; tlie quotient will be the required number of seconds. 
 
 Required the arc whose sine is .750000, 
 
 The next less sine in tlie 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"^ 
 35' 25". 
 
 In the same manner we find 
 
 the arc whose tangent is 2.000000, to be 63° 26' 6". 
 
 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 vertical 
 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. 
 
 to 
 
 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 
 fio-ures 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 bj dots, as in the former table. The correction for 
 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. 
 
 Kequired the logarithmic sine of 2-i° 27' 3-i''. 
 
 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. To obviate this inconvenience, tlie char- 
 acteristics in the table have all been increased by 10 ; or the logarith- 
 mic sines may be regarded as the logarithms of natural sines comjDuted 
 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 of 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 first two degrees, the differences change so rapidly 
 
Explanation of the Tables. xiii 
 
 that the proportional part for 1" is given for each minute in the right- 
 hand cohimn 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. 
 
 Eequired 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 for 
 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 
 between the logarithmic sines and the logarithms of the arcs ex- 
 pressed in seconds. Thus 
 
 the logarithmic sine of 0° 5' is 7.162696 ; 
 the logarithm of 300" ( = 5') is 2.477121 ; 
 
 the difference is 4.685575. 
 
 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 
 in seconds to the appropriate number found in this table. 
 Eequired the logarithmic sine of 0° 7' 22". 
 
 Tabular number from page 114, 4.685575. 
 The logarithm of 442" is 2.645422. 
 
 Logarithmic sine of 0° 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 0° 27' 36''. 
 
 Tabular number from page 114, 4.685584. 
 The logarithm of 1656" fs 3.219060. 
 
 Logarithmic tangent of 0° 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 nun;iber the los^arithm of the arc in 
 seconds. 
 
 Required the logarithmic cotangent of 0° 27' 36". 
 
 Tabular number from page 114, 15.314416. 
 
 The logarithm of 1656" is 3.219060. 
 
 Logarithmic cotangent of 0° 27' 36" is 12.095356. 
 The same method will, of course, furnish cosines and cotangents of 
 arcs near 90°. 
 
 The secants and cosecants are omitted in this table, since they are 
 easily derived from the cosines and sines. 
 
 The logaritliniic secant is found hy subtracting the logarithmic 
 cosine from 20; and the logarithmic cosecant is found hy suhtracting 
 the logarithmic sine from 20. 
 
 Thus we have found the logarithmic sine of 24° 27' 34" to be 9.617051. 
 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 to which is 34° 13' 0". 
 
 The difference between its sign 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 tlie arc corresponding to logaritlimic tan- 
 gent 10.250000, to be 60° 38' 51". 
 
 AVhen 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 
 thus find the arc corresponding to logarithmic sine 8.400000, to be 1" 
 2G' 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 
 tangent 8.184608, to be 0° 52' 35". 
 
 Table foe the Lengths of Cieculak Aecs, p. 135. 
 
 This table contains the lengths of every single degree up to 60, and 
 at intervals of ten 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' 44.' 8. 
 Take out from their respective columns the lengths answering to 
 each of these numbers singly, and add them all together 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. 
 
 Teaveese Table, pp. 136-195. 
 
 This table shows the difference of latitude and the departure to two 
 decimal places for distances from 1 to 100, and for bearings from 0° to 
 90°, at intervals of 15'. If the bearing is less than 45°, the angle will 
 be found at the top of one of the pages of the table, and the distance 
 on the left and right of the page ; tlie difference of latitude will be 
 
xvi Explanation of the Tables. 
 
 found in the column headed lat. at the top of the page, and the depart- 
 ure in the column headed dep. If the bearing is more than 45°, the 
 angle will be found at the bottom of the page, and the difference of 
 latitude will be found in the column marked lat. at the bottom of the 
 page, and the dej)arture in the other column. The latitudes and de- 
 partures for different distances with the same bearing are proportional 
 to the distances. Therefore the distances may be reckoned as tens, 
 hundreds, or thousands, if the place of the decimal point in each de- 
 parture and difference of latitude be changed accordingly. 
 
 1. Required the latitude and departure for the distance 32.25, and 
 the bearing 10° 30'. 
 
 On page 148, under 10° 30', we find following latitudes and depart- 
 ures, proper attention being paid to the position of the decimal points. 
 Distance. Biff. Lat. Dep. 
 
 32.00 31.46 5.83 
 
 .25 .25 .05 
 
 32.25 31.71 5.88 
 
 2. Required the latitude and departure for the distance Y654 and 
 the bearing 65° 45'. 
 
 Distance. Diff. Lat. Dcp. 
 
 7600 3121.00 6929.00 
 
 54 22.18 49.24 
 
 7654 3143.18 6978.24 
 
 Table of Mekidional Paets, pp. 196-202. 
 
 This table gives the length of the enlarged meridian on Mercator's 
 Chart to every minute of latitude ex]Dressed in geograjjhical miles and 
 tentlis 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- 
 ional parts corresponding to any latitude less than 80°. Thus 
 the meridional parts for latitude 12° 23' are 748.9 ; 
 " a u 57° 42' are 4260.5. 
 
 Table of Coeeections to Middle Latitude, p. 203. 
 
 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° 25'. 
 
A TABLE 
 
 
 LOGARITHMS 
 
 OF NUMBERS 
 
 FEOM 1 
 
 TO 10,000. 
 
 
 N. 
 
 Log. 
 
 N. 
 
 Log. 
 
 N. 
 
 Log. 
 
 N. 
 
 Log. 
 
 I 
 
 0.000000 
 
 26 
 
 I. 414973 
 
 5i 
 
 I .707670 
 
 76 
 
 I. 880814 
 
 2 
 
 o.3oio3o 
 
 27 
 
 i.43i364 
 
 52 
 
 I .716003 
 
 77 
 
 I. 886491 
 
 3 
 
 0.477121 
 
 28 
 
 1.447168 
 
 63 
 
 I .724276 
 
 78 
 
 I .892096 
 
 4 
 
 0.602060 
 
 29 
 
 1.462398 
 
 64 
 
 1.732394 
 
 79 
 
 I .897627 
 
 5 
 
 0.698970 
 
 3o 
 
 I .477121 
 
 55 
 
 i.74o363 
 
 80 
 
 I .903090 
 
 6 
 
 0.778161 
 
 3i 
 
 I .491362 
 
 56 
 
 I. 748188 
 
 81 
 
 1.908486 
 
 7 
 
 0.845098 
 
 32 
 
 I .5o5i5o 
 
 57 
 
 1.766876 
 
 82 
 
 1.913814 
 
 8 
 
 0.903090 
 
 33 
 
 i.5i85i4 
 
 68 
 
 1.763428 
 
 83 
 
 I .919078 
 
 9 
 
 0.954243 
 
 34 
 
 I .53i479 
 
 69 
 
 I .770862 
 
 84 
 
 1 .924279 
 
 lO 
 
 I .000000 
 
 35 
 
 1.544068 
 
 60 
 
 I .778161 
 
 85 
 
 I. 929419 
 
 II 
 
 I .041393 
 
 36 
 
 i.5563o3 
 
 61 
 
 1.785330 
 
 86 
 
 1.934498 
 
 12 
 
 I. 079181 
 
 37 
 
 I .568202 
 
 62 
 
 I .792392 
 
 87 
 
 I .939619 
 
 i3 
 
 1.113943 
 
 38 
 
 1.579784 
 
 63 
 
 I. 799341 
 
 88 
 
 1.944483 
 
 i4 
 
 I .146128 
 
 39 
 
 I .691065 
 
 64 
 
 I. 806180 
 
 89 
 
 I .949390 
 
 i5 
 
 I . 176091 
 
 4o 
 
 I .602060 
 
 65 
 
 1.812913 
 
 90 
 
 1.964243 
 
 i6 
 
 I .204l20 
 
 4i 
 
 I .612784 
 
 66 
 
 I. 819644 
 
 91 
 
 I .969041 
 
 I? 
 
 I .23o449 
 
 42 
 
 I .623249 
 
 67 
 
 1.826075 
 
 92 
 
 1.963788 
 
 i8 
 
 1.255273 
 
 43 
 
 1.633468 
 
 68 
 
 1.832609 
 
 93 
 
 1.968483 
 
 19 
 
 1.278754 
 
 44 
 
 1.643453 
 
 69 
 
 1.838849 
 
 94 
 
 I .973128 
 
 20 
 
 I .3oio3o 
 
 45 
 
 I. 653213 
 
 70 
 
 I 846098 
 
 96 
 
 1.977724 
 
 21 
 
 I .322219 
 
 46 
 
 1,662768 
 
 71 
 
 1.861268 
 
 96 
 
 I .982271 
 
 22 
 
 1.342423 
 
 47 
 
 I .672098 
 
 72 
 
 1.867332 
 
 97 
 
 I .986772 
 
 23 
 
 I. 361728 
 
 48 
 
 I .681241 
 
 73 
 
 1.863323 
 
 98 
 
 I .991226 
 
 24 
 
 I .380211 
 
 49 
 
 I .690196 
 
 74 
 
 1.869232 
 
 99 
 
 I .996635 
 
 25 
 
 1.397940 
 
 5o 
 
 I .698970 
 
 75 
 
 1.876061 
 
 100 
 
 2.000000 
 
 N.B. In the following table, the t 
 
 wo leading figures 1 
 
 n the first column 
 
 of logarithms are to be prefixed to a 
 
 11 the numbers of t 
 
 le same horizontal 
 
 line in the next nine columns ; but 
 
 when a point (.) occ 
 
 .urs, its place is to 
 
 be supplied by a cipher, and the twc 
 
 ) leading figures are 
 
 to be taken from 
 
 the next lower line. 
 
 
 
Logarithms of Numbers. 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 6 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 lOO 
 
 000000 
 
 0434 
 
 0868 
 
 i3oi 
 
 1734 
 
 2166 
 
 2598 
 
 3029 
 
 3461 
 
 3891 
 
 432 
 
 lOI 
 
 4321 
 
 4751 
 
 5i8i 
 
 5609 
 
 6o38 
 
 6466 
 
 6894 
 
 7321 
 
 7748 
 
 8174 
 
 428 
 
 102 
 
 8600 
 
 9026 
 
 9451 
 
 9876 
 
 .3oo 
 
 ,724 
 
 1147 
 
 1570 
 
 1993 
 
 24l5 
 
 424 
 
 io3 
 
 012837 
 
 3259 
 
 368o 
 
 4 1 00 
 
 4521 
 
 4940 
 
 536o 
 
 5779 
 
 6197 
 
 6616 
 
 419 
 
 io4 
 
 7033 
 
 745i 
 
 7868 
 
 8284 
 
 8700 
 
 91 16 
 
 9532 
 
 9947 
 
 .36i 
 
 .775 
 
 4i6 
 
 io5 
 
 021189 
 
 i6o3 
 
 2016 
 
 2428 
 
 284l 
 
 3252 
 
 3664 
 
 4075 
 
 4486 
 
 4896 
 
 4l2 
 
 1 06 
 
 53o6 
 
 5715 
 
 6125 
 
 6533 
 
 6942 
 
 7350 
 
 7757 
 
 8i64 
 
 8571 
 
 8978 
 
 4o8 
 
 107 
 
 9384 
 
 9789 
 
 .195 
 
 .600 
 
 ioo4 
 
 i4o8 
 
 1812 
 
 2216 
 
 2619 
 
 302I 
 
 4o4 
 
 108 
 
 033424 
 
 3826 
 
 4227 
 
 4628 
 
 5029 
 
 543o 
 
 583o 
 
 623o 
 
 6629 
 
 7028 
 
 4oo 
 
 109 
 
 7426 
 
 7825 
 
 8223 
 
 8620 
 
 9017 
 
 94i4 
 
 9811 
 
 .207 
 
 .602 
 
 .998 
 
 396 
 
 no 
 
 041393 
 
 1787 
 
 2182 
 
 2576 
 
 2969 
 
 3362 
 
 3755 
 
 4i48 
 
 4540 
 
 4932 
 
 393 
 
 III 
 
 5323 
 
 5714 
 
 6io5 
 
 6495 
 
 6885 
 
 7275 
 
 7664 
 
 8o53 
 
 8442 
 
 883o 
 
 389 
 
 112 
 
 9218 
 
 9606 
 
 9993 
 
 .38o 
 
 .766 
 
 ii53 
 
 i538 
 
 1924 
 
 2309 
 
 2694 
 
 386 
 
 ii3 
 
 053078 
 
 3463 
 
 3846 
 
 423o 
 
 46i3 
 
 4996 
 
 5378 
 
 5760 
 
 6142 
 
 6524 
 
 382 
 
 ii4 
 
 6905 
 
 7286 
 
 7666 
 
 8o46 
 
 8426 
 
 88o5 
 
 9185 
 
 9563 
 
 9942 
 
 .320 
 
 379 
 
 ii5 
 
 060698 
 
 1075 
 
 l452 
 
 1829 
 
 2206 
 
 2582 
 
 2958 
 
 3333 
 
 3709 
 
 4o83 
 
 376 
 
 116 
 
 4458 
 
 4832 
 
 5206 
 
 558o 
 
 5953 
 
 6326 
 
 6699 
 
 7071 
 
 7443 
 
 7815 
 
 373 
 
 117 
 
 8186 
 
 8557 
 
 8928 
 
 9298 
 
 9668 
 
 ..38 
 
 .407 
 
 .776 
 
 1145 
 
 i5i4 
 
 369 
 
 118 
 
 071882 
 
 225o 
 
 2617 
 
 2985 
 
 3352 
 
 3718 
 
 4o85 
 
 445i 
 
 48i6 
 
 5182 
 
 366 
 
 119 
 
 5547 
 
 5912 
 
 6276 
 
 664o 
 
 7004 
 
 7368 
 
 7731 
 
 8094 
 
 8457 
 
 8819 
 
 363 
 
 120 
 
 9181 
 
 9543 
 
 9904 
 
 .266 
 
 .626 
 
 .987 
 
 i347 
 
 1707 
 
 2067 
 
 2426 
 
 36o 
 
 121 1 082785 
 
 3i44 
 
 35o3 
 
 386i 
 
 4219 
 
 4576 
 
 4934 
 
 5291 
 
 5647 
 
 6004 357 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 D. 
 
 
 '434 
 
 r 43 
 
 87 
 
 i3o 
 
 174 
 
 217 
 
 260 
 
 3o4 
 
 347 
 
 391 
 
 
 
 432 
 
 43 
 
 86 
 
 i3o 
 
 173 
 
 216 
 
 259 
 
 302 
 
 346 
 
 389 
 
 
 
 43o 
 
 43 
 
 86 
 
 129 
 
 172 
 
 2l5 
 
 258 
 
 3oi 
 
 344 
 
 387 
 
 
 
 428 
 
 43 
 
 86 
 
 128 
 
 171 
 
 2l4 
 
 257 
 
 3oo 
 
 342 
 
 385 
 
 
 
 426 
 
 43 
 
 85 
 
 128 
 
 170 
 
 2l3 
 
 256 
 
 298 
 
 34 1 
 
 383 
 
 
 
 424 
 
 42 
 
 85 
 
 127 
 
 170 
 
 212 
 
 254 
 
 297 
 
 339 
 
 382 
 
 
 
 422 
 
 42 
 
 84 
 
 127 
 
 169 
 
 211 
 
 253 
 
 295 
 
 338 
 
 38o 
 
 
 
 420 
 
 42 
 
 84 
 
 126 
 
 168 
 
 210 
 
 252 
 
 294 
 
 336 
 
 378 
 
 
 
 4i8 
 
 42 
 
 84 
 
 125 
 
 167 
 
 209 
 
 25l 
 
 293 
 
 334 
 
 376 
 
 
 
 4i6 
 
 42 
 
 83 
 
 125 
 
 166 
 
 208 
 
 25o 
 
 291 
 
 333 
 
 374 
 
 
 
 4i4 
 
 4i 
 
 83 
 
 124 
 
 166 
 
 207 
 
 248 
 
 290 
 
 33i 
 
 373 
 
 
 
 4l2 
 
 4i 
 
 82 
 
 124 
 
 i65 
 
 206 
 
 247 
 
 288 
 
 33o 
 
 371 
 
 
 
 4io 
 
 4i 
 
 82 
 
 123 
 
 164 
 
 2o5 
 
 246 
 
 287 
 
 328 
 
 369 
 
 
 
 4o8 
 
 4i 
 
 82 
 
 122 
 
 i63 
 
 204 
 
 245 
 
 286 
 
 326 
 
 367 
 
 
 
 4o6 
 
 4i 
 
 81 
 
 122 
 
 162 
 
 2o3 
 
 244 
 
 284 
 
 325 
 
 365 
 
 
 
 4o4 ro 
 
 4o 
 
 8i 
 
 121 
 
 162 
 
 202 
 
 242 
 
 283 
 
 323 
 
 364 
 
 
 
 402 ^ 
 
 4o 
 
 80 
 
 121 
 
 161 
 
 201 
 
 24l 
 
 281 
 
 322 
 
 362 
 
 
 CD 
 
 4oo Ph 
 
 4o 
 
 80 
 
 120 
 
 160 
 
 200 
 
 24o 
 
 280 
 
 320 
 
 36o 
 
 
 
 
 a 
 
 398 -3 
 
 40 
 
 80 
 
 119 
 
 159 
 
 199 
 
 239 
 
 279 
 
 3i8 
 
 358 
 
 
 
 396 1 < 
 
 4o 
 
 79 
 
 119 
 
 i58 
 
 198 
 
 238 
 
 277 
 
 317 
 
 356 
 
 
 394 1 
 
 39 
 
 79 
 
 118 
 
 i58 
 
 197 
 
 236 
 
 276 
 
 3i5 
 
 355 
 
 
 
 392 g^ 
 
 39 
 
 78 
 
 118 
 
 157 
 
 196 
 
 235 
 
 274 
 
 3i4 
 
 353 
 
 
 
 390 ^ 
 
 39 
 
 78 
 
 117 
 
 i56 
 
 195 
 
 234 
 
 273 
 
 3l2 
 
 35i 
 
 
 
 388 
 
 39 
 
 78 
 
 116 
 
 i55 
 
 194 
 
 233 
 
 272 
 
 3io 
 
 349 
 
 
 
 386 
 
 39 
 
 77 
 
 116 
 
 i54 
 
 193 
 
 232 
 
 270 
 
 • 809 
 
 347 
 
 
 
 384 
 
 38 
 
 77 
 
 ii5 
 
 i54 
 
 192 
 
 23o 
 
 269 
 
 307 
 
 346 
 
 
 
 382 
 
 38 
 
 76 
 
 ii5 
 
 i53 
 
 191 
 
 229 
 
 267 
 
 3o6 
 
 344 
 
 
 
 38o 
 
 38 
 
 76 
 
 ii4 
 
 l52 
 
 190 
 
 228 
 
 266 
 
 3o4 
 
 342 
 
 
 
 378 
 
 38 
 
 76 
 
 ii3 
 
 i5i 
 
 189 
 
 227 
 
 265 
 
 3o2 
 
 340 
 
 
 
 376 
 
 38 
 
 75 
 
 ii3 
 
 i5o 
 
 188 
 
 226 
 
 263 
 
 3oi 
 
 338 
 
 
 
 374 
 
 37 
 
 75 
 
 112 
 
 i5o 
 
 187 
 
 224 
 
 262 
 
 299 
 
 337 
 
 
 
 372 
 
 37 
 
 74 
 
 112 
 
 149 
 
 186 
 
 223 
 
 260 
 
 298 
 
 335 
 
 
 
 370 
 
 37 
 
 74 
 
 III 
 
 i48 
 
 i85 
 
 222 
 
 259 
 
 296 
 
 333 
 
 
 
 368 
 
 37 
 
 74 
 
 no 
 
 147 
 
 1 84 
 
 221 
 
 258 
 
 294 
 
 33i 
 
 
 
 366 
 
 37 
 
 73 
 
 no 
 
 i46 
 
 i83 
 
 220 
 
 256 
 
 293 
 
 329 
 
 
 
 364 
 
 36 
 
 73 
 
 109 
 
 i46 
 
 182 
 
 218 
 
 255 
 
 291 
 
 328 
 
 
 
 362 
 
 36 
 
 72 
 
 109 
 
 145 
 
 181 
 
 217 
 
 253 
 
 290 
 
 326 
 
 
 
 36o 
 
 36 
 
 72 
 
 108 
 
 1 44 
 
 180 
 
 216 
 
 252 
 
 288 
 
 324 
 
 

 
 
 Logarithms 
 
 OF N 
 
 UMBERS. 
 
 
 
 3 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 122 
 
 o8636o 
 
 6716 
 
 7071 
 
 7426 
 
 7781 
 
 8i36 
 
 8490 
 
 8845 
 
 9198 
 
 9662 
 
 355 
 
 123 
 
 9905 
 
 .258 
 
 .611 
 
 .963 
 
 i3i5 
 
 1667 
 
 2018 
 
 2370 
 
 2721 
 
 3071 
 
 35i 
 
 124 
 
 093422 
 
 3772 
 
 4l22 
 
 4471 
 
 4820 
 
 6169 
 
 55i8 
 
 5866 
 
 6215 
 
 6562 
 
 349 
 
 125 
 
 6910 
 
 7257 
 
 7604 
 
 795i 
 
 8298 
 
 8644 
 
 8990 
 
 9335 
 
 9681 
 
 ..26 
 
 346 
 
 126 
 
 100371 
 
 0715 
 
 1059 
 
 i4o3 
 
 1747 
 
 2091 
 
 2434 
 
 2777 
 
 3i 19 
 
 3462 
 
 343 
 
 127 
 
 38o4 
 
 4i46 
 
 4487 
 
 4828 
 
 5169 
 
 55io 
 
 585i 
 
 6191 
 
 653i 
 
 6871 
 
 341 
 
 128 
 
 7210 
 
 7549 
 
 7888 
 
 8227 
 
 8565 
 
 8903 
 
 9241 
 
 9579 
 
 9916 
 
 .253 
 
 338 
 
 129 
 
 1 10690 
 
 0926 
 
 1263 
 
 1599 
 
 1934 
 
 2270 
 
 26o5 
 
 2940 
 
 3275 
 
 3609 
 
 335 
 
 i3o 
 
 3943 
 
 4277 
 
 46ii 
 
 4944 
 
 5278 
 
 56ii 
 
 5943 
 
 6276 
 
 6608 
 
 6940 
 
 333 
 
 i3i 
 
 7271 
 
 7603 
 
 7934 
 
 8265 
 
 8595 
 
 8926 
 
 9256 
 
 9586 
 
 9915 
 
 .245 
 
 33o 
 
 l32 
 
 120574 
 
 0903 
 
 I23l 
 
 i56o 
 
 1888 
 
 2216 
 
 2544 
 
 2871 
 
 3198 
 
 3525 
 
 328 
 
 i33 
 
 3852 
 
 4178 
 
 45o4 
 
 483o 
 
 5i56 
 
 5481 
 
 58o6 
 
 6i3i 
 
 6456 
 
 6781 
 
 325 
 
 1 34 
 
 7105 
 
 7429 
 
 7753 
 
 8076 
 
 8399 
 
 8722 
 
 9045 
 
 9368 
 
 9690 
 
 . . 12 
 
 323 
 
 i35 
 
 i3o334 
 
 o655 
 
 0977 
 
 1298 
 
 1619 
 
 1939 
 
 2260 
 
 258o 
 
 2900 
 
 3219 
 
 321 
 
 i36 
 
 3539 
 
 3858 
 
 4177 
 
 4496 
 
 48i4 
 
 5i33 
 
 545i 
 
 5769 
 
 6086 
 
 64o3 
 
 3i8 
 
 137 
 
 6721 
 
 7037 
 
 7354 
 
 7671 
 
 7987 
 
 83o3 
 
 8618 
 
 8934 
 
 9249 
 
 9564 
 
 3i5 
 
 i38 
 
 9879 
 
 .194 
 
 .5o8 
 
 .822 
 
 ii36 
 
 i45o 
 
 1763 
 
 2076 
 
 2389 
 
 2702 
 
 3i4 
 
 139 
 
 i43oi5 
 
 3327 
 
 3639 
 
 3951 
 
 4263 
 
 4574 
 
 4885 
 
 5196 
 
 5507 
 
 58i8 
 
 3ii 
 
 i4o 
 
 6128 
 
 6438 
 
 6748 
 
 7o58 
 
 7367 
 
 7676 
 
 7985 
 
 8294 
 
 86o3 
 
 8911 
 
 309 
 
 i4i 
 
 9219 
 
 9527 
 
 9835 
 
 . 142 
 
 .449 
 
 .756 
 
 io63 
 
 1370 
 
 1676 
 
 1982 
 
 307 
 
 142 
 
 152288 
 
 2594 
 
 2900 
 
 32o5 
 
 35io 
 
 38i5 
 
 4l20 
 
 4424 
 
 4728 
 
 5o32 
 
 3o5 
 
 143 
 
 5336 
 
 564o 
 
 5943 
 
 6246 
 
 6549 
 
 6852 
 
 7i54 
 
 7457 
 
 7759 
 
 8061 
 
 3o3 
 
 i44 
 
 8362 
 
 8664 
 
 8965 
 
 9266 
 
 9667 
 
 9868 
 
 .168 
 
 .469 
 
 .769 
 
 1068 
 
 3oi 
 
 i45 
 
 i6i368 
 
 1667 
 
 1967 
 
 2266 
 
 2564 
 
 2863 
 
 3i6i 
 
 3460 
 
 3758 
 
 4o55 
 
 299 
 
 i46 
 
 4353 
 
 465o 
 
 4947 
 
 5244 
 
 5541 
 
 5838 
 
 6i34 
 
 643o 
 
 6726 
 
 7022 
 
 297 
 
 147 
 
 7317 
 
 7613 
 
 7908 
 
 8203 
 
 8497 
 
 8792 
 
 9086 
 
 9380 
 
 9674 
 
 9968 
 
 295 
 
 i48 
 
 170262 
 
 o555 
 
 o848 
 
 I i4i 
 
 1434 
 
 1726 
 
 2019 
 
 23ll 
 
 2603 
 
 2895 
 
 293 
 
 K 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 
 '358 
 
 r 36 
 
 72 
 
 107 
 
 143 
 
 179 
 
 2l5 
 
 25l 
 
 286 
 
 322 
 
 
 
 356 
 
 36 
 
 71 
 
 107 
 
 142 
 
 178 
 
 2l4 
 
 249 
 
 285 
 
 320 
 
 
 
 354 
 
 35 
 
 71 
 
 106 
 
 142 
 
 177 
 
 212 
 
 248 
 
 283 
 
 319 
 
 
 
 352 
 
 35 
 
 70 
 
 106 
 
 i4i 
 
 176 
 
 21 I 
 
 246 
 
 282 
 
 3i7 
 
 
 
 35o 
 
 35 
 
 70 
 
 io5 
 
 i4o 
 
 175 
 
 210 
 
 245 
 
 280 
 
 3i5 
 
 
 
 348 
 
 35 
 
 70 
 
 io4 
 
 139 
 
 174 
 
 209 
 
 244 
 
 278 
 
 3i3 
 
 
 
 346 
 
 35 
 
 69 
 
 io4 
 
 i38 
 
 173 
 
 208 
 
 242 
 
 277 
 
 3ii 
 
 
 
 344 
 
 34 
 
 69 
 
 io3 
 
 i38 
 
 172 
 
 206 
 
 24 1 
 
 275 
 
 3io 
 
 
 
 342 
 
 34 
 
 68 
 
 io3 
 
 137 
 
 171 
 
 2o5 
 
 239 
 
 274 
 
 3o8 
 
 
 
 340 
 
 34 
 
 68 
 
 102 
 
 i36 
 
 170 
 
 204 
 
 238 
 
 272 
 
 3o6 
 
 
 
 338 
 
 34 
 
 68 
 
 lOI 
 
 t35 
 
 169 
 
 2o3 
 
 237 
 
 270 
 
 3o4 
 
 
 
 336 
 
 34 
 
 67 
 
 lOI 
 
 i34 
 
 168 
 
 202 
 
 235 
 
 269 
 
 302 
 
 
 
 334 . 
 
 33 
 
 67 
 
 100 
 
 i34 
 
 167 
 
 200 
 
 234 
 
 267 
 
 3oi 
 
 
 
 332 t. 
 
 33 
 
 66 
 
 100 
 
 i33 
 
 166 
 
 199 
 
 232 
 
 266 
 
 299 
 
 
 CO 
 
 33o ^ 
 
 33 
 
 66 
 
 99 
 
 l32 
 
 i65 
 
 198 
 
 23l 
 
 264 
 
 297 
 
 
 0) 
 
 
 
 328 ^ 
 
 33 
 
 66 
 
 98 
 
 i3i 
 
 1 64 
 
 197 
 
 23o 
 
 262 
 
 295 
 
 
 £ ■ 
 
 326 . 
 
 33 
 
 65 
 
 98 
 
 i3o 
 
 i63 
 
 196 
 
 228 
 
 261 
 
 293 
 
 
 ^ 
 
 324 '-g 
 
 32 
 
 65 
 
 97 
 
 i3o 
 
 162 
 
 194 
 
 227 
 
 269 
 
 292 
 
 
 5 
 
 322 ° 
 
 32 
 
 64 
 
 97 
 
 129 
 
 161 
 
 193 
 
 225 
 
 258 
 
 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 
 
 i58 
 
 190 
 
 221 
 
 253 
 
 284 
 
 
 
 3i4 
 
 3i 
 
 63 
 
 94 
 
 126 
 
 157 
 
 188 
 
 220 
 
 25l 
 
 283 
 
 
 
 3l2 
 
 3i 
 
 62 
 
 94 
 
 125 
 
 1 56 
 
 187 
 
 218 
 
 25© 
 
 281 
 
 
 
 31 
 
 3i 
 
 62 
 
 93 
 
 124 
 
 i55 
 
 186 
 
 217 
 
 248 
 
 279 
 
 
 
 3o8 
 
 3i 
 
 62 
 
 92 
 
 123 
 
 1 54 
 
 i85 
 
 216 
 
 246 
 
 277 
 
 
 
 3o6 
 
 3i 
 
 61 
 
 92 
 
 122 
 
 i53 
 
 1 84 
 
 2l4 
 
 245 
 
 275 
 
 
 
 3o4 
 
 3o 
 
 61 
 
 91 
 
 122 
 
 l52 
 
 182 
 
 2l3 
 
 243 
 
 274 
 
 
 
 302 
 
 3o 
 
 60 
 
 91 
 
 121 
 
 i5i 
 
 181 
 
 21 I 
 
 242 
 
 272 
 
 
 
 3oo 
 
 3o 
 
 60 
 
 90 
 
 120 
 
 i5o 
 
 180 
 
 210 
 
 240 
 
 270 
 
 
 
 298 
 
 3o 
 
 60 
 
 89 
 
 119 
 
 149 
 
 179 
 
 209 
 
 238 
 
 268 
 
 
 
 296 
 
 3o 
 
 59 
 
 89 
 
 118 
 
 i48 
 
 178 
 
 207 
 
 237 
 
 266 
 
 
 
 294 
 
 . 29 
 
 59 
 
 88 
 
 118 
 
 147 
 
 176 
 
 206 
 
 235 
 
 265 
 
 
4 
 
 
 Logarithms of N 
 
 [J M B E R S. 
 
 
 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 i49 
 i5o 
 
 173186 
 
 347« 
 
 3769 
 
 4o6o 
 
 435i 
 
 464i 
 
 4932 
 
 5222 
 
 55i2 
 
 58o2 
 
 291 
 
 6001 
 
 638i 
 
 6670 
 
 6959 
 
 7248 
 
 7536 
 
 7825 
 
 8ii3 
 
 8401 
 
 8689 
 
 289 
 
 i5i 
 
 8977 
 
 9264 
 
 9552 
 
 9839 
 
 . 126 
 
 .4i3 
 
 .699 
 
 .986 
 
 1272 
 
 i558 
 
 287 
 
 l52 
 
 181844 
 
 2129 
 
 24i5 
 
 2700 
 
 2985 
 
 3270 
 
 3555 
 
 3839 
 
 4l23 
 
 4407 
 
 285 
 
 i53 
 
 4691 
 
 4975 
 
 5259 
 
 5542 
 
 5825 
 
 6108 
 
 6391 
 
 6674 
 
 6956 
 
 7239 
 
 283 
 
 i54 
 
 7521 
 
 7803 
 
 8084 
 
 8366 
 
 8647 
 
 8928 
 
 9209 
 
 9490 
 
 9771 
 
 ..5i 
 
 281 
 
 i55 
 
 190332 
 
 3i25 
 
 0612 
 
 0892 
 
 1171 
 
 i45i 
 
 1730 
 
 2010 
 
 2289 
 
 2567 
 
 2846 
 
 279 
 
 i56 
 
 34o3 
 
 368i 
 
 3959 
 
 4237 
 
 45i4 
 
 4792 
 
 5069 
 
 5346 
 
 5623 
 
 278 
 
 i57 
 
 6900 
 
 6176 
 
 6453 
 
 6729 
 
 7005 
 
 7281 
 
 7556 
 
 7832 
 
 8107 
 
 8382 
 
 276 
 
 1 58 
 
 8657 
 
 8932 
 
 9206 
 
 9481 
 
 9755 
 
 ..29 
 
 .3o3 
 
 .577 
 
 .85o 
 
 1124 
 
 274 
 
 i59 
 
 201397 
 
 1670 
 
 1943 
 
 2216 
 
 2488 
 
 2761 
 
 3o33 
 
 33o5 
 
 3577 
 
 3848 
 
 272 
 
 i6o 
 
 4l20 
 
 4391 
 
 4663 
 
 4934 
 
 52o4 
 
 5475 
 
 5746 
 
 6016 
 
 6286 
 
 6556 
 
 271 
 
 i6i 
 
 6826 
 
 7096 
 
 7365 
 
 7634 
 
 7904 
 
 8173 
 
 844i 
 
 8710 
 
 8979 
 
 9247 269 1 
 
 162 
 
 95i5 
 
 9783 
 
 ..5i 
 
 .319 
 
 .586 
 
 .853 
 
 1 121 
 
 1 388 
 
 i654 
 
 1921 
 
 267 
 
 i63 
 
 212188 
 
 2454 
 
 2720 
 
 2986 
 
 SaSa 
 
 35i8 
 
 3783 
 
 4o49 
 
 43i4 
 
 4579 
 
 266 
 
 i64 
 
 4844 
 
 5109 
 
 5373 
 
 5638 
 
 5902 
 
 6166 
 
 643o 
 
 6694 
 
 6957 
 
 7221 
 
 264 
 
 i65 
 
 7484 
 
 7747 
 
 8010 
 
 8273 
 
 8536 
 
 8798 
 
 9060 
 
 9323 
 
 9585 
 
 9846 
 
 262 
 
 166 
 
 220108 
 
 0370 
 
 o63i 
 
 0892 
 
 ii53 
 
 i4i4 
 
 1675 
 
 1936 
 
 2196 
 
 2456 
 
 261 
 
 167 
 
 2716 
 
 2976 
 
 3236 
 
 3496 
 
 3755 
 
 4oi5 
 
 4274 
 
 4533 
 
 4792 
 
 5o5i 
 
 259 
 
 168 
 
 5309 
 
 5568 
 
 5826 
 
 6084 
 
 6343 
 
 6600 
 
 6858 
 
 71 15 
 
 7372 
 
 763o 
 
 258 
 
 i6q 
 
 7887 
 
 8i44 
 
 84oo 
 
 8657 
 
 8913 
 
 9170 
 
 9426 
 
 9682 
 
 9938 
 
 .193 256 
 
 170 
 
 23o449 
 
 0704 
 
 0960 
 
 ]2l5 
 
 1470 
 
 1724 
 
 1979 
 
 2234 
 
 2488 
 
 2742 254 
 
 171 
 
 2996 
 
 325o 
 
 35o4 
 
 3757 
 
 4oi I 
 
 4264 
 
 4517 
 
 4770 
 
 5o23 
 
 5276 
 
 253 
 
 / 
 
 172 
 
 5528 
 
 5781 
 
 6o33 
 
 6285 
 
 6537 
 
 6789 
 
 7041 
 
 7292 
 
 7544 
 
 7795 
 
 252 
 
 173 
 
 8o46 
 
 8297 
 
 8548 
 
 8799 
 
 9049 
 
 9299 
 
 9550 
 
 9800 
 
 ..5o 
 
 .3oo 
 
 25o 
 
 174 
 
 240549 
 
 0799 
 
 io48 
 
 1297 
 
 1 546 
 
 1795 
 
 2o44 
 
 2293 
 
 254i 
 
 2790 
 
 249 
 
 175 
 
 3o38 
 
 3286 
 
 3534 
 
 3782 
 
 4o3o 
 
 4277 
 
 4525 
 
 4772 
 
 5019 
 
 5266 
 
 248 
 
 176 
 
 55i3 
 
 5759 
 
 6006 
 
 6252 
 
 6499 
 
 6745 
 
 6991 
 
 7237 
 
 7482 
 
 7728 
 
 246 
 
 177 
 
 7973 
 
 8219 
 
 8464 
 
 8709 
 
 8954 
 
 9198 
 
 9443 
 
 9687 
 
 9932 
 
 . 176 
 
 245 
 
 178 
 
 25o420 
 
 0664 
 
 0908 
 
 I i5i 
 
 1395 
 
 i638 
 
 1881 
 
 2125 
 
 2368 
 
 2610 
 
 243 
 
 179 
 180 
 
 2853 
 
 3096 
 
 3338 
 
 358o 
 
 3822 
 
 4o64 
 
 43o6 
 
 4548 
 
 4790 
 
 5o3i 
 
 242 
 
 5273 
 
 55i4 
 
 5755 
 
 5996 
 
 6237 
 
 6477 
 
 6718 
 
 6958 
 
 7198 
 
 7439 
 
 241 
 
 i8i 
 
 7679 
 
 7918 
 
 8i58 
 
 8398 
 
 8637 
 
 8877 
 
 91 16 
 
 9355 
 
 9594 
 
 9833 
 
 239 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 1 
 
 8 
 
 9 
 
 D. 
 
 
 202 
 
 29 
 
 58 
 
 88 
 
 117 
 
 i46 
 
 175 
 
 ao4 
 
 234 
 
 263 
 
 
 
 7 
 
 290 
 
 29 
 
 58 
 
 87 
 
 116 
 
 i45 
 
 174 
 
 203 
 
 23a 
 
 261 
 
 
 
 288 
 
 29 
 
 58 
 
 86 
 
 ii5 
 
 i44 
 
 173 
 
 202 
 
 a3o 
 
 aSg 
 
 
 
 286 
 
 29 
 
 5? 
 
 86 
 
 ii4 
 
 143 
 
 172 
 
 200 
 
 229 
 
 257 
 
 
 
 284 
 
 28 
 
 5? 
 
 85 
 
 ii4 
 
 l42 
 
 170 
 
 199 
 
 227 
 
 256 
 
 
 
 282 
 
 28 
 
 56 
 
 85 
 
 ii3 
 
 i4i 
 
 169 
 
 197 
 
 226 
 
 254 
 
 
 
 280 
 
 28 
 
 56 
 
 84 
 
 iia 
 
 i4o 
 
 168 
 
 196 
 
 224 
 
 252 
 
 
 
 278 
 
 28 
 
 56 
 
 83 
 
 III 
 
 139 
 
 167 
 
 195 
 
 222 
 
 25o 
 
 
 
 / 
 
 276 
 
 28 
 
 55 
 
 83 
 
 no 
 
 1 38 
 
 166 
 
 193 
 
 221 
 
 248 
 
 
 
 274 00 
 
 27 
 
 55 
 
 8a 
 
 1 10 
 
 i37 
 
 i64 
 
 192 
 
 219 
 
 247 
 
 
 
 272 js 
 
 27 
 
 54 
 
 8a 
 
 109 
 
 i36 
 
 i63 
 
 190 
 
 218 
 
 245 
 
 
 06 
 
 270 tLt 
 
 27 
 
 54 
 
 81 
 
 io8 
 
 i35 
 
 162 
 
 189 
 
 216 
 
 243 
 
 
 8 
 
 268 -- 
 
 27 
 
 54 
 
 80 
 
 107 
 
 1 34 
 
 161 
 
 188 
 
 2l4 
 
 24 1 
 
 
 s 
 S ' 
 
 266 = ■ 
 
 27 
 
 53 
 
 80 
 
 106 
 
 i33 
 
 160 
 
 186 
 
 2l3 
 
 a39 
 
 
 q 
 
 264 -J 
 
 26 
 
 53 
 
 79 
 
 106 
 
 l32 
 
 i58 
 
 i85 
 
 an 
 
 .238 
 
 
 Q 
 
 2D2 
 
 26 
 
 5a 
 
 79 
 
 io5 
 
 i3i 
 
 157 
 
 i83 
 
 210 
 
 336 
 
 
 r^ 
 
 260 P 
 
 26 
 
 52 
 
 78 
 
 io4 
 
 i3o 
 
 i56 
 
 i8a 
 
 208 
 
 234 
 
 
 
 258 pi 
 
 26 
 
 52 
 
 77 
 
 io3 
 
 129 
 
 i55 
 
 181 
 
 206 
 
 232 
 
 
 
 256 
 
 26 
 
 5i 
 
 77 
 
 102 
 
 128 
 
 1 54 
 
 179 
 
 205 
 
 23o 
 
 
 
 254 
 
 25 
 
 5i 
 
 76 
 
 loa 
 
 127 
 
 i5a 
 
 178 
 
 2o3 
 
 229 
 
 
 
 25a 
 
 25 
 
 5o 
 
 76 
 
 lOI 
 
 126 
 
 i5i 
 
 176 
 
 20a 
 
 227 
 
 
 
 25o 
 
 25 
 
 5o 
 
 75 
 
 100 
 
 125 
 
 i5o 
 
 175 
 
 200 
 
 225 
 
 
 
 248 
 
 a5 
 
 5o 
 
 74 
 
 99 
 
 124 
 
 149 
 
 174 
 
 198 
 
 223 
 
 
 
 246 
 
 25 
 
 49 
 
 74 
 
 98 
 
 123 
 
 i48 
 
 17a 
 
 197 
 
 221 
 
 
 
 244 
 
 24 
 
 49 
 
 73 
 
 98 
 
 122 
 
 i46 
 
 171 
 
 195 
 
 220 
 
 
 
 24a 
 
 24 
 
 48 
 
 73 
 
 97 
 
 121 
 
 i45 
 
 169 
 
 194 
 
 218 
 
 
 
 240 
 
 24 48 
 
 72 
 
 96 
 
 120 
 
 1 44 
 
 168 
 
 19a 
 
 216 
 
 

 
 
 LOGAIIITHMS OF N 
 
 UMBERS. 
 
 
 
 5 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 182 
 
 260071 
 
 o3io 
 
 o548 
 
 0787 
 
 1025 
 
 1263 
 
 i5oi 
 
 1739 
 
 1976 
 
 22l4 
 
 238 
 
 i83 
 
 245i 
 
 2688 
 
 2925 
 
 3162 
 
 3399 
 
 3636 
 
 3873 
 
 4109 
 
 4346 
 
 4582 
 
 237 
 
 i84 
 
 4818 
 
 5o54 
 
 5290 
 
 5525 
 
 5761 
 
 5996 
 
 6232 
 
 6467 
 
 6702 
 
 6937 
 
 235 
 
 i85 
 
 7172 
 
 7406 
 
 7641 
 
 7875 
 
 8110 
 
 8344 
 
 8578 
 
 8812 
 
 9046 
 
 9279 
 
 234 
 
 i86 
 
 95i3 
 
 9746 
 
 9980 
 
 .2l3 
 
 .446 
 
 .679 
 
 .912 
 
 1 144 
 
 1377 
 
 1609 
 
 233 
 
 187 
 
 271842 
 
 2074 
 
 23o6 
 
 2538 
 
 2770 
 
 3ooi 
 
 3233 
 
 3464 
 
 3696 
 
 3927 
 
 232 
 
 188 
 
 4i58 
 
 4389 
 
 4620 
 
 485o 
 
 5o8i 
 
 53ii 
 
 5542 
 
 5772 
 
 6002 
 
 6232 
 
 23o 
 
 189 
 
 6462 
 
 6692 
 
 6921 
 
 7i5i 
 
 7380 
 
 7609 
 
 7838 
 
 8067 
 
 8296 
 
 8525 
 
 229 
 
 190 
 
 8754 
 
 8982 
 
 9211 
 
 9439 
 
 9667 
 
 9895 
 
 .123 
 
 .35i 
 
 .578 
 
 .806 
 
 228 
 
 191 
 
 281033 
 
 1261 
 
 i488 
 
 1715 
 
 1942 
 
 2169 
 
 2396 
 
 2622 
 
 2849 
 
 3075 
 
 227 
 
 192 
 
 33oi 
 
 3527 
 
 3753 
 
 3979 
 
 42o5 
 
 443 1 
 
 4656 
 
 4882 
 
 5107 
 
 5332 
 
 226 
 
 193 
 
 5557 
 
 5782 
 
 6007 
 
 6232 
 
 6456 
 
 6681 
 
 6905 
 
 7i3o 
 
 7354 
 
 7578 
 
 225 
 
 194 
 195 
 
 7802 
 290035 
 
 8026 
 0257 
 
 8249 
 o48o 
 
 8473 
 0702 
 
 8696 
 0925 
 
 8920 
 
 ii47 
 
 9143 
 
 9366 
 
 9589 
 
 9812 
 
 223 
 
 1369 
 
 1591 
 
 i8i3 
 
 2o34 
 
 222 
 
 196 
 
 2256 
 
 2478 
 
 2699 
 
 2920 
 
 3i4i 
 
 3363 
 
 3584 
 
 38o4 
 
 4o25 
 
 4246 
 
 221 
 
 197 
 
 4466 
 
 4687 
 
 4907 
 
 5i27 
 
 5347 
 
 5567 
 
 5787 
 
 6007 
 
 6226 
 
 6446 
 
 220 
 
 198 
 
 6665 
 
 6884 
 
 7104 
 
 7323 
 
 7542 
 
 7761 
 
 7979 
 
 8198 
 
 84i6 
 
 8635 
 
 219 
 
 199 
 
 8853 
 
 9071 
 
 9289 
 
 9507 
 
 9725 
 
 9943 
 
 .161 
 
 .378 
 
 .595 
 
 .8i3 
 
 2X8 
 
 200 
 
 3oio3o 
 
 1247 
 
 1 464 
 
 1681 
 
 1898 
 
 2Il4 
 
 233i 
 
 2547 
 
 2764 
 
 2980 
 
 217 
 
 201 
 
 3196 
 
 3412 
 
 3628 
 
 3844 
 
 4o59 
 
 4275 
 
 4491 
 
 4706 
 
 4921 
 
 5i36 
 
 2l6 
 
 202 
 
 535i 
 
 5566 
 
 5781 
 
 5996 
 
 6211 
 
 6425 
 
 6639 
 
 6854 
 
 7068 
 
 7282 
 
 2X4 
 
 203 
 
 7496 
 
 7710 
 
 7924 
 
 8i37 
 
 835i 
 
 8564 
 
 8778 
 
 8991 
 
 9204 
 
 9417 
 
 2X3 
 
 2o4 
 
 g63o 
 
 9843 
 
 ..56 
 
 .268 
 
 .481 
 
 .693 
 
 .906 
 
 1118 
 
 i33o 
 
 i542 
 
 212 
 
 2o5 311754 
 
 1966 
 
 2177 
 
 2389 
 
 2600 
 
 2812 
 
 3o23 
 
 3234 
 
 3445 
 
 3656 
 
 211 
 
 206 
 
 3867 
 
 4078 
 
 4289 
 
 4499 
 
 4710 
 
 4920 
 
 5i3o 
 
 5340 
 
 555i 
 
 5760 
 
 210 
 
 207 
 
 5970 
 
 6180 
 
 6390 
 
 6599 
 
 6809 
 
 7018 
 
 7227 
 
 7436 
 
 7646 
 
 7854 
 
 209 
 
 208 
 
 8o63 
 
 8272 
 
 848 1 
 
 8689 
 
 8898 
 
 9106 
 
 93x4 
 
 9522 
 
 9730 
 
 9938 
 
 208 
 
 209 
 
 32oi46 
 
 o354 
 
 o562 
 
 0769 
 
 0977 
 
 ii84 
 
 1391 
 
 1598 
 
 i8o5 
 
 2012 
 
 207 
 
 210 
 
 2219 
 
 2426 
 
 2633 
 
 2839 
 
 3o46 
 
 3252 
 
 3458 
 
 3665 
 
 3871 
 
 4077 
 
 206 
 
 211 
 
 4282 
 
 4488 
 
 4694 
 
 4899 
 
 5io5 
 
 53io 
 
 55i6 
 
 5721 
 
 5926 
 
 6i3i 
 
 2o5 
 
 212 
 
 6336 
 
 654i 
 
 6745 
 
 6950 
 
 7i55 
 
 7359 
 
 7563 
 
 7767 
 
 7972 
 
 8176 
 
 204 
 
 2l3 
 
 838o 
 
 8583 
 
 8787 
 
 8991 
 
 9194 
 
 9398 
 
 9601 
 
 9805 
 
 ...8 
 
 .211 
 
 2o3 
 
 2l4 
 
 33o4i4 
 
 0617 
 
 0819 
 
 1022 
 
 1225 
 
 1427 
 
 i63o 
 
 i832 
 
 2o34 
 
 2236 
 
 202 
 
 2l5 
 
 2438 
 
 2640 
 
 2842 
 
 3o44 
 
 3246 
 
 3447 
 
 3649 
 
 385o 
 
 4o5i 
 
 4253 
 
 202 
 
 216 
 
 4454 
 
 4655 
 
 4856 
 
 5o57 
 
 5257 
 
 5458 
 
 5658 
 
 5859 
 
 6059 
 
 6260 
 
 201 
 
 217 
 
 646o 6660 
 
 6860 
 
 7060 
 
 7260 
 
 7459 
 
 7659 
 
 7858 
 
 8o58 
 
 8257 
 
 200 
 
 218 
 
 8456 
 
 8656 
 
 8855 
 
 9054 
 
 9253 
 
 945 1 
 
 9650 
 
 9849 
 
 ..47 
 
 .246 
 
 X99 
 
 219 
 
 340444 
 
 0642 
 
 o84i 
 
 1039 
 
 1237 
 
 1435 
 
 i632 
 
 i83o 
 
 2028 
 
 2225 
 
 198 
 
 220 
 
 2423 
 
 2620 
 
 2817 
 
 3oi4 
 
 3212 
 
 3409 
 
 36o6 
 
 38o2 
 
 3999 
 
 4196 
 
 197 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 
 '238 
 
 ' 24 
 
 48 
 
 71 
 
 95 
 
 119 
 
 i43 
 
 167 
 
 190 
 
 2l4 
 
 
 
 236 
 
 24 
 
 47 
 
 71 
 
 94 
 
 118 
 
 142 
 
 i65 
 
 189 
 
 212 
 
 
 
 234 
 
 23 
 
 47 
 
 70 
 
 94 
 
 117 
 
 i4o 
 
 1 64 
 
 187 
 
 2IX 
 
 
 
 232 
 
 23 
 
 46 
 
 70 
 
 93 
 
 116 
 
 139 
 
 162 
 
 186 
 
 209 
 
 
 
 230 
 
 23 
 
 46 
 
 69 
 
 92 
 
 ii5 
 
 i38 
 
 161 
 
 1 84 
 
 207 
 
 
 
 228 
 
 23 
 
 46 
 
 68 
 
 91 
 
 ii4 
 
 i37 
 
 160 
 
 182 
 
 2o5 
 
 
 
 226 
 
 23 
 
 45 
 
 68 
 
 90 
 
 ii3 
 
 i36 
 
 i58 
 
 181 
 
 203 
 
 
 
 224 $ 
 
 22 
 
 45 
 
 67 
 
 90 
 
 112 
 
 i34 
 
 i57 
 
 179 
 
 202 
 
 
 
 222 3 
 
 22 
 
 44 
 
 67 
 
 89 
 
 II I 
 
 i33 
 
 i55 
 
 178 
 
 200 
 
 
 05 
 
 
 
 220 ^ 
 
 22 
 
 44 
 
 66 
 
 88 
 
 no 
 
 l32 
 
 1 54 
 
 176 
 
 198 
 
 
 §- 
 
 a . 
 2t8 .2 
 
 22 
 
 44 
 
 65 
 
 87 
 
 109 
 
 i3i 
 
 i53 
 
 174 
 
 196 
 
 
 i 
 
 216 1 
 
 22 
 
 43 
 
 65 
 
 86 
 
 108 
 
 i3o 
 
 i5i 
 
 173 
 
 194 
 
 
 Q 
 
 2l4 §- 
 
 21 
 
 43 
 
 64 
 
 86 
 
 107 
 
 128 
 
 i5o 
 
 171 
 
 193 
 
 
 
 212 ^ 
 
 21 
 
 42 
 
 64 
 
 85 
 
 106 
 
 127 
 
 i48 
 
 170 
 
 191 
 
 
 
 210 
 
 21 
 
 42 
 
 63 
 
 84 
 
 io5 
 
 126 
 
 147 
 
 168 
 
 189 
 
 
 
 208 
 
 21 
 
 42 
 
 62 
 
 83 
 
 io4 
 
 125 
 
 i46 
 
 166 
 
 187 
 
 
 
 206 
 
 21 
 
 4i 
 
 62 
 
 82 
 
 io3 
 
 124 
 
 i44 
 
 i65 
 
 i85 
 
 
 
 204 
 
 20 
 
 4i 
 
 61 
 
 82 
 
 102 
 
 122 
 
 143 
 
 i63 
 
 i84 
 
 
 
 202 
 
 20 
 
 4o 
 
 61 
 
 81 
 
 lOI 
 
 121 
 
 i4i 
 
 162 
 
 182 
 
 
 
 200 
 
 20 
 
 4o 
 
 60 
 
 80 
 
 100 
 
 120 
 
 i4o 
 
 160 
 
 180 
 
 
 
 I 198 
 
 . 20 
 
 4o 
 
 59 
 
 79 
 
 99 
 
 119 
 
 139 
 
 i58 
 
 178 
 
 
6 
 
 
 
 LOGAKITHMS OF N 
 
 UMBEES. 
 
 
 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 221 
 
 344392 
 
 4589 
 
 4785 
 
 4981 
 
 5178 
 
 5374 
 
 5570 
 
 5766 
 
 5962 
 
 6167 
 
 196 
 
 222 
 
 6353 
 
 6549 
 
 6744 
 
 6939 
 
 7135 
 
 7330 
 
 7525 
 
 7720 
 
 7915 
 
 8110 
 
 195 
 
 223 
 
 83o5 
 
 85oo 
 
 8694 
 
 8889 
 
 9083 
 
 9278 
 
 9472 
 
 9666 
 
 9860 
 
 ..54 
 
 194 
 
 224 
 
 350248 
 
 0442 
 
 06 3 6 
 
 0829 
 
 1023 
 
 1216 
 
 i4io 
 
 i6o3 
 
 1796 
 
 1989 
 
 193 
 
 225 
 
 2i83 
 
 2375 
 
 2568 
 
 2761 
 
 2954 
 
 3i47 
 
 3339 
 
 3532 
 
 3724 
 
 3916 
 
 
 226 
 
 4io8 
 
 43oi 
 
 4493 
 
 4685 
 
 4876 
 
 5o68 
 
 5260 
 
 5452 
 
 5643 
 
 5834 
 
 192 
 
 227 
 
 6026 
 
 6217 
 
 64o8 
 
 5599 
 
 6790 
 
 6981 
 
 7172 
 
 7363 
 
 7554 
 
 7744 
 
 191 
 
 228 
 
 7935 
 
 8i25 
 
 83i6 
 
 85o6 
 
 8696 
 
 8886 
 
 9076 
 
 9266 
 
 9456 
 
 9646 
 
 190 
 
 229 
 
 9835 
 
 ..25 
 
 .2l5 
 
 .404 
 
 .593 
 
 .783 
 
 .972 
 
 u6i 
 
 i35o 
 
 1539 
 
 189 
 
 23o 
 
 36x728 
 
 1917 
 
 2io5 
 
 2294 
 
 2482 
 
 2671 
 
 2859 
 
 3o48 
 
 3236 
 
 3424 
 
 188 
 
 23l 
 
 36i2 
 
 38oo 
 
 3988 
 
 4176 
 
 4363 
 
 455 1 
 
 4739 
 
 4926 
 
 5ii3 
 
 53oi 
 
 
 232 
 
 5488 
 
 5675 
 
 5862 
 
 6049 
 
 6236 
 
 6423 
 
 6610 
 
 6796 
 
 6983 
 
 7169 
 
 187 
 
 233 
 
 7356 
 
 7542 
 
 7729 
 
 7915 
 
 8ioi 
 
 8287 
 
 8473 
 
 8659 
 
 8845 
 
 9o3o 
 
 186 
 
 234 
 
 9216 
 
 94oi 
 
 9587 
 
 9772 
 
 9958 
 
 .143 
 
 .328 
 
 .5i3 
 
 .698 
 
 .883 
 
 i85 
 
 235 
 
 371068 
 
 1253 
 
 1437 
 
 1622 
 
 1806 
 
 1991 
 
 2175 
 
 236o 
 
 2544 
 
 2728 
 
 i84 
 
 236 
 
 2912 
 
 3096 
 
 3280 
 
 3464 
 
 3647 
 
 383i 
 
 4oi5 
 
 4198 
 
 4382 
 
 4565 
 
 
 237 
 
 4748 
 
 4932 
 
 5ii5 
 
 5298 
 
 548i 
 
 5664 
 
 5846 
 
 6029 
 
 6212 
 
 6394 
 
 i83 
 
 238 
 
 6577 
 
 6759 
 
 6942 
 
 7124 
 
 7306 
 
 7488 
 
 7670 
 
 7852 
 
 8o34 
 
 8216 
 
 182 
 
 239 
 
 8398 
 
 858o 
 
 8761 
 
 8943 
 
 9124 
 
 9306 
 
 9487 
 
 9668 
 
 9849 
 
 ..3o 
 
 181 
 
 240 
 
 38o2ii 
 
 0392 
 
 0573 
 
 0754 
 
 0934 
 
 iii5 
 
 1296 
 
 1476 
 
 i656 
 
 1837 
 
 
 241 
 
 2017 
 
 2197 
 
 2377 
 
 2557 
 
 2737 
 
 2917 
 
 3097 
 
 3277 
 
 3456 
 
 3636 
 
 180 
 
 242 
 
 38i5 
 
 3995 
 
 4174 
 
 4353 
 
 4533 
 
 4712 
 
 4891 
 
 5070 
 
 5249 
 
 5428 
 
 179 
 
 243 
 
 56o6 
 
 5785 
 
 5964 
 
 6142 
 
 6321 
 
 6499 
 
 6677 
 
 6856 
 
 7034 
 
 7212 
 
 178 
 
 244 
 
 7390 
 
 7568 
 
 7746 
 
 7923 
 
 8101 
 
 8279 
 
 8456 
 
 8634 
 
 8811 
 
 8989 
 
 
 245 
 
 9166 
 
 9343 
 
 9520 
 
 9698 
 
 9875 
 
 ..5i 
 
 .228 
 
 .4o5 
 
 .582 
 
 .759 
 
 177 
 
 246 
 
 390935 
 
 1 1 12 
 
 1288 
 
 1 464 
 
 i64i 
 
 1817 
 
 1993 
 
 2169 
 
 2345 
 
 2521 
 
 176 
 
 247 
 
 2697 
 
 2873 
 
 3o48 
 
 3224 
 
 3400 
 
 3575 
 
 3751 
 
 3926 
 
 4ioi 
 
 4277 
 
 
 248 
 
 4452 
 
 4627 
 
 4802 
 
 4977 
 
 5i52 
 
 5326 
 
 55oi 
 
 5676 
 
 585o 
 
 6025 
 
 175 
 
 249 
 
 6199 
 
 6374 
 
 6548 
 
 6722 
 
 6896 
 
 7071 
 
 7245 
 
 7419 
 
 7592 
 
 7766 
 
 174 
 
 25o 
 
 7940 
 
 8ii4 
 
 8287 
 
 846 1 
 
 8634 
 
 8808 
 
 G981 
 
 9154 
 
 9328 
 
 9501 
 
 173 
 
 25l 
 
 9674 
 
 9847 
 
 . .20 
 
 . 192 
 
 .365 
 
 .538 
 
 .711 
 
 .883 
 
 io56 
 
 1228 
 
 
 262 
 
 4oi4oi 
 
 1573 
 
 1745 
 
 1917 
 
 2089 
 
 2261 
 
 2433 
 
 2605 
 
 2777 
 
 2949 
 
 172 
 
 253 
 
 3l2I 
 
 3292 
 
 3464 
 
 3635 
 
 3807 
 
 3978 
 
 4i49 
 
 4320 
 
 4492 
 
 4663 
 
 171 
 
 254 
 
 4834 
 
 5oo5 
 
 5176 
 
 5346 
 
 5517 
 
 5688 
 
 5858 
 
 6029 
 
 6199 
 
 6370 
 
 
 255 
 
 654o 
 
 6710 
 
 638i 
 
 7o5i 
 
 7221 
 
 7391 
 
 756i 
 
 7731 
 
 7901 
 
 8070 
 
 170 
 
 256 
 
 8240 
 
 84io 
 
 8579 
 
 8749 
 
 8918 
 
 9087 
 
 9257 
 
 9426 
 
 9595 
 
 9764 
 
 169 
 
 257 
 
 9933 
 
 . 102 
 
 .271 
 
 .440 
 
 .609 
 
 •777 
 
 • 946 
 
 I ii4 
 
 1283 
 
 i45i 
 
 
 258 
 
 411620 
 
 1788 
 
 1956 
 
 2124 
 
 2293 
 
 2461 
 
 2629 
 
 2796 
 
 2964 
 
 3i32 
 
 168 
 
 259 
 
 33oo 
 
 3467 
 
 3635 
 
 38o3 
 
 3970 
 
 4i37 
 
 43o5 
 
 4472 
 
 4639 
 
 4806 
 
 167 
 
 260 
 
 4973 
 
 5i4o 
 
 5307 
 
 5474 
 
 564i 
 
 58o8 
 
 5974 
 
 6i4i 
 
 63o8 
 
 6474 
 
 
 261 
 
 664i 
 
 6807 
 
 6973 
 
 7139 
 
 7306 
 
 7472 
 
 7638 
 
 7804 
 
 7970 
 
 8i35 
 
 166 
 
 262 
 
 83oi 
 
 8467 
 
 8633 
 
 8798 
 
 8964 
 
 9129 
 
 9295 
 
 9460 
 
 9625 
 
 9791 
 
 i65 
 
 263 
 
 9956 
 
 . 121 
 
 .286 
 
 .45i 
 
 .616 
 
 .781 
 
 .945 
 
 1 1 10 
 
 1275 
 
 1439 
 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 1 
 
 8 
 
 9 
 
 D. 
 
 
 ' 196 
 
 20 
 
 39 
 
 59 
 
 78 
 
 98 
 
 118 
 
 137 
 
 i57 
 
 176 
 
 
 
 194 
 
 19 
 
 39 
 
 58 
 
 78 
 
 97 
 
 116 
 
 1 36 
 
 i55 
 
 175 
 
 
 
 192 
 
 19 
 
 38 
 
 58 
 
 77 
 
 96 
 
 ii5 
 
 i34 
 
 1 54 
 
 173 
 
 
 
 190 
 
 19 
 
 38 
 
 57 
 
 76 
 
 95 
 
 ii4 
 
 i33 
 
 l52 
 
 171 
 
 
 
 188 
 
 19 
 
 38 
 
 56 
 
 75 
 
 94 
 
 ii3 
 
 l32 
 
 i5o 
 
 169 
 
 
 
 186 i 
 
 19 
 
 37 
 
 56 
 
 74 
 
 93 
 
 112 
 
 i3o 
 
 149 
 
 167 
 
 
 
 i84 P^ 
 
 i8 
 
 37 
 
 55 
 
 74 
 
 92 
 
 no 
 
 129 
 
 147 
 
 166 
 
 
 
 
 a 
 
 182 % 
 
 18 
 
 36 
 
 55 
 
 73 
 
 91 
 
 109 
 
 127 
 
 i46 
 
 1 64 
 
 
 u ■ 
 
 180 § ■ 
 
 18 
 
 36 
 
 54 
 
 72 
 
 90 
 
 108 
 
 126 
 
 i44 
 
 162 
 
 
 
 178-^ 
 
 i8 
 
 36 
 
 53 
 
 71 
 
 89 
 
 107 
 
 125 
 
 142 
 
 160 
 
 
 Q 
 
 176 a 
 
 18 
 
 35 
 
 53 
 
 70 
 
 88 
 
 106 
 
 123 
 
 i4i 
 
 i58 
 
 
 
 174 g 
 
 Ph 
 172 
 
 17 
 
 35 
 
 52 
 
 70 
 
 87 
 
 io4 
 
 122 
 
 139 
 
 157 
 
 
 
 17 
 
 34 
 
 52 
 
 69 
 
 86 
 
 io3 
 
 120 
 
 i38 
 
 i55 
 
 
 
 170 
 
 17 
 
 34 
 
 5i 
 
 68 
 
 85 
 
 102 
 
 119 
 
 i36 
 
 i53 
 
 
 
 168 
 
 17 
 
 34 
 
 5o 
 
 67 
 
 84 
 
 lOI 
 
 118 
 
 1 34 
 
 i5i 
 
 
 
 166 
 
 17 
 
 33 
 
 5o 
 
 66 
 
 83 
 
 100 
 
 116 
 
 i33 
 
 149 
 
 
 
 li64 
 
 I 16 
 
 33 
 
 49 
 
 66 
 
 82 
 
 98 
 
 ii5 
 
 i3i 
 
 i48 
 
 

 
 LOGAKITHMS OF N 
 
 UMBERS. 
 
 
 
 7 
 
 N. 
 
 
 
 1 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 264 
 
 421604 
 
 1768 
 
 1933 
 
 2097 
 
 2261 
 
 2426 
 
 2590 
 
 2754 
 
 2918 
 
 3082 
 
 164 
 
 265 
 
 3246 
 
 3410 
 
 3574 
 
 3737 
 
 3901 
 
 4o65 
 
 4228 
 
 4392 
 
 4555 
 
 4718 
 
 
 266 
 
 4882 
 
 5o45 
 
 5208 
 
 5371 
 
 5534 
 
 5697 
 
 586o 
 
 6023 
 
 6186 
 
 6349 
 
 i63 
 
 267 
 
 65n 
 
 6674 
 
 6836 
 
 6999 
 
 7161 
 
 7324 
 
 7486 
 
 7648 
 
 7811 
 
 7973 
 
 162 
 
 268 
 
 8i35 
 
 8297 
 
 8459 
 
 8621 
 
 8783 
 
 8944 
 
 9106 
 
 9268 
 
 9429 
 
 9591 
 
 
 269 
 
 9752 
 
 9914 
 
 ..75 
 
 .236 
 
 .398 
 
 .559 
 
 .720 
 
 .881 
 
 1042 
 
 I2o3 
 
 161 
 
 270 
 
 43i364 
 
 i525 
 
 i685 
 
 i846 
 
 2007 
 
 2167 
 
 2328 
 
 2488 
 
 2649 
 
 2809 
 
 
 271 
 
 2969 
 
 3i3o 
 
 3290 
 
 345o 
 
 36io 
 
 3770 
 
 3930 
 
 4090 
 
 4249 
 
 4409 
 
 160 
 
 272 
 
 4569 
 
 4729 
 
 4888 
 
 5o48 
 
 5207 
 
 5367 
 
 5526 
 
 5685 
 
 5844 
 
 6oo4 
 
 159 
 
 273 
 
 6i63 
 
 6322 
 
 648 1 
 
 664o 
 
 6799 
 
 6957 i 71 16 
 
 7275 
 
 7433 
 
 7592 
 
 
 274 
 
 7751 
 
 7909 
 
 8067 
 
 8226 
 
 8384 
 
 8542 
 
 8701 
 
 8859 
 
 9017 
 
 9175 
 
 i58 
 
 275 
 
 9333 
 
 9491 
 
 9648 
 
 9806 
 
 9964 
 
 .122 
 
 .279 
 
 .437 
 
 .594 
 
 .752 
 
 
 276 
 
 440909 
 
 1066 
 
 1224 
 
 i38i 
 
 i538 
 
 1695 
 
 i852 
 
 2009 
 
 2166 
 
 2323 
 
 i57 
 
 277 
 
 24S0 
 
 2637 
 
 2793 
 
 2950 
 
 3io6 
 
 3263 
 
 3419 
 
 3576 
 
 3732 
 
 3889 
 
 
 278 
 
 4o45 
 
 4201 
 
 4357 
 
 45i3 
 
 4669 
 
 4825 
 
 4981 
 
 5i37 
 
 5293 
 
 5449 
 
 i56 
 
 279 
 
 56o4 
 
 5760 
 
 5915 
 
 6071 
 
 6226 
 
 6382 
 
 6537 
 
 6692 
 
 6848 
 
 7003 
 
 i55 
 
 280 
 
 7i58 
 
 73i3 
 
 7468 7623 1 
 
 7778 
 
 7933 
 
 8088 
 
 8242 
 
 8397 
 
 8552 
 
 
 281 
 
 8706 
 
 8861 
 
 90i5 
 
 9170 
 
 9324 
 
 9478 
 
 9633 
 
 9787 
 
 9941 
 
 ..95 
 
 1 54 
 
 282 
 
 450249 
 
 o4o3 
 
 0557 
 
 0711 
 
 o865 
 
 1018 
 
 1 172 
 
 i326 
 
 1479 
 
 i633 
 
 
 283 
 
 1786 
 
 1940 
 
 2093 
 
 2247 
 
 2400 
 
 2553 
 
 2706 
 
 2859 
 
 3oi2 
 
 3i65 
 
 i53 
 
 284 
 
 33i8 
 
 3471 
 
 3624 
 
 3777 
 
 3930 
 
 4082 
 
 4235 
 
 4387 
 
 4540 
 
 4692 
 
 
 285 
 
 4845 
 
 4997 
 
 5i5o 
 
 53o2 
 
 5454 
 
 56o6 
 
 5758 
 
 5910 
 
 6062 
 
 6214 
 
 l52 
 
 286 
 
 6366 
 
 65i8 
 
 6670 
 
 6821 
 
 6973 
 
 7125 
 
 7276 
 
 7428 
 
 7579 
 
 7731 
 
 
 287 
 
 7882 
 
 8o33 
 
 8184 
 
 8336 
 
 8487 
 
 8638 
 
 8789 
 
 8940 
 
 9091 
 
 9242 
 
 i5i 
 
 288 
 
 9392 
 
 9543 
 
 9694 
 
 9845 
 
 9995 
 
 .i46 
 
 .296 
 
 .447 
 
 .597 
 
 .748 
 
 
 289 
 
 460898 
 
 io48 
 
 1198 
 
 1 348 
 
 1499 
 
 1649 
 
 1799 
 
 1948 
 
 2098 
 
 2248 
 
 i5o 
 
 290 
 
 2398 
 
 2548 
 
 2697 
 
 2847 
 
 2997 
 
 3i46 
 
 3296 
 
 3445 
 
 3594 
 
 3744 
 
 
 291 
 
 3893 
 
 4042 
 
 4191 
 
 4340 
 
 4490 
 
 4639 
 
 4788 
 
 4936 
 
 5o85 
 
 5234 
 
 149 
 
 292 
 
 5383 
 
 5532 
 
 568o 
 
 5829 
 
 5977 
 
 6126 
 
 6274 
 
 6423 
 
 6571 
 
 6719 
 
 
 293 
 
 6868 
 
 7016 
 
 7164 
 
 7312 
 
 7460 
 
 7608 
 
 7756 
 
 7904 
 
 8o52 
 
 8200 
 
 i48 
 
 294 
 
 8347 
 
 8495 
 
 8643 
 
 8790 
 
 8938 
 
 9085 
 
 9233 
 
 9380 
 
 9527 
 
 9675 
 
 
 295 
 
 9822 
 
 9969 
 
 .116 
 
 .263 
 
 .410 
 
 .557 
 
 .704 
 
 .85i 
 
 .998 
 
 ii45 
 
 147 
 
 296 
 
 471292 
 
 i438 
 
 i585 
 
 1732 
 
 1878 
 
 2025 
 
 2171 
 
 23i8 
 
 2464 
 
 2610 
 
 
 297 
 
 2756 
 
 2903 
 
 3o49 
 
 3195 
 
 3341 
 
 3487 
 
 3633 
 
 3779 
 
 3925 
 
 4071 
 
 1 46 
 
 298 
 
 4216 
 
 4362 
 
 45o8 
 
 4653 
 
 4799 
 
 4944 
 
 5090 
 
 5235 
 
 538i 
 
 5526 
 
 
 299 
 
 5671 
 
 58i6 
 
 5962 
 
 6107 
 
 6252 
 
 5397 
 
 6542 
 
 6687 
 
 6832 
 
 6976 
 
 i45 
 
 3oo 
 
 7121 
 
 7266 
 
 7411 
 
 7555 
 
 7700 
 
 7844 
 
 7989 
 
 8i33 
 
 8278 
 
 8422 
 
 
 3oi 
 
 8566 
 
 8711 
 
 8855 
 
 8999 
 
 9143 
 
 9287 
 
 9431 
 
 9575 
 
 9719 
 
 9863 
 
 i44 
 
 302 
 
 480007 
 
 oi5i 
 
 o2g4 
 
 o438 
 
 o582 
 
 0725 
 
 0869 
 
 1012 
 
 ii56 
 
 1299 
 
 
 3o3 
 
 1443 
 
 i586 
 
 1729 
 
 1872 
 
 2016 
 
 2159 
 
 2302 
 
 2445 
 
 2588 
 
 2731 
 
 i43 
 
 3o4 
 
 2874 
 
 3oi6 
 
 3i59 
 
 33o2 
 
 3445 
 
 3587 
 
 3730 
 
 3872 
 
 4oi5 
 
 4i57 
 
 
 3o5 
 
 43oo 
 
 4442 
 
 4585 
 
 4727 
 
 4869 
 
 5oii 
 
 5i53 
 
 5295 
 
 5437 
 
 5579 
 
 l42 
 
 3o6 
 
 5721 
 
 5863 
 
 6oo5 
 
 6147 
 
 6289 
 
 643o 
 
 6572 
 
 6714 
 
 6855 
 
 6997 
 
 
 307 
 
 7i38 
 
 7280 
 
 7421 
 
 7563 
 
 7704 
 
 7845 
 
 7986 
 
 8127 
 
 8269 
 
 84io 
 
 i4i 
 
 3o8 
 
 855i 
 
 8692 
 
 8833 
 
 8974 
 
 9114 
 
 9255 
 
 9396 
 
 9537 
 
 9677 
 
 9818 
 
 
 309 
 
 9958 
 
 ••99 
 
 .239 
 
 .38o 
 
 .520 
 
 .661 
 
 .801 
 
 .941 
 
 1081 
 
 1222 
 
 i4o 
 
 3io 
 
 491362 
 
 i5o2 
 
 1642 
 
 1782 
 
 1922 
 
 2062 
 
 2201 
 
 234l 
 
 2481 
 
 2621 
 
 
 3ii 
 
 2760 
 
 2900 
 
 3o4o 
 
 3i79 
 
 3319 
 
 3458 
 
 3597 
 
 3737 
 
 3876 
 
 4oi5 
 
 139 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 
 '162 
 
 f 16 
 
 32 
 
 49 
 
 65 
 
 81 
 
 97 
 
 ii3 
 
 i3o 
 
 i46 
 
 
 
 160 
 
 16 
 
 32 
 
 48 
 
 64 
 
 80 
 
 96 
 
 112 
 
 128 
 
 i44 
 
 
 
 1 58 ^ 
 
 16 
 
 32 
 
 47 
 
 63 
 
 79 
 
 95 
 
 III 
 
 126 
 
 l42 
 
 
 . 
 
 i56 S 
 
 16 
 
 3i 
 
 47 
 
 62 
 
 78 
 
 94 
 
 109 
 
 125 
 
 i4o 
 
 
 CO 
 
 i54 5 
 
 i5 
 
 3i 
 
 46 
 
 62 
 
 77 
 
 92 
 
 108 
 
 123 
 
 139 
 
 
 
 
 l52 "a 
 
 i5 
 
 3o 
 
 46 
 
 61 
 
 76 
 
 91 
 
 106 
 
 122 
 
 i37 
 
 
 i 
 
 e 
 100 -^ 
 
 i5 
 
 3o 
 
 45 
 
 60 
 
 75 
 
 90 
 
 io5 
 
 120 
 
 i35 
 
 
 Q 
 
 i48 S 
 
 i5 
 
 3o 
 
 44 
 
 59 
 
 74 
 
 89 
 
 io4 
 
 118 
 
 i33 
 
 
 
 i46 f 
 
 i5 
 
 29 
 
 44 
 
 58 
 
 73 
 
 88 
 
 102 
 
 117 
 
 i3i 
 
 
 
 i44 ^1 
 
 i4 
 
 29 
 
 43 
 
 58 
 
 72 
 
 86 
 
 lOI 
 
 ii5 
 
 i3o 
 
 
 
 l42 
 
 i4 
 
 28 
 
 43 
 
 57 
 
 71 
 
 85 
 
 99 
 
 ii4 
 
 128 
 
 
 
 i4o 
 
 i4 28 
 
 42 
 
 56 
 
 70 
 
 84 
 
 98 
 
 112 
 
 126 
 
 
8 
 
 Logarithms of Numbers. 
 
 N. 
 
 
 
 1 1 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 3l2 
 
 494155 
 
 4294 
 
 4433 
 
 4572 
 
 4711 
 
 485o 
 
 4989 
 
 5i28 
 
 5267 
 
 5406 
 
 189 
 
 3i3 
 
 5544 
 
 5683 
 
 5822 
 
 5960 
 
 6099 
 
 6288 
 
 6876 
 
 65i5 
 
 6653 
 
 6791 
 
 
 3i4 
 
 6930 
 
 7068 
 
 7206 
 
 7344 
 
 7483 
 
 7621 
 
 7759 
 
 7897 
 
 8o35 
 
 8173 
 
 i38 
 
 3i5 
 
 83ii 
 
 8448 
 
 8586 
 
 8724 
 
 8862 
 
 8999 
 
 9187 
 
 9275 
 
 9412 
 
 9550 
 
 
 3i6 
 
 9687 
 
 9824 
 
 9962 
 
 ••99 
 
 .236 
 
 .374 
 
 .5ii 
 
 .648 
 
 .785 
 
 .922 
 
 187 
 
 3i7 
 
 5oio59 
 
 1196 
 
 i333 
 
 1470 
 
 1607 
 
 1744 
 
 1880 
 
 2017 
 
 2 1 54 
 
 2291 
 
 
 3i8 
 
 2427 
 
 2564 
 
 2700 
 
 2887 
 
 2973 
 
 8109 
 
 3246 
 
 8882 
 
 35i8 
 
 8655 
 
 i36 
 
 319 
 
 3791 
 
 3927 
 
 4o63 
 
 4199 
 
 4335 
 
 4471 
 
 4607 
 
 4743 
 
 4878 
 
 5oi4 
 
 
 320 
 
 5i5o 
 
 5286 
 
 5421 
 
 5557 
 
 5693 
 
 5828 
 
 5964 
 
 6099 
 
 6234 
 
 6870 
 
 
 321 
 
 65o5 
 
 664o 
 
 6776 
 
 6911 
 
 7046 
 
 7181 
 
 7816 
 
 745i 
 
 7586 
 
 7721 
 
 i35 
 
 322 
 
 7856 
 
 7991 
 
 8126 
 
 8260 
 
 8895 
 
 853o 
 
 8664 
 
 8799 
 
 8934 
 
 9068 
 
 
 323 
 
 9203 
 
 9337 
 
 9471 
 
 9606 
 
 9740 
 
 9874 
 
 ...9 
 
 .143 
 
 .277 
 
 .411 
 
 1 84 
 
 324 
 
 5io545 
 
 0679 
 
 o8i3 
 
 0947 
 
 1081 
 
 I2l5 
 
 1849 
 
 1482 
 
 1616 
 
 1750 
 
 
 325 
 
 i883 
 
 2017 
 
 2l5l 
 
 2284 
 
 2418 
 
 255i 
 
 2684 
 
 2818 
 
 2951 
 
 3o84 
 
 i33 
 
 326 
 
 3218 
 
 335i 
 
 3484 
 
 3617 
 
 8750 
 
 3883 
 
 4oi6 
 
 4i49 
 
 4282 
 
 44i5 
 
 
 327 
 
 4548 
 
 468i 
 
 48i3 
 
 4946 
 
 5079 
 
 52II 
 
 5844 
 
 5476 
 
 5609 
 
 5741 
 
 
 328 
 
 5874 
 
 6006 
 
 6139 
 
 6271 
 
 64o3 
 
 6535 
 
 6668 
 
 6800 
 
 6982 
 
 7064 
 
 182 
 
 329 
 
 7196 
 
 7328 
 
 7460 
 
 7592 
 
 7724 
 
 7855 
 
 7987 
 
 8119 
 
 825i 
 
 8382 
 
 
 33o 
 
 85i4 
 
 8646 
 
 8777 
 
 8909 
 
 9040 
 
 9171 
 
 9808 
 
 9434 
 
 9566 
 
 9697 
 
 i3i 
 
 33i 
 
 9828 
 
 9959 
 
 • .90 
 
 .221 
 
 .353 
 
 .484 
 
 .6i5 
 
 .745 
 
 .876 
 
 1007 
 
 
 332 
 
 52ii38 
 
 1269 
 
 i4oo 
 
 i53o 
 
 1661 
 
 1792 
 
 1922 
 
 2o53 
 
 2i83 
 
 23i4 
 
 
 333 
 
 2444 
 
 2575 
 
 2705 
 
 2835 
 
 2966 
 
 8096 
 
 3226 
 
 3856 
 
 3486 
 
 36i6 
 
 i3o 
 
 334 
 
 3746 
 
 3876 
 
 4oo6 
 
 4i36 
 
 4266 
 
 4396 
 
 4526 
 
 4656 
 
 4785 
 
 4915 
 
 
 335 
 
 5o45 
 
 5174 
 
 53o4 
 
 5434 
 
 5563 
 
 5698 
 
 5822 
 
 5951 
 
 6081 
 
 6210 
 
 129 
 
 336 
 
 6339 
 
 6469 
 
 6598 
 
 6727 
 
 6856 
 
 6985 
 
 7114 
 
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 3 
 
 4 
 
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 55 
 
 66 
 
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 33 
 
 44 
 
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 65 
 
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 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
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 409 
 
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 1829 
 
 1936 
 
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 2254 
 
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 2466 
 
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 106 
 
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 3207 
 
 33i3 
 
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 4475 
 
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 52i3 
 
 5319 
 
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 4i3 
 
 5960 
 
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 6160 
 
 6265 
 
 6370 
 
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 658 1 
 
 6686 
 
 6790 
 
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 4i4 
 
 7000 
 
 7105 
 
 7210 
 
 73i5 
 
 7420 
 
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 7629 
 
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 7839 
 
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 420 
 
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 102 
 
 425 
 
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 426 
 
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 427 
 
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 428 
 
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 432 
 
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 5685 
 
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 433 
 
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 6989 
 
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 434 
 
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 435 
 
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 9088 
 
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 99 
 
 436 
 
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 9785 
 
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 437 
 
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 1077 
 
 1177 
 
 1276 
 
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 438 
 
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 1672 
 
 1771 
 
 1871 
 
 1970 
 
 2069 
 
 2168 
 
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 439 
 
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 98 
 
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 442 
 
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 56i9 
 
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 63o6 
 
 
 443 
 
 64o4 
 
 65o2 
 
 6600 
 
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 7089 
 
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 444 
 
 7383 
 
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 7579 
 
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 7969 
 
 8067 
 
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 445 
 
 836o 
 
 8458 
 
 8555 
 
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 8750 
 
 8848 
 
 8945 
 
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 97 
 
 446 
 
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 9432 
 
 9530 
 
 9627 
 
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 447 
 
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 1181 
 
 
 448 
 
 1278 
 
 1375 
 
 1472 
 
 1569 
 
 1666 
 
 1762 
 
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 449 
 
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 96 
 
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 452 
 
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 533i 
 
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 453 
 
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 6769 
 
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 454 
 
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 7438 
 
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 7629 
 
 7725 
 
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 455 
 
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 95 
 
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 457 
 
 9916 
 
 . .11 
 
 .106 
 
 .201 
 
 .296 
 
 .391 
 
 .486 
 
 .58i 
 
 .676 
 
 .771 
 
 
 N. 
 
 - 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 1 
 
 8 
 
 9 
 
 D. 
 
 
 ' 106 
 
 ' 11 
 
 21 
 
 32 
 
 42 
 
 53 
 
 64 
 
 74 
 
 85 
 
 95 
 
 
 
 io5 . 
 
 II 
 
 21 
 
 32 
 
 42 
 
 53 
 
 63 
 
 74 
 
 84 
 
 95 
 
 
 
 io4 1 
 
 10 
 
 21 
 
 3i 
 
 42 
 
 52 
 
 62 
 
 73 
 
 83 
 
 94 
 
 
 06 
 
 io3^ 
 
 10 
 
 21 
 
 3i 
 
 4i 
 
 52 
 
 62 
 
 72 
 
 82 
 
 93 
 
 
 
 
 102 ^ 
 
 10 
 
 20 
 
 3i 
 
 4i 
 
 5i 
 
 61 
 
 71 
 
 82 
 
 92 
 
 
 3 
 
 lOI |. 
 
 10 
 
 20 
 
 3o 
 
 40 
 
 5i 
 
 61 
 
 71 
 
 81 
 
 91 
 
 
 ^ 
 
 100 '^ 
 
 10 
 
 20 
 
 3o 
 
 4o 
 
 5o 
 
 60 
 
 70 
 
 80 
 
 90 
 
 
 Q 
 
 99 a 
 
 10 
 
 20 
 
 3o 
 
 4o 
 
 5o 
 
 59 
 
 69 
 
 79 
 
 89 
 
 
 
 ^^1 
 
 10 
 
 20 
 
 29 
 
 39 
 
 49 
 
 59 
 
 69 
 
 78 
 
 88 
 
 
 
 97 ^ 
 
 10 
 
 19 
 
 29 
 
 39 
 
 49 
 
 58 
 
 68 
 
 78 
 
 87 
 
 
 
 . 96 
 
 10 
 
 19 
 
 29 
 
 38 
 
 48 
 
 58 
 
 67 
 
 77 
 
 86 
 
 

 
 
 Logarithms of N 
 
 U M B E K S. 
 
 
 
 11 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 458 
 
 66o865 
 
 0960 
 
 io55 
 
 I i5o 
 
 1245 
 
 1339 
 
 1434 
 
 1529 
 
 1623 
 
 1718 
 
 95 
 
 459 
 
 i8i3 
 
 1907 
 
 2002 
 
 2096 
 
 2191 
 
 2286 
 
 238o 
 
 2475 
 
 2569 
 
 2663 
 
 
 460 
 
 2758 
 
 2852 
 
 2947 
 
 3o4i 
 
 3i35 
 
 323o 
 
 3324 
 
 3418 
 
 35i2 
 
 3607 
 
 94 
 
 46i 
 
 3701 
 
 3795 
 
 3889 
 
 3983 
 
 4078 
 
 4172 
 
 4266 
 
 436o 
 
 4454 
 
 4548 
 
 
 462 
 
 4642 
 
 4736 
 
 483o 
 
 4924 
 
 5oi8 
 
 5lI2 
 
 6206 
 
 5299 
 
 5393 
 
 5487 
 
 
 463 
 
 558i 
 
 5675 
 
 5769 
 
 5862 
 
 5956 
 
 6o5o 
 
 6143 
 
 6237 
 
 633i 
 
 6424 
 
 
 464 
 
 65 1 8 
 
 6612 
 
 6705 
 
 6799 
 
 6892 
 
 6986 
 
 7079 
 
 7173 
 
 7266 
 
 7360 
 
 
 465 
 
 7453 
 
 7546 
 
 7640 
 
 7733 
 
 7826 
 
 7920 
 
 8oi3 
 
 8106 
 
 8199 
 
 8293 
 
 93 
 
 466 
 
 8386 
 
 6479 
 
 8572 
 
 8665 
 
 8759 
 
 8852 
 
 8945 
 
 9o38 
 
 9i3i 
 
 9224 
 
 
 467 
 
 9317 
 
 9410 
 
 95o3 
 
 9596 
 
 9689 
 
 9782 
 
 9875 
 
 9967 
 
 ..60 
 
 .i53 
 
 
 468 
 
 670246 
 
 0339 
 
 043 1 
 
 o524 
 
 0617 
 
 0710 
 
 0802 
 
 0895 
 
 0988 
 
 1080 
 
 
 469 
 
 1173 
 
 1265 
 
 i358 
 
 i45i 
 
 1 543 
 
 i636 
 
 1728 
 
 1821 
 
 1913 
 
 2005 
 
 
 470 
 
 2098 
 
 2190 
 
 2283 
 
 2375 
 
 2467 
 
 256o 
 
 2652 
 
 2744 
 
 2836 
 
 2929 
 
 92 
 
 471 
 
 302I 
 
 3ii3 
 
 32o5 
 
 3297 
 
 3390 
 
 3482 
 
 3574 
 
 3666 
 
 3758 
 
 385o 
 
 
 472 
 
 3942 
 
 4o34 
 
 4126 
 
 4218 
 
 43io 
 
 44o2 
 
 4494 
 
 4586 
 
 4677 
 
 4769 
 
 
 473 
 
 486i 
 
 4953 
 
 5o45 
 
 5i37 
 
 5228 
 
 5320 
 
 5412 
 
 55o3 
 
 5595 
 
 5687 
 
 
 474 
 
 5778 
 
 5870 
 
 6962 
 
 6o53 
 
 6i45 
 
 6236 
 
 6328 
 
 6419 
 
 65ii 
 
 6602 
 
 
 475 
 
 6694 
 
 6785 
 
 6876 
 
 6968 
 
 7059 
 
 7i5i 
 
 7242 
 
 7333 
 
 7424 
 
 75i6 
 
 91 
 
 476 
 
 7607 
 
 7698 
 
 7789 
 
 7881 
 
 7972 
 
 8o63 
 
 8i54 
 
 8245 
 
 8336 
 
 8427 
 
 
 477 
 
 85i8 
 
 8609 
 
 8700 
 
 8791 
 
 8882 
 
 8973 
 
 9064 
 
 9155 
 
 9246 
 
 9337 
 
 
 478 
 
 9428 
 
 9619 
 
 9610 
 
 9700 
 
 9791 
 
 9882 
 
 9973 
 
 ..63 
 
 .i54 
 
 .245 
 
 
 479 
 
 68o336 
 
 0426 
 
 o5i7 
 
 0607 
 
 0698 
 
 0789 
 
 0879 
 
 0970 
 
 1060 
 
 ii5i 
 
 
 48o 
 
 1 24 1 
 
 i332 
 
 1422 
 
 i5i3 
 
 i6o3 
 
 1693 
 
 1784 
 
 1874 
 
 1964 
 
 2o55 
 
 90 
 
 48 1 
 
 2 1 45 
 
 2235 
 
 2326 
 
 2416 
 
 25o6 
 
 2596 
 
 2686 
 
 2777 
 
 2867 
 
 2957 
 
 
 482 
 
 3o47 
 
 3i37 
 
 3227 
 
 3317 
 
 3407 
 
 3497 
 
 3587 
 
 3677 
 
 3767 
 
 3857 
 
 
 483 
 
 3947 
 
 4o37 
 
 4127 
 
 4217 
 
 4307 
 
 4396 
 
 4486 
 
 4576 
 
 4666 
 
 4756 
 
 
 484 
 
 4845 
 
 4935 
 
 5o25 
 
 5ii4 
 
 52o4 
 
 5294 
 
 5383 
 
 5473 
 
 5563 
 
 5652 
 
 
 485 
 
 5742 
 
 583i 
 
 5921 
 
 6010 
 
 6100 
 
 6189 
 
 6279 
 
 6368 
 
 6458 
 
 6547 
 
 89 
 
 486 
 
 6636 
 
 6726 
 
 68i5 
 
 6904 
 
 6994 
 
 7083 
 
 7172 
 
 7261 
 
 735i 
 
 7440 
 
 
 487 
 
 7529 
 
 7618 
 
 7707 
 
 7796 
 
 7886 
 
 7975 
 
 8064 
 
 8i53 
 
 8242 
 
 833i 
 
 
 488 
 
 8420 
 
 85o9 
 
 8598 
 
 8687 
 
 8776 
 
 8865 
 
 8953 
 
 9042 
 
 9i3x 
 
 9220 
 
 
 489 
 
 9309 
 
 9398 
 
 9486 
 
 9575 
 
 9664 
 
 9753 
 
 9841 
 
 9930 
 
 ..19 
 
 . 107 
 
 
 490 
 
 690196 
 
 0285 
 
 0373 
 
 0462 
 
 o55o 
 
 0639 
 
 0728 
 
 0816 
 
 0905 
 
 0993 
 
 
 491 
 
 1081 
 
 1170 
 
 1258 
 
 i347 
 
 1435 
 
 i524 
 
 1612 
 
 1700 
 
 1789 
 
 1877 
 
 88 
 
 492 
 
 1965 
 
 2o53 
 
 2142 
 
 223o 
 
 23i8 
 
 2406 
 
 2494 
 
 2583 
 
 2671 
 
 2759 
 
 
 493 
 
 2847 
 
 2935 
 
 3o23 
 
 3i II 
 
 3199 
 
 3287 
 
 3375 
 
 3463 
 
 355i 
 
 3639 
 
 
 494 
 
 3727 
 
 38i5 
 
 3903 
 
 3991 
 
 4078 
 
 4166 
 
 4254 
 
 4342 
 
 443o 
 
 4517 
 
 
 495 
 
 46o5 
 
 4693 
 
 4781 
 
 4868 
 
 4956 
 
 5o44 
 
 5i3i 
 
 5219 
 
 5307 
 
 5394 
 
 
 496 
 
 5482 
 
 5569 
 
 5657 
 
 5744 
 
 5832 
 
 5919 
 
 6007 
 
 6094 
 
 6182 
 
 6269 
 
 87 
 
 497 
 
 6356 
 
 6444 
 
 653i 
 
 6618 
 
 6706 
 
 6793 
 
 6880 
 
 6968 
 
 7055 
 
 7142 
 
 
 498 
 
 7229 
 
 7317 
 
 74o4 
 
 7491 
 
 7578 
 
 7665 
 
 7752 
 
 7839 
 
 7926 
 
 8oi4 
 
 
 499 
 
 8101 
 
 8188 
 
 8275 
 
 8362 
 
 8449 
 
 8535 
 
 8622 
 
 8709 
 
 8796 
 
 8883 
 
 
 5oo 
 
 8970 
 
 9057 
 
 9144 
 
 9231 
 
 9317 
 
 94o4 
 
 9491 
 
 9578 
 
 9664 
 
 975i 
 
 
 5oi 
 
 9838 
 
 9924 
 
 ..II 
 
 ..98 
 
 .184 
 
 .271 
 
 .358 
 
 .444 
 
 .531 
 
 .617 
 
 
 5o2 
 
 700704 
 
 0790 
 
 0877 
 
 0963 
 
 io5o 
 
 1 1 36 
 
 1222 
 
 i3o9 
 
 1395 
 
 1482 
 
 86 
 
 5o3 
 
 i568 
 
 i654 
 
 1741 
 
 1827 
 
 1913 
 
 1999 
 
 2086 
 
 2172 
 
 2258 
 
 2 344 
 
 
 5o4 
 
 243l 
 
 25i7 
 
 26o3 
 
 2689 
 
 2775 
 
 2861 
 
 2947 
 
 3o33 
 
 3119 
 
 32o5 
 
 
 5o5 
 
 3291 
 
 3377 
 
 3463 
 
 3549 
 
 3635 
 
 3721 
 
 3807 
 
 3893 
 
 3979 
 
 4o65 
 
 
 5o6 
 
 4i5i 
 
 4236 
 
 4322 
 
 4408 
 
 4494 
 
 4579 
 
 4665 
 
 4751 
 
 4837 
 
 4922 
 
 
 5o7 
 
 5oo8 
 
 5094 
 
 5i79 
 
 5265 
 
 535o 
 
 5436 
 
 5522 
 
 5607 
 
 5693 
 
 5778 
 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 
 (-95 
 
 ' 10 
 
 19 
 
 29 
 
 38 
 
 48 
 
 57 
 
 67 
 
 76 
 
 86 
 
 
 
 94 i 
 
 9 
 
 19 
 
 28 
 
 38 
 
 47 
 
 56 
 
 66 
 
 75 
 
 85 
 
 
 
 93 S 
 
 9 
 
 19 
 
 28 
 
 37 
 
 47 
 
 56 
 
 65 
 
 74 
 
 84 
 
 
 
 92 ^ 
 
 9 
 
 18 
 
 28 
 
 37 
 
 46 
 
 55 
 
 64 
 
 74 
 
 83 
 
 
 
 
 3 
 
 91 1 
 
 9 
 
 18 
 
 27 
 
 36 
 
 46 
 
 55 
 
 64 
 
 73 
 
 82 
 
 
 
 90 1 1 9 
 
 18 
 
 27 
 
 36 
 
 45 
 
 54 
 
 63 
 
 72 
 
 81 
 
 
 89 S 
 
 9 
 
 18 
 
 27 
 
 36 
 
 45 
 
 53 
 
 62 
 
 71 
 
 80 
 
 
 88 ^ 
 
 9 
 
 18 
 
 26 
 
 35 
 
 44 
 
 53 
 
 62 
 
 70 
 
 79 
 
 
 
 87 ^ 
 
 9 
 
 17 
 
 26 
 
 35 
 
 44 
 
 52 
 
 61 
 
 70 
 
 78 
 
 
 
 86 
 
 I 9 
 
 17 
 
 26 
 
 34 
 
 43 
 
 52 
 
 60 
 
 69 
 
 77 
 
 
12 
 
 
 
 Logarithms of N 
 
 UMBERS. 
 
 
 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 5o8 
 
 7o5864 
 
 5949 
 
 6o35 
 
 6120 
 
 6206 
 
 6291 
 
 6376 
 
 6462 
 
 6547 
 
 6632 
 
 85 
 
 5o9 
 
 6718 
 
 68o3 
 
 6888 
 
 6974 
 
 7059 
 
 7144 
 
 7229 
 
 73i5 
 
 7400 
 
 7485 
 
 
 5io 
 
 7570 
 
 7655 
 
 7740 
 
 7826 
 
 7911 
 
 7996 
 
 8081 
 
 8166 
 
 825i 
 
 8336 
 
 
 5ii 
 
 8421 
 
 85o6 
 
 8591 
 
 8676 
 
 8761 
 
 8846 
 
 8931 
 
 9015 
 
 9100 
 
 9185 
 
 
 5l2 
 
 9270 
 
 9355 
 
 9440 
 
 9524 
 
 9609 
 
 9694 
 
 9779 
 
 9863 
 
 9948 
 
 ..33 
 
 
 5i3 
 
 7101 17 
 
 0202 
 
 0287 
 
 0371 
 
 o456 
 
 o54o 
 
 0625 
 
 0710 
 
 0794 
 
 0879 
 
 
 5i4 
 
 0963 
 
 io48 
 
 Il32 
 
 1217 
 
 i3oi 
 
 i385 
 
 1470 
 
 1 554 
 
 1639 
 
 1723 
 
 84 
 
 5i5 
 
 1807 
 
 1892 
 
 1976 
 
 2060 
 
 2i44 
 
 2229 
 
 23i3 
 
 2397 
 
 2481 
 
 2566 
 
 
 5i6 
 
 265o 
 
 2734 
 
 2818 
 
 2902 
 
 2986 
 
 3070 
 
 3i54 
 
 3238 
 
 3323 
 
 3407 
 
 
 5i7 
 
 3491 
 
 3575 
 
 3659 
 
 3742 
 
 3826 
 
 3910 
 
 3994 
 
 4078 
 
 4162 
 
 4246 
 
 
 5i8 
 
 433o 
 
 44i4 
 
 4497 
 
 458 1 
 
 4665 
 
 4749 
 
 4833 
 
 4916 
 
 5ooo 
 
 5o84 
 
 
 619 
 
 5167 
 
 525i 
 
 5335 
 
 5418 
 
 55o2 
 
 5586 
 
 5669 
 
 5753 
 
 5836 
 
 5920 
 
 
 520 
 
 6oo3 
 
 6087 
 
 6170 
 
 6254 
 
 6337 
 
 6421 
 
 65o4 
 
 6588 
 
 6671 
 
 6754 
 
 83 
 
 521 
 
 6838 
 
 6921 
 
 7004 
 
 7088 
 
 7171 
 
 7254 
 
 7338 
 
 7421 
 
 75o4 
 
 7587 
 
 
 522 
 
 7671 
 
 7754 
 
 7837 
 
 7920 
 
 8oo3 
 
 8086 
 
 8169 
 
 8253 
 
 8336 
 
 8419 
 
 
 523 
 
 85o2 
 
 8585 
 
 8668 
 
 8751 
 
 8834 
 
 8917 
 
 9000 
 
 9083 
 
 9165 
 
 9248 
 
 
 524 
 
 933i 
 
 94i4 
 
 9497 
 
 9580 
 
 9663 
 
 9745 
 
 9828 
 
 9911 
 
 9994 
 
 ••77 
 
 
 525 
 
 720159 
 
 0242 
 
 o325 
 
 0407 
 
 0490 
 
 0573 
 
 o655 
 
 0738 
 
 0821 
 
 0903 
 
 
 526 
 
 0986 
 
 1068 
 
 ii5i 
 
 1233 
 
 i3i6 
 
 1398 
 
 i48i 
 
 i563 
 
 1 646 
 
 1728 
 
 82 
 
 527 
 
 1811 
 
 1893 
 
 1975 
 
 2o58 
 
 2l4o 
 
 2222 
 
 23o5 
 
 2387 
 
 2469 
 
 2552 
 
 
 528 
 
 2634 
 
 2716 
 
 2798 
 
 2881 
 
 2963 
 
 3o45 
 
 3127 
 
 3209 
 
 3291 
 
 3374 
 
 
 529 
 
 3456 
 
 3538 
 
 3620 
 
 3702 
 
 3784 
 
 3866 
 
 3948 
 
 4o3o 
 
 4lI2 
 
 4194 
 
 
 53o 
 
 4276 
 
 4358 
 
 4440 
 
 4522 
 
 46o4 
 
 4685 
 
 4767 
 
 4849 
 
 4931 
 
 5oi3 
 
 
 53i 
 
 5095 
 
 5176 
 
 5258 
 
 5340 
 
 5422 
 
 55o3 
 
 5585 
 
 5667 
 
 5748 
 
 583o 
 
 
 532 
 
 5912 
 
 5993 
 
 6075 
 
 6i56 
 
 6238 
 
 6320 
 
 6401 
 
 6483 
 
 6564 
 
 6646 
 
 
 533 
 
 6727 
 
 6809 
 
 6890 
 
 6972 
 
 7053 
 
 7134 
 
 7216 
 
 7297 
 
 7379 
 
 7460 
 
 81 
 
 534 
 
 7541 
 
 7623 
 
 7704 
 
 7785 
 
 7866 
 
 7948 
 
 8029 
 
 8110 
 
 8191 
 
 8273 
 
 
 535 
 
 8354 
 
 8435 
 
 85i6 
 
 8597 
 
 8678 
 
 8759 
 
 884i 
 
 8922 
 
 9003 
 
 9084 
 
 
 536 
 
 9165 
 
 9246 
 
 9327 
 
 9408 
 
 9489 
 
 9570 
 
 965i 
 
 9732 
 
 9813 
 
 9893 
 
 
 537 
 
 9974 
 
 ..55 
 
 .136 
 
 .217 
 
 .298 
 
 .378 
 
 .459 
 
 .540 
 
 .621 
 
 . 702 
 
 
 538 
 
 730782 
 
 o863 
 
 0944 
 
 1024 
 
 iio5 
 
 1186 
 
 1266 
 
 i347 
 
 1428 
 
 i5o8 
 
 
 539 
 
 1589 
 
 1669 
 
 1750 
 
 i83o 
 
 1911 
 
 1991 
 
 2072 
 
 2l52 
 
 2233 
 
 23i3 
 
 
 54o 
 
 2394 
 
 2474 
 
 2555 
 
 2635 
 
 2715 
 
 2796 
 
 2876 
 
 2956 
 
 3o37 
 
 3ii7 
 
 80 
 
 54i 
 
 3197 
 
 3278 
 
 3358 
 
 3438 
 
 35i8 
 
 3598 
 
 3679 
 
 3759 
 
 3839 
 
 3919 
 
 
 542 
 
 3999 
 
 4079 
 
 4i6o 
 
 4240 
 
 4320 
 
 44oo 
 
 4480 
 
 456o 
 
 464o 
 
 4720 
 
 
 543 
 
 4800 
 
 488o 
 
 4960 
 
 5o4o 
 
 5l20 
 
 5200 
 
 5279 
 
 5359 
 
 5439 
 
 5519 
 
 
 544 
 
 5599 
 
 5679 
 
 5759 
 
 5838 
 
 5918 
 
 5998 
 
 6078 
 
 6157 
 
 6237 
 
 63i7 
 
 
 545 
 
 6397 
 
 6476 
 
 6556 
 
 6635 
 
 6715 
 
 6795 
 
 6874 
 
 6954 
 
 7034 
 
 7113 
 
 
 546 
 
 7193 
 
 7272 
 
 7352 
 
 743i 
 
 75ii 
 
 7590 
 
 7670 
 
 7749 
 
 7829 
 
 7908 
 
 79 
 
 547 
 
 7987 
 
 8067 
 
 8i46 
 
 8225 
 
 83o5 
 
 8384 
 
 8463 
 
 8543 
 
 8622 
 
 8701 
 
 
 548 
 
 8781 
 
 8860 
 
 8939 
 
 9018 
 
 9097 
 
 9177 
 
 9256 
 
 9335 
 
 94i4 
 
 9493 
 
 
 549 
 
 9572 
 
 9651 
 
 973i 
 
 9810 
 
 9889 
 
 9968 
 
 ..47 
 
 . 126 
 
 .2o5 
 
 .284 
 
 
 55o 
 
 74o363 
 
 0442 
 
 o52I 
 
 0600 
 
 0678 
 
 0757 
 
 o836 
 
 0915 
 
 0994 
 
 1073 
 
 
 55i 
 
 Il52 
 
 I23o 
 
 1 309 
 
 i388 
 
 1467 
 
 1 546 
 
 1624 
 
 1703 
 
 1782 
 
 i860 
 
 
 552 
 
 1939 
 
 2018 
 
 2096 
 
 2175 
 
 2254 
 
 2332 
 
 2411 
 
 2489 
 
 2568 
 
 2647 
 
 
 553 
 
 2725 
 
 2804 
 
 2882 
 
 2961 
 
 3o39 
 
 3ii8 
 
 3196 
 
 3275 
 
 3353 
 
 343i 
 
 78 
 
 554 
 
 35io 
 
 3588 
 
 3667 
 
 3745 
 
 3823 
 
 3go2 
 
 3980 
 
 4o58 
 
 4i36 
 
 42i5 
 
 
 555 
 
 4293 
 
 4371 
 
 4449 
 
 4528 
 
 46o6 
 
 4684 
 
 4762 
 
 484o 
 
 4919 
 
 4997 
 
 
 556 
 
 5075 
 
 5i53 
 
 523i 
 
 5309 
 
 5387 
 
 5465 
 
 5543 
 
 5621 
 
 5699 
 
 5777 
 
 
 557 
 
 5855 
 
 5933 
 
 601 1 
 
 6089 
 
 6167 
 
 6245 
 
 6323 
 
 64oi 
 
 6479 
 
 6556 
 
 
 558 
 
 6634 
 
 6712 
 
 6790 
 
 6868 
 
 6945 
 
 7023 
 
 7101 
 
 7179 
 
 7256 
 
 7334 
 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 V 
 
 8 
 
 9 
 
 D. 
 
 
 ' 86 ^ 
 
 9 
 
 17 
 
 26 
 
 34 
 
 43 
 
 52 
 
 60 
 
 69 
 
 77 
 
 
 
 85 -2 
 
 9 
 
 17 
 
 26 
 
 34 
 
 43 
 
 5i 
 
 60 
 
 68 
 
 77 
 
 
 m 
 
 84 fS 
 
 8 
 
 17 
 
 25 
 
 34 
 
 42 
 
 5o 
 
 59 
 
 67 
 
 76 
 
 
 « 
 
 
 83^ 
 
 8 
 
 17 
 
 25 
 
 33 
 
 42 
 
 5o 
 
 58 
 
 66 
 
 75 
 
 
 2 - 
 
 82 % . 
 
 8 
 
 16 
 
 25 
 
 33 
 
 4i 
 
 49 
 
 57 
 
 66 
 
 74 
 
 
 43 
 
 81 -^ 
 
 8 
 
 16 
 
 24 
 
 32 
 
 4i 
 
 49 
 
 57 
 
 65 
 
 73 
 
 
 Q 
 
 80 §, 
 
 8 
 
 16 
 
 24 
 
 32 
 
 4o 
 
 48 
 
 56 
 
 64 
 
 72 
 
 
 
 79 2 
 
 8 
 
 16 
 
 24 
 
 32 
 
 4o 
 
 47 
 
 55 
 
 63 
 
 71 
 
 
 
 . 78 '^ 
 
 8 
 
 16 
 
 23 
 
 3i 
 
 39 
 
 47 
 
 55 
 
 62 
 
 70 
 
 

 
 
 Logarithms of N 
 
 UMBERS. 
 
 
 
 13 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 559 
 
 747412 
 
 7489 
 
 7567 
 
 7645 
 
 7722 
 
 7800 
 
 7878 
 
 7955 
 
 8o33 
 
 8110 
 
 78 
 
 56o 
 
 8188 
 
 8266 
 
 8343 
 
 8421 
 
 8498 
 
 8576 
 
 8653 
 
 8731 
 
 8808 
 
 8885 
 
 77 
 
 56i 
 
 8963 
 
 9040 
 
 9118 
 
 9195 
 
 9272 
 
 9350 
 
 9427 
 
 95o4 
 
 9582 
 
 9659 
 
 
 562 
 
 9736 
 
 9814 
 
 9891 
 
 9968 
 
 ..45 
 
 .123 
 
 .200 
 
 .277 
 
 .354 
 
 .43i 
 
 
 563 
 
 75o5o8 
 
 o586 
 
 o663 
 
 0740 
 
 0817 
 
 0894 
 
 0971 
 
 io48 
 
 II25 
 
 1202 
 
 
 564 
 
 1279 
 
 i356 
 
 1433 
 
 i5io 
 
 i587 
 
 i664 
 
 1741 
 
 1818 
 
 1895 
 
 1972 
 
 
 565 
 
 2048 
 
 2125 
 
 2202 
 
 2279 
 
 2356 
 
 2433 
 
 2509 
 
 2586 
 
 2663 
 
 2740 
 
 
 566 
 
 2816 
 
 2893 
 
 2970 
 
 3o47 
 
 3i2'3 
 
 3200 
 
 3277 
 
 3353 
 
 343o 
 
 35o6 
 
 
 567 
 
 3583 
 
 366o 
 
 3736 
 
 38i3 
 
 3889 
 
 3966 
 
 4o42 
 
 4119 
 
 4195 
 
 4272 
 
 
 568 
 
 4348 
 
 4425 
 
 45oi 
 
 4578 
 
 4654 
 
 4730 
 
 4807 
 
 4883 
 
 4960 
 
 5o36 
 
 76 
 
 569 
 
 5l 12 
 
 5189 
 
 5265 
 
 5341 
 
 5417 
 
 5494 
 
 5570 
 
 5646 
 
 5722 
 
 5799 
 
 
 570 
 
 5875 
 
 5951 
 
 6027 
 
 6io3 
 
 6180 
 
 6256 
 
 6332 
 
 64o8 
 
 6484 
 
 656o 
 
 
 571 
 
 6636 
 
 6712 
 
 6788 
 
 6864 
 
 6940 
 
 7016 
 
 7092 
 
 7168 
 
 7244 
 
 7320 
 
 
 572 
 
 7396 
 
 7472 
 
 7548 
 
 7624 
 
 7700 
 
 7775 
 
 785i 
 
 7927 
 
 8oo3 
 
 8079 
 
 
 573 
 
 8i55 
 
 823o 
 
 83o6 
 
 8382 
 
 8458 
 
 8533 
 
 8609 
 
 8685 
 
 8761 
 
 8836 
 
 
 574 
 
 8912 
 
 8988 
 
 9063 
 
 9139 
 
 9214 
 
 9290 
 
 9366 
 
 9441 
 
 9517 
 
 9592 
 
 
 575 
 
 9668 
 
 9743 
 
 9819 
 
 9894 
 
 9970 
 
 ..45 
 
 . 121 
 
 . 196 
 
 .272 
 
 .347 
 
 75 
 
 576 
 
 760422 
 
 0498 
 
 0573 
 
 0649 
 
 0724 
 
 0799 
 
 0875 
 
 0950 
 
 1025 
 
 IIOI 
 
 
 577 
 
 1 176 
 
 I25l 
 
 i326 
 
 l402 
 
 1477 
 
 i552 
 
 1627 
 
 1702 
 
 1778 
 
 i853 
 
 
 578 
 
 1928 
 
 2003 
 
 2078 
 
 2i53 
 
 2228 
 
 23o3 
 
 2378 
 
 2453 
 
 2529 
 
 2604 
 
 
 579 
 
 2679 
 
 2754 
 
 2829 
 
 2904 
 
 2978 
 
 3o53 
 
 3/28 
 
 32o3 
 
 3278 
 
 3353 
 
 
 58o 
 
 3428 
 
 35o3 
 
 3578 
 
 3653 
 
 3727 
 
 38o2 
 
 3877 
 
 3952 
 
 4027 
 
 4ioi 
 
 
 58i 
 
 4176 
 
 425i 
 
 4326 
 
 44oo 
 
 4475 
 
 455o 
 
 4624 
 
 4699 
 
 4774 
 
 4848 
 
 
 582 
 
 4923 
 
 4998 
 
 5072 
 
 5i47 
 
 5221 
 
 5296 
 
 5370 
 
 5445 
 
 5520 
 
 5594 
 
 
 583 
 
 5669 
 
 5743 
 
 58i8 
 
 5892 
 
 5966 
 
 6o4i 
 
 6ii5 
 
 6190 
 
 6264 
 
 6338 
 
 74 
 
 584 
 
 64i3 
 
 6487 
 
 6562 
 
 6636 
 
 6710 
 
 6785 
 
 6859 
 
 6933 
 
 7007 
 
 7082 
 
 
 585 
 
 7i56 
 
 723o 
 
 73o4 
 
 7379 
 
 7453 
 
 7527 
 
 7601 
 
 7675 
 
 7749 
 
 7823 
 
 
 586 
 
 7898 
 
 7972 
 
 8o46 
 
 8120 
 
 8194 
 
 8268 
 
 8342 
 
 84i6 
 
 8490 
 
 8564 
 
 
 587 
 
 8638 
 
 8712 
 
 8786 
 
 8860 
 
 8934 
 
 9008 
 
 9082 
 
 9i56 
 
 923o 
 
 93o3 
 
 
 588 
 
 9377 
 
 945 1 
 
 9525 
 
 9599 
 
 9673 
 
 9746 
 
 9820 
 
 9894 
 
 9968 
 
 ..42 
 
 
 589 
 
 770115 
 
 0189 
 
 0263 
 
 o336 
 
 o4io 
 
 o484 
 
 0557 
 
 o63i 
 
 0705 
 
 0778 
 
 
 590 
 
 o852 
 
 0926 
 
 0999 
 
 1073 
 
 ii46 
 
 1220 
 
 1293 
 
 i367 
 
 i44o 
 
 i5i4 
 
 
 591 
 
 i587 
 
 1661 
 
 1734 
 
 1808 
 
 1881 
 
 1955 
 
 2028 
 
 2102 
 
 2175 
 
 2248 
 
 73 
 
 592 
 
 2322 
 
 2395 
 
 2468 
 
 2542 
 
 2615 
 
 2688 
 
 2762 
 
 2835 
 
 2908 
 
 2981 
 
 
 593 
 
 3o55 
 
 3i28 
 
 320I 
 
 3274 
 
 3348 
 
 3421 
 
 3494 
 
 3567 
 
 364o 
 
 3713 
 
 
 594 
 
 3786 
 
 386o 
 
 3933 
 
 4oo6 
 
 4079 
 
 4i52 
 
 4225 
 
 4298 
 
 4371 
 
 4444 
 
 
 595 
 
 45i7 
 
 4590 
 
 4663 
 
 4736 
 
 4809 
 
 4882 
 
 4955 
 
 5028 
 
 5 1 00 
 
 5173 
 
 
 596 
 
 5246 
 
 5319 
 
 5392 
 
 5465 
 
 5538 
 
 56io 
 
 5683 
 
 5756 
 
 5829 
 
 5902 
 
 
 597 
 
 5974 
 
 6047 
 
 6120 
 
 6193 
 
 6265 
 
 6338 
 
 64ii 
 
 6483 
 
 6556 
 
 6629 
 
 
 598 
 
 6701 
 
 6774 
 
 6846 
 
 6919 
 
 6992 
 
 7064 
 
 7137 
 
 7209 
 
 7282 
 
 7354 
 
 
 599 
 
 7427 
 
 7499 
 
 7572 
 
 7644 
 
 7717 
 
 7789 
 
 7862 
 
 7934 
 
 8006 
 
 8079 
 
 72 
 
 600 
 
 8i5i 
 
 8224 
 
 8296 
 
 8368 
 
 844i 
 
 85i3 
 
 8585 
 
 8658 
 
 8730 
 
 8802 
 
 
 601 
 
 8874 
 
 8947 
 
 9019 
 
 9091 
 
 9163 
 
 9236 
 
 9308 
 
 9380 
 
 9452 
 
 9524 
 
 
 602 
 
 9596 
 
 9669 
 
 9741 
 
 9813 
 
 9885 
 
 9957 
 
 ..29 
 
 . 101 
 
 .173 
 
 .245 
 
 
 6o3 
 
 780317 
 
 0389 
 
 o46i 
 
 o533 
 
 o6o5 
 
 0677 
 
 0749 
 
 0821 
 
 0893 
 
 0965 
 
 
 6o4 
 
 1037 
 
 1 109 
 
 1181 
 
 1253 
 
 l324 
 
 1396 
 
 i468 
 
 i54o 
 
 1612 
 
 1 684 
 
 
 6o5 
 
 1755 
 
 1827 
 
 1899 
 
 1971 
 
 2042 
 
 2Il4 
 
 2186 
 
 2258 
 
 2329 
 
 240 1 
 
 
 606 
 
 2473 
 
 2544 
 
 2616 
 
 2688 
 
 2759 
 
 283i 
 
 2902 
 
 2974 
 
 3o46 
 
 3117 
 
 
 607 
 
 3189 
 
 3260 
 
 3332 
 
 34o3 
 
 3475 
 
 3546 
 
 36i8 
 
 3689 
 
 3761 
 
 3832 
 
 71 
 
 608 
 
 3904 
 
 3975 
 
 4o46 
 
 4ii8 
 
 4189 
 
 4261 
 
 4332 
 
 44o3 
 
 4475 
 
 4546 
 
 
 609 
 
 4617 
 
 4689 
 
 4760 
 
 483i 
 
 4902 
 
 4974 
 
 5o45 
 
 5ii6 
 
 5187 
 
 5259 
 
 
 610 
 
 533o 
 
 5401 
 
 5472 
 
 5543 
 
 56i5 
 
 5686 
 
 5757 
 
 5828 
 
 5899 
 
 5970 
 
 
 611 
 
 6o4i 
 
 61 12 
 
 6i83 
 
 6254 
 
 6325 
 
 6396 
 
 6467 
 
 6538 
 
 6609 
 
 6680 
 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 6 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 
 '77 CO 
 
 r 8 
 
 i5 
 
 23 
 
 3i 
 
 39 
 
 46 
 
 54 
 
 62 
 
 69 
 
 
 4J 
 
 76 -s 
 
 8 
 
 i5 
 
 23 
 
 3o 
 
 38 
 
 46 
 
 53 
 
 61 
 
 68 
 
 
 
 
 3 
 
 75 (2 
 
 8 
 
 i5 
 
 23 
 
 3o 
 
 38 
 
 45 
 
 53 
 
 60 
 
 68 
 
 
 
 74 ^ < 
 
 7 
 
 i5 
 
 22 
 
 3o 
 
 37 
 
 44 
 
 52 
 
 59 
 
 67 
 
 
 
 73 a 
 
 7 
 
 i5 
 
 22 
 
 29 
 
 37 
 
 44 
 
 5i 
 
 58 
 
 66 
 
 
 Q 
 
 72 2 
 
 7 
 
 i4 
 
 22 
 
 29 
 
 36 
 
 43 
 
 5o 
 
 58 
 
 65 
 
 
 
 yi ^ 
 
 . 7 
 
 i4 
 
 21 
 
 28 
 
 36 
 
 43 
 
 5o 
 
 57 
 
 64 
 
 
14 
 
 
 
 Logarithms ( 
 
 3F N 
 
 UMBERS. 
 
 
 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 612 
 
 786751 
 
 6822 
 
 6893 
 
 6964 
 
 7035 
 
 7106 
 
 7177 
 
 7248 
 
 7319 
 
 7390 
 
 71 
 
 6i3 
 
 7460 
 
 7531 
 
 7602 
 
 7673 
 
 7744 
 
 7815 
 
 7885 
 
 7956 
 
 8027 
 
 8098 
 
 
 6i4 
 
 8i68 
 
 8239 
 
 83io 
 
 838i 
 
 845 1 
 
 8522 
 
 8593 
 
 8663 
 
 8734 
 
 8804 
 
 
 6i5 
 
 8875 
 
 8946 
 
 9016 
 
 9087 
 
 9157 
 
 9228 
 
 9299 
 
 9369 
 
 9440 
 
 9510 
 
 
 6i6 
 
 9581 
 
 965 1 
 
 9722 
 
 9792 
 
 9863 
 
 9933 
 
 ...4 
 
 ..74 
 
 .144 
 
 .2l5 
 
 70 
 
 617 
 
 790285 
 
 o356 
 
 0426 
 
 0496 
 
 o567 
 
 0637 
 
 0707 
 
 0778 
 
 o848 
 
 0918 
 
 
 618 
 
 0988 
 
 loSg 
 
 1129 
 
 1199 
 
 1269 
 
 i34o 
 
 i4io 
 
 i48o 
 
 i55o 
 
 1620 
 
 
 619 
 
 1691 
 
 1761 
 
 i83i 
 
 1901 
 
 1971 
 
 204l 
 
 2111 
 
 2181 
 
 2252 
 
 2322 
 
 
 620 
 
 2392 
 
 l!:^^i 
 
 2532 
 
 2602 
 
 2672 
 
 2742 
 
 2812 
 
 2882 
 
 2952 
 
 3022 
 
 
 621 
 
 3092 
 
 3162 
 
 323i 
 
 33oi 
 
 3371 
 
 3441 
 
 35ii 
 
 358i 
 
 365i 
 
 3721 
 
 
 622 
 
 3790 
 
 386o 
 
 3930 
 
 4ooo 
 
 4070 
 
 4i39 
 
 4209 
 
 4279 
 
 4349 
 
 44i8 
 
 
 623 
 
 4488 
 
 4558 
 
 4627 
 
 4697 
 
 4767 
 
 4836 
 
 4906 
 
 4976 
 
 5o45 
 
 5ii5 
 
 
 624 
 
 5i85 
 
 5254 
 
 5324 
 
 5393 
 
 5463 
 
 5532 
 
 56o2 
 
 5672 
 
 5741 
 
 58ii 
 
 
 625 
 
 588o 
 
 5949 
 
 6019 
 
 6088 
 
 6i58 
 
 6227 
 
 6297 
 
 6366 
 
 6436 
 
 65o5 
 
 69 
 
 626 
 
 6574 
 
 6644 
 
 6713 
 
 6782 
 
 6852 
 
 6921 
 
 6990 
 
 7060 
 
 7129 
 
 7198 
 
 
 627 
 
 7268 
 
 7337 
 
 74o6 
 
 7475 
 
 7545 
 
 7614 
 
 7683 
 
 7752 
 
 7821 
 
 7890 
 
 
 628 
 
 7960 
 
 8029 
 
 8098 
 
 8167 
 
 8236 
 
 83o5 
 
 8374 
 
 8443 
 
 85i3 
 
 8582 
 
 
 629 
 
 865i 
 
 8720 
 
 8789 
 
 8858 
 
 8927 
 
 8996 
 
 9065 
 
 9134 
 
 9203 
 
 9272 
 
 
 63o 
 
 9341 
 
 9409 
 
 9478 
 
 9547 
 
 9616 
 
 9685 
 
 9754 
 
 9823 
 
 9892 
 
 9961 
 
 
 63i 
 
 800029 
 
 0098 
 
 0167 
 
 0236 
 
 o3o5 
 
 0373 
 
 0442 
 
 o5ii 
 
 o58o 
 
 o648 
 
 
 632 
 
 0717 
 
 0786 
 
 0854 
 
 0923 
 
 0992 
 
 1 06 1 
 
 1129 
 
 1198 
 
 1266 
 
 i335 
 
 
 633 
 
 i4o4 
 
 1472 
 
 i54r 
 
 1609 
 
 1678 
 
 1747 
 
 i8i5 
 
 1 884 
 
 1952 
 
 2021 
 
 
 634 
 
 2089 
 
 2i58 
 
 2226 
 
 2295 
 
 2363 
 
 2432 
 
 25oo 
 
 2568 
 
 2637 
 
 2705 
 
 
 635 
 
 2774 
 
 2842 
 
 2910 
 
 2979 
 
 3o47 
 
 3ii6 
 
 3i84 
 
 3252 
 
 3321 
 
 3389 
 
 68 
 
 636 
 
 3457 
 
 3525 
 
 3594 
 
 3662 
 
 3730 
 
 3798 
 
 3867 
 
 3935 
 
 4oo3 
 
 4071 
 
 
 637 
 
 4i39 
 
 4208 
 
 4276 
 
 4344 
 
 44i2 
 
 4480 
 
 4548 
 
 4616 
 
 4685 
 
 4753 
 
 
 638 
 
 4821 
 
 4889 
 
 4957 
 
 5o25 
 
 5093 
 
 5i6i 
 
 5229 
 
 5297 
 
 5365 
 
 5433 
 
 
 639 
 
 55oi 
 
 5569 
 
 5637 
 
 5705 
 
 5773 
 
 584i 
 
 5908 
 
 5976 
 
 6044 
 
 6112 
 
 
 64o 
 
 6180 
 
 6248 
 
 63i6 
 
 6384 
 
 645 1 
 
 65i9 
 
 6587 
 
 6655 
 
 6723 
 
 6790 
 
 
 64i 
 
 6858 
 
 6926 
 
 6994 
 
 7061 
 
 7129 
 
 7197 
 
 7264 
 
 7332 
 
 7400 
 
 7467 
 
 
 642 
 
 7535 
 
 7603 
 
 7670 
 
 7738 
 
 7806 
 
 7873 
 
 7941 
 
 8008 
 
 8076 
 
 8143 
 
 
 643 
 
 8211 
 
 8279 
 
 8346 
 
 84i4 
 
 848 1 
 
 8549 
 
 8616 
 
 8684 
 
 8751 
 
 8818 
 
 67 
 
 644 
 
 8886 
 
 8953 
 
 9021 
 
 9088 
 
 9i56 
 
 9223 
 
 9290 
 
 9358 
 
 9425 
 
 9492 
 
 
 645 
 
 9560 
 
 9627 
 
 9694 
 
 9762 
 
 9829 
 
 9896 
 
 9964 
 
 ..3i 
 
 ..98 
 
 .i65 
 
 
 646 
 
 810233 
 
 o3oo 
 
 0367 
 
 0434 
 
 o5oi 
 
 0569 
 
 o636 
 
 0703 
 
 0770 
 
 0837 
 
 
 647 
 
 0904 
 
 0971 
 
 1039 
 
 1106 
 
 1173 
 
 1240 
 
 1 307 
 
 1374 
 
 1 44 1 
 
 i5o8 
 
 
 648 
 
 1575 
 
 1642 
 
 1709 
 
 1776 
 
 1843 
 
 1910 
 
 1977 
 
 2o44 
 
 21 II 
 
 2178 
 
 
 649 
 
 2245 
 
 23l2 
 
 2379 
 
 2445 
 
 25l2 
 
 2579 
 
 2646 
 
 2713 
 
 2780 
 
 2847 
 
 
 65o 
 
 2913 
 
 2980 
 
 3o47 
 
 3ii4 
 
 3i8i 
 
 3247 
 
 33i4 
 
 338i 
 
 3448 
 
 35i4 
 
 
 65i 
 
 358i 
 
 3648 
 
 3714 
 
 3781 
 
 3848 
 
 3914 
 
 3981 
 
 4o48 
 
 4ii4 
 
 4i8i 
 
 
 652 
 
 4248 
 
 43i4 
 
 438i 
 
 4447 
 
 45i4 
 
 458i 
 
 4647 
 
 4714 
 
 4780 
 
 4847 
 
 
 653 
 
 4913 
 
 4980 
 
 5o46 
 
 5ii3 
 
 5i79 
 
 5246 
 
 53i2 
 
 5378 
 
 5445 
 
 55ii 
 
 66 
 
 654 
 
 5578 
 
 5644 
 
 5711 
 
 5777 
 
 5843 
 
 Sgio 
 
 5976 
 
 6042 
 
 6109 
 
 6175 
 
 
 655 
 
 6241 
 
 63o8 
 
 6374 
 
 644o 
 
 65o6 
 
 6573 
 
 6639 
 
 6705 
 
 6771 
 
 6838 
 
 
 656 
 
 6904 
 
 6970 
 
 7o36 
 
 7102 
 
 7169 
 
 7235 
 
 7301 
 
 7367 
 
 7433 
 
 7499 
 
 
 657 
 
 7565 
 
 763i 
 
 7698 
 
 7764 
 
 783o 
 
 7896 
 
 7962 
 
 8028 
 
 8094 
 
 8160 
 
 
 658 
 
 8226 
 
 8292 
 
 8358 
 
 8424 
 
 8490 
 
 8556 
 
 8622 
 
 8688 
 
 8754 
 
 8820 
 
 
 659 
 
 8885 
 
 8951 
 
 9017 
 
 9083 
 
 9149 
 
 9215 
 
 9281 
 
 9346 
 
 9412 
 
 9478 
 
 
 660 
 
 9544 
 
 9610 
 
 9676 
 
 9741 
 
 9807 
 
 9873 
 
 9939 
 
 ...4 
 
 ..70 
 
 .i36 
 
 
 661 
 
 820201 
 
 0267 
 
 o333 
 
 0399 
 
 o464 
 
 o53o 
 
 0695 
 
 0661 
 
 0727 
 
 0792 
 
 
 662 
 
 o858 
 
 0924 
 
 0989 
 
 io55 
 
 1120 
 
 1186 
 
 I25l 
 
 i3i7 
 
 i382 
 
 i448 
 
 
 663 
 
 t5i4 
 
 1579 
 
 1645 
 
 1710 
 
 1775 
 
 i84i 
 
 1906 
 
 1972 
 
 2037 
 
 2io3 
 
 65 
 
 664 
 
 2168 
 
 2233 
 
 2299 
 
 2364 
 
 243o 
 
 2495 
 
 256o 
 
 2626 
 
 2691 
 
 2756 
 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 
 '71 A 
 
 7 
 
 i4 
 
 21 
 
 28 
 
 36 
 
 43 
 
 5o 
 
 57 
 
 64 
 
 
 00 
 
 
 
 70 -£ 
 
 7 
 
 i4 
 
 21 
 
 28 
 
 35 
 
 42 
 
 49 
 
 56 
 
 63 
 
 
 
 
 3 
 
 69 ^ 
 
 7 
 
 i4 
 
 21 
 
 28 
 
 35 
 
 4i 
 
 48 
 
 55 
 
 62 
 
 
 £ J 
 
 68 ^ 
 
 7 
 
 i4 
 
 20 
 
 27 
 
 34 
 
 4i 
 
 48 
 
 54 
 
 61 
 
 
 ^ 
 
 67 a 
 
 7 
 
 i3 
 
 20 
 
 27 
 
 34 
 
 4o 
 
 47 
 
 54 
 
 60 
 
 
 Q 
 
 66 2 
 
 7 
 
 i3 
 
 20 
 
 26 
 
 33 
 
 4o 
 
 46 
 
 53 
 
 59 
 
 
 
 65 ^ 
 
 , 7 
 
 i3 
 
 20 
 
 26 
 
 33 
 
 39 
 
 46 
 
 52 
 
 59 
 
 

 
 
 Logarithms of N 
 
 UMBERS. 
 
 
 
 15 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 I). 
 
 665 
 
 822822 
 
 2887 
 
 2952 
 
 3oi8 
 
 3o83 
 
 3i48 
 
 32i3 
 
 3279 
 
 3344 
 
 3409 
 
 65 
 
 666 
 
 3474 
 
 3539 
 
 36o5 
 
 3670 
 
 3735 
 
 38oo 
 
 3865 
 
 3930 
 
 3996 
 
 4o6i 
 
 
 667 
 
 4126 
 
 4191 
 
 4256 
 
 4321 
 
 4386 
 
 445 1 
 
 45i6 
 
 458i 
 
 4646 
 
 4711 
 
 
 668 
 
 4776 
 
 484i 
 
 4906 
 
 4971 
 
 5o36 
 
 5ioi 
 
 5i66 
 
 523i 
 
 5296 
 
 536i 
 
 
 669 
 
 5426 
 
 5491 
 
 5556 
 
 5621 
 
 5686 
 
 5751 
 
 58i5 
 
 588o 
 
 5945 
 
 6010 
 
 
 7 
 
 670 
 
 6075 
 
 6i4o 
 
 6204 
 
 6269 
 
 6334 
 
 6399 
 
 6464 
 
 6528 
 
 6593 
 
 6658 
 
 
 671 
 
 6723 
 
 6787 
 
 6852 
 
 6917 
 
 6981 
 
 7046 
 
 711 1 
 
 7175 
 
 7240 
 
 73o5 
 
 
 672 
 
 7369 
 
 7434 
 
 7499 
 
 7563 
 
 7628 
 
 7692 
 
 7757 
 
 7821 
 
 7886 
 
 7951 
 
 
 673 
 
 8oi5 
 
 8080 
 
 8i44 
 
 8209 
 
 8273 
 
 8338 
 
 8402 
 
 8467 
 
 853i 
 
 8595 
 
 64 
 
 674 
 
 8660 
 
 8724 
 
 8789 
 
 8853 
 
 8918 
 
 8982 
 
 9046 
 
 9111 
 
 9175 
 
 9239 
 
 
 675 
 
 93o4 
 
 9368 
 
 9432 
 
 9497 
 
 9561 
 
 9625 
 
 9690 
 
 9754 
 
 9818 
 
 9882 
 
 
 676 
 
 9947 
 
 ..II 
 
 ..75 
 
 . 139 
 
 .204 
 
 .268 
 
 .332 
 
 .396 
 
 .460 
 
 .525 
 
 
 677 
 
 83o589 
 
 o653 
 
 0717 
 
 0781 
 
 0845 
 
 0909 
 
 0973 
 
 1037 
 
 1 102 
 
 1166 
 
 
 67S 
 
 I23o 
 
 1294 
 
 i358 
 
 r422 
 
 i486 
 
 i55o 
 
 i6i4 
 
 1678 
 
 1742 
 
 1806 
 
 
 679 
 
 1870 
 
 1934 
 
 1998 
 
 2062 
 
 2126 
 
 2189 
 
 2253 
 
 23i7 
 
 238i 
 
 2445 
 
 
 680 
 
 2509 
 
 2573 
 
 2637 
 
 2700 
 
 2764 
 
 2828 
 
 2892 
 
 2956 
 
 3020 
 
 3o83 
 
 
 681 
 
 3i47 
 
 32II 
 
 3275 
 
 3338 
 
 3402 
 
 3466 
 
 353o 
 
 3593 
 
 3657 
 
 3721 
 
 
 682 
 
 3784 
 
 3848 
 
 3912 
 
 3975 
 
 4o39 
 
 4io3 
 
 4i66 
 
 423o 
 
 4294 
 
 4357 
 
 
 683 
 
 4421 
 
 4484 
 
 4548 
 
 46 II 
 
 4675 
 
 4739 
 
 4802 
 
 4866 
 
 4929 
 
 4993 
 
 
 684 
 
 5o56 
 
 5l20 
 
 5i83 
 
 5247 
 
 53io 
 
 5373 
 
 5437 
 
 55oo 
 
 5564 
 
 5627 
 
 63 
 
 685 
 
 5691 
 
 5754 
 
 5817 
 
 588i 
 
 5944 
 
 6007 
 
 6071 
 
 6i34 
 
 6197 
 
 6261 
 
 
 686 
 
 6324 
 
 6387 
 
 645i 
 
 65i4 
 
 6577 
 
 664i 
 
 6704 
 
 6767 
 
 683o 
 
 6894 
 
 
 687 
 
 6957 
 
 7020 
 
 7083 
 
 7i46 
 
 7210 
 
 7273 
 
 7336 
 
 7399 
 
 7462 
 
 7525 
 
 
 688 
 
 7588 
 
 7652 
 
 77i5 
 
 7778 
 
 7841 
 
 7904 
 
 7967 
 
 8o3o 
 
 8093 
 
 8i56 
 
 
 689 
 
 8219 
 
 8282 
 
 8345 
 
 84o8 
 
 8471 
 
 8534 
 
 8597 
 
 8660 
 
 8723 
 
 8786 
 
 
 690 
 
 8849 
 
 8912 
 
 8975 
 
 9o38 
 
 9101 
 
 9164 
 
 9227 
 
 9289 
 
 9352 
 
 94i5 
 
 
 691 
 
 9478 
 
 9541 
 
 9604 
 
 9667 
 
 9729 
 
 9792 
 
 9855 
 
 9918 
 
 9981 
 
 ..43 
 
 
 692 
 
 840106 
 
 0169 
 
 0232 
 
 0294 
 
 0357 
 
 0420 
 
 0482 
 
 o545 
 
 0608 
 
 0671 
 
 
 693 
 
 0733 
 
 0796 
 
 0859 
 
 0921 
 
 0984 
 
 io46 
 
 1 109 
 
 1 172 
 
 1234 
 
 1297 
 
 
 694 
 
 1359 
 
 1422 
 
 i485 
 
 i547 
 
 1610 
 
 1672 
 
 1735 
 
 1797 
 
 i860 
 
 1922 
 
 
 695 
 
 1985 
 
 2047 
 
 21 10 
 
 2172 
 
 2235 
 
 2297 
 
 236o 
 
 2422 
 
 2484 
 
 2547 
 
 62 
 
 696 
 
 2609 
 
 2672 
 
 2734 
 
 2796 
 
 2859 
 
 2921 
 
 2983 
 
 3o46 
 
 3io8 
 
 3170 
 
 
 697 
 
 3233 
 
 3295 
 
 3357 
 
 3420 
 
 34S2 
 
 3544 
 
 36o6 
 
 3669 
 
 3731 
 
 3793 
 
 
 698 
 
 3855 
 
 3918 
 
 3980 
 
 4o42 
 
 4io4 
 
 4166 
 
 4229 
 
 4291 
 
 4353 
 
 44i5 
 
 
 699 
 
 4477 
 
 4539 
 
 4601 
 
 4664 
 
 4726 
 
 4788 
 
 485o 
 
 4912 
 
 4974 
 
 5o36 
 
 
 700 
 
 6098 
 
 5i6o 
 
 5222 
 
 5284 
 
 5346 
 
 5408 
 
 5470 
 
 5532 
 
 5594 
 
 5656 
 
 
 701 
 
 5718 
 
 5780 
 
 5842 
 
 5904 
 
 5966 
 
 6028 
 
 6090 
 
 6i5i 
 
 6213 
 
 6275 
 
 
 702 
 
 6337 
 
 6399 
 
 646i 
 
 6523 
 
 6585 
 
 6646 
 
 6708 
 
 6770 
 
 6832 
 
 6894 
 
 
 7o3 
 
 6955 
 
 7017 
 
 7079 
 
 7i4i 
 
 7202 
 
 7264 
 
 7326 
 
 7388 
 
 7449 
 
 75ii 
 
 
 704 
 
 7573 
 
 7634 
 
 7696 
 
 7758 
 
 7819 
 
 7881 
 
 7943 
 
 8oo4 
 
 8066 
 
 8128 
 
 
 7o5 
 
 8189 
 
 825i 
 
 83i2 
 
 8374 
 
 8435 
 
 8497 
 
 8559 
 
 8620 
 
 8682 
 
 8743 
 
 
 706 
 
 88o5 
 
 8866 
 
 8928 
 
 8989 
 
 9o5i 
 
 91 12 
 
 9174 
 
 9235 
 
 9297 
 
 9358 
 
 61 
 
 707 
 
 9419 
 
 9481 
 
 9542 
 
 9604 
 
 9665 
 
 9726 
 
 9788 
 
 9849 
 
 9911 
 
 9972 
 
 
 708 
 
 85oo33 
 
 0095 
 
 oi56 
 
 0217 
 
 0279 
 
 o34o 
 
 o4oi 
 
 0462 
 
 o524 
 
 o585 
 
 
 709 
 
 o646 
 
 0707 
 
 0769 
 
 o83o 
 
 0891 
 
 0952 
 
 ioi4 
 
 1075 
 
 ii36 
 
 1197 
 
 
 710 
 
 1258 
 
 r32o 
 
 i38i 
 
 i442 
 
 i5o3 
 
 i564 
 
 1625 
 
 1686 
 
 1747 
 
 1809 
 
 
 711 
 
 1870 
 
 1931 
 
 1992 
 
 2o53 
 
 21 14 
 
 2175 
 
 2236 
 
 2297 
 
 2358 
 
 2419 
 
 
 712 
 
 2480 
 
 254i 
 
 2602 
 
 2663 
 
 2724 
 
 2785 
 
 2846 
 
 2907 
 
 2968 
 
 3029 
 
 
 7i3 
 
 3090 
 
 3i5o 
 
 32II 
 
 3272 
 
 3333 
 
 3394 
 
 3455 
 
 35i6 
 
 3577 
 
 3637 
 
 
 714 
 
 3698 
 
 3759 
 
 3820 
 
 388 1 
 
 3941 
 
 4002 
 
 4o63 
 
 4124 
 
 4i85 
 
 4245 
 
 
 7i5 
 
 43o6 
 
 4367 
 
 4428 
 
 4488 
 
 4549 
 
 4610 
 
 4670 
 
 4731 
 
 4792 
 
 4852 
 
 
 716 
 
 4913 
 
 4974 
 
 5o34 
 
 5095 
 
 5i56 
 
 52i6 
 
 5277 
 
 5337 
 
 5398 
 
 5459 
 
 
 717 
 
 5519 
 
 558o 
 
 564o 
 
 5701 
 
 5761 
 
 5822 
 
 5882 
 
 5g43 
 
 6oo3 
 
 6064 
 
 
 718 
 
 6124 
 
 6i85 
 
 6245 
 
 63o6 
 
 6366 
 
 6427 
 
 6487 
 
 6548 
 
 6608 
 
 6668 
 
 60 
 
 719 
 
 6729 
 
 6789 
 
 685o 
 
 6910 
 
 6970 
 
 7o3i 
 
 7091 
 
 7i52 
 
 7212 
 
 7272 
 
 
 N. 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 
 r 64 » 
 
 f ^ 
 
 i3 
 
 19 
 
 26 
 
 32 
 
 38 
 
 45 
 
 5i 
 
 58 
 
 
 t^ 
 
 63 ^ 
 
 6 
 
 i3 
 
 19 
 
 25 
 
 32 
 
 38 
 
 44 
 
 5o 
 
 57 
 
 
 
 • 62 (^ 
 
 6 
 
 12 
 
 19 
 
 25 
 
 3i 
 
 37 
 
 43 
 
 5o 
 
 56 
 
 
 5 
 
 61 p 
 
 6 
 
 12 
 
 18 i 24 
 
 3i 
 
 37 
 
 43 
 
 49 
 
 55 
 
 
 .. 
 
 60 0-t 
 
 6 
 
 12 
 
 18 24 
 
 3o 
 
 36 
 
 42 
 
 48 
 
 54 
 
 
16 
 
 
 
 Logarithms of Numbers. 
 
 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 ""b. 
 
 720 
 
 857332 
 
 7393 
 
 7453 
 
 75i3 
 
 7574 
 
 7634 
 
 7694 
 
 7755 
 
 7815 
 
 7875 
 
 60 
 
 721 
 
 7935 
 
 7995 
 
 8o56 
 
 8116 
 
 8176 
 
 8236 
 
 8297 
 
 8357 
 
 84i7 
 
 8477 
 
 
 722 
 
 8537 
 
 8597 
 
 8657 
 
 8718 
 
 8778 
 
 8838 
 
 8898 
 
 8958 
 
 9018 
 
 9078 
 
 
 723 
 
 9i38 
 
 9198 
 
 9258 
 
 9318 
 
 9379 
 
 9439 
 
 9499 
 
 9559 
 
 9619 
 
 9679 
 
 
 724 
 
 9739 
 
 9799 
 
 9859 
 
 9918 
 
 9978 
 
 ..38 
 
 ..98 
 
 .i58 
 
 .218 
 
 .278 
 
 
 725 
 
 86o338 
 
 0398 
 
 o458 
 
 o5i8 
 
 0578 
 
 0637 
 
 0697 
 
 0757 
 
 0817 
 
 0877 
 
 
 726 
 
 0937 
 
 0996 
 
 io56 
 
 1116 
 
 1176 
 
 1236 
 
 1295 
 
 i355 
 
 i4i5 
 
 1475 
 
 
 727 
 
 i534 
 
 1594 
 
 i654 
 
 1714 
 
 1773 
 
 i833 
 
 1893 
 
 1952 
 
 2012 
 
 2072 
 
 
 728 
 
 2l3l 
 
 2191 
 
 225l 
 
 23lO 
 
 2370 
 
 243o 
 
 2498 
 
 2549 
 
 2608 
 
 2668 
 
 
 729 
 
 2728 
 
 2787 
 
 2847 
 
 2906 
 
 2966 
 
 3o25 
 
 3o85 
 
 3i44 
 
 32o4 
 
 3263 
 
 
 730 
 
 3323 
 
 3382 
 
 3442 
 
 35oi 
 
 356i 
 
 3620 
 
 368o 
 
 3739 
 
 3799 
 
 3858 
 
 59 
 
 731 
 
 3917 
 
 3977 
 
 4o36 
 
 4096 
 
 4i55 
 
 4214 
 
 4274 
 
 4333 
 
 4392 
 
 4452 
 
 
 732 
 
 45ii 
 
 4570 
 
 463o 
 
 4689 
 
 4748 
 
 4808 
 
 4867 
 
 4926 
 
 4985 
 
 5o45 
 
 
 733 
 
 5io4 
 
 5i63 
 
 5222 
 
 5282 
 
 5341 
 
 5400 
 
 5459 
 
 55x9 
 
 5578 
 
 5637 
 
 
 734 
 
 5696 
 
 5755 
 
 58i4 
 
 5874 
 
 5933 
 
 5992 
 
 6o5i 
 
 6110 
 
 6169 
 
 6228 
 
 
 735 
 
 6287 
 
 6346 
 
 64o5 
 
 6465 
 
 6524 
 
 6583 
 
 6642 
 
 6701 
 
 6760 
 
 6819 
 
 
 736 
 
 6878 
 
 6937 
 
 6996 
 
 7055 
 
 7114 
 
 7173 
 
 7232 
 
 7291 
 
 7350 
 
 7409 
 
 
 737 
 
 7467 
 
 7526 
 
 7585 
 
 7644 
 
 7703 
 
 7762 
 
 7821 
 
 7880 
 
 7939 
 
 7998 
 
 
 738 
 
 8o56 
 
 8ii5 
 
 8174 
 
 8233 
 
 8292 
 
 835o 
 
 8409 
 
 8468 
 
 8527 
 
 8586 
 
 
 739 
 
 8644 
 
 8703 
 
 8762 
 
 8821 
 
 8879 
 
 8938 
 
 8997 
 
 9o56 
 
 9114 
 
 9173 
 
 
 740 
 
 9232 
 
 9290 
 
 9349 
 
 9408 
 
 9466 
 
 9525 
 
 9584 
 
 9642 
 
 9701 
 
 9760 
 
 
 741 
 
 9818 
 
 9877 
 
 9935 
 
 9994 
 
 ..53 
 
 .III 
 
 .170 
 
 .228 
 
 .287 
 
 .345 
 
 
 742 
 
 870404 
 
 0462 
 
 o52i 
 
 0579 
 
 o638 
 
 0696 
 
 0755 
 
 o8i3 
 
 0872 
 
 0930 
 
 58 
 
 743 
 
 0989 
 
 1047 
 
 1 1 06 
 
 ii64 
 
 1223 
 
 1281 
 
 1339 
 
 1398 
 
 i456 
 
 i5i5 
 
 
 744 
 
 1573 
 
 i63i 
 
 1690 
 
 1748 
 
 1806 
 
 i865 
 
 1923 
 
 1981 
 
 2040 
 
 2098 
 
 
 745 
 
 2i56 
 
 22l5 
 
 2273 
 
 233i 
 
 2389 
 
 2448 
 
 25o6 
 
 2564 
 
 2622 
 
 2681 
 
 
 746 
 
 2739 
 
 2797 
 
 2855 
 
 2913 
 
 2972 
 
 3o3o 
 
 3o88 
 
 3i46 
 
 3204 
 
 3262 
 
 
 747 
 
 3321 
 
 3379 
 
 3437 
 
 3495 
 
 3553 
 
 36ii 
 
 3669 
 
 3727 
 
 3785 
 
 3844 
 
 
 748 
 
 3go2 
 
 3960 
 
 4oi8 
 
 4076 
 
 4i34 
 
 4192 
 
 425o 
 
 43o8 
 
 4366 
 
 4424 
 
 
 749 
 
 4482 
 
 4540 
 
 4598 
 
 4656 
 
 4714 
 
 4772 
 
 483o 
 
 4888 
 
 4945 
 
 5oo3 
 
 
 750 
 
 5o6i 
 
 5i 19 
 
 5177 
 
 5235 
 
 5293 
 
 535i 
 
 5409 
 
 5466 
 
 5524 
 
 5582 
 
 
 751 
 
 564o 
 
 5698 
 
 5756 
 
 58i3 
 
 5871 
 
 5929 
 
 5987 
 
 6045 
 
 6102 
 
 6160 
 
 
 752 
 
 6218 
 
 6276 
 
 6333 
 
 6391 
 
 6449 
 
 65o7 
 
 6564 
 
 6622 
 
 6680 
 
 6737 
 
 
 753 
 
 6795 
 
 6853 
 
 6910 
 
 6968 
 
 7026 
 
 7083 
 
 7i4i 
 
 7199 
 
 7256 
 
 73i4 
 
 
 754 
 
 7371 
 
 7429 
 
 7487 
 
 7544 
 
 7602 
 
 7659 
 
 7717 
 
 7774 
 
 7832 
 
 7889 
 
 
 755 
 
 7947 
 
 8004 
 
 8062 
 
 8119 
 
 8177 
 
 8234 
 
 8292 
 
 8349 
 
 8407 
 
 8464 
 
 57 
 
 756 
 
 8522 
 
 8579 
 
 8637 
 
 8694 
 
 8752 
 
 8809 
 
 8866 
 
 8924 
 
 8981 
 
 9039 
 
 
 757 
 
 9096 
 
 9153 
 
 9211 
 
 9268 
 
 9325 
 
 9383 
 
 9440 
 
 9497 
 
 9555 
 
 9612 
 
 
 758 
 
 9669 
 
 9726 
 
 9784 
 
 9841 
 
 9898 
 
 9956 
 
 ..i3 
 
 ..70 
 
 .127 
 
 .185 
 
 
 759 
 
 880242 
 
 0299 
 
 o356 
 
 o4i3 
 
 0471 
 
 o528 
 
 o585 
 
 0642 
 
 0699 
 
 0756 
 
 
 760 
 
 08 1 4 
 
 0871 
 
 0928 
 
 0985 
 
 1042 
 
 1099 
 
 ii56 
 
 I2l3 
 
 1271 
 
 i328 
 
 
 761 
 
 i385 
 
 1442 
 
 1499 
 
 i556 
 
 i6i3 
 
 1670 
 
 1727 
 
 1784 
 
 i84i 
 
 1898 
 
 
 762 
 
 1955 
 
 2012 
 
 2069 
 
 2126 
 
 2i83 
 
 2240 
 
 2297 
 
 2354 
 
 241 1 
 
 2468 
 
 
 763 
 
 2525 
 
 258i 
 
 2638 
 
 2695 
 
 2752 
 
 2809 
 
 2866 
 
 2923 
 
 2980 
 
 3o37 
 
 
 764 
 
 3093 
 
 3i5o 
 
 3207 
 
 3264 
 
 3321 
 
 3377 
 
 3434 
 
 3491 
 
 3548 
 
 36o5 
 
 
 765 
 
 366i 
 
 3718 
 
 3775 
 
 3832 
 
 3888 
 
 3945 
 
 4o02 
 
 4o59 
 
 4ii5 
 
 4172 
 
 
 766 
 
 4229 
 
 4285 
 
 4342 
 
 4399 
 
 4455 
 
 45i2 
 
 4569 
 
 4625 
 
 4682 
 
 4739 
 
 
 767 
 
 4795 
 
 4852 
 
 4909 
 
 4965 
 
 5022 
 
 5078 
 
 5i35 
 
 5192 
 
 5248 
 
 53o5 
 
 
 768 
 
 536i 
 
 5418 
 
 5474 
 
 553i 
 
 5587 
 
 5644 
 
 5700 
 
 5757 
 
 58i3 
 
 5870 
 
 
 769 
 
 5926 
 
 5983 
 
 6039 
 
 6096 
 
 6i52 
 
 6209 
 
 6265 
 
 6321 
 
 6378 
 
 6434 
 
 56 
 
 770 
 
 6491 
 
 6547 
 
 6604 
 
 6660 
 
 6716 
 
 6773 
 
 6829 
 
 6885 
 
 6942 
 
 6998 
 
 
 771 
 
 7054 
 
 71 II 
 
 7167 
 
 7223 
 
 7280 
 
 7336 
 
 7392 
 
 7449 
 
 75o5 
 
 7561 
 
 
 772 
 
 7617 
 
 7674 
 
 7730 
 
 7786 
 
 7842 
 
 7898 
 
 7955 
 
 Son 
 
 8067 
 
 8123 
 
 
 773 
 
 8179 
 
 8236 
 
 8292 
 
 8348 
 
 84o4 
 
 846o 
 
 85i6 
 
 8573 
 
 8629 
 
 8685 
 
 
 774 
 
 8741 
 
 8797 
 
 8853 
 
 8909 
 
 8965 
 
 9021 
 
 9077 
 
 9134 
 
 9190 
 
 9246 
 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 
 ' 60 o5 
 
 r 6 
 
 12 
 
 18 
 
 24 
 
 3o 
 
 36 
 
 42 
 
 48 
 
 54 
 
 
 u 
 
 59 1 
 
 6 
 
 12 
 
 18 
 
 24 
 
 3o 
 
 35 
 
 4i 
 
 47 
 
 53 
 
 
 Stt J 
 
 58 P^ J 
 
 6 
 
 12 
 
 17 
 
 23 
 
 29 
 
 35 
 
 4i 
 
 46 
 
 52 
 
 
 Q 
 
 57 6 
 
 6 
 
 1 1 
 
 17 
 
 23 
 
 29 
 
 34 
 
 4o 
 
 46 
 
 5i 
 
 
 
 ^ 56 fil 
 
 6 
 
 1 1 
 
 17 
 
 22 
 
 28 
 
 34 
 
 39 
 
 45 
 
 5o 
 
 
Logarithms of Numbers. 
 
 17 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 775 
 
 889302 
 
 9358 
 
 94i4 
 
 9470 
 
 9526 
 
 9582 
 
 9688 
 
 9694 
 
 975o 
 
 9806 
 
 56 
 
 776 
 
 9862 
 
 9918 
 
 9974 
 
 ..3o 
 
 .,86 
 
 .i4i 
 
 .197 
 
 .253 
 
 .809 
 
 .365 
 
 
 777 
 
 890421 
 
 0477 
 
 o533 
 
 0589 
 
 0645 
 
 0700 
 
 0756 
 
 0812 
 
 0868 
 
 0924 
 
 
 778 
 
 0980 
 
 io35 
 
 1 09 1 
 
 1147 
 
 I203 
 
 1259 
 
 i3i4 
 
 1870 
 
 1426 
 
 1482 
 
 
 779 
 
 1537 
 
 1593 
 
 1649 
 
 1705 
 
 1760 
 
 1816 
 
 1872 
 
 1928 
 
 1988 
 
 2089 
 
 
 780 
 
 2095 
 
 2i5o 
 
 2206 
 
 2262 
 
 23i7 
 
 2373 
 
 2429 
 
 2484 
 
 2540 
 
 2595 
 
 
 781 
 
 265i 
 
 2707 
 
 2762 
 
 2818 
 
 2873 
 
 2929 
 
 2985 
 
 3o4o 
 
 8096 
 
 8i5i 
 
 
 782 
 
 3207 
 
 3262 
 
 33i8 
 
 3373 
 
 3429 
 
 3484 
 
 854o 
 
 3595 
 
 865i 
 
 8706 
 
 
 783 
 
 3762 
 
 3817 
 
 3873 
 
 3928 
 
 3984 
 
 4o39 
 
 4094 
 
 4i5o 
 
 42o5 
 
 4261 
 
 55 
 
 784 
 
 43i6 
 
 4371 
 
 4427 
 
 4482 
 
 4538 
 
 4593 
 
 4648 
 
 4704 
 
 4759 
 
 48i4 
 
 
 785 
 
 4870 
 
 4925 
 
 4980 
 
 5o36 
 
 5091 
 
 5i46 
 
 5201 
 
 5257 
 
 53i2 
 
 5867 
 
 
 786 
 
 5423 
 
 5478 
 
 5533 
 
 5588 
 
 5644 
 
 5699 
 
 5754 
 
 5809 
 
 5864 
 
 5920 
 
 
 787 
 
 5975 
 
 6o3o 
 
 6o85 
 
 6i4o 
 
 6195 
 
 625i 
 
 63o6 
 
 636i 
 
 64i6 
 
 6471 
 
 
 788 
 
 6526 
 
 658i 
 
 6636 
 
 6692 
 
 6747 
 
 6802 
 
 6857 
 
 6912 
 
 6967 
 
 7022 
 
 
 789 
 
 7077 
 
 7182 
 
 7187 
 
 7242 
 
 7297 
 
 7352 
 
 7407 
 
 7462 
 
 7517 
 
 7572 
 
 
 790 
 
 7627 
 
 7682 
 
 7737 
 
 7792 
 
 7847 
 
 7902 
 
 7957 
 
 8012 
 
 8067 
 
 8122 
 
 
 791 
 
 8176 
 
 823i 
 
 8286 
 
 834i 
 
 8396 
 
 845i 
 
 85o6 
 
 856i 
 
 86i5 
 
 8670 
 
 
 792 
 
 8725 
 
 8780 
 
 8835 
 
 8890 
 
 8944 
 
 8999 
 
 9054 
 
 9109 
 
 9164 
 
 9218 
 
 
 793 
 
 9273 
 
 9328 
 
 9383 
 
 9437 
 
 9492 
 
 9547 
 
 9602 
 
 9656 
 
 9711 
 
 9766 
 
 
 794 
 
 9821 
 
 9875 
 
 9980 
 
 9985 
 
 ..39 
 
 ..94 
 
 .149 
 
 .203 
 
 .258 
 
 .812 
 
 
 795 
 
 900367 
 
 0422 
 
 0476 
 
 o53i 
 
 o586 
 
 o64o 
 
 0695 
 
 0749 
 
 o8o4 
 
 0859 
 
 
 796 
 
 0913 
 
 0968 
 
 1022 
 
 1077 
 
 I i3i 
 
 1186 
 
 1240 
 
 1295 
 
 1349 
 
 i4o4 
 
 
 797 
 
 i458 
 
 i5i3 
 
 i567 
 
 1622 
 
 1676 
 
 1731 
 
 1785 
 
 i84o 
 
 1894 
 
 1948 
 
 54 
 
 798 
 
 2oo3 
 
 2o57 
 
 21 12 
 
 2166 
 
 2221 
 
 2275 
 
 2829 
 
 2384 
 
 2438 
 
 2492 
 
 
 799 
 
 2547 
 
 2601 
 
 2655 
 
 2710 
 
 2764 
 
 2818 
 
 2873 
 
 2927 
 
 2981 
 
 8o36 
 
 
 800 
 
 8090 
 
 3i44 
 
 3199 
 
 3253 
 
 3307 
 
 336i 
 
 84i6 
 
 3470 
 
 8524 
 
 3578 
 
 
 801 
 
 3633 
 
 3687 
 
 374t 
 
 3795 
 
 3849 
 
 8904 
 
 8958 
 
 4012 
 
 4o66 
 
 4l20 
 
 
 802 
 
 4174 
 
 4229 
 
 4283 
 
 4337 
 
 4391 
 
 4445 
 
 4499 
 
 4553 
 
 4607 
 
 466i 
 
 
 8o3 
 
 4716 
 
 4770 
 
 4824 
 
 4878 
 
 4932 
 
 4986 
 
 5o4o 
 
 5094 
 
 5i48 
 
 5202 
 
 
 8o4 
 
 5256 
 
 53io 
 
 5364 
 
 5418 
 
 5472 
 
 5526 
 
 558o 
 
 5634 
 
 5688 
 
 5742 
 
 
 8o5 
 
 5796 
 
 585o 
 
 5904 
 
 5958 
 
 6012 
 
 6066 
 
 61 19 
 
 6178 
 
 6227 
 
 6281 
 
 
 806 
 
 6335 
 
 6389 
 
 6443 
 
 6497 
 
 655i 
 
 66o4 
 
 6658 
 
 6712 
 
 6766 
 
 6820 
 
 
 807 
 
 6874 
 
 6927 
 
 6981 
 
 7035 
 
 7089 
 
 7143 
 
 7196 
 
 725o 
 
 7804 
 
 7358 
 
 
 808 
 
 741 1 
 
 7465 
 
 7519 
 
 7573 
 
 7626 
 
 7680 
 
 7734 
 
 7787 
 
 7841 
 
 7895 
 
 
 809 
 
 7949 
 
 8002 
 
 8o56 
 
 8110 
 
 8i63 
 
 8217 
 
 8270 
 
 8824 
 
 8878 
 
 843 1 
 
 
 810 
 
 8485 
 
 8539 
 
 8592 
 
 8646 
 
 8699 
 
 8753 
 
 8807 
 
 8860 
 
 8914 
 
 8967 
 
 
 811 
 
 9021 
 
 9074 
 
 9128 
 
 9181 
 
 9235 
 
 9289 
 
 9342 
 
 9896 
 
 9449 
 
 95o3 
 
 
 812 
 
 9556 
 
 9610 
 
 9663 
 
 9716 
 
 9770 
 
 9823 
 
 9877 
 
 9980 
 
 9984 
 
 ..37 
 
 53 
 
 8i3 
 
 910091 
 
 oi44 
 
 0197 
 
 025l 
 
 o3o4 
 
 o358 
 
 o4i I 
 
 o464 
 
 o5i8 
 
 0571 
 
 
 8i4 
 
 0624 
 
 0678 
 
 0731 
 
 0784 
 
 o838 
 
 0891 
 
 0944 
 
 0998 
 
 io5i 
 
 iio4 
 
 
 8i5 
 
 ii58 
 
 1211 
 
 1264 
 
 i3i7 
 
 1371 
 
 1424 
 
 1477 
 
 i58o 
 
 1 584 
 
 1687 
 
 
 816 
 
 1690 
 
 1743 
 
 1797 
 
 i85o 
 
 1903 
 
 1956 
 
 2009 
 
 2o63 
 
 21 16 
 
 2169 
 
 
 817 
 
 2222 
 
 2275 
 
 2328 
 
 238i 
 
 2435 
 
 2488 
 
 254i 
 
 2594 
 
 2647 
 
 2700 
 
 
 818 
 
 2753 
 
 2806 
 
 2859 
 
 2913 
 
 2966 
 
 8019 
 
 8072 
 
 8125 
 
 8178 
 
 8281 
 
 
 819 
 
 3284 
 
 3337 
 
 3390 
 
 3443 
 
 3496 
 
 8549 
 
 8602 
 
 8655 
 
 8708 
 
 8761 
 
 
 820 
 
 38i4 
 
 3867 
 
 3920 
 
 3973 
 
 4026 
 
 4079 
 
 4i32 
 
 4i84 
 
 4287 
 
 4290 
 
 
 821 
 
 4343 
 
 4396 
 
 4449 
 
 45o2 
 
 4555 
 
 4608 
 
 466o 
 
 4713 
 
 4766 
 
 4819 
 
 
 822 
 
 4872 
 
 4925 
 
 4977 
 
 5o3o 
 
 5o83 
 
 5i86 
 
 5189 
 
 524i 
 
 5294 
 
 5347 
 
 
 823 
 
 5400 
 
 5453 
 
 55o5 
 
 5558 
 
 56ii 
 
 5664 
 
 5716 
 
 5769 
 
 5822 
 
 5875 
 
 
 824 
 
 5927 
 
 5980 
 
 6o33 
 
 6o85 
 
 6i38 
 
 6191 
 
 6243 
 
 6296 
 
 6849 
 
 64oi 
 
 
 825 
 
 6454 
 
 65o7 
 
 6559 
 
 6612 
 
 6664 
 
 6717 
 
 6770 
 
 6822 
 
 6875 
 
 6927 
 
 
 826 
 
 6980 
 
 7033 
 
 7085 
 
 7i38 
 
 7190 
 
 7243 
 
 7295 
 
 7348 
 
 7400 
 
 7453 
 
 
 827 
 
 7506 
 
 7558 
 
 761 1 
 
 7663 
 
 7716 
 
 7768 
 
 7820 
 
 7873 
 
 7925 
 
 7978 
 
 52 
 
 828 
 
 8o3o 
 
 8o83 
 
 8i35 
 
 8188 
 
 8240 
 
 8298 
 
 8845 
 
 8397 
 
 845o 
 
 85o2 
 
 
 829 
 
 8555 
 
 8607 
 
 8659 
 
 8712 
 
 8764 
 
 8816 
 
 8869 
 
 8921 
 
 8973 
 
 9026 
 
 
 83o 
 
 9078 
 
 9t3o 
 
 9183 
 
 9235 
 
 9287 
 
 9340 
 
 9892 
 
 9444 
 
 9496 
 
 9549 
 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 
 '55 ^ 
 
 6 
 
 1 1 
 
 17 
 
 22 
 
 28 
 
 38 
 
 89 
 
 44 
 
 5o 
 
 
 t2 J 
 
 54 1 
 
 5 
 
 1 1 
 
 16 
 
 22 
 
 27 
 
 32 
 
 38 
 
 43 
 
 49 
 
 
 ia 
 
 53 p2 ■ 
 
 5 
 
 1 1 
 
 16 
 
 21 
 
 27 
 
 82 
 
 3? 
 
 42 
 
 48 
 
 
 5 
 
 -52 p; 
 
 5 
 
 10 
 
 16 
 
 21 
 
 26 
 
 3i 
 
 36 
 
 42 
 
 47 
 
 
 B 
 
18 
 
 
 
 Logarithms of N 
 
 UMBERS. 
 
 
 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 83i 
 
 919601 
 
 9653 
 
 9706 
 
 9758 
 
 9810 
 
 9862 
 
 9914 
 
 9967 
 
 ..19 
 
 ..71 
 
 52 
 
 832 
 
 920123 
 
 0176 
 
 0228 
 
 0280 
 
 o332 
 
 o384 
 
 o436 
 
 0489 
 
 o54i 
 
 0593 
 
 
 833 
 
 0645 
 
 0697 
 
 0749 
 
 o8oi 
 
 o853 
 
 0906 
 
 0958 
 
 lOIO 
 
 1062 
 
 II i4 
 
 
 834 
 
 1166 
 
 1218 
 
 1270 
 
 l322 
 
 1374 
 
 1426 
 
 1478 
 
 i53o 
 
 i582 
 
 i634 
 
 
 835 
 
 1686 
 
 1738 
 
 1790 
 
 1842 
 
 1894 
 
 1946 
 
 1998 
 
 2o5o 
 
 2102 
 
 2 1 54 
 
 
 836 
 
 2206 
 
 2258 
 
 23lO 
 
 2362 
 
 24i4 
 
 2466 
 
 25i8 
 
 2570 
 
 2622 
 
 2674 
 
 
 837 
 
 2725 
 
 2777 
 
 2829 
 
 2881 
 
 2933 
 
 2985 
 
 3o37 
 
 3089 
 
 3i4o 
 
 3192 
 
 
 838 
 
 3244 
 
 3296 
 
 3348 
 
 3399 
 
 345i 
 
 35o3 
 
 3555 
 
 3607 
 
 3658 
 
 3710 
 
 
 839 
 
 3762 
 
 38i4 
 
 3865 
 
 3917 
 
 3969 
 
 402I 
 
 4072 
 
 4124 
 
 4176 
 
 4228 
 
 
 84o 
 
 4279 
 
 433i 
 
 4383 
 
 4434 
 
 4486 
 
 4538 
 
 4589 
 
 464i 
 
 4693 
 
 4744 
 
 
 84i 
 
 4796 
 
 4848 
 
 4899 
 
 4951 
 
 5oo3 
 
 5o54 
 
 5io6 
 
 5i57 
 
 5209 
 
 5261 
 
 
 842 
 
 53i2 
 
 5364 
 
 54i5 
 
 5467 
 
 55i8 
 
 5570 
 
 5621 
 
 5673 
 
 5725 
 
 5776 
 
 
 843 
 
 5828 
 
 5879 
 
 5931 
 
 5982 
 
 6d34 
 
 6o85 
 
 6137 
 
 6188 
 
 6240 
 
 6291 
 
 5i 
 
 844 
 
 6342 
 
 6394 
 
 6445 
 
 6497 
 
 6548 
 
 6600 
 
 665i 
 
 6702 
 
 6754 
 
 68o5 
 
 
 845 
 
 6857 
 
 6908 
 
 6959 
 
 701 1 
 
 7062 
 
 7114 
 
 7165 
 
 7216 
 
 7268 
 
 7319 
 
 
 846 
 
 7370 
 
 7422 
 
 7473 
 
 7524 
 
 7576 
 
 7627 
 
 7678 
 
 7730 
 
 7781 
 
 7832 
 
 
 847 
 
 7883 
 
 7935 
 
 7986 
 
 8037 
 
 8088 
 
 8i4o 
 
 8191 
 
 8242 
 
 8293 
 
 8345 
 
 
 848 
 
 8396 
 
 8447 
 
 8498 
 
 8549 
 
 8601 
 
 8652 
 
 8703 
 
 8754 
 
 88o5 
 
 8857 
 
 
 849 
 
 8908 
 
 8959 
 
 9010 
 
 9061 
 
 91 12 
 
 9163 
 
 9215 
 
 9266 
 
 9317 
 
 9368 
 
 
 85o 
 
 9419 
 
 9470 
 
 9521 
 
 9572 
 
 9623 
 
 9674 
 
 9725 
 
 9776 
 
 9827 
 
 9879 
 
 
 85i 
 
 9930 
 
 9981 
 
 ..32 
 
 ..83 
 
 .134 
 
 .i85 
 
 .236 
 
 .287 
 
 .338 
 
 .389 
 
 
 852 
 
 93o44o 
 
 0491 
 
 o542 
 
 0592 
 
 0643 
 
 0694 
 
 0745 
 
 0796 
 
 0847 
 
 0898 
 
 
 853 
 
 0949 
 
 1000 
 
 io5i 
 
 1 102 
 
 ii53 
 
 I204 
 
 1254 
 
 i3o5 
 
 i356 
 
 i4o7 
 
 
 854 
 
 i458 
 
 i5o9 
 
 i56o 
 
 1610 
 
 1661 
 
 I7I2 
 
 1763 
 
 i8i4 
 
 i865 
 
 1915 
 
 
 855 
 
 1966 
 
 2017 
 
 2068 
 
 2118 
 
 2169 
 
 2220 
 
 2271 
 
 2322 
 
 2372 
 
 2423 
 
 
 856 
 
 2474 
 
 2524 
 
 2575 
 
 2626 
 
 2677 
 
 2727 
 
 2778 
 
 2829 
 
 2879 
 
 2930 
 
 
 857 
 
 2981 
 
 3o3i 
 
 3082 
 
 3i33 
 
 3i83 
 
 3234 
 
 3285 
 
 3335 
 
 3386 
 
 3437 
 
 
 858 
 
 3487 
 
 3538 
 
 3589 
 
 3639 
 
 3690 
 
 3740 
 
 3791 
 
 384i 
 
 3892 
 
 3943 
 
 
 859 
 
 3993 
 
 4o44 
 
 4094 
 
 4i45 
 
 4195 
 
 4246 
 
 4296 
 
 4347 
 
 4397 
 
 4448 
 
 
 86o 
 
 4498 
 
 4549 
 
 4599 
 
 465o 
 
 4700 
 
 4751 
 
 4801 
 
 4852 
 
 4902 
 
 4953 
 
 5o 
 
 86i 
 
 5oo3 
 
 5o54 
 
 5io4 
 
 5i54 
 
 52o5 
 
 5255 
 
 53o6 
 
 5356 
 
 5406 
 
 5457 
 
 
 862 
 
 5507 
 
 5558 
 
 56o8 
 
 5658 
 
 5709 
 
 5759 
 
 5809 
 
 586o 
 
 5910 
 
 5960 
 
 
 863 
 
 6011 
 
 6061 
 
 611 1 
 
 6162 
 
 6212 
 
 6262 
 
 63i3 
 
 6363 
 
 64i3 
 
 6463 
 
 
 864 
 
 65i4 
 
 6564 
 
 66i4 
 
 6665 
 
 6715 
 
 6765 
 
 68i5 
 
 6865 
 
 6916 
 
 6966 
 
 
 865 
 
 7016 
 
 7066 
 
 7117 
 
 7167 
 
 7217 
 
 7267 
 
 7317 
 
 7367 
 
 74i8 
 
 7468 
 
 
 866 
 
 75i8 
 
 7568 
 
 7618 
 
 7668 
 
 7718 
 
 7769 
 
 7819 
 
 7869 
 
 7919 
 
 7969 
 
 
 867 
 
 8019 
 
 8069 
 
 8119 
 
 8169 
 
 8219 
 
 8269 
 
 8320 
 
 8370 
 
 8420 
 
 8470 
 
 
 868 
 
 8520 
 
 8570 
 
 8620 
 
 8670 
 
 8720 
 
 8770 
 
 8820 
 
 8870 
 
 8920 
 
 8970 
 
 
 869 
 
 9020 
 
 9070 
 
 9120 
 
 9170 
 
 9220 
 
 9270 
 
 9320 
 
 9369 
 
 9419 
 
 9469 
 
 
 870 
 
 9519 
 
 9569 
 
 9619 
 
 9669 
 
 9719 
 
 9769 
 
 9819 
 
 9869 
 
 9918 
 
 9968 
 
 
 871 
 
 940018 
 
 0068 
 
 0118 
 
 0168 
 
 0218 
 
 0267 
 
 o3i7 
 
 0367 
 
 0417 
 
 0467 
 
 
 872 
 
 o5i6 
 
 o566 
 
 0616 
 
 0666 
 
 0716 
 
 0765 
 
 08 1 5 
 
 o865 
 
 0915 
 
 0964 
 
 
 873 
 
 ioi4 
 
 1064 
 
 iii4 
 
 ii63 
 
 I2l3 
 
 1263 
 
 i3i3 
 
 i362 
 
 l4l2 
 
 1462 
 
 
 874 
 
 i5ii 
 
 i56i 
 
 1611 
 
 1660 
 
 1710 
 
 1760 
 
 1809 
 
 1859 
 
 1909 
 
 1958 
 
 
 875 
 
 2008 
 
 2o58 
 
 2107 
 
 2157 
 
 2207 
 
 2256 
 
 23o6 
 
 2355 
 
 24o5 
 
 2455 
 
 
 876 
 
 25o4 
 
 2554 
 
 2603 
 
 2653 
 
 2702 
 
 2752 
 
 2801 
 
 285i 
 
 2901 
 
 2950 
 
 
 877 
 
 3ooo 
 
 3o49 
 
 3099 
 
 3i48 
 
 3198 
 
 3247 
 
 3297 
 
 3346 
 
 3396 
 
 3445 
 
 49 
 
 878 
 
 3495 
 
 3544 
 
 3593 
 
 3643 
 
 3692 
 
 3742 
 
 3791 
 
 384i 
 
 3890 
 
 3939 
 
 
 879 
 
 3989 
 
 4o38 
 
 4o88 4i37 
 
 4186 
 
 4236 
 
 4285 
 
 4335 
 
 4384 
 
 4433 
 
 
 880 
 
 4483 
 
 4532 
 
 458i 
 
 463i 
 
 4680 
 
 4729 
 
 4779 
 
 4828 
 
 4877 
 
 4927 
 
 
 881 
 
 4976 
 
 5o25 
 
 5074 
 
 5i24 
 
 5173 
 
 5222 
 
 5272 
 
 5321 
 
 5370 
 
 5419 
 
 
 882 
 
 5469 
 
 55i8 
 
 5567 
 
 56i6 
 
 5665 
 
 5715 
 
 5764 
 
 58i3 
 
 5862 
 
 5912 
 
 
 883 
 
 5961 
 
 6010 
 
 6059 
 
 6108 
 
 6157 
 
 6207 
 
 6256 
 
 63o5 
 
 6354 
 
 64o3 
 
 
 884 
 
 6452 
 
 65oi 
 
 655i 
 
 6600 
 
 6649 
 
 6698 
 
 6747 
 
 6796 
 
 6845 
 
 6894 
 
 
 885 
 
 6943 
 
 6992 
 
 7o4i 
 
 7090 
 
 7i4o 
 
 7189 
 
 7238 
 
 7287 
 
 7336 
 
 7385 
 
 
 886 
 
 7434 
 
 7483 
 
 7532 
 
 758i 
 
 763o 
 
 7679 
 
 7728 
 
 7777 
 
 7826 
 
 7875 
 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 1 
 
 8 
 
 9 
 
 D. 
 
 .. 
 
 ' 52 03 
 
 ' 5 
 
 10 
 
 16 
 
 21 
 
 26 
 
 3i 
 
 36 
 
 42 
 
 47 
 
 
 Differ 
 
 5i 1 
 
 5 
 
 10 
 
 i5 
 
 20 
 
 26 
 
 3i 
 
 36 
 
 4i 
 
 46 
 
 
 5o Ph 
 
 5 
 
 10 
 
 i5 
 
 20 
 
 25 
 
 3o 
 
 35 
 
 4o 
 
 45 
 
 
 .49 o; 
 
 5 
 
 10 
 
 i5 
 
 20 
 
 25 
 
 29 
 
 34 
 
 39 
 
 44 
 
 
 
Logarithms of ITumbees. 
 
 19 
 
 
 (N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 887 
 
 947924 
 
 7973 
 
 8022 
 
 8070 
 
 8119 
 
 8168 
 
 8217 1 8266 
 
 83i5 
 
 8364 
 
 49 
 
 
 888 
 
 84i3 
 
 8462 
 
 85ii 
 
 856o 
 
 8609 
 
 8657 
 
 8706 
 
 8755 
 
 8804 
 
 8853 
 
 / 
 
 
 889 
 
 8902 
 
 8961 
 
 8999 
 
 9048 
 
 9097 
 
 9146 
 
 9195 
 
 9244 
 
 9292 
 
 9341 
 
 
 
 890 
 
 9390 
 
 9439 
 
 9488 
 
 9536 
 
 9585 
 
 9634 
 
 9683 
 
 9731 
 
 9780 
 
 9829 
 
 
 
 891 
 
 9878 
 
 9926 
 
 9975 
 
 ..24 
 
 ..73 
 
 . 121 
 
 . 170 
 
 .219 
 
 .267 
 
 .3i6 
 
 
 
 892 
 
 95o365 
 
 o4i4 
 
 0462 1 o5i I 
 
 o56o 
 
 0608 
 
 0657 
 
 0706 
 
 0754 
 
 o8o3 
 
 
 
 893 
 
 o85i 
 
 0900 
 
 0949 
 
 0997 
 
 io46 
 
 1095 
 
 ii43 
 
 1192 
 
 1240 
 
 1289 
 
 
 
 894 
 
 i338 
 
 i386 
 
 1435 
 
 i483 
 
 i532 
 
 i58o 
 
 1629 
 
 1677 
 
 1726 
 
 1775 
 
 
 
 895 
 
 1823 
 
 1872 
 
 1920 
 
 1969 
 
 2017 
 
 2066 
 
 21l4 
 
 2i63 
 
 2211 
 
 2260 
 
 48 
 
 
 896 
 
 23o8 
 
 2356 
 
 24o5 
 
 2453 
 
 2502 
 
 255o 
 
 2599 
 
 2647 
 
 2696 
 
 2744 
 
 
 
 897 
 
 2792 
 
 284l 
 
 2889 
 
 2938 
 
 2986 
 
 3o34 
 
 3o83 
 
 3i3i 
 
 3i8o 
 
 3228 
 
 
 
 898 
 
 3276 
 
 3325 
 
 3373 
 
 3421 
 
 3470 
 
 35i8 
 
 3566 
 
 36i5 
 
 3663 
 
 3711 
 
 
 
 899 
 
 3760 
 
 38o8 
 
 3856 
 
 3905 
 
 3953 
 
 4ooi 
 
 4o49 
 
 4098 
 
 4i46 
 
 4194 
 
 
 
 900 
 
 4243 
 
 4291 
 
 4339 
 
 4387 
 
 4435 
 
 4484 
 
 4532 
 
 458o 
 
 4628 
 
 4677 
 
 
 ' 
 
 901 
 
 4725 
 
 4773 
 
 4821 
 
 4869 
 
 4918 
 
 4966 
 
 5oi4 
 
 6062 
 
 5i 10 
 
 5i58 
 
 
 
 902 
 
 6207 
 
 5255 
 
 53o3 
 
 535i 
 
 5399 
 
 5447 
 
 5495 
 
 5543 
 
 5592 
 
 564o 
 
 
 
 903 
 
 5688 
 
 5736 
 
 5784 
 
 5832 
 
 588o 
 
 5928 
 
 5976 
 
 6024 
 
 6072 
 
 6120 
 
 
 1 
 
 904 
 
 6168 
 
 6216 
 
 6265 
 
 63i3 
 
 636i 
 
 6409 
 
 6457 
 
 65o5 
 
 6553 
 
 6601 
 
 
 j 
 
 905 
 
 6649 
 
 6697 
 
 6745 
 
 6793 
 
 684o 
 
 6888 
 
 6936 
 
 6984 
 
 7032 
 
 7080 
 
 
 
 906 
 
 712S 
 
 7176 
 
 7224 
 
 7272 
 
 7320 
 
 7368 
 
 7416 
 
 7464 
 
 75i2 
 
 7559 
 
 
 
 907 
 
 7607 
 
 7655 
 
 7703 
 
 775i 
 
 7799 
 
 7847 
 
 7894 
 
 7942 
 
 7990 
 
 8o38 
 
 
 
 908 
 
 8086 
 
 8t34 
 
 8181 
 
 8229 
 
 8277 
 
 8325 
 
 8373 
 
 842 1 
 
 8468 
 
 85i6 
 
 
 
 909 
 
 8564 
 
 86j2 
 
 8659 
 
 8707 
 
 8755 
 
 88o3 
 
 885o 
 
 8898 
 
 8946 
 
 8994 
 
 
 
 910 
 
 9041 
 
 9089 
 
 9137 
 
 9185 
 
 9232 
 
 9280 
 
 9328 
 
 9375 
 
 9423 
 
 9471 
 
 
 
 911 
 
 9518 
 
 9566 
 
 9614 
 
 9661 
 
 9709 
 
 9757 
 
 9804 
 
 9852 
 
 9900 
 
 9947 
 
 
 
 912 
 
 9995 
 
 ..42 
 
 . .90 
 
 .i38 
 
 .i85 
 
 .233 
 
 .280 
 
 .328 
 
 .376 
 
 .423 
 
 
 
 913 
 
 960471 
 
 o5i8 
 
 o566 
 
 o6i3 
 
 0661 
 
 0709 
 
 0756 
 
 0804 
 
 o85i 
 
 0899 
 
 
 
 914 
 
 0946 
 
 0994 
 
 io4r 
 
 1089 
 
 11 36 
 
 1184 
 
 I23l 
 
 1279 
 
 i326 
 
 1374 
 
 47 
 
 
 9i5 
 
 1421 
 
 1469 
 
 i5i6 
 
 i563 
 
 1611 
 
 i658 
 
 1706 
 
 1753 
 
 1801 
 
 i848 
 
 
 
 916 
 
 1895 
 
 1943 
 
 1990 
 
 2o38 
 
 2o85 
 
 2l32 
 
 2i8o 
 
 2227 
 
 2275 
 
 2322 
 
 
 
 917 
 
 2369 
 
 2417 
 
 2464 
 
 25l [ 
 
 2559 
 
 2606 
 
 2653 
 
 2701 
 
 2748 
 
 2795 
 
 
 
 918 
 
 2843 
 
 2890 
 
 2937 
 
 2985 
 
 3o32 
 
 3079 
 
 3i26 
 
 3174 
 
 3221 
 
 3268 
 
 
 
 919 
 
 33i6 
 
 3363 
 
 3410 
 
 3457 
 
 35o4 
 
 3552 
 
 3599 
 
 3646 
 
 3693 
 
 3741 
 
 
 
 920 
 
 3788 
 
 3835 
 
 3882 
 
 3929 
 
 3977 
 
 4024 
 
 4071 
 
 4ii8 
 
 4i65 
 
 4212 
 
 
 
 921 
 
 4260 
 
 4307 
 
 4354 
 
 44oi 
 
 4448 
 
 4495 
 
 4542 
 
 4590 
 
 4637 
 
 4684 
 
 
 
 922 
 
 4731 
 
 4778 
 
 4825 
 
 4872 
 
 4919 
 
 4966 
 
 5oi3 
 
 5o6i 
 
 5 1 08 
 
 5i55 
 
 
 
 923 
 
 5202 
 
 5249 
 
 5296 
 
 5343 
 
 5390 
 
 5437 
 
 5484 
 
 553i 
 
 5578 
 
 5625 
 
 
 
 924 
 
 5672 
 
 5719 
 
 5766 
 
 58i3 
 
 586o 
 
 5907 
 
 5954 
 
 6001 
 
 6o48 
 
 6095 
 
 
 
 925 
 
 6142 
 
 6189 
 
 6236 
 
 6283 
 
 6329 
 
 6376 
 
 6423 
 
 6470 
 
 65i7 
 
 6564 
 
 
 
 926 
 
 661I 
 
 6658 
 
 6705 
 
 6752 
 
 6799 
 
 6845 
 
 6892 
 
 6939 
 
 6986 
 
 7033 
 
 
 
 927 
 
 7080 
 
 7127 
 
 7173 
 
 7220 
 
 7267 
 
 73i4 
 
 7361 
 
 7408 
 
 7454 
 
 75oi 
 
 
 
 928 
 
 7548 
 
 7595 
 
 7642 
 
 7688 
 
 7735 
 
 7782 
 
 7829 
 
 7875 
 
 7922 
 
 7969 
 
 
 
 929 
 
 8016 
 
 8062 
 
 8109 
 
 8i56 
 
 8203 
 
 8249 
 
 8296 
 
 8343 
 
 8390 
 
 8436 
 
 
 
 g3o 
 
 8483 
 
 853o 
 
 8576 
 
 8623 
 
 8670 
 
 8716 
 
 8763 
 
 8810 
 
 8856 
 
 8903 
 
 
 
 931 
 
 8950 
 
 8996 
 
 9043 
 
 9090 
 
 9i36 
 
 9183 
 
 9229 
 
 9276 
 
 9323 
 
 9369 
 
 
 
 932 
 
 9416 
 
 9463 
 
 9509 
 
 9556 
 
 9602 
 
 9649 
 
 9695 
 
 9742 
 
 9789 
 
 9835 
 
 
 
 933 
 
 9882 
 
 9928 
 
 9975 
 
 . .21 
 
 ..68 
 
 .114 
 
 .161 
 
 .207 
 
 .254 
 
 .3oo 
 
 
 
 934 
 
 970347 
 
 0393 
 
 o44o 
 
 o486 
 
 o533 
 
 0579 
 
 0626 
 
 0672 
 
 0719 
 
 0765 
 
 46 
 
 
 935 
 
 0812 
 
 o858 
 
 0904 
 
 0951 
 
 0997 
 
 io44 
 
 1090 
 
 1137 
 
 ii83 
 
 1229 
 
 
 
 936 
 
 1276 
 
 l322 
 
 1369 
 
 i4i5 
 
 i46i 
 
 i5o8 
 
 i554 
 
 1601 
 
 1647 
 
 1693 
 
 
 
 937 
 
 1740 
 
 1786 
 
 i832 
 
 1879 
 
 1925 
 
 1971 
 
 2018 
 
 2064 
 
 21 10 
 
 2157 
 
 
 
 938 
 
 2203 
 
 2249 
 
 2295 
 
 2342 
 
 2388 
 
 2434 
 
 2481 
 
 2527 
 
 2573 
 
 2619 
 
 
 
 939 
 
 2666 
 
 2712 
 
 2758 
 
 2804 
 
 285i 
 
 2897 
 
 2943 
 
 2989 
 
 3o35 
 
 3082 
 
 
 
 940 
 
 3 1 28 
 
 3174 
 
 3220 
 
 3266 
 
 33i3 
 
 3359 
 
 34o5 
 
 345i 
 
 3497 
 
 3543 
 
 
 
 941 
 
 3590 
 
 3636 
 
 3632 
 
 3728 
 
 3774 
 
 3820 
 
 3866 
 
 3913 
 
 3959 
 
 4oo5 
 
 
 
 942 
 
 4o5i 
 
 4097 
 
 4i43 
 
 4189 
 
 4235 
 
 4281 
 
 4327 
 
 4374 
 
 4420 
 
 4466 
 
 
 
 943 
 
 45i2 4558 
 
 46o4 
 
 465o 
 
 4696 
 
 4742 
 
 4788 
 
 4834 
 
 4880 
 
 4926 
 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 b 
 ,* 
 
 '48 ^^ r 5 
 
 ID 
 
 i4 
 
 19 
 
 24 
 
 29 
 
 34 
 
 38 
 
 43 
 
 
 
 sa . 
 
 47 P^ 5 
 
 9 
 
 i4 
 
 19 
 
 24 
 
 28 
 
 33 
 
 38 
 
 42 
 
 
 
 Q 
 
 46 Ph [ 5 
 
 9 
 
 i4 
 
 18 
 
 23 
 
 28 
 
 32 
 
 37 
 
 4i 
 
 
20 
 
 Logarithms of Numbers. 
 
 N. 
 
 944 
 945 
 946 
 
 947 
 948 
 
 949 
 960 
 
 951 
 962 
 953 
 
 954 
 955 
 956 
 957 
 958 
 959 
 960 
 961 
 962 
 963 
 
 964 
 965 
 966 
 967 
 968 
 969 
 970 
 
 97' 
 972 
 
 973 
 
 974 
 975 
 976 
 
 977 
 
 978 
 
 979 
 980 
 
 981 
 
 982 
 
 983 
 
 984 
 985 
 986 
 9S7 
 98S 
 989 
 990 
 991 
 992 
 993 
 
 994 
 995 
 996 
 
 997 
 998 
 
 999 
 
 
 
 974972 
 5432 
 5891 
 635o 
 6808 
 7266 
 7724 
 8181 
 8637 
 9093 
 
 9548 
 980003 
 o458 
 0912 
 1 366 
 1819 
 2271 
 2723 
 3175 
 3626 
 
 4077 
 4527 
 
 4977 
 5426 
 5375 
 6324 
 6772 
 7219 
 7666 
 8ii3 
 
 8559 
 9005 
 9450 
 9895 
 990339 
 0783 
 1226 
 1669 
 21 1 1 
 2554 
 
 2995 
 3436 
 
 3877 
 4317 
 
 4757 
 5196 
 5635 
 6074 
 65i2 
 6949 
 
 7386 
 7823 
 8259 
 8695 
 9i3i 
 9565 
 
 1 
 
 5oib 
 5478 
 5937 
 6396 
 6854 
 7312 
 
 7769 
 8226 
 8683 
 9i38 
 
 9594 
 oo49 
 o5o3 
 0957 
 i4ii 
 1864 
 23 1 6 
 2769 
 
 3220 
 
 3671 
 
 4l22 
 
 4572 
 5022 
 
 5471 
 5920 
 
 6369 
 6817 
 7264 
 7711 
 8157 
 
 86o4 
 9049 
 9494 
 9939 
 o383 
 0827 
 1270 
 1713 
 2i56 
 2598 
 
 3o39 
 3480 
 3921 
 436i 
 4801 
 524o 
 5679 
 61 17 
 6555 
 6993 
 
 7430 
 7867 
 83o3 
 8739 
 9174 
 9609 
 
 N. 
 
 
 
 5o64 
 5524 
 5983 
 6442 
 6900 
 7358 
 7815 
 8272 
 8728 
 9184 
 
 9639 
 0094 
 o549 
 ioo3 
 i456 
 1909 
 2362 
 
 2814 
 3265 
 3716 
 
 4167 
 4617 
 5067 
 55i6 
 5965 
 64i3 
 6861 
 7309 
 7756 
 8202 
 
 8648 
 9094 
 9539 
 9983 
 0428 
 0871 
 !3i5 
 1758 
 2200 
 2642 
 
 3o83 
 3524 
 3965 
 44o5 
 4845 
 5284 
 5723 
 6161 
 65gg 
 7037 
 
 7474 
 7910 
 
 8347 
 8782 
 9218 
 9652 
 
 5i 10 
 5570 
 6029 
 6488 
 6946 
 74o3 
 7861 
 83i7 
 8774 
 9230 
 
 9685 
 oi4o 
 0594 
 io48 
 i5oi 
 1954 
 2407 
 2859 
 33io 
 3762 
 
 4212 
 4662 
 
 5U2 
 
 556i 
 6010 
 6458 
 6906 
 7353 
 7800 
 8247 
 
 8693 
 9i38 
 9583 
 ..28 
 0472 
 eg 1 6 
 i35g 
 1802 
 2244 
 2686 
 
 3127 
 
 3568 
 4009 
 
 4449 
 4889 
 5328 
 5767 
 6205 
 6643 
 7080 
 
 7517 
 7954 
 8390 
 8826 
 9261 
 9696 
 
 1 
 
 5g 
 
 r46 
 
 ti 
 
 45 
 
 u 
 
 44 
 
 Ph ■ 
 
 43 
 
 Oh 
 
 5 
 4 
 
 4 
 
 9 
 9 
 9 
 9 
 
 5i56 
 56i6 
 6075 
 6533 
 6992 
 7449 
 7906 
 8363 
 8819 
 9275 
 
 9730 
 oi85 
 o64o 
 1093 
 
 i547 
 2000 
 
 2452 
 2904 
 3356 
 3807 
 
 4267 
 4707 
 5i57 
 56o6 
 6o55 
 65o3 
 6951 
 7398 
 7845 
 8291 
 
 8737 
 9183 
 9628 
 ..72 
 o5i6 
 0960 
 i4o3 
 i846 
 2288 
 2730 
 
 3172 
 36i3 
 4o53 
 
 4493 
 4933 
 5372 
 58ii 
 6249 
 6687 
 7124 
 
 7561 
 7998 
 8434 
 8869 
 93o5 
 9739 
 
 i4 
 i4 
 i3 
 i3 
 
 9 
 
 18 
 18 
 18 
 
 17 
 
 5202 
 
 5662 
 6121 
 6579 
 7037 
 7495 
 7952 
 8409 
 8865 
 9321 
 
 9776 
 
 023l 
 
 o685 
 1 139 
 1592 
 2o45 
 
 2497 
 2949 
 3401 
 3852 
 
 43o2 
 
 4752 
 
 5202 
 
 565i 
 6100 
 6548 
 6996 
 7443 
 7890 
 8336 
 
 8782 
 9227 
 9672 
 .117 
 o56i 
 ioo4 
 i448 
 1890 
 2333 
 2774 
 
 3216 
 
 3657 
 4097 
 4537 
 
 4977 
 5416 
 
 5854 
 6293 
 6731 
 7168 
 
 7605 
 
 8o4i 
 
 8477 
 8913 
 
 9348 
 
 9783 
 
 5248 
 5707 
 6167 
 6625 
 7083 
 7541 
 7998 
 
 8454 
 8911 
 9366 
 
 9821 
 0276 
 0730 
 
 ii84 
 1637 
 2090 
 2543 
 2994 
 3446 
 3897 
 
 4347 
 4797 
 5247 
 5696 
 
 6i44 
 6593 
 7o4o 
 7488 
 7934 
 838i 
 
 8826 
 9272 
 9717 
 .161 
 o6o5 
 1049 
 1492 
 1935 
 2377 
 2819 
 
 3260 
 3701 
 
 4i4i 
 458i 
 5 02 1 
 5460 
 5898 
 6337 
 
 6774 
 7212 
 
 7648 
 8o85 
 852 1 
 8956 
 9392 
 9826 
 
 23 
 23 
 22 
 22 
 
 5294 
 5753 
 6212 
 6671 
 7129 
 
 7586 
 8043 
 85oo 
 8956 
 9412 
 
 9867 
 
 o322 
 
 0776 
 1229 
 
 i683 
 2i35 
 2588 
 3o4o 
 3491 
 3942 
 
 4392 
 
 4842 
 6292 
 5741 
 6189 
 6637 
 7085 
 7532 
 
 7979 
 8425 
 
 8871 
 9316 
 9761 
 .206 
 o65o 
 1093 
 i536 
 1979 
 2421 
 2863 
 
 33o4 
 
 3745 
 4i85 
 4625 
 5o65 
 55o4 
 5942 
 638o 
 6818 
 7255 
 
 7692 
 8129 
 8564 
 9000 
 9435 
 9870 
 
 5340 
 5799 
 6258 
 6717 
 7175 
 7632 
 8089 
 8546 
 9002 
 9457 
 
 9912 
 0367 
 0821 
 1275 
 
 1728 
 
 2l8t 
 
 2633 
 3o85 
 3536 
 3987 
 
 4437 
 4887 
 5337 
 5786 
 6234 
 6682 
 7i3o 
 7577 
 8024 
 8470 
 
 8916 
 9361 
 9806 
 .25o 
 0694 
 1 137 
 i58o 
 
 2023 
 
 2465 
 2907 
 
 3348 
 3789 
 4229 
 4669 
 5io8 
 
 5547 
 5986 
 
 6424 
 6862 
 7299 
 
 7736 
 8172 
 8608 
 9043 
 
 9479 
 99i3 
 
 5386 
 5845 
 63o4 
 6763 
 7220 
 7678 
 8i35 
 8591 
 9047 
 95o3 
 
 9958 
 
 o4l2 
 0867 
 l320 
 
 1773 
 
 2226 
 
 2678 
 
 3i3o 
 358i 
 4o32 
 
 4482 
 493: 
 
 5382 
 583o 
 6279 
 6727 
 7175 
 7622 
 8068 
 85i4 
 
 8960 
 94o5 
 9850 
 .294 
 0738 
 1182 
 1625 
 2067 
 2509 
 2951 
 
 3392 
 
 3833 
 4273 
 4713 
 5i52 
 5591 
 6o3o 
 6468 
 6906 
 7343 
 
 7779 
 8216 
 
 8652 
 
 9087 
 
 9522 
 
 9957 
 
 D. 
 
 "46" 
 
 45 
 
 44 
 
 43 
 
 6 
 
 28 
 27 
 26 
 26 
 
 9 
 
 D. 
 
 32 
 32 
 
 3i 
 3o 
 
 37 
 36 
 35 
 34 
 
 4i 
 4i 
 40 
 39 
 
TABLE 
 
 OP 
 
 LOGARITHMIC SINES AND TANGENTS 
 
 FOR EVERY 
 
 TEN SECONDS OF THE QUADRANT. 
 
22 
 
 LOGAEITHMIC SiNES. 
 
 Min. 
 
 
 
 Sine of 
 
 Degree. 
 
 
 
 
 P. Part 
 to 1". 
 
 0" 
 
 10" 
 
 30" 
 
 30" 
 
 40" 
 
 50" 
 
 o 
 
 luf. Neg. 
 
 5.685575 
 
 5.986605 
 
 6. 162696 
 
 6.287635 
 
 6.384545 
 
 59 
 
 
 I 
 
 6.463726 
 
 6.530673 
 
 6.588665 
 
 639817 
 
 685575 
 
 726968 
 
 58 
 
 
 2 
 
 764756 
 
 799518 
 
 83i7o3 
 
 861666 
 
 889695 
 
 916024 
 
 57 
 
 
 3 
 
 940847 
 
 964328 
 
 986605 
 
 7.007794 
 
 7.027997 
 
 7.o473o3 
 
 56 
 
 
 4 
 
 7.065786 
 
 7.o835i5 
 
 7. ioo548 
 
 116939 
 
 132733 
 
 147973 
 
 55 
 
 
 5 
 
 162696 
 
 176936 
 
 190725 
 
 204089 
 
 217054 
 
 229643 
 
 54 
 
 
 6 
 
 241877 
 
 253776 
 
 265358 
 
 276639 
 
 287635 
 
 298358 
 
 53 
 
 
 7 
 
 308824 
 
 319043 
 
 329027 
 
 338787 
 
 348332 
 
 357672 
 
 52 
 
 
 8 
 
 3668i6 
 
 375771 
 
 384544 
 
 393145 
 
 401578 
 
 409850 
 
 5i 
 
 
 9 
 
 417968 
 
 425937 
 
 433762 
 
 441449 
 
 449002 
 
 456426 
 
 5o 
 
 
 lO 
 
 463726 
 
 470904 
 
 477966 
 
 484915 
 
 491754 
 
 498488 
 
 49 
 
 689.4 
 
 II 
 
 5o5ii8 
 
 5ii649 
 
 5i8o83 
 
 524423 
 
 530672 
 
 536832 
 
 48 
 
 629.4 
 
 12 
 
 542906 
 
 548897 
 
 554806 
 
 56o635 
 
 566387 
 
 572065 
 
 47 
 
 579.1 
 
 i3 
 
 577668 
 
 583201 
 
 588664 
 
 594059 
 
 599388 
 
 6o4652 
 
 46 
 
 536.2 
 
 i4 
 
 609853 
 
 614993 
 
 620072 
 
 625093 
 
 63oo56 
 
 634964 
 
 45 
 
 499.2 
 
 i5 
 
 639816 
 
 6446i5 
 
 649361 
 
 654o56 
 
 658701 
 
 663297 
 
 44 
 
 467.0 
 
 i6 
 
 667845 
 
 672345 
 
 676799 
 
 681208 
 
 685573 
 
 689895 
 
 43 
 
 438.7 
 
 I? 
 
 694173 
 
 698410 
 
 702606 
 
 706762 
 
 710879 
 
 714957 
 
 42 
 
 4i3.6 
 
 i8 
 
 718997 
 
 722999 
 
 726965 
 
 730896 
 
 734791 
 
 738651 
 
 4i 
 
 391.3 
 
 19 
 
 742478 
 
 746270 
 
 75oo3i 
 
 753758 
 
 757455 
 
 761119 
 
 4o 
 
 371 .2 
 
 20 
 
 764754 
 
 768358 
 
 771932 
 
 775477 
 
 778994 
 
 782482 
 
 39 
 
 353.1 
 
 21 
 
 785943 
 
 789376 
 
 792782 
 
 796162 
 
 7995i5 
 
 802843 
 
 38 
 
 336.7 
 
 22 
 
 8o6i46 
 
 809423 
 
 812677 
 
 815906 
 
 81911 1 
 
 822292 
 
 37 
 
 321.7 
 
 23 
 
 825451 
 
 828586 
 
 831700 
 
 834791 
 
 837860 
 
 840907 
 
 36 
 
 3o8.o 
 
 24 
 
 843934 
 
 846939 
 
 849924 
 
 852889 
 
 855833 
 
 858757 
 
 35 
 
 295.4 
 
 25 
 
 861662 
 
 864548 
 
 867415 
 
 870262 
 
 873092 
 
 875902 
 
 34 
 
 283.8 
 
 26 
 
 878695 
 
 881470 
 
 884228 
 
 886968 
 
 889690 
 
 892396 
 
 33 
 
 273.1 
 
 27 
 
 895085 
 
 897758 
 
 900414 
 
 9o3o54 
 
 905678 
 
 908287 
 
 32 
 
 263.2 
 
 28 
 
 910879 
 
 913457 
 
 916019 
 
 918566 
 
 921098 
 
 923616 
 
 3i 
 
 254.0 
 
 29 
 
 926119 
 
 928608 
 
 931082 
 
 933543 
 
 935989 
 
 938422 
 
 3o 
 
 245.4 
 
 3o 
 
 940842 
 
 943248 
 
 945641 
 
 948020 
 
 95o387 
 
 952741 
 
 29 
 
 237.3 
 
 3i 
 
 955082 
 
 957411 
 
 959727 
 
 962031 
 
 964322 
 
 966602 
 
 28 
 
 229.8 
 
 32 
 
 968870 
 
 971126 
 
 973370 
 
 9756o3 
 
 977824 
 
 980034 
 
 27 
 
 222.7 
 
 33 
 
 982233 
 
 984421 
 
 986598 
 
 988764 
 
 990919 
 
 993064 
 
 26 
 
 216. 1 
 
 34 
 
 995198 
 
 997322 
 
 999435 
 
 8.001538 
 
 8. oo363i 
 
 8.005714 
 
 25 
 
 209.8 
 
 35 
 
 8.007787 
 
 8.009850 
 
 8.011903 
 
 013947 
 
 015981 
 
 oi8oo5 
 
 24 
 
 203.9 
 
 36 
 
 020021 
 
 022027 
 
 024023 
 
 026011 
 
 027989 
 
 029959 
 
 23 
 
 198.3 
 
 37 
 
 031919 
 
 033871 
 
 o358i4 
 
 037749 
 
 039675 
 
 041592 
 
 22 
 
 193.0 
 
 38 
 
 o435oi 
 
 o454oi 
 
 047294 
 
 049178 
 
 o5io54 
 
 052922 
 
 21 
 
 188.0 
 
 39 
 
 054781 
 
 056633 
 
 o58477 
 
 o6o3i4 
 
 062142 
 
 063963 
 
 20 
 
 i83.2 
 
 4o 
 
 065776 
 
 067582 
 
 069380 
 
 071 171 
 
 072955 
 
 074731 
 
 19 
 
 178.7 
 
 4i 
 
 076500 
 
 078261 
 
 080016 
 
 081764 
 
 o835o4 
 
 085238 
 
 18 
 
 174.4 
 
 42 
 
 086965 
 
 088684 
 
 090398 
 
 092104 
 
 093804 
 
 095497 
 
 17 
 
 170.3 
 
 43 
 
 097183 
 
 098863 
 
 100537 
 
 102204 
 
 103864 
 
 io55i9 
 
 16 
 
 166.4 
 
 44 
 
 107167 
 
 108809 
 
 110444 
 
 112074 
 
 113697 
 
 ii53i5 
 
 i5 
 
 162.6 
 
 45 
 
 1 16926 
 
 118532 
 
 120l3l 
 
 121725 
 
 I233i3 
 
 124895 
 
 i4 
 
 159. 1 
 
 46 
 
 126471 
 
 128042 
 
 129607 
 
 i3ii66 
 
 132720 
 
 134268 
 
 i3 
 
 155.6 
 
 47 
 
 i358io 
 
 137348 
 
 138879 
 
 i4o4o6 
 
 141927 
 
 143443 
 
 12 
 
 i52.4 
 
 48 
 
 144953 
 
 146458 
 
 147959 
 
 149453 
 
 150943 
 
 152428 
 
 11 
 
 149.2 
 
 49 
 
 153907 
 
 i55382 
 
 156852 
 
 i583i6 
 
 159776 
 
 i6i23i 
 
 10 
 
 i46.2 
 
 5o 
 
 162681 
 
 164126 
 
 165566 
 
 167002 
 
 168433 
 
 169859 
 
 9 
 
 143.3 
 
 5i 
 
 r 
 
 171280 
 
 172697 
 
 1 74 1 09 
 
 175517 
 
 176920 
 
 178319 
 
 8 
 
 i4o.5 
 
 52 
 
 179713 
 
 i8iio3 
 
 182488 
 
 183869 
 
 185245 
 
 186617 
 
 7 
 
 137.9 
 
 53 
 
 187985 
 
 189348 
 
 190707 
 
 192062 
 
 193413 
 
 194760 
 
 6 
 
 135.3 
 
 54 
 
 196102 
 
 197440 
 
 198774 
 
 200104 
 
 2oi43o 
 
 202752 
 
 5 
 
 i32.8 
 
 55 
 
 204070 
 
 2o5384 
 
 206694 
 
 208000 
 
 209302 
 
 210601 
 
 4 
 
 i3o.4 
 
 56 
 
 211895 
 
 2i3i85 
 
 214472 
 
 215755 
 
 217034 
 
 218309 
 
 3 
 
 128. 1 
 
 57 
 
 219581 
 
 220849 
 
 2221l3 
 
 223374 
 
 224631 
 
 225884 
 
 2 
 
 125.9 
 
 58 
 
 227134 
 
 22838o 
 
 229622 
 
 23o86i 
 
 232096 
 
 233328 
 
 1 
 
 123.7 
 
 59 
 
 234557 
 
 235782 
 
 237003 
 
 238221 
 
 239436 
 
 240647 
 
 
 
 121 .6 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 Min. 
 
 
 
 Cc 
 
 )-sine of ^ 
 
 19 Degree 
 
 3, 
 
 

 
 L( 
 
 3GAEITHMI0 TaNGENTS 
 
 • 
 
 
 23 
 
 Min. 
 
 
 Tangent of 
 
 Degree 
 
 1 
 
 
 
 p. Part 
 to 1." 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 o 
 
 luf. Neg. 
 
 5.685575 
 
 5.986605 
 
 6. 162696 
 
 6.287635 
 
 6 384545 
 
 59 
 
 
 I 
 
 6.463726 
 
 6.530673 
 
 6.588665 
 
 6398x7 
 
 685575 
 
 726968 
 
 58 
 
 
 2 
 
 764756 
 
 7995x8 
 
 83i7o3 
 
 861666 
 
 889695 
 
 9x6024 
 
 57 
 
 
 3 
 
 940847 
 
 964329 
 
 986605 
 
 7.007794 
 
 7.027998 
 
 7.047303 
 
 56 
 
 
 4 
 
 7.065786 
 
 7.o835x5 
 
 7. ioo548 
 
 1x6939 
 
 132733 
 
 147973 
 
 55 
 
 
 5 
 
 162696 
 
 176937 
 
 190725 
 
 204089 
 
 2x7054 
 
 229643 
 
 54 
 
 
 6 
 
 241878 
 
 253777 
 
 265359 
 
 276640 
 
 287635 
 
 298359 
 
 53 
 
 
 7 
 
 308825 
 
 3x9044 
 
 329028 
 
 338788 
 
 348333 
 
 357673 
 
 52 
 
 
 8 
 
 3668x7 
 
 375772 
 
 384546 
 
 393x46 
 
 4oi579 
 
 409852 
 
 5i 
 
 
 9 
 
 417970 
 
 425939 
 
 433764 
 
 44i45i 
 
 449004 
 
 456428 
 
 5o 
 
 
 lO 
 
 463727 
 
 470906 
 
 477968 
 
 484917 
 
 491756 
 
 498490 
 
 49 
 
 689.4 
 
 II 
 
 5o5i2o 
 
 5ix65i 
 
 5i8o85 
 
 524426 
 
 530675 
 
 536835 
 
 48 
 
 629.4 
 
 12 
 
 542909 
 
 548900 
 
 554808 
 
 56o638 
 
 566390 
 
 572068 
 
 47 
 
 679.1 
 
 i3 
 
 577672 
 
 583204 
 
 58S667 
 
 594062 
 
 599391 
 
 6o4655 
 
 46 
 
 536.2 
 
 i4 
 
 609857 
 
 614996 
 
 620076 
 
 625097 
 
 63oo6o 
 
 634968 
 
 45 
 
 499.2 
 
 i5 
 
 639820 
 
 644619 
 
 649366 
 
 654o6x 
 
 658706 
 
 6633o2 
 
 44 
 
 467.0 
 
 i6 
 
 667849 
 
 672350 
 
 676804 
 
 68x2x3 
 
 685578 
 
 689900 
 
 43 
 
 438.7 
 
 I? 
 
 694179 
 
 6984x6 
 
 7026x2 
 
 706768 
 
 710885 
 
 714963 
 
 42 
 
 4i3.6 
 
 i8 
 
 719003 
 
 723oo5 
 
 726972 
 
 730902 
 
 734797 
 
 738658 
 
 4i 
 
 391.3 
 
 '9 
 
 742484 
 
 746277 
 
 750037 
 
 753765 
 
 757462 
 
 761127 
 
 4o 
 
 371.2 
 
 20 
 
 764761 
 
 768365 
 
 771940 
 
 775485 
 
 779002 
 
 782490 
 
 39 
 
 353.1 
 
 21 
 
 785951 
 
 789384 
 
 792790 
 
 796170 
 
 799524 
 
 802852 
 
 38 
 
 336.7 
 
 22 
 
 8o6i55 
 
 809433 
 
 812686 
 
 8x59x5 
 
 819120 
 
 822302 
 
 37 
 
 321.7 
 
 23 
 
 825460 
 
 828596 
 
 83x7X0 
 
 83480I 
 
 837870 
 
 8409x8 
 
 36 
 
 3o8.o 
 
 24 
 
 843944 
 
 846950 
 
 849935 
 
 852900 
 
 855844 
 
 858769 
 
 35 
 
 295.4 
 
 25 
 
 861674 
 
 86456o 
 
 867426 
 
 870274 
 
 873x04 
 
 8759x5 
 
 34 
 
 283.9 
 
 26 
 
 878708 
 
 88x483 
 
 884240 
 
 886981 
 
 889704 
 
 8924x0 
 
 33 
 
 273.2 
 
 27 
 
 895099 
 
 897772 
 
 900428 
 
 9o3o68 
 
 905692 
 
 908301 
 
 32 
 
 263.2 
 
 28 
 
 910894 
 
 913471 
 
 9x6034 
 
 9i858x 
 
 921x13 
 
 923631 
 
 3i 
 
 254.0 
 
 29 
 
 926134 
 
 928623 
 
 93x098 
 
 933559 
 
 936006 
 
 938439 
 
 3o 
 
 245.4 
 
 3o 
 
 94o858 
 
 943265 
 
 945658 
 
 948037 
 
 95o4o4 
 
 952758 
 
 29 
 
 237.3 
 
 3i 
 
 955100 
 
 957428 
 
 959745 
 
 962049 
 
 964341 
 
 96662X 
 
 28 
 
 229.8 
 
 32 
 
 968889 
 
 97x145 
 
 973389 
 
 975622 
 
 977844 
 
 980054 
 
 27 
 
 222.7 
 
 33 
 
 982253 
 
 984441 
 
 986618 
 
 988785 
 
 990940 
 
 993o85 
 
 26 
 
 216.2 
 
 34 
 
 995219 
 
 997343 
 
 999457 
 
 8.oox56o 
 
 8.003653 
 
 8.005736 
 
 25 
 
 209.8 
 
 35 
 
 8.007809 
 
 8.009872 
 
 8.01 X926 
 
 0x3970 
 
 ox6oo4 
 
 018029 
 
 24 
 
 203.9 
 
 36 
 
 020044 
 
 02205x 
 
 o24o48 
 
 026035 
 
 028014 
 
 029984 
 
 23 
 
 198.3 
 
 37 
 
 031945 
 
 033897 
 
 o3584o 
 
 037775 
 
 03970X 
 
 o4x6i8 
 
 22 
 
 193.0 
 
 38 
 
 043527 
 
 045428 
 
 04732X 
 
 049205 
 
 o5xo8i 
 
 052949 
 
 21 
 
 188.0 
 
 39 
 
 054809 
 
 o56662 
 
 o585o6 
 
 060342 
 
 062171 
 
 063992 
 
 20 
 
 183.3 
 
 4o 
 
 o658o6 
 
 067612 
 
 069410 
 
 07x201 
 
 072985 
 
 074761 
 
 19 
 
 178.7 
 
 4i 
 
 076531 
 
 078293 
 
 080047 
 
 08x795 
 
 083536 
 
 085270 
 
 x8 
 
 174.4 
 
 42 
 
 086997 
 
 088717 
 
 09043X 
 
 092137 
 
 093837 
 
 095530 
 
 17 
 
 170.3 
 
 43 
 
 097217 
 
 098897 
 
 100571 
 
 102239 
 
 103900 
 
 I05554 
 
 16 
 
 166.4 
 
 44 
 
 107203 
 
 108845 
 
 iio48x 
 
 1121x0 
 
 1x3734 
 
 115352 
 
 i5 
 
 162.7 
 
 45 
 
 116963 
 
 1x8569 
 
 120169 
 
 121763 
 
 X2335i 
 
 124933 
 
 i4 
 
 169. 1 
 
 46 
 
 i265io 
 
 12808X 
 
 129646 
 
 i3x2o6 
 
 132760 
 
 1 34308 
 
 i3 
 
 155.7 
 
 47 
 
 i3585i 
 
 137389 
 
 13892X 
 
 i4o447 
 
 141969 
 
 X43485 
 
 12 
 
 i52.4 
 
 48 
 
 144996 
 
 i465ox 
 
 148001 
 
 149497 
 
 150987 
 
 152472 
 
 II 
 
 149.3 
 
 49 
 
 153952 
 
 155426 
 
 156896 
 
 i5836i 
 
 159821 
 
 161276 
 
 10 
 
 l46.2 
 
 5o 
 
 162727 
 
 164172 
 
 i656i3 
 
 167049 
 
 168480 
 
 169906 
 
 9 
 
 143.4 
 
 5i 
 
 171328 
 
 172745 
 
 I74i58 
 
 175566 
 
 176969 
 
 178368 
 
 8 
 
 x4o.6 
 
 52 
 
 179763 
 
 i8ii53 
 
 182538 
 
 1839x9 
 
 185296 
 
 186668 
 
 7 
 
 137.9 
 
 53 
 
 i88o36 
 
 189400 
 
 190760 
 
 1921x5 
 
 193466 
 
 194813 
 
 6 
 
 i35.3 
 
 54 
 
 196156 
 
 197494 
 
 X98829 
 
 200x59 
 
 201485 
 
 202808 
 
 5 
 
 i32.8 
 
 55 
 
 204126 
 
 2o544o 
 
 206750 
 
 208057 
 
 209359 
 
 2X0658 
 
 4 
 
 i3o.4 
 
 56 
 
 211953 
 
 2X3243 
 
 2i453o 
 
 2x58x4 
 
 217093 
 
 2x8369 
 
 3 
 
 128. I 
 
 57 
 
 2 1 964 1 
 
 220909 
 
 222x74 
 
 223434 
 
 224692 
 
 225945 
 
 2 
 
 125.9 
 
 58 
 
 227195 
 
 228442 
 
 229685 
 
 230924 
 
 232160 
 
 233392 
 
 I 
 
 123.8 
 
 59 
 
 234621 
 
 235846 
 
 237068 
 
 238286 
 
 239502 
 
 240713 
 
 
 
 121 .7 
 
 
 60" 
 
 50" 
 
 40" 
 
 1 30" 
 
 20" 
 
 10" 
 
 Min. 
 
 
 
 Co- 
 
 tangent 
 
 f 89 Degr 
 
 ees. 
 
 
24 
 
 
 
 Logarithmic » 
 
 Sines. 
 
 
 
 
 Min. 
 
 
 
 Sine of 
 
 I Degree. 
 
 
 
 
 P. Part 
 to 1". 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 o 
 
 8.24i855 
 
 8.243060 
 
 8.244261 
 
 8.245459 
 
 8.246654 
 
 8.247845 
 
 69 
 
 119.6 
 
 I 
 
 249033 
 
 25o2l8 
 
 25i4oo 
 
 252578 
 
 253753 
 
 264926 
 
 68 
 
 117.7 
 
 o 
 
 256094 
 
 257260 
 
 258423 
 
 259582 
 
 260739 
 
 261892 
 
 57 
 
 116.8 
 
 3 
 
 263o42 
 
 264190 
 
 265334 
 
 266475 
 
 267613 
 
 268749 
 
 56 
 
 114.0 
 
 4 
 
 269881 
 
 27IOIO 
 
 272137 
 
 273260 
 
 274381 
 
 276499 
 
 65 
 
 1 12.2 
 
 5 
 
 276614 
 
 277726 
 
 278835 
 
 279941 
 
 281045 
 
 282145 
 
 54 
 
 1 10.5 
 
 6 
 
 283243 
 
 284339 
 
 285431 
 
 286521 
 
 287608 
 
 288692 
 
 63 
 
 108.8 
 
 7 
 
 289773 
 
 290852 
 
 291928 
 
 293002 
 
 294073 
 
 296141 
 
 52 
 
 107.2 
 
 8 
 
 296207 
 
 297270 
 
 298330 
 
 299388 
 
 3oo443 
 
 301496 
 
 5i 
 
 106.7 
 
 9 
 
 3o2546 
 
 303594 
 
 3o4639 
 
 3o568i 
 
 306721 
 
 307769 
 
 5o 
 
 104.1 
 
 lO 
 
 8.308794 
 
 8.309827 
 
 8.3io857 
 
 8.3ii885 
 
 8.312910 
 
 8.313933 
 
 49 
 
 102.6 
 
 II 
 
 314954 
 
 315972 
 
 316987 
 
 3i8ooi 
 
 319012 
 
 320021 
 
 48 
 
 101 .2 
 
 12 
 
 321027 
 
 32203l 
 
 323o33 
 
 324o32 
 
 325029 
 
 326024 
 
 47 
 
 99.8 
 
 i3 
 
 327016 
 
 328007 
 
 328995 
 
 329980 
 
 330964 
 
 331945 
 
 46 
 
 98.5 
 
 i4 
 
 332924 
 
 333901 
 
 334876 
 
 335848 
 
 336819 
 
 337787 
 
 46 
 
 97.1 
 
 i5 
 
 338753 
 
 339717 
 
 340679 
 
 34i638 
 
 342596 
 
 343651 
 
 44 
 
 96.8 
 
 i6 
 
 3445o4 
 
 345456 
 
 3464o5 
 
 347352 
 
 348297 
 
 349240 
 
 43 
 
 94.6 
 
 I? 
 
 35oi8i 
 
 35i 119 
 
 352o56 
 
 352991 
 
 353924 
 
 354865 
 
 42 
 
 93.4 
 
 i8 
 
 355783 
 
 356710 
 
 357635 
 
 358558 
 
 359479 
 
 360398 
 
 4i 
 
 92.2 
 
 19 
 
 36i3i5 
 
 36223o 
 
 363i43 
 
 364o55 
 
 364964 
 
 366871 
 
 4o 
 
 91 .0 
 
 20 
 
 8.366777 
 
 8.367681 
 
 8.368582 
 
 8.369482 
 
 8.370380 
 
 8.371277 
 
 39 
 
 89.9 
 
 21 
 
 372171 
 
 373063 
 
 373954 
 
 374843 
 
 375730 
 
 376616 
 
 38 
 
 88.8 
 
 22 
 
 377499 
 
 378380 
 
 379260 
 
 38oi38 
 
 38ioi5 
 
 381889 
 
 37 
 
 87.7 
 
 23 
 
 382762 
 
 383633 
 
 3845o2 
 
 385370 
 
 386236 
 
 387100 
 
 36 
 
 86.7 
 
 24 
 
 387962 
 
 388823 
 
 389682 
 
 390539 
 
 391395 
 
 392249 
 
 36 
 
 86.6 
 
 25 
 
 393101 
 
 393951 
 
 394800 
 
 395647 
 
 396493 
 
 397337 
 
 34 
 
 84.6 
 
 26 
 
 398179 
 
 399020 
 
 399859 
 
 400696 
 
 4oi532 
 
 402366 
 
 33 
 
 83.7 
 
 27 
 
 4o3i99 
 
 4o4o3o 
 
 4o4859 
 
 405687 
 
 4o65i4 
 
 407338 
 
 32 
 
 82.7 
 
 28 
 
 408161 
 
 408983 
 
 409803 
 
 410621 
 
 4ii438 
 
 412264 
 
 3i 
 
 81.8 
 
 29 
 
 4i3o68 
 
 4i388o 
 
 414691 
 
 4i55oo 
 
 4i63o8 
 
 417114 
 
 3o 
 
 80.8 
 
 3o 
 
 8.417919 
 
 8.418722 
 
 8.419524 
 
 8.420325 
 
 8.421123 
 
 8.421921 
 
 29 
 
 80.0 
 
 3i 
 
 422717 
 
 4235ii 
 
 4243o4 
 
 425096 
 
 425886 
 
 426676 
 
 28 
 
 79.1 
 
 32 
 
 427462 
 
 428248 
 
 429032 
 
 429815 
 
 430697 
 
 43i377 
 
 27 
 
 78.2 
 
 33 
 
 432156 
 
 432934 
 
 433710 
 
 434484 
 
 435267 
 
 436029 
 
 26 
 
 77-4 
 
 34 
 
 436800 
 
 437569 
 
 438337 
 
 439103 
 
 439868 
 
 44o632 
 
 25 
 
 76.6 
 
 35 
 
 441394 
 
 442i56 
 
 442915 
 
 443674 
 
 444431 
 
 445i86 
 
 24 
 
 76.8 
 
 36 
 
 445941 
 
 446694 
 
 447446 
 
 448196 
 
 448946 
 
 449694 
 
 23 
 
 76.0 
 
 37 
 
 45o44o 
 
 45ii86 
 
 451930 
 
 452673 
 
 4534x4 
 
 464i54 
 
 22 
 
 74.2 
 
 38 
 
 454893 
 
 455631 
 
 456368 
 
 457103 
 
 457837 
 
 458670 
 
 21 
 
 73.5 
 
 39 
 
 459301 
 
 46oo32 
 
 460761 
 
 461489 
 
 462216 
 
 462941 
 
 20 
 
 72.7 
 
 4o 
 
 8.463665 
 
 8.464388 
 
 8.465IIO 
 
 8.465830 
 
 8.466560 
 
 8.467268 
 
 19 
 
 72.0 
 
 4i 
 
 467985 
 
 468701 
 
 469416 
 
 470129 
 
 470841 
 
 471663 
 
 18 
 
 71.3 
 
 43 
 
 472263 
 
 472971 
 
 473679 
 
 474386 
 
 476091 
 
 476796 
 
 17 
 
 70.6 
 
 43 
 
 476498 
 
 477200 
 
 477901 
 
 478601 
 
 479299 
 
 479997 
 
 i6 
 
 69.9 
 
 44 
 
 480693 
 
 48i388 
 
 482083 
 
 482776 
 
 483467 
 
 484i68 
 
 16 
 
 69.2 
 
 45 
 
 484848 
 
 485536 
 
 486224 
 
 486910 
 
 487696 
 
 488280 
 
 i4 
 
 68.6 
 
 46 
 
 488963 
 
 489645 
 
 490326 
 
 491006 
 
 491686 
 
 492363 
 
 i3 
 
 67.9 
 
 47 
 
 493040 
 
 493715 
 
 494390 
 
 495064 
 
 496736 
 
 496408 
 
 12 
 
 67.3 
 
 48 
 
 497078 
 
 497748 
 
 498416 
 
 499084 
 
 499760 
 
 5oo4i6 
 
 11 
 
 66.7 
 
 49 
 
 5oio8o 
 
 501743 
 
 5o24o5 
 
 5o3o67 
 
 603727 
 
 5o4386 
 
 10 
 
 66.1 
 
 5o 
 
 8.5o5o45 
 
 8.5o5702 
 
 8.5o6358 
 
 8.507014 
 
 8.607668 
 
 8.5o832i 
 
 9 
 
 65.5 
 
 5i 
 
 508974 
 
 509625 
 
 510275 
 
 510925 
 
 611673 
 
 612221 
 
 8 
 
 64.9 
 
 52 
 
 512867 
 
 5i35i3 
 
 5i4i57 
 
 5i48oi 
 
 5 16444 
 
 5i6o86 
 
 7 
 
 64.3 
 
 53 
 
 516726 
 
 517366 
 
 5i8oo5 
 
 5i8643 
 
 619280 
 
 619916 
 
 6 
 
 63.7 
 
 54 
 
 52o55i 
 
 521186 
 
 521819 
 
 52245i 
 
 623o83 
 
 623713 
 
 5 
 
 63.2 
 
 55 
 
 524343 
 
 524972 
 
 525599 
 
 526226 
 
 626862 
 
 627477 
 
 4 
 
 62.6 
 
 56 
 
 528102 
 
 528725 
 
 529347 
 
 629969 
 
 530690 
 
 531209 
 
 3 
 
 62. 1 
 
 57 
 
 531828 
 
 532446 
 
 533o63 
 
 533679 
 
 534296 
 
 534909 
 
 2 
 
 61.6 
 
 58 
 
 535523 
 
 536i36 
 
 536747 
 
 537358 
 
 537969 
 
 538678 
 
 I 
 
 61 . 1 
 
 59 
 
 539186 
 
 539794 
 
 54o4oi 
 
 541007 
 
 541612 
 
 542216 
 
 
 
 60.5 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 Min. 
 
 
 
 
 c 
 
 o-sine of 
 
 88 Degree 
 
 !S. 
 
 

 
 Logarithmic Tangents 
 
 • 
 
 
 25 
 
 Min. 
 
 
 Tangent 0] 
 
 1 Degre 
 
 e. 
 
 
 
 p. Part 
 
 to 1". 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 o 
 
 8.241921 
 
 8.243126 
 
 8.244328 
 
 8.245526 
 
 8.246721 
 
 8.247913 
 
 59 
 
 1x9.7 
 
 I 
 
 249102 
 
 250287 
 
 25x469 
 
 252648 
 
 253823 
 
 254996 
 
 58 
 
 117. 7 
 
 2 
 
 256i65 
 
 257331 
 
 258494 
 
 259654 
 
 26081 X 
 
 26x965 
 
 57 
 
 1x5.8 
 
 3 
 
 263ii5 
 
 264263 
 
 265408 
 
 266549 
 
 267688 
 
 268824 
 
 56 
 
 1x4. 
 
 4 
 
 269956 
 
 271086 
 
 2722x3 
 
 273337 
 
 274458 
 
 275576 
 
 55 
 
 1x2.2 
 
 5 
 
 276691 
 
 277804 
 
 278913 
 
 280020 
 
 281 124 
 
 282225 
 
 54 
 
 no. 5 
 
 6 
 
 283323 
 
 284419 
 
 285512 
 
 286602 
 
 287689 
 
 288774 
 
 53 
 
 108.9 
 
 7 
 
 289856 
 
 290935 
 
 292012 
 
 293086 
 
 294157 
 
 295226 
 
 52 
 
 107.2 
 
 8 
 
 296292 
 
 297355 
 
 298416 
 
 299474 
 
 3oo53o 
 
 3oi583 
 
 5i 
 
 105.7 
 
 9 
 
 302634 
 
 3o3682 
 
 304727 
 
 305770 
 
 3o68ii 
 
 307849 
 
 5o 
 
 X04.2 
 
 lO 
 
 8.3o8884 
 
 8.309917 
 
 8.310948 
 
 8.31x976 
 
 8.3i3oo2 
 
 8.3i4o25 
 
 49 
 
 X02.7 
 
 II 
 
 3i5o46 
 
 3x6o65 
 
 317081 
 
 318095 
 
 3x9x06 
 
 320X x5 
 
 48 
 
 X0I.3 
 
 12 
 
 32II22 
 
 322127 
 
 323x29 
 
 324129 
 
 325x26 
 
 32612X 
 
 47 
 
 99.8 
 
 i3 
 
 3271 i4 
 
 328io5 
 
 329093 
 
 33oo8o 
 
 33io64 
 
 332045 
 
 46 
 
 98.5 
 
 i4 
 
 333025 
 
 334002 
 
 334977 
 
 335950 
 
 33692X 
 
 337890 
 
 45 
 
 97.2 
 
 i5 
 
 338856 
 
 339821 
 
 340783 
 
 34x743 
 
 34270X 
 
 343657 
 
 44 
 
 95.9 
 
 i6 
 
 344610 
 
 345562 
 
 3465x2 
 
 347459 
 
 3484o5 
 
 349348 
 
 43 
 
 94.6 
 
 17 
 
 350289 
 
 351229 
 
 352166 
 
 353x01 
 
 354o35 
 
 354966 
 
 42 
 
 93.4 
 
 i8 
 
 355895 
 
 356823 
 
 357748 
 
 35867X 
 
 359593 
 
 36o5i2 
 
 4i 
 
 92.2 
 
 '9 
 
 36i43o 
 
 362345 
 
 363259 
 
 364171 
 
 365o8i 
 
 365988 
 
 4o 
 
 9X.1 
 
 20 
 
 8.366895 
 
 8.367799 
 
 8.368701 
 
 8.369601 
 
 8. 870500 
 
 8.371397 
 
 39. 
 
 89.9 
 
 21 
 
 372292 
 
 373x85 
 
 374076 
 
 374965 
 
 375853 
 
 376738 
 
 38 
 
 88.8 
 
 22 
 
 377622 
 
 378504 
 
 379385 
 
 38o263 
 
 38ix4o 
 
 382oi5 
 
 37 
 
 87.8 
 
 23 
 
 382889 
 
 383760 
 
 384630 
 
 385498 
 
 386364 
 
 387229 
 
 36 
 
 86.7 
 
 24 
 
 388092 
 
 388953 
 
 389813 
 
 390670 
 
 391526 
 
 392881 
 
 85 
 
 85.7 
 
 25 
 
 393234 
 
 394085 
 
 394934 
 
 395782 
 
 396628 
 
 397472 
 
 34 
 
 84.7 
 
 26 
 
 3983x5 
 
 399x56 
 
 399996 
 
 4oo834 
 
 40x670 
 
 4o25o5 
 
 88 
 
 88.7 
 
 27 
 
 4o3338 
 
 404170 
 
 4o5ooo 
 
 4o5828 
 
 4o6655 
 
 407480 
 
 82 
 
 82.8 
 
 28 
 
 4o83o4 
 
 409126 
 
 409946 
 
 410765 
 
 4ii583 
 
 412899 
 
 3x 
 
 81.8 
 
 29 
 
 4i32i3 
 
 414026 
 
 4x4837 
 
 4x5647 
 
 4x6456 
 
 417268 
 
 80 
 
 80.9 
 
 3o 
 
 8.418068 
 
 8.418872 
 
 8.419674 
 
 8.420475 
 
 8.42x274 
 
 8.422072 
 
 29 
 
 80.0 
 
 3i 
 
 422869 
 
 423664 
 
 424458 
 
 42525o 
 
 426041 
 
 426880 
 
 28 
 
 79.x 
 
 32 
 
 427618 
 
 428404 
 
 429189 
 
 429973 
 
 430755 
 
 43i536 
 
 27 
 
 78.8 
 
 33 
 
 4323x5 
 
 433093 
 
 433870 
 
 434645 
 
 435419 
 
 436x91 
 
 26 
 
 77.5 
 
 34 
 
 436962 
 
 437732 
 
 438500 
 
 439267 
 
 44oo33 
 
 440797 
 
 25 
 
 76.6 
 
 35 
 
 44i56o 
 
 442322 
 
 443082 
 
 443841 
 
 444599 
 
 445355 
 
 24 
 
 75.8 
 
 36 
 
 446 X 10 
 
 446864 
 
 447616 
 
 448368 
 
 449117 
 
 449866 
 
 23 
 
 75.0 
 
 37 
 
 45o6i3 
 
 45i359 
 
 452x04 
 
 452847 
 
 453589 
 
 454330 
 
 22 
 
 74.3 
 
 38 
 
 455070 
 
 455808 
 
 456545 
 
 457281 
 
 458ox6 
 
 458749 
 
 2X 
 
 73.5 
 
 39 
 
 459481 
 
 460212 
 
 460942 
 
 461670 
 
 462398 
 
 468124 
 
 20 
 
 72.8 
 
 4o 
 
 8.463849 
 
 8.464572 
 
 8.465295 
 
 8.466016 
 
 8.466736 
 
 8.467455 
 
 19 
 
 72.1 
 
 4i 
 
 468172 
 
 468889 
 
 469604 
 
 47o3i8 
 
 47io3i 
 
 471743 
 
 18 
 
 7X.8 
 
 42 
 
 472454 
 
 473163 
 
 473872 
 
 474579 
 
 475285 
 
 475990 
 
 17 
 
 70.7 
 
 43 
 
 476693 
 
 477396 
 
 478097 
 
 478798 
 
 479497 
 
 480195 
 
 16 
 
 70.0 
 
 44 
 
 480892 
 
 48i588 
 
 482283 
 
 482976 
 
 483669 
 
 48436o 
 
 x5 
 
 69.8 
 
 45 
 
 485o5o 
 
 485740 
 
 486428 
 
 487x15 
 
 48780X 
 
 488486 
 
 i4 
 
 68.6 
 
 46 
 
 489170 
 
 489852 
 
 490534 
 
 49 1 2 1 5 
 
 491894 
 
 492573 
 
 18 
 
 68.0 
 
 47 
 
 493250 
 
 493927 
 
 494602 
 
 495276 
 
 495949 
 
 496622 
 
 12 
 
 67.4 
 
 48 
 
 497293 
 
 497963 
 
 498632 
 
 499300 
 
 499967 
 
 5oo633 
 
 IX 
 
 66.8 
 
 49 
 
 501298 
 
 501962 
 
 502625 
 
 503287 
 
 5o3948 
 
 5o46o8 
 
 xo 
 
 66.1 
 
 5o 
 
 8.505267 
 
 8.5o5925 
 
 8.5o6582 
 
 8.5o7238 
 
 8.507893 
 
 8.5o8547 
 
 9 
 
 65.5 
 
 5i 
 
 509200 
 
 509852 
 
 5xo5o3 
 
 5ix x53 
 
 5ii8o2 
 
 5x245i 
 
 8 
 
 65. 
 
 52 
 
 513098 
 
 5 1 3744 
 
 514389 
 
 5i5o34 
 
 5i5677 
 
 516820 
 
 7 
 
 64.4 
 
 53 
 
 5 1 696 1 
 
 517602 
 
 5i824x 
 
 5x888o 
 
 519518 
 
 52oi54 
 
 6 
 
 63.8 
 
 54 
 
 520790 
 
 521425 
 
 522059 
 
 522692 
 
 523324 
 
 523956 
 
 5 
 
 68.3 
 
 55 
 
 524586 
 
 5252x5 
 
 525844 
 
 526472 
 
 527098 
 
 527724 
 
 4 
 
 62.7 
 
 56 
 
 528349 
 
 528973 
 
 529596 
 
 53o2i8 
 
 53o84o 
 
 53i46o 
 
 3 
 
 62.2 
 
 57 
 
 532080 
 
 532698 
 
 5333x6 
 
 533933 
 
 534549 
 
 535i64 
 
 2 
 
 61.6 
 
 58 
 
 535779 
 
 536392 
 
 537005 
 
 537617 
 
 538227 
 
 538837 
 
 X 
 
 61. 1 
 
 59 
 
 539447 
 
 54oo55 
 
 540662 
 
 541269 
 
 54x875 
 
 542480 
 
 
 
 60.6 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 Min. 
 
 
 
 Co- 
 
 tangent 0: 
 
 -■ 88 Degr 
 
 ees. 
 
 
26 
 
 
 
 
 I 
 
 OGAEITHMIC 
 
 Sines 
 
 I. 
 
 
 
 
 
 
 
 Sine of 2 Dejjrees. 
 
 
 
 Sine of 3 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 10" 
 
 20" 
 
 30" 
 
 40" 50" 
 
 
 
 8.542819 
 
 3422 
 
 4o2 3 
 
 4624 
 
 5224 
 
 5823 
 
 59 
 
 
 
 8.718800 
 
 9202 
 
 9603 
 
 ...4 
 
 .404 
 
 .804 
 
 59 
 
 I 
 
 6422 
 
 7019 
 
 7616 
 
 8212 
 
 8807 
 
 9401 
 
 58 
 
 I 
 
 8.721204 
 
 i6o3 
 
 2002 
 
 2401 
 
 2799 
 
 3197 
 
 58 
 
 2 
 
 9995 
 
 .587 
 
 II79 
 
 1770 
 
 236i 
 
 2950 
 
 57 
 
 2 
 
 3595 
 
 3992 
 
 43894785 
 
 5i8i 
 
 5577 
 
 57 
 
 3 
 
 8.553539 
 
 4126 
 
 4713 
 
 53oo 
 
 5885 
 
 6470 
 
 56 
 
 3 
 
 5972 
 
 6367 
 
 6762 7i56 
 
 7550 
 
 7943 
 
 56 
 
 4 
 
 7054 
 
 7637 
 
 8219 
 
 8801 
 
 9381 
 
 9961 
 
 55 
 
 4 
 
 8337 
 
 8729 
 
 9122 
 
 95i4 
 
 9906 
 
 .297 
 
 55 
 
 5 
 
 8.56o54o 
 
 II 19 
 
 1696 
 
 2273 
 
 2849 
 
 3425 
 
 54 
 
 5 
 
 8.730688 
 
 1079 
 
 1469 
 
 1859 
 
 2249 
 
 2638 
 
 54 
 
 6 
 
 3999 
 
 4573 
 
 5i46 
 
 5719 
 
 6290 
 
 6861 
 
 53 
 
 6 
 
 3027 
 
 3416 
 
 38o4 
 
 4192 4579 
 
 4967 
 
 53 
 
 7 
 
 743i 
 
 8000 
 
 8569 
 
 9137 
 
 9704 
 
 .270 
 
 52 
 
 7 
 
 5354 
 
 5740 
 
 6126 
 
 65126898 
 
 7283 
 
 52 
 
 8 
 
 8.570836 
 
 i4oi 
 
 1965 
 
 2528 
 
 3091 
 
 3653 
 
 5i 
 
 8 
 
 7667 
 
 8o52 
 
 8436 
 
 8820 9203 
 
 9586 
 
 5i 
 
 9 
 
 4214 
 
 4774 
 
 5334 
 
 5893 
 
 645 1 
 
 7009 
 
 5o 
 
 9 
 
 9969 
 
 .352 
 
 .734 
 
 iii5 
 
 1497 
 
 1878 
 
 5o 
 
 10 
 
 7566 
 
 8122 
 
 8678 
 
 9232 
 
 9786 
 
 .340 
 
 49 
 
 10 
 
 8.742259 
 
 2639 
 
 3019 
 
 3399 
 
 3778 
 
 4i57 
 
 49 
 
 II 
 
 8.580892 
 
 1444 
 
 1995 
 
 2546 
 
 3096 
 
 3645 
 
 48 
 
 1 1 
 
 4536 
 
 4914 
 
 5293 
 
 5670 
 
 6o48 
 
 6425 
 
 48 
 
 12 
 
 4193 
 
 4741 
 
 5288 
 
 5834 
 
 638o 
 
 6925 
 
 47 
 
 12 
 
 6802 
 
 7178 
 
 7554 
 
 7930 
 
 83o5 
 
 8680 
 
 47 
 
 i3 
 
 7469 
 
 8oi3 
 
 8556 
 
 9098 
 
 9640 
 
 .181 
 
 46 
 
 i3 
 
 9055 
 
 9400 
 
 9804 
 
 . 178 
 
 .55i 
 
 • 924 
 
 46 
 
 i4 
 
 8.590721 
 
 1260 
 
 1799 
 
 2338 
 
 2875 
 
 34l2 
 
 45 
 
 i4 
 
 8.751297 
 
 1670 
 
 2042 
 
 24i4 
 
 2786 
 
 3x57 
 
 45 
 
 i5 
 
 3948 
 
 4484 
 
 5oi9 
 
 5553 
 
 6087 
 
 6619 
 
 44 
 
 i5 
 
 3528 
 
 3898 
 
 4269 
 
 4639 
 
 5oo8 
 
 5378 
 
 44 
 
 i6 
 
 7i52 
 
 7683 
 
 8214 
 
 8745 
 
 9274 
 
 9803 
 
 43 
 
 16 
 
 5747 
 
 6116 
 
 6484 
 
 6852 
 
 7220 
 
 7587 
 
 43 
 
 17 
 
 8.6oo332 
 
 0859 
 
 1387 
 
 1913 
 
 2439 
 
 2964 
 
 42 
 
 17 
 
 7955 
 
 8321 
 
 8688 
 
 9054 
 
 9420 
 
 9786 
 
 42 
 
 18 
 
 3489 
 
 40I2 
 
 4536 
 
 5o58 
 
 558o 
 
 6102 
 
 4i 
 
 18 
 
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 .692 
 
 2 
 
 58 
 
 4534 
 
 4942 
 
 5348 
 
 5755 
 
 6161 
 
 6567 
 
 I 
 
 58 
 
 8.840998 
 
 i3o3 
 
 1607 
 
 1912 
 
 2216 
 
 2521 
 
 I 
 
 59 
 
 6972 
 
 7377 
 
 7781 
 
 8186 
 
 8589 
 
 8993 
 
 
 
 59 
 
 2825 
 
 3128 
 
 3432 
 
 3735^038 
 
 4341 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 .30" 
 
 20" 
 
 10" 
 
 d 
 
 i 
 
 
 60" 
 
 50" 1 40" 
 
 30" 20" 
 
 10" 
 
 
 Co-tangent of 87 Degrees. 
 
 Co-tangent of 86 Degrees. 
 
 P Po,f i 1" 2" 3" 4" 5" 6" 7" 8" 
 ^- *^^" ] 48 97 145 193 242 290 338 387 4 
 
 9" 
 35 
 
 „ „ J 1" 2" 3" 4" 5" 6" 7" 8" 
 ^- ^^^'^ ] 35 69 104 138 173 207 242 276 ! 
 
 9" 
 
 m 
 
28 
 
 
 
 
 Logarithmic Sines. 
 
 
 
 
 
 
 a 
 
 Sine of 4 Degrees. 
 
 
 .5 
 
 Sine of 5 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 o 
 
 8.843585 
 
 3886 
 
 4i86 
 
 4487 
 
 4787 
 
 5087 
 
 59 
 
 
 
 8.940296 
 
 0537 
 
 0777 
 
 1017 
 
 1258 
 
 1498 
 
 59 
 
 I 
 
 5387 
 
 5687 
 
 5987 
 
 6286 
 
 6585 
 
 6884 
 
 58 
 
 I 
 
 1738 
 
 1977 
 
 2217 
 
 2457 
 
 2696 
 
 2935 
 
 58 
 
 2 
 
 7183 
 
 7481 
 
 7780 
 
 8078 
 
 8376 
 
 8673 
 
 57 
 
 2 
 
 3174 
 
 34i3 
 
 3652 
 
 3891 
 
 4129 
 
 4368 
 
 57 
 
 3 
 
 897. 
 8.85o75i 
 
 9268 
 
 9565 
 
 9862 
 
 . i59 
 
 .455 
 
 56 
 
 3 
 
 4606 
 
 4844 
 
 5o83 
 
 5321 
 
 5558 
 
 5796 
 
 56 
 
 4 
 
 io47 
 
 i343 
 
 1639 
 
 1934 
 
 2229 
 
 55 
 
 4 
 
 6o34 
 
 6271 
 
 65o8 
 
 6745 
 
 6982 
 
 7219 
 
 55 
 
 5 
 
 2525 
 
 2819 
 
 3ii4 
 
 3408 
 
 3703 
 
 3997 
 
 54 
 
 5 
 
 7456 
 
 7693 
 
 7929 
 
 8166 
 
 84o2 
 
 8638 
 
 54 
 
 6 
 
 4291 
 
 4584 
 
 4878 
 
 5171 
 
 5464 
 
 5757 
 
 53 
 
 6 
 
 8874 
 
 9110 
 
 9345 
 
 9581 
 
 9817 
 
 ..52 
 
 53 
 
 7 
 
 7 
 
 6049 
 
 6342 
 
 6634 
 
 6926 
 
 7218 
 
 75io 
 
 52 
 
 7 
 
 8.950287 
 
 o522 
 
 0757 
 
 0992 
 
 1227 
 
 i46i 
 
 52 
 
 8 
 
 7801 
 
 8092 
 
 8383 
 
 8674 
 
 8965 
 
 9255 
 
 5i 
 
 8 
 
 1696 
 
 1930 
 
 2164 
 
 2398 
 
 2632 
 
 2866 
 
 5i 
 
 9 
 
 9546 
 
 9836 
 
 .126 
 
 .4i5 
 
 .705 
 
 .^94 
 
 5o 
 
 9 
 
 3ioo 
 
 3333 
 
 3567 
 
 38oo 
 
 4o33 
 
 4266 
 
 5o 
 
 10 
 
 8.861283 
 
 1572 
 
 1861 
 
 2149 
 
 2438 
 
 2726 
 
 49 
 
 10 
 
 4499 
 
 4732 
 
 4965 
 
 5197 
 
 5429 
 
 5662 
 
 49 
 
 1 1 
 
 3or4 
 
 33o2 
 
 3589 
 
 3877 
 
 4i64 
 
 445i 
 
 48 
 
 II 
 
 5894 
 
 6126 6358 
 
 6590 
 
 6821 
 
 7053 
 
 48 
 
 12 
 
 4738 
 
 5o24 
 
 53ii 
 
 5597 
 
 5883 
 
 6169 
 
 47 
 
 12 
 
 7284 
 
 75i6 7747 
 
 7978 
 
 8209 
 
 844o 
 
 47 
 
 i3 
 
 6455 
 
 6740 
 
 7025 
 
 7310 
 
 7595 
 
 7880 
 
 46 
 
 i3 
 
 8670 
 
 8901 
 
 9i3i 
 
 9362 
 
 9592 
 
 9822 
 
 46 
 
 i4 
 
 8i65 
 
 8449 
 
 8733 
 
 9017 
 
 9301 
 
 9585 
 
 45 
 
 i4 
 
 8.960052 
 
 0282 
 
 o5i I 
 
 0741 
 
 0970 
 
 1200 
 
 45 
 
 i5 
 
 9868 
 
 .i5i 
 
 .434 
 
 .717 
 
 1000 
 
 1282 
 
 44 
 
 i5 
 
 1429 
 
 i658 
 
 1887 
 
 21 16 
 
 2344 
 
 2573 
 
 44 
 
 i6 
 
 8.871565 
 
 i847 
 
 2129 
 
 2410 
 
 2692 
 
 2973 
 
 43 
 
 16 
 
 2801 
 
 3o3o 
 
 3258 
 
 3486 
 
 3714 
 
 3942 
 
 43 
 
 I? 
 
 3255 
 
 3536 
 
 3817 
 
 4097 
 
 4378 
 
 4658 
 
 42 
 
 17 
 
 4170 
 
 4397 
 
 4625 
 
 4852 
 
 5o8o 
 
 5307 
 
 42 
 
 i8 
 
 4938 
 
 5218 
 
 5498 
 
 5777 
 
 6o57 
 
 6336 
 
 4i 
 
 18 
 
 5534 
 
 5761 
 
 5987 
 
 6214 
 
 644 1 
 
 6667 
 
 4i 
 
 '9 
 
 66i5 
 
 6894 
 
 7172 
 
 745i 
 
 7729 
 
 8007 
 
 4o 
 
 19 
 
 6893 
 
 7120 
 
 7346 
 
 7572 
 
 7797 
 
 8023 
 
 4o 
 
 20 
 
 8285 
 
 8563 
 
 884i 
 
 9118 
 
 9395 
 
 9672 
 
 39 
 
 20 
 
 8249 
 
 8474 
 
 8700 
 
 8925 
 
 9i5o 
 
 9375 
 
 39 
 
 21 
 
 9949 
 
 .226 
 
 .5o3 
 
 •779 
 
 io55 
 
 i33i 
 
 38 
 
 21 
 
 9600 
 
 9825 
 
 ..49 
 
 .274 
 
 .498 
 
 .723 
 
 38 
 
 22 
 
 8.881607 
 
 i883 
 
 2i58 
 
 2433 
 
 2708 
 
 2983 
 
 37 
 
 22 
 
 8.970947 
 
 1 171 
 
 1395 
 
 1619 
 
 1842 
 
 2066 
 
 37 
 
 23 
 
 3258 
 
 3533 
 
 3807 
 
 4o8i 
 
 4355 
 
 4629 
 
 36 
 
 23 
 
 2289 
 
 25i3 
 
 2736 
 
 2959 
 
 3182 
 
 34o5 
 
 36 
 
 24 
 
 4903 
 
 5i77 
 
 545o 
 
 5723 
 
 5996 
 
 6269 
 
 35 
 
 24 
 
 3628 
 
 385i 
 
 4073 
 
 4296 
 
 45x8 
 
 4740 
 
 35 
 
 25 
 
 6542 
 
 68i4 
 
 7087 
 
 7359 
 
 7631 
 
 7903 
 
 34 
 
 25 
 
 4962 
 
 5i84 
 
 5406 
 
 5628 
 
 585o 
 
 6071 
 
 34 
 
 26 
 
 8174 
 
 8446 
 
 8717 
 
 8988 
 
 9259 
 
 9530 
 
 33 
 
 26 
 
 6293 
 
 65i4 
 
 6735 
 
 6956 
 
 7177 
 
 7398 
 
 33 
 
 27 
 
 9801 
 
 • -71 
 
 .341 
 
 .612 
 
 .882 
 
 I i5i 
 
 32 
 
 27 
 
 7619 
 
 7839 
 
 8060 
 
 8280 
 
 85oi 
 
 8721 
 
 32 
 
 28 
 
 8.891421 
 
 1690 
 
 i960 
 
 2229 
 
 2498 
 
 2767 
 
 3i 
 
 28 
 
 8941 
 
 9161 
 
 9381 
 
 9600 
 
 9820 
 
 . .39 
 
 3i 
 
 29 
 
 3o35 
 
 33o4 
 
 3572 
 
 384o 
 
 4io8 
 
 4376 
 
 3o 
 
 29 
 
 8.980259 
 
 0478 
 
 0697 
 
 0916 
 
 ii35 
 
 i354 
 
 3o 
 
 3o 
 
 4643 
 
 4911 
 
 5178 
 
 5445 
 
 5712 
 
 5979 
 
 29 
 
 3o 
 
 1573 
 
 1791 
 
 2010 
 
 2228 
 
 2447 
 
 2665 
 
 29 
 
 3i 
 
 6246 
 
 65i2 
 
 6778 
 
 7044 
 
 7310 
 
 7576 
 
 28 
 
 3i 
 
 2883 
 
 3ioi 
 
 3319 
 
 3536 
 
 3754 
 
 3972 
 
 28 
 
 32 
 
 7842 
 
 8107 
 
 8373 
 
 8638 
 
 8903 
 
 9168 
 
 27 
 
 32 
 
 4189 
 
 4406 
 
 4623 
 
 484o 
 
 5o57 
 
 5274 
 
 27 
 
 33 
 
 9432 
 
 9697 
 
 9961 
 
 .225 
 
 .489 
 
 .753 
 
 26 
 
 33 
 
 5491 
 
 5708 
 
 5924 
 
 6i4i 
 
 6357 
 
 6573 
 
 26 
 
 34 
 
 8.901017 
 
 1280 
 
 1 544 
 
 1807 
 
 2070 
 
 2333 
 
 25 
 
 34 
 
 6789 
 
 7005 
 
 7221 
 
 7437 
 
 7652 
 
 7868 
 
 25 
 
 35 
 
 2596 
 
 2858 
 
 3l2I 
 
 3383 
 
 3645 
 
 3907 
 
 24 
 
 35 
 
 8o83 
 
 8299 
 
 85i4 
 
 8729 
 
 8944 
 
 9159 
 
 24 
 
 36 
 
 4169 
 
 443o 
 
 4692 
 
 4953 
 
 52i4 
 
 5475 
 
 23 
 
 36 
 
 9374 
 
 9588 
 
 9803 
 
 ..17 
 
 .232 
 
 .446 
 
 23 
 
 37 
 
 5736 
 
 5997 
 
 6257 
 
 65i7 
 
 6778 
 
 7o38 
 
 22 
 
 37 
 
 8.990660 
 
 0874 
 
 1088 
 
 l302 
 
 i5i6 
 
 1729 
 
 22 
 
 38 
 
 7297 
 
 7557 
 
 7817 
 
 8076 
 
 8335 
 
 8595 
 
 21 
 
 38 
 
 1943 
 
 2i56 
 
 2370 
 
 2583 
 
 2796 
 
 3009 
 
 21 
 
 39 
 
 8853 
 
 9112 
 
 9371 
 
 9629 
 
 9888 
 
 .i46 
 
 20 
 
 39 
 
 3222 
 
 3435 
 
 3647 
 
 386o 
 
 4072 
 
 4285 
 
 20 
 
 4o 
 
 8.910404 
 
 0662 
 
 0919 
 
 1177 
 
 1434 
 
 1692 
 
 19 
 
 4o 
 
 4497 
 
 4709 
 
 4921 
 
 5x33 
 
 5345 
 
 5556 
 
 19 
 
 4i 
 
 1949 
 
 2206 
 
 2462 
 
 2719 
 
 2976 
 
 3232 
 
 18 
 
 4i 
 
 5768 
 
 5980 
 
 6191 
 
 6402 
 
 66i4 
 
 6825 
 
 18 
 
 42 
 
 3488 
 
 3744 
 
 4ooo 
 
 4256 
 
 45ii 
 
 4767 
 
 17 
 
 42 
 
 7o36 
 
 7247 
 
 7457 
 
 7668 
 
 7879 
 
 8089 
 
 17 
 
 43 
 
 5o22 
 
 5277 
 
 5532 
 
 5787 
 
 6o4i 
 
 6296 
 
 16 
 
 43 
 
 8299 
 
 85io 
 
 8720 
 
 8930 
 
 9140 
 
 9350 
 
 16 
 
 44 
 
 655o 
 
 68o5 
 
 7059 
 
 73i3 
 
 7566 
 
 7820 
 
 i5 
 
 44 
 
 9560 
 
 9769 
 
 9979 
 
 .188 
 
 .398 
 
 .607 
 
 i5 
 
 45 
 
 8073 
 
 8327 
 
 858o 
 
 8833 
 
 9086 
 
 9338 
 
 i4 
 
 45 
 
 9.000816 
 
 I025|1234 
 
 i443 
 
 i652 
 
 i860 
 
 i4 
 
 46 
 
 9591 
 
 9843 
 
 ..96 
 
 .348 
 
 .600 
 
 .852 
 
 i3 
 
 46 
 
 2069 
 
 2277 
 
 2486 
 
 2694 
 
 2902 
 
 3iio 
 
 i3 
 
 47 
 
 8.921103 
 
 i355 
 
 1606 
 
 i858 
 
 2109 
 
 236o 
 
 12 
 
 47 
 
 33i8 
 
 3526 
 
 3733 
 
 3941 
 
 4i49 
 
 4356 
 
 12 
 
 48 
 
 2610 
 
 2861 
 
 3lI2 
 
 3362 
 
 36i2 
 
 3862 
 
 II 
 
 48 
 
 4563 
 
 4771 
 
 4978 
 
 5i85 
 
 5392 
 
 5599 
 
 II 
 
 49 
 
 4i 12 
 
 4362 
 
 46i2 
 
 4861 
 
 5iii 
 
 536o 
 
 10 
 
 49 
 
 58o5 
 
 6012 
 
 6218 
 
 6425 
 
 663i 
 
 6837 
 
 xo 
 
 5o 
 
 5609 
 
 5858 
 
 6107 
 
 6355 
 
 6604 
 
 6852 
 
 9 
 
 5o 
 
 7044 
 
 725o 
 
 7456 
 
 7661 
 
 7867 
 
 8073 
 
 9 
 
 5i 
 
 7100 
 
 7348 
 
 7596 
 
 7844 
 
 8092 
 
 8339 
 
 8 
 
 5i 
 
 8278 
 
 8484 
 
 8689 
 
 8894 
 
 9100 
 
 93o5 
 
 8 
 
 52 
 
 8587 
 
 8834 
 
 9081 
 
 9328 
 
 9575 
 
 9821 
 
 7 
 
 52 
 
 9510 
 
 97i5 
 
 9919 
 
 . 124 
 
 .329 
 
 .533 
 
 7 
 
 53 
 
 8.930068 
 
 o3i4 
 
 o56o 
 
 0806 
 
 io52 
 
 1298 
 
 6 
 
 53 
 
 9.010737 
 
 0942 
 
 ii46 
 
 i35o 
 
 i554 
 
 1758 
 
 6 
 
 54 
 
 1 544 
 
 1789 
 
 2o35 
 
 2280 
 
 2525 
 
 2770 
 
 5 
 
 54 
 
 1962 
 
 2i65 2369 
 
 2572 
 
 2776 
 
 2979 
 
 5 
 
 55 
 
 3oi5 
 
 3260 
 
 35o4 
 
 3749 
 
 3993 
 
 4237 
 
 4 
 
 55 
 
 3182 
 
 3385 
 
 3588 
 
 3791 
 
 3994 
 
 4197 
 
 4 
 
 56 
 
 448i 
 
 4725 
 
 4969 
 
 5212 
 
 5456 
 
 5699 
 
 3 
 
 56 
 
 44oo 
 
 4602 
 
 48o5 
 
 5007 
 
 5209 
 
 5411 
 
 3 
 
 57 
 
 5942 
 
 6 1 85 
 
 6428 
 
 6671 
 
 6914 
 
 7i56 
 
 2 
 
 57 
 
 56i3 
 
 58i5 
 
 6017 
 
 6219 
 
 6421 
 
 6622 
 
 2 
 
 58 
 
 7398 
 
 7641 
 
 7883 
 
 8125 
 
 8366 
 
 8608 
 
 I 
 
 58 
 
 6824 
 
 7025 
 
 7227 
 
 7428 
 
 7629 
 
 783o 
 
 I 
 
 59 
 
 885c 
 
 9091 
 
 9332 
 
 9573 
 
 9814 
 
 ..55 
 
 
 
 59 
 
 8o3i 
 
 8232 
 
 8433 
 
 8633 
 
 8834 
 
 9034 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 i 
 
 
 60" 
 
 50" 1 40" 
 
 30" 
 
 20" 1 10" 
 
 
 Co-sine of 85 Degrees. 
 
 Co-sine of 84 Degrees. 
 
 P. 
 
 „ ( 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 ' ^'■'^ 1 37 53 80 107 134 160 187 214 241 
 
 U' 2" 3' 4" 5" 6" 7" 8' 9' 
 f.iart-^ 22 44 66 87 109 131 153 175 197 
 

 
 
 
 Logarithmic 
 
 Tangents. 
 
 
 
 
 
 29 
 
 
 Tangent of 4 Degrees. 
 
 
 
 Tangent of 5 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 1 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 1 50" 
 
 o 
 
 8.844644 
 
 4946 
 
 5248 
 
 555i 
 
 5852 
 
 6i54 
 
 59 
 
 
 
 8.941952 
 
 2194 
 
 2437 
 
 2679 
 
 2921 
 
 3i63 
 
 59 
 
 I 
 
 6455 
 
 6757 
 
 7o58 
 
 7358 
 
 7659 
 
 7959 
 
 58 
 
 I 
 
 34o4 
 
 3646 
 
 3888 
 
 4129 
 
 4370 
 
 46ii 
 
 58 
 
 2 
 
 8260 
 
 856o 
 
 8859 
 
 9159 
 
 9458 
 
 9758 
 
 57 
 
 2 
 
 4852 
 
 5093 
 
 5334 
 
 5574 
 
 58i5 
 
 6o55 
 
 57 
 
 3 
 
 8.85oo57 
 
 o355 
 
 o654 
 
 0952 
 
 I25o 
 
 1 548 
 
 56 
 
 3 
 
 6295 
 
 6535 
 
 6775 
 
 7015 
 
 7255 
 
 7494 
 
 56 
 
 4 
 
 i846 
 
 2i44 
 
 2441 
 
 2738 
 
 3o35 
 
 3332 
 
 55 
 
 4 
 
 7734 
 
 7973 
 
 8212 
 
 845i 
 
 8690 
 
 8929 
 
 55 
 
 5 
 
 3628 
 
 3925 
 
 4221 
 
 4517 
 
 48i3 
 
 5 1 08 
 
 54 
 
 5 
 
 9168 
 
 9406 
 
 9644 
 
 9883 
 
 . 121 
 
 .359 
 
 54 
 
 6 
 
 54o3 
 
 5699 
 
 5993 
 
 6288 
 
 6583 
 
 6877 
 
 53 
 
 6 
 
 8.950597 
 
 o834 
 
 1072 
 
 i3o9 
 
 1 547 
 
 1784 
 
 53 
 
 7 
 
 7171 
 
 7465 
 
 7759 
 
 8o53 
 
 8346 
 
 8639 
 
 52 
 
 7 
 
 2021 
 
 2258 
 
 2495 
 
 2732 
 
 2968 
 
 32o5 
 
 52 
 
 8 
 
 8932 
 
 9225 
 
 9517 
 
 9810 
 
 . 102 
 
 .394 
 
 5i 
 
 8 
 
 3441 
 
 3677 
 
 391 3 
 
 4i49 
 
 4385 
 
 4621 
 
 5i 
 
 9 
 
 8.860686 
 
 0977 
 
 1269 
 
 i56o 
 
 i85i 
 
 2142 
 
 5o 
 
 9 
 
 4856 
 
 5092 
 
 5327 
 
 5562 
 
 5797 
 
 6o32 
 
 5o 
 
 lO 
 
 2433 
 
 2723 
 
 3oi3 
 
 33o3 
 
 3593 
 
 3883 
 
 49 
 
 10 
 
 6267 
 
 65o2 
 
 6736 
 
 6971 
 
 7205 
 
 7439 
 
 49 
 
 1 1 
 
 4173 
 
 4462 
 
 475i 
 
 5o4o 
 
 5329 
 
 5617 
 
 48 
 
 II 
 
 7674 
 
 7908 
 
 8i4i 
 
 8375 
 
 8609 
 
 8842 
 
 48 
 
 12 
 
 5906 
 
 6194 
 
 6482 
 
 6769 
 
 7057 
 
 7344 
 
 47 
 
 12 
 
 9075 
 
 9309 
 
 9542 
 
 9775 
 
 ...8 
 
 .240 
 
 47 
 
 i3 
 
 7632 
 
 7919 
 
 8206 
 
 8492 
 
 8779 
 
 9065 
 
 46 
 
 i3 
 
 8.960473 
 
 0705 
 
 0938 
 
 1170 
 
 l402 
 
 i634 
 
 46 
 
 i4 
 
 9351 
 
 9637 
 
 9923 
 
 .208 
 
 .494 
 
 •779 
 
 45 
 
 i4 
 
 1866 
 
 2098 
 
 2329 
 
 256i 
 
 2792 
 
 3o23 
 
 45 
 
 i5 
 
 8.871064 
 
 1349 
 
 i633 
 
 1918 
 
 2202 
 
 2486 
 
 44 
 
 i5 
 
 3255 
 
 3486 
 
 3716 
 
 3947 
 
 4178 
 
 4408 
 
 44 
 
 i6 
 
 2770 
 
 3o54 
 
 3337 
 
 3620 
 
 3904 
 
 4187 
 
 43 
 
 (6 
 
 4539 
 
 4869 
 
 5099 
 
 5329 
 
 5559 
 
 5789 
 
 43 
 
 17 
 
 4469 
 
 4752 
 
 5o34 
 
 5317 
 
 5599 
 
 588i 
 
 42 
 
 17 
 
 6019 
 
 6248 
 
 6478 
 
 6707 
 
 6936 
 
 7165 
 
 42 
 
 i8 
 
 6162 
 
 6444 
 
 6725 
 
 7006 
 
 7287 
 
 7568 
 
 4i 
 
 18 
 
 7394 
 
 7623 
 
 7852 
 
 8081 
 
 83o9 
 
 8538 
 
 4i 
 
 19 
 
 7849 
 
 8129 
 
 8409 
 
 8689 
 
 8969 
 
 9249 
 
 4o 
 
 19 
 
 8766 
 
 8994 
 
 9222 
 
 945o 
 
 9678 
 
 9905 
 
 4o 
 
 20 
 
 9529 
 
 9808 
 
 ..87 
 
 .366 
 
 .645 
 
 .924 
 
 39 
 
 20 
 
 8.970133 
 
 o36o 
 
 o588 
 
 o8i5 
 
 1042 
 
 1269 
 
 39 
 
 21 
 
 8.881202 
 
 i48o 
 
 1759 
 
 2037 
 
 23i4 
 
 2592 
 
 38 
 
 21 
 
 1496 
 
 1723 
 
 1949 
 
 2176 
 
 2402 
 
 2628 
 
 38 
 
 22 
 
 2869 
 
 3i47 
 
 3424 
 
 3701 
 
 3977 
 
 4254 
 
 37 
 
 22 
 
 2855 
 
 3o8i 
 
 3307 
 
 3532 
 
 3758 
 
 3984 
 
 37 
 
 23 
 
 453o 
 
 4807 
 
 5o83 
 
 5358 
 
 5634 
 
 5910 
 
 36 
 
 23 
 
 4209 
 
 4435 
 
 466o 
 
 4885 
 
 5i 10 
 
 5335 
 
 36 
 
 24 
 
 6i85 
 
 646o 
 
 6735 
 
 7010 
 
 7285 
 
 7559 
 
 35 
 
 24 
 
 5 5 60 
 
 5784 
 
 6009 
 
 6233 
 
 6458 
 
 6682 
 
 35 
 
 25 
 
 7833 
 
 8108 
 
 8382 
 
 8655 
 
 8929 
 
 9202 
 
 34 
 
 25 
 
 6906 
 
 7i3o 
 
 7354 
 
 7578 
 
 7801 
 
 8025 
 
 34 
 
 26 
 
 9476 
 
 9749 
 
 . .22 
 
 .295 
 
 .567 
 
 .840 
 
 33 
 
 26 
 
 8?48 
 
 8472 
 
 8695 
 
 8918 
 
 9141 
 
 9364 
 
 33 
 
 27 
 
 8.891112 
 
 i384 
 
 i656 
 
 1928 
 
 2199 
 
 2471 
 
 32 
 
 27 
 
 9586 
 
 9809 
 
 ..32 
 
 .254 
 
 .476 
 
 .699 
 
 32 
 
 28 
 
 2742 
 
 3oi3 
 
 3284 
 
 3555 
 
 3825 
 
 4096 
 
 3i 
 
 28 
 
 8.980921 
 
 ii43 
 
 1 364 
 
 i586 
 
 1808 
 
 2029 
 
 3i 
 
 29 
 
 4366 
 
 4636 
 
 4906 
 
 5176 
 
 5445 
 
 5715 
 
 3o 
 
 29 
 
 225l 
 
 2472 
 
 2693 
 
 2914 
 
 3i35 
 
 3356 
 
 3o 
 
 3o 
 
 5984 
 
 6253 
 
 6522 
 
 6791 
 
 7060 
 
 7328 
 
 29 
 
 3o 
 
 3577 
 
 3798 
 
 4oi8 
 
 4238 
 
 4459 
 
 4679 
 
 29 
 
 3i 
 
 7596 
 
 7864 
 
 8i32 
 
 8400 
 
 8668 
 
 8935 
 
 28 
 
 3i 
 
 4899 
 
 5i 19 
 
 5339 
 
 5559 
 
 5778 
 
 5998 
 
 28 
 
 32 
 
 9203 
 
 9470 
 
 9737 
 
 ...4 
 
 .270 
 
 .537 
 
 27 
 
 32 
 
 6217 
 
 6437 
 
 6656 
 
 6875 
 
 7094 
 
 73i3 
 
 27 
 
 33 
 
 8.900803 
 
 1069 
 
 i335 
 
 i6oi 
 
 1867 
 
 2l32 
 
 26 
 
 33 
 
 7532 
 
 7750 
 
 7969 
 
 8187 
 
 84o6 
 
 8624 
 
 26 
 
 34 
 
 2398 
 
 2663 
 
 2928 
 
 3193 
 
 3458 
 
 3722 
 
 25 
 
 34 
 
 8842 
 
 9060 
 
 9278 
 
 9496 
 
 9714 
 
 9931 
 
 25 
 
 35 
 
 3987 
 
 425i 
 
 45i5 
 
 4779 
 
 5o43 
 
 53o6 
 
 24 
 
 35 
 
 8.990149 
 
 o366 
 
 o583 
 
 0801 
 
 1018 
 
 1235 
 
 24 
 
 36 
 
 5570 
 
 5833 
 
 6096 
 
 6359 
 
 6622 
 
 6885 
 
 23 
 
 36 
 
 i45i 
 
 1668 
 
 i885 
 
 2101 
 
 23i8 
 
 2534 
 
 23 
 
 37 
 
 7147 
 
 74io 
 
 7672 
 
 7934 
 
 8196 
 
 8457 
 
 22 
 
 37 
 
 2750 
 
 2966 
 
 3i82 
 
 3398 
 
 36i4 
 
 383o 
 
 22 
 
 38 
 
 8719 
 
 8980 
 
 9242 
 
 95o3 
 
 9764 
 
 ..25 
 
 21 
 
 38 
 
 4o45 
 
 4261 
 
 4476 
 
 4692 
 
 4907 
 
 5l22 
 
 21 
 
 39 
 
 8.910285 
 
 o546 
 
 0806 
 
 1066 
 
 i326 
 
 i586 
 
 20 
 
 39 
 
 5337 
 
 5552 
 
 5766 
 
 5981 
 
 6196 
 
 64io 
 
 20 
 
 4o 
 
 i846 
 
 2106 
 
 2365 
 
 2624 
 
 2883 
 
 3l42 
 
 19 
 
 40 
 
 6624 
 
 6839 
 
 7o53 
 
 7267 
 
 748i 
 
 7694 
 
 19 
 
 4i 
 
 3401 
 
 366o 
 
 3918 
 
 4i77 
 
 4435 
 
 4693 
 
 18 
 
 4i 
 
 7908 
 
 8122 
 
 8335 
 
 8549 
 
 8762 
 
 8975 
 
 18 
 
 42 
 
 4951 
 
 5209 
 
 5466 
 
 5724 
 
 5981 
 
 6238 
 
 17 
 
 42 
 
 9188 
 
 9401 
 
 9614 
 
 9827 
 
 ..40 
 
 . 252 
 
 17 
 
 43 
 
 6495 
 
 6752 
 
 7009 
 
 7265 
 
 7522 
 
 7778 
 
 16 
 
 43 
 
 9.000465 
 
 0677 
 
 0889 
 
 1102 
 
 i3i4 
 
 i526 
 
 16 
 
 44 
 
 8o34 
 
 8290 
 
 8546 
 
 8801 
 
 9057 
 
 9312 
 
 i5 
 
 44 
 
 1738 
 
 1949 
 
 2161 
 
 2373 
 
 2584 
 
 2795 
 
 i5 
 
 45 
 
 9568 
 
 9823 
 
 ..78 
 
 .332 
 
 .587 
 
 .84i 
 
 i4 
 
 45 
 
 3007 
 
 3218 
 
 3429 
 
 364o 
 
 385i 
 
 4061 
 
 i4 
 
 46 
 
 8.921096 
 
 i35o 
 
 i6o4 
 
 i858 
 
 21 12 
 
 2365 
 
 i3 
 
 46 
 
 4272 
 
 4483 
 
 4693 
 
 4904 
 
 5ii4 
 
 5324 
 
 i3 
 
 47 
 
 2619 
 
 2872 
 
 3i25 
 
 3378 
 
 363i 
 
 3884 
 
 12 
 
 47 
 
 5534 
 
 5744 
 
 5954 
 
 6164 
 
 6373 
 
 6583 
 
 12 
 
 48 
 
 4i36 
 
 4389 
 
 464i 
 
 4893 
 
 5i45 
 
 5397 
 
 II 
 
 48 
 
 6792 
 
 7002 
 
 721 1 
 
 7420 
 
 7629 
 
 7838 
 
 II 
 
 49 
 
 5649 
 
 5900 
 
 6i52 
 
 64o3 
 
 6654 
 
 6905 
 
 ro 
 
 49 
 
 8047 
 
 8256 
 
 8465 
 
 8673 
 
 8882 
 
 9090 
 
 10 
 
 5o 
 
 7i56 
 
 7407 
 
 7657 
 
 7908 
 
 8i58 
 
 84o8 
 
 9 
 
 5o 
 
 9298 
 
 9507 
 
 97i5 
 
 9923 
 
 .i3i 
 
 .338 
 
 9 
 
 5i 
 
 8658 
 
 8908 
 
 9i58 
 
 9407 
 
 9657 
 
 9906 
 
 8 
 
 5i 
 
 9.010546 
 
 0754 
 
 0961 
 
 1 169 
 
 1376 
 
 i583 
 
 8 
 
 52 
 
 8.930155 
 
 o4o4 
 
 o653 
 
 0902 
 
 I i5o 
 
 1399 
 
 7 
 
 52 
 
 1790 
 
 1997 
 
 22o4 
 
 241 1 
 
 2618 
 
 2824 
 
 7 
 
 53 
 
 1647 
 
 1895 
 
 2143 
 
 2391 
 
 2639 
 
 2887 
 
 6 
 
 53 
 
 3o3i 
 
 3237 
 
 3444 
 
 365o 
 
 3856 
 
 4062 
 
 6 
 
 54 
 
 3i34 
 
 338i 
 
 3629 
 
 3876 
 
 4l23 
 
 4369 
 
 5 
 
 54 
 
 4268 
 
 4474 
 
 468o 
 
 4886 
 
 5091 
 
 5297 
 
 5 
 
 55 
 
 46i6 
 
 4862 
 
 5109 
 
 5355 
 
 56oi 
 
 5847 
 
 4 
 
 55 
 
 55o2 
 
 5707 
 
 5913 
 
 6118 
 
 6323 
 
 6528 
 
 4 
 
 56 
 
 6093 
 
 6339 
 
 6584 
 
 683o 
 
 7075 
 
 7320 
 
 3 
 
 56 
 
 6732 
 
 6937 
 
 7142 
 
 7346 
 
 7551 
 
 7755 
 
 3 
 
 57 
 
 7565 
 
 7810 
 
 8o55 
 
 8299 
 
 8544 
 
 8788 
 
 2 
 
 57 
 
 7959 
 
 8i64 
 
 8368 
 
 8572 
 
 8776 
 
 8979 
 
 2 
 
 58 
 
 9032 
 
 9276 
 
 9520 
 
 9764 
 
 ...7 
 
 .25l 
 
 I 
 
 58 
 
 9183 
 
 9387 
 
 9590 
 
 9794 
 
 9997 
 
 .200 
 
 I 
 
 59 
 
 8.940494 
 
 0738 
 
 0981 
 
 1224 
 
 1467 
 
 1709 
 
 
 
 59 
 
 9.02o4o3 
 
 0606 
 
 0809 
 
 1012 
 
 I2l5 
 
 i4i8 
 
 
 
 
 60'- 
 
 50" 1 40" 1 30" 
 
 20" 
 
 10" 
 
 ii 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 a 
 
 Co-tangent of 85 Degrees. 
 
 Co-tangent of 84 Degrees. 
 
 p p„, j 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 r. rart ^ g^ ^^ gj ^^g ^^^ ^g^ jgg ^jg 342 
 
 p p J 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 i • ^^i"' ] 22 44 66 88 110 132 154 177 199 
 
30 
 
 Logarithmic Sines. 
 
 
 Sine of 6 Degrees. 
 
 
 
 Sine of 7 Degrees. 
 
 
 0" 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 
 
 9.019235 9435 
 
 9635 
 
 9835 
 
 ..35 
 
 .235 
 
 59 
 
 
 
 9.085894 
 
 6066 
 
 6237 
 
 6409 
 
 658o 
 
 6751 
 
 59 
 
 I 
 
 9.o2o435jo635 
 
 o834 
 
 io34 
 
 X233 
 
 i433 
 
 58 
 
 I 
 
 6922 
 
 7093 
 
 7264I7435 
 
 7606 
 
 7777 
 
 58 
 
 2 
 
 i632 
 
 i83i 
 
 2o3o 
 
 2229 
 
 2428 
 
 2627 
 
 57 
 
 2 
 
 7947 
 
 81x8 
 
 8288 
 
 8459 
 
 8629 
 
 8800 
 
 57 
 
 3 
 
 2825 
 
 ,3o24 
 
 3223 
 
 3421 
 
 3619 
 
 38i8 
 
 56 
 
 3 
 
 8970 
 
 9140 
 
 9310 
 
 9480 
 
 965x 
 
 9820 
 
 56 
 
 4 
 
 4oi6 
 
 ,42x4 
 
 44x2 
 
 46io 
 
 4807 
 
 5oo5 
 
 55 
 
 4 
 
 9990 
 
 . x6o 
 
 .33o 
 
 .5oo 
 
 .669 
 
 .839 
 
 55 
 
 5 
 
 52o3 
 
 54oo 
 
 5598 
 
 5795 
 
 5992 
 
 6x89 
 
 54 
 
 5 
 
 9.091008 
 
 X178 
 
 1 347 
 
 x5i6 
 
 x685 
 
 x855 
 
 54 
 
 6 
 
 6386 
 
 6583 
 
 6780 
 
 6977 
 
 7174 
 
 7370 
 
 53 
 
 6 
 
 2024 
 
 2x93 
 
 2362 
 
 253o 
 
 2699 
 
 2868 
 
 53 
 
 7 
 
 7567 
 
 7763 
 
 7960 
 
 Si56 
 
 8352 
 
 8548 
 
 52 
 
 7 
 
 3o37 
 
 32o5 
 
 3374 
 
 3542 
 
 371 1 
 
 3879 
 
 52 
 
 8 
 
 8744 
 
 8940 
 
 9x36 
 
 9332 
 
 9527 
 
 9723 
 
 5i 
 
 8 
 
 4047 
 
 4216 
 
 4384 
 
 4552 
 
 4720 
 
 4888 
 
 5i 
 
 9 
 
 9918 
 
 .1x4 
 
 .309 
 
 .5o4 
 
 .699 
 
 .894 
 
 5o 
 
 9 
 
 5o56 
 
 5223 
 
 5391 
 
 5559 
 
 5726 
 
 5894 
 
 5o 
 
 lO 
 
 9.031089 
 
 1284 
 
 1479 
 
 1673 
 
 x868 
 
 2062 
 
 49 
 
 xo 
 
 6062 
 
 6229 
 
 6396 
 
 6564 
 
 673X 
 
 6898 
 
 49 
 
 II 
 
 2257 
 
 245i 
 
 2645 
 
 2839 
 
 3o33 
 
 3227 
 
 48 
 
 XI 
 
 7065 
 
 7232 
 
 7399 
 
 7566 
 
 7733 
 
 7900 
 
 48 
 
 12 
 
 3421 
 
 36x5 
 
 3809 
 
 4002 
 
 4x96 
 
 4389 
 
 47 
 
 12 
 
 8066 
 
 8233 
 
 8399 
 
 8566 
 
 8732 
 
 8899 
 
 47 
 
 i3 
 
 4582 
 
 4776 
 
 4969 
 
 5x62 
 
 5355 
 
 5548 
 
 46 
 
 i3 
 
 9065 
 
 923x 
 
 9398 
 
 9564 
 
 9730 
 
 9896 
 
 46 
 
 i4 
 
 5741 
 
 5933 
 
 6126 
 
 63x9 
 
 65xx 
 
 6703 
 
 45 
 
 x4 
 
 9. 100062 
 
 0227 
 
 0393 
 
 0559 
 
 0725 
 
 0890 
 
 45 
 
 i5 
 
 6896 
 
 7088 
 
 7280 
 
 7472 
 
 7664 
 
 7856 
 
 44 
 
 i5 
 
 io56 
 
 I22X 
 
 x387 
 
 i552 
 
 17x7 
 
 i883 
 
 44 
 
 i6 
 
 8o48 
 
 8239 
 
 843i 
 
 8623 
 
 88x4 
 
 9005 
 
 43 
 
 x6 
 
 2048 
 
 22X3 
 
 2378 
 
 2543 
 
 2708 
 
 2873 
 
 43 
 
 I? 
 
 9197 
 
 9388 
 
 9579 
 
 9770 
 
 9961 
 
 . l52 
 
 42 
 
 17 
 
 3o37 
 
 3202 
 
 3367 
 
 353x 
 
 3696 
 
 386o 
 
 42 
 
 i8 
 
 9.040342 
 
 o533 
 
 0724 
 
 09x4 
 
 I xo5 
 
 X295 
 
 4i 
 
 x8 
 
 4o25 
 
 4x89 
 
 4353 
 
 4517 
 
 4682 
 
 4846 
 
 4i 
 
 19 
 
 i485 
 
 1675 
 
 i865 
 
 2o55 
 
 2245 
 
 2435 
 
 4o 
 
 19 
 
 5oio 
 
 5174 
 
 5337 
 
 55oi 
 
 5665 
 
 5829 
 
 4o 
 
 20 
 
 2625 
 
 28x5 
 
 3oo4 
 
 3194 
 
 3383 
 
 3572 
 
 39 
 
 20 
 
 5992 
 
 6i56 
 
 63i9 
 
 6483 
 
 6646 
 
 68x0 
 
 39 
 
 21 
 
 3762 3951 
 
 4i4o 
 
 4329 
 
 45x8 
 
 4707 
 
 38 
 
 21 
 
 6973 
 
 7i36 
 
 7299 
 
 7462 
 
 7625 
 
 7788 
 
 38 
 
 22 
 
 489515084 
 6026 6214 
 
 5273 
 
 546x 
 
 565o 
 
 5838 
 
 37 
 
 22 
 
 7951 
 
 8ii4 
 
 8277 
 
 8439 
 
 8602 
 
 8765 
 
 37 
 
 23 
 
 64o2 
 
 6590 
 
 6778 
 
 6966 
 
 36 
 
 23 
 
 8927 
 
 9090 
 
 9252 
 
 94x4 
 
 9577 
 
 9739 
 
 36 
 
 24 
 
 7i54'7342 
 
 7529 
 
 77x7 
 
 7904 
 
 8091 
 
 35 
 
 24 
 
 990X 
 
 ..63 
 
 .225 
 
 .387 
 
 .549 
 
 •711 
 
 35 
 
 25 
 
 82798466 
 
 8653 
 
 884o 
 
 9027 
 
 92x4 
 
 34 
 
 25 
 
 9. X10873 
 
 io34 
 
 II96 
 
 i358 
 
 i5x9 
 
 i68x 
 
 34 
 
 26 
 
 9400 9587 
 
 9774 
 
 9960 
 
 .x47 
 
 .333 
 
 33 
 
 26 
 
 1842 
 
 2oo3 
 
 2x65 
 
 2326 
 
 2487 
 
 2648 
 
 33 
 
 27 
 
 9.o5o5i9,07o6 
 
 0892 
 
 X078 
 
 X264 
 
 i45o 
 
 32 
 
 27 
 
 2809 
 
 2970 
 
 3i3x 
 
 3292 
 
 3453 
 
 36i3 
 
 32 
 
 28 
 
 i635 1821 
 
 2007 
 
 2192 
 
 2378 
 
 2563 
 
 3i 
 
 28 
 
 3774 
 
 3935 
 
 4095 
 
 4256 
 
 44x6 
 
 4577 
 
 3i 
 
 29 
 
 2749 2934 
 
 3119 
 
 33o4 
 
 3489 
 
 3674 
 
 3o 
 
 29 
 
 4737 
 
 4897 
 
 5o57 
 
 52x8 
 
 537815538 
 
 3o 
 
 3o 
 
 3859 4o44 
 
 4228 
 
 44x3 
 
 4597 
 
 4782 
 
 29 
 
 3o 
 
 5698 
 
 585b 
 
 60x7 
 
 6177 
 
 6337 
 
 6497 
 
 29 
 
 3i 
 
 4966i5i5o 
 
 5335 
 
 55x9 
 
 5703 
 
 5887 
 
 28 
 
 3x 
 
 C656 
 
 68x6 
 
 6975 
 
 7i35 
 
 7294 
 
 7453 
 
 28 
 
 32 
 
 6071 
 
 6254 
 
 6438 
 
 6622 
 
 68o5 
 
 6989 
 
 27 
 
 32 
 
 7G13 
 
 7772 
 
 793i 
 
 8090 
 
 8249 
 
 8408 
 
 27 
 
 33 
 
 7172 
 
 7356 
 
 7539 
 
 7722 
 
 7905 
 
 8088 
 
 26 
 
 33 
 
 8567 
 
 8726 
 
 8884 
 
 9043 
 
 9202 
 
 9360 
 
 26 
 
 34 
 
 8271 
 
 8454 
 
 8637 
 
 8820 
 
 9002 
 
 9x85 
 
 25 
 
 34 
 
 9519 
 
 9677 
 
 9836 
 
 9994 
 
 .l52 
 
 .3ix 
 
 25 
 
 35 
 
 9367 
 
 9550 
 
 9732 
 
 9914 
 
 ..96 
 
 .278 
 
 24 
 
 35 
 
 9. 120469 
 
 0627 
 
 0785 
 
 0943 
 
 IIOX 
 
 1259 
 
 24 
 
 36 
 
 9.060460 
 
 0642 
 
 0824 
 
 X006 
 
 X188 
 
 1369 
 
 23 
 
 36 
 
 14x7 
 
 1574 
 
 X732 
 
 X890 
 
 2047 
 
 2205 
 
 23 
 
 37 
 
 i55i 
 
 1732 
 
 1914 
 
 2095 
 
 2276 
 
 2457 
 
 22 
 
 37 
 
 2362 
 
 2520 
 
 2677 
 
 2835 
 
 2992 
 
 3i49 
 
 22 
 
 38 
 
 2639 
 
 2820 
 
 3ooi 
 
 3i8x 
 
 3362 
 
 3543 
 
 21 
 
 38 
 
 33o6 
 
 3463' 
 
 3620 
 
 3777 
 
 3934 
 
 4091 
 
 21 
 
 39 
 
 3724 3904 
 
 4o85 
 
 4265 
 
 4445 
 
 4626 
 
 20 
 
 39 
 
 4248 
 
 44o4 
 
 456i 
 
 4718 
 
 4874 
 
 5o3i 
 
 20 
 
 4o 
 
 48064986 
 
 5i66 
 
 5346 
 
 5526 
 
 5705 
 
 19 
 
 40 
 
 5x87 
 
 5344 
 
 55oo 
 
 5656 
 
 58i2 
 
 5969 
 
 19 
 
 4i 
 
 5885 6o65 
 
 6244 
 
 6424 
 
 66o3 
 
 6783 
 
 x8 
 
 4i 
 
 6x25 
 
 6281 
 
 6437 
 
 6593 
 
 6748 
 
 6904 
 
 18 
 
 42 
 
 6962 7i4i 
 
 7320 
 
 7499 
 
 7678 
 
 7857 
 
 17 
 
 42 
 
 7060 
 
 7216 
 
 7371 
 
 7527 
 
 7682 
 
 7838 
 
 17 
 
 43 
 
 8o36 82i5 
 
 8393 
 
 8572 
 
 875X 
 
 8929 
 
 16 
 
 43 
 
 7993 
 
 8x49 
 
 83o4 
 
 8459 
 
 86i4 
 
 8770 
 
 16 
 
 44 
 
 9107 9286 
 
 9464 
 
 9642 
 
 9820 
 
 9998 
 
 x5 
 
 44 
 
 8925 
 
 9080 
 
 9235 
 
 9390 
 
 9544 
 
 9699 
 
 i5 
 
 45 
 
 9.070176 o354 
 
 o532 
 
 0709 
 
 0887 
 
 xo65 
 
 i4 
 
 45 
 
 9854 
 
 ...9 
 
 .i63 
 
 .3i8 
 
 .472 
 
 .627 
 
 i4 
 
 46 
 
 1242 1420 
 
 x597 
 
 X774 
 
 X95X 
 
 2128 
 
 i3 
 
 46 
 
 9. 130781 
 
 0936 
 
 1090 
 
 1244 
 
 1398 
 
 x552 
 
 i3 
 
 47 
 
 23o6 2482 
 
 2659 
 
 2836 
 
 3ox3 
 
 3190 
 
 12 
 
 47 
 
 1706 
 
 i860 
 
 20X4 
 
 2168 
 
 2322 
 
 2476 
 
 12 
 
 48 
 
 3366 3543 
 
 3719 
 
 3896 
 
 4072 
 
 4248 
 
 II 
 
 48 
 
 263o 
 
 2783 
 
 2937 
 
 309X 
 
 3244 
 
 3398 
 
 II 
 
 49 
 
 4424 46oo 
 
 4777 
 
 4952 
 
 5x28 
 
 53o4 
 
 xo 
 
 49 
 
 355i 
 
 3704 
 
 3858 
 
 4oix 
 
 4x64 
 
 43x7 
 
 xo 
 
 5o 
 
 548o!5656 
 
 583x 
 
 6007 
 
 6x82 
 
 6358 
 
 9 
 
 5o 
 
 4470 
 
 4623 
 
 4776 
 
 4929 
 
 5082 
 
 5235 
 
 9 
 
 5i 
 
 6533,6708 
 
 6883 
 
 7o58 
 
 7233 
 
 74o8 
 
 8 
 
 5i 
 
 5387 
 
 5540 
 
 5693 
 
 5845 
 
 5998 
 
 6i5o 
 
 8 
 
 52 
 
 7583'7758 
 
 7933 
 
 8x07 
 
 8282 
 
 8457 
 
 7 
 
 52 
 
 63o3 
 
 6455 
 
 6607 
 
 6760 
 
 69x2 
 
 7064 
 
 7 
 
 53 
 
 863i 88o5 
 
 8980 
 
 9154 
 
 9328 
 
 95o2 
 
 6 
 
 53 
 
 7216 
 
 7368 
 
 7520 
 
 7672 
 
 7824 
 
 7976 
 
 6 
 
 54 
 
 9676,9850 
 
 ..24 
 
 .198 
 
 .372 
 
 .545 
 
 5 
 
 54 
 
 8128 
 
 8279 
 
 843 1 
 
 8582 
 
 8734 
 
 8886 
 
 5 
 
 55 
 
 9.080719 0892 
 
 1066 
 
 1239 
 
 x4i3 
 
 x586 
 
 4 
 
 55 
 
 9037 
 
 9188 
 
 9340 
 
 9491 
 
 9642 
 
 9793 
 
 4 
 
 56 
 
 1759,1932 
 
 2X05 
 
 2278 
 
 245l 
 
 2624 
 
 3 
 
 56 
 
 9944 
 
 ..96 
 
 .247 
 
 .398 
 
 .548 
 
 .699 
 
 3 
 
 57 
 
 27972969 
 
 3x42 
 
 33x4 
 
 3487 
 
 3659 
 
 2 
 
 57 
 
 9. i4o85o 
 
 lOOI 
 
 ii5x 
 
 x3o2 
 
 x453 
 
 x6o3 
 
 2 
 
 58 
 
 3832 
 
 4oo4 
 
 4176 
 
 4348 
 
 4520 
 
 4692 
 
 I 
 
 58 
 
 1754 
 
 1904 
 
 2o55 
 
 22o5 
 
 2355 
 
 25o5 
 
 I 
 
 5q 
 
 4864 
 
 5o36 
 
 5208 
 
 538o 
 
 555x 
 
 5723 
 
 
 
 59 
 
 2655 2806 
 
 2956 
 
 3 1 06 
 
 3256 34o5 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 
 60" 50" 
 
 40" 
 
 30" 
 
 20" 10" 
 
 i 
 
 Co-sine of 83 Desjrees. 
 
 Co-sine of 82 Degrees. 
 
 P.I 
 
 ,„,j 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 1 18 37 55 74 92 111 129 148 166 
 
 p p J 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 i.rart-j jg ^g ^g g^ g^ gg jjg 128 144 
 

 
 
 
 Logarithmic 
 
 Tangents. 
 
 
 
 
 
 31 
 
 
 Tangent of 6 Deo-rees. 
 
 
 .5 
 
 Tangent of 7 Degrees. 
 
 
 0" 
 
 10" 
 
 SO" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 o 
 
 9,021620 
 
 1823 
 
 2025 
 
 2227 
 
 243o 
 
 2602 
 
 59 
 
 
 
 g. 089144 
 
 9318 
 
 9492 
 
 g666 
 
 9839 
 
 ..i3 
 
 59 
 
 I 
 
 2834 
 
 3o36 
 
 3238 
 
 3439 
 
 364i 
 
 3843 
 
 58 
 
 I 
 
 g.ogoi87 
 
 o36i 
 
 o534 
 
 0708 
 
 0881 
 
 io54 
 
 58 
 
 2 
 
 4o44 
 
 4245 
 
 4447 
 
 4648 
 
 4849 
 
 5o5o 
 
 57 
 
 2 
 
 1228 
 
 i4oi 
 
 1574 
 
 1747 
 
 1920 
 
 2og3 
 
 57 
 
 3 
 
 535i 
 
 5452 
 
 5653 
 
 5853 
 
 6o54 
 
 6254 
 
 56 
 
 3 
 
 2266 
 
 2439 
 
 2612 
 
 2784 
 
 2957 
 
 3129 
 
 56 
 
 4 
 
 6455 
 
 6655 
 
 6855 
 
 7055 
 
 7255 
 
 7455 
 
 55 
 
 4 
 
 33o2 
 
 3474 
 
 3647 
 
 3819 
 
 3991 
 
 4i63 
 
 55 
 
 5 
 
 7655 
 
 7855 
 
 8o55 
 
 8254 
 
 8454 
 
 8653 
 
 54 
 
 5 
 
 4336 
 
 45o8 
 
 4680 
 
 485i 
 
 5o23 
 
 5ig5 
 
 54 
 
 6 
 
 8852 
 
 9052 
 
 925i 
 
 945o 
 
 9649 
 
 9848 
 
 53 
 
 6 
 
 5367 
 
 5538 
 
 5710 
 
 588i 
 
 6o53 
 
 6224 
 
 53 
 
 7 
 
 9.o3oo46 
 
 0245 
 
 0444 
 
 0642 
 
 o84i 
 
 1039 
 
 52 
 
 7 
 
 63g5 
 
 6567 
 
 6738 
 
 6909 
 
 7080 
 
 725 1 
 
 52 
 
 8 
 
 1237 
 
 1435 
 
 i633 
 
 i83i 
 
 2029 
 
 2227 
 
 5i 
 
 8 
 
 7422 
 
 7593 
 
 7764 
 
 7934 
 
 8io5 
 
 8276 
 
 5i 
 
 9 
 
 2425 
 
 2623 
 
 2820 
 
 3oi7 
 
 32i5 
 
 3412 
 
 5o 
 
 9 
 
 8446 
 
 8616 
 
 8787 
 
 8957 
 
 9127 
 
 9298 
 
 5o 
 
 10 
 
 3609 
 
 38o6 
 
 4oo3 
 
 4200 
 
 4397 
 
 4594 
 
 49 
 
 10 
 
 9468 
 
 9638 
 
 9808 
 
 9978 
 
 .i48 
 
 .317 
 
 4g 
 
 II 
 
 4791 
 
 4987 
 
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 12 
 
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 35 
 
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 35 
 
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 1197 
 
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 24 
 
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 23 
 
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 60" 
 
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 40" 
 
 30" 20" 
 
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 60" 
 
 50" 1 40" 
 
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 10" 
 
 d 
 
 Co-tangent of 83 Degrees. 
 
 Co-tangent of 82 Degrees. 
 
 P T.,rf i 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 r. 1 art ^ ^g 3^ ^g ^5 g^ ^^2 131 150 168 
 
 P P„,^ i 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 l.Fart^ jg 33 49 65 81 98 114 130 146 
 
32 
 
 
 
 
 Logarithmic Sines. 
 
 
 
 
 
 
 
 Sine of 8 Degrees. 
 
 
 d 
 
 Sine of 9 Degrees. 
 
 
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 23 
 
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 26 
 
 34 
 
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 3629 
 
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 25 
 
 34 
 
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 1242 
 
 25 
 
 35 
 
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 4187 
 
 4326 
 
 4465 
 
 46o5 
 
 24 
 
 35 
 
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 1492 
 
 1616 
 
 1741 
 
 1866 
 
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 24 
 
 36 
 
 4744 
 
 4883 
 
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 5439 
 
 23 
 
 36 
 
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 2364 
 
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 23 
 
 37 
 
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 22 
 
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 21 
 
 38 
 
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 39 
 
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 42 
 
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 17 
 
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 17 
 
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 16 
 
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 8784 
 
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 48 
 
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 3o5i 
 
 9 
 
 5i 
 
 7092 
 
 7228 
 
 7363 
 
 7498 
 
 7633 
 
 7768 
 
 8 
 
 5i 
 
 3172 
 
 3293 
 
 34i5 
 
 3536 
 
 3657 
 
 3778 
 
 8 
 
 52 
 
 7903 
 
 8o38 
 
 8173 
 
 83o8 
 
 8442 
 
 8577 
 
 7 
 
 52 
 
 3899 
 
 4o20 
 
 4i4i 
 
 4262 
 
 4383 
 
 45o4 
 
 7 
 
 53 
 
 8712 
 
 8847 
 
 8981 
 
 9116 
 
 9250 
 
 9385 
 
 6 
 
 53 
 
 4625 
 
 4746 
 
 4867 
 
 4987 
 
 5io8 
 
 5229 
 
 6 
 
 54 
 
 9519 
 
 9654 
 
 9788 
 
 9923 
 
 ..57 
 
 .191 
 
 5 
 
 54 
 
 5349 
 
 5470 
 
 5591 
 
 5711 
 
 5832 
 
 5952 
 
 5 
 
 55 
 
 9. 190325 
 
 o46o 
 
 0594 
 
 0728 
 
 0862 0996 
 
 4 
 
 55 
 
 6073 
 
 6193 
 
 63i3 
 
 6434 
 
 6554 
 
 6674 
 
 4 
 
 56 
 
 I i3o 
 
 1264 
 
 1398 
 
 i532 
 
 1665^1799 
 
 3 
 
 56 
 
 6795 
 
 6915 
 
 7o35 
 
 7i55 
 
 7275 
 
 7395 
 
 3 
 
 57 
 
 1933 
 
 2066 
 
 2200 
 
 2334 
 
 2467 
 
 2601 
 
 2 
 
 57 
 
 75i5 
 
 76357755 
 
 7875 
 
 7995 
 
 8ii5 
 
 2 
 
 58 
 
 2734 
 
 2868 
 
 3ooi 
 
 3i34 
 
 3268 
 
 3401 
 
 I 
 
 58 
 
 8235 
 
 8355 
 
 8474 
 
 8594 
 
 8714 
 
 8834 
 
 I 
 
 5q 
 
 3534 
 
 3667 
 
 38oo 
 
 3933 
 
 4o66 
 
 4199 
 
 
 
 59 
 
 8953 
 
 9073 
 
 9192 
 
 9312 
 
 943i 
 
 9551 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 d 
 
 Co-sine of 81 Degrees. 
 
 Co-sine of 80 Degrees. 
 
 P.I 
 
 , J 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 *"|14 28 43 56 70 85 99 113 127 
 
 „ „ Ml" 2" 3" 4" 5" 6" 7" 8" 9" 
 ^•^^"(13 25 38 50 63 75 88 101 113 
 

 
 
 
 Lo&AEITHMIC 
 
 Tangents 
 
 
 
 
 
 33 
 
 
 Tangent of 8 Degrees. 
 
 
 d 
 
 Tangent of 9 Degrees. 
 
 ■ 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0' 
 
 10' 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 c 
 
 9. 147802 
 
 795f 
 
 8 left 
 
 8261 
 
 84x3 
 
 8566 
 
 59 
 
 c 
 
 9.X99713 
 
 9849 
 
 9985 
 
 . X2I 
 
 .257 
 
 .393 
 
 59 
 
 I 
 
 8718 
 
 8871 
 
 9023 
 
 9175 
 
 9328 
 
 9480 
 
 58 
 
 I 
 
 9.200529 
 
 o665 
 
 0801 
 
 0937 
 
 XO73 
 
 1209 
 
 58 
 
 r 
 
 9632 
 
 9784 
 
 9936 
 
 ..88 
 
 .240 
 
 .392 
 
 57 
 
 2 
 
 x345 
 
 i48i 
 
 x6i6 
 
 X752 
 
 x888 
 
 2023 
 
 57 
 
 3 
 
 9.i5o544 
 
 0696 
 
 o848 
 
 0999 
 
 xi5x 
 
 x3o3 
 
 56 
 
 3 
 
 2x59 
 
 2294 
 
 243o 
 
 2565 
 
 2701 
 
 2836 
 
 56 
 
 4 
 
 1454 
 
 1606 
 
 1757 
 
 1909 
 
 2060 
 
 221 X 
 
 55 
 
 4 
 
 2971 
 
 3io7 
 
 3242 
 
 3377 
 
 35x2 
 
 3647 
 
 55 
 
 5 
 
 2363 
 
 25i4 
 
 2665 
 
 28x6 
 
 2967 
 
 3ix8 
 
 54 
 
 5 
 
 3782 
 
 3918 
 
 4o53 
 
 4i88 
 
 4322 
 
 4457 
 
 54 
 
 6 
 
 3269 
 
 3420 
 
 3571 
 
 3722 
 
 3873 
 
 4023 
 
 53 
 
 6 
 
 4592 
 
 4727 
 
 4862 
 
 4996 
 
 5x3i 
 
 5266 
 
 53 
 
 7 
 
 4174 
 
 4325 
 
 4475 
 
 4626 
 
 4776 
 
 4926 
 
 52 
 
 7 
 
 5400 
 
 5535 
 
 5669 
 
 58o4 
 
 5938 
 
 6073 
 
 52 
 
 8 
 
 5077 
 
 5227 
 
 5377 
 
 5528 
 
 5678 
 
 5828 
 
 5i 
 
 8 
 
 6207 
 
 6342 
 
 6476 
 
 66x0 
 
 6744 
 
 6878 
 
 5i 
 
 9 
 
 5978 
 
 6128 
 
 6278 
 
 6428 
 
 6578 
 
 6728 
 
 5o 
 
 9 
 
 70x3 
 
 7147 
 
 7281 
 
 74i5 
 
 7549 
 
 7683 
 
 5o 
 
 lO 
 
 6877 
 
 7027 
 
 7177 
 
 7326 
 
 7476 
 
 7625 
 
 49 
 
 xo 
 
 7817 
 
 7950 
 
 8084 
 
 8218 
 
 8352 
 
 8485 
 
 49 
 
 II 
 
 7775 
 
 79-4 
 
 8074 
 
 8223 
 
 8372 
 
 852X 
 
 48 
 
 XX 
 
 8619 
 
 8753 
 
 8886 
 
 9020 
 
 9x53 
 
 9287 
 
 48 
 
 12 
 
 8671 
 
 8820 
 
 8969 
 
 9118 
 
 9267 
 
 9416 
 
 47 
 
 12 
 
 9420 
 
 9554 
 
 9687 
 
 9820 
 
 9954 
 
 ..87 
 
 47 
 
 i3 
 
 9565 
 
 9713 
 
 9862 
 
 ..IX 
 
 . x6o 
 
 .3o8 
 
 46 
 
 i3 
 
 9.210220 
 
 o353 
 
 o486 
 
 06x9 
 
 0752 
 
 o885 
 
 46 
 
 i4 
 
 9. 160457 
 
 o6o5 
 
 0754 
 
 0902 
 
 •o5x 
 
 XX99 
 
 45 
 
 i4 
 
 xox8 
 
 X i5x 
 
 X284 
 
 1417 
 
 x55o 
 
 x683 
 
 45 
 
 i5 
 
 i347 
 
 1496 
 
 1644 
 
 1792 
 
 1940 
 
 2088 
 
 44 
 
 i5 
 
 i8i5 
 
 1948 
 
 2o8x 
 
 22X3 
 
 2346 
 
 2478 
 
 44 
 
 i6 
 
 2236 
 
 2384 
 
 2532 
 
 2680 
 
 2828 
 
 2975 
 
 43 
 
 16 
 
 261 1 
 
 2743 
 
 2876 
 
 3oo8 
 
 3x4x 
 
 3273 
 
 43 
 
 17 
 
 3x23 
 
 3271 
 
 3418 
 
 3566 
 
 37x3 
 
 386x 
 
 42 
 
 17 
 
 34o5 
 
 3537 
 
 3670 
 
 38o2 
 
 3934 
 
 4o66 
 
 42 
 
 18 
 
 4oo8 
 
 4i56 
 
 43o3 
 
 445o 
 
 4598 
 
 4745 
 
 4i 
 
 18 
 
 4x98 
 
 433o 
 
 4462 
 
 4594 
 
 4726 
 
 4858 
 
 4i 
 
 19 
 
 4892 
 
 5o39 
 
 5i86 
 
 5333 
 
 5480 
 
 5627 
 
 4o 
 
 19 
 
 4989 
 
 5x21 
 
 5253 
 
 5385 
 
 55x6 
 
 5648 
 
 4o 
 
 20 
 
 5774 
 
 5920 
 
 6067 
 
 62x4 
 
 636x 
 
 65o7 
 
 39 
 
 20 
 
 5780 
 
 59X X 
 
 6043 
 
 6174 
 
 63o5 
 
 6437 
 
 39 
 
 21 
 
 6654 
 
 6800 
 
 6947 
 
 7093 
 
 7240 
 
 7386 
 
 38 
 
 21 
 
 6568 
 
 6700 
 
 683i 
 
 6962 
 
 7093 
 
 7225 
 
 38 
 
 22 
 
 7532 
 
 7678 
 
 7825 
 
 7971 
 
 8x17 
 
 8263 
 
 37 
 
 22 
 
 7356 
 
 7487 
 
 7618 
 
 7749 
 
 7880 
 
 801 X 
 
 37 
 
 23 
 
 8409 
 
 8555 
 
 8701 
 
 8847 
 
 8992 
 
 9x38 
 
 36 
 
 23 
 
 8x42 
 
 8273 
 
 84o3 
 
 8534 
 
 8665 
 
 8796 
 
 36 
 
 24 
 
 9284 
 
 9430 
 
 9575 
 
 9721 
 
 9866 
 
 . . 12 
 
 35 
 
 24 
 
 8926 
 
 9057 
 
 9x88 
 
 93x8 
 
 9449 
 
 9579 
 
 35 
 
 25 
 
 9. 170157 
 
 o3o3 
 
 o448 
 
 0593 
 
 0739 
 
 0884 
 
 34 
 
 25 
 
 97x0 
 
 9840 
 
 9971 
 
 . lOI 
 
 .23x 
 
 .36i 
 
 34 
 
 26 
 
 1029 
 
 1 1 74 
 
 i3i9 
 
 i464 
 
 1609 
 
 1754 
 
 33 
 
 26 
 
 9.220492 
 
 0622 
 
 0752 
 
 0882 
 
 IOI2 
 
 x:42 
 
 33 
 
 27 
 
 1899 
 
 2044 
 
 2188 
 
 2333 
 
 2478 
 
 2623 
 
 32 
 
 27 
 
 1272 
 
 l402 
 
 x532 
 
 1662 
 
 X792 
 
 X922 
 
 32 
 
 28 
 
 2767 
 
 2912 
 
 3o56 
 
 3201 
 
 3345 
 
 3489 
 
 3i 
 
 28 
 
 2052 
 
 2182 
 
 23l X 
 
 2441 
 
 257X 
 
 2700 
 
 3i 
 
 29 
 
 3634 
 
 3778 
 
 3922 
 
 4067 
 
 421X 
 
 4355 
 
 3o 
 
 29 
 
 283o 
 
 2959 
 
 3089 
 
 32x8 
 
 3348 
 
 3477 
 
 3o 
 
 3o 
 
 4499 
 
 4643 
 
 4787 
 
 4931 
 
 5075 
 
 52x8 
 
 29 
 
 3o 
 
 3607 
 
 3736 
 
 3865 
 
 3994 
 
 4x24 
 
 4253 
 
 29 
 
 3i 
 
 5362 
 
 55o6 
 
 565o 
 
 5793 
 
 5937 
 
 6080 
 
 28 
 
 3x 
 
 4382 
 
 45x1 
 
 464o 
 
 4769 
 
 4898 
 
 5d27 
 
 28 
 
 32 
 
 6224 
 
 6367 
 
 65x1 
 
 6654 
 
 6797 
 
 6941 
 
 27 
 
 32 
 
 5x56 
 
 5285 
 
 54i4 
 
 5543 
 
 567X 
 
 58oo 
 
 27 
 
 33 
 
 7084 
 
 7227 
 
 7370 
 
 75x3 
 
 7656 
 
 7800 
 
 26 
 
 33 
 
 5929 
 
 6o58 
 
 6x86 
 
 63x5 
 
 6443 
 
 6572 
 
 26 
 
 34 
 
 7942 
 
 8o85 
 
 8228 
 
 8371 
 
 85x4 
 
 8657 
 
 25 
 
 34 
 
 6700 
 
 6829 
 
 6957 
 
 7086 
 
 7214 
 
 7342 
 
 25 
 
 35 
 
 8799 
 
 8942 
 
 9085 
 
 9227 
 
 9370 
 
 9512 
 
 24 
 
 35 
 
 7471 
 
 7599 
 
 7727 
 
 7855 
 
 7983 
 
 8x11 
 
 24 
 
 36 
 
 9655 
 
 9797 
 
 9939 
 
 ..82 
 
 .224 
 
 .366 
 
 23 
 
 36 
 
 8239 
 
 8368 
 
 8496 
 
 8623 
 
 8751 
 
 8879 
 
 23 
 
 37 
 
 9.i8o5o8 
 
 o65o 
 
 0792 
 
 0934 
 
 1076 
 
 12x8 
 
 22 
 
 37 
 
 9007 
 
 9x35 
 
 9263 
 
 9390 
 
 95x8 
 
 9646 
 
 22 
 
 38 
 
 i36o 
 
 l5o2 
 
 1 644 
 
 1786 
 
 1927 
 
 2069 
 
 21 
 
 38 
 
 9773 
 
 990X 
 
 ..29 
 
 .x56 
 
 .284 
 
 .411 
 
 21 
 
 39 
 
 221 1 
 
 2352 
 
 2494 
 
 2635 
 
 2777 
 
 2918 
 
 20 
 
 39 
 
 9.230539 
 
 0666 
 
 0793 
 
 0921 
 
 xo48 
 
 X X75 
 
 20 
 
 4o 
 
 3o59 
 
 320I 
 
 3342 
 
 3483 
 
 3625 
 
 3766 
 
 19 
 
 40 
 
 x3o2 
 
 i43o 
 
 x557 
 
 1684 
 
 x8xx 
 
 1938 
 
 19 
 
 4i 
 
 3907 
 
 4o48 
 
 4189 
 
 433o 
 
 4471 
 
 46x2 
 
 x8 
 
 4i 
 
 2o65 
 
 2192 
 
 23x9 
 
 2446 
 
 2573 
 
 2699 
 
 18 
 
 42 
 
 4752 
 
 4893 
 
 5o34 
 
 5175 
 
 53x5 
 
 5456 
 
 17 
 
 42 
 
 2826 
 
 2953 
 
 3o8o 
 
 3206 
 
 3333 
 
 3460 
 
 17 
 
 43 
 
 5597 
 
 5737 
 
 5878 
 
 6018 
 
 6x58 
 
 6299 
 
 16 
 
 43 
 
 3586 
 
 3713 
 
 3839 
 
 3966 
 
 4092 
 
 4219 
 
 16 
 
 44 
 
 6439 
 
 6579 
 
 6720 
 
 6860 
 
 7000 
 
 7x40 
 
 x5 
 
 44 
 
 4345 
 
 447' 
 
 4598 
 
 4724 
 
 485o 
 
 4976 
 
 i5 
 
 45 
 
 7280 
 
 7420 
 
 7560 
 
 7700 
 
 7840 
 
 7980 
 
 i4 
 
 45 
 
 5io3 
 
 5229 
 
 5355 
 
 5481 
 
 5607 
 
 5733 
 
 i4 
 
 46 
 
 8120 
 
 8259 
 
 8399 
 
 8539 
 
 8678 
 
 88x8 
 
 x3 
 
 46 
 
 5859 
 
 5985 
 
 6x 1 1 
 
 6237 
 
 6362 
 
 6488 
 
 x3 
 
 47 
 
 8958 
 
 9097 
 
 9236 
 
 9376 
 
 95x5 
 
 9655 
 
 12 
 
 47 
 
 66x4 
 
 6740 
 
 6865 
 
 699X 
 
 7x17 
 
 7242 
 
 12 
 
 48 
 
 9794 
 
 9933 
 
 ..72 
 
 .2x2 
 
 .35i 
 
 .490 
 
 XX 
 
 48 
 
 7368 
 
 7493 
 
 7619 
 
 7744 
 
 7870 
 
 7995 
 
 n 
 
 49 
 
 9. 190629 
 
 0768 
 
 0907 
 
 xo46 
 
 xi84 
 
 i323 
 
 xo 
 
 49 
 
 8x20 
 
 8246 
 
 8371 
 
 8496 
 
 862X 
 
 8747 
 
 10 
 
 5o 
 
 1462 
 
 1601 
 
 X739 
 
 1878 
 
 20x7 
 
 2x55 
 
 9 
 
 5o 
 
 8872 
 
 8997 
 
 9x22 
 
 9247 
 
 9372 
 
 9497 
 
 9 
 
 I' 
 
 2294 
 
 2432 
 
 2571 
 
 2709 
 
 2848 
 
 2986 
 
 8 
 
 5x 
 
 9622 
 
 9747 
 
 9872 
 
 9996 
 
 . X2X 
 
 .246 
 
 8 
 
 52 
 
 3l24 
 
 3262 
 
 340X 
 
 3539 
 
 3677 
 
 38x5 
 
 7 
 
 52 
 
 9.24037X 
 
 0495 
 
 0620 
 
 0745 
 
 0869 
 
 0994 
 
 7 
 
 53 
 
 3953 
 
 4091 
 
 4229 
 
 4367 
 
 45o5 
 
 4642 
 
 6 
 
 53 
 
 1118 
 
 1243 
 
 i367 
 
 1492 
 
 i6i6 
 
 1 74 1 
 
 6 
 
 54 
 
 4780 
 
 4918 
 
 5o56 
 
 5193 
 
 533x 
 
 5468 
 
 5 
 
 54 
 
 i865 
 
 1989 
 
 21 x4 
 
 2238 
 
 2362 
 
 2486 
 
 5 
 
 55 
 
 56o6 
 
 5743 
 
 588i 
 
 6018 
 
 6x56 
 
 6293 
 
 4 
 
 55 
 
 2610 
 
 2734 
 
 2858 
 
 2982 
 
 3io6 
 
 323o 
 
 4 
 
 56 
 
 643o 
 
 6567 
 
 6705 
 
 6842 
 
 6979 
 
 7x16 
 
 3 
 
 56 
 
 3354 
 
 3478 
 
 36o2 
 
 3726 
 
 385o 
 
 3974 
 
 3 
 
 57 
 
 7253 
 
 7390 
 
 7527 
 
 7664 
 
 780X 
 
 7938 
 
 2 
 
 57 
 
 4097 
 
 4221 
 
 4345 
 
 4468 
 
 4592 
 
 47i5 
 
 2 
 
 58 
 
 8074 
 
 8211 
 
 8348 
 
 8484 
 
 862X 
 
 8758 
 
 I 
 
 58 
 
 4839 
 
 4962 
 
 5o86 
 
 5209 
 
 5333 
 
 5456 
 
 I 
 
 59 
 
 8894 
 
 9o3i 
 
 9167 
 
 93o4 
 
 9440 
 
 9576 
 10" 
 
 
 
 59 
 
 5579 
 
 5703 
 
 5826 
 
 5949 
 
 6072 
 
 6x96 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 1 20" 1 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 Co-tangent of 81 Degrees. 
 
 Co-tangent of 80 Degrees. 
 
 P Pnrf 5 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 r.rart ^ ^^ gg 43 58 72 86 101 115 130 
 
 p v.rt i 1" 2" 3" 4" 5" 6" 7" 8" 9" 1 
 ^•^^" M3 26 39 52 65 78 91 103 116 
 
 c 
 
34 
 
 LOGAKITHMIC SiNES, 
 
 d 
 
 Sine of 10 Degrees. 
 
 
 
 Sine of 11 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 1 50" 
 
 O 
 
 0,230670 
 
 9790 
 
 9909 
 
 .'.'28 
 
 .i48 
 
 .267 
 
 59 
 
 
 
 9.280599 
 
 0707 
 
 o8i5 
 
 0924 
 
 io32 
 
 1 i4o 
 
 59 
 
 I 
 
 9.24o386 
 
 I lOI 
 
 o5o5 
 
 0624 
 
 0744 
 
 o863 
 
 0982 
 
 58 
 
 I 
 
 1248 
 
 i356 
 
 i465 
 
 1573 
 
 168] 
 
 1789 
 
 58 
 
 2 
 
 1220 
 
 1339 
 
 i458 
 
 1576 
 
 1695 
 
 57 
 
 2 
 
 1897 
 
 2oo5 
 
 21l3 
 
 2220 
 
 2328 
 
 2436 
 
 57 
 
 3 
 
 i8i4 
 
 1933 
 
 2o52 
 
 2170 
 
 2289 
 
 2408 
 
 56 
 
 3 
 
 2544 
 
 2652 
 
 2760 
 
 2867 
 
 2975 
 
 3o83 
 
 56 
 
 4 
 
 2526 
 
 2645 
 
 2763 
 
 2882 
 
 3ooi 
 
 3119 
 
 55 
 
 4 
 
 3190 
 
 3298 
 
 3406 
 
 35i3 
 
 3621 
 
 3728 
 
 55 
 
 5 
 
 3237 
 
 3356 
 
 3474 
 
 3592 
 
 3711 
 
 3829 
 
 54 
 
 5 
 
 3836 
 
 3943 
 
 4o5i 
 
 4i58 
 
 4266 
 
 4373 
 
 54 
 
 6 
 
 3947 
 
 4o65 
 
 4i84 
 
 43o2 
 
 4420 
 
 4538 
 
 53 
 
 6 
 
 4480 
 
 4588 
 
 4695 
 
 4802 
 
 4909 
 
 5oi7 
 
 53 
 
 7 
 
 4656 
 
 4774 
 
 4892 
 
 5oio 
 
 5128 
 
 5245 
 
 52 
 
 7 
 
 5 124 
 
 523i 
 
 5338 
 
 5445 
 
 5552 
 
 5659 
 
 52 
 
 8 
 
 5363 
 
 5481 
 
 5599 
 
 5717 
 
 5834 
 
 5952 
 
 5i 
 
 8 
 
 5766 
 
 5873 
 
 5980 
 
 6087 
 
 6194 
 
 63oi 
 
 5i 
 
 9 
 
 lO 
 
 6069 
 
 6187 
 
 63o5 
 
 6422 
 
 654o 
 
 6657 
 
 5o 
 
 9 
 
 64o8 
 
 65i4 
 
 6621 
 
 6728 
 
 6835 
 
 6941 
 
 5o 
 
 6775 
 
 6892 
 
 7009 
 
 7127 
 
 7244 
 
 7361 
 
 49 
 
 10 
 
 7048 
 
 7155 
 
 7261 
 
 7368 
 
 7474 
 
 7581 
 
 49 
 
 II 
 
 7478 
 
 7596 
 
 7713 
 
 7830 
 
 7947 
 
 8064 
 
 48 
 
 1 1 
 
 7688 
 
 7794 
 
 7900 
 
 8007 
 
 8ii3 
 
 8220 
 
 48 
 
 12 
 
 8181 
 
 8298 
 
 84 1 5 
 
 8532 
 
 8649 
 
 8766 
 
 47 
 
 12 
 
 8326 
 
 8432 
 
 8539 
 
 8645 
 
 8751 
 
 8857 
 
 47 
 
 i3 
 
 8883 
 
 8999 
 
 91 16 
 
 9233 
 
 9350 
 
 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 
 
 0748 
 
 0864 
 
 44 
 
 i5 
 
 9,290236 
 
 o342 
 
 0447 
 
 o553 
 
 0659 
 
 0765 
 
 44 
 
 i6 
 
 0980 
 
 1097 
 
 I2l3 
 
 1329 
 
 1445 
 
 i56i 
 
 43 
 
 16 
 
 0870 
 
 0976 
 
 1082 
 
 1187 
 
 1293 
 
 1398 
 
 43 
 
 '7 
 
 1677 
 
 1793 
 
 1939 
 
 2025 
 
 2l4l 
 
 2257 
 
 42 
 
 17 
 
 i5o4 
 
 1610 
 
 1715 
 
 1820 
 
 1926 
 
 203l 
 
 42 
 
 i8 
 
 2373 
 
 2489 
 
 26o5 
 
 2720 
 
 2836 
 
 2952 
 
 4i 
 
 18 
 
 2137 
 
 2242 
 
 2347 
 
 2453 
 
 2558 
 
 2663 
 
 4i 
 
 '9 
 
 3067 
 
 3i83 
 
 3299 
 
 34i4 
 
 353o 
 
 3645 
 
 4o 
 
 19 
 
 2768 
 
 2874 
 
 2979 
 
 3o84 
 
 3189 
 
 3294 
 
 4o 
 
 / 
 
 20 
 
 3761 
 
 3876 
 
 3992 
 
 4107 
 
 4223 
 
 4338 
 
 39 
 
 20 
 
 3399 
 
 35o4 
 
 3609 
 
 3714 
 
 3819 
 
 3924 
 
 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 
 
 4763 
 
 4867 
 
 4972 
 
 5o77 
 
 5i8i 
 
 37 
 
 23 
 
 5834 
 
 5949 
 
 6o64 
 
 6179 
 
 6294 
 
 6409 
 
 36 
 
 23 
 
 5286 
 
 5391 
 
 5495 
 
 56oo 
 
 5704 
 
 5809 
 
 36 
 
 24 
 
 6523 
 
 6638 
 
 6753 
 
 6867 
 
 6982 
 
 7096 
 
 35 
 
 24 
 
 5913 
 
 6017 
 
 6122 
 
 6226 
 
 633o 
 
 6435 
 
 35 
 
 25 
 
 721 1 
 
 7326 
 
 7440 
 
 7554 
 
 7669 
 
 7783 
 
 34 
 
 25 
 
 6539 
 
 6643 
 
 6747 
 
 6852 
 
 6956 
 
 7060 
 
 34 
 
 26 
 
 7898 
 
 8012 
 
 8126 
 
 8241 
 
 8355 
 
 8469 
 
 33 
 
 26 
 
 7164 
 
 7268 
 
 7372 
 
 7476 
 
 7580 
 
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 53 
 
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 6790 
 
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 4 
 
 55 
 
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 5096 
 
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 56 
 
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 8100 
 
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 56 
 
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 57 
 
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 57 
 
 6092 
 
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 6589 
 
 
 
 58 
 
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 9623 
 
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 58 
 
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 6788 
 
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 6986 
 
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 7185 
 
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 59 
 
 7284 
 
 7383 
 
 7482 
 
 7582 
 
 7681 
 
 7780 
 
 
 
 
 60" 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 s 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 Co-sine of 79 Dejrrees. 
 
 Co-sine of 78 Degrees. 
 
 
 „ I 1" 2" S" 4" 5" 6" 7" 8" 9" 
 
 
 (1" 2" 3" 4" 5" 6" 7" 8" 9" 
 
 P. 
 
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 I'd 34 45 57 68 80 91 102 
 
 P. 
 
 ^"•""l 10 21 31 41 52 62 72 83 
 
 93 
 

 
 
 
 Logarithmic 
 
 Tangents. 
 
 
 
 
 
 35 
 
 
 Tanoent of 10 Degrees. 
 
 
 s 
 
 Tangent of 11 Degrees. 
 
 
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 10" 
 
 20" 
 
 30" 
 
 1 40" 
 
 50" 
 
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 20" 
 
 30" 40" 
 
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 9.2463iy 
 
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 59 
 
 
 
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 58 
 
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 58 
 
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 7917 
 
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 57 
 
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 .223 
 
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 57 
 
 3 
 
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 8775 
 
 8897 9020 
 
 9142 
 
 56 
 
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 9.290671 
 
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 56 
 
 4 
 
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 9631 9753 
 
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 55 
 
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 55 
 
 5 
 
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 54 
 
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 54 
 
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 53 
 
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 2682 
 
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 53 
 
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 52 
 
 7 
 
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 52 
 
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 16 
 
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 17 
 
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 42 
 
 17 
 
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 42 
 
 18 
 
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 18 
 
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 20 
 
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 1459 
 
 39 
 
 20 
 
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 39 
 
 21 
 
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 1935 
 
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 38 
 
 21 
 
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 38 
 
 22 
 
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 37 
 
 22 
 
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 38o5 
 
 37 
 
 23 
 
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 3243 
 
 336i 
 
 3480 
 
 3599 
 
 36 
 
 23 
 
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 4349 
 
 4458 
 
 36 
 
 24 
 
 3717 
 
 3836 
 
 3954 
 
 4073 
 
 4191 
 
 43io 
 
 35 
 
 24 
 
 4567 
 
 4675 
 
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 35 
 
 25 
 
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 4547 
 
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 5o20 
 
 34 
 
 25 
 
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 34 
 
 26 
 
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 5375 
 
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 5729 
 
 33 
 
 26 
 
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 5977 
 
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 63o2 
 
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 33 
 
 27 
 
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 6437 
 
 32 
 
 27 
 
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 6627 
 
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 32 
 
 28 
 
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 28 
 
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 29 
 
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 27 
 
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 27 
 
 33 
 
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 26 
 
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 26 
 
 34 
 
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 1012 
 
 1129 
 
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 25 
 
 34 
 
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 35 
 
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 24 
 
 35 
 
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 1792 
 
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 24 
 
 36 
 
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 23 
 
 36 
 
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 2754 
 
 2861 
 
 23 
 
 37 
 
 2876 
 
 2992 
 
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 3341 
 
 3457 
 
 22 
 
 37 
 
 2968 
 
 3074 
 
 3i8i 
 
 3288 
 
 3394 
 
 35oi 
 
 22 
 
 38 
 
 3573 
 
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 38o5 
 
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 21 
 
 38 
 
 36o8 
 
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 21 
 
 39 
 
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 20 
 
 39 
 
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 4353 
 
 4460 
 
 45-66 
 
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 4779 
 
 20 
 
 40 
 
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 5196 
 
 53i2 
 
 5427 
 
 5543 
 
 19 
 
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 4885 
 
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 52o4 
 
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 5416 
 
 19 
 
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 18 
 
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 5629 
 
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 6o53 
 
 18 
 
 42 
 
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 6467 
 
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 6928 
 
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 7324 
 
 16 
 
 44 
 
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 44 
 
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 45 
 
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 45 
 
 8064 
 
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 46 
 
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 46 
 
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 9119 
 
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 47 
 
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 12 
 
 47 
 
 9330 
 
 9435 
 
 9540 
 
 9645 
 
 975i 
 
 9856 
 
 12 
 
 48 
 
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 0717 
 
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 0945 
 
 1059 
 
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 48 
 
 9961 
 
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 .171 
 
 .277 
 
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 1 1 
 
 49 
 
 1 1 74 
 
 1288 
 
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 1744 
 
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 9.320592 
 
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 1012 
 
 1117 
 
 10 
 
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 2087 
 
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 23l4 
 
 2428 
 
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 1746 
 
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 2542 
 
 2656 
 
 2770 
 
 2884 
 
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 8 
 
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 1955 
 
 2060 
 
 2i65 
 
 2269 
 
 2374 
 
 8 
 
 52 
 
 3225 
 
 3339 
 
 3453 
 
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 368o 
 
 3793 
 
 7 
 
 52 
 
 2479 
 
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 2688 
 
 2793 
 
 2897 
 
 3002 
 
 7 
 
 53 
 
 3907 
 
 4o2I 
 
 4i34 
 
 4248 
 
 436i 
 
 4474 
 
 6 
 
 53 
 
 3to6 
 
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 33i5 
 
 3420 
 
 3524 
 
 3628 
 
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 54 
 
 4588 
 
 4701 
 
 48i5 
 
 4928 
 
 5o4i 
 
 5i54 
 
 5 
 
 54 
 
 3733 
 
 3837 
 
 3941 
 
 4o46 
 
 4i5o 
 
 4254 
 
 5 
 
 55 
 
 5268 
 
 538i 
 
 5494 
 
 5607 
 
 5720 
 
 5833 
 
 4 
 
 55 
 
 4358 
 
 4463 
 
 4567 
 
 4671 
 
 4775 
 
 4879 
 
 4 
 
 56 
 
 5947 
 
 6060 
 
 6173 
 
 628616399 
 
 65i2 
 
 3 
 
 56 
 
 4983 
 
 5087 
 
 5191 
 
 5295 
 
 5399 
 
 55o3 
 
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 57 
 
 6624 
 
 6737 
 
 685o 
 
 6963 
 
 7076 
 
 7189 
 
 2 
 
 57 
 
 5607 
 
 571 1 
 
 58i5 
 
 5919 
 
 6023 
 
 6127 
 
 2 
 
 58 
 
 73oi 
 
 74i4 
 
 7527 
 
 7639 
 
 7752 
 
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 I 
 
 58 
 
 623i 
 
 6334 
 
 6438 
 
 6542 
 
 6646 
 
 6749 
 
 I 
 
 59 
 
 7977 
 
 8090 
 
 8202 
 
 83i5 
 
 8427 
 
 854o 
 
 
 
 59 
 
 6853 
 
 6957 
 
 7060 
 
 7164 
 
 7267 
 
 7371 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 d 
 
 
 60" 
 
 50" 
 
 40" 30" 
 
 20" 
 
 in" 
 
 
 Co-tangent of 79 Degrees. 
 
 Co-tangent of 78 Degrees. 
 
 P P„f i 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 1 . 1 art "I j2 23 gg ^^ gg ^Q g2 94 106 
 
 „ p A 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 P.Partjj^ 33 33 43 54 65 75 86 97 
 
36 
 
 
 
 
 LOGAEITHMIC SiNES. 
 
 
 
 
 
 
 
 Sine of 12 Degrees. 
 
 
 
 Sine of 13 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 1 10" 
 
 20" 1 30" 
 
 40" 
 
 50" 
 
 o 
 
 9.317879 
 
 7978 
 
 8077 
 
 8176 
 
 8275 
 
 8374 
 
 59 
 
 
 
 9.352088 
 
 2179 
 
 2270 2362 
 
 2453 
 
 2544 
 
 59 
 
 I 
 
 8473 
 
 8572 
 
 8671 
 
 8769 
 
 8868 
 
 8967 
 
 58 
 
 1 
 
 2635 
 
 2726 
 
 2817 
 
 2908 
 
 2999 
 
 3090 
 
 58 
 
 2 
 
 9066 
 
 9165 
 
 9263 
 
 9362 
 
 9461 
 
 9559 
 
 57 
 
 2 
 
 3i8i 
 
 3272 
 
 3363 
 
 3454 
 
 3545 
 
 3636 
 
 57 
 
 3 
 
 9658 
 
 9757 
 
 9855 
 
 9954 
 
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 56 
 
 3 
 
 3726 
 
 3817 
 
 3908 
 
 3999 
 
 4090 
 
 4i8o 
 
 56 
 
 4 
 
 9.320249 
 
 o348 
 
 o446 
 
 o545 
 
 0643 
 
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 55 
 
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 34 
 
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 33 
 
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 32 
 
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 55 
 
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 54 
 
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 53 
 
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 39 
 
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 37 
 
 22 
 
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 23 
 
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 27 
 
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 24 
 
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 23 
 
 37 
 
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 22 
 
 37 
 
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 38 
 
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 06 1 3 
 
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 21 
 
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 21 
 
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 44 
 
 8084 
 
 8175 
 
 8266 
 
 8358 
 
 8449 
 
 854o 
 
 i5 
 
 45 
 
 464o 
 
 4738 
 
 4836 
 
 4934 
 
 5o3i 
 
 5i29 
 
 i4 
 
 45 
 
 863i 
 
 8722 
 
 88i4 
 
 8905 
 
 8996 
 
 9087 
 
 i4 
 
 46 
 
 5227 
 
 5324 
 
 5422 
 
 5520 
 
 56i7 
 
 5715 
 
 i3 
 
 46 
 
 9178 
 
 9269 
 
 9360 
 
 945 1 
 
 9542 
 
 9633 
 
 i3 
 
 47 
 
 58i3 
 
 5910 
 
 6008 
 
 6io5 
 
 6203 
 
 63oo 
 
 12 
 
 47 
 
 9724 
 
 9815 
 
 9906 
 
 9997 
 
 ..88 
 
 .179 
 
 12 
 
 48 
 
 6398 
 
 6495 
 
 6593 
 
 6690 
 
 6787 
 
 6885 
 
 1 1 
 
 48 
 
 9.390270 
 
 o36i 
 
 0452 
 
 o543 
 
 o633 
 
 0724 
 
 II 
 
 49 
 
 6982 
 
 7079 
 
 7177 
 
 7274 
 
 7371 
 
 7469 
 
 10 
 
 49 
 
 08 1 5 
 
 0906 
 
 0997 
 
 1087 
 
 1 1 78 
 
 1269 
 
 10 
 
 JO 
 
 9.357566 
 
 7663 
 
 7760 
 
 7857 
 
 7954 
 
 8o52 
 
 9 
 
 5o 
 
 9.391360 
 
 i45o 
 
 i54i 
 
 i632 
 
 1722 
 
 i8i3 
 
 9 
 
 5i 
 
 8149 
 
 8246 
 
 8343 
 
 844o 
 
 8537 
 
 8634 
 
 8 
 
 5i 
 
 1903 
 
 1994 
 
 2o85 
 
 2175 
 
 2266 
 
 2356 
 
 8 
 
 52 
 
 8731 
 
 8828 
 
 8925 
 
 9022 
 
 9119 
 
 9216 
 
 7 
 
 52 
 
 2447 
 
 2537 
 
 2628 
 
 2718 
 
 2808 
 
 2899 
 
 7 
 
 53 
 
 93i3 
 
 9409 
 
 9506 
 
 9603 
 
 9700 
 
 9797 
 
 6 
 
 53 
 
 2989 
 
 3o8o 
 
 3170 
 
 3260 
 
 335i 
 
 3441 
 
 6 
 
 54 
 
 9893 
 
 9990 
 
 ..87 
 
 .184 
 
 .280 
 
 .377 
 
 5 
 
 54 
 
 353i 
 
 3622 
 
 3712 
 
 38o2 
 
 3892 
 
 3983 
 
 5 
 
 55 
 
 9.360474 
 
 0570 
 
 0667 
 
 0763 
 
 0860 
 
 0957 
 
 4 
 
 55 
 
 4073 
 
 4i63 
 
 4253 
 
 4343 
 
 4433 
 
 4523 
 
 4 
 
 56 
 
 io53 
 
 ii5o 
 
 1246 
 
 i343 
 
 1439 
 
 I 535 
 
 3 
 
 56 
 
 46i4 
 
 4704 
 
 4794 
 
 4884 
 
 4974:5o64 
 
 
 
 57 
 
 i632 
 
 1728 
 
 1825 
 
 1921 
 
 2017 
 
 21 14 
 
 2 
 
 57 
 
 5i54 
 
 5244 
 
 5334 
 
 5424 
 
 55i4 
 
 56o4 
 
 2 
 
 58 
 
 2210 
 
 23o6 
 
 24o3 
 
 2499 
 
 2595 
 
 2691 
 
 I 
 
 58 
 
 5694 
 
 5783 
 
 5873 
 
 5963 
 
 6o53 
 
 6143 
 
 I 
 
 59 
 
 2787 
 
 2884 
 
 2980 
 
 3076 
 
 3172 
 
 3268 
 
 
 
 59 
 
 6233 
 
 6322 
 
 64 1 2 
 
 65o2 
 
 6592 
 
 6681 
 
 
 
 d 
 
 
 60" 
 
 50" 1 40" 
 
 30" 1 20" 
 
 10" 
 
 d 
 
 
 60" 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 Co-tangent of 77 Degrees. 
 
 Co-tangent of 76 Degrees. 
 
 „ p (1" 3" 3" 4" 5" 6" 7" 8" 9" 
 *^- ' '"■^ ( 10 20 30 40 50 60 70 80 90 
 
 „ „ , ( 1" 3" 3" 4" 5" 6" 7" 8" 9" 
 l-.Fart^g 19 28 37 46 56 65 74 83 
 
38 
 
 Logarithmic Sines, 
 
 
 Sine of 14 Degrees. 
 
 
 
 Sine of 15 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 
 0" 
 
 10" 
 
 20' 
 
 30" 
 
 40" 
 
 50" 
 
 c 
 
 ) 9.383675 
 
 ) 3760 3844 392!: 
 
 *4oi3 
 
 4097 
 
 59 
 
 
 
 9.41299b 
 
 3075 
 
 3x53 3232 
 
 33x0 
 
 33S9 
 
 59 
 
 I 
 
 4182 
 
 426C 
 
 )435c 
 
 )443f 
 
 ) 4519 
 
 46o3 
 
 58 
 
 I 
 
 3467 
 
 3546 
 
 3624 
 
 3703 
 
 3781 
 
 386o 
 
 58 
 
 2 
 
 4687 
 
 4772 
 
 485e 
 
 494c 
 
 ) 502Z 
 
 5io8 
 
 57 
 
 2 
 
 3938 
 
 4oi6 
 
 4095 
 
 4173 
 
 4252 
 
 433o 
 
 57 
 
 3 
 
 5192 
 
 5277 
 
 536i 
 
 544s 
 
 5529 
 
 56i3 
 
 56 
 
 3 
 
 4408 
 
 4486 
 
 4565 
 
 4643 
 
 4721 
 
 4800 
 
 56 
 
 h 
 
 5697 
 
 5781 
 
 5865 
 
 5949 
 
 6o33 
 
 6117 
 
 55 
 
 4 
 
 4878 
 
 4956 
 
 5o34 
 
 5i 12 
 
 5190 
 
 5269 
 
 55 
 
 5 
 
 6201 
 
 6285 
 
 6369 
 
 6452 
 
 6536 
 
 6620 
 
 54 
 
 5 
 
 5347 
 
 5425 
 
 55o3 
 
 558i 
 
 5659 
 
 5737 
 
 54 
 
 6 
 
 6704 
 
 6788 
 
 6872 
 
 6955 
 
 7039 
 
 7123 
 
 53 
 
 6 
 
 58x5 
 
 5893 
 
 5971 
 
 6049 
 
 6127 
 
 6205 
 
 53 
 
 7 
 
 7207 
 
 7290 
 
 7374 
 
 7458 
 
 7541 
 
 7625 
 
 52 
 
 7 
 
 6283 
 
 636i 
 
 6439 
 
 65i7 
 
 6595 
 
 6673 
 
 52 
 
 8 
 
 7709 
 
 7792 
 
 7876 
 
 7959 
 
 8043 
 
 8127 
 
 5i 
 
 8 
 
 6751 
 
 6828 
 
 6906 
 
 6984 
 
 7062 
 
 7140 
 
 5i 
 
 9 
 
 8210 
 
 8294 
 
 8377 
 
 846i 
 
 8544 
 
 8627 
 
 5o 
 
 9 
 
 7217 
 
 7295 
 
 7373 
 
 745i 
 
 7528 
 
 7606 
 
 5o 
 
 10 
 
 9.388711 
 
 8794 
 
 8878 
 
 8961 
 
 9044 
 
 9128 
 
 49 
 
 10 
 
 9.417684 
 
 7761 
 
 7839 
 
 7917 
 
 7994 
 
 8072 
 
 49 
 
 II 
 
 9211 
 
 9294 
 
 9378 
 
 9461 
 
 9544 
 
 9627 
 
 48 
 
 II 
 
 8i5o 
 
 8227 
 
 83o5 
 
 8382 
 
 846o 
 
 8537 
 
 48 
 
 12 
 
 9711 
 
 9794 
 
 9877 
 
 9960 
 
 ..43 
 
 . 126 
 
 47 
 
 12 
 
 86i5 
 
 8692 
 
 8770 
 
 8847 
 
 8925 
 
 9002 
 
 47 
 
 i3 
 
 9.390210 
 
 0293 
 
 0376 
 
 0459 
 
 o542 
 
 0625 46 
 
 i3 
 
 9079 
 
 9157 
 
 9234 
 
 93x2 
 
 9389 
 
 9466 
 
 46 
 
 i4 
 
 0708 
 
 0791 
 
 0874 
 
 0957 
 
 io4o 
 
 I 123 
 
 45 
 
 14 
 
 9544 
 
 9621 
 
 9698 
 
 9776 
 
 9853 
 
 9930 
 
 45 
 
 i5 
 
 1206 
 
 1289 
 
 1371 
 
 1454 
 
 i537 
 
 1620 
 
 44 
 
 i5 
 
 9. 420007 
 
 oo85 
 
 0162 
 
 0239 
 
 o3i6 
 
 0398 
 
 44 
 
 i6 
 
 1703 
 
 1786 
 
 1868 
 
 1951 
 
 2o34 
 
 2117 
 
 43 
 
 16 
 
 0470 
 
 o548 
 
 0625 
 
 0702 
 
 0779 
 
 o856 
 
 43 
 
 I? 
 
 2199 
 
 2282 
 
 2365 
 
 2447 
 
 253o 
 
 2613 
 
 42 
 
 17 
 
 0933 
 
 XOIO 
 
 1087 
 
 XI 64 
 
 I24l 
 
 x3i8 
 
 42 
 
 i8 
 
 2695 
 
 2778 
 
 2860 
 
 2943 
 
 3o25 
 
 3io8 
 
 4i 
 
 18 
 
 1395 
 
 1472 
 
 1549 
 
 1626 
 
 X703 
 
 1780 
 
 4i 
 
 19 
 
 3191 
 
 3273 
 
 3356 
 
 3438 
 
 3520 
 
 36o3 
 
 4o 
 
 ^9 
 
 1857 
 
 1933 
 
 20x0 
 
 2087 
 
 2164 
 
 224l 
 
 4o 
 
 20 
 
 9.393685 
 
 3768 
 
 385o 
 
 3932 
 
 4oi5 
 
 4097 
 
 39 
 
 20 
 
 9. 4223x8 
 
 2394 
 
 2471 
 
 2548 
 
 2625 
 
 2701 
 
 39 
 
 21 
 
 4179 
 
 4262 
 
 4344 
 
 4426 
 
 45o8 
 
 4591 
 
 38 
 
 21 
 
 2778 
 
 2855 
 
 2931 
 
 3oo8 
 
 3o85 
 
 3i6i 
 
 38 
 
 22 
 
 4673 
 
 4755 
 
 4837 
 
 4919 
 
 5002 
 
 5o84 
 
 37 
 
 22 
 
 3238 
 
 33i5 
 
 3391 
 
 3468 
 
 3544 
 
 362X 
 
 37 
 
 23 
 
 5i66 
 
 5248 
 
 533o 
 
 54i2 
 
 5494 
 
 5576 
 
 36 
 
 23 
 
 3697 
 
 3774 
 
 385o 
 
 3927 
 
 4oo3 
 
 4o8o 
 
 36 
 
 24 
 
 5658 
 
 5740 
 
 5822 
 
 5904 
 
 5986 
 
 6068 
 
 35 
 
 24 
 
 4i56 
 
 4233 
 
 4309 
 
 4386 
 
 4462 
 
 4538 
 
 35 
 
 25 
 
 6i5o 
 
 6232 
 
 63i4 
 
 6395 
 
 6477 
 
 6559 
 
 34 
 
 25 
 
 46x5 
 
 4691 
 
 4767 
 
 4844 
 
 4920 
 
 4996 
 
 34 
 
 26 
 
 664i 
 
 6723 
 
 68o5 
 
 6886 
 
 6968 
 
 7o5o 
 
 33 
 
 26 
 
 5073 
 
 5i49 
 
 5225 
 
 53oi 
 
 5378 
 
 5454 
 
 83 
 
 27 
 
 7i32 
 
 7213 
 
 7295 
 
 7377 
 
 7458 
 
 7540 
 
 32 
 
 27 
 
 553o 
 
 56o6 
 
 5682 
 
 5758 
 
 5835 
 
 59x1 
 
 32 
 
 28 
 
 7621 
 
 7703 
 
 7785 
 
 7866 
 
 7948 
 
 8029 
 
 3i 
 
 28 
 
 5987 
 
 6o63 
 
 6x39 
 
 62x5 
 
 629X 
 
 6867 
 
 3x 
 
 29 
 
 8111 
 
 8192 
 
 8274 
 
 8355 
 
 8437 
 
 85x8 
 
 3o 
 
 29 
 
 6443 
 
 65i9 
 
 6595 
 
 667X 
 
 6747 
 
 6823 
 
 3o 
 
 3o 
 
 9.398600 
 
 8681 
 
 8762 
 
 8844 
 
 8925 
 
 9007 
 
 29 
 
 3o 
 
 9. 426899 
 
 6975 
 
 7o5i 
 
 7127 
 
 7202 
 
 7278 
 
 29 
 
 3i 
 
 9088 
 
 9169 
 
 9250 
 
 9332 
 
 94i3 
 
 9494 
 
 28 
 
 3i 
 
 7354 
 
 743o 
 
 75o6 
 
 7582 
 
 7657 
 
 7733 
 
 28 
 
 32 
 
 9575 
 
 9657 
 
 9738 
 
 9819 
 
 9900 
 
 9981 
 
 27 
 
 32 
 
 7809 
 
 7885 
 
 7960 
 
 8o36 
 
 8x12 
 
 8187 
 
 27 
 
 33 
 
 9.400062 
 
 0144 
 
 0225 
 
 o3o6 
 
 o387 
 
 o468 
 
 26 
 
 33 
 
 8263 
 
 8339 
 
 84i4 
 
 8490 
 
 8566 
 
 864i 
 
 26 
 
 34 
 
 0549 
 
 o63o 
 
 07II 
 
 0792 
 
 0873 
 
 0954 
 
 25 
 
 34 
 
 8717 
 
 8792 
 
 8868 
 
 8944 
 
 9019 
 
 9095 
 
 25 
 
 35 
 
 io35 
 
 1116 
 
 II97 
 
 1277 
 
 i358 
 
 1439 
 
 24 
 
 35 
 
 9x70 
 
 9246 
 
 9321 
 
 9397 
 
 9472 
 
 9547 
 
 24 
 
 36 
 
 l520 
 
 1 60 1 
 
 1682 
 
 1762 
 
 1843 
 
 1924 
 
 23 
 
 36 
 
 9623 
 
 9698 
 
 9774 
 
 9849 
 
 99^4 
 
 
 23 
 
 37 
 
 2oo5 
 
 2o85 
 
 2166 
 
 2247 
 
 2328 
 
 2408 
 
 22 
 
 37 
 
 9. 430075 
 
 oi5o 
 
 0226 
 
 o3ox 
 
 0376 
 
 045 1 
 
 22 
 
 38 
 
 2489 
 
 2570 
 
 265o 
 
 2731 
 
 2811 
 
 2892 
 
 2X 
 
 38 
 
 o527 
 
 0602 
 
 0677 
 
 0752 
 
 0828 
 
 0903 
 
 21 
 
 39 
 
 2972 
 
 3o53 
 
 3i33 
 
 3214 
 
 3294 
 
 3375 
 
 20 
 
 39 
 
 0978 
 
 io53 
 
 1x28 
 
 I203 
 
 1278 
 
 i354 
 
 20 
 
 4o 
 
 9.403455 
 
 3536 
 
 36x6 
 
 3697 
 
 3777 
 
 3857 
 
 19 
 
 4o 
 
 9.431429 
 
 x5o4 
 
 1579 
 
 i654 
 
 1729 
 
 i8o4 
 
 19 
 
 4i 
 
 3938 
 
 4oi8 
 
 4098 
 
 4179 
 
 4259 
 
 4339 
 
 x8 
 
 4i 
 
 1879 
 
 1954 
 
 2029 
 
 2I04 
 
 2x79 
 
 2254 
 
 x8 
 
 42 
 
 4420 
 
 45oo 
 
 458o 
 
 466o 
 
 4741 
 
 4821 
 
 17 
 
 42 
 
 2329 
 
 24o3 
 
 2478 
 
 2553 
 
 2628 
 
 2708 17 
 
 43 
 
 4901 
 
 4981 
 
 5o6i 
 
 5i4i 
 
 5221 
 
 53o2 
 
 16 
 
 43 
 
 2778 
 
 2853 
 
 2927 
 
 3002 
 
 3077 
 
 3i52 16 
 
 44 
 
 5382 
 
 5462 
 
 5542 
 
 5622 
 
 5702 
 
 5782 
 
 i5 
 
 44 
 
 3226 
 
 33oi 
 
 3376 
 
 345i 
 
 3525 
 
 36oo 
 
 i5 
 
 45 
 
 5862 
 
 5942 
 
 6022 
 
 6102 
 
 6181 
 
 6261 
 
 i4 
 
 45 
 
 3675 
 
 3749 
 
 3824 
 
 3898 
 
 3973 
 
 4o48 
 
 i4 
 
 46 
 
 634i 
 
 6421 
 
 65oi 
 
 658i 
 
 6661 
 
 6740 
 
 i3 
 
 46 
 
 4X22 
 
 4x97 
 
 4271 
 
 4346 
 
 4420 
 
 4495 
 
 i3 
 
 47 
 
 6820 
 
 6900 
 
 6980 
 
 7060 
 
 7139 
 
 72x9 
 
 12 
 
 47 
 
 4569 
 
 4644 
 
 4718 
 
 4793 
 
 4867 
 
 4942 
 
 12 
 
 48 
 
 7299 
 
 7378 
 
 7458 
 
 7538 
 
 7617 
 
 7697 
 
 IX 
 
 48 
 
 5oi6 
 
 5091 
 
 5i65 
 
 5239 
 
 53x4 
 
 5388 II 
 
 49 
 
 7777 
 
 7856 
 
 7936 
 
 8oi5 
 
 8095 
 
 8174 
 
 10 
 
 49 
 
 5462 
 
 5537 
 
 56ix 
 
 5685 
 
 5760 
 
 5834:io 
 
 5o 
 
 9.408254 
 
 8333 
 
 84i3 
 
 8492 
 
 8572 
 
 865i 
 
 9 
 
 5o 
 
 9.435908 
 
 5982 
 
 6o56 
 
 6i3i 
 
 6205 
 
 6279 
 
 9 
 
 5i 
 
 8731 
 
 8810 
 
 8889 
 
 8969 
 
 9048 
 
 9127 
 
 8 
 
 5i 
 
 6353 
 
 6427 
 
 65o2 
 
 6576 
 
 665o 
 
 6724 
 
 8 
 
 52 
 
 9207 
 
 9286 
 
 9365 
 
 9445 
 
 9524 
 
 9603 
 
 7 
 
 52 
 
 6798 
 
 6872 
 
 6946 
 
 7020 
 
 7094 
 
 7x68; 7 
 
 53 
 
 9682 
 
 9762 
 
 9841 
 
 9920 
 
 9999 
 
 ..78 
 
 6 
 
 53 
 
 7242 
 
 73x6 
 
 7390 
 
 7464 
 
 7538 
 
 7612; 6 
 
 54 
 
 9.410157 
 
 0237 
 
 o3i6 
 
 oSgS 
 
 0474 
 
 o553 
 
 5 
 
 54 
 
 7686 
 
 7760 
 
 7834 
 
 7908 
 
 798X 
 
 8o55: 5 
 
 55 
 
 o632 
 
 071 1 
 
 0790 
 
 0869 
 
 0948 
 
 1027 
 
 4 
 
 55 
 
 8129 
 
 8203 
 
 8277 
 
 835i 
 
 B424 
 
 8498 4 
 
 56 
 
 1 1 06 
 
 ii85 
 
 1264 
 
 1343 
 
 1422 
 
 i5oo 
 
 3 
 
 56 
 
 8572 
 
 8646 
 
 8719 
 
 8793 
 
 3867 
 
 8941 
 
 3 
 
 57 
 
 1579 
 
 i658 
 
 1737 
 
 1816 
 
 1895 
 
 1973 
 
 2 
 
 57 
 
 90x4 
 
 9088 
 
 9x62 
 
 9235 
 
 9309 
 
 9882 2 
 
 58 
 
 2052 
 
 2l3l 
 
 2210 
 
 2288 
 
 2367 
 
 2446 
 
 I 
 
 58 
 
 9456 
 
 9530 
 
 9603 
 
 9677 
 
 9750 
 
 9824' I 
 
 59 
 
 2524 
 
 2603 
 
 2682 
 
 2760 
 
 2839 
 
 2918 
 
 
 
 59 
 
 9897 
 
 9971 
 
 ..44 
 
 .118 
 
 .191 
 
 .265i 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 1 SO" 
 
 10" 
 
 
 
 60' 50" 1 40" 1 SO" 
 
 20" 10" 
 
 g 
 
 Co-sine of 75 Degrees. 
 
 Co-sine of 74 Degrees. 
 
 i 
 
 P P.rf i 1" 2" 3" 4" 5" 6" 7" 8" 9"~ 
 r.rart-jg ^g ^^ gg ^^ ^^ ^^ g^ ^^ 
 
 P P«rf i 1" 2' 3" 4" 5" 6" 7" 8" 9" 1 
 r.rart^g 15 23 30 38 46 53 61 68 f 
 

 
 
 
 LoGAEITIIMIC ' 
 
 Iangents. 
 
 
 
 
 
 39 
 
 
 Tangent of 14 Degrees. 
 
 
 i 
 
 Tangent of 15 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 50" 
 
 0" 
 
 10" 
 
 20" 30" 1 40" 
 
 SO" 
 
 
 
 9.396771 
 
 e-nii 
 
 6950 
 
 7040 
 
 7i3o 
 
 7219 
 
 59 
 
 
 
 9.428052 
 
 8187 
 
 8221 83o5i8389 
 
 8473 
 
 59 
 
 I 
 
 7309 
 
 7399 
 
 7488 
 
 7578 
 
 7667 
 
 7757 
 
 58 
 
 I 
 
 8558 
 
 8642 
 
 8726 
 
 8810 
 
 8894 
 
 8978 
 
 58 
 
 2 
 
 7846 
 
 7936 
 
 8025 
 
 8ii5 
 
 8204 
 
 8294 
 
 57 
 
 
 
 9062 
 
 9146 
 
 9280 
 
 9814 
 
 9898 
 
 9482 
 
 57 
 
 3 
 
 8383 
 
 8472 
 
 8562 
 
 865i 
 
 8740 
 
 883o 
 
 56 
 
 3 
 
 9566 
 
 9650 
 
 9734 
 
 9818 
 
 9902 
 
 9986 
 
 56 
 
 4 
 
 8919 
 
 900819098 
 
 9187 
 
 9276 
 
 9365 
 
 55 
 
 4 
 
 9.430070 
 
 oi54 
 
 0287 
 
 0821 
 
 o4o5 
 
 0489 
 
 55 
 
 5 
 
 9455 
 
 9544 
 
 9633 
 
 9722 
 
 9811 
 
 9900 
 
 54 
 
 5 
 
 0573 
 
 0657 
 
 0740 
 
 0824 
 
 0908 
 
 0992 
 
 54 
 
 6 
 
 9990 
 
 ..79 
 
 .168 
 
 .257 
 
 .346 
 
 .435 
 
 53 
 
 6 
 
 1075 
 
 1 159 
 
 1243 
 
 1826 
 
 i4io 
 
 1494 
 
 53 
 
 7 
 
 9.400524 
 
 o6i3 
 
 0702 
 
 0791 
 
 0S80 
 
 0969 
 
 52 
 
 7 
 
 i577 
 
 1661 
 
 1745 
 
 1828 
 
 1912 
 
 1995 
 
 52 
 
 8 
 
 io58 
 
 ii47 
 
 1236 
 
 1325 
 
 i4i3 
 
 l5o2 
 
 5i 
 
 8 
 
 2079 
 
 2162 
 
 2246 
 
 2829 
 
 24i3 
 
 2496 
 
 5i 
 
 9 
 
 1591 
 
 1680 
 
 1769 
 
 i857 
 
 1946 
 
 2o35 
 
 5o 
 
 9 
 
 258o 
 
 2663 
 
 2747 
 
 2880 
 
 2914 
 
 2997 
 
 5o 
 
 10 
 
 9.402124 
 
 2212 23oi 
 
 2890 
 
 2478 
 
 2567 
 
 49 
 
 10 
 
 9.433080 
 
 3i64 
 
 8247 
 
 383i 
 
 84i4 
 
 3497 
 
 49 
 
 II 
 
 2656 
 
 2744'2833 
 
 2922 
 
 3oio 
 
 3099 
 
 48 
 
 II 
 
 358o 
 
 8664 
 
 3747 
 
 383o 
 
 8914 
 
 8997 
 
 48 
 
 12 
 
 3187 
 
 3276 3364 
 
 3453 
 
 3541 
 
 363o 
 
 47 
 
 12 
 
 4080 
 
 4i63 
 
 4246 
 
 433o 
 
 44i8 
 
 4496 
 
 47 
 
 i3 
 
 3718 
 
 3807 
 
 3895 
 
 3983 
 
 4072 
 
 4i6o 
 
 46 
 
 i3 
 
 4579 
 
 4662 
 
 4745 
 
 482S 
 
 4912 
 
 4995 
 
 46 
 
 i4 
 
 4249 
 
 4337 
 
 4425 
 
 45i4 
 
 46o2 
 
 4690 
 
 45 
 
 i4 
 
 5078 
 
 5i6i 
 
 5244 
 
 5327 
 
 5410 
 
 5493 
 
 45 
 
 i5 
 
 477S 
 
 4867 
 
 4955 
 
 5o43 
 
 5i3i 
 
 5219 
 
 44 
 
 i5 
 
 5576 
 
 5659 
 
 5742 
 
 5825 
 
 5907 
 
 5990 
 
 44 
 
 i6 
 
 53o8 
 
 5396 
 
 5484 
 
 5572 
 
 566o 
 
 5748 
 
 43 
 
 i6 
 
 6073 
 
 6i56 
 
 6289 
 
 6322 
 
 64o5 
 
 6488 
 
 43 
 
 I? 
 
 5836 
 
 5924 
 
 6012 
 
 6100 
 
 6188 
 
 6276 
 
 42 
 
 17 
 
 6570 
 
 6653 
 
 6786 
 
 6819 
 
 6901 
 
 6984 
 
 42 
 
 i8 
 
 6364 
 
 6452 
 
 654o 
 
 6628 
 
 6716 
 
 68o4 
 
 4i 
 
 18 
 
 7067 
 
 7i5o 
 
 7282 
 
 7815 
 
 7898 
 
 748o 
 
 4i 
 
 19 
 
 6892 
 
 6980 
 
 7068 
 
 7i55 
 
 7243 
 
 7331 
 
 4o 
 
 19 
 
 7563 
 
 7646 
 
 7728 
 
 7811 
 
 7894 
 
 7976 
 
 4o 
 
 20 
 
 9.407419 
 
 7507 
 
 7594 
 
 7682 
 
 7770 
 
 7858 
 
 39 
 
 20 
 
 9.438059 
 
 8i4i 
 
 8224 
 
 8806 
 
 8889 
 
 8471 
 
 89 
 
 21 
 
 7945 
 
 8o33 
 
 8l2I 
 
 8208 
 
 8296 
 
 8384 
 
 38 
 
 21 
 
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 8636 
 
 8719 
 
 8801 
 
 8884 
 
 8966 
 
 88 
 
 22 
 
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 8734 
 
 8821 
 
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 37 
 
 22 
 
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 9460 
 
 37 
 
 23 
 
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 9434 
 
 36 
 
 23 
 
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 9790 
 
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 36 
 
 24 
 
 9521 
 
 9609 9696 
 
 9783 
 
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 9958 
 
 35 
 
 24 
 
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 85 
 
 25 
 
 9.410045 
 
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 34 
 
 25 
 
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 32 
 
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 1596 
 
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 82 
 
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 25 
 
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 25 
 
 35 
 
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 543o 
 
 55i6 
 
 56o3 
 
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 36 
 
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 6086 
 
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 6880 
 
 28 
 
 37 
 
 6293 
 
 6379 
 
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 655i 
 
 6638 
 
 6724 
 
 22 
 
 37 
 
 64ii 
 
 6492 
 
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 6735 
 
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 22 
 
 38 
 
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 68966982 
 
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 7i54 
 
 7240 
 
 21 
 
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 21 
 
 39 
 
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 74i3 7499 
 
 7585 
 
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 7757 
 
 20 
 
 39 
 
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 7627 
 
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 7789 
 
 20 
 
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 9.417842 
 
 7928 8oi4 
 
 8100 
 
 8186 
 
 8272 
 
 19 
 
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 9.447870 
 
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 8o32 
 
 8118 
 
 8194 
 
 8275 
 
 19 
 
 4i 
 
 8358 
 
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 8616 
 
 8701 
 
 8787 
 
 18 
 
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 8437 
 
 85i8 
 
 8599 
 
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 18 
 
 42 
 
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 45 
 
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 2207 
 
 2292 
 
 2878 
 
 1 1 
 
 48 
 
 1743 
 
 1828 
 
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 2064 
 
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 49 
 
 2463 
 
 2548i2633 
 
 2718 
 
 2803 
 
 2888 
 
 10 
 
 49 
 
 2225 
 
 23o5 
 
 2885 
 
 2465 
 
 2546 
 
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 10 
 
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 9.422974 
 
 3o59 3i44 
 
 3229 
 
 33 1 4 
 
 3399 
 
 9 
 
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 9.452706 
 
 2786 
 
 2867 
 
 2947 
 
 8027 
 
 8107 
 
 9 
 
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 3484 
 
 35693654 
 
 3739 
 
 3824 
 
 3909 
 
 8 
 
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 3187 
 
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 3847 
 
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 b 
 
 52 
 
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 4842 
 
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 43o8 
 
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 54 
 
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 5096 5i8i 
 
 5265 
 
 535o 
 
 5435 
 
 5 
 
 !54 
 
 4628 
 
 4708 
 
 4787 
 
 4867 
 
 4947 
 
 5027 
 
 5 
 
 55 
 
 5519 
 
 56o4 5689 
 
 5773 
 
 5858 
 
 5942 
 
 4 
 
 55 
 
 5i07 
 
 5187 
 
 5267 
 
 5346 
 
 5426 
 
 55o6 
 
 4 
 
 56 
 
 6027 
 
 6112 
 
 6196 
 
 6281 
 
 6365 
 
 645o 
 
 3 
 
 56 
 
 5586 
 
 5655 
 
 5745 
 
 5825 
 
 5905 
 
 5984 
 
 3 
 
 57 
 
 6534 
 
 6619 
 
 6703 
 
 6788 
 
 6872 
 
 6956 
 
 2 
 
 57 
 
 6064 
 
 6i44 
 
 6228 
 
 63o8 
 
 6388 
 
 6462 
 
 2 
 
 58 
 
 7041 
 
 7125 
 
 7210 
 
 7294 
 
 7378 
 
 7463 
 
 I 
 
 58 
 
 6542 
 
 6622 
 
 6701 
 
 6781 
 
 6860 
 
 6940 
 
 I 
 
 59 
 
 7547 
 
 763i 
 
 77i5 
 
 7800 
 
 7B84 
 
 7968 
 
 
 
 59 
 
 7019 
 
 7099 
 
 7178 
 
 7258 
 
 7887 
 
 7417 
 
 
 
 
 60" 
 
 50" 
 
 1 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 1 SO- 
 
 W" 
 
 ii 
 
 Co-tangent of 75 Degrees. 
 
 Co-tangent of 74 Degrees. 
 
 P. 
 
 p, . j 1" 3" 3" 4" 5" 6" 7" 8" 9" 
 "^^ (9 17 26 35 43 52 61 69 78 
 
 p „ J 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 P. Part j g jg 25 33 41 49 57 65 74 
 
40 
 
 
 
 
 LOGA KITH MIC SiNES. 
 
 
 
 
 
 
 
 Sine of 16 Degrees. 
 
 
 
 Sine of 17 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
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 59 
 
 
 
 9.465935 
 
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 621 I 
 
 6280 
 
 59 
 
 1 
 
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 o852 
 
 0925 
 
 0998 
 
 1072 
 
 ii45 
 
 58 
 
 I 
 
 6348 
 
 6417 
 
 6486 
 
 6555 
 
 6623 
 
 6692 
 
 58 
 
 2 
 
 1218 
 
 [292 
 
 i365 
 
 i438 
 
 i5i I 
 
 1 584 
 
 ^7 
 
 2 
 
 6761 
 
 683o 
 
 6898 
 
 6967 
 
 7o36 
 
 7104 
 
 57 
 
 3 
 
 i658 
 
 1731 
 
 i8o4 
 
 1877 
 
 igSo 
 
 2023 
 
 56 
 
 3 
 
 7173 
 
 7242 
 
 7310 
 
 7379 
 
 7448 
 
 75i6 
 
 56 
 
 4 
 
 2096 
 
 2170 
 
 2243 
 
 23i6 
 
 2389 
 
 2462 
 
 55 
 
 4 
 
 7585 
 
 7653 
 
 7722 
 
 7790 
 
 7859 
 
 7928 
 
 55 
 
 5 
 
 2535 
 
 2608 
 
 2681 
 
 2754 
 
 2827 
 
 2900 
 
 54 
 
 5 
 
 7996 
 
 8o65 
 
 8 1 33 
 
 8202 
 
 8270 
 
 8338 
 
 54 
 
 6 
 
 2973 
 
 3o46 
 
 3119 
 
 3ig2 
 
 3265 
 
 3337 
 
 53 
 
 6 
 
 8407 
 
 8475 
 
 8544 
 
 8612 
 
 8681 
 
 8749 
 
 53 
 
 7 
 
 3410 
 
 3483 
 
 3556 
 
 3629 
 
 3702 
 
 3774 
 
 52 
 
 7 
 
 8817 
 
 8886 
 
 8954 
 
 9022 
 
 9091 
 
 9159 
 
 52 
 
 8 
 
 3847 
 
 3920 
 
 3993 
 
 4o66 
 
 4i38 
 
 421 I 
 
 5i 
 
 8 
 
 9227 
 
 9296 
 
 9364 
 
 9432 
 
 9500 
 
 9569 
 
 5i 
 
 9 
 
 4284 
 
 4356 
 
 4429 
 
 45o2 
 
 4574 
 
 4647 
 
 5o 
 
 9 
 
 9637 
 
 9705 
 
 9773 
 
 9842 
 
 9910 
 
 9978 
 
 5o 
 
 10 
 
 9.444720 
 
 4792 
 
 4865 
 
 4938 
 
 5oio 
 
 5o83 
 
 49 
 
 10 
 
 9.470046 
 
 01 14 
 
 0182 
 
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 o3i9 
 
 0387 
 
 49 
 
 II 
 
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 5228 
 
 53oo 
 
 5373 
 
 5445 
 
 55i8 
 
 48 
 
 1 1 
 
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 o523 
 
 0591 
 
 0659 
 
 0727 
 
 0795 
 
 48 
 
 12 
 
 5590 
 
 5663 
 
 5735 
 
 58o8 
 
 588o 
 
 5953 
 
 47 
 
 12 
 
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 0931 
 
 0999 
 
 1067 
 
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 I2o3 
 
 47 
 
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 6025 
 
 6097 
 
 6170 
 
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 63i4 
 
 6387 
 
 46 
 
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 1271 
 
 1339 
 
 i4o7 
 
 1475 
 
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 161 1 
 
 46 
 
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 6459 
 
 653i 
 
 66o4 
 
 6676 
 
 6748 
 
 6820 
 
 45 
 
 i4 
 
 1679 
 
 1746 
 
 i8i4 
 
 1882 
 
 1950 
 
 2018 
 
 45 
 
 i5 
 
 6893 
 
 6965 
 
 7037 
 
 7109 
 
 7182 
 
 7254 
 
 44 
 
 i5 
 
 2086 
 
 2i53 
 
 2221 
 
 2289 
 
 2357 
 
 2424 
 
 44 
 
 i6 
 
 7326 
 
 7398 
 
 7470 
 
 7542 
 
 7614 
 
 7687 
 
 43 
 
 16 
 
 2492 
 
 256o 
 
 2628 
 
 2695 
 
 2763 
 
 283i 
 
 43 
 
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 7759 
 
 783i 
 
 7903 
 
 7975 
 
 So47 
 
 8119 
 
 42 
 
 17 
 
 2898 
 
 2966 
 
 3o34 
 
 3ioi 
 
 3169 
 
 3237 
 
 42 
 
 i8 
 
 8191 
 
 8263 
 
 8335 
 
 8407 
 
 8479 
 
 855i 
 
 4i 
 
 18 
 
 33o4 
 
 3372 
 
 3439 
 
 3507 
 
 3575 
 
 3642 
 
 4i 
 
 19 
 
 8623 
 
 8695 
 
 8767 
 
 8838 
 
 8910 
 
 8982 
 
 4o 
 
 19 
 
 3710 
 
 3777 
 
 3845 
 
 3912 
 
 3980 
 
 4o47 
 
 4o 
 
 20 
 
 9.449054 
 
 9126 
 
 9198 
 
 9269 
 
 9341 
 
 94i3 
 
 39 
 
 20 
 
 9.474115 
 
 4182 
 
 425o 
 
 4317 
 
 4384 
 
 4452 
 
 39 
 
 21 
 
 9485 
 
 9557 
 
 9628 
 
 9700 
 
 9772 
 
 9844 
 
 38 
 
 21 
 
 4519 
 
 4587 
 
 4654 
 
 4721 
 
 4789 
 
 4856 
 
 38 
 
 22 
 
 9915 
 
 9987 
 
 ..59 
 
 .i3o 
 
 . 202 
 
 .274 
 
 37 
 
 22 
 
 4923 
 
 499' 
 
 5o5& 
 
 5i25 
 
 5193 
 
 5260 
 
 37 
 
 23 
 
 9.450345 
 
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 o632 
 
 0703 
 
 36 
 
 23 
 
 5327 
 
 5394 
 
 5462 
 
 5529 
 
 5596 
 
 5663 
 
 36 
 
 24 
 
 0775 
 
 o846 
 
 0918 
 
 0989 
 
 1061 
 
 Il32 
 
 35 
 
 24 
 
 5730 
 
 5798 
 
 5865 
 
 5932 
 
 5999 
 
 6066 
 
 35 
 
 25 
 
 1204 
 
 1275 
 
 1 347 
 
 i4i8 
 
 1489 
 
 i56i 
 
 34 
 
 25 
 
 6i33 
 
 6200 
 
 6268 
 
 6335 
 
 64o2 
 
 6469 
 
 34 
 
 26 
 
 i632 
 
 1704 
 
 1775 
 
 i846 
 
 1918 
 
 1989 
 
 33 
 
 26 
 
 6536 
 
 66o3 
 
 6670 
 
 6737 
 
 6804 
 
 6871 
 
 33 
 
 27 
 
 2060 
 
 2 1 32 
 
 22o3 
 
 2274 
 
 2345 
 
 2417 
 
 32 
 
 27 
 
 6938 
 
 7005 
 
 7072 
 
 7139 
 
 7206 
 
 7273 
 
 32 
 
 28 
 
 2488 
 
 2559 
 
 263o 
 
 2702 
 
 2773 
 
 2844 
 
 3i 
 
 28 
 
 7340 
 
 7407 
 
 7473 
 
 7540 
 
 7607 
 
 7674 
 
 3i 
 
 29 
 
 2915 
 
 2986 
 
 3o57 
 
 3129 
 
 3200 
 
 3271 
 
 3o 
 
 29 
 
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 7808 
 
 7875 
 
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 8008 
 
 8075 
 
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 9.453342 
 
 34i3 
 
 3484 
 
 3555 
 
 3626 
 
 3697 
 
 29 
 
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 9.478142 
 
 8209 
 
 8275 
 
 8342 
 
 8409 
 
 8476 
 
 29 
 
 3i 
 
 376S 
 
 3839 
 
 3910 
 
 3981 
 
 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 
 
 9675 
 
 26 
 
 34 
 
 5o44 
 
 5ii5 
 
 5i86 
 
 5256 
 
 5327 
 
 5398 
 
 25 
 
 34 
 
 9741 
 
 9808 
 
 9874 
 
 9941 
 
 ...7 
 
 ..74 
 
 25 
 
 35 
 
 5469 
 
 5539 
 
 56io 
 
 568i 
 
 5751 
 
 5822 
 
 24 
 
 35 
 
 9.480140 
 
 0207 
 
 0273 
 
 0339 
 
 o4o6 
 
 0472 
 
 24 
 
 36 
 
 5893 
 
 5963 
 
 6o34 
 
 6io4 
 
 6175 
 
 6246 
 
 23 
 
 36 
 
 0539 
 
 o6o5 
 
 0671 
 
 0738 
 
 0804 
 
 0870 
 
 23 
 
 37 
 
 63i6 
 
 6387 
 
 6457 
 
 6528 
 
 6598 
 
 6669 
 
 22 
 
 37 
 
 0937 
 
 ioo3 
 
 1069 
 
 ii35 
 
 1202 
 
 1268 
 
 22 
 
 38 
 
 6739 
 
 6810 
 
 6880 
 
 6951 
 
 7021 
 
 7091 
 
 21 
 
 38 
 
 i334 
 
 i4oo 
 
 1467 
 
 i533 
 
 1599 
 
 i665 
 
 21 
 
 39 
 
 7162 
 
 7232 
 
 73o3 
 
 7373 
 
 7443 
 
 75i4 
 
 20 
 
 39 
 
 1731 
 
 1798 
 
 i864 
 
 1930 
 
 1996 
 
 2062 
 
 20 
 
 4o 
 
 9.457584 
 
 7654 
 
 7725 
 
 7795 
 
 7865 
 
 7936 
 
 19 
 
 40 
 
 9.482128 
 
 2194 
 
 2261 
 
 2327 
 
 2393 
 
 2459 
 
 19 
 
 4i 
 
 8006 
 
 8076 
 
 8i46 
 
 8217 
 
 8287 
 
 8357 
 
 18 
 
 4i 
 
 2525 
 
 2591 
 
 2657 
 
 2723 
 
 2789 
 
 2855 
 
 x8 
 
 42 
 
 8427 
 
 8497 
 
 8567 
 
 8638 
 
 8708 
 
 8778 
 
 '7 
 
 42 
 
 2921 
 
 2987 
 
 3o53 
 
 3119 
 
 3i85 
 
 325i 
 
 17 
 
 43 
 
 8848 
 
 8918 
 
 8988 
 
 9o58 
 
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 9198 
 
 16 
 
 43 
 
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 35i4 
 
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 16 
 
 44 
 
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 9618 
 
 i5 
 
 44 
 
 3712 
 
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 3843 
 
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 45 
 
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 9828 
 
 9898 
 
 9968 
 
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 i4 
 
 45 
 
 4107 
 
 4172 
 
 4238 
 
 43o4 
 
 4370 
 
 4435 
 
 i4 
 
 46 
 
 9.460108 
 
 0178 
 
 0248 
 
 o3i7 
 
 0387 
 
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 i3 
 
 46 
 
 45oi 
 
 4567 
 
 4632 
 
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 4764 
 
 4829 
 
 x3 
 
 47 
 
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 0667 
 
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 0876 
 
 12 
 
 47 
 
 4895 
 
 4961 
 
 5o26 
 
 5092 
 
 5i58 
 
 5223 
 
 12 
 
 48 
 
 0946 
 
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 ii55 
 
 1224 
 
 1294 
 
 1 1 
 
 48 
 
 5289 
 
 5354 
 
 5420 
 
 5485 
 
 555i 
 
 56x7 
 
 1 1 
 
 49 
 
 1 364 
 
 1433 
 
 i5o3 
 
 1573 
 
 1642 
 
 1712 
 
 ro 
 
 49 
 
 5682 
 
 5748 
 
 58i3 
 
 5879 
 
 5944 
 
 6009 
 
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 9.461782 
 
 i85i 
 
 1 92 1 
 
 1990 
 
 2060 
 
 2129 
 
 9 
 
 5o 
 
 9.486075 
 
 6i4o 
 
 6206 
 
 6271 
 
 6337 
 
 64o2 
 
 9 
 
 5i 
 
 2199 
 
 2268 
 
 2338 
 
 2407 
 
 2477 
 
 2546 
 
 8 
 
 5i 
 
 6467 
 
 6533 
 
 6598 
 
 6664 
 
 6729 
 
 6794 
 
 8 
 
 52 
 
 2616 
 
 2685 
 
 2755 
 
 2824 
 
 2894 
 
 2963 
 
 7 
 
 52 
 
 6860 
 
 6925 
 
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 7o55 
 
 7121 
 
 71SC 
 
 7 
 
 53 
 
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 3171 
 
 324o 
 
 33io 
 
 3379 
 
 6 
 
 53 
 
 725i 
 
 7316 
 
 7382 
 
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 75i2 
 
 7577 
 
 6 
 
 54 
 
 3448 
 
 35i8 
 
 3587 
 
 3656 
 
 3725 
 
 3795 
 
 5 
 
 54 
 
 7643 
 
 7708 
 
 7773 
 
 7838 
 
 7903 
 
 7968 
 
 5 
 
 55 
 
 3864 
 
 3933 
 
 4o02 
 
 4072 
 
 4i4i 
 
 4210 
 
 4 
 
 55 
 
 8o34 
 
 8099 
 
 8i64 
 
 8229 
 
 8294 
 
 8359 
 
 4 
 
 56 
 
 4279 
 
 4348 
 
 4417 
 
 4486 
 
 4556 
 
 4625 
 
 3 
 
 56 
 
 8424 
 
 8489 
 
 8554 
 
 8619 
 
 8684 
 
 8749 
 
 3 
 
 57 
 
 4694 
 
 4763 
 
 4832 
 
 4901 
 
 4970 
 
 5o39 
 
 2 
 
 57 
 
 88i4 
 
 8879 
 
 8944 
 
 9009 
 
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 9139 
 
 2 
 
 58 
 
 5io8 
 
 5x77 
 
 5246 
 
 53i5 
 
 5384 
 
 5453 
 
 I 
 
 58 
 
 9204 
 
 9269 
 
 9334 
 
 9399 
 
 9464 
 
 9528 
 
 I 
 
 59 
 
 5522 
 
 55gi 
 
 566o 
 
 5729 
 
 5798 
 
 5866 
 
 
 
 59 
 
 9593 
 
 9658 
 
 9723 
 
 9788 
 
 9853 
 
 99x^8 
 
 
 
 
 60" 1 50" 1 40" 
 
 30" 
 
 20" 
 
 10" 
 
 c 
 
 
 60" 1 50" 1 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 Co-sine of 73 Degrees. 
 
 Co-sine of 72 Degrees. 
 
 P. 
 
 p . j 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 ^^" ( 7 14 21 28 36 43 50 57 64 
 
 P p„. i 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 j.rart-^^ 13 20 27 33 40 47 53 60 
 

 
 
 
 Logarithmic Tangents. 
 
 
 
 
 
 41 
 
 
 Tangent of 16 Degrees. 
 
 
 S 
 
 Tangent of 17 Degrees. 
 
 59 
 
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 10" 
 
 20" 
 
 30" 
 
 40" 
 
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 10" 
 
 20" 
 
 30" 
 
 40" 
 
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 9.457496 
 
 7576 
 
 7655 
 
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 7814 
 
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 59 
 
 
 
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 8211 
 
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 60x6 
 
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 58 
 
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 57 
 
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 63x7 
 
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 66x8 
 
 57 
 
 3 
 
 8925 
 
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 56 
 
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 75x8 
 
 55 
 
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 54 
 
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 49 
 
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 48 
 
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 3579 
 
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 X 106 
 
 47 
 
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 46 
 
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 46 
 
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 4128 
 
 4207 
 
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 45 
 
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 1627 
 
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 45 
 
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 44 
 
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 2296 
 
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 2445 
 
 44 
 
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 5069 
 
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 5382 
 
 5460 
 
 43 
 
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 25i9 
 
 2593 
 
 2668 
 
 2742 
 
 28x6 
 
 2890 
 
 43 
 
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 5539 
 
 56i7 
 
 56g5 
 
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 585i 
 
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 42 
 
 17 
 
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 3ii3 
 
 3187 
 
 3261 
 
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 42 
 
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 6008 
 
 6086 
 
 6i64 
 
 6242 
 
 6320 
 
 6398 
 
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 3484 
 
 3558 
 
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 3706 
 
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 6633 
 
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 6789 
 
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 4225 
 
 40 
 
 20 
 
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 7023 
 
 7101 
 
 7179 
 
 7257 
 
 7335 
 
 39 
 
 20 
 
 9.494299 
 
 4373 
 
 4447 
 
 4521 
 
 4595 
 
 4669 
 
 39 
 
 21 
 
 74i3 
 
 7491 
 
 756g 
 
 7647 
 
 7724 
 
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 38 
 
 21 
 
 4743 
 
 48x7 
 
 48gi 
 
 4965 
 
 5o3g 
 
 5ii3 
 
 38 
 
 22 
 
 7880 
 
 7958 
 
 8o36 
 
 8ii4 
 
 8192 
 
 8269 
 
 37 
 
 22 
 
 5x86 
 
 5260 
 
 5334 
 
 5408 
 
 5482 
 
 5556 
 
 37 
 
 23 
 
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 8736 
 
 36 
 
 23 
 
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 24 
 
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 35 
 
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 35 
 
 25 
 
 9280 
 
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 9668 
 
 34 
 
 25 
 
 65x5 
 
 658g 
 
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 6736 
 
 68x0 
 
 6884 
 
 34 
 
 26 
 
 9746 
 
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 9979 
 
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 33 
 
 26 
 
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 7252 
 
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 33 
 
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 32 
 
 27 
 
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 7546 
 
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 28 
 
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 28 
 
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 29 
 
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 8869 
 
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 29 
 
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 28 
 
 32 
 
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 27 
 
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 9749 
 
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 27 
 
 33 
 
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 33o3 
 
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 3688 
 
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 25 
 
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 35 
 
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 4227 
 
 43o4 
 
 24 
 
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 12X3 
 
 1286 
 
 24 
 
 36 
 
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 4458 
 
 4535 
 
 4612 
 
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 23 
 
 36 
 
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 1578 
 
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 1724 
 
 23 
 
 37 
 
 4842 
 
 4919 
 
 4996 
 
 5073 
 
 5i49 
 
 5226 
 
 22 
 
 37 
 
 1797 
 
 1870 
 
 1943 
 
 20X6 
 
 2089 
 
 2162 
 
 22 
 
 38 
 
 53o3 
 
 538o 
 
 5456 
 
 5533 
 
 56io 
 
 5687 
 
 21 
 
 38 
 
 2235 
 
 23o8 
 
 238x 
 
 2453 
 
 2526 
 
 25g9 
 
 21 
 
 39 
 
 5763 
 
 584o 
 
 5gi7 
 
 5993 
 
 6070 
 
 6x47 
 
 20 
 
 39 
 
 2672 
 
 2745 
 
 28x8 
 
 2891 
 
 2964 
 
 3o36 
 
 20 
 
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 9.476223 
 
 63oo 
 
 6377 
 
 6453 
 
 653o 
 
 6606 
 
 19 
 
 4o 
 
 9.5o3iog 
 
 3182 
 
 3255 
 
 3328 
 
 3400 
 
 3473 
 
 19 
 
 4i 
 
 6683 
 
 6759 
 
 6836 
 
 6913 
 
 6989 
 
 7066 
 
 18 
 
 4i 
 
 3546 
 
 36ig 
 
 36gx 
 
 3764 
 
 3837 
 
 3910 
 
 18 
 
 42 
 
 7142 
 
 7219 
 
 72g5 
 
 7372 
 
 7448 
 
 7524 
 
 17 
 
 42 
 
 3982 
 
 4o55 
 
 4X28 
 
 4200 
 
 4273 
 
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 17 
 
 43 
 
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 16 
 
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 16 
 
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 44 
 
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 5217 
 
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 45 
 
 85i7 
 
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 8746 
 
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 45 
 
 5289 
 
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 5434 
 
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 5579 
 
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 46 
 
 8975 
 
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 46 
 
 6724 
 
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 5869 
 
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 6086 
 
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 47 
 
 9432 
 
 9508 
 
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 9737 
 
 9813 
 
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 623i 
 
 63o3 
 
 6376 
 
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 48 
 
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 .117 
 
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 48 
 
 65g3 
 
 6665 
 
 6737 
 
 68x0 
 
 6882 
 
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 49 
 
 9.480345 
 
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 0497 
 
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 49 
 
 7027 
 
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 7243 
 
 7316 
 
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 9.480801 
 
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 1181 
 
 9 
 
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 7605 
 
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 7749 
 
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 1257 
 
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 i484 
 
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 7893 
 
 7965 
 
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 81x0 
 
 8182 
 
 8254 
 
 8 
 
 52 
 
 1712 
 
 1788 
 
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 1939 
 
 20l5 
 
 2091 
 
 7 
 
 52 
 
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 83g8 
 
 8470 
 
 8542 
 
 86x4 
 
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 7 
 
 53 
 
 2167 
 
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 23i8 
 
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 2470 
 
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 6 
 
 53 
 
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 8903 
 
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 6 
 
 54 
 
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 2697 
 
 2772 
 
 2848 
 
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 54 
 
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 947919551 
 
 5 
 
 55 
 
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 3226 
 
 33o2 
 
 3377 
 
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 4 
 
 55 
 
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 g6g4 
 
 g766 
 
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 56 
 
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 4359 
 
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 57 
 
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 58 
 
 4435 
 
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 466i 
 
 4736 
 
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 58 
 
 0916 0987 
 
 1059 
 
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 59 
 
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 5x88 5264 
 
 
 
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 1704 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 1 30" 
 
 20" 10" 
 
 - c 
 
 1 
 
 60" 50" 
 
 40" 
 
 30" 20" 
 
 10" 
 
 c 
 
 Co-tangent of 73 Degrees. 
 
 Co-tangent of 72 Degrees. 
 
 P Part ^ 1" ^" ^" 4" 5" 6" 7" 8" 9" 
 *^- ^ ^"^ ] 8 15 23 31 39 46 54 63 70 
 
 „ „ A I" 2" 3" 4" 5" 6" 7" 8" 9" 
 P. Part -j^ 15 22 29 37 44 51 59 66 
 
42 
 
 Logarithmic Sines. 
 
 
 Sine of 18 Degrees. 
 
 
 .5 
 
 Sine of 19 Degrees. 
 
 
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 10' 
 
 20" 
 
 30" 
 
 40' 7 50" 
 
 0" 
 
 10" 
 
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 30' 
 
 40" 
 
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 59 
 
 
 
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 2703 
 
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 2886 
 
 294b 
 
 59 
 
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 9.490371 
 
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 o5oo 
 
 o565 
 
 o63o 0695 
 
 58 
 
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 3009 
 
 3070 
 
 3i3i 
 
 3192 
 
 3253 
 
 33x4 
 
 58 
 
 2 
 
 0759 
 
 0824 
 
 0889 
 
 0953 
 
 1018x082 
 
 57 
 
 2 
 
 33753436 
 
 3497 
 
 3558 
 
 3619 
 
 368o 
 
 57 
 
 3 
 
 ii47 
 
 1212 
 
 1276 
 
 i34i 
 
 i4o5 1470 
 
 56 
 
 3 
 
 374x 
 
 38o2 
 
 3863 
 
 3924 
 
 3985 
 
 4o46 
 
 56 
 
 4 
 
 i535 
 
 1599 
 
 1664 
 
 X728 
 
 1793 1857 
 
 55 
 
 4 
 
 4107 
 
 4x68 
 
 4229 
 
 4289 
 
 435o 
 
 44x1 
 
 55 ' 
 
 5 
 
 1922 
 
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 205l 
 
 2Xl5 
 
 217912244 
 
 54 
 
 5 
 
 4472 
 
 4533 
 
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 4655 
 
 4715 
 
 4776 
 
 54 
 
 6 
 
 23o8 
 
 2373 
 
 2437 
 
 25o2 
 
 2566 2630 
 
 53 
 
 6 
 
 4837 
 
 4898 
 
 4959 
 
 5019 
 
 5o8o 
 
 5i4x 
 
 53 
 
 7 
 
 2695 
 
 2759 
 
 2823 
 
 2888 
 
 2952 3oi6 
 
 52 
 
 7 
 
 5202 
 
 5262 
 
 5323 
 
 5384 5445 
 
 55o5 
 
 52 
 
 8 
 
 3o8i 
 
 3i45 
 
 3209 
 
 3273 
 
 3338|34o2 
 
 5i 
 
 8 
 
 5566 
 
 5627 
 
 5687 
 
 5748 
 
 5809 
 
 5869 
 
 5i 
 
 9 
 
 3466 
 
 353o 
 
 3595 
 
 3659 
 
 3723 
 
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 9 
 
 5930 
 
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 6x12 
 
 6x72 
 
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 49 
 
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 6475 
 
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 49 
 
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 4364 
 
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 48 
 
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 6838 
 
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 48 
 
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 7201 
 
 7262 
 
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 47 
 
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 5260 
 
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 46 
 
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 44 
 
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 8x07 
 
 8167 
 
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 84o8 
 
 44 
 
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 43 
 
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 43 
 
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 6537 
 
 6601 
 
 6664 
 
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 42 
 
 17 
 
 8829 
 
 8890 
 
 8950 
 
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 9070 
 
 9i3o 
 
 42 
 
 i8 
 
 6919 
 
 6983 
 
 7047 
 
 7x10 
 
 7174 
 
 7237 
 
 4i 
 
 18 
 
 9190 
 
 925o 
 
 93ii 
 
 9371 
 
 9431 
 
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 19 
 
 7301 
 
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 76x9 
 
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 19 
 
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 20 
 
 9.497682 
 
 7746 
 
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 7873 
 
 7937 8000 
 
 39 
 
 20 
 
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 9971 
 
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 .211 
 
 39 
 
 21 
 
 8064 
 
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 83x78381 
 
 38 
 
 21 
 
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 0571 
 
 38 
 
 22 
 
 8444 
 
 85o8 
 
 8571 
 
 8634 
 
 8698 8761 
 
 37 
 
 22 
 
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 0691 
 
 0750 
 
 08x0 
 
 0870 
 
 0930 
 
 37 
 
 23 
 
 8825 
 
 8888 
 
 8951 
 
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 9078I914X 
 
 36 
 
 23 
 
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 X 169 
 
 1229 
 
 1289 
 
 36 
 
 24 
 
 9204 
 
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 35 
 
 24 
 
 1349 
 
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 1648 
 
 35 
 
 25 
 
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 9837 9900 
 
 34 
 
 25 
 
 1707 
 
 1767 
 
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 1887 
 
 1946 
 
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 34 
 
 26 
 
 9963 
 
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 33 
 
 26 
 
 2066 
 
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 2i85 
 
 2245 
 
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 2364 
 
 33 
 
 27 
 
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 32 
 
 27 
 
 2424 
 
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 32 
 
 28 
 
 0721 
 
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 28 
 
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 29 
 
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 1917 
 
 1980 
 
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 2168 
 
 28 
 
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 3852 
 
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 3971 
 
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 28 
 
 32 
 
 223l 
 
 2294 
 
 2356 
 
 24x9 
 
 2482 
 
 2545 
 
 27 
 
 32 
 
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 33 
 
 2607 
 
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 26 
 
 33 
 
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 4860 
 
 26 
 
 34 
 
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 3172 
 
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 25 
 
 34 
 
 4920 
 
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 52x6 
 
 25 
 
 35 
 
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 36x0 
 
 3673 
 
 24 
 
 35 
 
 5275 
 
 5334 
 
 5393 
 
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 55i2 
 
 5571 
 
 24 
 
 36 
 
 3735 
 
 3798 
 
 386o 
 
 3923 
 
 3985 
 
 4o48 
 
 23 
 
 36 
 
 563o 
 
 5689 
 
 5748 
 
 5807 
 
 5866 
 
 5925 
 
 23 
 
 37 
 
 4iio 
 
 4173 
 
 4235 
 
 4298 
 
 436o 
 
 4423 
 
 22 
 
 37 
 
 5984 
 
 6044 
 
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 6x62 
 
 6221 
 
 6280 
 
 22 
 
 38 
 
 4485 
 
 454s 
 
 4610 
 
 4673 
 
 4735 
 
 4797 
 
 21 
 
 38 
 
 6339 
 
 6398 
 
 6457 
 
 65x6 
 
 6575 
 
 6634 
 
 21 
 
 39 
 
 486o 
 
 4922 
 
 4985 
 
 5o47 
 
 5x09 
 
 5172 
 
 20 
 
 39 
 
 6693 
 
 6752 
 
 681X 
 
 6870 
 
 6928 
 
 6987 
 
 20 
 
 4o 
 
 9.5o5234 
 
 5296 
 
 5359 
 
 5421 
 
 5483 5545! 
 
 19 
 
 40 
 
 9. 527046 
 
 7io5 
 
 7164 
 
 72iz3 
 
 7282 
 
 7341 
 
 19 
 
 4i 
 
 56o8 
 
 5670 
 
 5732 
 
 5794 
 
 5857 
 
 59x9 
 
 18 
 
 4i 
 
 7400 
 
 7459 
 
 7517 
 
 7576 
 
 7635 
 
 7694 
 
 x8 
 
 42 
 
 5981 
 
 6043 
 
 6x06 
 
 6168 
 
 623o 
 
 6292 
 
 17 
 
 42 
 
 7753 
 
 781X 
 
 7870 
 
 7929 
 
 7988 
 
 8047 
 
 17 
 
 43 
 
 6354 
 
 64x6 
 
 6478 
 
 654x 
 
 66o3 
 
 6665 
 
 x6 
 
 43 
 
 8io5 
 
 8x64 
 
 8223 
 
 8282 
 
 834o 
 
 8399 
 
 x6 
 
 44 
 
 6727 
 
 6789 
 
 685x 
 
 6913 
 
 6975 
 
 7037 
 
 x5 
 
 44 
 
 8458 
 
 85x6 
 
 8575 
 
 8634 
 
 8692 
 
 8751 
 
 i5 
 
 45 
 
 7099 
 
 7161 
 
 7223 
 
 7285 
 
 7347 
 
 7409 
 
 i4 
 
 45 
 
 8810 
 
 8868 
 
 8927 
 
 8986 
 
 9044 
 
 9io3 
 
 x4 
 
 46 
 
 7471 
 
 7533 
 
 7595 
 
 7657 
 
 7719 
 
 7781 
 
 i3 
 
 46 
 
 9161 
 
 9220 
 
 9279 
 
 9337 
 
 9396 9454 
 
 x3 
 
 47 
 
 7843 
 
 7905 
 
 7967 
 
 8028 
 
 8090 8x52 
 
 12 
 
 47 
 
 95i3 
 
 957X 
 
 9630 
 
 9688 
 
 9747 9805 
 
 12 
 
 48 
 
 8214 
 
 8276 
 
 8338 
 
 84oo 
 
 846i 8523 
 
 11 
 
 48 
 
 9864 
 
 9922 
 
 9981 
 
 ..39 
 
 . .98 .x56 
 
 II 
 
 49 
 
 8585 
 
 8647 
 
 8709 
 
 8770 
 
 88328894 
 
 10 
 
 49 
 
 9.53o2i5 
 
 0273 
 
 o33i 
 
 0390 
 
 o448 o5o7 
 
 10 
 
 5o 
 
 9.508956 
 
 9017 
 
 9079 
 
 9i4x 
 
 9202,9264 
 
 9 
 
 5o 
 
 9.53o565 
 
 0623 
 
 0682 
 
 0740 
 
 0798I0857 
 
 9 
 
 5i 
 
 9326 
 
 9387 
 
 9449 
 
 95ix 
 
 9572 9634 
 
 8 
 
 5i 
 
 0915 
 
 0973 
 
 xo32 
 
 X090 
 
 xi48 
 
 1207 
 
 8 
 
 52 
 
 9696 
 
 9757 
 
 9819 
 
 9880 
 
 9942 
 
 ...4 
 
 7 
 
 52 
 
 1265 
 
 i323 
 
 x38i 
 
 x44o 
 
 1498 
 
 i556 
 
 7 
 
 53 
 
 9.5ioo65 
 
 0127 
 
 0188 
 
 025o 
 
 o3xi 
 
 0373 
 
 6 
 
 53 
 
 i6i4 
 
 1673 
 
 1731 
 
 1789 
 
 x847 
 
 X905 
 
 6 
 
 54 
 
 0434 
 
 0496 
 
 0557 
 
 06x9 
 
 0680 0742 
 
 5 
 
 54 
 
 1963 
 
 2022 
 
 2080 
 
 21 38 
 
 2196 
 
 2254 
 
 5 
 
 55 
 
 o8o3 
 
 o865 
 
 0926 
 
 0987 
 
 1049 
 
 II 10 
 
 4 
 
 55 
 
 23l2 
 
 2370 
 
 2428 
 
 2487 
 
 2545 
 
 2603 
 
 4 
 
 56 
 
 1172 
 
 1233 
 
 1294 
 
 i356 
 
 14x7 
 
 1478 
 
 3 
 
 56 
 
 2661 
 
 27x9 
 
 2777 
 
 2835 
 
 2893 
 
 2951 
 
 3 
 
 57 
 
 1 540 
 
 1601 
 
 X662 
 
 1724 
 
 1785 
 
 1 846 
 
 2 
 
 57 
 
 3009 
 
 3067 
 
 3x25 
 
 3i83 
 
 324i 
 
 3299 
 
 2 
 
 58 
 
 1907 
 
 1969 
 
 2o3o 
 
 209X 
 
 2l52 
 
 22X4 
 
 I 
 
 58 
 
 3357 
 
 34i5 
 
 3473 
 
 353i 
 
 3589 
 
 3647 
 
 I 
 
 59 
 
 2275 
 
 2336 
 
 2397 
 
 2458 
 
 2520 
 
 258i 
 
 
 
 59 
 
 3704 
 
 3762 
 
 3820 3878 
 
 3936 
 
 3994 
 
 
 
 
 CO" 
 
 50" 
 
 40" 30" 
 
 20" 
 
 10" 
 
 
 
 60" 
 
 50" 
 
 40" 1 30" 
 
 20" 
 
 10" 
 
 
 Co-sine of 71 Degrees. 
 
 Co-sine of 70 Degrees. 
 
 P.l 
 
 y. j 1" 2" 3" 4" 5" 6" 7" 8" 9" j p 
 *"] 6 13 19 25 31 38 44 50 57 i ' 
 
 p ,j 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 ^^"(6 12 18 24 30 36 42 48 54 
 

 
 
 
 Logarithmic 
 
 Tangents. 
 
 
 
 
 
 43 
 
 
 Taiiijent of 18 Degrees, 
 
 
 S 
 
 Tangent of 19 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 1 50" 
 
 0" 
 
 10" 20" 
 
 30" 
 
 40" 1 50" 
 
 
 
 9.511776 
 
 i848 
 
 1919 
 
 1991 
 
 2o63 
 
 2 1 34 
 
 59 
 
 
 
 9.536972 
 
 7040 7109 
 
 7177 
 
 7245 
 
 73i4 
 
 59 
 
 I 
 
 2206 
 
 2277 
 
 2349 
 
 2420 
 
 2492 
 
 2 564 
 
 58 
 
 I 
 
 7382 
 
 745o 
 
 7519 
 
 7587 
 
 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 
 
 8475 
 
 8543 
 
 56 
 
 4 
 
 3493 
 
 3564 
 
 3636 
 
 3707 
 
 3778 
 
 385o 
 
 55 
 
 4 
 
 8611 
 
 8679 
 
 8747 
 
 8816 
 
 8884 
 
 8952 
 
 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 
 
 9633 
 
 9701 
 
 9769 
 
 53 
 
 7 
 
 4777 
 
 4848 
 
 4919 
 
 4990 
 
 5062 
 
 5i33 
 
 52 
 
 7 
 
 9837 
 
 9905 
 
 9973 
 
 ..4i 
 
 . 109 
 
 .177 
 
 52 
 
 8 
 
 52o4 
 
 5275 
 
 5346 
 
 5417 
 
 5489 
 
 556o 
 
 5i 
 
 8 
 
 9.540245 
 
 o3i3 
 
 o38i 
 
 0449 
 
 o5i7 
 
 o585 
 
 5i 
 
 y 
 
 563i 
 
 5702 
 
 5773 
 
 5844 
 
 5915 
 
 5986 
 
 5o 
 
 9 
 
 o653 
 
 0721 
 
 0789 
 
 0857 
 
 0925 
 
 0993 
 
 5o 
 
 lO 
 
 9.516057 
 
 6129 
 
 6200 
 
 6271 
 
 6342 
 
 64i3 
 
 49 
 
 10 
 
 9.541061 
 
 1128 
 
 1 196 
 
 1264 
 
 i332 
 
 i4oo 
 
 49 
 
 II 
 
 6484 
 
 6555 
 
 6626 
 
 6697 
 
 6768 
 
 6839 
 
 48 
 
 1 1 
 
 i468 
 
 i536 
 
 i6o3 
 
 1671 
 
 1739 
 
 1807 
 
 48 
 
 12 
 
 6910 
 
 6981 
 
 7o52 
 
 7123 
 
 7193 
 
 7264 
 
 47 
 
 12 
 
 1875 
 
 1943 
 
 2010 
 
 2078 
 
 2i46 
 
 2214 
 
 47 
 
 i3 
 
 7335 
 
 7406 
 
 7477 
 
 7548 
 
 7619 
 
 7690 
 
 46 
 
 i3 
 
 2281 
 
 2349 
 
 2417 
 
 2485 
 
 2552 
 
 2620 
 
 46 
 
 i4 
 
 7761 
 
 783i 
 
 7902 
 
 7973 
 
 8044 
 
 81 1 5 
 
 45 
 
 i4 
 
 2688 
 
 2755 
 
 2823 
 
 2891 
 
 2958 
 
 3026 
 
 45 
 
 i5 
 
 8186 
 
 8256 
 
 8327 
 
 8398 
 
 8469 
 
 8539 
 
 44 
 
 i5 
 
 3094 
 
 3i6i 
 
 3229 
 
 3297 
 
 3364 
 
 3432 
 
 44 
 
 i6 
 
 8610 
 
 8681 
 
 8752 
 
 8822 
 
 8893 
 
 8964 
 
 43 
 
 16 
 
 3499 
 
 3567 
 
 3635 
 
 3702 
 
 3770 
 
 3837 
 
 43 
 
 17 
 
 9034 
 
 9105 
 
 9176 
 
 9246 
 
 9317 
 
 9388 
 
 42 
 
 17 
 
 3905 
 
 3972 
 
 4o4o 
 
 4107 
 
 4175 4242 
 
 42 
 
 i8 
 
 9458 
 
 9529 
 
 9600 
 
 9670 
 
 9741 
 
 9811 
 
 4i 
 
 18 
 
 43io 
 
 4377 
 
 4445 
 
 45i2 
 
 4580:4647 
 
 4i 
 
 19 
 
 9882 
 
 9953 
 
 ..23 
 
 ..94 
 
 .164 
 
 .235 
 
 4o 
 
 19 
 
 4715 
 
 4782 
 
 485o 
 
 4917 
 
 4985!5o52 
 
 40 
 
 20 
 
 9.52o3o5 
 
 0376 
 
 o446 
 
 o5i7 
 
 o587 
 
 o658 
 
 39 
 
 20 
 
 9.545119 
 
 5187 
 
 5254 
 
 5322 
 
 5389:5456 
 
 39 
 
 21 
 
 0728 
 
 0799 
 
 0869 
 
 0939 
 
 lOIO 
 
 1080 
 
 38 
 
 21 
 
 5524 
 
 5591 
 
 5658 
 
 5726 
 
 579315860 
 
 38 
 
 22 
 
 I i5i 
 
 1 22 1 
 
 1292 
 
 i362 
 
 i432 
 
 i5o3 
 
 37 
 
 22 
 
 5928 
 
 5995 
 
 6062 
 
 6129 
 
 6197 6264 
 
 37 
 
 23 
 
 1573 
 
 1643 
 
 1714 
 
 1784 
 
 i854 
 
 1925 
 
 36 
 
 23 
 
 633i 
 
 6398 
 
 6466 
 
 6533 
 
 6600:6667 
 
 36 
 
 24 
 
 1995 
 
 2o65 
 
 2 1 36 
 
 2206 
 
 2276 
 
 2346 
 
 35 
 
 24 
 
 6735 
 
 6802 
 
 6869 
 
 6936 
 
 7oo3;707i 
 
 35 
 
 25 
 
 2417 
 
 2487 
 
 2557 
 
 2627 
 
 2698 
 
 2768 
 
 34 
 
 25 
 
 7i38 
 
 7205 
 
 7272 
 
 7339 
 
 7406 7473 
 
 34 
 
 26 
 
 2838 
 
 2908 
 
 2978 
 
 3o48 
 
 3119 
 
 3189 
 
 33 
 
 26 
 
 7540 
 
 7608 
 
 7675 
 
 7742 
 
 780917876 
 
 33 
 
 27 
 
 3259 
 
 3329 
 
 3399 
 
 3469 
 
 3539 
 
 3609 
 
 32 
 
 27 
 
 7943 
 
 8010 
 
 8077 
 
 8i44 
 
 82ii'8278 
 
 32 
 
 28 
 
 368o 
 
 3750 
 
 3820 
 
 3890 
 
 3960 
 
 4o3o 
 
 3i 
 
 28 
 
 8345 
 
 84l2 
 
 8479 
 
 8546 
 
 861 3 8680 
 
 3i 
 
 29 
 
 4ioo 
 
 4170 
 
 4240 
 
 43io 
 
 438o 
 
 445o 
 
 3o 
 
 29 
 
 8747 
 
 88i4 
 
 8881 
 
 8948 
 
 9015 
 
 9082 
 
 3o 
 
 3o 
 
 9.524520 
 
 4590 
 
 4660 
 
 4730 
 
 4800 
 
 4870 
 
 29 
 
 3o 
 
 9.549149 
 
 9216 
 
 9283 
 
 9349 
 
 94169483 
 
 29 
 
 3i 
 
 4940 
 
 5009 
 
 5o79 
 
 5i49 
 
 5219 
 
 5289 
 
 28 
 
 3i 
 
 gSSo 
 
 9617 
 
 9684 
 
 975i 
 
 9817 9884 
 
 28 
 
 32 
 
 5359 
 
 5429 
 
 5499 
 
 5568 
 
 5638 
 
 5708 
 
 27 
 
 32 
 
 9951 
 
 ..18 
 
 ..85 
 
 .l52 
 
 .218 
 
 .285 
 
 27 
 
 33 
 
 5778 
 
 5848 
 
 5918 
 
 5987 
 
 6057 
 
 6127 
 
 26 
 
 33 
 
 g.55o352 
 
 0419 
 
 o485 
 
 o552 
 
 0619 
 
 0686 
 
 26 
 
 34 
 
 6197 
 
 6266 
 
 6336 
 
 64o6 
 
 6476 
 
 6545 
 
 25 
 
 34 
 
 0752 
 
 0819 
 
 0886 
 
 0952 
 
 1019 
 
 1086 
 
 25 
 
 35 
 
 66i5 
 
 6685 
 
 6754 
 
 6824 
 
 6894 
 
 6963 
 
 24 
 
 35 
 
 ii53 
 
 1219 
 
 1286 
 
 i353 
 
 1419 
 
 i486 
 
 24 
 
 36 
 
 7033 
 
 7io3 
 
 7172 
 
 7242 
 
 73i2 
 
 7381 
 
 23 
 
 36 
 
 i552 
 
 1619 
 
 1686 
 
 1752 
 
 i8i9;i885 
 
 23 
 
 37 
 
 745 1 
 
 7520 
 
 7590 
 
 7660 
 
 7729 
 
 7799 
 
 22 
 
 37 
 
 1952 
 
 2019 
 
 2o85 
 
 2l52 
 
 2218 
 
 2285 
 
 22 
 
 38 
 
 7868 
 
 7938 
 
 8007 
 
 8077 
 
 8i46 
 
 8216 
 
 21 
 
 38 
 
 235i 
 
 2418 
 
 2484 
 
 255i 
 
 2617 2684 
 
 21 
 
 39 
 
 8285 
 
 8355 
 
 8424 
 
 8494 
 
 8563 
 
 8633 
 
 20 
 
 39 
 
 2750 
 
 2817 
 
 2883 
 
 2950 
 
 3oi6i3o83 
 
 20 
 
 4o 
 
 9.528702 
 
 8772 
 
 884i 
 
 8910 
 
 8980 
 
 9049 
 
 19 
 
 4o 
 
 9.553149 
 
 32i6 
 
 3282 
 
 3348 
 
 34i5]348i 
 
 19 
 
 4i 
 
 9119 
 
 9188 
 
 9257 
 
 9327 
 
 9396 
 
 9465 
 
 18 
 
 4i 
 
 3548 
 
 36i4 
 
 368o 
 
 3747 
 
 38i3 
 
 388o 
 
 18 
 
 42 
 
 9535 
 
 9604 
 
 9673 
 
 9743 
 
 9812 
 
 9881 
 
 17 
 
 42 
 
 3946 
 
 40I2 
 
 4079 
 
 4i45 
 
 421 1 
 
 4278 
 
 17 
 
 43 
 
 9951 
 
 . .20 
 
 ..89 
 
 .i58 
 
 .228 
 
 .297 
 
 16 
 
 43 
 
 4344 
 
 4410 
 
 4476 
 
 4543 
 
 4609 4675 
 
 16 
 
 44 
 
 9.53o366 
 
 0435 
 
 o5o4 
 
 0574 
 
 0643 
 
 0712 
 
 i5 
 
 44 
 
 4741 
 
 48o8 
 
 4874 
 
 4940 
 
 5oo6 5073 
 
 i5 
 
 45 
 
 0781 
 
 o85o 
 
 0920 
 
 0989 
 
 io58 
 
 1 127 
 
 i4 
 
 45 
 
 5i39 
 
 52o5 
 
 5271 
 
 5337 
 
 54o4 5470 
 
 i4 
 
 46 
 
 1196 
 
 1265 
 
 i334 
 
 r4o3 
 
 1473 
 
 i542 
 
 i3 
 
 46 
 
 5536 
 
 56o2 
 
 5668 
 
 5734 
 
 58oo 5867 
 
 i3 
 
 47 
 
 1611 
 
 1680 
 
 1749 
 
 1818 
 
 1887 
 
 1956 
 
 12 
 
 47 
 
 5933 
 
 5999 
 
 6o65 
 
 6i3i 
 
 6197 6263 
 
 12 
 
 48 
 
 2025 
 
 2094 
 
 2i63 
 
 2232 
 
 23oi 
 
 2370 
 
 II 
 
 48 
 
 5329 
 
 6395 
 
 646i 
 
 6527 
 
 6593 6659 
 
 1 1 
 
 49 
 
 2439 
 
 25o8 
 
 2577 
 
 2646 
 
 2715 
 
 2784 
 
 10 
 
 49 
 
 6725 
 
 6791 
 
 6857 
 
 6923 
 
 6989 7o55 
 
 10 
 
 5o 
 
 9.532853 
 
 2921 
 
 2990 
 
 3o59 
 
 3128 
 
 3197 
 
 9 
 
 5o 
 
 9.557121 
 
 7187 
 
 7253 
 
 7319 
 
 7385, 745i 
 
 9 
 
 5i 
 
 3266 
 
 3335 
 
 34o4 
 
 3472 
 
 3541 
 
 36io 
 
 8 
 
 5i 
 
 7517 
 
 7583 
 
 7649 
 
 7715 
 
 7781J7847 
 
 8 
 
 52 
 
 3679 
 
 3748 
 
 38i6 
 
 3885 
 
 3954 
 
 4023 
 
 7 
 
 52 
 
 7913 
 
 7978 
 
 8o44 
 
 8110 
 
 8176 824a 
 
 7 
 
 53 
 
 4092 
 
 4i6o 
 
 4229 
 
 4298 
 
 4367 
 
 4435 
 
 6 
 
 53 
 
 83o8 
 
 8373 
 
 8439 
 
 85o5 
 
 8571 8637 
 
 6 
 
 54 
 
 45o4 
 
 4573 
 
 464i 
 
 4710 
 
 4779 
 
 4847 
 
 5 
 
 54 
 
 8703 
 
 8768 8834 
 
 8900 
 
 8966 9o3i 
 
 5 
 
 55 
 
 4916 
 
 4985 
 
 5o53 
 
 5l22 
 
 5I9I 
 
 5259 
 
 4 
 
 55 
 
 9097 
 
 9163 
 
 9229 
 
 9294 
 
 9360 9426 
 
 4 
 
 56 
 
 5328 
 
 5396 
 
 5465 
 
 5534 
 
 56o2 
 
 5671 
 
 3 
 
 56 
 
 9491 
 
 9557 
 
 9623 
 
 9688 
 
 9754,9820 
 
 3 
 
 57 
 
 5739 
 
 58o8 
 
 5876 
 
 5945 
 
 6oi3 
 
 6082 
 
 2 
 
 57 
 
 9885 
 
 9951 
 
 ..17 
 
 ..82 
 
 .i48 
 
 .2l4 
 
 2 
 
 58 
 
 6i5o 
 
 6219 
 
 6287 
 
 6356 
 
 6424 
 
 6493 
 
 I 
 
 58 
 
 9.560279 
 
 o345 
 
 o4io 
 
 0476 
 
 o542 
 
 0607 
 
 I 
 
 59 
 
 656i 
 
 663o 
 
 6698 
 
 6767 
 
 6835 
 
 6903 
 
 
 
 59 
 
 0673 
 
 0738 
 
 o8o4 
 
 0869 
 
 0935 
 
 1000 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 S 
 
 r. 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 1 10" 
 
 
 Co-tangent of 71 Degrees. 
 
 Co-tangent of 70 Degrees. 
 
 P Pore i 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 r.iart^^ 14 21 28 35 42 49 5G 63 
 
 p , ( 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 ' ''"■^ 1 7 13 20 27 33 40 47 54 60 
 
M 
 
 Logarithmic Sines. 
 
 1 
 
 a 1 
 
 Sine of 20 Degrees. 
 
 
 d 
 
 Sine of 21 Degrees. 
 
 \ 
 
 iS 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 40" 1 
 
 50" 1 
 
 o 
 
 9.534052 
 4399 
 
 4i 10 
 
 4167 
 
 4225 
 
 d283. 
 
 i34i 
 
 59 
 
 
 
 9.5543294384 
 
 4439 
 
 4494 >■ 
 
 i549 46o3 
 
 59 
 
 I 
 
 4456 
 
 45i4 
 
 4572 
 
 463o 
 
 i687 
 
 58 
 
 I 
 
 4658 
 
 4713 
 
 4768 
 
 4822: 
 
 i877 
 
 4932 
 
 58 
 
 2 
 
 4745 
 
 48o3 
 
 4861 
 
 4918 
 
 4976 
 
 5o34 
 
 57 
 
 2 
 
 4987 
 
 5o42 
 
 5096 
 
 5i5i 
 
 3206 
 
 5260 
 
 37 
 
 3 
 
 5092 
 
 5438 
 
 5i49 
 5495 
 
 5207 
 
 5265 
 
 5322 
 
 538o 
 
 56 
 
 3 
 
 53i5 
 
 5370 
 
 5425 
 
 5479 
 
 5534 
 
 5589 
 
 56 
 
 4 
 
 5553 
 
 56io 
 
 5668 
 
 5726 
 
 55 
 
 4 
 
 5643 
 
 5698 
 
 5753 
 
 5807 
 
 5862 
 
 5916 
 
 55 
 
 5 
 
 5783 
 
 584i 
 
 5898 
 
 5956 
 
 5oi4 
 
 5071 
 
 54 
 
 5 
 
 5971 
 
 3026 
 
 6080 
 
 6i35 
 
 Sigo 
 
 5244 
 
 54 
 
 6 
 
 6129 
 
 6474 
 
 5i86 
 
 5244 
 
 S3oi 
 
 5359 
 
 5416 
 
 53 
 
 6 
 
 6299 
 
 5353 
 
 64o8 
 
 6462 
 
 5517 
 
 5571 
 
 53 
 
 7 
 8 
 
 553i 
 
 5589 
 
 6646 
 
 6704 
 
 5761 
 
 52 
 
 7 
 
 6626 
 
 568o 
 
 6735 
 
 6789 
 
 6844 
 
 6898 
 
 52 
 
 6818 
 
 5876 
 
 5933 
 
 6991 
 
 7048 
 
 7io5 
 
 5i 
 
 8 
 
 6953 
 
 7007 
 
 7062 
 
 71 16 
 
 7171 
 
 7225 
 
 5i 
 
 9 
 
 10 
 
 7163 
 
 7220 
 
 7278 
 
 7335 
 
 7392 
 
 745o 
 
 5o 
 
 9 
 
 7280 
 
 7334 
 
 7388 
 
 7443 
 
 7497 
 
 7552 
 
 5o 
 
 Q. 537507 
 
 7564 
 
 7622 
 
 7679 
 
 7736 
 
 7794 
 
 49 
 
 10 
 
 9.557606 
 
 7660 
 
 77i5 
 
 7769 
 
 7823 
 
 7878 
 
 49 
 
 1 1 
 
 7 > ' 
 
 785i 
 
 7908 
 
 7965 
 
 8023 
 
 8080 
 
 8137 
 
 48 
 
 II 
 
 7932 
 
 7986 
 
 8o4i 
 
 8095 
 
 8149 
 
 8204 
 
 48 
 
 I 2 
 
 8194 
 
 S252 
 
 3309 
 
 8366 
 
 8423 
 
 B48o 
 
 47 
 
 12 
 
 8258 
 
 83i2 
 
 8366 
 
 8421 
 
 8475 
 
 852g 
 
 47 
 
 i3 
 
 8538 
 
 3595 
 
 3652 
 
 8709 
 
 8766 
 
 8823 
 
 46 
 
 i3 
 
 8583 
 
 8638 
 
 8692 
 
 8746 
 
 8800 
 
 8855 
 
 46 
 
 i4 
 
 8880 
 
 3938 
 
 8995 
 
 9o52 
 
 9109 
 
 9166 
 
 45 
 
 i4 
 
 8909 
 
 8963 
 
 9017 
 
 9071 
 
 9125 
 
 gi8o 
 
 45 
 
 i5 
 
 9223 
 
 9280 
 
 9337 
 
 9394 
 
 945 1 
 
 9508 
 
 44 
 
 i5 
 
 9234 
 
 9288 
 
 9342 
 
 9396 
 
 g45o 
 
 95o4 
 
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 1907 
 
 1971 
 
 2o34 
 
 2097 
 
 2x60 2223 
 
 5 
 
 54 
 
 4223 
 
 4284 
 
 4345 
 
 44o6 
 
 4467 
 
 4527 
 
 5 
 
 55 
 
 2286 
 
 235o 
 
 24x3 
 
 2476 
 
 2539 2602 
 
 4 
 
 55 
 
 4588 
 
 4649 
 
 4710 
 
 4771 
 
 483x 
 
 4892 
 
 4 
 
 56 
 
 2665 
 
 2728 
 
 2791 
 
 2854 
 
 2917 2g8o 
 
 3 
 
 56 
 
 4953 
 
 5oi4 
 
 5074 
 
 5x35 
 
 5xg6 
 
 5257 
 
 3 
 
 57 
 
 3o44 
 
 3107 
 
 3x70 
 
 3233 
 
 3296,3359 
 
 2 
 
 57 
 
 53x7 
 
 5378 
 
 543g 
 
 55oo 556o 
 
 5621 
 
 2 
 
 5fe 
 
 3422 
 
 3485 
 
 3548 
 
 36x1 
 
 36743737 
 
 I 
 
 58 
 
 5682 
 
 5742 
 
 58o3 
 
 ,5864,5924 
 
 !5g85 
 
 I 
 
 5c 
 
 ) 38oc 
 
 3863 
 
 3926 
 
 3989 
 
 4o52 4ii4 
 
 
 
 59 
 
 6o46 
 
 6106 6x67 
 
 6228 
 1 30" 
 
 6288 
 ^" 
 
 6349 
 
 
 
 
 I 60" 
 
 50" 
 
 40" 30" 
 
 20" 1 10" 
 
 - d 
 
 
 60" 
 
 50" 1 40" 
 
 10" 
 
 d 
 
 Co-tangent of 69 Degrees. 
 
 Co-tangent of 68 Degrees. 
 
 S 
 
 P. 
 
 p„, j 1" 3" 3" 4" 5" 6" 7" 8" 9" 
 '"' ^6 13 19 26 33 39 45 51 58 
 
 P. 
 
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 2" 3 
 12 IS 
 
 ' 4" 
 25 
 
 5" i 
 31 3 
 
 )" 7" 
 7 43 
 
 8" 
 49 
 
 9" 
 50 
 
46 
 
 Logarithmic Sines. 
 
 a 
 
 s 
 
 Sine of 22 Degrees. 
 
 
 
 Sine of 23 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 50" 1 
 
 
 
 9.573575 
 
 3628 
 
 368o 
 
 3733 
 
 3784 
 
 3836 
 
 59 
 
 
 
 9.591878 
 
 1928 
 
 1977 
 
 2027 
 
 2076 
 
 2126 
 
 59 
 
 I 
 
 3888 
 
 3940 
 
 3992 
 
 4o44 
 
 4096 
 
 4i48 
 
 58 
 
 I 
 
 2176 
 
 3225 2275 
 
 2324 
 
 2374 
 
 2423 
 
 58 
 
 2 
 
 4200 
 
 4252 
 
 43o4 
 
 4356 
 
 4408 
 
 4460 
 
 57 
 
 
 
 2473 
 
 2522 2572 
 
 2621 
 
 2671 
 
 2720 
 
 57 
 
 3 
 
 45i2 
 
 4564 
 
 46i6 
 
 4668 
 
 4720 
 
 4772 
 
 56 
 
 3 
 
 2770 
 
 2819 2869 
 
 2918 
 
 2968 
 
 3017 
 
 56 
 
 4 
 
 4824 
 
 4876 
 
 4928 
 
 4980 
 
 5o32 
 
 5o84 
 
 55 
 
 4 
 
 3067 
 
 3ii63i65 
 
 32i5 
 
 3264 
 
 33i4 
 
 55 
 
 5 
 
 5r36 
 
 5187 
 
 5239 
 
 5291 
 
 5343 
 
 5395 
 
 54 
 
 5 
 
 3363 
 
 3412 
 
 3462 
 
 35ii 
 
 356i 
 
 36io 
 
 54 
 
 6 
 
 5447 
 
 5499 
 
 555o 
 
 56o2 
 
 5654 
 
 5706 
 
 53 
 
 6 
 
 3659 
 
 3709 
 
 3758 
 
 3807 
 
 3857 
 
 3906 
 
 53 
 
 7 
 
 8 
 
 5758 
 
 58io 
 
 586i 
 
 5913 
 
 5965 
 
 6017 
 
 52 
 
 7 
 
 3955 
 
 4oo5 
 
 4o54 
 
 4io3 
 
 4i53 
 
 4202 
 
 52 
 
 6069 
 6379 
 
 6120 
 
 6172 
 
 6224 
 
 6276 
 
 632 7 
 
 5i 
 
 8 
 
 425i 
 
 43oi 
 
 435o 
 
 4399 
 
 4448 
 
 4498 
 
 5i 
 
 9 
 
 10 
 
 643i 
 
 6483 
 
 6534 
 
 6586 
 
 6638 
 
 5o 
 
 9 
 
 4547 
 
 4596 
 
 4645 
 
 4695 
 
 4744 
 
 4793 
 
 5o 
 
 9.576689 
 
 6741 
 
 5793 
 
 6844 
 
 6896 
 
 6948 
 
 49 
 
 10 
 
 9.594842 
 
 4891 
 
 4941 
 
 4990 
 
 5o39 
 
 5o88 
 
 49 
 
 1 1 
 
 6999 
 7309 
 
 7o5i 
 
 7103 
 
 7154 
 
 7206 
 
 7257 
 
 48 
 
 11 
 
 5i37 
 
 5i86 
 
 5236 
 
 5285 
 
 5334 
 
 5383 
 
 48 
 
 12 
 
 7360 
 
 74l2 
 
 7464 
 
 75i5 
 
 7567 
 
 47 
 
 12 
 
 5432 
 
 5481 
 
 553o 
 
 558o 
 
 5629 
 
 5678 
 
 47 
 
 i3 
 
 7618 
 
 7670 
 
 7721 
 
 7773 
 
 7824 
 
 7876 
 
 46 
 
 i3 
 
 5727 
 
 5776 
 
 5825 
 
 5874 
 
 5923 
 
 5972 
 
 46 
 
 i4 
 
 7927 
 
 7979 
 
 8o3o 
 
 8082 
 
 8i33 
 
 8i85 
 
 45 
 
 i4 
 
 6021 
 
 6070 
 
 61 19 
 
 6168 
 
 6217 
 
 6266 
 
 45 
 
 i5 
 
 8336 
 
 8288 
 
 3339 
 
 8391 
 
 8442 
 
 8494 
 
 44 
 
 i5 
 
 63i5 
 
 6364 
 
 64i3 
 
 6462 
 
 65ii 
 
 656o 
 
 44 
 
 i6 
 
 8545 
 
 8596 
 
 8648 
 
 8699 
 
 8751 
 
 8802 
 
 43 
 
 16 
 
 6609 
 
 6658 
 
 6707 
 
 6756 
 
 68o5 
 
 6854 
 
 43 
 
 17 
 
 8853 
 
 8905 
 
 3956 
 
 9008 
 
 9059 
 
 91 10 
 
 42 
 
 17 
 
 6903 
 
 6952 
 
 7001 
 
 7o5o 
 
 7099 
 
 7148 
 
 42 
 
 18 
 
 9162 
 
 9213 
 
 9264 
 
 9316 
 
 9367 
 
 9418 
 
 4i 
 
 18 
 
 7196 
 
 7345 
 
 7294 
 
 7343 
 
 7392 
 
 7441 
 
 4i 
 
 19 
 
 9470 
 
 9521 
 
 9572 
 
 9623 
 
 9675 
 
 9726 
 
 4o 
 
 19 
 
 7490 
 
 7539 
 
 7587 
 
 7636 
 
 7685 
 
 7734 
 
 4o 
 
 7 
 
 20 
 
 9.579777 
 
 9828 
 
 9880 
 
 9931 
 
 9982 
 
 ..33 
 
 39 
 
 20 
 
 9.597783 
 
 783i 
 
 7880 
 
 7929 
 
 7978 
 
 8027 
 
 39 
 
 21 
 
 9.58oo85 
 
 oi36 
 
 0187 
 
 0238 
 
 0289 
 
 o34i 
 
 38 
 
 21 
 
 8075 
 
 8124 
 
 8173 
 
 8222 
 
 8270 
 
 83i9 
 
 38 
 
 22 
 
 o3q2 
 
 0443 
 
 0494 
 
 0545 
 
 0596 
 
 0647 
 
 37 
 
 22 
 
 8368 
 
 8417 
 
 8465 
 
 85i4 
 
 8563 
 
 86x2 
 
 37 
 
 23 
 
 0699 
 
 0750 
 
 0801 
 
 o852 
 
 0903 
 
 0954 
 
 36 
 
 23 
 
 8660 
 
 8709 
 
 8758 
 
 8806 
 
 8855 
 
 8904 
 
 36 
 
 24 
 
 ioo5 
 
 io56 
 
 1 107 
 
 1 1 58 
 
 1209 
 
 1261 
 
 35 
 
 24 
 
 8952 
 
 9001 
 
 9o5o 
 
 9098 
 
 9147 
 
 9195 
 
 35 
 
 25 
 
 l3[3 
 
 i363 
 
 i4i4 
 
 i465 
 
 i5i6 
 
 i567 
 
 34 
 
 25 
 
 9244 
 
 9293 
 
 9341 
 
 9390 
 
 943s 
 
 9487 
 
 34 
 
 26 
 
 i6i8 
 
 1669 
 
 1720 
 
 1771 
 
 1822 
 
 1873 
 
 33 
 
 26 
 
 9536 
 
 9584 
 
 9633 
 
 9681 
 
 9730 
 
 9778 
 
 33 
 
 27 
 
 1924 
 
 1975 
 
 2025 
 
 2076 
 
 2127 
 
 2178 
 
 32 
 
 27 
 
 9827 
 
 9876 9924 
 
 9973 
 
 . .21 
 
 ..70 
 
 32 
 
 28 
 
 2329 
 
 2280 
 
 233i 
 
 2382 
 
 3433 
 
 2484 
 
 3i 
 
 28 
 
 9.6001 18 
 
 0167 02l5 
 
 0264 
 
 o3i2 
 
 o36i 
 
 3i 
 
 29 
 
 2535 
 
 2585 
 
 2636 
 
 2687 
 
 2738 
 
 2789 
 
 3o 
 
 29 
 
 0409 
 
 0457 
 
 o5o6 
 
 o554 
 
 o6o3 
 
 o65i 
 
 3o 
 
 3o 
 
 9.583840 
 
 2890 
 
 2941 
 
 2992 
 
 3o43 
 
 3094 
 
 29 
 
 3o 
 
 9.600700 
 
 0748 
 
 0797 
 
 0845 
 
 0893 
 
 0942 
 
 29 
 
 3i 
 
 3i45 
 
 3195 
 
 3246 
 
 3297 
 
 3348 
 
 3398 
 
 28 
 
 3i 
 
 0990 
 
 io38 
 
 1087 
 
 ii35 
 
 ii84 
 
 1232 
 
 28 
 
 32 
 
 3449 
 
 35oo 
 
 355i 
 
 36oi 
 
 3652 
 
 3703 
 
 27 
 
 32 
 
 1280 
 
 i329 
 
 1377 
 
 l425 
 
 1474 
 
 l522 
 
 27 
 
 33 
 
 3754 
 
 38o4 
 
 3855 
 
 3906 
 
 3956 
 
 4007 
 
 26 
 
 33 
 
 1570 
 
 1619 
 
 1667 
 
 1715 
 
 1763 
 
 1812 
 
 26 
 
 34 
 
 4o58 
 
 4io8 
 
 4i59 
 
 4310 
 
 4260 
 
 43ii 
 
 25 
 
 34 
 
 i860 
 
 1908 
 
 1957 
 
 2005 
 
 2o53 
 
 2101 
 
 25 
 
 35 
 
 436i 
 
 44i2 
 
 4463 
 
 45 1 3 
 
 4564 
 
 46i5 
 
 24 
 
 35 
 
 2i5o 
 
 2198 
 
 2246 
 
 2294 
 
 2342 
 
 2391 
 
 24 
 
 36 
 
 4665 
 
 4716 
 
 4766 
 
 4817 
 
 4867 
 
 4918 
 
 23 
 
 36 
 
 2439 
 
 2487 
 
 2535 
 
 2583 
 
 2632 
 
 2680 
 
 23 
 
 37 
 
 4968 
 
 5019 
 
 5070 
 
 5l20 
 
 5171 
 
 5221 
 
 22 
 
 37 
 
 2728 
 
 2776 
 
 2824 
 
 2872 
 
 2920 
 
 2969 
 
 22 
 
 38 
 
 5273 
 
 5323 
 
 5373 
 
 5423 
 
 5474 
 
 5524 
 
 21 
 
 38 
 
 3017 
 
 3o65 
 
 3ii3 
 
 3i6i 
 
 3209 
 
 3257 
 
 21 
 
 39 
 
 5574 
 
 5625 
 
 5675 
 
 5726 
 
 5776 
 
 5827 
 
 20 
 
 39 
 
 33o5 
 
 3353 
 
 34oi 
 
 3449 
 
 3497 
 
 3546 
 
 20 
 
 4o 
 
 9.585877 
 
 5927 
 
 5978 
 
 6028 
 
 6079 
 
 6129 
 
 19 
 
 4o 
 
 9.603594 
 
 3642 
 
 3690 
 
 3738 
 
 3786 
 
 3834 
 
 19 
 
 4i 
 
 6179 
 
 623o 
 
 6280 
 
 633i 
 
 638i 
 
 643 1 
 
 18 
 
 4i 
 
 3882 
 
 3930 
 
 3978 
 
 4026 
 
 4074 
 
 4l22 
 
 18 
 
 42 
 
 6483 
 
 6533 
 
 6582 
 
 6633 
 
 6683 
 
 6733 
 
 17 
 
 42 
 
 4170 
 
 4218 
 
 4266 
 
 43i3 
 
 436i 
 
 4409 
 
 17 
 
 43 
 
 6783 
 
 6834 
 
 6884 
 
 6934 
 
 6985 
 
 7035 
 
 16 
 
 43 
 
 4457 
 
 45o5 
 
 4553 
 
 4601 
 
 4649 
 
 4697 
 
 16 
 
 44 
 
 7085 
 
 7135 
 
 7186 
 
 7236 
 
 7286 
 
 7336 
 
 i5 
 
 44 
 
 4745 
 
 4793 
 
 484i 
 
 4888 
 
 4936 
 
 4984 
 
 i5 
 
 45 
 
 7386 
 
 7437 
 
 7487 
 
 7537 
 
 7587 
 
 7637 
 
 i4 
 
 45 
 
 5o32 
 
 5o8o 
 
 5i28 
 
 5176 
 
 5223 
 
 5271 
 
 i4 
 
 46 
 
 7688 
 
 7738 
 
 7788 
 
 7838 
 
 7888 
 
 7938 
 
 i3 
 
 46 
 
 5319 
 
 5367 
 
 54i5 
 
 5462 
 
 55io 
 
 5558 
 
 i3 
 
 47 
 
 7989 
 
 8039 
 
 8089 
 
 8139 
 
 8189 
 
 8239 
 
 12 
 
 47 
 
 56o6 
 
 5654 
 
 5701 
 
 5749 
 
 5797 
 
 5845 
 
 12 
 
 48 
 
 8389 
 
 8339 
 
 8389 
 
 8439 
 
 8489 
 
 854o 
 
 II 
 
 48 
 
 5892 
 
 5940 
 
 5988 
 
 6o35 
 
 6o83 
 
 6i3i 
 
 II 
 
 49 
 
 8590 
 
 864o 
 
 8690 
 
 8740 
 
 8790 
 
 884o 
 
 10 
 
 49 
 
 6179 
 
 6226 
 
 6274 
 
 6322 
 
 6369 
 
 6417 
 
 10 
 
 So 
 
 9.5888go 
 
 8940 
 
 8990 
 
 9040 
 
 9090 
 
 9i4o 
 
 9 
 
 5o 
 
 9.606465 
 
 65i3 
 
 656o 
 
 6608 
 
 6655 
 
 6703 
 
 9 
 
 5i 
 
 9190 
 
 9340 
 
 9290 
 
 9340 
 
 9389 
 
 9439 
 
 8 
 
 5i 
 
 6751 
 
 6798 
 
 6846 
 
 6893 
 
 6941 
 
 6989 
 
 8 
 
 52 
 
 94S9 
 
 9539 
 
 9589 
 
 9639 
 
 9689 
 
 9739 
 
 7 
 
 52 
 
 7o36 
 
 7084 
 
 7i3i 
 
 7179 
 
 7227 
 
 7274 
 
 7 
 
 53 
 
 9789 
 
 9839 
 
 9889 
 
 9938 
 
 9988 
 
 ..38 
 
 6 
 
 53 
 
 7322 
 
 7369 
 
 7417 
 
 7464 
 
 75i2 
 
 7559 
 
 6 
 
 54 
 
 9.590088 
 
 oi38 
 
 0188 
 
 0237 
 
 0287 
 
 0337 
 
 5 
 
 54 
 
 7607 
 
 7654 
 
 7702 
 
 7749 
 
 7797 
 
 7844 
 
 5 
 
 55 
 
 0387 
 
 0437 
 
 0487 
 
 o536 
 
 o586 
 
 o636 
 
 4 
 
 55 
 
 7892 
 
 7939 
 
 7987 
 
 8o34 
 
 8082 
 
 8129 
 
 4 
 
 56 
 
 0686 
 
 0735 
 
 0785 
 
 o835 
 
 o885 
 
 0934 
 
 3 
 
 56 
 
 8177 
 
 8224 
 
 8271 
 
 83i9 
 
 8366 
 
 84i4 
 
 3 
 
 57 
 
 0984 
 
 io34 
 
 108/ 
 
 ii33 
 
 ii83 
 
 1233 
 
 2 
 
 57 
 
 846 1 
 
 85o8 
 
 8556 
 
 86o3 
 
 865i 
 
 8698 
 
 2 
 
 58 
 
 1382 
 
 i332 
 
 1 382 
 
 i43i 
 
 i48i 
 
 i53i 
 
 I 
 
 58 
 
 8745 
 
 8793 
 
 884o 
 
 8887 
 
 8935 
 
 8982 
 
 I 
 
 59 
 
 i58o 
 
 i63o 
 
 1680 
 
 1729 
 
 1779 
 
 1828 
 
 
 
 59 
 
 9039 
 
 9077 
 
 9124 
 
 9171 
 
 9219 
 
 9266 
 
 
 
 
 60" 
 
 50" 1 40" 
 
 30" 
 
 1 20" 
 
 1 10" 
 
 ?5 
 
 60" 1 50" 1 40" 
 
 30" 
 
 20" 
 
 10" 
 
 d 
 
 '9, 
 
 Co-sine of 67 Degrees. 
 
 Co-sine of 66 Degrees. 
 
 „ „ M" 2" 3" 4" 5" 6" 7" 8" 9" 
 P.Part-jg jQ -J5 2Q 25 3^ gg 4^ 43 
 
 P 
 
 „ (1" 2" 3" 4" 5" 6" 7" 8" 
 • ^^^^ 15 10 15 19 24 29 34 39 
 
 9" 
 44 
 

 
 
 
 Logarithmic 
 
 Tangents. 
 
 
 
 
 
 47 
 
 a 
 
 Taufjent of 22 Degrees. 
 
 
 
 Tangent of 23 Degrees. 
 
 59 
 
 0" 1 10" 1 20" 
 
 30" 1 40" 1 50" 
 
 0" 1 10" 
 
 80" 
 
 30" 
 
 40" 1 50" 
 
 
 
 g.6o64io 
 
 6470 
 
 653i 
 
 6591 
 
 6652 
 
 6713 
 
 59 
 
 
 
 9.627852 
 
 7910 
 
 7969 
 
 8028 
 
 8086 
 
 8145 
 
 I 
 
 67736834 
 
 6894 
 
 6955 
 
 7015 
 
 7076 
 
 58 
 
 I 
 
 8203 
 
 8262 
 
 8320 
 
 8379 
 
 8437 
 
 8496 
 
 58 
 
 o 
 
 71377197 
 
 7258 
 
 73 1 8 
 
 7379 
 
 7439 
 
 57 
 
 2 
 
 8554 
 
 8612 
 
 8671 
 
 8729 
 
 8788 
 
 8846 
 
 57 
 
 3 
 
 7500 
 
 7560 
 
 7621 
 
 7681 
 
 7742 
 
 7802 
 
 56 
 
 3 
 
 8905 
 
 8963 
 
 9022 
 
 9080 
 
 9x38 
 
 9197 
 
 56 
 
 4 
 
 7863 
 
 7923 
 
 7984 
 
 8044 
 
 8io5 
 
 8i65 
 
 55 
 
 4 
 
 9255 
 
 93i4 
 
 9372 
 
 943i 
 
 9489 
 
 9547 
 
 55 
 
 5 
 
 8225 
 
 8286 
 
 8346 
 
 8407 
 
 8467 
 
 8528 
 
 54 
 
 5 
 
 9606 
 
 9664 
 
 9722 
 
 9781 
 
 9839 
 
 9897 
 
 54 
 
 6 
 
 8588 
 
 8648 
 
 8709 
 
 8769 
 
 883o 
 
 8890 
 
 53 
 
 6 
 
 9956 
 
 ..i4 
 
 ..73 
 
 .i3i 
 
 .189 
 
 .247 
 
 53 
 
 7 
 
 8950 
 
 901 1 
 
 9071 
 
 9i3i 
 
 9192 
 
 9252 
 
 52 
 
 7 
 
 9.63o3o6 
 
 o364 
 
 0422 
 
 o48i 
 
 0539 
 
 0597 
 
 52 
 
 8 
 
 93i2 
 
 9373 
 
 9433 
 
 9493 
 
 9554 
 
 9614 
 
 5i 
 
 8 
 
 o656 
 
 0714 
 
 0772 
 
 o83o 
 
 0889 
 
 0947 
 
 5i 
 
 9 
 
 9674 
 
 9735 
 
 9795 
 
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 49 
 
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 49 
 
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 0397 
 
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 o5i8 
 
 0578 
 
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 0698 
 
 48 
 
 XI 
 
 1704 
 
 1762 
 
 1820 
 
 1878 
 
 1936 
 
 1995 
 
 48 
 
 12 
 
 0759 
 
 0819 
 
 0879 
 
 0939 
 
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 loSg 
 
 47 
 
 12 
 
 2o53 
 
 21 1 1 
 
 2169 
 
 2227 
 
 2285 
 
 2343 
 
 47 
 
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 1 120 
 
 1 180 
 
 1240 
 
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 l420 
 
 46 
 
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 2402 
 
 2460 
 
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 2576 
 
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 2692 
 
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 1 540 
 
 1601 
 
 1661 
 
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 I781 
 
 45 
 
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 2750 
 
 2808 
 
 2866 
 
 2924 
 
 2982 
 
 3o4o 
 
 45 
 
 i5 
 
 i84i 
 
 1901 
 
 1961 
 
 2021 
 
 2081 
 
 2l4l 
 
 44 
 
 i5 
 
 3099 
 
 3i57 
 
 32i5 
 
 3273 
 
 333i 
 
 3389 
 
 44 
 
 i6 
 
 2201 
 
 2261 
 
 2321 
 
 238i 
 
 2441 
 
 25oi 
 
 43 
 
 16 
 
 3447 
 
 35o5 
 
 3563 
 
 3621 
 
 3679 
 
 3737 
 
 43 
 
 ■7 
 
 256i 
 
 2621 
 
 2681 
 
 2741 
 
 2801 
 
 2861 
 
 42 
 
 17 
 
 3795 
 
 3853 
 
 3911 
 
 3969 
 
 4027 
 
 4o85 
 
 42 
 
 i8 
 
 2921 
 
 2981 
 
 3o4i 
 
 3ioi 
 
 3i6i 
 
 322 1 
 
 4i 
 
 x8 
 
 4i43 
 
 4201 
 
 4259 
 
 43x6 4374 
 
 4432 
 
 4x 
 
 19 
 
 3281 
 
 3341 
 
 3401 
 
 3461 
 
 3521 
 
 358i 
 
 4o 
 
 19 
 
 4490 
 
 4548 
 
 4606 
 
 4664 
 
 4722 
 
 4780 
 
 40 
 
 20 
 
 9.6i364i 
 
 3701 
 
 3760 
 
 3820 
 
 388o 
 
 3940 
 
 39 
 
 20 
 
 9.634838 
 
 4896 
 
 4954 
 
 5oi I 
 
 5069 
 
 5i27 
 
 39 
 
 21 
 
 4ooo 
 
 4o6o 
 
 4l20 
 
 4i8o 
 
 4239 
 
 4299 
 
 38 
 
 21 
 
 5i85 
 
 5243 
 
 53oi 
 
 5359 
 
 5416 
 
 5474 
 
 38 
 
 22 
 
 4359 
 
 4419 
 
 4479 
 
 4539 
 
 4598 
 
 4658 
 
 37 
 
 22 
 
 5532 
 
 5590 
 
 5648 
 
 5706 
 
 5763 
 
 5821 
 
 37 
 
 ii3 
 
 4718 
 
 4778 
 
 4838 
 
 4897 
 
 4957 
 
 5oi7 
 
 36 
 
 23 
 
 5879 5937 
 
 5995 
 
 6o52 
 
 61 10 
 
 6168 
 
 36 
 
 24 
 
 5077 
 
 5i36 
 
 5196 
 
 5256 
 
 53x6 
 
 5375 
 
 35 
 
 24 
 
 6226 6283 
 
 634i 
 
 6399 
 
 6457 
 
 65x4 
 
 35 
 
 25 
 
 5435 
 
 5495 
 
 5555 
 
 56i4 
 
 5674 
 
 5734 
 
 34 
 
 25 
 
 6572 663o 
 
 6688 
 
 6745 
 
 68o3 
 
 6861 
 
 34 
 
 26 
 
 5793 
 
 5853 
 
 5913 
 
 5972 
 
 6o32 
 
 6092 
 
 33 
 
 26 
 
 6919 
 
 6976 
 
 7034 
 
 7092 
 
 7149 
 
 7207 
 
 33 
 
 27 
 
 6i5i 
 
 621 1 
 
 6271 
 
 633o 
 
 6390 
 
 645o 
 
 32 
 
 27 
 
 7265 
 
 7322 
 
 7380 
 
 7438 
 
 7495 
 
 7553 
 
 32 
 
 28 
 
 65o9 
 
 6569 
 
 6628 
 
 6688 
 
 6748 
 
 6807 
 
 3i 
 
 28 
 
 761 1 
 
 7668 
 
 7726 
 
 7783 
 
 7841 
 
 7899 
 
 3i 
 
 29 
 
 6867 
 
 6926 
 
 6986 
 
 7046 
 
 7105 
 
 7165 
 
 3o 
 
 29 
 
 7956 
 
 8ox4 
 
 8072 
 
 8129 
 
 8187 
 
 8244 
 
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 9.617224 
 
 7284 
 
 7343 
 
 74o3 
 
 7462 
 
 7522 
 
 29 
 
 3o 
 
 9.638302 
 
 8359 
 
 8417 
 
 8475 
 
 8532 
 
 8590 
 
 29 
 
 3i 
 
 7582 
 
 7641 
 
 7701 
 
 7760 
 
 7820 
 
 7879 
 
 28 
 
 3i 
 
 8647 
 
 8705 
 
 8762 
 
 8820 
 
 8877 
 
 8935 
 
 28 
 
 32 
 
 7939 
 
 7998 
 
 8057 
 
 81 17 
 
 8176 
 
 8236 
 
 27 
 
 32 
 
 8992 
 
 goSo 
 
 9107 
 
 9165 
 
 9222 
 
 9280 
 
 27 
 
 33 
 
 8295 
 
 8355 
 
 84i4 
 
 8474 
 
 8533 
 
 8593 
 
 26 
 
 33 
 
 9337 
 
 9395 
 
 9452 
 
 gSio 
 
 9567 
 
 9625 
 
 26 
 
 34 
 
 8652 
 
 8711 
 
 8771 
 
 883o 
 
 8890 
 
 8949 
 
 25 
 
 34 
 
 9682 
 
 9740 
 
 9797 
 
 9855 
 
 9912 
 
 9969 
 
 25 
 
 35 
 
 9008 
 
 9068 
 
 9127 
 
 9186 
 
 9246 
 
 93o5 
 
 24 
 
 35 
 
 9.640027 
 
 0084 
 
 0142 
 
 0199 
 
 0257 
 
 o3i4 
 
 24 
 
 36 
 
 9364 
 
 9424 
 
 9483 
 
 9543 
 
 9602 
 
 9661 
 
 23 
 
 36 
 
 0371 
 
 0429 
 
 o486 
 
 o544 
 
 0601 
 
 o658 
 
 23 
 
 37 
 
 9720 
 
 9780 
 
 9839 
 
 9898 
 
 9958 
 
 ..17 
 
 22 
 
 37 
 
 0716 
 
 0773 
 
 o83o 
 
 0888 
 
 0945 
 
 1002 
 
 22 
 
 38 
 
 9.620076 
 
 01 36 
 
 0195 
 
 0254 
 
 o3i3 
 
 0373 
 
 21 
 
 38 
 
 1060 
 
 X 1 17 
 
 1174 
 
 1232 
 
 1289 
 
 1 346 
 
 21 
 
 39 
 
 o432 
 
 0491 
 
 o55o 
 
 0610 
 
 0669 
 
 0728 
 
 20 
 
 39 
 
 i4o4 
 
 i46i 
 
 i5i8 
 
 1575 
 
 i633 
 
 1690 
 
 20 
 
 4o 
 
 9.620787 
 
 o846 
 
 0906 
 
 0965 
 
 1024 
 
 io83 
 
 19 
 
 40 
 
 9.641747 
 
 i8o5 
 
 1862 
 
 I9I9 
 
 1976 
 
 2o34 
 
 19 
 
 41 
 
 1 142 
 
 1201 
 
 1261 
 
 l320 
 
 i379 
 
 i438 
 
 18 
 
 4i 
 
 2091 
 
 2i48 
 
 22o5 
 
 2263 
 
 2320 
 
 2377 
 
 18 
 
 42 
 
 1497 
 
 i556 
 
 1616 
 
 1675 
 
 1734 
 
 1793 
 
 17 
 
 42 
 
 2434 
 
 2491 
 
 2549 
 
 2606 
 
 2663 
 
 2720 
 
 17 
 
 43 
 
 i852 
 
 191 1 
 
 1970 
 
 2029 
 
 2088 
 
 2l47 
 
 16 
 
 43 
 
 2777 
 
 2834 
 
 2892 
 
 2949 
 
 3oo6 
 
 3o63 
 
 16 
 
 44 
 
 2207 
 
 2266 
 
 2325 
 
 2384 
 
 2443 
 
 25o2 
 
 i5 
 
 44 
 
 3l20 
 
 3177 
 
 3235 
 
 3292 
 
 3349 
 
 3406 
 
 i5 
 
 45 
 
 256i 
 
 2620 
 
 2679 
 
 2738 
 
 2797 
 
 2856 
 
 i4 
 
 45 
 
 3463 
 
 3520 
 
 3577 
 
 3634 
 
 3691 
 
 3749 
 
 i4 
 
 46 
 
 2915 
 
 2974 
 
 3o33 
 
 3092 
 
 3i5i 
 
 32IO 
 
 i3 
 
 46 
 
 38o6 
 
 3863 
 
 3920 
 
 3977 
 
 4o34 
 
 4091 
 
 i3 
 
 47 
 
 3269 
 
 3328 
 
 3387 
 
 3446 
 
 35o5 
 
 3564 
 
 12 
 
 47 
 
 4x48 
 
 42o5 
 
 4262 
 
 4319 
 
 4376 
 
 4433 
 
 12 
 
 48 
 
 3623 
 
 3682 
 
 3741 
 
 38oo 
 
 3858 
 
 3917 
 
 1 1 
 
 48 
 
 4490 
 
 4547 
 
 46o4 
 
 466i 
 
 4718 
 
 4775 
 
 1 1 
 
 49 
 
 3976 
 
 4o35 
 
 4094 
 
 4x53 
 
 4212 
 
 4271 
 
 10 
 
 49 
 
 4832 
 
 4889 
 
 4946 
 
 5oo3 
 
 5o6o 
 
 5ii7 
 
 10 
 
 5o 
 
 9.624330 
 
 4388 
 
 4447 
 
 45o6 
 
 4565 
 
 4624 
 
 9 
 
 5o 
 
 9.645174 
 
 523i 
 
 5288 
 
 5345 
 
 5402 
 
 5459 
 
 9 
 
 5i 
 
 4683 
 
 4742 
 
 4800 
 
 4859 
 
 4918 
 
 4977 
 
 8 
 
 5i 
 
 55i6 
 
 5573 
 
 563o 
 
 5687 
 
 5744 
 
 58oi 
 
 8 
 
 52 
 
 5o36 
 
 5094 
 
 5i53 
 
 5212 
 
 5271 
 
 533o 
 
 7 
 
 52 
 
 5857 
 
 59x4 
 
 5971 
 
 6028 
 
 6o85 
 
 6142 
 
 7 
 
 53 
 
 5388 
 
 5447 
 
 55o6 
 
 5565 
 
 5623 
 
 5682 
 
 6 
 
 53 
 
 6199 6256 
 
 63i3 
 
 6369 
 
 6426 
 
 6483 
 
 6 
 
 54 
 
 5741 
 
 58oo 
 
 5858 
 
 5917 
 
 5976 
 
 6o35 
 
 5 
 
 54 
 
 654o|6597 
 
 6654 
 
 6710 
 
 6767 
 
 6824 
 
 5 
 
 55 
 
 6093 
 
 6i52 
 
 621 1 
 
 6269 
 
 6328 
 
 6387 
 
 4 
 
 55 
 
 6881 6938 
 
 6995 
 
 7o5i 
 
 7108 
 
 7i65 
 
 4 
 
 56 
 
 6445 
 
 65o4 
 
 6563 
 
 6621 
 
 6680 
 
 6739 
 
 3 
 
 56 
 
 7222 
 
 7279 
 
 7335 
 
 7392 
 
 7449 
 
 7506 
 
 3 
 
 57 
 
 6797 
 
 6856 
 
 6915 
 
 6973 
 
 7o32 
 
 7090 
 
 2 
 
 57 
 
 7562 
 
 7619 
 
 7676 
 
 7733 
 
 7789 
 
 7846 
 
 2 
 
 58 
 
 7149 
 
 7208 
 
 7266 
 
 7325 
 
 7383 
 
 7442 
 
 I 
 
 58 
 
 7903 
 
 7960 
 
 8016 
 
 8073 
 
 8i3o 
 
 8186 
 
 I 
 
 59 
 
 75oi 
 
 7559 
 
 7618 
 
 7676 
 
 7735 
 
 7793 
 
 
 
 59 
 
 8243 
 
 83oo 
 
 8356 
 
 84i3 
 
 8470 
 
 8526 
 
 
 
 
 60" 50" 1 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 Co-tangent of 67 Degrees. 
 
 Co-tangent of 66 Degrees. 
 
 P.l 
 
 
 
 ,„, j 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 ^"^(6 12 18 24 30 36 42 48 54 
 
 p p , J 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 i-.i-art^g 12 17 23 29 35 40 46 52 
 
48 
 
 
 
 
 LOGAKITHMIC SiNES, 
 
 
 
 
 
 
 3 
 
 o 
 
 Sine of 24 Degrees, 
 
 
 a 
 
 Sine of 25 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 9.609313 
 
 9361 
 
 9408 
 
 9455 
 
 9502 
 
 9550 
 
 59 
 
 
 
 9.625948 5993 
 
 6039 
 
 6084 
 
 6129 
 
 6174 
 
 59 
 
 I 
 
 9597 
 
 9644 
 
 9691 
 
 9739 
 
 9786 
 
 9833 
 
 58 
 
 1 
 
 62196264 
 
 63o9 
 
 6354 
 
 64oo 
 
 6445 
 
 58 
 
 o 
 
 9880 
 9.610164 
 
 9928 
 021 1 
 
 9975 
 0258 
 
 . . 22 
 
 . .60 
 
 .116 
 
 57 
 56 
 
 2 
 
 6490 6535 
 
 658o 
 
 6625 
 
 6670 
 
 6715 
 6985 
 
 57 
 56 
 
 3 
 
 o3o5 
 
 7 
 
 o352 
 
 0399 
 
 3 
 
 6760 
 
 68o5 
 
 685o 
 
 6895 
 
 6940 
 
 4 
 
 0447 
 
 0494 
 
 o54i 
 
 o588 
 
 o635 
 
 0682 
 
 55 
 
 4 
 
 7o3o 
 
 7075 
 
 7120 
 
 7165 
 
 7210 
 
 7255 
 
 55 
 
 5 
 
 0729 
 
 0776 
 
 0823 
 
 0871 
 
 0918 
 
 0965 
 
 54 
 
 5 
 
 7300 7345 
 
 7390 
 
 7435 
 
 7480 
 
 7525 
 
 54 
 
 6 
 
 1012 
 
 1059 
 
 1106 
 
 ii53 
 
 1200 
 
 1247 
 
 53 
 
 6 
 
 7570 7615 
 
 7660 
 
 7705 
 
 775o 
 
 7795 
 
 53 
 
 7 
 
 1294 
 
 i34i 
 
 i388 
 
 1435 
 
 1482 
 
 i529 
 
 52 
 
 7 
 
 7840 
 
 7885 
 
 7929 
 
 7974 
 
 8019 
 
 8064 
 
 52 
 
 8 
 
 1576 
 
 1623 
 
 1670 
 
 1717 
 
 1764 
 
 1811 
 
 5i 
 
 8 
 
 8109 
 
 8i54 
 
 8199 
 
 8244 
 
 8289 
 
 8333 
 
 5i 
 
 9 
 
 i858 
 
 1905 
 
 1952 
 
 1999 
 
 2o46 
 
 2093 
 
 5o 
 
 9 
 
 83788423 
 
 8468 
 
 85i3 
 
 8558 
 
 8602 
 
 5o 
 
 10 
 
 9,6i2i4o 
 
 2187 
 
 2234 
 
 2280 
 
 2327 
 
 2374 
 
 49 
 
 10 
 
 9,628647 8692 
 
 8737 
 
 8782 
 
 8826 
 
 8871 
 
 49 
 
 II 
 
 2421 
 
 2468 
 
 25i5 
 
 2562 
 
 2609 
 
 2655 
 
 48 
 
 II 
 
 8916 8961 
 
 9006 
 
 9o5o 
 
 9095 
 
 9140 
 
 48 
 
 12 
 
 2702 
 
 2749 
 
 2796 
 
 2843 
 
 2890 
 
 2936 
 
 47 
 
 12 
 
 9185 
 
 9229 
 
 9274 
 
 9319 
 
 9363 
 
 9408 
 
 47 
 
 i3 
 
 2983 
 
 3o3o 
 
 3077 
 
 3i24 3i7i| 
 
 3217 
 
 46 
 
 i3 
 
 9453 
 
 9498 
 
 9542 
 
 9587 
 
 9632 
 
 9676 
 
 46 
 
 i4 
 
 3264 
 
 33ii 
 
 3358 
 
 34o4 
 
 345 1 
 
 3498 
 
 45 
 
 i4 
 
 9721 
 
 9766 
 
 9810 
 
 9855 
 
 9900 
 
 9944 
 
 45 
 
 i5 
 
 3545 
 
 3591 
 
 3638 
 
 3685 
 
 3732 
 
 3778 
 
 44 
 
 i5 
 
 9989 
 
 ,,34 
 
 .,78 
 
 .123 
 
 .168 
 
 .212 
 
 44 
 
 i6 
 
 3825 
 
 3872 
 
 3918 
 
 3965 
 
 4oi2 
 
 4o58 
 
 43 
 
 16 
 
 9.630257 
 
 o3oi 
 
 o346 
 
 0391 
 
 0435 
 
 o48o 
 
 43 
 
 I? 
 
 4io5 
 
 4i52 
 
 4198 
 
 4245 
 
 4292 
 
 4338 
 
 42 
 
 17 
 
 o524|o569 
 
 o6i3 
 
 o658 
 
 0703 
 
 0747 
 
 42 
 
 i8 
 
 4385 
 
 4432 
 
 447B 
 
 4525 
 
 4571 
 
 4618 
 
 4i 
 
 18 
 
 0792 o836 
 
 0881 
 
 0925 
 
 0970 
 
 ioi4 
 
 4i 
 
 ^9 
 
 4665 
 
 4711 
 
 4758 
 
 48o4 
 
 485i 
 
 4898 
 
 40 
 
 19 
 
 io59|iio3 
 
 ii48 
 
 1192 
 
 1237 
 
 1281 
 
 4o 
 
 20 
 
 g. 614944 
 
 4991 
 
 5o37 
 
 5o84 
 
 5i3o 
 
 5177 
 
 39 
 
 20 
 
 9.63i326ii37o 
 
 i4i5 
 
 1459 
 
 i5o4 
 
 1 548 
 
 39 
 
 21 
 
 5223 
 
 5270 
 
 53i6 
 
 5363 
 
 5409 
 
 5456 
 
 38 
 
 21 
 
 1593 
 
 1637 
 
 1681 
 
 1726 
 
 1770 
 
 i8i5 
 
 38 
 
 22 
 
 55o2 
 
 5549 
 
 5595 
 
 5642 
 
 5688 
 
 5735 
 
 37 
 
 22 
 
 1859 
 
 1904 
 
 1948 
 
 1992 
 
 2037 
 
 2081 
 
 37 
 
 23 
 
 5781 
 
 5828 
 
 5874 
 
 5921 
 
 5967 
 
 60 1 3 
 
 36 
 
 23 
 
 2125 
 
 2170 
 
 2214 
 
 2259 
 
 23o3 
 
 2347 
 
 36 
 
 24 
 
 6060 
 
 6106 
 
 6i53 
 
 6199 
 
 6245 
 
 6292 
 
 35 
 
 24 
 
 2392 
 
 2436 
 
 2480 
 
 2525 
 
 2569 
 
 2613 
 
 35 
 
 25 
 
 6338 
 
 6385 
 
 643i 
 
 6477 
 
 6524 
 
 6570 
 
 34 
 
 25 
 
 2658 2702 
 
 2746 
 
 2790 
 
 2835 
 
 2879 
 
 34 
 
 26 
 
 6616 
 
 6663 
 
 6709 
 
 6755 
 
 6802 
 
 6848 
 
 33 
 
 26 
 
 2923 
 
 2968 
 
 3oi2 
 
 3o56 
 
 3ioo 
 
 3i45 
 
 33 
 
 27 
 
 6S94 
 
 6941 
 
 6987 
 
 7033 
 
 7080 
 
 7126 
 
 32 
 
 27 
 
 3189 
 
 3233 
 
 3277 
 
 3322 
 
 3366 
 
 34io 
 
 32 
 
 2S 
 
 7172 
 
 7218 
 
 7265 
 
 73n 
 
 7357 
 
 74o3 
 
 3i 
 
 28 
 
 3454 
 
 3498 
 
 3543 
 
 3587 
 
 363i 
 
 3675 
 
 3i 
 
 29 
 
 745o 
 
 7496 
 
 7542 
 
 7588 
 
 7635 
 
 7681 
 
 3o 
 
 29 
 
 3719 
 
 3764 
 
 38o8 
 
 3852 
 
 3896 
 
 3940 
 
 3o 
 
 3o 
 
 9.617727 
 
 7773 
 
 7819 
 
 7866 
 
 7912 
 
 7958 
 
 29 
 
 3o 
 
 9.633984 
 
 4028 
 
 4073 
 
 4n7 
 
 4t6i 
 
 42o5 
 
 29 
 
 3i 
 
 8oo4 
 
 8o5o 
 
 8096 
 
 8143 
 
 8189 
 
 8235 
 
 28 
 
 3i 
 
 4249-4293 
 
 4337 
 
 438i 
 
 4426 
 
 4470 
 
 28 
 
 32 
 
 8281 
 
 8327 
 
 8373 
 
 8419 
 
 8465 
 
 85i2 
 
 27 
 
 32 
 
 45i4;4558 
 
 4602 
 
 4646 
 
 4690 
 
 4734 
 
 27 
 
 33 
 
 8558 
 
 86o4 
 
 865o 
 
 8696 
 
 8742 
 
 8788 
 
 26 
 
 33 
 
 4778'4822 
 
 4866 
 
 4910 
 
 4954 
 
 4998 
 
 26 
 
 34 
 
 8834 
 
 8880 
 
 8926 
 
 8972 
 
 9018 
 
 9064 
 
 25 
 
 34 
 
 5o42'5o86 
 
 5i3o 
 
 5174 
 
 5218 
 
 5262 
 
 25 
 
 35 
 
 9110 
 
 9i56 
 
 9202 
 
 9248 
 
 9294 
 
 9340 
 
 24 
 
 35 
 
 53o6,535o 
 
 5394 
 
 5438 
 
 5482 
 
 5526 
 
 24 
 
 36 
 
 9386 
 
 9432 
 
 9478 
 
 9524 
 
 9570 
 
 9616 
 
 23 
 
 36 
 
 55705614 
 
 5658 
 
 5702 
 
 5746 
 
 5790 
 
 23 
 
 37 
 
 9662 
 
 9708 
 
 9754 
 
 9800 
 
 9846 
 
 9892 
 
 22 
 
 37 
 
 5834:5877 
 
 5921 
 
 5965 6009 
 
 6o53 
 
 22 
 
 38 
 
 9938 
 
 99^4 
 
 . .3o 
 
 ..76 
 
 .121 
 
 .167 
 
 21 
 
 38 
 
 6097 6i4i 
 
 6i85 
 
 6229 6272 
 
 63i6 
 
 21 
 
 39 
 
 9 .620213 
 
 0259 
 
 o3o5 
 
 o35i 
 
 0397 
 
 0443 
 
 20 
 
 39 
 
 636o 64o4 
 
 6448 
 
 649216535 
 
 6579 
 
 20 
 
 4o 
 
 9.620488 
 
 o534 
 
 o58o 
 
 0626 
 
 0672 
 
 0718 
 
 19 
 
 4o 
 
 9.636623,6667 
 
 671 1 
 
 67546798 
 
 6842 
 
 '9 
 
 4i 
 
 0763 
 
 0809 
 
 o855 
 
 0901 
 
 0947 
 
 0992 
 
 18 
 
 4i 
 
 68866930 
 
 6973 
 
 7017 
 
 7061 
 
 7105 
 
 18 
 
 42 
 
 io38 
 
 io84 
 
 I i3o 
 
 1175 
 
 1221 
 
 1267 
 
 17 
 
 42 
 
 7148 7192 
 
 7236 
 
 7280 
 
 7323 
 
 7367 
 
 17 
 
 43 
 
 i3i3 
 
 i358 
 
 i4o4 
 
 i45o 
 
 1496 
 
 i54i 
 
 16 
 
 43 
 
 741 1 7455 
 
 7498 
 
 7542 
 
 7586 
 
 7629 
 
 16 
 
 44 
 
 i587 
 
 i633 
 
 1678 
 
 1724 
 
 1770 
 
 1816 
 
 i5 
 
 44 
 
 76737717 
 
 7760 
 
 780417848 
 
 7891 
 
 i5 
 
 45 
 
 1 86 1 
 
 1907 
 
 1953 
 
 1998 
 
 2o44 
 
 2089 
 
 i4 
 
 45 
 
 7935|7979 
 
 8022 
 
 8066 
 
 8110 
 
 8i53 
 
 i4 
 
 46 
 
 2i35 
 
 2 181 
 
 2226 
 
 2272 
 
 23i8 
 
 2363 
 
 i3 
 
 46 
 
 819718240 
 
 8284 
 
 8328 
 
 8371 
 
 84i5 
 
 i3 
 
 47 
 
 2409 
 
 2454 
 
 25oo 
 
 2546 
 
 2591 
 
 2637 
 
 12 
 
 47 
 
 84588502 
 
 8546 
 
 8589 
 
 8633 
 
 8676 
 
 12 
 
 48 
 
 2682 
 
 2728 
 
 2773 
 
 2819 
 
 2865 
 
 2910 
 
 11 
 
 48 
 
 8720 8763 
 
 8807 
 
 885i 
 
 8894 
 
 8938 
 
 II 
 
 49 
 
 2936 
 
 3ooi 
 
 3o47 
 
 3092 
 
 3i38 
 
 3i83 
 
 10 
 
 49 
 
 8981 9025 
 
 9068 
 
 91 12 
 
 9i55 
 
 9199 
 
 10 
 
 5o 
 
 9.623229 
 
 3274 
 
 3320 
 
 3365 
 
 34ii 
 
 3456 
 
 9 
 
 5o 
 
 9.639242 9286 
 
 9329 
 
 9373 
 
 9416 
 
 9460 
 
 9 
 
 5i 
 
 35o2 
 
 3547 
 
 3593 
 
 3638 
 
 3683 
 
 3729 
 
 8 
 
 5i 
 
 gSoS 9546 
 
 9590 
 
 9633 
 
 9677 
 
 9720 
 
 8 
 
 52 
 
 3774 
 
 3820 
 
 3865 
 
 3911 
 
 3956 
 
 4ooi 
 
 7 
 
 52 
 
 9764 9807 
 
 985i 
 
 9894 
 
 9937 
 
 9981 
 
 7 
 
 53 
 
 4o47 
 
 4092 
 
 4i38 
 
 4i83 
 
 4228 
 
 4274 
 
 6 
 
 53 
 
 9.640024 0068 
 
 OIII 
 
 oi54 
 
 0198 
 
 0241 
 
 6 
 
 54 
 
 4319 
 
 4364 
 
 44io 
 
 4455 
 
 45oo 
 
 4546 
 
 5 
 
 54 
 
 o284!o328 
 
 0371 
 
 o4i4 
 
 o458 
 
 o5oi 
 
 5 
 
 55 
 
 4591 
 
 4636 
 
 4682 
 
 4727 
 
 4772 
 
 4818 
 
 4 
 
 55 
 
 o544lo588 
 
 06 3 1 
 
 0674 
 
 0718 
 
 0761 
 
 4 
 
 56 
 
 4863 
 
 4908 
 
 4954 
 
 4999 
 
 5 044 
 
 5089 
 
 3 
 
 56 
 
 o8o4o848 
 
 0891 
 
 0934 
 
 0978 
 
 1 02 1 
 
 3 
 
 57 
 
 5i35 
 
 5i8o 
 
 5225 
 
 5270 
 
 53i6 
 
 536i 
 
 2 
 
 57 
 
 1064 1 107 
 
 I i5i 
 
 1 1 94 
 
 1237 
 
 1280 
 
 2 
 
 58 
 
 5406 
 
 545i 
 
 5496 
 
 5542 
 
 5587 
 
 5632 
 
 I 
 
 58 
 
 i324 i367 
 
 i4io 
 
 1453 
 
 1496 
 
 1 540 
 
 I 
 
 59 
 
 5677 
 
 5722 
 
 5768 
 
 58i3 
 
 5858 
 
 5903 
 
 
 
 59 
 
 i583 1626 
 
 1669 
 
 1712 
 
 1756 
 
 1799 
 
 
 
 
 00" 
 
 .50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 
 60" 1 .50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 Co-sine of 65 Degrees, 
 
 Co-sine of 64 Degrees, 
 
 P P, f J 1" 2" 3" 4" 5" 6" 7" 8" 
 ■ * 1 5 9 14 18 23 28 32 37 4 
 
 9" 
 
 [2 
 
 p „ , j 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 ni art ^ ^ 9 13 18 22 26 31 35 40 
 

 
 
 
 L OGARITHMIC 
 
 Tangents. 
 
 
 
 
 49 
 
 s 
 
 o 
 
 Tangent of 24 Degrees. 
 
 
 s 
 
 Tangent of 25 Degrees. 
 
 
 0" 10" 
 
 20" 
 
 30" 1 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 9.648583 8640 
 
 8696 
 
 8753 
 
 8810 
 
 8866 59 
 
 
 
 9.6686738728 
 
 8782 
 
 8837 
 
 8892 
 
 8947 
 
 59 
 
 I 
 
 8923 8980 
 
 9o36 
 
 9093 
 
 9i5o 
 
 920658 
 
 I 
 
 9002 
 
 9057 
 
 9112 
 
 9167 
 
 9222 
 
 9277 
 
 58 
 
 2 
 
 9263 9319 
 
 9376 
 
 9433I9489 
 
 9546,57 
 
 
 
 93329387 
 
 9442 
 
 9497 
 
 9552 
 
 9606 
 
 57 
 
 3 
 
 9602 
 
 9659 
 
 9715I9772 9829 
 
 9885 
 
 56 
 
 3 
 
 9661 9716 
 
 9771 
 
 9826 
 
 9881 
 
 9936 
 
 56 
 
 / 
 4 
 
 9942 
 
 9998 
 
 ..55 
 
 .iiij.i68 
 
 .224 
 
 55 
 
 4 
 
 9991 
 
 ..45 
 
 . 100 
 
 .i55 
 
 .210 
 
 .265 
 
 55 
 
 5 
 
 9.650281 
 
 0337 
 
 0394 
 
 o45o 
 
 o5o7 
 
 o563 
 
 54 
 
 5 
 
 9.670320 
 
 0375 
 
 0429 
 
 o484 
 
 0539 
 
 0594 
 
 54 
 
 G 
 
 0620 
 
 0676 
 
 0733 
 
 0789 
 
 o846 
 
 0902 
 
 53 
 
 6 
 
 o649'o7o3 
 
 0758 
 
 o8i3 
 
 0868 
 
 0923 
 
 53 
 
 7 
 
 0959 
 
 ioi5 
 
 1072 
 
 1128 
 
 ii85 
 
 I24l 
 
 52 
 
 7 
 
 0977 io32 
 
 1087 
 
 1 142 
 
 II97 
 
 125l 
 
 52 
 
 8 
 
 1297 
 
 i354 
 
 i4io 
 
 1467 
 
 i523 
 
 1579 
 
 5i 
 
 8 
 
 i3o6[i36i 
 
 i4i6 
 
 1470 
 
 i525 
 
 i58o 
 
 5i 
 
 9 
 
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 1692 
 
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 i86i 
 
 1918 
 
 5o 
 
 9 
 
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 1908 
 
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 9.65i974 
 
 203l 
 
 2087 
 
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 2200 
 
 2256 
 
 49 
 
 10 
 
 g. 671963^2018 
 
 2072 
 
 2127 
 
 2182 
 
 2236 
 
 49 
 
 1 1 
 
 23l2 
 
 2369 
 
 2425 
 
 2481 
 
 2538 
 
 2594 
 
 48 
 
 1 1 
 
 2291 2346 
 
 2400 
 
 2455 
 
 25l0 
 
 2564 
 
 48 
 
 12 
 
 265o 
 
 2707 
 
 2763 
 
 2819 
 
 2875 
 
 2932 
 
 47 
 
 12 
 
 2619 2674 
 
 2728 
 
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 2838 
 
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 2988 
 
 3o44 
 
 3ioi 
 
 3i57 
 
 32i3 
 
 3269 
 
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 2947 3ooi 
 
 3o56 
 
 3iii 
 
 3i65 
 
 3220 
 
 46 
 
 i4 
 
 3326 
 
 3382 
 
 343s 
 
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 45 
 
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 3274 3329 
 
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 3438 
 
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 4337 
 
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 9-655348 
 
 54o4 
 
 5460 
 
 55i6 
 
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 39 
 
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 5346 
 
 5401 
 
 5455 
 
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 39 
 
 21 
 
 5684 
 
 5740 
 
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 5964 
 
 38 
 
 21 
 
 5564 56i8 
 
 5673 
 
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 5781 
 
 5836 
 
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 22 
 
 6020 
 
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 6i32 
 
 6188 
 
 6244 
 
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 37 
 
 22 
 
 5890 5945 
 
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 6108 
 
 6162 
 
 37 
 
 23 
 
 6356 
 
 64i2 
 
 6468 
 
 6524 
 
 658o 
 
 6636 
 
 36 
 
 23 
 
 6217 6271 
 
 6325 
 
 638o 
 
 6434 
 
 6488 
 
 36 
 
 24 
 
 6692 
 
 6748 
 
 6804 
 
 6860 
 
 6916 
 
 6972 
 
 35 
 
 24 
 
 6543 6597 
 
 665i 
 
 6706 
 
 6760 
 
 68i4 
 
 35 
 
 25 
 
 7028 
 
 7084 
 
 7140 
 
 7196 
 
 7252 
 
 7308 
 
 34 
 
 25 
 
 6869 
 
 6923 
 
 6977 
 
 7032 
 
 7086 
 
 7140 
 
 34 
 
 26 
 
 7364 
 
 7419 
 
 7475 
 
 7531 
 
 7587 
 
 7643 
 
 33 
 
 26 
 
 7194 
 
 7249 
 
 73o3 
 
 7357 
 
 74l2 
 
 7466 
 
 33 
 
 27 
 
 7699 
 
 7755 
 
 7811 
 
 7867 
 
 7922 
 
 7978 
 
 32 
 
 27 
 
 7520 
 
 7574 
 
 7629 
 
 7683 
 
 7737 
 
 7791 
 
 32 
 
 28 
 
 8o34 
 
 8090 
 
 8i46 
 
 8202 
 
 8258 
 
 83i3 
 
 3i 
 
 28 
 
 7846 
 
 7900 
 
 7954 
 
 8008 
 
 8062 
 
 8117 
 
 3i 
 
 29 
 
 8369 
 
 8425 
 
 848 1 
 
 8537 
 
 8592 
 
 8648 
 
 3o 
 
 29 
 
 8171 
 
 8225 
 
 8279 
 
 8334 
 
 8388 
 
 8442 
 
 3o 
 
 3o 
 
 9.658704 
 
 8760 
 
 8816 
 
 8871 
 
 8927 
 
 8983 
 
 29 
 
 3o 
 
 9.678496 
 
 855o 
 
 8604 
 
 8659 
 
 8713 
 
 8767 
 
 29 
 
 3i 
 
 9039 
 
 9095 
 
 9i5o 
 
 9206 
 
 9262 
 
 9318 
 
 28 
 
 3i 
 
 8821 
 
 8875 
 
 8929 
 
 8984 
 
 9o38 
 
 9092 
 
 28 
 
 32 
 
 9373 
 
 9429 
 
 9485 
 
 9540 
 
 9596 
 
 9652 
 
 27 
 
 32 
 
 9146 
 
 9200 
 
 9254 
 
 9308 
 
 9363 
 
 9417 
 
 27 
 
 33 
 
 9708 
 
 9763 
 
 9819 
 
 9875 
 
 9930 
 
 9986 
 
 26 
 
 33 
 
 9471 
 
 9525 
 
 9579 
 
 9633 
 
 9687 
 
 9741 
 
 26 
 
 34 
 
 9.660042 
 
 0098 
 
 oi53 
 
 0209 
 
 0265 
 
 o32o 
 
 25 
 
 34 
 
 9795 
 
 9849 
 
 9904 
 
 9958 
 
 . .12 
 
 ..66 
 
 25 
 
 35 
 
 0376 
 
 o43i 
 
 0487 
 
 o543 
 
 0598 
 
 o654 
 
 24 
 
 35 
 
 9.680120 
 
 0174 
 
 0228 
 
 0282 
 
 o336 
 
 oSgo 
 
 24 
 
 36 
 
 0710 
 
 0765 
 
 0821 
 
 0877 
 
 0932 
 
 0988 
 
 23 
 
 36 
 
 0444 
 
 0498 
 
 o552 
 
 0606 
 
 0660 
 
 0714 
 
 23 
 
 37 
 
 1043 
 
 1099 
 
 ii55 
 
 1210 
 
 1266 
 
 l32I 
 
 22 
 
 37 
 
 0768 
 
 0822 
 
 0876 
 
 0930 
 
 0984 
 
 io38 
 
 22 
 
 38 
 
 1377 
 
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 i488 
 
 1 544 
 
 1599 
 
 i655 
 
 21 
 
 38 
 
 1092 
 
 ii46 
 
 1200 
 
 1254 
 
 i3o8 
 
 i362 
 
 21 
 
 39 
 
 1710 
 
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 1821 
 
 1877 
 
 1932 
 
 1988 
 
 20 
 
 39 
 
 i4i6ji47o 
 
 i524 
 
 1578 
 
 i632 
 
 1686 
 
 20 
 
 4o 
 
 9.662043 
 
 2099 
 
 2i54 
 
 2210 
 
 2265 
 
 2321 
 
 19 
 
 4o 
 
 9.681740 
 
 1794 
 
 1847 
 
 1901 
 
 1955 
 
 2009 
 
 '9 
 
 4i 
 
 2376 
 
 2432 
 
 2487 
 
 2543 
 
 2598 
 
 2654 
 
 18 
 
 4i 
 
 2o63 
 
 2117 
 
 2171 
 
 2225 
 
 2279 
 
 2333 
 
 i8 
 
 42 
 
 2709 
 
 2765 
 
 2820 
 
 2876 
 
 2931 
 
 2987 
 
 17 
 
 42 
 
 2387 
 
 2440 
 
 2494 
 
 2548 
 
 2602 
 
 2656 
 
 17 
 
 43 
 
 3o42 
 
 3097 
 
 3i53 
 
 3208 
 
 3264 
 
 3319 
 
 16 
 
 43 
 
 2710 
 
 2764 
 
 2817 
 
 2871 
 
 2925 
 
 2979 
 
 16 
 
 44 
 
 3375 
 
 343o 
 
 3485 
 
 3541 
 
 3596 
 
 365i 
 
 i5 
 
 44 
 
 3o33 
 
 3087 
 
 3i4o 
 
 3194 
 
 3248 
 
 33o2 
 
 i5 
 
 45 
 
 3707 
 
 3762 
 
 38i8 
 
 3873 
 
 3928 
 
 3984 
 
 i4 
 
 45 
 
 3356 
 
 3410 
 
 3463 
 
 35i7 
 
 3571 
 
 3625 
 
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 46 
 
 4o39 
 
 4094 
 
 4i5o 
 
 42o5 
 
 4260 
 
 43i6 
 
 i3 
 
 46 
 
 3679 
 
 3732 
 
 3786 
 
 384o 
 
 3894 
 
 3947 
 
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 47 
 
 4371 
 
 4426 
 
 4482 
 
 4537 
 
 4592 
 
 4648 
 
 12 
 
 47 
 
 4ooi 
 
 4o55 
 
 4109 
 
 4162 
 
 4216 
 
 4270 
 
 12 
 
 48 
 
 4703 
 
 4758 
 
 48i4 
 
 4869 
 
 4924 
 
 4979 
 
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 48 
 
 4324 
 
 4377 
 
 443 1 
 
 4485 
 
 4539 
 
 4592 
 
 II 
 
 49 
 
 5o35 
 
 5090 
 
 5i45 
 
 5200 
 
 5256 
 
 53ii 
 
 10 
 
 49 
 
 4646 
 
 4700 
 
 4753 
 
 4807 
 
 4861 
 
 4914 
 
 10 
 
 5o 
 
 9.665366 
 
 5421 
 
 5477 
 
 5532 
 
 5587 
 
 5642 
 
 9 
 
 5o 
 
 9.684968 
 
 5022 
 
 5075 
 
 5129 
 
 5i83 
 
 5236 
 
 9 
 
 5i 
 
 5698 
 
 5753 
 
 58o8 
 
 5863 
 
 5918 
 
 5974 
 
 8 
 
 5i 
 
 5290 
 
 5344 
 
 5397 
 
 545i 
 
 55o5 
 
 5558 
 
 8 
 
 52 
 
 6029 
 
 6084 
 
 6139 
 
 6194 
 
 6249 
 
 63o5 
 
 7 
 
 52 
 
 56i2 
 
 5666 
 
 5719 
 
 5773 
 
 5827 
 
 588o 
 
 7 
 
 53 
 
 636o 
 
 64i5 
 
 6470 
 
 6525 
 
 658o 
 
 6636 
 
 6 
 
 53 
 
 5934 
 
 5987 
 
 6o4i 
 
 6095 
 
 6i48 
 
 6202 
 
 6 
 
 54 
 
 6691 
 
 6746 
 
 6801 
 
 6856 
 
 691 1 
 
 6966 
 
 5 
 
 54 
 
 62556309 
 
 6363 
 
 64i6 
 
 6470 
 
 6523 
 
 5 
 
 55 
 
 7021 
 
 7076 
 
 7i32 
 
 7187 
 
 7242 
 
 7297 
 
 4 
 
 55 
 
 6577I6630 
 
 6684 
 
 6737 
 
 6791 
 
 6845 
 
 4 
 
 56 
 
 7352 
 
 7407 
 
 7462 
 
 7517 
 
 7572 
 
 7627 
 
 3 
 
 56 
 
 6898 
 
 6952 
 
 7005 
 
 7059 
 
 71 12 
 
 7166 
 
 3 
 
 57 
 
 7682 
 
 7737 
 
 7792 
 
 7847 
 
 7903 
 
 7958 
 
 2 
 
 57 
 
 7219 
 
 7273 
 
 7326 
 
 7380 
 
 7433 
 
 7487 
 
 2 
 
 58 
 
 8oi3 
 
 806B 
 
 8123 
 
 8178 
 
 8233 
 
 8288 
 
 I 
 
 58 
 
 7540 
 
 7594 
 
 7647 
 
 7701 
 
 7754 
 
 7808 
 
 I 
 
 59 
 
 8343 
 
 8398 
 
 8453 
 
 85o8 
 
 8563 
 
 8618 
 
 
 
 59 
 
 7861 
 
 79x5 
 
 7968 
 
 8021 
 
 8075 
 
 8128 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 d 
 
 Co-tangent of 65 Degrees. 
 
 Co-tangent of 64 Degrees. 
 
 P. 
 
 P„J 1" 2" ?>" 4" 5" 6" 7" 8" 9" 
 '*"/ 6 11 17 22 28 33 39 45 50 
 
 p p J 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 f. faring 11 16 22 27 33 38 43 49 
 
 _^ -^ — 1 
 
 r\ 
 
50 
 
 LOGAKITHMIC SiNES. 
 
 a 
 
 Sine of 26 Degrees. 
 
 
 
 Sine of 27 Degrees. 
 
 
 0" • 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 
 
 9.641842 
 
 i885 
 
 1928 
 
 1971 
 
 20l5 
 
 2o58 
 
 59 
 
 
 
 9.657047 
 
 7088 
 
 7129 
 
 7171 
 
 7212 
 
 7253 
 
 59 
 
 I 
 
 2I01 
 
 2 1 44 
 
 2187 
 
 223o 
 
 2273 
 
 '2317 
 
 58 
 
 I 
 
 7295 
 
 7336 
 
 7377 
 
 7418 
 
 7460 
 
 75oi 
 
 58 
 
 2 
 
 236o 
 
 24o3 
 
 2446 
 
 2489 
 
 2532 
 
 2575 57 
 
 2 
 
 7542 
 
 7584 
 
 7625 
 
 7666 
 
 7707'7749 
 
 57 
 
 3 
 
 2618 
 
 2661 
 
 2704 
 
 2747 
 
 2790 
 
 283356 
 
 3 
 
 7790 
 
 783i 
 
 7872 
 
 7913 
 
 7955 7996 
 
 56 
 
 4 
 
 2877 
 
 2920 
 
 2963 
 
 3oo6 
 
 3o49 
 
 3092 
 
 55 
 
 4 
 
 8037 
 
 8078 
 
 8119 
 
 8I6I 
 
 8202 8243 
 
 55 
 
 5 
 
 3i35 
 
 3178 
 
 3221 
 
 3264 
 
 3307 
 
 335o54 
 
 5 
 
 8284 
 
 8325 
 
 8367 
 
 84o8 
 
 84488490 
 
 54 
 
 6 
 
 3393 
 
 3436 
 
 3479 
 
 3522 
 
 3565 
 
 3607 53 
 
 6 
 
 853i 
 
 8572 
 
 86i3 
 
 8655 
 
 8696^8737 
 
 53 
 
 7 
 
 365o 
 
 3693 
 
 3736 
 
 3779 
 
 3822 
 
 3865 52 
 
 7 
 
 8778 
 
 8819 
 
 8860 
 
 8901 
 
 89428983 
 
 52 
 
 ' 8 
 
 3908 
 
 3951 
 
 3994 
 
 4o37 
 
 4o8o 
 
 4i23 5i 
 
 8 
 
 9025 
 
 9066 
 
 9107 
 
 9148 
 
 9189 9230 
 
 5i 
 
 9 
 
 4i65 
 
 4208 
 
 425i 
 
 4294 
 
 4337 
 
 438o 5o 
 
 9 
 
 9271 
 
 9312 
 
 9353 
 
 9394 
 
 94359476 
 
 5o 
 
 lO 
 
 9.644423 
 
 4465 
 
 45o8 
 
 455i 
 
 4594 
 
 4637 49 
 
 10 
 
 9.659517 
 
 9558 
 
 9599 
 
 9640 
 
 9681 9722 
 
 49 
 
 II 
 
 4680 
 
 4722 
 
 4765 
 
 4808 
 
 485i 
 
 4894148 
 
 II 
 
 9763 
 
 9804 
 
 9845 
 
 9886 
 
 992719968 
 
 48 
 
 12 
 
 4936 
 
 4979 
 
 5o22 
 
 5o65 
 
 5io8 
 
 5i5o 
 
 47 
 
 12 
 
 9.660009 
 
 oo5o 
 
 0091 
 
 Ol32 
 
 0173 
 
 0214 
 
 47 
 
 i3 
 
 6193 
 
 5236 
 
 5279 
 
 5321 
 
 5364 
 
 5407 
 
 46 
 
 i3 
 
 0255 
 
 0296 
 
 0337 
 
 0378 
 
 0419 
 
 o46o 
 
 46 
 
 i4 
 
 545o 
 
 5492 
 
 5535 
 
 5578 
 
 5620 
 
 5663 
 
 45 
 
 i4 
 
 o5oi 
 
 o54i 
 
 o582 
 
 0623 
 
 0664 
 
 0705 
 
 45 
 
 i5 
 
 5706 
 
 5749 
 
 5791 
 
 5834 
 
 5877 
 
 5919 
 
 44 
 
 i5 
 
 0746 
 
 0787 
 
 0828 
 
 0869 
 
 0909 
 
 0950 
 
 44 
 
 i6 
 
 5962 
 
 6oo5 
 
 6o47 
 
 6090 
 
 6i33 
 
 6175 
 
 43 
 
 16 
 
 0991 
 
 io32 
 
 1073 
 
 II i4 
 
 1 1 54 
 
 1195 
 
 43 
 
 I? 
 
 6218 
 
 6260 
 
 63o3 
 
 6346 
 
 6388 
 
 643i 
 
 42 
 
 17 
 
 1236 
 
 1277 
 
 i3i8 
 
 1359 
 
 1399 
 
 i44o 
 
 42 
 
 i8 
 
 6474 
 
 65i6 
 
 6559 
 
 6601 
 
 6644 
 
 6686 
 
 4i 
 
 18 
 
 i48i 
 
 l522 
 
 i563 
 
 i6o3 
 
 1 644 
 
 i685 
 
 4i 
 
 '9 
 
 6729 
 
 6772 
 
 68i4 
 
 6857 
 
 6899 
 
 6942 
 
 4o 
 
 19 
 
 1726 
 
 1766 
 
 1807 
 
 i848 
 
 1889 
 
 1929 
 
 4o 
 
 20 
 
 9.646984 
 
 7027 
 
 7069 
 
 7112 
 
 7154 
 
 7197 
 
 39 
 
 20 
 
 9.661970 
 
 201 I 
 
 2052 
 
 2092 
 
 2i33 
 
 2174 
 
 39 
 
 21 
 
 7240 
 
 7282 
 
 7325 
 
 7367 
 
 7409 
 
 7452 
 
 38 
 
 21 
 
 2214 
 
 2255 
 
 2296 
 
 2337 
 
 2377 
 
 24i8 
 
 38 
 
 22 
 
 7494 
 
 7537 
 
 7579 
 
 7622 
 
 7664 
 
 7707 
 
 37 
 
 22 
 
 2459 
 
 2499 
 
 2540 
 
 258i 
 
 2621 
 
 2662 
 
 37 
 
 23 
 
 7749 
 
 7792 
 
 7834 
 
 7877 
 
 7919 
 
 7961 
 
 36 
 
 23 
 
 2703 
 
 2743 
 
 2784 
 
 2825 
 
 2865 
 
 2906 
 
 36 
 
 24 
 
 8oo4 
 
 3o46 
 
 8089 
 
 8i3i 
 
 8173 
 
 8216 
 
 35 
 
 24 
 
 2946 
 
 2987 
 
 3028 
 
 3o68 
 
 3109 
 
 3i49 
 
 35 
 
 25 
 
 8258 
 
 83oi 
 
 8343 
 
 8385 
 
 8428 
 
 8470 
 
 34 
 
 25 
 
 3190 
 
 323i 
 
 3271 
 
 33i2 
 
 3352 
 
 3393 
 
 34 
 
 26 
 
 85i2 
 
 8555 
 
 8597 
 
 8639 
 
 8682 
 
 8724 
 
 33 
 
 26 
 
 3433 
 
 3474 
 
 35i5 
 
 3555 
 
 3596 
 
 3636 
 
 33 
 
 27 
 
 8766 
 
 8809 
 
 885i 
 
 8893 
 
 8936 
 
 8978 
 
 32 
 
 27 
 
 3677 
 
 3717 
 
 3758 
 
 3798 
 
 3839 
 
 3879 
 
 32 
 
 28 
 
 9020 
 
 9063 
 
 gioS 
 
 9147 
 
 9189 
 
 9232 
 
 3i 
 
 28 
 
 3920 
 
 3960 
 
 4ooi 
 
 4o4i 
 
 4082 
 
 4l22 
 
 3i 
 
 29 
 
 9274 
 
 9316 
 
 9358 
 
 9401 
 
 9443 
 
 9485 
 
 3o 
 
 29 
 
 4i63 
 
 42o3 
 
 4244 
 
 4284 
 
 4325 
 
 4365 
 
 3o 
 
 3o 
 
 9.649527 
 
 9570 
 
 9612 
 
 9654 
 
 9696 
 
 9739 
 
 29 
 
 3o 
 
 9.664406 
 
 4446 
 
 4486 
 
 4527 
 
 4567 
 
 4608 
 
 29 
 
 3i 
 
 9781 
 
 9823 
 
 9865 
 
 9907 
 
 9949 
 
 9992 
 
 28 
 
 3i 
 
 4648 
 
 4689 
 
 4729 
 
 4769 
 
 48io 
 
 485o 
 
 28 
 
 32 
 
 9.65oo34 
 
 0076 
 
 ou8 
 
 0160 
 
 0202 
 
 0245 
 
 27 
 
 32 
 
 4891 
 
 4931 
 
 4971 
 
 5oi2 
 
 5o52 
 
 5093 
 
 27 
 
 33 
 
 0287 
 
 0329 
 
 0371 
 
 o4i3 
 
 0455 
 
 0497 
 
 26 
 
 33 
 
 5i33 
 
 5173 
 
 52i4 
 
 5254 
 
 5294 
 
 5335 
 
 26 
 
 34 
 
 0539 
 
 o582 
 
 0624 
 
 0666 
 
 0708 
 
 0750 
 
 25 
 
 34 
 
 5375 
 
 54i5 
 
 5456 
 
 5496 
 
 5536 
 
 5577 
 
 25 
 
 35 
 
 0792 
 
 o834 
 
 0876 
 
 0918 
 
 0960 
 
 1002 
 
 24 
 
 35 
 
 5617 
 
 5657 
 
 5697 
 
 5738 
 
 5778 
 
 58i8 
 
 24 
 
 36 
 
 io44 
 
 1086 
 
 1128 
 
 1 171 
 
 I2l3 
 
 1255 
 
 23 
 
 36 
 
 5859 
 
 5899 
 
 5939 
 
 5979 
 
 6020 
 
 6060 
 
 23 
 
 37 
 
 1297 
 
 1339 
 
 i38i 
 
 i423 
 
 i465 
 
 i5o7 
 
 22 
 
 37 
 
 6100 
 
 6i4o 
 
 6181 
 
 6221 
 
 6261 
 
 63oi 
 
 22 
 
 38 
 
 1549 
 
 1591 
 
 i633 
 
 1675 
 
 1716 
 
 1758 
 
 21 
 
 38 
 
 6342 
 
 6382 
 
 6422 
 
 6462 
 
 65o2 
 
 6543 
 
 21 
 
 39 
 
 1800 
 
 1842 
 
 i884 
 
 1926 
 
 1968 
 
 2010 
 
 20 
 
 39 
 
 6583 
 
 6623 
 
 6663 
 
 6703 
 
 6743 
 
 6784 
 
 20 
 
 4o 
 
 9.652o52 
 
 2094 
 
 2i36 
 
 2178 
 
 2220 
 
 2262 
 
 19 
 
 40 
 
 9.666824 
 
 6864 
 
 6904 
 
 6944 
 
 6984 
 
 7025 
 
 19 
 
 4i 
 
 23o4 
 
 2345 
 
 2387 
 
 2429 
 
 2471 
 
 25i3 
 
 18 
 
 4i 
 
 7065 
 
 7105 
 
 7145 
 
 7185 
 
 7225 
 
 7265 
 
 18 
 
 42 
 
 2555 
 
 2597 
 
 2638 
 
 2680 
 
 2722 
 
 2764 
 
 17 
 
 42 
 
 73o5 
 
 7346 
 
 7386 
 
 7426 
 
 7466 
 
 75o6 
 
 17 
 
 43 
 
 2806 
 
 2848 
 
 2890 
 
 2931 
 
 2973 
 
 3oi5 
 
 16 
 
 43 
 
 7546 
 
 7586 
 
 7626 
 
 7666 
 
 7706 
 
 7746 
 
 16 
 
 44 
 
 3o57 
 
 3099 
 
 3i4o 
 
 3i82 
 
 3224 
 
 3266 
 
 i5 
 
 44 
 
 7786 
 
 7826 
 
 7866 
 
 7906 
 
 7946 
 
 7986 
 
 i5 
 
 45 
 
 33o8 
 
 3349 
 
 3391 
 
 3433 
 
 3475 
 3725 
 
 35i6 
 
 i4 
 
 45 
 
 8027 
 
 8067 
 
 8107 
 
 8147 
 
 8187 
 
 8227 
 
 i4 
 
 46 
 
 3558 
 
 36oo 
 
 3642 
 
 3683 
 
 3767 
 
 i3 
 
 46 
 
 8267 
 
 83o7 
 
 8347 
 
 8386 
 
 8426 
 
 8466 
 
 i3 
 
 47 
 
 38o8 
 
 385o 
 
 3892 
 
 3934 
 
 3975 
 
 4017 
 
 12 
 
 47 
 
 85o6 
 
 8546 
 
 8586 
 
 8626 
 
 8666 
 
 8706 
 
 12 
 
 48 
 
 4o59 
 
 4ioo 
 
 4i42 
 
 4i84 
 
 4225 
 
 4267 
 
 1 1 
 
 48 
 
 8746 
 
 8786 
 
 8826 
 
 8866 
 
 8906 
 
 8946 
 
 II 
 
 49 
 
 4309 
 
 435o 
 
 4392 
 
 4434 
 
 4475 
 
 4517 
 
 10 
 
 49 
 
 8986 9026 
 
 9065 
 
 9io5 
 
 9145 
 
 9185 
 
 10 
 
 5o 
 
 9.654558 
 
 4600 
 
 4642 
 
 4683 
 
 4725 
 
 4766 
 
 9 
 
 5o 
 
 9.669225 9265 
 
 93o5 
 
 9345 
 
 9384 
 
 9424 
 
 9 
 
 5i 
 
 4808 
 
 485o 
 
 4891 
 
 4933 
 
 4974 
 
 5oi6 
 
 8 
 
 5i 
 
 9464 g5o4 
 
 9544 
 
 9584 
 
 9624 
 
 9663 
 
 8 
 
 52 
 
 5o58 
 
 5099 
 
 5i4i 
 
 5i82 
 
 5224 
 
 5265 
 
 7 
 
 52 
 
 9703 
 
 9743 
 
 9783 
 
 9823 
 
 9862 
 
 9902 
 
 7 
 
 53 
 
 5307 
 
 5348 
 
 5390 
 
 543 1 
 
 5473 
 
 55i4 
 
 6 
 
 53 
 
 9942 
 
 9982 
 
 . .22 
 
 ..61 
 
 . 101 
 
 .i4i 
 
 6 
 
 54 
 
 5556 
 
 5597 
 
 5639 
 
 568o 
 
 5722 
 
 5763 
 
 5 
 
 54 
 
 9.670181 
 
 0220 
 
 0260 
 
 o3oo 
 
 o34o 
 
 0379 
 
 5 
 
 55 
 
 58o5 
 
 5846 
 
 5888 
 
 5929 
 
 5971 
 
 6012 
 
 4 
 
 55 
 
 0419 
 
 0459 
 
 0499 
 
 o538 
 
 0578 
 
 0618 
 
 4 
 
 56 
 
 6o54 
 
 6095 
 
 6i36 
 
 6178 
 
 6219 
 
 6261 
 
 3 
 
 56 
 
 o658 
 
 0697 
 
 0737 
 
 0777 
 
 0816 
 
 o856 
 
 3 
 
 57 
 
 63o2 
 
 6344 
 
 6385 
 
 6426 
 
 6468 
 
 65o9 
 
 2 
 
 57 
 
 0896 
 
 0935 
 
 0975 
 
 ioi5 
 
 io54 
 
 1094 
 
 2 
 
 58 
 
 655i 
 
 6592 
 
 6633 
 
 6675 
 
 6716 
 
 6757 
 
 I 
 
 58 
 
 1 1 34 
 
 1173 
 
 I2l3 
 
 1253 
 
 1292 
 
 i332 
 
 I 
 
 59 
 
 6799 
 
 684o 
 
 6881 
 
 6923 
 
 6964 
 
 7oo5 
 
 
 
 59 
 
 1372 
 
 i4i 1 
 
 i45i 
 
 1490 
 
 i53o 
 
 1570 
 
 
 
 
 60" 50" 
 
 40" 
 
 30" 
 
 20" 1 10" 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 i 
 
 Co-sine of 63 Degrees. 
 
 Co-sine of 62 Degrees. 
 
 P p,rt i 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 • '^"^ }A 8 13 17 21 25 30 34 38 
 
 p p . j 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 r.ran^^ 8 12 16 20 24 28 32 36 
 

 
 
 
 LOGAKITHMIC ' 
 
 Tangents. 
 
 
 
 
 
 51 
 
 
 Tangent of 26 Degrees. 
 
 
 a 
 
 Tangent of 27 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 
 
 9.688182 
 
 8235 
 
 8289 
 
 8342 
 
 8395 
 
 8449 
 
 59 
 
 
 
 9.707166 
 
 7218 
 
 7270 
 
 7322 
 
 7374 
 
 7426 
 
 59 
 
 I 
 
 85o2 
 
 8556 
 
 8609 
 
 8663 
 
 8716 
 
 8769 
 
 58 
 
 I 
 
 7478 
 
 7530 
 
 7582 
 
 7634 
 
 7686 
 
 7738 
 
 58 
 
 2 
 
 8823 
 
 8876 
 
 8930 
 
 8983 
 
 9o36 
 
 9090 
 
 57 
 
 2 
 
 7790 
 
 7842 
 
 7894 
 
 7946 
 
 7998 
 
 8o5o 
 
 5? 
 
 3 
 
 9r43 
 
 9196 
 
 9250 
 
 93o3 
 
 9356 
 
 9410 
 
 56 
 
 3 
 
 8102 
 
 8i54 
 
 8206 
 
 8258 
 
 83io 
 
 8362 
 
 56 
 
 4 
 
 9463 
 
 9516 
 
 9570 
 
 9623 
 
 9676 
 
 9730 
 
 55 
 
 4 
 
 84i4 
 
 8466 
 
 85i8 
 
 8570 
 
 8622 
 
 8674 
 
 55 
 
 5 
 
 9783 
 
 9836 
 
 9890 
 
 9943 
 
 9996 
 
 ..5o 
 
 54 
 
 5 
 
 8726 
 
 8778 
 
 883o 
 
 8882 
 
 8934 
 
 8985 
 
 54 
 
 6 
 
 9.690103 
 
 oi56 
 
 0210 
 
 0263 
 
 o3i6 
 
 0369 
 
 53 
 
 6 
 
 9037 
 
 9089 
 
 9141 
 
 9193 
 
 9245 
 
 9297 
 
 53 
 
 7 
 
 o423 
 
 0476 
 
 o529 
 
 o582 
 
 o636 
 
 0689 
 
 52 
 
 7 
 
 9349 
 
 9401 
 
 9453 
 
 95o4 
 
 9556 
 
 9608 
 
 52 
 
 « 
 
 0742 
 
 0795 
 
 0849 
 
 0902 
 
 0955 
 
 1008 
 
 5i 
 
 8 
 
 9660 
 
 9712 
 
 9764 
 
 9816 
 
 9868 
 
 9919 
 
 5i 
 
 9 
 
 1062 
 
 in5 
 
 1 168 
 
 1221 
 
 1274 
 
 i328 
 
 5o 
 
 9 
 
 9971 
 
 ..23 
 
 ..75 
 
 . 127 
 
 .179 
 
 .23l 
 
 5o 
 
 lO 
 
 9.69I38I 
 
 1434 
 
 1487 
 
 1 540 
 
 1594 
 
 [647 
 
 49 
 
 10 
 
 9.710282 
 
 o334 
 
 o386 
 
 o438 
 
 0490 
 
 o542 
 
 49 
 
 1 1 
 
 1700 
 
 1753 
 
 1806 
 
 1859 
 
 1913 
 
 1966 
 
 48 
 
 II 
 
 0593 
 
 0645 
 
 0697 
 
 0749 
 
 0801 
 
 o852 
 
 48 
 
 12 
 
 2019 
 
 2072 
 
 2125 
 
 2178 
 
 2232 
 
 2285 
 
 47 
 
 12 
 
 0904 
 
 0956 
 
 1008 
 
 loSg 
 
 I III 
 
 ii63 
 
 47 
 
 i3 
 
 2338 
 
 2391 
 
 2444 
 
 2497 
 
 255o 
 
 2603 
 
 46 
 
 i3 
 
 I2l5 
 
 1267 
 
 i3i8 
 
 1370 
 
 l422 
 
 1474 
 
 46 
 
 i4 
 
 2656 
 
 2710 
 
 2763 
 
 2816 
 
 2869 
 
 2922 
 
 45 
 
 i4 
 
 i525 
 
 1577 
 
 1629 
 
 1681 
 
 1732 
 
 1784 
 
 45 
 
 i5 
 
 2975 
 
 3028 
 
 3o8i 
 
 3i34 
 
 3187 
 
 3240 
 
 44 
 
 i5 
 
 i836 
 
 1887 
 
 1939 
 
 1991 
 
 2043 
 
 2094 44 1 
 
 i6 
 
 3293 
 
 3346 
 
 3400 
 
 3453 
 
 35o6 
 
 3559 
 
 43 
 
 16 
 
 2i46 
 
 2198 
 
 2249 
 
 23oi 
 
 2353 
 
 24o5 
 
 43 
 
 17 
 
 36i2 
 
 3665 
 
 3718 
 
 3771 
 
 3824 
 
 3877 
 
 42 
 
 17 
 
 2456 
 
 25o8 
 
 256o 
 
 26II 
 
 2663 
 
 2715 
 
 42 
 
 18 
 
 3930 
 
 3983 
 
 4o36 
 
 4089 
 
 4 1 42 
 
 4195 
 
 4i 
 
 18 
 
 2766 
 
 2818 
 
 2870 
 
 2921 
 
 2973 
 
 3o25 
 
 4i 
 
 19 
 
 4248 
 
 43oi 
 
 4354 
 
 4407 
 
 4460 
 
 45i3 
 
 40 
 
 19 
 
 3076 
 
 3i28 
 
 3x79 
 
 323i 
 
 3283 
 
 3334 
 
 4o 
 
 20 
 
 9.694566 
 
 4619 
 
 4672 
 
 4724 
 
 4777 
 
 483o 
 
 39 
 
 20 
 
 9.713386 
 
 3438 
 
 3489 
 
 3541 
 
 3592 
 
 3644 
 
 39 
 
 21 
 
 4883 
 
 4936 
 
 4989 
 
 5o42 
 
 5095 
 
 5i48 
 
 38 
 
 21 
 
 3696 
 
 3747 
 
 3799 
 
 385o 
 
 3902 
 
 3954 
 
 38 
 
 22 
 
 6201 
 
 5254 
 
 5307 
 
 536o 
 
 5412 
 
 5465 
 
 37 
 
 22 
 
 4oo5 
 
 4o57 
 
 4io8 
 
 4i6o 
 
 421 1 
 
 4263 
 
 37 
 
 23 
 
 55i8 
 
 5571 
 
 5624 
 
 5677 
 
 5730 
 
 5783 
 
 36 
 
 23 
 
 43i4 
 
 4366 
 
 4418 
 
 4469 
 
 4521 
 
 4572 
 
 36 
 
 24 
 
 5836 
 
 5888 
 
 5941 
 
 5994 
 
 6047 
 
 6100 
 
 35 
 
 24 
 
 4624 
 
 4675 
 
 4727 
 
 4778 
 
 483o 
 
 4881 
 
 35 
 
 25 
 
 6i53 
 
 6206 
 
 6258 
 
 63ii 
 
 6364 
 
 64i7 
 
 34 
 
 25 
 
 4933 
 
 4984 
 
 5o36 
 
 5087 
 
 5i39 
 
 5190 
 
 34 
 
 26 
 
 6470 
 
 6522 
 
 6575 
 
 6628 
 
 6681 
 
 6734 
 
 33 
 
 26 
 
 5242 
 
 5293 
 
 5345 
 
 5396 
 
 5448 
 
 5499 
 
 33 
 
 27 
 
 6787 
 
 6839 
 
 6892 
 
 6945 
 
 6998 
 
 7o5o 
 
 32 
 
 27 
 
 555i 
 
 56o2 
 
 5654 
 
 5705 
 
 5757 
 
 58o8 
 
 32 
 
 28 
 
 7103 
 
 7i56 
 
 7209 
 
 7262 
 
 73 1 4 
 
 7367 
 
 3i 
 
 28 
 
 586o 
 
 5911 
 
 5962 
 
 6oi4 
 
 6o65 
 
 6117 
 
 3i 
 
 29 
 
 7420 
 
 7473 
 
 7525 
 
 7578 
 
 763i 
 
 7684 
 
 3o 
 
 29 
 
 6168 
 
 6220 
 
 6271 
 
 6322 
 
 6374 
 
 6425 
 
 3o 
 
 3o 
 
 9.697736 
 
 7789 
 
 7824 
 
 7894 
 
 7947 
 
 8000 
 
 29 
 
 3o 
 
 9.716477 
 
 6528 
 
 6579 
 
 663i 
 
 6682 
 
 6734 
 
 29 
 
 3i 
 
 8o53 
 
 8io5 
 
 8i58 
 
 8211 
 
 8263 
 
 83i6 
 
 28 
 
 3i 
 
 6785 
 
 6836 
 
 6888 
 
 6939 
 
 6991 
 
 7042 
 
 28 
 
 32 
 
 8369 
 
 842 1 
 
 8474 
 
 8527 
 
 8579 
 
 8632 
 
 27 
 
 32 
 
 7093 
 
 7145 
 
 7196 
 
 7247 
 
 7299 
 
 7350 
 
 27 
 
 33 
 
 8685 
 
 8737 
 
 8790 
 
 8843 
 
 8895 
 
 8948 
 
 26 
 
 33 
 
 7401 
 
 7453 
 
 75o4 
 
 7555 
 
 7607 
 
 7658 
 
 26 
 
 34 
 
 9001 
 
 9053 
 
 9106 
 
 9159 
 
 921 1 
 
 9264 
 
 25 
 
 34 
 
 7709 
 
 7761 
 
 7812 
 
 7863 
 
 79i5 
 
 7966 
 
 25 
 
 35 
 
 9316 
 
 9369 
 
 9422 
 
 9474 
 
 9527 
 
 9579 
 
 24 
 
 35 
 
 8017 
 
 8069 
 
 8120 
 
 8171 
 
 8223 
 
 8274 
 
 24 
 
 36 
 
 9632 
 
 9685 
 
 9737 
 
 9790 
 
 9842 
 
 9895 
 
 23 
 
 36 
 
 8325 
 
 8376 
 
 8428 
 
 8479 
 
 853o 
 
 858i 
 
 23 
 
 37 
 
 9947 
 
 . . . . 
 
 ..53 
 
 . io5 
 
 .i58 
 
 .210 
 
 22 
 
 37 
 
 8633 
 
 8684 
 
 8735 
 
 8786 
 
 8838 
 
 8889 
 
 22 
 
 38 
 
 g. 700263 
 
 o3i5 
 
 o368 
 
 0420 
 
 0473 
 
 o525 
 
 21 
 
 38 
 
 8940 
 
 8991 
 
 9043 
 
 9094 
 
 9145 
 
 9196 
 
 21 
 
 39 
 
 0578 
 
 o63o 
 
 o683 
 
 0736 
 
 0788 
 
 o84i 
 
 20 
 
 39 
 
 9248 
 
 9299 
 
 9350 
 
 9401 
 
 9452 
 
 95o4 
 
 20 
 
 4o 
 
 9.700893 
 
 0946 
 
 0998 
 
 io5i 
 
 I io3 
 
 ii55 
 
 19 
 
 40 
 
 9.719555 
 
 9606 
 
 9657 
 
 9708 
 
 9760 
 
 9811 
 
 19 
 
 4i 
 
 1208 
 
 1260 
 
 i3i3 
 
 1 365 
 
 i4i8 
 
 1470 
 
 18 
 
 4i 
 
 9862 
 
 99i3 
 
 9964 
 
 ..16 
 
 ..67 
 
 .118 
 
 18 
 
 42 
 
 i523 
 
 1575 
 
 1628 
 
 1680 
 
 1733 
 
 1785 
 
 17 
 
 42 
 
 9.720169 
 
 0220 
 
 0271 
 
 0322 
 
 0374 
 
 o425 
 
 17 
 
 43 
 
 1837 
 
 1890 
 
 1942 
 
 1995 
 
 2047 
 
 2100 
 
 16 
 
 43 
 
 0476 
 
 o527 
 
 0578 
 
 0629 
 
 0680 
 
 0732 
 
 16 
 
 44 
 
 2l52 
 
 2204 
 
 2257 
 
 2309 
 
 2362 
 
 24i4 
 
 i5 
 
 44 
 
 0783 
 
 o834 
 
 o885 
 
 0936 
 
 0987 
 
 io38 
 
 i5 
 
 45 
 
 2466 
 
 25i9 
 
 2571 
 
 2623 
 
 2676 
 
 2728 
 
 i4 
 
 45 
 
 1089 
 
 ii4o 
 
 1191 
 
 1243 
 
 1294 
 
 i345 
 
 i4 
 
 46 
 
 2781 
 
 2833 
 
 2885 
 
 2938 
 
 2990 
 
 3o42 
 
 i3 
 
 46 
 
 1396 
 
 1447 
 
 1498 
 
 i549 
 
 1600 
 
 i65i 
 
 i3 
 
 47 
 
 3095 
 
 3i47 
 
 3199 
 
 3252 
 
 33o4 
 
 3356 
 
 12 
 
 47 
 
 1702 
 
 1753 
 
 1804 
 
 i855 
 
 1906 1957 
 
 12 
 
 48 
 
 3409 
 
 346i 
 
 35i3 
 
 3566 
 
 36i8 
 
 3670 II 
 
 48 
 
 2009 
 
 2060 
 
 211 1 
 
 2162 
 
 22l3 2264 
 
 II 
 
 49 
 
 3722 
 
 3775 
 
 3827 
 
 3879 
 
 3932 
 
 3984 10 
 
 49 
 
 23i5 
 
 2366 
 
 2417 
 
 2468 
 
 25i9 
 
 2570 
 
 10 
 
 5o 
 
 9.704036 
 
 4088 
 
 4i4i 
 
 4193 
 
 4245 
 
 4297 
 
 9 
 
 5o 
 
 9.722621 
 
 2672 
 
 2723 
 
 2774 
 
 2825 
 
 2876 
 
 9 
 
 5i 
 
 435o 
 
 44o2 
 
 4454 
 
 45o6 
 
 4559 
 
 46ii 
 
 8 
 
 5i 
 
 2927 
 
 2978 
 
 3029 
 
 3o8o 
 
 3i3o 
 
 3i8i 
 
 8 
 
 52 
 
 4663 
 
 47i5 
 
 4768 
 
 4820 
 
 4872 
 
 4924 
 
 7 
 
 52 
 
 3232 
 
 3283 
 
 3334 
 
 3385 
 
 3436 
 
 3487 
 
 7 
 
 53 
 
 4976 
 
 5029 
 
 5o8i 
 
 5i33 
 
 5i85 
 
 5237 
 
 6 
 
 53 
 
 3538 
 
 3589 
 
 364o 
 
 3691 
 
 3742 
 
 3793 
 
 6 
 
 ' 54 
 
 52go 
 
 5342 
 
 5394 
 
 5446 
 
 5498 
 
 555i 
 
 5 
 
 54 
 
 3844 
 
 3895 
 
 3945 
 
 3996 
 
 4o47 
 
 4098 
 
 5 
 
 55 
 
 56o3 
 
 5655 
 
 5707 
 
 5759 
 
 58ii 
 
 5863 
 
 4 
 
 55 
 
 4i49 
 
 4200 
 
 425l 
 
 43o2 
 
 4353 
 
 44o3 
 
 4 
 
 56 
 
 5916 
 
 5968 
 
 6020 
 
 6072 
 
 6124 
 
 6176 
 
 3 
 
 56 
 
 4454 
 
 45o5 
 
 4556 
 
 4607 
 
 4658 
 
 4709 
 
 3 
 
 15? 
 
 6228 
 
 6280 
 
 6333 
 
 6385 
 
 6437 
 
 6489 
 
 2 
 
 57 
 
 4760 
 
 4810 
 
 4861 
 
 4912 
 
 4963 
 
 5oi4 
 
 2 
 
 ' 58 
 
 654i 
 
 6593 
 
 6645 
 
 6607 
 
 6749 
 
 6801 
 
 I 
 
 58 
 
 5o65 5ii5 
 
 5i66 
 
 5217 
 
 5268 
 
 5319 
 
 I 
 
 [59 
 
 6854 
 
 69o6'6958 7010 
 
 7062 
 
 7114 
 
 
 
 59 
 
 5370 5420 
 
 5471 
 
 5522 
 
 5573 
 
 5624 
 
 
 
 
 60" 
 
 50" 40" 30" 1 20" 1 10" 
 
 d 
 
 
 60" 50" 1 40" 
 
 30" 
 
 20" 
 
 10" 
 
 c 
 § 
 
 Co-tangent of 63 Degrees. 
 
 Co-tangent of 62 Degrees. 
 
 p „ J 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 f. rart ^5 jj ^g 2^ 2g gg g^ ^3 ^^ 
 
 p p Jl" 2" 3" 4" 5" 6" 7" 8" 9" 
 y. rart ^ ^ ^^ jg ^l 26 31 36 41 46 
 
52 
 
 Logarithmic Sines. 
 
 d 
 
 Sine of 28 Degrees. 
 
 
 d 
 
 Sine of 29 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 40" 1 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 1 50" 1 
 
 o 
 
 9.671609 
 
 1847 
 
 1649 
 
 1688 
 
 1728 
 
 1768 1807 
 
 59 
 
 
 
 9.685571 
 
 5609 
 
 5647 
 
 5685 
 
 5723 
 
 5761 
 
 59 
 
 I 
 
 1886 
 
 1926 
 
 1965 
 
 2005 
 
 2045 
 
 58 
 
 I 
 
 5799 
 
 5837 
 
 5875 
 
 5913 
 
 5951 
 
 5989 
 
 58 
 
 2 
 
 2084 
 
 2124 
 
 2i63 
 
 2203 
 
 2242 2282 
 
 57 
 
 2 
 
 6027 
 
 6o65 
 
 6io3 
 
 6i4i 
 
 6178 
 
 6216 
 
 57 
 
 3 
 
 2321 
 
 236ij24oo 
 
 2440 
 
 2479:2519 
 
 56 
 
 3 
 
 6254 
 
 6292 
 
 633o 
 
 6368 
 
 64o6 
 
 6444 
 
 56 
 
 4 
 
 2558 
 
 2598 
 
 2637 
 
 2677 
 
 2716 2756 
 
 55 
 
 4 
 
 6482 
 
 65i9 
 
 6557 
 
 6595 
 
 6633 
 
 6671 
 
 55 
 
 5 
 
 2795 
 
 2835 
 
 2874 
 
 2914 
 
 2953 2992 
 
 54 
 
 5 
 
 6709 
 
 6747 
 
 6785 
 
 6822 
 
 6860 
 
 6898 
 
 54 
 
 6 
 
 3o32 
 
 3071 
 
 3in 
 
 3i5o 
 
 1 
 
 3190 
 
 3229 
 
 53 
 
 6 
 
 6936 
 
 6974 
 
 7012 
 
 7049 
 
 7087 
 
 7125 
 
 53 
 
 7 
 
 3268 
 
 33o8 
 
 3347 
 
 3387 
 
 3426 
 
 3465 
 
 52 
 
 7 
 
 7163 
 
 7201 
 
 7238 
 
 7276 
 
 73i4 
 
 7352 
 
 52 
 
 8 
 
 35o5 
 
 3544 
 
 3583 
 
 3623 
 
 3662 
 
 3702 
 
 5i 
 
 8 
 
 7389 
 
 7427 
 
 7465 
 
 75o3 
 
 7541 
 
 7578 
 
 5i 
 
 Q 
 
 3741 
 
 3780 
 
 3820 
 
 3859 
 
 3898 
 
 3938 
 
 5o 
 
 9 
 
 7616 
 
 7654 
 
 7692 
 
 7729 
 
 7767 
 
 7805 
 
 5o 
 
 7 
 
 10 
 
 9.673977 
 
 4oi6 
 
 4o56 
 
 4095 
 
 41344173 
 
 49 
 
 10 
 
 9.687843 
 
 7880 
 
 7918 
 
 7956 
 
 7993 
 
 8o3i 
 
 49 
 
 1 1 
 
 42l3 
 
 4252 
 
 4291 
 
 433i 
 
 437o'44o9 
 
 48 
 
 II 
 
 8069 
 
 8106 
 
 8i44 
 
 8182 
 
 8220 
 
 8257 
 
 48 
 
 12 
 
 4448 
 
 4488 
 
 4527 
 
 4566 
 
 46o6!4645 
 
 47 
 
 12 
 
 8295 
 
 8333 
 
 8370 
 
 84o8 
 
 8446 
 
 8483 
 
 47 
 
 i3 
 
 4684 
 
 4723 
 
 4762 4802 
 
 484i'488o 
 
 46 
 
 i3 
 
 8521 
 
 8559 
 
 8596 
 
 8634 
 
 8671 
 
 8709 
 
 46 
 
 i4 
 
 4919 
 
 4959 
 
 4998 
 
 5o37 
 
 5o76:5i i5 
 
 45 
 
 i4 
 
 8747 
 
 8784 
 
 8822 
 
 8860 
 
 8897 
 
 8935 
 
 45 
 
 i5 
 
 5i55 
 
 5194 
 
 5233 
 
 5272 
 
 53i I 535o 
 
 44 
 
 i5 
 
 8972 
 
 9010 
 
 9048 
 
 9085 
 
 9123 
 
 9160 
 
 44 
 
 i6 
 
 5390 
 
 5429 
 
 5468 
 
 55o7 
 
 5546:5585 
 
 43 
 
 16 
 
 9198 
 
 9235 
 
 9273 
 
 931 1 
 
 9348 
 
 9386 
 
 43 
 
 '7 
 
 5624 
 
 5664 
 
 5703 
 
 5742 
 
 5781 5820 
 
 42 
 
 17 
 
 9423 
 
 9461 
 
 9498 
 
 9536 
 
 9573 
 
 961 1 
 
 42 
 
 i8 
 
 5859 
 
 5898 
 
 5937 
 
 5976 
 
 6oi6^6o55 
 
 4i 
 
 18 
 
 9648 
 
 9686 
 
 9723 
 
 9761 
 
 9798 
 
 9836 
 
 4i 
 
 '9 
 
 6094 
 
 6i33 
 
 6172 
 
 6211 
 
 625016289 
 
 4o 
 
 19 
 
 9873 
 
 9911 
 
 9948 
 
 9986 
 
 ..23 
 
 ..61 
 
 4o 
 
 / 
 
 20 
 
 9.676328 
 
 6367 
 
 64o6 
 
 6445 
 
 6484:6523 
 
 39 
 
 20 
 
 9.690098 
 
 oi36 
 
 0173 
 
 021 1 
 
 0248 
 
 0286 
 
 39 
 
 21 
 
 6562 
 
 6601 
 
 664o 
 
 6679 
 
 6718:6757 
 
 38 
 
 21 
 
 o323 
 
 o36i 
 
 0398 
 
 0435 
 
 0473 
 
 o5io 
 
 38 
 
 22 
 
 6796 
 
 6835 
 
 6874 
 
 6913 
 
 6952 6991 
 
 37 
 
 22 
 
 o548 
 
 o585 
 
 0622 
 
 0660 
 
 0697 
 
 0735 
 
 37 
 
 23 
 
 7o3o 
 
 7069 
 
 7108 
 
 7147 
 
 7186 7225 
 
 36 
 
 23 
 
 0772 
 
 0809 
 
 0847 
 
 0884 
 
 0922 
 
 0959 
 
 36 
 
 24 
 
 7264 
 
 73o3 
 
 7342 
 
 7381 
 
 7420 7459 
 
 35 
 
 24 
 
 0996 
 
 io34 
 
 1071 
 
 1108 
 
 ii46 
 
 ii83 
 
 35 
 
 25 
 
 7498 
 
 7536 
 
 7575 
 
 7614 
 
 765317692 
 
 34 
 
 25 
 
 1220 
 
 1258 
 
 1295 
 
 i332 
 
 1370 
 
 i4o7 
 
 34 
 
 26 
 
 7731 
 
 7770 
 
 7809 
 
 7848 
 
 78867925 
 
 33 
 
 26 
 
 1 444 
 
 1482 
 
 i5i9 
 
 i556 
 
 1594 
 
 i63i 
 
 33 
 
 27 
 
 7964 
 
 8oo3 
 
 8042 
 
 8081 
 
 8i2o!8i58 
 
 32 
 
 27 
 
 1668 
 
 1706 
 
 1743 
 
 1780 
 
 1817 
 
 i855 
 
 32 
 
 28 
 
 8197 
 
 8236 
 
 8275 
 
 83i4 
 
 8353 
 
 8391 
 
 3i 
 
 28 
 
 1892 
 
 1929 
 
 1966 
 
 2004 
 
 204l 
 
 2078 
 
 3i 
 
 29 
 
 843o 
 
 8469 
 
 85o8 
 
 8547 
 
 8585 
 
 8624 
 
 3o 
 
 29 
 
 21l5 
 
 2i53 
 
 2190 
 
 2227 
 
 2264 
 
 2302 
 
 3o 
 
 3o 
 
 9.678663 
 
 8702 
 
 8740 
 
 8779 
 
 8818 
 
 8857 
 
 29 
 
 3o 
 
 9.692339 
 
 2376 
 
 24i3 
 
 245o 
 
 2488 
 
 2525I29 
 
 3i 
 
 8895 
 
 8934 
 
 8973 
 
 9012 
 
 go5o 9089 
 
 28 
 
 3i 
 
 2562 
 
 2599 
 
 2636 
 
 2674 
 
 271 1 
 
 2748 ^ 
 
 28 
 
 32 
 
 9128 
 
 9167 
 
 9205 
 
 9244 
 
 9283 9321 
 
 27 
 
 32 
 
 2785 
 
 2822 
 
 2859 
 
 2897 
 
 2934 
 
 2971 
 
 27 
 
 33 
 
 9360 
 
 9399 
 
 9438 
 
 9476 
 
 9515:9554 
 
 26 
 
 33 
 
 3oo8 
 
 3o45 
 
 3o82 
 
 3II9 
 
 3i57 
 
 3194 
 
 26 
 
 34 
 
 9592 
 
 9631 
 
 9670 
 
 9708 
 
 974719786 
 
 25 
 
 34 
 
 323i 
 
 3268 
 
 33o5 
 
 3342 
 
 3379 
 
 3416 
 
 25 
 
 35 
 
 9824 
 
 9863 
 
 9902 
 
 9940 
 
 99791. .17 
 
 24 
 
 35 
 
 3453 
 
 3490 
 
 3528 
 
 3565 
 
 36o2 
 
 3639 
 
 24 
 
 36 
 
 9.68oo56 
 
 0095 
 
 oi33 
 
 0172 
 
 0210 0249 
 
 23 
 
 36 
 
 3676 
 
 3713 
 
 3750 
 
 3787 
 
 3824 
 
 386i 
 
 23 
 
 37 
 
 0288 
 
 o326|o365 
 
 o4o3 
 
 o442|o48i 
 
 22 
 
 37 
 
 3898 
 
 3935 
 
 3972 
 
 4009 
 
 4o46 
 
 4o83 
 
 22 
 
 38 
 
 o5i9 
 
 o558 
 
 0596 
 
 o635 
 
 o673;o7i2 
 
 21 
 
 38 
 
 4l20 
 
 4i57 
 
 4194 
 
 423i 
 
 4268 
 
 43o5 
 
 21 
 
 39 
 
 0750 
 
 0789 
 
 0828 
 
 0866 
 
 0905 0943 
 
 20 
 
 39 
 
 4342 
 
 4379 
 
 4416 
 
 4453 
 
 4490 
 
 4527 
 
 20 
 
 4o 
 
 9.680982 
 
 1020 
 
 1059 
 
 1097 
 
 ii36 1174 
 
 19 
 
 4o 
 
 9.694564 
 
 4601 
 
 4638 
 
 4675 
 
 4712 
 
 4749 
 
 19 . 
 
 4i 
 
 I2l3 
 
 I25l 
 
 1290 
 
 i328 
 
 i366{i4o5 
 
 18 
 
 4i 
 
 4786 
 
 4823 
 
 486o 
 
 4897 
 
 4934 
 
 4971 
 
 18 
 
 42 
 
 i443 
 
 1482 
 
 l520 
 
 1559 
 
 1597 
 
 i636 
 
 17 
 
 42 
 
 5oo7 
 
 5o44 
 
 5o8i 
 
 5ii8 
 
 5i55 
 
 5192 
 
 17 
 
 43 
 
 1674 
 
 I7I3 
 
 I75I 
 
 1789 
 
 1828 
 
 i866 
 
 16 
 
 43 
 
 5229 
 
 5266 
 
 53o3 
 
 5339 
 
 5376 
 
 54i3 
 
 16 
 
 44 
 
 1905 
 
 1943 
 
 I98I 
 
 2020 
 
 2o58 
 
 2097 
 
 i5 
 
 44 
 
 545o 
 
 5487 
 
 5524 
 
 556i 
 
 5598 
 
 5634 
 
 i5 
 
 45 
 
 2i35 
 
 2173 
 
 2212 
 
 225o 
 
 2288 
 
 2327 
 
 i4 
 
 45 
 
 5671 
 
 5708 
 
 5745 
 
 5782 
 
 5819 
 
 5855 
 
 i4 
 
 46 
 
 2365 
 
 24o3 
 
 2442 
 
 2480 
 
 25x9 
 
 2557 
 
 i3 
 
 46 
 
 5892 
 
 5929 
 
 5966 
 
 6oo3 
 
 6039 
 
 6076 
 
 i3 
 
 47 
 
 2595 
 
 2633 
 
 2672 
 
 2710 
 
 2748 
 
 2787 
 
 12 
 
 47 
 
 6ii3 
 
 6i5o 
 
 6187 
 
 6223 
 
 6260 
 
 6297 
 
 12 
 
 48 
 
 2825 
 
 2863 
 
 2902 
 
 2940 
 
 2978 
 
 3oi6 
 
 11 
 
 48 
 
 6334 
 
 6370 
 
 6407 
 
 6444 
 
 6481 
 
 65i7 
 
 1 1 
 
 49 
 
 3o55 
 
 3093 
 
 3i3i 
 
 3170 
 
 3208 
 
 3246 
 
 10 
 
 49 
 
 6554 
 
 6591 
 
 6628 
 
 6664 
 
 6701 
 
 6738 
 
 10 
 
 5o 
 
 9.683284 
 
 3323 
 
 336i 
 
 3399 
 
 3437 
 
 3475 
 
 9 
 
 5o 
 
 9.696775 
 
 6811 
 
 6848 
 
 6885 
 
 6921 
 
 6958 
 
 9 
 
 5i 
 
 35i4 
 
 3552 
 
 3590 
 
 3628 
 
 3667 
 
 3705 
 
 8 
 
 5i 
 
 6995 
 
 7o3i 
 
 7068 
 
 7io5 
 
 7141 
 
 7178 
 
 8 
 
 52 
 
 3743 
 
 3781 
 
 3819 
 
 3858 
 
 3896 
 
 3934 
 
 7 
 
 52 
 
 72i5 
 
 725i 
 
 7288 
 
 7325 
 
 7361 
 
 7398 
 
 7 
 
 53 
 
 3972 
 
 4oio 
 
 4o48 
 
 4087 
 
 4l25 
 
 4i63 
 
 6 
 
 53 
 
 7435 
 
 7471 
 
 75o8 
 
 7545 
 
 7581 
 
 7618 
 
 6 
 
 54 
 
 4201 
 
 4239 
 
 14277 
 
 43i5 
 
 4353 
 
 ,4392 
 
 5 
 
 54 
 
 7654 
 
 7691 
 
 7728 
 
 7764 
 
 7801 
 
 7838 
 
 5 
 
 55 
 
 443o 
 
 4468 
 
 i45o6 
 
 4544 
 
 4582 
 
 4620 
 
 4 
 
 55 
 
 7874 
 
 7911 
 
 7947 
 
 7984 
 
 8020 
 
 8o57 
 
 4 
 
 56 
 
 4658 
 
 4696 
 
 4735 
 
 4773 
 
 48ii 
 
 4849 
 
 3 
 
 56 
 
 8094 
 
 8i3o 
 
 8167 
 
 8203 
 
 8240 
 
 8276 
 
 3 
 
 57 
 
 4887 
 
 4925 
 
 4963 
 
 5ooi 
 
 5o39 
 
 5o77 
 
 2 
 
 57 
 
 83i3 
 
 8349 
 
 8386 
 
 8423 
 
 8459 
 
 849O 
 
 2 
 
 58 
 
 5ii55i53 
 
 5191 
 
 5229 
 
 5267 
 
 53o5 
 
 I 
 
 58 
 
 8532 
 
 8569 
 
 86o5 
 
 8642 
 
 8678 
 
 8715 
 
 I 
 
 59 
 
 53435381 
 
 5419 
 
 5457 
 
 5495 
 
 5533 
 
 
 
 59 
 
 8751 8788 
 
 L 
 
 8824 
 
 8861 
 
 8_8_97 
 
 8934 
 
 
 
 60" 50" 
 
 40" 
 
 30" 
 
 20" I 10" 
 
 s 
 
 
 60" 50' 
 
 1 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 Co-sine of 61 Degrees. 
 
 Co-sine of 60 Degrees. 
 
 P P , J 1" 2' 3" 4" 5" 6" 7" 8" 9" 
 ""(4 8 12 16 19 23 27 31 35 
 
 P. 
 
 „ J 1" 2" 3" 4 ' 5" 6" 7" 8" 9 ' 
 t^art ^ ^ ^ 11 15 19 22 26 30 33 
 

 
 
 
 Logarithmic ' 
 
 Tangents. 
 
 
 
 
 
 53 
 
 fl" 
 
 Tangent of 28 Degrees. 
 
 
 a 
 
 Tangent of 29 Degrees. 
 
 
 0" 1 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 
 
 9.725674 
 
 5725 
 
 5776 
 
 5827 
 
 5878 
 
 592859 
 
 
 
 9.743752 
 
 38o2 
 
 385i 
 
 3901 
 
 3951 
 
 4ooo 
 
 59 
 
 I 
 
 5979 
 
 6o3o 
 
 6081 
 
 6i3i 
 
 6x82 
 
 6233:58 
 
 I 
 
 4o5o 
 
 4099 
 
 4x49 
 
 4199 
 
 4248 
 
 4298 
 
 58 
 
 2 
 
 6284 
 
 6334 
 
 6385 
 
 6436 
 
 6487 
 
 653757 
 
 2 
 
 4348 
 
 4397 
 
 4447 
 
 4496 
 
 4546 
 
 4596 
 
 57 
 
 3 
 
 6588 
 
 6639 
 
 6690 
 
 6740 
 
 6791 
 
 6842 56 
 
 3 
 
 4645 
 
 4695 
 
 4744 
 
 4794 
 
 4844 
 
 4893 
 
 56 
 
 4 
 
 6892 
 
 6943 
 
 6994 
 
 7045 
 
 7095 
 
 7x46 55 
 
 4 
 
 4943 
 
 4992 
 
 5o42 
 
 5092 
 
 5x4i 
 
 5x91 
 
 55 
 
 5 
 
 7197 
 
 7247 
 
 7298 
 
 7349 
 
 7399 
 
 745o 54 
 
 5 
 
 5240 
 
 5290 
 
 5339 
 
 5389 
 
 5439 
 
 5488 
 
 54 
 
 6 
 
 75oi 
 
 755i 
 
 7602 
 
 7653 
 
 7703 
 
 775453 
 
 6 
 
 5538 
 
 5587 
 
 5637 
 
 5686 
 
 5736 
 
 5785 
 
 53 
 
 7 
 
 7805 
 
 7855 
 
 7906 
 
 7957 
 
 8007 
 
 8o58 52 
 
 7 
 
 5835 
 
 5884 
 
 5934 
 
 5983 
 
 6o33 
 
 6082 
 
 52 
 
 8 
 
 8109 
 
 8i59 
 
 8210 
 
 8261 
 
 83ix 
 
 8362 
 
 5i 
 
 8 
 
 6i32 
 
 6182 
 
 623i 
 
 6281 
 
 633o 
 
 638o 
 
 5x 
 
 9 
 
 84l2 
 
 8463 
 
 85i4 
 
 8564 
 
 86x5 
 
 866550 
 
 9 
 
 6429 
 
 6479 
 
 6528 
 
 6577 
 
 6627 
 
 6676 
 
 5o 
 
 10 
 
 9.728716 
 
 8767 
 
 8817 
 
 8868 
 
 89x8 
 
 8969 49 
 
 10 
 
 9.746726 
 
 6775 
 
 6825 
 
 6874 
 
 6924 
 
 6973 49 
 
 II 
 
 9020 
 
 9070 
 
 gi2i 
 
 9171 
 
 9222 
 
 9272 48 
 
 II 
 
 7023 
 
 7072 
 
 7x22 
 
 717X 
 
 722X 
 
 7270 
 
 4« 
 
 12 
 
 9323 
 
 9374 
 
 9424 
 
 9475 
 
 9525 
 
 9576 
 
 47 
 
 12 
 
 7319 
 
 7369 
 
 7418 
 
 7468 
 
 7517 
 
 7567 
 
 47 
 
 i3 
 
 9626 
 
 9677 
 
 9727 
 
 9778 
 
 9828 
 
 9879 
 
 46 
 
 i3 
 
 76x6 
 
 7665 
 
 77x5 
 
 7764 
 
 7814 
 
 7863 
 
 46 
 
 i4 
 
 9929 
 
 9980 
 
 ..3o 
 
 ..81 
 
 .X32 
 
 .182 
 
 45 
 
 i4 
 
 79x3 
 
 7962 
 
 8011 
 
 8061 
 
 8110 
 
 8160 
 
 45 
 
 i5 
 
 9.730233 
 
 0283 
 
 o333 
 
 o384 
 
 0434 
 
 o485 
 
 44 
 
 i5 
 
 8209 
 
 8258 
 
 83o8 
 
 8357 
 
 84o6 
 
 8456 
 
 44 
 
 i6 
 
 o535 
 
 o586 
 
 o636 
 
 0687 
 
 0737 
 
 0788 
 
 43 
 
 16 
 
 85o5 
 
 8555 
 
 86o4 
 
 8653 
 
 8703 
 
 8752 
 
 43 
 
 17 
 
 o838 
 
 0889 
 
 0939 
 
 0990 
 
 xo4o 
 
 X091 
 
 42 
 
 17 
 
 880X 
 
 885x 
 
 8900 
 
 8949 
 
 8999 
 
 9048 
 
 42 
 
 18 
 
 I i4i 
 
 1191 
 
 1242 
 
 1292 
 
 x343 
 
 1393 
 
 4i 
 
 18 
 
 9097 
 
 9x47 
 
 9196 
 
 9245 
 
 9295 
 
 9344 
 
 4i 
 
 ^9 
 
 1 444 
 
 1494 
 
 1 544 
 
 1595 
 
 x645 
 
 1696 
 
 4o 
 
 19 
 
 9393 
 
 9443 
 
 9492 
 
 9541 
 
 9591 
 
 9640 
 
 4o 
 
 20 
 
 9.731746 
 
 1796 
 
 1847 
 
 1897 
 
 1948 
 
 X998 
 
 39 
 
 20 
 
 9.749689 
 
 9739 
 
 9788 
 
 9837 
 
 9886 
 
 9936 
 
 39 
 
 21 
 
 2048 
 
 2099 
 
 2149 
 
 2200 
 
 225o 
 
 23oo 
 
 38 
 
 21 
 
 9985 
 
 ..34 
 
 ..84 
 
 .i33 
 
 .182 
 
 .23l 
 
 38 
 
 22 
 
 235i 
 
 24oi 
 
 245l 
 
 2502 
 
 2552 
 
 2602 
 
 37 
 
 22 
 
 9.750281 
 
 o33o 
 
 0379 
 
 0428 
 
 0478 
 
 o527 
 
 37 
 
 23 
 
 2653 
 
 2703 
 
 2753 
 
 2804 
 
 2854 
 
 2904 
 
 36 
 
 23 
 
 0576 
 
 0625 
 
 0675 
 
 0724 
 
 0773 
 
 0822 
 
 36 
 
 24 
 
 2955 
 
 3oo5 
 
 3o55 
 
 3io6 
 
 3x56 
 
 3206 
 
 35 
 
 24 
 
 0872 
 
 0921 
 
 0970 
 
 1019 
 
 X069 
 
 11x8 
 
 35 
 
 25 
 
 3257 
 
 33o7 
 
 3357 
 
 3408 
 
 3458 
 
 35o8 
 
 34 
 
 25 
 
 1167 
 
 12X6 
 
 X265 
 
 i3i5 
 
 1 364 
 
 i4i3 
 
 34 
 
 26 
 
 3558 
 
 3609 
 
 3659 
 
 3709 
 
 3760 
 
 38x0 
 
 33 
 
 26 
 
 1462 
 
 i5ii 
 
 x56x 
 
 x6io 
 
 1659 
 
 1708 
 
 33 
 
 27 
 
 386o 
 
 3910 
 
 3961 
 
 4oi I 
 
 4o6x 
 
 4x II 
 
 32 
 
 27 
 
 1757 
 
 1806 
 
 x856 
 
 1905 
 
 1954 
 
 20o3 
 
 32 
 
 28 
 
 4162 
 
 4212 
 
 4262 
 
 43l2 
 
 4363 
 
 44x3 
 
 3i 
 
 28 
 
 2052 
 
 2101 
 
 2x5x 
 
 2200 
 
 2249 
 
 2298 
 
 3x 
 
 29 
 
 4463 
 
 45i3 
 
 4564 
 
 46x4 
 
 4664 
 
 4714 
 
 3o 
 
 29 
 
 2347 
 
 2396 
 
 2446 
 
 2495 
 
 2544 
 
 2593 
 
 3o 
 
 3o 
 
 9.734764 
 
 48i5 
 
 4865 
 
 4915 
 
 4965 
 
 5oi5 
 
 29 
 
 3o 
 
 9. 752642 
 
 269X 
 
 2740 
 
 2789 
 
 2839 
 
 2888 
 
 29 
 
 3i 
 
 5o66 
 
 5ii6 
 
 5i66 
 
 52x6 
 
 5266 
 
 53i7 
 
 28 
 
 3i 
 
 2937 
 
 2986 
 
 3o35 
 
 3o84 
 
 3x33 
 
 3182 
 
 28 
 
 32 
 
 5367 
 
 5417 
 
 5467 
 
 55x7 
 
 5567 
 
 56x8 
 
 27 
 
 32 
 
 323x 
 
 3280 
 
 333o 
 
 3379 
 
 3428 
 
 3477 
 
 27 
 
 33 
 
 5668 
 
 5718 
 
 5768 
 
 58x8 
 
 5868 
 
 59x8 
 
 26 
 
 33 
 
 3526 
 
 3575 
 
 3624 
 
 3673 
 
 3722 
 
 3771 
 
 26 
 
 34 
 
 5969 
 
 6019 
 
 6069 
 
 61x9 
 
 6x69 
 
 62x9 
 
 25 
 
 34 
 
 3820 
 
 3869 
 
 39x8 
 
 3967 
 
 4oi6 
 
 4066 
 
 25 
 
 35 
 
 6269 
 
 63i9 
 
 6370 
 
 6420 
 
 6470 
 
 6520 
 
 24 
 
 35 
 
 4xi5 
 
 4i64 
 
 42x3 
 
 4262 
 
 43x1 
 
 436o 
 
 24 
 
 36 
 
 6570 
 
 6620 
 
 6670 
 
 6720 
 
 6770 
 
 6820 
 
 23 
 
 36 
 
 4409 
 
 4458 
 
 4507 
 
 4556 
 
 46o5 
 
 4654 
 
 23 
 
 37 
 
 6870 
 
 6921 
 
 6971 
 
 702X 
 
 7071 
 
 712X 
 
 22 
 
 37 
 
 4703 
 
 4752 
 
 48ox 
 
 485o 
 
 4899 
 
 4948 
 
 22 
 
 38 
 
 7171 
 
 7221 
 
 7271 
 
 732X 
 
 7371 
 
 742 X 
 
 21 
 
 38 
 
 4997 
 
 5o46 
 
 5095 
 
 5x44 
 
 5193 
 
 5242 
 
 21 
 
 39 
 
 7471 
 
 7521 
 
 7571 
 
 7621 
 
 767X 
 
 7721 
 
 20 
 
 39 
 
 529X 
 
 5340 
 
 5389 
 
 5438 
 
 5487 
 
 5536 
 
 20 
 
 4o 
 
 9.737771 
 
 7821 
 
 7871 
 
 792X 
 
 7971 
 
 8021 
 
 19 
 
 4o 
 
 9.755585 
 
 5634 
 
 5682 
 
 5731 
 
 5780 
 
 5829 
 
 19 
 
 4i 
 
 8071 
 
 8121 
 
 8171 
 
 822X 
 
 827X 
 
 8321 
 
 18 
 
 4i 
 
 5878 
 
 5927 
 
 5976 
 
 6025 
 
 6074 
 
 6123 
 
 x8 
 
 42 
 
 8371 
 
 8421 
 
 8471 
 
 852X 
 
 857X 
 
 8621 
 
 17 
 
 42 
 
 6172 
 
 6221 
 
 6270 
 
 63x9 
 
 6368 
 
 64i6 
 
 17 
 
 43 
 
 8671 
 
 8721 
 
 8771 
 
 882X 
 
 8871 
 
 8921 
 
 16 
 
 43 
 
 6465 
 
 65i4 
 
 6563 
 
 66x2 
 
 6661 
 
 67x0 
 
 16 
 
 44 
 
 8971 
 
 9021 
 
 9071 
 
 9x21 
 
 9x71 
 
 9221 
 
 i5 
 
 44 
 
 6759 
 
 6808 
 
 6857 
 
 6905 
 
 6954 
 
 7003 
 
 x5 
 
 45 
 
 9271 
 
 9321 
 
 9371 
 
 9420 
 
 9470 
 
 9520 
 
 i4 
 
 45 
 
 7o52 
 
 7101 
 
 7i5o 
 
 7199 
 
 7247 
 
 7296 
 
 i4 
 
 46 
 
 9570 
 
 9620 
 
 9670 
 
 9720 
 
 9770 
 
 9820 
 
 i3 
 
 46 
 
 7345 
 
 7394 
 
 7443 
 
 7492 
 
 7541 
 
 7589 
 
 x3 
 
 47 
 
 9870 
 
 9920 
 
 9969 
 
 ..X9 
 
 ..69 
 
 .119 
 
 12 
 
 47 
 
 7638 
 
 7687 
 
 7736 
 
 7785 
 
 7834 
 
 7882 
 
 12 
 
 48 
 
 9.740169 
 
 0219 
 
 0269 
 
 o3x9 
 
 o368 
 
 o4i8 
 
 II 
 
 48 
 
 793x 
 
 7980 
 
 8029 
 
 8078 
 
 8127 
 
 8x75 
 
 XI 
 
 49 
 
 o468 
 
 o5i8 
 
 o568 
 
 0618 
 
 0668 
 
 07x7 
 
 xo 
 
 49 
 
 8224 
 
 8273 
 
 8322 
 
 8371 
 
 8419 
 
 8468 
 
 xo 
 
 5o 
 
 9.740767 
 
 0817 
 
 0867 
 
 09x7 
 
 0967 
 
 xox6 
 
 9 
 
 5o 
 
 9.7585x7 
 
 8566 
 
 86i5 
 
 8663 
 
 87x2 
 
 876X 
 
 9 
 
 5i 
 
 1066 
 
 1 1 16 
 
 1166 
 
 12X6 
 
 X265 
 
 x3x5 
 
 8 
 
 5i 
 
 8810 
 
 8858 
 
 8907 
 
 8956 
 
 9005 
 
 9053 
 
 8 
 
 52 
 
 i365 
 
 i4i5 
 
 i465 
 
 x5x4 
 
 x564 
 
 i6i4 
 
 7 
 
 52 
 
 9x02 
 
 9i5x 
 
 9200 
 
 9248 
 
 9297 
 
 9346 
 
 7 
 
 53 
 
 1664 
 
 1714 
 
 1763 
 
 x8x3 
 
 x863 
 
 X913 
 
 6 
 
 53 
 
 9395 
 
 9443 
 
 9492 
 
 9541 
 
 9590 
 
 9638 
 
 6 
 
 54 
 
 1962 
 
 2012 
 
 2062 
 
 21 12 
 
 2x6x 
 
 221 I 
 
 5 
 
 54 
 
 9687 
 
 9736 
 
 9785 
 
 9833 
 
 9882 
 
 993x 
 
 5 
 
 55 
 
 2261 
 
 23ll 
 
 236o 
 
 24X0 
 
 2460 
 
 25X0 
 
 4 
 
 55 
 
 9979 
 
 ..28 
 
 ••77 
 
 . 126 
 
 .174 
 
 .223 
 
 4 
 
 56 
 
 2559 
 
 2609 
 
 2659 
 
 2709 
 
 2758 
 
 2808 
 
 3 
 
 56 
 
 9.760272 
 
 0320 
 
 0369 
 
 o4i8 
 
 o466 
 
 o5i5 
 
 3 
 
 57 
 
 2858 
 
 2907 
 
 2957 
 
 3007 
 
 3o56 
 
 3io6 
 
 2 
 
 57 
 
 o564 
 
 06x2 
 
 o66x 
 
 0710 
 
 0758 
 
 0807 
 
 2 
 
 58 
 
 3x56 
 
 3206 
 
 3255 
 
 33o5 
 
 3355 
 
 34o4 
 
 I 
 
 58 
 
 o856 
 
 ogo4 
 
 0953 
 
 X002 
 
 io5o 
 
 X099 
 
 X 
 
 59 
 
 3454 
 
 35o4 
 
 3553 
 
 36o3 
 
 3653 
 
 3702 
 
 
 
 59 
 
 xi48 
 
 XX96 
 
 1245 
 
 X293 
 
 x342ix39i 
 
 
 
 
 60" 50" 1 40" 
 
 30" 1 20" 1 10" 
 
 s 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 10" 
 
 a 
 
 ii 
 
 Co-tangent of 61 Degrees. 
 
 Co-tangent of 60 Degrees. 
 
 p p„,, \ V 2" 3" 4" 5" 6" 7" 8" 9" 
 ^•'^^''"(5 10 15 20 25 30 35 40 45 
 
 „ „ (1" 2" 3" 4" 5" 6" 7" 8" 9" 
 P. Part j 5 jQ ^g 2Q 25 29 34 39 44 
 
54 
 
 
 
 
 Logarithmic Sines. 
 
 
 
 
 
 
 
 Sine of 30 Degrees. 
 
 
 
 Sine of 31 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 30" 
 
 40" 
 
 50" 
 
 o 
 
 9.698970 
 
 9006 
 
 9043 
 
 9079 
 
 9I16 
 
 9152 
 
 59 
 
 
 
 9.711839 
 
 1874 
 
 1909 
 
 1944 
 
 1979 
 
 20l4 
 
 59 
 
 I 
 
 9189 
 
 9225 
 
 9262 
 
 929S 
 
 9334 
 
 9371 
 
 58 
 
 1 
 
 2o5o 
 
 2o85 
 
 2120 
 
 2i55 
 
 2190 
 
 2225 
 
 58 
 
 2 
 
 9407 
 
 9444 
 
 9480 
 
 9517 
 
 9553 
 
 9589 
 
 57 
 
 2 
 
 2260 
 
 2295 
 
 233o 
 
 2365 
 
 2400 
 
 2434 
 
 57 
 
 3 
 
 9626 
 
 9662 
 
 9699 
 
 9735 
 
 9771 
 
 9808 
 
 56 
 
 3 
 
 2469 
 
 25o4 
 
 2539 
 
 2574 
 
 2609 
 
 2644 
 
 56 
 
 4 
 
 9844 
 
 9880 
 
 9917 
 
 9953 
 
 9990 
 
 ..26 
 
 55 
 
 4 
 
 2679 
 
 2714 
 
 2749 
 
 2784 
 
 2819 
 
 2854 
 
 55 
 
 5 
 
 g. 700062 
 
 0099 
 
 oi35 
 
 0171 
 
 0208 
 
 0244 
 
 54 
 
 5 
 
 2889 
 
 2924 
 
 2959 
 
 2994 
 
 3029 
 
 3o63 
 
 54 
 
 6 
 
 0280 
 
 o3i7 
 
 o353 
 
 0389 
 
 o425 
 
 0462 
 
 53 
 
 6 
 
 3098 
 
 3i33 
 
 3i68 
 
 32o3 
 
 3238 
 
 3273 
 
 53 
 
 7 
 
 0498 
 
 o534 
 
 0571 
 
 0607 
 
 0643 
 
 0680 
 
 52 
 
 7 
 
 33o8 
 
 3343 
 
 3377 
 
 3412 
 
 3447 
 
 3482 
 
 52 
 
 8 
 
 0716 
 
 0752 
 
 0788 
 
 0825 
 
 0861 
 
 0897 
 
 5i 
 
 8 
 
 35i7 
 
 3552 
 
 3587 
 
 3621 
 
 3656 
 
 3691 
 
 5i 
 
 9 
 
 lO 
 
 0933 
 
 0970 
 
 1006 
 
 1042 
 
 1078 
 
 1 1 15 
 
 5o 
 
 9 
 
 3726 
 
 3761 
 
 3796 
 
 383o 
 
 3865 
 
 3900 
 
 5o 
 
 9.701 i5i 
 
 1187 
 
 1223 
 
 1259 
 
 1296 
 
 i332 
 
 49 
 
 10 
 
 9.713935 
 
 3970 
 
 4oo5 
 
 4039 
 
 4074 
 
 4109 
 
 49 
 
 II 
 
 i368 
 
 i4o4 
 
 i44o 
 
 1477 
 
 i5i3 
 
 1 549 
 
 48 
 
 II 
 
 4i44 
 
 4179 
 
 42l3 
 
 4248 
 
 4283 
 
 43i8 
 
 48 
 
 12 
 
 i585 
 
 1621 
 
 i658 
 
 1694 
 
 1730 
 
 1766 
 
 47 
 
 12 
 
 4352 
 
 4387 
 
 4422 
 
 4457 
 
 4491 
 
 4526 
 
 47 
 
 i3 
 
 1802 
 
 i838 
 
 1874 
 
 1911 
 
 1947 
 
 1983 
 
 46 
 
 i3 
 
 456i 
 
 4596 
 
 463o 
 
 4665 
 
 4700 
 
 4735 
 
 46 
 
 i4 
 
 2019 
 
 2o55 
 
 2091 
 
 2127 
 
 2164 
 
 2200 
 
 45 
 
 i4 
 
 4769 
 
 48o4 
 
 4839 
 
 4873 
 
 4908 
 
 4943 
 
 45 
 
 i5 
 
 2236 
 
 2272 
 
 23o8 
 
 2 344 
 
 238o 
 
 2416 
 
 44 
 
 i5 
 
 4978 
 
 5oi2 
 
 5o47 
 
 5082 
 
 5ii6 
 
 5i5i 
 
 44 
 
 i6 
 
 2452 
 
 2488 
 
 2524 
 
 256i 
 
 2597 
 
 2633 
 
 43 
 
 16 
 
 5i86 
 
 5220 
 
 5255 
 
 5290 
 
 5324 
 
 5359 
 
 43 
 
 '7 
 
 2669 
 
 2705 
 
 2741 
 
 2777 
 
 28i3 
 
 2849 
 
 42 
 
 17 
 
 5394 
 
 5428 
 
 5463 
 
 5498 
 
 5532 
 
 5567 
 
 42 
 
 i8 
 
 2885 
 
 2921 
 
 2957 
 
 2993 
 
 3029 
 
 3o65 
 
 4i 
 
 18 
 
 56o2 
 
 5636 
 
 5671 
 
 5705 
 
 5740 
 
 5775 
 
 4i 
 
 '9 
 
 3ioi 
 
 3i37 
 
 3173 
 
 3209 
 
 3245 
 
 3281 
 
 4o 
 
 19 
 
 5809 
 
 5844 
 
 5878 
 
 5913 
 
 5948 
 
 5982 
 
 4o 
 
 20 
 
 9.703317 
 
 3353 
 
 3389 
 
 3425 
 
 3461 
 
 3497 
 
 39 
 
 20 
 
 9. 716017 
 
 6o5i 
 
 6086 
 
 6121 
 
 6i55 
 
 6190 
 
 39 
 
 21 
 
 3533 
 
 3569 
 
 36o5 
 
 364i 
 
 3677 
 
 3713 
 
 38 
 
 21 
 
 6224 
 
 6259 
 
 6293 
 
 6328 
 
 6362 
 
 6397 
 
 38 
 
 22 
 
 3749 
 
 3784 
 
 3820 
 
 3856 
 
 3892 
 
 3928 
 
 37 
 
 22 
 
 6432 
 
 6455 
 
 65oi 
 
 6535 
 
 6570 
 
 6604 
 
 37 
 
 23 
 
 3964 
 
 4ooo 
 
 4o36 
 
 4072 
 
 4io8 
 
 4i44 
 
 36 
 
 23 
 
 6639 
 
 6673 
 
 6708 
 
 6742 
 
 6777 
 
 6811 
 
 36 
 
 24 
 
 4179 
 
 42 1 5 
 
 425l 
 
 4287 
 
 4323 
 
 4359 
 
 35 
 
 24 
 
 6846 
 
 6880 
 
 6915 
 
 6949 
 
 6984 
 
 7018 
 
 35 
 
 25 
 
 4395 
 
 443i 
 
 4466 
 
 45o2 
 
 4538 
 
 4574 
 
 34 
 
 25 
 
 7o53 
 
 7087 
 
 7122 
 
 7i56 
 
 7191 
 
 7225 
 
 34 
 
 26 
 
 4610 
 
 4646 
 
 4682 
 
 4717 
 
 4753 
 
 4789 
 
 33 
 
 26 
 
 7259 
 
 7294 
 
 7328 
 
 7363 
 
 7397 
 
 7432 
 
 33 
 
 27 
 
 4825 
 
 4861 
 
 4896 
 
 4932 
 
 4968 
 
 5oo4 
 
 32 
 
 27 
 
 7466 
 
 7500 
 
 7535 
 
 7569 
 
 7604 
 
 7638 
 
 32 
 
 28 
 
 5o4o 
 
 5075 
 
 5i II 
 
 5i47 
 
 5i83 
 
 5219 
 
 3i 
 
 28 
 
 7673 
 
 7707 
 
 7741 
 
 7776 
 
 7810 
 
 7844 
 
 3i 
 
 29 
 
 5254 
 
 5290 
 
 5326 
 
 5362 
 
 5397 
 
 5433 
 
 3o 
 
 29 
 
 7879 
 
 7913 
 
 7948 
 
 7982 
 
 8016 
 
 8o5i 
 
 3o 
 
 3o 
 
 9.705469 
 
 55o5 
 
 5540 
 
 5576 
 
 56i2 
 
 5648 
 
 29 
 
 3o 
 
 9.718085 
 
 8119 
 
 8i54 
 
 8188 
 
 8223|8257 
 
 29 
 
 3i 
 
 5683 
 
 5719 
 
 5755 
 
 5790 
 
 5826 
 
 5862 
 
 28 
 
 3i 
 
 8291 
 
 8326 
 
 836o 
 
 8394 
 
 8429 
 
 8463 
 
 28 
 
 32 
 
 5898 
 
 5933 
 
 5969 
 
 6oo5 
 
 6o4o 
 
 6076 
 
 27 
 
 32 
 
 8497 
 
 853i 
 
 8566 
 
 8600 
 
 86348669 
 
 27 
 
 33 
 
 61 12 
 
 6147 
 
 6i83 
 
 6219 
 
 6254 
 
 6290 
 
 26 
 
 33 
 
 8703 
 
 8737 
 
 8772 
 
 8806 
 
 88408874 
 
 26 
 
 34 
 
 6326 
 
 636i 
 
 6397 
 
 6433 
 
 6468 
 
 65o4 
 
 25 
 
 34 
 
 8909 
 
 8943 
 
 8977 
 
 901 1 
 
 9046 9080 
 
 25 
 
 35 
 
 6539 
 
 6575 
 
 6611 
 
 6646 
 
 6682 
 
 6718 
 
 24 
 
 35 
 
 9114 
 
 9148 
 
 91S3 
 
 9217 
 
 925i|9285 
 
 24 
 
 36 
 
 6753 
 
 6789 
 
 6824 
 
 6860 
 
 6895 
 
 6931 
 
 23 
 
 36 
 
 9320 
 
 9354 
 
 9388 
 
 9422 
 
 9456 
 
 9491 
 
 23 
 
 37 
 
 6967 
 
 7002 
 
 7o38 
 
 7073 
 
 7109 
 
 7145 
 
 22 
 
 37 
 
 9525 
 
 9559 
 
 9593 
 
 9627 
 
 9662 
 
 9696 
 
 22 
 
 38 
 
 7180 
 
 7216 
 
 725i 
 
 7287 
 
 7322 
 
 7358 
 
 21 
 
 38 
 
 9730 
 
 9764 
 
 9798 
 
 9833 
 
 9867 
 
 9901 
 
 21 
 
 39 
 
 7393 
 
 7429 
 
 7464 
 
 75oo 
 
 7535 
 
 7571 
 
 20 
 
 39 
 
 9935 
 
 9969 
 
 ...3 
 
 ..38 
 
 ..72 
 
 . 106 
 
 20 
 
 4o 
 
 9.707606 
 
 7642 
 
 7677 
 
 7713 
 
 7748 
 
 7784 
 
 ■9 
 
 4o 
 
 9. 720140 
 
 0174 
 
 0208 
 
 0242 
 
 0276 
 
 o3i 1 
 
 '9 
 
 4i 
 
 7819 
 
 7855 
 
 7890 
 
 7926 
 
 7961 
 
 7997 
 
 18 
 
 4i 
 
 o345 
 
 0379 
 
 o4i3 
 
 o447 
 
 o48i 
 
 o5i5 
 
 18 
 
 42 
 
 8o32 
 
 8068 
 
 8io3 
 
 8139 
 
 8174 
 
 8210 
 
 17 
 
 42 
 
 o549 
 
 o583 
 
 0617 
 
 o652 
 
 0686 
 
 0720 
 
 17 
 
 43 
 
 8245 
 
 8280 
 
 83i6 
 
 835i 
 
 8387 
 
 8422 
 
 16 
 
 43 
 
 0754 
 
 0788 
 
 0822 
 
 o856 
 
 0890 
 
 0924 
 
 16 
 
 44 
 
 8458 
 
 8493 
 
 8528 
 
 8564 
 
 8599 
 
 8635 
 
 i5 
 
 44 
 
 0958 
 
 0992 
 
 1026 
 
 1060 
 
 1094 
 
 1128 
 
 i5 
 
 45 
 
 8670 
 
 8705 
 
 8741 
 
 8776 
 
 8811 
 
 8847 
 
 i4 
 
 45 
 
 1 162 
 
 1 196 
 
 1230 
 
 1264 
 
 1298 
 
 i332 
 
 i4 
 
 46 
 
 8882 
 
 8918 
 
 8953 
 
 8988 
 
 9024 
 
 9059 
 
 ]3 
 
 46 
 
 i366 
 
 i4oo 
 
 1434 
 
 i468 
 
 l502 
 
 i536 
 
 i3 
 
 47 
 
 9094 
 
 9i3o 
 
 9165 
 
 9200 
 
 9236 
 
 9271 
 
 12 
 
 47 
 
 1570 
 
 i6o4 
 
 i638 
 
 1672 
 
 1706 
 
 1740 
 
 12 
 
 48 
 
 9306 
 
 9342 
 
 9377 
 
 9412 
 
 9448 
 
 9483 
 
 1 1 
 
 48 
 
 1774 
 
 1808 
 
 1842 
 
 1876 
 
 I9I0 
 
 1944 
 
 1 1 
 
 49 
 
 9518 
 
 9553 
 
 9589 
 
 9624 
 
 9659 
 
 9695 
 
 10 
 
 49 
 
 1978 
 
 2012 
 
 2o46 
 
 2080 
 
 21 i4 
 
 2i48 
 
 10 
 
 5o 
 
 9.709730 
 
 9765 
 
 9800 
 
 9836 
 
 9871 
 
 9906 
 
 9 
 
 5o 
 
 9.722181 
 
 22l5 
 
 2249 
 
 2283 
 
 23i7 
 
 235i 
 
 9 
 
 5i 
 
 9941 
 
 9977 
 
 . . 12 
 
 ..47 
 
 ..82 
 
 .118 
 
 8 
 
 5i 
 
 2385 
 
 2419 
 
 2453 
 
 2487 
 
 2520 
 
 2554 
 
 8 
 
 52 
 
 9.710153 
 
 0188 
 
 0223 
 
 0259 
 
 0294 
 
 0329 
 
 7 
 
 52 
 
 2588 
 
 2622 
 
 2656 
 
 2690 
 
 2724 
 
 2757 
 
 7 
 
 53 
 
 o364 
 
 0399 
 
 0435 
 
 0470 
 
 o5o5 
 
 o54o 
 
 6 
 
 53 
 
 2791 
 
 2825 
 
 2859 
 
 2893 
 
 2927 
 
 2960 
 
 6 
 
 54 
 
 0575 
 
 061 1 
 
 o646 
 
 0681 
 
 0716 
 
 0751 
 
 5 
 
 54 
 
 2994 
 
 3o28 
 
 3o62 
 
 3096 
 
 3i3o 
 
 3i63 
 
 5 
 
 55 
 
 0786 
 
 0822 
 
 0857 
 
 0892 
 
 0927 
 
 0962 
 
 4 
 
 55 
 
 3197 
 
 323i 
 
 3265 
 
 3299 
 
 3332 
 
 3366 
 
 4 
 
 56 
 
 0997 
 
 I032 
 
 1067 
 
 I io3 
 
 ii38 
 
 1173 
 
 3 
 
 56 
 
 3400 
 
 3434 
 
 3468 
 
 35oi 
 
 3535 
 
 3569 
 
 3 
 
 57 
 
 1208 
 
 1243 
 
 1278 
 
 i3i3 
 
 1 348 
 
 i383 
 
 2 
 
 57 
 
 36o3 
 
 3636 
 
 3670 
 
 3704 
 
 3738 
 
 3771 
 
 2 
 
 58 
 
 1419 
 
 1454 
 
 1489 
 
 l524 
 
 i559 
 
 1594 
 
 I 
 
 58 
 
 38o5 
 
 3839 
 
 3873 
 
 3906 
 
 3940 
 
 3974 
 
 I 
 
 59 
 
 1629 
 
 i664 
 
 1699 
 
 1734 
 
 1769 
 
 i8o4 
 
 
 
 59 
 
 4007 
 
 4o4i 
 
 4075 
 
 4109 
 
 4i42 
 "20" 
 
 4176 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 1 10" 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 10" 
 
 d 
 
 Co-sine of 59 Degrees. 
 
 Co-sine of 58 Degrees. 
 
 „ „ J 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 f.iart^^ 7 11 14 18 21 25 29 32 
 
 p p J 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 r.Jr-art^ 3 7 10 14 17 21 24 27 81 
 

 
 
 
 Logarithmic 
 
 Tangents 
 
 • 
 
 
 
 
 55 
 
 
 Tano^ent of 30 Degrees. 
 
 
 ■| 
 
 Tangent of 31 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 1 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 
 
 9.761439 
 
 i488 
 
 1537 
 
 i585 
 
 i634 
 
 1682 
 
 59 
 
 
 
 9.778774 
 
 «82I 
 
 8869 
 
 8917 
 
 8964 
 
 9012 
 
 59 
 
 I 
 
 1731 
 
 1780 
 
 1828 
 
 1877 
 
 1925 
 
 1974 
 
 58 
 
 I 
 
 9060 
 
 9108 
 
 9155 
 
 9203 
 
 925i 
 
 9298 
 
 58 
 
 2 
 
 2023 
 
 2071 
 
 2120 
 
 2168 
 
 2217 
 
 2266 
 
 57 
 
 2 
 
 9346 
 
 9394 
 
 9441 
 
 9489 
 
 9537 
 
 9584 
 
 57 
 
 3 
 
 23x4 
 
 2363 
 
 24ll 
 
 2460 
 
 25o8 
 
 2557 
 
 56 
 
 3 
 
 9632 
 
 9679 
 
 9727 
 
 9775 
 
 9822 
 
 9870 
 
 56 
 
 4 
 
 2606 
 
 2654 
 
 2703 
 
 2751 
 
 2800 
 
 2848 
 
 55 
 
 4 
 
 9918 
 
 9965 
 
 ..i3 
 
 ..61 
 
 . 108 
 
 .x56 
 
 55 
 
 5 
 
 2897 
 
 2945 
 
 2994 
 
 3o43 
 
 3091 
 
 3x4o 
 
 54 
 
 I 5 
 
 9.780203 
 
 025l 
 
 0299 
 
 o346 
 
 0394 
 
 o44i 
 
 54 
 
 6 
 
 3i88 
 
 3237 
 
 3285 
 
 3334 
 
 3382 
 
 343i 
 
 53 
 
 1 6 
 
 0489 
 
 0537 
 
 o584 
 
 o632 
 
 0679 
 
 0727 
 
 53 
 
 7 
 
 3479 
 
 3528 
 
 3576 
 
 3625 
 
 3673 
 
 3722 
 
 52 
 
 7 
 
 0775 
 
 0822 
 
 0870 
 
 0917 
 
 0965 
 
 ioi3 
 
 52 
 
 8 
 
 3770 
 
 3819 
 
 3867 
 
 3916 
 
 3964 
 
 4oi3 
 
 5i 
 
 8 
 
 1060 
 
 XI08 
 
 ii55 
 
 X203 
 
 X25o 
 
 1298 
 
 5i 
 
 9 
 
 4o6i 
 
 4iio 
 
 4i58 
 
 4207 
 
 4255 
 
 43o4 
 
 5o 
 
 9 
 
 1 346 
 
 1393 
 
 i44i 
 
 i488 
 
 x536 
 
 i583 
 
 5o 
 
 lO 
 
 9.764352 
 
 44oo 
 
 4449I4497 
 
 4546 
 
 4594 
 
 49 
 
 10 
 
 9.781631I1678 
 
 1726 
 
 1774 
 
 1821 
 
 1869 
 
 49 
 
 II 
 
 4643 
 
 4691 
 
 4740 
 
 4788 
 
 4836 
 
 4885 
 
 48 
 
 X I 
 
 19x6 
 
 1964 
 
 2011 
 
 2059 
 
 2106 
 
 2i54 
 
 48 
 
 12 
 
 4933 
 
 4982 
 
 5o3o 
 
 5o79 
 
 5x27 
 
 5x75 
 
 47 
 
 12 
 
 220X 
 
 2249 
 
 2296 
 
 2344 
 
 2391 
 
 2439 
 
 47 
 
 i3 
 
 5224 
 
 5272 
 
 5321 
 
 5369 
 
 5418 
 
 5466 
 
 46 
 
 i3 
 
 2486 
 
 2534 
 
 258x 
 
 2629 
 
 2676 
 
 2724 
 
 46 
 
 i4 
 
 55i4 
 
 5563 
 
 5Sii 
 
 566o 
 
 5708 
 
 5756 
 
 45 
 
 i4 
 
 2771 
 
 2819 
 
 2866 
 
 2914 
 
 2961 
 
 3009 
 
 45 
 
 i5 
 
 58o5 
 
 5853 
 
 5901 
 
 5950 
 
 5998 
 
 6047 
 
 44 
 
 i5 
 
 3o56 
 
 3io4 
 
 3i5x 
 
 3x99 
 
 3246 
 
 3294 
 
 44 
 
 i6 
 
 6095 
 
 6i43|6i92 
 
 6240 
 
 6288 
 
 6337 
 
 43 
 
 x6 
 
 3341 
 
 3388 
 
 3436 
 
 3483 
 
 353i 
 
 3578 
 
 43 
 
 17 
 
 6385 
 
 6433|6482 
 
 653o 
 
 6578 
 
 6627 
 
 42 
 
 17 
 
 3626 
 
 3673 
 
 3721 
 
 3768 
 
 38i6 
 
 3863 
 
 42 
 
 18 
 
 6675 
 
 6723 6772 
 
 6820 
 
 6868 
 
 6917 
 
 4i 
 
 18 
 
 3910 
 
 3958 
 
 4oo5 
 
 4o53 
 
 4ioo 
 
 4i48 
 
 4i 
 
 19 
 
 6965 
 
 70i3 
 
 7062 
 
 7110 
 
 7i58 
 
 7207 
 
 4o 
 
 19 
 
 4195 
 
 4242 
 
 4290 
 
 4337 
 
 4385 
 
 4432 
 
 4o 
 
 20 
 
 9.767255 
 
 73o3 
 
 7352 
 
 7400 
 
 7448 
 
 7496 
 
 39 
 
 20 
 
 9.784479 
 
 4527 
 
 4574 
 
 4622 
 
 4669 
 
 4716 
 
 39 
 
 21 
 
 7545 
 
 7593 
 
 7641 
 
 7690 
 
 7738 
 
 7786 
 
 38 
 
 21 
 
 4764 
 
 48ii 
 
 4859 
 
 4906 
 
 4953 
 
 5ooi 
 
 38 
 
 22 
 
 7334 
 
 7883 
 
 7931 
 
 7979 
 
 8027 
 
 8076 
 
 37 
 
 22 
 
 5o48 
 
 5095 
 
 5i43 
 
 5x90 
 
 5238 
 
 5285 
 
 37 
 
 23 
 
 8124 
 
 8172 
 
 8221 
 
 8269 
 
 83i7 
 
 8365 
 
 36 
 
 23 
 
 5332 
 
 538o 
 
 5427 
 
 5474 
 
 5522 
 
 5569 
 
 36 
 
 24 
 
 84i4 
 
 8462 
 
 85io 
 
 8558 
 
 8606 
 
 8655 
 
 35 
 
 24 
 
 56x6 5664 
 
 57X X 
 
 5758 
 
 58o6 
 
 5853 
 
 35 
 
 25 
 
 8703 
 
 8751 
 
 8799 
 
 8848 
 
 8896 
 
 8944 
 
 34 
 
 25 
 
 5900 5948,5995 
 
 6042 
 
 6090 
 
 6x37 
 
 34 
 
 26 
 
 8992 
 
 9040 
 
 9089 
 
 9137 
 
 9185 
 
 9233 
 
 33 
 
 26 
 
 6i84j6232j6279 
 
 6326 
 
 6374 6421 
 
 33 
 
 27 
 
 9281 
 
 9330 
 
 9378 
 
 9426 
 
 9474 
 
 9522 
 
 32 
 
 27 
 
 6468 
 
 65i6 
 
 6563 
 
 66x0 
 
 6657 
 
 6705 
 
 32 
 
 28 
 
 9571 
 
 9619 9667 
 
 97[5 
 
 9763 
 
 98x1 
 
 3i 
 
 28 
 
 6752 
 
 6799 
 
 6847 
 
 6894 
 
 6941 
 
 6988 
 
 3i 
 
 29 
 
 9860 
 
 9908 9956 
 
 ...4 
 
 ..52 
 
 . 100 
 
 3o 
 
 29 
 
 7o36 
 
 7083 7i3o 
 
 7x78 
 
 7225 
 
 7272 
 
 3o 
 
 3o 
 
 9.770148 
 
 0197 0245 
 
 0293 
 
 o34i 
 
 0389 
 
 29 
 
 3o 
 
 9.7873x9 
 
 7367 
 
 74i4 
 
 7461 
 
 7508 
 
 7556 
 
 29 
 
 3i 
 
 0437 
 
 o485 o534 
 
 o582 
 
 o63o 
 
 0678 
 
 28 
 
 3x 
 
 7603 
 
 7650 
 
 7697 
 
 7745 
 
 7792 
 
 7839 
 
 28 
 
 32 
 
 0726 
 
 0774 0822 
 
 0870 
 
 0919 
 
 0967 
 
 27 
 
 32 
 
 7886 
 
 7934 
 
 7981 
 
 8028 
 
 8075 
 
 8x22 
 
 27 
 
 33 
 
 ioi5 
 
 I063:I II I 
 
 1 159 
 
 1207 
 
 X255 
 
 26 
 
 33 
 
 8170 
 
 8217 
 
 8264 
 
 83ii 
 
 8359 
 
 84o6 
 
 26 
 
 34 
 
 i3o3 
 
 i35ri399 
 
 1 448 
 
 1496 
 
 1 544 
 
 25 
 
 34 
 
 8453 
 
 85oo 
 
 8547 
 
 8595 
 
 8642 
 
 8689 
 
 25 
 
 35 
 
 1592 
 
 i64o 1688 
 
 1736 
 
 X784 
 
 i832 
 
 24 
 
 35 
 
 8736 
 
 8783 
 
 883o 
 
 8878 
 
 8925 
 
 8972 
 
 24 
 
 36 
 
 1880 
 
 1928 1976 
 
 2024 
 
 2072 
 
 2x20 
 
 23i 
 
 36 
 
 9019 
 
 9066 
 
 9114 
 
 9161 
 
 9208 
 
 9255 
 
 23 
 
 37 
 
 2168 
 
 2216 2264 
 
 23l2 
 
 236i 
 
 2409 
 
 22 
 
 37 
 
 9302 
 
 9349 
 
 9397 
 
 9444 
 
 9491 
 
 9538 
 
 22 
 
 38 
 
 2457 
 
 25o5 
 
 2553 
 
 2601 
 
 2649 
 
 2697 
 
 21 
 
 38 
 
 9585 
 
 9632 
 
 9679 
 
 9727 
 
 9774 
 
 9821 
 
 21 
 
 39 
 
 2745 
 
 2793 
 
 2841 
 
 2889 
 
 2937 
 
 2985 
 
 20 
 
 39 
 
 9868 
 
 9915 
 
 9962 
 
 . . .9 
 
 ..57 
 
 . xo4 
 
 20 
 
 4o 
 
 9.773033 
 
 3o8i 
 
 3129 
 
 3i77 
 
 3225 
 
 3273 
 
 19 
 
 4o 
 
 9, 790i5i 
 
 0x98 
 
 0245 
 
 0292 
 
 0339 
 
 o386 
 
 '9 
 
 4i 
 
 3321 
 
 3369 3417 
 
 3465 
 
 35i2 
 
 356o 
 
 18 
 
 4i 
 
 0434 
 
 o48x 
 
 o528 
 
 0575 
 
 0622 
 
 0669 
 
 18 
 
 42 
 
 36o8 
 
 36563704 
 
 3752 
 
 38oo 
 
 3848 
 
 17 
 
 42 
 
 07x6 
 
 0763 
 
 0810 
 
 0857 
 
 0905 
 
 0952 
 
 17 
 
 43 
 
 3896 
 
 3944 3992 
 
 4o4o 
 
 4o88 
 
 4x36 
 
 x6 
 
 43 
 
 0999 
 
 io46 
 
 X093 
 
 I i4o 
 
 1187 
 
 X234 
 
 16 
 
 44 
 
 4i84 
 
 4232 4280 
 
 4328 
 
 4375 
 
 4423 
 
 x5 
 
 44 
 
 1281 
 
 i328 
 
 x375 
 
 1422 
 
 1469 
 
 x5x6 
 
 i5 
 
 45 
 
 4471 
 
 4519 4567 
 
 46x5 
 
 4663 
 
 4711 
 
 i4 
 
 45 
 
 i563 
 
 161 1 
 
 i658 
 
 X705 
 
 1752 
 
 ■799 
 
 i4 
 
 46 
 
 4739 
 
 48074855 
 
 4902 
 
 4950 
 
 4998 
 
 x3 
 
 46 
 
 i846 
 
 1893 
 
 1940 
 
 X987 
 
 2o34 
 
 2081 
 
 i3 
 
 4? 
 
 5o46,5o94 
 
 5i42 
 
 5190 
 
 5238 
 
 5286 
 
 12 
 
 47 
 
 2128 
 
 2175 
 
 2222 
 
 2269 
 
 23i6 
 
 2363 
 
 12 
 
 48 
 
 5333 
 
 538i 
 
 5429 
 
 5477 
 
 5525 
 
 5573 
 
 X I 
 
 48 
 
 24X0 
 
 2457 
 
 25o4 
 
 255x 
 
 2598 
 
 2645 
 
 XI 
 
 49 
 
 5621 
 
 5668;57i6 
 
 5764 
 
 58i2 
 
 586o 
 
 10 
 
 49 
 
 2692 2739 
 
 2786 
 
 2833 
 
 2880 
 
 2927 
 
 10 
 
 So 
 
 9.77590815956 6oo3 
 
 6o5x 
 
 6099 
 
 6x47 
 
 9 
 
 5o 
 
 9.792974|3o2i 
 
 3o68 
 
 3xi5 
 
 3x62 
 
 3209 
 
 9 
 
 5i 
 
 6[95;6243 6290 
 
 6338 
 
 6386 
 
 6434 
 
 8 
 
 5x 
 
 3256 
 
 33o3 
 
 335o 
 
 3397 
 
 3444 
 
 3491 
 
 8 
 
 52 
 
 6482 
 
 6529;6577 
 
 6625 
 
 6673 
 
 672X 
 
 7 
 
 52 
 
 3538 
 
 3585 
 
 3632 
 
 3679 
 
 3726 
 
 3773 
 
 7 
 
 53 
 
 6768 
 
 68166864 
 
 69x2 
 
 6960 
 
 7007 
 
 6 
 
 53 
 
 38x9 
 
 3866 
 
 3913 
 
 3960 
 
 4007 
 
 4o54 
 
 6 
 
 54 
 
 7055 
 
 7103 7i5i 
 
 7199 
 
 7246 
 
 7294 
 
 5 
 
 54 
 
 4ioi 
 
 4i48 
 
 4195 
 
 4242 
 
 4289 
 
 4336 
 
 5 
 
 55 
 
 7342 
 
 7390,7437 
 
 7485 
 
 7533 
 
 7581 
 
 4 
 
 55 
 
 4383 
 
 443o 
 
 4476 
 
 4523 
 
 4570 
 
 46x7 
 
 4 
 
 56 
 
 7628 
 
 7676^7724 
 
 7772 
 
 7819 
 
 7867 
 
 3 
 
 56 
 
 4664 
 
 4711 
 
 4758 
 
 48o5 
 
 4852 
 
 4899 
 
 3 
 
 57 
 
 7915 
 
 7963 8010 
 
 8o58 
 
 8106 
 
 8x54 
 
 2 
 
 57 
 
 4946 
 
 4992 
 
 5o39 
 
 5o86 
 
 5i33 
 
 5i8o 
 
 2 
 
 58 
 
 8201 
 
 8249 8297 
 
 8344 
 
 8392 
 
 844o 
 
 I 
 
 58 
 
 5227 
 
 5274 
 
 532X 
 
 5367 
 
 54x4 
 
 5461 
 
 I 
 
 59 
 
 8 188 
 
 85358583 
 
 863i 
 
 8678 
 
 8726 
 
 
 
 59 
 
 55o8 
 
 5555 
 
 56o2 
 
 5649 
 
 5696 
 
 5742 
 
 
 
 
 00" 
 
 50" 1 40" 
 
 30" 
 
 20" 
 
 10" 
 
 d 
 
 
 60" 
 
 50" 1 40" 
 
 30" 
 
 ^" 
 
 10" 
 
 
 Co-tan Gjent of 59 Degrees. 
 
 Co-tangent of 58 Degrees. 
 
 P, 1 
 
 p ,j 1" 2" 3" 4" 5" 6" 7" 8" 9" ji „ 
 ™"/5 10 14 19 24 29 34 39 43 T' 
 
 „ J 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 *^^'' (5 9 14 19 24 28 33 38 43 
 
56 
 
 LOGAKITHMIC SiNES. 
 
 
 Sine of 32 Degrees. 
 
 
 ii 
 
 Sine of 33 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 
 
 9. 72421C 
 
 4243 
 
 4277 
 
 43ii 
 
 4344 
 
 4378 
 
 59 
 
 
 
 9.736109 
 
 6i4i 
 
 6174 
 
 6206 
 
 6238 
 
 6271 
 
 59 
 
 I 
 
 44i2 
 
 4445 
 
 4479 
 
 45i3 
 
 4546 
 
 458o 
 
 58 
 
 I 
 
 63o3 
 
 6336 
 
 6368 
 
 64oo 
 
 6433 
 
 6465 
 
 58 
 
 2 
 
 46i4 
 
 4647 
 
 468i 
 
 4715 
 
 4748 
 
 4782 
 
 57 
 
 2 
 
 6498 
 
 653o 
 
 6562 
 
 6595 
 
 6627 
 
 6659 
 
 57 
 
 3 
 
 48i6 
 
 4849 
 
 4883 
 
 4917 
 
 4950 
 
 4984 
 
 56 
 
 3 
 
 6692 
 
 6724 
 
 6757 
 
 6789 
 
 6821 
 
 6854 
 
 56 
 
 4 
 
 5oi7 
 
 5o5i 
 
 5o85 
 
 5ii8 
 
 5i52 
 
 5i85 
 
 55 
 
 4 
 
 6886 
 
 6918 
 
 6951 
 
 6983 
 
 7015 
 
 7048 
 
 55 
 
 5 
 
 5219 
 
 5253 
 
 5286 
 
 5320 
 
 5353 
 
 5387 
 
 54 
 
 5 
 
 7080 
 
 71 12 
 
 7145 
 
 7177 
 
 7209 
 
 7241 
 
 54 
 
 6 
 
 5420 
 
 5454 
 
 5488 
 
 5521 
 
 5555 
 
 5588 
 
 53 
 
 6 
 
 7274 
 
 7306 
 
 7338 
 
 7371 
 
 74o3 
 
 7435 
 
 53 
 
 7 
 
 5622 
 
 5655 
 
 5689 
 
 5722 
 
 5756 
 
 5789 
 
 52 
 
 7 
 
 7467 
 
 7500 
 
 7532 
 
 7564 
 
 7597 
 
 7629 
 
 52 
 
 8 
 
 5823 
 
 5856 
 
 5890 
 
 5923 
 
 5957 
 
 5990 
 
 5i 
 
 8 
 
 7661 
 
 7693 
 
 7726 
 
 7758 
 
 7790 
 
 7822 
 
 5i 
 
 9 
 
 6024 
 
 6057 
 
 6091 
 
 6124 
 
 6i58 
 
 6191 
 
 5o 
 
 9 
 
 7855 
 
 7887 
 
 7919 
 
 7951 
 
 7983 
 
 8016 
 
 5o 
 
 10 
 
 9.726225 
 
 6258 
 
 6292 
 
 6325 
 
 6359 
 
 6392 
 
 49 
 
 10 
 
 9.738048 
 
 8080 
 
 8112 
 
 8145 
 
 8177 
 
 8209 
 
 49 
 
 II 
 
 6426 
 
 6459 
 
 6493 
 
 6526 
 
 656o 
 
 6593 
 
 48 
 
 II 
 
 8241 
 
 8273 
 
 83o6 
 
 8338 
 
 8370 
 
 84o2 
 
 48 
 
 12 
 
 6626 
 
 6660 
 
 6693 
 
 6727 
 
 6760 
 
 6794 
 
 47 
 
 12 
 
 8434 
 
 8466 
 
 8499 
 
 853i 
 
 8563 
 
 8595 
 
 47 
 
 i3 
 
 6827 
 
 6860 
 
 6894 
 
 6927 
 
 6961 
 
 6994 
 
 46 
 
 i3 
 
 8627 
 
 8659 
 
 8692 
 
 8724 
 
 8756 
 
 8788 
 
 46 
 
 i4 
 
 7027 
 
 7061 
 
 7094 
 
 7128 
 
 7161 
 
 7194 
 
 45 
 
 i4 
 
 8820 
 
 8852 
 
 8884 
 
 8917 
 
 8949 
 
 8981 
 
 45 
 
 1 i5 
 
 7228 
 
 7261 
 
 7294 
 
 7328 
 
 7361 
 
 7394 
 
 44 
 
 i5 
 
 9013 
 
 9045 
 
 9077 
 
 9109 
 
 9141 
 
 9173 
 
 44 
 
 i6 
 
 7428 
 
 7461 
 
 7494 
 
 7528 
 
 7561 
 
 7594 
 
 43 
 
 16 
 
 9206 
 
 9238 
 
 9270 
 
 9302 
 
 9334 
 
 9366 
 
 43 
 
 I? 
 
 7628 
 
 7661 
 
 7694 
 
 7728 
 
 7761 
 
 7794 
 
 42 
 
 17 
 
 9398 
 
 9430 
 
 9462 
 
 9494 
 
 9526 
 
 9558 
 
 42 
 
 i8 
 
 7828 
 
 7861 
 
 7894 
 
 7928 
 
 7961 
 
 7994 
 
 4i 
 
 18 
 
 9590 
 
 9622 
 
 9654 
 
 9687 
 
 9719 
 
 975i 
 
 4i 
 
 19 
 
 8027 
 
 8061 
 
 8094 
 
 8127 
 
 8161 
 
 8194 
 
 4o 
 
 19 
 
 9783 
 
 9815 
 
 9847 
 
 9879 
 
 991X 
 
 9943 
 
 4o 
 
 20 
 
 9.728227 
 
 8260 
 
 8294 
 
 8327 
 
 836o 
 
 8393 
 
 39 
 
 20 
 
 9.739975 
 
 ...7 
 
 ..39 
 
 . .71 
 
 . xo3 
 
 .i35 
 
 39 
 
 21 
 
 8427 
 
 846o 
 
 8493 
 
 8526 
 
 856o 
 
 8593 
 
 38 
 
 21 
 
 9.740167 
 
 0199 
 
 023l 
 
 0263 
 
 0295 
 
 o327 
 
 38 
 
 22 
 
 8626 
 
 8659 
 
 8692 
 
 8726 
 
 8759 
 
 8792 
 
 37 
 
 22 
 
 0359 
 
 0391 
 
 o423 
 
 o455 
 
 0487 
 
 o5x9 
 
 37 
 
 23 
 
 8825 
 
 8858 
 
 8892 
 
 8925 
 
 8958 
 
 8991 
 
 36 
 
 23 
 
 o55o 
 
 o582 
 
 o6i4 
 
 o646 
 
 0678 
 
 0710 
 
 36 
 
 24 
 
 9024 
 
 9o58 
 
 9091 
 
 9124 
 
 9157 
 
 9190 
 
 35 
 
 24 
 
 0742 
 
 0774 
 
 0806 
 
 o838 
 
 0870 
 
 0902 
 
 35 
 
 25 
 
 9223 
 
 9257 
 
 9290 
 
 9323 
 
 9356 
 
 9389 
 
 34 
 
 25 
 
 0934 
 
 0966 
 
 0997 
 
 X029 
 
 io6x 
 
 X093 
 
 34 
 
 26 
 
 9422 
 
 9455 
 
 9489 
 
 9522 
 
 9555 
 
 9588 
 
 33 
 
 26 
 
 II25 
 
 1157 
 
 1189 
 
 1221 
 
 X253 
 
 X284 
 
 33 
 
 27 
 
 9621 
 
 9654 
 
 9687 
 
 9720 
 
 9753 
 
 9787 
 
 32 
 
 27 
 
 i3x6 
 
 1 348 
 
 i38o 
 
 l4l2 
 
 i444 
 
 1476 
 
 32 
 
 28 
 
 9820 
 
 9853 
 
 9886 
 
 9919 
 
 9952 
 
 9985 
 
 3i 
 
 28 
 
 i5o8 
 
 1539 
 
 1571 
 
 i6o3 
 
 i635 
 
 1667 
 
 3i 
 
 29 
 
 9.730018 
 
 oo5i 
 
 0084 
 
 01 17 
 
 oi5o 
 
 oi83 
 
 3o 
 
 29 
 
 1699 
 
 1730 
 
 1762 
 
 1794 
 
 1826 
 
 i858 
 
 3o 
 
 3o 
 
 9 .730217 
 
 o25o 
 
 0283 
 
 o3i6 
 
 0349 
 
 o382 
 
 29 
 
 3o 
 
 9.741889 
 
 1921 
 
 1953 
 
 1985 
 
 2017 
 
 2049 
 
 29 
 
 3i 
 
 o4i5 
 
 o448 
 
 o48i 
 
 o5i4 
 
 o547 
 
 o58o 
 
 28 
 
 3i 
 
 2080 
 
 2112 
 
 2x44 
 
 21 76 
 
 2207 
 
 2239 
 
 28 
 
 32 
 
 o6i3 
 
 o646 
 
 0679 
 
 0712 
 
 0745 
 
 0778 
 
 27 
 
 32 
 
 2271 
 
 23o3 
 
 2335 
 
 2366 
 
 2398 
 
 243o 
 
 27 
 
 33 
 
 08 1 1 
 
 0844 
 
 0877 
 
 0910 
 
 0943 
 
 0976 
 
 26 
 
 33 
 
 2462 
 
 2493 
 
 2525 
 
 2557 
 
 2589 
 
 2620 
 
 26 
 
 34 
 
 1009 
 
 1 042 
 
 1075 
 
 1 1 08 
 
 I i4i 
 
 1173 
 
 25 
 
 34 
 
 2652 
 
 2684 
 
 2715 
 
 2747 
 
 2779 
 
 28IX 
 
 25 
 
 35 
 
 1206 
 
 1239 
 
 1272 
 
 i3o5 
 
 i338 
 
 1371 
 
 24 
 
 35 
 
 2842 
 
 2874 
 
 2906 
 
 2937 
 
 2969 
 
 3oox 
 
 24 
 
 36 
 
 i4o4 
 
 1437 
 
 1470 
 
 i5o3 
 
 i536 
 
 1569 
 
 23 
 
 36 
 
 3o33 
 
 3o64 
 
 3096 
 
 3x28 
 
 3x59 
 
 3x91 
 
 23 
 
 37 
 
 1602 
 
 i634 
 
 1667 
 
 1700 
 
 1733 
 
 1766 
 
 22 
 
 37 
 
 3223 
 
 3254 
 
 3286 
 
 33x8 
 
 3349 
 
 338x 
 
 22 
 
 38 
 
 1799 
 
 i832 
 
 i865 
 
 1897 
 
 1930 
 
 1963 
 
 21 
 
 38 
 
 34i3 
 
 3444 
 
 3476 
 
 35o8 
 
 3539 
 
 357X 
 
 21 
 
 39 
 
 1996 
 
 2029 
 
 2062 
 
 2095 
 
 2127 
 
 2160 
 
 20 
 
 39 
 
 36o2 
 
 3634 
 
 3666 
 
 3697 
 
 3729 
 
 3761 
 
 20 
 
 4o 
 
 9.732193 
 
 2226 
 
 2259 
 
 2292 
 
 2325 
 
 2357 
 
 19 
 
 40 
 
 9.743792 
 
 3824 
 
 3855 
 
 3887 
 
 3919 
 
 3950 
 
 19 
 
 4i 
 
 2390 
 
 2423 
 
 2456 
 
 2489 
 
 2521 
 
 2554 
 
 18 
 
 4i 
 
 3982 
 
 4oi3 
 
 4o45 
 
 4077 
 
 4 1 08 
 
 4i4o 
 
 18 
 
 42 
 
 2587 
 
 2620 
 
 2653 
 
 2685 
 
 2718 
 
 2751 
 
 17 
 
 42 
 
 417X 
 
 42o3 
 
 4234 
 
 4266 
 
 4297 
 
 4329 
 
 17 
 
 43 
 
 2784 
 
 2816 
 
 2849 
 
 2882 
 
 2gi5 
 
 2948 
 
 x6 
 
 43 
 
 436x 
 
 4392 
 
 4424 
 
 4455 
 
 4487 
 
 45i8 
 
 16 
 
 44 
 
 2980 
 
 3oi3 
 
 3o46 
 
 3079 
 
 3x11 
 
 3i44 
 
 i5 
 
 44 
 
 455o 
 
 458i 
 
 46i3 
 
 4644 
 
 4676 
 
 4707 
 
 x5 
 
 45 
 
 3177 
 
 3210 
 
 3242 
 
 3275 
 
 33o8 
 
 3340 
 
 i4 
 
 45 
 
 4739 
 
 4770 
 
 4802 
 
 4833 
 
 4865 
 
 4896 
 
 i4 
 
 46 
 
 3373 
 
 3406 
 
 3439 
 
 3471 
 
 35o4 
 
 3537 
 
 x3 
 
 46 
 
 4928 
 
 4959 
 
 4991 
 
 5022 
 
 5o54 
 
 5o85 
 
 x3 
 
 47 
 
 3569 
 
 36o2 
 
 3635 
 
 3667 
 
 3700 
 
 3733 
 
 12 
 
 47 
 
 5x17 
 
 5i48 
 
 5i8o 
 
 521 X 
 
 5243 
 
 5274 
 
 12 
 
 48 
 
 3765 
 
 3798 
 
 383i 
 
 3863 
 
 3896 
 
 3929 
 
 II 
 
 48 
 
 53o6 
 
 5337 
 
 5369 
 
 54oo 
 
 543x 
 
 5463 
 
 X I 
 
 ^9 
 
 3961 
 
 3994 
 
 4027 
 
 4o59 
 
 4092 
 
 4i25 
 
 ID 
 
 49 
 
 5494 
 
 5526 
 
 5557 
 
 5589 
 
 5620 
 
 565i 
 
 10 
 
 5o 
 
 9.734157 
 
 4190 
 
 4222 
 
 4255 
 
 4288 
 
 4320 
 
 9 
 
 5o 
 
 9.745683 
 
 5714 
 
 5746 
 
 5777 
 
 58o8 
 
 584o 
 
 9 
 
 ?' 
 
 4353 
 
 4386 
 
 44x8 
 
 445 1 
 
 4483 
 
 45i6 
 
 8 
 
 5i 
 
 5871 
 
 5903 
 
 5934 
 
 5965 
 
 5997 
 
 6028 
 
 8 
 
 52 
 
 4549 
 
 458i 
 
 46i4 
 
 4646 
 
 4679 
 
 4711 
 
 7 
 
 52 
 
 6060 
 
 6091 
 
 6122 
 
 6i54 
 
 6x85 
 
 62x6 
 
 7 
 
 53 
 
 4744 
 
 4777 
 
 4809 
 
 4842 
 
 4874 
 
 4907 
 
 6 
 
 53 
 
 6248 
 
 6279 
 
 63io 
 
 6342 
 
 6373 
 
 64o4 
 
 6 
 
 54 
 
 4939 
 
 4972 
 
 5oo4 
 
 5o37 
 
 5069 
 
 5X02 
 
 5 
 
 54 
 
 6436 
 
 6467 
 
 6498 
 
 653o 
 
 656x 
 
 6592 
 
 5 
 
 55 
 
 5i35 
 
 5167 
 
 5200 
 
 52 32 
 
 5265 
 
 5297 
 
 4 
 
 55 
 
 6624 
 
 6655 
 
 6686 
 
 67x8 
 
 6749 
 
 6780 
 
 4 
 
 56 
 
 533o 
 
 5362 
 
 5395 
 
 5427 
 
 5460 
 
 5492 
 
 3 
 
 56 
 
 6812 
 
 6843 
 
 6874 
 
 6905 
 
 6937 
 
 6968 
 
 3 
 
 57 
 
 5525 
 
 5557 
 
 5590 
 
 5622 
 
 5655 
 
 5687 
 
 
 
 57 
 
 6999 
 
 7o3i 
 
 7062 
 
 7093 
 
 7124 
 
 7x56 
 
 2 
 
 58 
 
 5719 
 
 5752 
 
 5784 
 
 58i7 
 
 5849 
 
 5882 
 
 I 
 
 58 
 
 7187 
 
 7218 
 
 7249 
 
 7281 
 
 7312 
 
 7343 
 
 I 
 
 59 
 
 5914 
 
 5947 
 
 5979 
 
 601 1 
 
 6044 
 
 6076 
 
 
 
 59 
 
 7374 
 
 7406 
 
 7437 
 
 7468 
 
 7499 
 
 7530 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 Co-sine of 57 Degrees. 
 
 Co-sine of 56 Degrees. 
 
 P. 
 
 p„, j 1" 2" 3" 4" 5" 6" 7" 
 *^^" 1 3 7 10 13 17 20 23 
 
 8" < 
 26 3 
 
 
 
 P. 
 
 Part 31 ; 
 
 2" 3" 
 3 10 
 
 4" 
 13 ] 
 
 5" 6 
 16 1[ 
 
 ) 22 
 
 8" 
 25 2 
 
 d" 
 
 9 
 
Logarithmic Tangents. 
 
 57 
 
 
 Tano;ent of 32 Degrees. 
 
 - 
 
 s 
 
 Tangent of 33 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 40" ! 50" 
 
 
 
 9.795789 
 
 5836 
 
 5883 
 
 593c 
 
 5977 
 
 6023 
 
 59 
 
 
 
 9.812517 
 
 2563 
 
 2610 
 
 2656 2702 
 
 2748 
 
 59 
 
 I 
 
 6070 
 
 6117 
 
 6164 
 
 6211 
 
 6258 
 
 63o4 
 
 58 
 
 I 
 
 2794 
 
 2840 
 
 2886 
 
 2932 2978 
 
 3o24 
 
 58 
 
 2 
 
 635i 
 
 6398 
 
 6445 
 
 6492 
 
 6539 
 
 6585 
 
 57 
 
 2 
 
 3070 
 
 3ii6 
 
 3i63 
 
 3209 
 
 3255 
 
 33oi 
 
 57 
 
 3 
 
 6632 
 
 6679 
 
 6726 
 
 6773 
 
 6819 
 
 6866 
 
 56 
 
 3 
 
 3347 
 
 3393 
 
 3439 
 
 3485 3531 
 
 3577 
 
 56 
 
 4 
 
 6913 
 
 6960 
 
 7007 
 
 7053 
 
 7100 
 
 7147 
 
 55 
 
 4 
 
 3623 
 
 3669 
 
 3715 
 
 3761 
 
 3807 
 
 3853 
 
 55 
 
 5 
 
 7194 
 
 7241 
 
 7287 
 
 7334 
 
 7381 
 
 7428 
 
 54 
 
 5 
 
 3899I3945 
 
 3991 
 
 4o37 
 
 4o83 
 
 4129 
 
 54 
 
 6 
 
 7474 
 
 7521 
 
 7568 
 
 7615 
 
 7662 
 
 7708 
 
 53 
 
 6 
 
 4176 
 
 4222 
 
 4268 
 
 43i4 
 
 436o 
 
 44o6 
 
 53 
 
 7 
 
 7755 
 
 7802 
 
 7849 
 
 7895 
 
 7942 
 
 7989 
 
 52 
 
 7 
 
 4452 
 
 4498 
 
 4544 
 
 4590 
 
 4636 
 
 4682 
 
 52 
 
 8 
 
 8o36 
 
 8082 
 
 8129 
 
 8176 
 
 8223 
 
 8269 
 
 5i 
 
 8 
 
 4728 
 
 4774 
 
 4820 
 
 4866 
 
 4912 
 
 4958 
 
 5i 
 
 9 
 
 83i6 
 
 8363 
 
 8409 
 
 8456 
 
 85o3 
 
 855o 
 
 5o 
 
 9 
 
 5oo4 
 
 5o5o 
 
 5096 
 
 5i42 
 
 5i88 
 
 5234 
 
 5o 
 
 10 
 
 9.798596 
 
 8643 
 
 8690 
 
 8737 
 
 8783 
 
 883o 
 
 49 
 
 10 
 
 9.815280 
 
 5326 
 
 5371 
 
 5417 
 
 5463 
 
 5509 
 
 49 
 
 II 
 
 8877 
 
 8923 
 
 8970 
 
 9017 
 
 9063 
 
 9110 
 
 48 
 
 II 
 
 5555 
 
 56oi 
 
 5647 
 
 5693 
 
 5739 
 
 5785 
 
 48 
 
 12 
 
 9157 
 
 9204 
 
 9250 
 
 9297 
 
 9344 
 
 9390 
 
 47 
 
 12 
 
 583i 
 
 5877 
 
 5923 
 
 5969 
 
 6oi5 
 
 6061 
 
 47 
 
 i3 
 
 9437 
 
 9484 
 
 9530 
 
 9577 
 
 9624 
 
 9670 
 
 46 
 
 i3 
 
 6107 
 
 6i53 
 
 6199 
 
 6245 
 
 6291 
 
 6336 
 
 46 
 
 i4 
 
 9717 
 
 9764 
 
 9810 
 
 9857 
 
 9904 
 
 9950 
 
 45 
 
 i4 
 
 6382 
 
 6428 
 
 6474 
 
 6520 
 
 6566 
 
 6612 
 
 45 
 
 i5 
 
 9997 
 
 ..44 
 
 ..90 
 
 .137 
 
 .184 
 
 .23o 
 
 44 
 
 i5 
 
 6658 
 
 6704 
 
 6750 
 
 6796 
 
 6842 
 
 6888 
 
 44 
 
 i6 
 
 9.800277 
 
 o324 
 
 0370 
 
 0417 
 
 o463 
 
 o5io 
 
 43 
 
 16 
 
 6933 
 
 6979 
 
 7025 
 
 7071 
 
 7117 
 
 7163 
 
 43 
 
 17 
 
 o557 
 
 o6o3 
 
 o65o 
 
 0697 
 
 0743 
 
 0790 
 
 43 
 
 17 
 
 7209 
 
 7255 
 
 73oi 
 
 7347 
 
 7392 
 
 7438 
 
 42 
 
 i8 
 
 o836 
 
 o883 
 
 0930 
 
 0976 
 
 1023 
 
 1070 
 
 4i 
 
 18 
 
 7484 
 
 7530 
 
 7576 
 
 7622 
 
 7668 
 
 7714 
 
 4i 
 
 19 
 
 1116 
 
 ii63 
 
 1209 
 
 1256 
 
 i3o3 
 
 1349 
 
 4o 
 
 19 
 
 7759 
 
 7805 
 
 785i 
 
 7897 
 
 7943 
 
 7989 
 
 4o 
 
 20 
 
 9.801396 
 
 1442 
 
 1489 
 
 i535 
 
 i582 
 
 1629 
 
 39 
 
 20 
 
 9.818035 
 
 8081 
 
 8126 
 
 8172 
 
 8218 
 
 8264 
 
 39 
 
 21 
 
 1675 
 
 1722 
 
 1768 
 
 i8i5 
 
 1862 
 
 1908 
 
 38 
 
 21 
 
 83io 
 
 8356 
 
 84o2 
 
 8447 
 
 8493 
 
 8539 
 
 38 
 
 22 
 
 1955 
 
 2001 
 
 2048 
 
 2094 
 
 2l4l 
 
 2187 
 
 37 
 
 22 
 
 8585 
 
 863i 
 
 8677 
 
 8722 
 
 8768 
 
 88i4 
 
 37 
 
 23 
 
 2234 
 
 2281 
 
 2327 
 
 2374 
 
 2420 
 
 2467 
 
 36 
 
 23 
 
 8860 
 
 8906 
 
 8952 
 
 8997 
 
 9043 
 
 9089 
 
 36 
 
 24 
 
 25i3 
 
 256o 
 
 2606 
 
 2653 
 
 2699 
 
 2746 
 
 35 
 
 24 
 
 9135 
 
 9181 
 
 9226 
 
 9272 
 
 9318 
 
 9364 
 
 35 
 
 25 
 
 2792 
 
 2839 
 
 2886 
 
 2932 
 
 2979 
 
 3o25 
 
 34 
 
 25 
 
 9410 
 
 9455 
 
 95oi 
 
 9547 
 
 9593 
 
 9639 
 
 34 
 
 26 
 
 3072 
 
 3ii8 
 
 3i65 
 
 321 I 
 
 3258 
 
 33o4 
 
 33 
 
 26 
 
 9684 
 
 9730 
 
 9776 
 
 9822 
 
 9868 
 
 9913 
 
 33 
 
 27 
 
 335i 
 
 3397 
 
 3444 
 
 3490 
 
 3537 
 
 3583 
 
 32 
 
 27 
 
 9959 
 
 ...5 
 
 ..5i 
 
 ..96 
 
 . 142 
 
 .188 
 
 32 
 
 28 
 
 363o 
 
 3676 
 
 3723 
 
 3769 
 
 38i6 
 
 3862 
 
 3i 
 
 28 
 
 9.820234 
 
 0280 
 
 o325 
 
 0371 
 
 0417 
 
 o463 
 
 3i 
 
 29 
 
 3909 
 
 3955 
 
 4ooi 
 
 4o48 
 
 4094 
 
 4i4i 
 
 3o 
 
 29 
 
 o5o8 
 
 o554 
 
 0600 
 
 o646 
 
 0691 
 
 0737 
 
 3o 
 
 3o 
 
 9.804187 
 
 4234 
 
 4280 
 
 4327 
 
 4373 
 
 4420 
 
 29 
 
 3o 
 
 9.820783 
 
 0829 
 
 0874 
 
 0920 
 
 0966 
 
 1012 
 
 29 
 
 3i 
 
 4466 
 
 45i3 
 
 4559 
 
 46o5 
 
 4652 
 
 4698 
 
 28, 
 
 3i 
 
 1057 
 
 iio3 
 
 1149 
 
 1195 
 
 1240 
 
 1286 
 
 28 
 
 32 
 
 4745 
 
 479' 
 
 4838 
 
 4884 
 
 4930 
 
 4977 
 
 27 
 
 32 
 
 i332 
 
 1377 
 
 i423 
 
 1469 
 
 i5i5 
 
 i56o 
 
 27 
 
 33 
 
 5o23 
 
 5070 
 
 5i 16 
 
 5i63 
 
 5209 
 
 5255 
 
 26 
 
 33 
 
 1606 
 
 i652 
 
 1697 
 
 1743 
 
 1789 
 
 i835 
 
 26 
 
 34 
 
 53o2 
 
 5348 
 
 5395 
 
 5441 
 
 5487 
 
 5534 
 
 25 
 
 34 
 
 1880 
 
 1926 
 
 1972 
 
 2017 
 
 2060 
 
 2109 
 
 25 
 
 35 
 
 558o 
 
 5627 
 
 5673 
 
 5719 
 
 5766 
 
 58i2 
 
 24 
 
 35 
 
 2i54 
 
 2200 
 
 2246 
 
 2292 
 
 2337 
 
 2383 
 
 24 
 
 36 
 
 5859 
 
 5905 
 
 5951 
 
 5998 
 
 6o44 
 
 6091 
 
 23 
 
 36 
 
 2429 
 
 2474 
 
 2520 
 
 2566 
 
 2611 
 
 2657 
 
 23 
 
 37 
 
 6137 
 
 6i83 
 
 623o 
 
 6276 
 
 6322 
 
 6369 
 
 22 
 
 37 
 
 2703 
 
 2748 
 
 2794 
 
 2840 
 
 2885 
 
 2931 
 
 22 
 
 38 
 
 64i5 
 
 6462 
 
 65o8 
 
 6554 
 
 6601 
 
 6647 
 
 21 
 
 38 
 
 2977 
 
 3o22 
 
 3o68 
 
 3ii4 
 
 3i59 
 
 32o5 
 
 21 
 
 39 
 
 6693 
 
 6740 
 
 6786 
 
 6832 
 
 6879 
 
 6925 
 
 20 
 
 39 
 
 325i 
 
 3296 
 
 3342 
 
 3387 
 
 3433 
 
 3479 
 
 20 
 
 4o 
 
 9.806971 
 
 7018 
 
 7064 
 
 7110 
 
 7157 
 
 7203 
 
 19 
 
 4o 
 
 9.823524 
 
 3570 
 
 36i6 
 
 366i 
 
 3707 
 
 3753 
 
 19 
 
 4i 
 
 7249 
 
 7296 
 
 7342 
 
 7388 
 
 7435 
 
 7481 
 
 18 
 
 4i 
 
 3798 
 
 3844 
 
 3889 
 
 3935 
 
 3981 
 
 4026 
 
 18 
 
 42 
 
 7527 
 
 7574 
 
 7620 
 
 7666 
 
 7713 
 
 7759 
 
 17 
 
 42 
 
 4072 
 
 4117 
 
 4i63 
 
 4209 
 
 4254 
 
 43oo 
 
 17 
 
 43 
 
 7805 
 
 785i 
 
 7898 
 
 7944 
 
 7990 
 
 8037 
 
 16 
 
 43 
 
 4345 
 
 4391 
 
 4437 
 
 4482 
 
 4528 
 
 4573 
 
 16 
 
 44 
 
 8o83 
 
 8129 
 
 8176 
 
 8222 
 
 8268 
 
 83i4 
 
 i5 
 
 44 
 
 4619 
 
 4665 
 
 4710 
 
 4756 
 
 48oi 
 
 4847 
 
 i5 
 
 45 
 
 836i 
 
 8407 
 
 8453 
 
 8499 
 
 8546 
 
 8592 
 
 i4 
 
 45 
 
 4893;4938 
 
 4984 
 
 5029 
 
 5075 
 
 5l20 
 
 i4 
 
 46 
 
 8638 
 
 8685 
 
 8731 
 
 8777 
 
 8823 
 
 8870 
 
 i3 
 
 46 
 
 5i66!52i2 
 
 5257 
 
 53o3 
 
 5348 
 
 5394 
 
 i3 
 
 47 
 
 8gi6 
 
 8962 
 
 9008 
 
 9055 
 
 gioi 
 
 9147 
 
 12 
 
 47 
 
 54395485 
 
 553i 
 
 5576 
 
 5622 
 
 5667 
 
 12 
 
 48 
 
 9193 
 
 9240 
 
 9286 
 
 9332 
 
 9378 
 
 9424 
 
 II 
 
 48 
 
 57135758 
 
 58o4 
 
 5849 
 
 5895 
 
 5940 
 
 II 
 
 49 
 
 9471 
 
 9517 
 
 9563 
 
 9609 
 
 9656 
 
 9702 
 
 10 
 
 49 
 
 5986,6032 
 
 6077 
 
 6123 
 
 6168 
 
 6214 
 
 10 
 
 5o 
 
 9.809748 
 
 9794 
 
 9840 
 
 9887 
 
 9933 
 
 9979 
 
 9 
 
 5o 
 
 9.8262596305 
 
 635o 
 
 6396 
 
 644i 
 
 6487 
 
 9 
 
 5i 
 
 9.810025 
 
 0071 
 
 0118 
 
 0164 
 
 0210 
 
 0256 
 
 8 
 
 5i 
 
 65326578 
 
 6623 
 
 6669 
 
 6714 
 
 6760 
 
 8 
 
 52 
 
 o3o2 
 
 0349 
 
 0395 
 
 o44i 
 
 0487 
 
 o533 
 
 7 
 
 52 
 
 68o5,685i 
 
 6896 
 
 6942 
 
 6987 
 
 7033 
 
 7 
 
 53 
 
 o58o 
 
 0626 
 
 0672 
 
 0718 
 
 0764 
 
 0810 
 
 6 
 
 53 
 
 7078 7124 
 
 7169 
 
 7215 
 
 7260 
 
 7306 
 
 6 
 
 54 
 
 0857 
 
 0903 
 
 0949 
 
 0995 
 
 io4i 
 
 1087 
 
 5 
 
 54 
 
 735i 
 
 7397 
 
 7442 
 
 7488 
 
 7533 
 
 7579 
 
 5 
 
 55 
 
 1 1 34 
 
 1180 
 
 1226 
 
 1272 
 
 i3i8 
 
 1 364 
 
 4 
 
 55 
 
 7624 
 
 7670 
 
 7715 
 
 7761 
 
 7806 
 
 7851 
 
 4 
 
 56 
 
 i4io 
 
 1457 
 
 i5o3 
 
 i549 
 
 1595 
 
 i64i 
 
 3 
 
 56 
 
 7897 
 
 7942 
 
 7988 
 
 8o33 
 
 8079 
 
 8124 
 
 3 
 
 57 
 
 1687 
 
 1733 
 
 1780 
 
 1826 
 
 1872 
 
 1918 
 
 2 
 
 57 
 
 8170 8215 
 
 8261 
 
 83o6 
 
 S35i 
 
 8397 
 
 2 
 
 58 
 
 1964 
 
 2010 
 
 2o56 
 
 2102 
 
 2149 
 
 2195 
 
 I 
 
 58 
 
 8442 8488 
 
 S533 
 
 8579 
 
 8624 
 
 8669 
 
 I 
 
 59 
 
 224t 
 
 2287 
 
 2333 
 
 2379 
 
 2425 
 
 2471 
 
 
 
 59 
 
 8715 
 
 8760 
 
 8806 
 
 885i 
 
 8897 
 
 8942 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 30" 
 
 10" 
 
 i 
 
 P 1 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 Co-tangent of 57 Degrees. 
 
 Co-tangent of 56 Degrees. 
 
 P.I 
 
 . . jl" 2" 3" 4" .5" 6" 7" 8" 9" 
 
 ,„, i 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 / 5 9 14 18 23 27 32 37 41 
 
 
 (5 9 14 19 23 28 33 37 42 
 
 r. 1 
 
58 
 
 LOGAKITHMIO SiNES. 
 
 a 
 
 iS 
 
 Sine of 34 Degrees. 
 
 o 
 
 1 
 
 2 
 
 3 
 
 4 
 5 
 6 
 
 7 
 
 8 
 
 9 
 
 10 9 
 
 1 1 
 
 12 
 
 i3 
 i49 
 i5 
 i6 
 
 17 
 
 i8 
 
 '9 
 
 20 9 
 21 
 
 22 
 23 
 
 24 
 25 
 
 26 
 27 
 
 28 
 29 
 
 3o 9 
 3i 
 
 32 
 
 33 
 34 
 35 
 36 
 
 37 
 
 38 
 
 39 
 
 4o 9 
 
 4i 
 
 42 
 
 43 
 
 44 
 
 45 
 
 46 
 
 47 
 48 
 
 49 
 5o ( 
 5i 
 
 52 
 
 53 
 54 
 55 
 56 
 
 57 
 58 
 
 59 
 
 9.747^62 
 
 10" 
 
 7749 
 7936 
 8i23 
 83io 
 
 8497 
 8683 
 
 8870 
 
 9o56 
 
 9243 
 
 .749429 
 9615 
 9801 
 9987 
 
 ,750172 
 o358 
 o543 
 0729 
 0914 
 1099 
 
 ,751284 
 1469 
 i654 
 1839 
 
 2023 
 2208 
 2392 
 2576 
 2760 
 2944 
 .753128 
 
 33i2 
 3495 
 3679 
 3862 
 4o46 
 4229 
 44 1 2 
 4595 
 
 477» 
 .754960 
 5i43 
 5326 
 55o8 
 5690 
 5872 
 6o54 
 6236 
 64i8 
 6600 
 1.756782 
 6963 
 7144 
 7326 
 7507 
 7688 
 7869 
 8o5o 
 823o 
 84ii 
 
 7593 
 7780 
 7967 
 
 8i54 
 834i 
 8528 
 
 8714 
 8901 
 9087 
 9274 
 9460 
 9646 
 9832 
 ..18 
 
 02o3 
 
 0389 
 0574 
 0760 
 0945 
 I i3o 
 i3i5 
 i5oo 
 i685 
 1869 
 2o54 
 
 2238 
 
 2423 
 
 2607 
 
 2791 
 
 2975 
 
 3i59 
 
 3342 
 
 3526 
 
 3710 
 
 3893 
 
 4076 
 
 4259 
 
 4442 
 
 4625 
 
 48o8 
 
 4991 
 
 5173 
 
 5356 
 
 5538 
 
 5721 
 
 5903 
 
 6o85 
 
 6267 
 
 6448 
 
 663o 
 
 6812 
 
 6993 
 
 7175 
 
 7356 
 
 7537 
 
 7718 
 
 7899 
 
 8080 
 
 8260 
 
 844 1 
 
 20" 
 
 60" 
 
 7624 
 7811 
 7998 
 8i85 
 8372 
 8559 
 8745 
 8932 
 9118 
 93o5 
 9491 
 9677 
 9863 
 48 
 0234 
 0420 
 o6o5 
 0791 
 0976 
 1 161 
 1 346 
 i53i 
 1715 
 1900 
 2o85 
 2269 
 2453 
 2637 
 2822 
 3oo5 
 3189 
 3373 
 3557 
 3740 
 3923 
 4107 
 4290 
 4473 
 4656 
 4839 
 
 5o2I 
 
 52o4 
 5386 
 5569 
 5751 
 5933 
 6ii5 
 6297 
 
 6479 
 
 6660 
 
 6842 
 
 7023 
 
 72o5 
 
 7386 
 
 7567 
 
 7748 
 
 7929 
 
 8110 
 
 8290 
 
 8471 
 
 30" 
 
 50" 
 
 7655 
 7842 
 8o3o 
 8216 
 84o3 
 8590 
 8777 
 8963 
 9149 
 9336 
 9522 
 9708 
 9894 
 
 79 
 0265 
 
 045 1 
 o636 
 0821 
 1007 
 1 192 
 1377 
 i56i 
 1746 
 1931 
 21 15 
 23oo 
 2484 
 2668 
 
 2852 
 
 3o36 
 
 3220 
 
 34o4 
 3587 
 3771 
 3954 
 4i37 
 4320 
 45o3 
 4686 
 4869 
 5o52 
 52 34 
 
 5417 
 
 5599 
 
 5781 
 
 5963 
 
 6i45 
 
 6327 
 
 65o9 
 
 6691 
 
 6872 
 
 7054 
 
 7235 
 
 7416 
 
 7597 
 
 7778 
 
 7959 
 
 8i4o 
 
 8321 
 
 85oi 
 
 40" 
 
 7686 
 7874 
 8061 
 8248 
 8434 
 8621 
 8808 
 8994 
 9180 
 9367 
 9553 
 9739 
 9925 
 1 10 
 0296 
 0482 
 0667 
 o852 
 1037 
 1222 
 i4o7 
 1592 
 1777 
 1962 
 2 1 46 
 233o 
 25i5 
 2699 
 2883 
 3067 
 325i 
 3434 
 36i8 
 38oi 
 3985 
 4i68 
 435i 
 4534 
 4717 
 4900 
 5082 
 5265 
 
 5447 
 5629 
 58i2 
 5994 
 6176 
 6358 
 
 50" 
 
 7718 
 905 
 8092 
 8279 56 
 8466J55 
 8652 54 
 
 59 
 
 58 
 
 57 
 
 8839 
 9025 
 9212 
 9398 
 
 9584'49 
 9770 48 
 
 53 
 
 52 
 
 5i 
 5o 
 
 47 
 46 
 
 45 
 44 
 43 
 42 
 
 4i 
 
 9956 
 
 i4i 
 o327 
 o5i2 
 0698 
 o883 
 1068 
 i253j4o 
 i438|39 
 1623 
 1808 
 1992 
 2177 
 236i 
 2545 
 2729 
 2914 
 3097 
 3281 
 3465 
 3648 
 3832 
 4oi5 
 4198 
 438i 
 4564 
 4747 
 4930 
 5ii3 
 5295 
 5478 
 
 38 
 
 37 
 36 
 
 35 
 34 
 33 
 
 32 
 
 3i 
 3o 
 29 
 
 28 
 27 
 26 
 
 25 
 
 24 
 
 23 
 22 
 21 
 20 
 
 19 
 
 18 
 
 17 
 16 
 
 i5 
 
 566o 
 
 5842 
 6o24|i4 
 6206113 
 6388 
 
 6539|6570 
 
 40" 
 
 6721 
 6903 
 
 7084 
 7265 
 
 7446 
 7627 
 7808 
 7989 
 
 8170 
 835i 
 853i 
 
 30" 
 
 6751 
 6933 
 7114 
 7295 
 
 7477' 
 7658 
 
 7839 
 
 8019 
 
 8200 
 
 838i 
 
 856i 
 
 Sine of 35 Degrees. 
 
 0" 
 
 20" 
 
 10" 
 
 P. Part 
 
 Co-sine of 55 Degrees. 
 
 ( 1" 2" 3" 4" 5" 6" 7" 
 "/ 3 6 9 12 15 18 21 
 
 o 
 I 
 
 2 
 3 
 4 
 5 
 6 
 
 7 
 
 8 
 
 9 
 10 
 
 1 1 
 12 
 i3 
 i4 
 i5 
 16 
 
 17 
 
 18 
 
 19 
 
 20 
 
 21 
 22 
 
 23 
 
 24 
 
 25 
 
 26 
 27 
 28 
 29 
 
 3o 
 3i 
 
 32 
 
 33 
 34 
 35 
 36 
 
 37 
 38 
 39 
 40 
 
 4i 
 42 
 43 
 44 
 45 
 46 
 
 47 
 
 48 
 
 49 
 5o 
 
 5i 
 
 52 
 
 53 
 54' 
 55 
 56 
 
 57 
 58 
 59 
 
 10" 
 
 25 
 
 s 
 
 9^ 
 
 28 
 
 758591 
 8772 
 8952 
 9132 
 9312 
 9492 
 9672 
 9852 
 760031 
 021 1 
 760390 
 0569 
 0748 
 0927 
 1 106 
 1285 
 1 464 
 1642 
 1821 
 1999 
 762177 
 2356 
 2534 
 2712 
 2889 
 8067 
 3245 
 3422 
 36oo 
 3777 
 , 768954 
 4i3i 
 43o8 
 4485 
 4662 
 4838 
 5oi5 
 6191 
 5367 
 5544 
 . 765720 
 5896 
 6072 
 6247 
 6423 
 6598 
 6774 
 6949 
 7124 
 7800 
 . 767475 
 7649 
 7824 
 
 7999 
 8178 
 
 8348 
 
 8522 
 
 8697 
 8871 
 9045 
 
 20" 
 
 30" 
 
 8621 
 8802 
 8982 
 9162 
 9342 
 9522 
 9702 
 9881 
 0061 
 0240 
 0420 
 0599 
 0778 
 0957 
 II 36 
 i3i5 
 
 1494 
 
 1672 
 
 i85i 
 
 2029 
 
 2207 
 
 2385 
 
 2563 
 
 2741 
 
 2919 
 
 8097 
 
 8274 
 
 8452 
 
 8629 
 
 38o6 
 
 8984 
 
 4i6i 
 
 4338 
 
 45x4 
 
 4691 
 
 4868 
 
 5o44 
 
 5221 
 5397 
 5578 
 
 5749 
 5925 
 61OI 
 6277 
 
 6452 
 6628 
 68o3 
 6978 
 7154 
 7829 
 75o4 
 
 7679 
 7858 
 
 8028 
 
 8208 
 
 8877 
 
 855i 
 
 8726 
 
 8900 
 
 9074 
 
 865i 
 
 8832 
 
 9012 
 
 9192 
 
 9872 
 
 9552 
 
 9782 
 
 9911 
 
 0091 
 
 0270 
 
 o45o 
 
 0629 
 
 0808 
 
 0987 
 
 1166 
 
 1845 
 
 i523 
 
 1702 
 
 1880 
 
 2059 
 
 2287 
 
 24i5 
 
 2598 
 
 2771 
 
 2949 
 
 8126 
 
 8804 
 
 3481 
 
 3659 
 
 3886 
 
 4oi3 
 
 4190 
 
 4367 
 
 4544 
 
 4720 
 
 4897 
 
 5074 
 
 525o 
 
 5426 
 
 56o2 
 
 5778 
 
 5954 
 
 6i3o 
 
 63o6 
 
 648i 
 
 6657 
 
 6882 
 
 7008 
 
 7188 
 
 7858 
 
 7533 
 
 7708 
 
 7882 
 
 8057 
 
 8282 
 
 84o6 
 
 858o 
 
 8755 
 
 8929 
 
 9108 
 
 40" 
 
 8681 
 
 8862 
 
 9042 
 
 9222 
 
 9402 
 
 9582 
 
 9762 
 
 9941 
 
 0121 
 
 0800 
 
 o48o 
 
 0659 
 
 o638 
 
 1017 
 
 1 196 
 
 1874 
 
 i553 
 
 1782 
 
 1910 
 
 2088 
 
 2267 
 
 2445 
 
 2628 
 
 2801 
 
 2978 
 
 8i56 
 
 8833 
 
 85ii 
 
 3688 
 
 8865 
 
 4o43 
 
 4220 
 
 4896 
 
 4578 
 
 4750 
 
 4926 
 
 5io3 
 
 5279 
 
 5456 
 
 5682 
 
 58o8 
 
 5984 
 
 6159 
 
 6335 
 
 65ii 
 
 6686 
 
 6862 
 
 7087 
 
 7212 
 
 7887 
 
 7562 
 
 7787 
 
 7912 
 
 8086 
 
 8261 
 
 8485 
 
 8609 
 
 8784 
 
 8958 
 
 9182 
 
 50" 
 
 8712 
 8892 
 9072 
 9252 
 9482 
 9612 
 9792 
 9971 
 oi5i 
 o83o 
 o5o9 
 0689 
 0868 
 io47 
 
 1225 
 
 i4o4 
 i583 
 1761 
 1940 
 2118 
 2296 
 2474 
 
 2652 
 
 2880 
 8008 
 
 3i86 
 8868 
 3540 
 8718 
 8895 
 4072 
 4249 
 4426 
 46o8 
 
 8742 
 8922 
 9102 
 9282 
 9462 
 9642 
 9822 
 I 
 0181 
 o36o 
 0539 
 0718 
 0898 
 1076 
 1255 
 1434 
 i6i3 
 1791 
 1969 
 2i48 
 2826 
 25o4 
 
 2682 
 2860 
 
 3o88 
 32i5 
 8898 
 3570 
 
 8747 
 8925 
 
 4l02 
 4279 
 4455 
 
 4632 
 
 477914809 
 
 60" 
 
 50" I 40" 
 
 4956 
 5i32 
 5309 
 5485 
 566i 
 5887 
 6oi3 
 6189 
 6864 
 654o 
 6715 
 6891 
 7066 
 7241 
 7416 
 7591 
 7766 
 7941 
 8ii5 
 8290 
 
 8464 
 8688 
 88i3 
 8987 
 9161 
 
 30" 
 
 4985 
 5i62 
 5888 
 55i4 
 5690 
 5866 
 6o42 
 6218 
 6894 
 6569 
 6745 
 6920 
 7095 
 7270 
 7445 
 7620 
 7795 
 7970 
 
 8i44 
 8819 
 8493 
 8668 
 8842 
 9016 
 9190 
 
 59 
 
 58 
 
 57 
 56 
 
 55 
 54 
 53 
 
 52 
 
 5i 
 5o 
 
 49 
 
 48 
 
 47 
 46 
 
 45 
 44 
 43 
 42 
 4i 
 4o 
 
 39 
 
 38 
 
 37 
 86 
 35 
 34 
 88 
 82 
 3i 
 3o 
 29 
 28 
 27 
 26 
 
 25 
 
 24 
 28 
 22 
 21 
 20 
 
 20" 
 
 10" 
 
 19 
 
 18 
 
 17 
 16 
 
 i5 
 i4 
 18 
 12 
 II 
 
 ID 
 
 9 
 
 8 
 
 7 
 6 
 5 
 4 
 3 
 2 
 I 
 o 
 
 P. Part 
 
 Co-sine of 54 Degrees. S 
 
 j 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 (3 6 9 12 15 18 21 24 27 
 

 
 
 
 Logarithmic 
 
 Tangents 
 
 • 
 
 
 
 
 59 
 
 .g 
 
 Tangent of 34 Degrees. 
 
 
 .S 
 
 Tangent of 35 Degrees. 
 
 59 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 
 
 
 
 9.828987 
 
 9033 
 
 9078 
 
 9124 
 
 9169 
 
 9215 
 
 59 
 
 
 
 9.845227 
 
 5272 
 
 53i6 
 
 536 1 
 
 5406 545i 
 
 I 
 
 9260 
 
 93o5 
 
 9351 
 
 9396 
 
 9442 
 
 9487 
 
 58 
 
 I 
 
 5496 
 
 5540 
 
 5585 
 
 563o 
 
 5675 
 
 5720 
 
 58 
 
 2 
 
 9532 
 
 9578 
 
 9623 
 
 9669 
 
 9714 
 
 9759 
 
 57 
 
 2 
 
 5764 
 
 5809 
 
 5854 
 
 5899 
 
 5944 
 
 5988 
 
 57 
 
 3 
 
 9805 
 
 9850 
 
 9895 
 
 9941 
 
 9986 
 
 ..32 
 
 56 
 
 3 
 
 6o33 
 
 6078 
 
 6123 
 
 6168 
 
 6212 
 
 6257 
 
 56 
 
 4 
 
 9.830077 
 
 OI22 
 
 0168 
 
 02l3 
 
 0258 
 
 o3o4 
 
 55 
 
 4 
 
 63o2 
 
 6347 
 
 6391 
 
 6436 
 
 648 1 
 
 6526 
 
 55 
 
 5 
 
 o349 
 
 0395 
 
 o44o 
 
 o485 
 
 o53i 
 
 0576 
 
 54 
 
 5 
 
 6570 
 
 66i5 
 
 6660 
 
 6705 
 
 6750 
 
 6794 
 
 54 
 
 6 
 
 0621 
 
 0667 
 
 0712 
 
 0757 
 
 o8o3 
 
 o848 
 
 53 
 
 6 
 
 6839 
 
 6884 
 
 6929 
 
 6973 
 
 7018 
 
 7063 
 
 53 
 
 7 
 
 0893 
 
 0939 
 
 0984 
 
 1029 
 
 1075 
 
 1 120 
 
 52 
 
 7 
 
 7108 
 
 7r52 
 
 7197 
 
 7242 
 
 7287 
 
 7331 
 
 52 
 
 8 
 
 ii65 
 
 121 I 
 
 1256 
 
 i3oi 
 
 1 347 
 
 1392 
 
 5i 
 
 8 
 
 7376 
 
 7421 
 
 7465 
 
 75io 
 
 7555 
 
 7600 
 
 5i 
 
 9 
 
 1437 
 
 i483 
 
 i528 
 
 1573 
 
 1619 
 
 i664 
 
 5o 
 
 9 
 
 7644 
 
 7689 
 
 7734 
 
 7779 
 
 7823 
 
 786S 
 
 5o 
 
 10 
 
 g. 831709 
 
 1755 
 
 1800 
 
 1845 
 
 1891 
 
 1936 
 
 49 
 
 10 
 
 9.847913 
 
 7957 8002 
 
 8047 
 
 8092 
 
 8i36 
 
 49 
 
 II 
 
 1981 
 
 2026 
 
 2072 
 
 21 17 
 
 2162 
 
 2208 
 
 48 
 
 1 1 
 
 8181 
 
 8226 
 
 8270 
 
 83i5 
 
 836o 
 
 84o5 
 
 48 
 
 13 
 
 2253 
 
 2298 
 
 2343 
 
 2389 
 
 2434 
 
 2479 
 
 47 
 
 12 
 
 8449 
 
 8494 
 
 8539 
 
 8583 
 
 8628 
 
 8673 
 
 47 
 
 i3 
 
 2525 
 
 2570 
 
 26i5 
 
 2660 
 
 2706 
 
 2751 
 
 46 
 
 i3 
 
 8717 
 
 8762 
 
 8807 
 
 885i 
 
 8896 
 
 8941 
 
 46 
 
 i4 
 
 2796 
 
 2842 
 
 2887 
 
 2932 
 
 2977 
 
 3o23 
 
 45 
 
 i4 
 
 8986 
 
 9o3o 
 
 9075 
 
 9120 
 
 9164 
 
 9209 
 
 45 
 
 i5 
 
 3o68 
 
 3ii3 
 
 3i58 
 
 32o4 
 
 3249 
 
 3294 
 
 44 
 
 i5 
 
 9254 
 
 9298 
 
 9343 
 
 9388 
 
 9432 
 
 9477 
 
 44 
 
 i6 
 
 3339 
 
 3385 
 
 343o 
 
 3475 
 
 3520 
 
 3566 
 
 43 
 
 16 
 
 9522 
 
 9566 
 
 961 1 
 
 9656 
 
 9700 
 
 9745 
 
 43 
 
 17 
 
 36ii 
 
 3656 
 
 3701 
 
 3747 
 
 3792 
 
 3837 
 
 42 
 
 17 
 
 9790 
 
 9834 
 
 9879 
 
 9924 
 
 9968 
 
 ..i3 
 
 42 
 
 i8 
 
 3882 
 
 3927 
 
 3973 
 
 4oi8 
 
 4o63 
 
 4108 
 
 4i 
 
 18 
 
 9.85oo57 
 
 0102 
 
 0147 
 
 0191 
 
 0236 
 
 0281 
 
 4i 
 
 19 
 
 4i54 
 
 4199 
 
 4244 
 
 4289 
 
 4334 
 
 438o 
 
 4o 
 
 19 
 
 o325 
 
 0370 
 
 o4i5 
 
 0459 
 
 o5o4 
 
 o548 
 
 4o 
 
 20 
 
 9,834425 
 
 4470 
 
 45i5 
 
 456i 
 
 4606 
 
 465i 
 
 39 
 
 20 
 
 9.850593 
 
 o638 
 
 0682 
 
 0727 
 
 0772 
 
 0816 
 
 39 
 
 21 
 
 4696 
 
 4741 
 
 4787 
 
 4832 
 
 4877 
 
 4922 
 
 38 
 
 21 
 
 0861 
 
 0905 
 
 0950 
 
 0995 
 
 loSg 
 
 1084 
 
 38 
 
 22 
 
 4967 
 
 5oi2 
 
 5o58 
 
 5io3 
 
 5i48 
 
 5193 
 
 37 
 
 22 
 
 1129 
 
 1 173 
 
 1218 
 
 1262 
 
 i3o7 
 
 i352 
 
 37 
 
 23 
 
 5238 
 
 5284 
 
 5329 
 
 5374 
 
 5419 
 
 5464 
 
 36 
 
 23 
 
 1396 
 
 i44i 
 
 i485 
 
 i53o 
 
 1575 
 
 1619 
 
 36 
 
 24 
 
 5509 
 
 5555 
 
 56oo 
 
 5645 
 
 5690 
 
 5735 
 
 35 
 
 24 
 
 i664 
 
 1708 
 
 1753 
 
 1797 
 
 1842 
 
 1887 
 
 35 
 
 25 
 
 5780 
 
 5826 
 
 5871 
 
 5916 
 
 5961 
 
 6006 
 
 34 
 
 25 
 
 1931 
 
 1976 
 
 2020 
 
 2o65 
 
 21 10 
 
 2i54 
 
 34 
 
 26 
 
 6o5i 
 
 6096 
 
 6142 
 
 6187 
 
 62 32 
 
 6277 
 
 33 
 
 26 
 
 2199 
 
 2243 
 
 2288 
 
 2332 
 
 2377 
 
 2422 
 
 33 
 
 27 
 
 6322 
 
 6367 
 
 64i2 
 
 6458 
 
 65o3 
 
 6548 
 
 32 
 
 27 
 
 2466 
 
 25l I 
 
 2555 
 
 2600 
 
 2644 
 
 2689 
 
 32 
 
 38 
 
 6593 
 
 6638 
 
 6683 
 
 6728 
 
 6773 
 
 6819 
 
 3i 
 
 28 
 
 2733 
 
 2778 
 
 2823 
 
 2867 
 
 2912 
 
 2956 
 
 3i 
 
 29 
 
 6864 
 
 6909 
 
 6954 
 
 6999 
 
 7044 
 
 7089 
 
 3o 
 
 29 
 
 3ooi 
 
 3o45 
 
 3090 
 
 3i34 
 
 3i79 
 
 3223 
 
 3o 
 
 3o 
 
 9.837134 
 
 7179 
 
 7225 
 
 7270 
 
 73i5 
 
 7360 
 
 29 
 
 3o 
 
 9.853268 
 
 33i3 
 
 3357 
 
 3402 
 
 3446 
 
 3491 
 
 29 
 
 3i 
 
 74o5 
 
 745o 
 
 7495 
 
 7540 
 
 7585 
 
 763o 
 
 28 
 
 3i 
 
 3535 
 
 358o 
 
 3624 
 
 3669 
 
 3713 
 
 3758 
 
 28 
 
 32 
 
 7675 
 
 7721 
 
 7766 
 
 7811 
 
 7856 
 
 7901 
 
 27 
 
 32 
 
 38o2 
 
 3847 
 
 3891 
 
 3936 
 
 3980 
 
 4o25 
 
 27 
 
 33 
 
 7946 
 
 799' 
 
 8o36 
 
 8081 
 
 8126 
 
 8171 
 
 26 
 
 33 
 
 4069 
 
 4ii4i4i58 
 
 42o3 
 
 4247 
 
 4292 
 
 26 
 
 34 
 
 8216 
 
 8261 
 
 83o7 
 
 8352 
 
 8397 
 
 8442 
 
 25 
 
 34 
 
 4336 
 
 438i 
 
 4425 
 
 4470 
 
 45i4 
 
 4559 
 
 25 
 
 35 
 
 8487 
 
 8532 
 
 8577 
 
 8622 
 
 8667 
 
 8712 
 
 24 
 
 35 
 
 46o3 
 
 4648 
 
 4692 
 
 4737 
 
 4781 
 
 4826 
 
 24 
 
 36 
 
 8757 
 
 8802 
 
 8847 
 
 8892 
 
 8937 
 
 8982 
 
 23 
 
 36 
 
 4870 
 
 4915 
 
 4959 
 
 5oo4 
 
 5o48 
 
 5093 
 
 23 
 
 37 
 
 9027 
 
 9072 
 
 9117 
 
 9162 
 
 9207 
 
 9252 
 
 22 
 
 37 
 
 5i37 
 
 5i82 
 
 5226 
 
 5271 
 
 53i5 
 
 536o 
 
 22 
 
 38 
 
 9297 
 
 9343 
 
 9388 
 
 9433 
 
 9478 
 
 9523 
 
 21 
 
 38 
 
 54o4 
 
 5449 
 
 5493 
 
 5537 
 
 5582 
 
 5626 
 
 21 
 
 39 
 
 9568 
 
 9613 
 
 9658 
 
 9703 
 
 9748 
 
 9793 
 
 20 
 
 39 
 
 5671 
 
 5715 
 
 5760 
 
 58o4 
 
 5849 
 
 5893 
 
 20 
 
 4o 
 
 9.839838 
 
 9883 
 
 9928 
 
 9973 
 
 ..i8 
 
 ..63 
 
 19 
 
 40 
 
 9.855938 
 
 5982 
 
 6026 
 
 6071 
 
 6ii5 
 
 6160 
 
 19 
 
 4i 
 
 9. 84oio8 
 
 oi53 
 
 0198 
 
 0243 
 
 0288 
 
 o333 
 
 18 
 
 4i 
 
 6204 
 
 6249 
 
 6293 
 
 6338 
 
 6382 
 
 6426 
 
 18 
 
 42 
 
 0378 
 
 0423 
 
 o468 
 
 o5i3 
 
 o558 
 
 o6o3 
 
 17 
 
 42 
 
 6471 
 
 65x5 
 
 656o 
 
 6604 
 
 6649 
 
 6693 
 
 17 
 
 43 
 
 0648 
 
 0693 
 
 0737 
 
 0782 
 
 0827 
 
 0872 
 
 16 
 
 43 
 
 6737 
 
 67826826 
 
 6871 
 
 6gi5 
 
 6959 
 
 16 
 
 44 
 
 0917 
 
 0962 
 
 1007 
 
 io52 
 
 1097 
 
 I l42 
 
 i5 
 
 44 
 
 7004 
 
 7048 7093 
 
 7137 
 
 7182 
 
 7226 
 
 i5 
 
 45 
 
 1187 
 
 1232 
 
 1277 
 
 l322 
 
 i367 
 
 l4l2 
 
 i4 
 
 45 
 
 7270 
 
 73i5|7359 
 
 74o4 
 
 7448 
 
 7492 
 
 i4 
 
 46 
 
 1457 
 
 l502 
 
 i547 
 
 1592 
 
 1637 
 
 1682 
 
 i3 
 
 46 
 
 7537 
 
 7581 
 
 7626 
 
 7670 
 
 7714 
 
 7759 
 
 i3 
 
 47 
 
 1727 
 
 I77I 
 
 1816 
 
 1861 
 
 1906 
 
 I95I 
 
 12 
 
 47 
 
 7803 
 
 7848 
 
 7892 
 
 7936 
 
 7981 
 
 8025 
 
 12 
 
 48 
 
 1996 
 
 204l 
 
 2086 
 
 2l3l 
 
 2176 
 
 2221 
 
 11 
 
 48 
 
 8069 
 
 8ii4 
 
 8i58 
 
 8203 
 
 8247 
 
 8291 
 
 1 1 
 
 49 
 
 2266 
 
 23ll 
 
 2355 
 
 2400 
 
 2445 
 
 2490 
 
 10 
 
 49 
 
 8336 
 
 838o 
 
 8424 
 
 8469 
 
 85i3 
 
 8558 
 
 10 
 
 5o 
 
 9.842535 
 
 258o 
 
 2625 
 
 2670 
 
 2715 
 
 2760 
 
 9 
 
 5o 
 
 9.858602 
 
 864618691 
 
 8735 
 
 8779 
 
 8824 
 
 9 
 
 5i 
 
 28o5 
 
 2849 
 
 2894 
 
 2939 
 
 2984 
 
 3029 
 
 8 
 
 5i 
 
 8868 
 
 8912 8957 
 
 9001 
 
 9045 
 
 9090 
 
 8 
 
 52 
 
 3074 
 
 3II9 
 
 3i64 
 
 3209 
 
 3253 
 
 3298 
 
 7 
 
 52 
 
 9134 
 
 9178 9223 
 
 9267 
 
 9311 
 
 9356 
 
 7 
 
 53 
 
 3343 
 
 3388 
 
 3433 
 
 3478 
 
 3523 
 
 3568 
 
 6 
 
 53 
 
 9400 
 
 9444:9489 
 
 9533 
 
 9577 
 
 9622 
 
 6 
 
 54 
 
 36i2 
 
 3657 
 
 3702 
 
 3747 
 
 3792 
 
 3837 
 
 5 
 
 54 
 
 9666 
 
 9710I9755 
 
 9799 
 
 9843 
 
 9888 
 
 5 
 
 55 
 
 3882 
 
 3927 
 
 3971 
 
 4oi6 
 
 4o6i 
 
 4 1 06 4 
 
 55 
 
 9932 
 
 9976 
 
 ..21 
 
 ..65 
 
 . 109 
 
 .i54 
 
 4 
 
 56 
 
 4i5i 
 
 4196 
 
 4241 
 
 4285 
 
 i433o 
 
 4375 3 
 
 56 
 
 9.^60198 
 
 0242 
 
 0287 
 
 o33i 
 
 0375 
 
 0420 
 
 3 
 
 57 
 
 4420 
 
 4465 
 
 45io 
 
 4554 
 
 14599 
 
 4644 2 
 
 57 
 
 o464 
 
 o5o8 
 
 o552 
 
 0597 
 
 o64i 
 
 o685 
 
 2 
 
 58 
 
 4689 
 
 4734 
 
 4779 
 
 4823 
 
 4868 
 
 4913 I 
 
 58 
 
 0730 
 
 0774 
 
 0818 
 
 0862 
 
 0907 
 
 ogSi 
 
 I 
 
 5g 
 
 4958 
 
 5oo3 
 
 5o48 
 
 5092 
 
 l5i37 
 
 5i82 
 
 
 
 59 
 
 0995 
 
 io4o 
 
 io84 
 
 1128 
 
 1 172 
 
 1217 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 1 20" 10" 
 
 . d 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 Co-tangent of 55 Degrees. 
 
 Co-tangent of 54 Degrees. 
 
 
 Po,f i 1" 2" 3" 4" 5" 6" 7" 8" 
 ^^"^5 9 14 18 23 27 32 36 
 
 9" 
 
 41 
 
 P. 
 
 M" 2" 3" 4" 5" 6" 7" 8" 
 ^^"<4 9 13 18 22 27 31 36 
 
 9" 
 40 
 
60 
 
 Logarithmic Sines. 
 
 
 Sine of 36 Degrees. 
 
 
 ii 
 
 Sine of 37 Degrees. 
 
 - 
 
 0" 
 
 • 
 
 10" 
 
 20" 
 
 30" 
 
 40" 1 50' 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 1 50" 
 
 
 
 9.769219 
 
 924!: 
 
 9277 
 
 9306 
 
 9335 
 
 9364 
 
 59 
 
 
 
 9.779463 
 
 9491 
 
 95x9 
 
 9547 
 
 9575 
 
 9603 
 
 59 
 
 I 
 
 939: 
 
 942i'945o 
 
 9479 
 
 9508 
 
 9537 
 
 58 
 
 I 
 
 9631 
 
 9659 
 
 9686 
 
 97x4 
 
 9742 
 
 9770 
 
 58 
 
 2 
 
 9566 
 
 9595'962/ 
 
 9653 
 
 9682 
 
 97XX 
 
 57 
 
 2 
 
 9798 
 
 9826 
 
 9854 
 
 9882 
 
 99x0 
 
 9938 
 
 57 
 
 3 
 
 9740 
 
 97699798 
 
 9827 
 
 9856 
 
 9884 
 
 56 
 
 3 
 
 9966 
 
 9993 
 
 . .21 
 
 ..49 
 
 ••77 
 
 . xo5 
 
 56 
 
 / 
 
 9913 
 9.770087 
 
 QQA2^nni I 
 
 
 . . 20 
 
 ..58 
 
 55 
 
 4 
 5 
 
 9.780x33 
 o3oo 
 
 ox 6x 
 
 0189 
 
 o356 
 
 0216 
 
 0244 
 
 0272 
 0439 
 
 55 
 
 5 
 
 01 16 
 
 77 / • 
 
 0x45 
 
 0x73 
 
 7 
 0202 
 
 023X 
 
 54 
 
 o328 
 
 o384 
 
 o4ii 
 
 54 
 
 6 
 
 0260 
 
 0289 
 
 o3x8 
 
 o347 
 
 0376 
 
 o4o4 
 
 53 
 
 6 
 
 0467 
 
 0495 
 
 o523 
 
 o55i 
 
 0578 
 
 0606 
 
 53 
 
 7 
 
 0433 
 
 0462 
 
 0491 
 
 o520 
 
 0549 
 
 0577 
 
 52 
 
 7 
 
 o634 
 
 0662 
 
 0690 
 
 07x8 
 
 0745 
 
 0773 
 
 52 
 
 8 
 
 0606 
 
 o635 
 
 0664 
 
 0693 
 
 0722 
 
 0750 
 
 5i 
 
 .8 
 
 080 X 
 
 0829 
 
 0857 
 
 0884 
 
 0912 
 
 0940 
 
 5i 
 
 9 
 
 0779 
 
 0808 
 
 0837 
 
 0866 
 
 0895 
 
 0923 
 
 5o 
 
 9 
 
 0968 
 
 0996 
 
 1023 
 
 xo5x 
 
 X079 
 
 X107 
 
 5o 
 
 10 
 
 9.770952 
 
 0981 
 
 lOIO 
 
 1039 
 
 1067 
 
 1096 
 
 49 
 
 10 
 
 9.781x34 
 
 XX62 
 
 XI90 
 
 1218 
 
 1246 
 
 1273 
 
 49 
 
 II 
 
 I 125 
 
 1x54 
 
 1x83 
 
 I2II 
 
 1240 
 
 1269 
 
 48 
 
 II 
 
 i3oi 
 
 1329 
 
 x357 
 
 i384 
 
 X4l2 
 
 x44o 
 
 48 
 
 12 
 
 1298 
 
 i326 
 
 i355 
 
 1 384 
 
 x4i3 
 
 i44i 
 
 47 
 
 12 
 
 i468 
 
 1495 
 
 i523 
 
 i55i 
 
 1578 
 
 1606 
 
 47 
 
 i3 
 
 1470 
 
 1499 
 
 i528 
 
 x556 
 
 x585 i6x4 
 
 46 
 
 x3 
 
 i634 
 
 1662 
 
 1689 
 
 17x7 
 
 1745 
 
 1772 
 
 46 
 
 i4 
 
 1643 
 
 1671 
 
 1700 
 
 1729 
 
 1758x786 
 
 45 
 
 i4 
 
 x8oo 
 
 X828 
 
 x856 
 
 i883 
 
 I9IX 
 
 1939 
 
 45 
 
 i5 
 
 i8i5 
 
 1 844 
 
 1872 
 
 190X 
 
 1930x959 
 
 44 
 
 x5 
 
 X966 
 
 1994 
 
 2022 
 
 2049 
 
 2077 
 
 2X05 
 
 44 
 
 i6 
 
 1987 
 
 2016 
 
 2045 
 
 2073 
 
 2102 2x3l 
 
 43 
 
 16 
 
 2X32 
 
 2x60 
 
 2x88 
 
 22X5 
 
 2243 
 
 227X 
 
 43 
 
 I? 
 
 2159 
 
 2188 
 
 2217 
 
 2245 
 
 2274'23o3 
 
 42 
 
 17 
 
 2298 
 
 2326 
 
 2354 
 
 238i 
 
 2409 
 
 2437 
 
 42 
 
 i8 
 
 233i 
 
 236o 
 
 2389 
 
 2417 
 
 2446 2475 
 
 4i 
 
 18 
 
 2464 
 
 2492 
 
 2520 
 
 2547 
 
 2575 
 
 2602 
 
 4i 
 
 19 
 
 25o3 
 
 2532 
 
 256x 
 
 2589 
 
 2618 2646 
 
 4o 
 
 19 
 
 263o 
 
 2658 
 
 2685 
 
 2713 
 
 2741 
 
 2768 
 
 4o 
 
 20 
 
 9.772675 
 
 2704 
 
 2732 
 
 2761 
 
 279o'28i8 
 
 39 
 
 20 
 
 9.782796 
 
 2823 
 
 285i 
 
 2879 
 
 2906 
 
 2934 
 
 39 
 
 21 
 
 2847 
 
 2875 
 
 2904 
 
 2933 
 
 296i'299o 
 
 38 
 
 21 
 
 2961 
 
 2989 
 
 3ox7 
 
 3o44 
 
 3072 
 
 3099 
 
 38 
 
 22 
 
 3oi8 
 
 3o47 
 
 3076 
 
 3io4 
 
 3x333i6i 
 
 37! 
 
 22 
 
 3x27 
 
 3i54 
 
 3x82 
 
 32X0 
 
 3237 
 
 3265 
 
 37 
 
 23 
 
 3190 
 
 3219 
 
 3247 
 
 3276 
 
 3304I3333 
 
 36 
 
 23 
 
 3292 
 
 3320 
 
 3347 
 
 3375 
 
 3402 
 
 343o 
 
 36 
 
 24 
 
 336i 
 
 3390 
 
 34x8 
 
 3447 
 
 3476'35o4 
 
 35 
 
 24 
 
 3458 
 
 3485 
 
 35x3 
 
 3540 
 
 3568 
 
 3595 
 
 35 
 
 25 
 
 3533 
 
 356i 
 
 3590 
 
 36x8 
 
 36473675 
 
 34 
 
 25 
 
 3623 
 
 365o 
 
 3678 
 
 3705 
 
 3733 
 
 3760 
 
 34 
 
 26 
 
 3704 
 
 3732 
 
 3761 
 
 3789 
 
 38x8 3846 
 
 33 
 
 26 
 
 3788 
 
 38x5 
 
 3843 
 
 3870 
 
 3898 
 
 3925 
 
 33 
 
 27 
 
 3875 
 
 3903 
 
 3932 
 
 3960 
 
 3989 40x7 
 
 32 
 
 27 
 
 3953 
 
 3980 
 
 4oo8 
 
 4o35 
 
 4o63 
 
 4090 
 
 32 
 
 28 
 
 4o46 
 
 4074 4io3 
 
 4x3i 
 
 4160I4188 
 
 3i 
 
 28 
 
 4xi8 
 
 4i45 
 
 4173 
 
 4200 
 
 4228 
 
 4255 
 
 3x 
 
 29 
 
 4217 
 
 4245 
 
 4274 
 
 43o2 
 
 433i'4359 
 
 3o 
 
 29 
 
 4282 
 
 43x0 
 
 4337 
 
 4365 
 
 4392 
 
 4420 
 
 3o 
 
 3o 
 
 9.774388 
 
 44i6 
 
 4445 
 
 4473 
 
 45oi'453o 
 
 29 
 
 3o 
 
 9.784447 
 
 4475 
 
 45o2 
 
 4529 
 
 4557 
 
 4584 
 
 29 
 
 3i 
 
 4558 
 
 4587 
 
 46x5 
 
 4644 
 
 4672 4700 
 
 28 
 
 3i 
 
 46x2 
 
 4639 
 
 4667 
 
 4694 
 
 4721 
 
 4749 
 
 28 
 
 32 
 
 4729 
 
 4757 
 
 4786 
 
 48x4 
 
 4842'487x 
 
 27 
 
 32 
 
 4776 
 
 48o4 
 
 483i 
 
 4858 
 
 4886 
 
 4913 
 
 27 
 
 33 
 
 4899 
 
 4928 
 
 4956 
 
 4985 
 
 5ox3 5o4i 
 
 26 
 
 33 
 
 4941 
 
 4968 
 
 4995 
 
 5o23 
 
 5o5o 
 
 5078 
 
 26 
 
 34 
 
 5070 
 
 5098 
 
 5x26 
 
 5x55 
 
 5i83 52X2 
 
 25 
 
 34 
 
 5xo5 
 
 5x32 
 
 5x6o 
 
 5187 
 
 52x4 
 
 5242 
 
 25 
 
 35 
 
 524o 
 
 5268 
 
 5297 
 
 5325 
 
 5353^5382 
 
 24 
 
 35 
 
 5269 
 
 5296 
 
 5324 
 
 535x 
 
 5378 
 
 5406 
 
 24 
 
 36 
 
 5410 
 
 5438 
 
 5467 
 
 5495 
 
 5523'5552 
 
 23 
 
 36 
 
 5433 
 
 5461 
 
 5488 
 
 55i5 
 
 5543 
 
 5570 
 
 23 
 
 37 
 
 558o 
 
 56o8 
 
 5637 
 
 5665 
 
 5693 5722 
 
 22 
 
 37 
 
 5597 
 
 5624 
 
 5652 
 
 5679 
 
 5706 
 
 5734 
 
 22 
 
 38 
 
 5750 
 
 5778 
 
 5807 
 
 5835 
 
 5863 5892 
 
 21 
 
 38 
 
 5761 
 
 5788 
 
 58x6 
 
 5843 
 
 5870 
 
 5898 
 
 2X 
 
 39 
 
 5920 
 
 5948 
 
 5977 
 
 6oo5 
 
 6o33 6061 
 
 20 
 
 39 
 
 5925 
 
 5952 
 
 5979 
 
 6007 
 
 6o34 
 
 6o6x 
 
 20 
 
 4o 
 
 9.776090 
 
 6118 
 
 6i46 
 
 6x75 
 
 6203 623i 
 
 '9 
 
 4o 
 
 9.786089 
 
 6116 
 
 6x43 
 
 6170 
 
 6198 
 
 6225 
 
 '9 
 
 4i 
 
 6259 
 
 6288 
 
 63x6 
 
 6344 
 
 6372 64oi 
 
 18 
 
 4i 
 
 6252 
 
 6279 
 
 63o7 
 
 6334 
 
 636i 
 
 6388 
 
 18 
 
 42 
 
 6429 
 
 6457 
 
 6485 
 
 65x4 
 
 6542!6570 
 
 17 
 
 42 
 
 64x6 
 
 6443 
 
 6470 
 
 6497 
 
 6525 
 
 6552 
 
 17 
 
 43 
 
 6598 
 
 6627 
 
 6655 
 
 6683 
 
 67 X 116739 
 
 x6 
 
 43 
 
 6579 
 
 6606 
 
 6634 
 
 666x 
 
 6688 
 
 67x5 
 
 16 
 
 44 
 
 6768 
 
 6796 
 
 6824 
 
 6852 
 
 6880 6909 
 
 x5 
 
 44 
 
 6742 
 
 6770 
 
 6797 
 
 6824 
 
 685i 
 
 6878 
 
 x5 
 
 45 
 
 6937 
 
 6965 
 
 6993 
 
 7021 
 
 7050I7078 
 
 i4 
 
 45 
 
 6906 
 
 6933 
 
 6960 
 
 6987 
 
 70x4 
 
 7042 
 
 i4 
 
 46 
 
 7106 
 
 7134 
 
 7x62 
 
 7191 
 
 72197247 
 
 x3 
 
 46 
 
 7069 
 
 7096 
 
 7x23 
 
 7i5o 
 
 7x77 
 
 7205 
 
 x3 
 
 47 
 
 7275 
 
 73o3 
 
 7331 
 
 7359 
 
 738874x6 
 
 12 
 
 47 
 
 7232 
 
 7259 
 
 7286 
 
 73x3 
 
 7340 
 
 7367 
 
 X2 
 
 48 
 
 7444 
 
 7472 
 
 75oo 
 
 7528 
 
 7556 
 
 7585 
 
 XX 
 
 48 
 
 7395 
 
 7422 
 
 7449 
 
 7476 
 
 75o3 
 
 7530 
 
 IX 
 
 49 
 
 7613 
 
 7641 
 
 7669 
 
 7697 
 
 7725 
 
 7753 
 
 XO 
 
 49 
 
 7557 
 
 7585 
 
 7612 
 
 7639 
 
 7666 
 
 7693 
 
 XO 
 
 5o 
 
 9.777781 
 
 7810 
 
 7838 
 
 7866 
 
 7894 
 
 7922 
 
 9 
 
 5o 
 
 9.787720 
 
 7747 
 
 7774 
 
 7801 
 
 7829 
 
 7856 
 
 9 
 
 5i 
 
 7950 
 
 7978 
 
 8006 
 
 8o34 
 
 8062 8091 
 
 8 
 
 5i 
 
 7883 
 
 79x0 
 
 7937 
 
 7964 
 
 7991 
 
 8oi8 
 
 8 
 
 52 
 
 8119 
 
 8x47 
 
 8x75 
 
 8203 
 
 823x 8259 
 
 7 
 
 52 
 
 8045 
 
 8072 
 
 8099 
 
 8x27 
 
 8x54 
 
 8i8x 
 
 7 
 
 53 
 
 8287 
 
 83x5 
 
 8343 
 
 837X 
 
 8399'8427 
 
 6 
 
 53 
 
 8208 
 
 8235 
 
 8262 
 
 8289 
 
 83x6 
 
 8343 
 
 6 
 
 54 
 
 8455 
 
 8483 
 
 85x1 
 
 8539 
 
 8567'8595 
 
 5 
 
 54 
 
 8370 
 
 8397 
 
 8424 
 
 845i 
 
 8478 
 
 85o5 
 
 5 
 
 55 
 
 8624 
 
 8652 
 
 8680 
 
 8708 
 
 873618764 
 
 4 
 
 55 
 
 8532 
 
 8559 
 
 8586 
 
 86x3 
 
 864o 
 
 8667 
 
 4 
 
 56 
 
 8792 
 
 8820 
 
 8848 
 
 8876 
 
 8904 8932 
 9072 9x00 
 
 3 
 
 56 
 
 8694 
 
 8721 
 
 8748 
 
 8775 
 
 8802 
 
 S829 
 
 3 
 
 57 
 
 8960 
 
 8988 
 
 9016 
 
 9044 
 
 2 
 
 57 
 
 8856 
 
 8883 
 
 8910 
 
 8937 
 
 8964 
 
 8991 
 
 2 
 
 58 
 
 9128 
 
 9x56 
 
 9x83 
 
 9211 
 
 9239*9267 
 
 X 
 
 58 
 
 9018 
 
 9045 
 
 9072 
 
 9099 
 
 9x26 
 
 9x53 
 
 T 
 
 59 
 
 9295 
 
 9323 
 
 9351 
 
 9379 
 
 940719435 
 
 
 
 59 
 
 9x80 
 
 9207 
 
 9234 
 
 9261 
 
 9288 
 
 93x5 
 
 
 
 
 60' 
 
 50" 
 
 40" 30" 
 
 30" 1 10" 
 
 
 
 60" 
 
 50" 
 
 40" 30" 
 
 20" 
 
 10" 
 
 
 Co-sine of 5.3 Degrees. 
 
 Co-sine of 52 Degrees. 
 
 P.I 
 
 ,. \ 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 ^"13 6 9 11 14 17 20 23 26 
 
 P P„f i 1" 2" 3" 4" 5" 6" 7" 8" 9' 
 ^•^^^^ ^ 3 5 8 11 14 16 19 22 25 
 

 
 
 
 Logarithmic 
 
 Tangents. 
 
 
 
 
 
 61 
 
 d 
 
 Tangent of 36 Degrees. 
 
 
 
 Tangent of 37 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 
 
 9.861261 
 
 i3o5 
 
 i35o 
 
 1394 
 
 1 438 
 
 1482 
 
 59 
 
 
 
 9.8771 1 4 
 
 7i58 
 
 7202 
 
 7246 
 
 7290 
 
 7833 
 
 59 
 
 I 
 
 i527 
 
 1571 
 
 i6i5 
 
 1659 
 
 1704 
 
 1748 
 
 58 
 
 1 
 
 7377 
 
 7421 
 
 7465 7509 
 
 7552 
 
 7596 
 
 58 
 
 ■z 
 
 1792 
 
 1837 
 
 1881 
 
 1925 
 
 1969 
 
 20l4 
 
 57 
 
 
 
 7640 
 
 7684 
 
 7728 
 
 7771 
 
 78x5 
 
 7859 
 
 57 
 
 3 
 
 2o58 
 
 3102 
 
 2i46 
 
 2191 
 
 2235 
 
 2279 
 
 56 
 
 3 
 
 7903 
 
 7947 
 
 7990 
 
 8o34 
 
 8078 
 
 8x22 
 
 56 
 
 4 
 
 2323 
 
 2368 
 
 2412 
 
 2456 
 
 25oo 
 
 2545 
 
 55 
 
 4 
 
 8i65 
 
 8209 
 
 8253 
 
 8297 
 
 834i 
 
 8384 
 
 55 
 
 5 
 
 2589 
 
 2633 
 
 2677 
 
 2721 
 
 2766 
 
 2810 
 
 54 
 
 5 
 
 8428 
 
 8472 
 
 85x6 
 
 8559 
 
 86o3 
 
 8647 
 
 54 
 
 6 
 
 2854 
 
 2898 
 
 2943 
 
 2987 
 
 3o3i 
 
 3075 
 
 53 
 
 6 
 
 8691 
 
 8734 
 
 8778 
 
 8822 
 
 8866 
 
 8909 
 
 53 
 
 7 
 
 3i 19 
 
 3i64 
 
 3208 
 
 3252 
 
 3296 
 
 3341 
 
 52 
 
 7 
 
 8953 
 
 8997 
 
 9041 
 
 9085 
 
 9x28 
 
 9x72 
 
 52 
 
 8 
 
 3385 
 
 3429 
 
 3473 
 
 35i7 
 
 3562 
 
 36o6 
 
 5i 
 
 8 
 
 9216 
 
 9260 
 
 93o3 
 
 9347 
 
 9891 
 
 9485 
 
 5i 
 
 9 
 
 365o 
 
 3694 
 
 3738 
 
 3783 
 
 3827 
 
 3871 
 
 5o 
 
 9 
 
 9478 
 
 9522 
 
 9566 
 
 9609 
 
 9653 
 
 9697 
 
 5o 
 
 10 
 
 9.863915 
 
 3959 
 
 4oo4 
 
 4o48 
 
 4092 
 
 4i36|49 
 
 10 
 
 9.879741 
 
 9784 
 
 9828 
 
 9872 
 
 99x6 
 
 9959 
 
 49 
 
 1 1 
 
 4t8o 
 
 4225 
 
 4269 
 
 43[3 
 
 4357 
 
 44oi48 
 
 II 
 
 9.880003 
 
 0047 
 
 0091 
 
 0x34 
 
 0178 
 
 0222 
 
 48 
 
 12 
 
 4445 
 
 4490 
 
 4534 
 
 4578 
 
 4622 
 
 4666 
 
 47 
 
 12 
 
 0265 
 
 o3o9 
 
 o353 
 
 0897 
 
 o44o 
 
 o484 
 
 47 
 
 i3 
 
 4710 
 
 4755 
 
 4799 
 
 4843 
 
 4887 
 
 4931 
 
 46 
 
 r3 
 
 o52 8 
 
 0571 
 
 06 1 5 
 
 0659 
 
 0708 
 
 0746 
 
 46 
 
 i4 
 
 4975 
 
 5o20 
 
 5o64 
 
 5io8 
 
 5i52 
 
 5196 
 
 45 
 
 i4 
 
 0790 
 
 o834 
 
 0877 
 
 0921 
 
 0965 
 
 X008 
 
 45 
 
 i5 
 
 524o 
 
 5285 
 
 5329 
 
 5373 
 
 54t7 
 
 5461 
 
 44 
 
 i5 
 
 I052 
 
 1096 
 
 ii4o 
 
 xi83 
 
 X227 
 
 127X 
 
 44 
 
 i6 
 
 55o5 
 
 5549 
 
 5594 
 
 5638 
 
 5682 
 
 5726 
 
 43 
 
 16 
 
 i3i4 
 
 i358 
 
 l402 
 
 1445 
 
 1489 
 
 i583 
 
 43 
 
 17 
 
 5770 
 
 58i4 
 
 5858 
 
 5903 
 
 5947 
 
 5991 
 
 42 
 
 17 
 
 1577 
 
 1620 
 
 x664 
 
 X708 
 
 X751 
 
 X795 
 
 42 
 
 i8 
 
 6o35 
 
 6079 
 
 6123 
 
 6167 
 
 621 1 
 
 6256 
 
 4i 
 
 18 
 
 1839 
 
 1882 
 
 1926 
 
 X970 
 
 20X3 
 
 2o57 
 
 4i 
 
 19 
 
 63oo 
 
 6344 
 
 6388 
 
 6432 
 
 6476 
 
 6520 
 
 4o 
 
 '9 
 
 2101 
 
 2i44 
 
 2x88 
 
 2282 
 
 2275 
 
 28x9 
 
 4o 
 
 20 
 
 9.866564 
 
 6609 
 
 6653 
 
 6697 
 
 6741 
 
 6785 
 
 39 
 
 20 
 
 9.882363 
 
 2406 
 
 245o 
 
 2494 
 
 2587 
 
 258i 
 
 89 
 
 21 
 
 6829 
 
 6873 
 
 6917 
 
 6961 
 
 7006 
 
 7o5o 
 
 38 
 
 21 
 
 2625 
 
 2668 
 
 2712 
 
 2756 
 
 2799 
 
 2843 
 
 88 
 
 22 
 
 7094 
 
 7i38 
 
 7182 
 
 7226 
 
 7270 
 
 73i4 
 
 37 
 
 22 
 
 2887 
 
 2980 
 
 2974 
 
 80x8 
 
 3o6x 
 
 3xo5 
 
 37 
 
 23 
 
 7358 
 
 74o2 
 
 7446 
 
 7491 
 
 7535 
 
 7579 
 
 36 
 
 23 
 
 3i48 
 
 3192 
 
 3236 
 
 8279 
 
 3323 
 
 3367 
 
 36 
 
 24 
 
 7623 
 
 7667 
 
 77" 
 
 7755 
 
 7799 
 
 7843 
 
 35 
 
 24 
 
 3410 
 
 3454 
 
 3498 
 
 854x 
 
 3585 
 
 8628 
 
 35 
 
 25 
 
 7887 
 
 793. 
 
 7975 
 
 8019 
 
 8064 
 
 8to8 
 
 34 
 
 25 
 
 8672 
 
 3716 
 
 3759 
 
 38o3 
 
 3847 
 
 3890 
 
 34 
 
 26 
 
 8i52 
 
 8196 
 
 8240 
 
 8284 
 
 8328 
 
 8372 
 
 33 
 
 26 
 
 3934 
 
 3977 
 
 402I 
 
 4o65 
 
 4io8 
 
 4x52 
 
 33 
 
 27 
 
 84i6 
 
 8460 
 
 85o4 
 
 8548 
 
 8592 
 
 8636 
 
 32 
 
 27 
 
 4196 
 
 4239 
 
 4283 
 
 4326 
 
 4370 
 
 44i4 
 
 82 
 
 28 
 
 8680 
 
 8724 
 
 8768 
 
 88i3 
 
 8857 
 
 8901 
 
 3i 
 
 28 
 
 4457 
 
 45oi 
 
 4544 
 
 4588 
 
 4632 
 
 4675 
 
 81 
 
 29 
 
 8945 
 
 8989 
 
 9033 
 
 9077 
 
 9121 
 
 9165 
 
 3o 
 
 29 
 
 4719 
 
 4762 
 
 4806 
 
 485o 
 
 4898 
 
 4987 
 
 3o 
 
 3o 
 
 9. 869209 
 
 9253 
 
 9297 
 
 9341 
 
 9385 
 
 9429 
 
 29 
 
 3o 
 
 9.884980 
 
 5o24 
 
 5o68 
 
 5ix I 
 
 5x55 
 
 5198 
 
 29 
 
 3f 
 
 9473 
 
 95r7 
 
 956r 
 
 9605 
 
 9649 
 
 9693 
 
 28 
 
 3 1 
 
 5242 
 
 5286 
 
 5329 
 
 5378 
 
 54x6 
 
 5460 
 
 28 
 
 32 
 
 9737 
 
 9781 
 
 9825 
 
 9869 
 
 9913 
 
 9957 
 
 27 
 
 32 
 
 55o4 
 
 5547 
 
 559X 
 
 5684 
 
 5678 
 
 572X 
 
 27 
 
 33 
 
 9.870001 
 
 0045 
 
 0089 
 
 oi33 
 
 0177 
 
 0221 
 
 26 
 
 33 
 
 5765 
 
 5809 
 
 5852 
 
 5896 
 
 5989 
 
 5983 
 
 26 
 
 34 
 
 0265 
 
 o3o9 
 
 o353 
 
 0397 
 
 o44i 
 
 o485 
 
 25 
 
 34 
 
 6026 
 
 6070 
 
 6ix4 
 
 6x57 
 
 6201 
 
 6244 
 
 25 
 
 35 
 
 o529 
 
 0573 
 
 0617 
 
 0661 
 
 0705 
 
 0749 
 
 24 
 
 35 
 
 6288 
 
 633i 
 
 6875 
 
 6419 
 
 6462 
 
 65o6 
 
 24 
 
 36 
 
 0793 
 
 0837 
 
 0881 
 
 0925 
 
 0969 
 
 ioi3 
 
 23 
 
 36 
 
 6549 
 
 6593 
 
 6636 
 
 6680 
 
 6728 
 
 6767 
 
 23 
 
 37 
 
 io57 
 
 IIOI 
 
 ii45 
 
 1189 
 
 1233 
 
 1277 
 
 22 
 
 37 
 
 6811 
 
 6854 
 
 6898 
 
 6941 
 
 6985 
 
 7028 
 
 22 
 
 38 
 
 l32t 
 
 i365 
 
 i4o9 
 
 1453 
 
 1497 
 
 i54i 
 
 21 
 
 38 
 
 7072 
 
 71x5 
 
 7159 
 
 7202 
 
 7246 
 
 7289 
 
 21 
 
 39 
 
 i585 
 
 1629 
 
 1673 
 
 1717 
 
 1761 
 
 i8o5 
 
 20 
 
 39 
 
 7333 
 
 7377 
 
 7420 
 
 7464 
 
 7507 
 
 755x 
 
 20 
 
 4o 
 
 9.871849 
 
 1893 
 
 1937 
 
 1980 
 
 2024 
 
 2068 
 
 19 
 
 4o 
 
 9.887594 
 
 7638 
 
 7681 
 
 7725 
 
 7768 
 
 78x2 
 
 19 
 
 4i 
 
 2112 
 
 2i56 
 
 2200 
 
 2244 
 
 2288 
 
 2332 
 
 18 
 
 4i 
 
 7855 
 
 7899 
 
 7942 
 
 7986 
 
 8029 
 
 8078 
 
 x8 
 
 42 
 
 2376 
 
 2420 
 
 2464 
 
 25o8 
 
 2552 
 
 2596 
 
 17 
 
 42 
 
 8ii6 
 
 8160 
 
 82o3 
 
 8247 
 
 8291 
 
 8334 
 
 17 
 
 43 
 
 2640 
 
 2684 
 
 2727 
 
 2771 
 
 28i5 
 
 2859 
 
 16 
 
 43 
 
 8378 
 
 8421 
 
 8465 
 
 85o8 
 
 8552 
 
 8595 
 
 16 
 
 44 
 
 2903 
 
 2947 
 
 2991 
 
 3o35 
 
 3079 
 
 3i23 
 
 i5 
 
 44 
 
 8639 
 
 8682 
 
 8726 
 
 8769 
 
 88x3 
 
 8856 
 
 x5 
 
 45 
 
 3167 
 
 321 I 
 
 3255 
 
 3299 
 
 3342 
 
 3386 
 
 i4 
 
 45 
 
 8900 
 
 8943 
 
 8987 
 
 9080 
 
 9074 
 
 9XX7 
 
 i4 
 
 46 
 
 343o 
 
 3474 
 
 35i8 
 
 3562 
 
 36o6 
 
 365o 
 
 i3 
 
 46 
 
 9161 
 
 9204 
 
 9248 
 
 9291 
 
 9334 
 
 9878 
 
 i3 
 
 47 
 
 3694 
 
 3738 
 
 3781 
 
 3825 
 
 3869 
 
 3913 
 
 12 
 
 47 
 
 9421 
 
 9465 
 
 9508 
 
 9552 
 
 9595 
 
 9689 
 
 12 
 
 48 
 
 3957 
 
 4ooi 
 
 4o45 
 
 4089 
 
 4i33 
 
 4177 
 
 II 
 
 48 
 
 9682 
 
 9726 
 
 9769 
 
 98x8 
 
 9856 
 
 9900 
 
 XI 
 
 49 
 
 4220 
 
 4264 
 
 43o8 
 
 4352 
 
 4396 
 
 4440 
 
 10 
 
 49 
 
 9943 
 
 9987 
 
 ..3o 
 
 ..74 
 
 .1x7 
 
 . 160 
 
 10 
 
 5o 
 
 9.874484 
 
 4528 
 
 4572 
 
 46i5 
 
 4659 
 
 4703 
 
 9 
 
 5o 
 
 9.890204 
 
 0247 
 
 029X 
 
 0834 
 
 0878 
 
 0421 
 
 9 
 
 5 1 
 
 4747 
 
 4791 
 
 4835 
 
 4879 
 
 4923 
 
 4966 
 
 8 
 
 5i 
 
 o465 
 
 o5o8 
 
 o552 
 
 0595 
 
 0689 
 
 0682 
 
 8 
 
 52 
 
 5oio 
 
 5o54 
 
 5098 
 
 5i42 
 
 5i86 
 
 523o 
 
 7 
 
 52 
 
 0725 
 
 0769 
 
 08x2 
 
 o856 
 
 0899 
 
 0943 
 
 7 
 
 53 
 
 5273 
 
 5317 
 
 536i 
 
 54o5 
 
 5449 
 
 5493 
 
 6 
 
 53 
 
 0986 
 
 io3o 
 
 1073 
 
 I xx6 
 
 ix6o 
 
 X203 
 
 6 
 
 54 
 
 5537 
 
 558o 
 
 5624 
 
 5668 
 
 5712 
 
 5756 
 
 5 
 
 54 
 
 1247 
 
 1290 
 
 i334 
 
 1877 
 
 X42X 
 
 1 464 
 
 5 
 
 55 
 
 58oo 
 
 5843 
 
 5887 
 
 5931 
 
 5975 
 
 6019 
 
 4 
 
 55 
 
 i5o7 
 
 i55i 
 
 1594 
 
 1688 
 
 x68x 
 
 1725 
 
 4 
 
 56 
 
 6o63 
 
 6107 
 
 6i5o 
 
 6194 
 
 6238 
 
 6282 
 
 3 
 
 56 
 
 1768 
 
 1811 
 
 i855 
 
 1898 
 
 1942 
 
 1985 
 
 3 
 
 57 
 
 6326 
 
 6370 
 
 64[3 
 
 6457 
 
 65oi 
 
 6545 
 
 2 
 
 57 
 
 2028 
 
 2072 
 
 21X5 
 
 2x59 
 
 2202 
 
 2246 
 
 2 
 
 58 
 
 6589 
 
 6632 
 
 6676 
 
 6720 
 
 6764 
 
 6808 
 
 I 
 
 58 
 
 2289 
 
 2332 
 
 2876 
 
 2419 
 
 2463 
 
 25o6 
 
 I 
 
 59 
 
 6852 
 
 6895 
 
 6939 
 
 6983 
 
 7027 
 
 7071 
 
 
 
 59 
 
 2549 
 
 2593 
 
 2636 
 
 2680 
 
 2728 
 
 2766 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 a 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20' 10" 
 
 d 
 
 Co-tangent of 53 Degrees. 
 
 Co-tangent of 52 Degrees. 
 
 P v.rf i 1' 2" 3" 4" 5" 6" 7" 8" 9" 
 r. i-art | 4 9 13 jg 23 26 31 35 40 
 
 P P.rJl" 2" 3" 4" 5" 6" 7" 8" 9' 
 r.rart^^ 9 13 17 22 26 31 35 39 
 
G2 
 
 Logarithmic Sines. 
 
 ii 
 
 Sine of 38 Degrees. 
 
 
 
 Sine of 39 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 _bvr_ 
 
 0" 
 
 10" 
 
 20" 
 
 30' 
 
 40" 
 
 50" 
 
 o 
 
 9.789342 
 
 9369 
 
 9396 
 
 9423 
 
 9450 
 
 9477 
 
 59 
 
 
 
 9.798872 
 
 8898 
 
 8924 
 
 8950 
 
 8976 
 
 9002 
 
 59 
 
 I 
 
 J 1 J 
 
 9604 
 
 9531 
 
 9557 
 
 9584 
 
 961 1 
 
 9638 
 
 58 
 
 I 
 
 9028 
 
 9054 
 
 9080 
 
 9106 
 
 9132 
 
 9i58 30 1 
 
 2 
 
 9665 
 
 9692 
 
 9719 
 
 9746 
 
 9773 
 
 9800 
 
 57 
 
 2 
 
 9184 
 
 9210 
 
 9236 
 
 9262 
 
 9287 
 
 93i3 
 
 37 
 
 3 
 
 9827 
 
 9854 
 
 9880 
 
 9907 
 
 9934 
 
 9961 
 
 56 
 
 3 
 
 9339 
 
 9365 
 
 9391 
 
 9417 
 
 9443 
 
 9469 
 
 56 
 
 4 
 
 9988 
 
 9.790149 
 
 o3io 
 
 ..i5 
 
 ..42 
 
 ..69 
 
 ..96 
 
 . 122 
 
 55 
 
 4 
 
 9495 
 
 9521 
 
 9547 
 
 9573 
 
 9599 
 
 9625 
 
 55 
 
 5 
 
 0176 
 
 0203 
 
 023o 
 
 0257 
 
 0284 54 
 
 5 
 
 9651 
 
 9677 
 
 9703 
 
 9728 
 
 9754 
 
 9780 
 
 54 
 
 6 
 
 0337 
 
 o364 
 
 0391 
 
 o4i8 
 
 0445 53 
 
 6 
 
 9806 
 
 9832 
 
 9858 
 
 9884 
 
 9910 
 
 9936 
 
 53 
 
 7 
 
 0471 
 
 0498 
 
 o525 
 
 o552 
 
 0579 
 
 0606,52 
 
 7 
 
 9962 
 
 9987 
 
 ..i3 
 
 ..39 
 
 ..65 
 
 ..91 
 
 52 
 
 / 
 
 8 
 
 o632 
 
 0659 
 
 0686 
 
 0713 
 
 0740 
 
 0767,51 
 
 8 
 
 9.8001 17 
 
 0143 
 
 0169 
 
 0195 
 
 0220 
 
 0246 
 
 5i 
 
 9 
 
 lO 
 
 07q3 
 
 0820 
 
 0847 
 
 0874 
 
 0901 
 
 0927 5o 
 
 9 
 
 0272 
 
 0298 
 
 o324 
 
 o35o 
 
 0376 
 
 o4oi 
 
 5o 
 
 9.790954 
 1 1 15 
 
 0981 
 
 1008 
 
 io34 
 
 1061 
 
 1088 49 
 
 10 
 
 9.800427 
 
 0453 
 
 0479 
 
 o5o5 
 
 o53i 
 
 o556 
 
 49 
 
 1 1 
 
 I l42 
 
 1168 
 
 1195 
 
 1222 
 
 124948 
 1409 47 
 
 II 
 
 o582 
 
 0608 
 
 o634 
 
 0660 
 
 0686 
 
 071 1 
 
 48 
 
 I 2 
 
 1275 
 
 l302 
 
 1329 
 
 i356 
 
 i382 
 
 12 
 
 0737 
 
 0763 
 
 0789 
 
 o8i5 
 
 o84o 
 
 0866 
 
 47 
 
 i3 
 
 i436 
 
 i463 
 
 1489 
 
 i5i6 
 
 i543 
 
 1570 
 
 46 
 
 i3 
 
 0892 
 
 0918 
 
 0944 
 
 0969 
 
 0995 
 
 1021 
 
 46 
 
 i4 
 
 i5g6 
 
 1623 
 
 i65o 
 
 1676 
 
 1703 
 
 1730 
 
 45 
 
 i4 
 
 1047 
 
 1073 
 
 1098 
 
 1 124 
 
 I i5o 
 
 1176 
 
 45 
 
 i5 
 
 7 
 
 1757 
 
 1783 
 
 1810 
 
 1837 
 
 i863 
 
 1890 
 
 44 
 
 i5 
 
 1201 
 
 1227 
 
 1253 
 
 1279 
 
 i3o5 
 
 i33o 
 
 44 
 
 i6 
 
 1917 
 
 1943 
 
 1970 
 
 1997 
 
 2024 
 
 2o5o 
 
 43 
 
 16 
 
 i356 
 
 i382 
 
 i4o8 
 
 1433 
 
 1459 
 
 i485 
 
 43 
 
 I? 
 
 i8 
 
 2077 
 
 2104 
 
 2i3o 
 
 2i57 
 
 2184 
 
 2210 
 
 42 
 
 17 
 
 i5i I 
 
 i536 
 
 i562 
 
 i588 
 
 1 61 3 
 
 1639 
 
 42 
 
 2237 
 
 2264 
 
 2290 
 
 23i7 
 
 2344 
 
 2370 
 
 4i 
 
 18 
 
 i665 
 
 1691 
 
 1716 
 
 1742 
 
 1768 
 
 1794 
 
 4i 
 
 19 
 
 2397 
 
 2423 
 
 2450 
 
 2477 25o3 
 
 253o 
 
 4o 
 
 19 
 
 1819 
 
 1845 
 
 1871 
 
 1896 
 
 1922 
 
 1948 
 
 4o 
 
 20 
 
 9.792557 
 
 2583 
 
 2610 
 
 2636 
 
 2663 
 
 2690 
 
 39 
 
 20 
 
 9.801973 
 
 1999 
 
 2025 
 
 2o5l 
 
 2076 
 
 2102 
 
 39 
 
 21 
 
 7 1 J ' 
 
 2716 
 
 2743 
 
 2770 
 
 2796 
 
 2823 
 
 2849 
 
 38 
 
 21 
 
 2128 
 
 2i53 
 
 2179 
 
 22o5 
 
 223o 
 
 2256 
 
 38 
 
 22 
 
 2876 
 
 2903 
 
 2929 
 
 2956 
 
 2982 
 
 3009 
 
 37 
 
 22 
 
 2282 
 
 23o7 
 
 2333 
 
 2359 
 
 2384 
 
 2410 
 
 37 
 
 23 
 
 3o35 
 
 3062 
 
 3089 
 
 3ii5 
 
 3l42 
 
 3i68 
 
 36 
 
 23 
 
 2436 
 
 2461 
 
 2487 
 
 25l2 
 
 2538 
 
 2564 
 
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 24 
 
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 35 
 
 25 
 
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 3434 
 
 3460 
 
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 34 
 
 25 
 
 2743 
 
 2769 
 
 2794 
 
 2820 
 
 2846 
 
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 34 
 
 26 
 
 35i4 
 
 3540 
 
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 33 
 
 26 
 
 2897 
 
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 33 
 
 27 
 
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 38o5 
 
 32 
 
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 3i53 
 
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 28 
 
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 28 
 
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 29 
 
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 59 
 
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 60" 
 
 50" 
 
 1 40" 
 
 30" 
 
 20' 
 
 10" 
 
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 GO" 1 50" 
 
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 30" 
 
 20" 
 
 10" 
 
 Co-sine of 51 Degrees. 
 
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 Co-sine of 50 Degrees. 
 
 
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 Logarithmic 
 
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 63 
 
 3 
 
 Tangent of 38 Degrees. 
 
 
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 Tangent of 39 Degrees. 
 
 
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 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
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 9.892810 
 
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 57 
 
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 38o8 
 
 56 
 
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 54 
 
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 54 
 
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 53 
 
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 58o2 
 
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 42 
 
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 39 
 
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 21 
 
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 37 
 
 23 
 
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 36 
 
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 34 
 
 25 
 
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 4903 
 
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 34 
 
 26 
 
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 33 
 
 26 
 
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 32 
 
 27 
 
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 27 
 
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 27 
 
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 37 
 
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 22 
 
 38 
 
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 21 
 
 38 
 
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 21 
 
 39 
 
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 20 
 
 39 
 
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 9.903197 
 
 3240 
 
 3283 
 
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 3369 
 
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 19 
 
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 9.918677 
 
 8720 
 
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 88o5 
 
 8848 
 
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 18 
 
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 9020 
 
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 18 
 
 42 
 
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 17 
 
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 Co-tangent of 51 Degrees. 
 
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 Logarithmic Sines. 
 
 
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 ii 
 
 Sine of 41 Degrees. 
 
 
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 30" 
 
 1 40" 50" 
 
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 8143 8168 
 
 8193 
 
 59 
 
 
 
 9.816943 6967 
 
 6991 
 
 7016 
 
 7040I7064 
 
 59 
 
 I 
 
 8218 
 
 8243 
 
 8268 
 
 82938318 
 
 8343 
 
 58 
 
 I 
 
 7088 
 
 71 12 
 
 7137 
 
 7161 
 
 7185 
 
 7209 
 
 58 
 
 2 
 
 8368 
 
 8393 
 
 8419 
 
 8444 8469 
 
 8494 
 
 57 
 
 2 
 
 7233 
 
 7258 
 
 7282 
 
 7306 
 
 7330 
 
 7354 
 
 57 
 
 3 
 
 85i9 
 
 8544 
 
 8569 
 
 8594 8619 
 
 8644 
 
 56 
 
 3 
 
 7379 
 
 74o3 
 
 7427 
 
 745i 
 
 7475 
 
 7499 
 
 56 
 
 4 
 
 8669 
 
 8694 
 
 8719 
 
 8744 
 
 8769 
 
 8794 
 
 55 
 
 4 
 
 7524 
 
 7548 
 
 7572 
 
 7596 
 
 7620 
 
 7644 
 
 55 
 
 5 
 
 8819 
 
 8844 
 
 8869 
 
 8894I8919 
 
 8944 
 
 54 
 
 5 
 
 7668 
 
 7693 
 
 7717 
 
 7741 
 
 7765 
 
 7789 
 
 54 
 
 6 
 
 8969 
 
 8994 
 
 9019 
 
 9044 
 
 9069 
 
 9094 
 
 53 
 
 6 
 
 7813 
 
 7837 
 
 7862 
 
 7886 
 
 7910 
 
 7934 
 
 53 
 
 7 
 
 9119 
 
 9144 
 
 9169 
 
 9194 
 
 9219 
 
 9244 
 
 52 
 
 7 
 
 7958 
 
 7982 
 
 8006 
 
 8o3o 
 
 8o55 
 
 8079 
 
 52 
 
 8 
 
 9269 
 
 9294 9319 
 
 9344 
 
 9369 
 
 9394 
 
 5i 
 
 8 
 
 8io3 
 
 8127 
 
 8i5i 
 
 8175 
 
 8199 
 
 8223 
 
 5i 
 
 9 
 
 9419 
 
 9444 
 
 9469 
 
 9494 
 
 9519 
 
 9544 
 
 5o 
 
 9 
 
 8247 
 
 8272 
 
 8296 
 
 8320 
 
 8344j8368 
 
 5o 
 
 10 
 
 9.809569 
 
 9594 
 
 9619 
 
 9643 
 
 9668 
 
 9693 
 
 49 
 
 10 
 
 9.818392 
 
 84i6 
 
 844o 
 
 8464 
 
 84888512 
 
 49 
 
 II 
 
 9718 
 
 9743 
 
 9768 
 
 9793 
 
 9818 
 
 9843 
 
 48 
 
 II 
 
 8536 
 
 856o 
 
 8584 
 
 8609 
 
 86338657 
 
 48 
 
 12 
 
 9868 
 
 9893 
 
 9918 
 
 9943 
 
 9967 
 
 9992 
 
 47 
 
 12 
 
 8681 
 
 8705 
 
 8729 
 
 8753 
 
 8777 
 
 8801 
 
 47 
 
 i3 
 
 9.810017 
 
 0042 
 
 0067 
 
 0092 
 
 01 17 
 
 0142 
 
 46 
 
 i3 
 
 8825 
 
 8849 
 
 8873 
 
 8897 
 
 8921 
 
 8945 
 
 46 
 
 i4 
 
 0167 
 
 0191 
 
 0216 
 
 0241 
 
 0266 
 
 0291 
 
 45 
 
 i4 
 
 8969 
 
 8993 
 
 9017 
 
 9041 
 
 9065 
 
 9089 
 
 45 
 
 i5 
 
 o3i6 
 
 o34i 
 
 o366 
 
 0390 
 
 o4i5 
 
 o44o 
 
 44 
 
 i5 
 
 91 13 
 
 9137 
 
 9161 
 
 9185 
 
 9209'9233 
 
 44 
 
 i6 
 
 o465 
 
 0490 
 
 o5i5 
 
 o54o 
 
 o564 
 
 0589 
 
 43 
 
 16 
 
 9257 
 
 9281 
 
 93o5 
 
 9329 
 
 9353 
 
 9377 
 
 43 
 
 17 
 
 o6i4 
 
 0639 
 
 0664 
 
 0689 
 
 0713 
 
 0738 
 
 42 
 
 17 
 
 9401 
 
 9425 
 
 9449 
 
 9473 
 
 949719521 
 
 42 
 
 i8 
 
 0763 
 
 0788 
 
 o8i3 
 
 o838 
 
 0862 
 
 0887 
 
 4i 
 
 18 
 
 9545 
 
 9569 
 
 9593 
 
 9617 
 
 9641 
 
 9665 
 
 4i 
 
 19 
 
 0912 
 
 0937 
 
 0962 
 
 0986 
 
 lOI I 
 
 io36 
 
 4o 
 
 19 
 
 9689 
 
 9713 
 
 9737 
 
 9761 
 
 9785 9809 
 
 4o 
 
 20 
 
 9.811061 
 
 1086 
 
 I no 
 
 ii35 
 
 1160 
 
 ii85 
 
 39 
 
 20 
 
 9.819832 
 
 9856 
 
 9880 
 
 9904 
 
 9928 9952 
 
 39 
 
 21 
 
 1210 
 
 1234 
 
 1259 
 
 1284 
 
 1 309 
 
 i334 
 
 38 
 
 21 
 
 9976 
 
 • • • ■ 
 
 ..24 
 
 ..48 
 
 ..72 
 
 ..96 
 
 38 
 
 22 
 
 i358 
 
 i383 
 
 i4o8 
 
 1433 
 
 1457 
 
 1482 
 
 37 
 
 22 
 
 9.820120 
 
 oi43 
 
 0167 
 
 G191 
 
 02l5 
 
 0239 
 
 37 
 
 23 
 
 i5o7 
 
 i532 
 
 i556 
 
 i58i 
 
 1606 
 
 i63i 
 
 36 
 
 23 
 
 0263 
 
 0287 
 
 o3ii 
 
 o335 
 
 0359 
 
 o382 
 
 36 
 
 24 
 
 i655 
 
 1680 
 
 1705 
 
 1730 
 
 1754 
 
 1779 
 
 35 
 
 24 
 
 o4o6 
 
 o43o 
 
 0454 
 
 0478 
 
 o5o2 
 
 o526 
 
 35 
 
 25 
 
 i8o4 
 
 1828 
 
 i853 
 
 1878 
 
 1903 
 
 1927 
 
 34 
 
 25 
 
 o55o 
 
 0573 
 
 0597 
 
 0621 
 
 0645 
 
 0669 
 
 34 
 
 26 
 
 1952 
 
 1977 
 
 2001 
 
 2026 
 
 2o5l 
 
 2076 
 
 33 
 
 26 
 
 0693 
 
 0717 
 
 0740 
 
 0764 
 
 0788 
 
 0812 
 
 33 
 
 27 
 
 2100 
 
 2125 
 
 2i5o 
 
 2174 
 
 2199 
 
 2224 
 
 32 
 
 27 
 
 o836 
 
 0860 
 
 o883 
 
 0907 
 
 0931 
 
 0955 
 
 32 
 
 28 
 
 2248 
 
 2273 
 
 2298 
 
 2322 
 
 2347 
 
 2372 
 
 3i 
 
 28 
 
 0979 
 
 ioo3 
 
 1026 
 
 io5o 
 
 1074 
 
 1098 
 
 3i 
 
 29 
 
 2396 
 
 2421 
 
 2446 
 
 2470 
 
 2495 
 
 2520 
 
 3o 
 
 29 
 
 1122 
 
 ii46 
 
 1169 
 
 1193 
 
 I2I7 
 
 1 24 1 
 
 3o 
 
 3o 
 
 9.812544 
 
 2569 
 
 2594 
 
 2618 
 
 2643 
 
 2668 
 
 29 
 
 3o 
 
 9.821265 
 
 1288 
 
 l3l2 
 
 i336 
 
 i36o 
 
 1 384 
 
 29 
 
 3i 
 
 2692 
 
 2717 
 
 2742 
 
 2766 
 
 2791 
 
 28i5 
 
 28 
 
 3i 
 
 1407 
 
 i43i 
 
 1455 
 
 1479 
 
 l502 
 
 l52& 
 
 28 
 
 32 
 
 2840 
 
 2865 
 
 2889 
 
 2914 
 
 2939 
 
 2963 
 
 27 
 
 32 
 
 i55o 
 
 1574 
 
 1598 
 
 1621 
 
 1645 
 
 1669 
 
 27 
 
 33 
 
 2988 
 
 3oi2 
 
 3o37 
 
 3062 
 
 3o86 
 
 3ii I 
 
 26 
 
 33 
 
 1693 
 
 1716 
 
 1740 
 
 1764 
 
 1788 
 
 1811 
 
 26 
 
 34 
 
 3i35 
 
 3i6o 
 
 3i85 
 
 3209 
 
 3234 
 
 3258 
 
 25 
 
 34 
 
 i835 
 
 1859 
 
 i883 
 
 1906 
 
 1930 
 
 1954 
 
 25 
 
 35 
 
 3283 
 
 33o7 
 
 3332 
 
 3357 
 
 338i 
 
 3406 
 
 24 
 
 35 
 
 1977 
 
 2001 
 
 2025 
 
 2049 
 
 2072 
 
 2096 
 
 24 
 
 36 
 
 3430 
 
 3455 
 
 3479 
 
 35o4 
 
 3529 
 
 3553 
 
 23 
 
 36 
 
 2120 
 
 2i44 
 
 2167 
 
 2191 
 
 22l5 
 
 2238 
 
 23 
 
 37 
 
 3578 
 
 36o2 
 
 3627 
 
 365i 
 
 3676 
 
 3700 
 
 22 
 
 37 
 
 2262 
 
 2286 
 
 2309 
 
 2333 
 
 2357 
 
 238i 
 
 22 
 
 38 
 
 3725 
 
 3749 
 
 3774 
 
 3799 
 
 3823 
 
 3848 
 
 21 
 
 38 
 
 24o4 
 
 2428 
 
 2452 
 
 2475 
 
 2499 
 
 2523 
 
 21 
 
 39 
 
 3872 
 
 3897 
 
 3921 
 
 3946 
 
 3970 
 
 3995 
 
 20 
 
 39 
 
 2546 
 
 2570 
 
 2594 
 
 2617 
 
 2641 
 
 2665 
 
 20 
 
 40 
 
 9.814019 
 
 4o44 
 
 4068 
 
 4093 
 
 4117 
 
 4i42 
 
 19 
 
 4o 
 
 9.822688 
 
 2712 
 
 2736 
 
 2759 
 
 2783 
 
 2807 
 
 19 
 
 4i 
 
 4i66 
 
 4191 
 
 42i5 
 
 4240 
 
 4264 
 
 4289 
 
 18 
 
 4i 
 
 283o 
 
 2854 
 
 2878 
 
 2901 
 
 2925 
 
 2948 
 
 18 
 
 42 
 
 43i3 
 
 4338 
 
 4362 
 
 4387 
 
 44ii 
 
 4436 
 
 17 
 
 42 
 
 2972 
 
 2996 
 
 3019 
 
 3o43 
 
 3067 
 
 3090 
 
 17 
 
 43 
 
 446o 
 
 4484 
 
 4509 
 
 4533 
 
 4558 
 
 4582 
 
 16 
 
 43 
 
 3ii4 
 
 3i37 
 
 3i6i 
 
 3i85 
 
 3208 
 
 3232 
 
 16 
 
 44 
 
 4607 
 
 463i 
 
 4656 
 
 468o 
 
 4704 
 
 4729 
 
 i5 
 
 44 
 
 3255 
 
 3279 
 
 33o3 
 
 3326 
 
 335o 
 
 3373 
 
 i5 
 
 45 
 
 4753 
 
 4778 
 
 4802 
 
 4827 
 
 485i 
 
 4876 
 
 14 
 
 45 
 
 3397 
 
 3421 
 
 3444 
 
 3468 
 
 3491 
 
 35i5 
 
 i4 
 
 46 
 
 4900 
 
 4924 
 
 4949 
 
 4973 
 
 4998 
 
 5022 
 
 i3 
 
 46 
 
 3539 
 
 3562 
 
 3586 
 
 3609 
 
 3633 
 
 3656 
 
 i3 
 
 47 
 
 5o46 
 
 5071 
 
 5095 
 
 5l20 
 
 5i44 
 
 5i68 
 
 12 
 
 47 
 
 368o 
 
 3704 
 
 3727 
 
 3751 
 
 3774 
 
 3798 
 
 12 
 
 48 
 
 5193 
 
 5217 
 
 5242 
 
 5266 
 
 5290 
 
 53i5 
 
 II 
 
 48 
 
 3821 
 
 3845 
 
 3868 
 
 3892 
 
 3915 3939 
 
 II 
 
 49 
 
 5339 
 
 5364 
 
 5388 
 
 54i2 
 
 5437 
 
 5461 
 
 10 
 
 49 
 
 3963 
 
 3986 
 
 4oio 
 
 4o33 
 
 4o57 4080 
 
 10 
 
 5o 
 
 9.8i5485 
 
 55io 
 
 5534 
 
 5558 
 
 5583 
 
 56o7 
 
 9 
 
 5o 
 
 9.824104 
 
 4127 
 
 4i5i 
 
 4174 
 
 4198 4221 
 
 9 
 
 5i 
 
 5632 
 
 5656 
 
 568o 
 
 5705 
 
 5729 
 
 5753 
 
 8 
 
 5i 
 
 4245 
 
 4268 
 
 4292 
 
 43i5 
 
 43394362 
 
 8 
 
 52 
 
 5778 
 
 58o2 
 
 5826 
 
 585i 
 
 5875 
 
 5899 
 
 7 
 
 52 
 
 4386 
 
 4409 
 
 4433 
 
 4456 
 
 448o45o3 
 
 7 
 
 53 
 
 5924 
 
 5948 
 
 5972 
 
 5996 
 
 6021 
 
 6045 
 
 6 
 
 53 
 
 4527 
 
 455o 
 
 4574 
 
 4597 
 
 4621I4644 
 
 6 
 
 54 
 
 6069 
 
 6094 
 
 6118 
 
 6142 
 
 6167 
 
 6191 
 
 5 
 
 54 
 
 4668 
 
 4691 
 
 47i5 
 
 4738 
 
 476i'4785 
 
 5 
 
 55 
 
 62 1 5 
 
 6240 
 
 6264 
 
 6288 
 
 63i2 
 
 6337 
 
 4 
 
 55 
 
 4808 
 
 4832 
 
 4855 
 
 4879 
 
 4902 4926 
 5o43 5o66 
 
 4 
 
 56 
 
 636i 
 
 6385 
 
 6409 
 
 6434 
 
 6458 
 
 6482 
 
 3 
 
 56 
 
 4949 
 
 4972 
 
 4996 
 
 5019 
 
 3 
 
 57 
 
 65o7 
 
 653i 
 
 6555 
 
 6579 
 
 6604 
 
 6628 
 
 2 
 
 57 
 
 Sogo 
 
 5ii3 
 
 5io6 
 
 5 1 60 
 
 5i83|5207 
 
 2 
 
 58 
 
 6652 
 
 6676 
 
 6701 
 
 6725 
 
 6749 
 
 6773 
 
 I 
 
 58 
 
 523o 
 
 5254 
 
 5277 
 
 53oo 
 
 5324:534? 
 5464:5488 
 
 I 
 
 59 
 
 6798 
 
 6822 
 
 6846 
 
 6870 
 
 6894 
 
 6919 
 
 
 
 59 
 
 5371 
 
 5394 
 
 5417 
 
 5441 
 
 
 
 P.P 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 1 10" 
 
 
 Co-sine of 49 Degrees. 
 
 Co-sine of 48 Degrees. 
 
 . ,jl" 2" 3" 4" 5" 6" 7" 8" 9" 
 ^ (3 5 7 10 12 15. 17 20 22 
 
 P p«,f J 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 r.rari ^ 2 5 7 10 12 14 17 19 21 
 

 
 
 
 LOGAEITHMIO 
 
 Tangents. 
 
 
 
 
 61 
 
 
 Tangent of 40 Degrees. 
 
 - 
 
 .s 
 
 Tangent of 41 Degrees. 
 
 
 0" 
 
 10" 
 
 SO" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 
 
 
 9.92381Z 
 
 3856 
 
 3899 
 
 3942 
 
 3985 4027 59 
 
 
 
 9.939i6>: 
 
 9206 
 
 9248 
 
 9291 
 
 9333 
 
 937G 
 
 59 
 
 I 
 
 4070 
 
 4ii3 
 
 4i5b 
 
 4198 
 
 4241 
 
 4284 
 
 58 
 
 I 
 
 9418 
 
 9461 
 
 95o3 
 
 9546 
 
 9588 
 
 9631 
 
 58 
 
 2 
 
 4327 
 
 4369 
 
 44i2 
 
 4455 
 
 4498 
 
 4540 
 
 57 
 
 2 
 
 9673 
 
 9716 
 
 9758 
 
 9801 
 
 9843 
 
 9886 
 
 57 
 
 3 
 
 4583 
 
 462b 
 
 4669 
 
 4711 
 
 4754 
 
 4797 
 
 56 
 
 3 
 
 9928 
 
 9971 
 
 ..i3 
 
 ..56 
 
 ..98 
 
 .i4i 
 
 56 
 
 4 
 
 484o 
 
 4882 
 
 4925 
 
 4968 
 
 5oi I 
 
 5o53 
 
 55 
 
 4 
 
 9.940183 
 
 0226 
 
 0268 
 
 o3i I 
 
 o354 
 
 0396 
 
 55 
 
 5 
 
 5096 
 
 5i39 
 
 5i8i 
 
 5224 
 
 5267 
 
 53io 
 
 54 
 
 5 
 
 0439 
 
 o48i 
 
 o524 
 
 o566 
 
 0609 
 
 o65i 
 
 54 
 
 6 
 
 5352 
 
 5395 
 
 5438 
 
 5481 
 
 5523 
 
 5566 
 
 53 
 
 6 
 
 0694 
 
 0736 
 
 0779 
 
 0821 
 
 0864 
 
 0906 
 
 53 
 
 7 
 
 5609 
 
 5652 
 
 5694 
 
 5737 
 
 5780 
 
 5822 
 
 52 
 
 7 
 
 0949 
 
 0991 
 
 io34 
 
 1076 
 
 1119 
 
 I 161 
 
 52 
 
 8 
 
 5865 
 
 5908 
 
 595. 
 
 5993 
 
 6o36 
 
 6079 
 
 5i 
 
 8 
 
 I204 
 
 1246 
 
 1289 
 
 i33i 
 
 1374 
 
 i4i6 
 
 5i 
 
 9 
 
 6122 
 
 6164 
 
 6207 
 
 625o 
 
 6292 
 
 6335 
 
 5o 
 
 9 
 
 1459 
 
 i5oi 
 
 1 544 
 
 i586 
 
 1628 
 
 1671 
 
 5o 
 
 10 
 
 9.926378 
 
 6421 
 
 6463 
 
 65o6 
 
 6549 
 
 6591 
 
 49 
 
 10 
 
 9-941713 
 
 1756 
 
 1798 
 
 i84i 
 
 i883 
 
 1926 
 
 49 
 
 1 1 
 
 6634 
 
 6677 
 
 6720 
 
 6762 
 
 68o5 
 
 6848 
 
 48 
 
 II 
 
 1968 
 
 201 1 
 
 2o53 
 
 2096 
 
 2i38 
 
 2181 
 
 48 
 
 12 
 
 6890 
 
 6933 
 
 6976 
 
 7019 
 
 7061 
 
 7104 
 
 47 
 
 12 
 
 2223 
 
 2266 
 
 23o8 
 
 235i 
 
 2393 
 
 2436 
 
 47 
 
 i3 
 
 7147 
 
 7189 
 
 7232 
 
 7275 
 
 7317 
 
 7360 
 
 46 
 
 i3 
 
 2478 
 
 2521 
 
 2563 
 
 2606 
 
 2648 
 
 2691 
 
 46 
 
 i4 
 
 74o3 
 
 7446 
 
 7488 
 
 753i 
 
 7574 
 
 7616 
 
 45 
 
 i4 
 
 2733 
 
 2776 
 
 2818 
 
 2861 
 
 2903 
 
 2945 
 
 45 
 
 i5 
 
 7659 
 
 7702 
 
 7744 
 
 7787 
 
 783o 
 
 7872 
 
 44 
 
 i5 
 
 2988 
 
 3o3o 
 
 3073 
 
 3ii5 
 
 3i58 
 
 3200 
 
 44 
 
 i6 
 
 7915 
 
 7958 
 
 8001 
 
 8043 
 
 8086 
 
 8129 
 
 43 
 
 16 
 
 3243 
 
 3285 
 
 3328 
 
 3370 
 
 34i3 
 
 3455 
 
 43 
 
 17 
 
 8171 
 
 8214 
 
 8257 
 
 8299 
 
 8342 
 
 8385 
 
 42 
 
 17 
 
 3498 
 
 3540 
 
 3583 
 
 3625 
 
 3667 
 
 3710 
 
 42 
 
 i8 
 
 8427 
 
 8470 
 
 85i3 
 
 8555 
 
 8598 
 
 864i 
 
 4i 
 
 18 
 
 3752 
 
 3795 
 
 3837 
 
 388o 
 
 3922 
 
 3965 
 
 4i 
 
 '9 
 
 8684 
 
 8726 
 
 8769 
 
 8812 
 
 8854 
 
 8897 
 
 4o 
 
 19 
 
 4007 
 
 4o5o 
 
 4092 
 
 4i35 
 
 4177 
 
 4219 
 
 4o 
 
 20 
 
 g. 928940 
 
 8982 
 
 9025 
 
 9068 
 
 91 10 
 
 9153 
 
 39 
 
 20 
 
 9.944262 
 
 43o4 
 
 4347 
 
 4389 
 
 4432 
 
 4474 
 
 39 
 
 21 
 
 9196 
 
 9238 
 
 9281 
 
 9324 
 
 9366 
 
 9409 
 
 38 
 
 21 
 
 4517 
 
 4559 
 
 4602 
 
 4644 
 
 4686 
 
 4729 
 
 38 
 
 22 
 
 9452 
 
 9494 
 
 9537 
 
 9580 
 
 9622 
 
 9665 
 
 37 
 
 22 
 
 4771 
 
 48i4 
 
 4856 
 
 4899 
 
 4941 
 
 4984 
 
 37 
 
 23 
 
 9708 
 
 9750 
 
 9793 
 
 9836 
 
 9878 
 
 9921 
 
 36 
 
 23 
 
 6026 
 
 5069 
 
 5i 1 1 
 
 5i53 
 
 5196 
 
 5238 
 
 36 
 
 24 
 
 9964 
 
 ...6 
 
 ..49 
 
 ..92 
 
 .134 
 
 .177 
 
 35 
 
 24 
 
 5281 
 
 5323 
 
 5366 
 
 5408 
 
 545 1 
 
 5493 
 
 35 
 
 25 
 
 9.930220 
 
 0262 
 
 o3o5 
 
 o348 
 
 0390 
 
 0433 
 
 34 
 
 25 
 
 5535 
 
 5578 
 
 5620 
 
 5663 
 
 5705 
 
 5748 
 
 34 
 
 26 
 
 0475 
 
 o5i8 
 
 o56i 
 
 o6o3 
 
 o646 
 
 0689 
 
 33 
 
 26 
 
 5790 
 
 5832 
 
 5875 
 
 5917 
 
 5960 
 
 6002 
 
 33 
 
 27 
 
 0731 
 
 0774 
 
 0817 
 
 0859 
 
 0902 
 
 0945 
 
 32 
 
 27 
 
 6045 
 
 6087 
 
 6i3o 
 
 6172 
 
 6214 
 
 6257 
 
 32 
 
 28 
 
 0987 
 
 io3o 
 
 1073 
 
 iii5 
 
 ii58 
 
 1200 
 
 3i 
 
 28 
 
 6299 
 
 6342 
 
 6384 
 
 6427 
 
 6469 
 
 65ii 
 
 3i 
 
 29 
 
 1243 
 
 1286 
 
 i328 
 
 1371 
 
 i4i4 
 
 i456 
 
 3o 
 
 29 
 
 6554 
 
 6596 
 
 6639 
 
 6681 
 
 6724 
 
 6766 
 
 3o 
 
 3o 
 
 9.931499 
 
 l542 
 
 i584 
 
 1627 
 
 1669 
 
 1712 
 
 29 
 
 3o 
 
 9.946808 
 
 685i 
 
 6893 
 
 6936 
 
 6978 
 
 7021 
 
 29 
 
 3i 
 
 1755 
 
 1797 
 
 i84o 
 
 i883 
 
 1925 
 
 1968 
 
 28 
 
 3 1 
 
 7063 
 
 7105 
 
 7148 
 
 7190 
 
 7233 
 
 7275 
 
 28 
 
 32 
 
 2010 
 
 2o53 
 
 2096 
 
 2i38 
 
 2181 
 
 2224 
 
 27 
 
 32 
 
 73i8 
 
 7360 
 
 74o2 
 
 7445 
 
 7487 
 
 7530 
 
 27 
 
 33 
 
 2266 
 
 2309 
 
 235i 
 
 2394 
 
 2437 
 
 2479 
 
 26 
 
 33 
 
 7572 
 
 7614 
 
 7657 
 
 7699 
 
 7742 
 
 7784 
 
 26 
 
 34 
 
 2522 
 
 2565 
 
 2607 
 
 265o 
 
 2692 
 
 2735 
 
 25 
 
 34 
 
 7827 
 
 7869 
 
 791 1 
 
 7954 
 
 7996 
 
 8039 
 
 25 
 
 35 
 
 2778 
 
 2820 
 
 2863 
 
 2906 
 
 2948 
 
 2991 
 
 24 
 
 35 
 
 8081 
 
 8123 
 
 8166 
 
 8208 
 
 825i 
 
 8293 
 
 24 
 
 36 
 
 3o33 
 
 3076 
 
 3i 19 
 
 3i6i 
 
 3 204 
 
 3246 
 
 23 
 
 36 
 
 8335 
 
 8378 
 
 8420 
 
 8463 
 
 85o5 
 
 8548 
 
 23 
 
 37 
 
 3289 
 
 3332 
 
 3374 
 
 3417 
 
 3459 
 
 35o2 
 
 22 
 
 37 
 
 8590 
 
 8632 
 
 8675 
 
 8717 
 
 8760 
 
 8802 
 
 22 
 
 38 
 
 3545 
 
 3587 
 
 363o 
 
 3672 
 
 3715 
 
 3758 
 
 21 
 
 38 
 
 8844 
 
 8887 
 
 8929 
 
 8972 
 
 9014 
 
 9o56 
 
 21 
 
 39 
 
 38oo 
 
 3843 
 
 3885 
 
 3928 
 
 3971 
 
 4oi3 
 
 20 
 
 39 
 
 9099 
 
 9141 
 
 9184 
 
 9226 
 
 9268 
 
 931 1 
 
 20 
 
 4o 
 
 9.934056 
 
 4098 
 
 4i4i 
 
 4i84 
 
 4226 
 
 4269 
 
 19 
 
 4o 
 
 9.949353 
 
 9396 
 
 9438 
 
 9480 
 
 9523 
 
 9565 
 
 19 
 
 4i 
 
 43ii 
 
 4354 
 
 4397 
 
 4439 
 
 4482 
 
 4524 
 
 18 
 
 4i 
 
 9608 
 
 9650 
 
 9692 
 
 9735 
 
 9777 
 
 9819 
 
 18 
 
 42 
 
 4567 
 
 4610 
 
 4652 
 
 4695 
 
 4737 
 
 4780 
 
 17 
 
 42 
 
 9862 
 
 9904 
 
 9947 
 
 9989 
 
 ..3i 
 
 ..74 
 
 17 
 
 43 
 
 4822 
 
 4865 
 
 4908 
 
 4950 
 
 4993 
 
 5o35 
 
 16 
 
 43 
 
 9.9501 16 
 
 0159 
 
 0201 
 
 0243 
 
 0286 
 
 o328 
 
 16 
 
 44 
 
 5078 
 
 5l2I 
 
 5i63 
 
 5206 
 
 5248 
 
 5291 
 
 i5 
 
 44 
 
 0371 
 
 o4i3 
 
 0455 
 
 0498 
 
 o54o 
 
 o582 
 
 i5 
 
 45 
 
 5333 
 
 5376 
 
 5419 
 
 5461 
 
 55o4 
 
 5546 
 
 i4 
 
 45 
 
 0625 
 
 0667 
 
 0710 
 
 0752 
 
 0794 
 
 0837 
 
 i4 
 
 46 
 
 5589 
 
 5632 
 
 5674 
 
 5717 
 
 5759 
 
 58o2 
 
 i3 
 
 46 
 
 0879 
 
 0921 
 
 0964 
 
 1006 
 
 1049 
 
 1 09 1 
 
 i3 
 
 47 
 
 5844 
 
 5887 
 
 5930 
 
 5972 
 
 6oi5 
 
 6o57 
 
 12 
 
 47 
 
 ii33 
 
 1176 
 
 1218 
 
 1261 
 
 i3o3 
 
 1 345 
 
 12 
 
 48 
 
 6100 
 
 6142 
 
 6i85 
 
 622756270 
 
 63i3 
 
 1 1 
 
 48 
 
 1 388 
 
 i43o 
 
 1472 
 
 i5i5 
 
 1557 
 
 1600 
 
 II 
 
 49 
 
 6355 
 
 6398 
 
 644o 
 
 64836525 
 
 6568 
 
 10 
 
 49 
 
 1642 
 
 1684 
 
 1727 
 
 1769 
 
 1811 
 
 i854 
 
 ID 
 
 5o 
 
 9.93661 1 
 
 6653 
 
 6696 
 
 67386781 
 
 6823 
 
 9 
 
 5o 
 
 9.951896 
 
 1928 
 
 1981 
 
 2023 
 
 2066 
 
 2108 
 
 9 
 
 5i 
 
 6866 
 
 6908 
 
 6951 
 
 6994 
 
 7o36 
 
 7079 
 
 8 
 
 5i 
 
 2i5o 
 
 2193 
 
 2235 
 
 2277 
 
 2320 
 
 2362 
 
 8 
 
 52 
 
 7121 
 
 7164 
 
 7206 
 
 7249 
 
 7291 
 
 7334 
 
 7 
 
 52 
 
 24o5 
 
 2447 
 
 2489 
 
 2532 
 
 2574 
 
 2616 
 
 7 
 
 53 
 
 7377 
 
 7419 
 
 7462 
 
 75o4 
 
 7547 
 
 7589 
 
 6 
 
 53 
 
 2659 
 
 2701 
 
 2743 
 
 2786 
 
 2828 
 
 2870 
 
 6 
 
 54 
 
 7632 
 
 7674 
 
 7717 
 
 77597802 
 
 7845 
 
 5 
 
 54 
 
 2913 
 
 2955 
 
 2998 
 
 3o4o 
 
 3082 
 
 3i25 
 
 5 
 
 55 
 
 7887 
 
 7930 
 
 7972 
 
 8oi58o57 
 
 8100 
 
 4 
 
 55 
 
 3167 
 
 3209 
 
 3252 
 
 3294 
 
 3336 
 
 3379 
 
 4 
 
 56 
 
 8142 
 
 8i85 
 
 8227 
 
 8270 83i2 
 
 8355 
 
 3 
 
 56 
 
 3421 
 
 3463 
 
 35o6 
 
 3548 
 
 3591 
 
 3633 
 
 3 
 
 57 
 
 8398 
 
 844o 
 
 8483 
 
 8525,8568 
 
 8610 
 
 2 
 
 57 
 
 3675 
 
 3718 
 
 3760 
 
 38o2 
 
 3845 
 
 3887 
 
 2 
 
 58 
 
 8653 
 
 8695 
 
 8738 
 
 87808823 
 
 8865 
 
 I 
 
 58 
 
 3929 
 
 3972 
 
 4oi4 
 
 4o56 
 
 4099 
 
 4i4i 
 
 I 
 
 59 
 
 8908 
 
 8950 
 
 8993 
 40" 
 
 90359078 
 
 9121 
 
 
 
 59 
 
 4i83 
 
 4226 
 
 4268 
 
 43io 
 
 4353 
 
 4395 
 
 
 
 
 60" 
 
 SO- 
 
 30" 1 20" 1 10" 
 
 c 
 
 
 60" 
 
 50" ! 40" 1 
 
 30" 
 
 20" 
 
 10" 
 
 
 Co-tangent of 49 Degrees. 
 
 s 
 
 Co-tangent of 48 Degrees. 
 
 p p^ . i 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 f-'-art-^^ 9 13 17 21 26 30 34 38 
 
 P.] 
 
 P„J1" 2" 3" 4" 5" 6" 7" 8" ! 
 ^"M* 8 13 17 21 25 30 34 3 
 
 J" 
 8 
 
 E 
 
66 
 
 Logarithmic Sines. 
 
 
 Sine of 42 Degrees. 
 
 
 
 Sine of 43 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 1 30" 
 
 40" 1 50" 1 
 
 O 
 
 □.8255i I 
 565i 
 
 5534 
 
 5558 
 
 558i 
 
 56o4 
 
 5628 
 
 59 
 
 
 
 9.833783 
 
 38o6 
 
 3828 385i 
 
 3874 
 
 3896 
 
 59^ 
 
 I 
 
 5675 
 
 5698 
 
 5721 
 
 5745 
 
 5768 
 
 58 
 
 I 
 
 3919 
 
 3941 
 
 3964 3986 
 
 4009 
 
 4o32 
 
 58 
 
 2 
 
 5791 
 5931 
 6071 
 621 1 
 
 58i5 
 
 5838 
 
 586i 
 
 5885 
 
 5908 
 
 57 
 
 2 
 
 4o54 
 
 4077 
 
 4099 4122 
 
 4i44 
 
 4167 
 
 57 
 
 3 
 
 5955 
 
 5978 
 
 6001 
 
 6025 
 
 6o48 
 
 56 
 
 3 
 
 4189 
 
 4212 
 
 4234 4257 
 
 4280 
 
 43o2 
 
 56 
 
 4 
 
 6095 
 6235 
 
 6118 
 
 6i4i 
 
 6i65 
 
 6188 
 
 55 
 
 4 
 
 4325 
 
 4347 
 
 4370^4392 
 
 44i5 
 
 4437 
 
 55 
 
 5 
 
 6258 
 
 6281 
 
 63o5 
 
 6328 
 
 54 
 
 5 
 
 4460 
 
 4482 
 
 45o5,4527 
 
 455o 
 
 4572 
 
 54 
 
 6 
 
 635i 
 
 6375 
 
 6398 
 
 6421 
 
 6444 
 
 6468 
 
 53 
 
 6 
 
 4595 
 
 4617 
 
 464o 4662 
 
 4685 
 
 4707 
 
 53 
 
 7 
 8 
 
 6491 
 663i 
 
 65i4 
 
 6538 
 
 656i 
 
 6584 
 
 6607 
 
 52 
 
 7 
 
 4730 
 
 4752 
 
 4775 
 
 4797 
 
 4820 
 
 4842 
 
 52 
 
 6654 
 
 6677 
 
 6701 
 
 6724 
 
 6747 
 
 5i 
 
 8 
 
 4865 
 
 4887 
 
 4910 
 
 4932 
 
 4954 
 
 4977 
 
 5i 
 
 
 
 6770 
 
 6794 
 
 6817 
 
 684o 
 
 6863 
 
 6887 
 
 5o 
 
 9 
 
 4999 
 
 5o22 
 
 5o44 
 
 5067 
 
 5089 
 
 5i 12 
 
 5o 
 
 7 
 
 lO 
 
 9.826910 
 7049 
 
 6933 
 
 6956 
 
 6980 
 
 7003 
 
 7026 
 
 49 
 
 10 
 
 9.835i34 
 
 5i57 
 
 5179 
 
 5201 
 
 5224 
 
 5246 
 
 49 
 
 II 
 
 7073 
 
 7096 
 
 7119 
 
 7142 
 
 7165 
 
 48 
 
 1 1 
 
 5269 
 
 5291 
 
 53i4 
 
 5336 
 
 5358 
 
 538i 
 
 48 
 
 12 
 
 7189 
 
 7212 
 
 7235 
 
 7258 
 
 7282 
 
 73o5 
 
 47 
 
 12 
 
 54o3 
 
 5426 
 
 5448 
 
 5471 
 
 5493 
 
 55i5 
 
 47 
 
 i3 
 
 73287351 
 
 7374 
 
 7398 
 
 7421 
 
 7444 
 
 46 
 
 i3 
 
 5538 
 
 556o 
 
 5583 
 
 56o5 
 
 5627 
 
 565o 
 
 46 
 
 i4 
 
 7467 
 
 7490 
 
 75i4 
 
 7537 
 
 7560 
 
 7583 
 
 45 
 
 i4 
 
 5672 
 
 5695 
 
 5717 
 
 5739 
 
 5762 
 
 5784 
 
 45 
 
 i5 
 
 7606 
 
 7629 
 
 7653 
 
 7676 
 
 7699 
 
 7722 
 
 44 
 
 i5 
 
 5807 
 
 5829 
 
 585i 
 
 5874 
 
 5896 
 
 5918 
 
 44 
 
 i6 
 
 7745 
 
 7768 
 
 7792 
 
 7815 
 
 7838 
 
 7861 
 
 43 
 
 16 
 
 5941 
 
 5963 
 
 5986 
 
 6008 
 
 6o3o 
 
 6o53 
 
 43 
 
 17 
 
 7884 
 
 7907 
 
 7931 
 
 7954 
 
 7977 
 
 8000 
 
 42 
 
 17 
 
 6075 
 
 6097 
 
 6120 
 
 6i42 
 
 6 1 64 
 
 6187 
 
 42 
 
 i8 
 
 8023 
 
 8o46 
 
 8069 
 
 8093 
 
 8116 
 
 8139 
 
 4i 
 
 18 
 
 6209 
 
 623i 
 
 6254 
 
 6276 
 
 6298 
 
 6321 
 
 4i 
 
 iq 
 
 8162 
 
 8i85 
 
 8208 
 
 8231 
 
 8254 
 
 8278 
 
 4o 
 
 19 
 
 6343 
 
 6365 
 
 6388 6410 
 
 6432 
 
 6455 
 
 40 
 
 7 
 
 20 
 
 9.828301 
 
 8324 
 
 8347 
 
 8370 
 
 8393 
 
 84i6 
 
 39 
 
 20 
 
 9.836477 
 
 6499 
 
 6522 6544 
 
 6566 
 
 6589 
 
 39 
 
 21 
 
 8439 
 
 8462 
 
 8485 
 
 85o9 
 
 8532 
 
 8555 
 
 38 
 
 21 
 
 6611 
 
 6633 
 
 66566678 
 
 6700 
 
 6722 
 
 38 
 
 22 
 
 8578 
 
 8601 
 
 8624 
 
 8647 
 
 8670 
 
 8693 
 
 37 
 
 22 
 
 6745 
 
 6767 
 
 6789 
 
 6812 
 
 6834 
 
 6856 
 
 37 
 
 23 
 
 8716 
 
 8739 
 
 8762 
 
 8786 
 
 8809 
 
 8832 
 
 36 
 
 2 3 
 
 6878 
 
 6901 
 
 6923 
 
 6945 
 
 6968 
 
 6990 
 
 36 
 
 24 
 
 8855 
 
 8878 
 
 8901 
 
 8924 
 
 8947 
 
 8970 
 
 35 
 
 24 
 
 7012 
 
 7034 
 
 7057 
 
 7079 
 
 7101 
 
 7123 
 
 35 
 
 25 
 
 8993 
 
 9016 
 
 9039 
 
 9062 
 
 9085 
 
 9108 
 
 34 
 
 25 
 
 7146 
 
 7168 
 
 7190 
 
 7212 
 
 7235 
 
 7257 
 
 34 
 
 26 
 
 9i3i 
 
 9154 
 
 9177 
 
 9200 
 
 9223 
 
 9246 
 
 33 
 
 26 
 
 7279 
 
 7301 
 
 7324 
 
 7346 
 
 7368 
 
 7390 
 
 33 
 
 27 
 
 9269 
 
 9292 
 
 93i5 
 
 9338 
 
 9361 
 
 9384 
 
 32 
 
 27 
 
 7412 
 
 7435 
 
 7457 
 
 7479 
 
 75oi 
 
 7524 
 
 32 
 
 28 
 
 9407 
 
 9430 
 
 9453 
 
 9476 
 
 9499 
 
 9522 
 
 3i 
 
 28 
 
 7546 
 
 7568 
 
 7590 
 
 7612 
 
 7635 
 
 7657 
 
 3i 
 
 29 
 
 9545 
 
 9568 9591 
 
 9614 
 
 9637 
 
 9660 
 
 3o 
 
 29 
 
 7679 
 
 7701 
 
 7723 
 
 7746 
 
 7768 
 
 7790 
 
 3o 
 
 3o 
 
 9.829683 
 
 9706 
 
 9729 
 
 9752 
 
 9775 
 
 9798 
 
 29 
 
 3o 
 
 9.837812 
 
 7834 
 
 7857 
 
 7879 
 
 7901 
 
 7923 
 
 29 
 
 3i 
 
 9821 
 
 9844 
 
 9867 
 
 9890 
 
 9913 
 
 9936 
 
 28 
 
 3i 
 
 7945 
 
 7967 
 
 7990 
 
 8012 
 
 8o34 
 
 8o56 
 
 28 
 
 32 
 
 9959 
 
 9982 
 
 ...5 
 
 . .28 
 
 ..5i 
 
 ..74 
 
 27 
 
 32 
 
 8078 
 
 8100 
 
 8123 
 
 8145 
 
 8167 
 
 8189 
 
 27 
 
 33 
 
 9.830097 
 
 0120 
 
 0142 
 
 oi65 
 
 0188 
 
 021 1 
 
 26 
 
 33 
 
 8211 
 
 8233 
 
 8256 
 
 8278 
 
 83oo 
 
 8322 
 
 26 
 
 34 
 
 0234 
 
 0257 
 
 0280 
 
 o3o3 
 
 o326 
 
 o349 
 
 25 
 
 34 
 
 8344 
 
 8366 
 
 8388 
 
 84io 
 
 8433 
 
 8455 
 
 25 
 
 35 
 
 0372 
 
 0395 
 
 0417 
 
 o44o 
 
 o463 
 
 o486 
 
 24 
 
 35 
 
 8477 
 
 8499 
 
 8521 
 
 8543 
 
 8565 
 
 8587 
 
 24 
 
 36 
 
 o5o9 
 
 o532 
 
 o555 
 
 0578 
 
 0601 
 
 0624 
 
 23 
 
 36 
 
 8610 
 
 8632 
 
 8654 
 
 8676 
 
 8698 
 
 8720 
 
 23 
 
 37 
 
 o646 
 
 0669 
 
 0692 
 
 0715 
 
 0738 
 
 0761 
 
 22 
 
 37 
 
 8742 
 
 8764 
 
 8786 
 
 8808 
 
 883i 
 
 8853 
 
 22 
 
 38 
 
 0784 
 
 0807 
 
 0829 
 
 o852 
 
 0875 
 
 0898 
 
 21 
 
 38 
 
 8875 
 
 8897 
 
 8919 
 
 8941 
 
 8963 
 
 8985 
 
 21 
 
 39 
 
 0921 
 
 0944 
 
 0967 
 
 0989 
 
 1012 
 
 io35 
 
 20 
 
 39 
 
 9007 
 
 9029 
 
 9o5i 
 
 9073 
 
 9095 
 
 9118 
 
 20 
 
 40 
 
 9.83io58 
 
 1081 
 
 I io4 
 
 1127 
 
 ii49 
 
 1 172 
 
 19 
 
 40 
 
 9.839140 
 
 9162 
 
 9184 
 
 9206 
 
 9228 
 
 9250 
 
 19 
 
 4i 
 
 1 195 
 
 1218 
 
 1241 
 
 1263 
 
 1286 
 
 1 309 
 
 18 
 
 4i 
 
 9272 
 
 9294 
 
 9316 
 
 9338 
 
 9360 
 
 9382 
 
 18 
 
 42 
 
 i332 
 
 i355 
 
 1378 
 
 i4oo 
 
 l423 
 
 i446 
 
 17 
 
 42 
 
 94o4 
 
 9426 
 
 9448 
 
 9470 
 
 9492 
 
 95 1 4 
 
 17 
 
 43 
 
 1469 
 
 1492 
 
 i5r4 
 
 i537 
 
 i56o 
 
 i583 
 
 16 
 
 43 
 
 9536 
 
 9558 
 
 9580 
 
 9602 
 
 9624 
 
 9646 
 
 16 
 
 44 
 
 1606 
 
 1628 
 
 i65i 
 
 1674 
 
 1697 
 
 1720 
 
 i5 
 
 44 
 
 9668 
 
 9690 
 
 9712 
 
 9734 
 
 9756 
 
 9778 
 
 i5 
 
 45 
 
 1742 
 
 1765 
 
 1788 
 
 1811 
 
 i833 
 
 i856 
 
 i4 
 
 45 
 
 9800 
 
 9822 
 
 9844 
 
 9866 
 
 9888 
 
 9910 
 
 i4 
 
 46 
 
 1879 
 
 1902 
 
 1924 
 
 1947 
 
 1970 
 
 1993 
 
 i3 
 
 46 
 
 9932 
 
 9954 
 
 9976 
 
 9998 
 
 . .20 
 
 ..42 
 
 i3 
 
 47 
 
 20l5 
 
 2o38 
 
 2061 
 
 2084 
 
 2106 
 
 2129 
 
 12 
 
 47 
 
 9.840064 
 
 0086 
 
 0108 
 
 oi3o 
 
 0l52 
 
 0174 
 
 12 
 
 48 
 
 2t52 
 
 2175 
 
 2197 
 
 2220 
 
 2243 
 
 2266 
 
 1 1 
 
 48 
 
 0196 
 
 0218 
 
 0240 
 
 0262 
 
 0284 
 
 o3o6 
 
 II 
 
 49 
 
 2288 
 
 23l 1 
 
 2334 
 
 2356 
 
 2379 
 
 2402 
 
 10 
 
 49 
 
 o328 
 
 o35o 
 
 0372 
 
 0393 
 
 o4i5 
 
 0437 
 
 10 
 
 5o 
 
 9.832425 
 
 2447 
 
 2470 
 
 2493 
 
 25i5 
 
 2538 
 
 9 
 
 5o 
 
 9.840459 
 
 o48i 
 
 o5o3 
 
 o525 
 
 o547 
 
 0569 
 
 9 
 
 5i 
 
 256i 
 
 2584 
 
 2606 
 
 2629 
 
 2652 
 
 2674 
 
 8 
 
 5i 
 
 0591 
 
 06 1 3 
 
 o635 
 
 0657 
 
 0678 
 
 0700 
 
 8 
 
 52 
 
 2697 
 
 2720 
 
 2742 
 
 2765 
 
 2788 
 
 2810 
 
 7 
 
 52 
 
 0722 
 
 0744 
 
 0766 
 
 0788 
 
 0810 
 
 o832 
 
 7 
 
 53 
 
 2833 
 
 2856 
 
 2878 
 
 2901 
 
 292/ 
 
 2946 
 
 6 
 
 53 
 
 o854 
 
 0876 
 
 0897 
 
 0919 
 
 0941 
 
 0963 
 
 6 
 
 54 
 
 296^ 
 
 2992 
 
 3oi4 
 
 3o37 
 
 3o6o 
 
 3082 
 
 5 
 
 54 
 
 0985 
 
 1007 
 
 1029 
 
 io5i 
 
 1072 
 
 1094 
 
 5 
 
 55 
 
 3iof 
 
 3 1 28 
 
 3i5c 
 
 3173 
 
 3196 
 
 3218 
 
 4 
 
 55 
 
 II 16 
 
 ii38 
 
 1 160 
 
 1182 
 
 120I 
 
 1226 
 
 4 
 
 56 
 
 • 324i 
 
 3263 
 
 328e 
 
 3309 
 
 333i 
 
 3354 
 
 3 
 
 56 
 
 1247 
 
 1269 
 
 1291 
 
 i3i3 
 
 i335 
 
 i357 
 
 3 
 
 5^ 
 
 r 337^ 
 
 / 339^ 
 
 )3422 
 
 3444 
 
 3467 
 
 3490 
 
 2 
 
 57 
 
 1378 
 
 i4oo 
 
 1422 
 
 i444 
 
 i466 
 
 i488 
 
 2 
 
 56 
 
 S 35i5 
 
 !353f 
 
 )355'; 
 
 r358f 
 
 )36o3 
 
 13625 
 
 I 
 
 58 
 
 i5o9 
 
 i53i 
 
 i553 
 
 1575 
 
 1597 
 
 1619 
 
 I 
 
 5c 
 
 ) 364^ 
 
 5 367f 
 
 1369: 
 
 ;37if 
 
 )373^ 
 
 ^3761 
 
 
 
 5^ 
 
 1 64c 
 
 1662 
 
 i684 
 
 1706 
 
 1728 
 
 i74g 
 
 
 
 
 60" 
 
 50" 40" 
 
 1 30" 1 20" 10" 
 
 S 
 
 
 60" 
 
 50" 
 
 40" 1 30' 
 
 20" 1 10" 
 
 - _c 
 
 Co-sine of 47 Degrees. 
 
 Co-sine of 46 Degrees. 
 
 T, p J 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 r. fart ^2 5 7 9 11 14 16 18 21 
 
 p p . j 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 F.fart^ 2 4 7 9 11 13 16 18 20 
 

 
 
 
 Logarithmic 
 
 Tangents. 
 
 
 
 
 
 67 
 
 
 Tan 
 
 oent of 42 Decrees. 
 
 
 
 
 iS 
 
 Tangent of 43 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10' 
 
 20" 
 
 30' 
 
 40" 
 
 50" 
 
 
 
 9-954437 
 
 4480 
 
 4522 
 
 4564 
 
 4607 
 
 4649 
 
 59 
 
 
 
 9.969656 
 
 9698 
 
 9740 
 
 9783 
 
 9825 
 
 9867 
 
 59 
 
 I 
 
 4691 
 
 4734 
 
 4776 
 
 4819 
 
 486i 
 
 4903 
 
 58 
 
 I 
 
 9909 
 
 9951 
 
 9994 
 
 ..36 
 
 ..78 
 
 . 120 
 
 58 
 
 2 
 
 4946 
 
 4988 
 
 5o3o 
 
 5073 
 
 5ii5 
 
 5i57 
 
 57 
 
 2 
 
 9 .970162 
 
 0205 
 
 0247 
 
 0289 
 
 o33i 
 
 0373 
 
 57 
 
 3 
 
 5200 
 
 5242 
 
 5284 
 
 5327 
 
 5369 
 
 5411 
 
 56 
 
 3 
 
 o4i6 
 
 o458 
 
 o5oo 
 
 o542 
 
 o584 
 
 0627 
 
 56 
 
 4 
 
 5454 
 
 5496 
 
 5538 
 
 558i 
 
 5623 
 
 5665 
 
 55 
 
 4 
 
 0669 
 
 071 1 
 
 0753 
 
 0796 
 
 o838 
 
 0880 
 
 55 
 
 5 
 
 5708 
 
 5750I5792 
 
 5835 
 
 5877 
 
 5919 
 
 54 
 
 5 
 
 0922 
 
 0964 
 
 1007 
 
 1049 
 
 1091 
 
 ii33 
 
 54 
 
 6 
 
 5961 
 
 6oo4 
 
 I6046 
 
 6088 
 
 6i3i 
 
 6173 
 
 53 
 
 6 
 
 1 175 
 
 1218 
 
 1260 
 
 l302 
 
 1 344 
 
 i386 
 
 53 
 
 7 
 
 62i5 
 
 6258 
 
 63oo 
 
 6342 
 
 6385 
 
 6427 
 
 52 
 
 7 
 
 1429 
 
 1471 
 
 t5i3 
 
 i555 
 
 1597 
 
 i64o 
 
 52 
 
 « 
 
 6469 
 
 65I2J6554 
 
 6596 
 
 6639 
 
 6681 
 
 5i 
 
 8 
 
 1682 
 
 1724 
 
 1766 
 
 1808 
 
 i85i 
 
 1893 
 
 5i 
 
 9 
 
 6723 
 
 6766,6808 
 
 685o 
 
 6893 
 
 6935 
 
 5o 
 
 9 
 
 1935 
 
 1977 
 
 2019 
 
 2062 
 
 2104 
 
 2i46 
 
 5o 
 
 lO 
 
 9.956977 
 
 7020 
 
 7062 
 
 7104 
 
 7146 
 
 7189 
 
 49 
 
 10 
 
 9.972188 
 
 223o 
 
 2273 
 
 23i5 
 
 2357 
 
 2399 
 
 49 
 
 1 1 
 
 7231 
 
 7273 
 
 7316 
 
 7358 
 
 7400 
 
 7443 
 
 48 
 
 1 1 
 
 2441 
 
 2484 
 
 2526 
 
 2568 
 
 2610 
 
 2652 
 
 48 
 
 12 
 
 7485 
 
 7527 
 
 7570 
 
 7612 
 
 7654 
 
 7697 
 
 47 
 
 12 
 
 2695 
 
 2737 
 
 2779 
 
 2821 
 
 2863 
 
 2905 
 
 47 
 
 i3 
 
 7739 
 
 7781 
 
 7823 
 
 7866 
 
 7908 
 
 7950 
 
 46 
 
 i3 
 
 2948 
 
 2990 
 
 3o32 
 
 3074 
 
 3ii6 
 
 3i59 
 
 46 
 
 i4 
 
 7993 
 
 8o35 
 
 8077 
 
 8120 
 
 8162 
 
 8204 
 
 45 
 
 i4 
 
 3201 
 
 3243 
 
 3285 
 
 3327 
 
 3370 
 
 3412 
 
 45 
 
 i5 
 
 8247 
 
 8289 
 
 833i 
 
 8373 
 
 84i6 
 
 8458 
 
 44 
 
 i5 
 
 3454 
 
 3496 
 
 3538 
 
 358i 
 
 3623 
 
 3665 
 
 44 
 
 i6 
 
 85oo 
 
 8543 
 
 8585 
 
 8627 
 
 8670 
 
 8712 
 
 43 
 
 16 
 
 3707 
 
 3749 
 
 3791 
 
 3834 
 
 3876 
 
 3918 
 
 43 
 
 '7 
 
 8754 
 
 8796 
 
 8839 
 
 8881 
 
 8923 
 
 8966 
 
 42 
 
 17 
 
 3960 
 
 4002 
 
 4o45 
 
 4087 
 
 4129 
 
 4171 
 
 42 
 
 i8 
 
 9008 
 
 9o5o 
 
 9093 
 
 9135 
 
 9177 
 
 9219 
 
 4i 
 
 18 
 
 42l3 
 
 4255 
 
 4298 
 
 4340 
 
 4382 
 
 4424 
 
 4i 
 
 19 
 
 9262 
 
 93o4 
 
 9346 
 
 9389 
 
 9431 
 
 9473 
 
 4o 
 
 19 
 
 4466 
 
 4509 
 
 455i 
 
 4593 
 
 4635 
 
 4677 
 
 4o 
 
 20 
 
 9.959516 
 
 9558 
 
 9600 
 
 9642 
 
 9685 
 
 9727 
 
 39 
 
 20 
 
 9.974720 
 
 4762 
 
 48o4 
 
 4846 
 
 4888 
 
 4930 
 
 39 
 
 21 
 
 9769 
 
 9812 
 
 9854 
 
 9896 
 
 9938 
 
 9981 
 
 38 
 
 21 
 
 4973 
 
 5oi5 
 
 5o57 
 
 5099 
 
 5i4i 
 
 5i83 
 
 38 
 
 22 
 
 9.960023 
 
 oo65 
 
 0108 
 
 oi5o 
 
 0192 
 
 0234 
 
 37 
 
 22 
 
 5226 
 
 5268 
 
 53io 
 
 5352 
 
 5394 
 
 5437 
 
 37 
 
 23 
 
 .0277 
 
 o3i9 
 
 o36i 
 
 o4o4 
 
 o446 
 
 o488 
 
 36 
 
 23 
 
 5479 
 
 5521 
 
 5563 
 
 56o5 
 
 5647 
 
 5690 
 
 36 
 
 24 
 
 o53o 
 
 0573 
 
 06 1 5 
 
 0657 
 
 0700 
 
 0742 
 
 35 { 
 
 24 
 
 5732 
 
 5774 
 
 58i6 
 
 5858 
 
 5901 
 
 5943 
 
 35 
 
 25 
 
 0784 
 
 0826 
 
 0869 
 
 091 1 
 
 0953 
 
 0996 
 
 341 
 
 "5 
 
 5985 
 
 6027 
 
 6069 
 
 61 II 
 
 6i54 
 
 6196 
 
 34 
 
 26 
 
 io38 
 
 1080 
 
 1122 
 
 ii65 
 
 1207 
 
 1249 
 
 33 
 
 26 
 
 6238 
 
 6280 
 
 6322 
 
 6364 
 
 6407 
 
 6449 
 
 33 
 
 27 
 
 1292 
 
 i334 
 
 1376 
 
 i4i8 
 
 i46i 
 
 i5o3 
 
 32 
 
 27 
 
 6491 
 
 6533 
 
 6575 
 
 6617 
 
 6660 
 
 6702 
 
 32 
 
 28 
 
 i545 
 
 i587 
 
 i63o 
 
 1672 
 
 I7I4 
 
 1757 
 
 3i 
 
 28 
 
 6744 
 
 6786 
 
 6828 
 
 6870 
 
 6913 
 
 6955 
 
 3i 
 
 29 
 
 1799 
 
 1 84 1 
 
 i883 
 
 1926 
 
 1968 
 
 2010 
 
 3o 
 
 29 
 
 6997 
 
 7039 
 
 7081 
 
 7123 
 
 7166 
 
 7208 
 
 3o 
 
 3o 
 
 9.962052 
 
 2095 
 
 2t37 
 
 2179 
 
 2222 
 
 2264 
 
 29 
 
 3o 
 
 9.977250 
 
 7292 
 
 7334 
 
 7377 
 
 7419 
 
 7461 
 
 29 
 
 3i 
 
 23o6 
 
 2348 
 
 2391 
 
 2433 
 
 2475 
 
 25i7 
 
 28 
 
 3i 
 
 75o3 
 
 7545 
 
 7587 
 
 7630 
 
 7672 
 
 7714 
 
 28 
 
 32 
 
 256o 
 
 2602 
 
 2644 
 
 2686 
 
 2729 
 
 2771 
 
 27 
 
 32 
 
 7756 
 
 7798 
 
 7840 
 
 7882 
 
 7925 
 
 7967 
 
 27 
 
 33 
 
 2813 
 
 2856 
 
 2898 
 
 2940 
 
 2982 
 
 3o25 
 
 26 
 
 33 
 
 8009 
 
 8o5i 
 
 8093 
 
 8i35 
 
 8178 
 
 8220 
 
 26 
 
 34 
 
 3067 
 
 3109 
 
 3i5i 
 
 3194 
 
 3236 
 
 3278 
 
 25 
 
 34 
 
 8262 
 
 83o4 
 
 8346 
 
 8388 
 
 843i 
 
 8473 
 
 25 
 
 35 
 
 3320 
 
 3363 
 
 34o5 
 
 3447 
 
 3489 
 
 3532 
 
 24 
 
 35 
 
 85i5 
 
 8557 
 
 8599 
 
 864i 
 
 8684 
 
 8726 
 
 24 
 
 36 
 
 3574 
 
 36i6 
 
 3659 
 
 3701 
 
 3743 
 
 3785 
 
 23 
 
 36 
 
 8768 
 
 8810 
 
 8852 
 
 8894 
 
 8937 
 
 8979 
 
 23 
 
 37 
 
 3828 
 
 3870 
 
 3912 
 
 3954 
 
 3997 
 
 4o39 
 
 22 
 
 37 
 
 9021 
 
 9063 
 
 9105 
 
 9147 
 
 9190 
 
 9232 
 
 22 
 
 38 
 
 4o8i 
 
 4l23 
 
 4i66 
 
 4208 
 
 425o 
 
 4292 
 
 21 
 
 38 
 
 9274 
 
 9316 
 
 9358 
 
 9400 
 
 9442 
 
 9485 
 
 21 
 
 39 
 
 4335 
 
 4377 
 
 4419 
 
 4461 
 
 45o4 
 
 4546 
 
 20 
 
 39 
 
 9527 
 
 9569 
 
 961 1 
 
 9653 
 
 9695 
 
 9738 
 
 20 
 
 4o 
 
 9.964588 
 
 463o 
 
 4673 
 
 4715 
 
 4757 
 
 4799 
 
 19 
 
 4o 
 
 9.979780 
 
 9822 
 
 9864 
 
 9906 
 
 99-48 
 
 9990 
 
 19 
 
 4i 
 
 4842 
 
 4884 
 
 4926 
 
 4968 
 
 5oi 1 
 
 5o53 
 
 18 
 
 4i 
 
 9.980033 
 
 0075 
 
 0117 
 
 0159 
 
 0201 
 
 0243 
 
 18 
 
 42 
 
 5095 
 
 5i37 
 
 5i8o 
 
 5222 
 
 5264 
 
 53o6 
 
 17 
 
 42 
 
 0286 
 
 0328 
 
 0370 
 
 04l2 
 
 0454 
 
 0496 
 
 17 
 
 43 
 
 5349 
 
 5391 
 
 5433 
 
 5475 
 
 55i8 
 
 556o 
 
 16 
 
 43 
 
 o538 
 
 o58i 
 
 0623 
 
 o665 
 
 0707 
 
 0749 
 
 16 
 
 44 
 
 56o2 
 
 5644 
 
 5687 
 
 5729 
 
 5771 
 
 58i3 
 
 i5 
 
 44 
 
 0791 
 
 0834 
 
 0876 
 
 0918 
 
 0960 
 
 1002 
 
 i5 
 
 45 
 
 5855 
 
 5898 
 
 5940 
 
 5982 
 
 6024 
 
 6067 
 
 i4 
 
 45 
 
 io44 
 
 1086 
 
 1129 
 
 1 171 
 
 I2l3 
 
 1255 
 
 i4 
 
 46 
 
 G109 
 
 6i5i 
 
 6193 
 
 6236 
 
 6278 
 
 6320 
 
 i3 
 
 46 
 
 1297 
 
 1339 
 
 i382 
 
 1424 
 
 i466 
 
 i5o8 
 
 i3 
 
 47 
 
 6362 
 
 64o5 
 
 6447 
 
 6489 
 
 653i 
 
 6574 
 
 12 
 
 47 
 
 i55o 
 
 1592 
 
 1 634 
 
 1677 
 
 1719 
 
 1761 
 
 12 
 
 48 
 
 6616 
 
 6658 
 
 6700 
 
 6742 
 
 6785 
 
 6827 
 
 II 
 
 48 
 
 i8o3 
 
 1845 
 
 1887 
 
 1929 
 
 1972 
 
 20l4 
 
 II 
 
 49 
 
 6869 
 
 691 1 
 
 6954 
 
 6996 
 
 7o38 
 
 7080 
 
 10 
 
 49 
 
 2o56 
 
 2098 
 
 2l4o 
 
 2182 
 
 2224 
 
 2267 
 
 10 
 
 5o 
 
 9.967123 
 
 7i65 
 
 7207 
 
 7249 
 
 7291 
 
 7334 
 
 9 
 
 5o 
 
 9.982309 
 
 235i 
 
 2393 
 
 2435 
 
 2477 
 
 2519 
 
 9 
 
 5i 
 
 7376 
 
 74r8 
 
 7460 
 
 75o3 
 
 7545 
 
 7587 
 
 8 
 
 5i 
 
 2562 
 
 2604 
 
 2646 
 
 2688 
 
 2730 
 
 2772 
 
 8 
 
 52 
 
 7629 
 
 7672 
 
 7714 
 
 7756 
 
 7798 
 
 7840 
 
 7 
 
 52 
 
 2814 
 
 28572899I 
 
 2941 
 
 2983 
 
 3o25 
 
 7 
 
 53 
 
 7883 
 
 7925 
 
 796^ 
 
 8009 
 
 8o52 
 
 8094 
 
 6 
 
 53 
 
 3067 
 
 3109 
 
 3i52 
 
 3194 
 
 3236 
 
 3278 
 
 6 
 
 54 
 
 8i36 
 
 8178 
 
 S220 
 
 8263 
 
 83o5 
 
 8347 
 
 5 
 
 54 
 
 3320 
 
 3362 
 
 34o4 
 
 3447 
 
 3489 
 
 353i 
 
 5 
 
 55 
 
 8389 
 
 8432 
 
 8474 
 
 85i6 
 
 8558 
 
 8600 
 
 4 
 
 55 
 
 3573 
 
 36i5 
 
 3657 
 
 3699 
 
 3742 
 
 3784 
 
 4 
 
 56 
 
 8643 
 
 8685 
 
 8727 
 
 8769 
 
 8812 
 
 8854 
 
 3 
 
 56 
 
 3826 
 
 3868 
 
 3910 
 
 3952 
 
 3994 
 
 4o37 
 
 3 
 
 57 
 
 8896 
 
 8938 
 
 8980 
 
 9023 
 
 9065 
 
 9107 
 
 2 
 
 57 
 
 4079 
 
 4l2I 
 
 4i63 
 
 42o5 
 
 4247 
 
 4289 
 
 2 
 
 58 
 
 9149 
 
 9192 
 
 9234 
 
 9276 
 
 9318 
 
 9360 
 
 I 
 
 58 
 
 4332 
 
 4374 
 
 44i6 
 
 4458 
 
 45oo 
 
 4542 
 
 I 
 
 59 
 
 94o3 
 
 q445 
 
 9487 
 
 9529 
 
 9571 
 
 9614 
 
 
 
 59 
 
 4584 
 
 4627 
 
 4669 
 
 4711 
 
 4753 
 
 4795 
 
 
 
 
 60" 1 50" 1 10- 1 30" ' 20" 
 
 10" 
 
 a 
 
 i 
 
 
 60" 
 
 50" 
 
 40" 
 
 30' 
 
 20" 
 
 10' 
 
 ?5 
 
 Co-tan£jent of 47 Decrees. 
 
 Co-tangent of 46 Degrees. 
 
 P. 
 
 p„ . j 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 "^^"^ 1 4 8 13 17 21 25 30 34 38 
 
 p p J 1" 2" 3 ' 4" 5" 6" 7" 8" 9" 
 ^•^^"^H 8 13 17 21 25 30 34 38 
 
68 
 
 LOGAKITHMIC SiNES. 
 
 a 
 
 Sine of 44 Degrees. 
 
 
 
 Sine of 45 Degrees. 
 
 59 
 
 0" 
 
 10" 
 
 20" 
 
 i8i5 
 
 30" 
 
 40" 
 
 50" 
 
 
 0" 
 
 10" 
 
 20" 30" 
 
 40" 1 
 
 50" 
 
 
 
 9.841771 
 
 1793 
 
 1837 
 
 i858 
 
 1880 
 
 59 
 
 
 
 9.849485 
 
 9506 
 
 9527 9548 9569 
 
 9590 
 
 I 
 
 7 ^11 
 
 1Q02 
 
 1924 
 
 1946 
 
 1967 
 
 1989 
 
 201 I 
 
 58 
 
 I 
 
 961 1 
 
 9632 
 
 9653 
 
 9674 
 
 969b 
 
 9716 
 
 58 
 
 2 
 
 2o33 
 
 2o55 
 
 2076 2og8| 
 
 2120 
 
 2142 
 
 57 
 
 2 
 
 9738 
 
 9759 
 
 9780 
 
 9801 
 
 9822 
 
 9843 
 
 57 
 
 3 
 
 2i63 
 
 2i85 
 
 2207 
 
 2229 
 
 225o 
 
 2272 
 
 56 
 
 3 
 
 9864 
 
 9885 
 
 9906 
 
 9927 
 
 9948 
 
 9969 
 
 56 
 
 4 
 
 2294 
 
 23i6 
 
 2337 
 
 2359 
 
 238i 
 
 24o3 
 
 55 
 
 4 
 
 9990 
 
 ..II 
 
 ..32 
 
 ..53 
 
 ..74 
 
 ..95 
 
 55 
 
 5 
 
 2424 
 
 2446 
 
 2468 
 
 2490 
 
 25ll 
 
 2533 
 
 54 
 
 5 
 
 9.85oii6 
 
 0137 
 
 oi58 
 
 0179 
 
 0200 
 
 0221 
 
 54 
 
 6 
 
 2555 
 
 2577 
 
 2598 
 
 2620 
 
 2642 
 
 2663 
 
 53 
 
 6 
 
 0242 
 
 0263 
 
 0284 
 
 o3o5 
 
 d326 
 
 0347 
 
 53 
 
 7 
 
 2685 
 
 2707 
 
 2729 
 
 2750 
 
 2772 
 
 2794 
 
 52 
 
 7 
 
 o368 
 
 o388 
 
 0409 
 
 o43o 
 
 045 1 
 
 0472 
 
 52 
 
 8 
 
 2815 
 
 2837 
 
 2859 
 
 2880 
 
 2902 
 
 2924 
 
 5i 
 
 8 
 
 0493 
 
 o5i4 
 
 o535 
 
 o556 
 
 0577 
 
 0598 
 
 5i 
 
 Q 
 
 2946 
 
 2967 
 
 2989 
 
 3oii 
 
 3o32 
 
 3o54 
 
 5o 
 
 9 
 
 0619 
 
 0640 
 
 0661 
 
 0682 
 
 0703 
 
 0724 
 
 5o 
 
 7 
 
 10 
 
 9.843076 
 
 3097 
 
 3119 
 
 3i4i 
 
 3162 
 
 3i84 
 
 49 
 
 10 
 
 9.850745 
 
 0766 
 
 0787 
 
 0807 
 
 0828 
 
 0849 
 
 49 
 
 1 1 
 
 3206 
 
 3227 
 
 3249 
 
 3271 
 
 3292 
 
 33i4 
 
 48 
 
 II 
 
 0870 
 
 0891 
 
 0912 
 
 0933 
 
 0954 
 
 0975 
 
 48 
 
 12 
 
 3336 
 
 3357 
 
 3379 
 
 3401 
 
 3422 
 
 3444 
 
 47 
 
 12 
 
 0996 
 
 1017 
 
 io38 
 
 io58 
 
 1079!! lOOl 
 
 47 
 
 i3 
 
 3466 
 
 3487 
 
 35o9!353o 
 
 3552 
 
 3574 
 
 46 
 
 i3 
 
 1 121 
 
 I l42 
 
 ii63 
 
 ii84 
 
 I205 
 
 1226 
 
 46 
 
 i4 
 
 3595 
 
 3617 
 
 36393660 
 
 3682 
 
 3703 
 
 45 
 
 i4 
 
 1246 
 
 1267 
 
 1288 
 
 1 309 
 
 i33o 
 
 i35i 
 
 45 
 
 i5 
 
 3725 
 
 3747 
 
 3768 3790 
 
 38ii 
 
 3833 
 
 44 
 
 i5 
 
 1372 
 
 1393 
 
 i4i3 
 
 1434 
 
 1455 
 
 1476 
 
 44 
 
 i6 
 
 3855 
 
 3876 
 
 3898 
 
 3919 
 
 3941 
 
 3963 
 
 43 
 
 16 
 
 1497 
 
 i5i8 
 
 1539 
 
 i559 
 
 i58o 
 
 1601 
 
 43 
 
 I? 
 
 3984 
 
 4oo6 
 
 4027 
 
 4o49 
 
 4071 
 
 4092 
 
 42 
 
 17 
 
 1622 
 
 1643 
 
 1664 
 
 i685 
 
 1705 
 
 1726 
 
 42 
 
 iS 
 
 4ii4 
 
 4i35 
 
 4i57 
 
 4178 
 
 4200 
 
 4222 
 
 4i 
 
 18 
 
 1747 
 
 1768 
 
 1789 
 
 1810 
 
 i83o 
 
 i85i 
 
 4i 
 
 '9 
 
 4243 
 
 4265 
 
 4286 
 
 43o8 
 
 4329 
 
 435i 
 
 4o 
 
 19 
 
 1872 
 
 1893 
 
 1914 
 
 1935 
 
 1955 
 
 1976 
 
 4o 
 
 20 
 
 9.844372 
 
 4394 
 
 44i6 
 
 4437 
 
 4459 
 
 4480 
 
 39 
 
 20 
 
 9.851997 
 
 2018 
 
 2039 
 
 2059 
 
 2080 
 
 2101 
 
 39 
 
 21 
 
 45o2 
 
 4523 
 
 4545 
 
 4566 
 
 4588 
 
 4609 
 
 38 
 
 21 
 
 2122 
 
 2143 
 
 2i63 
 
 2184 
 
 2205 
 
 2226 
 
 38 
 
 22 
 
 463i 
 
 4652 
 
 4674 
 
 4696 
 
 4717 
 
 4739 
 
 37 
 
 22 
 
 2247 
 
 2267 
 
 2288 
 
 2309 
 
 233o 
 
 235o 
 
 37 
 
 23 
 
 4760 
 
 4782 
 
 48o3 
 
 4825 
 
 4846 
 
 4868 
 
 36 
 
 23 
 
 2371 
 
 2392 
 
 24l3 
 
 2434 
 
 2454 
 
 2475 
 
 36 
 
 24 
 
 4889 
 
 4911 
 
 4932 
 
 4954 
 
 4975 
 
 4997 
 
 35 
 
 24 
 
 2496 
 
 25i7 
 
 2537 
 
 2558 
 
 2579 
 
 2600 
 
 35 
 
 25 
 
 5oi8 
 
 5o4o 
 
 5o6i 
 
 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 
 
 5340 
 
 5362 
 
 5383 
 
 32 
 
 27 
 
 2869 
 
 2890 
 
 291 1 
 
 2931 
 
 2952 
 
 2973 
 
 32 
 
 28 
 
 54o5 
 
 5426 
 
 5447 
 
 5469 
 
 5490 
 
 55i2 
 
 3i 
 
 28 
 
 2994 
 
 3oi4 
 
 3o35 
 
 3o56 
 
 3076 
 
 3097 
 
 3i 
 
 29 
 
 5533 
 
 5555 
 
 5576 
 
 5598 
 
 5619 
 
 564o 
 
 3o 
 
 29 
 
 3ii8 
 
 3i39 
 
 3i59 
 
 3i8o 
 
 3201 
 
 3221 
 
 3o 
 
 3o 
 
 9.845662 
 
 5683 
 
 5705 5726 
 
 5747 
 
 5769 
 
 29 
 
 3o 
 
 9. 853242 
 
 3263 
 
 3283 
 
 33o4 
 
 3325 
 
 3345 
 
 29 
 
 3i 
 
 5790 
 
 58i2 
 
 58335855 
 
 5876 
 
 5897 
 
 28 
 
 3i 
 
 3366 
 
 3387 
 
 3408 
 
 3428 
 
 3449 
 
 3470 
 
 28 
 
 32 
 
 5919 
 
 5940 
 
 59625983 
 
 6oo4 
 
 6026 
 
 27 
 
 32 
 
 3490 
 
 35ii 
 
 3532 
 
 3552 
 
 3573 
 
 3594 
 
 27 
 
 33 
 
 6047 
 
 6069 
 
 6090 
 
 61 1 1 
 
 6i33 
 
 6i54 
 
 26 
 
 33 
 
 36i4 
 
 3635 
 
 3655 
 
 3676 
 
 3697 
 
 3717 
 
 26 
 
 34 
 
 6175 
 
 6197 
 
 6218 
 
 6240 
 
 6261 
 
 6282 
 
 25 
 
 34 
 
 3738 
 
 3759 
 
 3779 
 
 38oo 
 
 3821 
 
 384i 
 
 25 
 
 35 
 
 63o4 
 
 6325 
 
 6346 
 
 6368 
 
 6389 
 
 64io 
 
 24 
 
 35 
 
 3862 
 
 3883 
 
 3903 
 
 3924 
 
 3944 
 
 3965 
 
 24 
 
 36 
 
 6432 
 
 6453 
 
 6474 
 
 6496 
 
 65i7 
 
 6539 
 
 23 
 
 36 
 
 3986 
 
 4oo6 
 
 4027 
 
 4o47 
 
 4o6S 
 
 4089 
 
 23 
 
 37 
 
 656o 
 
 658i 
 
 66o3 
 
 6624 
 
 6645 
 
 6667 
 
 22 
 
 37 
 
 4109 
 
 4i3o 
 
 4i5i 
 
 4171 
 
 4192 
 
 4212 
 
 22 
 
 38 
 
 6688 
 
 6709 
 
 6731 
 
 6752 
 
 6773 
 
 6794 
 
 21 
 
 38 
 
 4233 
 
 4254 
 
 4274 
 
 4295 
 
 43i5 
 
 4336 
 
 21 
 
 39 
 
 6816 
 
 6837 
 
 6858 
 
 6880 
 
 6901 
 
 6922 
 
 20 
 
 39 
 
 4356 
 
 4377 
 
 4398 
 
 44i8 
 
 4439 
 
 4459 
 
 2 
 
 4o 
 
 9.846944 
 
 6965 
 
 6986 
 
 7008 
 
 7029 
 
 7o5o 
 
 19 
 
 4o 
 
 9.854480 
 
 45oo 
 
 4521 
 
 4542 
 
 4562 
 
 4583 
 
 19 
 
 4i 
 
 7071 
 
 7093 
 
 7114 
 
 7i35 
 
 7157 
 
 7178 
 
 i8 
 
 4i 
 
 46o3 
 
 4624 
 
 4644 
 
 4665 
 
 4686 
 
 4706 
 
 18 
 
 42 
 
 7199 
 
 7220 
 
 7242 
 
 7263 
 
 7284 
 
 73o5 
 
 17 
 
 42 
 
 4727 
 
 4747 
 
 4768 
 
 4788 
 
 4809 
 
 4829 
 
 17 
 
 43 
 
 7327 
 
 7348 
 
 7369 
 
 7391 
 
 7412 
 
 7433 
 
 16 
 
 43 
 
 485o 
 
 4870 
 
 489] 
 
 49 1 1 
 
 4932 
 
 4953 
 
 16 
 
 44 
 
 7454 
 
 7476 
 
 7497 
 
 7518 
 
 7539 
 
 7561 
 
 i5 
 
 44 
 
 4973 
 
 4994 
 
 5oi4 
 
 5o35 
 
 5o55 
 
 5076 
 
 i5 
 
 45 
 
 7582 
 
 7603 
 
 7624 
 
 7645 
 
 7667 
 
 7688 
 
 i4 
 
 45 
 
 5096 
 
 5i 17 
 
 5i37 
 
 5i58 
 
 5178 
 
 5199 
 
 i4 
 
 46 
 
 7709 
 
 7730 
 
 7752 
 
 7773 
 
 7794 
 
 7815 
 
 i3 
 
 46 
 
 5219 
 
 524o 
 
 5260 
 
 5281 
 
 53oi 
 
 5322 
 
 i3 
 
 47 
 
 7836 
 
 7858 
 
 7879 
 
 7900 
 
 7921 
 
 7943 
 
 12 
 
 47 
 
 5342 
 
 5363 
 
 5383 
 
 54o4 
 
 5424 
 
 5445 
 
 12 
 
 48 
 
 7964 
 
 7985 
 
 8006 
 
 8027 
 
 8049 
 
 8070 
 
 II 
 
 48 
 
 5465 
 
 5485 
 
 55o6 
 
 5526 
 
 5547 
 
 5567 
 
 1 1 
 
 49 
 
 8091 
 
 8112 
 
 8i33 
 
 8i54 
 
 8176 
 
 8197 
 
 ID 
 
 49 
 
 5588 
 
 56o8 
 
 5629 
 
 5649 
 
 5670 
 
 5690 
 
 10 
 
 5o 
 
 9.848218 
 
 8239 
 
 8260 
 
 8282 
 
 83o3 
 
 8324 
 
 9 
 
 5o 
 
 9.855711 
 
 5731 
 
 5751 
 
 5772 
 
 5792 
 
 58i3 
 
 9 
 
 5i 
 
 8345 
 
 8366 
 
 8387 
 
 8409 
 
 843o 
 
 845i 
 
 8 
 
 5i 
 
 5833 
 
 5854 
 
 5874 
 
 5895 
 
 5915 
 
 5935 
 
 8 
 
 52 
 
 8472 
 
 8493 
 
 851418535 
 
 8557 
 
 8578 
 
 7 
 
 52 
 
 5956 
 
 5976 
 
 5997 
 
 6017 
 
 6o38 
 
 6o58 
 
 7 
 
 53 
 
 8599 
 
 8620 
 
 864i 8662 
 
 8683 
 
 8705 
 
 6 
 
 53 
 
 6078 
 
 6099 
 
 61 19 
 
 6 1 40 
 
 6160 
 
 6180 
 
 6 
 
 54 
 
 8726 
 
 8747 
 
 87688789 
 
 8810 
 
 883i 
 
 5 
 
 54 
 
 6201 
 
 6221 
 
 6242 
 
 6262 
 
 6282 
 
 63o3 
 
 5 
 
 55 
 
 8852 
 
 8874 
 
 8895 8916 
 
 8937 
 
 8958 
 
 4 
 
 55 
 
 6323 
 
 6344 
 
 6364 
 
 6384 
 
 64o5 
 
 6425 
 
 4 
 
 56 
 
 8979 
 
 9000 
 
 9021 9042 
 
 9063 
 
 9085 
 
 3 
 
 56 
 
 6446 
 
 6466 
 
 6486 
 
 65o7 
 
 6527 
 
 6547 
 
 3 
 
 57 
 
 9106 
 
 9127 
 
 9148 9169 
 
 9190 
 
 921 1 
 
 2 
 
 57 
 
 6568 
 
 6588 
 
 6609 
 
 6629 
 
 6649 
 
 6670 
 
 2 
 
 58 
 
 9232 
 
 9253 
 
 9274 
 
 9295 
 
 93i6 
 
 9338 
 
 I 
 
 58 
 
 6690 
 
 6710 
 
 6731 
 
 6751 
 
 6771 
 
 6792 
 
 1 
 
 5^ 
 
 9359 
 
 9380 
 
 9401 
 
 9422 
 
 9443 
 
 9464 
 
 
 
 59 
 
 6812 6832 
 
 6853 
 
 6873 
 
 6893 
 
 6914 
 
 
 
 
 60" 1 50" 
 
 1 40" 
 
 30" 
 
 20" 
 
 10" 
 
 - d 
 
 
 60" 50" 
 
 40" 
 
 30" 
 
 20" 1 10" 
 
 d 
 
 Co-sine of 45 Degrees. 
 
 Co-sine of 44 Degrees. 
 
 PP.rJl" 2" 3" 4" 5" 6" 7" 8" 9" 
 ^•t-art^g 4 6 9 11 13 15 17 19 
 
 „p,Jl" 2" 3" 4" 5" 6" 7" 8" 9" 
 P. Part -j 2 4 6 8 10 12 1' 17 19 
 
Logarithmic Tangents. 
 
 69 
 
 .a 
 
 Tangent of 44 Degrees. 
 
 
 
 Tangent of 45 Degrees. 
 
 59 
 
 0" 
 
 10" 
 
 20" 
 
 30" 1 40" 1 50" 
 
 0" 
 
 10" 
 
 20" 1 30" 
 
 40" 
 
 50" 
 
 o 
 
 9.984837 
 
 4879 
 
 4921 
 
 4964 
 
 5oo6 5o48 
 
 59 
 
 
 
 10.000000 
 
 0042 
 
 0084 0126 
 
 0168 
 
 02 I I 
 
 I 
 
 5090 
 
 5i32 
 
 5174 
 
 5216 
 
 5259*5301 
 
 58 
 
 I 
 
 0253 
 
 0295 
 
 0337 
 
 0379 
 
 0421 
 
 o463 
 
 58 
 
 2 
 
 5343 
 
 5385 
 
 5427 
 
 5469 
 
 55ii 5553:57 
 
 2 
 
 o5o5 
 
 o547 
 
 0590 
 
 o632 
 
 0674 
 
 0716 
 
 57 
 
 3 
 
 5596 
 
 5638 
 
 568o 
 
 5722 
 
 5764580656 
 
 3 
 
 0758 
 
 0800 
 
 0842 
 
 0884 
 
 0926 
 
 0969 
 
 56 
 
 4 
 
 5848 
 
 5891 
 
 5933 
 
 5975 
 
 6017.6059155 
 
 4 
 
 101 1 
 
 io53 
 
 1095 
 
 1137 
 
 I I 79 
 
 1221 
 
 55 
 
 5 
 
 6101 
 
 6143 
 
 6i85 
 
 6228 6270 63i2 
 
 54 
 
 5 
 
 1263 
 
 i3o5 
 
 I 348 
 
 1390 
 
 l432 
 
 1474 
 
 54 
 
 6 
 
 6354 
 
 6396 
 
 6438 
 
 648o 6523 6565 
 
 53 
 
 6 
 
 i5i6 
 
 i558 
 
 1600 
 
 1642 
 
 1684 
 
 1727 
 
 53 
 
 7 
 
 6607 
 
 6649 
 
 6691 
 
 6733 
 
 6775 6817 
 
 52 
 
 7 
 
 1769 
 
 1811 
 
 i853 
 
 1895 
 
 1937 
 
 1979 
 
 52 
 
 8 
 
 6860 
 
 6go2 
 
 6944 
 
 6986 
 
 7028,7070 5i 
 
 8 
 
 2021 
 
 2o63 
 
 2106 
 
 2i48 
 
 2190 
 
 2232 
 
 5i 
 
 9 
 
 71 ri2 
 
 7i54 
 
 7197 
 
 7239 
 
 728i'7323 5o 
 
 9 
 
 2274 
 
 23i6 
 
 2358 
 
 2400 
 
 2442 
 
 2485 
 
 5o 
 
 lO 
 
 9.987365 
 
 7407 
 
 7449 
 
 7491 
 
 7534:7576 
 
 49 
 
 10 
 
 10.002527 
 
 2569 
 
 261 1 
 
 2653 
 
 2695 
 
 2737 
 
 49 
 
 1 1 
 
 7618 
 
 7660 
 
 7702 
 
 7744 7786 7829 
 
 48 
 
 '11 
 
 2779 
 
 2821 
 
 2864 
 
 2906 
 
 2948 
 
 2990 
 
 48 
 
 12 
 
 7871 
 
 7913 
 
 7955 
 
 7997 8039 8081 
 
 47 
 
 12 
 
 3o32 
 
 3074 
 
 3ii6 
 
 3i58 
 
 3200 
 
 3243 
 
 47 
 
 i3 
 
 8123 
 
 8166 
 
 8208 
 
 825o8292'8334 
 
 46 
 
 i3 
 
 3285 
 
 3327 
 
 3369 
 
 34ii 
 
 3453 
 
 3495 
 
 46 
 
 i4 
 
 8376 
 
 84 1 8 
 
 846o 
 
 85o3 
 
 8545.8587 
 
 45 
 
 i4 
 
 3537 
 
 3579 
 
 3622 
 
 3664 
 
 3706 
 
 3748 
 
 45 
 
 i5 
 
 8629 
 
 8671 
 
 8713 
 
 8755 
 
 8797J8840 
 
 44 
 
 i5 
 
 3790 
 
 3832 
 
 3874 
 
 3916 
 
 3958 
 
 4ooi 
 
 44 
 
 i6 
 
 8882 
 
 8924 
 
 8966 
 
 9008 
 
 9o5o 
 
 9092 
 
 43 
 
 16 
 
 4o43 
 
 4o85 
 
 4127 
 
 4169 
 
 42II 
 
 4253 
 
 43 
 
 I? 
 
 9134 
 
 9177 
 
 9219 
 
 9261 
 
 93o3 
 
 9345 
 
 43 
 
 17 
 
 4295 
 
 4337 
 
 438o 
 
 4422 
 
 4464 
 
 45o6 
 
 42 
 
 i8 
 
 9387 
 
 9429 
 
 9471 
 
 95i3 
 
 955619598 
 
 4i 
 
 18 
 
 4548 
 
 4590 
 
 4632 
 
 4674 
 
 4716 
 
 4759 
 
 4i 
 
 •9 
 
 9640 
 
 9682 
 
 9724 
 
 9766 
 
 98089850 
 
 4o 
 
 19 
 
 48oi 
 
 4843 
 
 4885 
 
 4927 
 
 4969 
 
 5oii 
 
 4o 
 
 20 
 
 9.989893 
 
 9935 
 
 9977 
 
 ..19 
 
 ..61 
 
 .io3 
 
 39 
 
 20 
 
 io.oo5o53 
 
 5095 
 
 5i38 
 
 5i8o 
 
 5222 
 
 5264 
 
 39 
 
 21 
 
 9.990145 
 
 0187 
 
 023o 
 
 0272 
 
 o3i4 
 
 o356 
 
 38 
 
 21 
 
 53o6 
 
 5348 
 
 5390 
 
 5432 
 
 5474 
 
 5517 
 
 38 
 
 22 
 
 0398 
 
 o44o 
 
 0482 
 
 o524 
 
 o567 
 
 0609 
 
 37 
 
 22 
 
 5559 
 
 56oi 
 
 5643 
 
 5685 
 
 5727 
 
 5769 
 
 37 
 
 23 
 
 o65i 
 
 0693 
 
 0735 
 
 0777 
 
 0819 
 
 0861 
 
 36 
 
 23 
 
 58ii 
 
 5854 
 
 5896 
 
 5938 
 
 5980 
 
 6022 
 
 36 
 
 24 
 
 0903 
 
 0946 
 
 0988 
 
 io3o 
 
 1072 
 
 iii4 
 
 35 
 
 24 
 
 6064 
 
 6106 
 
 6i48 
 
 6190 
 
 6233 
 
 6275 
 
 35 
 
 25 
 
 ii56 
 
 1198 
 
 1240 
 
 1283 
 
 i325 
 
 i367 
 
 34 
 
 25 
 
 63i7 
 
 6359 
 
 64oi 
 
 6443 
 
 6485 
 
 6527 
 
 34 
 
 26 
 
 1409 
 
 i45i 
 
 1493 
 
 i535 
 
 1577 
 
 1620 
 
 33 
 
 26 
 
 6569 
 
 6612 
 
 6654 
 
 6696 
 
 6738 
 
 6780 
 
 33 
 
 27 
 
 1662 
 
 1704 
 
 1746 
 
 1788 
 
 i83o 
 
 1872 
 
 32 
 
 27 
 
 6822 
 
 6864 
 
 6906 
 
 6949 
 
 6991 
 
 7033 
 
 32 
 
 28 
 
 1914 
 
 1956 
 
 1999 
 
 204l 
 
 2o83 
 
 2125 
 
 3i 
 
 28 
 
 7075 
 
 7117 
 
 7159 
 
 7201 
 
 7243 
 
 7285 
 
 3i 
 
 29 
 
 2167 
 
 2209 
 
 225l 
 
 2293 
 
 2336 
 
 2378 
 
 3o 
 
 29 
 
 7328 
 
 7370 
 
 74 1 2 
 
 7454 
 
 7496 
 
 7538 
 
 3o 
 
 3o 
 
 9.992420 
 
 2462 
 
 25o4 
 
 2546 
 
 2588 
 
 263o 
 
 29 
 
 3o 
 
 lo.ooySSo 
 
 7622 
 
 7664 
 
 7707 
 
 7749 
 
 7791 
 
 29 
 
 3i 
 
 2672 
 
 2715 
 
 2757 
 
 2799 
 
 2841 
 
 2883 
 
 28 
 
 3i 
 
 7833 
 
 7875 
 
 7917 
 
 7959 
 
 8ooi 
 
 8044 
 
 28 
 
 32 
 
 2925 
 
 2967 
 
 3009 
 
 3o5i 
 
 3094 
 
 3i36 
 
 27 
 
 32 
 
 8086 
 
 8128 
 
 8170 
 
 8212 
 
 8254 
 
 8296 
 
 27 
 
 33 
 
 3178 
 
 3220 
 
 3262 
 
 33o4 
 
 3346 
 
 3388 
 
 26 
 
 33 
 
 8338 
 
 838o 
 
 8423 
 
 8465 
 
 85o7 
 
 8549 
 
 26 
 
 34 
 
 343i 
 
 3473 
 
 35i5 
 
 3557 
 
 3599 
 
 364 1 
 
 25 
 
 34 
 
 8591 
 
 8633 
 
 8675 
 
 8717 
 
 8760 
 
 8802 
 
 25 
 
 35 
 
 3683 
 
 3725 
 
 3767 
 
 38 10 
 
 3852 
 
 3894 
 
 24 
 
 35 
 
 8844 
 
 8886 
 
 8928 
 
 8970 
 
 9012 
 
 9054 
 
 24 
 
 36 
 
 3936 
 
 3978 
 
 4o20 
 
 4062 
 
 4io4 
 
 4i46 
 
 23 
 
 36 
 
 9097 
 
 9139 
 
 9181 
 
 9223 
 
 9265 
 
 9307 
 
 23 
 
 37 
 
 4189 
 
 423l 
 
 4273 
 
 43i5 
 
 4357 
 
 4399 
 
 22 
 
 37 
 
 9349 
 
 9391 
 
 9433 
 
 9476 
 
 9518 
 
 9560 
 
 22 
 
 38 
 
 444i 
 
 4483 
 
 4526 
 
 4568 
 
 4610 
 
 4652 
 
 21 
 
 38 
 
 9602 
 
 9644 
 
 9686 
 
 9728 
 
 9770 
 
 9813 
 
 21 
 
 39 
 
 4694 
 
 4736 
 
 4778 
 
 4820 
 
 4862 
 
 4905 
 
 20 
 
 39 
 
 9855 
 
 9897 
 
 9939 
 
 9981 
 
 ..23 
 
 ..65 
 
 20 
 
 4o 
 
 9.994947 
 
 4989 
 
 5o3i 
 
 5073 
 
 5ii5 
 
 5i57 
 
 i9| 
 
 40 
 
 10.010107 
 
 oi5o 
 
 0192 
 
 0234 
 
 0276 
 
 o3i8 
 
 19 
 
 4i 
 
 5199 
 
 524i 
 
 5284 
 
 5326 
 
 5368 
 
 5410 
 
 18 
 
 41 
 
 o36o 
 
 0402 
 
 o444 
 
 0487 
 
 o529 
 
 0571 
 
 18 
 
 42 
 
 5452 
 
 5494 
 
 5536 
 
 5578 
 
 5620 5663 
 
 17 
 
 42 
 
 o6i3 
 
 o655 
 
 0697 
 
 0739 
 
 0781 
 
 0823 
 
 17 
 
 43 
 
 5705 
 
 5747 
 
 5789 
 
 583i 
 
 58735915 
 
 16 
 
 43 
 
 0866 
 
 0908 
 
 ogSo 
 
 0992 
 
 io34 
 
 1076 
 
 16 
 
 44 
 
 5957 
 
 5999 
 
 6042 
 
 6o84 
 
 61266168 
 
 i5 
 
 44 
 
 1118 
 
 1160 
 
 I203 
 
 1245 
 
 1287 
 
 1329 
 
 i5 
 
 45 
 
 6210 
 
 6252 
 
 6294 
 
 6336 
 
 63786421 
 
 i4 
 
 45 
 
 1371 
 
 i4i3 
 
 1455 
 
 1497 
 
 i54o 
 
 i582 
 
 i4 
 
 46 
 
 6463 
 
 65o5 
 
 6547 
 
 6589 
 
 663i!6673 
 
 i3 
 
 46 
 
 1624 
 
 1666 
 
 1708 
 
 1750 
 
 1792 
 
 i834 
 
 i3 
 
 47 
 
 6715 
 
 6757 
 
 6800 
 
 6842 
 
 6884 6926 
 
 12 
 
 47 
 
 1877 
 
 1919 
 
 1 96 1 
 
 2003 
 
 2045 
 
 2087 
 
 12 
 
 48 
 
 6968 
 
 7010 
 
 7o52 
 
 7094 
 
 7i36 7179 
 
 1 1 
 
 48 
 
 2129 
 
 2171 
 
 22l4 
 
 2256 
 
 2298 
 
 2340 
 
 II 
 
 49 
 
 7221 
 
 7263 
 
 73o5 
 
 7347 
 
 7389 
 
 743i 
 
 10 
 
 49 
 
 2382 
 
 2424 
 
 2466 
 
 2509 
 
 255i 
 
 2593 
 
 10 
 
 5o 
 
 9.997473 
 
 75i5 
 
 7558 
 
 7600 
 
 7642 
 
 7684 
 
 9! 
 
 5o 
 
 IO.OI2635 
 
 2677 
 
 2719 
 
 2761 
 
 2803 
 
 2846 
 
 9 
 
 5i 
 
 7726 
 
 7768 
 
 7810 
 
 7852 
 
 7894 
 
 7937 
 
 8' 
 
 5i 
 
 2888 
 
 2930 
 
 2972 
 
 3oi4 
 
 3o56 
 
 3098 
 
 8 
 
 52 
 
 7979 
 
 8021 
 
 8o63 
 
 8io5 
 
 8147 
 
 8189 
 
 7 
 
 52 
 
 3i4o 
 
 3i83 
 
 3225 
 
 3267 
 
 3309 
 
 335i 
 
 7 
 
 53 
 
 823i 
 
 8273 
 
 83i6 
 
 8358 
 
 84oo 
 
 8442 
 
 6 
 
 53 
 
 3393 
 
 3435 
 
 3477 
 
 3520 
 
 3562 
 
 36o4 
 
 6 
 
 54 
 
 8484 
 
 8526 
 
 8568 
 
 8610 
 
 86528695 
 
 5 
 
 54 
 
 3646 
 
 3688 
 
 3730 
 
 3772 
 
 38i5 
 
 3857 
 
 5 
 
 55 
 
 8737 
 
 8779 
 
 8821 
 
 8863 
 
 8905,8947 
 
 4 
 
 55 
 
 3899 
 
 3941 
 
 3983 
 
 4o25 
 
 4067 
 
 4109 
 
 4 
 
 56 
 
 8989 
 
 903 1 
 
 9074 
 
 91 16 
 
 9i58 9200 
 
 3 
 
 56 
 
 4i52 
 
 4194 
 
 4236 
 
 4278 
 
 4320 
 
 4362 
 
 3 
 
 57 
 
 9242 
 
 9284 
 
 9326 
 
 9368 
 
 9410 9453 
 
 2 
 
 57 
 
 44o4 
 
 4447 
 
 4489 
 
 453i 
 
 4573 
 
 46i5 
 
 2 
 
 58 
 
 9495 
 
 9537 
 
 9579 
 
 9621 
 
 9663*9705 
 
 I 
 
 58 
 
 4657 
 
 4699 
 
 4741 
 
 4784 
 
 4826 
 
 4868 
 
 I 
 
 59 
 
 9747 
 
 9789 
 
 9832 
 
 9874 
 
 9916 9958 
 
 
 
 59 
 
 4910 
 
 4952 
 
 4994 
 
 5o36 
 
 5079 
 
 20" 
 
 5l2I 
 
 
 
 
 60" 
 
 50" 
 
 ~Jo"' 
 
 30" 1 20" 1 10" 
 
 a 
 
 
 60" 
 
 50" 1 40" 
 
 30" 
 
 10" 
 
 
 Co-tangent of 45 Degrees. 
 
 Co-tangent of 44 Degrees. 
 
 P.] 
 
 r,. (1" 2" 3" 4" 5" 6" 7" 8" 9" 
 ^ ( i 8 13 17 21 25 29 34 38 
 
 „ ^ , < 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 i-.i-art^^ 8 13 17 21 25 29 34 38 
 
70 
 
 LOGAKITHMIC SiNES. 
 
 
 Sine of 46 Degrees. 
 
 
 s 
 
 Sine of 47 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 40" 
 
 50" 
 
 ! ^ 
 
 0" 
 
 10" 
 
 20" 
 
 1 30" 
 
 40" 
 
 50" 
 
 
 
 'I9. 856934 
 
 6954 
 
 6975 
 
 6995 
 
 7oi5 
 
 7o3e 
 
 59 
 
 
 
 9.864127 
 
 4i47 
 
 4167 
 
 i4i86 
 
 4206 
 
 4226 
 
 59 
 
 I 
 
 7o56 
 
 7076 
 
 7097 
 
 7117 
 
 7137 
 
 7i58 
 
 58 
 
 I 
 
 4245 
 
 4265 
 
 4284 
 
 I4304 
 
 4324 
 
 4343 
 
 58 
 
 2 
 
 7178 
 
 7198 
 
 7219 
 
 7239 
 
 7259 
 
 7279 
 
 57 
 
 2 
 
 4363 
 
 4383 
 
 44o2 
 
 4422 
 
 4441 
 
 446 1 
 
 57 
 
 3 
 
 7300 
 
 7320 
 
 7340 
 
 7361 
 
 738i 
 
 7401 
 
 56 
 
 3 
 
 448i 
 
 45oo 
 
 4520 
 
 4539 
 
 4559 
 
 4579 
 
 56 
 
 4 
 
 7422 
 
 7442 
 
 7462 
 
 7482 
 
 75o3 
 
 7523 
 
 55 
 
 4 
 
 4598 
 
 46i8 
 
 4637 
 
 4657 
 
 4676 
 
 4696 
 
 55 
 
 5 
 
 7543 
 
 7563 
 
 7584 
 
 7604 
 
 7621^ 
 
 7645 
 
 54 
 
 5 
 
 4716 
 
 4735 
 
 4755 
 
 4774 
 
 4794 
 
 48j3 
 
 54 
 
 6 
 
 7665 
 
 7685 
 
 7705 
 
 7726 
 
 7746 
 
 7766 
 
 53 
 
 6 
 
 4833 
 
 4853 
 
 4872 
 
 4892 
 
 4911 
 
 4931 
 
 53 
 
 7 
 
 7786 
 
 7807 
 
 7827 
 
 7847 
 
 7867 
 
 7888 
 
 52 
 
 7 
 
 4950 
 
 4970 
 
 4990 
 
 5009 
 
 5029 
 
 5o48 
 
 52 
 
 8 
 
 7908 
 
 7928 
 
 7948 
 
 7968 
 
 7989 8009 
 
 5i 
 
 8 
 
 5o68 
 
 5087 
 
 5 1 07 
 
 5i26 
 
 5i46 
 
 5i65 
 
 5i 
 
 9 
 
 8029 
 
 8049 
 
 8070 
 
 8090 
 
 8iio|8i3o 
 
 5o 
 
 9 
 
 5i85 
 
 52o4 
 
 5224 
 
 5244 
 
 5263 
 
 5283 
 
 5o 
 
 10 
 
 9.858i5i 
 
 8171 
 
 8191 
 
 8211 
 
 823i 
 
 8252 
 
 49 
 
 10 
 
 9.8653o2 
 
 5322 
 
 534i 
 
 536i 
 
 538o 
 
 5400 
 
 49 
 
 II 
 
 8272 
 
 8292 
 
 8312 
 
 8332 
 
 8353 
 
 8373 
 
 48 
 
 II 
 
 5419 
 
 5439 
 
 5458 
 
 5478 
 
 5497 
 
 55i7 
 
 48 
 
 12 
 
 8393 
 
 84i3 
 
 8433 
 
 8454 
 
 8474 
 
 8494 
 
 47 
 
 12 
 
 5536 
 
 5556 
 
 5575 
 
 5595 
 
 56i4 
 
 5634 
 
 47 
 
 i3 
 
 85i4 
 
 8534 
 
 8554 
 
 8575 
 
 8595 
 
 86i5 
 
 46 
 
 i3 
 
 5653 
 
 5673 
 
 5692 
 
 5712 
 
 5731 
 
 5751 
 
 46 
 
 i4 
 
 8635 
 
 8655 
 
 8675 
 
 8696 
 
 8716 
 
 8736 
 
 45 
 
 i4 
 
 5770 
 
 5790 
 
 5809 
 
 5828 
 
 5848 
 
 5867 
 
 45 
 
 i5 
 
 8756 
 
 8776 
 
 8796 
 
 8817 
 
 8837 
 
 8857 
 
 44 
 
 i5 
 
 5887 
 
 5906 
 
 5926 
 
 5945 
 
 5965 
 
 5984 
 
 44 
 
 i6 
 
 8877 
 
 8897 
 
 8917 
 
 8937 
 
 8958 
 
 8978 
 
 43 
 
 16 
 
 6oo4 
 
 6023 
 
 6042 
 
 6062 
 
 6081 
 
 6101 
 
 43 
 
 I? 
 
 8998 
 
 9018 
 
 9o38 
 
 9o58 
 
 9078 
 
 9098 
 
 42 
 
 17 
 
 6120 
 
 6i4o 
 
 6159 
 
 6179 
 
 6198 
 
 6217 
 
 42 
 
 i8 
 
 9119 
 
 9139 
 
 9159 
 
 9179 
 
 9199 
 
 9219 
 
 4i 
 
 18 
 
 6237 
 
 6256 
 
 6276 
 
 6295 
 
 63i5 
 
 6334 
 
 4i 
 
 19 
 
 9239 
 
 9259 
 
 9279 
 
 gSoo 
 
 9320 
 
 9340 
 
 4o 
 
 19 
 
 6353 
 
 6373 
 
 6392 
 
 64i2 
 
 643i 
 
 645o 
 
 4o 
 
 20 
 
 9.859360 
 
 9380 
 
 9400 
 
 9420 
 
 9440 
 
 9460 
 
 39 
 
 20 
 
 9.866470 
 
 6489 
 
 65o9 
 
 6528 
 
 6547 
 
 6567 
 
 39 
 
 21 
 
 9480 
 
 9501 
 
 9521 
 
 9541 
 
 9561 
 
 9581 
 
 38 
 
 21 
 
 6586 
 
 6606 
 
 6625 
 
 6644 
 
 6664 
 
 6683 
 
 38 
 
 22 
 
 9601 
 
 9621 
 
 9641 
 
 9661 
 
 9681 
 
 9701 
 
 37 
 
 22 
 
 6703 
 
 6722 
 
 6741 
 
 6761 
 
 6780 
 
 6800 
 
 37 
 
 23 
 
 9721 
 
 9741 
 
 9761 
 
 9781 
 
 9802 
 
 9822 
 
 36 
 
 23 
 
 6819 
 
 6838 
 
 6858 
 
 6877 
 
 6896 
 
 6916 
 
 36 
 
 24 
 
 9842 
 
 9862 
 
 9882 
 
 9902 
 
 9922 
 
 9942 
 
 35 
 
 24 
 
 6935 
 
 6954 
 
 6974 
 
 6993 
 
 70i3 
 
 7032 
 
 35 
 
 25 
 
 9962 
 9.860082 
 
 9982 
 0102 
 
 . • . 2 
 
 • . 22 
 
 . .42 
 
 ..62 
 
 34 
 
 25 
 
 7o5i 
 7167 
 
 7071 
 
 7187 
 
 7090 
 7206 
 
 7109 
 
 7225 
 
 7129 
 
 7245 
 
 7i48 
 7264 
 
 34 
 33 
 
 26 
 
 0122 
 
 0142 
 
 0162 
 
 0182 
 
 33 
 
 26 
 
 27 
 
 0202 
 
 0222 
 
 0242 
 
 0262 
 
 0282 
 
 o3o2 
 
 32 
 
 27 
 
 7283 
 
 73o3 
 
 7322 
 
 7341 
 
 7361 
 
 7380 
 
 32 
 
 28 
 
 o322 
 
 o342 
 
 o362 
 
 o382 
 
 0402 
 
 0422 
 
 3i 
 
 28 
 
 7399 
 
 7419 
 
 7438 
 
 7457 
 
 7476 
 
 7496 
 
 3i 
 
 29 
 
 0442 
 
 0462 
 
 0482 
 
 o5o2 
 
 o522 
 
 0542 
 
 3o 
 
 29 
 
 75i5 
 
 7534 
 
 7554 
 
 7573 
 
 7592 
 
 7612 
 
 3o 
 
 3o 
 
 9.860562 
 
 o582 
 
 0602 
 
 0622 
 
 0642 
 
 0662 
 
 29 
 
 3o 
 
 9.867631 
 
 7650 
 
 7669 
 
 7689 
 
 7708 
 
 7727 
 
 29 
 
 3i 
 
 0682 
 
 0702 
 
 0722 
 
 0742 
 
 0762 
 
 0782 
 
 28 
 
 3i 
 
 7747 
 
 7766 
 
 7785 
 
 7804 
 
 7824 
 
 7843 
 
 28 
 
 32 
 
 0802 
 
 0822 
 
 0842 
 
 0862 
 
 0882 
 
 0902 
 
 27 
 
 32 
 
 7862 
 
 7882 
 
 7901 
 
 7920 
 
 7939 
 
 7959 
 
 27 
 
 33 
 
 0922 
 
 0941 
 
 0961 
 
 0981 
 
 I 00 1 
 
 1 02 1 
 
 26 
 
 33 
 
 7978 
 
 7997 
 
 8016 
 
 8o36 
 
 8o55 
 
 8074 
 
 26 
 
 34 
 
 io4i 
 
 1061 
 
 1081 
 
 IIOI 
 
 II2I 
 
 ii4i 
 
 25 
 
 34 
 
 8093 
 
 8ii3 
 
 8i32 
 
 8i5i 
 
 8170 
 
 8190 
 
 25 
 
 35 
 
 1161 
 
 1181 
 
 1201 
 
 I22I 
 
 1240 
 
 1260 
 
 24 
 
 35 
 
 8209 
 
 8228 
 
 8247 
 
 8267 
 
 8286 
 
 83o5 
 
 24 
 
 36 
 
 1280 
 
 i3oo 
 
 l320 
 
 I 340 
 
 i36o 
 
 i38o 
 
 23 
 
 36 
 
 8324 
 
 8343 
 
 8363 
 
 8382 
 
 84oi 
 
 8420 
 
 23 
 
 37 
 
 i4oo 
 
 l420 
 
 1439 
 
 1459 
 
 r479 
 
 1499 
 
 22 
 
 37 
 
 844o 
 
 8459 
 
 8478 
 
 8497 
 
 85i6 
 
 8536 
 
 22 
 
 38 
 
 i5i9 
 
 i539 
 
 1559 
 
 1579 
 
 1599 
 
 1618 
 
 21 
 
 38 
 
 8555 
 
 8574 
 
 8593 
 
 8612 
 
 8632 
 
 865i 
 
 21 
 
 39 
 
 i638 
 
 i658 
 
 1678 
 
 1698 
 
 1718 
 
 1738 
 
 20 
 
 39 
 
 8670 
 
 8689 
 
 8708 
 
 8728 
 
 8747 
 
 8766 
 
 20 
 
 4o 
 
 g. 861758 
 
 1777 
 
 1797 
 
 1817 
 
 i837 
 
 1857 
 
 19 
 
 40 
 
 9.868785 
 
 8804 
 
 8823 
 
 8843 
 
 8862 
 
 8881 
 
 '9 
 
 4i 
 
 1877 
 
 1897 
 
 I9I6 
 
 1936 
 
 1956 
 
 1976 
 
 18 
 
 4i 
 
 8900 
 
 8919 
 
 8939 
 
 8958 
 
 8977 
 
 8996 
 
 18 
 
 42 
 
 1996 
 
 2016 
 
 2o35 
 
 2o55 
 
 2075 
 
 2095 
 
 17 
 
 42 
 
 9015 
 
 9034 
 
 9053 
 
 9073 
 
 9092 
 
 911 1 
 
 17 
 
 43 
 
 21 15 
 
 2i35 
 
 2i54 
 
 2174 
 
 2194 
 
 22l4 
 
 16 
 
 43 
 
 9i3o 
 
 9149 
 
 9168 
 
 9188 
 
 9207 
 
 9226 
 
 16 
 
 44 
 
 2234 
 
 2254 
 
 2273 
 
 2293 
 
 23i3 
 
 2333 
 
 i5 
 
 44 
 
 9245 
 
 9264 
 
 9283 
 
 9302 
 
 9321 
 
 9341 
 
 i5 
 
 45 
 
 2353 
 
 2372 
 
 2392 
 
 2412 
 
 2432 
 
 2452 
 
 i4 
 
 45 
 
 9360 
 
 9379 
 
 9398 
 
 9417 
 
 9436 
 
 9455 
 
 i4 
 
 46 
 
 247' 
 
 2491 
 
 25l I 
 
 253i 
 
 255i 
 
 2570 
 
 i3 
 
 46 
 
 9474 
 
 9494 
 
 95i3 
 
 9532 
 
 9551 
 
 9570 
 
 i3 
 
 47 
 
 2590 
 
 2610 
 
 263o 
 
 265o 
 
 2669 
 
 2689 
 
 12 
 
 47 
 
 9589 
 
 9608 
 
 9627 
 
 9646 
 
 9665 
 
 9685 
 
 12 
 
 48 
 
 2709 
 
 2729 
 
 2748 
 
 2768 
 
 2788 
 
 2808 
 
 1 1 
 
 48 
 
 9704 
 
 9723 
 
 9742 
 
 9761 
 
 9780 
 
 9799 
 
 II 
 
 ^^ 
 
 2827 
 
 2847 
 
 2867 
 
 2887 
 
 2906 
 
 2926 
 
 ID 
 
 49 
 
 9818 
 
 9837 
 
 9856 
 
 9875 
 
 9894 
 
 9914 
 
 10 
 
 ' " 
 
 9.862946 
 
 2966 
 
 2985 
 
 3oo5 
 
 3o25 
 
 3o45 
 
 9 
 
 5o 
 
 9.869933 
 
 9952 
 
 9971 
 
 9990 
 
 . .9 
 
 28 
 
 9 
 
 5i 
 
 3o64 
 
 3o84 
 
 3io4 
 
 3i24 
 
 3i43 
 
 3i63 
 
 8 
 
 5i 
 
 9.870047 
 
 0066 
 
 oo85 
 
 oio4 
 
 0123 
 
 0142 
 
 8 
 
 52 
 
 3i83 
 
 32o3 
 
 3222 
 
 3242 
 
 3262 
 
 3281 
 
 7 
 
 52 
 
 0161 
 
 0180 
 
 0199 
 
 0218 
 
 0238 
 
 0257 
 
 7 
 
 53 
 
 33oi 
 
 3321 
 
 334i 
 
 336o 
 
 338o 
 
 3400 
 
 6 
 
 53 
 
 0276 
 
 0295 
 
 o3i4 
 
 o333 
 
 o352 
 
 0371 
 
 C 
 
 54 
 
 3419 
 
 3439 
 
 3459 
 
 3478 
 
 3498 
 
 35i8 
 
 5 
 
 54 
 
 0390 
 
 0409 
 
 0428 
 
 0447 
 
 o466 
 
 o485 
 
 5 
 
 55 
 
 3538 
 
 3557 
 
 3577 
 
 3597 
 
 36i6 
 
 3636 
 
 4 
 
 55 
 
 o5o4 
 
 o523 
 
 o542 
 
 o56i 
 
 o58o 
 
 0599 
 
 4 
 
 56 
 
 3656 
 
 3675 
 
 3695 
 
 3715 
 
 3734 
 
 3754 
 
 3 
 
 56 
 
 0618 
 
 0637 
 
 o656 
 
 0675 
 
 0694 
 
 0713 
 
 3 
 
 57 
 
 3774 
 
 3793 
 
 38i3 
 
 3833 
 
 3852 
 
 3872 
 
 2 
 
 57 
 
 0732 
 
 0751 
 
 0770 
 
 0789 
 
 0808 
 
 0827 
 
 2 
 
 58 
 
 3892 
 
 3911 
 
 3931 
 
 3951 
 
 3970 
 
 3990 
 
 I 
 
 58 
 
 o846 
 
 o865 
 
 o884 
 
 0903 
 
 0922 
 
 0941 
 
 I 
 
 59 
 
 4oio 
 
 4029 
 
 4o49 
 
 4069 
 
 4088 
 
 4io8 
 
 
 
 59 
 
 0960 
 
 0979 
 
 0998 
 
 1017 
 
 io36 
 
 io54 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 
 60" 
 
 50" 
 
 40" ! 30" ! 
 
 20' 
 
 10" 
 
 .S 
 
 Co-sine of 43 Degrees. 
 
 Co-sine of 42 Degrees. 
 
 PParfil" 2" 3" 4" 5" 6" 7" 8"^ 
 r.rart^2 4 6 8 10 12 14 16 1 
 
 r 
 
 8 
 
 P. 
 
 ,>.,.(!" 2" 3" 4" 5" 6" 7" 8" 9" 
 /2 4 6 8 10 13 14 15 17 
 

 
 
 
 Logarithmic Tangents, 
 
 
 
 
 
 71 
 
 ■^1 
 
 Tanfrent of 46 Degrees. 
 
 
 .9 
 
 Tangent of 47 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 40" 1 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 
 o 
 
 io.oi5i63 
 
 52o5 
 
 5247 
 
 5289 
 
 533i 
 
 5373 
 
 59 
 
 
 
 io.o3o344 
 
 o386 
 
 0429 
 
 0471 
 
 o5i3 
 
 o555 
 
 59 
 
 I 
 
 5416 
 
 5458 
 
 55oo 
 
 5542 
 
 5584 
 
 5626 
 
 58 
 
 I 
 
 0597 
 
 o64o 
 
 0682 
 
 0724 
 
 0766 
 
 0808 
 
 58 
 
 2 
 
 5668 
 
 5711 
 
 5753 
 
 5795 
 
 5837 
 
 5879 
 
 57 
 
 2 
 
 g85i 
 
 0893 
 
 0935 
 
 0977 
 
 1020 
 
 1062 
 
 57 
 
 3 
 
 5931 
 
 5963 
 
 6006 
 
 6o48 
 
 6090 
 
 6i32 
 
 56 
 
 3 
 
 I io4 
 
 ii46 
 
 ii88 
 
 I23l 
 
 1273 
 
 i3i5 
 
 56 
 
 4 
 
 6174 
 
 6216 
 
 6258 
 
 63oi 
 
 6343 
 
 6385 
 
 55 
 
 4 
 
 1357 
 
 i4oo 
 
 1 442 
 
 1 484 
 
 i526 
 
 1 568 
 
 55 
 
 5 
 
 6427 
 
 6469 
 
 65ii 
 
 6553 
 
 6596 
 
 6638 
 
 54 
 
 5 
 
 1611 
 
 i653 
 
 1695 
 
 1737 
 
 1780 
 
 1822 
 
 54 
 
 6 
 
 6680 
 
 6722 
 
 6764 
 
 6806 
 
 6848 
 
 6891 
 
 53 
 
 6 
 
 1 864 
 
 1906 
 
 1948 
 
 1 991 
 
 2o33 
 
 2075 
 
 53 
 
 7 
 
 6933 
 
 6975 
 
 7017 
 
 7059 
 
 7101 
 
 7143 
 
 52 
 
 7 
 
 2117 
 
 2160 
 
 2202 
 
 2244 
 
 2286 
 
 2328 
 
 52 
 
 8 
 
 7186 
 
 7228 
 
 7270 
 
 7312 
 
 7354 
 
 7396 
 
 5i 
 
 8 
 
 2371 
 
 24i3 
 
 2455 
 
 2497 
 
 254o 
 
 2582 
 
 5i 
 
 9 
 
 7438 
 
 7481 
 
 7523 
 
 7565 
 
 7607 
 
 7649 
 
 5o 
 
 9 
 
 2624 
 
 2666 
 
 2709 
 
 2751 
 
 2793 
 
 2835 
 
 5o 
 
 lO 
 
 10.017691 
 
 7733 
 
 7776 
 
 7818 
 
 7860 
 
 7902 
 
 49 
 
 10 
 
 10.032877 
 
 2920 
 
 2962 
 
 3oo4 
 
 3o46 
 
 3089 
 
 49 
 
 II 
 
 7944 
 
 7986 
 
 8028 
 
 8071 
 
 8ii3 
 
 8i55 
 
 48 
 
 II 
 
 3i3i 
 
 3173 
 
 32i5 
 
 3258 
 
 33oo 
 
 3342 
 
 48 
 
 12 
 
 8197 
 
 8239 
 
 8281 
 
 8323 
 
 8366 
 
 8408 
 
 47 
 
 12 
 
 3384 
 
 3426 
 
 3469 
 
 35ii 
 
 3553 
 
 3595 
 
 47 
 
 i3 
 
 845o 
 
 8492 
 
 8534 
 
 8576 
 
 8618 
 
 8661 
 
 46 
 
 i3 
 
 3638 
 
 368o 
 
 3722 
 
 3764 
 
 3807 
 
 3849 
 
 46 
 
 i4 
 
 8703 
 
 8745 
 
 8787 
 
 8829 
 
 8871 
 
 8914 
 
 45 
 
 i4 
 
 3891 
 
 3933 
 
 3976 
 
 4oi8 
 
 4o6o 
 
 4 1 02 
 
 45 
 
 i5 
 
 8956 
 
 8998 
 
 9040 
 
 9082 
 
 9124 
 
 9166 
 
 44 
 
 i5 
 
 4i45 
 
 4187 
 
 4229 
 
 4271 
 
 43i3 
 
 4356 
 
 44 
 
 i6 
 
 9209 
 
 925 1 
 
 9293 
 
 9335 
 
 9377 
 
 9419 
 
 43 
 
 16 
 
 4398 
 
 4440 
 
 4482 
 
 4525 
 
 4567 
 
 4609 
 
 43 
 
 '7 
 
 9462 
 
 95o4 
 
 9546 
 
 9588 
 
 9630 
 
 9672 
 
 42 
 
 17 
 
 465i 
 
 4694 
 
 4736 
 
 4778 
 
 4820 
 
 4863 
 
 42 
 
 [8 
 
 9714 
 
 9757 
 
 9799 
 
 9841 
 
 9883 
 
 9925 
 
 4i 
 
 18 
 
 4905 
 
 4947 
 
 4989 
 
 5o32 
 
 5074 
 
 5ii6 
 
 4i 
 
 '9 
 
 9967 
 
 . . 10 
 
 ..52 
 
 ..94 
 
 .i36 
 
 .178 
 
 40 
 
 19 
 
 5i58 
 
 5201 
 
 5243 
 
 5285 
 
 5327 
 
 5370 
 
 40 
 
 20 
 
 10.020220 
 
 0262 
 
 o3o5 
 
 o347 
 
 0389 
 
 o43i 
 
 39 
 
 20 
 
 io.o354i2 
 
 5454 
 
 5496 
 
 5539 
 
 558i 
 
 5623 
 
 39 
 
 2 1 
 
 0473 
 
 o5i5 
 
 o558 
 
 0600 
 
 0642 
 
 0684 
 
 38 
 
 21 
 
 5665 
 
 5708 
 
 5750 
 
 5792 
 
 5834 
 
 5877 
 
 38 
 
 22 
 
 0726 
 
 0768 
 
 0810 
 
 o853 
 
 0895 
 
 0937 
 
 37 
 
 22 
 
 5919 
 
 5961 
 
 6oo3 
 
 6o46 
 
 6088 
 
 6i3o 
 
 37 
 
 23 
 
 0979 
 
 1 02 1 
 
 io63 
 
 1 106 
 
 ii48 
 
 1190 
 
 36 
 
 23 
 
 6172 
 
 6215 
 
 6257 
 
 6299 
 
 634i 
 
 6384 
 
 36 
 
 24 
 
 1232 
 
 1274 
 
 i3i6 
 
 1359 
 
 i4oi 
 
 1443 
 
 35 
 
 24 
 
 6426 
 
 6468 
 
 65ii 
 
 6553 
 
 6595 
 
 6637 
 
 35 
 
 25 
 
 i485 
 
 i527 
 
 1569 
 
 1612 
 
 i654 
 
 1696 
 
 34 
 
 25 
 
 6680 
 
 6722 
 
 6764 
 
 6806 
 
 6849 
 
 6891 
 
 34 
 
 26 
 
 1738 
 
 1780 
 
 1822 
 
 i865 
 
 1907 
 
 1949 
 
 33 
 
 26 
 
 6933 
 
 6975 
 
 7018 
 
 7060 
 
 7102 
 
 7144 
 
 33 
 
 27 
 
 1991 
 
 2o33 
 
 2075 
 
 2118 
 
 2160 
 
 2202 
 
 32 
 
 27 
 
 7187 
 
 7229 
 
 7271 
 
 73i4 
 
 7356 
 
 7398 
 
 32 
 
 28 
 
 2244 
 
 2286 
 
 2328 
 
 2370 
 
 24l3 
 
 2455 
 
 3i 
 
 28 
 
 7440 
 
 7483 
 
 7525 
 
 7567 
 
 7609 
 
 7652 
 
 3i 
 
 29 
 
 2497 
 
 2539 
 
 258i 
 
 2623 
 
 2666 
 
 2708 
 
 3o 
 
 29 
 
 7694 
 
 7736 
 
 7778 
 
 7821 
 
 7863 
 
 7905 
 
 3o 
 
 3o 
 
 10.022750 
 
 2792 
 
 2834 
 
 2877 
 
 2919 
 
 2961 
 
 29 
 
 3o 
 
 10.037948 
 
 7990 
 
 8o32 
 
 8074 
 
 8117 
 
 8159 
 
 29 
 
 3i 
 
 3oo3 
 
 3o45 
 
 3087 
 
 3i3o 
 
 3172 
 
 32l4 
 
 28 
 
 3i 
 
 8201 
 
 8243 
 
 8286 
 
 8328 
 
 8370 
 
 84i3 
 
 28 
 
 32 
 
 3256 
 
 3298 
 
 3340 
 
 3383 
 
 3425 
 
 3467 
 
 27 
 
 32 
 
 8455 
 
 8497 
 
 8539 
 
 8582 
 
 8624 
 
 8666 
 
 27 
 
 33 
 
 3509 
 
 355i 
 
 3593 
 
 3636 
 
 3678 
 
 3720 
 
 26 
 
 33 
 
 8708 
 
 8751 
 
 8793 
 
 8835 
 
 8878 
 
 8920 
 
 26 
 
 34 
 
 3762 
 
 38o4 
 
 3846 
 
 3889 
 
 3931 
 
 3973 
 
 25 
 
 34 
 
 8962 
 
 9004 
 
 9047 
 
 9089 
 
 9i3i 
 
 9174 
 
 25 
 
 35 
 
 4oi5 
 
 4o57 
 
 4099 
 
 4i42 
 
 4i84 
 
 4226 
 
 24 
 
 35 
 
 9216 
 
 9258 
 
 9300 
 
 9343 
 
 9385 
 
 9427 
 
 24 
 
 36 
 
 4268 
 
 43io 
 
 4353 
 
 4395 
 
 4437 
 
 4479 
 
 23 
 
 36 
 
 9470 
 
 9512 
 
 9554 
 
 9596 
 
 9639 
 
 9681 
 
 23 
 
 37 
 
 4521 
 
 4563 
 
 4606 
 
 4648 
 
 4690 
 
 4732 
 
 22 
 
 37 
 
 9723 
 
 9766 
 
 9808 
 
 9850 
 
 9892 
 
 9935 
 
 22 
 
 38 
 
 4774 
 
 4817 
 
 4859 
 
 4901 
 
 4943 
 
 4985 
 
 21 
 
 38 
 
 9977 
 
 ..19 
 
 ..62 
 
 . io4 
 
 .146 
 
 .188 
 
 21 
 
 39 
 
 5027 
 
 5070 5i 12 
 
 5i54 
 
 5196 
 
 5238 
 
 20 
 
 39 
 
 io.o4o23i 
 
 0273 
 
 o3i5 
 
 o358 
 
 o4oo 
 
 0442 
 
 20 
 
 4o 
 
 10. 025280 
 
 5323 
 
 5365 
 
 5407 
 
 5449 
 
 5491 
 
 19 
 
 40 
 
 io.o4o484 
 
 0527 
 
 0569 
 
 061 1 
 
 o654 
 
 0696 
 
 •9 
 
 4i 
 
 5534 
 
 5576 
 
 56i8 
 
 566o 
 
 5702 
 
 5745 
 
 18 
 
 4i 
 
 0738 
 
 0781 
 
 0823 
 
 o865 
 
 0907 
 
 0950 
 
 18 
 
 42 
 
 5787 
 
 5829 
 
 5871 
 
 5913 
 
 5955 
 
 5998 
 
 17 
 
 42 
 
 0992 
 
 io34 
 
 1077 
 
 1119 
 
 1161 
 
 I204 
 
 17 
 
 43 
 
 6o4o 
 
 6082 
 
 6124 
 
 6166 
 
 6209 
 
 625i 
 
 16 
 
 43 
 
 1246 
 
 1288 
 
 i33o 
 
 1373 
 
 i4i5 
 
 1457 
 
 16 
 
 44 
 
 6293 
 
 6335 
 
 6377 
 
 6419 
 
 6462 
 
 65o4 
 
 i5 
 
 44 
 
 i5oo 
 
 1 542 
 
 1 584 
 
 1627 
 
 1669 
 
 I7II 
 
 i5 
 
 45 
 
 6546 
 
 6588 
 
 663o 
 
 6673 
 
 6715 
 
 6757 
 
 i4 
 
 45 
 
 1753 
 
 1796 
 
 i833 
 
 1880 
 
 1923 
 
 1965 
 
 i4 
 
 46 
 
 6799 
 
 684i 
 
 6884 
 
 6926 
 
 6968 
 
 7010 
 
 i3 
 
 46 
 
 2007 
 
 2o5o 
 
 2092 
 
 2i34 
 
 2177 
 
 2219 
 
 i3 
 
 47 
 
 7o52 
 
 7095 
 
 7137 
 
 7179 
 
 7221 
 
 7263 
 
 12 
 
 47 
 
 2261 
 
 23o3 
 
 2346 
 
 2388 
 
 243o 
 
 2473 
 
 12 
 
 48 
 
 73o5 
 
 7348 
 
 7390 
 
 7432 
 
 7474 
 
 7516 
 
 II 
 
 48 
 
 25i5 
 
 2557 
 
 2600 
 
 2642 
 
 2684 
 
 2727 
 
 11 
 
 49 
 
 7559 
 
 7601 
 
 7643 
 
 7685 
 
 7727 
 
 7770 
 
 10 
 
 49 
 
 2769 
 
 2811 
 
 2854 
 
 2896 
 
 2938 
 
 2980 
 
 10 
 
 5o 
 
 10.027812 
 
 7854 
 
 7896 
 
 7938 
 
 7981 
 
 8023 
 
 9 
 
 5o 
 
 io.o43o23 
 
 3o65 
 
 3io7 
 
 3i5o 
 
 3192 
 
 3234 
 
 9 
 
 5i 
 
 8o65 
 
 8107 
 
 8149 
 
 8192 
 
 8234 
 
 8276 
 
 8 
 
 5i 
 
 3277 
 
 3319 
 
 336i 
 
 34o4 
 
 3446 
 
 3488 
 
 8 
 
 52 
 
 83i8 
 
 836o 
 
 84o3 
 
 8445 
 
 8487 
 
 8529 
 
 7 
 
 52 
 
 353i 
 
 3573 
 
 36i5 
 
 3658 
 
 3700 
 
 3742 
 
 7 
 
 53 
 
 8571 
 
 86i4 
 
 8656 
 
 8698 
 
 8740 
 
 8782 
 
 6 
 
 53 
 
 3785 
 
 3827 
 
 3869 
 
 3912 
 
 3954 
 
 3996 
 
 6 
 
 54 
 
 8825 
 
 8867 
 
 8909 
 
 8951 
 
 8993 
 
 9o36 
 
 5 
 
 54 
 
 4o39 
 
 4o8i 
 
 4l23 
 
 4i65 
 
 4208 
 
 425o 
 
 5 
 
 55 
 
 9078 
 
 gi20 
 
 9162 
 
 9204 
 
 9247 
 
 9289 
 
 4 
 
 55 
 
 4292 
 
 4335 
 
 4377 
 
 4419 
 
 4462 
 
 45o4 
 
 4 
 
 56 
 
 9331 
 
 9373 
 
 9416 
 
 9458 
 
 9500 
 
 9542 
 
 3 
 
 56 
 
 4546 
 
 4589 
 
 463i 
 
 4673 
 
 4716 
 
 4758 
 
 3 
 
 57 
 
 9584 
 
 9627 
 
 9669 
 
 9711 
 
 9753 
 
 9795 
 
 2 
 
 57 
 
 4800 
 
 4843 
 
 4885 
 
 4927 
 
 4970 
 
 5oi2 
 
 2 
 
 58 
 
 9838 
 
 9880 9922 
 
 9964 
 
 . ..6 
 
 . .49 
 
 I 
 
 58 
 
 5o5^ 
 
 5097 
 
 5i39 
 
 5i8i 
 
 522Z 
 
 5266 
 
 I 
 
 5c, 
 
 10.030091 
 
 oi33 0175 
 
 021 7 
 
 026c 
 
 o3o2 
 
 
 
 5g 
 
 5309 
 
 535i 
 
 5393 
 
 5436 
 
 5478 
 
 5520 
 
 
 
 
 60" 
 
 50" 1 40" 
 
 30" 1 20" 1 10" 
 
 s 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 5 
 
 Co-tansrent of 43 Degrees. 
 
 Co-tangent of 42 Degrees. 
 
 I 
 
 ( 1" ' 
 >. Part 31 ■ 
 
 2" 3' 
 3 13 
 
 ' 4" 
 17 
 
 5" 6" 7" 8" 9" 
 21 35 30 34 38 
 
 P 
 
 , „ J 1" 2" 3' 
 '•Part]^ 8 13 
 
 ' 4" 
 17 
 
 5" 6 
 21 2; 
 
 " rr" 
 
 5 30 
 
 8" 
 34 i 
 
 9" 
 
 58 
 
72 
 
 
 
 
 Logarithmic Sines. 
 
 
 
 
 
 
 
 Sine of 48 Des^rees. 
 
 
 
 Sine of 49 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 1 10" 
 
 20" 
 
 30" 
 
 40" 1 50" 
 
 o 
 
 9.871073 
 
 1092 
 
 nil 
 
 ii3o 
 
 I 149 
 
 1x68 
 
 59 
 
 
 
 9.877780 
 
 7798 
 
 7816 
 
 7835 
 
 7853 
 
 7871 
 
 59 
 
 I 
 
 1187 
 
 1206 
 
 1225 
 
 1244 
 
 1263 
 
 1282 
 
 58 
 
 X 
 
 7890 
 
 7908 
 
 7926 
 
 7945 
 
 7963 
 
 7981 
 
 58 
 
 2 
 
 i3oi 
 
 l320 
 
 1339 
 
 i358 
 
 1377 
 
 1395 
 
 57 
 
 2 
 
 7999 
 
 8018 
 
 8o36 
 
 8o54 
 
 8072 
 
 8091 
 
 57 
 
 3 
 
 i4i4 
 
 i433 
 
 l452 
 
 1471 
 
 1490 
 
 1 509 
 
 56 
 
 3 
 
 8109 
 
 8127 
 
 8x46 
 
 8x64 
 
 8182 
 
 8200 
 
 56 
 
 4 
 
 i528 
 
 i547 
 
 i566 
 
 i5b5 
 
 i6o4 
 
 1622 
 
 55 
 
 4 
 
 8219 
 
 8237 
 
 8255 
 
 8273 
 
 8292 
 
 83xo 
 
 55 
 
 5 
 
 i64i 
 
 1660 
 
 1679 
 
 1698 
 
 1717 
 
 1736 
 
 54 
 
 5 
 
 8328 
 
 8346 
 
 8365 
 
 8383 
 
 84oi 
 
 8419 
 
 54 
 
 6 
 
 1755 
 
 1774 
 
 1793 
 
 1811 
 
 i83o 
 
 1849 
 
 53 
 
 6 
 
 8438 
 
 8456 
 
 8474 
 
 8492 
 
 85ii 
 
 8529 
 
 53 
 
 7 
 
 1868 
 
 1887 
 
 1906 
 
 1925 
 
 1944 
 
 1962 
 
 52 
 
 7 
 
 8547 
 
 8565 
 
 8583 
 
 8602 
 
 8620 
 
 8638 
 
 52 
 
 8 
 
 1981 
 
 2000 
 
 2019 
 
 2o38 
 
 2057 
 
 2076 
 
 5i 
 
 8 
 
 8656 
 
 8675 
 
 8693 
 
 8711 
 
 8729 
 
 8747 
 
 5i 
 
 9 
 
 2095 
 
 21 1 3 
 
 2l32 
 
 2l5l 
 
 2170 2189 
 
 5o 
 
 9 
 
 8766 
 
 8784 
 
 8802 
 
 8820 
 
 8838 
 
 8857 
 
 5o 
 
 lO 
 
 9.872208 
 
 2226 
 
 2245 
 
 2264 
 
 2283 
 
 23o2 
 
 49 
 
 xo 
 
 9.878875 
 
 8893 
 
 8911 
 
 8929 
 
 8948 
 
 8966 
 
 49 
 
 II 
 
 2321 
 
 234o 
 
 2358 
 
 2377 
 
 2396 
 
 24i5 
 
 48 
 
 II 
 
 8984 
 
 9002 
 
 9020 
 
 9039 
 
 9057 
 
 9075 
 
 48 
 
 12 
 
 2434 
 
 2452 
 
 2471 
 
 2490 
 
 2509 
 
 2528 
 
 47 
 
 12 
 
 9093 
 
 91 X I 
 
 9129 
 
 9148 
 
 9166 
 
 9x84 
 
 47 
 
 i3 
 
 2547 
 
 2565 
 
 2584 
 
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 45 
 
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 2772 
 
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 44 
 
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 9420 
 
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 44 
 
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 2885 
 
 2904 
 
 2923 
 
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 2960 
 
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 43 
 
 16 
 
 9529 
 
 9547 
 
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 43 
 
 17 
 
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 3073 
 
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 42 
 
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 9710 
 
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 42 
 
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 32o4 
 
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 9764 
 
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 9800 
 
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 19 
 
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 19 
 
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 9927 
 
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 39 
 
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 39 
 
 21 
 
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 3466 
 
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 35o4 
 
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 22 
 
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 37 
 
 22 
 
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 37 
 
 23 
 
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 3747 
 
 3766 
 
 36 
 
 23 
 
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 36 
 
 24 
 
 3784 
 
 38o3 
 
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 35 
 
 24 
 
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 35 
 
 25 
 
 3896 
 
 3915 
 
 3934 
 
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 3971 
 
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 34 
 
 25 
 
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 0577 
 
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 34 
 
 26 
 
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 4027 
 
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 4o83 
 
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 33 
 
 26 
 
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 0667 
 
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 0704 
 
 33 
 
 27 
 
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 4195 
 
 42i4 
 
 32 
 
 27 
 
 0722 
 
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 0812 
 
 32 
 
 28 
 
 4232 
 
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 4270 
 
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 1781 
 
 23 
 
 37 
 
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 53x1 
 
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 22 
 
 37 
 
 1799 
 
 1817 
 
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 1871 
 
 1889 
 
 22 
 
 38 
 
 5348 
 
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 5422 
 
 5441 
 
 21 
 
 38 
 
 1907 
 
 1925 
 
 1942 
 
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 1996 
 
 21 
 
 39 
 
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 55i5 
 
 5534 
 
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 39 
 
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 5700 
 
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 6568 
 
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 54 
 
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 73o3 
 
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 56 
 
 7340 
 
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 74x3 
 
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 56 
 
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 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 JS 
 
 
 60" 
 
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 40" 
 
 30" 
 
 20' 
 
 10" 
 
 
 Co-sine of 41 Desrrees. 
 
 Co-sine of 40 Degrees. 
 
 P.F 
 
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 (2 4 6 7 9 11 13 15 17 
 
 pp . j 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 r.iart ^ 2 4 5 7 9 11 13 14 16 
 

 
 
 
 Logarithmic 
 
 Tangents. 
 
 
 
 
 
 73 
 
 s 
 
 Tangent of 48 Degrees. 
 
 
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 Tangent of 49 Degi-ees. 
 
 
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 56 
 
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 1602 
 
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 56 
 
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 6579 
 
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 54 
 
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 2241 
 
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 53 
 
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 53 
 
 7 
 
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 7638 
 
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 43 
 
 16 
 
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 17 
 
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 42 
 
 17 
 
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 53o5 
 
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 18 
 
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 18 
 
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 21 
 
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 6285 
 
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 64x3 
 
 38 
 
 22 
 
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 1198 
 
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 22 
 
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 37 
 
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 26 
 
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 33 
 
 26 
 
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 27 
 
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 29 
 
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 27 
 
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 37 
 
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 10.058287 
 
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 10.073622 
 
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 3793 
 
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 8 
 
 52 
 
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 9o5i 
 
 9094 
 
 9i36 
 
 9179 
 
 922X 
 
 9264 
 
 6 
 
 53 
 
 4391 
 
 4434 
 
 4477 
 
 45x9 
 
 4562 46o5 
 
 6 
 
 54 
 
 g3o6 
 
 9349 
 
 93gi 
 
 9434 
 
 9476 
 
 95x9 
 
 5 
 
 54 
 
 4648 
 
 4690 
 
 4733 
 
 4776 
 
 4819 486i 
 
 5 
 
 55 
 
 9361 
 
 9604 
 
 9646 
 
 9689 
 
 9732 
 
 9774 
 
 4 
 
 55 
 
 4904 
 
 4947 
 
 4989 
 
 5o32 
 
 5075 
 
 5ii8 
 
 4 
 
 56 
 
 9817 
 
 9859 
 
 9902 
 
 9944 
 
 9987 
 
 ..29 
 
 3 
 
 56 
 
 5i6o 
 
 52o3 
 
 5246 
 
 5289 
 
 533i 
 
 5374 
 
 3 
 
 57 
 
 10.060072 
 
 o[ i4 
 
 0157 
 
 0x99 
 
 0242 
 
 0284 
 
 2 
 
 57 
 
 5417 
 
 5460 
 
 55o2 
 
 5545 
 
 5588 5631 
 
 2 
 
 58 
 
 o327 
 
 0369 
 
 04l2 
 
 0454 
 
 0497 
 
 0539 
 
 I 
 
 58 
 
 5673 
 
 5716 
 
 5759 
 
 58o2 
 
 5844 
 
 5887 
 
 X 
 
 59 
 
 o582 
 
 0624 
 
 0667 
 
 0709 
 
 0752 
 
 0794 
 
 
 
 59 
 
 5930 
 
 5973 
 
 60 X 5 
 
 6o58 6x01 
 
 6|44 
 
 
 
 
 60" 50" 
 
 40" 1 30" 
 
 SO- 
 
 10" 
 
 
 
 60" 50" 
 
 40" 
 
 .30" 20" 
 
 10' 
 
 c 
 
 Co-tangent of 41 Degrees. 
 
 Co-tangent of 40 Degrees. 
 
 S 
 
 ,-■ 
 
 „„J1" 2" 3" 4" 5" 6" 7" 8" 9" 
 ^'^""(4 8 13 17 21 25 30 34 38 
 
 V P,r^ i 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 •""|4 9 13 17 21 26 30 34 38 
 
74: 
 
 
 
 
 Logarithmic Sines. 
 
 
 
 
 
 
 <, 
 
 Sine of 50 Degrees. 
 
 
 
 Sine of 51 Degrees. 
 
 
 0" 
 
 10- 
 
 20" 
 
 4289 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20' 
 
 30" 
 
 40" 50" 
 
 O 
 
 9.884254 
 
 4272 
 
 4307 
 
 4325 
 
 4342 
 
 59 
 
 
 
 9.890503 
 
 o52o 
 
 o5a7 
 
 o554 
 
 0571 
 
 o58» 
 
 59 
 
 1 
 
 436o 
 
 4378 
 
 4395 
 
 44i3 
 
 443i 
 
 4448 
 
 58 
 
 I 
 
 o6o5 
 
 0622 
 
 0639 
 
 o656 
 
 0673 
 
 0690 
 
 58 
 
 2 
 
 4466 
 
 4383 
 
 45oi 
 
 4519 
 
 4536 
 
 4554 
 
 57 
 
 2 
 
 0707 
 
 0724 
 
 0741 
 
 0758 
 
 0775 
 
 0792 
 
 57 
 
 3 
 
 4572 
 
 4589 
 
 4607 
 
 4625 
 
 4642 
 
 4660 
 
 56 
 
 3 
 
 0809 
 
 0826 
 
 0843 0860 
 
 0877 0894 
 
 56 
 
 4 
 
 4677 
 
 4695 
 
 47i3 
 
 4730 
 
 4748 
 
 4766 
 
 55 
 
 4 
 
 0911 
 
 0928 
 
 0945 
 
 0962 
 
 0979 0996 
 
 55 
 
 5 
 
 4783 
 
 48oi 
 
 48i8 
 
 4836 
 
 4854 
 
 4871 
 
 54 
 
 5 
 
 ioi3 
 
 io3o 
 
 1047 
 
 1064 
 
 1081 
 
 1098 
 
 54 
 
 6 
 
 4889 
 
 4906 
 
 4924 
 
 4942 
 
 4959 
 
 4977 
 
 53 
 
 6 
 
 1 1 15 
 
 I l32 
 
 II49 
 
 1166 
 
 ii83 
 
 1200 
 
 53 
 
 7 
 
 4994 
 
 5oi2 
 
 5o3o 
 
 5o47 
 
 5o65 
 
 5o82 
 
 52 
 
 7 
 
 1217 
 
 1234 
 
 I25l 
 
 1268 
 
 1285 
 
 l302 
 
 52 
 
 8 
 
 5 100 
 
 5ii8 
 
 5i35 
 
 5i53 
 
 5170 
 
 5i88 
 
 5i 
 
 8 
 
 i3i9 
 
 i336 
 
 i353 
 
 1370 
 
 i387 
 
 i4o4 
 
 5i 
 
 Q 
 
 52o5 
 
 5223 
 
 524i 
 
 5258 
 
 5276 
 
 5293 
 
 5o 
 
 9 
 
 l42I 
 
 i438 
 
 1455 
 
 1472 
 
 1489 
 
 i5o6 
 
 5o 
 
 7 
 
 10 
 
 9.8853II 
 
 5328 
 
 5346 
 
 5364 
 
 538i 
 
 5399 
 
 49 
 
 10 
 
 9.891523 
 
 i54o 
 
 i556 
 
 1573 
 
 1590J1607 
 
 49 
 
 1 1 
 
 54i6 
 
 5434 
 
 545i 
 
 5469 
 
 5486 
 
 55o4 
 
 48 
 
 II 
 
 1624 
 
 i64i 
 
 i658 
 
 1675 
 
 1692,1709 
 
 48 
 
 12 
 
 5522 
 
 5539 
 
 5557 
 
 5574 
 
 5592 
 
 5609 
 
 47 
 
 12 
 
 1726 
 
 1743 
 
 1760 
 
 1777 
 
 i794|i8io 
 
 47 
 
 i3 
 
 5627 
 
 5644 
 
 5662 
 
 5679 
 
 5697 
 
 5714 
 
 46 
 
 i3 
 
 1827 
 
 1 844 
 
 1861 
 
 1878 
 
 1895 1912 
 
 46 
 
 i4 
 
 5732 
 
 5749 
 
 5767 
 
 5784 
 
 58o2 
 
 5819 
 
 45 
 
 i4 
 
 1929 
 
 1946 
 
 1963 
 
 1980 
 
 1996 
 
 20l3 
 
 45 
 
 i5 
 
 5837 
 
 5855 
 
 5872 
 
 5890 
 
 5907 
 
 5925 
 
 44 
 
 i5 
 
 2o3o 
 
 2047 
 
 2064 
 
 2081 
 
 2098 
 
 21x5 
 
 44 
 
 i6 
 
 5942 
 
 5960 
 
 5977 
 
 5995 
 
 6012 
 
 6o3o 
 
 43 
 
 16 
 
 2l32 
 
 2149 
 
 2i65 
 
 2182 
 
 2199 
 
 22X6 
 
 43 
 
 I? 
 
 6047 
 
 6o65 
 
 6082 
 
 6099 
 
 61 17 
 
 6i34 
 
 42 
 
 17 
 
 2233 
 
 225o 
 
 2267 
 
 2284 
 
 23oo 
 
 23x7 
 
 42 
 
 i8 
 
 6x52 
 
 6169 
 
 6187 
 
 6204 
 
 6222 
 
 6239 
 
 4i 
 
 18 
 
 2334 
 
 235i 
 
 2368 
 
 2385 
 
 2402 
 
 2419 
 
 4i 
 
 '9 
 
 6257 
 
 6274 
 
 6292 
 
 63o9 
 
 6327 
 
 6344 
 
 4o 
 
 19 
 
 2435 
 
 2452 
 
 2469 
 
 2486 
 
 25o3 
 
 2520 
 
 4o 
 
 20 
 
 9.886362 
 
 6379 
 
 6396 
 
 64i4 
 
 643i 
 
 6449 
 
 39 
 
 20 
 
 9.892536 
 
 2553 
 
 2570 
 
 2587 
 
 2604 2621 
 
 39 
 
 21 
 
 6466 
 
 6484 
 
 65oi 
 
 65i9 
 
 6536 
 
 6554 
 
 38 
 
 21 
 
 2638 
 
 2654 
 
 267-1 
 
 2688 
 
 2705 2722 
 
 38 
 
 22 
 
 6571 
 
 6588 
 
 6606 
 
 6623 
 
 664i 
 
 6658 
 
 37 
 
 22 
 
 2739 
 
 2755 
 
 2772 
 
 2789 
 
 2806 
 
 2823 
 
 37 
 
 23 
 
 6676 
 
 6693 
 
 6710 
 
 6728 
 
 6745 
 
 6763 
 
 36 
 
 23 
 
 2839 
 
 2856 
 
 2873 
 
 2890 
 
 2907 
 
 2924 
 
 36 
 
 24 
 
 6780 
 
 6798 
 
 68i5 
 
 6832 
 
 685o 
 
 6867 
 
 35 
 
 24 
 
 2940 
 
 2957 
 
 2974 
 
 2991 
 
 3oo8 
 
 3o24 
 
 35 
 
 25 
 
 6885 
 
 6902 
 
 6919 
 
 6937 
 
 6954 
 
 6972 
 
 34 
 
 25 
 
 3o4i 
 
 3o58 
 
 3075 
 
 3092 
 
 3io8 
 
 3i25 
 
 34 
 
 26 
 
 6989 
 
 7006 
 
 7024 
 
 7o4i 
 
 7059 
 
 7076 
 
 33 
 
 26 
 
 3l42 
 
 3i59 
 
 3176 
 
 3192 
 
 3209 
 
 3226 
 
 33 
 
 27 
 
 7093 
 
 7111 
 
 7128 
 
 7i46 
 
 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 
 
 7319 
 
 7337 
 
 7354 
 
 7371 
 
 7389 
 
 3o 
 
 29 
 
 3444 
 
 3461 
 
 3477 
 
 3494 
 
 35x1 
 
 3528 
 
 3o 
 
 3o 
 
 9.887406 
 
 7423 
 
 7441 
 
 7458 
 
 7475 
 
 7493 
 
 29 
 
 3o 
 
 9.893544 
 
 356i 
 
 3578 
 
 3595 
 
 36ii 
 
 3628 
 
 29 
 
 3i 
 
 75io 
 
 7528 
 
 7545 
 
 7562 
 
 758o 
 
 7597 
 
 28 
 
 3i 
 
 3645 
 
 3662 
 
 3678 
 
 3695 
 
 3712 
 
 3728 
 
 28 
 
 32 
 
 7614 
 
 7632 
 
 7649 
 
 7666 
 
 7684 
 
 7701 
 
 27 
 
 32 
 
 3745 
 
 3762 
 
 3779 
 
 3795 
 
 38i2 
 
 3829 
 
 27 
 
 33 
 
 7718 
 
 7736 
 
 7753 
 
 7770 
 
 7787 
 
 7805 
 
 26 
 
 33 
 
 3846 
 
 3862 
 
 3879 
 
 3896 
 
 3912 
 
 3929 
 
 26 
 
 34 
 
 7822 
 
 7839 
 
 7857 
 
 7874 
 
 7891 
 
 7909 
 
 25 
 
 34 
 
 3946 
 
 3963 
 
 3979 
 
 3996 
 
 4oi3 4029 
 
 25 
 
 35 
 
 7926 
 
 7943 
 
 7961 
 
 7978 
 
 7995 
 
 8012 
 
 24 
 
 35 
 
 4o46 
 
 4o63 
 
 4079 
 
 4096 
 
 4ii3 
 
 4x3o 
 
 24 
 
 36 
 
 8o3o 
 
 8047 
 
 8064 
 
 8082 
 
 8099 
 
 8116 
 
 23 
 
 36 
 
 4i46 
 
 4i63 
 
 4i8o 
 
 4196 
 
 42i3 
 
 423o 
 
 23 
 
 37 
 
 8i34 
 
 8i5i 
 
 8168 
 
 8i85 
 
 8203 
 
 8220 
 
 22 
 
 37 
 
 4246 
 
 4263 
 
 4280 
 
 4296 
 
 43x3 
 
 433o 
 
 22 
 
 38 
 
 8237 
 
 8254 
 
 8272 
 
 8289 
 
 83o6 
 
 8324 
 
 21 
 
 38 
 
 4346 
 
 4363 
 
 438o 
 
 4396 
 
 44i3|443o 
 
 21 
 
 39 
 
 834i 
 
 8358 
 
 8375 
 
 8393 
 
 84io 
 
 8427 
 
 20 
 
 39 
 
 4446 
 
 4463 
 
 4480 
 
 4496 
 
 45i3453o 
 
 20 
 
 4o 
 
 9.888444 
 
 8462 
 
 8479 
 
 8496 
 
 85i3 
 
 853i 
 
 19 
 
 4o 
 
 9.894546 
 
 4563 
 
 458o 
 
 4596 
 
 46x3 4629 
 
 19 
 
 4i 
 
 8548 
 
 8565 
 
 8582 
 
 8600 
 
 8617 
 
 8634 
 
 18 
 
 4i 
 
 4646 
 
 4663 
 
 4679 
 
 4696 
 
 47134729 
 
 18 
 
 42 
 
 865i 
 
 8669 
 
 8686 
 
 8703 
 
 8720 
 
 8737 
 
 17 
 
 42 
 
 4746 
 
 4763 
 
 4779 
 
 4796 
 
 4812 
 
 4829 
 
 17 
 
 43 
 
 8755 
 
 8772 
 
 8789 
 
 8806 
 
 8824 
 
 884i 
 
 16 
 
 43 
 
 4846 
 
 4862 
 
 4879 
 
 4896 
 
 4912 
 
 4929 
 
 16 
 
 44 
 
 8858 
 
 8875 
 
 8892 
 
 8910 
 
 8927 
 
 8944 
 
 i5 
 
 44 
 
 4945 
 
 4962 
 
 4979 
 
 4995 
 
 5oi2 
 
 5o28 
 
 i5 
 
 45 
 
 8961 
 
 8978 
 
 8996 
 
 9013 
 
 9o3o 
 
 9047 
 
 i4 
 
 45 
 
 5o45 
 
 5o62 
 
 5078 
 
 5095 
 
 5i X 1 
 
 5x28 
 
 i4 
 
 46 
 
 9064 
 
 9082 
 
 9099 
 
 9116 
 
 9133 
 
 9i5o 
 
 i3 
 
 46 
 
 5i45 
 
 5i6i 
 
 5178 
 
 5194 
 
 521 1 
 
 5227 
 
 i3 
 
 47 
 
 916S 
 
 9185 
 
 9202 
 
 92'9 
 
 92 36 
 
 9253 
 
 12 
 
 47 
 
 5244 
 
 5261 
 
 5277 
 
 5294 
 
 53io 5327 
 
 12 
 
 48 
 
 9271 
 
 9288 
 
 93o5 
 
 9322 
 
 9339 
 
 9356 
 
 11 
 
 48 
 
 5343 
 
 536o 
 
 5377 
 
 5393 
 
 54ioi5426 
 
 IX 
 
 49 
 
 9374 
 
 9391 
 
 9408 
 
 9425 
 
 9442 
 
 9459 
 
 10 
 
 49 
 
 5443 
 
 5459 
 
 5476 
 
 5493 
 
 5509 
 
 5526 
 
 10 
 
 5o 
 
 9.889477 
 
 9494 
 
 95i I 
 
 9528 
 
 9545 
 
 9562 
 
 9 
 
 5o 
 
 9.895542 
 
 5559 
 
 5575 
 
 5592 
 
 56o8 
 
 5625 
 
 9 
 
 5i 
 
 9579 
 
 9597 
 
 9614 
 
 963i 
 
 9648 
 
 9665 
 
 8 
 
 5i 
 
 564i 
 
 5658 
 
 5675 
 
 5691 
 
 5708 
 
 5724 
 
 8 
 
 52 
 
 9682 
 
 9699 
 
 9716 
 
 9734 
 
 975i 
 
 9768 
 
 7 
 
 52 
 
 5741 
 
 5757 
 
 5774 
 
 5790 
 
 5807 
 
 5823 
 
 7 
 
 53 
 
 9785 
 
 9802 
 
 9819 
 
 9836 
 
 9853 
 
 9871 
 
 6 
 
 53 
 
 584o 
 
 5856 
 
 5873 
 
 5889 
 
 5906 
 
 5922 
 
 6 
 
 54 
 
 9888 
 
 9905 
 
 9922 
 
 9939 
 
 9956 
 
 9973 
 
 5 
 
 54 
 
 5939 
 
 5955 
 
 5972 
 
 5988 
 
 6oo5 
 
 6021 
 
 5 
 
 55 
 
 9990 
 
 ...7 
 
 ..25 
 
 ..42 
 
 ..59 
 
 ..76 
 
 4 
 
 55 
 
 6o38 
 
 6o54 
 
 6071 
 
 6087 
 
 6io4 
 
 6120 
 
 4 
 
 56 
 
 9.890093 
 
 01 10 
 
 0127 
 
 oi44 
 
 0161 
 
 0178 
 
 3 
 
 56 
 
 6137 
 
 6i53 
 
 6170 
 
 6186 
 
 6203 
 
 62x9 
 
 3 
 
 57 
 
 c 
 
 0195 
 
 0212 
 
 O23o 
 
 0247 
 
 0264 
 
 0281 
 
 2 
 
 57 
 
 6236 
 
 6252 
 
 6269 
 
 6285 
 
 63o2 
 
 63x8 
 
 2 
 
 58 
 
 0298 
 
 o3i5 
 
 o332 
 
 0349 
 
 o366 
 
 o383 
 
 I 
 
 58 
 
 6335 
 
 635i 
 
 6368 
 
 6384 
 
 64oo 
 
 6417 
 
 I 
 
 59 
 
 o4oo 
 
 o4i7 
 
 0434 
 
 o45i 
 
 o468 
 
 o486 
 
 
 
 59 
 
 6433 
 
 645o 
 
 6466 
 
 6483 
 
 6499 
 
 65i6 
 
 
 
 
 00" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 10" 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 Co-sine of 39 Degrees. 
 
 Co-sine of 38 Degrees. 
 
 P.l 
 
 , ^ 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 ■"■' rJ 3 5 7 9 10 13 14 16 
 
 p p Al" 2" 3" 4" 5" 6" 7" 8" 9" 
 ^-'^^^^ 12 3 5 7 8 10 12 13 15 
 

 
 
 
 LOGAKITHMIC TaNGENTS. 
 
 
 
 
 
 75 
 
 
 Tangent of 50 Degrees. 
 
 
 d 
 
 iS 
 
 Tangent of 51 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 o 
 
 10.076186 
 
 6229 
 
 6272 
 
 63i5 
 
 6358 
 
 64oo 
 
 59 
 
 
 
 10.091631 
 
 1674 
 
 1717 
 
 1760 
 
 i8o3 
 
 1846 
 
 59 
 
 I 
 
 6443 
 
 6486 
 
 6529 
 
 6571 
 
 66i4 
 
 6657 
 
 58 
 
 I 
 
 1889 
 
 1932 
 
 1975 
 
 2018 
 
 2061 
 
 2104 
 
 58 
 
 2 
 
 6700 
 
 6742 
 
 6785 
 
 6828 
 
 6871 
 
 6913 
 
 57 
 
 2 
 
 2147 
 
 2191 
 
 2234 
 
 2277 
 
 2320 
 
 2363 
 
 57 
 
 3 
 
 6956 
 
 6999 
 
 7042 
 
 7085 
 
 7127 
 
 7170 
 
 56 
 
 3 
 
 2406 
 
 2449 
 
 2492 
 
 2535 
 
 2578 
 
 2621 
 
 56 
 
 4 
 
 72 1 3 
 
 7256 
 
 7298 
 
 7341 
 
 7384 
 
 7427 
 
 55 
 
 4 
 
 2664 
 
 2707 
 
 2750 
 
 2793 
 
 2837 
 
 2880 
 
 55 
 
 5 
 
 7470 
 
 7512 
 
 7555 
 
 7598 
 
 7641 
 
 7684 
 
 54 
 
 5 
 
 2923 
 
 2966 
 
 3009 
 
 3o52 
 
 3095 
 
 3i38 
 
 54 
 
 6 
 
 7726 
 
 7769 
 
 7812 
 
 7855 
 
 7897 
 
 7940 
 
 53 
 
 6 
 
 3i8i 
 
 3224 
 
 3267 
 
 33io 
 
 3354 
 
 3397 
 
 53 
 
 7 
 
 7983 
 
 8026 
 
 8069 
 
 81H 
 
 8i54 
 
 8197 
 
 52 
 
 7 
 
 3440 
 
 3483 
 
 3526 
 
 3569 
 
 36i2 
 
 3655 
 
 52 
 
 8 
 
 8240 
 
 8283 
 
 8325 
 
 8368 
 
 84ii 
 
 8454 
 
 5i 
 
 8 
 
 3698 
 
 3741 
 
 3784 
 
 3828 
 
 3871 
 
 3914 
 
 5i 
 
 9 
 
 8497 
 
 8539 
 
 8582 
 
 8625 
 
 8668 
 
 8711 
 
 5o 
 
 9 
 
 3957 
 
 4ooo 
 
 4o43 
 
 4086 
 
 4129 
 
 4172 
 
 5o 
 
 lO 
 
 10.078753 
 
 8796 
 
 8839 
 
 8882 
 
 8925 
 
 8967 
 
 49 
 
 10 
 
 10.094215 
 
 4259 
 
 43o2 
 
 4345 
 
 4388 
 
 443i 
 
 49 
 
 1 1 
 
 9010 
 
 9053 
 
 9096 
 
 9139 
 
 9181 
 
 9224 
 
 48 
 
 1 1 
 
 4474 
 
 45i7 
 
 456o 
 
 46o3 
 
 4647 
 
 4690 
 
 48 
 
 12 
 
 9267 
 
 9310 
 
 9353 
 
 9396 
 
 9438 
 
 9481 
 
 47 
 
 12 
 
 4733 
 
 4776 
 
 4819 
 
 4862 
 
 4905 
 
 4948 
 
 47 
 
 i3 
 
 9524 
 
 9567 
 
 9610 
 
 9652 
 
 9695 
 
 9738 
 
 46 
 
 i3 
 
 4992 
 
 5o35 
 
 5078 
 
 5l21 
 
 5i64 
 
 5207 
 
 46 
 
 i4 
 
 9781 
 
 9824 
 
 9867 
 
 9909 
 
 9952 
 
 9995 
 
 45 
 
 i4 
 
 525o 
 
 5293 
 
 5337 
 
 538o 
 
 5423 
 
 5466 
 
 45 
 
 i5 
 
 io.o8oo38 
 
 0081 
 
 0124 
 
 0166 
 
 0209 
 
 0252 
 
 44 
 
 i5 
 
 5509 
 
 5552 
 
 5595 
 
 5638 
 
 5682 
 
 5725 
 
 44 
 
 i6 
 
 0295 
 
 o338 
 
 o38i 
 
 o423 
 
 o466 
 
 o5o9 
 
 43 
 
 16 
 
 5768 
 
 58ii 
 
 5854 
 
 5897 
 
 5940 
 
 5984 
 
 43 
 
 17 
 
 o552 
 
 0595 
 
 o638 
 
 0680 
 
 0723 
 
 0766 
 
 42 
 
 17 
 
 6027 
 
 6070 
 
 6ii3 
 
 6i56 
 
 6199 
 
 6242 
 
 42 
 
 t8 
 
 0809 
 
 o852 
 
 0895 
 
 0937 
 
 0980 
 
 1023 
 
 4i 
 
 18 
 
 6286 
 
 6329 
 
 6372 
 
 64i5 
 
 6458 
 
 65oi 
 
 4i 
 
 19 
 
 1066 
 
 1 109 
 
 I l52 
 
 II95 
 
 1237 
 
 1280 
 
 40 
 
 19 
 
 6544 
 
 6588 
 
 663i 
 
 6674 
 
 6717 
 
 6760 
 
 4o 
 
 20 
 
 1 0.08 1 323 
 
 1 366 
 
 1409 
 
 i452 
 
 1494 
 
 1537 
 
 39 
 
 20 
 
 10.096803 
 
 6847 
 
 6890 
 
 6933 
 
 6976 
 
 7019 
 
 39 
 
 21 
 
 i58o 
 
 1623 
 
 1666 
 
 1709 
 
 1752 
 
 1794 
 
 38 
 
 21 
 
 7062 
 
 7106 
 
 7149 
 
 7192 
 
 7235 
 
 727b 
 
 38 
 
 22 
 
 1837 
 
 1880 
 
 1923 
 
 1966 
 
 2009 
 
 2o52 
 
 37 
 
 22 
 
 7321 
 
 7365 
 
 7408 
 
 745i 
 
 7494 
 
 7537 
 
 37 
 
 23 
 
 2094 
 
 2137 
 
 2180 
 
 222 3 
 
 2266 
 
 2309 
 
 36 
 
 23 
 
 7580 
 
 7624 
 
 7667 
 
 7710 
 
 7753 
 
 7796 
 
 36 
 
 24 
 
 2352 
 
 2395 
 
 2437 
 
 2480 
 
 2523 
 
 2566 
 
 35 
 
 24 
 
 7840 
 
 7883 
 
 7926 
 
 7969 
 
 8012 
 
 «o56 
 
 35 
 
 25 
 
 2609 
 
 2652 
 
 2695 
 
 2738 
 
 2780 
 
 2823 
 
 34 
 
 25 
 
 8099 
 
 8142 
 
 8i85 
 
 82 2» 
 
 8271 
 
 83i5 
 
 34 
 
 26 
 
 2866 
 
 2909 
 
 2952 
 
 2995 
 
 3o38 
 
 3o8i 
 
 33 
 
 26 
 
 8358 
 
 84oi 
 
 8444 
 
 8487 
 
 853i 
 
 8574 
 
 33 
 
 27 
 
 3i23 
 
 3i66 
 
 3209 
 
 3252 
 
 3295 
 
 3338 
 
 32 
 
 27 
 
 8617 
 
 8660 
 
 8703 
 
 8747 
 
 8790 
 
 8833 
 
 32 
 
 28 
 
 338i 
 
 3424 
 
 3467 
 
 3509 
 
 3552 
 
 3595 
 
 3i 
 
 28 
 
 8876 
 
 8919 
 
 8963 
 
 9006 
 
 9049 
 
 9092 
 
 3i 
 
 29 
 
 3638 
 
 368i 
 
 3724 
 
 3767 
 
 38io 
 
 3853 
 
 3o 
 
 29 
 
 9i36 
 
 9179 
 
 9222 
 
 9265 
 
 9308 
 
 9352 
 
 3o 
 
 3o 
 
 10.083896 
 
 3938 
 
 3981 
 
 4o24 
 
 4067 
 
 4i 10 
 
 29 
 
 3o 
 
 10,099395 
 
 9438 
 
 9481 
 
 9524 
 
 9568 
 
 9611 
 
 29 
 
 3i 
 
 4i53 
 
 4196 
 
 4239 
 
 4282 
 
 4325 
 
 4367 
 
 28 
 
 3i 
 
 9654 
 
 9697 
 
 9741 
 
 9784 
 
 9827 
 
 9870 
 
 28 
 
 32 
 
 44io 
 
 4453 
 
 4496 
 
 4539 
 
 4582 
 
 4625 
 
 27 
 
 32 
 
 9913 
 
 9957 
 
 • • • • 
 
 ..43 
 
 ..86 
 
 . i3o 
 
 27 
 
 33 
 
 4668 
 
 471 1 
 
 4754 
 
 4797 
 
 4839 
 
 4882 
 
 26 
 
 33 
 
 10. 100173 
 
 0216 
 
 0259 
 
 o3o3 
 
 o346 
 
 0389 
 
 26 
 
 34 
 
 4925 
 
 4968 
 
 5oi I 
 
 5o54 
 
 5097 
 
 5i4o 
 
 25 
 
 34 
 
 o432 
 
 0476 
 
 o5i9 
 
 o562 
 
 o6o5 
 
 0649 
 
 25 
 
 35 
 
 5i83 
 
 5226 
 
 5269 
 
 53i2 
 
 5355 
 
 5397 
 
 24 
 
 35 
 
 0692 
 
 0735 
 
 0778 
 
 0822 
 
 o865 
 
 0908 
 
 24 
 
 36 
 
 5440 
 
 5483 
 
 5526 
 
 5569 
 
 56i2 
 
 5655 
 
 23 
 
 36 
 
 0951 
 
 0995 
 
 io38 
 
 1081 
 
 1 124 
 
 1168 
 
 23 
 
 37 
 
 5698 
 
 5741 
 
 5784 
 
 5827 
 
 5870 
 
 5913 
 
 22 
 
 37 
 
 121 1 
 
 1254 
 
 1297 
 
 i34i 
 
 i384 
 
 1427 
 
 22 
 
 38 
 
 5956 
 
 5999 
 
 6o4i 
 
 6084 
 
 6127 
 
 6170 
 
 21 
 
 38 
 
 1470 
 
 i5i4 
 
 1557 
 
 1600 
 
 1643 
 
 1687 
 
 21 
 
 39 
 
 62i3 
 
 6256 
 
 6299 
 
 6342 
 
 6385 
 
 6428 
 
 20 
 
 39 
 
 1730 
 
 1773 
 
 1817 
 
 i860 
 
 1903 
 
 1946 
 
 20 
 
 4o 
 
 10.086471 
 
 65i4 
 
 6557 
 
 6600 
 
 6643 
 
 6686 
 
 19 
 
 40 
 
 10. 101990 
 
 2o33 
 
 2076 
 
 21 19 
 
 2i63 
 
 2206 
 
 19 
 
 4i 
 
 6729 
 
 6772 
 
 68i5 
 
 6857 
 
 6900 
 
 6943 
 
 18 
 
 4i 
 
 2249 
 
 2293 
 
 2336 
 
 2379 
 
 2422 
 
 2466 
 
 18 
 
 42 
 
 6986 
 
 7029 
 
 7072 
 
 71 15 
 
 7i58 
 
 7201 
 
 17 
 
 42 
 
 2509 
 
 2552 
 
 2596 
 
 2639 
 
 2682 
 
 2725 
 
 17 
 
 43 
 
 7244 
 
 7287 
 
 7330 
 
 7373 
 
 74i6 
 
 7459 
 
 16 
 
 43 
 
 2769 
 
 2812 
 
 2855 
 
 2899 
 
 2942 
 
 2985 
 
 16 
 
 44 
 
 7502 
 
 7545 
 
 7588 
 
 763i 
 
 7674 
 
 7717 
 
 i5 
 
 44 
 
 3029 
 
 3072 
 
 3ii5 
 
 3i58 
 
 3202 
 
 3245 
 
 i5 
 
 45 
 
 7760 
 
 7803 
 
 7846 
 
 7889 
 
 7932 
 
 7975 
 
 i4 
 
 45 
 
 3288 
 
 3332 
 
 3375 
 
 3418 
 
 3462 
 
 35o5 
 
 i4 
 
 46 
 
 8018 
 
 8061 
 
 8io4 
 
 8147 
 
 8190 
 
 8232 
 
 i3 
 
 46 
 
 3548 
 
 3592 
 
 3635 
 
 3678 
 
 3722 
 
 3765 
 
 i3 
 
 47 
 
 8375 
 
 83 1 8 
 
 836i 
 
 84o4 
 
 8447 
 
 8490 
 
 12 
 
 47 
 
 38o8 
 
 385i 
 
 3895 
 
 3938 
 
 3981 
 
 4o25 
 
 12 
 
 48 
 
 8533 
 
 8576 
 
 8619 
 
 8662 
 
 8705 
 
 8748 
 
 II 
 
 48 
 
 4068 
 
 4i 1 1 
 
 4i55 
 
 4198 
 
 4241 
 
 4285 
 
 1 1 
 
 49 
 
 8791 
 
 8834 
 
 8877 
 
 8920 
 
 8963 
 
 9006 
 
 10 
 
 49 
 
 4328 
 
 4371 
 
 44i5 
 
 4458 
 
 45oi 
 
 4545 
 
 10 
 
 5o 
 
 10.089049 
 
 9092 
 
 9135 
 
 9178 
 
 9221 
 
 9264 
 
 9 
 
 5o 
 
 I0.I04588 
 
 463i 
 
 4675 
 
 4718 
 
 4761 
 
 48o5 
 
 9 
 
 5i 
 
 9307 
 
 9350 
 
 9393 
 
 9436 
 
 9479 
 
 9522 
 
 8 
 
 5i 
 
 4848 
 
 4891 
 
 4935 
 
 4978 
 
 502I 
 
 5o65 
 
 8 
 
 52 
 
 9555 
 
 9608 
 
 9651 
 
 9694 
 
 9737 
 
 9780 
 
 7 
 
 52 
 
 5 108 
 
 5i52 
 
 5195 
 
 5238 
 
 5282 
 
 5325 
 
 7 
 
 53 
 
 9823 
 
 9866 
 
 9909 
 
 9952 
 
 9995 
 
 ..39 
 
 6 
 
 53 
 
 5368 
 
 5412 
 
 5455 
 
 5498 
 
 5542 
 
 5585 
 
 6 
 
 54 
 
 10.090082 
 
 0125 
 
 0168 
 
 021 1 
 
 0254 
 
 0297 
 
 5 
 
 54 
 
 5628 
 
 5672 
 
 5715 
 
 5759 
 
 58o2 
 
 5845 
 
 5 
 
 55 
 
 o34o 
 
 o383 
 
 0426 
 
 0469 
 
 o5i2 
 
 o555 
 
 4 
 
 55 
 
 5889 5932 
 
 5975 
 
 6079 
 
 6062 
 
 6106 
 
 4 
 
 56 
 
 0598 
 
 o64i 
 
 0684 
 
 0727 
 
 0770 
 
 o8i3 
 
 3 
 
 56 
 
 6149 6192 
 
 6236 
 
 6279 
 
 6322 
 
 6366 
 
 3 
 
 57 
 
 o856 
 
 0899 
 
 0942 
 
 0985 
 
 1028 
 
 1071 
 
 2 
 
 57 
 
 64096453 
 
 6496 
 
 6539 
 
 6583 
 
 6626 
 
 2 
 
 58 
 
 II i4 
 
 1 157 
 
 1200 
 
 1243 
 
 1286 1329 
 
 1 
 
 58 
 
 6669 
 
 6713 
 
 6756 
 
 6800 
 
 6843 
 
 6886 
 
 I 
 
 59 
 
 1372 
 
 i4i6 
 
 1459 
 
 l502 
 
 [545 i588 
 
 
 
 59 
 
 6930 
 
 6973 
 
 7017 
 
 7060 
 
 7io3 
 
 7147 
 
 
 
 60" 
 
 50" 1 40" 
 
 30" 
 
 20" 1 10" 
 
 ^ 
 
 
 60" 
 
 50" 
 
 40" 
 
 .SO" 
 
 20" 
 
 10" 
 
 d 
 
 Co tangent of 39 D-'sxt'ees. 
 
 IS 
 
 Co-tangent of 38 Degrees. 
 
 P 
 
 j 1" 3" 3" 4" 5" 6" 7" 8" 9" p 
 • *^^" 1 4 9 13 17 21 29 30 34 39 
 
 p, Jl" 2" 3" 4" 5" 6" 7" 8" 
 •^"'^H 9 13 17 23 26 30 35 i 
 
 9" 
 59 
 
76 
 
 Logarithmic Sines. 
 
 d 
 
 iS 
 
 Sine of 52 Degrees. 
 
 
 s 
 
 bine of 53 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 1 
 
 0" 
 
 10" 
 
 20" 30" 
 
 40" t 
 
 50" 
 
 o 
 
 9.896532 
 
 6549 
 
 6565 
 
 658x 
 
 6598 
 
 66x4 59 
 
 
 
 9.902349 
 
 2364 
 
 23802396 
 
 24X2 
 
 2428 
 
 59 
 
 I 
 
 663i 
 
 6647 
 
 6664 
 
 6680 
 
 6697 
 
 67x358 
 
 X 
 
 2444 
 
 2460 
 
 2475 
 
 2491 
 
 2507 
 
 2523 
 
 58 
 
 2 
 
 6729 
 
 6746 
 
 6762 
 
 6779 
 
 6795 
 
 68x2 57 
 
 2 
 
 2539 
 
 2555 
 
 257X 
 
 2586 
 
 2602 
 
 26x8 
 
 5? 
 
 3 
 
 6828 
 
 6844 
 
 6861 
 
 6877 
 
 6894 
 
 6910 56 
 
 3 
 
 2634 
 
 265o 
 
 2666 
 
 2681 
 
 2697 
 
 2713 
 
 56 
 
 4 
 
 6926 
 
 6943 
 
 6959 
 
 6976 
 
 6992 
 
 7009'55 
 
 4 
 
 2729 
 
 2745 
 
 2761 
 
 2776 
 
 2792 
 
 2808 
 
 55 
 
 5 
 
 7025 
 
 7041 
 
 7o58 
 
 7074 
 
 7090 
 
 7x07 54 
 
 5 
 
 2824 
 
 2840 
 
 2856 
 
 287X 
 
 2887 
 
 2903 
 
 54 
 
 6 
 
 7123 
 
 7140 
 
 7x56 
 
 7x72 
 
 7x89 
 
 720553 
 
 6 
 
 29x9 
 
 2935 
 
 2950 
 
 2966 
 
 2982 
 
 2998 
 
 53 
 
 7 
 
 7222, 
 
 7238 
 
 7254 
 
 7271 
 
 7287 
 
 73o352 
 
 7 
 
 3ox4 
 
 3029 
 
 3o45 
 
 3o6i 
 
 3077 
 
 3093 
 
 52 
 
 8 
 
 732o| 
 
 7336 
 
 7353 
 
 7369 
 
 7385 
 
 7402 5x 
 
 8 
 
 3io8 
 
 3x24 
 
 3x4o 
 
 3x56 
 
 3x71 
 
 3187 
 
 5i 
 
 9 
 
 74i8| 
 
 7434 
 
 745i 
 
 7467 
 
 7483 
 
 75oo'5o 
 
 9 
 
 32o3 
 
 32x9 
 
 3235 
 
 325o 
 
 3266 
 
 3282 
 
 5o 
 
 10 
 
 9.897516 
 
 7533 
 
 7549 
 
 7565 
 
 7582 
 
 759849 
 
 10 
 
 9.903298 
 
 33i3 
 
 3329 
 
 3345 
 
 336i 
 
 3377 
 
 49 
 
 II 
 
 7614 
 
 763i 
 
 7647 
 
 7663 
 
 7680 
 
 7696148 
 
 XX 
 
 3392 
 
 3408 
 
 3424 
 
 3440 
 
 3455 
 
 3471 
 
 48 
 
 12 
 
 7712 
 
 7729 
 
 7745 
 
 7761 
 
 7778 
 
 7794 
 
 47 
 
 12 
 
 3487 
 
 35o3 
 
 35x8 
 
 3534 
 
 355o 
 
 3566 
 
 47 
 
 i3 
 
 7810 
 
 7827 
 
 7843 
 
 7859 
 
 7876 
 
 7892 
 
 46 x3 
 
 358i 
 
 3597 
 
 36x3 
 
 3629 
 
 3644 
 
 366o 
 
 46 
 
 i4 
 
 7908 
 
 7924 
 
 7941 
 
 7957 
 
 7973 
 
 7990 
 
 45i:x4 
 
 3676 
 
 3691 
 
 3707 
 
 3723 
 
 3739 
 
 3754 
 
 45 
 
 i5 
 
 8006 
 
 8022 
 
 8039 
 
 8o55 
 
 8071 
 
 8088^ 
 
 44l;i5 
 
 3770 
 
 3786 
 
 38o2 
 
 3817 
 
 3833 
 
 3849 
 
 44 
 
 i6 
 
 8io4, 
 
 8120 
 
 8x36 
 
 8x53 
 
 8169 
 
 8x85' 
 
 43!;x6 
 
 3864 
 
 388o 
 
 3896 
 
 39x2 
 
 3927 
 
 3g43 
 
 43 
 
 I? 
 
 8202 
 
 8218 
 
 8234 
 
 825o 
 
 8267 
 
 8283 
 
 42 
 
 17 
 
 3g59 
 
 3974 
 
 3990 
 
 4oo6 
 
 402I 
 
 4o37 
 
 42 
 
 i8 
 
 8299 
 
 83x5 
 
 8332 
 
 8348 
 
 8364 
 
 838x 
 
 4i 
 
 x8 
 
 4o53 
 
 4069 4o84 
 
 4xoo 
 
 4ix6 
 
 4x3i 
 
 4i 
 
 ^9 
 
 8397 
 
 84i3 
 
 8429 
 
 8446 
 
 8462 
 
 8478 
 
 4o 
 
 19 
 
 4i47 
 
 4x634178 
 
 4194 
 
 42x0 
 
 4225 
 
 4o 
 
 20 
 
 9.898494 
 
 85xx 
 
 8527 
 
 8543 
 
 8559 
 
 8576 
 
 39 
 
 20 
 
 g. 904241 
 
 4257 
 
 4272 
 
 4288 
 
 43o4 
 
 43xg 
 
 39 
 
 21 
 
 8592, 
 
 8608 
 
 8624 
 
 864i 
 
 8657 
 
 8673 
 
 38 
 
 21 
 
 4335 
 
 435i 
 
 4366 
 
 4382 
 
 4398 
 
 44x3 
 
 38 
 
 22 
 
 8689 
 
 8706 
 
 8722 
 
 8738 
 
 8754 
 
 8770 
 
 37 
 
 22 
 
 4429 
 
 4445 
 
 4460 
 
 4476 
 
 4492 
 
 4507 
 
 37 
 
 23 
 
 8787 
 
 88o3 
 
 88x9 
 
 8835 
 
 8852 
 
 8868 
 
 36 
 
 23 
 
 4523 
 
 453g 
 
 4554 
 
 4570 
 
 4586 
 
 46oi 
 
 36 
 
 24 
 
 8S84 
 
 8000 
 
 8916 
 
 8933 
 
 8949 
 
 8965 
 
 35 
 
 24 
 
 46x7 
 
 4632 
 
 4648 
 
 4664 
 
 4679 
 
 4695 
 
 35 
 
 25 
 
 8981:8997 
 
 90x4 
 
 9o3o 
 
 9046 
 
 9062 
 
 34 
 
 25 
 
 4711 
 
 4726 
 
 4742 
 
 4757 
 
 4773 
 
 4789 
 
 34 
 
 26 
 
 9078 9095 
 
 gixi 
 
 9x27 
 
 9143 
 
 9x59 
 
 33 
 
 26 
 
 48o4 
 
 4820 
 
 4836 
 
 485x 
 
 4867 
 
 4882 
 
 33 
 
 27 
 
 9176 9192 
 
 9208 
 
 9224 
 
 9240 
 
 9256 
 
 32 
 
 27 
 
 4898 
 
 4914 
 
 4929 
 
 4945 
 
 4960 
 
 4976 
 
 32 
 
 28 
 
 9273 g28g 
 
 93o5 
 
 9321 
 
 9337 
 
 9354 
 
 3x 
 
 28 
 
 4992 
 
 5007 
 
 5o23 
 
 5o38 
 
 5o54 
 
 5070 
 
 3i 
 
 29 
 
 9370 
 
 9386 
 
 9402 
 
 9418 
 
 9434 
 
 9450 
 
 3o 
 
 29 
 
 5o85 
 
 5xox 
 
 5xx6 
 
 5x32 
 
 5x48 
 
 5x63 
 
 3o 
 
 3o 
 
 9-899467 
 
 9483 
 
 9499 
 
 95x5 
 
 953x 
 
 9547 
 
 29 
 
 3o 
 
 9.905x79 
 
 5x94 
 
 52X0 
 
 5225 
 
 524i 
 
 5257 
 
 29 
 
 3i 
 
 9564 
 
 9580 
 
 9596 
 
 96x2 
 
 9628 
 
 9644 
 
 28 
 
 3x 
 
 5272 
 
 5288 
 
 53o3 
 
 53x9 
 
 5334 
 
 535o 
 
 28 
 
 32 
 
 9660 
 
 9677 
 
 9693 
 
 9709 
 
 9725 
 
 9741 
 
 27 
 
 32 
 
 5366 
 
 538x 
 
 5397 
 
 5412 
 
 5428 
 
 5443 
 
 27 
 
 33 
 
 9757 
 
 9773 
 
 9789 
 
 9806 
 
 9822 
 
 9838 
 
 26 
 
 33 
 
 5459 
 
 5474 
 
 5490 
 
 55o6 
 
 5521 
 
 5537 
 
 26 
 
 34 
 
 9854 
 
 9870 
 
 9886 
 
 9902 
 
 99x8 
 
 9935 
 
 25 
 
 34 
 
 5552 
 
 5568 
 
 5583 
 
 55g9 
 
 56x4 
 
 563o 
 
 25 
 
 35 
 
 9951 
 
 9967 
 
 9983 
 
 9999 
 
 ..x5 
 
 ..3i 
 
 24 
 
 35 
 
 5645 
 
 566x 
 
 5676 
 
 5692 
 
 5708 
 
 5723 
 
 24 
 
 36 
 
 9.900047 
 
 oo63 
 
 0079 
 
 0096 
 
 0XX2 
 
 0x28 
 
 23 
 
 36 
 
 5739 
 
 5754 
 
 5770 
 
 5785 
 
 58oi 
 
 58i6 
 
 23 
 
 37 
 
 oi44 
 
 0160 
 
 0x76 
 
 0192 
 
 0208 
 
 0224 
 
 22 
 
 37 
 
 5832 
 
 5847 
 
 5863 
 
 5878 
 
 58g4 
 
 5909 
 
 22 
 
 38 
 
 0240 
 
 0256 
 
 0272 
 
 0289 
 
 o3o5 
 
 032X 
 
 21 
 
 38 
 
 5925 
 
 5940 
 
 5g56 
 
 5971 
 
 5987 
 
 6002 
 
 21 
 
 39 
 
 0337 
 
 o353 
 
 0369 
 
 o385 
 
 o4oi 
 
 o4i7 
 
 20 
 
 39 
 
 60x8 
 
 6o33 
 
 6049 
 
 6064 
 
 6080 
 
 6og5 
 
 20 
 
 4o 
 
 9.900433 
 
 0449 
 
 o465 
 
 0481 
 
 0497 
 
 o5x3 
 
 19 
 
 40 
 
 9.906x1 1 
 
 6126 
 
 6x42 
 
 6x57 
 
 6x73 
 
 6x88 
 
 19 
 
 4i 
 
 0529 
 
 o545 
 
 o562 
 
 0578 
 
 0594 
 
 0610 
 
 x8 
 
 4i 
 
 6204 
 
 6219 
 
 6235 
 
 625o 
 
 6265 
 
 6281 
 
 18 
 
 42 
 
 0626 
 
 0642 
 
 o658 
 
 0674 
 
 0690 
 
 0706 
 
 17 
 
 42 
 
 6296 
 
 63x2 
 
 6327 
 
 6343 
 
 6358 
 
 6374 
 
 17 
 
 43 
 
 0722 
 
 0738 
 
 0754 
 
 0770 
 
 0786 
 
 0802 
 
 16 
 
 43 
 
 6389 
 
 64o5 
 
 6420 
 
 6436 
 
 645x 
 
 6466 
 
 x6 
 
 44 
 
 0818 
 
 o834 
 
 o85o 
 
 0866 
 
 0882 
 
 0898 
 
 i5 
 
 44 
 
 6482 
 
 6497 
 
 65x3 
 
 6528 
 
 6544 
 
 6559 
 
 x5 
 
 45 
 
 0914 
 
 0930 
 
 0946 
 
 0962 
 
 0978 
 
 0994 
 
 i4 
 
 45 
 
 6575 
 
 65go 
 
 66o5 
 
 6621 
 
 6636 
 
 6652 
 
 14 
 
 46 
 
 lOIO 
 
 X026 
 
 1042 
 
 xo58 
 
 1074 
 
 X090 
 
 i3 
 
 :46 
 
 6667 
 
 6683 
 
 6698 
 
 67x3 
 
 6729 
 
 6744 
 
 i3 
 
 47 
 
 1 106 
 
 X X22 
 
 xi38 
 
 1x54 
 
 I X70 
 
 xx86 
 
 12 
 
 47 
 
 6760 
 
 6775 
 
 6791 
 
 6806 
 
 682X 
 
 6837 
 
 12 
 
 48 
 
 1202 
 
 12X8 
 
 X234 
 
 X25o 
 
 1266 
 
 X282 
 
 1 1 
 
 48 
 
 6852 
 
 6868 
 
 6883 
 
 6898 
 
 6914 
 
 6929 
 
 X I 
 
 49 
 
 1298 
 
 i3x4 
 
 x33o 
 
 x346 
 
 x362 
 
 1378 
 
 xo 
 
 49 
 
 6945 
 
 6g6o 
 
 6975 
 
 699' 
 
 7006 
 
 7022 
 
 10 
 
 5o 
 
 9.901394 
 
 'i4io 
 
 1426 
 
 1442 
 
 x458 
 
 1474 
 
 9 
 
 5o 
 
 9.90703717052 
 
 7068 
 
 7083 
 
 7099 
 
 7114 
 
 9 
 
 5i 
 
 1490 
 
 'x5o5 
 
 X52X 
 
 x537 
 
 t553 
 
 x569 
 
 8 
 
 5i 
 
 7x29 7145 7160 
 
 7x75 
 
 7x91 
 
 7206 
 
 8 
 
 52 
 
 i5S5 
 
 x6oi 
 
 1617 
 
 i633 
 
 1649 
 
 x665 
 
 7 
 
 52 
 
 7222 
 
 7237 
 
 7252 
 
 7268 
 
 7283 
 
 7298 
 
 7 
 
 53 
 
 1681 
 
 X697 
 
 17x3 
 
 1729 
 
 1745 
 
 X760 
 
 6 
 
 53 
 
 73x4 
 
 7329 
 
 7344 
 
 7360 
 
 7375 
 
 7391 
 
 6 
 
 54 
 
 1776 
 
 X792 
 
 x8o8 
 
 X824 
 
 i84o 
 
 x856 
 
 5 
 
 54 
 
 7406 
 
 7421 
 
 7437 
 
 7452 
 
 7467 
 
 7483 
 
 5 
 
 55 
 
 1872 
 
 x888 
 
 1904 
 
 X920 
 
 X936 
 
 xgSi 
 
 4 
 
 55 
 
 7498 
 
 75137529 
 
 7544 
 
 7559 
 
 7575 
 
 4 
 
 56 
 
 1967 
 
 X983 
 
 X999 
 
 20X5 
 
 2o3x 
 
 2047 
 
 3 
 
 56 
 
 7590 
 
 760517621 
 
 7636 
 
 765i 
 
 7667 
 
 3 
 
 57 
 
 2o63 
 
 2079 
 
 2095 
 
 2X 10 
 
 2x26 
 
 2X42 
 
 2 
 
 57 
 
 7682 
 
 7697j77x3 
 
 7728 
 
 7743 
 
 7759 
 
 2 
 
 58 
 
 2x58 2174 
 
 2x90 
 
 2206 
 
 2222 
 
 2238 
 
 X 
 
 58 
 
 7774 
 
 778917805 
 
 7820 
 
 7835 
 
 785i 
 
 X 
 
 59 
 
 2253 2269 
 
 2285 
 
 23ox 
 
 23X7 
 
 2333 
 
 
 
 - d 
 S 
 
 59 
 
 7866 
 
 788X 7896 
 
 7912 
 30" 
 
 7927 
 20' 
 
 7942 
 
 
 
 
 60" 1 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 60" 
 
 50" 1 40" 
 
 10" 
 
 . d 
 
 Co-sine of 37 Degrees. 
 
 Co-sine of 36 Degrees. 
 
 „ „ J 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 '^•^^"'2 3 5 6 8 10 11 13 15 
 
 „„ Jl" 2" 3" 4" 5" 6" 7" 8" 9" 
 ^•^^'■^12 3 5 6 8 9 11 12 14 
 

 
 
 
 Logarithmic ' 
 
 r A N G E N T S. 
 
 
 
 
 
 71 
 
 r^ 
 
 Tangent of 52 Degrees. 
 
 
 S 
 
 Tangent of 53 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 
 
 10. 107190 
 
 7234 
 
 7277 
 
 7320 
 
 7364 
 
 7407 
 
 59 
 
 
 
 10. 122886 
 
 2929 
 
 2973 
 
 3017 
 
 3o6i 
 
 3io5 
 
 59 
 
 I 
 
 745. 
 
 7494 
 
 7537 
 
 758i 
 
 7624 
 
 7668 
 
 58 
 
 I 
 
 3i48 
 
 3192 
 
 3236 
 
 3280 
 
 3324 
 
 3368 
 
 58 
 
 o 
 
 7711 
 
 7754 
 
 7798 
 
 7841 
 
 7885 
 
 7928 
 
 57 
 
 2 
 
 34ii 
 
 3455 
 
 3499 
 
 3543 
 
 3587 
 
 363o 
 
 57 
 
 3 
 
 7972 
 
 8oi5 
 
 8o58 
 
 8102 
 
 8145 
 
 8189 
 
 56 
 
 3 
 
 3674 
 
 3718 
 
 3762 
 
 38o6 
 
 385o 
 
 3893 
 
 56 
 
 4 
 
 8232 
 
 8275 
 
 83i9 
 
 8362 
 
 84o6 
 
 8449 
 
 55 
 
 4 
 
 3937 
 
 3981 
 
 4o25 
 
 4069 
 
 4ii3 
 
 4i57 
 
 55 
 
 5 
 
 8493 
 
 8536 
 
 8579 
 
 8623 
 
 8666 
 
 8710 
 
 54 
 
 5 
 
 4200 
 
 4244 
 
 4288 
 
 4332 
 
 4376 
 
 4420 
 
 54 
 
 6 
 
 8753 
 
 8797 
 
 884o 
 
 8884 
 
 8927 
 
 8970 
 
 53 
 
 6 
 
 4463 
 
 4507 
 
 455i 
 
 4595 
 
 4639 
 
 4683 
 
 53 
 
 7 
 
 9014 
 
 9057 
 
 9101 
 
 9144 
 
 9188 
 
 9231 
 
 52 
 
 7 
 
 4727 
 
 4770 
 
 48i4 
 
 4858 
 
 4902 
 
 4946 
 
 52 
 
 8 
 
 9275 
 
 9318 
 
 9361 
 
 94o5 
 
 9448 
 
 9492 
 
 5i 
 
 8 
 
 4990 
 
 5o34 
 
 5077 
 
 5l2I 
 
 5i65 
 
 5209 
 
 5i 
 
 9 
 
 9535 
 
 9579 
 
 9622 
 
 9666 
 
 9709 
 
 9753 
 
 5o 
 
 9 
 
 5253 
 
 5297 
 
 5341 
 
 5385 
 
 5428 
 
 5472 
 
 5o 
 
 10 
 
 10. 109796 
 
 9840 
 
 9883 
 
 9926 
 
 9970 
 
 ..i3 
 
 49 
 
 10 
 
 10. i255i6 
 
 556o 
 
 56o4 
 
 5648 
 
 5692 
 
 5736 49I 
 
 1 1 
 
 10. 1 10057 
 
 0100 
 
 oi44 
 
 0187 
 
 023l 
 
 0274 
 
 48 
 
 1 1 
 
 5780 
 
 5823 
 
 5867 
 
 591 1 
 
 5955 
 
 5999 
 
 48 
 
 12 
 
 o3i8 
 
 o36i 
 
 o4o5 
 
 o448 
 
 0492 
 
 o535 
 
 47 
 
 12 
 
 6043 
 
 6087 
 
 6i3i 
 
 6175 
 
 6219 
 
 6262 
 
 47 
 
 i3 
 
 0579 
 
 0622 
 
 0666 
 
 0709 
 
 0752 
 
 0796 
 
 46 
 
 i3 
 
 63o6 
 
 635o 
 
 6394 
 
 6438 
 
 6482 
 
 6526 
 
 46 
 
 i4 
 
 0839 
 
 o883 
 
 0926 
 
 0970 
 
 ioi3 
 
 1057 
 
 45 
 
 i4 
 
 6570 
 
 66i4 
 
 6658 
 
 6701 
 
 6745 
 
 6789 
 
 45 
 
 i5 
 
 IIOO 
 
 ii44 
 
 1187 
 
 I23l 
 
 1274 
 
 i3i8 
 
 44 
 
 i5 
 
 6833 
 
 6877 
 
 6921 
 
 6965 
 
 7009 
 
 7o53 
 
 44 
 
 i6 
 
 i36i 
 
 i4o5 
 
 i448 
 
 1492 
 
 i535 
 
 1579 
 
 43 
 
 16 
 
 7097 
 
 7i4i 
 
 7185 
 
 7229 
 
 7273 
 
 7316 
 
 43 
 
 I? 
 
 1622 
 
 1666 
 
 1709 
 
 1753 
 
 1797 
 
 i84o 
 
 42 
 
 17 
 
 7360 
 
 74o4 
 
 744s 
 
 7492 
 
 7536 
 
 7580 
 
 42 
 
 i8 
 
 i884 
 
 1927 
 
 1971 
 
 20l4 
 
 2o58 
 
 2101 
 
 4i 
 
 18 
 
 7624 
 
 7668 
 
 7712 
 
 7756 
 
 7800 
 
 7844 
 
 4i 
 
 ■9 
 
 2145 
 
 2188 
 
 2232 
 
 2275 
 
 23i9 
 
 2362 
 
 40 
 
 19 
 
 7888 
 
 7932 
 
 7976 
 
 8020 
 
 8o63 
 
 8107 
 
 4o 
 
 20 
 
 10. 1 12406 
 
 2449 
 
 2493 
 
 2536 
 
 258o 
 
 2623 
 
 39 
 
 20 
 
 10. i28i5i 
 
 8195 
 
 8239 
 
 8283 
 
 8327 
 
 8371 
 
 39 
 
 21 
 
 2667 
 
 271 1 
 
 2754 
 
 2798 
 
 2841 
 
 2885 
 
 38 
 
 21 
 
 84i5 
 
 8459 
 
 85o3 
 
 8547 
 
 8591 
 
 8635 
 
 38 
 
 22 
 
 2928 
 
 2972 
 
 3oi5 
 
 3o59 
 
 3 1 02 
 
 3i46 
 
 37 
 
 22 
 
 8679 
 
 8723 
 
 8767 
 
 8811 
 
 8855 
 
 8899 
 
 37 
 
 23 
 
 3189 
 
 3233 
 
 3277 
 
 3320 
 
 3364 
 
 3407 
 
 36 
 
 23 
 
 8943 
 
 8987 
 
 9o3i 
 
 9075 
 
 9119 
 
 9163 
 
 36 
 
 24 
 
 345i 
 
 3494 
 
 3538 
 
 358i 
 
 3625 
 
 3669 
 
 35 
 
 24 
 
 9207 
 
 9251 
 
 9295 
 
 9339 
 
 9383 
 
 9427 
 
 35 
 
 25 
 
 3712 
 
 3756 
 
 3799 
 
 3843 
 
 3886 
 
 3930 
 
 34 
 
 25 
 
 9471 
 
 95i5 
 
 9559 
 
 9603 
 
 9647 
 
 9691 
 
 34 
 
 26 
 
 3974 
 
 4017 
 
 4o6i 
 
 4io4 
 
 4i48 
 
 4191 
 
 33 
 
 26 
 
 9735 
 
 9779 
 
 9823 
 
 9867 
 
 9911 
 
 9955 
 
 33 
 
 27 
 
 4235 
 
 4279 
 
 4322 
 
 4366 
 
 4409 
 
 4453 
 
 32 
 
 27 
 
 9999 
 
 ..43 
 
 ..87 
 
 .i3i 
 
 .175 
 
 .219 
 
 32 
 
 28 
 
 4496 
 
 4540 
 
 4584 
 
 4627 
 
 4671 
 
 4714 
 
 3i 
 
 28 
 
 10. i3o263 
 
 o3o7 
 
 o35i 
 
 0395 
 
 0439 
 
 o483 
 
 3i 
 
 29 
 
 4758 
 
 4802 
 
 4845 
 
 4889 
 
 4932 
 
 4976 
 
 3o 
 
 29 
 
 o527 
 
 0571 
 
 06 1 5 
 
 0659 
 
 0703 
 
 0747 
 
 3o 
 
 3o 
 
 10. t l5o20 
 
 5o63 
 
 5107 
 
 5i5o 5194 
 
 5238 
 
 29 
 
 3o 
 
 10. 130791 
 
 o835 
 
 0879 
 
 0923 
 
 0967 
 
 lOII 
 
 29 
 
 3i 
 
 5281 
 
 5325 
 
 5368 
 
 5412 
 
 5456 
 
 5499 
 
 28 
 
 3i 
 
 io55 
 
 1099 
 
 1 143 
 
 1187 
 
 1232 
 
 1276 
 
 28 
 
 32 
 
 5543 
 
 5586 
 
 563o 
 
 5674 
 
 5717 
 
 5761 
 
 27 
 
 32 
 
 l320 
 
 1 364 
 
 i4o8 
 
 i452 
 
 1496 
 
 i54o 
 
 27 
 
 33 
 
 58o4 
 
 5848 
 
 5892 
 
 5935 
 
 5979 
 
 6023 
 
 26 
 
 33 
 
 i584 
 
 1628 
 
 1672 
 
 1716 
 
 1760 
 
 i8o4 
 
 26 
 
 34 
 
 6066 
 
 6110 
 
 6i53 
 
 6197 
 
 6241 
 
 6284 
 
 25 
 
 34 
 
 1 848 
 
 1892 
 
 1936 
 
 1981 
 
 2025 
 
 2069 
 
 25 
 
 35 
 
 6328 
 
 6372 
 
 64i5 
 
 6459 
 
 65o2 
 
 6546 
 
 24 
 
 35 
 
 21 13 
 
 2157 
 
 2201 
 
 2245 
 
 2289 
 
 2333 
 
 24 
 
 36 
 
 6590 
 
 6633 
 
 6677 
 
 6721 
 
 6764 
 
 6808 
 
 23 
 
 36 
 
 2377 
 
 2421 
 
 2465 
 
 2509 
 
 2554 
 
 2598 
 
 23 
 
 37 
 
 6852 
 
 6895 
 
 6939 
 
 6982 
 
 7026 
 
 7070 
 
 22 
 
 37 
 
 2642 
 
 2686 
 
 2730 
 
 2774 
 
 2818 
 
 2862 
 
 22 
 
 38 
 
 7ii3 
 
 7157 
 
 7201 
 
 7244 
 
 7288 
 
 7332 
 
 21 
 
 38 
 
 2906 
 
 2950 
 
 2994 
 
 3o39 
 
 3o83 
 
 3127 
 
 21 
 
 39 
 
 7375 
 
 7419 
 
 7463 
 
 7506 
 
 7550 
 
 7594 
 
 20 
 
 39 
 
 3171 
 
 32i5 
 
 3259 
 
 33o3 
 
 3347 
 
 3391 
 
 20 
 
 40 
 
 10. 117637 
 
 7681 
 
 7725 
 
 7768 
 
 7812 
 
 7856 
 
 19 
 
 4o 
 
 10. 133436 
 
 3480 
 
 3524 
 
 3568 
 
 36i2 
 
 3656 
 
 '9 
 
 4i 
 
 7899 
 
 7943 
 
 7987 
 
 8o3o 
 
 8074 
 
 8118 
 
 18 
 
 4i 
 
 3700 
 
 3744 
 
 3789 
 
 3833 
 
 3877 
 
 3921 
 
 18 
 
 42 
 
 8161 
 
 82o5 
 
 8249 
 
 8292 
 
 8336 
 
 838o 
 
 17 
 
 42 
 
 3965 
 
 4009 
 
 4o53 
 
 4097 
 
 4 1 42 
 
 4i86 
 
 17 
 
 43 
 
 84-2 3 
 
 8467 
 
 85ii 
 
 8555 
 
 8598 
 
 8642 
 
 16 
 
 43 
 
 423o 
 
 4274 
 
 43i8 
 
 4362 
 
 44o6 
 
 445i 
 
 16 
 
 44 
 
 8686 
 
 8729 
 
 8773 
 
 8817 
 
 8860 
 
 8904 
 
 i5 
 
 44 
 
 4495 
 
 4539 
 
 4583 
 
 4627 
 
 4671 
 
 47i5 
 
 i5 
 
 45 
 
 8948 
 
 8992 
 
 9035 
 
 9079 
 
 9123 
 
 9166 
 
 i4 
 
 45 
 
 4760 
 
 48o4 
 
 4848 
 
 4892 
 
 4936 
 
 4980 
 
 i4 
 
 46 
 
 9210 
 
 9254 
 
 9297 
 
 9341 
 
 9385 
 
 9429 
 
 i3 
 
 46 
 
 5o25 
 
 5069 
 
 5ii3 
 
 5i57 
 
 5201 
 
 5245 
 
 i3 
 
 47 
 
 9472 
 
 9516 
 
 9560 
 
 9603 
 
 9647 
 
 9691 
 
 12 
 
 47 
 
 5290 
 
 5334 
 
 5378 
 
 5422 
 
 5466 
 
 55io 
 
 12 
 
 48 
 
 9735 
 
 9778 
 
 9822 
 
 9866 
 
 9909 
 
 9953 
 
 ri 
 
 48 
 
 5555 
 
 5599 
 
 5643 
 
 5687 
 
 5731 
 
 5775 
 
 1 1 
 
 49 
 
 9997 
 
 ..4i 
 
 ..84 
 
 .128 
 
 . 172 
 
 .216 
 
 10 
 
 49 
 
 5820 
 
 5864 
 
 5908 
 
 5952 
 
 5996 
 
 6o4i 
 
 10 
 
 5o 
 
 10. 120259 
 
 o3o3 
 
 o347 
 
 0391 
 
 0434 
 
 0478 
 
 9 
 
 5o 
 
 io.i36o85 
 
 6129 
 
 6173 
 
 6217 
 
 6262 
 
 63o6 
 
 9 
 
 5i 
 
 o522 
 
 o565 
 
 0609 
 
 o653 
 
 0697 
 
 0740 
 
 8 
 
 5i 
 
 635o 
 
 6394 
 
 6438 
 
 6483 
 
 6527 
 
 6571 
 
 8 
 
 52 
 
 0784 
 
 0828 
 
 0872 
 
 0915 
 
 0959 
 
 ioo3 
 
 7 
 
 52 
 
 66i5 
 
 6659 
 
 6704 
 
 6748 
 
 6792 
 
 6836 
 
 7 
 
 53 
 
 io47 
 
 1091 
 
 1 1 34 
 
 1178 
 
 1222 
 
 1266 
 
 6 
 
 53 
 
 6881 
 
 6925 
 
 6969 
 
 7013 
 
 7057 
 
 7102 
 
 6 
 
 54 
 
 1 309 
 
 [353 
 
 [397 
 
 i44i 
 
 1 484 
 
 i528 
 
 5 
 
 54 
 
 7146 
 
 7190 
 
 7234 
 
 7279 
 
 7323 
 
 7367 
 
 5 
 
 55 
 
 1572 
 
 i6i6 
 
 1659 
 
 1703 
 
 1747 
 
 1791 
 
 4 
 
 55 
 
 741 1 
 
 7455 
 
 7500 
 
 7544 
 
 7588 
 
 7632 
 
 4 
 
 56 
 
 i835 
 
 1878 
 
 1922 
 
 1966 
 
 2010 
 
 2o53 
 
 3 
 
 56 
 
 7677 
 
 7721 
 
 7765 
 
 7809 
 
 7854 
 
 7898 
 
 3 
 
 57 
 
 2097 
 
 2l4l 
 
 2i85 
 
 2229 
 
 2272 
 
 23i6 
 
 2 
 
 57 
 
 7942 
 
 7986 
 
 8o3i 
 
 8075 
 
 8119 
 
 8i63 
 
 2 
 
 58 
 
 236o 
 
 24o4 
 
 2448 
 
 2491 
 
 2535 
 
 2579 
 
 I 
 
 58 
 
 8208 
 
 8252 
 
 8296 
 
 834i 
 
 8385 
 
 8429 
 
 I 
 
 59 
 
 2623 
 
 2667 
 
 2710 
 
 2754 
 
 2798 
 
 2842 
 
 
 
 59 
 
 8473 
 
 85i8 
 
 8562 
 
 8606 
 
 865o 
 
 8695 
 
 
 
 d 
 
 60" 1 50" 
 
 40" 
 
 1 30" 
 
 20" 
 
 10" 
 
 
 
 60" 1 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 Co-tangent of 37 Degrees. 
 
 Co-tangent of 36 Degrees. 
 
 P. 
 
 „ 11" 2" 3" 4" 5" 6" 7" 8" 9" 
 ^""■•^H 9 13 17 23 26 31 35 39 
 
 „ „ , < 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 P. Part j^ 9 13 18 22 26 31 35 40 
 
78 
 
 LOGAKITHMIC SiNES. 
 
 
 Sine of 54 Des^rees. 
 
 - 
 
 
 Sine of 55 Degrees. 
 
 
 0" 
 
 10" 1 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 1 50" 
 
 
 
 9.90795s 
 
 7972 
 
 7988 
 
 8004 
 
 8015 
 
 8o34 
 
 59 
 
 
 
 9.913365 
 
 3379 
 
 3394 
 
 3409 
 
 3423 
 
 3438 
 
 59 
 
 I 
 
 8049 
 
 8o65 
 
 8080 
 
 8095 
 
 8III 
 
 8126 
 
 58 
 
 I 
 
 3453 
 
 3468 
 
 3482 
 
 3497 
 
 35x2 
 
 3527 
 
 58 
 
 2 
 
 8i4i 
 
 8i56 
 
 8172 
 
 8187 
 
 8202 
 
 8217 
 
 57 
 
 2 
 
 3541 
 
 3556 
 
 3571 
 
 3585 
 
 36oo 
 
 36x5 
 
 57 
 
 3 
 
 8233 
 
 8248 
 
 8263 
 
 8279 
 
 8294 
 
 83o9 
 
 56 
 
 3 
 
 363o 
 
 3644 
 
 3659 
 
 3674 
 
 3688 
 
 3703 
 
 56 
 
 4 
 
 8324 
 
 834o 
 
 8355 
 
 8370 
 
 8385 
 
 84oi 
 
 55 
 
 4 
 
 3718 
 
 3733 
 
 3747 
 
 3762 
 
 3777 
 
 3791 
 
 55 
 
 5 
 
 84i6 
 
 843i 
 
 8446 
 
 8462 
 
 8477I8492 
 
 54 
 
 5 
 
 38o6 
 
 3821 
 
 3836 
 
 385o 
 
 3865 
 
 388o 
 
 54 
 
 6 
 
 85o7 
 
 8523 
 
 8538 
 
 8553 
 
 85688584 
 
 53 
 
 6 
 
 3894 
 
 3909 
 
 3924 
 
 3938 
 
 3953 
 
 3968 
 
 53 
 
 7 
 
 8599 
 
 86i4 
 
 8629 
 
 8644 
 
 86608675 
 
 52 
 
 7 
 
 3982 
 
 3997 
 
 40I2 
 
 4026 
 
 4o4i 
 
 4o56 
 
 52 
 
 8 
 
 8690 
 
 8705 
 
 8721 
 
 8736 
 
 8751 8766 
 
 5i 
 
 8 
 
 4070 
 
 4o85 
 
 4 I 00 
 
 4ii4 
 
 4129 
 
 4x44 
 
 5x 
 
 9 
 
 8781 
 
 8797 
 
 8812 
 
 8827 
 
 88428857 
 
 5o 
 
 9 
 
 4i58 
 
 4173 
 
 4i88 
 
 4202 
 
 42x7 
 
 4232 
 
 5o 
 
 lO 
 
 9.908873 
 
 8888 
 
 8903 
 
 8918 
 
 89338949 
 
 49 
 
 10 
 
 9.914246 
 
 4261 
 
 4276 
 
 4290 
 
 43o5 
 
 4320 
 
 49 
 
 1 f 
 
 8964 
 
 8979 
 
 8994 
 
 9009 
 
 9025I9040 
 
 48 
 
 1 1 
 
 4334 
 
 4349 
 
 4364 
 
 4378 
 
 4393 
 
 4407 
 
 48 
 
 12 
 
 9055 
 
 9070 
 
 9085 
 
 9101 
 
 91 169131 
 
 47 
 
 12 
 
 4422 
 
 4437 
 
 445i 
 
 4466 
 
 448i 
 
 4495 
 
 47 
 
 i3 
 
 9146 
 
 9161 
 
 9176 
 
 9192 
 
 9207 9222 
 
 46 
 
 i3 
 
 45x0 
 
 4524 
 
 4539 
 
 4554 
 
 4568 
 
 4583 
 
 46 
 
 i4 
 
 9237 
 
 9252 
 
 9267 
 
 9283 
 
 9298 
 
 93i3 
 
 45 
 
 i4 
 
 4598 
 
 4612 
 
 4627 
 
 464i 
 
 4656 
 
 467X 
 
 45 
 
 i5 
 
 9328 
 
 9343 
 
 9358 
 
 9374 
 
 9389 
 
 94o4 
 
 44 
 
 i5 
 
 4685 
 
 4700 
 
 4714 
 
 4729 
 
 4744 
 
 4758 
 
 44 
 
 i6 
 
 9419 
 
 9434 
 
 9449 
 
 9464 
 
 9480 
 
 9495 
 
 43 
 
 16 
 
 4773 
 
 4787 
 
 4802 
 
 4817 
 
 483i 
 
 4846 
 
 43 
 
 I? 
 
 95 10 
 
 9525 
 
 9540 
 
 9555 
 
 95709586 
 
 42 
 
 17 
 
 4860 
 
 4875 
 
 4890 
 
 4904 
 
 4919 
 
 4933 
 
 42 
 
 i8 
 
 9601 
 
 9616 
 
 9631 
 
 9646 
 
 966i'9676 
 
 4i 
 
 18 
 
 4948 
 
 4962 
 
 4977 
 
 4992 
 
 5oo6 
 
 5o2] 
 
 4x 
 
 19 
 
 9691 
 
 9707 
 
 9722 
 
 9737 
 
 97529767 
 
 4o 
 
 19 
 
 5o35 
 
 5o5o 
 
 5o64 
 
 5079 
 
 5094 
 
 5xo8 
 
 4o 
 
 20 
 
 9.909782 
 
 9797 
 
 9812 
 
 9827 
 
 9843;9858 
 
 39 
 
 20 
 
 9. 9i5i23 
 
 5i37 
 
 5x52 
 
 5x66 
 
 5x8i 
 
 5196 
 
 39 
 
 21 
 
 9873 
 
 9888 
 
 9903 
 
 9918 
 
 9933 9948 
 
 38 
 
 21 
 
 5210 
 
 5225 
 
 5239 
 
 5254 
 
 5268 
 
 5283 
 
 38 
 
 22 
 
 9963 
 
 9978 
 
 9994 
 
 ...9 
 
 ..24 
 
 ..39 
 
 37 
 
 22 
 
 5297 
 
 53i2 
 
 5326 
 
 5341 
 
 5356 
 
 5370 
 
 37 
 
 23 
 
 9.910054 
 
 0069 
 
 0084 
 
 0099 
 
 01 14 
 
 0129 
 
 36 
 
 23 
 
 5385 
 
 5399 
 
 54x4 
 
 5428 
 
 5443 
 
 5457 
 
 36 
 
 24 
 
 oi44 
 
 0159 
 
 0175 
 
 0190 
 
 02o5 
 
 0220 
 
 35 
 
 24 
 
 5472 
 
 5486 
 
 55oi 
 
 55x5 
 
 553o 
 
 5544 
 
 35 
 
 25 
 
 0235 
 
 025o 
 
 0265 
 
 0280 
 
 0295 
 
 o3io 
 
 34 
 
 25 
 
 5559 
 
 5573 
 
 5588 
 
 56o2 
 
 56x7 
 
 563x 
 
 34 
 
 26 
 
 o325 
 
 o34o 
 
 o355 
 
 0370 
 
 o385 
 
 o4oo 
 
 33 
 
 26 
 
 5646 
 
 566o 
 
 5675 
 
 5689 
 
 5704 
 
 5718 
 
 33 
 
 27 
 
 o4i5 
 
 o43o 
 
 o446 
 
 o46i 
 
 0476 
 
 0491 
 
 32 
 
 27 
 
 5733 
 
 5747 
 
 5762 
 
 5776 
 
 5791 
 
 58o5 
 
 32 
 
 28 
 
 o5o6 
 
 o52i 
 
 o536 
 
 o55i 
 
 o566 
 
 o58i 
 
 3i 
 
 28 
 
 5820 
 
 5834 
 
 5849 
 
 5863 
 
 5878 
 
 5892 
 
 3x 
 
 29 
 
 0596 
 
 061 1 
 
 0626 
 
 064 1 
 
 o656 
 
 0671 
 
 3o 
 
 29 
 
 5907 
 
 5921 
 
 5936 
 
 5950 
 
 5965 
 
 5979 
 
 3o 
 
 3o 
 
 9.910686 
 
 0701 
 
 0716 
 
 0731 
 
 0746 
 
 0761 
 
 29 
 
 3o 
 
 9.915994 
 
 6008 
 
 6023 
 
 6037 
 
 6o52 
 
 6066 
 
 29 
 
 3i 
 
 0776 
 
 0791 
 
 0806 
 
 0821 
 
 o836 
 
 o85i 
 
 28 
 
 3i 
 
 6081 
 
 6095 
 
 6x09 
 
 6x24 
 
 6x38 
 
 6x53 
 
 28 
 
 32 
 
 0866 
 
 0881 
 
 0896 
 
 091 1 
 
 0926 
 
 0941 
 
 27 
 
 32 
 
 6167 
 
 6182 
 
 6x96 
 
 621 X 
 
 6225 
 
 6240 
 
 27 
 
 33 
 
 0956 
 
 0971 
 
 0986 
 
 1 00 1 
 
 1016 
 
 io3i 
 
 26 
 
 33 
 
 6254 
 
 6268 
 
 6283 
 
 6297 
 
 63x2 
 
 6326 
 
 26 
 
 34 
 
 io46 
 
 1061 
 
 1076 
 
 1091 
 
 1 106 
 
 1 121 
 
 25 
 
 34 
 
 634i 
 
 6355 
 
 6369 
 
 6384 
 
 6398 
 
 64x3 
 
 25 
 
 35 
 
 ii36 
 
 t i5i 
 
 n66 
 
 1181 
 
 [ 196 
 
 121 1 
 
 24 
 
 35 
 
 6427 
 
 6442 
 
 6456 
 
 6470 
 
 6485 
 
 6499 
 
 24 
 
 36 
 
 1226 
 
 I24l 
 
 1256 
 
 1271 
 
 1286 
 
 i3oo 
 
 23 
 
 36 
 
 65i4 
 
 6528 
 
 6543 
 
 6557 
 
 6571 
 
 6586 
 
 23 
 
 37 
 
 i3i5 
 
 i33o 
 
 1 345 
 
 i36o 
 
 1375 
 
 1390 
 
 22 
 
 37 
 
 6600 
 
 66i5 
 
 6629 
 
 6643 
 
 6658 
 
 6672 
 
 22 
 
 38 
 
 i4o5 
 
 1420 
 
 i435 
 
 i45o 
 
 i465 
 
 i48o 
 
 21 
 
 38 
 
 6687 
 
 6701 
 
 6715 
 
 6730 
 
 6744 
 
 6759 
 
 2X 
 
 39 
 
 1495 
 
 i5io 
 
 i525 
 
 i54o 
 
 i555 
 
 1569 
 
 20 
 
 39 
 
 6773 
 
 6787 
 
 6802 
 
 68x9 
 
 683o 
 
 6845 
 
 20 
 
 4o 
 
 9.91 i584 
 
 i599 
 
 i6i4 
 
 1629 
 
 1 644 
 
 1659 
 
 •9 
 
 4o 
 
 9. 916859 
 
 6874 
 
 6888 
 
 6902 
 
 6917 
 
 693X 
 
 19 
 
 4i 
 
 1674 
 
 1689 
 
 1704 
 
 1719 
 
 1734 
 
 1748 
 
 18 
 
 4i 
 
 6946 
 
 6960 
 
 6974 
 
 6989 
 
 7003 
 
 70x7 
 
 x8 
 
 42 
 
 1763 
 
 1778 
 
 1793 
 
 1808 
 
 1823 
 
 i838 
 
 17 
 
 42 
 
 7032 
 
 7046 
 
 7060 
 
 7075 
 
 7089 
 
 7x04 
 
 17 
 
 43 
 
 i853 
 
 1868 
 
 i883 
 
 1897 
 
 1912 
 
 1927 
 
 16 
 
 43 
 
 7118 
 
 7132 
 
 7x47 
 
 7161 
 
 7x75 
 
 7190 
 
 x6 
 
 44 
 
 1942 
 
 1957 
 
 1972 
 
 1987 
 
 2002 
 
 2017 
 
 r5 
 
 44 
 
 7204 
 
 7218 
 
 7233 
 
 7247 
 
 7261 
 
 7276 
 
 i5 
 
 45 
 
 203l 
 
 2o46 
 
 2061 
 
 2076 
 
 2091 
 
 2to6 
 
 i4 
 
 45 
 
 7290 
 
 73o4 
 
 7319 
 
 7333 
 
 7347 
 
 7362 
 
 i4 
 
 46 
 
 2121 
 
 2i36 
 
 2i5o 
 
 2i65 
 
 2180 
 
 2195 
 
 i3 
 
 46 
 
 7376 
 
 7390 
 
 74o5 
 
 7419 
 
 7433 
 
 7448 
 
 i3 
 
 47 
 
 2210 
 
 2225 
 
 2240 
 
 2255 
 
 2269 
 
 2284 
 
 12 
 
 47 
 
 7462 
 
 7476 
 
 7491 
 
 75o5 
 
 75x9 
 
 7534 
 
 X2 
 
 48 
 
 2299 
 
 23l4 
 
 2329 
 
 2344 
 
 2358 
 
 2373 
 
 1 1 
 
 48 
 
 7548 
 
 7562 
 
 7576 
 
 7591 
 
 7605 
 
 7619 
 
 1 I 
 
 49 
 
 238.8 
 
 24o3 
 
 24l8 
 
 2433 
 
 2448 
 
 2462 
 
 10 
 
 49 
 
 7634 
 
 7648 
 
 7662 
 
 7677 
 
 769X 
 
 7705 
 
 XO 
 
 So 
 
 9-912477 
 
 2492 
 
 25o7 
 
 2522 
 
 2537 
 
 255i 
 
 9 
 
 5o 
 
 9.917719 
 
 7734 
 
 7748 
 
 7762 
 
 7777 
 
 7791 
 
 9 
 
 5i 
 
 2566 
 
 258i 
 
 2596 
 
 261 I 
 
 2625 
 
 2640 
 
 8 
 
 5i 
 
 7805 
 
 7819 
 
 7834 
 
 7848 
 
 7862 
 
 7877 
 
 8 
 
 52 
 
 2655 
 
 2670 
 
 2685 
 
 2700 
 
 2714 
 
 2729 
 
 7 
 
 52 
 
 7891 
 
 7905 
 
 7919 
 
 7934 
 
 7948 
 
 7962 
 
 7 
 
 53 
 
 2744 
 
 2759 
 
 2774 
 
 2788 
 
 28o3 
 
 2818 
 
 6 
 
 53 
 
 7976 
 
 7991 
 
 8oo5 
 
 80x9 
 
 8o33 
 
 8o48 
 
 6 
 
 54 
 
 2833 
 
 2848 
 
 2862 
 
 2877 
 
 2892 
 
 2907 
 
 5 
 
 54 
 
 8062 
 
 8076 
 
 8090 
 
 8io5 
 
 8XX9 
 
 8i33 
 
 5 
 
 55 
 
 2922 
 
 2936 
 
 2951 
 
 2966 
 
 2981 
 
 2995 
 
 4 
 
 55 
 
 8147 
 
 8162 
 
 8176 
 
 8x90 
 
 8204 
 
 82x9 
 
 4 
 
 56 
 
 3oio 
 
 3o25 
 
 3o4o 
 
 3o55 
 
 3069 
 
 3o84 
 
 3 
 
 56 
 
 8233 
 
 8247 
 
 826X 
 
 8276 
 
 8290 
 
 83o4 
 
 3 
 
 57 
 
 3099 
 
 3ii4 
 
 3128 
 
 3i43 
 
 3i58 
 
 3173 
 
 2 
 
 57 
 
 83i8 
 
 8333 
 
 8347 
 
 836i 
 
 8375 
 
 8389 
 
 2 
 
 58 
 
 3187 
 
 3202 
 
 3217 
 
 3232 
 
 3247 
 
 3261 
 
 I 
 
 58 
 
 84o4 
 
 84i8 
 
 8432 
 
 8446 
 
 846i 
 
 8475 
 
 1 
 
 59 
 
 3276 
 
 3291 
 
 33o6 
 
 3320 
 
 3335 
 
 335o 
 
 
 
 59 
 
 8489 
 
 85o3 
 
 85x7 
 
 8532 
 
 8546 
 
 B56o 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 
 60" 
 
 50" 
 
 40" 30" 
 
 20" 
 
 10" 
 
 
 Co-sine of 35 Degrees. 
 
 Co-sine of 34 Degrees. 
 
 P.F 
 
 . i 1" 2" 3" 4" 5" 6" 7" 8" i 
 *"|2 3 5 6 8 9 11 12 1 
 
 4 
 
 P p«r^ i 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 ^'^^'*-( 1 3 4 6 7 9 10 12 13 
 

 
 
 
 Logarithmic Tangents. 
 
 
 
 
 
 79 
 
 d 
 
 THUu-ent of 54 Degrees. 
 
 
 
 Tangent of 55 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 50" 
 
 o 
 
 lo. 1387J9 
 
 8783 
 
 8828 
 
 8872 
 
 89x6 
 
 8960 
 
 59 
 
 
 
 XO. 154773 
 
 48x8 
 
 4863 
 
 4908 
 
 4952 
 
 4997 
 
 59 
 
 I 
 
 9005 
 
 9049 
 
 9093 
 
 9x38 
 
 9x82 
 
 9226 
 
 58 
 
 X 
 
 5o42 
 
 5087 
 
 5i32 
 
 5177 
 
 522 1 
 
 5266 
 
 58 
 
 2 
 
 9270 
 
 93i5 
 
 9359 
 
 94o3 
 
 9448 
 
 9492 
 
 57 
 
 2 
 
 53x1 
 
 5356 
 
 5401 
 
 5446 
 
 5490 
 
 5535 
 
 57 
 
 3 
 
 9536 
 
 9580 
 
 9625 
 
 9669 
 
 97 1 3 
 
 9758|56 
 
 3 
 
 558o 
 
 5625 
 
 5670 
 
 57x5 
 
 5759 
 
 58o4 
 
 56 
 
 4 
 
 9802 
 
 9846 
 
 9891 
 
 9935 
 
 9979 
 
 ..2455 
 
 4 
 
 5849 
 
 58g4 
 
 5g3g 
 
 5g84 
 
 6029 
 
 6073 
 
 55 
 
 5 
 
 10. i4oo6S 
 
 01 12 
 
 0x57 
 
 020X 
 
 0245 
 
 0290 54 
 
 5 
 
 6xx8 
 
 6x63 
 
 6208 
 
 6253 
 
 6298 
 
 6343 
 
 54 
 
 6 
 
 o334 
 
 0378 
 
 o423 
 
 0467 
 
 o5x I 
 
 o556 
 
 53 
 
 6 
 
 6388 
 
 6432 
 
 6477 
 
 6522 
 
 6567 
 
 66x2 
 
 53 
 
 7 
 
 0600 
 
 o644 
 
 0689 
 
 0733 
 
 0777 
 
 0822 
 
 52 
 
 7 
 
 6657 
 
 6702 
 
 6747 
 
 6791 
 
 6836 
 
 6881 
 
 52 
 
 8 
 
 0866 
 
 0910 
 
 0955 
 
 0999 
 
 xo43 
 
 1088 
 
 5i 
 
 8 
 
 6926 
 
 6971 
 
 70x6 
 
 7061 
 
 7x06 
 
 71 5x 
 
 5 1 
 
 9 
 
 Il32 
 
 1 176 
 
 1221 
 
 1265 
 
 x3o9 
 
 x354 
 
 5o 
 
 9 
 
 ,7195 
 
 7240 
 
 7285 
 
 7330 
 
 7375 
 
 7420 
 
 5o 
 
 lO 
 
 10. i4i3g8 
 
 1442 
 
 1487 
 
 i53i 
 
 x576 
 
 X620 
 
 49 
 
 XO 
 
 xo. i57465 
 
 75xo 
 
 7555 
 
 7600 
 
 7645 
 
 768g 
 
 49 
 
 II 
 
 i664 
 
 1709 
 
 1753 
 
 1797 
 
 x842 
 
 x886 
 
 48 
 
 XI 
 
 7734 
 
 7779 
 
 7824 
 
 786g 
 
 7914 
 
 79^9 
 
 48 
 
 12 
 
 1931 
 
 1975 
 
 2019 
 
 2064 
 
 2x08 
 
 2l52 
 
 47 
 
 X2 
 
 8oo4 
 
 8o4g 
 
 8094 
 
 8x3g 
 
 8x84 
 
 8229 
 
 47 
 
 i3 
 
 2197 
 
 2241 
 
 2286 
 
 233o 
 
 2374 
 
 2419 
 
 46 
 
 i3 
 
 8273 
 
 83x8 
 
 8363 
 
 84o8 
 
 8453 
 
 8498 
 
 46 
 
 i4 
 
 2463 
 
 2 5 08 
 
 2552 
 
 2596 
 
 264 X 
 
 2685 
 
 45 
 
 i4 
 
 8543 
 
 8588 
 
 8633 
 
 8678 
 
 8723 
 
 8768 
 
 45 
 
 i5 
 
 2730 
 
 2774 
 
 2818 
 
 2863 
 
 2907 
 
 2952 
 
 44 
 
 x5 
 
 88i3 
 
 8858 
 
 8903 
 
 8g48 
 
 8gg3 
 
 go38 
 
 44 
 
 i6 
 
 2996 
 
 3o4i 
 
 3o85 
 
 3x29 
 
 3174 
 
 32x8 
 
 43 
 
 x6 
 
 9083 
 
 9x28 
 
 9x73 
 
 92x8 
 
 g263 
 
 g3o7 
 
 43 
 
 I? 
 
 3263 
 
 3307 
 
 335i 
 
 3396 
 
 3440 
 
 3485 
 
 42 
 
 17 
 
 9352 
 
 9397 
 
 9442 
 
 9487 
 
 g532 
 
 9577 
 
 42 
 
 i8 
 
 3529 
 
 3574 
 
 36i8 
 
 3662 
 
 3707 
 
 3751 
 
 4i 
 
 18 
 
 9622 
 
 g667 
 
 97x2 
 
 97^7 
 
 g8o2 
 
 9847 
 
 4i 
 
 19 
 
 3796 
 
 384o 
 
 3885 
 
 3929 
 
 3974 
 
 4oi8 
 
 40 
 
 '9 
 
 9892 
 
 9937 
 
 9982 
 
 ..27 
 
 ..72 
 
 .X17 
 
 4o 
 
 20 
 
 10. 144062 
 
 4107 
 
 4i5i 
 
 4196 
 
 4240 
 
 4285 
 
 39 
 
 20 
 
 XO. 160x62 
 
 0207 
 
 0252 
 
 02g7 
 
 o342 
 
 0387 
 
 39 
 
 21 
 
 4329 
 
 4374 
 
 4418 
 
 4463 
 
 4507 
 
 455i 
 
 38 
 
 2X 
 
 o432 
 
 0477 
 
 o522 
 
 0567 
 
 0612 
 
 0657 
 
 38 
 
 22 
 
 4596 
 
 464o 
 
 4685 
 
 4729 
 
 4774 
 
 48x8 
 
 37 
 
 22 
 
 0703 
 
 0748 
 
 0793 
 
 o838 
 
 o883 
 
 0928 
 
 37 
 
 23 
 
 4863 
 
 4907 
 
 4952 
 
 4996 
 
 5o4i 
 
 5o85 
 
 36 
 
 23 
 
 0973 
 
 X018 
 
 io63 
 
 1108 
 
 xx53 
 
 X xg8 
 
 36 
 
 24 
 
 5i3o 
 
 5i74 
 
 52ig 
 
 5263 
 
 53o8 
 
 5352 
 
 35 
 
 24 
 
 1243 
 
 X288 
 
 x333 
 
 X378 
 
 x423 
 
 x468 
 
 35 
 
 25 
 
 5397 
 
 5441 
 
 5486 
 
 553o 
 
 5575 
 
 56x9 
 
 34 
 
 25 
 
 i5x3 
 
 x558 
 
 x6o3 
 
 x648 
 
 x6g3 
 
 1739 
 
 34 
 
 26 
 
 5664 
 
 5708 
 
 5753 
 
 5797 
 
 5842 
 
 5886 
 
 33 
 
 26 
 
 1784 
 
 x82g 
 
 1874 
 
 igig 
 
 xg64 
 
 2009 
 
 33 
 
 27 
 
 5931 
 
 5975 
 
 6020 
 
 6064 
 
 6109 
 
 6x53 
 
 32 
 
 27 
 
 2o54 
 
 2og9 
 
 2x44 
 
 2189 
 
 2234 
 
 2279 
 
 32 
 
 28 
 
 6198 
 
 6242 
 
 6287 
 
 633 X 
 
 6376 
 
 6420 
 
 3i 
 
 28 
 
 2325 
 
 2370 
 
 24x5 
 
 2460 
 
 25o5 
 
 255o 
 
 3x 
 
 29 
 
 6465 
 
 65o9 
 
 6554 
 
 6598 
 
 6643 
 
 6687 
 
 3o 
 
 29 
 
 2595 
 
 2640 
 
 2685 
 
 2730 
 
 2775 
 
 282X 
 
 3o 
 
 3o 
 
 10. 146732 
 
 6777 
 
 6821 
 
 6866 
 
 6910 
 
 6955 
 
 29 
 
 3o 
 
 XO. 162866 
 
 29X I 
 
 2956 
 
 3ooi 
 
 3o46 
 
 3ogi 
 
 29 
 
 3i 
 
 6999 
 
 7044 
 
 7088 
 
 7133 
 
 7177 
 
 7222 
 
 28 
 
 3i 
 
 3x36 
 
 3x8x 
 
 3227 
 
 3272 
 
 33i7 
 
 3362 
 
 28 
 
 32 
 
 7267 
 
 7311 
 
 7356 
 
 7400 
 
 7445 
 
 7489 
 
 27 
 
 32 
 
 3407 
 
 3452 
 
 3497 
 
 3542 
 
 3588 
 
 3633 
 
 27 
 
 33 
 
 7534 
 
 7578 
 
 7623 
 
 7668 
 
 77x2 
 
 7757 
 
 26 
 
 33 
 
 3678 
 
 3723 
 
 3768 
 
 38i3 
 
 3858 
 
 3go4 
 
 26 
 
 34 
 
 7801 
 
 7846 
 
 7890 
 
 7935 
 
 7980 
 
 8024 
 
 25 
 
 34 
 
 3949 
 
 3gg4 
 
 4o39 
 
 4o84 
 
 4l2g 
 
 4174 
 
 25 
 
 35 
 
 8069 
 
 8ii3 
 
 8x58 
 
 8203 
 
 8247 
 
 8292 
 
 24 
 
 35 
 
 4220 
 
 4265 
 
 43x0 
 
 4355 
 
 44oo 
 
 4445 
 
 24 
 
 36 
 
 8336 
 
 838i 
 
 8425 
 
 8470 
 
 85x5 
 
 8559 
 
 23 
 
 36 
 
 4491 
 
 4536 
 
 458x 
 
 4626 
 
 467X 
 
 47x6 
 
 23 
 
 37 
 
 86o4 
 
 8648 
 
 8693 
 
 8738 
 
 8782 
 
 8827 
 
 22 
 
 37 
 
 4762 
 
 4807 
 
 4852 
 
 4897 
 
 4g42 
 
 4g88 
 
 22 
 
 38 
 
 8871 
 
 8916 
 
 896X 
 
 9005 
 
 9o5o 
 
 9095 
 
 21 
 
 38 
 
 5o33 
 
 5078 
 
 5x23 
 
 5x68 
 
 52x3 
 
 525g 
 
 21 
 
 39 
 
 9139 
 
 91S4 
 
 9228 
 
 9273 
 
 93x8 
 
 9362 
 
 20 
 
 39 
 
 53o4 
 
 534g 
 
 53g4 
 
 5439 
 
 5485 
 
 553o 
 
 20 
 
 4o 
 
 10. 149407 
 
 9452 
 
 9496 
 
 954x 
 
 9585 
 
 9630 
 
 19 
 
 40 
 
 XO. 165575 
 
 5620 
 
 5666 
 
 571 X 
 
 5756 
 
 58ox 
 
 19 
 
 4i 
 
 9675 
 
 9719 
 
 9764 
 
 98099853 
 
 9898 
 
 x8 
 
 4i 
 
 5846 
 
 58g2 
 
 5937 
 
 5982 
 
 6027 
 
 6073 
 
 x8 
 
 42 
 
 9943 
 
 99^7 
 
 ..32 
 
 ..76 
 
 . 121 
 
 .166 
 
 17 
 
 42 
 
 6x18 
 
 6x63 
 
 6208 
 
 6253 
 
 6299 
 
 6344 
 
 17 
 
 43 
 
 10. l502I0 
 
 0255 
 
 o3oo 
 
 o344 
 
 0389 
 
 0434 
 
 x6 
 
 43 
 
 6389 
 
 6434 
 
 648o 
 
 6525 
 
 6570 
 
 66x5 
 
 x6 
 
 44 
 
 0478 
 
 o523 
 
 o568 
 
 0612 
 
 0657 
 
 0702 
 
 x5 
 
 44 
 
 6661 
 
 6706 
 
 675X 
 
 6796 
 
 6842 
 
 6887 
 
 x5 
 
 45 
 
 0746 
 
 0791 
 
 o836 
 
 0880 
 
 0925 
 
 0970 
 
 i4 
 
 45 
 
 6932 
 
 6977 
 
 7023 
 
 7068 
 
 7113 
 
 7i58 
 
 i4 
 
 46 
 
 ioi4 
 
 1059 
 
 I io4 
 
 1 1 49 
 
 1193 
 
 1238 
 
 x3 
 
 46 
 
 7204 
 
 724g 
 
 7294 
 
 7340 
 
 7385 
 
 743o 
 
 x3^ 
 
 47 
 
 1283 
 
 i327 
 
 1372 
 
 i4i7 
 
 x46x 
 
 i5o6 
 
 X2 
 
 47 
 
 7475 
 
 7521 
 
 7566 
 
 761 X 
 
 7657 
 
 7702 
 
 X2 
 
 48 
 
 i55i 
 
 iSgS 
 
 i64o 
 
 1 68 5 
 
 X730 
 
 1774 
 
 I I 
 
 48 
 
 7747 
 
 7792 
 
 7838 
 
 7883 
 
 7928 
 
 7974 
 
 I I 
 
 49 
 
 1819 
 
 i864 
 
 1908 
 
 ig53 
 
 1998 
 
 2043 
 
 XO 
 
 49 
 
 8019 
 
 8064 
 
 8109 
 
 8x55 
 
 8200 
 
 8245 
 
 10 
 
 5o 
 
 10. 152087 
 
 2l32 
 
 2x77 
 
 2221 
 
 2266 
 
 23X1 
 
 9 
 
 5o 
 
 XO. 16829X 
 
 8336 
 
 838i 
 
 8427 
 
 8472 
 
 85x7 
 
 9 
 
 5i 
 
 2356 
 
 2400 
 
 2445 
 
 2490 
 
 2535 
 
 2579 
 
 8 
 
 5x 
 
 8563 
 
 8608 
 
 8653 
 
 86gg 
 
 8744 
 
 878g 
 
 8 
 
 52 
 
 2624 
 
 2669 
 
 2713 
 
 2758 
 
 28o3 
 
 2848 
 
 7 
 
 52 
 
 8835 
 
 8880 
 
 8925 
 
 8971 
 
 goi6 
 
 go6x 
 
 7 
 
 53 
 
 2892 
 
 2937 
 
 2982 
 
 3027 
 
 3071 
 
 3xx6 
 
 6 
 
 53 
 
 9x07 
 
 9x52 
 
 9x97 
 
 g243 
 
 g288 
 
 g333 
 
 6 
 
 54 
 
 3i6i 
 
 3206 
 
 325o 
 
 3295 
 
 3340 
 
 3385 
 
 5 
 
 54 
 
 9379 
 
 g424 
 
 9469 
 
 g5i5 
 
 g56o 
 
 g6o5 
 
 5 
 
 55 
 
 343o 
 
 3474 
 
 35x9 
 
 3564 
 
 3609 
 
 3653 
 
 4 
 
 55 
 
 965x 
 
 g696 
 
 9742 
 
 9787 
 
 g832 
 
 9878 
 
 4 
 
 56 
 
 3698 
 
 3743 
 
 3788 
 
 3832 
 
 3877 
 
 3922 
 
 3 
 
 56 
 
 9923 
 
 9968 
 
 ..x4 
 
 ..59 
 
 . xo5 
 
 . x5o 
 
 3 
 
 57 
 
 3967 
 
 4012 
 
 4o56 
 
 4X01 
 
 4i46 
 
 4xgx 
 
 2 
 
 57 
 
 XO. 170x95 
 
 024x 
 
 0286 
 
 o33x 
 
 0377 
 
 0422 
 
 2 
 
 58 
 
 4236 
 
 4280 
 
 4325 
 
 4370 
 
 44i5 
 
 4460 
 
 X 
 
 58 
 
 o468 
 
 o5i3 
 
 o558 
 
 o6o4 
 
 0649 
 
 o6g5 
 
 I 
 
 59 
 
 45o4 
 
 4549 
 
 4596 
 
 4639 
 
 4684 
 
 4728 
 
 
 
 59 
 
 0740 
 
 0785 
 
 o83x 
 
 0876 
 
 0922 
 
 og67 
 
 
 
 c 
 
 
 60" 50" 
 
 40' 
 
 30' 
 
 1 20" 
 
 10" 
 
 J ^ 
 
 
 60'" 
 
 50'" 1 40' 
 
 30" 
 
 20'' 
 
 10" 
 
 Co-tangent of 35 Degrees. 
 
 S 
 
 Co-tangent of 34 Degree 
 
 s. 
 
 P 
 
 , „ , j 1" r 3" 4" 5" 6" 7" 8" 9" 
 • ^"" H 9 13 18 23 27 31 36 40 
 
 P Pnr. i 1" 2" 3" 4" 5" 6" 7" 8" 
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 9" 
 U 
 
80 
 
 
 
 
 Logarithmic Sines. 
 
 
 
 
 
 
 r 
 
 d 
 
 Sine of 56 Degrees. 
 
 
 1 
 
 Sine of 57 Degrees. 
 
 
 0" 10" 
 
 20" 
 
 30" 1 40" 
 
 50" 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 1 50" 
 
 o 
 
 9.9i8574|8588 
 
 86o3 
 
 8617 
 
 863i 
 
 8645 59 
 
 
 
 9.92359X 
 
 36o5 
 
 36x9 
 
 3632 
 
 3646|366o 
 
 59 
 
 I 
 
 86598674 
 
 8688 
 
 8702 
 
 8716 
 
 8730 
 
 58 
 
 I 
 
 3673 
 
 3687 
 
 370X 
 
 3714 
 
 3728 3742 
 
 58 
 
 2 
 
 87458759 
 
 8773I8787 
 
 8801 
 
 88x5 
 
 57 
 
 2 
 
 3755 
 
 3769 
 
 3783 
 
 3796 
 
 38x0 
 
 3824 
 
 57 
 
 3 
 
 883o8844 
 
 8858:8872 
 
 8886 
 
 8900 
 
 56 
 
 3 
 
 3837 
 
 385i 
 
 3865 
 
 3878 
 
 3892 
 
 3906 
 
 56 
 
 4 
 
 891518929 
 
 8943 8957 
 
 8971 
 
 8985 
 
 55 
 
 4 
 
 39x9 
 
 3933 
 
 3946 
 
 3960 
 
 3974 3987 
 
 55 
 
 5 
 
 9000 9014 
 
 9028 
 
 9042 
 
 9o56 
 
 9070 
 
 54 
 
 5 
 
 4oox 
 
 4oi5 
 
 4028 
 
 4042 
 
 4o55 
 
 4069 
 
 54 
 
 6 
 
 90859099 
 
 9n3 
 
 9127 
 
 9141 
 
 9x55 
 
 53 
 
 6 
 
 4o83 
 
 4096 
 
 4iio 
 
 4 1 24 
 
 4i37 
 
 4i5x 
 
 53 
 
 7 
 
 9169 9184 
 
 9198 
 
 9212 
 
 9226 
 
 9240 
 
 52 
 
 7 
 
 4i64 
 
 4178 
 
 4192 
 
 42o5 
 
 42X9'4232 
 
 52 
 
 8 
 
 9254 9268 
 
 9282 9297 
 
 9311 
 
 9325 
 
 5x 
 
 8 
 
 4246 
 
 4260 
 
 4273 
 
 4287 
 
 43oo 43x4 
 
 5x 
 
 9 
 
 9339'9353 
 
 9367 
 
 9381 
 
 9395 
 
 9410 
 
 5o 
 
 9 
 
 4328 
 
 4341 
 
 4355 
 
 4368 
 
 4382 4396 
 
 5o 
 
 10 
 
 9.919424 9438 
 
 9452 
 
 9466 
 
 9480 
 
 9494 
 
 49 
 
 10 
 
 9.924409 
 
 4423 
 
 4436 
 
 445o 
 
 446414477 
 
 49 
 
 II 
 
 9508,9522 
 
 9537 
 
 9551 
 
 9565 
 
 9579 
 
 48 
 
 i" 
 
 4491 
 
 45o4 
 
 45x8 
 
 453i 
 
 45454559 
 
 48 
 
 12 
 
 9593 
 
 9607 
 
 9621 
 
 9635 
 
 9649 
 
 9663 
 
 47 
 
 ! 12 
 
 4572 
 
 4586 
 
 4599 
 
 46x3 
 
 4626 464o 
 
 47 
 
 i3 
 
 9677 
 
 9692 
 
 9706 
 
 9720 
 
 9734 
 
 9748 
 
 46 
 
 ;x3 
 
 4654 
 
 4667 
 
 468i 
 
 4694 
 
 47o8^472x 
 
 46 
 
 i4 
 
 9762 
 
 97769790 
 
 9804 
 
 9818 
 
 9832 
 
 45 
 
 'x4 
 
 4735 
 
 4748 
 
 4762 
 
 4776 
 
 47894803 
 
 45 
 
 i5 
 
 9846 
 
 9860 
 
 9875 
 
 9889 
 
 9903 
 
 99x7 
 
 44j,i5 
 
 48x6 
 
 483o 
 
 4843 
 
 4857 
 
 48704884 
 
 44 
 
 i6 
 
 9931 
 
 9945 
 
 9959 
 
 9973 
 
 9987 
 
 . . . I 
 
 43 
 
 x6 
 
 4897 
 
 4911 
 
 4924 
 
 4938 
 
 4952^965 
 
 43 
 
 I? 
 
 g. 920015 
 
 0029 
 
 oo43 
 
 oo57 
 
 0071 
 
 oo85 
 
 42 
 
 17 
 
 4979 
 
 4992 
 
 5oo6 
 
 5019 
 
 5o33 5o46 
 
 42 
 
 i8 
 
 0099 
 
 01 13 
 
 0127 
 
 oi4i 
 
 0x56 
 
 0170 
 
 4i 
 
 18 
 
 5o6o 
 
 5073 
 
 5087 
 
 5xoo 
 
 5xx4 5x27 
 
 4x 
 
 19 
 
 oi84 
 
 0198 
 
 0212 
 
 0226 
 
 0240 
 
 0254 
 
 4oj X9 
 
 5i4i 
 
 5x54 
 
 5x68 
 
 5x8x 
 
 5x95 
 
 52o8 
 
 4o 
 
 20 
 
 9.920268 
 
 0282 
 
 0296 
 
 o3io 
 
 o324 
 
 o338 
 
 39 20 
 
 9.925222 
 
 5235 
 
 5249 
 
 5262 
 
 5276 
 
 5289 
 
 39 
 
 21 
 
 o352 
 
 o366 
 
 o38o 
 
 0394 
 
 o4o8 
 
 0422 
 
 38 
 
 2X 
 
 53o3 
 
 53x6 
 
 533o 
 
 5343 
 
 5357 
 
 5370 
 
 38 
 
 22 
 
 o436 
 
 o45o 
 
 o464 
 
 0478 
 
 0492 
 
 o5o6 
 
 37 
 
 22 
 
 5384 
 
 5397 
 
 54xx 
 
 5424 
 
 5438!545x 
 
 37 
 
 23 
 
 o520 
 
 o534 
 
 o548 
 
 o562 
 
 0576 
 
 oSgo 
 
 36 
 
 23 
 
 5465 
 
 5478 
 
 549X 
 
 55o5 
 
 55x8 5532 
 
 36 
 
 24 
 
 o6o4 
 
 0618 
 
 o632 
 
 o646 
 
 0660 
 
 0674 
 
 35 
 
 24 
 
 5545 
 
 5559 
 
 5572 
 
 5586 
 
 5599 56x3 
 
 35 
 
 25 
 
 0688,0702 
 
 0716 
 
 0730 
 
 0744 
 
 0758 
 
 34 
 
 25 
 
 5626 
 
 564o 
 
 5653 
 
 5667 
 
 568o 
 
 5693 
 
 34 
 
 26 
 
 0772 0786 
 
 0800 
 
 08 1 4 
 
 0828 
 
 0842 
 
 33 
 
 26 
 
 5707 
 
 5720 
 
 5734 
 
 5747 
 
 5761 
 
 5774 
 
 33 
 
 27 
 
 o856 0869 
 
 o883 
 
 0897 
 
 091 1 
 
 0925 
 
 32 
 
 27 
 
 5788 
 
 58oi 
 
 58x4 
 
 5828 
 
 584i 
 
 5855 
 
 32 
 
 28 
 
 0939 0953 
 
 0967 
 
 0981 
 
 0995 
 
 1009 
 
 3x 
 
 28 
 
 5868 
 
 5882 
 
 5895 
 
 5908 
 
 5922 
 
 5935 
 
 3x 
 
 29 
 
 1023 
 
 1037 
 
 io5i 
 
 io65 
 
 X079 
 
 1093 
 
 3o 
 
 29 
 
 5949 
 
 5962 
 
 5976 
 
 5989 
 
 6002 60x6 
 
 3o 
 
 3o 
 
 9.921 107 
 
 1 121 
 
 1 1 34 
 
 ii48 
 
 1 162 
 
 X I 76 
 
 29 
 
 3o 
 
 9.926029 
 
 6043 
 
 6o56 
 
 6069 
 
 60836096 
 
 29 
 
 3i 
 
 1190 
 
 I2o4 
 
 1218 
 
 1232 
 
 X246 
 
 X260 
 
 28 
 
 3i 
 
 61x0 
 
 6x23 
 
 6x36 
 
 6x5o 
 
 6x63|6x77 
 
 28 
 
 32 
 
 1274 
 
 1288 
 
 l302 
 
 i3i5 
 
 x329 
 
 x343 
 
 27 
 
 32 
 
 G190 
 
 6203 
 
 6217 
 
 6230 
 
 6244|6257 
 
 27 
 
 33 
 
 i357 
 
 1371 
 
 i385 
 
 i399 
 
 x4i3 
 
 1427 
 
 26 
 
 33 
 
 6270 
 
 6284 
 
 6297 
 
 63xx 
 
 6324i6337 
 
 26 
 
 34 
 
 i44i 
 
 1455 
 
 i468 
 
 l482 
 
 1496 
 
 i5xo 
 
 25 
 
 34 
 
 635i 
 
 6364 
 
 6377 
 
 639X 
 
 64o4 64ib 
 
 25 
 
 35 
 
 i524 
 
 i538 
 
 i552 
 
 1 566 
 
 x58o 
 
 1593 
 
 24 
 
 35 
 
 643 1 
 
 6444 
 
 6458 
 
 6471 
 
 6484^6498 
 
 24 
 
 36 
 
 1607 
 
 1621 
 
 i635 
 
 1649 
 
 x663 
 
 1677 
 
 23 
 
 36 
 
 65ix 
 
 6525 
 
 6538 
 
 655x 
 
 6565:6578 
 
 23 
 
 37 
 
 1 69 1 
 
 1704 
 
 1718 
 
 1732 
 
 1746 
 
 X760 
 
 22 
 
 37 
 
 6591 
 
 66o5 
 
 6618 
 
 663x 
 
 6645 6658 
 
 22 
 
 38 
 
 1774 
 
 1788 
 
 l802 
 
 i8i5 
 
 1829 
 
 1843 
 
 21 
 
 38 
 
 667X 
 
 6685 
 
 6698 
 
 67x1 
 
 6725 6738 
 
 2X 
 
 39 
 
 1857 
 
 1871 
 
 i885 
 
 1899 
 
 19x2 
 
 1926 
 
 20 
 
 39 
 
 675X 
 
 6765 
 
 6778 
 
 6791 
 
 68o5 68i8 
 
 20 
 
 4o 
 
 9.921940 
 
 1954 
 
 1968 
 
 1982 
 
 X995 
 
 2009 
 
 19 
 
 40 
 
 9.92683X 
 
 6845 
 
 6858 
 
 687X 
 
 68856898 
 
 •9 
 
 4i 
 
 2023 
 
 2037 
 
 2o5l 
 
 2 06 5 
 
 2079 
 
 2092 
 
 18 
 
 4i 
 
 691 X 
 
 6925 
 
 6938 
 
 6951 
 
 6965,6978 
 
 18 
 
 42 
 
 2106 
 
 2120 
 
 2i34 
 
 2i48 
 
 2x62 
 
 2175 
 
 17 
 
 42 
 
 699X 
 
 7oo5 
 
 7018 
 
 7o3x 
 
 7044 
 
 7o58 
 
 17 
 
 43 
 
 2189 
 
 2203 
 
 2217 
 
 223 I 
 
 2244 
 
 2258 
 
 x6 
 
 43 
 
 7071 
 
 7084 
 
 7098 
 
 7x11 
 
 7x24 
 
 7x38 
 
 16 
 
 44 
 
 2272 
 
 2286 
 
 23oo 
 
 23i3 
 
 2327 
 
 2 341 
 
 i5 
 
 44 
 
 7x5x 7164 
 
 7177 
 
 719X 
 
 7204 
 
 7217 
 
 x5 
 
 45 
 
 2355 
 
 2369 
 
 2383 
 
 2396 
 
 2410 
 
 2424 
 
 i4 
 
 45 
 
 7231 
 
 7244 
 
 7257 
 
 7270 
 
 7284 
 
 7297 
 
 i4 
 
 46 
 
 2438 
 
 2452 
 
 2465 
 
 2479 
 
 2493 
 
 2507 
 
 x3 
 
 46 
 
 73x0 
 
 7324 
 
 7337 
 
 7350 
 
 7363 
 
 7377 
 
 x3 
 
 47 
 
 2520 
 
 2534 
 
 2548 
 
 2562 
 
 2576 
 
 2589 
 
 X2 
 
 47 
 
 7390 
 
 74o3 
 
 74i6 
 
 743o 
 
 7443 
 
 7456 
 
 X2 
 
 48 
 
 2603 
 
 2617 
 
 263i 
 
 2644 
 
 2658 
 
 2672 
 
 XI 
 
 48 
 
 7470 
 
 7483 
 
 7496 
 
 7509 
 
 7523 
 
 7536 
 
 X I 
 
 49 
 
 2686 
 
 3700 
 
 2713 
 
 2727 
 
 2741 
 
 2755 
 
 10 
 
 49 
 
 7549 
 
 7562 
 
 7576 
 
 7589 
 
 7602 
 
 76x5 
 
 XO 
 
 5o 
 
 9 922768 
 
 2782 
 
 2796 
 
 2810 
 
 2823 
 
 2837 
 
 9 
 
 5o 
 
 9.927629,7642 
 
 7655 
 
 7668 
 
 768X 
 
 7695 
 
 9 
 
 5i 
 
 285i 
 
 2865 
 
 2878 
 
 2892 
 
 2906 
 
 2920 
 
 8 
 
 5x 
 
 7708 
 
 7721 
 
 7734 
 
 7748 
 
 7761 
 
 7774 
 
 8 
 
 52 
 
 2933 
 
 2947 
 
 2961 
 
 2975 
 
 2988 
 
 3oo2 
 
 7 
 
 52 
 
 7787 
 
 78ox 
 
 78x4 
 
 7827 
 
 7840 
 
 7853 
 
 7 
 
 53 
 
 3oi6 
 
 3o3o 
 
 3o43 
 
 3o57 
 
 3071 
 
 3o84 
 
 6 
 
 53 
 
 7867 
 
 7880 
 
 7893 
 
 7906 
 
 7920 
 
 7933 
 
 6 
 
 54 
 
 3098 
 
 3i 12 
 
 3x26 
 
 3i39 
 
 3x53 
 
 3x67 
 
 5 
 
 54 
 
 7946 
 
 7959 
 
 7972 
 
 7986 
 
 7999:80x2 
 
 5 
 
 55 
 
 3i8i 
 
 3194 
 
 3208 
 
 3222 
 
 3235 
 
 3249 
 
 4 
 
 55 
 
 8025 
 
 8o38 
 
 8o52 
 
 8o65 
 
 8078 8091 
 
 4 
 
 56 
 
 3263 
 
 3277 
 
 3290 
 
 33o4 
 
 33i8 
 
 333x 
 
 3 
 
 56 
 
 8xo4 
 
 8xx8 
 
 8x3x 
 
 8x44 
 
 8x57 
 
 8x70 
 
 3 
 
 57 
 
 3345 
 
 3359 
 
 3372 
 
 3386 
 
 3400 
 
 34i4 
 
 2 
 
 57 
 
 8x83 
 
 8x97 
 
 82x0 
 
 8223 
 
 8236 
 
 8249 
 
 2 
 
 58 
 
 3427 
 
 3441 
 
 3455 
 
 3468 
 
 3482 
 
 3496 
 
 I 
 
 58 
 
 8263 
 
 8276 
 
 8289 
 
 83o2 
 
 83i5 
 
 8328 
 
 X 
 
 59 
 
 3509 
 
 3523 
 
 3537 
 
 355o 
 
 3564 
 
 3578 
 
 
 
 d 
 
 59 
 
 834218355 
 
 8368 
 
 838x 
 
 8394 
 
 8407 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 60" 1 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10' 
 
 
 Co-sine of 33 Degrees. 
 
 Co-sine of 32 Degrees. 
 
 P P«r^ i 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 r. rare ^ ^ ^ ^ g ^ g jq 11 13 
 
 p p ,jl" 3" 3" 4" 5" 6" 7" 8" 9" 
 v.i-m-^^ 3 4 5 7 8 9 11 13 
 

 
 
 
 LOGAKITHMIC 
 
 Tangents. 
 
 
 
 
 
 81 
 
 
 Tangent of 56 Degrees. 
 
 - 
 
 d 
 
 Tangent of 57 Degrees. 
 
 5y 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 1 50" 
 
 0" 1 10" 1 20" 
 
 30" 
 
 40" 
 
 50" 
 7713 
 
 c 
 
 10. 17101;: 
 
 loSt 
 
 iio3 
 
 "49 
 
 1194 
 
 1240 
 
 5^ 
 
 
 
 10.187483 
 
 7529I7575 
 
 7U21 
 
 7667 
 
 I 
 
 1285 
 
 i33i 
 
 1376 
 
 1421 
 
 1467 
 
 l5l2 
 
 58 
 
 I 
 
 7759 
 
 7805 
 
 785i 
 
 7898 
 
 7944 7990 
 
 58 
 
 2 
 
 i558 
 
 i6o3 
 
 1649 
 
 1694 
 
 1739 
 
 1785 
 
 57 
 
 2 
 
 8o36 
 
 8082 
 
 8128 
 
 8174 
 
 822018267 
 
 57 
 
 3 
 
 i83c 
 
 1876 
 
 1921 
 
 1967 
 
 2012 
 
 2o58 
 
 56 
 
 3 
 
 83i3 
 
 8359 
 
 84o5 
 
 845 1 
 
 8497 
 
 8543 
 
 56 
 
 4 
 
 2I03 
 
 2149 
 
 2194 
 
 2239 
 
 2285 
 
 233o 
 
 55 
 
 4 
 
 8590 
 
 8636 
 
 8682 
 
 8728 
 
 8774 
 
 8820 
 
 55 
 
 5 
 
 2376 
 
 2421 
 
 2467 
 
 25l2 
 
 2558 
 
 2603 
 
 54 
 
 5 
 
 8866 
 
 8913 
 
 8959 
 
 9005 
 
 9o5x 
 
 9097 
 
 54 
 
 6 
 
 2649 
 
 2694 
 
 2740 
 
 2785 
 
 283i 
 
 2876 
 
 53 
 
 6 
 
 9143 
 
 9190 
 
 9236 
 
 9282 
 
 9328 
 
 9374 
 
 53 
 
 7 
 
 2922 
 
 2967 
 
 3oi3 
 
 3o58 
 
 3io4 
 
 3i49 
 
 52 
 
 7 
 
 9420 
 
 9467 
 
 95i3 
 
 9559 
 
 9605 
 
 9651 
 
 52 
 
 8 
 
 3195 
 
 3240 
 
 3286 
 
 333i 
 
 3377 
 
 3422 
 
 5i 
 
 8 
 
 9698 
 
 9744 
 
 9790 
 
 9836 
 
 9882 
 
 9929 
 
 5i 
 
 9 
 
 3468 
 
 35i3 
 
 3559 
 
 36o4 
 
 365o 
 
 3695 
 
 5o 
 
 9 
 
 9975 
 
 . .21 
 
 ..67 
 
 .ii3 
 
 . 160 
 
 .206 
 
 5o 
 
 10 
 
 10. 173741 
 
 3786 
 
 3832 
 
 3877 
 
 3923 
 
 3968 
 
 49 
 
 10 
 
 10. 190252 
 
 0298 
 
 o344 
 
 0391 
 
 0437 
 
 o483 
 
 49 
 
 11 
 
 4oi4 
 
 4o6o 
 
 4io5 
 
 4i5i 
 
 4196 
 
 4242 
 
 48 
 
 11 
 
 0529 
 
 0576 
 
 0622 
 
 0668 
 
 0714 
 
 0760 
 
 48 
 
 12 
 
 4287 
 
 4333 
 
 4378 
 
 4424 
 
 4469 
 
 45i5 
 
 47 
 
 12 
 
 0807 
 
 o853 
 
 0899 
 
 0945 
 
 0992 
 
 io38 
 
 47 
 
 i3 
 
 456i 
 
 4606 
 
 4652 
 
 4697 
 
 4743 
 
 4788 
 
 46 
 
 i3 
 
 1084 
 
 ii3o 
 
 1177 
 
 1223 
 
 1269 
 
 i3x5 
 
 46 
 
 i4 
 
 4334 
 
 488o 
 
 4925 
 
 4971 
 
 5oi6 
 
 5o62 
 
 45 
 
 i4 
 
 i362 
 
 i4o8 
 
 1454 
 
 i5oi 
 
 1547 
 
 1593 
 
 45 
 
 i5 
 
 5i07 
 
 5j53 
 
 5199 
 
 5244 
 
 5290 
 
 5335 
 
 44 
 
 i5 
 
 1639 
 
 1686 
 
 1732 
 
 1778 
 
 1824 
 
 1871 
 
 44 
 
 i6 
 
 538i 
 
 5427 
 
 5472 
 
 55i8 
 
 5563 
 
 5609 
 
 43 
 
 16 
 
 1917 
 
 1963 
 
 2010 
 
 2o56 
 
 2102 
 
 2149 
 
 43 
 
 17 
 
 5655 
 
 5700 
 
 5746 
 
 5791 
 
 5837 
 
 5883 
 
 42 
 
 17 
 
 2195 
 
 2241 
 
 2287 
 
 2334 
 
 238o 
 
 2426 
 
 42 
 
 i8 
 
 5928 
 
 5974 
 
 6019 
 
 6o65 
 
 61 1 1 
 
 6i56 
 
 4i 
 
 18 
 
 2473 
 
 25i9 
 
 2565 
 
 26x2 
 
 2658 
 
 2704 
 
 4i 
 
 19 
 
 6202 
 
 6247 
 
 6293 
 
 6339 
 
 6384 
 
 643o 
 
 4o 
 
 19 
 
 2751 
 
 2797 
 
 2843 
 
 2890 
 
 2936 
 
 2982 
 
 4o 
 
 20 
 
 10. 176476 
 
 6521 
 
 6567 
 
 66i3 
 
 6658 
 
 6704 
 
 39 
 
 20 
 
 10. 193029 
 
 3075 
 
 3l21 
 
 3i68 
 
 32x4 
 
 3260 
 
 39 
 
 21 
 
 6749 
 
 6795 
 
 684i 
 
 6886 
 
 6932 
 
 6978 
 
 38 
 
 21 
 
 3307 
 
 3353 
 
 3399 
 
 3446 
 
 3492 
 
 3538 
 
 38 
 
 22 
 
 7023 
 
 7069 
 
 71 15 
 
 7160 
 
 7206 
 
 7252 
 
 37 
 
 22 
 
 3585 
 
 363i 
 
 3678 
 
 3724 
 
 3770 
 
 3817 
 
 37 
 
 23 
 
 7297 
 
 7343 
 
 7389 
 
 7434 
 
 7480 
 
 7526 
 
 36 
 
 23 
 
 3863 
 
 3909 
 
 3956 
 
 4002 
 
 4o49 
 
 4095 
 
 36 
 
 24 
 
 7571 
 
 7617 
 
 7663 
 
 7708 
 
 7754 
 
 7800 
 
 35 
 
 24 
 
 4i4i 
 
 4i88 
 
 4234 
 
 4281 
 
 4327 
 
 4373 
 
 35 
 
 25 
 
 7846 
 
 7891 
 
 7937 
 
 7983 
 
 8028 
 
 8074 
 
 34 
 
 25 
 
 4420 
 
 4466 
 
 45i3 
 
 4559 
 
 46o5 
 
 4652 
 
 34 
 
 26 
 
 8l20 
 
 8i65 
 
 8211 
 
 8257 
 
 83o3 
 
 8348 
 
 33 
 
 26 
 
 4698 
 
 4745 
 
 4791 
 
 4837 
 
 4884 
 
 4930 
 
 33 
 
 27 
 
 8394 
 
 844o 
 
 8485 
 
 853i 
 
 8577 
 
 8623 
 
 32 
 
 27 
 
 4977 
 
 5o23 
 
 5070 
 
 5ii6 
 
 5x62 
 
 5209 
 
 32 
 
 28 
 
 8668 
 
 8714 
 
 8760 
 
 88o5 
 
 885i 
 
 8897 
 
 3i 
 
 28 
 
 5255 
 
 53o2 
 
 5348 
 
 5395 
 
 5441 
 
 5487 
 
 3i 
 
 29 
 
 8943 
 
 8988 
 
 9034 
 
 9080 
 
 9126 
 
 9171 
 
 3o 
 
 29 
 
 5534 
 
 558o 
 
 5627 
 
 5673 
 
 5720 
 
 5766 
 
 3o 
 
 3o 
 
 10. 179217 
 
 9263 
 
 9309 
 
 9354 
 
 9400 
 
 9446 
 
 29 
 
 3o 
 
 10.195813 
 
 5859 
 
 5906 
 
 5952 
 
 5999 
 
 6045 
 
 29 
 
 3i 
 
 9492 
 
 9537 
 
 9583 
 
 9629 
 
 9675 
 
 9720 
 
 28 
 
 3i 
 
 6091 
 
 6i38 
 
 6i84 
 
 6231 
 
 6277 
 
 6324 
 
 28 
 
 32 
 
 9766 
 
 9812 
 
 9858 
 
 9904 
 
 9949 
 
 9995 
 
 27 
 
 32 
 
 6370 
 
 64i7 
 
 6463 
 
 65io 
 
 6556 
 
 66o3 
 
 27 
 
 33 
 
 10. i8oo4i 
 
 0087 
 
 0l32 
 
 0178 
 
 0224 
 
 0270 
 
 26 
 
 33 
 
 6649 
 
 6696 
 
 6742 
 
 6789 
 
 6835 
 
 6882 
 
 26 
 
 34 
 
 o3i6 
 
 o36i 
 
 o4o7 
 
 0453 
 
 0499 
 
 o545 
 
 25 
 
 34 
 
 6928 
 
 6975 
 
 7021 
 
 7068 
 
 7114 
 
 7161 
 
 25 
 
 35 
 
 0590 
 
 o636 
 
 0682 
 
 0728 
 
 0774 
 
 0819 
 
 24 
 
 35 
 
 7208 
 
 7254 
 
 7301 
 
 7347 
 
 7394 
 
 7440 
 
 24 
 
 36 
 
 o865 
 
 091 1 
 
 0957 
 
 ioo3 
 
 io48 
 
 1094 
 
 23 
 
 36 
 
 7487 
 
 7533 
 
 7580 
 
 7626 
 
 7673 
 
 7719 
 
 23 
 
 37 
 
 I i4o 
 
 1186 
 
 1232 
 
 1278 
 
 i323 
 
 1369 
 
 22 
 
 37 
 
 7766 
 
 7813 
 
 7859 
 
 7906 
 
 7952 
 
 7999 
 
 22 
 
 38 
 
 i4i5 
 
 i46i 
 
 i5o7 
 
 i553 
 
 1598 
 
 1 644 
 
 21 
 
 38 
 
 8045 
 
 8092 
 
 8i38 
 
 8i85 
 
 8232 
 
 8278 
 
 21 
 
 39 
 
 1690 
 
 1736 
 
 1782 
 
 1828 
 
 1874 
 
 1919 
 
 20 
 
 39 
 
 8325 
 
 8371 
 
 84i8 
 
 8465 
 
 85ii 
 
 8558 
 
 20 
 
 4o 
 
 10. 181965 
 
 2011 
 
 2057 
 
 2I03 
 
 2149 
 
 2195 
 
 19 
 
 40 
 
 10. 198604 
 
 865i 
 
 8697 
 
 8744 
 
 8791 
 
 8837 
 
 '9 
 
 4i 
 
 2241 
 
 2286 
 
 2332 
 
 2378 
 
 2424 
 
 2470 
 
 18 
 
 4i 
 
 8884 
 
 8930 
 
 8977 
 
 9024 
 
 9070 
 
 9117 
 
 x8 
 
 42 
 
 25i6 
 
 2562 
 
 2608 
 
 2653 
 
 2699 
 
 2745 
 
 '7 
 
 42 
 
 9164 
 
 9210 
 
 9257 
 
 93o3 
 
 9350 
 
 9397 
 
 17 
 
 43 
 
 2791 
 
 2837 
 
 2883 
 
 2929 
 
 2975 
 
 3021 
 
 16 
 
 43 
 
 9443 
 
 9490 
 
 9537 
 
 9583 
 
 9630 
 
 9676 
 
 16 
 
 44 
 
 3067 
 
 3ll2 
 
 3x58 
 
 3204 
 
 325o 
 
 3296 
 
 i5 
 
 44 
 
 9723 
 
 9770 
 
 9816 
 
 9863 
 
 9910 
 
 9956 
 
 i5 
 
 45 
 
 ■3342 
 
 3388 
 
 3434 
 
 3480 
 
 3526 
 
 3572 
 
 i4 
 
 45 
 
 IO.2O0Oo3 
 
 oo5o 
 
 0096 
 
 0143 
 
 0190 
 
 0236 
 
 i4 
 
 46 
 
 36i8 
 
 3664 
 
 3709 
 
 3755 
 
 38oi 
 
 3847 
 
 i3 
 
 46 
 
 0283 
 
 o33o 
 
 0376 
 
 0423 
 
 0470 
 
 o5i6 
 
 i3 
 
 47 
 
 3893 
 
 3939 
 
 3985 
 
 4o3i 
 
 4077 
 
 4i23 
 
 12 
 
 47 
 
 o563 
 
 0610 
 
 o656 
 
 0703 
 
 0750 
 
 0796 
 
 12 
 
 48 
 
 4169 
 
 42l5 
 
 4261 
 
 4307 
 
 4353 
 
 4399 
 
 1 1 
 
 48 
 
 0843 
 
 0890 
 
 0937 
 
 0983 
 
 xo3o 
 
 1077 
 
 11 
 
 49 
 
 4445 
 
 4491 
 
 4537 
 
 4583 
 
 4629 
 
 4674 
 
 10 
 
 49 
 
 II23 
 
 1 170 
 
 1217 
 
 1263 
 
 x3io 
 
 1357 
 
 10 
 
 5o 
 
 10. 184720 
 
 4766 
 
 4812 
 
 4858 
 
 4904 
 
 4950 
 
 9 
 
 5o 
 
 I0.20l4o4 
 
 i45o 
 
 '497 
 
 i544 
 
 159X 
 
 1637 
 
 9 
 
 5i 
 
 4996 
 
 5o42 
 
 5o88 
 
 5 1 34 
 
 5i8o 
 
 5226 
 
 8 
 
 5i 
 
 i684 
 
 1731 
 
 1777 
 
 1824 
 
 187X 
 
 1918 
 
 8 
 
 52 
 
 5272 
 
 53i8 
 
 5364 
 
 5410 
 
 5456 
 
 55o2 
 
 7 
 
 52 
 
 1964 
 
 201 1 
 
 2o58 
 
 2io5 
 
 2l5l 
 
 2198 
 
 7 
 
 53 
 
 5548 
 
 5594 
 
 564o 
 
 5686 
 
 5732 
 
 5778 
 
 6 
 
 53 
 
 2245 
 
 2292 
 
 2338 
 
 2385 
 
 2432 
 
 2479 
 
 6 
 
 54 
 
 5824 
 
 5871 
 
 5917 
 
 5963 
 
 6009 
 
 6o55 
 
 5 
 
 54 
 
 2526 
 
 2572 
 
 2619 
 
 2666 
 
 27x3 
 
 2759 
 
 5 
 
 55 
 
 6101 
 
 6147 
 
 6193 
 
 6239 
 
 6285 
 
 633i 
 
 4 
 
 55 
 
 2806 
 
 2853 
 
 2900 
 
 2947 
 
 2993 
 
 3o4o 
 
 4 
 
 56 
 
 6377 
 
 6423 
 
 6469 
 
 65i5 
 
 656t 
 
 6607 
 
 3 
 
 56 
 
 3087 
 
 3x34 
 
 3i8i 
 
 3227 
 
 3274 
 
 3321 
 
 3 
 
 57 
 
 6653 
 
 6699 
 
 6745 
 
 6791 
 
 6837 
 
 6884 
 
 2 
 
 57 
 
 3368 
 
 34i5 
 
 3461 
 
 35o8 
 
 3555 
 
 36o2 
 
 2 
 
 58 
 
 6930 
 
 6976 
 
 7022 
 
 7068 
 
 7114 
 
 7160 
 
 I 
 
 58 
 
 3649 
 
 3696 
 
 3742 
 
 3789 
 
 3836 
 
 3883 
 
 1 
 
 59 
 
 7206 
 
 7252 
 
 7298 
 
 7344 
 
 7390 
 
 7437 
 
 
 
 59 
 
 3930 
 
 3977 
 
 4o23 
 
 4070 
 
 4117 
 
 4i64 
 
 
 
 
 60" 1 50" 1 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 'a 
 
 Co-tangent of 33 Degrees. 
 
 Co-tangent of 32 Degrees. 
 
 P. 
 
 „„, j 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 (5 9 14 18 23 27 32 37 41 
 
 P. 
 
 Pnrf i 1" 2" 3" 4" 5" 6" 7" 
 ^"'^5 9 14 19 23 28 33 
 
 8" ! 
 37 4 
 
 
 F 
 
82 
 
 Logarithmic Sines. 
 
 
 Sine of 58 Degrees. 
 
 
 a 
 
 Sine of 59 Degrees. 
 
 
 0" 
 
 10" 
 
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 Tangent of 59 Degrees. 
 
 
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 10.20421 1 
 
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 4492 
 
 4539 
 
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 58 
 
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 57 
 
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 1942 
 
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 5i48 
 
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 56 
 
 3 
 
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 2181 
 
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 2276 
 
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 56 
 
 4 
 
 5336 
 
 5383 
 
 5430 
 
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 5570 
 
 55 
 
 4 
 
 2372 
 
 2419 
 
 2467 
 
 25i5 
 
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 26x0 
 
 55 
 
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 56r7 
 
 5664 
 
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 58o5 
 
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 54 
 
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 2658 
 
 2706 
 
 2754 
 
 2801 
 
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 2897 
 
 54 
 
 6 
 
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 53 
 
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 3i84 
 
 53 
 
 7 
 
 6181 
 
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 6274 
 
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 64i5 
 
 52 
 
 7 
 
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 66o3 
 
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 35i8 
 
 3566 
 
 36i4 
 
 3662 
 
 3710 
 
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 9 
 
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 6838 
 
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 6932 
 
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 38o5 
 
 3853 
 
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 88i3 
 
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 5864 
 
 5912 
 
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 9190 
 
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 42 
 
 17 
 
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 42 
 
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 9331 
 
 9378 
 
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 9519 
 
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 18 
 
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 6488 
 
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 19 
 
 9566 
 
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 22 
 
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 37 
 
 22 
 
 7543 
 
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 37 
 
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 37 
 
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 37 
 
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 38 
 
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 38 
 
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 2359 
 
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 39 
 
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 5426 
 
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 Sine of 61 Degrees. 
 
 
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 1924 
 
 1936 
 
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 58 
 
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 1971 
 
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 I 
 
 58 
 
 3537 
 
 3547 
 
 3557 
 
 3568 
 
 3578 
 
 3588 
 
 1 
 
 59 
 
 9816 
 
 9827 
 
 9838 
 
 9849 
 
 9859 
 
 9870 
 
 
 
 59 
 
 3599 3609 
 
 3619 
 
 3629 
 
 364o 
 
 365o 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 d 
 
 
 60" 1 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 d 
 
 Co-sine of 27 Degrees. 
 
 Co-sine of 26 Degrees. 
 
 P.I 
 
 ,„J1" 2" 3" 4" 5" 6" 7" 8" 9" 
 "']! 3 3 4 5 7 8 9 10 
 
 P. 
 
 P»rfil" 2" 3" 4" 5" 6" 7" 8" 9" 
 ^^'^^jl 23456789 
 

 
 
 
 Logarithmic ' 
 
 Iangents. 
 
 
 
 
 
 87 
 
 3 
 
 
 
 Tangent of 62 Degrees. 
 
 
 d 
 
 Tangent of 63 Degrees. 
 
 59 
 
 0" 
 
 10" 
 
 30" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 40" 
 
 50" 
 
 10.274326 
 
 4376 
 
 4427 
 
 4478 
 
 4529 
 
 458o 
 
 59 
 
 
 
 10.292884 
 
 2886 
 
 2988 
 
 2990 8042 
 
 8094 
 
 ■' I 
 
 463o 
 
 468 1 
 
 4732 
 
 4783 
 
 4834 
 
 4885 
 
 58 
 
 I 
 
 3i46 
 
 8199 
 
 325 1 
 
 33o8 
 
 3355 
 
 3407 
 
 58 
 
 ,i 2 
 
 4935 
 
 4986 
 
 5o37 
 
 5o88 
 
 5189 
 
 5190 
 
 57 
 
 2 
 
 3459 
 
 35n 
 
 3568 
 
 86i5 
 
 8667 
 
 8720 
 
 57 
 
 ' 3 
 
 6240 
 
 5291 
 
 5342 
 
 5398 
 
 5444 
 
 5495 
 
 56 
 
 8 
 
 8772 
 
 8824 
 
 8876 
 
 3928 
 
 8980 
 
 4o3- 
 
 56 
 
 4 
 
 5546 
 
 5597 
 
 5647 
 
 5698 
 
 5749 
 
 58oo 
 
 55 
 
 4 
 
 4o84 
 
 4187 
 
 4189 
 
 4241 
 
 4298 
 
 4345 
 
 55 
 
 , 5 
 
 585i 
 
 5902 
 
 5953 
 
 6oo4 
 
 6o55 
 
 6io5 
 
 54 
 
 5 
 
 4397 
 
 4449 
 
 45o2 
 
 4554 
 
 4606 
 
 4658 
 
 54 
 
 6 
 
 6i56 
 
 6207 
 
 6258 
 
 6809 
 
 6860 
 
 64ii 
 
 58 
 
 6 
 
 4710 
 
 4763 
 
 48i5 
 
 4867 
 
 4919 
 
 4971 
 
 53 
 
 7 
 
 6462 
 
 65i3 
 
 6564 
 
 66i5 
 
 6666 
 
 6717 
 
 52 
 
 7 
 
 5o24 
 
 5076 
 
 5i28 
 
 5 1 80 
 
 5282 
 
 52b5 
 
 52 
 
 8 
 
 6768 
 
 6819 
 
 6870 
 
 6920 
 
 6971 
 
 7022 
 
 5i 
 
 8 
 
 5387 
 
 5889 
 
 5441 
 
 5494 
 
 5546 
 
 5598 
 
 5i 
 
 9 
 
 7073 
 
 7124 
 
 7175 
 
 7226 
 
 7277 
 
 7828 
 
 5o 
 
 9 
 
 565o 
 
 5708 
 
 5755 
 
 5807 
 
 5859 
 
 5912 
 
 5o 
 
 10 
 
 10.277379 
 
 7430 
 
 7481 
 
 7582 
 
 7588 
 
 7634 
 
 49 
 
 ID 
 
 10.295964 
 
 6016 
 
 6068 
 
 6121 
 
 6173 
 
 6225 
 
 49 
 
 II 
 
 7685 
 
 7736 
 
 7787 
 
 7888 
 
 7889 
 
 7940 
 
 48 
 
 II 
 
 6278 
 
 683o 
 
 6882 
 
 6434 
 
 6487 
 
 6539 
 
 48 
 
 12 
 
 7991 
 
 8043 
 
 S094 
 
 8145 
 
 8196 
 
 8247 
 
 47 
 
 12 
 
 6591 
 
 6644 
 
 6696 
 
 6748 
 
 6801 
 
 6853 
 
 47 
 
 i3 
 
 8298 
 
 8349 
 
 84oo 
 
 845i 
 
 85o2 
 
 8558 
 
 46 
 
 i3 
 
 6905 
 
 6958 
 
 7010 
 
 7062 
 
 7115 
 
 7167 
 
 46 
 
 ' i4 
 
 8604 
 
 8655 
 
 8706 
 
 8757 
 
 8809 
 
 8860 
 
 45 
 
 i4 
 
 7219 
 
 7272 
 
 7824 
 
 7877 
 
 7429 
 
 7481 
 
 45 
 
 i5 
 
 8911 
 
 8962 
 
 9013 
 
 9064 
 
 91 15 
 
 9166 
 
 44 
 
 i5 
 
 7534 
 
 7586 
 
 7688 
 
 7691 
 
 7743 
 
 7796 
 
 44 
 
 i6 
 
 9217 
 
 9268 
 
 9320 
 
 9371 
 
 9422 
 
 9473 
 
 48 
 
 16 
 
 7848 
 
 7900 
 
 7953 
 
 8oo5 
 
 8o58 
 
 8110 
 
 43 
 
 I? 
 
 9524 
 
 9575 
 
 9626 
 
 9678 
 
 9729 
 
 9780 
 
 42 
 
 17 
 
 8i63 
 
 82i5 
 
 8267 
 
 8820 
 
 8872 
 
 8425 
 
 42 
 
 i8 
 
 9831 
 
 9882 
 
 9933 
 
 9984 
 
 ..36 
 
 ..87 
 
 4i 
 
 18 
 
 8477 
 
 858o 
 
 8582 
 
 8685 
 
 8687 
 
 8740 
 
 4i 
 
 19 
 
 io.28oi38 
 
 0189 
 
 0240 
 
 0292 
 
 o343 
 
 0894 
 
 40 
 
 19 
 
 8792 
 
 8845 
 
 8897 
 
 8949 
 
 9002 
 
 9054 
 
 4o 
 
 20 
 
 10.280445 
 
 0496 
 
 o548 
 
 0599 
 
 o65o 
 
 0701 
 
 89 
 
 20 
 
 10.299107 
 
 9159 
 
 9212 
 
 9264 
 
 9817 
 
 9870 
 
 39 
 
 21 
 
 0752 
 
 o8o4 
 
 o855 
 
 0906 
 
 0957 
 
 1009 
 
 88 
 
 21 
 
 9422 
 
 9473 
 
 9527 
 
 9580 
 
 9682 
 
 9685 
 
 38 
 
 22 
 
 1060 
 
 nil 
 
 1162 
 
 I2l4 
 
 1265 
 
 1816 
 
 37 
 
 22 
 
 9787 
 
 9790 
 
 9842 
 
 9895 
 
 9947 
 
 . . . . 
 
 37 
 
 23 
 
 i367 
 
 1419 
 
 1470 
 
 l52I 
 
 1572 
 
 1624 
 
 86 
 
 28 
 
 io.3ooo58 
 
 oio5 
 
 oi58 
 
 0210 
 
 0268 
 
 o8i5 
 
 36 
 
 24 
 
 1675 
 
 1726 
 
 1777 
 
 1829 
 
 1880 
 
 1981 
 
 85 
 
 24 
 
 o368 
 
 0421 
 
 0478 
 
 0526 
 
 0578 
 
 o63i 
 
 85 
 
 25 
 
 1983 
 
 2o34 
 
 2o85 
 
 2187 
 
 2188 
 
 2289 
 
 34 
 
 25 
 
 0684 
 
 0786 
 
 0789 
 
 o84i 
 
 0894 
 
 0947 
 
 34 
 
 26 
 
 2291 
 
 2342 
 
 2893 
 
 2445 
 
 2496 
 
 2547 
 
 38 
 
 26 
 
 0999 
 
 io52 
 
 iio5 
 
 1 157 
 
 1210 
 
 1263 
 
 83 
 
 27 
 
 2599 
 
 265o 
 
 2701 
 
 2753 
 
 2804 
 
 2855 
 
 32 
 
 27 
 
 i8i5 
 
 1868 
 
 1421 
 
 1473 
 
 i526 
 
 1579 
 
 82 
 
 28 
 
 2907 
 
 2958 
 
 8009 
 
 8061 
 
 3i 12 
 
 8i64 
 
 81 
 
 28 
 
 i63i 
 
 1 684 
 
 1787 
 
 1789 
 
 1842 
 
 1895 
 
 81 
 
 29 
 
 32i5 
 
 8266 
 
 33i8 
 
 3369 
 
 3421 
 
 3472 
 
 80 
 
 29 
 
 1947 
 
 2000 
 
 2o58 
 
 2106 
 
 2i58 
 
 2211 
 
 3o 
 
 3o 
 
 10.283523 
 
 3575 
 
 3626 
 
 8678 
 
 8729 
 
 8780 
 
 29 
 
 80 
 
 10. 802264 
 
 2816 
 
 2869 
 
 2422 
 
 2475 
 
 2527 
 
 29 
 
 3i 
 
 3832 
 
 3883 
 
 3935 
 
 8986 
 
 4o88 
 
 4089 
 
 28 
 
 81 
 
 258o 
 
 2633 
 
 2686 
 
 2788 
 
 2791 
 
 2844 
 
 28 
 
 32 
 
 4i4o 
 
 4192 
 
 4243 
 
 4295 
 
 4846 
 
 4398 
 
 27 
 
 32 
 
 2897 
 
 2950 
 
 8002 
 
 3o55 
 
 3io8 
 
 8161 
 
 27 
 
 33 
 
 4449 
 
 45oi 
 
 4552 
 
 46o4 
 
 4655 
 
 4707 
 
 26 
 
 88 
 
 8218 
 
 8266 
 
 8819 
 
 8872 
 
 8425 
 
 8478 
 
 26 
 
 34 
 
 4758 
 
 4810 
 
 486i 
 
 4913 
 
 4964 
 
 5oi6 
 
 25 
 
 84 
 
 358o 
 
 8588 
 
 8686 
 
 3689 
 
 8742 
 
 8794 
 
 25 
 
 35 
 
 5067 
 
 5ii9 
 
 5170 
 
 5222 
 
 5278 
 
 5825 
 
 24 
 
 35 
 
 3847 
 
 8900 
 
 8953 
 
 4oo6 
 
 4o59 
 
 4i 12 
 
 24 
 
 36 
 
 5376 
 
 5428 
 
 5479 
 
 558i 
 
 5582 
 
 5684 
 
 28 
 
 86 
 
 4i64 
 
 4217 
 
 4270 
 
 4828 
 
 4876 
 
 4429 
 
 23 
 
 37 
 
 5686 
 
 5737 
 
 5789 
 
 584o 
 
 5892 
 
 5948 
 
 2 2 
 
 37 
 
 4482 
 
 4585 
 
 4588 
 
 464o 
 
 4698 
 
 4746 
 
 22 
 
 ; 38 
 
 5995 
 
 6o46 
 
 6098 
 
 6i5o 
 
 6201 
 
 6253 
 
 21 
 
 88 
 
 4799 
 
 4852 
 
 4905 
 
 4958 
 
 5oi 1 
 
 5o64 
 
 21 
 
 39 
 
 63o4 
 
 6356 
 
 64o8 
 
 6459 
 
 65ii 
 
 6562 
 
 2 
 
 39 
 
 5ii7 
 
 5170 
 
 5223 
 
 5276 
 
 5328 
 
 538] 
 
 20 
 
 :4o 
 
 10.286614 
 
 6666 
 
 6717 
 
 6769 
 
 6821 
 
 6872 
 
 19 
 
 40 
 
 10. 805434 
 
 5487 
 
 5540 
 
 5598 
 
 5646 
 
 5699 
 
 •9 
 
 !4i 
 
 6924 
 
 6975 
 
 7027 
 
 7079 
 
 7180 
 
 7182 
 
 18 
 
 4i 
 
 6752 
 
 58o5 
 
 5858 
 
 591 1 
 
 5964 
 
 601 7 
 
 18 
 
 42 
 
 7234 
 
 7285 
 
 7337 
 
 7889 
 
 7440 
 
 7492 
 
 17 
 
 42 
 
 6070 
 
 6128 
 
 6176 
 
 6229 
 
 6282 
 
 6385 
 
 '7 
 
 43 
 
 7544 
 
 7595 
 
 7647 
 
 7699 
 
 775i 
 
 7802 
 
 16 
 
 48 
 
 6388 
 
 644 1 
 
 6494 
 
 6547 
 
 6600 
 
 6654 
 
 16 
 
 ,44 
 
 7854 
 
 7906 
 
 7957 
 
 8009 
 
 8061 
 
 8118 
 
 i5 
 
 44 
 
 6707 
 
 6760 
 
 6818 
 
 6866 
 
 6919 
 
 6972 
 
 i5 
 
 45 
 
 8164 
 
 8216 
 
 8268 
 
 8819 
 
 8871 
 
 8428 
 
 i4 
 
 45 
 
 7025 
 
 7078 
 
 7181 
 
 7184 
 
 7287 
 
 7290 
 
 i4 
 
 46 
 
 8475 
 
 8526 
 
 8578 
 
 863o 
 
 8682 
 
 8788 
 
 18 
 
 46 
 
 7344 
 
 7897 
 
 745o 
 
 75o3 
 
 7556 
 
 7609 
 
 i3 
 
 47 
 
 8785 
 
 8837 
 
 8889 
 
 8941 
 
 8992 
 
 9044 
 
 12 
 
 47 
 
 7662 
 
 77i5 
 
 7768 
 
 7822 
 
 7875 
 
 7928 
 
 12 
 
 48 
 
 9096 
 
 9148 
 
 9199 
 
 925i 
 
 9808 
 
 9855 
 
 I I 
 
 48 
 
 7981 
 
 8o84 
 
 8087 
 
 8i4i 
 
 8194 
 
 S247 
 
 1 1 
 
 49 
 
 9407 
 
 9458 
 
 9510 
 
 9562 
 
 9614 
 
 9666 
 
 10 
 
 49 
 
 83oo 
 
 8358 
 
 84o6 
 
 846o 
 
 85i3 
 
 8566 
 
 10 
 
 5o 
 
 [0. 289718 
 
 9769 
 
 9821 
 
 9873 
 
 9925 
 
 9977 
 
 9 
 
 5o 
 
 10.808619 
 
 8672 
 
 8726 
 
 8779 
 
 8882 
 
 8885 
 
 9 
 
 5i 
 
 10.290029 
 
 0081 
 
 Ol32 
 
 oi84 
 
 0286 
 
 0288 
 
 8 
 
 5i 
 
 8988 
 
 8992 
 
 9045 
 
 9098 
 
 9i5i 
 
 9205 
 
 8 
 
 52 
 
 o34o 
 
 0392 
 
 0444 
 
 0496 
 
 o547 
 
 0599 
 
 7 
 
 52 
 
 9258 
 
 981 1 
 
 9864 
 
 9418 
 
 9471 
 
 9524 
 
 7 
 
 53 
 
 o65i 
 
 0703 
 
 0755 
 
 0807 
 
 0859 
 
 091 1 
 
 6 
 
 53 
 
 9577 
 
 9681 
 
 9684 
 
 9787 
 
 9790 
 
 9844 
 
 6 
 
 '54 
 
 0963 
 
 ioi5 
 
 1066 
 
 1118 
 
 1 170 
 
 1222 
 
 5 
 
 54 
 
 9897 
 
 9950 
 
 ...4 
 
 ..57 
 
 . no 
 
 .164 
 
 5 
 
 55 
 
 1274 
 
 i326 
 
 1878 
 
 i48o 
 
 1482 
 
 i534 
 
 4 
 
 55 
 
 10.81021 7 
 
 0270 
 
 0824 
 
 0877 
 
 o43o 
 
 o484 
 
 4 
 
 56 
 
 i586 
 
 i638 
 
 1690 
 
 1742 
 
 1794 
 
 i846 
 
 3 
 
 56 
 
 o587 
 
 0590 
 
 0644 
 
 0697 
 
 0750 
 
 0804 
 
 3 
 
 57 
 
 1898 
 
 1950 
 
 2002 
 
 2o54 
 
 2106 
 
 2i58 
 
 2 
 
 57 
 
 0857 
 
 0910 
 
 0964 
 
 1017 
 
 1070 
 
 1124 
 
 2 
 
 58 
 
 2210 
 
 2262 
 
 2814 
 
 2866 
 
 2418 
 
 2470 
 
 I 
 
 58 
 
 1177 
 
 1281 
 
 1284 
 
 1887 
 
 1891 
 
 i444 
 
 I 
 
 59 
 
 2522 
 
 2574 
 
 2626 
 
 2678 
 
 2780 
 
 2782 
 
 
 
 59 
 
 1498 
 
 i55i 
 
 i6o5 
 
 i658 
 
 171 1 
 
 1765 
 
 
 
 
 60" 1 50" 
 
 40" 
 
 30" 1 30" 
 
 10" 
 
 ii 
 
 
 60" 
 
 50" 1 40" 30" 
 
 20" 
 
 10" 
 
 i 
 
 Co-tangent of 27 Degrees, 
 
 Co-tangent of 26 Degrees. 
 
 P vor, i 1" '^" ^" 4" 5" 6" 7" 8" 9" 
 • ^^"' i 5 10 15 21 26 31 36 41 46 
 
 F 
 
 p . jl" 2" 3" 4" 5" 6" 7" 8" 
 •^""|5 11 16 21 26 32 37 42 4 
 
 9" 
 17 
 
 i 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
88 
 
 LOGAEITHMIC SiNES. 
 
 .s 
 
 Sine of 64 Degrees. 
 
 - 
 
 .s 
 
 Sine of 65 Degrees. 
 
 
 0" 1 10" 20" 
 
 30" 1 40" 
 
 50" 
 
 0" 1 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 o 
 
 9.95366c 
 
 3670 
 
 368i 
 
 3691 
 
 3701 
 
 3712:59 
 
 
 
 9.957276 7286 7295 
 
 73o5 
 
 73i5 
 
 7325 
 
 59 
 
 I 
 
 3722 
 
 3732 
 
 3742 
 
 3753 
 
 3763 
 
 377358 
 
 I 
 
 7335:73447354 
 
 7364 
 
 7374 
 
 7384 
 
 58 
 
 2 
 
 3783 
 
 3794 
 
 38o4 
 
 38i4 
 
 3824 
 
 3835:57 
 
 2 
 
 7393 74o3 
 
 74i3 
 
 7423 
 
 7433 
 
 7442 
 
 5? 
 
 3 
 
 3845 
 
 3855 
 
 3865 
 
 3876 
 
 3886 
 
 389656 
 
 3 
 
 7452 
 
 7462 
 
 7472 
 
 7482 
 
 7491 
 
 75oi 
 
 56 
 
 4 
 
 3906 
 
 3917 
 
 3927 
 
 3937 
 
 3947 
 
 3957(55 
 
 4 
 
 75ii 
 
 7521 
 
 753i 
 
 7540 
 
 755o 
 
 7560 
 
 55 
 
 5 
 
 3968 
 
 3978 
 
 3988 
 
 3998 
 
 4009 
 
 4019 54 
 
 5 
 
 7570:7579 
 
 7589 
 
 7599 
 
 7609 
 
 7619 
 
 54 
 
 6 
 
 4029 
 
 4o39 
 
 4o5o 
 
 4o6o 
 
 4070 
 
 4o8o53 
 
 6 
 
 7628,7638 
 
 7648 
 
 7608 
 
 7667 
 
 7677 
 
 53 
 
 7 
 
 4090 
 
 4ioi 
 
 4iii 
 
 4l21 
 
 4i3i 
 
 4i4i 52 
 
 7 
 
 7687,7697 
 
 7707 
 
 7716 
 
 7726 
 
 7736 
 
 52 
 
 8 
 
 4i52 
 
 4162 
 
 4172 
 
 4182 
 
 4192 
 
 42o3;5i 
 
 8 
 
 7746 7755 
 
 7765 
 
 7775 
 
 7785 
 
 I7794 
 
 5i 
 
 9 
 
 42i3 
 
 4223 
 
 4233 
 
 4243 
 
 4254 
 
 4264 5o 
 
 9 
 
 78o4'78i4 
 
 7824 
 
 7833 
 
 7843 7853 
 
 5o 
 
 10 
 
 9.954274 
 
 4284 
 
 4294 
 
 43o5 
 
 43i5 
 
 4325j49 
 
 lO 
 
 9.95786317872 
 
 7882 
 
 7892 
 
 7902 7911 
 
 49 
 
 II 
 
 4335 
 
 4345 
 
 4356 
 
 4366 
 
 4376 
 
 438648 
 
 II 
 
 792117931 
 
 7940 
 
 7950 
 
 7960 7970 
 
 48 
 
 12 
 
 4396 
 
 4406 
 
 4417 
 
 4427 
 
 4437 
 
 4447 
 
 47 
 
 12 
 
 79797989 
 
 7999 
 
 8009 
 
 8018 8028 
 
 47 
 
 i3 
 
 4457 
 
 4468 
 
 4478 
 
 4488 
 
 4498 
 
 45o8 
 
 46 
 
 i3 
 
 8o38 8o47 
 
 8057 
 
 8067 
 
 807718086 
 
 46 
 
 i4 
 
 4518U529 
 
 4539 
 
 4549 
 
 4559 
 
 4569 
 
 45 
 
 ,i4 
 
 8096 8106 
 
 8ii5 
 
 8125 
 
 8i35|8i45 
 
 45 
 
 i5 
 
 45794589 
 
 4600 
 
 46io 
 
 4620 
 
 463o 
 
 44 
 
 !i5 
 
 8i54!8i64 
 
 8174 
 
 8i83 
 
 819318203 
 
 44 
 
 i6 
 
 464o465o 
 
 466 1 
 
 4671 
 
 468 1 
 
 4691 
 
 43 
 
 16 
 
 8213,8222 
 
 8232 
 
 8242 
 
 8251I8261 
 
 43 
 
 17 
 
 470114711 
 
 4721 
 
 4732 
 
 4742 
 
 4752 
 
 42 
 
 17 
 
 8271 8280 
 
 8290 
 
 83oo 
 
 83o9 
 
 83i9 
 
 42 
 
 i8 
 
 4762 4772 
 
 4782 
 
 4792 
 
 48o2 
 
 48i3 
 
 4i 
 
 18 
 
 8329'8339 
 
 8348 
 
 8358 
 
 8368 
 
 8377 
 
 4i 
 
 19 
 
 4823 4833 
 
 4843 
 
 4853 
 
 4863 
 
 4873 
 
 4o 
 
 19 
 
 8387:8397 
 
 84o6 
 
 84i6 
 
 84268435 
 
 4o 
 
 20 
 
 9.9548834894 
 
 4904 
 
 4914 
 
 4924 
 
 4934 
 
 39 
 
 20 
 
 9-9584458455 
 
 8464 
 
 8474 
 
 8484 8493 
 
 39 
 
 21 
 
 49444954 
 
 4964 
 
 4974 
 
 4985 
 
 4995 
 
 38 
 
 21 
 
 85o3,85i3 
 
 8522 
 
 8532 
 
 8542 
 
 855i 
 
 38 
 
 22 
 
 5oo5i5oi5 
 
 5o25 
 
 5o35 
 
 5o45 
 
 5o55 
 
 37 
 
 '22 
 
 856i 8571 
 
 858o 
 
 8590 
 
 86oo:86oQ 
 
 37 
 
 23 
 
 5o65 5075 
 
 5o86 
 
 5096 
 
 5io6 
 
 5ii6 
 
 36 
 
 '23 
 
 86198628 
 
 8638 
 
 8648 
 
 8657 
 
 8667 
 
 36 
 
 24 
 
 5i26'5i36 
 
 5i46 
 
 5i56 
 
 5i66 
 
 5176 
 
 35 
 
 24 
 
 8677,8686 
 
 8696 
 
 8706 
 
 8715 
 
 8725 
 
 35 
 
 25 
 
 5i86 
 
 5196 
 
 5207 
 
 5217 
 
 5227 
 
 5237 
 
 34 
 
 25 
 
 87348744 
 
 8754 
 
 8763 
 
 8773 
 
 8783 
 
 34 
 
 26 
 
 5247 
 
 5257 
 
 5267 
 
 5277 
 
 5287 
 
 5297 
 
 33 
 
 26 
 
 8792 8802 
 
 8812 
 
 8821 
 
 883i 
 
 884o 
 
 33 
 
 27 
 
 5307 
 
 53i7 
 
 5327 
 
 5337 
 
 5348 
 
 5358 
 
 32 
 
 27 
 
 885o886o 
 
 8869 
 
 8879 
 
 8888 
 
 8898 
 
 32 
 
 28 
 
 5363 
 
 5378 
 
 5388 
 
 5398 
 
 5408 
 
 5418 
 
 3i 
 
 28 
 
 8908:8917 
 
 8927 
 
 8937 
 
 8946 
 
 8956 
 
 3i 
 
 29 
 
 5428 
 
 5438 
 
 5448 
 
 5458 
 
 5468 
 
 5478 
 
 3o 
 
 29 
 
 8965,8975 
 
 8985 
 
 8994 
 
 9004 
 
 9013 
 
 3o 
 
 3o 
 
 9.955488 
 
 5498 
 
 55o8 
 
 55i8 
 
 5528 
 
 5538 
 
 29 
 
 3o 
 
 9.959023,9033 
 
 9042 
 
 9o52 
 
 9061 
 
 9071 
 
 29 
 
 3i 
 
 5548 
 
 5559 
 
 5569 
 
 5579 
 
 5589 
 
 5599 
 
 28 
 
 3i 
 
 9080,9090 
 
 9100 
 
 9109 
 
 9119 
 
 9128 
 
 28 
 
 32 
 
 5609 
 
 5619 
 
 5629 
 
 5639 
 
 5649 
 
 5659 
 
 27 
 
 32 
 
 91389148 
 
 9157 
 
 9167 
 
 9176 
 
 9186 
 
 27 
 
 33 
 
 5669 
 
 5679 
 
 5689 5699 
 
 5709 
 
 5719 
 
 26 
 
 33 
 
 9195 9205 
 
 9215 
 
 9224 
 
 9234 
 
 9243 
 
 26 
 
 34 
 
 5729 
 
 5739 
 
 5749 
 
 5759 
 
 5769 
 
 5779 
 
 25 
 
 34 
 
 9253,9262 
 
 9272 
 
 9282 
 
 9291 
 
 9301 
 
 25 
 
 35 
 
 5789 
 
 3799 
 
 5809 
 
 5819 
 
 5829 
 
 5839 
 
 24 
 
 35 
 
 9310 9320 
 
 9329 
 
 9339 
 
 9348 
 
 9358 
 
 24 
 
 36 
 
 58495859 
 
 5869 
 
 5879 
 
 5889 
 
 5899 
 
 23 
 
 36 
 
 9368 9377 
 
 9387 
 
 9396 
 
 9406 
 
 94i5 
 
 23 
 
 37 
 
 59095919 
 
 5929 
 
 5939 
 
 5949 5959 
 
 22 
 
 37 
 
 9425 9434 
 
 9444 
 
 9453 
 
 9463 
 
 9473 
 
 22 
 
 38 
 
 5969 
 
 3979 
 
 5989 
 
 D999 
 
 6009:6019 
 
 21 
 
 38 
 
 9482 9492 
 
 9501 
 
 9511 
 
 9520 
 
 9530 
 
 21 
 
 39 
 
 6029 
 
 6039 
 
 6049 
 
 6059 
 
 6069 
 
 6079 
 
 20 
 
 39 
 
 9539'9549 
 
 9558 
 
 9568 
 
 9577 
 
 9587 
 
 20 
 
 4o 
 
 9.956089 6099 
 
 6108 
 
 6n8 
 
 6128 
 
 6i38 
 
 19 
 
 4o 
 
 9.959596:9606 
 
 9615 
 
 9625 
 
 9634 
 
 9644 
 
 19 
 
 4i 
 
 6i486£58 
 
 6168 
 
 6178 
 
 6188 
 
 6198 
 
 18 
 
 4i 
 
 9654,9663 
 
 9673 
 
 9682 
 
 9692 
 
 9701 
 
 18 
 
 42 
 
 6208 6218 
 
 6228 
 
 6238 
 
 6248 
 
 6258 
 
 17 
 
 42 
 
 9711 9720 
 
 9730 
 
 9739 
 
 9749 
 
 9758 
 
 17 
 
 43 
 
 6268,6278 
 
 6288 
 
 6298 
 
 63o8 
 
 63i7 
 
 16 
 
 43 
 
 9768:9777 
 
 9787 
 
 9796 
 
 9806 
 
 9815 
 
 16 
 
 44 
 
 63276337 
 
 6347 
 
 6357 
 
 63676377 
 
 i5 
 
 44 
 
 9825:9834 
 
 9844 
 
 9853 
 
 9863 
 
 9872 
 
 i5 
 
 45 
 
 63876397 
 
 6407 
 
 64i7 
 
 6427,6437 
 
 i4 
 
 45 
 
 9882 9891 
 
 9900 
 
 9910 
 
 9919 
 
 9929 
 
 i4 
 
 46 
 
 64476457 
 
 6466 
 
 6476 
 
 6486 6496 
 
 i3 
 
 46 
 
 9938!9948 
 
 9957 
 
 9967 
 
 9976 
 
 9986 
 
 i3 
 
 47 
 
 65o6j65i6 6526 
 
 6536 
 
 6546 6556 
 
 12 
 
 47 
 
 9995;. ..5 
 
 ..i4 
 
 ..24 
 
 ..33 
 
 ..43 
 
 12 
 
 48 
 
 6566 6575 6585 
 
 6595 
 
 66o566i5 
 
 I r 
 
 48 
 
 9.960052 0061 
 
 0071 
 
 0080 
 
 0090 
 
 0099 
 
 II 
 
 49 
 
 662566356645 
 
 6655 
 
 66656674 
 
 10 
 
 49 
 
 oio9'oi 18 
 
 0128 
 
 0137 
 
 0147 
 
 oi56 
 
 10 
 
 5o 
 
 9.956684'6694 
 
 6704 
 
 6714 
 
 6724 6734 
 
 9 
 
 5o 
 
 9.960165J0175 
 
 oi84 
 
 0194 
 
 0203 
 
 02l3 
 
 9 
 
 5i 
 
 674416754 
 
 6763 
 
 6773 
 
 6783:6793 
 
 8 
 
 5i 
 
 0222 0232 
 
 0241 
 
 025o 
 
 0260 
 
 0269 
 
 8 
 
 52 
 
 68o3 68r3 
 
 6823 6833 
 
 6843 
 
 6852 
 
 7 
 
 52 
 
 0279 
 
 0288 
 
 0298 
 
 o3o7 
 
 o3i7 
 
 o326 
 
 7 
 
 53 
 
 68626872 
 
 68826892 
 
 6902 
 
 6912 
 
 6 
 
 53 
 
 o335 
 
 o345 
 
 o354 
 
 o364 
 
 0373 
 
 o382 
 
 6 
 
 54 
 
 6921 
 
 6931 
 
 6941 
 
 6951 
 
 6961 
 
 6971 
 
 5 
 
 54 
 
 0392 040T 
 
 o4ii 
 
 0420 
 
 o43o 
 
 0439 
 
 5 
 
 55 
 
 6981J 
 
 6990 
 
 7000 
 
 7010 
 
 7020 
 
 7o3o 
 
 4 
 
 55 
 
 o448o458 
 
 0467 
 
 0477 
 
 o486 
 
 0495 
 
 4 
 
 56 
 
 7040 
 
 7o5o 
 
 7059 
 
 7069 
 
 7079 7089 
 
 3 
 
 56 
 
 o5o5 o5i4 
 
 o524 
 
 o533 
 
 o542 
 
 o552 
 
 3 
 
 57 
 
 7099 
 
 7109 
 
 7118 
 
 7128 
 
 71387148 
 
 2 
 
 57 
 
 o56i 0571 
 
 o58o 
 
 0589 
 
 0599 
 
 0608 
 
 2 
 
 58 
 
 7i58 
 
 7168 
 
 7177 
 
 7187 
 
 7197 
 
 7207 
 
 I 
 
 58 
 
 0618 0627 
 
 o636 
 
 o646 
 
 o655 
 
 o665 
 
 I 
 
 59 
 
 7217 
 
 7227 
 
 7236 
 
 7246 
 
 7256 7266 
 
 
 
 59 
 
 0674 o683 
 
 0693 
 
 0702 
 
 071 1 
 
 0721 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 1 10" 
 
 
 
 60" ! 50" j 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 Co-sine of 25 Degrees. 
 
 Co-sine of 24 Degrees. 
 
 P.P 
 
 ( 1" 2" 3" 4" 5" 6" 7" 8" < 
 ^■(12345678' 
 
 
 P. 
 
 p . j 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 ^^" (123456 789 
 

 
 
 
 Logarithmic 
 
 Tangents, 
 
 
 
 
 
 89 
 
 
 Tangent of 64 Degrees. 
 
 - 
 
 a 
 
 Tangent of 65 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 1 30" 
 
 40" 
 
 50" 
 
 c 
 
 io.3ji8ie 
 
 1872 
 
 1925 
 
 1979 
 
 2o32 
 
 2o85 
 
 59 
 
 
 
 io.33i327 
 
 i382 
 
 1437 1492 
 
 1 547 
 
 1 602 
 
 59 
 
 I 
 
 2139 
 
 2192 
 
 2246 
 
 2299 
 
 2353 
 
 24o6 
 
 58 
 
 I 
 
 i657 
 
 1712 
 
 1767 
 
 1822 
 
 1877 
 
 1932 
 
 58 
 
 2 
 
 2460 
 
 25i3 
 
 2567 
 
 262c 
 
 267/: 
 
 2727 
 
 57 
 
 2 
 
 1987 
 
 2042 
 
 2097 
 
 2i53 
 
 2208 
 
 2263 
 
 57 
 
 3 
 
 2781 
 
 2834 
 
 2888 
 
 2941 
 
 2995 
 
 3o48 
 
 5b 
 
 3 
 
 23i8 
 
 2373 
 
 2428 
 
 2483 
 
 2538 
 
 2593 
 
 56 
 
 4 
 
 3l02 
 
 3i55 
 
 3209 
 
 3263 
 
 33i6 
 
 3370 
 
 55 
 
 4 
 
 2648 
 
 2703 
 
 2758 
 
 2813 
 
 2868 
 
 2924 
 
 55 
 
 5 
 
 3423 
 
 3477 
 
 353o 
 
 3584 
 
 3637 
 
 3691 
 
 54 
 
 5 
 
 2979 
 
 3o34 
 
 3089 
 
 3i44 
 
 3199 
 
 3254 
 
 54 
 
 6 
 
 3745 
 
 3798 
 
 3852 
 
 3905 
 
 3959 
 
 4oi3 
 
 53 
 
 6 
 
 3309 
 
 3364 
 
 3420 
 
 3475 
 
 353o 
 
 3585 
 
 53 
 
 7 
 
 4o66 
 
 4l20 
 
 4173 
 
 4227 
 
 4281 
 
 4334 
 
 52 
 
 7 
 
 364o 
 
 3695 
 
 3751 
 
 38o6 
 
 386i 
 
 3916 
 
 52 
 
 8 
 
 4388 
 
 4442 
 
 4495 
 
 4549 
 
 46o3|4656 
 
 5i 
 
 8 
 
 3971 
 
 4026 
 
 4082 
 
 4137 
 
 4192 
 
 4247 
 
 5i 
 
 9 
 
 4710 
 
 4764 
 
 4817 
 
 4871 
 
 4925 
 
 4978 
 
 5o 
 
 9 
 
 4302 
 
 4358 
 
 44i3 
 
 4468 
 
 4523 
 
 4579 
 
 5o 
 
 10 
 
 10. 3i 5o32 
 
 5o86 
 
 5 1 39 
 
 5193 
 
 5247 
 
 53oo 
 
 49 
 
 10 
 
 10 . 334634 
 
 4689 
 
 4744 
 
 48oo 
 
 4855 
 
 4910 
 
 49 
 
 II 
 
 5354 
 
 5408 
 
 5461 
 
 55i5 
 
 5569 
 
 5623 
 
 48 
 
 1 1 
 
 4965 
 
 502I 
 
 5076 
 
 5i3i 
 
 5i86 
 
 5242 
 
 48 
 
 12 
 
 5676 
 
 5730 
 
 5784 
 
 5838 
 
 5891 
 
 5945 
 
 47 
 
 12 
 
 5297 
 
 5352 
 
 5408 
 
 5463 
 
 55i8 
 
 5574 
 
 47 
 
 i3 
 
 5999 
 
 6o53 
 
 6 1 06 
 
 6160 
 
 6214 
 
 6268 
 
 46 
 
 i3 
 
 5629 
 
 5684 
 
 5740 
 
 5795 
 
 585o 
 
 5906 
 
 46 
 
 i4 
 
 6321 
 
 6375 
 
 6429 
 
 6483 
 
 6537 
 
 6590 
 
 45 
 
 i4 
 
 5961 
 
 6016 
 
 6072 
 
 6127 
 
 6182 
 
 6238 
 
 45 
 
 i5 
 
 6644 
 
 6698 
 
 6762 
 
 6806 
 
 6860 
 
 6913 
 
 44 
 
 i5 
 
 6293 
 
 6349 
 
 64o4 
 
 6459 
 
 65i5 
 
 6570 
 
 44 
 
 i6 
 
 6967 
 
 7021 
 
 7075 
 
 7129 
 
 7183 
 
 7236 
 
 43 
 
 16 
 
 6625 
 
 6681 
 
 6736 
 
 6792 
 
 6847 
 
 6903 
 
 43 
 
 17 
 
 7290 
 
 7344 
 
 7398 
 
 7452 
 
 75o6 
 
 7560 
 
 42 
 
 •7 
 
 6958 
 
 7oi3 
 
 7069 
 
 7124 
 
 7180 
 
 7235 
 
 42 
 
 i8 
 
 7613 
 
 7667 
 
 7721 
 
 7775 
 
 7829 
 
 7883 
 
 4i 
 
 18 
 
 7291 
 
 7346 
 
 74o2 
 
 7457 
 
 75i3 
 
 7568 
 
 4i 
 
 '9 
 
 7937 
 
 7991 
 
 8045 
 
 8099 
 
 8i53 
 
 8206 
 
 4o 
 
 19 
 
 7624 
 
 7679 
 
 7735 
 
 7790 
 
 7846 
 
 7901 
 
 4o 
 
 20 
 
 10.318260 
 
 83i4 
 
 8368 
 
 8422 
 
 8476 
 
 853o 
 
 39 
 
 20 
 
 10. 337957 
 
 8012 
 
 8068 
 
 8123 
 
 8179 
 
 8234 
 
 39 
 
 21 
 
 8584 
 
 8638 
 
 8692 
 
 8746 
 
 8800 
 
 8854 
 
 38 
 
 21 
 
 8290 
 
 8345 
 
 84oi 
 
 8456 
 
 85i2 
 
 8568 
 
 38 
 
 22 
 
 8908 
 
 8962 
 
 9016 
 
 9070 
 
 9124 
 
 9178 
 
 37 
 
 22 
 
 8623 8679 
 
 8734 
 
 8790 
 
 8845 
 
 8901 
 
 37 
 
 23 
 
 9232 
 
 9286 
 
 9340 
 
 9394 
 
 9448 
 
 9502 
 
 36 
 
 23 
 
 8957 9012 
 
 9068 
 
 9123 
 
 9179 
 
 9235 
 
 36 
 
 24 
 
 9556 
 
 9610 
 
 9664 
 
 9718 
 
 9772 
 
 9826 
 
 35 
 
 24 
 
 9290 9346 
 
 9402 
 
 9457 
 
 95i3 
 
 9569 
 
 35 
 
 25 
 
 9880 
 
 9934 
 
 9988 
 
 ..42 
 
 ..96 
 
 .i5i 
 
 34 
 
 25 
 
 9624 
 
 9680 
 
 9735 
 
 979' 
 
 9847 
 
 9902 
 
 34 
 
 26 
 
 10 . 3202o5 
 
 0259 
 
 o3i3 
 
 o367 
 
 0421 
 
 0475 
 
 33 
 
 26 
 
 9958 
 
 ..i4 
 
 ..70 
 
 . 125 
 
 .181 
 
 . 237 
 
 33 
 
 27 
 
 o529 
 
 o583 
 
 0637 
 
 0692 
 
 0746 
 
 0800 
 
 32 
 
 27 
 
 10 .340292 
 
 o348 
 
 o4o4 
 
 o46o 
 
 o5i5 
 
 0571 
 
 32 
 
 28 
 
 o854 
 
 0908 
 
 0962 
 
 1016 
 
 1071 
 
 1X25 
 
 3i 
 
 28 
 
 0627 
 
 0682 
 
 0738 
 
 0794 
 
 o85o 
 
 0905 
 
 3i 
 
 29 
 
 1 1 79 
 
 1233 
 
 1287 
 
 i34i 
 
 1396 
 
 i45o 
 
 3o 
 
 29 
 
 0961 
 
 1017 
 
 1073 
 
 1 129 
 
 ii84 
 
 1240 
 
 3o 
 
 3o 
 
 io.32i5o4 
 
 i558 
 
 1612 
 
 1666 
 
 1721 
 
 1775 
 
 29 
 
 3o 
 
 10 .341296 
 
 i352 
 
 i4o8 
 
 i463 
 
 i5i9 
 
 1575 
 
 29 
 
 3i 
 
 1829 
 
 i883 
 
 1938 
 
 1992 
 
 2o46 
 
 2100 
 
 28 
 
 3i 
 
 i63i 
 
 1687 
 
 1742 
 
 1798 
 
 i854 
 
 1910 
 
 28 
 
 32 
 
 2i54 
 
 2209 
 
 2263 
 
 23i7 
 
 2371 
 
 2426 
 
 27 
 
 32 
 
 1966 
 
 2022 
 
 2078 
 
 2i33 
 
 2189 
 
 2245 
 
 27 
 
 33 
 
 2480 
 
 2534 
 
 2588 
 
 2643 
 
 2697 
 
 2751 
 
 26 
 
 33 
 
 23oi 
 
 2357 
 
 24i3 
 
 2469 
 
 2525 
 
 258i 
 
 26 
 
 34 
 
 2806 
 
 2860 
 
 2914 
 
 2968 
 
 3o23 
 
 3077 
 
 25 
 
 34 
 
 2636 
 
 2692 
 
 2748 
 
 2804 
 
 2860 
 
 2916 
 
 25 
 
 35 
 
 3i3i 
 
 3 1 86 
 
 }240 
 
 3294 
 
 3349 
 
 34o3 
 
 24 
 
 35 
 
 2972 
 
 3028 
 
 3o84 
 
 3i4o 
 
 3196 
 
 3252 
 
 24 
 
 36 
 
 3457 
 
 35i2 
 
 3566 
 
 3620 
 
 3675 
 
 3729 
 
 23 
 
 36 
 
 33o8 
 
 3364 
 
 3420 
 
 3476 
 
 3532 
 
 3588 
 
 23 
 
 37 
 
 3783 
 
 3838 
 
 3892 
 
 3947 
 
 4ooi 
 
 4o55 
 
 22 
 
 37 
 
 3644 
 
 3700 
 
 3756 
 
 38 1 2 
 
 3868 
 
 3924 
 
 22 
 
 38 
 
 4i 10 
 
 4i64 
 
 4219 
 
 4273 
 
 4327 
 
 4382 
 
 2 1 
 
 38 
 
 3980 
 
 4o36 
 
 4092 
 
 4i48 
 
 4204 
 
 4260 
 
 21 
 
 39 
 
 4436 
 
 4491 
 
 4545 
 
 4599 
 
 4654 
 
 4708 
 
 20 
 
 39 
 
 43i6 
 
 4372 
 
 4428 
 
 4484 
 
 454o 
 
 4596 
 
 20 
 
 4o 
 
 10.324763 
 
 4817 
 
 4872 
 
 4926 
 
 4981 
 
 5o35 
 
 19 
 
 4o 
 
 lo .344652 
 
 4708 
 
 4764 
 
 4821 
 
 4877 
 
 4933 
 
 19 
 
 4i 
 
 5089 
 
 5r44 
 
 5198 
 
 5253 
 
 5307 
 
 5362 
 
 18 
 
 4i 
 
 4989 
 
 5o45 
 
 5ioi 
 
 5i57 
 
 52i3 
 
 5269 
 
 18 
 
 42 
 
 5416 
 
 5471 
 
 5525 
 
 558o 
 
 5634 
 
 568g 
 
 17 
 
 42 
 
 5326 
 
 5382 
 
 5438 
 
 5494 
 
 555o 
 
 56o6 
 
 17 
 
 43 
 
 5743 
 
 5798 
 
 5852 
 
 5907 
 
 5962 
 
 6016 
 
 16 
 
 43 
 
 5663 
 
 5719 
 
 5775 
 
 583i 
 
 5887 
 
 5943 
 
 16 
 
 44 
 
 6071 
 
 6125 
 
 6180 
 
 6234 
 
 6289 
 
 6343 
 
 i5 
 
 44 
 
 6000 
 
 6o56 
 
 61 12 
 
 6168 
 
 6224 
 
 6281 
 
 i5 
 
 45 
 
 6398 
 
 6453 
 
 65o7 
 
 6562 
 
 6616 
 
 6671 
 
 i4 
 
 45 
 
 6337 
 
 6393 
 
 6449 
 
 65o6 
 
 6562 
 
 6618 
 
 i4 
 
 46 
 
 6726 
 
 6780 
 
 6835 
 
 6889 
 
 6944 
 
 6999 
 
 i3 
 
 46 
 
 6674 
 
 6731 
 
 6787 
 
 6843 
 
 6899 
 
 6956 
 
 i3 
 
 47 
 
 7053 
 
 7108 
 
 7162 
 
 7217 
 
 7272 
 
 7326 
 
 12 
 
 47 
 
 7012 
 
 7068 
 
 7125 
 
 7181 
 
 7237 
 
 7293 
 
 12 
 
 48 
 
 7381 
 
 7436 
 
 7490 
 
 7545 
 
 7600 
 
 7654 
 
 1 1 
 
 48 
 
 7350 
 
 7406 
 
 7462 
 
 7519 
 
 7575 
 
 763i 
 
 II 
 
 49 
 
 7709 
 
 7764 
 
 7818 
 
 7873 
 
 7928 
 
 7982 
 
 10 
 
 49 
 
 7688 
 
 7744 
 
 7800 
 
 7857 
 
 79'3 7969 
 
 10 
 
 5o 
 
 10.328037 
 
 8092 
 
 8i47 
 
 8201 
 
 8256 
 
 83ii 
 
 9 
 
 5o 
 
 10.348026 
 
 8082 
 
 8139 
 
 8195 
 
 «25i 83o8 
 
 9 
 
 5i 
 
 8365 
 
 8420 
 
 8475 
 
 853o 
 
 8584 
 
 8639 
 
 8 
 
 5i 
 
 8364 
 
 8421 
 
 8477 
 
 8533 
 
 8590 
 
 8646 
 
 8 
 
 52 
 
 8694 
 
 8749 
 
 88o3 
 
 8858 
 
 8913 
 
 8968 
 
 7 
 
 52 
 
 8703 
 
 8759 
 
 88i5 
 
 8872 
 
 8928 
 
 8985 
 
 7 
 
 53 
 
 9023 
 
 9077 
 
 9i32 
 
 9187 
 
 9242 
 
 9297 
 
 6 
 
 53 
 
 9041 
 
 9098 
 
 9154 
 
 921 I 
 
 9267 
 
 9324 
 
 6 
 
 54 
 
 9351 
 
 9406 
 
 9461 
 
 9516 
 
 9571 
 
 9625 
 
 5 
 
 54 
 
 9380 
 
 9437 
 
 9493 
 
 9550 
 
 9606 
 
 9663 
 
 5 
 
 55 
 
 9680 
 
 9735 
 
 9790 
 
 9845 
 
 9900 
 
 9955 
 
 4 
 
 55 
 
 9719 
 
 9776 
 
 9832 
 
 9889 
 
 9945 
 
 . . .2 
 
 4 
 
 56 
 
 10.330009 
 
 0064 
 
 01 19 
 
 0174 
 
 0229 
 
 0284 
 
 3 
 
 56 
 
 io.35oo58 
 
 01 15 
 
 0171 
 
 0228 
 
 0285 
 
 o34i 
 
 3 
 
 57 
 
 0339 
 
 0394 
 
 o448 
 
 o5o3 
 
 o558 
 
 o6i3 
 
 2 
 
 57 
 
 0398 
 
 0454 
 
 o5i I 
 
 0567 
 
 0624 
 
 0681 
 
 2 
 
 58 
 
 0668 
 
 0723 
 
 0778 
 
 o833 
 
 0888 
 
 0943 
 
 I 
 
 58 
 
 0737 
 
 0794 
 
 o85o 
 
 0907 
 
 0964 
 
 1020 
 
 I 
 
 59 
 
 0998 
 
 io53 
 
 1 108 
 
 ii63 
 
 1218 
 
 1272 
 
 
 
 59 
 
 1077 
 
 1 1 34 
 
 T 190 
 
 1247 
 
 i3o4 
 
 i36o 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 a 
 
 i 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 20" 1 
 
 10" 
 
 .9 
 
 Go-tangent of 25 Degrees. 
 
 Co-tangent of 24 Degrees. 
 
 P. 
 
 p„, i 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 ^^"15 11 16 23 27 33 38 43 49 
 
 P. 
 
 p , j 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 ''"I 6 11 17 22 28 33 39 45 50 
 
90 
 
 LoGARiTUMic Sines. 
 
 a 
 
 Sine of 6C Dejjfrees. 
 
 o 
 I 
 
 2 
 
 3 
 4 
 5 
 6 
 
 7 
 
 8 
 
 9 
 
 10 
 
 II 
 
 12 
 
 i3 
 
 i4 
 i5 
 i6 
 
 17 
 i8 
 
 '9 
 
 20 
 21 
 22 
 23 
 
 24 
 25 
 
 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 
 
 5i 
 
 52 
 
 53 
 
 54 
 55 
 56 
 
 57 
 58 
 
 59 
 
 .960730 
 
 0786 
 o843 
 0899 
 0955 
 
 lOI I 
 
 1067 
 
 1 123 
 
 1179 
 
 12 35 
 
 .9G1290 
 
 1 346 
 
 l402 
 
 i458 
 i5i3 
 1 569 
 1624 
 1680 
 1735 
 1791 
 .961846 
 1902 
 1957 
 2012 
 2067 
 
 2 123 
 2178 
 2233 
 
 2288 
 
 2343 
 
 .962398 
 
 2453 
 
 2 5 08 
 
 2562 
 
 2617 
 
 2672 
 
 2727 
 
 2781 
 
 2836 
 
 2890 
 
 .962945 
 
 2999 
 
 3o54 
 3io8 
 3i63 
 3217 
 3271 
 3325 
 3379 
 3434 
 1.963488 
 3542 
 3596 
 365o 
 3704 
 3757 
 38 1 1 
 3865 
 3919 
 3972 
 
 10" 
 
 0740 
 0796 
 o852 
 0908 
 0964 
 1020 
 1076 
 
 Il32 
 
 II88 
 1244 
 
 i3oo 
 i356 
 i4ii 
 1467 
 i523 
 1578 
 i634 
 1689 
 1745 
 1800 
 i856 
 1911 
 1966 
 2021 
 2077 
 
 2 1 32 
 
 2187 
 2242 
 2297 
 
 2352 
 
 2407 
 2462 
 25i7 
 2572 
 2626 
 2681 
 2736 
 2790 
 845 
 2899 
 2954 
 3oo8 
 3o63 
 3ii7 
 3172 
 3226 
 3280 
 3334 
 3388 
 3443 
 3497 
 355i 
 36o5 
 3659 
 3713 
 3766 
 3820 
 3874 
 3928 
 3981 
 
 20" 30" 40" I 50" 
 
 60" 
 
 0749 
 o8o5 
 086 
 0917 
 0973 
 o3o 
 086 
 i4i 
 197 
 253 
 309 
 365 
 421 
 476 
 532 
 587 
 643 
 698 
 754 
 809 
 865 
 920 
 975 
 
 203l 
 
 2086 
 
 2l4l 
 2196 
 225l 
 
 23o6 
 
 236i 
 
 24i6 
 
 2471 
 
 2526 
 
 258i 
 
 2635 
 
 2690 
 
 2745 
 
 2799 
 
 2854 
 
 2909 
 
 2963 
 
 3oi8 
 
 3072 
 
 3126 
 
 3i8i 
 
 3235 
 
 3289 
 
 3343 
 
 3398 
 
 3452 
 
 35o6 
 
 356o 
 
 36i4 
 
 3668 
 
 3722 
 
 3775 
 
 3829 
 
 3883 
 
 3937 
 
 3990 
 
 50" 
 
 0753 
 
 o8i4 
 0871 
 0927 
 0983 
 1039 
 1095 
 ii5i 
 1207 
 1263 
 i3i8 
 1374 
 i43o 
 i485 
 
 i54i 
 1597 
 i652 
 1708 
 1763 
 1819 
 1874 
 1929 
 1985 
 
 2o4o 
 2095 
 2l5o 
 2205 
 2260 
 
 23i5 
 2370 
 2425 
 
 2480 
 
 2535 
 
 2590 
 
 2645 
 
 2699 
 
 2754 
 
 2809 
 
 2863 
 
 2918 
 
 2972 
 
 3027 
 
 3o8i 
 
 3x35 
 
 3190 
 
 3244 
 
 3298 
 
 3352 
 
 3407 
 
 3461 
 
 35 1 5 
 
 3569 
 
 3623 
 
 3677 
 
 3730 
 
 3784 
 
 3838 
 
 3892 
 
 3946 
 
 3999 
 
 40" 
 
 0768 
 
 0824 
 
 0880 
 
 0936 
 
 0992 
 
 o48 
 
 io4 
 
 1 60 
 
 216 
 
 272 
 
 328 
 
 3^3 
 
 439 
 
 495 
 
 55o 
 
 606 
 
 661 
 
 717 
 
 772 
 
 828 
 
 883 
 
 939 
 
 994 
 
 2049 
 
 2io4 
 
 2i59 
 
 22l4 
 2269 
 2325 
 
 2379 
 
 2434 
 2489 
 
 2544 
 2599 
 2 654 
 2708 
 2763 
 2818 
 2872 
 2927 
 2981 
 3o36 
 3090 
 
 3i44 
 3199 
 3253 
 3307 
 336i 
 3416 
 3470 
 3524 
 3578 
 3632 
 3686 
 3739 
 3793 
 
 3847 
 3901 
 3955 
 4oo8 
 
 .30" 
 
 0777 
 o833 
 0889 
 0945 
 1002 
 io58 
 iii3 
 1169 
 
 1225 
 
 I28I 
 
 i337 
 1393 
 
 1 448 
 i5o4 
 i56o 
 i6i5 
 1671 
 1726 
 1782 
 1837 
 1892 
 1948 
 
 2003 
 
 2o58 
 21 13 
 2169 
 
 2224 
 2279 
 2334 
 2389 
 2444 
 2498 
 2553 
 2608 
 2663 
 717 
 2772 
 2827 
 2881 
 2936 
 2990 
 3 045 
 3099 
 3i53 
 3208 
 3262 
 33i6 
 3370 
 3425 
 
 3479 
 3533 
 
 3587 
 
 364 1 
 
 3695 
 
 3748 
 
 38o2 
 
 3856 
 
 3910 
 
 3963 
 
 4017 
 
 59 
 
 58 
 
 57 
 56 
 
 55 
 
 54 
 53 
 
 52 
 
 5i 
 5o 
 
 49 
 
 48 
 
 47 
 46 
 45 
 44 
 43 
 42 
 4i 
 4o 
 39 
 38 
 
 37 
 36 
 35 
 34 
 33 
 
 32 
 
 3i 
 3o 
 
 Sine of 67 Degrees. 
 
 10" 
 
 20" 
 
 29 
 
 28 
 27 
 26 
 
 25 
 
 24 
 
 23 
 22 
 21 
 20 
 
 ■9 
 
 18 
 
 17 
 16 
 
 i5 
 i4 
 i3 
 12 
 1 1 
 10 
 
 9 
 
 8 
 
 7 
 6 
 5 
 
 10" 
 
 4 
 5 
 6 
 
 7 
 8 
 
 9 
 10 
 
 1 1 
 12 
 i3 
 i4 
 i5 
 16 
 
 17 
 18 
 
 19 
 20 
 
 21 
 
 22 
 
 23 
 
 24 
 25 
 
 26 
 
 27 
 28 
 29 
 
 3o 
 3i 
 
 32 
 
 33 
 34 
 35 
 36 
 
 37 
 38 
 
 39 
 40 
 
 4i 
 42 
 43 
 44 
 45 
 46 
 
 47 
 48 
 
 49 
 5o 
 5i 
 
 52 
 
 53 
 
 54 
 55 
 56 
 
 57 
 58 
 59 
 
 , 964o26'4o35 
 
 4080:4089 
 4i334i42 
 4187I4196 
 4240J4249 
 4294i43o3 
 434714356 
 44oo'44o9 
 44544463 
 4507 45i6 
 
 .964560 4569 
 46i3|4622 
 4666|4675 
 4720 4728 
 4773:4781 
 48264834 
 4879'4887 
 4931I4940 
 4984I4993 
 5o37 5o46 
 
 .965090 
 
 20" 
 
 5099 
 
 5i5] 
 52o4 
 5257 
 5309 
 5362 
 54i4 
 5467 
 5519 
 5572 
 
 Co-sine of 23 Degrees. 
 
 5i43 
 5195 
 5248 
 53oi 
 5353 
 5406 
 5458 
 55ii 
 5563 
 
 .965615 5624 
 5668i5676 
 5720:5729 
 5772 5781 
 5824j5833 
 5876J5885 
 5929I5937 
 598115989 
 6o33,6o4i 
 6085,6093 
 
 .966i36|6i45 
 6188J6197 
 6240 6249 
 6292 63oi 
 6344J6352 
 6395,6404 
 6447|6456 
 6499;65o7 
 655oj6559 
 66o2j66io 
 
 1.966653,6662 
 67o5|67i3 
 6756,6765 
 6808:6816 
 68596867 
 6910 6919 
 
 6961 
 7013 
 7064 
 71 15 
 
 6970 
 7021 
 7072 
 7123 
 
 60" 
 
 4o44 
 
 4098 
 
 4i5i 
 
 42o5 
 
 4258 
 
 43ii 
 
 4365 
 
 44x8 
 
 4471 
 
 4525 
 
 4578 
 
 463i 
 
 4684 
 
 4737 
 
 4790 
 
 4843 
 
 4896 
 
 4949 
 
 5oo2 
 
 5o55 
 
 5i07 
 
 5 1 60 
 
 52i3 
 
 5266 
 
 53i8 
 
 5371 
 
 5423 
 
 5476 
 
 5528 
 
 558o 
 
 5633 
 
 5685 
 
 5737 
 
 5790 
 
 5842 
 
 5894 
 
 5946 
 
 5998 
 
 6o5o 
 
 6102 
 
 6i54 
 
 6206 
 
 6257 
 
 63o9 
 
 636i 
 
 64i3 
 
 6464 
 
 65i6 
 
 6567 
 
 6619 
 
 6670 
 
 6722 
 
 6773 
 
 6825 
 
 6876 
 
 6927 
 
 6978 
 
 7o3o 
 
 7081 
 
 7i32 
 
 4o53 4062 
 4io6 4ii5 
 
 30" 
 
 40' 
 
 50' 
 
 50" 
 
 4i6o 
 
 4214 
 4267 
 4320 
 4374 
 4427 
 4480 
 4534 
 4587 
 464o 
 4693 
 4746 
 
 4799 
 4852 
 
 4905 
 4958 
 5oi I 
 5o64 
 5ii6 
 5169 
 
 5222 
 5274 
 5327 
 5379 
 
 5432 
 
 5484 
 
 5537 
 
 5589 
 
 5642 
 
 5694 
 
 5746 
 
 5798 
 
 585o 
 
 5902 
 
 5955 
 
 6007 
 
 6059 
 
 61 II 
 
 6162 
 
 6214 
 
 6266 
 
 63i8 
 
 6370 
 
 6421 
 
 6473 
 
 6525 
 
 6576 
 
 6628 
 
 6679 
 
 6730 
 
 6782 
 
 6833 
 
 6884 
 
 6936 
 
 6987 
 
 7o38 
 
 7089 
 
 7i4o 
 
 4169 
 4222 
 4276 
 4329 
 
 40" 
 
 43b^ 
 4436 
 4489 
 4542 
 4596 
 
 4649 
 4702 
 
 4755 
 4808 
 486i| 
 4914 
 4967 
 
 5o20 
 
 5072 
 
 5i25 
 
 5178 
 
 523o 
 
 5283 
 
 5336 
 
 5388 
 
 5441 
 
 5493 
 
 5546 
 
 5598 
 
 565o 
 
 5702 
 
 5755 
 
 58o7 
 
 5859 
 
 5911 
 
 5963 
 
 6oi5 
 
 6067 
 
 61 19 
 
 6171 
 
 6223 
 
 6275 
 
 6326 
 
 6378 
 
 643o 
 
 6482 
 
 6533 
 
 6585 
 
 6636! 
 
 6688 
 
 6739 
 
 6790 
 
 6842 
 
 6893 
 
 6944 
 
 6995 
 
 7047 
 7098 
 
 7149 
 
 4071 
 
 4124 
 
 4178 
 423i 
 4285 
 4338 
 4392 
 4445 
 4498 
 
 30" 
 
 455i 
 46o4 
 4658 
 4711 
 4764 
 4817 
 4870 
 4923 
 
 I975 
 5o28 
 5o8i 
 5i34 
 5187 
 5239 
 5292 
 
 5344 
 5397 
 
 5449 
 55o2 
 
 5554 
 
 5607 
 
 5659 
 
 571 1 
 
 5763 
 
 58i6 
 
 5868 
 
 5920 
 
 5972 
 
 6024 
 
 6076 
 
 6128 
 
 6180 
 
 6232 
 
 6283 
 
 6335 
 
 6387 
 
 6438 
 
 6490 
 
 i6542 
 
 6593 
 
 6645 
 
 6696 
 
 6748 
 
 6799 
 
 685o 
 
 6902 
 
 6953 
 
 7004 
 
 7055 
 
 7106 
 
 7157 
 
 59 
 
 58 
 
 57 
 56 
 
 55 
 54 
 53 
 
 52 
 
 5i 
 5o 
 
 49 
 48 
 
 47 
 46 
 
 45 
 44 
 43 
 42 
 4i 
 4o 
 
 39 
 
 38 
 
 37 
 36 
 35 
 34 
 33 
 
 32 
 
 3i 
 3o 
 29 
 28 
 27 
 26 
 
 25 
 
 24 
 
 23 
 22 
 21 
 20 
 
 '9 
 18 
 
 17 
 16 
 
 i5 
 i4 
 i3 
 12 
 1 1 
 10 
 
 20" 
 
 9 
 
 8 
 
 7 
 6 
 
 5 
 4 
 3 
 2 
 I 
 o 
 
 10" 
 
 Co-sine of 22 Degrees. 
 
 c 
 
 p. Part 
 
 il" 
 
 "/ 1 
 
 :3" 
 3 
 
 4" 
 4 
 
 5" 
 5 
 
 6" 
 
 8" 
 
 7 
 
 9" 
 
 8 
 
 ( 1" 
 P. Part j J 
 
 3" 
 3 
 
 4" 
 3 
 
 6" 
 5 
 
 8" 9" 
 7 8 
 
Logarithmic Tangents. 
 
 91 
 
 
 Tangent of 66 Degrees. 
 
 - 
 
 a 
 
 Tangent of 67 Degrees. 
 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 
 
 io.35i4i7 
 
 1474 
 
 i53o 
 
 i587 
 
 1 644 
 
 1700 
 
 59 
 
 
 
 10.372148 
 
 2207 
 
 2265 
 
 232i^ 
 
 2382 
 
 2441 
 
 59 
 
 I 
 
 1757 
 
 i8i4 
 
 1870 
 
 1927 
 
 1984 
 
 2o4o 
 
 58 
 
 1 
 
 2499 
 
 2558 
 
 2617 
 
 2675 
 
 2734 
 
 2792 
 
 58 
 
 2 
 
 2097 
 
 2i54 
 
 221 1 
 
 2267 
 
 2324 
 
 238i 
 
 57 
 
 2 
 
 285i 
 
 2910 
 
 2968 
 
 3027 
 
 3o85 
 
 3i44 
 
 57 
 
 3 
 
 2438 
 
 2494 
 
 255i 
 
 2608 
 
 2665 
 
 2721 
 
 56 
 
 3 
 
 32o3 
 
 3261 
 
 3320 
 
 3379 
 
 3437 
 
 3496 
 
 56 
 
 4 
 
 2778 
 
 2835 
 
 2892 
 
 2949 
 
 3oo5 
 
 3o62 
 
 55 
 
 4 
 
 3555 
 
 36i3 
 
 3672 
 
 3731 
 
 3789 
 
 3848 
 
 55 
 
 5 
 
 3i 19 
 
 3176 
 
 32 33 
 
 3290 
 
 3346 
 
 34o3 
 
 54 
 
 5 
 
 3907 
 
 3965 
 
 4024 
 
 4o&3 
 
 4i42 
 
 4200 
 
 54 
 
 6 
 
 3460 
 
 35i7 
 
 3574 
 
 363i 
 
 3687 
 
 3744 
 
 53 
 
 6 
 
 4259 
 
 43i8 
 
 4377 
 
 4435 
 
 4494 
 
 4553 
 
 53 
 
 7 
 
 38oi 
 
 3858 
 
 3915 
 
 3972 
 
 4029 
 
 4o86 
 
 52 
 
 7 
 
 46i2 
 
 4670 
 
 4729 
 
 4788 
 
 4847 
 
 4906 
 
 52 
 
 8 
 
 4r43 
 
 4199 
 
 4256 
 
 43i3 
 
 4370 
 
 4427 
 
 5i 
 
 8 
 
 4964 
 
 5o23 
 
 5082 
 
 5i4i 
 
 5200 
 
 5258 
 
 5i 
 
 9 
 
 4484 
 
 4541 
 
 4598 
 
 4655 
 
 4712 
 
 4769 
 
 5o 
 
 9 
 
 5317 
 
 5376 
 
 5435 
 
 5494 
 
 5553 
 
 56i2 
 
 5o 
 
 lO 
 
 10.354826 
 
 4883 
 
 4940 
 
 4997 
 
 5o54 
 
 5iii 
 
 49 
 
 10 
 
 10.375670 
 
 5729 
 
 5788 
 
 5847 
 
 5906 
 
 5965 
 
 49 
 
 II 
 
 5i68 
 
 5225 
 
 5282 
 
 5339 
 
 5396 
 
 5453 
 
 48 
 
 II 
 
 6024 
 
 6o83 
 
 6142 
 
 6200 
 
 6259 
 
 63 18 
 
 48 
 
 12 
 
 55io 
 
 5567 
 
 5624 
 
 568i 
 
 5738 
 
 5795 
 
 47 
 
 12 
 
 6377 
 
 6436 
 
 6495 
 
 6554 
 
 66i3 
 
 6672 
 
 47 
 
 i3 
 
 5852 
 
 5909 
 
 5966 
 
 6o23 
 
 6080 
 
 613746 
 
 i3 
 
 6731 
 
 6790 
 
 6849 
 
 6908 
 
 6967 
 
 7026 
 
 46 
 
 i4 
 
 6194 
 
 625i 
 
 6309 
 
 6366 
 
 6423 
 
 648o 45 
 
 i4 
 
 7085 
 
 7144 
 
 7203 
 
 7262 
 
 7321 
 
 7380 
 
 45 
 
 i5 
 
 6537 
 
 6594 
 
 665i 
 
 6708 
 
 6765 
 
 6823 
 
 44 
 
 i5 
 
 7439 
 
 7498 
 
 7557 
 
 7616 
 
 7675 
 
 7734 
 
 44 
 
 i6 
 
 6880 
 
 6937 
 
 6994 
 
 7o5i 
 
 7108 
 
 7166 
 
 43 
 
 16 
 
 7793 
 
 7853 
 
 7912 
 
 7971 
 
 8o3o 
 
 8089 
 
 43 
 
 17 
 
 7223 
 
 7280 
 
 7337 
 
 7394 
 
 745i 
 
 7509 
 
 42 
 
 17 
 
 8i48 
 
 8207 
 
 8266 
 
 8325 
 
 8384 
 
 8444 
 
 42 
 
 i8 
 
 7566 
 
 7623 
 
 7680 
 
 7737 
 
 7795 
 
 7852 
 
 4i 
 
 18 
 
 85o3 
 
 8562 
 
 8621 
 
 8680 
 
 8739 
 
 8799 
 
 4i 
 
 19 
 
 7909 
 
 7966 
 
 8024 
 
 8081 
 
 8i38 
 
 8195 
 
 40 
 
 19 
 
 8858 
 
 8917 
 
 8976 
 
 9035 
 
 9094 
 
 9154 
 
 4o 
 
 20 
 
 10. 358253 
 
 83io 
 
 8367 
 
 8425 
 
 8482 
 
 8539 
 
 39 
 
 20 
 
 10.379213 
 
 9272 
 
 9331 
 
 9390 
 
 945o 
 
 9509 
 
 39 
 
 21 
 
 8596 
 
 8654 
 
 8711 
 
 8768 
 
 8826 
 
 8883 
 
 38 
 
 21 
 
 9568 
 
 9627 
 
 9687 
 
 9746 
 
 9805 
 
 9864 
 
 38 
 
 22 
 
 8940 
 
 8998 
 
 9055 
 
 9112 
 
 9170 
 
 9227 
 
 37 
 
 22 
 
 9924 
 
 9983 
 
 . .42 
 
 . 102 
 
 .161 
 
 .220 
 
 37 
 
 23 
 
 9284 
 
 9342 
 
 9399 
 
 9456 
 
 95i4 
 
 9571 
 
 36 
 
 23 
 
 10.380280 
 
 0339 
 
 0398 
 
 0457 
 
 o5i7 
 
 0576 
 
 36 
 
 24 
 
 9629 
 
 9686 
 
 9743 
 
 9801 
 
 9858 
 
 9916 
 
 35 
 
 24 
 
 o636 
 
 0695 
 
 0754 
 
 o8i4 
 
 0873 
 
 0932 
 
 35 
 
 25 
 
 9973 
 
 ..3i 
 
 ..88 
 
 .145 
 
 .203 
 
 .260 
 
 34 
 
 25 
 
 0992 
 
 io5i 
 
 I I ID 
 
 1 1 70 
 
 1229 
 
 1289 
 
 34 
 
 26 
 
 io.36o3i8 
 
 0375 
 
 0433 
 
 0490 
 
 o548 
 
 o6o5 
 
 33 
 
 26 
 
 1 348 
 
 1407 
 
 1467 
 
 i526 
 
 i586 
 
 1645 
 
 33 
 
 27 
 
 o663 
 
 0720 
 
 0778 
 
 o835 
 
 0893 
 
 0950 
 
 32 
 
 27 
 
 1705 
 
 1764 
 
 1824 
 
 i883 
 
 1943 
 
 2002 
 
 32 
 
 28 
 
 1008 
 
 io65 
 
 II23 
 
 1180 
 
 1238 
 
 1295 
 
 3i 
 
 28 
 
 2061 
 
 2121 
 
 2180 
 
 2240 
 
 2299 
 
 2359 
 
 3i 
 
 29 
 
 i353 
 
 i4io 
 
 i468 
 
 i525 
 
 i583 
 
 i64i 
 
 3o 
 
 29 
 
 2418 
 
 2478 
 
 2538 
 
 2597 
 
 2657 
 
 2716 
 
 3o 
 
 3o 
 
 10.361698 
 
 1756 
 
 i8i3 
 
 1871 
 
 1928 
 
 1986 
 
 29 
 
 3o 
 
 10.382776 
 
 2835 
 
 2895 
 
 2954 
 
 3oi4 
 
 3074 
 
 29 
 
 3i 
 
 2o44 
 
 2101 
 
 2159 
 
 2217 
 
 2274 
 
 2332 
 
 28 
 
 3i 
 
 3i33 
 
 3193 
 
 3252 
 
 33i2 
 
 3372 
 
 343i 
 
 28 
 
 32 
 
 2389 
 
 2447 
 
 25o5 
 
 2562 
 
 2620 
 
 2678 
 
 27 
 
 32 
 
 3491 
 
 355o 
 
 36io 
 
 3670 
 
 3729 
 
 3789 
 
 27 
 
 33 
 
 2735 
 
 2793 
 
 285i 
 
 2908 
 
 2966 
 
 3o24 
 
 26 
 
 33 
 
 3849 
 
 3908 
 
 3968 
 
 4028 
 
 4087 
 
 4i47 
 
 26 
 
 34 
 
 3o8i 
 
 3i39 
 
 3197 
 
 3255 
 
 33i2 
 
 3370 
 
 25 
 
 34 
 
 4207 
 
 4266 
 
 4326 
 
 4386 
 
 4445 
 
 45o5 
 
 25 
 
 35 
 
 3428 
 
 3486 
 
 3543 
 
 36oi 
 
 3659 
 
 3717 
 
 24 
 
 35 
 
 4565 
 
 4625 
 
 4684 
 
 4744 
 
 48o4 
 
 4864 
 
 24 
 
 36 
 
 3774 
 
 3832 
 
 3890 
 
 3948 
 
 4oo5 
 
 4o63 
 
 23 
 
 36 
 
 4923 
 
 4983 
 
 5o43 
 
 5io3 
 
 5i62 
 
 5222 
 
 23 
 
 37 
 
 4l2I 
 
 4179 
 
 4237 
 
 4294 
 
 4352 
 
 44io 
 
 22 
 
 37 
 
 5282 
 
 5342 
 
 5402 
 
 5461 
 
 5521 
 
 558i 
 
 22 
 
 38 
 
 4468 
 
 4526 
 
 4584 
 
 464i 
 
 4699 
 
 4757 
 
 21 
 
 38 
 
 564 1 
 
 5701 
 
 5761 
 
 5820 
 
 588o 
 
 5940 
 
 21 
 
 39 
 
 48i5 
 
 4873 
 
 4931 
 
 4989 
 
 5o46 
 
 5io4 
 
 20 
 
 39 
 
 6000 
 
 6060 
 
 6120 
 
 6180 
 
 6240 
 
 6299 
 
 20 
 
 4o 
 
 io.365i62 
 
 5220 
 
 5278 
 
 5336 
 
 5394 
 
 5452 
 
 19 
 
 40 
 
 10.386359 
 
 6419 
 
 6479 
 
 6539 
 
 6599 
 
 6659 
 
 19 
 
 4i 
 
 55io 
 
 5568 
 
 5626 
 
 5684 
 
 5741 
 
 5799 
 
 18 
 
 4i 
 
 6719 
 
 6779 
 
 6839 
 
 6899 
 
 6959 
 
 7019 
 
 18 
 
 42 
 
 5857 
 
 5915 
 
 5973 
 
 6o3i 
 
 6089 
 
 6147 
 
 17 
 
 42 
 
 7079 
 
 7139 
 
 7199 
 
 7259 
 
 7319 
 
 7379 
 
 17 
 
 43 
 
 6205 
 
 6263 
 
 6321 
 
 6379 
 
 6437 
 
 6495 
 
 16 
 
 43 
 
 7439 
 
 7499 
 
 7559 
 
 7619 
 
 7679 
 
 7739 
 
 16 
 
 44 
 
 6553 
 
 6611 
 
 6669 
 
 6727 
 
 6785 
 
 6843 i5| 
 
 44 
 
 7799 
 
 7859 
 
 7919 
 
 7979 
 
 8039 
 
 8099 
 
 i5 
 
 45 
 
 6901 
 
 6960 
 
 7018 
 
 7076 
 
 7134 
 
 7192 
 
 i4 
 
 45 
 
 8159 
 
 8219 
 
 8279 
 
 8339 
 
 8399 
 
 846o 
 
 i4 
 
 46 
 
 725o 
 
 7308 
 
 7366 
 
 7424 
 
 7482 
 
 7540 
 
 i3 
 
 46 
 
 8520 
 
 858o 
 
 864o 
 
 8700 
 
 8760 
 
 8820 
 
 i3 
 
 47 
 
 7598 
 
 7657 
 
 77i5 
 
 7773 
 
 783i 
 
 7889 
 
 12 
 
 47 
 
 8880 
 
 8941 
 
 9001 
 
 9061 
 
 9121 
 
 9181 
 
 12 
 
 48 
 
 7947 
 
 8oo5 
 
 8064 
 
 8122 
 
 8180 
 
 8238 
 
 II 
 
 48 
 
 9241 
 
 9302 
 
 9362 
 
 9422 
 
 9482 
 
 9542 
 
 II 
 
 49 
 
 8296 
 
 8354 
 
 84i3 
 
 8471 
 
 8529 
 
 8587 
 
 10 
 
 49 
 
 9603 
 
 9663 
 
 9723 
 
 9783 
 
 9844 
 
 9904 
 
 10 
 
 5o 
 
 10.368645 
 
 8704 
 
 8762 
 
 8820 
 
 8878 
 
 8937 
 
 9 
 
 5o 
 
 10.389964 
 
 ..24 
 
 ..85 
 
 .145 
 
 .205 
 
 .265 
 
 9 
 
 5i 
 
 8995 
 
 9053 
 
 91 1 1 
 
 9170 
 
 9228 
 
 9286 
 
 8 
 
 5i 
 
 10.390326 
 
 o386 
 
 o446 
 
 o5o7 
 
 0567 
 
 0627 
 
 8 
 
 52 
 
 9344 
 
 94o3 
 
 9461 
 
 9519 
 
 9578 
 
 9636 
 
 7 
 
 52 
 
 0688 
 
 0748 
 
 0808 
 
 0869 
 
 0929 
 
 0989 
 
 7 
 
 53 
 
 9694 
 
 9753 
 
 98 1 1 
 
 9869 
 
 9927 
 
 9986 
 
 6 
 
 53 
 
 io5o 
 
 1 1 10 
 
 1 170 
 
 I23l 
 
 1291 
 
 i352 
 
 6 
 
 54 
 
 10.370044 
 
 oio3 
 
 0161 
 
 0219 
 
 0278 
 
 o336 
 
 5 
 
 54 
 
 l4l2 
 
 1472 
 
 i533 
 
 1593 
 
 1 654 
 
 1714 
 
 5 
 
 55 
 
 0394 
 
 0453 
 
 o5i I 
 
 0569 
 
 0628 
 
 0686 
 
 4 
 
 55 
 
 1775 
 
 i835 
 
 1895 
 
 1956 
 
 2016 
 
 2077 
 
 4 
 
 56 
 
 0745 
 
 o8o3 
 
 0862 
 
 0920 
 
 0978 
 
 io37 
 
 3 
 
 56 
 
 2137 
 
 2198 
 
 2258 
 
 23i9 
 
 2379 
 
 2440 
 
 3 
 
 57 
 
 1095 
 
 ii54 
 
 1212 
 
 1271 
 
 i329 
 
 1 388 
 
 2 
 
 57 
 
 25oo 
 
 256i 
 
 2621 
 
 2682 
 
 2742 
 
 2803 
 
 2 
 
 58 
 
 1 446 
 
 i5o4 
 
 i563 
 
 1621 
 
 1680 
 
 1738 
 
 I 
 
 58 
 
 2863 
 
 2924 
 
 2985 
 
 3o45 
 
 3 1 06 
 
 3i66 
 
 I 
 
 59 
 
 1797 
 
 i855 
 
 1914 
 
 1972 
 
 2o3i 
 
 2090 
 
 
 
 59 
 
 3227 
 
 3287 
 
 3348 
 
 3409 
 
 3469 
 
 353o 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 a 
 
 Co-tangent of 23 Degrees. 
 
 Co-tangent of 22 Degrees. 
 
 P. 
 
 „ J 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 ^""^^U 12 17 23 29 35 40 46 52 
 
 p p„, j 1" 2" 3" 4" 5" C" 7" 8" 9" 
 r. faring 12 18 24 30 36 43 48 54 
 
92 
 
 LOGAKITHMIC SiNES. 
 
 d 
 
 ii 
 
 Sine of 68 Degrees. 
 
 59 
 
 58 
 57 
 
 .5 
 
 Sine of 69 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 7183 
 7234 
 7285 
 
 30" 
 
 40" 1 50" 
 
 0" 
 
 10" 
 
 20" 
 
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 8940 
 
 9003 
 
 18 
 
 41 
 
 i5i4 
 
 1579 
 
 1 644 
 
 1708 
 
 1773 
 
 i838 
 
 18 
 
 42 
 
 9065 
 
 9127 
 
 9189 
 
 9252 
 
 93i4 
 
 9376 
 
 17 
 
 42 
 
 1902 
 
 1967 
 
 2032 
 
 2097 
 
 2161 
 
 2226 
 
 17 
 
 43 
 
 9438 
 
 9501 
 
 9563 
 
 9625 
 
 9687 
 
 9750 
 
 16 
 
 43 
 
 2291 
 
 2356 
 
 2420 
 
 2485 
 
 255o 
 
 26i5 
 
 16 
 
 44 
 
 9812 
 
 9874 
 
 9937 
 
 9999 
 
 ..61 
 
 . 123 
 
 i5 
 
 44 
 
 2680 
 
 2744 
 
 2809 
 
 2874 
 
 2939 
 
 3oo4 
 
 i5 
 
 45 
 
 10.410186 
 
 0248 
 
 o3io 
 
 0373 
 
 0435 
 
 0498 
 
 i4 
 
 45 
 
 3o68 
 
 3i33 
 
 3198 
 
 3263 
 
 3328 
 
 3393 
 
 i4 
 
 46 
 
 o56o 
 
 0622 
 
 o685 
 
 0747 
 
 0809 
 
 0872 
 
 i3 
 
 46 
 
 3458 
 
 3522 
 
 3587 
 
 3652 
 
 3717 
 
 3782 
 
 i3 
 
 47 
 
 0934 
 
 0997 
 
 io59 
 
 1 122 
 
 1184 
 
 1246 
 
 12 
 
 47 
 
 3847 
 
 3912 
 
 3977 
 
 4o42 
 
 4107 
 
 4172 
 
 12 
 
 48 
 
 i3og 
 
 1371 
 
 1434 
 
 1496 
 
 i559 
 
 I62I 
 
 1 1 
 
 48 
 
 4237 
 
 4302 
 
 4367 
 
 4432 
 
 4497 
 
 4562 
 
 11 
 
 49 
 
 1684 
 
 1746 
 
 1809 
 
 1871 
 
 1934 
 
 1996 
 
 10 
 
 49 
 
 4627 
 
 4692 
 
 4757 
 
 4822 
 
 48874952 
 
 10 
 
 5o 
 
 10.412059 
 
 2121 
 
 2184 
 
 2246 
 
 2309 
 
 2371 
 
 9 
 
 5o 
 
 10.435017 
 
 5o82 
 
 5i47 
 
 5212 
 
 5277 5342 
 
 9 
 
 5i 
 
 2434 
 
 2497 
 
 2559 
 
 2622 
 
 2684 
 
 2747 
 
 8 
 
 5i 
 
 5407 
 
 5473 
 
 5538 
 
 56o3 
 
 56685733 
 
 8 
 
 52 
 
 2810 
 
 2872 
 
 2935 
 
 2997 
 
 3o6o 
 
 3i23 
 
 7 
 
 52 
 
 5798 
 
 5863 
 
 5929 
 
 5994 
 
 6059 6124 
 
 7 
 
 53 
 
 3i85 
 
 3248 
 
 33ii 
 
 3373 
 
 3436 
 
 3499 
 
 6 
 
 53 
 
 6189 
 
 6254 
 
 6320 
 
 6385 
 
 645o!65i5 
 
 6 
 
 54 
 
 356i 
 
 3624 
 
 3687 
 
 3749 
 
 38i2 
 
 3875 
 
 5 
 
 54 
 
 658i 
 
 6646 
 
 671 1 
 
 6776 
 
 6842 6907 
 
 5 
 
 55 
 
 3938 
 
 4ooo 
 
 4o63 
 
 4126 
 
 4189 
 
 425l 
 
 4 
 
 55 
 
 6972 
 
 7037 
 
 7103 
 
 7168 
 
 7233 
 
 7299 
 
 4 
 
 56 
 
 43i4 
 
 4377 
 
 4440 
 
 45o2 
 
 4565 
 
 4628 
 
 3 
 
 56 
 
 7364 
 
 7429 
 
 7495 
 
 7560 
 
 7625 
 
 7691 
 
 3 
 
 57 
 
 4691 
 
 4754 
 
 4817 
 
 4879 
 
 4942 
 
 5oo5 
 
 2 
 
 57 
 
 7756 
 
 7822 
 
 7887 
 
 7952 
 
 8018 
 
 8o83 
 
 2 
 
 58 
 
 5o68 
 
 5i3i 
 
 5194 
 
 5256 
 
 5319 
 
 5382 
 
 I 
 
 58 
 
 8149 
 
 8214 
 
 8279 
 
 8345 
 
 84io 
 
 8476 
 
 I 
 
 59 
 
 5445 
 
 55o8 
 
 5571 
 
 5634 
 
 5697 
 
 5760 
 
 
 
 59 
 
 854i 
 
 8607 
 
 8672 
 
 8738 
 
 88038869 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 i 
 
 
 60" 
 
 50" 
 
 40" 30" 1 
 
 20" 1 10" 
 
 Co-tangent of 21 Degrees. 
 
 Co-tangent of 20 Degrees. 
 
 p P,r^ i 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 '^■"^"'le 12 19 25 31 37 43 49 56 
 
 „ p ,, ( 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 P.Partjg j3 jg 26 32 39 45 51 58 
 
94 
 
 Logarithmic Sines. 
 
 a 
 
 Sine of 70 Degrees. 
 
 - 
 
 
 Sine of 71 Degrees. 
 
 
 0" 10" 
 
 1 20" 
 
 30" 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 1 .50" 
 
 c 
 
 9.972986 2993 3ooi 
 
 3009 3oi( 
 
 ) 3o2/ 
 
 "5? 
 
 
 
 9.97567c 
 
 )5677 
 
 5685 
 
 5692 
 
 5699 
 
 5706 
 
 59 
 
 I 
 
 3o32 3o3c 
 
 >3o4^ 
 
 , 3o55 3062 
 
 307c 
 
 )58 
 
 I 
 
 5714 
 
 5721 
 
 5728 
 
 5735 
 
 5743 
 
 5750 
 
 58 
 
 2 
 
 3078 3o8f 
 
 ) 309S 
 
 3ioi 3ioS 
 
 3iie 
 
 57 
 
 2 
 
 5757 
 
 5764 
 
 5771 
 
 5779 
 
 5786 
 
 5793 
 
 5? 
 
 3 
 
 3i2i!3i3i 
 
 3i39 
 
 3i4e 
 
 3i54 
 
 3i62 
 
 56 
 
 3 
 
 58oo 
 
 58o8 
 
 58i5 
 
 5822 
 
 5829 
 
 5837 
 
 56 
 
 A 
 
 3i6( 
 
 ?3i77 
 
 3i85 
 
 3192 
 
 3200 
 
 3208 
 
 55 
 
 4 
 
 5844 
 
 585i 
 
 5858 
 
 5865 
 
 5873 
 
 588o 
 
 55 
 
 5 
 
 32i! 
 
 3 3223 
 
 323o 
 
 3238 
 
 3246 
 
 3253 
 
 54 
 
 5 
 
 5887 
 
 5894 
 
 5901 
 
 5909 
 
 5916 
 
 5923 
 
 54 
 
 6 
 
 3-6 
 
 [I326Q 
 
 3276 
 
 3284 
 
 3291 
 
 3299 
 
 53 
 
 6 
 
 5930 
 
 5938 
 
 5945 
 
 5952 
 
 5959 
 
 5966 
 
 53 
 
 7 
 
 33o7!33i4 
 
 3322 
 
 333o 
 
 3337 
 
 3345 
 
 52 
 
 7 
 
 5974 
 
 5981 
 
 5988 
 
 5995 
 
 6002 
 
 6010 
 
 52 
 
 8 
 
 33523360 
 
 3368 
 
 3375 
 
 3383 
 
 3390 
 
 5i 
 
 8 
 
 60x7 
 
 6024 
 
 6o3x 
 
 6o38 
 
 6o46 
 
 6o53 
 
 5i 
 
 9 
 
 339813406 
 
 34i3 
 
 3421 
 
 3428 
 
 3436 
 
 5o 
 
 9 
 
 6060 
 
 6067 
 
 6074 
 
 6081 
 
 6089 
 
 6096 
 
 5o 
 
 10 
 
 9.9734443451 
 
 3459 
 
 3466 
 
 3474 
 
 3482 
 
 49 
 
 xo 
 
 9.976x03 
 
 6x xo 
 
 6117 
 
 6125 
 
 6x32 
 
 6x39 
 
 49 
 
 II 
 
 3489I3497 
 
 35o4 
 
 35i2 
 
 3519 
 
 3527 
 
 48 
 
 1 1 
 
 6i46 
 
 6x53 
 
 6x60 
 
 6x68 
 
 6x75 
 
 6182 
 
 48 , 
 
 12 
 
 3535|3542 
 
 355o 
 
 3557 
 
 3565 
 
 3572 
 
 47 
 
 X2 
 
 6189 
 
 6x96 
 
 6203 
 
 621 1 
 
 6218 
 
 6225 
 
 47 
 
 i3 
 
 353o3588 
 
 3595 
 
 36o3 
 
 36io 
 
 36x8 
 
 46 
 
 i3 
 
 6232 
 
 6239 
 
 6246 
 
 6254 
 
 6261 
 
 6268 
 
 46 
 
 i4 
 
 3625 3633 
 
 364i 
 
 3648 
 
 3656 
 
 3663 
 
 45 
 
 i4 
 
 6275 
 
 6282 
 
 6289 
 
 6296 
 
 63o4 
 
 63x1 
 
 45 
 
 i5 
 
 3671 3678 
 
 3686 
 
 3694 
 
 3701 
 
 3709 
 
 44 
 
 i5 
 
 63x8 
 
 6325 
 
 6332 
 
 6339 
 
 6347 
 
 6354 
 
 44 
 
 i6 
 
 3716I3724 
 
 3731 
 
 3739 
 
 3746 
 
 3754 
 
 43 
 
 16 
 
 636i 
 
 6368 
 
 6375 
 
 6382 
 
 6389 
 
 6396 
 
 43 
 
 I? 
 
 3761 3769 
 
 3777 
 
 3784 
 
 3792 
 
 3799 
 
 42 
 
 17 
 
 64o4 
 
 64ii 
 
 64x8 
 
 6425 
 
 6432 
 
 6439 
 
 42 
 
 i8 
 
 38o7i38i4 
 
 3822 
 
 3829 
 
 3837 
 
 3844 
 
 4i 
 
 18 
 
 6446 
 
 6454 
 
 646x 
 
 6468 
 
 6475 
 
 6482 
 
 4i 
 
 '9 
 
 3852 3859 
 
 3867 
 
 3875 
 
 3882 
 
 3890 
 
 4o 
 
 19 
 
 6489 
 
 6496 
 
 65o3 
 
 65io 
 
 65x8 
 
 6525 
 
 4o 
 
 20 
 
 9.973897I3905 
 
 3912 
 
 3920 
 
 3927 
 
 3935 
 
 39 
 
 20 
 
 9.976532 
 
 6539 
 
 6546 
 
 6553 
 
 656o 
 
 6567 
 
 39 
 
 21 
 
 3942 3950 
 
 3957 
 
 3965 
 
 3972 
 
 3980 
 
 38 
 
 21 
 
 6574 
 
 6582 
 
 6589 
 
 6596 
 
 66o3 
 
 66x0 
 
 38 
 
 22 
 
 3987 3995 
 
 4002 
 
 4oio 
 
 4017 
 
 4o25 
 
 37 
 
 22 
 
 66x7 
 
 6624 
 
 663x 
 
 6638 
 
 6646 
 
 6653 
 
 37 
 
 23 
 
 4o32 4o4o 
 
 4o47 
 
 4o55 
 
 4062 
 
 4070 
 
 36 
 
 23 
 
 6660 
 
 6667 
 
 6674 
 
 668x 
 
 6688 
 
 6695 
 
 36 
 
 24 
 
 4o77'4o85 
 
 4092 
 
 4 1 00 
 
 4107 
 
 4ii5 
 
 35 
 
 24 
 
 6702 
 
 6709 
 
 6716 
 
 6723 
 
 6731 
 
 6738 
 
 35 
 
 25 
 
 4l22i4l3o 
 
 4i37 
 
 4r45 
 
 4i52 
 
 4x6o 
 
 34 
 
 25 
 
 6745 
 
 6752 
 
 6759 
 
 6766 
 
 6773 
 
 6780 
 
 34 
 
 26 
 
 4167 4175 
 
 4182 
 
 4190 
 
 4197 
 
 42o5 
 
 33 
 
 26 
 
 6787 
 
 6794 
 
 680X 
 
 6808 
 
 68i5 
 
 6823 
 
 33 
 
 27 
 
 42 I 2 4220 
 
 4227 
 
 4235 
 
 4242 
 
 425o 
 
 32 
 
 27 
 
 683o 
 
 6837 
 
 6844 
 
 685i 
 
 6858 
 
 6865 
 
 32 
 
 28 
 
 4257 4264 
 
 4272 
 
 4279 
 
 4287 
 
 4294 
 
 3i 
 
 28 
 
 6872 
 
 6879 
 
 6886 
 
 6893 
 
 6900 
 
 6907 
 
 3i 
 
 29 
 
 43o2 43og 
 
 4317 
 
 4324 
 
 4332 
 
 4339 
 
 3o 
 
 29 
 
 6914 
 
 6921 
 
 6928 
 
 6935 
 
 6942 
 
 6950 
 
 3o 
 
 3o 
 
 9.974347:4354 
 
 436i 
 
 4369 
 
 4376 
 
 4384 
 
 29 
 
 3o 
 
 9.976957 
 
 6964 
 
 697X 
 
 6978 
 
 6985 
 
 6992 
 
 29 
 
 3i 
 
 4391 4399 
 
 44o6 
 
 44i4 
 
 4421 
 
 4428 
 
 28 
 
 3i 
 
 6999 
 
 7006 
 
 70x3 
 
 7020 
 
 7027 
 
 7034 
 
 28 
 
 32 
 
 4436 
 
 4443 
 
 445 1 
 
 4458 
 
 4466 
 
 4473 
 
 27 
 
 32 
 
 7041 
 
 7048 
 
 7o55 
 
 7062 
 
 7069 
 
 7076 
 
 27 
 
 33 
 
 448 1 
 
 4488 
 
 4495 
 
 45o3 
 
 45io 
 
 45x8 
 
 26 
 
 33 
 
 7083 
 
 7090 
 
 7097 
 
 7104 
 
 71 1 1 
 
 71x8 
 
 26 
 
 34 
 
 4525 
 
 4533 
 
 4540 
 
 4547 
 
 4555 
 
 4562 
 
 25 
 
 34 
 
 7125 
 
 7x32 
 
 7x39 
 
 7146 
 
 7x53 
 
 7x60 
 
 25 
 
 35 
 
 45704577 
 
 4585 
 
 4592 
 
 4599 
 
 4607 
 
 24 
 
 35 
 
 7167 
 
 7x74 
 
 7x81 
 
 7188 
 
 7195 
 
 7202 
 
 24 
 
 36 
 
 46x4 4622 
 
 4629 
 
 4636 
 
 4644 
 
 465i 
 
 23 
 
 36 
 
 7209 
 
 72x6 
 
 7223 
 
 723o 
 
 7237 
 
 7244 
 
 23 
 
 37 
 
 4659 
 
 4666 
 
 4674 
 
 468 1 
 
 4688 
 
 4696 
 
 22 
 
 37 
 
 7251 
 
 7258 
 
 7265 
 
 7272 
 
 7279 
 
 7286 
 
 22 
 
 38 
 
 4703 
 
 4711 
 
 4718 
 
 4725 
 
 4733 
 
 4740 
 
 21 
 
 38 
 
 7293 
 
 7300 
 
 7307 
 
 73x4 
 
 7321 
 
 7328 
 
 21 
 
 39 
 
 4748 
 
 4755 
 
 4762 
 
 4770 
 
 4777 
 
 4784 
 
 20 
 
 39 
 
 7335 
 
 7342 
 
 7349 
 
 7356 
 
 7363 
 
 7370 
 
 20 
 
 4o 
 
 9.974792 
 
 4799 
 
 4807 
 
 48i4 
 
 4821 
 
 4829 
 
 19 
 
 4o 
 
 9.977377 
 
 7384 
 
 739X 
 
 7398 
 
 74o5 
 
 74x2 
 
 19 
 
 4i 
 
 4S36 
 
 4844 
 
 485i 
 
 4858 
 
 4866 
 
 4873 
 
 18 
 
 4i 
 
 74x9 
 
 7426 
 
 7433 
 
 7440 
 
 7447 
 
 7454 
 
 18 
 
 42 
 
 483o 
 
 4888 
 
 4895 
 
 4903 
 
 4910 
 
 4917 
 
 17 
 
 42 
 
 746 X 
 
 7468 
 
 7475 
 
 7482 
 
 7489 
 
 7496 
 
 17 
 
 43 
 
 4925 
 
 4932 
 
 4939 
 
 4947 
 
 4954 
 
 4961 
 
 16 
 
 43 
 
 75o3 
 
 75x0 
 
 7517 
 
 7524 
 
 7530 
 
 7537 
 
 16 
 
 44 
 
 4969 
 
 4976 
 
 4984 
 
 4991 
 
 4998 
 
 5oo6 
 
 x5 
 
 44 
 
 7544 
 
 755i 
 
 7558 
 
 7565 
 
 7572 
 
 7579 
 
 i5 
 
 45 
 
 5oi3 
 
 5o20 
 
 5o28 
 
 5o35 
 
 5o42 
 
 5o5o 
 
 i4 
 
 45 
 
 7586 
 
 7593 
 
 7600 
 
 7607 
 
 7614 
 
 7621 
 
 i4 
 
 46 
 
 5o57 
 
 5o64 
 
 5072 
 
 5o79 
 
 5o86 
 
 5094 
 
 i3 
 
 46 
 
 7628 
 
 7635 
 
 7642 
 
 7648 
 
 7655 
 
 7662 
 
 i3 
 
 47 
 
 5ioi 
 
 5 1 08 
 
 5ii6 
 
 5i23 
 
 5i3o 
 
 5x38 
 
 X2 
 
 47 
 
 7669 
 
 7676 
 
 7683 
 
 7690 
 
 7697 
 
 7704 
 
 12 
 
 48 
 
 5i45 
 
 5i52 
 
 5i6o 
 
 5167 
 
 5x74 
 
 5x82 
 
 IX 
 
 48 
 
 77XX 
 
 77x8 
 
 7725 
 
 7732 
 
 7739 
 
 7745 
 
 II 
 
 49 
 
 5189 
 
 5196 
 
 52o4 
 
 52II 
 
 52x8 
 
 5226 
 
 xo 
 
 49 
 
 7752 
 
 7759 
 
 7766 
 
 7773 
 
 7780 
 
 7787 
 
 10 
 
 5o 
 
 r 
 
 9.975233 
 
 524o 
 
 5248 
 
 5255 
 
 5262 
 
 5270 
 
 9 
 
 5o 
 
 9.977794 
 
 780X 
 
 7808 
 
 78x5 
 
 7821 
 
 7828 
 
 9 
 
 5i 
 
 5277 
 
 5284 
 
 5292 
 
 5299 
 
 53o6 
 
 53x3 
 
 8 
 
 5i 
 
 7835 
 
 7842 
 
 7849 
 
 7856 
 
 7863 
 
 7870 
 
 8 
 
 52 
 
 r 
 
 5321 
 
 5328 
 
 5335 
 
 5343 
 
 535o 
 
 5357 
 
 7 
 
 52 
 
 7877 
 
 7884 
 
 7890 
 
 7897 
 
 7904 
 
 79XX 
 
 7 
 
 53 
 
 5365 
 
 5372 
 
 5379 
 
 5386 
 
 5394 
 
 54ox 
 
 6 
 
 53 
 
 7918 
 
 7925 
 
 7932 
 
 7939 
 
 7946 
 
 7952 
 
 6 
 
 54 
 
 r r 
 
 54o8 
 
 54t6 
 
 5423 
 
 543o 
 
 5437 
 
 5445 
 
 5 
 
 54 
 
 7959 
 
 7966 
 
 7973 
 
 7980 
 
 7987 
 
 7994 
 
 5 
 
 55 
 
 5452 
 
 5459 
 
 5467 
 
 5474 
 
 5481 
 
 5488 
 
 4 
 
 55 
 
 8001 
 
 8007 
 
 8ox4 
 
 8021 
 
 8028 
 
 8o35 
 
 4 
 
 56 
 
 5496 
 
 55o3 
 
 55io 
 
 55i8 
 
 5525 
 
 5532 
 
 3 
 
 56 
 
 8042 
 
 8o4q 
 
 8o56 
 
 8062 
 
 8069 
 
 8076 
 
 3 
 
 57 
 
 5539 
 
 5547 
 
 5554 
 
 556i 
 
 5568 
 
 5576 
 
 2 
 
 57 
 
 8o83 
 
 J 
 
 8090 
 
 8097 
 
 8io4 
 
 81x0 
 
 8x17 
 
 2 
 
 58 
 
 5583 
 
 5590 
 
 5598 
 
 56o5 
 
 56x2 
 
 5619 
 
 I 
 
 58 
 
 8124 
 
 8i3x 
 
 8i38 
 
 8x45 
 
 8i52 
 
 8x58 
 
 I 
 
 59 
 
 5627 
 
 5634 
 
 564: 
 
 5648 
 
 5656 
 
 5663 
 
 
 
 59 
 
 8x65 
 
 8172 
 
 8179 
 
 8186 
 
 8x93 
 
 8x99 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 
 60" 
 
 50" 
 
 40" 30" 20" 
 
 10" 
 
 a 
 
 Co-sine of 19 Degrees. 
 
 ' 1 -2 ! 
 
 Co-sine of 18 Degrees. 
 
 P.P 
 
 „. jl" 2" 3" 4" 5" 6" 7" 8" c 
 11 1 2 3 4 4 5 6 -; 
 
 1" 
 
 f 
 
 PParfci 1" 2' 3" 4" 5" 6" 7" 8" 9" 
 '^•^^"Nl 12 3 4 4 5 6 6 
 

 
 
 
 Logarithmic 
 
 Tangents. 
 
 
 
 
 
 95 
 
 .s 
 
 Tangent of TO Degrees. 
 
 
 .9 
 
 ■ 
 
 Tangent of 71 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 3233 
 
 40" 
 33o2 
 
 50" 
 
 o 
 
 10.438934 
 
 9000 
 
 9065 
 
 9i3i 
 
 9196 
 
 9262 
 
 59 
 
 
 
 io.463o28 
 
 3097 
 
 3i65 
 
 3370 
 
 59 
 
 I 
 
 9327 
 
 9393 
 
 9458 
 
 9524 
 
 9590 
 
 9655 
 
 58 
 
 I 
 
 3439 
 
 3507 
 
 3576 
 
 3644 
 
 3713 
 
 3781 
 
 58 
 
 2 
 
 9721 
 
 9786 
 
 9852 
 
 9918 
 
 9983 
 
 ..49 
 
 57 
 
 2 
 
 385o 
 
 3918 
 
 3987 
 
 4o55 
 
 4124 
 
 4192 
 
 57 
 
 3 
 
 10.4401 i5 
 
 0180 
 
 0246 
 
 o3i2 
 
 0377 
 
 0443 
 
 56 
 
 3 
 
 4261 
 
 4329 
 
 4398 
 
 4466 
 
 4535 
 
 46o4 
 
 56 
 
 4 
 
 o5o9 
 
 0574 
 
 o64o 
 
 0706 
 
 0771 
 
 0837 
 
 55 
 
 4 
 
 4672 
 
 4741 
 
 4809 
 
 4878 
 
 4947 
 
 5oi5 
 
 55 
 
 5 
 
 0903 
 
 0969 
 
 io34 
 
 I 100 
 
 1166 
 
 1232 
 
 54 
 
 5 
 
 5o84 
 
 5i53 
 
 522 1 
 
 5290 
 
 5359 
 
 5427 
 
 54 
 
 6 
 
 1297 
 
 i363 
 
 1429 
 
 1495 
 
 1 56 1 
 
 1627 
 
 53 
 
 6 
 
 5496 
 
 5565 
 
 5633 
 
 5702 
 
 5771 
 
 584o 
 
 53 
 
 7 
 
 1692 
 
 1758 
 
 1824 
 
 1890 
 
 1956 
 
 2022 
 
 52 
 
 7 
 
 5908 
 
 5977 
 
 6o46 
 
 6ii5 
 
 6i84 
 
 6252 
 
 52 
 
 8 
 
 2087 
 
 2i53 
 
 2219 
 
 2285 
 
 235i 
 
 2417 
 
 5i 
 
 8 
 
 6321 
 
 6390 
 
 6459 
 
 6528 
 
 6596 
 
 6665 
 
 5i 
 
 9 
 
 2483 
 
 2549 
 
 2615 
 
 2681 
 
 2747 
 
 2813 
 
 5o 
 
 9 
 
 6734 
 
 68o3 
 
 6872 
 
 6941 
 
 7010 
 
 7079 
 
 5o 
 
 lO 
 
 10.442879 
 
 2945 
 
 3oii 
 
 3077 
 
 3i43 
 
 3209 
 
 49 
 
 10 
 
 10.467147 
 
 7216 
 
 7285 
 
 7354 
 
 742 3 
 
 7492 
 
 49 
 
 II 
 
 3275 
 
 3341 
 
 3407 
 
 3473 
 
 3539 
 
 36o5 
 
 48 
 
 1 1 
 
 7561 
 
 7630 
 
 7699 
 
 7768 
 
 7837 
 
 7906 
 
 48 
 
 12 
 
 3671 
 
 3737 
 
 38o3 
 
 3869 
 
 3935 
 
 4ooi 
 
 47 
 
 12 
 
 7975 
 
 8044 
 
 8ii3 
 
 8182 
 
 825i 
 
 8320 
 
 47 
 
 i3 
 
 4067 
 
 4i33 
 
 4200 
 
 4266 
 
 4332 
 
 4398 
 
 46 
 
 i3 
 
 8389 
 
 8458 
 
 8527 
 
 8597 
 
 8666 
 
 8735 
 
 46 
 
 i4 
 
 4464 
 
 453o 
 
 4596 
 
 4663 
 
 4729 
 
 4795 
 
 45 
 
 i4 
 
 8804 
 
 8873 
 
 8942 
 
 901 1 
 
 9080 
 
 9i5o 
 
 45 
 
 i5 
 
 486i 
 
 4927 
 
 4994 
 
 5o6o 
 
 5i26 
 
 5192 
 
 44 
 
 i5 
 
 9219 
 
 9288 
 
 9357 
 
 9426 
 
 9496 
 
 9565 
 
 44 
 
 i6 
 
 5259 
 
 5325 
 
 5391 
 
 5457 
 
 5524 
 
 5590 
 
 43 
 
 16 
 
 9634 
 
 9703 
 
 9772 
 
 9842 
 
 9911 
 
 9980 
 
 43 
 
 17 
 
 5656 
 
 5722 
 
 5789 
 
 5855 
 
 5921 
 
 5988 
 
 42 
 
 17 
 
 10.470049 
 
 01 19 
 
 0188 
 
 0257 
 
 0327 
 
 0896 
 
 42 
 
 i8 
 
 6o54 
 
 6120 
 
 6187 
 
 6253 
 
 6320 
 
 6386 
 
 4i 
 
 18 
 
 o465 
 
 o535 
 
 o6o4 
 
 0678 
 
 0743 
 
 0812 
 
 4i 
 
 '9 
 
 6452 
 
 65i9 
 
 6585 
 
 6652 
 
 6718 
 
 6784 
 
 40 
 
 '9 
 
 0881 
 
 0951 
 
 1020 
 
 1090 
 
 1 159 
 
 1228 
 
 4o 
 
 20 
 
 10.446S5I 
 
 6917 
 
 6984 
 
 7o5o 
 
 7117 
 
 7183 
 
 39 
 
 20 
 
 10.471298 
 
 i367 
 
 1437 
 
 i5o6 
 
 1576 
 
 1645 
 
 39 
 
 21 
 
 725o 
 
 7316 
 
 7383 
 
 7449 
 
 75i6 
 
 7582 
 
 38 
 
 21 
 
 1715 
 
 1784 
 
 i854 
 
 1923 
 
 1993 
 
 2062 
 
 38 
 
 22 
 
 7649 
 
 77i5 
 
 7782 
 
 7848 
 
 7915 
 
 7981 
 
 37 
 
 22 
 
 2l32 
 
 2201 
 
 2271 
 
 234o 
 
 2410 
 
 2480 
 
 37 
 
 2 3 
 
 8o48 
 
 81 1 5 
 
 8181 
 
 8248 
 
 83i4 
 
 838i 
 
 36 
 
 23 
 
 2549 
 
 2619 
 
 2688 
 
 2758 
 
 2828 
 
 2897 
 
 36 
 
 24 
 
 8448 
 
 85i4 
 
 858i 
 
 8647 
 
 8714 
 
 8781 
 
 35 
 
 24 
 
 2967 
 
 3o37 
 
 3 1 06 
 
 3176 
 
 3246 
 
 33i5 
 
 35 
 
 25 
 
 8847 
 
 8914 
 
 8981 
 
 9048 
 
 9114 
 
 9181 
 
 34 
 
 25 
 
 3385 
 
 3455 
 
 3524 
 
 3594 
 
 3664 
 
 3734 
 
 34 
 
 26 
 
 9248 
 
 9314 
 
 9381 
 
 9448 
 
 95i5 
 
 9581 
 
 33 
 
 26 
 
 38o3 
 
 3873 
 
 3943 
 
 4oi3 
 
 4082 
 
 4i52 
 
 33 
 
 27 
 
 9648 
 
 9715 
 
 9782 
 
 9848 
 
 99 1 5 
 
 9982 
 
 32 
 
 27 
 
 4222 
 
 4292 
 
 4362 
 
 4432 
 
 45oi 
 
 4571 
 
 32 
 
 28 
 
 10.450049 
 
 0116 
 
 oi83 
 
 0249 
 
 o3i6 
 
 o383 
 
 3i 
 
 28 
 
 464i 
 
 4711 
 
 4781 
 
 485i 
 
 4921 
 
 4991 
 
 3i 
 
 29 
 
 o45o 
 
 o5i7 
 
 o584 
 
 o65i 
 
 0717 
 
 0784 
 
 3o 
 
 29 
 
 5o6o 
 
 5i3o 
 
 5200 
 
 5270 
 
 5340 
 
 5410 
 
 3o 
 
 3o 
 
 io.45o85i 
 
 0918 
 
 0985 
 
 Io52 
 
 1 1 19 
 
 1186 
 
 29 
 
 3o 
 
 10.475480 
 
 555o 
 
 5620 
 
 5690 
 
 5760 
 
 583o 
 
 29 
 
 3i 
 
 1253 
 
 l320 
 
 1387 
 
 1454 
 
 l52I 
 
 i588 
 
 28 
 
 3i 
 
 5900 
 
 5970 
 
 6o4o 
 
 6110 
 
 6180 
 
 625o 
 
 28 
 
 32 
 
 i655 
 
 1722 
 
 1789 
 
 i856 
 
 1923 
 
 1990 
 
 27 
 
 32 
 
 6320 
 
 6391 
 
 646 1 
 
 653i 
 
 6601 
 
 6671 
 
 27 
 
 33 
 
 2057 
 
 2124 
 
 2191 
 
 2258 
 
 2325 
 
 2392 
 
 26 
 
 33 
 
 6741 
 
 6811 
 
 6881 
 
 6952 
 
 7022 
 
 7092 
 
 26 
 
 34 
 
 2460 
 
 2527 
 
 2594 
 
 2661 
 
 2728 
 
 2795 
 
 25 
 
 34 
 
 7162 
 
 7232 
 
 7302 
 
 7373 
 
 7443 
 
 75i3 
 
 25 
 
 35 
 
 2862 
 
 2929 
 
 2997 
 
 3o64 
 
 3i3i 
 
 3198 
 
 24 
 
 35 
 
 7583 
 
 7654 
 
 7724 
 
 7794 
 
 7864 
 
 7935 
 
 24 
 
 36 
 
 3265 
 
 3333 
 
 34oo 
 
 3467 
 
 3534 
 
 36o2 
 
 23 
 
 36 
 
 8oo5 
 
 8075 
 
 8i46 
 
 8216 
 
 8286 
 
 8357 
 
 23 
 
 37 
 
 3669 
 
 3736 
 
 38o3 
 
 3871 
 
 3938 
 
 4oo5 
 
 22 
 
 37 
 
 8427 
 
 8497 
 
 8568 
 
 8638 
 
 8708 
 
 8779 
 
 22 
 
 38 
 
 4072 
 
 4i4o 
 
 4207 
 
 4274 
 
 4342 
 
 4409 
 
 21 
 
 38 
 
 8849 
 
 8920 
 
 8990 
 
 9061 
 
 9i3i 
 
 9201 
 
 21 
 
 39 
 
 4476 
 
 4544 
 
 46ii 
 
 4678 
 
 4746 
 
 48i3 
 
 20 
 
 39 
 
 9272 
 
 9342 
 
 941 3 
 
 9483 
 
 9554 
 
 9624 
 
 20 
 
 4o 
 
 [0. 454881 
 
 4948 
 
 5oi5 
 
 5o83 
 
 5i5o 
 
 5218 
 
 19 
 
 40 
 
 10.479695 
 
 9765 
 
 9836 
 
 9906 
 
 9977 
 
 ..47 
 
 '9 
 
 4i 
 
 5285 
 
 5353 
 
 5420 
 
 5488 
 
 5555 
 
 5623 
 
 18 
 
 4i 
 
 10.4801 18 
 
 0189 
 
 0259 
 
 o33o 
 
 o4oo 
 
 0471 
 
 18 
 
 42 
 
 5690 
 
 5758 
 
 5825 
 
 5893 
 
 5960 
 
 6028 
 
 17 
 
 42 
 
 o542 
 
 0612 
 
 o683 
 
 0754 
 
 0824 
 
 0895 
 
 17 
 
 43 
 
 6095 
 
 6i63 
 
 623o 
 
 6298 
 
 6365 
 
 6433 
 
 16 
 
 43 
 
 0966 
 
 io36 
 
 1107 
 
 1178 
 
 1248 
 
 i3i9 
 
 16 
 
 44 
 
 65oi 
 
 6568 
 
 6636 
 
 6703 
 
 6771 
 
 6839 
 
 i5 
 
 44 
 
 1390 
 
 i46i 
 
 i53i 
 
 1602 
 
 1673 
 
 1744 
 
 i5 
 
 45 
 
 6906 
 
 6974 
 
 7042 
 
 7109 
 
 7177 
 
 7245 
 
 i4 
 
 45 
 
 i8i4 
 
 i885 
 
 1956 
 
 2027 
 
 2098 
 
 2169 
 
 i4 
 
 46 
 
 73i2 
 
 7380 
 
 7448 
 
 75i5 
 
 7583 
 
 765i 
 
 i3 
 
 46 
 
 2239 
 
 23l0 
 
 238i 
 
 2452 
 
 2523 
 
 2594 
 
 i3 
 
 47 
 
 7719 
 
 7786 
 
 7854 
 
 7922 
 
 7990 
 
 8o57 
 
 12 
 
 47 
 
 2665 
 
 2736 
 
 2807 
 
 2877 
 
 2948 
 
 3019 
 
 12 
 
 48 
 
 8i25 
 
 8193 
 
 8261 
 
 8329 
 
 8397 
 
 8464 
 
 II 
 
 48 
 
 3090 
 
 3i6i 
 
 3232 
 
 33o3 
 
 3374 
 
 3445 
 
 1 1 
 
 49 
 
 8532 
 
 8600 
 
 8668 
 
 8736 
 
 88o4 
 
 8872 
 
 10 
 
 49 
 
 35i6 
 
 3587 
 
 3658 
 
 3729 
 
 38oo 
 
 3871 
 
 10 
 
 5o 
 
 ro. 458939 
 
 9007 
 
 9075 
 
 9143 
 
 921 1 
 
 9279 
 
 9 
 
 5o 
 
 10.483943 
 
 4oi4 
 
 4o85 
 
 4i56 
 
 4227 
 
 4298 
 
 9 
 
 5i 
 
 9347 
 
 94i5 
 
 9483 
 
 9551 
 
 9619 
 
 9687 
 
 8 
 
 5i 
 
 4369 
 
 4440 
 
 45ii 
 
 4583 
 
 4654 
 
 4725 
 
 8 
 
 52 
 
 9755 
 
 9823 
 
 9891 
 
 9959 
 
 ..27 
 
 ..95 
 
 7 
 
 52 
 
 4796 
 
 4867 
 
 4938 
 
 5oio 
 
 5o8i 
 
 5i52 
 
 7 
 
 53 
 
 io.46oi63 
 
 023l 
 
 0299 
 
 0367 
 
 0435 
 
 o5o3 
 
 6 
 
 53 
 
 5223 
 
 5295 
 
 5366 
 
 5437 
 
 55o8 
 
 558o 
 
 6 
 
 54 
 
 0571 
 
 0639 
 
 0707 
 
 0776 
 
 0844 
 
 0912 
 
 5 
 
 54 
 
 565i 
 
 5722 
 
 5794 
 
 5865 
 
 5936 
 
 6008 
 
 5 
 
 55 
 
 0980 
 
 io48 
 
 II 16 
 
 ii84 
 
 1253 
 
 l32I 
 
 4 
 
 55 
 
 6079 
 
 6i5o 
 
 6222 
 
 6293 
 
 6364 
 
 6436 
 
 4 
 
 56 
 
 i389 
 
 1457 
 
 i525 
 
 1594 
 
 1662 
 
 1730 
 
 3 
 
 56 
 
 65o7 
 
 6579 
 
 665o 
 
 6722 
 
 6793 
 
 6864 
 
 3 
 
 57 
 
 1798 
 
 1867 
 
 1935 
 
 2oo3 
 
 2071 
 
 2l4o 
 
 2 
 
 57 
 
 6936 
 
 7007 
 
 7079 
 
 7i5o 
 
 7222 
 
 7293 
 
 2 
 
 58 
 
 2208 
 
 2276 
 
 2345 
 
 24i3 
 
 2481 
 
 255o 
 
 I 
 
 58 
 
 7365 
 
 7436 
 
 7508 
 
 7580 
 
 765i 
 
 7723 
 
 I 
 
 59 
 
 2618 
 
 2686 
 
 2755 
 
 2823 
 
 2891 
 
 2960 
 
 
 
 59 
 
 7794 
 
 7866 
 
 7937 
 
 8009 
 
 8081 
 
 8i52 
 
 
 
 
 60" 
 
 50"" 
 
 40" 30" 20" 
 
 10" 
 
 c 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 Co-tangent of 19 Degrees. 
 
 ^ 
 
 Co-tangent of 18 Degrees. 
 
 p p Ml" 2" 3" 4" 5" 6" 7" 8" 9" 
 f.i-artj^ 13 20 27 33 40 47 54 60 
 
 „ p Al" 2" 3" 4" 5" 6" 7" 8" 9" 
 P. Part j^ 14 21 28 35 42 49 56 63 
 
96 
 
 Logarithmic Sines. 
 
 
 Sine of 72 Decrees, 
 
 
 
 Sine of 73 Degrees. 
 
 
 0" I 10" 1 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 o 
 
 9.97820618213 
 
 8220 
 
 8227 
 
 8234 
 
 8241 
 
 59 
 
 
 
 9.980596 
 
 o6o3 
 
 0609 
 
 06x6 
 
 0622 
 
 0628 
 
 59 
 
 I 
 
 82478254 
 
 8261 
 
 8268 
 
 8275 
 
 8282 
 
 58 
 
 I 
 
 o635 
 
 064 X 
 
 o648 
 
 o654 
 
 0661 
 
 0667 
 
 58 
 
 2 
 
 8288 8295 
 
 83o2 
 
 83o9 
 
 83x6 
 
 8322 
 
 57 
 
 2 
 
 0673 
 
 0680 
 
 0686 
 
 0693 
 
 0699 
 
 0706 
 
 57 
 
 3 
 
 83298336 
 
 8343 
 
 835o 
 
 8357 
 
 8363 
 
 56 
 
 3 
 
 07x2 
 
 0718 
 
 0725 
 
 073X 
 
 0738 
 
 0744 
 
 56 
 
 4 
 
 8370 
 
 8377 
 
 8384 
 
 8391 
 
 8397 
 
 84o4 
 
 55 
 
 4 
 
 0750 
 
 0757 
 
 0763 
 
 0770 
 
 0776 
 
 0783 
 
 55 
 
 5 
 
 84ii 
 
 84i8 
 
 3425 
 
 843x 
 
 8438 
 
 8445 
 
 54 
 
 5 
 
 0789 
 
 0795 
 
 0802 
 
 0808 
 
 o8i5 
 
 0821 
 
 54 
 
 6 
 
 8452 
 
 845q 
 
 8465 
 
 8472 
 
 8479 
 
 8486 
 
 53 
 
 6 
 
 0827 
 
 o834 
 
 o84o 
 
 0847 
 
 o853 
 
 0859 
 
 53 
 
 7 
 
 8493|3499 
 
 85o6 
 
 85x3 
 
 8520 
 
 8527 
 
 52 
 
 7 
 
 0866 
 
 0872 
 
 0878 
 
 o885 
 
 089X 
 
 0898 
 
 52 
 
 8 
 
 8533!854o 
 
 8547 
 
 8554 
 
 856x 
 
 8567 
 
 5i 
 
 8 
 
 0904 
 
 0910 
 
 09x7 
 
 0923 
 
 0930 
 
 0936 
 
 5x 
 
 9 
 
 8574 
 
 858i 
 
 8588 
 
 8594 
 
 860X 
 
 8608 
 
 5o 
 
 9 
 
 0942 
 
 0949 
 
 0955 
 
 096X 
 
 0968 
 
 0974 
 
 5o 
 
 10 
 
 9.978615 
 
 8622 
 
 8628 
 
 8635 
 
 8642 
 
 8649 
 
 49 
 
 xo 
 
 9.980981 
 
 0987 
 
 0993 
 
 1000 
 
 1006 
 
 10x2 
 
 49 
 
 II 
 
 8655 
 
 8662 
 
 8669 
 
 8676 
 
 8682 
 
 8689 
 
 48 
 
 XI 
 
 1019 
 
 X025 
 
 io3x 
 
 xo38 
 
 xo44 
 
 xo5x 
 
 48 
 
 12 
 
 8696 
 
 S703 
 
 8709 
 
 87x6 
 
 8723 
 
 8730 
 
 47 
 
 12 
 
 io57 
 
 xo63 
 
 X070 
 
 1076 
 
 1082 
 
 1089 
 
 47 
 
 i3 
 
 8737 
 
 8743 
 
 8750 
 
 8757 
 
 8764 
 
 8770 
 
 46 
 
 i3 
 
 X095 
 
 XlOX 
 
 XX08 
 
 X xi4 
 
 X120 
 
 1 127 
 
 46 
 
 i4 
 
 8777 
 
 8784 
 
 8791 
 
 8797 
 
 88o4 
 
 8811 
 
 45 
 
 i4 
 
 1x33 
 
 xx39 
 
 xi46 
 
 Il52 
 
 1x58 
 
 1x65 
 
 45 
 
 i5 
 
 8817 
 
 8824 
 
 883i 
 
 8838 
 
 8844 
 
 885x 
 
 44 
 
 x5 
 
 117X 
 
 1x77 
 
 xi84 
 
 II90 
 
 XX96 
 
 X203 
 
 44 
 
 i6 
 
 8858 
 
 8865 
 
 8871 
 
 8878 
 
 8885 
 
 8892 
 
 43 
 
 x6 
 
 1209 
 
 12X5 
 
 1222 
 
 1228 
 
 1234 
 
 1241 
 
 43 
 
 n 
 
 8898 
 
 8905 
 
 8912 
 
 8918 
 
 8925 
 
 8932 
 
 42 
 
 17 
 
 1247 
 
 X253 
 
 1260 
 
 X266 
 
 X272 
 
 1279 
 
 42 
 
 i8 
 
 8939 
 
 8945 
 
 8952 
 
 8959 
 
 8965 
 
 8972 
 
 4i 
 
 x8 
 
 1285 
 
 129X 
 
 1298 
 
 i3o4 
 
 x3xo 
 
 x3x7 
 
 4i 
 
 19 
 
 8979 
 
 8986 
 
 8992 
 
 8999 
 
 9006 
 
 9012 
 
 4o 
 
 19 
 
 i323 
 
 x329 
 
 i336 
 
 1 342 1 348 
 
 x354 
 
 4o 
 
 20 
 
 9.979019 
 
 9026 
 
 9033 
 
 9039 
 
 9046 
 
 9053 
 
 39 
 
 20 
 
 9.98x361 
 
 x367 
 
 x373 
 
 x38o x386 
 
 1392 
 
 39 
 
 21 
 
 9059 
 
 9066 
 
 9073 
 
 9079 
 
 9086 
 
 9093 
 
 38 
 
 2X 
 
 1399 
 
 x4o5 
 
 i4ii 
 
 x4x7 1424 
 
 x43o 
 
 38 
 
 22 
 
 9100 
 
 9106 
 
 91x3 
 
 9x20 
 
 9x26 
 
 9x33 
 
 37 
 
 22 
 
 i436 
 
 1443 
 
 1449 
 
 x455 x46i 
 
 x468 
 
 37 
 
 23 
 
 9140 
 
 9146 
 
 9x53 
 
 9x60 
 
 9x66 
 
 9x73 
 
 36 
 
 23 
 
 1474 
 
 i48o 
 
 1487 
 
 1493,1499 
 
 x5o5 
 
 36 
 
 24 
 
 9180 
 
 9186 
 
 9193 
 
 9200 
 
 9206 
 
 92x3 
 
 35 
 
 24 
 
 I5X2 
 
 x5x8 
 
 x524 
 
 i53x!i537 
 
 x543 
 
 35 
 
 25 
 
 9220 
 
 9227 
 
 9233 
 
 9240 
 
 9247 
 
 9253 
 
 34 
 
 25 
 
 1549 
 
 x556 
 
 x562 
 
 i568 1574 
 
 x58x 
 
 34 
 
 26 
 
 9260 
 
 9267 
 
 9273 
 
 9280 
 
 9287 
 
 9293 
 
 33 
 
 26 
 
 i587 
 
 X593 
 
 x599 
 
 1606 
 
 16x2 
 
 1618 
 
 33 
 
 27 
 
 9300 
 
 9806 
 
 93x3 
 
 9320 
 
 9326 
 
 9333 
 
 32 
 
 27 
 
 1625 
 
 x63x 
 
 x637 
 
 1643 
 
 i65o 
 
 i656 
 
 32 
 
 28 
 
 9340 
 
 9346 
 
 9353 
 
 9360 
 
 9366 
 
 9373 
 
 3x 
 
 28 
 
 1662 
 
 x668 
 
 X675 
 
 1681 
 
 X687 
 
 X693 
 
 3x 
 
 29 
 
 9380 
 
 9386 
 
 9393 
 
 9400 
 
 9406 
 
 94i3 
 
 3o 
 
 29 
 
 1700 
 
 X706 
 
 X712 
 
 17x8 
 
 1724 
 
 X73x 
 
 3o 
 
 3o 
 
 9.979420 
 
 9426 
 
 9433 
 
 9439 
 
 9446 
 
 9453 
 
 29 
 
 3o 
 
 9.981737 
 
 1743 
 
 X749 
 
 X756 X762 
 
 1768 
 
 29 
 
 3i 
 
 9459 
 
 9466 
 
 9473 
 
 9479 
 
 9486 
 
 9492 
 
 28 
 
 3x 
 
 1774 
 
 X78X 
 
 X787 
 
 X793 
 
 1799 
 
 1806 
 
 28 
 
 32 
 
 9499 
 
 9506 
 
 95x2 
 
 95x9 
 
 9526 
 
 9532 
 
 27 
 
 32 
 
 i3x2 
 
 x8x8 
 
 1824 i83o 
 
 x837 
 
 1843 
 
 27 
 
 33 
 
 9539 
 
 9545 
 
 9552 
 
 9559 
 
 9565 
 
 9572 
 
 26 
 
 33 
 
 1849 
 
 i855 
 
 i86x 1868 
 
 1874 
 
 x88o 
 
 26 
 
 34 
 
 9579 
 
 9585 
 
 9592 
 
 9598 
 
 9605 
 
 96x2 
 
 25 
 
 34 
 
 x886 
 
 X893 
 
 X8991905 
 
 X911 
 
 X917 
 
 25 
 
 35 
 
 9618 
 
 9625 
 
 963x 
 
 9638 
 
 9645 
 
 965x 
 
 24 
 
 35 
 
 1924 
 
 X930 
 
 X936 1942 
 
 X948 
 
 X955 
 
 24 
 
 36 
 
 9658 
 
 9664 
 
 9671 
 
 9678 
 
 9684 
 
 969X 
 
 23 
 
 36 
 
 196X 
 
 X967 
 
 X973 
 
 1979 
 
 X986 
 
 X992 
 
 23 
 
 37 
 
 9697 
 
 9704 
 
 971X 
 
 9717 
 
 9724 
 
 9730 
 
 22 
 
 37 
 
 1998 
 
 2004 
 
 2010 
 
 20x6 
 
 2023 
 
 2029 
 
 22 
 
 38 
 
 9737 
 
 9743 
 
 9750 
 
 9757 
 
 9763 
 
 9770 
 
 21 
 
 38 
 
 2o35 
 
 2o4l 
 
 2047 
 
 2o54 
 
 2060 
 
 2066 
 
 21 
 
 39 
 
 9776 
 
 9783 
 
 9790 
 
 9796 
 
 9803 
 
 9809 
 
 20 
 
 39 
 
 2072 
 
 2078 
 
 2084 
 
 209X 
 
 2097 
 
 2io3 
 
 20 
 
 4o 
 
 9.979816 
 
 9822 
 
 9829 
 
 9836 
 
 9842 
 
 9849 
 
 19 
 
 40 
 
 9.982109 
 
 21 x5 
 
 2X22 2x28 
 
 2x34 
 
 2l4o 
 
 19 
 
 4i 
 
 9855 
 
 9862 
 
 9868 
 
 9875 
 
 9881 
 
 9888 
 
 x8 
 
 4i 
 
 2l46 
 
 2X52 
 
 2X59 2'^^ 
 
 2x71 
 
 2x77 
 
 18 
 
 42 
 
 9895 
 
 9901 
 
 9908 
 
 99x4 
 
 992X 
 
 9927 
 
 17 
 
 42 
 
 2x83 
 
 2189 
 
 2195 2202 
 
 2208 
 
 22X4 
 
 17 
 
 43 
 
 9934 
 
 9940 
 
 9947 99^41 
 
 9960 
 
 9967 
 
 16 
 
 43 
 
 2220 
 
 2226 
 
 2232 2239 
 
 2245 
 
 225l 
 
 x6 
 
 44 
 
 9973 
 
 9980 
 
 9986 
 
 9993 
 
 9999 
 
 ...6 
 
 x5 
 
 44 
 
 2257 
 
 2263 
 
 2269 2275 
 
 2282 
 
 2288 
 
 i5 
 
 45 
 
 9.980012 
 
 0019 
 
 0026 
 
 oo32 
 
 0039 
 
 0045 
 
 i4 
 
 45 
 
 2294 
 
 23oo 
 
 23o6|23l2 
 
 23x8 
 
 2324 
 
 i4 
 
 46 
 
 oo52 
 
 oo58 
 
 oo65 
 
 007X 
 
 0078 
 
 0084 
 
 i3 
 
 46 
 
 233x 
 
 2337 
 
 2343,2349 
 
 2355 
 
 236x 
 
 x3 
 
 47 
 
 0091 
 
 0097 
 
 oxo4 
 
 oxxo 
 
 0XX7 
 
 0X23 
 
 X2 
 
 47 
 
 2367 
 
 2373 
 
 23802386 
 
 2392 
 
 2398 
 
 X2 
 
 48 
 
 oi3o 
 
 oi36 
 
 0x43 
 
 0149 
 
 0x56 
 
 0x63 
 
 XX 
 
 48 
 
 24o4 
 
 2410 
 
 24x6 2422 
 
 2429 
 
 2435 
 
 XI 
 
 49 
 
 0169 
 
 0176 
 
 0x82 
 
 0x89 
 
 0195 
 
 0202 
 
 10 
 
 49 
 
 2441 
 
 2447 
 
 2453 
 
 2459 
 
 2465 
 
 2471 
 
 XO 
 
 5o 
 
 9.980208 
 
 02l5 
 
 022X 
 
 0228 
 
 0234 
 
 024x 
 
 9 
 
 5o 
 
 9.982477 
 
 2484 
 
 2490 2496 
 
 25o2 
 
 25oS 
 
 9 
 
 5i 
 
 0247 
 
 0254 
 
 0260 
 
 0267 
 
 0273 
 
 0280 
 
 8 
 
 5x 
 
 25x4 
 
 2520 
 
 25262532 
 
 2538 
 
 2544 
 
 8 
 
 52 
 
 0286 
 
 0293 
 
 0299 
 
 o3o6 
 
 03X2 
 
 o3x8 
 
 7 
 
 52 
 
 255x 
 
 2557 
 
 2563 256g 
 
 2575 
 
 258x 
 
 7 
 
 53 
 
 o325 
 
 o33i 
 
 o338 
 
 o344 
 
 o35x 
 
 0357 
 
 6 
 
 53 
 
 2587 
 
 2593 
 
 2599 
 
 2605 
 
 26XX 
 
 26x7 
 
 6 
 
 54 
 
 o364 
 
 0370 
 
 0377 
 
 o383 
 
 0390 
 
 0396 
 
 5 
 
 54 
 
 2624 
 
 263o 
 
 2636 
 
 2642 
 
 2648 
 
 2654 
 
 5 
 
 55 
 
 o4o3 
 
 0409 
 
 o4i6 
 
 0422 
 
 0429 
 
 0435 
 
 4 
 
 55 
 
 2660 
 
 2666 
 
 2672 
 
 2678 
 
 2684 
 
 2690 
 
 4 
 
 56 
 
 0442 
 
 o448 
 
 0454 
 
 o46x 
 
 0467 
 
 0474 
 
 3 
 
 56 
 
 2696 
 
 2702 
 
 2709 
 
 27x5 
 
 2721 
 
 2727 
 
 3 
 
 57 
 
 c 
 
 o48o 
 
 0487 
 
 0493 
 
 o5oo 
 
 o5o6 
 
 o5i3 
 
 2 
 
 57 
 
 2733 
 
 2739 
 
 2745 275x| 
 
 2757 
 
 2763 
 
 2 
 
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 59 
 
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 2824 
 
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 2836 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
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 a 
 
 
 60" 50" 
 
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 30" 
 
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 10" 
 
 
 Co-sine of 17 Degrees. 
 
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 Co-sine of 16 Degrees. 
 
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 Tangent of 73 Degrees. 
 
 
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 30" 
 
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 54 
 
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 53 
 
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 10.492540 
 
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 2901 
 
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 9427 
 
 95o3 
 
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 48 
 
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 12 
 
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 43 
 
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 42 
 
 17 
 
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 2781 
 
 42 
 
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 33i7 
 
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 10.496891 
 
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 39 
 
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 to. 523777 
 
 3853 
 
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 4 1 60 
 
 39 
 
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 7401 
 
 7474 
 
 7547 
 
 7619 
 
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 38 
 
 21 
 
 4237 
 
 43i3 
 
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 4544 
 
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 38 
 
 22 
 
 7765 
 
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 37 
 
 22 
 
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 485i 
 
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 37 
 
 33 
 
 8203 
 
 8276 
 
 8349 
 
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 8495 
 
 8568 
 
 36 
 
 23 
 
 5i58 
 
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 53i2 
 
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 5542 
 
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 24 
 
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 8714 
 
 8787 
 
 8860 
 
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 35 
 
 24 
 
 5619 
 
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 585o 
 
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 6oo4 
 
 35 
 
 25 
 
 9080 
 
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 9226 
 
 9299 
 
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 9445 
 
 34 
 
 25 
 
 6081 
 
 6i58 
 
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 63i2 
 
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 6466 
 
 34 
 
 26 
 
 9519 
 
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 9665 
 
 9738 
 
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 33 
 
 26 
 
 6543 
 
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 33 
 
 27 
 
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 32 
 
 27 
 
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 73i4 
 
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 32 
 
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 32 
 
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 32 
 
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 27 
 
 33 
 
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 26 
 
 33 
 
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 26 
 
 34 
 
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 3190 
 
 3264 
 
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 34ii 
 
 25 
 
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 25 
 
 35 
 
 3485 
 
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 3854 
 
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 35 
 
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 23 
 
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 1186 
 
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 23 
 
 37 
 
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 45i8 
 
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 37 
 
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 38 
 
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 21 
 
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 21 
 
 39 
 
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 54o5 
 
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 2743 
 
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 19 
 
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 18 
 
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 3758 
 
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 18 
 
 42 
 
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 7 
 
 53 
 
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 6 
 
 53 
 
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 54 
 
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 5 
 
 54 
 
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 9730 
 
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 9888 
 
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 5 
 
 55 
 
 2407 
 
 2482 
 
 2557 
 
 2632 
 
 2707 
 
 2782 
 
 4 
 
 55 
 
 10.540125 
 
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 4 
 
 56 
 
 2857 
 
 2932 
 
 3007 
 
 3082 
 
 3i57 
 
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 3 
 
 56 
 
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 0679 
 
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 0837 
 
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 3 
 
 57 
 
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 3533 
 
 36o8 
 
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 2 
 
 57 
 
 1075 
 
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 1234 
 
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 1392 
 
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 58 
 
 3758 
 
 3833 
 
 3908 
 
 3984 
 
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 58 
 
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 1710 
 
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 1948 
 
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 59 
 
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 436o 
 
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 4586 
 
 
 
 59 
 
 2027 
 
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 2186 
 
 2265 2345 
 
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 60" 
 
 5C" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 20" 1 
 
 10" 
 
 5 
 
 Co-tangent of 17 Degrees. 
 
 Co-tangent of 16 Degrees. 
 
 P.] 
 
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 P. 
 
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 Q 
 
98 
 
 
 Log 
 
 ue of 74 Degrees. 
 
 AKiTHMic Sines. 
 
 
 
 
 
 
 
 Si 
 
 
 
 
 Sine of 75 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 1 50" 
 
 0" 1 10" 
 
 ao" 
 
 30" 
 
 40" 
 
 TM" 
 
 o 
 
 9.982842 
 
 2878 
 
 2848 
 
 ■ 2854 
 
 2860 
 
 2866 2872 
 
 59 
 
 
 
 9.984944 
 
 4949 
 
 4955 
 
 4961 
 
 4966I4972 
 
 59 
 
 I 
 
 2884 
 
 2890 
 
 2896 
 
 2902 2908 
 
 58 
 
 I 
 
 4978 
 
 4983 
 
 4989 4995 
 
 5ooo 
 
 5oo6 
 
 58 
 
 2 
 
 20l4 
 
 2Q20 
 
 2026 
 
 2932 
 
 2938 2944 
 
 57 
 
 2 
 
 5oi 1 
 
 5oi7 
 
 5o23 
 
 5028 
 
 5o34 
 
 5o4o 
 
 57 
 
 3 
 
 2960 
 
 / 1 r 
 
 2y56 2g62 
 
 2968 
 
 2974 2980 
 
 56 
 
 3 
 
 5o45 
 
 5o5i 
 
 5o56 5o62 
 
 5o68 
 
 5073 
 
 56 
 
 4 
 
 2986 
 
 3022 
 
 2992 
 
 2998 
 
 3oo4 
 
 3oio 
 
 3oi6 
 
 55 
 
 4 
 
 5079 
 
 5o84 
 
 5090 
 
 5096 
 
 5ioi 
 
 5io7 
 
 55 
 
 5 
 
 3028 
 
 3o34 
 
 3o4o 
 
 3o46 
 
 3o52 
 
 54 
 
 5 
 
 5ii3 
 
 5n8 
 
 5i24 
 
 5i29 
 
 5i35 
 
 5i4i 
 
 54 
 
 6 
 
 3o58 
 
 3o64 
 
 3070 
 
 3076 
 
 3082 
 
 3o88 
 
 53 
 
 6 
 
 5i46 
 
 5i52 
 
 5i57 
 
 5i63 
 
 5169 
 
 5174 
 
 53 
 
 7 
 
 3094 
 
 3(00 
 
 3io6 
 
 3lI2 
 
 3ii8 
 
 3i24 
 
 52 
 
 7 
 
 5i8o 
 
 5i85 
 
 5191 
 
 5i97 
 
 5202 
 
 5208 
 
 52 
 
 1 
 
 8 
 
 3i3o 
 
 3i36 
 
 3l42 
 
 3i48 
 
 3 1 54 
 
 3 1 60 
 
 5i 
 
 8 
 
 52i3 
 
 5219 
 
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 523o 
 
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 524i 
 
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 3172 
 
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 3i84 
 
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 5o 
 
 9 
 
 5247 
 
 5252 
 
 5258 
 
 5264 
 
 5269 
 
 5275 
 
 5o 
 
 7 
 
 10 
 
 0.983202 
 
 3208 
 
 32r4 
 
 3220 
 
 3226 
 
 32 32 
 
 49 
 
 10 
 
 9.985280 
 
 5286 
 
 5291 
 
 5297 
 
 53o3 
 
 53o8 
 
 49 
 
 1 1 
 
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 3244 
 
 325o 
 
 3256 
 
 3262 
 
 3268 
 
 48 
 
 1 1 
 
 53i4 
 
 5319 
 
 5325 
 
 533o 
 
 5336 
 
 5342 
 
 48 
 
 12 
 
 3273 
 
 3279 
 
 3285 
 
 3291 
 
 3297 
 
 33o3 
 
 47 
 
 12 
 
 5347 
 
 5353 
 
 5358 
 
 5364 
 
 5369 
 
 5375 
 
 47 
 
 i3 
 
 3309 
 
 33i5 
 
 3321 
 
 3327 
 
 3333 
 
 3339 
 
 46 
 
 i3 
 
 538i 
 
 5386 
 
 5392 
 
 5397 
 
 54o3 
 
 5408 
 
 46 
 
 i4 
 
 3345 
 
 335i 
 
 3357 
 
 3363 
 
 3369 
 
 3375 
 
 45 
 
 i4 
 
 54i4 
 
 5419 
 
 5425 
 
 543o 
 
 5436 
 
 5442 
 
 45 
 
 i5 
 
 338i 
 
 3386 
 
 3392 
 
 3398 
 
 34o4 
 
 3410 
 
 44 
 
 i5 
 
 5447 
 
 5453 
 
 5458 
 
 5464 
 
 5469 
 
 5475 
 
 44 
 
 i6 
 
 3416 
 
 3422 
 
 3428 
 
 3434 
 
 3440 
 
 3446 
 
 43 
 
 16 
 
 5480 
 
 5486 
 
 5491 
 
 5497 
 
 55o2 
 
 55o8 
 
 43 
 
 I? 
 
 3452 
 
 3458 
 
 3464 
 
 3469 
 
 3475 
 
 3481 
 
 42 
 
 J7 
 
 55x4 
 
 5519 
 
 5525 
 
 553o 
 
 5536 
 
 5541 
 
 42 
 
 i8 
 
 34S7 
 
 3493 
 
 3499 
 
 35o5 
 
 35ii 
 
 3517 
 
 4i 
 
 18 
 
 5547 
 
 5552 
 
 5558 
 
 5563 
 
 5569 
 
 5574 
 
 4i 
 
 19 
 
 3523 
 
 3529 
 
 3535 
 
 3540 
 
 3546 
 
 3552 
 
 4o 
 
 '9 
 
 558o 
 
 5585 
 
 5591 
 
 5596 
 
 56o2 
 
 5607 
 
 4o 
 
 20 
 
 9.983558 
 
 3564 
 
 3570 
 
 3576 
 
 3582 
 
 3588 
 
 39 
 
 20 
 
 9.985613 
 
 56i8 
 
 5624 
 
 5629 
 
 5635 
 
 564o 
 
 39 
 
 21 
 
 3594 
 
 3599 
 
 36o5 
 
 36ii 
 
 3617 
 
 362 3 
 
 38 
 
 21 
 
 5646 
 
 565i 
 
 5657 
 
 5662 
 
 5668 
 
 5673 
 
 38 
 
 22 
 
 3629 
 
 3635 
 
 364 1 
 
 3647 
 
 3653 
 
 3658 
 
 37 
 
 22 
 
 5679 
 
 5684 
 
 5690 
 
 5695 
 
 5701 
 
 5706 
 
 37 
 
 23 
 
 3664 
 
 3670 
 
 3676 
 
 3682 
 
 3688 
 
 3694 
 
 36 
 
 23 
 
 5712 
 
 5717 
 
 5723 
 
 5728 
 
 5734 
 
 5739 
 
 36 
 
 24 
 
 3700 
 
 3705 
 
 3711 
 
 3717 
 
 3723 
 
 3729 
 
 35 
 
 24 
 
 5745 
 
 5750 
 
 5756 
 
 5761 
 
 5767 
 
 5772 
 
 35 
 
 25 
 
 3735 
 
 3741 
 
 3747 
 
 3752 
 
 3758 
 
 3764 
 
 34 
 
 25 
 
 5778 
 
 5783 
 
 5789 
 
 5794 
 
 58oo 
 
 58o5 
 
 34 
 
 26 
 
 3770 
 
 3776 
 
 3782 
 
 3788 
 
 3794 
 
 3799 
 
 33 
 
 26 
 
 58ii 
 
 58i6 
 
 5822 
 
 5827 
 
 5832 
 
 5838 
 
 33 
 
 27 
 
 38o5 
 
 38ii 
 
 3817 
 
 3823 
 
 3829 
 
 3835 
 
 32 
 
 27 
 
 5843 
 
 5849 
 
 5854 
 
 586o 
 
 5865 
 
 5871 
 
 32 
 
 28 
 
 384o 
 
 3846 
 
 3852 
 
 3858 
 
 3864 
 
 3870 
 
 3i 
 
 28 
 
 5876 
 
 5882 
 
 5S87 
 
 5893 
 
 5898 
 
 5903 
 
 3i 
 
 29 
 
 3875 
 
 388i 
 
 3887 
 
 3893 
 
 3899 
 
 3905 
 
 3o 
 
 29 
 
 5909 
 
 5914 
 
 5920 
 
 5925 
 
 5931 
 
 5936 
 
 3o 
 
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 9.93391 1 
 
 3916 
 
 3922 
 
 392S 
 
 3934 
 
 3940 
 
 29 
 
 3o 
 
 9.985942 
 
 5947 
 
 5952 
 
 5958 
 
 5963 
 
 5969 
 
 29 
 
 3i 
 
 3946 
 
 3951 
 
 3957 
 
 3963 
 
 3969 
 
 3975 
 
 28 
 
 3i 
 
 5974 
 
 5980 
 
 5985 
 
 5991 
 
 5996 
 
 6001 
 
 28 
 
 32 
 
 3981 
 
 3986 
 
 3992 
 
 3998 
 
 4oo4 
 
 4oio 
 
 27 
 
 32 
 
 6007 
 
 6012 
 
 6018 
 
 6023 
 
 6029 
 
 6o34 
 
 27 
 
 33 
 
 4oi5 
 
 402I 
 
 4027 
 
 4o33 
 
 4o39 
 
 4o45 
 
 26 
 
 33 
 
 6039 
 
 6045 
 
 6o5o 
 
 6o56 
 
 6061 
 
 6067 
 
 26 
 
 34 
 
 4o5o 
 
 4o56 
 
 4062 
 
 4068 
 
 4074 
 
 4079 
 
 2 5 
 
 34 
 
 6072 
 
 6077 
 
 6o83 
 
 6088 
 
 6094 
 
 6099 
 
 2 5 
 
 35 
 
 4o85 
 
 4091 
 
 4097 
 
 4io3 
 
 4io8 
 
 4ii4 
 
 24 
 
 35 
 
 6io4 
 
 61 10 
 
 6ii5 
 
 6121 
 
 6126 
 
 6i32 
 
 24 
 
 36 
 
 4l20 
 
 4126 
 
 4t32 
 
 4i37 
 
 4i43 
 
 4i49 
 
 23 
 
 36 
 
 6137 
 
 6142 
 
 6i48 
 
 6i53 
 
 6159 
 
 6i64 
 
 23 
 
 37 
 
 4i55 
 
 4i6i 
 
 4i66 
 
 4172 
 
 4178 
 
 4i84 
 
 12 
 
 37 
 
 6169 
 
 6175 
 
 6180 
 
 6186 
 
 6191 
 
 6196 
 
 22 
 
 38 
 
 4190 
 
 4195 
 
 4201 
 
 4207 
 
 42l3 
 
 4218 
 
 21 
 
 38 
 
 6202 
 
 6207 
 
 6212 
 
 6218 
 
 6223 
 
 6229 
 
 21 
 
 39 
 
 4224 
 
 423o 
 
 4236 
 
 4242 
 
 4247 
 
 4253 
 
 20 
 
 39 
 
 6234 
 
 6239 
 
 6245 
 
 625o 
 
 6256 
 
 6261 
 
 20 
 
 4o 
 
 9.984259 
 
 4265 
 
 4270 
 
 4276 
 
 4282 
 
 4288 
 
 19 
 
 4o 
 
 9. 986266 
 
 6272 
 
 6277 
 
 6282 
 
 6288 
 
 6293 
 
 '9 
 
 4i 
 
 4294 
 
 4299 
 
 43o5 
 
 43ii 
 
 4317 
 
 4322 
 
 18 
 
 4i 
 
 6299 
 
 63o4 
 
 63o9 
 
 63i5 
 
 6320 
 
 6325 
 
 18 
 
 42 
 
 4328 
 
 4334 
 
 4340 
 
 4345 
 
 435i 
 
 4357 
 
 17 
 
 42 
 
 633i 
 
 6336 
 
 6342 
 
 6347 
 
 6352 
 
 6358 
 
 17 
 
 43 
 
 4363 
 
 4368 
 
 4374 
 
 438o 
 
 4386 
 
 4391 
 
 16 
 
 43 
 
 6363 
 
 6368 
 
 6374 
 
 6379 
 
 6384 
 
 6390 
 
 16 
 
 44 
 
 4397 
 
 44o3 
 
 4409 
 
 44i4 
 
 4420 
 
 4426 
 
 i5 
 
 44 
 
 6395 
 
 64oi 
 
 64o6 
 
 64ii 
 
 6417 
 
 6422 
 
 i5 
 
 45 
 
 4432 
 
 4437 
 
 4443 
 
 4449 
 
 4455 
 
 4460 
 
 .4 
 
 45 
 
 6427 
 
 6433 
 
 6438 
 
 6443 
 
 6449 
 
 6454 
 
 i4 
 
 46 
 
 4466 
 
 4472 
 
 4477 
 
 4483 
 
 4489 
 
 4495 
 
 i3 
 
 46 
 
 6459 
 
 6465 
 
 6470 
 
 6475 
 
 648i 
 
 6486 
 
 i3 
 
 47 
 
 45oo 
 
 45o6 
 
 45i2 
 
 45i8 
 
 4523 
 
 4529 
 
 12 
 
 47 
 
 6491 
 
 6497 
 
 65o2 
 
 65o7 
 
 65i3 
 
 65i8 
 
 12 
 
 48 
 
 4535 
 
 4540 
 
 4546 
 
 4552 
 
 4558 
 
 4563 
 
 II 
 
 48 
 
 6523 
 
 6529 
 
 6534 
 
 6539 
 
 6545 
 
 655o 
 
 1 1 
 
 49 
 
 4569 
 
 4575 
 
 458o 
 
 4586 
 
 4592 
 
 4598 
 
 10 
 
 49 
 
 6555 
 
 656i 
 
 6566 
 
 6571 
 
 6577 
 
 6582 
 
 TO 
 
 5o 
 
 9.984603 
 
 4609 
 
 46i5 
 
 4620 
 
 4626^4632 
 
 9 
 
 5o 
 
 9.986587 
 
 6593 
 
 6598 
 
 66o3 
 
 6608 
 
 66i4 
 
 9 
 
 5i 
 
 4638 
 
 4643 
 
 4649 
 
 4655 
 
 466o'4666 
 
 8 
 
 5i 
 
 6619 
 
 6624 
 
 663o 
 
 6635 
 
 664o 
 
 6646 
 
 8 
 
 52 
 
 4672 
 
 4677 
 
 4683 
 
 4689 
 
 4694 4700 
 
 7 
 
 52 
 
 665i 
 
 6656 
 
 6661 
 
 6667 
 
 6672 
 
 6677 
 
 7 
 
 53 
 
 4706 
 
 4712 
 
 4717 
 
 4723 
 
 4729'4734 
 
 6 
 
 53 
 
 6683 
 
 6688 
 
 6693 
 
 6699 
 
 6704 
 
 6709 
 
 6 
 
 54 
 
 4740 
 
 4746 
 
 4751 
 
 4757 
 
 47634768 
 
 5 
 
 54 
 
 6714 
 
 6720 
 
 6725 
 
 6730 
 
 6736 
 
 6741 
 
 5 
 
 55 
 
 4774 
 
 4780 
 
 4785 
 
 4791 
 
 ^797 
 
 4802 
 
 4 
 
 55 
 
 6746 
 
 6751 
 
 6757 
 
 6762 
 
 6767 
 
 6773 
 
 4 
 
 56 
 
 4808 
 
 48i4 
 
 4819 
 
 4825 
 
 483 1 
 
 4836 
 
 3 
 
 56 
 
 6778 
 
 6783 
 
 6788 
 
 6794 
 
 6799 
 
 68o4 
 
 3 
 
 57 
 
 4842 
 
 4848 
 
 4853 
 
 4859 
 
 48654870 
 
 2 
 
 57 
 
 6809 
 
 68i5 
 
 6820 
 
 6825 
 
 683i 
 
 6836 
 
 2 
 
 58 
 
 4876 
 
 4882 
 
 4887 
 
 4893 
 
 4899 4904 
 
 I 
 
 58 
 
 684i 
 
 6846 
 
 6852 
 
 6857 
 
 6862 
 
 6867 
 
 I 
 
 59 
 
 4910 
 
 4916 
 
 4921 
 40" 
 
 4927 
 
 4932'4938 
 
 
 
 59 
 
 6873 
 
 6878 
 
 6883 
 
 6888 
 
 6894 
 
 6899 
 
 
 
 
 60" 
 
 50" 
 
 30' 
 
 20" 1 10" 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 20" 1 
 
 10' 
 
 
 Co-s 
 
 ine of 16 Degrees. 
 
 
 Co-sine of 14 Degrees. 
 
 p.r 
 
 \ 1" 2 
 
 ' 3" 
 2 
 
 4" 
 
 2 
 
 5' 6 
 3 3 
 
 ' 7" 
 4 
 
 8" 9" 
 5 5 
 
 ppnrfi 1" 2" 3" 4" 5" 6" 7" 8' 9" 
 ^•'^'*"/ 112 2 3 3 4 4 5 
 
Logarithmic Tangents. 
 
 99 
 
 
 i 
 
 Tantjent of 74 Dea^rees. 
 
 
 
 Tant^ent of 75 Degrees. 
 
 59 
 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 hO" 
 
 
 
 
 io.5425o^ 
 
 2583 
 
 2663 
 
 2742 
 
 2822 
 
 2901 
 
 59 
 
 
 
 10.571948 
 
 2o32 
 
 21 l6 
 
 2200 
 
 2285 
 
 2369 
 
 
 I 
 
 2981 
 
 3o6o 
 
 3i4o 
 
 3219 
 
 3299 
 
 3378 
 
 58 
 
 I 
 
 2453 
 
 2537 
 
 2622 
 
 2706 
 
 2790 
 
 2875 
 
 58 
 
 
 2 
 
 3458 
 
 3538 
 
 3617 
 
 3697 
 
 3777 
 
 3856 
 
 57 
 
 2 
 
 2959 
 
 3o44 
 
 3128 
 
 3212 
 
 3297 
 
 338i 
 
 57 
 
 
 3 
 
 3936 
 
 4oi6 
 
 4095 
 
 4175 
 
 4255 
 
 4335 
 
 56 
 
 3 
 
 3466 
 
 35 5o 
 
 3635 
 
 3719 
 
 38o4 
 
 3888 
 
 56 
 
 
 4 
 
 44 1 4 
 
 4494 
 
 4574 
 
 4654 
 
 4733 
 
 48i3 
 
 55 
 
 4 
 
 3973 
 
 4o58 
 
 4i42 
 
 4227 
 
 43ii 
 
 4396 
 
 55 
 
 
 5 
 
 4893 
 
 4973 
 
 5o53 
 
 5i33 
 
 52i3 
 
 5292 
 
 54 
 
 5 
 
 448 1 
 
 4565 
 
 465o 
 
 4735 
 
 4819 
 
 4904 
 
 54 
 
 
 6 
 
 5372 
 
 5452 
 
 5532 
 
 56i2 
 
 5692 
 
 5772 
 
 53 
 
 6 
 
 4989 
 
 5073 
 
 5i58 
 
 5243 
 
 5328 
 
 54i3 
 
 53 
 
 
 7 
 
 5852 
 
 5932 
 
 6012 
 
 6092 
 
 6172 
 
 6252 
 
 52 
 
 7 
 
 5497 
 
 5582 
 
 5667 
 
 5752 
 
 5837 
 
 5922 
 
 52 
 
 
 8 
 
 6332 
 
 6412 
 
 6492 
 
 6572 
 
 6653 
 
 6733 
 
 5> 
 
 8 
 
 6007 
 
 6091 
 
 6176 
 
 6261 
 
 6346 
 
 643i 
 
 5i 
 
 
 9 
 
 68i3 
 
 6893 
 
 6973 
 
 7g53 
 
 7133 
 
 7214 
 
 5o 
 
 9 
 
 65i6 
 
 6601 
 
 6686 
 
 6771 
 
 6856 
 
 6941 
 
 5o 
 
 
 10 
 
 10.547294 
 
 7374 
 
 7454 
 
 7535 
 
 7615 
 
 7695 
 
 49 
 
 10 
 
 10. 577026 
 
 71 12 
 
 7197 
 
 7282 
 
 7367 
 
 7452 
 
 49 
 
 
 II 
 
 7775 
 
 7856 
 
 7936 
 
 8016 
 
 8097 
 
 8177 
 
 48 
 
 II 
 
 7537 
 
 7622 
 
 7708 
 
 7793 
 
 7878 
 
 7963 
 
 48 
 
 
 12 
 
 8257 
 
 8338 
 
 84i8 
 
 8498 
 
 8579 
 
 8659 
 
 47 
 
 12 
 
 804 8 
 
 8 1 34 
 
 8219 
 
 83o4 
 
 8390 
 
 8475 
 
 47 
 
 
 i3 
 
 8740 
 
 8820 
 
 8901 
 
 8981 
 
 9062 
 
 9142 
 
 46 
 
 i3 
 
 856o 
 
 8646 
 
 8731 
 
 8816 
 
 8902 
 
 8987 
 
 46 
 
 
 i4 
 
 9223 
 
 93o3 
 
 9384 
 
 9464 
 
 9545 
 
 9625 
 
 45 
 
 i4 
 
 9073 
 
 9i58 
 
 9243 
 
 9329 
 
 94i4 
 
 gSoo 
 
 45 
 
 
 i5 
 
 9706 
 
 9787 
 
 9867 
 
 9948 
 
 ..28 
 
 . 109 
 
 44 
 
 i5 
 
 9585 
 
 9671 
 
 9756 
 
 9842 
 
 9928 
 
 ..i3 
 
 44 
 
 
 i6 
 
 10.550190 
 
 0270 
 
 o35i 
 
 0432 
 
 o5i3 
 
 0593 
 
 43 
 
 16 
 
 10.580099 
 
 0184 
 
 0270 
 
 o356 
 
 044 1 
 
 0527 
 
 43 
 
 
 17 
 
 0674 
 
 0755 
 
 o836 
 
 0916 
 
 0997 
 
 1078 
 
 42 
 
 17 
 
 06 1 3 
 
 0698 
 
 0784 
 
 0870 
 
 0956 
 
 io4i 
 
 42 
 
 
 i8 
 
 1 159 
 
 1240 
 
 l320 
 
 i4or 
 
 1482 
 
 i563 
 
 4i 
 
 18 
 
 1 127 
 
 I2l3 
 
 1299 
 
 1 384 
 
 1470 
 
 i556 
 
 4i 
 
 
 19 
 
 1644 
 
 1725 
 
 1806 
 
 1887 
 
 1968 
 
 2049 
 
 40 
 
 '9 
 
 1642 
 
 1728 
 
 i8i4 
 
 1900 
 
 1986 
 
 2072 
 
 4o 
 
 
 20 
 
 io.552i3o 
 
 221 1 
 
 2292 
 
 2373 
 
 2454 
 
 2535 
 
 39 
 
 20 
 
 I0.582I58 
 
 2243 
 
 2329 
 
 24i5 
 
 25oi 
 
 2587 
 
 39 
 
 
 21 
 
 2616 
 
 2697 
 
 2778 
 
 2859 
 
 2940 
 
 3o2I 
 
 38 
 
 21 
 
 2674 
 
 2760 
 
 2846 
 
 2932 
 
 3oi8 
 
 3io4 
 
 38 
 
 
 22 
 
 3l02 
 
 3i83 
 
 3265 
 
 3346 
 
 3427 
 
 35o8 
 
 37 
 
 22 
 
 3190 
 
 3276 
 
 3362 
 
 3449 
 
 3535 
 
 3621 
 
 37 
 
 
 23 
 
 3589 
 
 3670 
 
 3752 
 
 3833 
 
 3914 
 
 3995 
 
 36 
 
 23 
 
 3707 
 
 3793 
 
 388o 
 
 3966 
 
 4o52 
 
 4i38 
 
 36 
 
 
 24 
 
 4077 
 
 4i58 
 
 4239 
 
 4321 
 
 44o2 
 
 4483 
 
 35 
 
 24 
 
 4225 
 
 43ii 
 
 4397 
 
 4484 
 
 4570 
 
 4657 
 
 35 
 
 
 25 
 
 4565 
 
 4646 
 
 4728 
 
 4809 
 
 4890 
 
 4972 
 
 34 
 
 25 
 
 4743 
 
 4829 
 
 4916 
 
 5o02 
 
 5089 
 
 5175 
 
 34 
 
 
 26 
 
 5o53 
 
 5i35 
 
 52i6 
 
 5298 
 
 5379 
 
 546t 
 
 33 
 
 26 
 
 5262 
 
 5348 
 
 5435 
 
 5521 
 
 56o8 
 
 5694 
 
 33 
 
 
 27 
 
 5542 
 
 5624 
 
 5705 
 
 5787 
 
 5868 
 
 5950 
 
 32 
 
 27 
 
 5781 
 
 5868 
 
 5954 
 
 6o4i 
 
 6127 
 
 6214 
 
 32 
 
 
 28 
 
 6o32 
 
 6ri3 
 
 6195 
 
 6276 
 
 6358 
 
 644o 
 
 3i 
 
 28 
 
 63oi 
 
 6387 
 
 6474 
 
 656i 
 
 6648 
 
 6734 
 
 3i 
 
 
 29 
 
 6521 
 
 66o3 
 
 6685 
 
 6766 
 
 6848 
 
 6930 
 
 3o 
 
 29 
 
 6821 
 
 6908 
 
 6995 
 
 7081 
 
 7168 
 
 7255 
 
 3o 
 
 
 3o 
 
 10.557012 
 
 7093 
 
 7175 
 
 7257 
 
 7339 
 
 7421 
 
 29 
 
 3o 
 
 10.587342 
 
 7429 
 
 7516 
 
 7603 
 
 7690 
 
 7776 
 
 29 
 
 
 3i 
 
 75o3 
 
 7584 
 
 7666 
 
 7748 
 
 783o 
 
 7912 
 
 28 
 
 3i 
 
 7863 
 
 7950 
 
 8037 
 
 8124 
 
 8211 
 
 8298 
 
 28 
 
 
 32 
 
 7994 
 
 8076 
 
 8r58 
 
 8240 
 
 8322 
 
 84o4 
 
 27 
 
 32 
 
 8385 
 
 8472 
 
 8559 
 
 8647 
 
 8734 
 
 8821 
 
 27 
 
 
 33 
 
 8486 
 
 8568 
 
 865o 
 
 8732 
 
 88i4 
 
 8896 
 
 26 
 
 33 
 
 8908 
 
 8995 
 
 9082 
 
 9169 
 
 9257 
 
 9344 
 
 26 
 
 
 34 
 
 8978 
 
 9060 
 
 9142 
 
 9224 
 
 9306 
 
 9388 
 
 25 
 
 34 
 
 9431 
 
 9518 
 
 9605 
 
 9693 
 
 9780 
 
 9867 
 
 25 
 
 
 35 
 
 9471 
 
 9553 
 
 9635 
 
 9717 
 
 9799 
 
 9881 
 
 24 
 
 35 
 
 9955 
 
 ..42 
 
 . 129 
 
 .217 
 
 .3o4 
 
 . 391 
 
 24 
 
 
 36 
 
 9964 
 
 ..46 
 
 .128 
 
 .210 
 
 .293 
 
 .375 
 
 23 
 
 36 
 
 10.590479 
 
 o566 
 
 o654 
 
 0741 
 
 0829 
 
 0916 
 
 23 
 
 
 37 
 
 10.560457 
 
 o54o 
 
 0622 
 
 0704 
 
 0787 
 
 0869 
 
 22 
 
 37 
 
 ioo4 
 
 1091 
 
 1179 
 
 1266 
 
 t354 
 
 i44i 
 
 22 
 
 
 38 
 
 0952 
 
 io34 
 
 1116 
 
 1199 
 
 1281 
 
 1 364 
 
 21 
 
 38 
 
 i529 
 
 1616 
 
 1704 
 
 1792 
 
 1879 
 
 [967 
 
 21 
 
 
 39 
 
 i446 
 
 i529 
 
 161 1 
 
 1694 
 
 1776 
 
 (859 
 
 20 
 
 39 
 
 2o55 
 
 2142 
 
 223o 
 
 23[8 
 
 2406 
 
 2493 
 
 20 
 
 
 4o 
 
 io.56ig4i 
 
 2024 
 
 2106 
 
 2189 
 
 2272 
 
 2354 
 
 •9 
 
 4o 
 
 10.592581 
 
 2669 
 
 2757 
 
 2845 
 
 2932 
 
 3020 
 
 '9 
 
 
 4i 
 
 2437 
 
 2520 
 
 2602 
 
 2685 
 
 2768 
 
 285o 
 
 18 
 
 4i 
 
 3io8 
 
 3196 
 
 3284 
 
 3372 
 
 3460 
 
 3548 
 
 18 
 
 
 42 
 
 2933 
 
 3oi6 
 
 3099 
 
 3i8i 
 
 3264 
 
 334? 
 
 '7 
 
 42 
 
 3636 
 
 3724 
 
 38 1 2 
 
 3900 
 
 3988 
 
 4076 
 
 17 
 
 
 43 
 
 343o 
 
 35i2 
 
 3595 
 
 3678 
 
 3761 
 
 3844 
 
 16 
 
 43 
 
 4i64 
 
 4252 
 
 4340 
 
 4428 
 
 45i6 
 
 46o4 
 
 16 
 
 
 44 
 
 3927 
 
 4oio 
 
 4093 
 
 4175 
 
 4258 
 
 4341 
 
 i5 
 
 44 
 
 4692 
 
 4781 
 
 4869 
 
 4957 
 
 5o45 
 
 5i33 
 
 i5 
 
 
 45 
 
 4424 
 
 4507 
 
 4590 
 
 4673 
 
 4756 
 
 4839 
 
 i4 
 
 45 
 
 5222 
 
 53io 
 
 5398 
 
 5486 
 
 5575 
 
 5663 
 
 i4 
 
 
 46 
 
 4922 
 
 5oo5 
 
 5o88 
 
 5172 
 
 5255 
 
 5338 
 
 i3 
 
 46 
 
 5751 
 
 584o 
 
 5928 
 
 601 7 
 
 6io5 
 
 6193 
 
 1 3 
 
 
 47 
 
 5421 
 
 55o4 
 
 5587 
 
 5670 
 
 5754 
 
 5837 
 
 12 
 
 47 
 
 6282 
 
 6370 
 
 6459 
 
 6547 
 
 6636 
 
 6724 
 
 12 
 
 
 48 
 
 5920 
 
 6oo3 
 
 6086 
 
 6170 
 
 6253 
 
 6336 
 
 1 1 
 
 48 
 
 68i3 
 
 6901 
 
 6990 
 
 7078 
 
 7167 
 
 7256 
 
 1 1 
 
 
 49 
 
 6420 
 
 65o3 
 
 6586 
 
 6669 
 
 6753 
 
 5836 
 
 10 
 
 49 
 
 7344 
 
 7433 
 
 7522 
 
 7610 
 
 7699 
 
 7788 
 
 10 
 
 
 5o 
 
 10. 566920 
 
 7003 
 
 7086 
 
 7170 
 
 7253 
 
 7337I 9 
 
 5o 
 
 10.597876 
 
 7965 
 
 8o54 
 
 8143 
 
 823i 
 
 8320 
 
 9 
 
 
 5i 
 
 7420 
 
 75o4 
 
 7587 
 
 7671 
 
 7754 
 
 7838: 8 
 
 5i 
 
 8409 
 
 8498 
 
 8587 
 
 8675 
 
 8764 
 
 8853 
 
 8 
 
 
 52 
 
 7921 
 
 8oo5 
 
 8088 
 
 8172 
 
 8255 
 
 S339 7 
 
 52 
 
 8942 
 
 9o3i 
 
 9120 
 
 9209 
 
 9298 
 
 9387 
 
 7 
 
 
 53 
 
 8423 
 
 85o6 
 
 8590 
 
 8674 
 
 8757 
 
 384 1 
 
 6 
 
 53 
 
 9476 
 
 9565 
 
 9654 
 
 9743 
 
 9832 
 
 9921 
 
 6 
 
 
 54 
 
 8925 
 
 9008 
 
 9092 
 
 9176 
 
 9260 
 
 9343 
 
 5 
 
 54 
 
 10.600010 
 
 0100 
 
 0189 
 
 0278 
 
 0367 
 
 o456 
 
 5 
 
 
 55 
 
 9427 
 
 95ii 
 
 9595 
 
 9679 
 
 9763 
 
 9846 
 
 4 
 
 55 
 
 o545 
 
 o635 
 
 0724 
 
 o8i3 
 
 0902 
 
 0992 
 
 4 
 
 
 56 
 
 9930 
 
 ..i4 
 
 ..98 
 
 .182 
 
 .266 
 
 .35o 
 
 3 
 
 56 
 
 1 08 1 
 
 1 170 
 
 1260 
 
 1 349 
 
 i438 
 
 i528 
 
 3 
 
 
 57 
 
 10 570434 
 
 o5i8 
 
 0602 
 
 0686 
 
 0770 
 
 o854 
 
 2 
 
 57 
 
 1617 
 
 1706 
 
 1796 
 
 i885 
 
 1975 
 
 2064 
 
 2 
 
 
 58 
 
 0938 
 
 1022 
 
 1106 
 
 1 190 
 
 1274 
 
 i358 
 
 1 
 
 58 
 
 2i54 
 
 2243 
 
 2333 
 
 2422 
 
 25l2 2601 
 
 I 
 
 
 59 
 
 1442 
 
 i527 
 
 161 1 
 
 1695 
 
 1779 
 
 i863 
 
 
 
 59 
 
 2691 
 
 2781 
 
 2870 
 
 2960 
 
 3o5o3i39 
 
 
 
 c 
 1Z 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 ^ 
 
 
 60" 
 
 50" 
 
 40" 
 
 30'' 
 
 20" 10" 
 
 Co-tans^ent of 15 Degrees. 
 
 Co-tangent of 14 Degrees. 
 
 PPartl^" 2" 3" 4" 5" 6' 7" 8" 9' 
 j-.i-art^g jg 25 33 41 49 57 65 74 
 
 pp„^ (1" 2" r 4" 5" 6" 7" 8" 9" 
 P.rartjg 17 26 35 43 52 61 C9 78 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
100 
 
 LOGAKITHMIC SiNES. 
 
 a 
 
 o 
 I 
 
 2 
 
 3 
 
 4 
 5 
 6 
 
 7 
 8 
 
 9 
 
 lO 
 
 1 1 
 
 12 
 
 i3 
 i4 
 i5 
 i6 
 
 n 
 
 i8 
 
 19 
 20 
 
 21 
 
 22 
 
 23 
 
 24 
 
 25 
 
 26 
 
 27 
 28 
 39 
 
 3o 
 3i 
 
 32 
 
 33 
 
 34 
 35 
 36 
 
 37 
 38 
 39 
 
 4o 
 4i 
 42 
 43 
 44 
 45 
 46 
 
 47 
 48 
 
 49 
 5o 
 
 5i 
 
 52 
 
 53 
 54 
 55 
 56 
 
 57 
 58 
 59 
 
 Sine of 76 Degrees. 
 
 10' 
 
 20' 
 
 .986904 6909 6915 
 6936:6941 6946 
 
 6967 6972 
 6998 7004 
 7o3o 7035 
 7061J7066 
 7092 7098 
 712417129 
 7i55 7160 
 718617191 
 
 .987217 
 7248 
 7279 
 7310 
 
 7341 
 7372 
 74o3 
 7434 
 7465 
 7496 
 .987526 
 7557 
 7588 
 7618 
 7649 
 
 7222 
 7253 
 7284 
 73t5 
 7346 
 7377 
 7408 
 7439 
 7470 
 75oi 
 7531 
 7562 
 7593 
 7623 
 7654 
 
 7679 7684 
 7710 77i5 
 77407745 
 
 7771 7776 
 
 78017806 
 
 .987832 7837 
 
 7867 
 7897 
 
 7862 
 
 7892 
 
 7922:7927 
 
 79537958 
 
 79837988 
 
 8oi38oi8 
 
 8o43|8o48 
 
 80738078 
 
 8io38io8 
 
 .9881338138 
 8i63 
 8193 
 8223 
 8252 
 8282 
 83i2 
 8342 
 8371 
 84oi 
 
 .988430 
 
 8168 
 8198 
 8227 
 8257 
 8287 
 83i7 
 8346 
 8376 
 84o6 
 8435 
 
 846o8465 
 848918494 
 85i9 
 8548 
 
 8578 
 8607 
 8636 
 8666 
 8695 
 
 8524 
 8553 
 8583 
 8612 
 864i 
 8670 
 8700 
 
 60' 
 
 6978 
 7009 
 7040 
 7072 
 7io3 
 7i34 
 7i65 
 7196 
 7228 
 7259 
 7290 
 7321 
 7352 
 7383 
 74i3 
 7444 
 7475 
 7506 
 7537 
 7567 
 7598 
 7628 
 7659 
 7690 
 7720 
 7750 
 7781 
 7811 
 7842 
 7872 
 7902 
 7932 
 7963 
 
 7993 
 8023 
 8o53 
 8o83 
 8ii3 
 8i43 
 8173 
 8203 
 
 8232 
 
 8262 
 
 8292 
 
 8322 
 
 835i 
 
 838i 
 84ii 
 844 o 
 8470 
 
 8499 
 8529 
 8558 
 8587 
 8617 
 8646 
 8675 
 8704 
 
 30" 40' 
 
 50' 
 
 6920 
 6951 
 6983 
 7014 
 7045 
 7077 
 7108 
 7139 
 7170 
 7202 
 7233 
 7264 
 7295 
 7326 
 7357 
 7388 
 7419 
 7449 
 7480 
 75i I 
 7542 
 7572 
 7603 
 7634 
 7664 
 7695 
 7725 
 7756 
 7786 
 7816 
 
 7847 
 7877 
 7907 
 7937 
 7968 
 7998 
 8028 
 8o58 
 8088 
 8n8 
 8i48 
 8178 
 8208 
 8237 
 8267 
 8297 
 8327 
 8356 
 8386 
 84i6 
 8445 
 
 6925 
 6957 
 6988 
 7019 
 7o5i 
 7082 
 71 13 
 7144 
 7176 
 7207 
 7238 
 7269 
 7300 
 7331 
 7362 
 7393 
 7424 
 7454 
 7485 
 7516 
 7547 
 
 7577 
 7608 
 
 7639 
 
 7669 
 
 7700 
 
 7730 
 
 7761 
 
 7791 
 
 7821 
 
 7852 
 
 7882 
 
 7912 
 
 7942 
 
 7973 
 
 8oo3 
 
 8o33 
 
 8o63 
 
 8093 
 
 8i23 
 
 8i53 
 
 8i83 
 
 82i3 
 
 8242 
 
 8272 
 
 83o2 
 
 8332 
 
 836i 
 
 8391 
 
 8420 
 
 845o 
 
 6930 
 6962 
 6993 
 7025 
 7o56 
 7087 
 7118 
 7i5o 
 7181 
 7212 
 7243 
 7274 
 73o5 
 7336 
 7367 
 7398 
 7429 
 7460 
 7490 
 7521 
 7552 
 7583 
 7613 
 7644 
 7674 
 7705 
 7735 
 7766 
 7796 
 7826 
 7857 
 7887 
 7917 
 
 7947 
 7978 
 8008 
 8o38 23 
 8068 22 
 809821 
 8128 20 
 
 59 
 
 58 
 
 57 
 56 
 
 55 
 54 
 53 
 
 52 
 
 5i 
 5o 
 
 49 
 
 48 
 
 47 
 46 
 45 
 44 
 43 
 42 
 4i 
 4o 
 
 39 
 
 38 
 
 37 
 36 
 35 
 
 34 
 33 
 
 32 
 
 3i 
 3o 
 29 
 
 28 
 27 
 26 
 
 25 
 
 24 
 
 84758480 
 85o485o9 
 85348538 
 85638568 
 8592 8597 
 8622 8626 
 865i 8656 
 
 8680 
 8709 
 
 50" I 40' 
 
 30' 
 
 8685 
 8714 
 
 8i58 
 
 8188 
 
 8218 
 
 8247 
 
 8277 
 
 8 307 
 
 8337 
 
 8366 
 
 8396 
 
 842 5 
 
 8455 
 
 8484 
 
 85i4 
 
 8543 
 
 8573 
 
 8602 
 
 863i 
 
 8661 
 
 8690 
 
 8719 
 
 20" 
 
 19 
 
 18 
 
 17 
 16 
 
 i5 
 i4 
 i3 
 12 
 1 1 
 10 
 
 9 
 
 8 
 
 7 
 6 
 
 5 
 4 
 3 
 
 o 
 
 1 
 o 
 
 10" 
 
 Co-sine of 13 Degrees. 
 
 o 
 1 
 2 
 3 
 
 4 
 5 
 6 
 
 7 
 8 
 
 9 
 10 
 
 1 1 
 12 
 i3 
 i4 
 i5 
 16 
 
 17 
 
 18 
 
 19 
 20 
 
 21 
 
 22 
 
 23 
 
 24 
 25 
 
 26 
 
 27 
 28 
 29 
 
 3o 
 3i 
 
 32 
 
 33 
 34 
 35 
 36 
 
 37 
 38 
 
 39 
 40 
 
 4i 
 42 
 43 
 44 
 45 
 46 
 
 47 
 48 
 
 49 
 5o 
 
 5i 
 
 52 
 
 53 
 54 
 55 
 56 
 
 57 
 58 
 
 59 
 
 Sine of 77 Degrees. 
 
 0" 
 
 .988724 
 8753 
 8782 
 8811 
 884o 
 8869 
 8898 
 8927 
 8956 
 8985 
 
 .989014 
 9042 
 9071 
 9100 
 9128 
 9157 
 9186 
 9214 
 9243 
 9271 
 
 .989300 
 9328 
 9356 
 9385 
 94i3 
 
 10" 
 
 8729 
 8758 
 8787 
 8816 
 8845 
 8874 
 8903 
 8932 
 8961 
 8990 
 9018 
 
 9047 
 9076 
 9105 
 9133 
 9162 
 9190 
 9219 
 
 9247 
 9276 
 
 93o4 
 9333 
 9361 
 9389 
 9417 
 
 20" 30" I 40" 
 
 9441 9446 
 
 9469 
 
 9497 
 9525 
 9553 
 ,989582 
 9610 
 9637 
 9665 
 9693 
 9721 
 9749 
 
 9777 
 9804 
 9832 
 .989860 
 9887 
 9915 
 9942 
 9970 
 
 9997 
 
 .990025 
 
 oo52 
 
 0079 
 
 0107 
 
 990134 
 
 0I6I 
 
 0188 
 
 02l5 
 
 0243 
 0270 
 0297 
 o324 
 o35i 
 0378 
 
 8734 
 8763 
 8792 
 8821 
 885o 
 8879 
 8908 
 8937 
 8966 
 8994 
 9023 
 9o52 
 9081 
 9109 
 9i38 
 9167 
 9195 
 9224 
 9252 
 9281 
 9309 
 
 9337 
 9366 
 
 9394 
 9422 
 945o 
 
 8739 
 8768 
 8797 
 
 8743 
 8772 
 8802 
 
 8826 883i 
 
 9474 
 
 9502 
 
 9530 
 
 9558 
 
 9586 
 
 9614 
 
 9642 
 
 9670 
 
 9698 
 
 9726 
 
 9753^ 
 
 9781 9786 
 
 9809 9814 
 
 8855 
 8884 
 8913 
 8942 
 8970 
 8999 
 9028 
 9057 
 9085 
 9114 
 9143 
 9171 
 9200 
 9228 
 9257 
 9285 
 93i4 
 9342 
 9370 
 9399 
 9427 
 9455 
 
 9479 9483 
 
 9507 
 9535 
 9563 
 9591 
 9619 
 9647 
 9675 
 9703 
 9730 
 9758 
 
 60" 
 
 9837 
 9864 
 9892 
 9919 
 
 9947 
 9974 
 2 
 0029 
 
 oo57 
 0084 
 01 1 1 
 oi38 
 0166 
 0193 
 0220 
 0247 
 0274 
 o3oi 
 o328 
 o355 
 o382 
 
 50" 
 
 9841 
 9869 
 9896 
 9924 
 9952 
 
 9979 
 ...6 
 
 oo34 
 0061 
 0088 
 0116 
 0x43 
 0170 
 0197 
 
 0225 
 0252 
 
 50" 
 
 9311 
 
 9539 
 
 9568 
 
 9596 
 
 9623 
 
 9651 
 
 9679 
 
 9707 
 
 9735 
 
 9763 
 
 9790 
 
 9818 
 
 9846 
 
 9873 
 
 9901 
 
 9929 
 
 9956 
 
 9984 
 
 . . II 
 
 oo38 
 
 0066 
 
 0093 
 
 0120 
 
 or48 
 
 0175 
 
 0202 
 
 0229 
 
 0256 
 
 0279 0283 
 o3o6 o3io 
 o333 0337 
 o36olo364 
 o386Jo39i 
 
 8860 
 8889 
 8918 
 8946 
 8975 
 9004 
 9033 
 9062 
 9090 
 9T19 
 9148 
 9176 
 9205 
 9233 
 9262 
 9290 
 9318 
 
 9347 
 
 9375 
 
 94o3 
 
 9432 
 
 9460 
 
 9488 
 
 95i6 
 
 9544 
 
 9572 
 
 9600 
 
 9628 
 
 9656 
 
 9684 
 
 9712 
 
 9740 
 
 9767 
 
 9795 
 
 9823 
 
 9850 
 
 9878 
 
 9906 
 
 9933 
 
 9961 
 
 9988 
 
 ..16 
 
 oo43 
 
 0070 
 
 0098 
 
 0125 
 
 01 52 
 0179 
 0206 
 0234 
 0261 
 0288 
 o3i5 
 o342 
 0369 
 0395 
 
 40" 30" 20" 
 
 8748 
 
 8777 
 
 8806 
 
 8835 
 
 8864 
 
 8893 
 
 8922 
 
 8951 
 
 8980 
 
 9009 
 
 9o38 
 
 9066 
 
 9095 
 
 9124 
 
 9152 
 
 9181 
 
 9209 
 
 9238 
 
 9266 
 
 9295 
 
 9323 
 
 9352 
 
 9380 
 
 9408 
 
 9436 
 
 9464 
 
 9493 
 
 9521 
 
 9549 
 
 9577 
 
 9605 
 
 9633 
 
 9661 
 
 9689 
 
 9716 
 
 9744 
 9772 
 9800 
 9827 
 9855 
 9883 
 9910 
 9938 
 9965 
 9993 
 20 
 oo48 
 0075 
 0102 
 0129 
 0157 
 oi84 
 021 1 
 0238 
 0265 
 0292 
 o3i9 
 o346 
 0373 
 o4oo 
 
 59 
 
 58 
 
 57 
 56 
 55 
 54 
 53 
 
 52 
 
 5i 
 5o 
 
 49 
 
 48 
 
 47 
 46 
 
 45 
 44 
 43 
 42 
 4i 
 4o 
 
 39 
 
 38 
 
 37 
 36 
 35 
 34 
 33 
 
 32 
 
 3t 
 3o 
 29 
 
 28 
 27 
 26 
 
 25 
 
 24 
 
 23 
 22 
 21 
 20 
 
 19 
 
 18 
 
 17 
 16 
 
 i5 
 
 i4 
 i3 
 12 
 1 1 
 10 
 
 10" 
 
 Co-sine of 12 Degrees. 
 
 
 " 3" 4" 5" 6" 7" 8" 9" 
 4 4 5 
 
 P, Part ] 1 1 2 2 3 3 
 
 „ ^ J 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 P.FartJQ 112 2 3 3 4 4 
 
Logarithmic Tangents. 
 
 101 
 
 
 
 Tangent of 76 Degrees. 
 
 
 d 
 
 ii 
 
 Tangent; 
 
 IB 
 
 Os^.^HTecs. ■ ■"■ 
 
 I 
 
 0" 
 
 10" 30" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 1 .10" f 
 
 20"* 
 
 30" 1 40" 
 
 50" 
 
 
 o 
 
 10.603229 
 
 3319 
 
 3408 
 
 3498 
 
 3588 
 
 3678 59I 
 
 
 
 io.636636i673l'[ 
 
 6 8a 8 
 
 b"^^ .Voao 
 
 f7^'.<^^.! 
 
 
 I 
 
 3767 
 
 3857 
 
 3947 
 
 4o37 
 
 4127 
 
 4217 
 
 58 
 
 I 
 
 7213 
 
 7309 
 
 74ly5' 
 
 ySoi 
 
 76'97 
 
 /O94 
 
 5t^ 
 
 
 2 
 
 43o6 
 
 4396 
 
 4486 
 
 4576 
 
 4666 
 
 4756 
 
 57 
 
 2 
 
 7790 
 
 7886 
 
 7983 
 
 8079 
 
 8175 
 
 8272 
 
 57 
 
 
 3 
 
 4846 
 
 4936 
 
 5026 
 
 5ii6 
 
 5206 
 
 5296 
 
 56 
 
 3 
 
 8368 
 
 8465 
 
 856i 
 
 8657 
 
 8754 
 
 885o 
 
 56 
 
 
 4 
 
 5386 
 
 5477 
 
 5567 
 
 5657 
 
 5747 
 
 5837 
 
 55 
 
 4 
 
 8947 
 
 9043 
 
 9140 
 
 9237 
 
 9333 
 
 943o 
 
 55 
 
 
 5 
 
 5927 
 
 6017 
 
 6108 
 
 S198 
 
 6288 
 
 6378 
 
 54 
 
 5 
 
 9526 
 
 9623 
 
 9720 
 
 9816 
 
 9913 
 
 . . 10 
 
 54 
 
 
 6 
 
 6469 
 
 6559 
 
 6649 
 
 6740 
 
 683o 
 
 6920 
 
 53 
 
 6 
 
 10.640107 
 
 02o3 
 
 o3oo 
 
 0397 
 
 0494 
 
 0591 
 
 53 
 
 
 7 
 
 701 1 
 
 7101 
 
 7192 
 
 7282 
 
 7372 
 
 7463 
 
 52 
 
 7 
 
 0687 
 
 0784 
 
 0881 
 
 0978 
 
 1075 
 
 1 172 
 
 52 
 
 
 8 
 
 7553 
 
 7644 
 
 7734 
 
 7825 
 
 7915 
 
 8006 
 
 5i 
 
 8 
 
 1269 
 
 i366 
 
 i463 
 
 i56o 
 
 1657 
 
 1754 
 
 5i 
 
 
 9 
 
 8097 
 
 8187 
 
 8278 
 
 8368 
 
 8459 
 
 855o 
 
 5o 
 
 9 
 
 i85i 
 
 1948 
 
 2o46 
 
 2143 
 
 2240 
 
 2337 
 
 5o 
 
 
 10 
 
 10.608640 
 
 8731 
 
 8822 
 
 S913 
 
 9003 
 
 9094 
 
 49 
 
 10 
 
 10.642434 
 
 253i 
 
 2629 
 
 2726 
 
 2823 
 
 2921 
 
 49 
 
 
 1 1 
 
 9185 
 
 9276 
 
 9367 
 
 9457 
 
 9548 
 
 9639 
 
 48 
 
 1 1 
 
 3oi8 
 
 3ii5 
 
 32i3 
 
 33 10 
 
 3407 
 
 35o5 
 
 48 
 
 
 12 
 
 9730 
 
 9821 
 
 9912 
 
 ...3 
 
 ..94 
 
 .185 
 
 47 
 
 12 
 
 36o2 
 
 3700 
 
 3797 
 
 3895 
 
 3992 
 
 4090 
 
 47 
 
 
 i3 
 
 10.610276 
 
 0367 
 
 o458 
 
 0549 
 
 o64o 
 
 0731 
 
 46 
 
 i3 
 
 4187 
 
 4285 
 
 4383 
 
 4480 
 
 4578 
 
 4676 
 
 46 
 
 
 i4 
 
 0822 
 
 0913 
 
 ioo4 
 
 1095 
 
 1186 
 
 1278 
 
 45 
 
 i4 
 
 4773 
 
 4871 
 
 4969 
 
 5o66 
 
 5i64 
 
 5262 
 
 45 
 
 
 i5 
 
 1369 
 
 i46o 
 
 i55i 
 
 1642 
 
 1734 
 
 1825 
 
 44 
 
 i5 
 
 536o 
 
 5458 
 
 5555 
 
 5653 
 
 5751 
 
 5849 
 
 44 
 
 
 i6 
 
 1916 
 
 2008 
 
 2099 
 
 2190 
 
 2282 
 
 2373 
 
 43 
 
 16 
 
 5947 
 
 6045 
 
 6143 
 
 6241 
 
 6339 
 
 6437 
 
 43 
 
 
 17 
 
 2464 
 
 2556 
 
 2647 
 
 2739 
 
 283o 
 
 2922 
 
 42 
 
 17 
 
 6535 
 
 6633 
 
 6731 
 
 6829 
 
 6927 
 
 7026 
 
 42 
 
 
 i8 
 
 3oi3 
 
 3io5 
 
 3196 
 
 3288 
 
 3379 
 
 3471 
 
 4i 
 
 18 
 
 7124 
 
 7222 
 
 7320 
 
 7418 
 
 7517 
 
 7615 
 
 4i 
 
 
 19 
 
 3562 
 
 3654 
 
 3746 
 
 3837 
 
 3929 
 
 4021 
 
 4o 
 
 19 
 
 7713 
 
 7811 
 
 7910 
 
 8008 
 
 8106 
 
 8205 
 
 4o 
 
 
 20 
 
 io.6i4i 12 
 
 4204 
 
 4296 
 
 4388 
 
 4479 
 
 4571 
 
 39 
 
 20 
 
 io.6483o3 
 
 8402 
 
 85oo 
 
 8599 
 
 8697 
 
 8796 
 
 39 
 
 
 21 
 
 4663 
 
 4755 
 
 4847 
 
 4938 
 
 5o3o 
 
 5 1 22 
 
 38 
 
 21 
 
 8894 
 
 8993 
 
 9091 
 
 9190 
 
 9288 
 
 9387 
 
 38 
 
 
 22 
 
 52i4 
 
 53o6 
 
 5398 
 
 5490 
 
 5582 
 
 5674 
 
 37 
 
 22 
 
 9486 
 
 9584 
 
 9683 
 
 9782 
 
 9880 
 
 9979 
 
 37 
 
 
 23 
 
 5766 
 
 5858 
 
 5950 
 
 6042 
 
 61 34 
 
 6226 
 
 36 
 
 23 
 
 10.650078 
 
 0177 
 
 0276 
 
 0374 
 
 0473 
 
 0572 
 
 36 
 
 
 24 
 
 63r8 
 
 64ii 
 
 65o3 
 
 6595 
 
 6687 
 
 6779 
 
 35 
 
 24 
 
 0671 
 
 0770 
 
 0869 
 
 0968 
 
 1067 
 
 1166 
 
 35 
 
 
 25 
 
 6871 
 
 6964 
 
 7o56 
 
 7148 
 
 7241 
 
 7333 
 
 34 
 
 25 
 
 1265 
 
 1 364 
 
 i463 
 
 i562 
 
 1 66 1 
 
 1760 
 
 34 
 
 
 26 
 
 7425 
 
 7518 
 
 7610 
 
 7702 
 
 7795 
 
 7887 
 
 33 
 
 26 
 
 1859 
 
 1958 
 
 2o58 
 
 2i57 
 
 2256 
 
 2355 
 
 33 
 
 
 27 
 
 7980 
 
 8072 
 
 8164 
 
 8257 
 
 8349 
 
 8442 
 
 32 
 
 27 
 
 2455 
 
 2554 
 
 2653 
 
 2752 
 
 2852 
 
 2951 
 
 32 
 
 
 28 
 
 8534 
 
 8627 
 
 8720 
 
 8812 
 
 8905 
 
 8997 
 
 3i 
 
 28 
 
 3o5i 
 
 3i5o 
 
 3249 
 
 3349 
 
 3448 
 
 3548 
 
 3i 
 
 
 29 
 
 9090 
 
 9183 
 
 9275 
 
 9368 
 
 9461 
 
 9554 
 
 3o 
 
 29 
 
 3647 
 
 3747 
 
 3846 
 
 3946 
 
 4o46 
 
 4i45 
 
 3o 
 
 
 3o 
 
 10.619646 
 
 9739 
 
 9832 
 
 9925 
 
 ..17 
 
 .110 
 
 29 
 
 3o 
 
 10.654245 
 
 4344 
 
 4444 
 
 4544 
 
 4643 
 
 4743 
 
 29 
 
 " 
 
 3i 
 
 10.620203 
 
 0296 
 
 0389 
 
 0482 
 
 0575 
 
 0668 
 
 28 
 
 3i 
 
 4843 
 
 4943 
 
 5o43 
 
 5i42 
 
 5242 
 
 5342 
 
 28 
 
 
 32 
 
 0761 
 
 o854 
 
 0947 
 
 io4o 
 
 ii33 
 
 1226 
 
 27 
 
 32 
 
 5442 
 
 5542 
 
 5642 
 
 5742 
 
 5842 
 
 5942 
 
 27 
 
 
 33 
 
 i3i9 
 
 r4i2 
 
 i5o5 
 
 1598 
 
 1691 
 
 1784 
 
 26 
 
 33 
 
 6042 
 
 6t42 
 
 6242 
 
 6342 
 
 6442 
 
 6542 
 
 26 
 
 
 34 
 
 1878 
 
 1971 
 
 2064 
 
 2157 
 
 225o 
 
 2344 
 
 2 5 
 
 34 
 
 6642 
 
 6742 
 
 6842 
 
 6943 
 
 7043 
 
 7143 
 
 25 
 
 
 35 
 
 2437 
 
 253o 
 
 2624 
 
 2717 
 
 2S10 
 
 2904 
 
 24 
 
 35 
 
 7243 
 
 7344 
 
 7444 
 
 7544 
 
 7645 
 
 7745 
 
 24 
 
 
 36 
 
 2997 
 
 3090 
 
 3i84 
 
 3277 
 
 3371 
 
 3464 
 
 23 
 
 36 
 
 7845 
 
 7946 
 
 8o46 
 
 8147 
 
 8247 
 
 8348 
 
 23 
 
 
 37 
 
 3558 
 
 365i 
 
 3745 
 
 3838 
 
 3932 
 
 4025 
 
 22 
 
 37 
 
 8448 
 
 8549 
 
 8649 
 
 8750 
 
 885o 
 
 8951 
 
 22 
 
 
 38 
 
 4119 
 
 42i3 
 
 43o6 
 
 44oo 
 
 4494 
 
 4587 
 
 2 1 
 
 38 
 
 9052 
 
 9i52 
 
 9253 
 
 9354 
 
 9454 
 
 9555 
 
 21 
 
 
 39 
 
 4681 
 
 4775 
 
 4869 
 
 4962 
 
 5o56 
 
 5i5o 
 
 20 
 
 39 
 
 9656 
 
 9757 
 
 9857 
 
 9958 
 
 ..59 
 
 . 160 
 
 20 
 
 
 4o 
 
 10.625244 
 
 5338 
 
 543i 
 
 5525 
 
 5619 
 
 5713 
 
 19 
 
 4o 
 
 10.660261 
 
 o362 
 
 o463 
 
 o564 
 
 o665 
 
 0766 
 
 •9 
 
 
 4i 
 
 5807 
 
 5901 
 
 5995 
 
 6089 
 
 6i83 
 
 6277 
 
 18 
 
 4i 
 
 0867 
 
 0968 
 
 1069 
 
 1170 
 
 1271 
 
 1372 
 
 18 
 
 
 42 
 
 6371 
 
 6465 
 
 6559 
 
 6653 
 
 6747 
 
 684i 
 
 •7 
 
 42 
 
 1473 
 
 1574 
 
 1676 
 
 '777 
 
 1878 
 
 1979 
 
 ■7 
 
 
 43 
 
 6936 
 
 7o3o 
 
 7124 
 
 7218 
 
 7312 
 
 7407 
 
 16 
 
 43 
 
 2081 
 
 2182 
 
 2283 
 
 2385 
 
 2486 
 
 2587 
 
 16 
 
 
 44 
 
 75oi 
 
 7595 
 
 7689 
 
 7784 
 
 7878 
 
 7972 
 
 i5 
 
 44 
 
 2689 
 
 2790 
 
 2892 
 
 2993 
 
 3095 
 
 3196 
 
 i5 
 
 
 45 
 
 8067 
 
 8161 
 
 8256 
 
 835o 
 
 8444 
 
 8539 
 
 i4 
 
 45 
 
 3298 
 
 3399 
 
 35oi 
 
 36o2 
 
 3704 
 
 38o6 
 
 i4 
 
 
 46 
 
 8633 
 
 8728 
 
 8822 
 
 8917 
 
 901 1 
 
 9106 
 
 i3 
 
 46 
 
 3907 
 
 4009 
 
 4i 1 1 
 
 4212 
 
 43i4 
 
 44i6 
 
 i3 
 
 
 47 
 
 9201 
 
 9295 
 
 9390 
 
 9484 
 
 9579 
 
 9674 
 
 12 
 
 47 
 
 45i8 
 
 4620 
 
 4721 
 
 4823 
 
 4925 
 
 5o27 
 
 12 
 
 
 48 
 
 9768 
 
 9863 
 
 9958 
 
 :.53 
 
 . 147 
 
 .242 
 
 1 1 
 
 48 
 
 6129 
 
 523i 
 
 5333 
 
 5435 
 
 5537 
 
 5639 
 
 II 
 
 
 49 
 
 io.63o337 
 
 o432 
 
 o527 
 
 0622 
 
 0716 
 
 08 1 1 
 
 10 
 
 49 
 
 5741 
 
 5843 
 
 5945 
 
 6047 
 
 6149 
 
 6252 
 
 10 
 
 
 ^ 7 
 
 5o 
 
 10.630906 
 
 lOOI 
 
 T096 
 
 II9I 
 
 1286 
 
 i38i 
 
 9 
 
 5o 
 
 10.666354 
 
 6456 
 
 6558 
 
 6660 
 
 6763 
 
 6865 
 
 9 
 
 
 5i 
 
 1476 
 
 I57I 
 
 1666 
 
 I76I 
 
 i857 
 
 1952 
 
 8 
 
 5i 
 
 6967 
 
 7070 
 
 7172 
 
 7274 
 
 7377 
 
 7479 
 
 8 
 
 
 52 
 
 2047 
 
 2 I 42 
 
 2237 
 
 2332 
 
 2428 
 
 2523 
 
 7 
 
 52 
 
 7582 
 
 7684 
 
 7787 
 
 7889 
 
 7992 
 
 8094 
 
 7 
 
 
 53 
 
 2618 
 
 2713 
 
 2809 
 
 2904 
 
 2999 
 
 3095 
 
 6 
 
 53 
 
 8197 
 
 8299 
 
 84o2 
 
 85o5 
 
 8607 
 
 8710 
 
 6 
 
 
 54 
 
 3190 
 
 3285 
 
 338 1 
 
 3476 
 
 3572 
 
 3667 
 
 5 
 
 54 
 
 88i3 
 
 8916 
 
 9018 
 
 9121 
 
 9224 
 
 9327 
 
 5 
 
 
 55 
 
 3763 
 
 3858 
 
 3954 
 
 4o49 
 
 4i45 
 
 4240 
 
 4 
 
 55 
 
 g43o 
 
 9532 
 
 9635 
 
 9738 
 
 9841 
 
 9944 
 
 4 
 
 
 56 
 
 4336 
 
 4432 
 
 4527 
 
 4623 
 
 4718 
 
 48i4 
 
 3 
 
 56 
 
 10.670047 
 
 oi5o 
 
 0253 
 
 o356 
 
 0459 
 
 o562 
 
 3 
 
 
 57 
 
 4910 
 
 5oo6 
 
 5ioi 
 
 5197 
 
 5293 
 
 5389 
 
 2 
 
 57 
 
 0666 
 
 0769 
 
 0872 
 
 0975 
 
 1078 
 
 ii8j 
 
 2 
 
 
 58 
 
 5485 
 
 558o 
 
 5676 
 
 5772 
 
 5868 
 
 5964 
 
 I 
 
 58 
 
 1285 
 
 1 388 
 
 1491 
 
 1595 
 
 1698 
 
 1 80 1 
 
 I 
 
 
 59 
 
 6060 
 
 6i56 
 
 6252 
 
 6348 
 
 6444 
 
 654o 
 
 
 
 59 
 
 1906 
 
 2008 
 
 2112 
 
 22 1 5 
 
 23i8 
 
 2422 
 
 
 
 d 
 
 i 
 
 
 60" 50" 1 40" 
 
 30" 
 
 1 20" 
 
 10" 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 Co-tangent of 13 Degree 
 
 s. 
 
 Co-tangent of 12 Degrees. 
 
 
 P. 
 
 -•lys 
 
 ' 3" 
 
 28 
 
 4" ; 
 
 37 4 
 
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 6 5( 
 
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 } 65 
 
 8" 
 74 
 
 9" 
 83 
 
 P. 
 
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 J' 3" 
 30 
 
 4" 
 40 . 
 
 5" 6' 
 
 )0 6C 
 
 ' 7" 
 1 70 
 
 8" 
 80 
 
 
102 
 
 LoGAKiTiiMic Sines. 
 
 a 
 
 Sibe of '?0 Degrees. 
 
 
 s 
 
 Sine of 79 Degrees. 
 
 ^ r ■ : 1 1 
 
 - 
 
 0" 
 
 10" 
 
 ^91 
 
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 40" 
 
 50" 
 
 
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 10" 
 
 20" 
 
 1 30" 
 
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 l9;9Qc>4o4 
 
 Mojj 
 
 o4i3 
 
 o4i8 
 
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 0427 
 
 59 
 
 
 
 9.991947 
 
 1951 
 
 1955 
 
 1959 
 
 1963 
 
 1967 
 
 59 
 
 I 
 
 d43i 
 
 o43o 
 
 o44o 
 
 0445 
 
 0449 
 
 0454 
 
 58 
 
 I 
 
 1971 
 
 1975 
 
 1979 
 
 1983 
 
 1987 
 
 1992 
 
 58 
 
 2 
 
 o45S 
 
 0462 
 
 0467 
 
 0471 
 
 0476 
 
 o48o 
 
 57 
 
 2 
 
 1996 
 
 2000 
 
 2004 
 
 2008 
 
 2012 
 
 20l6 
 
 57 
 
 3 
 
 o485 
 
 0489 
 
 0494 
 
 0498 
 
 o5o3 
 
 o5o7 
 
 56 
 
 3 
 
 2020 
 
 2024 
 
 2028 
 
 2o32 
 
 2o36 
 
 2o4o 
 
 56 
 
 4 
 
 o5ii 
 
 o5i6 
 
 o520 
 
 o525 
 
 o529 
 
 o534 
 
 55 
 
 4 
 
 2o44 
 
 2049 
 
 2o53 
 
 2057 
 
 2061 
 
 2o65 
 
 55 
 
 5 
 
 o538 
 
 o543 
 
 o547 
 
 o552 
 
 o556 
 
 o56o 
 
 54 
 
 5 
 
 2069 
 
 2073 
 
 2077 
 
 2081 
 
 2o85 
 
 2089 
 
 54 
 
 6 
 
 o565 
 
 0569 
 
 0574 
 
 0578 
 
 o583 
 
 o587 
 
 53 
 
 6 
 
 2093 
 
 2097 
 
 2101 
 
 2io5 
 
 2109 
 
 21l3 
 
 53 
 
 7 
 
 0591 
 
 0596 
 
 0600 
 
 o6o5 
 
 0609 
 
 o6i4 
 
 52 
 
 7 
 
 2118 
 
 2122 
 
 2126 
 
 2l30 
 
 21 34 
 
 2i38 
 
 52 
 
 8 
 
 0618 
 
 0622 
 
 0627 
 
 o63i 
 
 o636 
 
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 2l42 
 
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 2i54 
 
 2i58 
 
 2162 
 
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 9 
 
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 o653 
 
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 0662 
 
 0667 
 
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 9 
 
 2166 
 
 2170 
 
 2174 
 
 2178 
 
 2182 
 
 2186 
 
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 9.990671 
 
 0675 
 
 0680 
 
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 0689 
 
 0693 
 
 49 
 
 10 
 
 9.992190 
 
 2194 
 
 2198 
 
 2202 
 
 2206 
 
 2210 
 
 49 
 
 1 1 
 
 0697 
 
 0702 
 
 0706 
 
 0711 
 
 0715 
 
 0719 
 
 48 
 
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 22l4 
 
 2218 
 
 2222 
 
 2226 
 
 223o 
 
 2234 
 
 48 
 
 12 
 
 0724 
 
 0728 
 
 0733 
 
 0737 
 
 0741 
 
 0746 
 
 47 
 
 12 
 
 2239 
 
 2243 
 
 2247 
 
 225l 
 
 2255 
 
 2259 
 
 47 
 
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 0750 
 
 0755 
 
 0759 
 
 0763 
 
 0768 
 
 0772 
 
 46 
 
 i3 
 
 2263 
 
 2267 
 
 2271 
 
 2275 
 
 2279 
 
 2283 
 
 46 
 
 i4 
 
 0777 
 
 0781 
 
 0785 
 
 0790 
 
 0794 
 
 0798 
 
 45 
 
 i4 
 
 2287 
 
 2291 
 
 2295 
 
 2299 
 
 23o3 
 
 23o7 
 
 45 
 
 i5 
 
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 0807 
 
 o8i2 
 
 0816 
 
 0820 
 
 0825 
 
 44 
 
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 23l I 
 
 23i5 
 
 23i9 
 
 2323 
 
 2327 
 
 233i 
 
 44 
 
 i6 
 
 0829 
 
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 0847 
 
 o85i 
 
 43 
 
 16 
 
 2335 
 
 2339 
 
 2343 
 
 2347 
 
 235i 
 
 2355 
 
 43 
 
 17 
 
 o855 
 
 0860 
 
 o864 
 
 0868 
 
 0873 
 
 0877 
 
 42 
 
 17 
 
 2359 
 
 2363 
 
 2366 
 
 2370 
 
 2374 
 
 2378 
 
 42 
 
 i8 
 
 0882 
 
 0886 
 
 0890 
 
 0895 
 
 0899 
 
 0903 
 
 4i 
 
 18 
 
 2382 
 
 2386 
 
 2390 
 
 2394 
 
 2398 
 
 24o2 
 
 4i 
 
 19 
 
 0908 
 
 0912 
 
 0916 
 
 0921 
 
 0925 
 
 0929 
 
 4o 
 
 19 
 
 24o6 
 
 2410 
 
 24i4 
 
 2418 
 
 2422 
 
 2426 
 
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 20 
 
 9.990934 
 
 0938 
 
 0942 
 
 0947 
 
 0951 
 
 0955 
 
 39 
 
 20 
 
 9.992430 
 
 2434 
 
 2438 
 
 2442 
 
 2446 
 
 245o 
 
 39 
 
 21 
 
 0960 
 
 0964 
 
 0969 
 
 0973 
 
 0977 
 
 0982 
 
 38 
 
 21 
 
 2454 
 
 2458 
 
 2462 
 
 2466 
 
 2470 
 
 2474 
 
 38 
 
 22 
 
 0986 
 
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 0999 
 
 ioo3 
 
 1008 
 
 37 
 
 22 
 
 2478 
 
 2482 
 
 2485 
 
 2489 
 
 2493 2497 
 
 37 
 
 23 
 
 1012 
 
 1016 
 
 1021 
 
 1025 
 
 1029 
 
 io33 
 
 36 
 
 23 
 
 25oi 
 
 25o5 
 
 2509 
 
 25i3 
 
 2517 2521 
 
 36 
 
 24 
 
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 1042 
 
 1046 
 
 io5i 
 
 io55 
 
 io59 
 
 35 
 
 24 
 
 2525 
 
 2529 
 
 2533 
 
 2537 
 
 254i 2545 
 
 35 
 
 25 
 
 1064 
 
 1068 
 
 ro72 
 
 1077 
 
 1 08 1 
 
 io85 
 
 34 
 
 25 
 
 2549 
 
 2553 
 
 2556 
 
 256o 
 
 2564 2568 
 
 34 
 
 26 
 
 1090 
 
 1094 
 
 1098 
 
 I io3 
 
 1107 
 
 1 1 1 1 
 
 33 
 
 26 
 
 2572 
 
 2576 
 
 258o 
 
 2584 
 
 2588 
 
 2592 
 
 33 
 
 27 
 
 11 15 
 
 1 120 
 
 1 124 
 
 1128 
 
 ii33 
 
 1137 
 
 32 
 
 27 
 
 2596 
 
 2600 
 
 2604 
 
 2607 
 
 261 1 
 
 26i5 
 
 32 
 
 28 
 
 1 14[ 
 
 ii46 
 
 I i5o 
 
 1(54 
 
 ii58 
 
 ii63 
 
 3i 
 
 28 
 
 2619 
 
 2623 
 
 2627 
 
 263i 
 
 2635 
 
 2639 
 
 3i 
 
 29 
 
 1 167 
 
 1 171 
 
 1 176 
 
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 1 1 84 
 
 1188 
 
 3o 
 
 29 
 
 2643 
 
 2647 
 
 265i 
 
 2654 
 
 2658 
 
 2662 
 
 3o 
 
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 9.991193 
 
 1197 
 
 1201 
 
 1206 
 
 1210 
 
 I2l4 
 
 29 
 
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 9.992666 
 
 2670 
 
 2674 
 
 2678 
 
 2682 
 
 2686 
 
 29 
 
 3i 
 
 T2l8 
 
 1223 
 
 1227 
 
 I23l 
 
 1235 
 
 1240 
 
 28 
 
 3i 
 
 2690 
 
 2693 
 
 2697 
 
 2701 
 
 2705 
 
 2709 
 
 28 
 
 32 
 
 1244 
 
 1248 
 
 1253 
 
 ,257 
 
 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 
 
 1299 
 
 i3o4 
 
 i3o8 
 
 l3l2 
 
 i3i6 
 
 25 
 
 34 
 
 2759 
 
 2763 
 
 2767 
 
 2771 
 
 2775 
 
 2779 
 
 25 
 
 35 
 
 l32I 
 
 i325 
 
 1329 
 
 i333 
 
 i338 
 
 i342 
 
 24 
 
 35 
 
 2783 
 
 2787 
 
 2790 
 
 2794 
 
 2798 
 
 2802 
 
 24 
 
 36 
 
 1 346 
 
 i35o 
 
 i355 
 
 1359 
 
 i363 
 
 1367 
 
 23 
 
 36 
 
 2806 
 
 2810 
 
 2814 
 
 2818 
 
 2821 
 
 2825 
 
 23 
 
 37 
 
 1372 
 
 1376 
 
 i38o 
 
 1 384 
 
 1389 
 
 1393 
 
 22 
 
 37 
 
 2829 
 
 2833 
 
 2837 
 
 2841 
 
 2845 
 
 2848 
 
 22 
 
 38 
 
 1397 
 
 i4oi 
 
 i4o6 
 
 i4io 
 
 i4i4 
 
 i4i8 
 
 21 
 
 38 
 
 2862 
 
 2856 
 
 2860 
 
 2864 
 
 2868 
 
 2871 
 
 21 
 
 39 
 
 l422 
 
 1427 
 
 i43i 
 
 i435 
 
 1439 
 
 1444 
 
 20 
 
 39 
 
 2875 
 
 2879 
 
 2883 
 
 2887 
 
 2891 
 
 2895 
 
 20 
 
 40 
 
 9.991448 
 
 i452 
 
 i456 
 
 i46o 
 
 i465 
 
 1469 
 
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 9.992898 
 
 2902 
 
 2906 
 
 2910 
 
 2914 
 
 2918 
 
 '9 
 
 4i 
 
 1473 
 
 1477 
 
 1482 
 
 i486 
 
 1490 
 
 1494 
 
 18 
 
 4i 
 
 2921 
 
 2925 
 
 2929 
 
 2933 
 
 2937 
 
 2941 
 
 18 
 
 42 
 
 1498 
 
 i5o3 
 
 i5o7 
 
 i5i I 
 
 i5i5 
 
 i5i9 
 
 17 
 
 42 
 
 2944 
 
 2948 
 
 2952 
 
 2956 
 
 2960 2963 
 
 17 
 
 43 
 
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 1 528 
 
 i532 
 
 i536 
 
 i54o 
 
 1 545 
 
 16 
 
 43 
 
 2967 
 
 2971 
 
 2975 
 
 2979 
 
 29832986 
 
 16 
 
 44 
 
 i549 
 
 i553 
 
 1557 
 
 i56i 
 
 i566 
 
 1570 
 
 i5 
 
 44 
 
 2990 
 
 2994 
 
 2998 
 
 3oo2 
 
 3oo5 3ooQ 
 
 i5 
 
 45 
 
 1574 
 
 1578 
 
 i582 
 
 i586 
 
 1591 
 
 1595 
 
 i4 
 
 45 
 
 3oi3 
 
 3017 
 
 302I 
 
 3o24 
 
 3028 
 
 3o32 
 
 i4 
 
 46 
 
 1599 
 
 i6o3 
 
 1607 
 
 1612 
 
 1616 
 
 1620 
 
 i3 
 
 46 
 
 3o36 
 
 3o4o 
 
 3o43 
 
 3o47 
 
 3o5i 
 
 3o55 
 
 i3 
 
 47 
 
 1624 
 
 1628 
 
 i632 
 
 i637 
 
 i64i 
 
 i645 
 
 12 
 
 47 
 
 3o59 
 
 3062 
 
 3o66 
 
 3070 
 
 3074 
 
 3078 
 
 12 
 
 48 
 
 1649 
 
 i653 
 
 1657 
 
 1662 
 
 1666 
 
 1670 
 
 11 
 
 48 
 
 3o8i 
 
 3o85 
 
 3089 
 
 3093 
 
 3097 
 
 3ioo 
 
 II 
 
 49 
 
 1674 
 
 1678 
 
 1682 
 
 1687 
 
 1691 
 
 1695 
 
 10 
 
 49 
 
 3io4 
 
 3io8 
 
 3lI2 
 
 3ii5 
 
 3ii9 
 
 3123 
 
 ID 
 
 5o 
 
 9.991699 
 
 1703 
 
 1707 
 
 1712 
 
 1716 
 
 1720 
 
 9 
 
 5o 
 
 9.993127 
 
 3i3i 
 
 3i34 
 
 3 1 38 
 
 3i42 
 
 3i46 
 
 9 
 
 5i 
 
 1724 
 
 1728 
 
 1732 
 
 1736 
 
 1 74 1 
 
 1745 
 
 8 
 
 5i 
 
 3i49 
 
 3i53 
 
 3i57 
 
 3i6i 
 
 3i65 
 
 3i68 
 
 8 
 
 52 
 
 1749 
 
 1753 
 
 1757 
 
 1761 
 
 [765 
 
 1770 
 
 7 
 
 52 
 
 3172 
 
 3176 
 
 3i8o 
 
 3i83 
 
 3187 
 
 3191 
 
 7 
 
 53 
 
 1774 
 
 [778 
 
 1782 
 
 1786 
 
 1790 
 
 1794 
 
 6 
 
 53 
 
 3195 
 
 3198 
 
 3202 
 
 3206 
 
 3210 
 
 32i3 
 
 6 
 
 54 
 
 1799 
 
 i8o3 
 
 1807 
 
 1811 
 
 i8i5 
 
 1819 
 
 5 
 
 54 
 
 3217 
 
 3221 
 
 3225 
 
 3228 
 
 3232 
 
 3236 
 
 5 
 
 55 
 
 1823 
 
 1827 
 
 i832 
 
 i836 
 
 i84o 
 
 1 844 
 
 4 
 
 55 
 
 324o 
 
 3243 
 
 3247 
 
 325i 
 
 3255 
 
 3258 
 
 4 
 
 56 
 
 1 848 
 
 i852 
 
 i856 
 
 i860 
 
 i865 
 
 1869 
 
 3 
 
 56 
 
 3262 
 
 3266 
 
 3270 
 
 3273 
 
 3277 
 
 3281 
 
 3 
 
 57 
 
 1873 
 
 1877 
 
 1881 
 
 i885 
 
 1889 
 
 1893 
 
 2 
 
 57 
 
 3284 
 
 3288 
 
 3292 
 
 3296 
 
 3299 
 
 33o3 
 
 2 
 
 58 
 
 1897 
 
 1901 
 
 1906 
 
 1910 
 
 1914 
 
 1918 
 
 I 
 
 58 
 
 3307 
 
 33ii 
 
 33i4 
 
 33i8 
 
 3322 
 
 3325 
 
 I 
 
 59 
 
 1922 
 
 1926 
 
 1930 
 
 1934 
 
 1938 
 
 1942 
 
 
 
 5g 
 
 3329 
 
 3333 
 
 3337 
 
 3340 
 
 3344 
 
 3348 
 
 
 
 GO" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 a 
 
 Co-sine of 11 Degrees, 
 
 Co-sine of 10 Degrees. 
 
 P.P 
 
 „, i 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 
 P Parti 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 ^•*^^'^0 112 3 2 3 3 4 
 
 
 <01 1 22 333 4 
 

 
 
 
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 r A M G E N T S. 
 
 
 
 
 1U3 
 
 1 
 
 1 
 
 1 .s 
 
 Tangent of 78 Degrees. 
 
 
 d 
 
 Tangent of 79 Degrees. 
 
 1 
 
 s 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 30" 
 
 30" 
 
 40" 
 
 50" 
 
 
 
 10.672525 
 
 2629 
 
 2733 
 
 2836 
 
 2940 
 
 3o43 
 
 59 
 
 
 
 10.71 1 348 
 
 1 460 
 
 1573 
 
 i685 
 
 1798 
 
 1910 
 
 59 
 
 1 
 
 3i47 
 
 325i 
 
 3354 
 
 3458 
 
 3562 
 
 3666 
 
 58 
 
 I 
 
 2023 
 
 2i35 
 
 2248 
 
 236i 
 
 2473 
 
 2 586 
 
 58 
 
 2 
 
 3769 
 
 3873 
 
 3977 
 
 4o8i 
 
 4i85 
 
 4289 
 
 57 
 
 2 
 
 2699 
 
 281 1 
 
 2924 
 
 3o37 
 
 3i5o 
 
 3263 
 
 57 
 
 3 
 
 4393 
 
 4497 
 
 4601 
 
 4705 
 
 4809 
 
 4913 
 
 56 
 
 3 
 
 3376 
 
 3488 
 
 36oi 
 
 3714 
 
 3827 
 
 3940 
 
 56 
 
 4 
 
 5oi7 
 
 5l2I 
 
 5225 
 
 5329 
 
 5433 
 
 5537 
 
 55 
 
 4 
 
 4o53 
 
 4167 
 
 4280 
 
 4393 
 
 45o6 
 
 4619 
 
 55 
 
 5 
 
 5642 
 
 5746 
 
 585o 
 
 5954 
 
 6059 
 
 6i63 
 
 54 
 
 5 
 
 4732 
 
 4846 
 
 4959 
 
 5072 
 
 5i85 
 
 5299 
 
 54 
 
 6 
 
 6267 
 
 6372 
 
 6476 
 
 658o 
 
 6685 
 
 6789 
 
 53 
 
 6 
 
 54i2 
 
 5526 
 
 5639 
 
 5752 
 
 5866 
 
 5979 
 
 53 
 
 7 
 
 6894 
 
 6998 
 
 7io3 
 
 7207 
 
 7312 
 
 7417 
 
 52 
 
 7 
 
 6093 
 
 6207 
 
 6320 
 
 6434 
 
 6547 
 
 6661 
 
 52 
 
 8 
 
 7521 
 
 7626 
 
 7731 
 
 7835 
 
 7940 
 
 8045 
 
 5i 
 
 8 
 
 6775 
 
 6889 
 
 7002 
 
 71 16 
 
 7230 
 
 7344 
 
 5i 
 
 9 
 
 8149 
 
 8254 
 
 S359 
 
 8464 
 
 8569 
 
 8674 
 
 5o 
 
 9 
 
 7458 
 
 7572 
 
 7686 
 
 7799 
 
 7913 
 
 8027 
 
 5o 
 
 lO 
 
 8778 
 
 8883 
 
 S988 
 
 9093 
 
 9198 
 
 93o3 
 
 49 
 
 10 
 
 8142 
 
 8256 
 
 8370 
 
 8484 
 
 8598 
 
 8712 
 
 49 
 
 1 1 
 
 9408 
 
 95i3 
 
 9618 
 
 9723 
 
 9829 
 
 9934 
 
 48 
 
 1 1 
 
 8826 
 
 8941 
 
 9055 
 
 9169 
 
 9283 
 
 9398 
 
 48 
 
 12 
 
 10.680039 
 
 oi44 
 
 0249 
 
 o355 
 
 o46o 
 
 o565 
 
 47 
 
 12 
 
 9512 
 
 9627 
 
 9741 
 
 9856 
 
 9970 
 
 ..85 
 
 47 
 
 1 3 
 
 0670 
 
 0776 
 
 0881 
 
 0987 
 
 1092 
 
 1197 
 
 46 
 
 i3 
 
 10.720199 
 
 o3i4 
 
 0428 
 
 o543 
 
 o658 
 
 0772 
 
 46 
 
 i4 
 
 i3o3 
 
 i4o8 
 
 i5i4 
 
 i6r9 
 
 1725 
 
 i83o 
 
 45 
 
 i4 
 
 0887 
 
 1002 
 
 1 1 16 
 
 I23l 
 
 1 346 
 
 i46j 
 
 45 
 
 i5 
 
 1936 
 
 2042 
 
 2147 
 
 2253 
 
 2359 
 
 2464 
 
 44 
 
 i5 
 
 J576 
 
 1 69 1 
 
 1806 
 
 1921 
 
 2o36 
 
 2l5i 
 
 44 
 
 i6 
 
 2570 
 
 2676 
 
 2782 
 
 2887 
 
 2993 
 
 3099 
 
 43 
 
 16 
 
 2266 
 
 238i 
 
 2496 
 
 261 1 
 
 2726 
 
 2841 
 
 43 
 
 17 
 
 32o5 
 
 33ii 
 
 3417 
 
 3523 
 
 3629 
 
 3735 
 
 42 
 
 17 
 
 2957 
 
 3072 
 
 3187 
 
 33o2 
 
 3418 
 
 3533 
 
 42 
 
 18 
 
 384i 
 
 3947 
 
 4o53 
 
 4i59 
 
 4265 
 
 4371 
 
 4i 
 
 18 
 
 3649 
 
 3764 
 
 3879 
 
 3995 
 
 4i 10 
 
 4226 
 
 4i 
 
 '9 
 
 4477 
 
 4584 
 
 4690 
 
 4796 
 
 4902 
 
 5009 
 
 40 
 
 '9 
 
 4342 
 
 4457 
 
 4573 
 
 4688 
 
 48o4 
 
 4920 
 
 4o 
 
 20 
 
 5i[5 
 
 5221 
 
 5328 
 
 5434 
 
 5540 
 
 5647 
 
 39 
 
 20 
 
 5o36 
 
 5i5i 
 
 5267 
 
 5383 
 
 5499 
 
 56i5 
 
 39 
 
 21 
 
 5753 
 
 586o 
 
 5966 
 
 6073 
 
 6179 
 
 6286 
 
 38 
 
 21 
 
 5731 
 
 5847 
 
 5963 
 
 6079 
 
 6195 
 
 63ii 
 
 38 
 
 22 
 
 6392 
 
 6499 
 
 6606 
 
 6712 
 
 6819 
 
 6926 
 
 37 
 
 22 
 
 6427 
 
 6543 
 
 6659 
 
 6775 
 
 6891 
 
 7008 
 
 37 
 
 23 
 
 7o32 
 
 7139 
 
 7246 
 
 7353 
 
 7460 
 
 7567 
 
 36 
 
 23 
 
 7124 
 
 7240 
 
 7356 
 
 7473 
 
 7589 
 
 7706 
 
 36 
 
 24 
 
 7673 
 
 7780 
 
 7887 
 
 7994 
 
 8101 
 
 8208 
 
 35 
 
 24 
 
 7822 
 
 7938 
 
 8o55 
 
 8171 
 
 8288 
 
 84o5 
 
 35 
 
 25 
 
 83[5 
 
 842 2 
 
 8529 
 
 8636 
 
 8744 
 
 885i 
 
 34 
 
 25 
 
 8521 
 
 8638 
 
 8754 
 
 8871 
 
 8988 
 
 9105 
 
 34 
 
 26 
 
 8958 
 
 9065 
 
 9172 
 
 9280 
 
 9387 
 
 9494 
 
 33 
 
 26 
 
 922] 
 
 9338 
 
 9455 
 
 9572 
 
 9689 
 
 9806 
 
 33 
 
 27 
 
 9601 
 
 9709 
 
 9816 
 
 9924 
 
 ..3i 
 
 .138 
 
 3^2 
 
 27 
 
 9923 
 
 ..4o 
 
 .157 
 
 .274 
 
 .391 
 
 .5o8 
 
 32 
 
 28 
 
 10.690246 
 
 o353 
 
 o46i 
 
 o568 
 
 0676 
 
 0784 
 
 3i 
 
 28 
 
 10.730625 
 
 0742 
 
 0860 
 
 0977 
 
 1094 
 
 121 1 
 
 3i 
 
 29 
 
 0891 
 
 0999 
 
 1 107 
 
 £2l4 
 
 I 322 
 
 i43o 
 
 3o 
 
 29 
 
 1329 
 
 i446 
 
 i563 
 
 1681 
 
 1798 
 
 1916 
 
 3o 
 
 3o 
 
 i537 
 
 1645 
 
 1753 
 
 1861 
 
 1969 
 
 2077 
 
 29 
 
 3o 
 
 2o33 
 
 2l5l 
 
 2268 
 
 2386 
 
 25o3 
 
 2621 
 
 29 
 
 3i 
 
 2184 
 
 2292 
 
 2400 
 
 25o8 
 
 2616 
 
 2724 
 
 28 
 
 3i 
 
 2739 
 
 2856 
 
 2974 
 
 3092 
 
 32IO 
 
 3327 
 
 28 
 
 32 
 
 2832 
 
 2941 
 
 3o49 
 
 3i57 
 
 3265 
 
 3373 
 
 27 
 
 32 
 
 3445 
 
 3563 
 
 368i 
 
 3799 
 
 3917 
 
 4o35 
 
 27 
 
 33 
 
 3481 
 
 3590 
 
 3698 
 
 38o6 
 
 3914 
 
 4023 
 
 26 
 
 33 
 
 4i53 
 
 4271 
 
 4389 
 
 4507 
 
 4625 
 
 4744 
 
 26 
 
 34 
 
 4i3i 
 
 4239 
 
 4348 
 
 4456 
 
 4565 
 
 4673 
 
 25 
 
 34 
 
 4862 
 
 4980 
 
 5098 
 
 5217 
 
 5335 
 
 5453 
 
 25 
 
 35 
 
 4782 
 
 4890 
 
 4999 
 
 5io7 
 
 5216 
 
 5325 
 
 24 
 
 35 
 
 5572 
 
 5690 
 
 5809 
 
 5927 
 
 6046 
 
 6i64 
 
 24 
 
 36 
 
 5433 
 
 5542 
 
 565i 
 
 5759 
 
 5868 
 
 5977 
 
 23 
 
 36 
 
 6283 
 
 64oi 
 
 6520 
 
 6639 
 
 6757 
 
 6876 
 
 23 
 
 37 
 
 6086 
 
 6195 
 
 63o3 
 
 64l2 
 
 6521 
 
 663o 
 
 22 
 
 37 
 
 6995 
 
 7ii3 
 
 7232 
 
 7351 
 
 7470 
 
 7589 
 
 22 
 
 38 
 
 6739 
 
 6848 
 
 6957 
 
 7066 
 
 7175 
 
 7284 
 
 21 
 
 38 
 
 7708 
 
 7827 
 
 7946 
 
 8o65 
 
 8184 
 
 83o3 
 
 21 
 
 39 
 
 7393 
 
 75o3 
 
 7612 
 
 7721 
 
 7830 
 
 7939 
 
 20 
 
 39 
 
 8422 
 
 854i 
 
 8660 
 
 8780 
 
 8899 
 
 9018 
 
 20 
 
 4o 
 
 8049 
 
 8 [58 
 
 8267 
 
 8376 
 
 8486 
 
 8595 
 
 19 
 
 40 
 
 9137 
 
 9257 
 
 9376 
 
 9496 
 
 9615 
 
 9734 
 
 '9 
 
 4i 
 
 8705 
 
 88j4 
 
 8924 
 
 9033 
 
 9143 
 
 9252 
 
 18 
 
 4i 
 
 9854 
 
 9973 
 
 ..93 
 
 .2l3 
 
 .332 
 
 .452 
 
 18 
 
 42 
 
 9362 
 
 9471 
 
 9581 
 
 9691 
 
 9800 
 
 9910 
 
 •7 
 
 42 
 
 10.740571 
 
 0691 
 
 0811 
 
 0931 
 
 io5o 
 
 1 170 
 
 17 
 
 43 
 
 10. 700020 
 
 0129 
 
 0239 
 
 0349 
 
 0459 
 
 0569 
 
 16 
 
 43 
 
 1290 
 
 i4io 
 
 i53o 
 
 i65o 
 
 1770 
 
 1890 
 
 16 
 
 44 
 
 0678 
 
 0788 
 
 0898 
 
 1008 
 
 I ri8 
 
 1228 
 
 i5 
 
 44 
 
 2010 
 
 2i3o 
 
 225o 
 
 2370 
 
 2490 
 
 261 1 
 
 i5 
 
 45 
 
 i338 
 
 1 448 
 
 i558 
 
 1668 
 
 '779 
 
 1889 
 
 i4 
 
 45 
 
 2731 
 
 285i 
 
 2971 
 
 3092 
 
 32)2 
 
 3332 
 
 f4 
 
 46 
 
 1999 
 
 2109 
 
 2219 
 
 233o 
 
 2440 
 
 255o 
 
 i3 
 
 46 
 
 3453 
 
 3573 
 
 3694 
 
 38i4 
 
 3935 
 
 4o55 
 
 i3 
 
 47 
 
 2661 
 
 2771 
 
 2881 
 
 2992 
 
 3 1 02 
 
 32 1 3 
 
 12 
 
 47 
 
 4176 
 
 4297 
 
 4417 
 
 4538 
 
 4659 
 
 4779 
 
 12 
 
 48 
 
 332 3 
 
 3434 
 
 3544 
 
 3655 
 
 3765 
 
 3876 
 
 1 1 
 
 48 
 
 4900 
 
 5o2 1 
 
 5 1 42 
 
 5263 
 
 5384 
 
 55o5 
 
 1 1 
 
 49 
 
 3987 
 
 4097 
 
 4208 
 
 4319 
 
 4429 
 
 4540 
 
 10 
 
 49 
 
 5626 
 
 5747 
 
 5868 
 
 5989 
 
 61 10 
 
 623i 
 
 10 
 
 ^ 7 
 
 5o 
 
 465i 
 
 4762 
 
 4873 
 
 4984 
 
 5095 
 
 52o5 
 
 9 
 
 5o 
 
 6352 
 
 6473 
 
 6595 
 
 6716 
 
 6837 
 
 6959 
 
 9 
 
 5i 
 
 53i6 
 
 5427 
 
 5538 
 
 5649 
 
 5761 
 
 5872 
 
 8 
 
 5i 
 
 7080 
 
 7201 
 
 7323 
 
 7444 
 
 7566 
 
 7687 
 
 8 
 
 52 
 
 5983 
 
 6094 
 
 62o5 
 
 63i6 
 
 6428 
 
 6539 
 
 7 
 
 52 
 
 7809 
 
 7930 
 
 8o52 
 
 8174 
 
 8295 
 
 8417 
 
 7 
 
 53 
 
 665<. 
 
 6761 
 
 6873 
 
 6984 
 
 7095 
 
 7207 
 
 6 
 
 53 
 
 8539 
 
 8661 
 
 8782 
 
 8904 
 
 9026 
 
 9148 
 
 6 
 
 54 
 
 7318 
 
 743o 
 
 7541 
 
 7653 
 
 7764 
 
 7876 
 
 5 
 
 54 
 
 9270 
 
 9392 
 
 95 1 4 
 
 9636 
 
 9758 
 
 9880 
 
 5 
 
 55 
 
 7987 
 8658 
 
 8099 
 8769 
 9441 
 
 821 1 
 
 8322 
 
 8434 
 
 8546 
 
 4 
 
 55 
 
 10.750002 
 
 0124 
 
 0247 
 
 0369 
 
 0491 
 
 o6i3 
 
 4 
 
 56 
 
 8881 
 
 8993 
 
 9105 
 
 9217 
 
 3 
 
 56 
 
 0736 
 
 o858 
 
 0980 
 
 I io3 
 
 1225 
 
 1 348 
 
 3 
 
 57 
 
 9329 
 
 9553 
 
 9665 
 
 9777 
 
 9889 
 
 2 
 
 57 
 
 1470 
 
 1593 
 
 1715 
 
 i838 
 
 I 96 1 
 
 2o83 
 
 2 
 
 58 
 
 / / 
 
 10. 7100 )i 
 
 0674 
 
 01 13 
 
 0225 
 
 o337 
 
 0449 
 
 o562 
 
 I 
 
 58 
 
 2206 
 
 2329 
 
 2452 
 
 2574 
 
 2697 
 
 2820 
 
 I 
 
 59 
 
 0786 
 
 0898 
 
 loi 1 
 
 I 123 
 
 1235 
 
 
 
 59 
 
 2943 
 
 3o66 
 
 3189 
 
 33i2 
 
 3435 
 
 3558 
 
 
 
 e 
 
 5 
 
 P 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 s 
 
 60" 1 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 Co-tangent of 11 Degrees. 
 
 Cotangent of 10 Degrees. 
 
 (1" 3" 3" 4" 5" 6" 7" 8" 9" 
 ■^"'^'1 n 22 32 43 54 65 75 86 97 
 
 P 
 
 ( 1" 2" 3" 4" 5" 6" 7" 8" 
 • ' "'^ i 12 23 35 47 59 70 82 94 1 
 
 9" 
 06 
 
104 
 
 
 
 Logarithmic Sines. 
 
 
 
 
 
 
 o 
 
 Sine of 80 Degrees. 
 
 
 .S 
 
 Sine of 81 Degrees. 
 
 
 0" 
 
 10" 
 
 20" 1 30" 
 3359I3363 
 
 40" 
 
 so" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 9.993351 
 
 3355 
 
 3366 3370 
 
 59 
 
 
 
 9.994620 
 
 462 3 
 
 4627 
 
 463o 
 
 4633 
 
 4637 
 
 59 
 
 I 
 
 33743377 
 
 338i:'3385 
 
 3389 
 
 3392 
 
 58 
 
 I 
 
 464o 
 
 4643 
 
 4647 
 
 465o 
 
 4653 
 
 4657 
 
 58 
 
 2 
 
 3396 34oo 
 
 34o3 
 
 3407 
 
 341 1 
 
 34i4 
 
 57 
 
 2 
 
 4660 
 
 4663 
 
 4667 
 
 4670 
 
 4673 
 
 4676 
 
 57 
 
 3 
 
 3418 
 
 3422 
 
 3426 
 
 3429 
 
 3433 
 
 3437 
 
 56 
 
 3 
 
 4680 
 
 4683 
 
 4686 
 
 4690 
 
 4693 
 
 4696 
 
 56 
 
 4 
 
 3440 
 
 3444 
 
 3448 
 
 345i 
 
 3455 
 
 3459 
 
 55 
 
 4 
 
 4700 
 
 4703 
 
 4706 
 
 4710 
 
 4713 
 
 4716 
 
 55 
 
 5 
 
 3462 
 
 3466 
 
 3470 
 
 3473 
 
 3477 
 
 3481 
 
 54 
 
 5 
 
 4720 
 
 4723 
 
 4726 
 
 4729 
 
 4733 
 
 4736 
 
 54 
 
 6 
 
 3484 
 
 3488 
 
 3492 
 
 3495 
 
 3499 
 
 35o3 
 
 53 
 
 6 
 
 4739 
 
 4743 
 
 4746 
 
 4749 
 
 4752 
 
 4756 
 
 53 
 
 7 
 
 35o6 
 
 35io 
 
 35 1 4 
 
 35 1 7 
 
 3521 
 
 3525 
 
 52 
 
 7 
 
 4759 
 
 4762 
 
 4766 
 
 4769 
 
 4772 
 
 4776 
 
 52 
 
 8 
 
 3528 
 
 3532 
 
 3536 
 
 3539 
 
 3543 
 
 3547 
 
 5i 
 
 8 
 
 4779 
 
 4782 
 
 4785 
 
 4789 
 
 4792 
 
 4795 
 
 5i 
 
 9 
 
 355o 
 
 3554 
 
 3558 
 
 356i 
 
 3565 
 
 3569 
 
 5o 
 
 9 
 
 4798 
 
 48o2 
 
 48o5 
 
 4808 
 
 48i2 
 
 48i5 
 
 5o 
 
 / 
 
 lO 
 
 9.093572 
 
 3576 
 
 358o 
 
 3583 
 
 3587 
 
 3591 
 
 49 
 
 10 
 
 9.994818 
 
 4821 
 
 4825 
 
 4828 
 
 483 1 
 
 4834 
 
 49 
 
 II 
 
 ^3594 
 
 3598 
 
 36oi 
 
 36o5 
 
 3609 
 
 36i2 
 
 48 
 
 1 1 
 
 4838 
 
 484i 
 
 4844 
 
 4848 
 
 485i 
 
 4854 
 
 48 
 
 12 
 
 36i6 
 
 3620 
 
 3623 
 
 3627 
 
 363i 
 
 3634 
 
 47 
 
 12 
 
 4857 
 
 486i 
 
 4864 
 
 4867 
 
 4870 
 
 4874 
 
 47 
 
 i3 
 
 3638 
 
 364 1 
 
 3645 
 
 3649 
 
 3652 
 
 3656 
 
 46 
 
 i3 
 
 4877 
 
 488o 
 
 4883 
 
 4887 
 
 4890 
 
 4893 
 
 46 
 
 i4 
 
 366o 
 
 3663 
 
 3667 
 
 3670 
 
 3674 
 
 3678 
 
 45 
 
 i4 
 
 4896 
 
 4900 
 
 4903 
 
 4906 
 
 4909 
 
 4913 
 
 45 
 
 i5 
 
 368 1 
 
 3685 
 
 3689 
 
 3692 
 
 3696 
 
 3699 
 
 44 
 
 i5 
 
 4916 
 
 4919 
 
 4922 
 
 4926 
 
 4929 
 
 4932 
 
 44 
 
 i6 
 
 3703 
 
 3707 
 
 3710 
 
 3714 
 
 3717 
 
 3721 
 
 43 
 
 16 
 
 4935 
 
 4938 
 
 4942 
 
 4945 
 
 4948 
 
 4951 
 
 43 
 
 17 
 
 3725 
 
 3728 
 
 3732 
 
 3735 
 
 3739 
 
 3743 
 
 42 
 
 17 
 
 4955 
 
 4958 
 
 4961 
 
 4964 
 
 4968 
 
 4971 
 
 42 
 
 i8 
 
 3746 
 
 3750 
 
 3753 
 
 3757 
 
 3761 
 
 3764 
 
 4i 
 
 18 
 
 4974 
 
 4977 
 
 4980 
 
 4984 
 
 4987 
 
 4990 
 
 4i 
 
 '9 
 
 3768 
 
 3771 
 
 3775 
 
 3779 
 
 3782 
 
 3786 
 
 4o 
 
 19 
 
 4993 
 
 4997 
 
 5ooo 
 
 5oo3 
 
 5oo6 
 
 6009 
 
 4o 
 
 20 
 
 9.993789 
 
 3793 
 
 3797 
 
 38oo 
 
 38o4 
 
 3807 
 
 39 
 
 20 
 
 9.995013 
 
 5oi6 
 
 5oi9 
 
 5022 
 
 5o25 
 
 5o29 
 
 39 
 
 21 
 
 38ii 
 
 38i4 
 
 38i8 
 
 3822 
 
 3825 
 
 3829 
 
 38 
 
 21 
 
 5o32 
 
 5o35 
 
 5o38 
 
 5o4i 
 
 5o45 
 
 5o48 
 
 38 
 
 22 
 
 3832 
 
 3836 
 
 384o 
 
 3843 
 
 3847 
 
 385o 
 
 37 
 
 22 
 
 5o5i 
 
 5o54 
 
 5o57 
 
 5o6i 
 
 5o64 
 
 5067 
 
 37 
 
 23 
 
 3854 
 
 3857 
 
 386 1 
 
 3864 
 
 3868 
 
 3872 
 
 36 
 
 23 
 
 5070 
 
 5073 
 
 5o77 
 
 5o8o 
 
 5o83 
 
 5o86 
 
 36 
 
 24 
 
 3875 
 
 3879 
 
 3882 
 
 3886 
 
 3889 
 
 3893 
 
 35 
 
 24 
 
 5089 
 
 5092 
 
 5096 
 
 5o99 
 
 5 1 02 
 
 5io5 
 
 35 
 
 25 
 
 3897 
 
 3900 
 
 3904 
 
 3907 
 
 3911 
 
 3914 
 
 34 
 
 25 
 
 5io8 
 
 5i 12 
 
 5ii5 
 
 5ii8 
 
 5l2I 
 
 5 1 24 
 
 34 
 
 26 
 
 3918 
 
 3921 
 
 3925 
 
 3928 
 
 3932 
 
 3936 
 
 33 
 
 26 
 
 6127 
 
 5i3i 
 
 5i34 
 
 5i37 
 
 5i4o 
 
 5 1 43 
 
 33 
 
 27 
 
 3939 
 
 3943 
 
 3946 
 
 3950 
 
 3953 
 
 3957 
 
 32 
 
 27 
 
 5i46 
 
 5i5o 
 
 5i53 
 
 5i56 
 
 5 1 59 
 
 5i62 
 
 32 
 
 28 
 
 3c)6o 
 
 3964 
 
 3967 
 
 3971 
 
 3974 
 
 3978 
 
 3i 
 
 28 
 
 5i65 
 
 5169 
 
 5j72 
 
 5175 
 
 5178 
 
 5i8i 
 
 3i 
 
 29 
 
 3982 
 
 3985 
 
 3989 
 
 3992 
 
 3996 
 
 3999 
 
 3o 
 
 29 
 
 5i84 
 
 5i88 
 
 5191 
 
 5194 
 
 5197 
 
 5200 
 
 3o 
 
 3o 
 
 9.994003 
 
 4oo6 
 
 4oio 
 
 4oi3 
 
 4017 
 
 4020 
 
 29 
 
 3o 
 
 g. 995203 
 
 6206 
 
 5210 
 
 52i3 
 
 52i6 
 
 5219 
 
 29 
 
 3i 
 
 4o24 
 
 4027 
 
 4o3i 
 
 4o34 
 
 4o38 
 
 4o4i 
 
 28 
 
 3i 
 
 5222 
 
 5225 
 
 5228 
 
 5232 
 
 5235 
 
 5238 
 
 28 
 
 32 
 
 4o45 
 
 4o48 
 
 4o52 
 
 4o55 
 
 4o59 
 
 4062 
 
 27 
 
 32 
 
 524i 
 
 5244 
 
 524? 
 
 525o 
 
 5253 
 
 5257 
 
 27 
 
 33 
 
 4o66 
 
 4069 
 
 4073 
 
 4076 
 
 4o8o 
 
 4o83 
 
 26 
 
 33 
 
 5260 
 
 5263 
 
 5266 
 
 5269 
 
 5272 
 
 5275 
 
 26 
 
 34 
 
 4087 
 
 4090 
 
 4094 
 
 4097 
 
 4ioi 
 
 4io4 
 
 25 
 
 34 
 
 5278 
 
 5282 
 
 5285 
 
 5288 
 
 5291 
 
 5294 
 
 25 
 
 35 
 
 4 108 
 
 4i 1 1 
 
 4ii5 
 
 4ii8 
 
 4l22 
 
 4i25 
 
 24 
 
 35 
 
 5297 
 
 53oo 
 
 53o3 
 
 5307 
 
 53io 
 
 53i3 
 
 24 
 
 36 
 
 4129 
 
 4 1 32 
 
 4i36 
 
 4i39 
 
 4i43 
 
 4i46 
 
 2 3 
 
 36 
 
 53i6 
 
 5319 
 
 5322 
 
 5325 
 
 5328 
 
 533i 
 
 23 
 
 37 
 
 4i5o 
 
 4i53 
 
 4i57 
 
 4 160 
 
 4i64 
 
 4167 
 
 22 
 
 37 
 
 5334 
 
 5338 
 
 5341 
 
 5344 
 
 5347 
 
 535o 
 
 22 
 
 38 
 
 4171 
 
 4174 
 
 4178 
 
 4i8i 
 
 4i84 
 
 4i88 
 
 21 
 
 38 
 
 5353 
 
 5356 
 
 5359 
 
 5362 
 
 5365 
 
 5369 
 
 21 
 
 39 
 
 4191 
 
 4195 
 
 4198 
 
 4202 
 
 42o5 
 
 4209 
 
 20 
 
 39 
 
 5372 
 
 5375 
 
 5378 
 
 538i 
 
 5384 
 
 5387 
 
 20 
 
 4o 
 
 9.994212 
 
 4216 
 
 4219 
 
 4223 
 
 4226 
 
 423o 
 
 19 
 
 4o 
 
 9.995390 
 
 5393 
 
 5396 
 
 5399 
 
 54o3 
 
 5406 
 
 19 
 
 4i 
 
 4233 
 
 4236 
 
 4240 
 
 4243 
 
 4247 
 
 425o 
 
 i8 
 
 4i 
 
 5409 
 
 5412 
 
 54i5 
 
 5418 
 
 5421 
 
 5424 
 
 18 
 
 42 
 
 4254 
 
 4257 
 
 4261 
 
 4264 
 
 4267 
 
 4271 
 
 17 
 
 42 
 
 5427 
 
 5430 
 
 5433 
 
 5436 
 
 5439 
 
 5442 
 
 17 
 
 43 
 
 4274 
 
 4278 
 
 4281 
 
 4285 
 
 4288 
 
 4292 
 
 16 
 
 43 
 
 5446 
 
 5449 
 
 5452 
 
 5455 
 
 5458 
 
 5461 
 
 16 
 
 44 
 
 4295 
 
 4298 
 
 43o2 
 
 43o5 
 
 4309 
 
 43 I 2 
 
 i5 
 
 44 
 
 5464 
 
 5467 
 
 5470 
 
 5473 
 
 5476 
 
 5479 
 
 i5 
 
 45 
 
 43i6 
 
 4319 
 
 4322 
 
 4326 
 
 4329 
 
 4333 
 
 i4 
 
 45 
 
 5482 
 
 5485 
 
 5488 
 
 5491 
 
 5494 
 
 5497 
 
 i4 
 
 46 
 
 4336 
 
 4340 
 
 4343 
 
 4346 
 
 435o 
 
 4353 
 
 i3 
 
 46 
 
 55oi 
 
 55o4 
 
 5507 
 
 55io 
 
 55i3 
 
 55i6 
 
 i3 
 
 47 
 
 4357 
 
 436o 
 
 4363 
 
 4367 
 
 4370 
 
 4374 
 
 12 
 
 47 
 
 5519 
 
 5522 
 
 5525 
 
 5528 
 
 553i 
 
 5534 
 
 12 
 
 48 
 
 4377 
 
 438i 
 
 4384 
 
 4387 
 
 4391 
 
 4394 
 
 1 1 
 
 48 
 
 5537 
 
 5540 
 
 5543 
 
 5546 
 
 5549 
 
 5552 
 
 II 
 
 49 
 
 4398 
 
 44oi 
 
 44o4 
 
 44o8 
 
 44ii 
 
 44i5 
 
 10 
 
 49 
 
 5555 
 
 5558 
 
 556i 
 
 5564 
 
 5567 
 
 5570 
 
 ID 
 
 5o 
 
 9.994418 
 
 4421 
 
 4425 
 
 4428 
 
 4432 
 
 4435 
 
 9 
 
 5o 
 
 9.995573 
 
 5576 
 
 5579 
 
 5582 
 
 5585 
 
 5588 
 
 9 
 
 5i 
 
 4438 
 
 4442 
 
 4445 
 
 4448 
 
 4452 
 
 4455 
 
 8 
 
 5i 
 
 5591 
 
 5594 
 
 5597 
 
 56oi 
 
 56o4 
 
 5607 
 
 8 
 
 52 
 
 4459 
 
 4462 
 
 4465 
 
 4469 
 
 4472 
 
 4476 
 
 7 
 
 52 
 
 56io 
 
 56 1 3 
 
 56i6 
 
 5619 
 
 5622 
 
 5625 
 
 7 
 
 53 
 
 4479 
 
 4482 
 
 4486|4489 
 
 4492 
 
 4496 
 
 6 
 
 53 
 
 5628 
 
 563i 
 
 5634 
 
 5637 
 
 564o 
 
 5643 
 
 6 
 
 54 
 
 4499 
 
 45o3 
 
 45o6 
 
 4509 
 
 45 1 3 
 
 45x6 
 
 5 
 
 54 
 
 5646 
 
 5649 
 
 5652 
 
 5655 
 
 5658 
 
 566i 
 
 5 
 
 55 
 
 4519 
 
 4523 
 
 4526 
 
 453o 
 
 4533 
 
 4536 
 
 4 
 
 55 
 
 5664 
 
 5667 
 
 5670 
 
 5672 
 
 5675 
 
 5678 
 
 4 
 
 56 
 
 4540 
 
 4543 
 
 4546 
 
 455o 
 
 4553 
 
 4556 
 
 3 
 
 56 
 
 568i 
 
 5684 
 
 5687 
 
 5690 
 
 5693 
 
 5696 
 
 3 
 
 57 
 
 456o 
 
 4563 
 
 4566 
 
 4570 
 
 4573 
 
 4576 
 
 2 
 
 57 
 
 5699 
 
 5702 
 
 5705 
 
 5708 
 
 5711 
 
 5714 
 
 2 
 
 58 
 
 458o 
 
 4583 
 
 4587 
 
 4590 
 
 4593 
 
 4597 
 
 I 
 
 58 
 
 5717 
 
 5720 
 
 5723 
 
 5726 
 
 5729 
 
 5732 
 
 I 
 
 59 
 
 4600 
 
 46o3 
 
 4607 
 
 4610 
 
 46i3 
 
 4617 
 
 
 
 59 
 
 5735 
 
 5738 
 
 5741 
 
 5744;5747 
 
 5750 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 so- 
 
 10" 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 1 20" 
 
 10" 
 
 
 Co-sine of 9 Degrees. 
 
 Co-sine of 8 Degrees. 
 
 P.l 
 
 ,„, i 1" 2" 3" 4" 5" 6" 7" 8" 
 (01112223 
 
 9" 
 3 
 
 p p^ . j 1" 2" 3" 4" 5" 6' r 8" 9" 
 t-.l-art-JQ 1112 2 2 3 3 
 
 '1 
 

 
 
 
 L G A K I T U M I C 
 
 Tangents. 
 
 
 
 
 105 
 
 a 
 
 Tangent of 80 Degrees. 
 
 
 s 
 
 Tangent of 81 Degrees. 
 
 59 
 
 0" 
 
 10" 1 20" 
 
 .30" 
 
 40" 
 
 50" 
 
 0" 
 
 10" 
 
 20" 1 30" 
 
 40" 
 
 50" 
 0969 
 
 
 
 10.753681 
 
 38o4 
 
 3928 
 
 4o5i 
 
 4174 
 
 4297 
 
 59 
 
 
 
 10.800287 
 
 0424 
 
 o56o 
 
 0696 
 
 0833 
 
 I 
 
 4421 
 
 4544 
 
 4667 
 
 4791 
 
 4914 
 
 5o38 
 
 58 
 
 I 
 
 1 106 
 
 1242 
 
 1379 
 
 i5i6 
 
 i652 
 
 1789 
 2610 
 
 58 
 
 2 
 
 5i6i 
 
 5285 
 
 5408 
 
 5532 
 
 5655 
 
 5779 
 
 57 
 
 2 
 
 1926 
 
 2062 
 
 2199 
 
 2336 
 
 2473 
 
 57 
 56 
 
 3 
 
 5go3 
 
 6026 
 
 6i5o 
 
 6274 
 
 6398 
 
 6522 
 
 56 
 
 3 
 
 2747 
 
 2884 
 
 3021 
 
 3 1 58 
 
 3295 
 
 3433 
 
 4 
 
 6646 
 
 6770 
 
 6894 
 
 7018 
 
 7142 
 
 7266 
 
 55 
 
 4 
 
 3570 
 
 3707 
 
 3844 
 
 3982 
 
 4i 19 
 
 4257 
 
 55 
 
 5 
 
 7390 
 
 75i4 
 
 763817762 
 
 7886 
 
 80II 
 
 54 
 
 5 
 
 4394 
 
 4532 
 
 4669 
 
 4807 
 
 4944 
 
 5082 
 
 54 
 
 6 
 
 8i35 
 
 8259 
 
 8384 
 
 85o8 
 
 8633 
 
 8757 
 
 53 
 
 6 
 
 5220 
 
 5358 
 
 5495 
 
 5633 
 
 5771 
 
 5909 
 
 53 
 
 7 
 
 8882 
 
 9006 
 
 9i3i 
 
 9255 
 
 9380 
 
 95o5 
 
 52 
 
 7 
 
 6047 
 
 6i85 
 
 6323 
 
 646i 
 
 6599 
 
 6738 
 
 52 
 
 8 
 
 9629 
 
 9754 
 
 9879 
 
 ...4 
 
 .128 
 
 .253 
 
 5i 
 
 8 
 
 6876 
 
 7014 
 
 7i52 
 
 7291 
 
 7429 
 
 7568 
 
 5i 
 
 9 
 
 10.760378 
 
 o5o3 
 
 0628 
 
 0753 
 
 0878 
 
 ioo3 
 
 5o 
 
 9 
 
 7706 
 
 7845 
 
 7983 
 
 8122 
 
 8261 
 
 8399 
 
 5o 
 
 10 
 
 1128 
 
 1253 
 
 '379 
 
 i5o4 
 
 1629 
 
 1754 
 
 49 
 
 10 
 
 8538 
 
 8677 
 
 8816 
 
 8954 
 
 9093 
 
 9232 
 
 49 
 
 1 1 
 
 1880 
 
 20o5 
 
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 43 
 
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 37 
 
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 28 
 
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 63o5 
 
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 63i3 
 
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 27 
 
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 6321 
 
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 26 
 
 33 
 
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 26 
 
 34 
 
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 25 
 
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 7257 
 
 7259 
 
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 25 
 
 35 
 
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 6354 
 
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 24 
 
 35 
 
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 7273 
 
 7276 
 
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 7280 
 
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 24 
 
 36 
 
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 638i 
 
 23 
 
 36 
 
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 23 
 
 37 
 
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 22 
 
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 64o3 
 
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 64x1 
 
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 7320 
 
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 20 
 
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 49 
 
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 6583 
 
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 9.996594 
 
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 9.997480 
 
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 7484 
 
 7487 
 
 7489 
 
 7491 
 
 9 
 
 5i 
 
 6Q10 
 
 6612 
 
 66i5 
 
 6618 
 
 6620 
 
 6623 
 
 8 
 
 5i 
 
 7493 
 
 7496 
 
 7498 
 
 7500 
 
 7502 
 
 75o5 
 
 8 
 
 52 
 
 6625 
 
 6628 
 
 663i 
 
 6633 
 
 6636 
 
 6639 
 
 7 
 
 52 
 
 7507 
 
 7509 
 
 75i I 
 
 75x4 
 
 75x6 
 
 75x8 
 
 7 
 
 53 
 
 664i 
 
 6644 
 
 6646 
 
 6649 
 
 6652 
 
 6654 
 
 6 
 
 53 
 
 7520 
 
 7523 
 
 7525 
 
 7527 
 
 7530 
 
 7532 
 
 6 
 
 54 
 
 6657 
 
 6660 
 
 6662 
 
 6665 
 
 6667 
 
 6670 
 
 5 
 
 54 
 
 7534 
 
 7536 
 
 7539 
 
 7541 
 
 7543 
 
 7545 
 
 5 
 
 55 
 
 6673 
 
 6675 
 
 6678 
 
 6681 
 
 6683 
 
 6686 
 
 4 
 
 55 
 
 7547 
 
 755o 
 
 7552 
 
 7554 
 
 7556 
 
 7559 
 
 4 
 
 56 
 
 6688 
 
 6691 
 
 6694 
 
 6696 
 
 6699 
 
 6701 
 
 3 
 
 56 
 
 7561 
 
 7563 
 
 7565 
 
 7568 
 
 7570 
 
 7572 
 
 3 
 
 57 
 
 6704 
 
 6707 
 
 6709 
 
 6712 
 
 6714 
 
 6717 
 
 2 
 
 57 
 
 7574 
 
 7577 
 
 7579 
 
 7581 
 
 7583 
 
 7585 
 
 2 
 
 58 
 
 6720 
 
 6722 
 
 6725 
 
 6727 
 
 6730 
 
 6733 
 
 I 
 
 58 
 
 7588 
 
 7590 
 
 7592 
 
 7594 
 
 7597 
 
 7599 
 
 I 
 
 59 
 
 6735 
 
 6738 
 
 674c 
 
 6743 
 
 6746 
 
 6748 
 
 
 
 59 
 
 7601 
 
 7603 
 
 7605 
 
 7608 
 
 7610 
 
 76x2 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 S 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10' 
 
 d 
 
 Co-sine of Y Degrees. 
 
 Co-sine of 6 Degi-ees. 
 
 p. 
 
 „„. j 1" 2" 8" 4" 5" 6" 7" 8" 9" 
 
 p 
 
 p, , j 1" 2" 3" 4" 5"' 6" 7" 8" 9" 
 *^^^" 10 11112 2 2 
 
 
 (011112222 
 
 i. • 
 

 
 
 
 Logarithmic 
 
 Tangents. 
 
 
 
 
 107 
 
 
 Tangent of 82 Degrees. 
 
 
 ii 
 
 Tangent of 83 Degrees. 
 
 
 0" 1 10" 
 
 20" 
 
 30" 
 
 40" 
 
 SO" 
 
 0" 
 
 10" 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 o 
 
 lo. 852197 
 
 235o 
 
 25o3 
 
 2656 
 
 2809 
 
 2962 
 
 59 
 
 
 
 10.910856 
 
 1080 
 
 I205 
 
 1879 
 
 i553 
 
 1727 
 
 2775 
 
 59 
 
 58 
 
 I 
 
 3ii5 
 
 3268 
 
 3421 
 
 3575 
 
 3728 
 
 388i 
 
 58 
 
 I 
 
 1902 
 
 2076 
 
 225l 
 
 2426 
 
 2600 
 
 2 
 
 4o34 
 
 4i88 
 
 4341 
 
 4495 
 
 4649 
 
 4802 
 
 57 
 
 2 
 
 2950 
 
 3 1 25 
 
 83oo 
 
 3475 
 
 865o 
 
 3825 
 
 57 
 56 
 
 3 
 
 4956 
 
 5iio 
 
 5263 
 
 5417 
 
 5571 
 
 5725 
 
 56 
 
 3 
 
 4ooo 
 
 4176 
 
 435i 
 
 4527 
 
 4702 
 
 4878 
 
 4 
 
 5879 
 
 6o33 
 
 6187 
 
 634i 
 
 6496 
 
 665o 
 
 55 
 
 4 
 
 5o53 
 
 5229 
 
 54o5 
 
 558i 
 
 5757 
 
 5988 
 
 55 
 
 5 
 
 6804 
 
 6958 
 
 7ii3 
 
 7267 
 
 7422 
 
 7576 
 
 54 
 
 5 
 
 6109 
 
 6285 
 
 646i 
 
 6638 
 
 6814 
 
 6990 
 8o5o 
 
 54 
 
 6 
 
 773i 
 
 7886 
 
 8o4i 
 
 8195 
 
 835o 
 
 85o5 
 
 53 
 
 6 
 
 7167 
 
 7343 
 
 7520 
 
 7697 
 
 7874 
 
 53 
 
 7 
 
 8660 
 
 88i5 
 
 8970 
 
 9125 
 
 9280 
 
 9436 
 
 52 
 
 7 
 
 8227 
 
 84o4 
 
 858i 
 
 8759 
 
 8986 
 
 9118 
 
 52 
 
 8 
 
 9591 
 
 9746 
 
 9902 
 
 ..57 
 
 .212 
 
 .368 
 
 5i 
 
 8 
 
 9290 
 
 9468 
 
 9645 
 
 9828 
 
 • • • • 
 
 .178 
 
 5i 
 
 9 
 
 io.86o524 
 
 0679 
 
 o835 
 
 0991 
 
 ii46 
 
 l302 
 
 5o 
 
 9 
 
 10.920356 
 
 o534 
 
 0712 
 
 0890 
 
 1068 
 
 1246 
 
 5o 
 
 10 
 
 i458 
 
 1614 
 
 1770 
 
 1926 
 
 2082 
 
 2239 
 
 49 
 
 lO 
 
 1424 
 
 1602 
 
 1781 
 
 1959 
 
 2188 
 
 2816 
 
 49 
 
 1 1 
 
 2395 
 
 255i 
 
 2708 
 
 2864 
 
 3o20 
 
 3177 
 
 48 
 
 1 1 
 
 2495 
 
 2678 
 
 2852 
 
 3o8i 
 
 3210 
 
 3389 
 
 48 
 
 12 
 
 3333 
 
 3490 
 
 3647 
 
 38o3 
 
 3960 
 
 4i 17 
 
 47 
 
 12 
 
 3568 
 
 3747 
 
 8926 
 
 4io5 
 
 4285 
 
 4464 
 
 47 
 
 i3 
 
 4274 
 
 443i 
 
 4588 
 
 4745 
 
 4902 
 
 5o59 
 
 46 
 
 i3 
 
 4644 
 
 4828 
 
 5oo3 
 
 5i83 
 
 5362 
 
 5542 
 
 46 
 
 i4 
 
 5216 
 
 5374 
 
 553i 
 
 5688 
 
 5846 
 
 6oo3 
 
 45 
 
 i4 
 
 5722 
 
 5902 
 
 6082 
 
 6262 
 
 6442 
 
 6628 
 
 45 
 
 i5 
 
 6161 
 
 63i9 
 
 6476 
 
 6634 
 
 6792 
 
 6950 
 
 44 
 
 i5 
 
 68o3 
 
 6984 
 
 7164 
 
 7345 
 
 7525 
 
 7706 
 
 44 
 
 i6 
 
 7107 
 
 7265 
 
 7423 
 
 758i 
 
 7739 
 
 7898 
 
 43 
 
 16 
 
 7887 
 
 8068 
 
 8249 
 
 843o 
 
 8611 
 
 8792 
 
 43 
 
 '7 
 
 8o56 
 
 8214 
 
 8372 
 
 853i 
 
 8689 
 
 8848 
 
 42 
 
 17 
 
 8973 
 
 9154 
 
 9886 
 
 9517 
 
 9699 
 
 9880 
 
 42 
 
 i8 
 
 9006 
 
 9165 
 
 9324 
 
 9482 
 
 9641 
 
 9800 
 
 4i 
 
 18 
 
 10.980062 
 
 0244 
 
 0425 
 
 0607 
 
 07S9 
 
 0971 
 
 4i 
 
 '9 
 
 9959 
 
 .118 
 
 .277 
 
 .436 
 
 .595 
 
 .754 
 
 4o 
 
 19 
 
 ii54 
 
 1886 
 
 i5i8 
 
 1700 
 
 i883 
 
 2o65 
 
 4o 
 
 20 
 
 10.870913 
 
 1072 
 
 1232 
 
 1391 
 
 i55i 
 
 1710 
 
 39 
 
 20 
 
 2248 
 
 2480 
 
 2618 
 
 2796 
 
 2979 
 
 8162 
 
 39 
 
 21 
 
 1870 
 
 2029 
 
 2189 
 
 2349 
 
 25o8 
 
 2668 
 
 38 
 
 21 
 
 3345 
 
 3528 
 
 871 1 
 
 8894 
 
 4078 
 
 4261 
 
 38 
 
 22 
 
 2828 
 
 2988 
 
 3i48 
 
 33o8 
 
 3468 
 
 3629 
 
 37 
 
 22 
 
 4444 
 
 4628 
 
 48i2 
 
 4995 
 
 5179 
 
 5363 
 
 37 
 
 23 
 
 3789 
 
 3949 
 
 4109 
 
 4270 
 
 443o 
 
 4591 
 
 36 
 
 23 
 
 5547 
 
 5781 
 
 5915 
 
 6099 
 
 6283 
 
 6467 
 
 86 
 
 24 
 
 4751 
 
 4912 
 
 5073 
 
 5234 
 
 5394 
 
 5555 
 
 35 
 
 24 
 
 6652 
 
 6836 
 
 7021 
 
 72o5 
 
 7890 
 
 7575 
 
 35 
 
 25 
 
 5716 
 
 5877 
 
 6o38 
 
 6199 
 
 636o 
 
 6522 
 
 34 
 
 25 
 
 7760 
 
 7945 
 
 8180 
 
 88i5 
 
 85oo 
 
 8685 
 
 34 
 
 •26 
 
 6683 
 
 6844 
 
 7006 
 
 7167 
 
 7329 
 
 7490 
 
 33 
 
 26 
 
 8870 
 
 9o56 
 
 9241 
 
 9427 
 
 9612 
 
 9798 
 
 33 
 
 27 
 
 7652 
 
 7813 
 
 7975 
 
 8137 
 
 8299 
 
 846i 
 
 32 
 
 27 
 
 9984 
 
 . 169 
 
 .355 
 
 .541 
 
 .727 
 
 .914 
 
 82 
 
 28 
 
 8623 
 
 8785 
 
 8947 
 
 9109 
 
 9271 
 
 9433 
 
 3 1 
 
 28 
 
 10.941100 
 
 1286 
 
 1472 
 
 1659 
 
 1845 
 
 2082 
 
 3i 
 
 29 
 
 9596 
 
 9758 
 
 9921 
 
 ..83 
 
 .246 
 
 .4o8 
 
 3o 
 
 29 
 
 2219 
 
 2406 
 
 2592 
 
 2779 
 
 2966 
 
 3i53 
 
 3o 
 
 3o 
 
 10.880571 
 
 0734 
 
 0896 
 
 1059 
 
 1222 
 
 i385 
 
 29 
 
 3o 
 
 834i 
 
 3528 
 
 8715 
 
 8902 
 
 4090 
 
 4277 
 
 29 
 
 3i 
 
 i548 
 
 171 T 
 
 1874 
 
 2o38 
 
 2201 
 
 2364 
 
 28 
 
 3i 
 
 4465 
 
 4653 
 
 484i 
 
 5o28 
 
 5216 
 
 54o4 
 
 28 
 
 32 
 
 2528 
 
 2691 
 
 2855 
 
 3oi8 
 
 3i82 
 
 3345 
 
 27 
 
 32 
 
 5593 
 
 5781 
 
 5969 
 
 6157 
 
 6346 
 
 6534 
 
 27 
 
 33 
 
 3509 
 
 3673 
 
 3837 
 
 4ooi 
 
 4i65 
 
 4329 
 
 26 
 
 33 
 
 6723 
 
 6912 
 
 7100 
 
 7289 
 
 7478 
 
 7667 
 
 26 
 
 34 
 
 4493 
 
 4657 
 
 4821 
 
 4985 
 
 5i5o 
 
 53r4 
 
 25 
 
 34 
 
 7856 
 
 8045 
 
 8234 
 
 8424 
 
 86i3 
 
 8808 
 
 25 
 
 35 
 
 5479 
 
 5643 
 
 58o8 
 
 5972 
 
 6187 
 
 63o2 
 
 24 
 
 35 
 
 8992 
 
 9182 
 
 9871 
 
 9561 
 
 9751 
 
 9941 
 
 24 
 
 36 
 
 6467 
 
 6632 
 
 6796 
 
 6961 
 
 7127 
 
 7292 
 
 23 
 
 36 
 
 10.950181 
 
 0821 
 
 o5ii 
 
 0702 
 
 0892 
 
 io83 
 
 28 
 
 37 
 
 7457 
 
 7622 
 
 7787 
 
 7953 
 
 8118 
 
 8284 
 
 22 
 
 37 
 
 1278 
 
 i464 
 
 1 654 
 
 1845 
 
 2086 
 
 2227 
 
 22 
 
 38 
 
 8449 
 
 86i5 
 
 8781 
 
 8946 
 
 91 12 
 
 9278 
 
 21 
 
 38 
 
 24i8 
 
 2609 
 
 2800 
 
 2991 
 
 3i83 
 
 3374 
 
 21 
 
 39 
 
 9444 
 
 9610 
 
 9776 
 
 9942 
 
 .108 
 
 .274 
 
 20 
 
 39 
 
 8566 
 
 3757 
 
 8949 
 
 4i4i 
 
 4332 
 
 4524 
 
 20 
 
 4o 
 
 10.890441 
 
 0607 
 
 0773 
 
 0940 
 
 1 106 
 
 1273 
 
 19 
 
 4o 
 
 4716 
 
 4908 
 
 5ioi 
 
 5293 
 
 5485 
 
 5678 
 
 19 
 
 4i 
 
 i44o 
 
 1606 
 
 1773 
 
 1940 
 
 2107 
 
 2274 
 
 18 
 
 4i 
 
 5870 
 
 6o63 
 
 6255 
 
 6448 
 
 664 1 
 
 6834 
 
 18 
 
 42 
 
 2441 
 
 2608 
 
 2775 
 
 2942 
 
 3 1 10 
 
 3277 
 
 17 
 
 42 
 
 7027 
 
 7220 
 
 74i3 
 
 7606 
 
 7800 
 
 7998 
 
 17 
 
 43 
 
 3444 
 
 36i2 
 
 3779 
 
 3947 
 
 4ii5 
 
 4282 
 
 16 
 
 43 
 
 8187 
 
 8880 
 
 8574 
 
 8768 
 
 8961 
 
 9155 
 
 16 
 
 44 
 
 445o 
 
 46 1 8 
 
 4786 
 
 4954 
 
 5 1 22 
 
 5290 
 
 i5 
 
 44 
 
 9849 
 
 9544 
 
 9738 
 
 9982 
 
 . 126 
 
 .821 
 
 i5 
 
 45 
 
 5458 
 
 5626 
 
 5795 
 
 5963 
 
 6i3i 
 
 63oo 
 
 i4 
 
 45 
 
 10.960515 
 
 0710 
 
 0905 
 
 1099 
 
 1294 
 
 1489 
 
 i4 
 
 46 
 
 6468 
 
 6637 
 
 6806 
 
 6974 
 
 7143 
 
 7812 
 
 i3 
 
 46 
 
 1684 
 
 1879 
 
 2074 
 
 2270 
 
 2465 
 
 2661 
 
 i3 
 
 47 
 
 748 r 
 
 7650 
 
 7819 
 
 7988 
 
 8i57 
 
 8326 
 
 12 
 
 47 
 
 2856 
 
 3o52 
 
 8247 
 
 8443 
 
 8689 
 
 3835 
 
 12 
 
 48 
 
 8496 
 
 8665 
 
 8834 
 
 9004 
 
 9173 
 
 9343 
 
 1 1 
 
 48 
 
 4o3i 
 
 4227 
 
 4424 
 
 4620 
 
 48i6 
 
 5oi8 
 
 1 1 
 
 49 
 
 95 1 3 
 
 9683 
 
 9852 
 
 . .22 
 
 . 192 
 
 .362 
 
 10 
 
 49 
 
 5209 
 
 5406 
 
 56o3 
 
 58oo 
 
 5997 
 
 6194 
 
 10 
 
 5o 
 
 10.900532 
 
 0702 
 
 0873 
 
 io43 
 
 I2l3 
 
 1 384 
 
 9 
 
 5o 
 
 6891 
 
 6588 
 
 6785 
 
 6988 
 
 7180 
 
 7377 
 
 9 
 
 5i 
 
 i554 
 
 1724 
 
 1895 
 
 2066 
 
 2236 
 
 2407 
 
 8 
 
 5i 
 
 7575 
 
 7778 
 
 7971 
 
 8169 
 
 8867 
 
 8565 
 
 8 
 
 52 
 
 2578 
 
 2749 
 
 2920 
 
 309 r 
 
 3262 
 
 3433 
 
 7 
 
 52 
 
 8768 
 
 8961 
 
 9159 
 
 9358 
 
 9556 
 
 9755 
 
 7 
 
 53 
 
 36o5 
 
 3776 
 
 3947 
 
 4119 
 
 4290 
 
 4462 
 
 6 
 
 53 
 
 9954 
 
 .l52 
 
 .85i 
 
 .55o 
 
 •749 
 
 .948 
 
 6 
 
 54 
 
 4633 
 
 48o5 
 
 4977 
 
 5i49 
 
 5320 
 
 5492 
 
 5 
 
 54 
 
 10.971148 
 
 i347 
 
 i546 
 
 1746 
 
 1945 
 
 2145 
 
 5 
 
 55 
 
 5664 
 
 5837 
 
 6009 
 
 6181 
 
 6353 
 
 6526 
 
 4 
 
 55 
 
 2345 
 
 2545 
 
 2745 
 
 2945 
 
 8145 
 
 3345 
 
 4 
 
 56 
 
 6698 
 
 687J 
 
 7043 
 
 7216 
 
 7888 
 
 7561 
 
 3 
 
 56 
 
 3545 
 
 3746 
 
 8946 
 
 4i47 
 
 4347 
 
 4548 
 
 3 
 
 57 
 
 7734 
 
 7907 
 
 8080 
 
 8253 
 
 8426 
 
 8599 
 
 2 
 
 57 
 
 4749 
 
 4950 
 
 5i5i 
 
 5852 
 
 5553 
 
 5755 
 
 2 
 
 58 
 
 8772 
 
 8946 
 
 9119 
 
 9292 
 
 9466 
 
 9639 
 
 I 
 
 58 
 
 5956 
 
 6i57 
 
 6359656116762 
 
 6964 
 
 1 
 
 59 
 
 9813 
 
 9987 
 
 .161 
 
 .334 
 
 .5o8 
 
 .682 
 
 
 
 59 
 
 7166 
 
 7868 
 
 7570|7773i7975 
 
 8177 
 
 
 
 d 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 SO- 
 
 10" 
 
 s 
 
 
 60" 
 
 50" 
 
 40" 1 30" 1 20" 
 
 10" 
 
 Co-tangent of 7 Degrees. 
 
 Co-tangent of 6 Degrees. 
 
 P. 
 
 „ (1" 2" 3" 4" 5" 6" 7" 8" 9" 
 ^^"'(16 33 49 65 81 98 114 130 146 
 
 „ „ J 1" 2' 3" 4" 5" 6 ' 7" 8" 9" 
 r. fart ^ jg g^ 56 75 94 112 131150 168 
 
108 
 
 Logarithmic Sines. 
 
 
 Sine of 84 Degrees. 
 
 - 
 
 .5 
 
 { Sine of 85 Deejrees. 
 
 
 0" 
 
 10" 
 
 _20^ 
 
 30" 
 
 40" 
 
 50" 
 
 1 0" 1 10" 
 
 20" 
 
 30" 
 
 40" 50" 
 
 
 
 9.99761^ 
 
 1761^ 
 
 ] 761^ 
 
 ,7621 
 
 762:: 
 
 7625 
 
 59 
 
 
 
 '9.998344|»346 
 
 8348 
 
 835o 
 
 8352 8353 
 
 59 
 
 I 
 
 762!: 
 
 J763r 
 
 ) 763^ 
 
 7634 
 
 763e 
 
 7639 
 
 58 
 
 I 
 
 8355 
 
 8357 
 
 8359 
 
 836i 
 
 8363 
 
 8364 
 
 58 
 
 2 
 
 7641 
 
 7642 
 
 7645 
 
 7647 
 
 g^bc 
 
 7652 
 
 57 
 
 2 
 
 8366 
 
 8368 
 
 8370 
 
 8372 
 
 8374 
 
 8375 
 
 57 
 
 3 
 
 765/ 
 
 765e 
 
 7658 
 
 7661 
 
 7663 
 
 7665 
 
 56 
 
 3 
 
 8377 
 
 8379 
 
 838i 
 
 8383 
 
 8385 
 
 8386 
 
 56 
 
 4 
 
 766^ 
 
 7669 
 
 7672 
 
 7674 
 
 7676 
 
 7678 
 
 55 
 
 4 
 
 8388 
 
 8390 
 
 8392 
 
 8394 
 
 8395 
 
 8397 
 
 55 
 
 5 
 
 768c 
 
 . 7682 
 
 7685 
 
 7687 
 
 7689 
 
 7691 
 
 54 
 
 5 
 
 8399 
 
 84oi 
 
 84o3 
 
 84o4 
 
 84o6 
 
 84o8 
 
 54 
 
 6 
 
 7693 
 
 7696 
 
 7698 
 
 7700 
 
 7702 
 
 7704 
 
 53 
 
 6 
 
 84io 
 
 84i2 
 
 84i3 
 
 84i5 
 
 84i7 
 
 8419 
 
 53 
 
 7 
 
 770C 
 
 7709 
 
 77" 
 
 7713 
 
 77i5 
 
 7717 
 
 52 
 
 7 
 
 842 1 
 
 8422 
 
 8424 
 
 8426 
 
 8428 
 
 843o 
 
 52 
 
 8 
 
 7719 
 
 7722 
 
 7724 
 
 7726 
 
 7728 
 
 7730 
 
 5i 
 
 8 
 
 843i 
 
 8433 
 
 8435 
 
 8437 
 
 8439 
 
 844o 
 
 5i 
 
 9 
 
 7732 
 
 7735 
 
 7737 
 
 7739 
 
 7741 
 
 7743 
 
 5o 
 
 9 
 
 8442 
 
 8444 
 
 8446 
 
 8448 
 
 8449 
 
 845i 
 
 5o 
 
 10 
 
 9.997745 
 
 7747 
 
 7750 
 
 7752 
 
 7754 
 
 7756 
 
 49 
 
 10 
 
 9.998453 
 
 8455 
 
 8456 
 
 8458 
 
 846o 
 
 8462 
 
 49 
 
 1 1 
 
 7758 
 
 7760 
 
 7762 
 
 7765 
 
 7767 
 
 7769 
 
 48 
 
 II 
 
 8464 
 
 8465 
 
 8467 
 
 8469 
 
 8471 
 
 8472 
 
 48 
 
 12 
 
 7771 
 
 7773 
 
 7775 
 
 7777 
 
 7780 
 
 7782 
 
 47 
 
 12 
 
 8474 
 
 8476 
 
 8478 
 
 8479 
 
 848i 
 
 8483 
 
 47 
 
 i3 
 
 7784 
 
 7786 
 
 7788 
 
 7790 
 
 7792 
 
 7794 
 
 46 
 
 i3 
 
 8485 
 
 8487 
 
 8488 
 
 8490 
 
 8492 
 
 8494 
 
 46 
 
 i4 
 
 7797 
 
 7799 
 
 7801 
 
 7803 
 
 7805 
 
 7807 
 
 45 
 
 i4 
 
 8495 
 
 8497 
 
 8499 
 
 85oi 
 
 85o2 
 
 85o4 
 
 45 
 
 i5 
 
 7809 
 
 781. 
 
 7814 
 
 7816 
 
 7818 
 
 7820 
 
 44 
 
 i5 
 
 85o6 
 
 85o8 
 
 85o9 
 
 85ii 
 
 85x3 
 
 85i5 
 
 44 
 
 i6 
 
 7S22 
 
 7824 
 
 7826 
 
 7828 
 
 7830 
 
 7833 
 
 43 
 
 16 
 
 85i6 
 
 85i8 
 
 8520 
 
 8522 
 
 8523 
 
 8525 
 
 43 
 
 17 
 
 7835 
 
 7837 
 
 7839 
 
 7841 
 
 7843 
 
 7845 
 
 42 
 
 17 
 
 8527 
 
 8529 
 
 853o 
 
 8532 
 
 8534 
 
 8535 
 
 42 
 
 i8 
 
 7847 
 
 7849 
 
 7852 
 
 7854 
 
 7856 
 
 7858 
 
 4i 
 
 18 
 
 8537 
 
 8539 
 
 854i 
 
 8542 
 
 8544 
 
 8546 
 
 4i 
 
 '9 
 
 7860 
 
 7862 
 
 7864 
 
 7866 
 
 7868 
 
 7870 
 
 4o 
 
 J9 
 
 8548 
 
 8549 
 
 855i 
 
 8553 
 
 8554 
 
 8556 
 
 4o 
 
 20 
 
 9.997872 
 
 7875 
 
 7877 
 
 7«79 
 
 7881 
 
 7883 
 
 39 
 
 20 
 
 9.998558 
 
 856o 
 
 856i 
 
 8563 
 
 8565 
 
 8566 
 
 39 
 
 21 
 
 7885 
 
 7887 
 
 7889 
 
 7891 
 
 7893 
 
 7895 
 
 38 
 
 21 
 
 8568 
 
 8570 
 
 8572 
 
 8573 
 
 8575 
 
 8577 
 
 38 
 
 22 
 
 7897 
 
 7900 
 
 7902 
 
 7904 
 
 7906 
 
 7908 
 
 37 
 
 22 
 
 8578 
 
 858o 
 
 8582 
 
 8584 
 
 8585 
 
 8587 
 
 37 
 
 23 
 
 7910 
 
 7912 
 
 7914 
 
 7916 
 
 7918 
 
 7920 
 
 36 
 
 23 
 
 8589 
 
 8590 
 
 8592 
 
 8594 
 
 8595 
 
 8597 
 
 36 
 
 24 
 
 7922 
 
 7924 
 
 7926 
 
 7929 
 
 7931 
 
 7933 
 
 35 
 
 24 
 
 8599 
 
 8601 
 
 8602 
 
 86o4 
 
 8606 
 
 8607 
 
 35 
 
 25 
 
 7935 
 
 7937 
 
 7939 
 
 7941 
 
 7943 
 
 7945 
 
 34 
 
 25 
 
 8609 
 
 8611 
 
 8612 
 
 86i4 
 
 8616 
 
 8617 
 
 34 
 
 2G 
 
 7947 
 
 7949 
 
 7951 
 
 7953 
 
 7955 
 
 7957 
 
 33 
 
 26 
 
 8619 
 
 8621 
 
 8622 
 
 8624 
 
 8626 
 
 8627 
 
 33 
 
 27 
 
 7959 
 
 7961 
 
 7963 
 
 7965 
 
 7967 
 
 7970 
 
 32 
 
 27 
 
 8629 
 
 863i 
 
 8633 
 
 8634 
 
 8636 
 
 8638 
 
 32 
 
 28 
 
 7972 
 
 7974 
 
 7976 
 
 7978 
 
 7980 
 
 7982 
 
 3i 
 
 28 
 
 8639 
 
 864 1 
 
 8643 
 
 8644 
 
 8646 
 
 8648 
 
 3i 
 
 29 
 
 7984 
 
 7986 
 
 7988 
 
 7990 
 
 7992 
 
 7994 
 
 3o 
 
 29 
 
 8649 
 
 865i 
 
 8653 
 
 8654 
 
 8656 
 
 8657 
 
 3o 
 
 3o 
 
 9.997996 
 
 7998 
 
 8000 
 
 8002 
 
 8004 
 
 8006 
 
 29 
 
 3o 
 
 9.998659 
 
 8661 
 
 8662 
 
 8664 
 
 8666 
 
 8667 
 
 29 
 
 3i 
 
 8008 
 
 8010 
 
 8012 
 
 80 1 4 
 
 8016 
 
 8018 
 
 28 
 
 3i 
 
 8669 
 
 8671 
 
 8672 
 
 8674 
 
 8676 
 
 8677 
 
 28 
 
 32 
 
 8020 
 
 8022 
 
 8024 
 
 8026 
 
 8028 
 
 8o3o 
 
 27 
 
 32 
 
 8679 
 
 8681 
 
 8682 
 
 8684 
 
 8686 
 
 8687 
 
 27 
 
 33 
 
 8o32 
 
 8o34 
 
 8o36 
 
 8o38 
 
 8o4o 
 
 8042 
 
 26 
 
 33 
 
 8689 
 
 8690 
 
 8692 
 
 8694 
 
 8695 
 
 8697 
 
 26 
 
 34 
 
 8o44 
 
 8o46 
 
 8o48 
 
 8o5o 
 
 8o52 
 
 8o54 
 
 25 
 
 34 
 
 8699 
 
 8700 
 
 8702 
 
 8704 
 
 8705 
 
 8707 
 
 25 
 
 35 
 
 8o56 
 
 8o58 
 
 8060 
 
 8062 
 
 8064 
 
 8066 
 
 24 
 
 35 
 
 8708 
 
 8710 
 
 8712 
 
 8713 
 
 8715 
 
 8717 
 
 24 
 
 36 
 
 8068 
 
 8070 
 
 8072 
 
 8074 
 
 8076 
 
 8078 
 
 23 
 
 36 
 
 8718 
 
 8720 
 
 8721 
 
 8723 
 
 8725 
 
 8726 
 
 23 
 
 37 
 
 8080 
 
 8082 
 
 8084 
 
 8086 
 
 8088 
 
 8090 
 
 22 
 
 37 
 
 8728 
 
 8729 
 
 8731 
 
 8733 
 
 8734 
 
 8736 
 
 22 
 
 38 
 
 8092 
 
 8094 
 
 8096 
 
 8098 
 
 8100 
 
 8102 
 
 21 
 
 38 
 
 8738 
 
 8739 
 
 8741 
 
 8742 
 
 8744 
 
 8746 
 
 21 
 
 39 
 
 8io4 
 
 8106 
 
 8108 
 
 8no 
 
 8112 
 
 81 14 
 
 20 
 
 39 
 
 8747 
 
 8749 
 
 8750 
 
 8752 
 
 8754 
 
 8755 
 
 20 
 
 4o 
 
 9.9981 16 
 
 8118 
 
 8120 
 
 8122 
 
 8124 
 
 8126 
 
 19 
 
 4o 
 
 9.998757 
 
 8758 
 
 8760 
 
 8762 
 
 8763 
 
 8765 
 
 '9 
 
 4i 
 
 8128 
 
 8i3o 
 
 8i3i 
 
 8i33 
 
 8i35 
 
 81 37 
 
 18 
 
 4i 
 
 8766 
 
 8768 
 
 8769 
 
 8771 
 
 8773 
 
 8774 
 
 18 
 
 42 
 
 8139 
 
 8i4i 
 
 8143 
 
 8145 
 
 8147 
 
 8149 
 
 f7 
 
 42 
 
 8776 
 
 8777 
 
 8779 
 
 8781 
 
 8782 
 
 8784 
 
 17 
 
 43 
 
 8i5i 
 
 8i53 
 
 8i55 
 
 8i57 
 
 8159 
 
 8161 
 
 16 
 
 43 
 
 8785 
 
 8787 
 
 8788 
 
 8790 
 
 8792 
 
 8793 
 
 16 
 
 44 
 
 8i63 
 
 8i65 
 
 8167 
 
 8168 
 
 8170 
 
 8172 
 
 i5 
 
 44 
 
 8795 
 
 8796 
 
 8798 
 
 8799 
 
 8801 
 
 88o3 
 
 i5 
 
 45 
 
 8174 
 
 8176 
 
 8178 
 
 8180 
 
 8182 
 
 8i84 
 
 i4 
 
 45 
 
 8804 
 
 8806 
 
 8807 
 
 8809 
 
 8810 
 
 8812 
 
 i4 
 
 46 
 
 8186 
 
 8188 
 
 8190 
 
 8192 
 
 8194 
 
 8195 
 
 i3 
 
 46 
 
 88 1^3 
 
 88i5 
 
 8817 
 
 8818 
 
 8820 
 
 8821 
 
 i3 
 
 47 
 
 8.97 
 
 8199 
 
 8201 
 
 8203 
 
 82o5 
 
 8207 
 
 12 
 
 47 
 
 8823 
 
 8824 
 
 8826 
 
 8827 
 
 8829 
 
 883i 
 
 12 
 
 48 
 
 8209 
 
 8211 
 
 8213 
 
 8215 
 
 8217 
 
 8218 
 
 II 
 
 48 
 
 8832 
 
 8834 
 
 8835 
 
 8837 
 
 8838 
 
 884o 
 
 1 1 
 
 49 
 
 8220 
 
 8222 
 
 8224 
 
 8226 
 
 8228 
 
 823o 
 
 10 
 
 49 
 
 884i 
 
 8843 
 
 8844 
 
 8846 
 
 8848 
 
 8849 
 
 10 
 
 5o 
 
 9.998232 
 
 8234 
 
 8236 
 
 8238 
 
 8239 
 
 8241 
 
 9 
 
 5o 
 
 9.998851 
 
 8852 
 
 8854 
 
 8855 
 
 S857 
 
 8858 
 
 9 
 
 5i 
 
 8243 
 
 8245 
 
 8247 
 
 8249 
 
 825i 
 
 8253 
 
 8 
 
 5i 
 
 8860 
 
 8861 
 
 8863 
 
 8864 
 
 8866 
 
 8867 
 
 8 
 
 52 
 
 8255 
 
 8257 
 
 8258 
 
 8260 
 
 8262 
 
 8264 
 
 7 
 
 52 
 
 8869 
 
 8870 
 
 8872 
 
 8873 
 
 8875 
 
 8877 
 
 7 
 
 53 
 
 8266 
 
 8268 
 
 8270 
 
 8272 
 
 8273 
 
 8275 
 
 6 
 
 53 
 
 8878 
 
 8880 
 
 8881 
 
 8883 
 
 8884 
 
 8886 
 
 6 
 
 54 
 
 r r 
 
 8277 
 
 8279 
 
 8281 
 
 8283 
 
 8285 
 
 8287 
 
 5 
 
 54 
 
 8887 
 
 3889 
 
 8890 
 
 8892 
 
 S893 
 
 8895 
 
 5 
 
 55 
 
 8289 
 
 8290 
 
 8292 
 
 8294 
 
 8296 
 
 8298 
 
 4 
 
 55 
 
 8896 
 
 3898 
 
 8899 
 
 8901 
 
 8902 
 
 8904 
 
 4 
 
 56 
 
 83oo 
 
 83o2 
 
 83o3 
 
 83o5 
 
 83o7 
 
 83o9 
 
 3 
 
 56 
 
 8905 
 
 S907 
 
 8908 
 
 8910 
 
 8911 
 
 8913 
 
 3 
 
 57 
 
 r /-, 
 
 83ii 
 
 83i3 
 
 83i5 
 
 83i6 
 
 83i8 
 
 8320 
 
 2 
 
 57 
 
 8914 
 
 S916 
 
 8917 
 
 8919 
 
 8920 
 
 8922 
 
 2 
 
 58 
 
 8322 
 
 8324 
 
 8326 
 
 8328 
 
 8329 
 
 833i 
 
 I 
 
 58 
 
 8923 
 
 S925 
 
 8926 
 
 8927 
 
 8929 
 
 8930 
 
 I 
 
 59 
 
 8333 
 
 8335 
 
 8337 
 
 8339 
 
 834i 
 
 8342 
 
 
 
 59 
 
 8932 
 
 S933 
 
 S935 
 
 8936 
 
 8938 
 
 8939 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 1 
 
 10" 
 
 
 Co-sine of 5 Dea^rees. 
 
 Co-sine of 4 Degrees. 
 
 P.P 
 
 „. i 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 lo 1 1 1 1 12 2 
 
 p Parf i 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 ^- *^^" / 1 1 1 1 1 1 
 
LOGAKITHMIC TaNGENTS. 
 
 lUl) 
 
 
 Tangent of 84 Degrees. 
 
 
 S 
 
 Tangent of 85 Degrees. 
 
 
 
 0" 
 
 10" 
 
 20" 
 
 3u" 40" 1 50" 
 
 0" 
 
 10" 1 
 
 20" 
 
 30" 
 
 40" 
 
 50" 
 
 o 
 
 10.9783S0 
 
 8582 
 
 8785 
 
 8988 9191I 
 
 9394, 
 
 59 
 
 
 
 1 1 .o58o48 8291 
 
 8533 
 
 8776 
 
 9019' 
 
 y262 
 
 59 
 
 I 
 
 9597 
 
 9800 
 
 ...3 
 
 .206 
 
 .410 
 
 .6i3 
 
 58 
 
 I 
 
 9506 9749 
 
 9993 
 
 .236 
 
 .480 
 
 .724 
 
 58 
 
 2 
 
 10.980817 
 
 1021 
 
 1224 
 
 1428 
 
 1 632 
 
 i836^ 
 
 57 
 
 2 
 
 1 1 .060968 
 
 1 2 1 2 
 
 i456 
 
 1701 
 
 1945 
 
 2190 
 
 57 
 
 3 
 
 2o4l 
 
 2245 
 
 2449 
 
 2654 
 
 2858 
 
 3o63 
 
 56 
 
 3 
 
 2435 
 
 2680 
 
 2925 
 
 3170 
 
 3416 
 
 366i 
 
 56 
 
 4 
 
 3268 
 
 3472 
 
 3677 
 
 3882 
 
 4087 
 
 4293 
 
 55 
 
 4 
 
 3907 
 
 4i53 
 
 4399 
 
 4645 
 
 4891 
 
 5 1 38 
 
 55 
 
 5 
 
 4498 
 
 4703 
 
 4909 
 
 5i i4 
 
 5320 
 
 5526 
 
 54 
 
 5 
 
 5384 
 
 563i 
 
 5877 
 
 6124 
 
 6371 
 
 6619 
 
 54 
 
 6 
 
 5732 
 
 5938 
 
 6144 
 
 635o 
 
 6556 
 
 6763 
 
 53 
 
 6 
 
 6866 
 
 71 13 
 
 7361 
 
 7609 
 
 7857 
 
 8io5 
 
 53 
 
 7 
 
 6969 
 
 7176 
 
 7382 
 
 7589 
 
 7796 
 
 8oo3 
 
 52 
 
 7 
 
 8353 
 
 8601 
 
 885o 
 
 9098 
 
 9347 
 
 9596 
 
 52 
 
 8 
 
 8210 
 
 8417 
 
 8624 
 
 883i 
 
 9039 
 
 9246 
 
 5i 
 
 8 
 
 9845 
 
 . .94 
 
 .343 
 
 .593 
 
 .842 
 
 1092 
 
 5i 
 
 9 
 
 9454 
 
 9662 
 
 9869 
 
 ••77 
 
 .285 
 
 .493 
 
 5o 
 
 9 
 
 1 1 .071342 
 
 1592 
 
 1842 
 
 2092 
 
 2343 
 
 2593 
 
 5o 
 
 lO 
 
 10.990702 
 
 0910 
 
 II 18 
 
 1 327 
 
 i535 
 
 1744 
 
 49 
 
 10 
 
 2844 
 
 3095 
 
 3346 
 
 3597 
 
 3848 
 
 4 100 
 
 49 
 
 1 1 
 
 1953 
 
 2162 
 
 2371 
 
 2 58o 
 
 2789 
 
 2998 
 
 48 
 
 II 
 
 435i 
 
 46o3 
 
 4855 
 
 5io7 
 
 5359 
 
 56ii 
 
 48 
 
 12 
 
 3208 
 
 3417 
 
 3627 
 
 3836 
 
 4o46 
 
 4256 
 
 47 
 
 12 
 
 5864 
 
 6m6 
 
 6369 
 
 6622 
 
 6875 
 
 7128 
 
 47 
 
 i3 
 
 4466 
 
 4676 
 
 4886 
 
 5096 
 
 5307 
 
 55i7 
 
 46 
 
 i3 
 
 7381 
 
 7635 
 
 7888 
 
 8i42 
 
 8396 
 
 865o 
 
 46 
 
 i4 
 
 5728 
 
 5939 
 
 6149 
 
 636o 
 
 6571 
 
 6782 
 
 45 
 
 i4 
 
 8904 
 
 9159 
 
 94i3 
 
 9668 
 
 9922 
 
 .177 
 
 45 
 
 i5 
 
 6993 
 
 7205 
 
 7416 
 
 7627 
 
 7839 
 
 8o5i 
 
 44 
 
 i5 
 
 1 1 .080432 
 
 0688 
 
 0943 
 
 1199 
 
 ■ 454 
 
 1710 
 
 44 
 
 i6 
 
 8262 
 
 8474 
 
 8686 
 
 8898 
 
 91 T 1 
 
 9323 
 
 43 
 
 16 
 
 1966 
 
 2222 
 
 2478 
 
 2735 
 
 2991 
 
 3248 
 
 43 
 
 '7 
 
 9535 
 
 9748 
 
 9960 
 
 .173 
 
 .386 
 
 .599 
 
 42 
 
 17 
 
 35o5 
 
 3762 
 
 4019 
 
 4276 
 
 4534 
 
 479' 
 
 42 
 
 i8 
 
 1 1 .000812 
 
 102 5 
 
 1238 
 
 i45i 
 
 i665 
 
 1878 
 
 4i 
 
 18 
 
 5o49 
 
 5307 
 
 5565 
 
 5823 
 
 6082 
 
 6 340 
 
 4i 
 
 ■9 
 
 2092 
 
 23o6 
 
 25i9 
 
 2733 
 
 2947 
 
 3i6i 
 
 4o 
 
 19 
 
 6599 
 
 6858 
 
 7i'7 
 
 7376 
 
 7635 
 
 7894 
 
 4o 
 
 20 
 
 3376 
 
 3590 
 
 38o4 
 
 4019 
 
 4234 
 
 4448 
 
 39 
 
 20 
 
 8i54 
 
 84i4 
 
 8674 
 
 8934 
 
 9194 
 
 9454 
 
 39 
 
 21 
 
 4663 
 
 4878 
 
 5og3 
 
 53o8 
 
 5524 
 
 5739 
 
 38 
 
 21 
 
 97i5 
 
 9975 
 
 .236 
 
 .497 
 
 .758 1020 
 
 38 
 
 22 
 
 5955 
 
 6170 
 
 6386 
 
 6602 
 
 6818 
 
 7034 
 
 37 
 
 22 
 
 1 1 .091281 
 
 i543 
 
 t8o4 
 
 2066 
 
 232& 2590 
 
 37 
 
 2 3 
 
 725o 
 
 7466 
 
 7682 
 
 7899 
 
 8ii5 
 
 8332 
 
 36 
 
 23 
 
 2853 
 
 3ii5 
 
 3378 
 
 364 1 
 
 3904 
 
 4167 
 
 36 
 
 24 
 
 8549 
 
 8765 
 
 8982 
 
 9199 
 
 9417 
 
 9634 
 
 35 
 
 24 
 
 443o 
 
 4694 
 
 4957 
 
 522T 
 
 5485 5749 
 
 35 
 
 2 5 
 
 985i 
 
 ..69 
 
 .286 
 
 .5o4 
 
 .722 
 
 .940 
 
 34 
 
 25 
 
 6oi3 
 
 6278 
 
 6542 
 
 6807 
 
 7072 
 
 7337 
 
 34 
 
 26 
 
 1 1 .011 158 
 
 1376 
 
 1594 
 
 i8i3 
 
 2o3i 
 
 225o 
 
 33 
 
 26 
 
 7602 
 
 7868 
 
 8i33 
 
 8399 
 
 8665 
 
 8931 
 
 33 
 
 27 
 
 2468 
 
 2687 
 
 2906 
 
 3i25 
 
 3344 
 
 3563 
 
 32 
 
 27 
 
 9197 
 
 9463 
 
 9730 
 
 9996 
 
 .263 
 
 .53o 
 
 32 
 
 28 
 
 3783 
 
 4002 
 
 4222 
 
 444 1 
 
 4661 
 
 488i 
 
 3i 
 
 28 
 
 1 1 . 100797 
 
 io65 
 
 i332 
 
 I 600 
 
 1868 
 
 2i36 
 
 3i 
 
 29 
 
 5ioi 
 
 5321 
 
 5541 
 
 5762 
 
 5982 
 
 6202 
 
 3o 
 
 29 
 
 24o4 
 
 2672 
 
 2940 
 
 3209 
 
 3478 
 
 3747 
 
 3o 
 
 3o 
 
 6423 
 
 6644 
 
 6865 
 
 7086 
 
 7307 
 
 7528 
 
 29 
 
 3o 
 
 4oi6 
 
 4285 
 
 4555 
 
 4824 
 
 5094 
 
 5364 
 
 29 
 
 3i 
 
 7749 
 
 7971 
 
 8192 
 
 84i4 
 
 8636 
 
 8857 
 
 28 
 
 3i 
 
 5634 
 
 5904 
 
 6175 
 
 6445 
 
 6716 
 
 6987 
 
 28 
 
 32 
 
 9079 
 
 9301 
 
 9524 
 
 9746 
 
 9968 
 
 .191 
 
 27 
 
 32 
 
 7258 
 
 7529 
 
 7801 
 
 8072 
 
 8344 
 
 8616 
 
 27 
 
 33 
 
 1 I .0204l4 
 
 o636 
 
 0859 
 
 1082 
 
 i3o5 
 
 i528 
 
 26 
 
 33 
 
 8888 
 
 9160 
 
 9433 
 
 9705 
 
 9978 
 
 .25l 
 
 26 
 
 34 
 
 1752 
 
 1975 
 
 2199 
 
 2X22 
 
 2646 
 
 2870 
 
 25 
 
 34 
 
 II . I io524 
 
 0798 
 
 1071 
 
 1 345 
 
 1618 
 
 1892 
 
 25 
 
 35 
 
 3094 
 
 33i8 
 
 3542 
 
 3767 
 
 3991 
 
 4216 
 
 24 
 
 35 
 
 2167 
 
 2441 
 
 2715 
 
 2990 
 
 3265 
 
 3540 
 
 24 
 
 36 
 
 4440 
 
 4665 
 
 4890 
 
 5ii5 
 
 5340 
 
 5565 
 
 23 
 
 36 
 
 38i5 
 
 4090 
 
 4366 
 
 4642 
 
 4917 
 
 5193 
 
 23 
 
 37 
 
 5791 
 
 6016 
 
 6242 
 
 6468 
 
 6693 
 
 6919 
 
 22 
 
 37 
 
 5470 
 
 5746 
 
 6023 
 
 6299 
 
 6576 
 
 6853 
 
 22 
 
 38 
 
 7145 
 
 7372 
 
 7598 
 
 7824 
 
 8o5i 
 
 8277 
 
 21 
 
 38 
 
 7i3i 
 
 7408 
 
 7686 
 
 7963 
 
 8241 
 
 8520 
 
 21 
 
 39 
 
 85o4 
 
 8731 
 
 8958 
 
 9185 
 
 9412 
 
 9640 
 
 20 
 
 39 
 
 8798 
 
 9076 
 
 9355 
 
 9634 
 
 9913 
 
 . 192 
 
 20 
 
 4o 
 
 9867 
 
 ..95 
 
 . 322 
 
 .550 
 
 .778 
 
 1006 
 
 19 
 
 40 
 
 1 1 . 120471 
 
 0751 
 
 io3i 
 
 i3i I 
 
 1591 
 
 1871 
 
 19 
 
 4i 
 
 1 1 .o3i234 
 
 1462 
 
 1691 
 
 1919 
 
 2l48 
 
 2377 
 
 18 
 
 4i 
 
 2l5l 
 
 2432 
 
 2713 
 
 2994 
 
 3275 
 
 3556 
 
 18 
 
 42 
 
 2606 
 
 2835 
 
 3o64 
 
 3293 
 
 3522 
 
 3752 
 
 17 
 
 42 
 
 3838 
 
 4II9 
 
 44oi 
 
 4683 
 
 4966 
 
 5248 
 
 17 
 
 43 
 
 3981 
 
 421 1 
 
 444i 
 
 4671 
 
 4901 
 
 5i3i 
 
 16 
 
 43 
 
 553i 
 
 58i3 
 
 6096 
 
 638o 
 
 6663 
 
 6946 
 
 16 
 
 44 
 
 536i 
 
 5592 
 
 5822 
 
 6o53 
 
 6284 
 
 65i4 
 
 i5 
 
 44 
 
 7230 
 
 75i4 
 
 7798 
 
 8082 
 
 8367 
 
 865 1 
 
 i5 
 
 45 
 
 6745 
 
 6977 
 
 7208 
 
 7439 
 
 7671 
 
 7902 
 
 i4 
 
 45 
 
 8936 
 
 9221 
 
 9506 
 
 9792 
 
 ••77 
 
 .363 
 
 i4 
 
 46 
 
 8i34 
 
 8366 
 
 8598 
 
 883o 
 
 9062 
 
 9295 
 
 i3 
 
 46 
 
 1 1 . i3o649 
 
 0935 
 
 1221 
 
 i5o8 
 
 1794 
 
 2081 
 
 i3 
 
 47 
 
 9527 
 
 9760 
 
 9992 
 
 .225 
 
 .458 
 
 .691 
 
 12 
 
 47 
 
 2368 
 
 2656 
 
 2943 
 
 323 r 
 
 35i8 
 
 38o6 
 
 12 
 
 48 
 
 II .040925 
 
 ii58 
 
 1391 
 
 1625 
 
 1859 
 
 2092 
 
 II 
 
 48 
 
 4094 
 
 4383 
 
 4671 
 
 4960 
 
 5249 
 
 5538 
 
 II 
 
 49 
 
 2326 
 
 256i 
 
 2795 
 
 3029 
 
 3264 
 
 3498 
 
 10 
 
 49 
 
 5827 
 
 6117 
 
 6407 
 
 6697 
 
 6987 
 
 7277 
 
 10 
 
 5o 
 
 3733 
 
 3968 
 
 42o3 
 
 4438 
 
 4673 
 
 4908 
 
 9 
 
 5o 
 
 7567 
 
 7858 
 
 8149 
 
 8440 
 
 8731 
 
 9023 
 
 9 
 
 5i 
 
 5i44 
 
 5379 
 
 56i5 
 
 585i 
 
 6087 
 
 6323 
 
 8 
 
 5i 
 
 93i4 
 
 9606 
 
 9898 
 
 . 190 
 
 .483 
 
 .775 
 
 8 
 
 52 
 
 6559 
 
 / 7 
 
 6795 
 
 7032 
 
 7268 
 
 75o5 
 
 7742 
 
 7 
 
 52 
 
 1 1 . 1 4 1068 
 
 i36i 
 
 i654 
 
 1947 
 
 224' 
 
 2535 
 
 7 
 
 53 
 
 7979 
 
 8216 
 
 8453 
 
 8691 
 
 8928 
 
 9166 
 
 6 
 
 53 
 
 2829 
 
 3i23 
 
 3417 
 
 3712 
 
 4007 
 
 43oi 
 
 6 
 
 54 
 
 '7*7 
 
 94o3 
 
 9641 
 
 9879 
 
 .117 
 
 .356 
 
 .594 
 
 5 
 
 54 
 
 4597 
 
 4892 
 
 5187 
 
 5483 
 
 5779 
 
 6075 
 
 5 
 
 55 
 
 11 .o5o832 
 
 7 ^ 
 IO7I 
 
 i3io 
 
 i549 
 
 1788 
 
 2027 
 
 4 
 
 55 
 
 6372 
 
 6668 
 
 6965 
 
 7262 
 
 7559 
 
 7856 
 
 4 
 
 56 
 
 2266 
 
 25o6 
 
 2745 
 
 2985 
 
 3225 
 
 3465 
 
 3 
 
 56 
 
 8i54 
 
 8452 
 
 8750 
 
 9048 
 
 9346 
 
 9645 
 
 3 
 
 57 
 
 3705 
 
 3945 
 
 4i85 
 
 4426 
 
 4666 
 
 4907 
 
 2 
 
 57 
 
 9943 
 
 .242 
 
 .542 
 
 .84i 
 
 ii4i 
 
 i44o 
 
 2 
 
 58 
 
 5i48 
 
 5389 
 6837 
 
 563o 
 
 5871 
 
 61 12 
 
 6354 
 
 I 
 
 58 
 
 11 . i5i74o 
 
 204l 
 
 234i 
 
 2642 
 
 2942 
 
 3243 
 
 I 
 
 5g 
 
 6596 
 
 7070 
 
 7321 
 
 7563 
 
 7806 
 
 
 
 1 
 
 59 
 
 3545 
 
 3846 
 
 4i48 
 
 4449 
 
 4752 
 
 5o54 
 
 
 
 
 60" 
 
 1 50" 40" 
 
 30" 20" 
 
 10" 
 
 60" 
 
 50" 
 
 40" 1 30" 
 
 20" 
 
 10" 
 
 _d 
 
 -1 
 
 Co-tangent of 5 Degrees. 
 
 Co-tangent of 4 Degrees. 
 
 P. 
 
 „ ( !'• 2' 3" 4" 5" 6" 7" 8" 9" 
 ^'"■' ■( 22 44 66 88 110 132 154 177 199 
 
 „ „ J 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 P. Part ^ 27 54 81 108 135 162 188 215 242 
 
110 
 
 LOGAKITHMIC SiNES. 
 
 s 
 
 Sine of 86 Degrees. 
 
 - 
 
 i 
 
 Sine of 87 Degrees. 
 
 
 0" 
 
 10" 
 
 ■Hd" 
 
 8944 
 
 30" 1 40" 
 
 1 50" 
 
 0" 
 
 10" 
 
 20" j 30" 1 40" 
 
 50" 
 
 o 
 
 9- 99^^94 1 
 
 8942 
 
 8945 
 
 »947 
 
 "8948 
 
 59 
 
 
 
 9.999404 
 
 9406 
 
 9407 9408 9409 
 
 9410 
 
 59 
 
 I 
 
 8950 
 
 8951 
 
 8953 
 
 8954 
 
 ^8955 
 
 8957 
 
 58 
 
 I 
 
 94 1 1 
 
 I9412 
 
 94i3 94i4!94i5 
 
 9416 
 
 58 
 
 2 
 
 8958 
 8967 
 
 8960 
 
 8961 
 
 8963 
 
 8964 
 
 8966 
 
 57 
 
 2 
 
 9418 
 
 9419 
 
 942o'942i 
 
 9422 
 
 9423 
 
 57 
 
 3 
 
 ,8969 
 8977 
 
 8970 
 
 8971 
 
 'S973 
 
 8974 
 
 56 
 
 3 
 
 9424 
 
 19425 
 
 9426 9427 
 
 9428 
 
 943o 
 
 56 
 
 4 
 
 8976 
 
 8979 
 
 8980 
 
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 8983 
 
 55 
 
 4 
 
 943i 
 
 9432 
 
 94339434 
 
 9435 
 
 9436 
 
 55 
 
 5 
 
 89S4 
 
 8986 
 
 8987 
 
 8989 8990 
 
 8992 
 
 54 
 
 5 
 
 9437 
 
 9438 
 
 943919440 
 
 9441 
 
 9442 
 
 54 
 
 6 
 
 8993 
 
 8995 
 
 8996 
 
 8997:8999 
 
 9000 
 
 53 
 
 6 
 
 9443 
 
 9445 
 
 9446 9447 
 
 9448 
 
 9449 
 
 53 
 
 7 
 
 0002 
 
 9003 
 
 9005 
 
 9006,9007 
 
 9009 
 
 52 
 
 7 
 
 9450 
 
 945i 
 
 9452 9453 
 
 9454 
 
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 52 
 
 8 
 
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 9012 
 
 9013 
 
 9015 9016 
 
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 8 
 
 9456 9457 
 
 94589459 
 
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 9 
 
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 9020 
 
 9022 
 
 9023|9024 
 
 9026 
 
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 9 
 
 9463 9464 
 
 9465 9466 
 
 9467 
 
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 10 
 
 9.999027 
 
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 9033 
 
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 49 
 
 10 
 
 9.999469 
 
 9470 
 
 9471 9472 
 
 9473 
 
 9474 
 
 49 
 
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 9039 
 
 9040 
 
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 9479 
 
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 48 
 
 12 
 
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 47 
 
 12 
 
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 47 
 
 i3 
 
 9053 
 
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 9055 
 
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 9o58 
 
 9059 
 
 46 
 
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 9487 9488 
 
 9489 9490 
 
 9491 
 
 9492 
 
 46 
 
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 9061 
 
 9062 
 
 9064 
 
 9065 
 
 9066 
 
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 45 
 
 i4 
 
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 9495 
 
 9496 9497 
 
 9498 
 
 9499 
 
 45 
 
 i5 
 
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 9075 
 
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 44 
 
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 9500 
 
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 95o4 
 
 95o5 
 
 44 
 
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 16 
 
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 9507 
 
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 9510 
 
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 9087 
 
 9088 
 
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 9091 
 
 9092 
 
 42 
 
 17 
 
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 95i3 
 
 95i4 95i5 
 
 95i6 
 
 9 ,7 
 
 42 
 
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 9097 
 
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 9099 
 
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 18 
 
 9518 
 
 9519 
 
 9520 9521 
 
 9522 
 
 9523 
 
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 9109 
 
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 19 
 
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 9117 
 
 39 
 
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 9.999529 
 
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 9533 
 
 9534 
 
 39 
 
 21 
 
 9118 
 
 9120 
 
 9121 
 
 9122 
 
 9124 
 
 9125 
 
 38 
 
 21 
 
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 22 
 
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 36 
 
 23 
 
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 25 
 
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 25 
 
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 9560 9561 
 
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 34 
 
 26 
 
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 26 
 
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 28 
 
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 29 
 
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 9198 
 
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 9202 
 
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 28 
 
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 9593 
 
 9594 9595 
 
 9596 
 
 9597 
 
 28 
 
 32 
 
 9205 
 
 9206 
 
 9207 
 
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 9210 
 
 921 1 
 
 27 
 
 32 
 
 9597 
 
 9598 
 
 9599 9600 
 
 9601 
 
 9602 
 
 27 
 
 33 
 
 9212 
 
 9213 
 
 9215 
 
 9216 
 
 9217 
 
 9219 
 
 26 
 
 33 
 
 9603 
 
 9604 
 
 9605 9606 
 
 9606 
 
 9607 
 
 26 
 
 34 
 
 9220 
 
 9221 
 
 9222 
 
 9224 
 
 9225 
 
 9226 
 
 25 
 
 34 
 
 9608 
 
 9609 
 
 9610 961 1 
 
 9612 
 
 9613 
 
 25 
 
 35 
 
 9227 
 
 9229 
 
 9230 
 
 9231 
 
 9232 
 
 9234 
 
 24 '35 
 
 9614 
 
 9614 
 
 9615 
 
 9616 
 
 9617 
 
 9618 
 
 24 
 
 36 
 
 9235 
 
 9236 
 
 9237 
 
 9239 
 
 9240 
 
 9241 
 
 23 
 
 36 
 
 9619 
 
 9620 
 
 9621 
 
 9622 
 
 9622 
 
 9623 
 
 23 
 
 37 
 
 9242 
 
 9244 
 
 9245 
 
 9246 
 
 9247 
 
 9249 
 
 22 
 
 37 
 
 9624 
 
 9625 
 
 9626 
 
 9627 
 
 9628 
 
 9629 
 
 22 
 
 38 
 
 9250 
 
 9251 
 
 9252 
 
 9254 
 
 9255 
 
 9256 
 
 21 
 
 38 
 
 9629 
 
 9630 
 
 9631 
 
 9632 
 
 9633 
 
 9634 
 
 21 
 
 39 
 
 9257 
 
 9258 
 
 9260 
 
 9261 
 
 9262 
 
 9263 
 
 20 
 
 39 
 
 9635 
 
 9635 
 
 9636 
 
 9637 
 
 9638 
 
 9639 
 
 20 
 
 4o 
 
 9.999265 
 
 9266 
 
 9267 
 
 9268 
 
 9270 
 
 9271 
 
 19 
 
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 9.999640 
 
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 9642 
 
 9643 
 
 9644 19 
 
 4i 
 
 9272 
 
 9273 
 
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 18 
 
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 42 
 
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 42 
 
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 43 
 
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 9289 9290 
 
 9291 
 
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 16 
 
 43 
 
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 44 
 
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 44 
 
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 45 
 
 9301 
 
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 46 
 
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 9310 9312 
 
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 93i4 
 
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 93i6 
 
 9318 9319 
 
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 12 
 
 47 
 
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 96779677 
 
 9678 
 
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 12 
 
 48 
 
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 9325 9326 
 
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 1 1 
 
 48 
 
 9680 
 
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 49 
 
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 49 
 
 9685 
 
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 9688 
 
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 10 
 
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 9.999336 
 
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 9.999689 
 
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 9691 9692 
 
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 9 
 
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 8 
 
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 9694 9695 
 
 9696 9697 9697 
 9700 9701 9702 
 
 9698 
 
 8 
 
 52 
 
 9350 
 
 9351 93539354 
 
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 7 
 
 52 
 
 9699 9700 
 
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 53 
 
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 6 
 
 53 
 
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 9705 9706 
 
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 6 
 
 54 
 
 9364 
 
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 54 
 
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 55 
 
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 56 
 
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 56 
 
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 57 
 
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 9723 9724 
 
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 2 
 
 58 
 
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 58 
 
 9726 
 
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 97289729 
 
 9729 
 
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 I 
 
 59 
 
 9398 93999400 9401 
 
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 94o3 
 
 
 
 59 
 
 9731 
 
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 60" 50" 1 40" 1 30" 
 
 20" 
 
 10" 
 
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 40" 1 30" 
 
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 Co-sine of 3 Degrees. 
 
 Co-sine of 2 Degrees. 
 
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 Logarithmic 
 
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 f 87 Deg 
 
 
 111 
 
 d 
 
 Tangent of 86 Degrees. 
 
 
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 56 
 
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 1 1 .290382 
 
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 43 
 
 16 
 
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 17 
 
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 17 
 
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 9317 
 
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 39 
 
 21 
 
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 38 
 
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 38 
 
 22 
 
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 37 
 
 22 
 
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 7770 
 
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 37 
 
 23 
 
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 36 
 
 23 
 
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 36 
 
 24 
 
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 2257 
 
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 35 
 
 24 
 
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 35 
 
 25 
 
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 34 
 
 25 
 
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 26 
 
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 33 
 
 26 
 
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 27 
 
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 27 
 
 33 
 
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 26 
 
 33 
 
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 26 
 
 34 
 
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 365i 
 
 25 
 
 34 
 
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 2654 
 
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 365o 
 
 4i49 
 
 25 
 
 35 
 
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 4359 
 
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 5423 
 
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 35 
 
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 24 
 
 36 
 
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 23 
 
 36 
 
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 9675 
 
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 23 
 
 37 
 
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 8988 
 
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 22 
 
 37 
 
 11.380687 
 
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 22 
 
 38 
 
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 1861 
 
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 38 
 
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 4760 
 
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 5785 
 
 6298 
 
 21 
 
 39 
 
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 3667 
 
 4029 
 
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 39 
 
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 20 
 
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 19 
 
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 18 
 
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 3544 
 
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 5637 
 
 18 
 
 42 
 
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 9495 
 
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 17 
 
 42 
 
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 8795 
 
 17 
 
 43 
 
 1 1 .24i332 
 
 1700 
 
 2069 
 
 2438 
 
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 16 
 
 43 
 
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 1444 
 
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 16 
 
 44 
 
 3547 
 
 3917 
 
 4288 
 
 4659 
 
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 5401 
 
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 44 
 
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 3575 
 
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 4645 
 
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 45 
 
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 65i8 
 
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 7264 
 
 7637 
 
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 45 
 
 57.7 
 
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 46 
 
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 46 
 
 8949 
 
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 47 
 
 1 1 .250260 
 
 o636 
 
 1012 
 
 i389 
 
 1766 
 
 2143 
 
 12 
 
 47 
 
 II .4l2205 
 
 2751 
 
 3296 
 
 3843 
 
 4390 
 
 4938 
 
 12 
 
 48 
 
 2521 
 
 2899 
 
 3277 
 
 3656 
 
 4o34 
 
 44i4 
 
 1 1 
 
 48 
 
 5486 
 
 6o36 
 
 6586 
 
 7 1 36 
 
 7688 
 
 8240 
 
 iJ 
 
 49 
 
 4793 
 
 5173 
 
 5553 
 
 5934 
 
 63i5 
 
 6696 
 
 10 
 
 49 
 
 8792 
 
 9346 
 
 9900 
 
 .455 
 
 lOlO 
 
 i566 
 
 10 
 
 5o 
 
 7078 
 
 7460 
 
 7842 
 
 8224 
 
 8607 
 
 8991 
 
 9 
 
 5o 
 
 1 1 .422123 
 
 2681 
 
 324o 
 
 3799 
 
 4358 
 
 4919 
 
 9 
 
 5i 
 
 9374 
 
 9758 
 
 .142 
 
 .527 
 
 .912 
 
 1297 
 
 8 
 
 5i 
 
 5480 
 
 6042 
 
 66o5 
 
 7i6» 
 
 7733 
 
 8298 
 
 8 
 
 52 
 
 II. 261683 
 
 2069 
 
 2455 
 
 2842 
 
 3229 
 
 36i6 
 
 7 
 
 52 
 
 8863 
 
 9430 
 
 9997 
 
 .565 
 
 ii33 
 
 1702 
 
 7 
 
 53 
 
 4oo4 
 
 4392 
 
 4780 
 
 5169 
 
 5558 
 
 5947 
 
 6 
 
 53 
 
 1 1 .432273 
 
 2843 
 
 34i5 
 
 3987 
 
 456o 
 
 5i34 
 
 6 
 
 54 
 
 6337 
 
 6727 
 
 7117 
 
 7508 
 
 7899 
 
 8291 
 
 5 
 
 54 
 
 5709 
 
 6284 
 
 6860 
 
 7437 
 
 8oi5 
 
 8593 
 
 5 
 
 55 
 
 8683 
 
 9075 
 
 9467 
 
 9860 
 
 .254 
 
 .647 
 
 4 
 
 55 
 
 9172 
 
 9752 
 
 .333 
 
 .915 
 
 '497 
 
 2080 
 
 4 
 
 56 
 
 II .271041 
 
 1435 
 
 i83o 
 
 2225 
 
 2620 
 
 3oi6 
 
 3 
 
 56 
 
 II 442664 
 
 3248 
 
 3834 
 
 4420 
 
 5oo7 
 
 5595 
 
 3 
 
 57 
 
 3412 
 
 3809 
 
 4206 
 
 46o3 
 
 5ooo 
 
 5398 
 
 2 
 
 57 
 
 6i83 
 
 6773 
 
 7363 
 
 7954 
 
 8546 
 
 91 38 
 
 2 
 
 58 
 
 5796 
 
 6195 
 
 6594 
 
 6993 
 
 7393 
 
 7793 
 
 I 
 
 58 
 
 9732 
 
 .326 
 
 .921 
 
 i5i7 
 
 2Il3 
 
 271 1 
 
 1 
 
 59 
 
 8194 
 
 8595 
 
 8996 
 
 93979799 
 
 .202 
 10" 
 
 
 
 59 
 
 [I .453309 
 
 3908 
 
 45o8 
 
 5109 
 
 571 1 
 
 63 1 3 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 20" 
 
 
 60" 
 
 50" 
 
 40" 1 30" 
 
 20" ' 10" 
 
 
 Co-tangent of 3 Degrees. 
 
 Co-tangent of 2 Decrees. 
 
 P, 
 
 ^1" 2" 3" 4" 5" 6" 7" 8" 9" 
 ^ **" ] 3.5 G9 104 138 173 207 242 276 311 
 
 P. 
 
 (1" 2" 3" 4" r," 6' 7" 
 ^^'^ '( 48 97 14o 193 242 290 338 
 
 8" 
 387 4 
 
 9"~ 
 35 
 
112 
 
 LOGAKITHMIC SiNES. 
 
 
 Sine of 88 Dejjrees. 
 
 - 
 
 
 Sine of 89 Degrees. 
 
 
 0" 
 
 1 10" 
 
 20" 
 9737 
 
 .30" 
 
 40" 
 
 50" 
 
 0" 10" 
 
 SO" 
 
 30" 
 
 40" 1 50" 
 
 
 
 9.999735 
 
 973e 
 
 9738 
 
 9738 
 
 9739 
 
 59 
 
 
 
 9.9999349934 
 
 9935 
 
 9935 
 
 9935I9936 
 
 59 
 
 I 
 
 974c 
 
 > 974c 
 
 9741 
 
 9742 
 
 9743 
 
 9743 
 
 58 
 
 1 
 
 9936 9936 
 
 9937 
 
 9937 
 
 99379938 
 
 58 
 
 2 
 
 9744 
 
 9745 
 
 9746 
 
 9746 
 
 9747 
 
 9748 
 
 57 
 
 2 
 
 9938 
 
 9939 
 
 9939 
 
 9939 
 
 9940|994o 
 
 57 
 
 3 
 
 974fc 
 
 9749 
 
 9750 
 
 9751 
 
 9751 
 
 9752 
 
 56 
 
 3 
 
 9940 
 
 9941 
 
 9941 
 
 9941 
 
 9942 
 
 9942 
 
 56 
 
 4 
 
 9753 
 
 9753 
 
 9754 
 
 9755 
 
 9756 
 
 9756 
 
 55 
 
 4 
 
 9942 
 
 9943 
 
 9943 
 
 9943 
 
 9944 
 
 9944 
 
 55 
 
 5 
 
 9757 
 
 9758 
 
 9758 
 
 9759 
 
 9760 
 
 9760 
 
 54 
 
 5 
 
 9944 
 
 9945 
 
 9945 
 
 9945 
 
 9946 
 
 9946 
 
 54 
 
 6 
 
 9761 
 
 9762 
 
 9763 
 
 9763 
 
 9764 
 
 9765 
 
 53 
 
 6 
 
 9946 
 
 9947 
 
 9947 
 
 9947 
 
 9948 
 
 9948 
 
 53 
 
 7 
 
 9765 
 
 9766 
 
 9767 
 
 9767 
 
 9768 
 
 9769 
 
 52 
 
 7 
 
 9948 
 
 9949 
 
 9949 
 
 9949 
 
 9950 
 
 995o 
 
 52 
 
 8 
 
 9769 
 
 9770 
 
 977' 
 
 9772 
 
 9772 
 
 9773 
 
 5i 
 
 8 
 
 9950 
 
 99DI 
 
 9951 
 
 9951 
 
 9952 
 
 9952 
 
 5i 
 
 9 
 
 977^^ 
 
 9774 
 
 9775 
 
 9776 
 
 9776 
 
 9777 
 
 5o 
 
 9 
 
 9952 
 
 9953 
 
 9953 
 
 9953 
 
 9953 9954 
 
 5o 
 
 lO 
 
 9.999778 
 
 9778 
 
 9779 
 
 9780 
 
 9780 
 
 9781 
 
 49 
 
 10 
 
 9.999954 
 
 9954 
 
 9955 
 
 9955 
 
 9955 
 
 9956 
 
 49 
 
 II 
 
 9782 
 
 9782 
 
 9783 
 
 9784 
 
 9784 
 
 9785 
 
 48 
 
 II 
 
 9956 
 
 9956 
 
 9956 
 
 9957 
 
 9957 
 
 9957 
 
 48 
 
 12 
 
 9786 
 
 9786 
 
 9787 
 
 9788 
 
 9788 
 
 9789 
 
 47 
 
 12 
 
 9958 
 
 9958 
 
 9958 
 
 9959 
 
 9959 
 
 9959 
 
 47 
 
 i3 
 
 97909790 
 
 9791 
 
 9792 
 
 9792 
 
 9793 
 
 46 
 
 i3 
 
 9959 
 
 9960 
 
 9960 
 
 9960 
 
 9961 
 
 9961 
 
 46 
 
 i4 
 
 97949794 
 
 9795 
 
 9795 
 
 9796 
 
 9797 
 
 45 
 
 i4 
 
 9961 
 
 9961 
 
 9962 
 
 9962 
 
 9962 
 
 9963 
 
 45 
 
 i5 
 
 9797 
 
 9798 
 
 9799 
 
 9799 
 
 9800 
 
 9801 
 
 44 
 
 i5 
 
 9963 
 
 9963 
 
 9963 
 
 9964 
 
 9964 
 
 9964 
 
 44 
 
 i6 
 
 9801 
 
 9802 
 
 9803 
 
 9803 
 
 9804 
 
 9804 
 
 43 
 
 16 
 
 9964 
 
 9965 
 
 9965 
 
 9965 
 
 9965 
 
 9966 
 
 43 
 
 I? 
 
 9805 
 
 9806 
 
 9806 
 
 9807 
 
 9808 
 
 9808 
 
 42 
 
 17 
 
 9966 
 
 9966 
 
 9967 
 
 9967 
 
 9967 
 
 9967 
 
 42 
 
 i8 
 
 9809 
 
 9809 
 
 9810 
 
 9811 
 
 9811 
 
 9812 
 
 4i 
 
 18 
 
 9968 
 
 9968 
 
 9968 
 
 9968 
 
 9969 
 
 9969 
 
 4i 
 
 19 
 
 9813 
 
 9813 
 
 9814 
 
 9814 
 
 9815 
 
 9816 
 
 4o 
 
 19 
 
 9969 
 
 9969 
 
 9970 
 
 9970 
 
 9970 
 
 9970 
 
 4o 
 
 20 
 
 9.999816 
 
 9817 
 
 9817 
 
 9818 
 
 9819 
 
 9819 
 
 39 
 
 20 
 
 9.999971 
 
 9971 
 
 9971 
 
 997' 
 
 9972 
 
 9972 
 
 39 
 
 21 
 
 9820 
 
 9820 
 
 9821 
 
 9822 
 
 9822 
 
 9823 
 
 38 
 
 21 
 
 9972 
 
 9972 
 
 9973 
 
 9973 
 
 9973 
 
 9973 
 
 38 
 
 22 
 
 9824 
 
 9824 
 
 9825 
 
 9825 
 
 9826 
 
 9827 
 
 37 
 
 22 
 
 9973 
 
 9974 
 
 9974 
 
 9974 
 
 9974 
 
 9975 
 
 37 
 
 23 
 
 9827 
 
 9828 
 
 9828 
 
 9829 
 
 9829 
 
 9830 
 
 36 
 
 23 
 
 9975 
 
 9975 
 
 9975 
 
 9976 
 
 9976 
 
 9976 
 
 36 
 
 24 
 
 983i 
 
 9831 
 
 9832 
 
 9832 
 
 9833 
 
 9834 
 
 35 
 
 24 
 
 9976 
 
 9976 
 
 9977 
 
 9977 
 
 9977 
 
 9977 
 
 35 
 
 25 
 
 9834 
 
 9835 
 
 9835 
 
 9836 
 
 9836 
 
 9837 
 
 34 
 
 25 
 
 9977 
 
 9978 
 
 9978 
 
 9978 
 
 9978 
 
 9979 
 
 34 
 
 26 
 
 9838 
 
 9838 
 
 9839 
 
 9839 
 
 9840 
 
 9840 
 
 33 
 
 26 
 
 9979 
 
 9979 
 
 9979 
 
 9979 
 
 9980 
 
 9980 
 
 33 
 
 27 
 
 9841 
 
 9842 
 
 9842 
 
 9843 
 
 9843 
 
 9844 
 
 32 
 
 27 
 
 9980 
 
 9980 
 
 9980 
 
 9981 
 
 9981 
 
 9981 
 
 32 
 
 28 
 
 9844 
 
 9845 
 
 9846 
 
 9846 
 
 9847 
 
 9847 
 
 3i 
 
 28 
 
 9981 
 
 9981 
 
 9982 
 
 9982 
 
 9982 
 
 9982 3i 
 
 29 
 
 9848 
 
 9848 
 
 9849 
 
 9849 
 
 985o 
 
 985i 
 
 3o 
 
 29 
 
 9982 
 
 9983 
 
 9983 
 
 9983 
 
 9983 
 
 9983 3o 
 
 3o 
 
 9.999851 
 
 9852 
 
 9852 
 
 9853 
 
 9853 
 
 9854 
 
 29 
 
 3o 
 
 9.999983 
 
 9984 
 
 9984 
 
 9984 
 
 9984 
 
 9984 
 
 29 
 
 3i 
 
 y854 
 
 9855 
 
 9856 
 
 9856 
 
 9857 
 
 9857 
 
 28 
 
 3i 
 
 9985 
 
 9985 
 
 9985 
 
 9985 
 
 9985 
 
 9985 
 
 28 
 
 32 
 
 9858 
 
 9858 
 
 9859 
 
 9859 
 
 9860 
 
 9860 
 
 27 
 
 32 
 
 9986 
 
 9986 
 
 9986 
 
 9986 
 
 9986 
 
 9986 
 
 27 
 
 33 
 
 9861 
 
 9861 
 
 9862 
 
 9863 
 
 9863 
 
 9864 
 
 26 
 
 33 
 
 9987 
 
 9987 
 
 9987 
 
 9987 
 
 9987 
 
 9987 
 
 26 
 
 34 
 
 9864 
 
 9865 
 
 9865 
 
 9866 
 
 9866 
 
 9867 
 
 25 
 
 34 
 
 9988 
 
 9988 
 
 9988 
 
 9988 
 
 9988 
 
 9988 
 
 25 
 
 35 
 
 9867 
 
 9868 
 
 9868 
 
 9869 
 
 9869 
 
 9870 
 
 24 
 
 35 
 
 9989 
 
 9989 
 
 9989 
 
 9989 
 
 9989 
 
 9989 
 
 24 
 
 36 
 
 9870 
 
 9871 
 
 9871 
 
 9872 
 
 9872 
 
 9873 
 
 23 
 
 36 
 
 9989 
 
 9990 
 
 9990 
 
 9990 
 
 9990 
 
 9990 
 
 23 
 
 37 
 
 9873 
 
 9874 
 
 9874 
 
 9875 
 
 9875 
 
 9876 
 
 22 
 
 37 
 
 9990 
 
 9990 
 
 999' 
 
 9991 
 
 9991 
 
 9991 
 
 22 
 
 38 
 
 9876 
 
 9877 
 
 9877 
 
 9878 
 
 9878 
 
 9879 
 
 21 
 
 38 
 
 9991 
 
 9991 
 
 9991 
 
 9992 
 
 9992 
 
 9992 
 
 21 
 
 39 
 
 9879 
 
 9880 
 
 9880 
 
 9881 
 
 9881 
 
 9882 
 
 20 
 
 39 
 
 9992 
 
 9992 
 
 9992 
 
 9992 
 
 9992 
 
 9993 
 
 20 
 
 4o 
 
 9.999882 
 
 9883 
 
 9883 
 
 9884 
 
 9884 
 
 9885 
 
 19 
 
 4o 
 
 9.999993 
 
 9993 
 
 9993 
 
 9993 
 
 9993 
 
 9993 
 
 19 
 
 4i 
 
 9885 
 
 9886 
 
 9886 
 
 9887 
 
 9887 
 
 9888 
 
 18 
 
 4i 
 
 9993 
 
 9993 
 
 9994 
 
 9994 
 
 9994 
 
 9994 
 
 18 
 
 42 
 
 9888 
 
 9889 
 
 9889 
 
 9890 
 
 9890 
 
 9891 
 
 17 
 
 42 
 
 9994 
 
 9994 
 
 9994 
 
 9994 
 
 9994 
 
 9995 
 
 17 
 
 43 
 
 9891 
 
 9892 
 
 9892 
 
 9892 
 
 9893 
 
 9893 
 
 16 
 
 43 
 
 9995 
 
 9995 
 
 9995 
 
 9995 
 
 9995 
 
 9995 
 
 16 
 
 44 
 
 9B94 
 
 9894 
 
 9895 
 
 9895 
 
 9896 
 
 9896 
 
 i5 
 
 44 
 
 9995 
 
 9995 
 
 9995 
 
 9996 
 
 9996 
 
 9996 
 
 i5 
 
 45 
 
 9897 
 
 9897 
 
 9898 
 
 9898 
 
 9898 
 
 9899 
 
 i4 
 
 45 
 
 9996 
 
 9996 
 
 9996 
 
 9996 
 
 9996 
 
 9996 
 
 i4 
 
 46 
 
 9899 
 
 9900 
 
 9900 
 
 9901 
 
 9901 
 
 9902 
 
 i3 
 
 46 
 
 9996 
 
 9996 
 
 9997 
 
 9997 
 
 9997 
 
 9997 
 
 i3 
 
 47 
 
 9902 
 
 9903 
 
 9903 
 
 9903 
 
 9904 
 
 9904 
 
 12 
 
 47 
 
 9997 
 
 9997 
 
 9997 
 
 9997 
 
 9997 
 
 9997 
 
 12 
 
 48 
 
 99o5 
 
 9905 
 
 9906 
 
 9906 
 
 9906 
 
 9907 
 
 1 1 
 
 48 
 
 9997 
 
 9997 
 
 9997 
 
 9998 
 
 9998 
 
 9998 
 
 1 1 
 
 49 
 
 9907 
 
 9908 
 
 9908 
 
 9909 
 
 9909 
 
 9910 
 
 10 
 
 49 
 
 9998 
 
 9998 
 
 9998 
 
 9998 
 
 9998 
 
 9998 
 
 10 
 
 5o 
 
 9.999910 
 
 9910 
 
 99" 
 
 99" 
 
 9912 
 
 9912 
 
 9 
 
 5o 
 
 9.999998 
 
 9998 
 
 9998 
 
 9998 
 
 9998 
 
 9998 
 
 9 
 
 5i 
 
 52 
 
 53 
 54 
 
 9913 
 
 9913 
 
 9913 
 
 9914 
 
 9914 
 
 9915 
 
 8 
 
 5i 
 
 9999 
 
 9999 
 
 9999 
 
 9999 
 
 9999 
 
 9999 
 
 8 
 
 99i5 
 
 9915 
 
 9916 
 
 9916 
 
 9917 
 
 9917 
 
 7 
 
 52 
 
 9999 
 
 9999 
 
 9999 
 
 9999 
 
 9999 
 
 9999 
 
 7 
 
 9918 
 
 9918 
 
 9918 
 
 9919 
 
 9919 
 
 9920 
 
 6 
 
 53 
 
 9999 
 
 9999 
 
 9999 
 
 9999 
 
 9999 
 
 9999 
 
 6 
 
 9920 
 
 9920 
 
 9921 
 
 9921 
 
 9922 
 
 9922 
 
 5 
 
 54 
 
 9999 
 
 9999 
 
 9999 
 
 9999 
 
 9999 
 
 .... 
 
 5 
 
 55 
 
 9922 
 
 9923 
 
 9923 
 
 9924 
 
 9924 
 
 9924 
 
 4 
 
 55 
 
 0.000000 
 
 0000 
 
 0000 
 
 0000 
 
 0000 
 
 0000 
 
 4 
 
 56 
 
 9925 
 
 9925 
 
 9926 
 
 9926 
 
 9926 
 
 9927 
 
 3 
 
 56 
 
 0000 
 
 0000 
 
 0000 
 
 0000 
 
 0000 
 
 0000 
 
 3 
 
 57 
 
 9927 
 
 9927 
 
 9928 
 
 9928 
 
 9929 
 
 9929 
 
 2 
 
 57 
 
 0000 
 
 0000 
 
 0000 
 
 0000 
 
 0000 
 
 0000 
 
 2 
 
 58 
 
 99?.q 
 
 9930 
 
 9930 
 
 9931 
 
 9931 
 
 9931 
 
 I 
 
 58 
 
 0000 
 
 0000 
 
 0000 
 
 0000 
 
 0000 
 
 0000 
 
 1 
 
 59 
 
 9932 
 
 9932 
 
 9932 
 
 9933 
 
 9933 
 
 9933 
 
 
 
 59 
 
 0000 
 
 0000 
 
 0000 
 
 0000 
 
 0000 
 
 0000 
 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 6 
 
 
 60" 
 
 SO- 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 Co-sine of 1 Detjrce. 
 
 Co-sine of Decree. 
 
 P.P 
 
 „. j 1" 2" 3" 4" 5" «" 7" 8" 9" 
 '^"'lOO 00 000 1 
 
 p p«rf i 1" 2" 3" 4" 5" 6" 7" 8" 9" 
 
 ^' '^^" /ooooooooo 
 

 
 L 
 
 OGAEITHMIC TaNGENTS. 
 
 
 
 113 
 
 
 1 
 
 T 
 
 angent of 
 
 88 Degree 
 
 !S. 
 
 
 
 p. Part 
 to 1". 
 
 0" 
 
 10" 
 
 30" 
 
 30" 
 
 40" 
 
 50" 
 
 o 
 
 IX. 456916 
 
 II .457520 
 
 II. 458125 
 
 11.458731 
 
 11.459338 
 
 11.459945 
 
 59 
 
 60.6 
 
 I 
 
 46o553 
 
 46ii63 
 
 461773 
 
 462383 
 
 462995 
 
 4636o8 
 
 58 
 
 61. 1 
 
 2 
 
 464221 
 
 464836 
 
 465451 
 
 466067 
 
 46GGS4 
 
 467302 
 
 57 
 
 61.6 
 
 3 
 
 467920 
 
 46854o 
 
 469160 
 
 469782 
 
 470404 
 
 471027 
 
 56 
 
 62.2 
 
 4 
 
 47i65i 
 
 472276 
 
 472902 
 
 473528 
 
 474i56 
 
 474785 
 
 55 
 
 62.7 
 
 5 
 
 475414 
 
 476044 
 
 476676 
 
 477308 
 
 477941 
 
 478575 
 
 54 
 
 63.3 
 
 6 
 
 479210 
 
 479846 
 
 480482 
 
 481 120 
 
 481759 
 
 482398 
 
 53 
 
 63.8 
 
 7 
 
 483o39 
 
 483680 
 
 484323 
 
 484966 
 
 485611 
 
 486256 
 
 52 
 
 64.4 
 
 8 
 
 486902 
 
 487549 
 
 488198 
 
 488847 
 
 489497 
 
 490148 
 
 5i 
 
 65. 
 
 9 
 
 490800 
 
 491453 
 
 492107 
 
 492762 
 
 493418 
 
 494075 
 
 5o 
 
 65.5 
 
 lO 
 
 11.494733 
 
 1 1 .495392 
 
 1 1 .496052 
 
 11.496713 
 
 11.497375 
 
 11.498038 
 
 49 
 
 66.1 
 
 n 
 
 498702 
 
 499367 
 
 5ooo33 
 
 500700 
 
 5oi368 
 
 5o2o37 
 
 48 
 
 66.8 
 
 12 
 
 502707 
 
 503378 
 
 5o4o5i 
 
 504724 
 
 505398 
 
 506073 
 
 47 
 
 67.4 
 
 i3 
 
 506750 
 
 507427 
 
 5o8io6 
 
 508785 
 
 509466 
 
 5ioi48 
 
 46 
 
 68.0 
 
 i4 
 
 5io83o 
 
 5i i5i4 
 
 5 1 2199 
 
 5i2885 
 
 513572 
 
 5i426o 
 
 45 
 
 68.6 
 
 i5 
 
 5i495o 
 
 5i564o 
 
 5i633i 
 
 517024 
 
 517717 
 
 5i84i2 
 
 44 
 
 69.3 
 
 i6 
 
 519108 
 
 519805 
 
 52o5o3 
 
 52I202 
 
 521903 
 
 522604 
 
 43 
 
 70.0 
 
 17 
 
 523307 
 
 524010 
 
 524715 
 
 525421 
 
 526128 
 
 526837 
 
 42 
 
 70.7 
 
 18 
 
 527546 
 
 528257 
 
 528969 
 
 529682 
 
 530396 
 
 53i 1 1 1 
 
 4i 
 
 71.3 
 
 19 
 
 531828 
 
 532545 
 
 533264 
 
 533984 
 
 534705 
 
 535428 
 
 4o 
 
 72.1 
 
 20 
 
 ii.536i5i 
 
 11.536876 
 
 11 .537602 
 
 II.538330 
 
 11.539058 
 
 11.539788 
 
 39 
 
 72.8 
 
 21 
 
 54o5i9 
 
 54i25i 
 
 541984 
 
 542719 
 
 543455 
 
 544192 
 
 38 
 
 73.5 
 
 22 
 
 544930 
 
 545670 
 
 54641 1 
 
 547153 
 
 547896 
 
 548641 
 
 37 
 
 74.3 
 
 23 
 
 549387 
 
 55oi34 
 
 55o883 
 
 55i632 
 
 552384 
 
 553i36 
 
 36 
 
 75.0 
 
 24 
 
 553890 
 
 554645 
 
 555401 
 
 556i59 
 
 556918 
 
 557678 
 
 35 
 
 75.8 
 
 25 
 
 558440 
 
 559203 
 
 559967 
 
 560733 
 
 56i5oo 
 
 562268 
 
 34 
 
 76.6 
 
 26 
 
 563o38 
 
 5638o9 
 
 564581 
 
 565355 
 
 566i3o 
 
 566907 
 
 33 
 
 77.5 
 
 27 
 
 567685 
 
 568464 
 
 569245 
 
 570027 
 
 57081 1 
 
 571596 
 
 32 
 
 78.3 
 
 28 
 
 572382 
 
 573170 
 
 573959 
 
 574750 
 
 575542 
 
 576336 
 
 3i 
 
 79.1 
 
 29 
 
 577131 
 
 577928 
 
 578726 
 
 579525 
 
 58o326 
 
 581128 
 
 3o 
 
 80.0 
 
 3o 
 
 II. 581932 
 
 11.582737 
 
 11.583544 
 
 11.584353 
 
 ii.585i63 
 
 11.535974 
 
 29 
 
 80.9 
 
 3i 
 
 586787 
 
 587601 
 
 588417 
 
 589235 
 
 590054 
 
 590874 
 
 28 
 
 81.8 
 
 32 
 
 591696 
 
 592520 
 
 593345 
 
 594172 
 
 595000 
 
 595830 
 
 27 
 
 , 82.8 
 
 33 
 
 596662 
 
 597495 
 
 598330 
 
 599166 
 
 600004 
 
 600844 
 
 26 
 
 83.7 
 
 34 
 
 6oi685 
 
 602528 
 
 603372 
 
 604218 
 
 6o5o66 
 
 605915 
 
 25 
 
 84.7 
 
 35 
 
 606766 
 
 607619 
 
 608474 
 
 609330 
 
 610187 
 
 611047 
 
 24 
 
 85.7 
 
 36 
 
 611908 
 
 612771 
 
 6i3636 
 
 6i45o2 
 
 615370 
 
 616240 
 
 23 
 
 86.7 
 
 37 
 
 617111 
 
 617985 
 
 618860 
 
 619737 
 
 620615 
 
 621496 
 
 22 
 
 87.8 
 
 38 
 
 622378 
 
 623262 
 
 624147 
 
 625o35 
 
 625924 
 
 626815 
 
 21 
 
 88.8 
 
 39 
 
 627708 
 
 628603 
 
 629500 
 
 63o399 
 
 631299 
 
 63220I 
 
 20 
 
 89.9 
 
 4o 
 
 ii.633io5 
 
 II .634oi2 
 
 11 ,634919 
 
 11.635829 
 
 II. 636741 
 
 11.637655 
 
 19 
 
 91. 1 
 
 4i 
 
 638570 
 
 639488 
 
 64o4o7 
 
 64i329 
 
 642252 
 
 643177 
 
 18 
 
 92.2 
 
 42 
 
 644io5 
 
 645o34 
 
 645965 
 
 646899 
 
 647834 
 
 648771 
 
 17 
 
 93.4 
 
 43 
 
 64971 1 
 
 65o652 
 
 65i595 
 
 652541 
 
 653488 
 
 654438 
 
 16 
 
 94.6 
 
 44 
 
 655390 
 
 656343 
 
 657299 
 
 658257 
 
 659217 
 
 660179 
 
 i5 
 
 95.9 
 
 45 
 
 661144 
 
 662110 
 
 663o79 
 
 664o5o 
 
 665023 
 
 665998 
 
 i4 
 
 97.2 
 
 46 
 
 666975 
 
 667955 
 
 668936 
 
 669920 
 
 670907 
 
 671895 
 
 i3 
 
 98.5 
 
 47 
 
 672886 
 
 673879 
 
 674874 
 
 675871 
 
 676871 
 
 677873 
 
 12 
 
 99,8 
 
 48 
 
 678878 
 
 679885 
 
 680894 
 
 681905 
 
 682919 
 
 683935 
 
 II 
 
 101,3 
 
 49 
 
 684954 
 
 685975 
 
 686998 
 
 688024 
 
 689052 
 
 690083 
 
 10 
 
 102,7 
 
 5o 
 
 II .6911 16 
 
 11 .692151 
 
 11.693189 
 
 11.694230 
 
 11.695273 
 
 11.696318 
 
 9 
 
 104.2 
 
 5i 
 
 697366 
 
 698417 
 
 699470 
 
 700526 
 
 7oi584 
 
 702645 
 
 8 
 
 105.7 
 
 52 
 
 703708 
 
 704774 
 
 7o5843 
 
 706914 
 
 707988 
 
 709065 
 
 7 
 
 107.2 
 
 53 
 
 710144 
 
 711226 
 
 712311 
 
 713398 
 
 714488 
 
 7i558i 
 
 6 
 
 108.9 
 
 54 
 
 716677 
 
 717775 
 
 718876 
 
 719980 
 
 721087 
 
 722196 
 
 5 
 
 no. 5 
 
 55 
 
 723309 
 
 724424 
 
 725542 
 
 726663 
 
 727787 
 
 728914 
 
 4 
 
 112. 2 
 
 56 
 
 730044 
 
 731176 
 
 732312 
 
 733451 
 
 734592 
 
 735737 
 
 3 
 
 114.0 
 
 r 
 
 57 
 
 736885 
 
 738o35 
 
 739189 
 
 74o346 
 
 74i5o6 
 
 742669 
 
 2 
 
 ii5.8 
 
 58 
 
 743835 
 
 745oo4 
 
 746177 
 
 747352 
 
 748531 
 
 749713 
 
 I 
 
 117.7 
 
 59 
 
 750898 
 
 752087 
 
 753279 
 
 754474 
 
 755672 
 
 756874 
 
 
 
 119.7 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 20" 
 
 10" 
 
 d 
 
 
 
 C( 
 
 >taDgent c 
 
 )f 1 Degre 
 
 je. 
 
 
 H 
 
114 
 
 Auxiliary Table for Sines, &c. 
 
 8 
 
 Hi 
 
 2 
 
 3 
 
 a 
 !5 
 
 Degree 
 
 
 
 ■o 
 a 
 
 
 CO 
 
 2 
 a 
 
 1 Degree 
 
 — 1 r 
 
 • 
 
 
 log. sin. A- 
 log. A". 
 
 log. Ian. A- 
 log. A- . 
 
 log. cot. A+ 
 log. A". 
 
 log. sin. A — 
 log. A". 
 
 log. tan. A - 
 log. A". 
 
 log. col. A-)- 
 log. A". 
 
 o' o 
 60 I 
 
 4.685575 
 575 
 
 4.685575 
 575 
 
 i5.3i4425 
 
 425 
 
 60 
 59 
 
 36oo 
 366o 
 
 
 I 
 
 4.685553 
 552 
 
 4.685619 
 620 
 
 i5.3i438i 
 38o 
 
 60 
 59 
 
 120 
 
 2 
 
 575 
 
 575 
 
 425 
 
 58 
 
 3720 
 
 2 
 
 55i 
 
 622 
 
 378 
 
 58 
 
 180 
 
 3 
 
 575 
 575 
 575 
 
 575 
 
 425 
 
 57 
 
 3780 
 
 3 
 
 55i 
 
 623 
 
 377 
 
 57 
 
 24o 
 
 3oo 
 
 4 
 5 
 
 575 
 
 425 
 
 56 
 
 384o 
 
 4 
 
 55o 
 
 625 
 
 375 
 
 56 
 
 575 
 
 425 
 
 55 
 
 3900 
 
 5 
 
 549 
 
 627 
 
 373 
 
 55 
 
 36o 
 
 6 
 
 / 
 
 575 
 
 575 
 
 425 
 
 541 
 
 3960 
 
 6 
 
 548 
 
 628 
 
 372 
 
 54 
 
 420 
 
 7 
 
 8 
 
 575 
 
 575 
 
 425 
 
 53! 
 
 4o20 
 
 7 
 
 547 
 
 63o 
 
 370 
 
 53 
 
 48o 
 
 574 
 
 576 
 
 424 
 
 52 
 
 4o8o 
 
 8 
 
 547 
 
 632 
 
 368 
 
 52 
 
 540 
 
 9 
 10 
 
 574 
 
 576 
 
 424 
 
 5i 
 
 4i4o 
 
 9 
 
 546 
 
 633 
 
 367 
 
 5i 
 
 600 
 
 4.685574 
 
 4.685576 
 
 i5.3i4424 
 
 5o 
 
 4200 
 
 10 
 
 4.685545 
 
 4.685635 
 
 i5.3i4365 
 
 5o 
 
 660 
 
 1 1 
 
 574 
 
 576 
 
 424 
 
 49 
 
 4260 
 
 II 
 
 544 
 
 637 
 
 363 
 
 49 
 
 720 
 
 780 
 84o 
 
 12 
 
 574 
 
 577 
 
 423 
 
 48 
 
 4320 
 
 12 
 
 543 
 
 638 
 
 362 
 
 48 
 
 i3 
 
 574 
 
 577 
 
 423 
 
 47 
 
 438o 
 
 i3 
 
 542 
 
 64o 
 
 36o 
 
 47 
 
 i4 
 
 574 
 
 577 
 
 423 
 
 46 
 
 444o 
 
 i4 
 
 54 1 
 
 642 
 
 358 
 
 46 
 
 900 
 
 960 
 
 1020 
 
 i5 
 
 573 
 
 578 
 
 422 
 
 45 
 
 45oo 
 
 i5 
 
 540 
 
 644 
 
 356 
 
 45 
 
 16 
 
 573 
 
 578 
 
 422 
 
 44 
 
 456o 16 
 
 539 
 
 646 
 
 354 
 
 44 
 
 17 
 
 573 
 
 578 
 
 422 
 
 43 
 
 4620 
 
 17 
 
 539 
 
 647 
 
 353 
 
 48 
 
 1080 
 
 18 
 
 573 
 
 579 
 
 421 
 
 42 
 
 468o 
 
 18 
 
 538 
 
 649 
 
 35i 
 
 42 
 
 I i4o 
 
 19 
 
 20 
 
 573 
 
 579 
 
 421 
 
 4i 
 
 4740 
 
 '9 
 
 537 
 
 65i 
 
 349 
 
 4i 
 
 1200 
 
 4.685572 
 
 4.685580 
 
 i5.3i442o 
 
 4o 
 
 48oo 
 
 20 
 
 4.685536 
 
 4.685653 
 
 i5.3i4347 
 
 40 
 
 1260 
 
 21 
 
 572 
 
 58o 
 
 420 
 
 39 
 
 486o 
 
 21 
 
 535 
 
 655 
 
 345 
 
 39 
 
 1820 
 
 22 
 
 572 
 
 58i 
 
 419 
 
 38 
 
 4920 
 
 22 
 
 534 
 
 657 
 
 343 
 
 38 
 
 i38o 
 
 23 
 
 572 
 
 58i 
 
 419 
 
 37 
 
 4980 
 
 23 
 
 533 
 
 659 
 
 34 1 
 
 37 
 
 i44o 
 
 24 
 
 571 
 
 582 
 
 4i8 
 
 36 
 
 5o4o24 
 
 532 
 
 661 
 
 339 
 
 36 
 
 i5oo 
 
 25 
 
 571 
 
 583 
 
 417 
 
 35 
 
 5ioo 
 
 25 
 
 53i 
 
 663 
 
 337 
 
 35 
 
 i56o 
 
 26 
 
 571 
 
 583 
 
 417 
 
 34 
 
 5 1 60 
 
 26 
 
 53o 
 
 665 
 
 335 
 
 34 
 
 1620 
 
 27 
 
 570 
 
 584 
 
 4i6 
 
 33 
 
 5220 
 
 27 
 
 529 
 
 668 
 
 332 
 
 33 
 
 1680 
 
 28 
 
 670 
 
 584 
 
 4i6 
 
 32 
 
 5280 
 
 28 
 
 527 
 
 670 
 
 33o 
 
 32 
 
 1740 
 
 29 
 
 570 
 
 585 
 
 4i5 
 
 3i 
 
 5340 
 
 29 
 
 526 
 
 672 
 
 328 
 
 3i 
 
 1 800 
 
 3o 
 
 4.685569 
 
 4.685586 
 
 i5.3i44i4 
 
 3o 
 
 5400 
 
 3o 
 
 4.685525 
 
 4.685674 
 
 i5.3i4326 
 
 3o 
 
 i860 
 
 3i 
 
 569 
 
 587 
 
 4i3 
 
 29 
 
 546o 
 
 3i 
 
 524 
 
 676 
 
 324 
 
 29 
 
 1920 
 
 32 
 
 569 
 
 587 
 
 4i3 
 
 28 
 
 5520 
 
 32 
 
 523 
 
 679 
 
 321 
 
 28 
 
 1980 
 
 33 
 
 568 
 
 588 
 
 4l2 
 
 27 
 
 558o 
 
 33 
 
 522 
 
 681 
 
 319 
 
 27 
 
 2o4o 
 
 34 
 
 568 
 
 589 
 
 4ii 
 
 26 
 
 564o 
 
 34 
 
 521 
 
 683 
 
 3i7 
 
 26 
 
 2100 
 
 35 
 
 567 
 
 590 
 
 4io 
 
 25 
 
 5700 
 
 35 
 
 520 
 
 685 
 
 3i5 
 
 25 
 
 2160 
 
 36 
 
 667 
 
 691 
 
 409 
 
 24 
 
 5760 
 
 36 
 
 5i8 
 
 688 
 
 3l2 
 
 24 
 
 2220 
 
 37 566 
 
 592 
 
 4o8 
 
 23 
 
 5820 
 
 37 
 
 517 
 
 6go 
 
 3io 
 
 23 
 
 2280 
 
 38 
 
 566 
 
 593 
 
 407 
 
 22 
 
 588o 
 
 38 
 
 5i6 
 
 693 
 
 307 
 
 22 
 
 234o 
 
 39 
 
 566 
 
 593 
 
 407 
 
 21 
 
 5940 
 
 39 
 
 5i5 
 
 695 
 
 3o5 
 
 21 
 
 2400 
 
 4o 
 
 4.685565 
 
 4.685594 
 
 i5.3i44o6 
 
 20 
 
 6000 
 
 4o 
 
 4.6855i4 
 
 4.685697 
 
 i5.3i43o3 
 
 20 
 
 2460 
 
 4i 
 
 565 
 
 595 
 
 4o5 
 
 ^9 
 
 6060 
 
 4i 
 
 5l2 
 
 700 
 
 3oo 
 
 19 
 
 2520 
 
 42 
 
 564 
 
 596 
 
 4o4 
 
 18 
 
 6120 
 
 42 
 
 5ii 
 
 702 
 
 298 
 
 j8 
 
 258o 
 
 43 
 
 564 
 
 598 
 
 402 
 
 >7 
 
 6180 
 
 43 
 
 5io 
 
 7o5 
 
 295 
 
 17 
 
 264o 
 
 44 
 
 563 
 
 599 
 
 4oi 
 
 16 
 
 1 6240 
 
 44 
 
 509 
 
 707 
 
 293 
 
 16 
 
 2700 
 
 45 
 
 562 
 
 600 
 
 4oo 
 
 i5 
 
 ;63oo 
 
 45 
 
 5o7 
 
 710 
 
 290 
 
 i5 
 
 2760 
 
 46 
 
 562 
 
 601 
 
 399 
 
 i4 
 
 636o 
 
 46 
 
 5o6 
 
 7i3 
 
 287 
 
 i4 
 
 2820 
 
 47 
 
 56i 
 
 602 
 
 398 
 
 I 3 1; 6420 
 
 47 
 
 5o5 
 
 7i5 
 
 285 
 
 i3 
 
 2880 
 
 48 
 
 56i 
 
 6o3 
 
 397 
 
 12 
 
 648o 
 
 48 
 
 5o3 
 
 718 
 
 282 
 
 12 
 
 2940 
 
 49 
 
 56o 
 
 6o4 
 
 396 
 
 II 
 
 654o 
 
 49 
 
 502 
 
 720 
 
 280 
 
 1 1 
 
 3ooo 
 
 5o 
 
 4.685560 
 
 4.6856o5 
 
 15.314395 
 
 10 
 
 6600 
 
 5o 
 
 4.685501 
 
 4.685723 
 
 i5. 814277 
 
 TO 
 
 3o6o 
 
 5i 
 
 559 
 
 607 
 
 393 
 
 9 
 
 6660 
 
 5i 
 
 499 
 
 726 
 
 274 
 
 9 
 
 3l20 
 
 52 
 
 558 
 
 608 
 
 392 
 
 8 
 
 6720 
 
 52 
 
 498 
 
 729 
 
 271 
 
 8 
 
 3i8o 
 
 53 
 
 558 
 
 609 
 
 391 
 
 7 !: 6780 
 
 53 
 
 497 
 
 73. 
 
 269 
 
 7 
 
 324o 
 
 54 
 
 557 
 
 611 
 
 389 
 
 6^840 
 
 54 
 
 495 
 
 734 
 
 266 
 
 6 
 
 33oo 
 
 55 
 
 556 
 
 612 
 
 388 
 
 5 ;; 6900 
 
 55 
 
 494 
 
 737 
 
 263 
 
 5 
 
 336o 
 
 56 
 
 556 
 
 6i3 
 
 387 
 
 4 1 6960 
 
 56 
 
 492 
 
 740 
 
 260 
 
 4 
 
 3420 
 
 57 
 
 555 
 
 6i5 
 
 385 
 
 3 li 7020 
 
 57 
 
 491 
 
 743 
 
 257 
 
 3 
 
 348g 
 
 58 
 
 554 
 
 616 
 
 384 
 
 2 
 
 1 7080 
 
 58 
 
 490 
 
 745 
 
 255 
 
 2 
 
 354o 
 
 59 
 
 554 
 
 618 
 
 382 
 
 I 
 
 7i4o|59 
 
 488 
 
 748 
 
 252 
 
 I 
 
 
 log. COS. A- 
 
 log. cot. A- 
 
 log. tan. A+ 
 
 IS 
 
 
 log. COS. A- 
 
 log. cot. A — 
 
 log. tan A+ 
 
 m 
 
 
 log. c A". 
 
 log. c. A". 
 
 log. c. A". 
 
 - i 
 
 
 log. c. A". 
 
 log. c. A". 
 
 log. c. A". 
 
 J 3 
 
 a 
 
 i 
 
 
 
 89 Degre 
 
 es. 
 
 i 
 
 
 88 Degrees, 
 

 
 L 
 
 OGAKITHMIC TANGENTS. 
 
 
 
 115 
 
 
 
 Tangent of 
 
 89 Degrees. 
 
 
 59 
 
 p. Part 
 to 1". 
 
 0" 
 
 10" 
 
 30" 
 
 30" 
 
 40" 
 
 50" 
 
 o 
 
 II .758079 
 
 II .759287 
 
 11.760498 
 
 II .761714 
 
 II .762932 
 
 II. 764154 
 
 121 .7 
 123.8 
 
 I 
 
 765379 
 
 766608 
 
 767840 
 
 769076 
 
 77o3i5 
 
 77i558 
 
 58 
 
 2 
 
 772805 
 
 774o55 
 
 775308 
 
 776566 
 
 777826 
 
 779091 
 
 57 
 
 125.9 
 128.1 
 
 3 
 
 780359 
 
 781631 
 
 782907 
 
 784186 
 
 785470 
 
 786757 
 
 56 
 
 4 
 
 788047 
 
 789342 
 
 790641 
 
 791943 
 
 793250 
 
 794560 
 
 55 
 
 i3o.4 
 
 5 
 
 795874 
 
 797192 
 
 7985i5 
 
 799841 
 
 801 171 
 
 8o25o6 
 
 54 
 
 i32.8 
 
 6 
 
 8o3844 
 
 805187 
 
 806534 
 
 807885 
 
 809240 
 
 810600 
 
 53 
 
 135.3 
 
 7 
 
 811964 
 
 8i3332 
 
 814704 
 
 816081 
 
 817462 
 
 818847 
 
 52 
 
 137.9 
 
 8 
 
 820237 
 
 821632 
 
 823o3i 
 
 824434 
 
 825842 
 
 827255 
 
 5i 
 
 i4o.6 
 
 9 
 
 828672 
 
 830094 
 
 83i52o 
 
 832951 
 
 834387 
 
 835828 
 
 5o 
 
 143.4 
 
 lO 
 
 11.837273 
 
 11.838724 
 
 II .840179 
 
 II. 841639 
 
 1 1. 843 1 04 
 
 11.844574 
 
 49 
 
 i46.2 
 
 II 
 
 846o48 
 
 847528 
 
 849013 
 
 85o5o3 
 
 85 1 999 
 
 853499 
 
 48 
 
 149.3 
 
 12 
 
 855oo4 
 
 8565i5 
 
 858o3£ 
 
 859553 
 
 861079 
 
 86261 1 
 
 47 
 
 l52.4 
 
 i3 
 
 864i49 
 
 865692 
 
 867240 
 
 868794 
 
 870354 
 
 871919 
 
 46 
 
 155.7 
 
 i4 
 
 873490 
 
 875067 
 
 876649 
 
 878237 
 
 879831 
 
 88i43i 
 
 45 
 
 159. 1 
 
 i5 
 
 883o37 
 
 884648 
 
 886266 
 
 887890 
 
 889519 
 
 891155 
 
 44 
 
 162.7 
 
 i6 
 
 892797 
 
 894446 
 
 896100 
 
 897761 
 
 899429 
 
 901 1 o3 
 
 43 
 
 166.4 
 
 17 
 
 902783 
 
 904470 
 
 906163 
 
 907863 
 
 909569 
 
 911283 
 
 42 
 
 170.3 
 
 i8 
 
 9i3oo3 
 
 914730 
 
 916464 
 
 918205 
 
 919953 
 
 921707 
 
 4i 
 
 174.4 
 
 19 
 
 923469 
 
 925239 
 
 927015 
 
 928799 
 
 930590 
 
 932388 
 
 4o 
 
 178.7 
 
 20 
 
 II .934194 
 
 11.936008 
 
 1 1 .937829 
 
 11.939658 
 
 1 1. 94 1 494 
 
 11.943338 
 
 39 
 
 i83.3 
 
 21 
 
 945191 
 
 947051 
 
 948919 
 
 950795 
 
 952679 
 
 954572 
 
 38 
 
 188.0 
 
 22 
 
 956473 
 
 958382 
 
 960299 
 
 962225 
 
 964160 
 
 966103 
 
 37 
 
 193.0 
 
 23 
 
 968055 
 
 970016 
 
 971986 
 
 973965 
 
 975952 
 
 977949 
 
 36 
 
 198.3 
 
 24 
 
 979956 
 
 981971 
 
 983996 
 
 986030 
 
 988074 
 
 990128 
 
 35 
 
 203,9 
 
 25 
 
 992191 
 
 994264 
 
 996347 
 
 998440 
 
 12.000543 
 
 12.002657 
 
 34 
 
 209.8 
 
 26 
 
 12.004781 
 
 12.006915 
 
 12.009060 
 
 12.01 I2l5 
 
 OI3382 
 
 015559 
 
 33 
 
 216.2 
 
 27 
 
 017747 
 
 019946 
 
 022l56 
 
 024378 
 
 02661 1 
 
 028855 
 
 32 
 
 222.7 
 
 28 
 
 o3i 1 1 1 
 
 033379 
 
 o35659 
 
 037951 
 
 o4o255 
 
 042572 
 
 3i 
 
 229.8 
 
 29 
 
 044900 
 
 047242 
 
 049596 
 
 051963 
 
 054342 
 
 056735 
 
 3o 
 
 237.3 
 
 3o 
 
 12.059142 
 
 i2.o6i56i 
 
 12.063994 
 
 I 2. 06644 I 
 
 12.068902 
 
 12.071377 
 
 29 
 
 245.4 
 
 3i 
 
 073866 
 
 076369 
 
 078887 
 
 0814I9 
 
 083966 
 
 086529 
 
 28 
 
 254.0 
 
 32 
 
 089106 
 
 091699 
 
 094308 
 
 096932 
 
 099572 
 
 102228 
 
 27 
 
 263.2 
 
 33 
 
 104901 
 
 107590 
 
 110296 
 
 ii3oi9 
 
 115760 
 
 Ii85i7 
 
 26 
 
 273.2 
 
 34 
 
 121292 
 
 i24o85 
 
 126896 
 
 129726 
 
 132574 
 
 1 35440 
 
 25 
 
 283.9 
 
 35 
 
 138326 
 
 r4i23i 
 
 i44i56 
 
 147100 
 
 i5oo65 
 
 i53o5o 
 
 24 
 
 295.4 
 
 36 
 
 i56o56 
 
 159082 
 
 i62i3o 
 
 i65i99 
 
 168290 
 
 171404 
 
 23 
 
 3o8.o 
 
 37 
 
 174540 
 
 177698 
 
 180880 
 
 i84o85 
 
 187314 
 
 190567 
 
 22 
 
 321.7 
 
 38 
 
 193845 
 
 197148 
 
 200476 
 
 2o383o 
 
 207210 
 
 210616 
 
 21 
 
 336.7 
 
 39 
 
 2i4o49 
 
 217510 
 
 220998 
 
 2245i5 
 
 228060 
 
 23i635 
 
 20 
 
 353.1 
 
 4o 
 
 I2.23523g 
 
 12.238873 
 
 12.242538 
 
 12.246235 
 
 12 .249963 
 
 12.253723 
 
 19 
 
 371,2 
 
 4i 
 
 257516 
 
 261342 
 
 265203 
 
 269098 
 
 273028 
 
 276995 
 
 18 
 
 391 .3 
 
 42 
 
 280997 
 
 285o37 
 
 2891 i5 
 
 293232 
 
 297388 
 
 3oi584 
 
 17 
 
 4i3.6 
 
 43 
 
 3o582i 
 
 3ioioo 
 
 3l4422 
 
 318787 
 
 323196 
 
 327650 
 
 16 
 
 438.7 
 
 44 
 
 332i5i 
 
 336698 
 
 341294 
 
 345939 
 
 35o634 
 
 355381 
 
 i5 
 
 467.0 
 
 45 
 
 36oi8o 
 
 365o32 
 
 369940 
 
 374903 
 
 379924 
 
 385oo4 
 
 i4 
 
 499.2 
 
 46 
 
 390143 
 
 395345 
 
 400609 
 
 405938 
 
 4ii333 
 
 416796 
 
 i3 
 
 536.2 
 
 47 
 
 422328 
 
 427932 
 
 4336IO 
 
 439362 
 
 445192 
 
 45 1 100 
 
 12 
 
 579.1 
 
 48 
 
 457091 
 
 463i65 
 
 469325 
 
 475574 
 
 481915 
 
 488349 
 
 II 
 
 629.4 
 
 49 
 
 494880 
 
 5oi5io 
 
 • 508244 
 
 5i5o83 
 
 522o32 
 
 529094 
 
 10 
 
 689.4 
 
 5o 
 
 12.536273 
 
 12.543572' 
 
 12.550996 
 
 12.558549 
 
 12.566236 
 
 12.574061 
 
 9 
 
 
 5i 
 
 5^2o3o 
 
 590148 
 
 598421 
 
 606854 
 
 615454 
 
 624228 
 
 8 
 
 
 52 
 
 633i83 
 
 642327 
 
 651667 
 
 661212 
 
 670972 
 
 680956 
 
 7 
 
 
 53 
 
 691175 
 
 701641 
 
 712365 
 
 723360 
 
 734641 
 
 746223 
 
 6 
 
 
 54 
 
 758122 
 
 770357 
 
 782946 
 
 79591 1 
 
 809275 
 
 823o63 
 
 5 
 
 
 55 
 
 8373o4 
 
 852027 
 
 867267 
 
 883o6i 
 
 899452 
 
 916485 
 
 4 
 
 
 56 
 
 934214 
 
 952697 
 
 972002 
 
 992206 
 
 i3. 013395 
 
 i3. 035671 
 
 3 
 
 
 57 
 
 i3. 059153 
 
 13.083976 
 
 i3.iib3o5 
 
 i3. 138334 
 
 168297 
 
 200482 
 
 2 
 
 
 58 
 
 235244 
 
 273o32 
 
 3i4425 
 
 36oi83 
 
 4ii335 
 
 469327 
 
 I 
 
 
 59 
 
 536274 
 
 6i5455 
 
 712365 
 
 837304 
 
 14.013395 
 
 i4.3i4425 
 
 
 
 d 
 
 
 
 60" 
 
 50" 
 
 40" 
 
 30" 
 
 30" 
 
 10" 
 
 
 
 c< 
 
 )-tangent c 
 
 >f Dogrc 
 
 e. 
 
 
116 
 
 
 
 
 jSatueal feIN 
 
 ES. 
 
 
 
 
 
 3 
 
 0° 
 
 1° 
 
 2° 
 
 3° 
 
 4° 
 
 5° 
 
 6° 
 
 1 
 
 8° 
 
 9° 
 
 
 o 
 
 000000 
 
 017452 
 
 034899 
 
 o52336 
 
 069756 
 
 0S7156 
 
 io452» 
 
 121869 
 
 139173 
 
 156434 
 
 60 
 
 I 
 
 0291 
 
 7743 
 
 5190 
 
 2626 
 
 070047 
 
 7446 
 
 4818 
 
 2i58 
 
 9461 
 
 6722 
 
 li 
 
 2 
 
 o582 
 
 8o34 
 
 5481 
 
 2917 
 
 0337 
 
 7735 
 
 5io7 
 
 2447 
 
 9749 
 
 7009 
 
 58 
 
 3 
 
 0873 
 
 8325 
 
 5772 
 
 3207 
 
 0627 
 
 8025 
 
 5396 
 
 2735 
 
 i4oo37 
 
 7296 
 
 57 
 
 / 
 
 / 
 
 Ii64 
 
 8616 
 
 6062 
 
 3498 
 
 0917 
 
 83i5 
 
 5686 
 
 3o24 
 
 o325 
 
 7584 
 
 56 
 
 •4 
 
 5 
 
 1454 
 
 8907 
 
 6353 
 
 3788 
 
 1207 
 
 86o5 
 
 5975 
 
 33i3 
 
 o6i3 
 
 7871 
 
 55 
 
 6 
 
 !745 
 
 9197 
 
 6644 
 
 4079 
 
 i497 
 
 8894 
 
 6264 
 
 36oi 
 
 0901 
 
 8i58 
 
 54 
 
 7 
 
 8 
 
 2o36 
 
 9488 
 
 6934 
 
 4369 
 
 1788 
 
 9184 
 
 6553 
 
 3890 
 
 1189 
 
 8445 
 
 53 
 
 2327 
 
 9779 
 
 7225 
 
 4660 
 
 2078 
 
 9474 
 
 6843 
 
 4179 
 
 i477 
 
 8732 
 
 52 
 
 9 
 
 I 
 
 2618 
 
 020070 
 
 75i6 
 
 4950 
 
 2368 
 
 9763 
 
 7i32 
 
 4467 
 
 1765 
 
 9020 
 
 5i 
 
 002Q0q 
 
 o2o36i 
 
 037806 
 
 o5524i 
 
 072658 
 
 090053 
 
 107421 
 
 124756 
 
 i42o53 
 
 159307 
 
 5o 
 
 1 1 
 
 7 7 
 
 3200 
 
 o652 
 
 8097 
 
 553i 
 
 2948 
 
 o343 
 
 7710 
 
 5o45 
 
 234l 
 
 9594 
 
 49 
 
 12 
 
 3491 
 
 0942 
 
 8388 
 
 5822 
 
 3238 
 
 o633 
 
 7999 
 
 5333 
 
 2629 
 
 9881 
 
 48 
 
 i3 
 
 3782 
 
 1233 
 
 8678 
 
 6112 
 
 3528 
 
 0922 
 
 8289 
 
 5622 
 
 2917 
 
 160168 
 
 47 
 
 i4 
 
 4072 
 
 i524 
 
 8969 
 
 64o2 
 
 38i8 
 
 1212 
 
 8578 
 
 5910 
 
 32o5 
 
 0455 
 
 46 
 
 i5 
 
 4363 
 
 i8i5 
 
 9260 
 
 6693 
 
 4io8 
 
 i5o2 
 
 8867 
 
 6199 
 
 3493 
 
 0743 
 
 45 
 
 i6 
 
 4654 
 
 2106 
 
 9550 
 
 6983 
 
 4399 
 
 I79I 
 
 9i56 
 
 6488 
 
 3780 
 
 io3o 
 
 44 
 
 17 
 
 4945 
 
 2397 
 
 9841 
 
 7274 
 
 4689 
 
 2081 
 
 9445 
 
 6776 
 
 4068 
 
 i3i7 
 
 43 
 
 18 
 
 5236 
 
 2687 
 
 o4oi32 
 
 7564 
 
 4979 
 
 2371 
 
 9734 
 
 7065 
 
 4356 
 
 1604 
 
 42 
 
 19 
 
 5527 
 
 2978 
 
 o422 
 
 7854 
 
 5269 
 
 2660 
 
 II0023 
 
 7353 
 
 4644 
 
 1891 
 
 4i 
 
 20 
 
 oo5Si8 
 
 023269 
 
 040713 
 
 o58i45 075559 
 
 092950 
 
 iio3i3 
 
 127642 
 
 144932 
 
 162178 
 
 4o 
 
 21 
 
 6109 
 
 356o 
 
 ioo4 
 
 8435 
 
 5849 
 
 3239 
 
 0602 
 
 7930 
 
 5220 
 
 2465 
 
 39 
 
 22 
 
 6399 
 
 385i 
 
 1294 
 
 8726 
 
 6139 
 
 3529 
 
 0891 
 
 8219 
 
 5507 
 
 2752 
 
 38 
 
 23 
 
 6690 
 
 4i4i 
 
 i585 
 
 9016 
 
 6429 
 
 3819 
 
 1180 
 
 85o7 
 
 5795 
 
 3o39 
 
 37 
 
 24 
 
 6981 
 
 4432 
 
 1876 
 
 9306 
 
 6719 
 
 4io8 
 
 1469 
 
 8796 
 
 6o83 
 
 3326 
 
 36 
 
 25 
 
 7272 
 
 4723 
 
 2166 
 
 9597 
 
 7009 
 
 4398 
 
 1758 
 
 9084 
 
 6371 
 
 36i3 
 
 35 
 
 26 
 
 7563 
 
 5oi4 
 
 2457 
 
 9887 
 
 7299 
 
 4687 
 
 2047 
 
 9373 
 
 6659 
 
 3900 
 
 34 
 
 27 
 
 7854 
 
 53o5 
 
 2748 
 
 060177 
 
 7589 
 
 4977 
 
 2336 
 
 9661 
 
 6946 
 
 4187 
 
 33 
 
 28 
 
 8145 
 
 5595 
 
 3o38 
 
 o468 
 
 7879 
 
 6267 
 
 2625 
 
 9949 
 
 7234 
 
 4474 
 
 32 
 
 29 
 
 8436 
 
 5886 
 
 3329 
 
 0758 
 
 8169 
 
 5556 
 
 2914 
 
 i3o238 
 
 7522 
 
 4761 
 
 3i 
 
 So 
 
 008727 
 
 026177 
 
 043619 
 
 061049 
 
 078459 
 
 095846 
 
 ii32o3 
 
 i3o526 
 
 147809 
 
 i65o48 
 
 3o 
 
 3i 
 
 9017 
 
 6468 
 
 3910 
 
 1339 
 
 8749 
 
 6i35 
 
 3492 
 
 o8i5 
 
 8097 
 
 5334 
 
 29 
 
 32 
 
 9308 
 
 6759 
 
 4201 
 
 1629 
 
 9039 
 
 6425 
 
 3781 
 
 iio3 
 
 8385 
 
 5621 
 
 28 
 
 33 
 
 9599 
 
 7049 
 
 4491 
 
 1920 
 
 9329 
 
 6714 
 
 4070 
 
 1391 
 
 8672 
 
 5908 
 
 27 
 
 34 
 
 9890 
 
 7340 
 
 4782 
 
 2210 
 
 9619 
 
 7004 
 
 4359 
 
 1680 
 
 8960 
 
 6195 
 
 26 
 
 35 
 
 010181 
 
 7631 
 
 5072 
 
 25oo 
 
 9909 
 
 7293 
 
 4648 
 
 1968 
 
 9248 
 
 6482 
 
 25 
 
 36 
 
 0472 
 
 7922 
 
 5363 
 
 2791 
 
 080199 
 
 7583 
 
 4937 
 
 2256 
 
 9535 
 
 6769 
 
 24 
 
 37 
 
 0763 
 
 8212 
 
 5654 
 
 3o8i 
 
 0489 
 
 7872 
 
 5226 
 
 2545 
 
 9823 
 
 7o56 
 
 23 
 
 38 
 
 io54 
 
 85o3 
 
 5944 
 
 3371 
 
 0779 
 
 8162 
 
 55i5 
 
 2833 
 
 iSoiii 
 
 7342 
 
 22 
 
 39 
 
 1 344 
 
 8794 
 
 6235 
 
 366i 
 
 1069 
 
 845 1 
 
 58o4 
 
 3l2I 
 
 0398 
 
 7629 
 
 21 
 
 4o 
 
 01 i635 
 
 029085 
 
 o46525 
 
 063952 
 
 081359 
 
 098741 
 
 1 16093 
 
 i334io 
 
 i5o686 
 
 167916 
 
 20 
 
 4i 
 
 1926 
 
 9375 
 
 6816 
 
 4242 
 
 1649 
 
 9o3o 
 
 6382 
 
 3698 
 
 0973 
 
 8203 
 
 '9 
 
 42 
 
 2217 
 
 9666 
 
 7106 
 
 4532 
 
 1939 
 
 9320 
 
 6671 
 
 3986 
 
 1261 
 
 8489 
 
 18 
 
 43 
 
 25o8 
 
 9957 
 
 7397 
 
 4823 
 
 2228 
 
 9609 
 
 6960 
 
 4274 
 
 1 548 
 
 8776 
 
 17 
 
 44 
 
 2799 
 
 o3o248 
 
 7688 
 
 5ii3 
 
 25i8 
 
 9899 
 
 7249 
 
 4563 
 
 i836 
 
 9063 
 
 16 
 
 45 
 
 3090 
 
 0539 
 
 7978 
 
 54o3 
 
 2808 
 
 100188 
 
 7537 
 
 485i 
 
 2123 
 
 9350 
 
 i5 
 
 46 
 
 338o 
 
 0829 
 
 8269 
 
 5693 
 
 3098 
 
 0477 
 
 7826 
 
 5i39 
 
 241 1 
 
 9636 
 
 i4 
 
 47 
 
 3671 
 
 1120 
 
 8559 
 
 5984 
 
 3388 
 
 0767 
 
 8ii5 
 
 5427 
 
 2698 
 
 9923 
 
 i3 
 
 48 
 
 3962 
 
 i4ii 
 
 885o 
 
 6274 
 
 3678 
 
 io56 
 
 84o4 
 
 5716 
 
 2986 
 
 170209 
 
 12 
 
 49 
 
 4253 
 
 1702 
 
 9140 
 
 6564 
 
 3968 
 
 1 346 
 
 8693 
 
 6oo4 
 
 3273 
 
 0496 
 
 11 
 
 5o 
 
 014544 
 
 o3x992 
 
 049431 
 
 066854 
 
 o84258 
 
 ioi635 
 
 118982 
 
 136292 
 
 i5356i 
 
 170783 
 
 10 
 
 5i 
 
 4835 
 
 2283 
 
 9721 
 
 7145 
 
 4547 
 
 1924 
 
 92J0 
 
 658o 
 
 3848 
 
 1069 
 
 9 
 
 52 
 
 5i26 
 
 2574 
 
 o5ooi2 
 
 7435 
 
 4837 
 
 22l4 
 
 9559 
 
 6868 
 
 4i36 
 
 i356 
 
 8 
 
 53 
 
 5416 
 
 2864 
 
 o3o2 
 
 7725 
 
 5127 
 
 25o3 
 
 9848 
 
 7i56 
 
 442 3 
 
 1643 
 
 7 
 
 54 
 
 5707 
 
 3i55 
 
 0593 
 
 8oi5 
 
 5417 
 
 2793 
 
 120137 
 
 7445 
 
 4710 
 
 1929 
 
 6 
 
 55 
 
 5998 
 
 3446 
 
 o883 
 
 83o6 
 
 5707 
 
 3082 
 
 0426 
 
 7733 
 
 4998 
 
 2216 
 
 5 
 
 56 
 
 6289 
 
 3737 
 
 1174 
 
 8596 
 
 5997 
 
 3371 
 
 0714 
 
 8021 
 
 5285 
 
 2502 
 
 4 
 
 57 
 
 658o 
 
 4027 
 
 i464 
 
 8886 
 
 6286 
 
 366i 
 
 ioo3 
 
 83o9 
 
 5572 
 
 2789 
 
 3 
 
 58 
 
 6871 
 
 43i8 
 
 1755 
 
 9176 
 
 5576 
 
 3950 
 
 1292 
 
 8597 
 
 586o 
 
 3075 
 
 2 
 
 59 
 
 7162 
 
 4609 
 
 2045 
 
 9466 
 
 6866 
 
 4239 
 
 i58i 
 
 8885 
 
 6147 
 
 3362 
 
 I 
 
 
 89° 
 
 88° 
 
 87° 
 
 86° 
 
 85° 
 
 84° 
 
 83° 
 
 82° 
 
 81° 
 
 80° 
 
 d 
 
 i 
 
 
 
 Natural Co-sine 
 
 s. 
 
 
 
 
 P P 
 
 for/ -85 
 
 4.85 
 
 4.84 
 
 4.84 
 
 4.83 
 
 4.83 
 
 4.82 
 
 4.81 
 
 4.80 
 
 4.78 
 
 

 
 
 
 Natural Tangents. 
 
 
 
 117 
 
 
 0° 
 
 1° 
 
 2° 
 
 3° 
 
 4° 
 
 5° 
 
 6° 
 
 7° 
 
 8° 
 
 9° 
 
 
 O 000000 
 
 017455 
 
 034921 
 
 o524o8 
 
 069927 
 
 087489 
 
 io5io4 
 
 122785 
 
 i4o64i 
 
 i58884 
 
 bo 
 
 I 
 
 0291 
 
 7746 
 
 5212 
 
 2699 
 
 070219 
 
 7782 
 
 5398 
 
 8080 
 
 0887 
 
 8688 
 
 59 
 
 2 
 
 o582 
 
 8037 
 
 55o3 
 
 2991 
 
 o5i I 
 
 8075 
 
 5692 
 
 8875 
 
 ii34 
 
 8981 
 
 68 
 
 3 
 
 0873 
 
 8328 
 
 5795 
 
 3283 
 
 0804 
 
 8368 
 
 5987 
 
 8670 
 
 i43i 
 
 9279 
 
 57 
 
 4 
 
 ii64 
 
 8619 
 
 6086 
 
 3575 
 
 1096 
 
 8661 
 
 6281 
 
 8966 
 
 1728 
 
 9677 
 
 56 
 
 5 
 
 1454 
 
 8910 
 
 6377 
 
 3866 
 
 i389 
 
 8954 
 
 6575 
 
 4261 
 
 2024 
 
 9876 
 
 55 
 
 6 
 
 1745 
 
 9201 
 
 6668 
 
 4i58 
 
 1681 
 
 9248 
 
 6869 
 
 4557 
 
 2321 
 
 160174 
 
 54 
 
 7 
 
 2o36 
 
 9492 
 
 6960 
 
 445o 
 
 1973 
 
 9541 
 
 7163 
 
 4852 
 
 2618 
 
 0472 
 
 53 
 
 8 
 
 2327 
 
 9783 
 
 725i 
 
 4742 
 
 2266 
 
 9834 
 
 7458 
 
 5i47 
 
 2916 
 
 0771 
 
 52 
 
 9 
 
 2618 
 
 020074 
 
 7542 
 
 5o33 
 
 2558 
 
 090127 
 
 7752 
 
 5448 
 
 8212 
 
 1069 
 
 5i 
 
 10 
 
 002909 
 
 020365 
 
 037834 
 
 o55325 
 
 072851 
 
 090421 
 
 io8o46 
 
 125788 
 
 i436o8 
 
 161868 
 
 60 
 
 1 1 
 
 3200 
 
 o656 
 
 8125 
 
 5617 
 
 3i43 
 
 0714 
 
 834o 
 
 6o34 
 
 88o5 
 
 1666 
 
 49 
 
 12 
 
 3491 
 
 0947 
 
 84i6 
 
 5909 
 
 3435 
 
 1007 
 
 8635 
 
 6829 
 
 4l02 
 
 1966 
 
 48 
 
 i3 
 
 3782 
 
 1238 
 
 8707 
 
 6200 
 
 3728 
 
 i3oo 
 
 8929 
 
 6625 
 
 4899 
 
 2263 
 
 4? 
 
 i4 
 
 4072 
 
 1529 
 
 8999 
 
 6492 
 
 4020 
 
 1594 
 
 9228 
 
 6920 
 
 4696 
 
 2662 
 
 46 
 
 i5 
 
 4363 
 
 1820 
 
 9290 
 
 6784 
 
 43i3 
 
 1887 
 
 9518 
 
 7216 
 
 4998 
 
 2860 
 
 45 
 
 i6 
 
 4654 
 
 211 1 
 
 9581 
 
 7076 
 
 46o5 
 
 2180 
 
 9812 
 
 7612 
 
 6290 
 
 8169 
 
 44 
 
 17 
 
 4945 
 
 2402 
 
 9S73 
 
 7368 
 
 4898 
 
 2474 
 
 1 10107 
 
 7807 
 
 6687 
 
 8458 
 
 43 
 
 18 
 
 5236 
 
 2693 
 
 o4oi64 
 
 7660 
 
 5190 
 
 2767 
 
 o4oi 
 
 8io3 
 
 5884 
 
 3766 
 
 42 
 
 19 
 
 5527 
 
 2984 
 
 o456 
 
 7951 
 
 5483 
 
 3o6i 
 
 0695 
 
 8899 
 
 6181 
 
 4o55 
 
 4i 
 
 20 
 
 oo58i8 
 
 023275 
 
 040747 
 
 058243 
 
 075775 
 
 093354 
 
 1 10990 
 
 128694 
 
 146478 
 
 164364 
 
 4o 
 
 21 
 
 6109 
 
 3566 
 
 io38 
 
 8535 
 
 6068 
 
 3647 
 
 1284 
 
 8990 
 
 6776 
 
 4662 
 
 39 
 
 22 
 
 64oo 
 
 3857 
 
 i33o 
 
 8827 
 
 636i 
 
 3941 
 
 1579 
 
 9286 
 
 7078 
 
 4961 
 
 38 
 
 23 
 
 6691 
 
 4i48 
 
 1621 
 
 9119 
 
 6653 
 
 4234 
 
 1873 
 
 9582 
 
 7870 
 
 6260 
 
 37 
 
 24 
 
 6981 
 
 4439 
 
 1912 
 
 9411 
 
 6946 
 
 4528 
 
 2168 
 
 9877 
 
 7667 
 
 5549 
 
 86 
 
 25 
 
 7272 
 
 4731 
 
 2204 
 
 97o3 
 
 7238 
 
 4821 
 
 2463 
 
 180178 
 
 7964 
 
 6848 
 
 85 
 
 26 
 
 7563 
 
 5o22 
 
 2495 
 
 9995 
 
 7531 
 
 5ii5 
 
 2757 
 
 0469 
 
 8262 
 
 6147 
 
 34 
 
 27 
 
 7854 
 
 53i3 
 
 2787 
 
 060287 
 
 7824 
 
 5408 
 
 3o52 
 
 0765 
 
 8669 
 
 6446 
 
 83 
 
 28 
 
 8145 
 
 56o4 
 
 3078 
 
 0579 
 
 8116 
 
 5702 
 
 3346 
 
 1 06 1 
 
 8856 
 
 6745 
 
 32 
 
 29 
 
 8436 
 
 5895 
 
 3370 
 
 0871 
 
 8409 
 
 5995 
 
 364i 
 
 1357 
 
 9154 
 
 7044 
 
 3i 
 
 3o 
 
 00S727 
 
 026186 
 
 o4366i 
 
 o6ii63 
 
 078702 
 
 096289 
 
 118936 
 
 i3i652 
 
 149461 
 
 167343 
 
 3o 
 
 3i 
 
 9018 
 
 6477 
 
 3952 
 
 i455 
 
 8994 
 
 6583 
 
 4280 
 
 1948 
 
 9748 
 
 7642 
 
 29 
 
 32 
 
 9309 
 
 6768 
 
 4244 
 
 1747 
 
 92S7 
 
 6876 
 
 4525 
 
 2244 
 
 i5oo46 
 
 7941 
 
 28 
 
 33 
 
 9600 
 
 7059 
 
 4535 
 
 2039 
 
 9580 
 
 7170 
 
 4820 
 
 254o 
 
 o343 
 
 8240 
 
 27 
 
 34 
 
 9891 
 
 735o 
 
 4827 
 
 233i 
 
 9873 
 
 7464 
 
 5ii4 
 
 2836 
 
 064 1 
 
 8689 
 
 26 
 
 35 
 
 otoiSi 
 
 7641 
 
 5ii8 
 
 2623 
 
 o8oi65 
 
 7757 
 
 5409 
 
 8182 
 
 0988 
 
 8838 
 
 26 
 
 36 
 
 0472 
 
 7933 
 
 5410 
 
 2915 
 
 o458 
 
 8o5i 
 
 5704 
 
 8428 
 
 1286 
 
 9187 
 
 24 
 
 37 
 
 0763 
 
 8224 
 
 5701 
 
 3207 
 
 0751 
 
 8345 
 
 5999 
 
 8725 
 
 i533 
 
 9437 
 
 28 
 
 38 
 
 io54 
 
 85i5 
 
 5993 
 
 3499 
 
 io44 
 
 8638 
 
 6294 
 
 4021 
 
 i83i 
 
 9736 
 
 22 
 
 39 
 
 i345 
 
 8806 
 
 6284 
 
 3791 
 
 i336 
 
 8932 
 
 6588 
 
 4317 
 
 2129 
 
 170086 
 
 21 
 
 4o 
 
 oii636 
 
 029097 
 
 046576 
 
 o64o83 
 
 081629 
 
 099226 
 
 ii6883 
 
 i346i3 
 
 162426 
 
 170334 
 
 20 
 
 4i 
 
 1927 
 
 9388 
 
 6867 
 
 4375 
 
 1922 
 
 9519 
 
 7178 
 
 4909 
 
 2724 
 
 o634 
 
 '9 
 
 42 
 
 2218 
 
 9679 
 
 7159 
 
 4667 
 
 22l5 
 
 9813 
 
 7473 
 
 52o5 
 
 3022 
 
 0988 
 
 18 
 
 43 
 
 2509 
 
 9970 
 
 7450 
 
 4959 
 
 25o8 
 
 100107 
 
 7768 
 
 55o2 
 
 8819 
 
 1233 
 
 17 
 
 44 
 
 2800 
 
 030262 
 
 7742 
 
 525i 
 
 2801 
 
 o4oi 
 
 8o63 
 
 5798 
 
 3617 
 
 1682 
 
 16 
 
 45 
 
 3091 
 
 o553 
 
 8o33 
 
 5543 
 
 3094 
 
 0695 
 
 8358 
 
 6094 
 
 8916 
 
 i83i 
 
 16 
 
 46 
 
 3382 
 
 0844 
 
 8325 
 
 5836 
 
 3386 
 
 0989 
 
 8653 
 
 6890 
 
 42 1 3 
 
 2181 
 
 i4 
 
 47 
 
 3673 
 
 1 135 
 
 8617 
 
 6128 
 
 3679 
 
 1282 
 
 8948 
 
 6687 
 
 45io 
 
 2430 
 
 i3 
 
 48 
 
 3964 
 
 1426 
 
 8908 
 
 6420 
 
 3972 
 
 16.76 
 
 9248 
 
 6988 
 
 4808 
 
 2780 
 
 12 
 
 49 
 5o 
 
 4254 
 
 1717 
 
 0200 
 
 6712 
 
 4265 
 
 1870 
 
 9538 
 
 7279 
 
 5io6 
 
 3o8o 
 
 11 
 
 014545 
 
 032009 
 
 7 
 
 049491 
 
 067004 
 
 084558 
 
 1 02 1 64 
 
 119833 
 
 187676 
 
 i664o4 
 
 178829 
 
 10 
 
 5i 
 
 4836 
 
 23oo 
 
 9783 
 
 7296 
 
 485i 
 
 2458 
 
 120128 
 
 7872 
 
 6702 
 
 8629 
 
 9 
 
 52 
 
 5i27 
 
 2591 
 
 050075 
 
 7589 
 
 5i44 
 
 2762 
 
 0428 
 
 8169 
 
 6000 
 
 8929 
 
 8 
 
 53 
 
 5418 
 
 2882 
 
 o366 
 
 7881 
 
 5437 
 
 3o46 
 
 0718 
 
 8465 
 
 6298 
 
 4228 
 
 7 
 
 54 
 
 5709 
 6000 
 
 8173 
 
 o658 
 
 8173 
 
 5730 
 
 3340 
 
 1018 
 
 8761 
 
 6696 
 
 4528 
 
 6 
 
 55 
 
 3465 
 
 0949 
 
 8465 
 
 6023 
 
 3634 
 
 1808 
 
 9068 
 
 6894 
 
 4828 
 
 5 
 
 56 
 
 6291 
 
 3756 
 
 1241 
 
 8758 
 
 63i6 
 
 8928 
 
 i6o4 
 
 9864 
 
 7192 
 
 6127 
 
 4 
 
 57 
 58 
 
 6582 
 
 4o47 
 
 i533 
 
 9o5o 
 
 6609 
 
 4222 
 
 1899 
 
 9661 
 
 7490 
 
 5427 
 
 3 
 
 6873 
 
 4338 
 
 1824 
 
 9342 
 
 6902 
 
 45i6 
 
 2194 
 
 9948 
 
 7788 
 
 6727 
 
 
 
 2 
 
 59 
 
 7164 
 
 463o 
 
 2116 
 
 g635 
 
 7196 
 
 4810 2489 
 
 i4o244 
 
 8086 
 
 6027 
 
 I 
 
 
 89° 
 
 88° 
 
 87° 
 
 86° 
 
 85° 
 
 84° 83° 
 
 82° 
 
 81° 
 
 80° 
 
 ii 
 
 Natural Co-tangents. 
 
 
 
 
 ^•i^-/-«^ 
 
 4.85 
 
 4.86 
 
 4.87 
 
 4.88 
 
 4.89 
 
 4.91 
 
 4.93 
 
 4.96 
 
 4.98 
 
 
118 
 
 
 
 Natural Sines. 
 
 
 
 
 
 c 
 
 10° 
 
 11° 
 
 12° 
 
 13° 
 
 14° 
 
 15° 
 
 16° 
 
 17° 
 
 18° 
 
 19° 
 
 
 o 
 
 17364s 
 
 190809 
 
 207912 
 
 224951 
 
 241922 
 
 258819 
 
 275637 
 
 292372 
 
 309017 
 
 325568 
 
 60 
 
 1 
 
 3935 
 
 109! 
 
 8196 
 
 5234 
 
 2204 
 
 9100 
 
 5917 
 
 265o 
 
 9294 
 
 5843 
 
 59 
 
 2 
 
 h'2.'2.\ 
 
 i38o 
 
 848 1 
 
 55i8 
 
 2486 
 
 9381 
 
 6197 
 
 2928 
 
 9570 
 
 6118 
 
 58 
 
 3 
 
 45o8 
 
 1666 
 
 8765 
 
 58oi 
 
 2769 
 
 9662 
 
 6476 
 
 3206 
 
 9847 
 
 6393 
 
 57 
 
 4 
 
 470^ 
 
 iq5i 
 
 9o5o 
 
 6o85 
 
 3o5i 
 
 9943 
 
 6756 
 
 3484 
 
 3ioi23 
 
 6668 
 
 56 
 
 5 
 
 5o8o 
 
 7 
 
 2237 
 
 9334 
 
 6368 
 
 3333 
 
 260224 
 
 7035 
 
 3762 
 
 o4oo 
 
 6943 
 
 55 
 
 6 
 
 5367 
 
 2522 
 
 9619 
 
 665i 
 
 36i5 
 
 o5o5 
 
 73i5 
 
 4o4o 
 
 0676 
 
 7218 
 
 54 
 
 7 
 
 5653 
 
 2807 
 
 9903 
 
 6935 
 
 3897 
 
 0785 
 
 7594 
 
 43i8 
 
 0953 
 
 7493 
 
 53 
 
 8 
 
 5939 
 
 3093 
 
 210187 
 
 7218 
 
 4179 
 
 1066 
 
 7874 
 
 4596 
 
 1229 
 
 7768 
 
 52 
 
 9 
 
 10 
 
 622G 
 
 3378 
 
 0472 
 
 75oi 
 
 446i 
 
 i347 
 
 8i53 
 
 4874 
 
 i5o6 
 
 8042 
 
 5i 
 
 I765i2 
 
 193664 
 
 210756 
 
 227784 
 
 244743 
 
 261628 
 
 278432 
 
 295152 
 
 311782 
 
 328317 
 
 5o 
 
 II 
 
 6798 
 
 3949 
 
 io4o 
 
 8068 
 
 5o25 
 
 1908 
 
 8712 
 
 543o 
 
 2069 
 
 8592 
 
 49 
 
 12 
 
 7085 
 
 4234 
 
 i325 
 
 835i 
 
 5307 
 
 2189 
 
 8991 
 
 5708 
 
 2335 
 
 8867 
 
 48 
 
 i3 
 
 7371 
 
 4520 
 
 1609 
 
 8634 
 
 5589 
 
 2470 
 
 9270 
 
 5986 
 
 261 1 
 
 9141 
 
 47 
 
 i4 
 
 7657 
 
 48o5 
 
 1893 
 
 8917 
 
 5871 
 
 2751 
 
 9550 
 
 6264 
 
 2888 
 
 9416 
 
 46 
 
 i5 
 
 7944 
 
 5090 
 
 2178 
 
 9200 
 
 6i53 
 
 3o3i 
 
 9829 
 
 6542 
 
 3i64 
 
 9691 
 
 45 
 
 i6 
 
 823o 
 
 5376 
 
 2462 
 
 9484 
 
 6435 
 
 33i2 
 
 280108 
 
 6819 
 
 3440 
 
 9965 
 
 44 
 
 I? 
 
 85i6 
 
 566i 
 
 2746 
 
 9767 
 
 6717 
 
 3592 
 
 o388 
 
 7097 
 
 3716 
 
 33o24o 
 
 43 
 
 i8 
 
 8802 
 
 5946 
 
 3o3o 
 
 23oo5o 
 
 6999 
 
 3873 
 
 0667 
 
 7375 
 
 3992 
 
 o5i4 
 
 42 
 
 '9 
 
 9088 
 
 623i 
 
 33i5 
 
 o333 
 
 7281 
 
 4i54 
 
 0946 
 
 7653 
 
 4269 
 
 0789 
 
 4i 
 
 20 
 
 179375 
 
 196517 
 
 213599 
 
 23o6i6 
 
 247563 
 
 264434 
 
 281225 
 
 297930 
 
 3i4545 
 
 33io63 
 
 4o 
 
 21 
 
 9661 
 
 6802 
 
 3883 
 
 0899 
 
 7845 
 
 47i5 
 
 i5o4 
 
 8208 
 
 4821 
 
 i338 
 
 39 
 
 22 
 
 9947 
 
 7087 
 
 4167 
 
 1182 
 
 8126 
 
 4995 
 
 1783 
 
 8486 
 
 5097 
 
 1612 
 
 38 
 
 23 
 
 180233 
 
 7372 
 
 445 1 
 
 i465 
 
 84o8 
 
 5276 
 
 2062 
 
 8763 
 
 5373 
 
 1887 
 
 37 
 
 24 
 
 o5i9 
 
 7657 
 
 4735 
 
 1748 
 
 8690 
 
 5556 
 
 234i 
 
 9041 
 
 5649 
 
 2161 
 
 36 
 
 25 
 
 o8o5 
 
 7942 
 
 5019 
 
 2o3i 
 
 8972 
 
 5837 
 
 2620 
 
 9318 
 
 5925 
 
 2435 
 
 35 
 
 26 
 
 1091 
 
 8228 
 
 53o3 
 
 23i4 
 
 9253 
 
 61 17 
 
 2900 
 
 9596 
 
 6201 
 
 2710 
 
 34 
 
 27 
 
 1377 
 
 85i3 
 
 5588 
 
 2597 
 
 9535 
 
 6397 
 
 3179 
 
 9873 
 
 6477 
 
 2984 
 
 33 
 
 28 
 
 i663 
 
 8798 
 
 5872 
 
 2880 
 
 9817 
 
 6678 
 
 3457 
 
 3ooi5i 
 
 6753 
 
 3258 
 
 32 
 
 29 
 
 1950 
 
 9083 
 
 6i56 
 
 3i63 
 
 250098 
 
 6958 
 
 3736 
 
 0428 
 
 7029 
 
 3533 
 
 3i 
 
 3o 
 
 182236 
 
 199368 
 
 2i644o 
 
 233445 
 
 25o38o 
 
 267238 
 
 284oi5 
 
 300706 
 
 3i73o5 
 
 333807 
 
 3o 
 
 3i 
 
 2522 
 
 9653 
 
 6724 
 
 3728 
 
 0662 
 
 7519 
 
 4294 
 
 0983 
 
 7580 
 
 4o8i 
 
 29 
 
 32 
 
 2808 
 
 9938 
 
 7008 
 
 4oii 
 
 0943 
 
 7799 
 
 4573 
 
 1261 
 
 7856 
 
 4355 
 
 28 
 
 33 
 
 3094 
 
 200223 
 
 7292 
 
 4294 
 
 1225 
 
 8079 
 
 4852 
 
 i538 
 
 8i32 
 
 4629 
 
 27 
 
 34 
 
 3379 
 
 o5o8 
 
 7575 
 
 4577 
 
 i5o6 
 
 8359 
 
 5i3i 
 
 i8i5 
 
 84o8 
 
 4903 
 
 26 
 
 35 
 
 3665 
 
 0793 
 
 7859 
 
 4859 
 
 1788 
 
 864o 
 
 54x0 
 
 2093 
 
 8684 
 
 5178 
 
 25 
 
 36 
 
 3951 
 
 1078 
 
 8143 
 
 5i42 
 
 2069 
 
 8920 
 
 5688 
 
 2370 
 
 8959 
 
 5452 
 
 24 
 
 37 
 
 4237 
 
 i363 
 
 8427 
 
 5425 
 
 235i 
 
 9200 
 
 5967 
 
 2647 
 
 9235 
 
 5726 
 
 23 
 
 38 
 
 4523 
 
 1 648 
 
 8711 
 
 5708 
 
 2632 
 
 9480 
 
 6246 
 
 2924 
 
 951 1 
 
 6000 
 
 22 
 
 39 
 
 4809 
 
 1933 
 
 8995 
 
 5990 
 
 2914 
 
 9760 
 
 6525 
 
 3202 
 
 9786 
 
 6274 
 
 21 
 
 4o 
 
 185095 
 
 202218 
 
 219279 
 
 236273 
 
 253195 
 
 270040 
 
 286803 
 
 3o3479 
 
 320062 
 
 336547 
 
 20 
 
 4i 
 
 538i 
 
 25o2 
 
 9562 
 
 6556 
 
 3477 
 
 0320 
 
 7082 
 
 3756 
 
 0337 
 
 6821 
 
 19 
 
 42 
 
 5667 
 
 2787 
 
 9846 
 
 6838 
 
 3758 
 
 0600 
 
 7361 
 
 4o33 
 
 06 1 3 
 
 7095 
 
 18 
 
 43 
 
 5952 
 
 3072 
 
 220l3o 
 
 7121 
 
 4039 
 
 0880 
 
 7639 
 
 43io 
 
 0889 
 
 7369 
 
 17 
 
 44 
 
 6238 
 
 3357 
 
 o4i4 
 
 74o3 
 
 4321 
 
 1 160 
 
 7918 
 
 4587 
 
 ii64 
 
 7643 
 
 16 
 
 45 
 
 6524 
 
 3642 
 
 0697 
 
 7686 
 
 4602 
 
 i44o 
 
 8196 
 
 4864 
 
 1439 
 
 7917 
 
 i5 
 
 46 
 
 6810 
 
 3927 
 
 0981 
 
 7968 
 
 4883 
 
 1720 
 
 8475 
 
 5i4i 
 
 1715 
 
 8190 
 
 i4 
 
 47 
 
 7096 
 
 4211 
 
 1265 
 
 825i 
 
 5i65 
 
 2000 
 
 8753 
 
 5418 
 
 1990 
 
 8464 
 
 i3 
 
 48 
 
 7381 
 
 4496 
 
 1 548 
 
 8533 
 
 5446 
 
 2280 
 
 9o32 
 
 5695 
 
 2266 
 
 8738 
 
 12 
 
 49 
 
 7667 
 
 4781 
 
 i832 
 
 8816 
 
 5727 
 
 256o 
 
 9310 
 
 5972 
 
 254i 
 
 9012 
 
 II 
 
 5o 
 
 187953 
 
 2o5o65 
 
 222116 
 
 239098 
 
 256oo8 
 
 272840 
 
 289589 
 
 306249 
 
 322816 
 
 339285 
 
 10 
 
 5i 
 
 8238 
 
 535o 
 
 2399 
 
 9381 
 
 6289 
 
 3l20 
 
 9867 
 
 6526 
 
 3092 
 
 9559 
 
 9 
 
 52 
 
 8524 
 
 5635 
 
 2683 
 
 9663 
 
 6571 
 
 3400 
 
 290145 
 
 68o3 
 
 3367 
 
 9832 
 
 8 
 
 53 
 
 8810 
 
 5920 
 
 2967 
 
 9946 
 
 6852 
 
 3679 
 
 0424 
 
 7080 
 
 3642 
 
 340106 
 
 7 
 
 54 
 
 9095 
 
 6204 
 
 325o 
 
 240228 
 
 7133 
 
 3959 
 
 0702 
 
 7357 
 
 3917 
 
 o38o 
 
 6 
 
 55 
 
 9381 
 
 6489 
 
 3534 
 
 o5io 
 
 74i4 
 
 4239 
 
 0981 
 
 7633 
 
 4193 
 
 o653 
 
 5 
 
 56 
 
 9667 
 
 6773 
 
 3817 
 
 0793 
 
 7695 
 
 4519 
 
 1259 
 
 7910 
 
 4468 
 
 0927 
 
 4 
 
 57 
 
 9952 
 
 7o58 
 
 4ioi 
 
 1075 
 
 7976 
 
 4798 
 
 i537 
 
 8187 
 
 4743 
 
 1200 
 
 3 
 
 58 
 
 190238 
 
 7343 
 
 4384 
 
 1357 
 
 8257 
 
 5078 
 
 i8i5 
 
 8464 
 
 5oi8 
 
 i473 
 
 2 
 
 59 
 
 o523 
 
 7627 
 
 4668 
 
 i64o 
 
 8538 
 
 5358 
 
 2094 
 
 8740 
 
 5293 
 
 1747 
 
 I 
 
 
 79° 
 
 78° 
 
 77° 
 
 76° 
 
 75° 
 
 74° 
 
 73° 
 
 72° 
 
 71° 
 
 70° 
 
 ii 
 
 Natural Co-sines. 
 
 P.] 
 
 to] 
 
 ;■'/•" 
 
 4.75 
 
 4.73 
 
 4.71 
 
 4.69 
 
 4.67 
 
 4.65 
 
 4.62 
 
 4.60 
 
 4.57 
 
 

 
 
 
 Natueal 
 
 Tangents. 
 
 
 
 119 
 
 
 10° 
 
 11° 
 
 12° 13° 14° 
 
 16° 16° 
 
 17°, 
 
 18° 19° 
 
 
 O 
 
 176327 
 
 194380 
 
 212557 
 
 23o868 2493281 
 
 267949 286745 
 
 3057*31 
 
 324920 34432b 60 
 
 1 
 
 6627 
 
 4682 
 
 2861 
 
 1175 
 
 9637 
 
 8261 
 
 7060 
 
 6049 
 
 524i 4653 59 
 
 2 
 
 6927 
 
 4984 
 
 3i65 
 
 i48i 
 
 9946 
 
 8573 
 
 7375 
 
 6367 
 
 5563 4978 58 
 
 3 
 
 7227 
 
 5286 
 
 3469 
 
 1788 25o255| 
 
 8885 
 
 7690 
 
 6685 
 
 5885 
 
 5304,57 
 
 4 
 
 7527 
 
 5588 
 
 3773 
 
 2094 
 
 o564 
 
 9197 
 
 8oo5 
 
 7003 
 
 6207 
 
 563o56 
 
 5 
 
 7827 
 
 5890 
 
 4077 
 
 2401 
 
 0873 
 
 9509 
 
 8320 
 
 7322 
 
 6528 
 
 5955 55 
 
 6 
 
 8127 
 
 6192 
 
 438i 
 
 2707 
 
 ii83 
 
 9821 
 
 8635 
 
 7640 
 
 685o 
 
 628r54 
 
 7 
 
 8427 
 
 6494 
 
 4686 
 
 3oi4 
 
 1492 
 
 270133 
 
 8950 
 
 7959 
 
 7172 
 
 6607 53 
 
 8 
 
 8727 
 
 6796 
 
 4990 
 
 3321 
 
 1801 
 
 0445 
 
 9266 
 
 8277 
 
 7494 
 
 6933 52 
 
 9 
 
 9028 
 
 7099 
 
 5294 
 
 3627 
 
 21 II 
 
 0757 
 
 9581 
 
 8596 
 
 7817 
 
 7259 5i 
 
 10 
 
 179328 
 
 197401 
 
 215599 
 
 233934 
 
 252420 
 
 271069 289896 
 
 308914 
 
 328139 347585 5o | 
 
 1 1 
 
 9628 
 
 7703 
 
 5903 
 
 424i 
 
 2729 
 
 i382 
 
 29021 1 
 
 9233 
 
 846i 
 
 791 1 49 
 
 12 
 
 9928 
 
 8oo5 
 
 6208 
 
 4548 
 
 3o3g 
 
 1694 
 
 o527 
 
 9552 
 
 8783 
 
 823748 
 
 i3 
 
 180229 
 
 83o8 
 
 65i2 
 
 4855 
 
 3348 
 
 2006 
 
 0842 
 
 9871 
 
 9106 
 
 856347 
 
 i4 
 
 o529 
 
 8610 
 
 6817 
 
 5i62 
 
 3658 
 
 23i9 
 
 ii58 
 
 310189 
 
 9428 
 
 8889^46 
 
 i5 
 
 0829 
 
 8912 
 
 7121 
 
 5469 
 
 3968 
 
 263i 
 
 1473 
 
 o5o8 
 
 975i 
 
 9216 45 
 
 i6 
 
 ii3o 
 
 92i5 
 
 7426 
 
 5776 
 
 4277 
 
 2944 
 
 1789 
 
 0827 
 
 330073 
 
 9542 
 
 44 
 
 ^7 
 
 i43o 
 
 9517 
 
 7731 
 
 6o83 
 
 4587 
 
 3256 
 
 2io5 
 
 ii46 
 
 0396 
 
 986843 
 
 i8 
 
 1731 
 
 9820 
 
 8o35 
 
 6390 
 
 4897 
 
 3569 
 
 2420 
 
 i465 
 
 0718 
 
 350195 42 
 
 19 
 
 203l 
 
 200122 
 
 834o 
 
 6697 
 
 5207 
 
 3882 
 
 2735 
 
 1784 
 
 io4i 
 
 o522 4l 
 
 20 
 
 182332 
 
 200425 
 
 218545 
 
 237004 
 
 2555i6 
 
 274194 
 
 293052 
 
 3i2io4 
 
 33i364 35o848!4o | 
 
 21 
 
 2632 
 
 0727 
 
 8950 
 
 7312 
 
 5826 
 
 4507 
 
 3368 
 
 2423 
 
 1687 
 
 1 175 3g 
 
 22 
 
 2933 
 
 io3o 
 
 9254 
 
 7619 
 
 6t36 
 
 4820 
 
 3684 
 
 2742 
 
 2010 
 
 i5o2 38 
 
 23 
 
 3234 
 
 i333 
 
 9559 
 
 7926 
 
 6446 
 
 5i33 
 
 4ooo 
 
 3062 
 
 2333 
 
 1829 37 
 
 24 
 
 3534 
 
 i635 
 
 9864 
 
 8234 
 
 6756 
 
 5446 
 
 43i6 
 
 338i 
 
 2656 
 
 2156 36 
 
 25 
 
 3835 
 
 1938 
 
 220169 
 
 854i 
 
 7066 
 
 5759 
 
 4632 
 
 3700 
 
 2979 
 
 2483 
 
 35 
 
 26 
 
 4i36 
 
 224t 
 
 0474 
 
 8848 
 
 7377 
 
 6072 
 
 4948 
 
 4020 
 
 33o2 
 
 2810 
 
 34 
 
 27 
 
 4437 
 
 2544 
 
 0779 
 
 9i56 
 
 7687 
 
 6385 
 
 5265 
 
 4340 
 
 3625 
 
 3i37 
 
 33 
 
 28 
 
 4737 
 
 2847 
 
 io84 
 
 9464 
 
 7997 
 
 6698 
 
 558i 
 
 4659 
 
 3949 
 
 3464 
 
 32 
 
 29 
 
 5o3s 
 
 3i49 
 
 1389 
 
 9771 
 
 83o7 
 
 701 1 
 
 5897 4979 
 
 4272 
 
 3791 
 
 3i 
 
 3o 
 
 185339 
 
 203452 
 
 221695 
 
 240079 
 
 2586i8 
 
 277325 
 
 296213. 3i5299 
 
 334595 
 
 354119 
 
 3o 
 
 3i 
 
 564o 
 
 3755 
 
 2000 
 
 o386 
 
 8928 
 
 7638 
 
 653o 
 
 5619 
 
 4919 
 
 4446 
 
 29 
 
 32 
 
 5941 
 
 4o58 
 
 23o5 
 
 0694 
 
 9238 
 
 7951 
 
 6846 
 
 5939 
 
 5242 
 
 4773 
 
 28 
 
 33 
 
 6242 
 
 436i 
 
 2610 
 
 1002 
 
 9549 
 
 8265 
 
 7163 
 
 6258 
 
 5566 
 
 5ioi 
 
 27 
 
 34 
 
 6543 
 
 4664 
 
 2916 
 
 i3io 
 
 9859 
 
 8578 
 
 7480 
 
 6578 
 
 5890 
 
 5429 
 
 26 
 
 35 
 
 6844 
 
 4967 
 
 3221 
 
 1618 
 
 260170 
 
 8891 
 
 7796 
 
 6899 
 
 6213 
 
 5756 
 
 25 
 
 36 
 
 7145 
 
 5271 
 
 3526 
 
 1925 
 
 o48o 
 
 9205 
 
 8ii3 
 
 7219 
 
 6537 
 
 6084 
 
 24 
 
 37 
 
 7446 
 
 5574 
 
 3832 
 
 2233 
 
 0791 
 
 9519 
 
 843o 
 
 7539 
 
 6861 
 
 64 1 2 
 
 23 
 
 38 
 
 7747 
 
 5877 
 
 4i37 
 
 254i 
 
 1 1 02 
 
 9832 
 
 8747 
 
 7859 
 
 7185 
 
 6740 
 
 22 
 
 39 
 
 8o48 
 
 6180 
 
 4443 
 
 2849 
 
 i4i3 
 
 280146 
 
 9063 
 
 8179 
 
 7509 
 
 7068 
 
 21 
 
 4o 
 
 188349 
 
 206483 
 
 224748 
 
 243i57 
 
 261723 
 
 280460 
 
 299380 
 
 3i85oo 
 
 337833 
 
 357396 20 
 
 4i 
 
 865i 
 
 6787 
 
 5o54 
 
 3466 
 
 2o34 
 
 0773 
 
 9697 
 
 8820 
 
 8157 
 
 7724;i9 
 
 42 
 
 8952 
 
 7090 
 
 536o 
 
 3774 
 
 2345 
 
 1087 
 
 3oooi4 
 
 9141 
 
 848 1 
 
 8o52 18 
 
 43 
 
 9253 
 
 7393 
 
 5665 
 
 4082 
 
 2656 
 
 i4oi 
 
 o33i 
 
 9461 
 
 8806 
 
 838o 
 
 17 
 
 44 
 
 9555 
 
 7697 
 
 5971 
 
 4390 
 
 2967 
 
 1715 
 
 0649 
 
 9782 
 
 9i3o 
 
 8708 
 
 16 
 
 45 
 
 q856 
 
 8000 
 
 6277 
 
 4698 
 
 3278 
 
 2029 
 
 0966 
 
 320io3 
 
 9454 
 
 9037:15 
 
 461 iqoi57 
 
 83o4 
 
 6583 
 
 5007 
 
 3589 
 
 2343 
 
 1283 
 
 o423 
 
 9779 
 
 9365 
 
 i4 
 
 47 
 
 0459 
 
 8607 
 
 6889 
 
 53i5 
 
 3900 
 
 2657 
 
 1600 
 
 0744 
 
 34oio3 
 
 9694 
 
 i3 
 
 48 
 
 0760 
 
 8911 
 
 7194 
 
 5624 
 
 421 1 
 
 2971 
 
 1918 
 
 io65 
 
 0428 
 
 360022 
 
 12 
 
 49 
 
 1062 
 
 9214 
 
 7500 
 
 5932 
 
 4523 
 
 3286 
 
 2235 
 
 i386 
 
 0752 
 
 o35i 
 
 II 
 
 ^ 7 
 
 5o 
 
 191363 
 
 209518 
 
 227806 
 
 246241 
 
 264834 
 
 283600 
 
 302553 
 
 321707 
 
 341077 
 
 360679 
 
 10 
 
 5i 
 
 i665 
 
 9822 
 
 8112 
 
 6549 
 
 5i45 
 
 3914 
 
 2870 
 
 2028 
 
 l4o2 
 
 1008 
 
 9 
 
 52 
 
 1966 
 
 210126 
 
 84i8 
 
 6858 
 
 5457 
 
 4229 
 
 3i88 
 
 2349 
 
 1727 
 
 1337 
 
 8 
 
 53 
 
 2268 
 
 0429 
 
 8724 
 
 7166 
 
 6768 
 
 4543 
 
 35o6 
 
 2670 
 
 2o52 
 
 1666 
 
 7 
 
 54 
 
 2570 
 
 0733 
 
 9o3i 
 
 7475 
 
 6079 
 
 4857 
 
 3823 
 
 2991 
 
 2377 
 
 1995 
 
 6 
 
 55 
 
 2871 
 
 1037 
 
 9337 
 
 7784 
 
 6391 
 
 5172 
 
 4i4i 
 
 33i2 
 
 2702 
 
 2324 
 
 5 
 
 56 
 
 3173 
 
 i34i 
 
 9643 
 
 8092 
 
 6701 
 
 5487 
 
 4459 
 
 3634 
 
 3027 
 
 2653 
 
 4 
 
 57 
 
 3475 
 
 1645 
 
 9949 
 
 84oi 
 
 70U 
 
 58oi 
 
 4777 
 
 3955 
 
 3352 
 
 2982 
 
 3 
 
 58 
 
 3777 
 
 1949 
 
 23o255 
 
 8710 
 
 7326 
 
 6116 
 
 6095 
 
 4277 
 
 8677 
 
 33i2 
 
 2 
 
 59 
 
 4078 
 
 y 7 
 
 2253 
 
 o562 
 
 9019 
 
 7637 
 
 643i 
 
 54i3 
 
 4598 
 
 4002 
 
 364 1 
 
 I 
 
 
 V9° 
 
 78° 
 
 770 
 
 76° 
 
 75° 
 
 74° 73° 
 
 72° 
 
 71° 
 
 70° 
 
 i 
 
 Natural Co-tanjjents, 
 
 1: — : 1 
 
 £xV- 
 
 5.o5 
 
 5.09 
 
 5.i3 
 
 5.17 
 
 5.22 
 
 5.27 
 
 5.33 
 
 5.39 
 
 5.46 
 
 
120 
 
 
 
 Natural Sines. 
 
 
 
 
 
 s 
 
 s 
 
 20° 
 
 21° 
 
 T * — 
 
 22° 23° 
 
 24° 
 
 25° 
 
 26° 
 
 27° 
 
 28° 
 
 29° 
 
 o 
 
 342020: 358368: 374607 
 
 390731 
 
 406737I 422618] 438371 1453990 
 
 469472 
 
 48481060 
 
 I 
 
 22q3 
 
 864o 
 
 4876 
 
 0999 
 
 7002 
 
 2882 
 
 8633 
 
 425o 
 
 9728 
 
 5o64 59 
 
 2 
 
 / 
 
 2567 
 
 8911 
 
 5i46 
 
 1267 
 
 7268 
 
 3x45 
 
 8894 
 
 4509 
 
 9985 
 
 53x8,58 
 
 3 
 
 2840 
 
 9183 
 
 54i6 
 
 i534 
 
 7534 
 
 3409 
 
 9155 
 
 4768 
 
 470242 
 
 557357 
 
 4 
 
 3ii3 
 
 9454 
 
 5685 
 
 1802 
 
 7799 
 
 3673 
 
 9417 
 
 5o27 
 
 0499 
 
 5827'56 
 
 5 
 
 3387 
 
 9725 
 
 5955 
 
 2070 
 
 8o65 
 
 3936 
 
 9678 
 
 5286 
 
 0755 
 
 6081 55 
 
 6 
 
 366o 
 
 9997 
 
 6224 
 
 2337 
 
 833o 
 
 4199 
 
 9939 
 
 5545 
 
 1012 
 
 6335 54 
 
 7 
 
 3933 
 
 360268 
 
 6494 
 
 26o5 
 
 8596 
 
 4463 
 
 440200 
 
 58o4 
 
 1268 
 
 659053 
 
 / 
 
 8 
 
 4206 o54o 
 
 6763 
 
 2872 
 
 886x 
 
 4726 
 
 0462 
 
 6o63 
 
 i525 
 
 684452 
 
 9 
 
 lO 
 
 4479 
 
 o8ri 
 
 7033 
 
 3i4o 
 
 9127 
 
 4990 
 
 0723 
 
 6322 
 
 1782 
 
 7098,51 
 
 344752 
 
 361082 
 
 377302 
 
 393407 
 
 409392 
 
 425253 
 
 440984 
 
 456580 
 
 472038 
 
 48735250 
 
 II 
 
 5o25 
 
 i353 
 
 7571 
 
 3675 
 
 9658 
 
 55x6 
 
 1245 
 
 6839 
 
 2294 
 
 7606 49 
 
 12 
 
 5298 
 
 1625 
 
 7841 
 
 3942 
 
 9923 
 
 5779 
 
 i5o6 
 
 7098 
 
 255x 
 
 786048 
 
 i3 
 
 5571 
 
 1896 
 
 8110 
 
 4209 
 
 4x0x88 
 
 6042 
 
 1767 
 
 7357 
 
 2807 
 
 8xx4'47 
 
 i4 
 
 5844 
 
 2167 
 
 8379 
 
 4477 
 
 0454 
 
 63o6 
 
 2028 
 
 7615 
 
 3o63 
 
 8367'46 
 
 i5 
 
 61 17 
 
 2438 
 
 8649 
 
 4744 
 
 07x9 
 
 6569 
 
 2289 
 
 7874 
 
 3320 
 
 862i'45 
 
 i6 
 
 6390 
 
 2709 
 
 8918 
 
 5oxi 
 
 0984 
 
 6832 
 
 255o 
 
 8x33 
 
 3576 
 
 8875:44 
 
 17 
 
 6663 
 
 2980 
 
 9187 
 
 5278 
 
 1249 
 
 7095 
 
 28x0 
 
 8391 
 
 3832 
 
 9x29143 
 
 18 
 
 6936 
 
 325i 
 
 9456 
 
 5546 
 
 i5x4 
 
 7358 
 
 3071 
 
 865o 
 
 4088 
 
 9382^42 
 
 ^9 
 
 7208 
 
 3522 
 
 9725 
 
 58x3 
 
 1779 
 
 7621 
 
 3332 
 
 8908 
 
 4344 
 
 9636*41 
 
 20 
 
 347481 
 
 353793 
 
 379994 
 
 396080 
 
 412045 
 
 427884 
 
 443593 
 
 459x66 
 
 474600 
 
 489890 4o 
 
 21 
 
 7754 
 
 4o64 
 
 380263 
 
 6347 
 
 23X0 
 
 8x47 
 
 3853 
 
 9425 
 
 4856 
 
 490143 39 
 
 22 
 
 8027 
 
 4335 
 
 o532 
 
 66x4 
 
 2575 
 
 84io 
 
 4ii4 
 
 9683 
 
 5XX2 
 
 0397 38 
 
 23 
 
 8299 
 
 46o6 
 
 0801 
 
 688x 
 
 2840 
 
 8672 
 
 4375 
 
 9942 
 
 5368 
 
 o65o 37 
 
 24 
 
 8672 
 
 4877 
 
 1070 
 
 7148 
 
 3xo4 
 
 8935 
 
 4635 
 
 460200 
 
 5624 
 
 0904 36 
 
 25 
 
 8845 
 
 5i48 
 
 1339 
 
 74x5 
 
 3369 
 
 9198 
 
 4896 
 
 o458 
 
 588o 
 
 XX57I35 
 
 26 
 
 9117 
 
 5418 
 
 1608 
 
 7682 
 
 3634 
 
 9461 
 
 5x56 
 
 07x6 
 
 6x36 
 
 i4ii:34 
 
 27 
 
 9390 
 
 5689 
 
 1877 
 
 7949 
 
 3899 
 
 9723 
 
 5417 
 
 0974 
 
 6392 
 
 i664 33 
 
 28 
 
 9662 
 
 5960 
 
 2x46 
 
 82i5 
 
 4x64 
 
 9986 
 
 5677 
 
 1232 
 
 6647 
 
 19x7 
 
 32 
 
 29 
 
 9935 
 
 623i 
 
 24x5 
 
 8482 
 
 4429 
 
 430249 
 
 5937 
 
 I49I 
 
 6903 
 
 2170 
 
 3x 
 
 3o 
 
 350207 
 
 3665oi 
 
 382683 
 
 398749 
 
 414693 
 
 43o5x 1 
 
 446198 
 
 461749 
 
 477x59 
 
 492424 
 
 3o 
 
 3i 
 
 o48o 
 
 6772 
 
 2952 
 
 90x6 
 
 4958 
 
 0774 
 
 6458 
 
 2007 
 
 74x4 
 
 267729 
 
 32 
 
 0752 
 
 7042 
 
 3221 
 
 9283 
 
 5223 
 
 io36 
 
 6718 
 
 2265 
 
 7670 
 
 2930 28 
 
 33 
 
 I025 
 
 73i3 
 
 3490 
 
 9549 
 
 5487 
 
 1299 
 
 6979 
 
 2523 
 
 7925 
 
 3x83 
 
 27 
 
 34 
 
 1297 
 
 7584 
 
 3758 
 
 9816 
 
 5752 
 
 i56x 
 
 7239 
 
 2780 
 
 8i8x 
 
 3436;26 
 
 35 
 
 i569 
 
 7854 
 
 4027 
 
 400082 
 
 60x6 
 
 1823 
 
 7499 
 
 3o38 
 
 8436 
 
 368925 
 
 36 
 
 1842 
 
 8125 
 
 4295 
 
 0349 
 
 628 X 
 
 2086 
 
 7759 
 
 3296 
 
 8692 
 
 3942 
 
 24 
 
 37 
 
 21X4 
 
 8395 
 
 4564 
 
 0616 
 
 6545 
 
 2348 
 
 80x9 
 
 3554 
 
 8947 
 
 4x95 
 
 23 
 
 38 
 
 2386 
 
 8665 
 
 4832 
 
 0882 
 
 68x0 
 
 26x0 
 
 8279 
 
 38x2 
 
 9203 
 
 4448 
 
 22 
 
 39 
 
 2653 
 
 8936 
 
 5xox 
 
 "49 
 
 7074 
 
 2873 
 
 8539 
 
 4069 
 
 9458 
 
 47oo'2i 
 
 4o 
 
 352931 
 
 369206 
 
 385369 
 
 4oi4x5 
 
 4x7338 
 
 433x35 448799 
 
 464327 
 
 479713 
 
 494953 20 
 
 4i 
 
 32o3 
 
 9476 
 
 5638 
 
 i68x 
 
 7603 
 
 3397 
 
 9059 
 
 4584 
 
 9968 
 
 5206 X9 
 
 42 
 
 3475 
 
 9747 
 
 5906 
 
 1948 
 
 7867 
 
 3659 
 
 93x9 
 
 4842 
 
 480223 
 
 5459 18 
 
 43 
 
 3747 
 
 370017 
 
 6174 
 
 22X4 
 
 8i3x 
 
 3921 
 
 9579 
 
 5x00 
 
 0479 
 
 57X1 17 
 
 44 
 
 4019 
 
 0287 
 
 6443 
 
 2480 
 
 8396 
 
 4x83 
 
 9839 
 
 5357 
 
 0734 
 
 5964 16 
 
 45 
 
 4291 
 
 o557 
 
 671 1 
 
 2747 
 
 8660 
 
 4445 
 
 450098 
 
 56x5 
 
 0989 
 
 62x7 i5 
 
 46 
 
 4563 
 
 0828 
 
 6979 
 
 3oi3 
 
 8924 
 
 4707 
 
 o358 
 
 5872 
 
 1244 
 
 6469 
 
 l4 
 
 47 
 
 4835 
 
 1098 
 
 7247 
 
 3279 
 
 9188 
 
 4969 
 
 0618 
 
 6129 
 
 1499 
 
 6722 
 
 i3 
 
 48 
 
 5io7 
 
 1 368 
 
 75i6 
 
 3545 
 
 9452 
 
 523x 
 
 0878 
 
 6387 
 
 1754 
 
 6974 
 
 12 
 
 49 
 
 5379 
 
 i638 
 
 7784 
 
 38ii 
 
 97x6 
 
 5493 
 
 1x37 
 
 6644 
 
 2009 
 
 7226 
 
 XI 
 
 5o 
 
 355651 
 
 371908 
 
 388o52 
 
 404078 
 
 4x9980 
 
 435755 
 
 45x397 
 
 466901 
 
 482263 
 
 497479 
 
 10 
 
 5i 
 
 5923 
 
 2178 
 
 8320 
 
 4344 
 
 420244 
 
 6017 
 
 i656 
 
 7x58 
 
 25x8 
 
 7731 
 
 9 
 
 52 
 
 6194 
 
 2448 
 
 8588 
 
 46x0 
 
 o5o8 
 
 6278 
 
 1916 
 
 74x6 
 
 2773 
 
 7983 
 
 8 
 
 53 
 
 6466 
 
 2718 
 
 8856 
 
 4876 
 
 0772 
 
 654o 
 
 2x75 
 
 7673 
 
 3028 
 
 8236 
 
 7 
 
 54 
 
 6738 
 
 2988 
 
 9124 
 
 5x42 
 
 io36 
 
 6802 
 
 2435 
 
 7930 
 
 3282 
 
 8488 
 
 6 
 
 55 
 
 7010 
 
 3258 
 
 9392 
 
 5408 
 
 i3oo 
 
 7063 
 
 2694 
 
 8x87 
 
 3537 
 
 8740 
 
 5 
 
 56 
 
 7281 
 
 3528 
 
 9660 
 
 5673 
 
 x563 
 
 7325 
 
 2953 
 
 8444 
 
 3792 
 
 8992 
 
 4 
 
 57 
 
 7553 
 
 3797 
 
 9928 
 
 5939 
 
 1827 
 
 7587 
 
 32x3 
 
 870X 
 
 4o46 
 
 9244 
 
 3 
 
 58 
 
 7825 
 
 4067 
 
 390196 
 
 6205 
 
 2091 
 
 7848 
 
 3472 
 
 8958 
 
 43oi 
 
 9496 
 
 2 
 
 59 
 
 8096 
 
 4337 
 
 o463 
 
 6471 
 
 2355 
 
 81x0 
 
 3731 
 
 92x5 
 
 4555 
 
 9748 
 
 1 
 
 
 69° 
 
 68° 
 
 67° 
 
 66° 
 
 65° 
 
 64° 
 
 63° 
 
 62° 
 
 61° 
 
 60° 
 
 l4 
 
 Natural Co-sines. 
 
 P.l 
 
 tol 
 
 \4.54 
 
 4.5i 
 
 4.48 
 
 4.45 
 
 4.41 
 
 4.38 
 
 4.34 
 
 4.3o 
 
 4.26 
 
 4.22 
 
 

 
 
 
 Natural 
 
 Tangents. 
 
 
 
 
 121 
 
 a 
 
 20° 
 
 21° 
 
 22° 
 
 23° 
 
 24° 
 
 25° 
 
 26° 
 
 27° 
 
 28° 
 
 29° 
 
 60 
 
 o 
 
 363970 
 
 383864 404026 
 
 424475 
 
 445229 
 
 4663o8 
 
 487733 
 
 509525 
 
 531709 
 
 554309 
 4689 
 
 I 
 
 43oo 
 
 4198 
 
 4365 
 
 48i8 
 
 5577 
 
 6662 
 
 8093 
 
 9892 
 
 2o83 
 
 59 
 
 58 
 
 2 
 
 4629 
 
 4532 
 
 4703 
 
 5162 
 
 5926 
 
 7016 
 
 8453 
 
 510258 
 
 2456 
 
 5070 
 
 3 
 
 4959 
 
 4866 
 
 5o42 
 
 55o5 
 
 6275 
 
 7371 
 
 88i3 
 
 0625 
 
 2829 
 
 545o 
 
 57 
 
 4 
 
 5288 
 
 5200 
 
 538o 
 
 5849 
 
 6624 
 
 7725 
 
 9174 
 
 0992 
 
 32o3 
 
 583j 
 
 56 
 
 5 
 
 56i8 
 
 5534 
 
 5719 
 
 6192 
 
 6973 
 
 8080 
 
 9534 
 
 1359 
 
 3577 
 
 6212 
 
 55 
 
 6 
 
 5948 
 
 5868 
 
 6o58 
 
 6536 
 
 7322 
 
 8434 
 
 9895 
 
 1726 
 
 3950 
 
 6593 
 
 54 
 
 7 
 
 6278 
 
 6202 
 
 6397 
 
 6880 
 
 7671 
 
 8789 
 
 490256 
 
 2093 
 
 4324 
 
 6974 
 
 53 
 
 8 
 
 6608 
 
 6536 
 
 6736 
 
 7224 
 
 8020 
 
 9144 
 
 0617 
 
 2460 
 
 4698 
 
 7355 
 
 52 
 
 9 
 
 6938 
 
 6871 
 
 7075 
 
 7568 
 
 8369 
 
 9499I 0978 
 
 2828 
 
 5072 
 
 7736 
 
 5i 
 
 10 
 
 367268 
 
 387205 
 
 407414 
 
 427912 
 
 448719 
 
 469854 
 
 491339 
 
 5i3i95 
 
 535446 
 
 558ii8 
 
 5o 
 
 1 1 
 
 7598 
 
 7540 
 
 7753 
 
 8256 
 
 9068 
 
 470209 
 
 1700 
 
 3563 
 
 5821 
 
 8499 
 
 49 
 
 12 
 
 7928 
 
 7874 
 
 8092 
 
 8601 
 
 9418 
 
 o564 
 
 2061 
 
 3930 
 
 6195 
 
 8881 
 
 48 
 
 i3 
 
 8259 
 
 8209 
 
 8432 
 
 8945 
 
 9768 
 
 0920 
 
 2422 
 
 4298 
 
 6570 
 
 9263 
 
 47 
 
 i4 
 
 8589 
 
 8544 
 
 8771 
 
 9289 
 
 45oi 17 
 
 1275 
 
 2784 
 
 4666 
 
 6945 
 
 9645 
 
 46 
 
 i5 
 
 8919 
 
 8879 
 
 91 1 1 
 
 9634 
 
 0467 
 
 i63i 
 
 3i45 
 
 5o34 
 
 7319 
 
 560027 
 
 45 
 
 i6 
 
 9250 
 
 9214 
 
 945o 
 
 9979 
 
 0817 
 
 1986 
 
 3507 
 
 54o2 
 
 7694 
 
 0409 
 
 44 
 
 I? 
 
 9581 
 
 9549 
 
 9790 
 
 43o323 
 
 1 167 
 
 2342 
 
 3869 
 
 5770 
 
 8069 
 
 0791 
 
 43 
 
 i8 
 
 9911 
 
 9884 
 
 4ioi3o 
 
 0668 
 
 i5i7 
 
 2698 
 
 423i 
 
 6i38 
 
 8445 
 
 1 1 74 
 
 42 
 
 19 
 
 370242 
 
 390219 
 
 0470 
 
 ioi3 
 
 1868 
 
 3o54 
 
 4593 
 
 65o7 
 
 8820 
 
 i556 
 
 4i 
 
 20 
 
 370573 
 
 390554 
 
 410810 
 
 43i358 
 
 452218 
 
 473410 
 
 494955 
 
 516875 
 
 539195 
 
 561939 
 
 40 
 
 21 
 
 0904 
 
 0889 
 
 ii5o 
 
 1703 
 
 2568 
 
 3766 
 
 5317 
 
 7244 
 
 9571 
 
 2322 
 
 39 
 
 22 
 
 1235 
 
 1225 
 
 1490 
 
 2o48 
 
 2919 
 
 4l22 
 
 5679 
 
 7613 
 
 9946 
 
 2705 
 
 38 
 
 23 
 
 1 566 
 
 i56o 
 
 i83o 
 
 2393 
 
 3269 
 
 4478 
 
 6o42 
 
 7982 
 
 54o322 
 
 3o88 
 
 37 
 
 24 
 
 1897 
 
 1896 
 
 2170 
 
 2739 
 
 3620 
 
 4835 
 
 64o4 
 
 835i 
 
 0698 
 
 3471 
 
 36 
 
 25 
 
 2228 
 
 223l 
 
 25l t 
 
 3o84 
 
 3971 
 
 5191 
 
 6767 
 
 8720 
 
 1074 
 
 3854 
 
 35 
 
 26 
 
 2559 
 
 2567 
 
 285i 
 
 3430 
 
 4322 
 
 5548 
 
 7i3o 
 
 9089 
 
 i45o 
 
 4238 
 
 34 
 
 27 
 
 2890 
 
 2903 
 
 3192 
 
 3775 
 
 4673 
 
 5905 
 
 7492 
 
 9458 
 
 1826 
 
 4621 
 
 33 
 
 28 
 
 3222 
 
 3239 
 
 3532 
 
 4l2I 
 
 5o24 
 
 6262 
 
 7855 
 
 9828 
 
 2203 
 
 5oo5 
 
 32 
 
 29 
 
 3553 
 
 3574 
 
 3873 
 
 4467 
 
 5375 
 
 6619 
 
 8218 
 
 520197 
 
 2579 
 
 5389 
 
 3i 
 
 3o 
 
 373885 
 
 393910 
 
 4i42i4 
 
 434812 
 
 455726 
 
 476976 
 
 498582 
 
 520567 
 
 542956 
 
 565773 
 
 3o 
 
 3i 
 
 4216 
 
 4247 
 
 4554 
 
 5 1 58 
 
 6078 
 
 7333 
 
 8945 
 
 0937 
 
 3332 
 
 6157 
 
 29 
 
 32 
 
 4548 
 
 4583 
 
 4895 
 
 55o4 
 
 6429 
 
 7690 
 
 9308 
 
 i3o7 
 
 3709 
 
 654i 
 
 28 
 
 33 
 
 488o 
 
 4919 
 
 5236 
 
 585o 
 
 6781 
 
 8047 
 
 9672 
 
 1677 
 
 4086 
 
 6925 
 
 27 
 
 34 
 
 52II 
 
 5255 
 
 5577 
 
 6197 
 
 7i32 
 
 84o5 
 
 5ooo35 
 
 2047 
 
 4463 
 
 7310 
 
 26 
 
 35 
 
 5543 
 
 5592 
 
 5919 
 
 6543 
 
 7484 
 
 8762 
 
 0399 
 
 2417 
 
 484o 
 
 7694 
 
 25 
 
 36 
 
 5875 
 
 5928 
 
 6260 
 
 6889 
 
 7836 
 
 9120 
 
 0763 
 
 2787 
 
 5218 
 
 8079 
 
 24 
 
 37 
 
 6207 
 
 6265 
 
 6601 
 
 7236 
 
 8188 
 
 9477 
 
 1 127 
 
 3i58 
 
 5595 
 
 8464 
 
 23 
 
 38 
 
 6539 
 
 6601 
 
 6943 
 
 7582 
 
 854o 
 
 9835 
 
 1491 
 
 3528 
 
 5973 
 
 8849 
 
 22 
 
 39 
 
 6872 
 
 6938 
 
 7284 
 
 7929 
 
 8892 
 
 480193 
 
 i855 
 
 3899 
 
 635o 
 
 9234 
 
 2 1 
 
 4o 
 
 377204 
 
 397275 
 
 417626 
 
 438276 
 
 459244 
 
 48o55i 
 
 502219 
 
 524270 
 
 546728 
 
 569619 
 
 20 
 
 4i 
 
 7536 
 
 7611 
 
 7967 
 
 8622 
 
 9596 
 
 0909 
 
 2583 
 
 464i 
 
 7106 
 
 570004 
 
 19 
 
 42 
 
 7869 
 
 7948 
 
 83o9 
 
 8969 
 
 9949 
 
 1267 
 
 2948 
 
 5oi2 
 
 7484 
 
 0390 
 
 18 
 
 43 
 
 8201 
 
 8285 
 
 865i 
 
 9316 
 
 46o3oi 
 
 1626 
 
 33i2 
 
 5383 
 
 7862 
 
 0776 
 
 17 
 
 44 
 
 8534 
 
 8622 
 
 8993 
 
 9663 
 
 o654 
 
 1984 
 
 3677 
 
 5754 
 
 8240 
 
 1 161 
 
 16 
 
 45 
 
 8866 
 
 8960 
 
 9335 
 
 44001 1 
 
 1006 
 
 2343 
 
 4o4i 
 
 6125 
 
 8619 
 
 i547 
 
 i5 
 
 46 
 
 9199 
 
 9297 
 
 9677 
 
 o358 
 
 1359 
 
 2701 
 
 4406 
 
 6497 
 
 8997 
 
 1933 
 
 i4 
 
 47 
 
 9532 
 
 9634 
 
 420019 
 
 0705 
 
 1712 
 
 3o6o 
 
 4771 
 
 6868 
 
 9376 
 
 2319 
 
 i3 
 
 48 
 
 9864 
 
 9971 
 
 o36i 
 
 io53 
 
 2o65 
 
 3419 
 
 5i36 
 
 7240 
 
 9755 
 
 2705 
 
 12 
 
 49 
 
 380197 
 
 4oo3o9 
 
 0704 
 
 i4oo 
 
 2418 
 
 3778 
 
 55o2 
 
 7612 
 
 55oi34 
 
 3092 
 
 II 
 
 5o 
 
 38o53o 
 
 4oo646 
 
 421046 
 
 441748 
 
 462771 
 
 484i37 
 
 5o5867 
 
 527984 
 
 55o5i3 
 
 573478 
 
 10 
 
 5i 
 
 o863 
 
 0984 
 
 1389 
 
 2095 
 
 3i24 
 
 4496 
 
 6232 
 
 8356 
 
 0892 
 
 3865 
 
 9 
 
 52 
 
 1196 
 
 I 322 
 
 1731 
 
 2443 
 
 3478 
 
 4855 
 
 6598 
 
 8728 
 
 1271 
 
 4252 
 
 8 
 
 53 
 
 i53o 
 
 1660 
 
 2074 
 
 2791 
 
 383i 
 
 52i4 
 
 6963 
 
 9100 
 
 i65o 
 
 4638 
 
 7 
 
 54 
 
 1 863 
 
 1997 
 
 2417 
 
 3i39 
 
 4i85 
 
 5574 
 
 7329 
 
 9473 
 
 2o3o 
 
 5026 
 
 6 
 
 55 
 
 2196 
 
 2335 
 
 2759 
 
 3487 
 
 4538 
 
 5933 
 
 7695 
 
 9845 
 
 2409 
 
 54i3 
 
 5 
 
 56 
 
 253o 
 
 2673 
 
 3l02 
 
 3835 
 
 4892 
 
 6293 
 
 8061 
 
 53o2i8 
 
 2789 
 
 58oo 
 
 4 
 
 5? 
 
 2863 
 
 3oi I 
 
 3445 
 
 4i83 
 
 5246 
 
 6653 
 
 8427 
 
 0591 
 
 3169 
 
 6187 
 
 3 
 
 58 
 
 3197 
 
 335o 
 
 3788 
 
 4532 
 
 56oo 
 
 7013 
 
 8793 
 
 0963 
 
 3549 
 
 6575 
 
 2 
 
 59 
 
 353o 
 
 3688 
 
 4l32 
 
 4880 
 
 5954 
 
 7373 
 
 9159 
 
 i336 
 
 3929 
 
 6962 
 
 I 
 
 
 69° 
 
 68° 
 
 67° 
 
 66° 
 
 65° 
 
 64° 
 
 63° 
 
 62° 61° 
 
 60° 
 
 a 
 
 Natural Co-tangents. 
 
 P-P;5.53 
 tol". 
 
 5.60 
 
 5.68 
 
 5.76 
 
 5.85 
 
 5.95 
 
 6.o5 
 
 6.16 
 
 6.28 
 
 6.40 
 
 
122 
 
 » 
 
 
 
 Natural Sines. 
 
 
 
 
 
 
 30° 
 
 31° 
 
 32° 
 
 33° 
 
 34° 
 
 35° 
 
 36° 
 
 37° 
 
 38° 
 
 39° 
 
 
 o 
 
 Sooooo 
 
 5i5o38[5299i9 
 
 544639 
 
 559193 
 
 573576 
 
 587785 
 
 6oi8i5 
 
 6i566i 
 
 629320 
 
 60 
 
 1 
 
 0252 
 
 52871 53oi66 
 
 4883 
 
 9434 
 
 38i5 
 
 8021 
 
 2047 
 
 6891 
 
 9546 
 
 59 
 
 2 
 
 o5o4 
 
 5537 
 
 o4i3 
 
 5i27 
 
 9675 
 
 4o53 
 
 8256 
 
 2280 
 
 6120 
 
 9772 
 
 58 
 
 3 
 
 0755 
 
 5786 
 
 0659 
 
 5371 
 
 9916 
 
 4291 
 
 8491 
 
 25l2 
 
 6349 
 
 9998 
 
 57 
 
 4 
 
 1007 
 
 6o35 
 
 0906 
 
 56i5 
 
 56oi57 
 
 4529 
 
 8726 
 
 2744 
 
 6578 
 
 63o224 
 
 56 
 
 5 
 
 / 
 
 1259 
 
 6284 
 
 Il52 
 
 5858 
 
 0398 
 
 4767 
 
 8961 
 
 2976 
 
 6807 
 
 o45o 
 
 55 
 
 6 
 
 i5u 
 
 6533 
 
 1399 
 
 6102 
 
 0639 
 
 5oo5 
 
 9196 
 
 3208 
 
 7o36 
 
 0676 
 
 54 
 
 7 
 8 
 
 1762 
 
 6782 
 
 1645 
 
 6346 
 
 0880 
 
 5243 
 
 9431 
 
 3440 
 
 7265 
 
 0902 
 
 53 
 
 20l4 
 
 7o3i 
 
 1891 
 
 6589 
 
 1121 
 
 5481 
 
 9666 
 
 3672 
 
 7494 
 
 1127 
 
 52 
 
 9 
 
 10 
 
 2266 
 
 7280 
 
 2i38 
 
 6833 
 
 i36i 
 
 5719 
 
 9901 
 
 3904 
 
 7722 
 
 i353 
 
 5i 
 
 5o25i7 
 
 517529 
 
 532384 
 
 547076 
 
 56i6o2 
 
 575957 
 
 590136 
 
 6o4i36 
 
 617951 
 
 63i578 
 
 5o 
 
 1 1 
 
 2769 
 
 7778 
 
 263o 
 
 7320 
 
 1843 
 
 6195 
 
 0371 
 
 4367 
 
 8180 
 
 i8o4 
 
 49 
 
 12 
 
 3020 
 
 8027 
 
 2876 
 
 7563 
 
 2o83 
 
 6432 
 
 0606 
 
 4599 
 
 84o8 
 
 2029 
 
 48 
 
 i3 
 
 3271 
 
 8276 
 
 3l22 
 
 7807 
 
 2324 
 
 6670 
 
 o84o 
 
 483i 
 
 8637 
 
 2255 
 
 47 
 
 i4 
 
 3523 
 
 8525 
 
 , 3368 
 
 8o5o 
 
 2564 
 
 6908 
 
 1075 
 
 5062 
 
 8865 
 
 2480 
 
 46 
 
 i5 
 
 3774 
 
 8773 
 
 36i5 
 
 8293 
 
 28o5 
 
 7145 
 
 i3io 
 
 5294 
 
 9094 
 
 2705 
 
 45 
 
 i6 
 
 4o25 
 
 9022 
 
 386i 
 
 8536 
 
 3o45 
 
 7383 
 
 1 544 
 
 5526 
 
 9322 
 
 293J 
 
 44 
 
 '7 
 
 4276 
 
 9271 
 
 4io6 
 
 8780 
 
 3286 
 
 7620 
 
 1779 
 
 5757 
 
 9551 
 
 3i56 
 
 43 
 
 i8 
 
 4528 
 
 9519 
 
 4352 
 
 9023 
 
 3526 
 
 7858 
 
 20l3 
 
 5988 
 
 9779 
 
 338i 
 
 42 
 
 19 
 
 4779 
 
 9768 
 
 4598 
 
 9266 
 
 3766 
 
 8095 
 
 2248 
 
 6220 
 
 620007 
 
 36o6 
 
 4i 
 
 7 
 
 20 
 
 5o5o3o 
 
 520016 
 
 534844 
 
 549509 
 
 564oo7 
 
 578332 
 
 592482 
 
 6o645i 
 
 620235 
 
 633831 
 
 4o 
 
 21 
 
 5281 
 
 0265 
 
 5090 
 
 9752 
 
 4247 
 
 8570 
 
 2716 
 
 6682 
 
 o464 
 
 4o56 
 
 39 
 
 22 
 
 5532 
 
 o5i3 
 
 5335 
 
 9995 
 
 4487 
 
 8807 
 
 2951 
 
 6914 
 
 0692 
 
 4281 
 
 38 
 
 23 
 
 5783 
 
 0761 
 
 558i 
 
 55o238 
 
 4727 
 
 9044 
 
 3i85 
 
 7145 
 
 0920 
 
 45o6 
 
 37 
 
 24 
 
 6o34 
 
 lOIO 
 
 5827 
 
 o48i 
 
 4967 
 
 9281 
 
 3419 
 
 7376 
 
 ii48 
 
 4731 
 
 36 
 
 25 
 
 6285 
 
 1258 
 
 6072 
 
 0724 
 
 5207 
 
 9518 
 
 3653 
 
 7607 
 
 1376 
 
 4955 
 
 35 
 
 26 
 
 6535 
 
 i5o6 
 
 63i8 
 
 0966 
 
 5447 
 
 9755 
 
 3887 
 
 7838 
 
 i6o4 
 
 5i8o 
 
 34 
 
 27 
 
 6786 
 
 1754 
 
 6563 
 
 1209 
 
 5687 
 
 9992 
 
 4l2I 
 
 8069 
 
 i83i 
 
 54o5 
 
 33 
 
 28 
 
 7037 
 
 2002 
 
 6809 
 
 i452 
 
 5927 
 
 580229 
 
 4355 
 
 83oo 
 
 2059 
 
 5629 
 
 32 
 
 29 
 
 7288 
 
 225l 
 
 7054 
 
 1694 
 
 6166 
 
 o466 
 
 4589 
 
 853i 
 
 2287 
 
 5854 
 
 3i 
 
 3o 
 
 007538 
 
 522499 
 
 537300 
 
 551937 
 
 5664o6 
 
 580703 
 
 594823 
 
 608761 
 
 6225i5 
 
 636078 
 
 3o 
 
 3i 
 
 7789 
 
 2747 
 
 7545 
 
 2180 
 
 6646 
 
 0940 
 
 5o57 
 
 8992 
 
 2742 
 
 63o3 
 
 29 
 
 32 
 
 8o4o 
 
 2995 
 
 7790 
 
 2422 
 
 6886 
 
 1176 
 
 5290 
 
 9223 
 
 2970 
 
 6527 
 
 28 
 
 33 
 
 8290 
 
 3242 
 
 8o35 
 
 2664 
 
 7125 
 
 i4i3 
 
 5524 
 
 9454 
 
 3197 
 
 6751 
 
 27 
 
 34 
 
 854i 
 
 3490 
 
 8281 
 
 2907 
 
 7365 
 
 i65o 
 
 5758 
 
 9684 
 
 3425 
 
 6976 
 
 26 
 
 35 
 
 8791 
 
 3738 
 
 8526 
 
 3i49 
 
 7604 
 
 1886 
 
 5991 
 
 9915 
 
 3652 
 
 7200 
 
 25 
 
 36 
 
 9041 
 
 3986 
 
 8771 
 
 3392 
 
 7844 
 
 2123 
 
 6225 
 
 610145 
 
 388o 
 
 7424 
 
 24 
 
 37 
 
 9292 
 
 4234 
 
 9016 
 
 3634 
 
 8o83 
 
 2359 
 
 6458 
 
 0376 
 
 4107 
 
 7648 
 
 23 
 
 38 
 
 9542 
 
 448 1 
 
 9261 
 
 3876 
 
 8323 
 
 2596 
 
 6692 
 
 0606 
 
 4334 
 
 7872 
 
 22 
 
 39 
 
 9792 
 
 4729 
 
 9506 
 
 4ii8 
 
 8562 
 
 2832 
 
 6925 
 
 o836 
 
 456i 
 
 8096 
 
 21 
 
 4o 
 
 5 1 0043 
 
 524977 
 
 539751 
 
 554360 
 
 5688oi 
 
 583o69 
 
 597159 
 
 61 1067 
 
 624789 
 
 638320 
 
 20 
 
 4i 
 
 0293 
 
 5224 
 
 9996 
 
 4602 
 
 9040 
 
 33o5 
 
 7392 
 
 1297 
 
 5oi6 
 
 8544 
 
 19 
 
 42 
 
 0543 
 
 5472 
 
 540240 
 
 4844 
 
 9280 
 
 3541 
 
 7625 
 
 i527 
 
 5243 
 
 8768 
 
 18 
 
 43 
 
 0793 
 
 5719 
 
 o485 
 
 5o86 
 
 9519 
 
 3777 
 
 7858 
 
 1757 
 
 5470 
 
 8992 
 
 17 
 
 44 
 
 1043 
 
 5967 
 
 0730 
 
 5328 
 
 9758 
 
 4oi4 
 
 8092 
 
 1987 
 
 5697 
 
 9215 
 
 16 
 
 45 
 
 1293 
 
 6214 
 
 0974 
 
 5570 
 
 9997 
 
 425o 
 
 8325 
 
 2217 
 
 5923 
 
 9439 
 
 i5 
 
 46 
 
 1 543 
 
 646i 
 
 1219 
 
 58i2 
 
 570236 
 
 4486 
 
 8558 
 
 2447 
 
 6i5o 
 
 9663 
 
 i4 
 
 47 
 
 1793 
 
 6709 
 
 i464 
 
 6o54 
 
 0475 
 
 4722 
 
 8791 
 
 2677 
 
 6377 
 
 9886 
 
 i3 
 
 48 
 
 2043 
 
 6956 
 
 1708 
 
 6296 
 
 0714 
 
 4958 
 
 9024 
 
 2907 
 
 6604 
 
 64oi 10 
 
 12 
 
 49 
 
 2293 
 
 72o3 
 
 1953 
 
 6537 
 
 0952 
 
 5194 
 
 9256 
 
 3i37 
 
 683o 
 
 o333 
 
 II 
 
 5o 
 
 5i2543 
 
 527450 
 
 542197 
 
 556779 
 
 571 191 
 
 585429 
 
 599489 
 
 613367 
 
 627057 
 
 64o557 
 
 10 
 
 5i 
 
 2792 
 
 7697 
 
 2442 
 
 7021 
 
 i43o 
 
 5665 
 
 9722 
 
 3596 
 
 7284 
 
 0780 
 
 9 
 
 52 
 
 3o42 
 
 7944 
 
 2686 
 
 7262 
 
 1669 
 
 5901 
 
 9955 
 
 3826 
 
 75io 
 
 ioo3 
 
 8 
 
 53 
 
 3292 
 
 8191 
 
 2930 
 
 75o4 
 
 1907 
 
 6137 
 
 600188 
 
 4o56 
 
 7737 
 
 1226 
 
 7 
 
 54 
 
 3541 
 
 8438 
 
 3174 
 
 7745 
 
 2i46 
 
 6372 
 
 0420 
 
 4285 
 
 7963 
 
 i45o 
 
 6 
 
 55 
 
 3791 
 
 8685 
 
 3419 
 
 7987 
 
 2384 
 
 6608 
 
 o653 
 
 45i5 
 
 8189 
 
 1673 
 
 5 
 
 56 
 
 4o4o 
 
 8932 
 
 3663 
 
 8228 
 
 2623 
 
 6844 
 
 o885 
 
 4744 
 
 84i6 
 
 1896 
 
 4 
 
 57 
 
 4290 
 
 9179 
 
 3907 
 
 8469 
 
 2861 
 
 7079 
 
 1118 
 
 4974 
 
 8642 
 
 21 19 
 
 3 
 
 58 
 
 453o 
 
 9426 4i5i 
 
 8710 
 
 3ioo 
 
 73i4 
 
 i35o 
 
 52o3 
 
 8868 
 
 2342 
 
 2 
 
 59 
 
 4789 
 
 9673 
 
 4395 
 
 8952 
 
 3338 
 
 7550 
 
 i583 
 
 5432 
 
 9094 
 
 2565 
 
 I 
 
 
 59° 
 
 58° 
 
 57° 
 
 56° 
 
 55° 
 
 54° 
 
 53° 
 
 52° 
 
 51° 
 
 50° 
 
 
 Natural Co-sines. 
 
 P. 1 
 
 tol 
 
 ;, 4.18 
 
 4.i3 
 
 4.09 
 
 4.04 
 
 4.00 3.95 
 
 3.90 
 
 3.85 
 
 3.80 
 
 3.74 
 
 
Natural Tangents. 
 
 123 
 
 a 
 
 30° 
 
 31° 
 
 32° 
 
 33° 
 
 34° 
 
 35° 
 
 36° 
 
 37° 
 
 38° 
 
 39° 
 
 60 
 
 
 
 577350 600861 
 
 624869 
 
 649408J 674509 
 
 700208 
 
 726543 
 
 753554 
 
 78i2»6 
 
 8o97«4 
 
 I 
 
 7738 
 
 1257 
 
 527^ 
 
 9821 
 
 4932 
 
 o64i 
 
 6987 
 
 4oio 
 
 1754 
 
 810266 
 
 59 
 
 2 
 
 8126 
 
 i653 
 
 5679 
 
 65o235 
 
 5355 
 
 1075 
 
 7432 
 
 4467 
 
 2223 
 
 0748 
 
 58 
 
 3 
 
 85i4 
 
 2049 
 
 6o83 
 
 0649 
 
 5779 
 
 i5o9 
 
 7877 
 
 4923 
 
 2692 
 
 123o 
 
 57 
 
 4 
 
 8903 
 
 2445 
 
 6488 
 
 io63 
 
 6203 
 
 1943 
 
 8322 
 
 538o 
 
 3i6i 
 
 1712 
 
 56 
 
 5 
 
 9291 
 
 2842 
 
 6894 
 
 1477 
 
 6627 
 
 2377 
 
 8767 
 
 5837 
 
 363i 
 
 2195 
 
 55 
 
 6 
 
 9680 
 
 3239 
 
 7299 
 
 1892 
 
 7o5i 
 
 2812 
 
 9213 
 
 6294 
 
 4ioo 
 
 2678 
 
 54 
 
 7 
 
 58oo68 
 
 3635 
 
 7704 
 
 23o6 
 
 7475 
 
 3246 
 
 9658 
 
 6751 
 
 4570 
 
 3i6i 
 
 53 
 
 8 
 
 0457 
 
 4o32 
 
 8110 
 
 2721 
 
 7900 
 
 368i 
 
 73oio4 
 
 7209 
 
 5o4o 
 
 3644'52 
 
 9 
 
 0846 
 
 4429 
 
 85i6 
 
 3i36 
 
 8324 
 
 4ii6 
 
 o55o 
 
 7667 
 
 55io 
 
 4128 5i 
 
 lO 
 
 581235 
 
 604827 
 
 628921 
 
 653551 
 
 678749 
 
 704551 
 
 730996 
 
 758125 
 
 785981 
 
 8i46i2 5o 
 
 1 1 
 
 1625 
 
 5224 
 
 9327 
 
 3966 
 
 9174 
 
 4987 
 
 1443 
 
 8583 
 
 645i 
 
 5096 49 
 
 12 
 
 20l4 
 
 5622 
 
 9734 
 
 4382 
 
 9599 
 
 5422 
 
 1889 
 
 9041 
 
 6922 
 
 558o48 
 
 i3 
 
 24o3 
 
 6019 63oi4o 
 
 4797 
 
 680025 
 
 5858 
 
 2336 
 
 9500 
 
 7394 
 
 6o65 47 
 
 i4 
 
 2793 
 
 6417 
 
 o546 
 
 52 1 3 
 
 o45o 
 
 6294 
 
 2783 
 
 9959 
 
 7865 
 
 6549 
 
 46 
 
 i5 
 
 3i83 
 
 68i5 
 
 0953 
 
 5629 
 
 0876 
 
 6730 
 
 323o 
 
 760418 
 
 8336 
 
 7034 
 
 45 
 
 i6 
 
 3573 
 
 7213 
 
 i36o 
 
 6045 
 
 l302 
 
 7166 
 
 3678 
 
 0877 
 
 8808 
 
 7519 
 
 44 
 
 17 
 
 3963 
 
 761 1 
 
 1767 
 
 646i 
 
 1728 
 
 7603 
 
 4i25 
 
 i336 
 
 9280 
 
 8oo5 
 
 43 
 
 i8 
 
 4353 
 
 8010 
 
 2174 
 
 6877 
 
 2l54 
 
 8039 
 
 4573 
 
 1796 
 
 9752 
 
 8491 
 
 42 
 
 19 
 
 4743 
 
 84o8 
 
 258i 
 
 7294 
 
 258o 
 
 8476 
 
 5021 
 
 2256 
 
 790225 
 
 8976 
 
 4i 
 
 20 
 
 585i34 
 
 608807 
 
 632988 
 
 657710 
 
 683007 
 
 708913 
 
 735469 
 
 762716 
 
 790697 
 
 819463 
 
 4o 
 
 21 
 
 5524 
 
 9205 
 
 3396 
 
 8127 
 
 3433 
 
 9350 
 
 5917 
 
 3176 
 
 1170 
 
 9949 
 
 39 
 
 22 
 
 5915 
 
 9604 
 
 38o4 
 
 8544 
 
 386o 
 
 9788 
 
 6366 
 
 3636 
 
 1643 
 
 820435 
 
 38 
 
 23 
 
 63o6 6iooo3 
 
 4211 
 
 8961 
 
 4287 
 
 710225 
 
 68i5 
 
 4097 
 
 2117 
 
 0922 
 
 37 
 
 24 
 
 6697 
 
 o4o3 
 
 4619 
 
 9379 
 
 4714 
 
 o663 
 
 7264 
 
 4558 
 
 2590 
 
 1409 
 
 36 
 
 25 
 
 7088 
 
 0802 
 
 5027 
 
 9796 
 
 5i42 
 
 IIOI 
 
 7713 
 
 5019 
 
 3o64 
 
 1897 
 
 35 
 
 26 
 
 7479 
 
 1201 
 
 5436 
 
 660214 
 
 5569 
 
 1539 
 
 8162 
 
 5480 
 
 3538 
 
 2384 
 
 34 
 
 27 
 
 7870 
 
 1601 
 
 5844 
 
 o63i 
 
 5997 
 
 1977 
 
 8611 
 
 5941 
 
 4oi2 
 
 2872 
 
 33 
 
 28 
 
 8262 
 
 2001 
 
 6253 
 
 1049 
 
 6425 
 
 2416 
 
 9061 
 
 64o3 
 
 4486 
 
 336o 
 
 32 
 
 29 
 
 8653 
 
 24oi 
 
 6661 
 
 1467 
 
 6853 
 
 2854 
 
 95ii 
 
 6865 
 
 4961 
 
 3848 
 
 3i 
 
 3o 
 
 589045 
 
 61280I 
 
 637070 
 
 .661886 
 
 687281 
 
 713293 
 
 739961 
 
 767327 
 
 795436 
 
 824336 
 
 3o 
 
 3i 
 
 9437 
 
 3201 
 
 7479 
 
 23o4 
 
 7709 
 
 3732 
 
 74o4ii 
 
 7789 
 
 591 1 
 
 4825 
 
 29 
 
 32 
 
 9829 
 
 36oi 
 
 7888 
 
 2723 
 
 8i38 
 
 4171 
 
 0862 
 
 8252 
 
 6386 
 
 53i4 
 
 28 
 
 33 
 
 590221 
 
 4002 
 
 8298 
 
 3i4i 
 
 8567 
 
 46ii 
 
 l3l2 
 
 8714 
 
 6862 
 
 58o3 
 
 27 
 
 34 
 
 o6i3 
 
 44o2 
 
 8707 
 
 356o 
 
 8995 
 
 5o5o 
 
 1763 
 
 9177 
 
 7337 
 
 6292 
 
 26 
 
 35 
 
 1006 
 
 48o3 
 
 9117 
 
 3979 
 
 9425 
 
 5490 
 
 22l4 
 
 9640 
 
 7813 
 
 6782 
 
 25 
 
 36 
 
 1398 
 
 52o4 
 
 9527 
 
 4398 
 
 9854 
 
 5930 
 
 2666 
 
 770104 
 
 8290 
 
 7272 
 
 24 
 
 37 
 
 1791 
 
 56o5 
 
 9937 
 
 48i8 
 
 690283 
 
 6370 
 
 3ii7 
 
 0567 
 
 8766 
 
 7762 
 
 23 
 
 38 
 
 2l84 
 
 6006 
 
 640347 
 
 5237 
 
 0713 
 
 6810 
 
 3569 
 
 io3i 
 
 9242 
 
 8252 
 
 22 
 
 39 
 
 2577 
 
 64o8 
 
 0757 
 
 5657 
 
 ii43 
 
 725o 
 
 4020 
 
 1495 
 
 9719 
 
 8743 
 
 21 
 
 4o 
 
 592970 616809 
 
 641167 
 
 666077 
 
 691572 
 
 717691 
 
 744472 
 
 771959 
 
 800196 
 
 829234 
 
 20 
 
 4i 
 
 3363 
 
 7211 
 
 1578 
 
 6497 
 
 2oo3 
 
 8i32 
 
 4925 
 
 2423 
 
 0674 
 
 9725 
 
 19 
 
 42 
 
 3757 
 
 7613 
 
 1989 
 
 6917 
 
 2433 
 
 8573 
 
 5377 
 
 2888 
 
 I i5i 
 
 83o2i6 
 
 18 
 
 43 
 
 4i5o 
 
 8oi5 
 
 2399 
 
 7337 
 
 2863 
 
 9014 
 
 583o 
 
 3353 
 
 1629 
 
 0707 
 
 17 
 
 44 
 
 4544 
 
 8417 
 
 2810 
 
 7758 
 
 3294 
 
 9455 
 
 6282 
 
 38i8 
 
 2107 
 
 1199 
 
 16 
 
 45 
 
 4937 
 
 8819 
 
 3222 
 
 8179 
 
 3725 
 
 9897 
 
 6735 
 
 4283 
 
 2585 
 
 1691 
 
 i5 
 
 46 
 
 533i 
 
 9221 
 
 3633 
 
 8599 
 
 4i56 
 
 720339 
 
 7189 
 
 4748 
 
 3o63 
 
 2i83 
 
 14 
 
 47 
 
 5725 
 
 9624 
 
 4o44 
 
 9020 
 
 4587 
 
 0781 
 
 7642 
 
 52i4 
 
 3542 
 
 2676 
 
 i3 
 
 48 
 
 6120 
 
 620026 
 
 4456 
 
 9442 
 
 5oi8 
 
 1223 
 
 8096 
 
 568o 
 
 402I 
 
 3169 
 
 12 
 
 49 
 
 65i4 
 
 0429 
 
 4868 
 
 9863 
 
 545o 
 
 i665 
 
 8549 
 
 6i46 
 
 45oo 
 
 3662 
 
 II 
 
 5o 
 
 596908 
 
 620832 
 
 645280 
 
 670284 
 
 695881 
 
 722108 
 
 749003 
 
 776612 804979 
 
 834i55 
 
 10 
 
 5i 
 
 73o3 
 
 1235 
 
 5692 
 
 0706 
 
 63i3 
 
 255o 
 
 9458 
 
 7078 
 
 5458 
 
 4648 
 
 9 
 
 52 
 
 7698 
 
 i638 
 
 6xo4 
 
 1128 
 
 6745 
 
 2993 9912I 
 
 7545 
 
 5938 
 
 5i42 
 
 8 
 
 53 
 
 8093 
 
 2042 
 
 65i6 
 
 i55o 
 
 7177 
 
 3436 
 
 75o366 
 
 8012 
 
 64i8 
 
 5636 
 
 7 
 
 54 
 
 8488 
 
 2445 
 
 6929 
 
 1972 
 
 7610 
 
 3879 
 
 0821 
 
 8479 
 
 6898 
 
 6i3o 
 
 6 
 
 55 
 
 8883 
 
 2849 
 
 7342 
 
 2394 
 
 8042 
 
 4323 
 
 1276 
 
 8946 
 
 7379 
 
 6624 
 
 5 
 
 56 
 
 9278 
 
 3253 
 
 7755 
 
 2817 
 
 8475 
 
 4766 
 
 1731 
 
 94i4 
 
 7859 
 
 7119 
 
 4 
 
 57 
 
 9674 
 
 3657 
 
 8168 
 
 324o 
 
 8908 
 
 5210 
 
 2187 
 
 9881 
 
 834o 
 
 7614 
 
 3 
 
 58 
 
 600069 
 
 4o6i 
 
 858i 
 
 3662 
 
 9341 
 
 5654 
 
 2642 
 
 780349 
 
 8821 
 
 8109 
 
 2 
 
 59 
 
 o465 
 
 4465 
 
 8994 
 
 4o85 
 
 9774 
 
 6098 
 
 3098 
 
 0817 
 
 93o3 
 
 8604 
 
 I 
 
 
 59° 
 
 58° 
 
 57° 
 
 56° 
 
 55° 
 
 54° 
 
 53° 
 
 52° 
 
 51° 
 
 50° 
 
 ii 
 
 Natural Co-tangents. 
 
 P-P:6.53 
 tol". 
 
 6.67 
 
 6.82 
 
 6.97 
 
 7.14 
 
 7.3i 
 
 7.5o 
 
 7.70 
 
 7.92 
 
 8.i4 
 
124 
 
 
 
 
 Natural biNES. 
 
 
 
 
 
 a 
 
 s 
 
 40° 
 
 41° 
 
 42° 
 
 43° 
 
 44° 
 
 45° 
 
 46° 
 
 47° 
 
 48° 
 
 49° . 
 
 60 
 
 
 
 642788 
 
 656o59 
 
 6691 3r 681998 
 
 694658 
 
 707107 
 
 719340 
 
 73i354 
 
 743145 
 
 754710 
 
 I 
 
 3oio 
 
 6279 
 
 6498 
 6717 
 
 9347 
 
 221 1 
 
 4868 
 
 73i2 
 
 9552 
 
 i552 
 
 3339 
 
 4900 
 
 59 
 
 2 
 
 3233 
 
 9563 
 
 2424 
 
 5077 
 
 75i8 
 
 9744 
 
 1750 
 
 3534 
 
 5091 
 
 58 
 
 3 
 
 3456 
 
 9779 
 
 2636 
 
 5286 
 
 7724 
 
 9946 
 
 1949 
 
 3728 
 
 5282 
 
 57 
 
 4 
 
 3679 
 3goi 
 
 4124 
 
 6937 
 
 9995 
 
 2849 
 
 5495 
 
 7929 
 
 720148 
 
 2147 
 
 3923 
 
 5472 
 
 56 
 
 5 
 
 7i56 
 
 67021 1 
 
 3o6i 
 
 5704 
 
 8i34 
 
 o349 
 
 2345 
 
 4117 
 
 5663 
 
 55 
 
 6 
 
 7375 
 
 0427 
 
 3274 
 
 5913 
 
 834o 
 
 o55i 
 
 2543 
 
 43i2 
 
 5853 
 
 54 
 
 7 
 8 
 
 4346 
 
 / / 
 7594 
 
 0642 
 
 3486 
 
 6122 
 
 8545 
 
 0753 
 
 2741 
 
 45o6 
 
 6044, 
 
 53 
 
 4569 
 
 479' 
 645oi3 
 
 7814 
 
 o858 
 
 3698 
 
 633o 
 
 8750 
 
 0954 
 
 2939 
 
 4700 
 
 6234 
 
 52 
 
 9 
 
 10 
 
 8o33 
 
 1074 
 
 391 1 
 
 6539 
 
 8956 
 
 ii56 
 
 3i37 
 
 4894 
 
 6425 
 
 5i 
 
 658252 
 
 671289 
 
 684123 
 
 696748 
 
 709161 
 
 721357 
 
 733334 
 
 745088 
 
 7566i5 
 
 5o 
 
 1 1 
 
 5236 
 
 8471 
 
 i5o5 
 
 4335 
 
 6957 
 
 9366 
 
 1559 
 
 3532 
 
 5282 
 
 68o5, 
 
 49 
 
 I 2 
 
 5458 
 
 8689 
 
 1721 
 
 4547 
 
 7165 
 
 9571 
 
 1760 
 
 3730 
 
 5476 
 
 6995 
 
 48 
 
 i3 
 
 568o 
 
 8908 
 
 193G 
 
 4759 
 
 7374 
 
 9776 
 
 1962 
 
 3927 
 
 5670 
 
 7i85 
 
 47 
 
 i4 
 
 5o02 
 
 9127 
 
 2l5l 
 
 4971 
 
 7582 
 
 9981 
 
 2i63 
 
 4l25 
 
 5864 
 
 7375 
 
 46 
 
 i5 
 
 / 
 
 6124 
 
 9346 
 
 2367 
 
 5i83 
 
 7790 
 
 710185 
 
 2364 
 
 4323 
 
 6o57 
 
 7565 
 
 45 
 
 i6 
 
 6346 
 
 9565 
 
 2582 
 
 5395 
 
 7999 
 
 0390 
 
 2565 
 
 4520 
 
 6251 
 
 7755 
 
 44 
 
 17 
 
 6568 
 
 9783 
 
 2797 
 
 5607 
 
 8207 
 
 0595 
 
 2766 
 
 4717 
 
 6445 
 
 7945 
 
 43 
 
 18 
 
 6790 
 
 660002 
 
 3oi3 
 
 58i8 
 
 84i5 
 
 0799 
 
 2967 
 
 4915 
 
 6638 
 
 8i34 
 
 42 
 
 '9 
 20 
 
 / 7 
 
 7012 
 
 0220 
 
 3228 
 
 6o3o 
 
 8623 
 
 ioo4 
 
 3i68 
 
 5i 12 
 
 6832 
 
 8324 
 
 4i 
 
 647233 
 
 660439 
 
 673443 
 
 686242 
 
 698832 
 
 71 1209 
 
 723369 
 
 735309 
 
 747025 
 
 7585i4 
 
 4o 
 
 21 
 
 7455 
 
 0657 
 
 3658 
 
 6453 
 
 9040 
 
 i4i3 
 
 3570 
 
 55o6 
 
 7218 
 
 8703 
 
 39 
 
 22 
 
 7677 
 
 0875 
 
 3873 
 
 6665 
 
 9248 
 
 I6I7 
 
 3771 
 
 5703 
 
 7412 
 
 8893 
 
 38 
 
 23 
 
 7898 
 
 1094 
 
 4088 
 
 6876 
 
 9455 
 
 1822 
 
 3971 
 
 5900 
 
 7605 
 
 9082 
 
 37 
 
 24 
 
 8120 
 
 l3l2 
 
 43o2 
 
 7088 
 
 9663 
 
 2026 
 
 4172 
 
 6097 
 
 7798 
 
 9271 
 
 36 
 
 25 
 
 834i 
 
 i53o 
 
 4517 
 
 7299 
 
 9871 
 
 223o 
 
 4372 
 
 6294 
 
 799' 
 
 9461 
 
 35 
 
 26 
 
 8563 
 
 1748 
 
 4732 
 
 75io 
 
 700079 
 
 2434 
 
 4573 
 
 6491 
 
 8i84 
 
 9650 
 
 34 
 
 27 
 
 8784 
 
 1966 
 
 4947 
 
 7721 
 
 0287 
 
 2639 
 
 4773 
 
 6687 
 
 8377 
 
 9839 
 
 33 
 
 28 
 
 9006 
 
 2184 
 
 5i6i 
 
 7932 
 
 0494 
 
 2843 
 
 4974 
 
 6884 
 
 8570 
 
 760028 
 
 32 
 
 29 
 
 9227 
 
 2402 
 
 5376 
 
 8i44 
 
 0702 
 
 3o47 
 
 5174 
 
 7081 
 
 8763 
 
 0217 
 
 3i 
 
 3o 
 
 649448 
 
 662620 
 
 675590 
 
 688355 
 
 700909 
 
 7i325o 
 
 725374 
 
 737277 
 
 748956 
 
 760406 
 
 3o 
 
 3i 
 
 9669 
 
 2838 
 
 58o5 
 
 8566 
 
 1 1 17 
 
 3454 
 
 5575 
 
 7474 
 
 9148 
 
 0595 
 
 29 
 
 32 
 
 9890 
 
 3o56 
 
 6019 
 
 8776 
 
 l324 
 
 3658 
 
 5775 
 
 7670 
 
 9341 
 
 0784 
 
 28 
 
 33 
 
 65oi 1 1 
 
 3273 
 
 6233 
 
 8987 
 
 i53i 
 
 3862 
 
 5975 
 
 7867 
 
 9534 
 
 0972 
 
 27 
 
 34 
 
 o332 
 
 3491 
 
 6448 
 
 9198 
 
 1739 
 
 4o66 
 
 6175 
 
 8o63 
 
 9726 
 
 1 161 
 
 26 
 
 35 
 
 o553 
 
 3709 
 
 6662 
 
 9409 
 
 1946 
 
 4269 
 
 6375 
 
 8259 
 
 9919 
 
 i35o 
 
 25 
 
 36 
 
 0774 
 
 3926 
 
 6876 
 
 9620 
 
 2i53 
 
 4473 
 
 ' 5575 
 
 8455 
 
 7501 II 
 
 i538 
 
 24 
 
 37 
 
 0995 
 
 4i44 
 
 7090 
 
 9830 
 
 236o 
 
 4676 
 
 ■ 6775 
 
 865: 
 
 o3o3 
 
 1727 
 
 23 
 
 38 
 
 12 1 6 
 
 436i 
 
 73o4 
 
 690041 
 
 2567 
 
 488o 
 
 6974 
 
 8848 
 
 0496 
 
 1915 
 
 22 
 
 39 
 
 1437 
 
 4579 
 
 75i8 
 
 025l 
 
 2774 
 
 5o83 
 
 • 7174 
 
 9043 
 
 0688 
 
 2Io4 
 
 21 
 
 4o 
 
 65i657 
 
 664796 
 
 677732 
 
 690462 
 
 702981 
 
 715286 
 
 727374 
 
 739239 
 
 750880 
 
 762292 
 
 20 
 
 4t 
 
 1878 
 
 5oi3 
 
 7946 
 
 0672 
 
 3i88 
 
 5490 
 
 7573 
 
 9435 
 
 1072 
 
 2480 
 
 19 
 
 42 
 
 2098 
 
 523o 
 
 8160 
 
 0882 
 
 3395 
 
 5693 
 
 7773 
 
 9631 
 
 1264 
 
 2668 
 
 18 
 
 43 
 
 23i9 
 
 5448 
 
 8373 
 
 1093 
 
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 7972 
 
 9827 
 
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 2856 
 
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 44 
 
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 5665 
 
 8587 
 
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 38o8 
 
 6099 
 
 8172 
 
 740023 
 
 i648 
 
 3o44 
 
 16 
 
 45 
 
 2760 
 
 5882 
 
 8801 
 
 i5i3 
 
 4oi5 
 
 63o2 
 
 8371 
 
 0218 
 
 i84o 
 
 3232 
 
 i5 
 
 46 
 
 2980 
 
 6099 
 
 9014 
 
 1723 
 
 4221 
 
 65o5 
 
 8570 
 
 o4i4 
 
 2032 
 
 3420 
 
 i4 
 
 47 
 
 3200 
 
 63i6 
 
 9228 
 
 1933 
 
 4428 
 
 6708 
 
 8769 
 
 0609 
 
 2223 
 
 36o8 
 
 i3 
 
 48 
 
 3421 
 
 6532 
 
 9441 
 
 2143 
 
 4634 
 
 691 1 
 
 8969 
 
 o8o5 
 
 24l5 
 
 3796 
 
 12 
 
 49 
 
 364i 
 
 6749 
 
 9655 
 
 2353 
 
 484i 
 
 7113 
 
 9168 
 
 1000 
 
 2606 
 
 3984 
 
 1 1 
 
 5o 
 
 653861 
 
 666966 
 
 679868 
 
 692563 
 
 7o5o47 
 
 717316 
 
 729367 
 
 741195 
 
 752798 
 
 764171 
 
 10 
 
 5i 
 
 4081 
 
 7183 
 
 680081 
 
 2773 
 
 5253 
 
 7519 
 
 9566 
 
 1391 
 
 2989 
 
 4359 
 
 9 
 
 52 
 
 43oi 
 
 7399 
 
 0295 
 
 2983 
 
 5459 
 
 7721 
 
 9765 
 
 i586 
 
 3i8i 
 
 4547 
 
 8 
 
 53 
 
 4521 
 
 7616 
 
 o5o8 
 
 3192 
 
 5665 
 
 7924 
 
 9963 
 
 1781 
 
 3372 
 
 4734 
 
 7 
 
 54 
 
 4741 
 
 7833 
 
 0721 
 
 3402 
 
 5872 
 
 8126 
 
 730162 
 
 1976 
 
 3563 
 
 4921 
 
 6 
 
 55 
 
 4961 
 
 8049 
 
 o(j3/i 
 
 36ii 
 
 6078 
 
 8329 
 
 o36i 
 
 2171 
 
 3755 
 
 5109 
 
 5 
 
 56 
 
 5i8o 
 
 8265 
 
 1147 
 
 3821 
 
 6284 
 
 853i 
 
 o56o 
 
 2366 
 
 3946 
 
 5296 
 
 4 
 
 57 
 
 54oo 
 
 8482 
 
 i36o 
 
 4o3o 
 
 6489 
 
 8733 
 
 0758 
 
 256i 
 
 4i37 
 
 5483 
 
 3 
 
 58 
 
 5620 8698 
 
 1573 
 
 4240 
 
 6695 
 
 8936 
 
 0957 
 
 2755 
 
 4328 
 
 5670 
 
 2 
 
 5g 
 
 5839 8914 
 
 1786 
 
 4449 
 
 6901 
 
 9x38 
 
 ii55 
 
 2950 4519 
 
 5857 
 
 I 
 
 
 49° 
 
 48° 
 
 47° 
 
 46° 
 
 45° 
 
 44° 
 
 48° 
 
 42° 41° 
 
 40° 
 
 a 
 
 i 
 
 Natural Co-sines. 
 
 ;oiv-^9 
 
 3.63 
 
 3.57 
 
 3.52 
 
 3.46 
 
 3.40 
 
 3.34 
 
 3.27 
 
 3.21 
 
 3.i5 
 
 

 
 
 
 Natural 
 
 Tangents. 
 
 
 
 125 
 
 1 -^0° 
 
 41° 
 
 42° 
 
 43° 
 
 44° 
 
 45° 
 
 46° 
 
 47° 
 
 48° 
 
 49° 
 
 
 839100 
 
 869287 900404 
 
 9325i5 
 
 965689 
 
 1. 00000 
 
 1.03553 
 
 1.07237 
 
 I.I 1061 
 
 i.i5o37 
 
 60 
 
 I 9695 
 
 9798 
 
 0931 
 
 3o59 
 
 625i 
 
 oo58 
 
 36i3 
 
 7299 
 
 1 126 
 
 5io4 
 
 59 
 
 58 
 
 2' 840092 
 
 870309 
 
 i458 
 
 36o3 
 
 6814 
 
 01 16 
 
 3674 
 
 7362 
 
 1191 
 
 5172 
 
 3 
 
 o588 
 
 0820 
 
 1985 
 
 4i48 
 
 7377 
 
 0175 
 
 3734 
 
 7425 
 
 1256 
 
 6240 
 
 57 
 
 4 
 
 io84 
 
 i332 
 
 25i3 
 
 4693 
 
 7940 
 
 0233 
 
 3794 
 
 74B7 
 
 l32I 
 
 53o8 
 
 56 
 
 5 
 
 i58i 
 
 i843 
 
 3o4i 
 
 5238 
 
 85o4 
 
 0291 
 
 3855 
 
 7550 
 
 i387 
 
 5375 
 
 55 
 
 6 
 
 2078 
 
 2356 
 
 3569 
 
 5783 
 
 9067 
 
 o35o 
 
 3915 
 
 7613 
 
 i452 
 
 5443 
 
 54 
 
 7 
 
 2575 
 
 2868 
 
 4098 
 
 6329 
 
 9632 
 
 o4o8 
 
 3976 
 
 7676 
 
 i5i7 
 
 55ii 
 
 53 
 
 « 
 
 3073 
 
 338i 
 
 4627 
 
 6875 
 
 970196 
 
 0467 
 
 4o36 
 
 7738 
 
 i582 
 
 5579 
 
 52 
 
 9 
 
 3571 
 
 38g4 
 
 5i56 
 
 7422 
 
 0761 
 
 o525 
 
 4097 
 
 7801 
 
 i648 
 
 5647 
 
 5i 
 
 10 
 
 844069 
 
 874407 
 
 9o5685 
 
 937968 
 
 971326 
 
 i.oo583 
 
 i.o4i58 
 
 1.07864 
 
 1.11713 
 
 i.i57i5 
 
 5o 
 
 11 4567 
 
 4920 
 
 62i5 
 
 65i5 
 
 1892 
 
 0642 
 
 4218 
 
 7927 
 
 1778 
 
 5783 
 
 49 
 
 12' 5o66 
 
 5434 
 
 6745 
 
 9063 
 
 2458 
 
 0701 
 
 4279 
 
 7990 
 
 1 844 
 
 585i 
 
 48 
 
 13; 5564 
 
 5948 
 
 7275 
 
 9610 
 
 3o24 
 
 0759 
 
 4340 
 
 8o53 
 
 1909 
 
 5919 
 
 47 
 
 i4 6o63 
 
 6462 
 
 7805 
 
 94oi58 
 
 3590 
 
 08 1 8 
 
 44oi 
 
 8116 
 
 1975 
 
 5987 
 
 46 
 
 i5: 6562 
 
 6976 
 
 8336 
 
 0706 
 
 4i57 
 
 0876 
 
 4461 
 
 8179 
 
 204l 
 
 6o56 
 
 45 
 
 16, 7062 
 
 7491 
 
 8867 
 
 1255 
 
 4724 
 
 0935 
 
 4522 
 
 8243 
 
 2106 
 
 6124 
 
 44 
 
 17! 7562 
 
 8006: 9398 
 
 i8o3 
 
 5291 
 
 0994 
 
 4583 
 
 83o6 
 
 2172 
 
 6192 
 
 43 
 
 18: 8062 
 
 8521 9930 
 
 2352 
 
 5859 
 
 io53 
 
 4644 
 
 8369 
 
 2238 
 
 6261 
 
 42 
 
 19' 8562 
 
 9037 910462 
 
 2902 
 
 6427 
 
 1 1 12 
 
 4705 
 
 8432 
 
 23o3 
 
 6329 
 
 4i 
 
 20 
 
 849062 
 
 879553 
 
 910994 
 
 943451 
 
 976996 
 
 t. 01170 
 
 r. 04766 
 
 1.08496 
 
 1. 12369 
 
 1. 16398 
 
 4o 
 
 21 
 
 9563 
 
 880069 
 
 i526 
 
 4ooi 
 
 7564 
 
 1229 
 
 4827 
 
 8559 
 
 2435 
 
 6466 
 
 39 
 
 22 
 
 85oo64 
 
 o585 
 
 2059 
 
 4552 
 
 8i33 
 
 1288 
 
 4888 
 
 8622 
 
 25oi 
 
 6535 
 
 38 
 
 23 
 
 o565 
 
 1102 
 
 2592 
 
 5l02 
 
 8703 
 
 i347 
 
 4949 
 
 8686 
 
 2567 
 
 66o3 
 
 3? 
 
 24 
 
 1067 
 
 1619 
 
 3i25 
 
 5653 
 
 9272 
 
 i4o6 
 
 5oio 
 
 8749 
 
 2633 
 
 6672 
 
 36 
 
 25 
 
 i568 
 
 2i36 
 
 3659 
 
 6204 
 
 9842 
 
 i465 
 
 6072 
 
 88i3 
 
 2699 
 
 6741 
 
 35 
 
 26 
 
 2070 
 
 2653 
 
 4193 
 
 6756 
 
 980413 
 
 i524 
 
 5i33 
 
 8876 
 
 2765 
 
 6809 
 
 34 
 
 27 
 
 2573 
 
 3171 
 
 4727 
 
 7307 
 
 0983 
 
 i583 
 
 5194 
 
 8940 
 
 283i 
 
 6878 
 
 33 
 
 28 
 
 3075 
 
 3689 
 
 5261 
 
 7859 
 
 i554 
 
 1642 
 
 5255 
 
 9003 
 
 2897 
 
 6947 
 
 32 
 
 29 
 
 3578 
 
 4207 
 
 5796 
 
 84l2 
 
 2126 
 
 1702 
 
 53i7 
 
 9067 
 
 2963 
 
 7016 
 
 3i 
 
 3o 
 
 854o8i 
 
 884725 
 
 9i633i 
 
 948965 
 
 982697 
 
 1.01761 
 
 1.05378 
 
 1. 091 3 1 
 
 i.i3o29 
 
 1. 17085 
 
 3o 
 
 3i 
 
 4584 
 
 5244 
 
 6866 
 
 9518 
 
 3269 
 
 1820 
 
 5439 
 
 9195 
 
 3096 
 
 7154 
 
 29 
 
 32 
 
 5087 
 
 5763 
 
 7402 
 
 g5oo7i 
 
 3842 
 
 1879 
 
 55oi 
 
 9258 
 
 3i62 
 
 7223 
 
 28 
 
 33 
 
 5591 
 
 6282 
 
 7938 
 
 0624 
 
 44i4 
 
 1939 
 
 5562 
 
 9322 
 
 3228 
 
 7292 
 
 27 
 
 34 
 
 6095 
 
 6802 
 
 8474 
 
 1178 
 
 4987 
 
 1998 
 
 5624 
 
 9386 
 
 3295 
 
 7361 
 
 26 
 
 35 
 
 6599 
 
 7321 
 
 9010 
 
 1733 
 
 556o 
 
 2057 
 
 5685 
 
 9450 
 
 336i 
 
 7430 
 
 25 
 
 36 
 
 7104 
 
 7842 
 
 9547 
 
 2287 
 
 6 1 34 
 
 2117 
 
 5747 
 
 95i4 
 
 3428 
 
 7500 
 
 24 
 
 37 
 
 7608 
 
 8362 
 
 920084 
 
 2842 
 
 6708 
 
 2176 
 
 5809 
 
 9578 
 
 3494 
 
 7569 
 
 23 
 
 38 
 
 8ii3 
 
 8882 
 
 0621 
 
 3397 
 
 7282 
 
 2236 
 
 5870 
 
 9642 
 
 356i 
 
 7638 
 
 22 
 
 39 
 
 8619 
 
 94o3 
 
 1159 
 
 3953 
 
 7857 
 
 2295 
 
 5932 
 
 9706 
 
 3627 
 
 7708 
 
 21 
 
 4o 
 
 859124 
 
 889924 
 
 921697 
 
 954508 
 
 988432 
 
 1.02355 
 
 1.05994 
 
 1.09770 
 
 1. 13694 
 
 1. 17777 
 
 20 
 
 4i 
 
 9630 
 
 890446 
 
 2235 
 
 5o64 
 
 9007 
 
 24i4 
 
 6o56 
 
 9834 
 
 3761 
 
 7846 
 
 19 
 
 42 
 
 86oi36 
 
 0967 
 
 2773 
 
 5621 
 
 9582 
 
 2474 
 
 6117 
 
 9899 
 
 3828 
 
 7916 
 
 l8 
 
 43 
 
 0642 
 
 1489 
 
 33i2 
 
 6177 
 
 99oi58 
 
 2533 
 
 6179 
 
 9963 
 
 3894 
 
 7986 
 
 17 
 
 44 
 
 ii48 
 
 2012 
 
 385i 
 
 6734 
 
 0735 
 
 2593 
 
 6241 
 
 1. 10027 
 
 3961 
 
 8o55 
 
 16 
 
 45 
 
 i655 
 
 2534 
 
 4390 
 
 7292 
 
 i3ii 
 
 2653 
 
 63o3 
 
 0091 
 
 4028 
 
 8125 
 
 i5 
 
 46 
 
 2162 
 
 3o57 
 
 4930 
 
 7849 
 
 1888 
 
 2713 
 
 6365 
 
 oi56 
 
 4095 
 
 8194 
 
 i4 
 
 47 
 
 2669 
 
 358o 
 
 5470 
 
 8407 
 
 2465 
 
 2772 
 
 6427 
 
 0220 
 
 4162 
 
 8264 
 
 i3 
 
 48 
 
 3177 
 
 4io3 
 
 6010 
 
 8966 
 
 3o43 
 
 2832 
 
 6489 
 
 0285 
 
 4229 
 
 8334 
 
 12 
 
 49 
 
 3685 
 
 4627 
 
 655i 
 
 9524 
 
 3621 
 
 2892 
 
 655i 
 
 0349 
 
 4296 
 
 84o4 
 
 II 
 
 5o 
 
 864193 
 
 895151 
 
 927091 
 
 960083 
 
 994199 
 
 1.02952 
 
 i.o66i3 
 
 i.io4i4 
 
 1. 14363 
 
 1. 18474 
 
 ID 
 
 5i 
 
 4701 
 
 5675 
 
 7632 
 
 0642 
 
 4778 
 
 3oi2 
 
 6676 
 
 0478 
 
 443o 
 
 8544 
 
 9 
 
 52 
 
 5209 
 
 6199 
 
 8174 
 
 1202 
 
 5357 
 
 3072 
 
 6738 
 
 o543 
 
 4498 
 
 86i4 
 
 8 
 
 53 
 
 5718 
 
 6724 
 
 8715 
 
 1761 
 
 5936 
 
 3i32 
 
 6800 
 
 0607 
 
 4565 
 
 8684 
 
 7 
 
 54 
 
 6227 
 
 7249 
 
 9257 
 
 2322 
 
 65i5 
 
 3192 
 
 6862 
 
 0672 
 
 4632 
 
 8754 
 
 6 
 
 55 
 
 6735 
 
 ' 7774 
 
 9800 
 
 2882 
 
 7095 
 
 3252 
 
 6925 
 
 0737 
 
 4699 
 
 8824 
 
 5 
 
 56 
 
 7246 
 
 8299 
 
 930342 
 
 3443 
 
 7676 
 
 33 1 2 
 
 6987 
 
 0802 
 
 4767 
 
 8894 
 
 4 
 
 57 
 
 7756 
 
 8825 
 
 o885 
 
 4oo4 
 
 8256 
 
 3372 
 
 7049 
 
 0867 
 
 4834 
 
 8964 
 
 3 
 
 58 
 
 8266 
 
 9351 
 
 1428 
 
 4565 
 
 8837 
 
 3433 
 
 7112 
 
 0931 
 
 4902 
 
 9035 
 
 2 
 
 59 
 
 8776 
 
 9877 
 
 1971 
 
 6127 
 
 9418 
 
 3493 
 
 7174 
 
 0996 
 
 4969 
 
 9io5 
 
 I 
 
 49° 
 
 48° 
 
 47° 
 
 46° 
 
 45° 
 
 44° 
 
 4.3° 
 
 42° 
 
 41° 
 
 40° 
 
 
 Natural ( 
 
 >o-tang€ 
 
 mts. 
 
 
 
 
 ^•P;B.38 
 
 tol . 
 
 8.64 
 
 8.92 
 
 9.21 
 
 9.53 
 
 0.99 
 
 1 .02 
 
 1.06 
 
 1. 10 
 
 i.i5 
 
 
126 
 
 
 
 
 Natural Sines. 
 
 
 
 
 
 is 
 o 
 
 50° 
 
 51° 
 
 52° 
 
 53° 
 
 54° 
 
 55° 
 
 56° 
 
 57° 
 
 58° 
 
 59° 
 
 
 7G6044 
 
 777146 
 
 788011 
 
 798636^ 
 
 809017 
 
 819152 
 
 829038 
 
 838671 
 
 
 
 848o48 
 
 
 
 857167 
 
 _ 
 
 60 
 59 
 
 I 
 
 623i 
 
 7329 
 
 75l2 
 
 8190 
 
 8811 
 
 9188 
 
 9319 
 
 9200 
 
 8829 
 
 0202 
 
 7317 
 
 2 
 
 64 1 8 
 
 8369 
 
 8985 
 
 9359 
 
 9486 
 
 9363 
 
 8987 
 
 8356 
 
 7467 
 
 58 
 
 3 
 
 66o5 7605 
 
 8548 
 
 9160 
 
 9530 
 
 9652 
 
 9525 
 
 9146 
 
 85io 
 
 7616 
 
 57 
 
 4 
 
 6792 
 6979 
 7165 
 
 7878 
 
 8727 
 
 9335 
 
 9700 
 
 9819 
 
 9688 
 
 9304 
 
 86G4 
 
 776G 
 
 56 
 
 5 
 
 8060 
 
 8905 
 
 9510 
 
 9871 
 
 9985 
 
 985o 
 
 9462 
 
 8818 
 
 7915 
 
 55 
 
 G 
 
 8243 
 
 9084 
 
 9685 
 
 810042 
 
 820152 
 
 83ooi2 
 
 9620 
 
 8972 
 
 8oG5 
 
 54 
 
 7 
 8 
 
 7352 
 
 8426 
 
 9263 
 
 9859 
 
 0212 
 
 o3i8 
 
 0174 
 
 9778 
 
 9125 
 
 8214 
 
 53 
 
 7538 
 
 7725 
 
 767911 
 
 8608 
 
 9441 
 
 8ooo34 
 
 o383 
 
 o485 
 
 0337 
 
 9936 
 
 9279 
 
 8364 
 
 52 
 
 9 
 
 10 
 
 8791 
 
 9620 
 
 0208 
 
 o553 
 
 o65i 
 
 0499 
 
 840094 
 
 9433 
 
 85i3 
 
 5i 
 
 778973 
 
 789798 
 
 8oo383 
 
 810723 
 
 820817 
 
 83o66i 
 
 84o25i 
 
 849586 858662 
 
 5o 
 
 1 1 
 
 8097 
 
 9i56 
 
 9977 
 
 o557 
 
 0894 
 
 0983 
 
 0823 
 
 0409 
 
 9739 
 
 8811 
 
 49 
 
 12 
 
 8284 
 
 9338 
 
 790155 
 
 0731 
 
 1064 
 
 ii49 
 
 0984 
 
 0567 
 
 9893 
 
 8960 
 
 48 
 
 i3 
 
 8470 
 
 9520 
 
 o333 
 
 0906 
 
 1234 
 
 i3i5 
 
 ii46 
 
 0724 85oo4G| 
 
 9109 
 
 47 
 
 i4 
 
 8656 
 
 9702 
 
 o5i I 
 
 1080 
 
 i4o4 
 
 i48i 
 
 i3o8 
 
 0882 
 
 0199 
 
 9258 
 
 46 
 
 i5 
 
 8842 
 
 9884 
 
 0690 
 
 1254 
 
 1574 
 
 1647 
 
 1470 
 
 1039 
 
 o352 
 
 9406 
 
 45 
 
 i6 
 
 9028 
 
 780067 
 
 0868 
 
 1428 
 
 1744 
 
 i8i3 
 
 i63i 
 
 1196 
 
 o5o5 
 
 9555 
 
 44 
 
 17 
 
 9214 
 
 0249 
 
 io46 
 
 1602 
 
 1914 
 
 1978 
 
 1793 
 
 i354 
 
 o658 
 
 9704 
 
 43 
 
 lb 
 
 9400 
 
 o43o 
 
 1224 
 
 1776 
 
 2084 
 
 2i44 
 
 1954 
 
 i5i I 
 
 0811 
 
 9852 
 
 42 
 
 IQ 
 
 9585 
 
 0612 
 
 i4oi 
 
 1949 
 
 2253 
 
 23lO 
 
 2Il5 
 
 1668 
 
 0964 
 
 860001 
 
 4i 
 
 7 
 
 20 
 
 769771 
 
 780794 
 
 791579 
 
 802123 
 
 812423 
 
 822475 
 
 832277 
 
 841825 
 
 85iii7 
 
 860149 
 
 4o 
 
 21 
 
 9957 
 
 0076 
 
 1757 
 
 2297 
 
 2592 
 
 2641 
 
 2438 
 
 1982 
 
 1269 
 
 0297 
 
 39 
 
 22 
 
 770142 
 
 1137 
 
 1935 
 
 2470 
 
 2762 
 
 2806 
 
 2599 
 
 2139 
 
 l422 
 
 o446 
 
 38 
 
 23 
 
 o328 
 
 1339 
 
 21 12 
 
 2644 
 
 2931 
 
 2971 
 
 2760 
 
 2296 
 
 1575 
 
 0594 
 
 37 
 
 24 
 
 o5i3 
 
 l520 
 
 2290 
 
 2817 
 
 3ioi 
 
 3i36 
 
 2921 
 
 2452 
 
 1727 
 
 0742 
 
 36 
 
 25 
 
 0699 
 
 1702 
 
 2467 
 
 2991 
 
 3270 
 
 33o2 
 
 3082 
 
 2609 
 
 1879 
 
 0890 
 
 35 
 
 26 
 
 0884 
 
 i883 
 
 2644 
 
 3i64 
 
 3439 
 
 3467 
 
 3243 
 
 2766 
 
 2032 
 
 io38 
 
 34 
 
 27 
 
 1069 
 
 2o65 
 
 2822 
 
 3337 
 
 36o8 
 
 3632 
 
 34o4 
 
 2922 
 
 2184 
 
 1186 
 
 33 
 
 28 
 
 1254 
 
 2246 
 
 2999 
 
 35ii 
 
 3778 
 
 3797 
 
 3565 
 
 3079 
 
 233G 
 
 i334 
 
 32 
 
 29 
 
 i44o 
 
 2427 
 
 3176 
 
 3684 
 
 3947 
 
 3961 
 
 3725 
 
 3235 
 
 2488 
 
 i48i 
 
 3i 
 
 3o 
 
 771625 
 
 782608 
 
 793353 
 
 8o3857 
 
 8i4ii6 
 
 824126 
 
 833886 
 
 843391 
 
 852640 
 
 861629 
 
 3o 
 
 3i 
 
 1810 
 
 2789 
 
 353o 
 
 4o3o 
 
 4284 
 
 4291 
 
 4o46 
 
 3548 
 
 2792 
 
 1777 
 
 29 
 
 32 
 
 1995 
 
 2970 
 
 3707 
 
 42o3 
 
 4453 
 
 4456 
 
 4207 
 
 3704 
 
 2944 
 
 1924 
 
 28 
 
 33 
 
 2179 
 
 3i5i 
 
 3884 
 
 4376 
 
 4622 
 
 4620 
 
 4367 
 
 386o 
 
 309G 
 
 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 
 
 4894 
 
 5i28 
 
 5ii3 
 
 4848 
 
 4328 
 
 355i 
 
 25i4 
 
 24 
 
 37 
 
 2918 
 
 3874 
 
 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 
 
 54ii 
 
 5633 
 
 56o6 
 
 5328 
 
 4795 
 
 4oo5 
 
 2955 
 
 21 
 
 4o 
 
 773472 
 
 784416 
 
 795121 
 
 8o5584 
 
 8i58oi 
 
 825770 
 
 835488 
 
 844951 
 
 854i56 
 
 863102 
 
 20 
 
 4i 
 
 3656 
 
 4596 
 
 5297 
 
 5756 
 
 5969 
 
 5934 
 
 5648 
 
 5io6 
 
 43o8 
 
 3249 
 
 19 
 
 42 
 
 384o 
 
 4776 
 
 5473 
 
 5928 
 
 6i38 
 
 6098 
 
 5807 
 
 5262 4459 
 
 3396 
 
 18 
 
 43 
 
 4024 
 
 4957 
 
 565o 
 
 6100 
 
 63o6 
 
 6262 
 
 5967 
 
 5417 46io 
 
 3542 
 
 17 
 
 44 
 
 4209 
 
 5i37 
 
 5826 
 
 6273 
 
 6474 
 
 6426 
 
 6127 
 
 5573 
 
 4761 
 
 3689 
 
 16 
 
 45 
 
 4393 
 
 53x7 
 
 6002 
 
 6445 
 
 6642 
 
 5590 
 
 6286 
 
 5728 
 
 4912 
 
 3836 
 
 i5 
 
 46 
 
 4577 
 
 5497 
 
 6178 
 
 6617 
 
 6809 
 
 6753 
 
 6446 
 
 5883 
 
 5o63 
 
 3982 
 
 i4 
 
 47 
 
 4761 
 
 5677 
 
 6354 
 
 6788 
 
 6977 
 
 6917 
 
 66o5 
 
 6o38 
 
 52i4 
 
 4128 
 
 i3 
 
 48 
 
 4944 
 
 5857 
 
 653o 
 
 6960 
 
 7145 
 
 7081 
 
 6764 
 
 6193 
 
 5364 
 
 4275 
 
 12 
 
 49 
 
 6128 
 
 6037 
 
 6706 
 
 7i32 
 
 73i3 
 
 7244 
 
 6924 
 
 6348 
 
 55i5 
 
 4421 
 
 11 
 
 5o 
 
 775312 
 
 786217 
 
 796882 
 
 807304 
 
 817480 
 
 827407 
 
 837083 
 
 8465o3 
 
 855665 
 
 864567 
 
 10 
 
 5i 
 
 5496 
 
 6396 
 
 7057 
 
 7475 
 
 7648 
 
 7571 
 
 7242 
 
 6658 
 
 58i6 
 
 4713 
 
 9 
 
 52 
 
 5679 
 
 6576 
 
 7233 
 
 7647 
 
 7815 
 
 7734 
 
 7401 
 
 68i3 
 
 5966 
 
 486o 
 
 8 
 
 53 
 
 5863 
 
 6756 
 
 7408 
 
 7818 
 
 7982 
 
 7897 
 
 7560 
 
 6967 
 
 6117 
 
 5oo6 
 
 7 
 
 54 
 
 6o46 
 
 6935 
 
 7584 
 
 7990 
 
 8i5o 
 
 8060 
 
 7719 
 
 7122 
 
 6267 
 
 5i5i 
 
 6 
 
 55 
 
 6230 
 
 711^ 
 
 7759 
 
 8161 
 
 83i7 
 
 8223 
 
 7878 
 
 7277 
 
 6417 
 
 5297 
 
 5 
 
 56 
 
 64i3 
 
 7294 
 
 7935 
 
 8333 
 
 8484 
 
 8386 
 
 8o36 
 
 743i 
 
 6567 
 
 5443 
 
 4 
 
 57 
 
 6596 
 
 7473 
 
 811Q 
 
 85o4 
 
 865i 
 
 8549 
 
 8195 
 
 7585 
 
 6718 
 
 5589 
 
 3 
 
 58 
 
 6780 
 
 7652 
 
 8285 
 
 8675 
 
 8818 
 
 8712 
 
 8354 
 
 7740 
 
 6868 
 
 5734 
 
 2 
 
 59 
 
 6963 
 
 7832 
 
 846o 
 
 8846 
 
 8985 
 
 8875 
 
 85i2 
 
 7894 
 
 7017 
 
 588o 
 
 I 
 
 
 39° 
 
 38° 
 
 37° 
 
 1 
 
 36° 
 
 35° 
 
 34° 
 
 33° 
 
 32° 
 
 31° 
 
 30° 
 
 - 5 
 
 Natural Co-sines, 
 
 ^•f: 3.08 
 to r . 
 
 3.02 
 
 2.96 
 
 2.88 2.81 
 
 2.75 
 
 2.68 
 
 2.60 
 
 2.53 
 
 2.46 
 
 

 
 
 
 Natural 
 
 Tangents. 
 
 
 
 
 127 
 
 a 
 
 5U° 
 
 51° 
 
 52° 
 
 53° 
 
 54° 
 
 55° 
 
 56° 
 
 57° 
 
 68° 
 
 69° 
 
 
 o 
 
 1.19175 
 
 1.23490 
 
 1.27994 
 
 1.32704 
 
 1.37638 
 
 1.42815 
 
 1.48256 
 
 1.53986 
 
 i.6oo33 
 
 1.66428 
 
 60 
 
 I 
 
 9246 
 
 3563 
 
 8071 
 
 2785 
 
 7722 
 
 2903 
 
 8349 
 
 4o85 
 
 oi37 
 
 6538 
 
 59 
 
 58 
 
 2 
 
 9316 
 
 3637 
 
 8i48 
 
 2865 
 
 7807 
 
 2992 
 
 8442 
 
 4i83 
 
 0241 
 
 6647 
 
 3 
 
 9387 
 
 3710 
 
 8225 
 
 2946 
 
 7891 
 
 3o8o 
 
 8536 
 
 4281 
 
 0345 
 
 6767 
 
 57 
 
 4 
 
 9457 
 
 3784 
 
 83o2 
 
 3026 
 
 7976 
 
 3169 
 
 8629 
 
 4379 
 
 0449 
 
 6867 
 
 56 
 
 5 
 
 9528 
 
 3858 
 
 8379 
 
 3107 
 
 8060 
 
 3258 
 
 8722 
 
 4478 
 
 o553 
 
 6978 
 
 56 
 
 6 
 
 9599 
 
 3931 
 
 8456 
 
 3187 
 
 8145 
 
 3347 
 
 8816 
 
 4576 
 
 0657 
 
 7088 
 
 54 
 
 7 
 
 9669 
 
 4oo5 
 
 8533 
 
 3268 
 
 8229 
 
 3436 
 
 8909 
 
 4675 
 
 0761 
 
 7198 
 
 53 
 
 8 
 
 9740 
 
 4079 
 
 8610 
 
 3349 
 
 83i4 
 
 3525 
 
 9003 
 
 4774 
 
 o865 
 
 7309 
 
 62 
 
 9 
 
 9811 
 
 4i53 
 
 8687 
 
 343o 
 
 8399 
 
 36i4 
 
 9097 
 
 4873 
 
 0970 
 
 7419 
 
 61 
 
 10 
 
 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 
 
 3792 
 
 9284 
 
 5071 
 
 1 1 79 
 
 7641 
 
 49 
 
 12 
 
 1.20024 
 
 4375 
 
 8919 
 
 3673 
 
 8653 
 
 388i 
 
 9378 
 
 5170 
 
 1283 
 
 7762 
 
 48 
 
 i3 
 
 0095 
 
 4449 
 
 8997 
 
 3754 
 
 8738 
 
 3970 
 
 9472 
 
 5269 
 
 i388 
 
 7863 
 
 47 
 
 i4 
 
 0166 
 
 4523 
 
 9074 
 
 3835 
 
 8824 
 
 4o6o 
 
 956G 
 
 5368 
 
 1493 
 
 7974 
 
 46 
 
 i5 
 
 0237 
 
 4597 
 
 9i52 
 
 3916 
 
 8909 
 
 4i49 
 
 9661 
 
 5467 
 
 1698 
 
 8o85 
 
 45 
 
 i6 
 
 o3o8 
 
 4672 
 
 9229 
 
 3998 
 
 8994 
 
 4239 
 
 9755 
 
 5567 
 
 1703 
 
 8196 
 
 44 
 
 17 
 
 0379 
 
 4746 
 
 9307 
 
 4079 
 
 9079 
 
 4329 
 
 9849 
 
 5666 
 
 i8o8 
 
 83o8 
 
 43 
 
 i8 
 
 o45i 
 
 4820 
 
 9385 
 
 4 1 60 
 
 9165 
 
 44i8 
 
 9944 
 
 5766 
 
 1914 
 
 8419 
 
 42 
 
 19 
 
 o522 
 
 4895 
 
 9463 
 
 4242 
 
 925o 
 
 45o8 
 
 i.5oo38 
 
 5866 
 
 2019 
 
 863i 
 
 4i 
 
 20 
 
 1.20593 
 
 [.24969 
 
 1. 29541 
 
 1.34323 
 
 1.39336 
 
 1.44598 
 
 i.5oi33 
 
 1.55966 
 
 1.62126 
 
 1.68643 
 
 4o 
 
 21 
 
 o665 
 
 5o44 
 
 9618 
 
 44o5 
 
 9421 
 
 4688 
 
 0228 
 
 6o65 
 
 223o 
 
 8754 
 
 39 
 
 22 
 
 0736 
 
 5ii8 
 
 9696 
 
 4487 
 
 9507 
 
 4778 
 
 o322 
 
 6i65 
 
 2336 
 
 8866 
 
 38 
 
 23 
 
 0808 
 
 5193 
 
 9775 
 
 4568 
 
 9593 
 
 4868 
 
 0417 
 
 6265 
 
 2442 
 
 8979 
 
 37 
 
 24 
 
 0879 
 
 5268 
 
 9853 
 
 465o 
 
 9679 
 
 4958 
 
 05l2 
 
 6366 
 
 2548 
 
 9091 
 
 36 
 
 25 
 
 ogSi 
 
 5343 
 
 9931 
 
 4732 
 
 9764 
 
 5 049 
 
 0607 
 
 6466 
 
 2654 
 
 9203 
 
 35 
 
 26 
 
 1023 
 
 5417 
 
 1.30009 
 
 48i4 
 
 9850 
 
 5i39 
 
 0702 
 
 6566 
 
 2760 
 
 93i6 
 
 34 
 
 27 
 
 1094 
 
 5492 
 
 0087 
 
 4896 
 
 9936 
 
 5229 
 
 0797 
 
 6667 
 
 2866 
 
 9428 
 
 33 
 
 28 
 
 1166 
 
 5567 
 
 0166 
 
 4978 
 
 1.40022 
 
 5320 
 
 0893 
 
 6767 
 
 2972 
 
 9641 
 
 32 
 
 29 
 
 1238 
 
 5642 
 
 0244 
 
 5o6o 
 
 0109 
 
 5410 
 
 0988 
 
 6868 
 
 3079 
 
 9653 
 
 3i 
 
 3o 
 
 I.2l3lO 
 
 1. 25717 
 
 i.3o323 
 
 i.35i42 
 
 1.40195 
 
 1.45501 
 
 i.5io84 
 
 1.56969 
 
 i.63i85 
 
 1.69766 
 
 3o 
 
 3i 
 
 i382 
 
 5792 
 
 o4oi 
 
 5224 
 
 0281 
 
 5592 
 
 1179 
 
 7069 
 
 3292 
 
 9879 
 
 29 
 
 32 
 
 1454 
 
 5867 
 
 o48o 
 
 53o7 
 
 0367 
 
 5682 
 
 1275 
 
 7170 
 
 3398 
 
 9992 
 
 28 
 
 33 
 
 i526 
 
 5943 
 
 o558 
 
 5389 
 
 0454 
 
 5773 
 
 1370 
 
 7271 
 
 35o5 
 
 1. 70106 
 
 27 
 
 34 
 
 1598 
 
 6018 
 
 0637 
 
 5472 
 
 o54o 
 
 5864 
 
 i466 
 
 7372 
 
 36i2 
 
 0219 
 
 26 
 
 35 
 
 1670 
 
 6093 
 
 0716 
 
 5554 
 
 0627 
 
 5955 
 
 i562 
 
 7474 
 
 3719 
 
 o332 
 
 26 
 
 36 
 
 1742 
 
 6169 
 
 0795 
 
 5637 
 
 0714 
 
 6o46 
 
 i658 
 
 7555 
 
 3826 
 
 o446 
 
 24 
 
 37 
 
 i8i4 
 
 6244 
 
 0873 
 
 5719 
 
 0800 
 
 6137 
 
 1754 
 
 7676 
 
 3934 
 
 o56o 
 
 23 
 
 38 
 
 1886 
 
 63i9 
 
 0952 
 
 58o2 
 
 0887 
 
 6229 
 
 i85o 
 
 7778 
 
 4o4i 
 
 0673 
 
 22 
 
 39 
 
 1959 
 
 6395 
 
 io3i 
 
 5885 
 
 0974 
 
 6320 
 
 1946 
 
 7879 
 
 4i48 
 
 0787 
 
 21 
 
 40 
 
 I .22o3l 
 
 1. 26471 
 
 i.3i 1 10 
 
 1.35968 
 
 [.41061 
 
 1.4641 1 
 
 1.52043 
 
 1.57981 
 
 1.64256 
 
 1.7090! 
 
 20 
 
 4i 
 
 2I04 
 
 6546 
 
 1 190 
 
 6o5i 
 
 ii48 
 
 65o3 
 
 2139 
 
 8o83 
 
 4363 
 
 ioi5 
 
 '9 
 
 42 
 
 2176 
 
 6622 
 
 1269 
 
 6i34 
 
 1235 
 
 6595 
 
 2235 
 
 8184 
 
 4471 
 
 1129 
 
 18 
 
 43 
 
 2249 
 
 6698 
 
 1 348 
 
 6217 
 
 l322 
 
 6686 
 
 2332 
 
 8286 
 
 4579 
 
 1244 
 
 17 
 
 44 
 
 2321 
 
 6774 
 
 1427 
 
 63oo 
 
 1409 
 
 6778 
 
 2429 
 
 8388 
 
 4687 
 
 i358 
 
 16 
 
 45 
 
 2394 
 
 6849 
 
 i5o7 
 
 6383 
 
 1497 
 
 6870 
 
 2525 
 
 8490 
 
 4796 
 
 1473 
 
 16 
 
 46 
 
 2467 
 
 6925 
 
 i586 
 
 6466 
 
 i584 
 
 6962 
 
 2622 
 
 8593 
 
 4903 
 
 1688 
 
 i4 
 
 47 
 
 2539 
 
 7001 
 
 1666 
 
 6549 
 
 1672 
 
 7053 
 
 2719 
 
 8695 
 
 601 1 
 
 1702 
 
 i3 
 
 48 
 
 2612 
 
 7077 
 
 1745 
 
 6633 
 
 1759 
 
 7146 
 
 2816 
 
 8797 
 
 6120 
 
 1817 
 
 12 
 
 49 
 
 2685 
 
 7153 
 
 1825 
 
 6716 
 
 1847 
 
 7238 
 
 2913 
 
 8900 
 
 6228 
 
 1932 
 
 1 1 
 
 5o 
 
 1.22758 
 
 1.27230 
 
 1. 31904 
 
 r.368oo 
 
 1.41934 
 
 1.47330 
 
 i.53oio 
 
 1.69002 
 
 1.65337 
 
 1.72047 
 
 10 
 
 5i 
 
 283i 
 
 7306 
 
 1984 
 
 6883 
 
 2022 
 
 7422 
 
 3107 
 
 9105 
 
 5445 
 
 2 1 63 
 
 9 
 
 52 
 
 2904 
 
 7382 
 
 2064 
 
 6967 
 
 21 10 
 
 75i4 
 
 32o5 
 
 9208 
 
 6554 
 
 2278 
 
 8 
 
 53 
 
 2977 
 
 7458 
 
 2i44 
 
 7o5o 
 
 2198 
 
 7607 
 
 33o2 
 
 9311 
 
 6663 
 
 2393 
 
 7 
 
 54 
 
 3o5o 
 
 7535 
 
 2224 
 
 7134 
 
 2286 
 
 7699 
 
 3400 
 
 94i4 
 
 6772 
 
 2609 
 
 6 
 
 55 
 
 3i23 
 
 761 1 
 
 23o4 
 
 7218 
 
 2374 
 
 7792 
 
 3497 
 
 9517 
 
 6881 
 
 2626 
 
 5 
 
 56 
 
 3196 
 
 7688 
 
 2384 
 
 7302 
 
 2462 
 
 7885 
 
 3595 
 
 9620 
 
 6990 
 
 2741 
 
 4 
 
 57 
 
 3270 
 
 7764 
 
 2464 
 
 7386 
 
 255o 
 
 7977 
 
 3693 
 
 9723 
 
 6099 
 
 2867 
 
 3 
 
 58 
 
 3343 
 
 7841 
 
 2544 
 
 7470 
 
 2638 
 
 8070 
 
 3791 
 
 9826 
 
 6209 
 
 2973 
 
 2 
 
 59 
 
 34i6 
 
 7917 
 
 2624 
 
 7554 
 
 2726 
 
 8i63 
 
 3888 
 
 9930 
 
 63 1 8 
 
 3089 
 
 1 
 
 
 39° 
 
 38° 
 
 37° 
 
 36° 
 
 35° 
 
 34° 
 
 33° 
 
 32° 
 
 31° 
 
 30° 
 
 5 
 
 
 
 
 
 Na 
 
 tural C( 
 
 D-tangei 
 
 its. 
 
 
 
 
 P.] 
 
 tol 
 
 3 
 
 ,; 1.20 
 
 1.25 
 
 i.3i 
 
 1.37 
 
 1.44 
 
 ,.5. 
 
 1.59 
 
 1.68 
 
 1.78 
 
 1.88 
 
 
128 
 
 
 
 
 Natural Sines. 
 
 
 
 
 
 a 
 
 60° 
 
 (51° 
 
 62° 
 
 63° 
 
 64° 
 
 65° 
 
 66° 
 
 67° 
 
 68° 
 
 69° 
 
 o 
 
 866025 
 
 874620 
 
 882948 
 
 891007 
 
 898794 
 
 9o63o8 
 
 913545 
 
 92o5o5 
 
 927184 
 
 933580 
 
 60 
 
 I 
 
 6171 
 
 4761 
 
 3o84 
 
 1139 
 
 8922 
 
 643i 
 
 3664 
 
 0618 
 
 7293 
 
 3685 
 
 59 
 
 2 
 
 63i6 
 
 4902 
 
 3221 
 
 1270 
 
 9049 
 
 6554 
 
 3782 
 
 0732 
 
 7402 
 
 3789 
 
 58 
 
 3 
 
 646 1 
 
 5o42 
 
 3357 
 
 l4o2 
 
 9176 
 
 6676 
 
 3900 
 
 o846 
 
 75io 
 
 3893 
 
 57 
 
 4 
 
 6607 
 
 5i83 
 
 3493 
 
 i534 
 
 9304 
 
 6799 
 
 4oi8 
 
 0959 
 
 7619 
 
 3997 
 
 56 
 
 5 
 
 6752 
 
 5324 
 
 3629 
 
 1666 
 
 943i 
 
 6922 
 
 4i36 
 
 1072 
 
 7728 
 
 4ioi 
 
 55 
 
 6 
 
 6897 
 
 5465 
 
 3766 
 
 1798 
 
 9558 
 
 7044 
 
 4254 
 
 ii85 
 
 78361 4204 
 
 54 
 
 7 
 
 7042 
 
 56o5 
 
 3902 
 
 1929 
 
 9685 
 
 7166 
 
 4372 
 
 1299 
 
 7945: 43o8 
 
 53 
 
 8 
 
 7187 
 
 5746 
 
 4o38 
 
 2061 
 
 9812 
 
 7289 
 
 4490 
 
 l4l2 
 
 8o53! 44i2 
 
 52 
 
 9 
 
 7331 
 
 5886 
 
 4174 
 
 2192 
 
 9939 
 
 74 1 1 
 
 4607 
 
 i525 
 
 8161 
 
 45i5 
 
 5i 
 
 lo 
 
 867476 
 
 876026 
 
 884309 
 
 892323 
 
 900065 
 
 907533 
 
 914725 
 
 921638 
 
 928270 934619 
 
 5o 
 
 1 1 
 
 7621 
 
 6167 
 
 4445 
 
 2455 
 
 0192 
 
 7655 
 
 4842 
 
 1750 
 
 8378: 4722 
 
 49 
 
 12 
 
 7765 
 
 63o7 
 
 458i 
 
 2586 
 
 o3i9 
 
 7777 
 
 4960 
 
 i863 
 
 8486; 4826 
 
 48 
 
 i3 
 
 7910 
 
 6447 
 
 4717 
 
 2717 
 
 0445 
 
 7899 
 
 5077 
 
 1976 
 
 8594 4929 
 
 47 
 
 i4 
 
 8o54 
 
 6587 
 
 4852 
 
 2848 
 
 0572 
 
 8021 
 
 5194 
 
 2088 
 
 8702 5o32 
 
 46 
 
 i5 
 
 8199 
 
 6727 
 
 4988 
 
 2979 
 
 0698 
 
 8143 
 
 53ii 
 
 2201 
 
 8810 
 
 5i35 
 
 45 
 
 i6 
 
 8343 
 
 6867 
 
 5i23 
 
 3iio 
 
 0825 
 
 8265 
 
 5429 
 
 23i3 
 
 8917 
 
 5238 
 
 44 
 
 I? 
 
 8487 
 
 7006 
 
 5258 
 
 324l 
 
 0951 
 
 8387 
 
 5546 
 
 2426 
 
 90251 534i 
 
 43 
 
 i8 
 
 8632 
 
 7146 
 
 5394 
 
 3371 
 
 1077 
 
 85o8 
 
 5663 
 
 2538 
 
 9133 5444 
 
 42 
 
 '9 
 
 8776 
 
 7286 
 
 5529 
 
 35o2 
 
 1203 
 
 863o 
 
 5779 
 
 265o 
 
 9240 5547 
 
 4i 
 
 20 
 
 868920 
 
 877425 
 
 885664 
 
 893633 
 
 901329 
 
 908751 
 
 915896 
 
 922762 
 
 929348: 93565o 
 
 4o 
 
 21 
 
 9064 
 
 7565 
 
 5799 
 
 3763 
 
 1455 
 
 8872 
 
 6oi3 
 
 2875 
 
 9455! 5752 
 
 39 
 
 22 
 
 9207 
 
 7704 
 
 5934 
 
 3894 
 
 i58i 
 
 8994 
 
 6i3o 
 
 2986 
 
 9562 5855 
 
 38 
 
 23 
 
 9351 
 
 7844 
 
 6069 
 
 4o24 
 
 1707 
 
 91 15 
 
 6246 
 
 3098 
 
 9669 5957 
 
 37 
 
 24 
 
 9495 
 
 7983 
 
 6204 
 
 4i54 
 
 i833 
 
 9236 
 
 6363 
 
 3210 
 
 97761 6060 
 
 36 
 
 25 
 
 9639 
 
 8122 
 
 6338 
 
 4284 
 
 1958 
 
 9357 
 
 6479 
 
 3322 
 
 9884 6162 
 
 35 
 
 26 
 
 9782 
 
 8261 
 
 6473 
 
 44i5 
 
 2084 
 
 9478 
 
 6595 
 
 3434 
 
 9990 6264 
 
 34 
 
 27 
 
 9926 
 
 84oo 
 
 6608 
 
 4545 
 
 2209 
 
 9599 
 
 6712 
 
 3545 
 
 930097 6366 
 
 33 
 
 28 
 
 870069 
 
 8539 
 
 6742 
 
 4675 
 
 2335 
 
 9720 
 
 6828 
 
 3657 
 
 0204 
 
 6468 
 
 32 
 
 29 
 
 0212 
 
 8678 
 
 6876 
 
 48o5 
 
 2460 
 
 9841 
 
 6944 
 
 3768 
 
 o3i 1 
 
 6570 
 
 3i 
 
 3o 
 
 870356 
 
 878817 
 
 887011 
 
 894934 
 
 902585 
 
 909961 
 
 917060 
 
 923880 
 
 93o4i8 
 
 936672 
 
 3o 
 
 3i 
 
 0499 
 
 8956 
 
 7145 
 
 5o64 
 
 2710 
 
 910082 
 
 7176 
 
 3991 
 
 o524 6774 
 
 29 
 
 32 
 
 0642 
 
 9095 
 
 7279 
 
 5194 
 
 2836 
 
 0202 
 
 7292 
 
 4 102 
 
 o63i 
 
 6876 
 
 28 
 
 33 
 
 0785 
 
 9233 
 
 74i3 
 
 5323 
 
 2961 
 
 o323 
 
 7408 
 
 42l3 
 
 0737 
 
 6977 
 
 27 
 
 34 
 
 0928 
 
 9372 
 
 7548 
 
 5453 
 
 3o86 
 
 o443 
 
 7523 
 
 4324 
 
 0843 
 
 7079 
 
 26 
 
 35 
 
 1071 
 
 9510 
 
 7681 
 
 5582 
 
 3210 
 
 o563 
 
 7639 
 
 4435 
 
 0950 
 
 7181 
 
 25 
 
 36 
 
 I2l4 
 
 9649 
 
 7815 
 
 5712 
 
 3335 
 
 0684 
 
 7755 
 
 4546 
 
 io56 
 
 7282 
 
 24 
 
 37 
 
 1357 
 
 9787 
 
 7949 
 
 584i 
 
 3460 
 
 o8o4 
 
 7870 
 
 4657 
 
 1 162 
 
 7383 
 
 23 
 
 38 
 
 1499 
 
 9925 
 
 8o83 
 
 5970 
 
 3585 
 
 0924 
 
 7986 
 
 4768 
 
 1268 
 
 7485 
 
 22 
 
 39 
 
 1642 
 
 88oo63 
 
 8217 
 
 6099 
 
 3709 
 
 1044 
 
 8101 
 
 4878 
 
 1374 
 
 7586 
 
 21 
 
 4o 
 
 871784 
 
 880201 
 
 888350 
 
 896229 
 
 903834 
 
 911164 
 
 918216 
 
 924989 
 
 93i48o 
 
 937687 
 
 20 
 
 4i 
 
 1927 
 
 0339 
 
 8484 
 
 6358 
 
 3958 
 
 1284 
 
 833i 
 
 5o99 
 
 i586 
 
 7788 
 
 '9 
 
 42 
 
 2069 
 
 0477 
 
 8617 
 
 6486 
 
 4o83 
 
 i4o3 
 
 8446 
 
 5210 
 
 1691 
 
 7889 
 
 18 
 
 43 
 
 2212 
 
 o6i5 
 
 8751 
 
 66i5 
 
 4207 
 
 i523 
 
 856i 
 
 5320 
 
 1797 
 
 7990 
 
 17 
 
 44 
 
 2354 
 
 0753 
 
 8884 
 
 6744 
 
 433i 
 
 1643 
 
 8676 
 
 543o 
 
 1902 
 
 8091 
 
 16 
 
 45 
 
 2496 
 
 0891 
 
 9017 
 
 6873 
 
 4455 
 
 1762 
 
 8791 
 
 5541 
 
 2008 
 
 8191 
 
 i5 
 
 46 
 
 2638 
 
 1028 
 
 9i5o 
 
 7001 
 
 4579 
 
 1881 
 
 8906 
 
 565i 
 
 2Il3 
 
 8292 
 
 i4 
 
 4? 
 
 2780 
 
 1166 
 
 9283 
 
 7i3o 
 
 4703 
 
 2001 
 
 9021 
 
 5761 
 
 2219 
 
 8393 
 
 i3 
 
 48 
 
 2922 
 
 i3o3 
 
 9416 
 
 7258 
 
 4827 
 
 2120 
 
 9135 
 
 5871 
 
 2324 
 
 8493 
 
 12 
 
 49 
 
 3o64 
 
 i44i 
 
 9549 
 
 7387 
 
 4951 
 
 2239 
 
 9250 
 
 5980 
 
 2429 
 
 8593 
 
 II 
 
 5o 
 
 873206 
 
 881578 
 
 889682 
 
 897515 
 
 905075 
 
 912358 
 
 919364 
 
 926090 
 
 932534 
 
 938694 
 
 10 
 
 5i 
 
 3347 
 
 1716 
 
 9815 
 
 7643 
 
 5198 
 
 2477 
 
 9479 
 
 6200 
 
 2639 
 
 8794 
 
 9 
 
 52 
 
 3489 
 
 i853 
 
 9948 
 
 7771 
 
 5322 
 
 2596 
 
 9593 
 
 63io 
 
 2744 
 
 8894 
 
 8 
 
 53 
 
 363i 
 
 1990 
 
 890080 
 
 7900 
 
 5445 
 
 2715 
 
 9707 
 
 6419 
 
 2849 
 
 8994 
 
 7 
 
 54 
 
 3772 
 
 2127 
 
 02 1 3 
 
 8028 
 
 5569 
 
 2834 
 
 9821 
 
 6529 
 
 2954 
 
 9094 
 
 6 
 
 55 
 
 3914 
 
 2264 
 
 o345 
 
 8t56 
 
 5692 
 
 2953 
 
 9936 
 
 6638 
 
 3o58 
 
 9194 
 
 5 
 
 56 
 
 4o55 
 
 24oi 
 
 0478 
 
 8283 
 
 58i5 
 
 3072 
 
 92oo5o 
 
 6747 
 
 3i63 
 
 9294 
 
 4 
 
 5? 
 
 4196 
 
 2538 
 
 0610 
 
 84ii 
 
 5939 
 
 3190 
 
 0164 
 
 6857 
 
 3267 
 
 9394 
 
 3 
 
 58 
 
 4338 
 
 2674 
 
 0742 
 
 8539 
 
 6062 
 
 3309 
 
 0277 
 
 6966 
 
 3372 
 
 9493 
 
 2 
 
 59 
 
 4479 
 
 2811 
 
 0874 
 
 8666 
 
 6i85 
 
 3427 
 
 0391 
 
 7075 
 
 3476 
 
 9593 
 
 I 
 
 
 29° 
 
 28° 
 
 27° 
 
 26° 
 
 25° 
 
 24° 
 
 23° 
 
 22° 
 
 21° 
 
 20° 
 
 a 
 
 ii 
 
 
 
 ^ 
 
 Natural 
 
 Co-sinet 
 
 ?. 
 
 
 
 l!i-'9 
 
 2.3l 
 
 2.24 
 
 2. 16 
 
 2 .09 
 
 2.01 
 
 1.93 
 
 1.86 
 
 1.78 
 
 1 .70 
 
 

 
 
 
 JST ATUKAL 
 
 Tangents. 
 
 
 
 
 129 
 
 
 60° 
 
 61° 
 
 62° 
 
 63° 
 
 64° 
 
 65° 
 
 66° 
 
 67° 
 
 68° 
 
 69° 
 
 
 O 
 
 1.73205 
 
 i.8o4o5 
 
 1.88073 
 
 1. 96261 
 
 2.o5o3o 
 
 2.i445i 
 
 2.24604 
 
 2.35585 
 
 2.47509 
 
 3.6o5o9 
 
 60 
 
 1 
 
 3321 
 
 0529 
 
 8205 
 
 64o2 
 
 5182 
 
 46i4 
 
 4780 
 
 5776 
 
 7716 
 
 0736150! 
 
 2 
 
 3438 
 
 o653 
 
 8337 
 
 6544 
 
 5333 
 
 4777 
 
 4956 
 
 5967 
 
 7924 
 
 oq63 
 
 58 
 
 3 
 
 3555 
 
 0777 
 
 8469 
 
 6685 
 
 5485 
 
 4940 
 
 5i32 
 
 6i58 
 
 8 1 32 
 
 1 1 90 
 
 5? 
 
 4 
 
 3671 
 
 0901 
 
 8602 
 
 6827 
 
 5637 
 
 5io4 
 
 5309 
 
 6349 
 
 834o 
 
 i4i8 
 
 56 
 
 5 
 
 3788 
 
 I025 
 
 8734 
 
 6969 
 
 5790 
 
 5268 
 
 5486 
 
 654i 
 
 8549 
 
 1646 55 
 
 6 
 
 3905 
 
 1 i5o 
 
 8867 
 
 71 1 1 
 
 5942 
 
 5432 
 
 5663 
 
 6733 
 
 8758 
 
 187454 
 
 7 
 
 4o22 
 
 1274 
 
 9000 
 
 7253 
 
 6094 
 
 5596 
 
 584o 
 
 6925 
 
 8967 
 
 2io3 53 
 
 8 
 
 4i4o 
 
 1399 
 
 9133 
 
 7395 
 
 6247 
 
 5760 
 
 6018 
 
 7118 
 
 9177 
 
 2882 
 
 52 
 
 9 
 
 4257 
 
 1 524 
 
 9266 
 
 7538 
 
 64oo 
 
 5925 
 
 6196 
 
 7811 
 
 9886 
 
 256i 
 
 5i 
 
 10 
 
 r. 74375 
 
 1. 81649 
 
 1.89400 
 
 1. 97681 
 
 2.06553 
 
 2.16090 
 
 2.26374 
 
 2.37504 
 
 2.49597 
 
 3.62791 
 
 5o 
 
 1 1 
 
 449'-i 
 
 1774 
 
 9533 
 
 7823 
 
 6706 
 
 6255 
 
 6552 
 
 7697 
 
 9807 
 
 8021 
 
 49 
 
 12 
 
 4G10 
 
 1899 
 
 9667 
 
 7966 
 
 6860 
 
 6420 
 
 6780 
 
 7891 
 
 2.5ooi8 
 
 8252 
 
 48 
 
 i3 
 
 4728 
 
 2025 
 
 9801 
 
 8110 
 
 7014 
 
 6585 
 
 6909 
 
 8084 
 
 0229 
 
 3488 
 
 47 
 
 i4 
 
 4846 
 
 2l5o 
 
 9935 
 
 8253 
 
 7167 
 
 6751 
 
 7088 
 
 8279 
 
 o44o 
 
 8714 
 
 46 
 
 i5 
 
 4964 
 
 2276 
 
 1.90069 
 
 8396 
 
 7321 
 
 6917 
 
 7267 
 
 8473 
 
 o652 
 
 3945 
 
 45 
 
 i6 
 
 5o82 
 
 2402 
 
 0203 
 
 854o 
 
 7476 
 
 7083 
 
 7447 
 
 8668 
 
 0864 
 
 4177 
 
 44 
 
 17 
 
 5 2 00 
 
 2528 
 
 0337 
 
 8684 
 
 7630 
 
 7249 
 
 7626 
 
 8863 
 
 1076 
 
 44 10 
 
 43 
 
 i8 
 
 53i9 
 
 2654 
 
 0472 
 
 8828 
 
 7785 
 
 7416 
 
 7806 
 
 9o58 
 
 1289 
 
 4642 
 
 42 
 
 19 
 
 5437 
 
 2780 
 
 0607 
 
 8972 
 
 7939 
 
 7582 
 
 7987 
 
 9253 
 
 l502 
 
 4875 
 
 4i 
 
 20 
 
 1.75556 
 
 t. 82906 
 
 1. 90741 
 
 1. 991 16 
 
 2.08094 
 
 2.17749 
 
 2.28167 
 
 2.39449 
 
 2.5i7i5 
 
 2.65i09 
 
 4o 
 
 21 
 
 5675 
 
 3o33 
 
 0876 
 
 9261 
 
 825o 
 
 7916 
 
 8348 
 
 9645 
 
 1929 
 
 5342 
 
 89 
 
 22 
 
 5794 
 
 3i59 
 
 I0I2 
 
 9406 
 
 84o5 
 
 8084 
 
 8528 
 
 9841 
 
 2142 
 
 5576 
 
 88 
 
 23 
 
 5913 
 
 3286 
 
 ii47 
 
 9550 
 
 856o 
 
 825i 
 
 8710 
 
 2.4oo38 
 
 2857 
 
 58ii 
 
 37 
 
 24 
 
 6o32 
 
 34i3 
 
 1282 
 
 9695 
 
 8716 
 
 8419 
 
 8891 
 
 0235 
 
 2571 
 
 6o46 
 
 36 
 
 25 
 
 6i5i 
 
 3540 
 
 i4i8 
 
 9841 
 
 8872 
 
 8587 
 
 9073 
 
 o432 
 
 2786 
 
 6281 
 
 35 
 
 26 
 
 6271 
 
 3667 
 
 i554 
 
 9986 
 
 9028 
 
 8755 
 
 9254 
 
 0629 
 
 3ooi 
 
 65i6 
 
 34 
 
 27 
 
 6390 
 
 3794 
 
 1690 
 
 2.00l3l 
 
 9184 
 
 8923 
 
 9437 
 
 0827 
 
 8217 
 
 6752 
 
 33 
 
 28 
 
 65io 
 
 3922 
 
 1826 
 
 0277 
 
 9341 
 
 9092 
 
 9619 
 
 1025 
 
 8482 
 
 6989 
 
 32 
 
 29 
 
 663o 
 
 4o49 
 
 1962 
 
 o423 
 
 9498 
 
 9261 
 
 9801 
 
 1223 
 
 8648 
 
 7225 
 
 3i 
 
 3o 
 
 r.76749 
 
 1. 84177 
 
 1.92098 
 
 2.00569 
 
 2.09654 
 
 2.19430 
 
 2.29984 
 
 2.4142I 
 
 2.53865 
 
 2.67462 
 
 80 
 
 3i 
 
 6869 
 
 43o5 
 
 2235 
 
 0715 
 
 9811 
 
 9599 
 
 2.30167 
 
 1620 
 
 4082 
 
 7700 
 
 29 
 
 32 
 
 6990 
 
 4433 
 
 2371 
 
 0862 
 
 9969 
 
 9769 
 
 o35i 
 
 1819 
 
 4299 
 
 7987 
 
 28 
 
 33 
 
 71 10 
 
 456i 
 
 25o8 
 
 1008 
 
 2.10126 
 
 9938 
 
 o534 
 
 2019 
 
 45i6 
 
 8175 
 
 27 
 
 34 
 
 723o 
 
 4689 
 
 2645 
 
 ii55 
 
 0284 
 
 2.20108 
 
 0718 
 
 2218 
 
 4734 
 
 84i4 
 
 26 
 
 35 
 
 735i 
 
 48i8 
 
 2782 
 
 l302 
 
 o442 
 
 0278 
 
 0902 
 
 2418 
 
 4952 
 
 8653 
 
 25 
 
 36 
 
 7471 
 
 4946 
 
 2920 
 
 i449 
 
 0600 
 
 0449 
 
 1086 
 
 2618 
 
 5170 
 
 8892 
 
 24 
 
 37 
 
 7592 
 
 5075 
 
 3o57 
 
 1596 
 
 0758 
 
 0619 
 
 1271 
 
 2819 
 
 5389 
 
 9181 
 
 23 
 
 38 
 
 7713 
 
 52o4 
 
 3195 
 
 1743 
 
 ogi6 
 
 0790 
 
 i456 
 
 3019 
 
 56o8 
 
 9871 
 
 22 
 
 39 
 
 7834 
 
 5333 
 
 3332 
 
 1891 
 
 1075 
 
 0961 
 
 i64i 
 
 3220 
 
 5827 
 
 9612 
 
 21 
 
 40 
 
 1.77955 
 
 1.85462 
 
 1.93470 
 
 2.02039 
 
 2.11233 
 
 2.2Il32 
 
 2.31826 
 
 2.43422 
 
 2.56o46 
 
 2.69853 
 
 20 
 
 41 
 
 8077 
 
 5591 
 
 36o8 
 
 2187 
 
 1892 
 
 i3o4 
 
 2012 
 
 3623 
 
 6266 
 
 2.70094 
 
 '9 
 
 42 
 
 8198 
 
 5720 
 
 3746 
 
 2335 
 
 i552 
 
 1475 
 
 2197 
 
 3825 
 
 6487 
 
 o835 
 
 18 
 
 43 
 
 8319 
 
 585o 
 
 3885 
 
 2483 
 
 1711 
 
 1647 
 
 2383 
 
 4027 
 
 6707 
 
 0577 
 
 17 
 
 44 
 
 844i 
 
 5979 
 
 4o23 
 
 263i 
 
 1871 
 
 1819 
 
 2570 
 
 4280 
 
 6928 
 
 0819 
 
 16 
 
 45 
 
 8563 
 
 6109 
 
 4162 
 
 2780 
 
 2o3o 
 
 1992 
 
 2756 
 
 4433 
 
 7i5o 
 
 1062 
 
 i5 
 
 46 
 
 8685 
 
 6239 
 
 43oi 
 
 2929 
 
 2190 
 
 2164 
 
 2943 
 
 4636 
 
 7871 
 
 i8o5 
 
 i4 
 
 47 
 
 8807 
 
 6369 
 
 4440 
 
 3078 
 
 235o 
 
 2337 
 
 3i3o 
 
 4889 
 
 7598 
 
 i548 
 
 18 
 
 48 
 
 8929 
 
 6499 
 
 4579 
 
 3227 
 
 25ll 
 
 25lO 
 
 33i7 
 
 5o43 
 
 7815 
 
 1792 
 
 12 
 
 49 
 
 905 1 
 
 663o 
 
 4718 
 
 3376 
 
 2671 
 
 2683 
 
 35o5 
 
 5246 
 
 8088 
 
 2086 
 
 II 
 
 5o 
 
 1. 79174 
 
 1.86760 
 
 1.94858 
 
 2.03526 
 
 2.12832 
 
 2.22857 
 
 2.33693 
 
 2.45451 
 
 2.58261 
 
 2.72281 
 
 10 
 
 5i 
 
 9296 
 
 6891 
 
 4997 
 
 3675 
 
 2993 
 
 3o3o 
 
 388i 
 
 5655 
 
 8484 
 
 2526 
 
 9 
 
 52 
 
 9419 
 
 7021 
 
 5i37 
 
 3825 
 
 3i54 
 
 32o4 
 
 4069 
 
 586o 
 
 8708 
 
 2771 
 
 8 
 
 53 
 
 9542 
 
 7i52 
 
 5277 
 
 3975 
 
 33i6 
 
 3378 
 
 4258 
 
 6o65 
 
 8982 
 
 8017 
 
 7 
 
 54 
 
 9665 
 
 7283 
 
 5417 
 
 4i25 
 
 3477 
 
 3553 
 
 4447 
 
 6270 
 
 9i56 
 
 3263 
 
 6 
 
 55 
 
 9788 
 
 74i5 
 
 5557 
 
 4276 
 
 3639 
 
 3727 
 
 4636 
 
 6476 
 
 9881 
 
 3509 
 
 5 
 
 56 
 
 9911 
 
 7546 
 
 5698 
 
 4426 
 
 38oi 
 
 3902 
 
 4825 
 
 6682 
 
 9606 
 
 3756 
 
 4 
 
 57 
 
 1.80034 
 
 7677 
 
 5838 
 
 4577 
 
 3963 
 
 4077 
 
 5oi5 
 
 6888 
 
 9881 
 
 4oo4 
 
 3 
 
 58 
 
 oi58 
 
 7809 
 
 6979 
 
 4728 
 
 4i25 
 
 4252 
 
 52o5 
 
 7095 
 
 2.60057 
 
 425i 
 
 2 
 
 59 
 
 0281 
 
 7941 
 
 6120 
 
 4879 
 
 4288 
 
 4428 
 
 5395 
 
 7802 
 
 0288 
 
 4499 
 
 I 
 
 
 •2{\° 
 
 28° 
 
 27° 
 
 26° 
 
 25° 
 
 24° 
 
 23° 
 
 22° 
 
 21° 
 
 20° 
 
 i 
 
 
 
 
 
 Na 
 
 tural C( 
 
 D-tanger 
 
 its. 
 
 
 
 
 P.] 
 
 tol 
 
 p 
 
 ,* 2.00 
 
 2.l3 
 
 2.27 
 
 2.44 
 
 2.62 
 
 2.82 
 
 3.o5 
 
 3.3i 
 
 3.61 
 
 3.95 
 
 
130 
 
 
 
 Natural Sines. 
 
 
 
 
 
 a 
 O 
 
 70° 71° 
 
 72° 
 
 73° 
 
 74° 75° 
 
 76° 
 
 77° 
 
 78° 
 
 79° 
 
 939693 
 
 Q7Q2 
 
 945519 
 
 951057 9563o5 96i262[ 965926 
 
 970296 
 
 974370 
 
 978148 
 
 981627 60 
 
 I 
 
 ' 56i3 
 
 , ii4ti 
 
 6390' i342 
 
 6001 
 
 o366 
 
 4435 
 
 8208 
 
 i683 59 
 
 2 
 
 y ' 7 
 
 9891 
 
 5708 
 
 I23G 
 
 6475 
 
 l422 
 
 6076 
 
 o436 
 
 45oi 
 
 8268 
 
 1738,58 
 
 3 
 
 9991 
 
 58o2 
 
 i326 
 
 656o 
 
 l502 
 
 6i5i 
 
 o5o6 
 
 4566 
 
 8329 
 
 1793' 57 
 
 4 
 
 77/ 
 
 940090 
 
 6897 
 
 i4i5 
 
 6644 
 
 i582 
 
 6226 
 
 0577 
 
 463i 
 
 8389 
 
 1849 56 
 
 5 
 
 0189 
 
 5991 
 
 i5o5 
 
 6729 
 
 1662 
 
 63oi 
 
 0647 
 
 4696 
 
 8449 
 
 1904 55 
 
 6 
 
 0288 
 
 6o85 
 
 1594 
 
 6814 
 
 1 74 1 
 
 6376 
 
 0716 
 
 4761 
 
 85o9 
 
 1959 54 
 
 7 
 
 0387 
 
 6180 
 
 i684 
 
 6898 
 
 I82I 
 
 645i 
 
 0786 
 
 4826 
 
 8569 
 
 2014 53 
 
 8 
 
 o486 
 
 6274 
 
 1773 
 
 6983 
 
 1901 
 
 6526 
 
 o856 
 
 4891 
 
 8629 
 
 2069 52 
 
 9 
 
 o585 
 
 6368 
 
 1862 
 
 7067 
 
 1980 
 
 6600 
 
 0926 
 
 4956 
 
 8689 
 
 2123; 5i 
 
 lO 
 
 940684 
 
 ' 946462 
 
 951951 
 
 957151 
 
 962059 
 
 966675 
 
 970995 
 
 975020 
 
 978748 
 
 982178 5o 
 
 II 
 
 0782 
 
 1 6555 
 
 204o 
 
 7235 
 
 2i39 
 
 6749 
 
 io65 
 
 5o85 
 
 8808 
 
 2233i49 
 
 12 
 
 o83i 
 
 1 6649 
 
 2129 
 
 7319 
 
 2218 
 
 6823 
 
 ii34 
 
 5i49 
 
 8867 
 
 2287'48 
 
 i3 
 
 0979 
 
 6743 
 
 2218 
 
 74o4 
 
 2297 
 
 6898 
 
 I204 
 
 52i4 
 
 8927 
 
 2342U7 
 
 i4 
 
 1078 
 
 6837 
 
 23o7 
 
 7487 
 
 2376 
 
 6972 
 
 1273 
 
 5278 
 
 8986 
 
 2396' 46 
 
 i5 
 
 1 176 
 
 6930 
 
 2396 
 
 7571 
 
 2455 
 
 7046 
 
 1342 
 
 5342 
 
 9045 
 
 245o 45 
 
 i6 
 
 1274 
 
 7024 
 
 2484 
 
 7655 
 
 2534 
 
 7120 
 
 i4i I 
 
 5406 
 
 9105 
 
 25o5 44 
 
 '7 
 
 1372 
 
 7117 
 
 2573 
 
 7739 
 
 2613 
 
 7194 
 
 i48o 
 
 5471 
 
 9164 
 
 2559 43 
 
 i8 
 
 1471 
 
 7210 
 
 2661 
 
 7822 
 
 2692 
 
 7268 
 
 i549 
 
 5535 
 
 9223 
 
 2613:42 
 
 '9 
 
 1569 
 
 73o4 
 
 2750 
 
 7906 
 
 2770 
 
 7342 
 
 1618 
 
 5598 
 
 9282 
 
 2667' 4i 
 
 20 
 
 941666 
 
 947397 
 
 952838 
 
 957990 
 
 962849 
 
 967415 
 
 971687 
 
 975662 
 
 979341 
 
 982721^40 
 
 21 
 
 1764 
 
 7490 
 
 2926 
 
 8073 
 
 2928 
 
 7489 
 
 1755 
 
 5726 
 
 9399 
 
 2774 39 
 
 22 
 
 1862 
 
 7583 
 
 3oi5 
 
 8i56 
 
 3oo6 
 
 7562 
 
 1824 
 
 5790 
 
 9458 
 
 2828J38 
 
 23 
 
 i960 
 
 7676 
 
 3io3 
 
 8239 
 
 3o84 
 
 7636 
 
 1893 
 
 5853 
 
 9517 
 
 2882:37 
 
 24 
 
 2057 
 
 7768 
 
 3191 
 
 8323 
 
 3x63 
 
 7709 
 
 1961 
 
 5917 
 
 9575 
 
 2935136 
 
 25 
 
 2i55 
 
 7861 
 
 3279 
 
 84o6 
 
 324l 
 
 7782 
 
 2029 
 
 5980 
 
 9634 
 
 2989' 35 
 
 26 
 
 2252 
 
 7954 
 
 3366 
 
 8489 
 
 3319 
 
 7856 
 
 2098 
 
 6044 
 
 9692 
 
 3o42 34 
 
 27 
 
 235o 
 
 8o46 
 
 3454 
 
 8572 
 
 3397 
 
 7929 
 
 2166 
 
 6107 
 
 9750 
 
 3096 33 
 
 28 
 
 2447 
 
 8139 
 
 3542 
 
 8654 
 
 3475 
 
 8002 
 
 2234 
 
 6170 
 
 9809 
 
 3i49 32 
 
 29 
 
 2544 
 
 823i 
 
 3629 
 
 8737 
 
 3553 
 
 8075 
 
 2302 
 
 6233 
 
 9867 
 
 3202 3l 
 
 3o 
 
 942641 
 
 948324 
 
 953717 
 
 958820 
 
 96363o 
 
 968148 
 
 972370 
 
 976296 
 
 979925 
 
 983255 
 
 3o 
 
 3i 
 
 2739 
 
 84i6 
 
 38o4 
 
 8902 
 
 3708 
 
 8220 
 
 2438 
 
 6359 
 
 9983 
 
 33o8 
 
 29 
 
 32 
 
 2836 
 
 85o8 
 
 3892 
 
 8985 
 
 3786 
 
 8293 
 
 25o6 
 
 6422 
 
 980041 
 
 336i 
 
 28 
 
 33 
 
 2932 
 
 8600 
 
 3979 
 
 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 
 
 85ii 
 
 2708 
 
 6610 
 
 02l4 
 
 3519 
 
 25 
 
 36 
 
 3223 
 
 8876 
 
 4240 
 
 93i4 
 
 4095 
 
 8583 
 
 2776 
 
 6672 
 
 0271 
 
 3571 
 
 24 
 
 37 
 
 3319 
 
 8968 
 
 4327 
 
 9396 
 
 4173 
 
 8656 
 
 2843 
 
 6735 
 
 0329 
 
 3624 
 
 23 
 
 38 
 
 3416 
 
 9059 
 
 44i4 
 
 9478 
 
 425o 
 
 8728 
 
 291 1 
 
 6797 
 
 o386 
 
 3676 
 
 22 
 
 39 
 
 35i2 
 
 9i5i 
 
 45oi 
 
 9560 
 
 4327 
 
 8800 
 
 2978 
 
 6859 
 
 0443 
 
 3729 
 
 21 
 
 4o 
 
 943609 
 
 949243 
 
 954588 
 
 959642 
 
 964404 
 
 968872 
 
 973045 
 
 976921 
 
 980500 
 
 983781J20 
 
 4i 
 
 3705 
 
 9334 
 
 4674 
 
 9724 
 
 448 1 
 
 8944 
 
 3ll2 
 
 6984 
 
 o558 
 
 3833 19 
 
 42 
 
 • 38oi 
 
 9425 
 
 4761 
 
 9805 
 
 4557 
 
 9016 
 
 3179 
 
 7046 
 
 o6i5 
 
 3885 18 
 
 43 
 
 3897 
 
 9517 
 
 4847 
 
 9887 
 
 4634 
 
 9088 
 
 3246 
 
 7108 
 
 0672 
 
 3937 .7 
 
 .44 
 
 3993 
 
 9608 
 
 4934 
 
 9968 
 
 4711 
 
 9159 
 
 33i3 
 
 7169 
 
 0728 
 
 3989J16 
 
 45 
 
 4089 
 
 9699! 
 
 5020 
 
 960050 
 
 4787 
 
 9231 
 
 3379 
 
 7231 
 
 0785 
 
 4o4ii i5 
 
 46 
 
 4 1 85 
 
 9790 
 
 5 1 06 
 
 oi3i 
 
 4864 
 
 9302 
 
 3446 
 
 7293 
 
 0842 
 
 4092 
 
 i4 
 
 47 
 
 4281 
 
 9881 
 
 5192 
 
 0212 
 
 4940 
 
 9374 
 
 35i2 
 
 7354 
 
 0899 
 
 4i44 
 
 i3 
 
 48 
 
 • 4376 
 
 9972 
 
 5278 
 
 0294 
 
 5oi6 
 
 9445 
 
 3579 
 
 7416 
 
 0955 
 
 4196 
 
 12 
 
 49 
 
 4472 
 
 95oo63 
 
 5364 
 
 0375 
 
 5093 
 
 9517 
 
 3645 
 
 7477 
 
 1012 
 
 4247 
 
 1 1 
 
 5o 
 
 944568 
 
 95oi54 
 
 955450 
 
 960456 
 
 965169 
 
 969588 
 
 973712 
 
 977539 
 
 981068 
 
 984298 
 
 10 
 
 5i 
 
 • 4663 
 
 0244 
 
 5536 
 
 0537 
 
 5245 
 
 9659 
 
 3778 
 
 7600 
 
 1124 
 
 435o 
 
 9 
 
 52 
 
 4758 
 
 o335 
 
 5622 
 
 0618 
 
 5321 
 
 9730 
 
 3844 
 
 7661 
 
 1181 
 
 44oi 
 
 8 
 
 53 
 
 4854 
 
 0425 
 
 5707 
 
 0698 
 
 5397 
 
 9801 
 
 3910 
 
 7722 
 
 1237 
 
 4452 
 
 7 
 
 54 
 
 4949 
 
 o5i6 
 
 5793 
 
 0779 
 
 5473 
 
 9872 
 
 3976 
 
 7783 
 
 1293 
 
 45o3 
 
 6 
 
 55 
 
 5o44 
 
 0606 
 
 5879 
 
 0860 
 
 5548 
 
 9943 
 
 4o42 
 
 7844 
 
 1349 
 
 4554 
 
 5 
 
 56 
 
 5 1 39 
 
 0696 
 
 5964 
 
 0940 
 
 5624 
 
 970014 
 
 4io8 
 
 7905 
 
 i4o5 
 
 46o5 
 
 4 
 
 57 
 
 5234 
 
 0786 
 
 6049 
 
 1021 
 
 5700 
 
 0084 
 
 4173 
 
 7966 
 
 i46o 
 
 4656 
 
 3 
 
 58 
 
 5329 
 
 0877 
 
 6i34 
 
 IIOI 
 
 5775 
 
 oi55 
 
 4239 
 
 8026 
 
 i5i6 
 
 4707 
 
 2 
 
 59 
 
 5424 
 
 0967 
 
 6220 
 
 1181 
 
 585o 
 
 0225 
 
 43o5 
 
 8087 
 
 1572 
 
 4757 
 
 1 
 
 19° 
 
 18° 
 
 17° 
 
 16° 15° 
 
 14° 
 
 13° 
 
 12° 
 
 I 
 
 11° 
 
 10° 
 
 ii 
 
 
 Natural Co-sines 
 
 1. 
 
 
 
 P.P 
 tol 
 
 •, 1 . 62 
 
 1.54 
 
 1.46 
 
 1.38 
 
 1 .3o 
 
 1 .21 
 
 I . i3 
 
 i.o5 
 
 0.97 
 
 0.88 
 
 1 
 

 
 
 
 Natural 
 
 Tangents. 
 
 
 
 131 
 
 
 70° 
 
 71° 
 
 72° 
 
 73° 
 
 74° 
 
 75° 
 
 76° 
 
 77° 
 
 78° 
 
 79° 
 
 
 
 
 2.74748 
 
 2.90421 
 
 3.07768 
 
 3.27085 3.4t<74i 
 
 3.73205 
 
 4.01078 
 
 4.33i48 
 
 4.70453 
 
 5.14455 60 
 
 I 
 
 4997 
 
 0696 
 
 8073 
 
 7426 
 
 9125 
 
 364o 
 
 1576 
 
 3723 
 
 1137 
 
 5256 59 
 
 2 
 
 5246 
 
 0971 
 
 8379 
 
 7767 
 
 9509 
 
 4075 
 
 2074 
 
 43oo 
 
 i8i3 
 
 6o58 58 
 
 3 
 
 5496 
 
 1246 
 
 8685 
 
 8109 
 
 9894 
 
 45i2 
 
 2574 
 
 4879 
 
 2490 
 
 6863 
 
 57 
 
 4 
 
 5746 
 
 i523 
 
 8991 
 
 8452 
 
 3.50279 
 
 4950 
 
 3076 
 
 5459 
 
 3170 
 
 7671 56 
 
 5 
 
 5996 
 
 1799 
 
 9298 
 
 8795 
 
 0666 
 
 5388 
 
 3578 
 
 6o4o 
 
 385i 
 
 848o55 
 
 6 
 
 6247 
 
 2076 
 
 9606 
 
 9139 
 
 io53 
 
 5828 
 
 4o8i 
 
 6623 
 
 4534 
 
 9293 54 
 
 7 
 
 6498 
 
 2354 
 
 9914 
 
 9483 
 
 i44i 
 
 6268 
 
 4586 
 
 7207 
 
 5219 
 
 5.20107 
 
 53 
 
 8 
 
 6750 
 
 2632 
 
 3.I0223 
 
 9829 
 
 1829 
 
 6709 
 
 5092 
 
 7793 
 
 5906 
 
 0925 52 1 
 
 9 
 
 7002 
 
 2910 
 
 o532 3.30174 
 
 2219 
 
 7 1 52 
 
 5599 
 
 838i 
 
 6595 
 
 1744 
 
 5i 
 
 10 
 
 3.77254 
 
 2.93189 
 
 3.10842 3.3o52i 
 
 3.52609 
 
 3.77595 
 
 4.06107 
 
 4.38969 
 
 4.77286 
 
 5.22566 
 
 50 
 
 II 
 
 7507 
 
 3468 
 
 ii53 
 
 0868 
 
 3ooi 
 
 8o4o 
 
 6616 
 
 9560 
 
 7978 
 
 3391 
 
 49 
 
 12 
 
 7761 
 
 3748 
 
 i464 
 
 1216 
 
 3393 
 
 8485 
 
 7127 
 
 4.4oi52 
 
 8673 
 
 4218 
 
 48 
 
 i3 
 
 8oi4 
 
 4028 
 
 1775 
 
 i565 
 
 3785 
 
 8931 
 
 7639 
 
 0745 
 
 9370 
 
 5o48 
 
 47 
 
 i4 
 
 8269 
 
 4309 
 
 2087 
 
 1914 
 
 4179 
 
 9378 
 
 8i52 
 
 i34o 
 
 4.80068 
 
 588o 
 
 46 
 
 i5 
 
 8523 
 
 4591 
 
 2400 
 
 2264 
 
 4573 
 
 9827 
 
 8666 
 
 1936 
 
 0769 
 
 6715 
 
 45 
 
 i6 
 
 8778 
 
 4872 
 
 2713 
 
 2614 
 
 4968 
 
 3.80276 
 
 9182 
 
 2534 
 
 1471 
 
 7553 
 
 44 
 
 17 
 
 9033 
 
 5i55 
 
 3027 
 
 2965 
 
 5364 
 
 0726 
 
 9699 
 
 3i34 
 
 2175 
 
 8393 
 
 43 
 
 i8 
 
 9289 
 
 5437 
 
 334i 
 
 33i7 
 
 5761 
 
 1177 
 
 4.10216 
 
 3735 
 
 2882 
 
 9235 
 
 42 
 
 19 
 
 9545 
 
 5721 
 
 3656 
 
 3670 
 
 6159 
 
 i63o 
 
 0736 
 
 4338 
 
 3590 
 
 5.3oo8o 
 
 41 
 
 20 
 
 2.79802 
 
 2.96004 
 
 3.13972 
 
 3.34023 
 
 3.56557 
 
 3.82083 
 
 4.1 1256 
 
 4.44942 
 
 4.84300 
 
 5.30928 
 
 40 
 
 21 
 
 2.80059 
 
 6288 
 
 4288 
 
 4377 
 
 6957 
 
 2537 
 
 1778 
 
 5548 
 
 5oi3 
 
 1778 
 
 39 
 
 22 
 
 o3i6 
 
 6573 
 
 46o5 
 
 4732 
 
 7357 
 
 2992 
 
 23oi 
 
 6i55 
 
 5727 
 
 263i 
 
 38 
 
 23 
 
 0574 
 
 6858 
 
 4922 
 
 5087 
 
 7758 
 
 3449 
 
 2825 
 
 6764 
 
 6444 
 
 3487 
 
 37 
 
 24 
 
 o833 
 
 7144 
 
 5240 
 
 5443 
 
 8160 
 
 3906 
 
 335o 
 
 7374 
 
 7162 
 
 4345 
 
 36 
 
 25 
 
 1091 
 
 7430 
 
 5558 
 
 58oo 
 
 8562 
 
 4364 
 
 3877 
 
 7986 
 
 7882 
 
 5206 
 
 35 
 
 26 
 
 i35o 
 
 7717 
 
 5877 
 
 6i58 
 
 8966 
 
 4824 
 
 44o5 
 
 8600 
 
 86o5 
 
 6070 
 
 34 
 
 27 
 
 1610 
 
 8oo4 
 
 6197 
 
 65i6 
 
 9370 
 
 5284 
 
 4934 
 
 9215 
 
 9330 
 
 6936 
 
 33 
 
 28 
 
 1870 
 
 8292 
 
 65i7 
 
 6875 
 
 9775 
 
 5745 
 
 5465 
 
 9832 
 
 4.90056 
 
 7805 
 
 32 
 
 29 
 
 2i3o 
 
 858o 
 
 6838 
 
 7234 
 
 3.60181 
 
 6208 
 
 5997 
 
 4.5o45i 
 
 0785 
 
 8677 
 
 31 
 
 3o 
 
 2.82391 
 
 2.98868 
 
 3.17159 
 
 3.37594 
 
 3.6o588 
 
 3.86671 
 
 4.i653o 
 
 4.51071 
 
 4.91516 
 
 5.39552 
 
 30 
 
 3i 
 
 2653 
 
 9i58 
 
 7481 
 
 7955 
 
 0996 
 
 7i36 
 
 7064 
 
 1693 
 
 2249 
 
 5.40429 
 
 29 
 
 32 
 
 2914 
 
 9447 
 
 7804 
 
 83i7 
 
 i4o5 
 
 7601 
 
 7600 
 
 23i6 
 
 2984 
 
 1 309 
 
 28 
 
 33 
 
 3176 
 
 9738 
 
 8127 
 
 8679 
 
 i8i4 
 
 8068 
 
 8137 
 
 2941 
 
 3721 
 
 2192 
 
 27 
 
 34 
 
 3439 
 
 3.00028 
 
 845i 
 
 9042 
 
 2224 
 
 8536 
 
 8675 
 
 3568 
 
 4460 
 
 3077 
 
 26 
 
 35 
 
 3702 
 
 o3i9 
 
 8775 
 
 9406 
 
 2636 
 
 9004 
 
 92i5 
 
 4196 
 
 5201 
 
 3966 
 
 25 
 
 36 
 
 3965 
 
 061 1 
 
 9100 
 
 9771 
 
 3o48 
 
 9474 
 
 9756 
 
 4826 
 
 5945 
 
 4857 
 
 24 
 
 37 
 
 4229 
 
 0903 
 
 9426 
 
 3.4oi36 
 
 346i 
 
 9945 
 
 4.20298 
 
 5458 
 
 6690 
 
 5751 
 
 23 
 
 38 
 
 4494 
 
 1196 
 
 9752 
 
 o5o2 
 
 3874 
 
 3.90417 
 
 0842 
 
 6091 
 
 7438 
 
 6648 
 
 22 
 
 39 
 
 4758 
 
 1489 
 
 3.20079 
 
 0869 
 
 4289 
 
 0890 
 
 1387 
 
 6726 
 
 8188 
 
 7548 
 
 21 
 
 40 
 
 2.85023 
 
 3.01783 
 
 3.2o4o6 
 
 3.41236 
 
 3.64705 
 
 3.91364 
 
 4.21933 
 
 4.57363 
 
 4.98940 
 
 5.48451 
 
 20 
 
 41 
 
 5289 
 
 2077 
 
 0734 
 
 i6o4 
 
 5l2I 
 
 1839 
 
 2481 
 
 8001 
 
 9695 
 
 9356 
 
 19 
 
 42 
 
 5555 
 
 2372 
 
 io63 
 
 1973 
 
 5538 
 
 23i6 
 
 3o3o 
 
 864i 
 
 5.oo45i 
 
 5.5o264 
 
 18 
 
 43 
 
 5822 
 
 2667 
 
 1392 
 
 2343 
 
 5957 
 
 2793 
 
 358o 
 
 9283 
 
 1210 
 
 1176 
 
 17 
 
 44 
 
 6089 
 
 2963 
 
 1722 
 
 2713 
 
 6376 
 
 3271 
 
 4i32 
 
 9927 
 
 1971 
 
 2090 
 
 16 
 
 45 
 
 6356 
 
 3260 
 
 2o53 
 
 3o84 
 
 6796 
 
 3751 
 
 4685 
 
 4.60572 
 
 2734 
 
 3007 
 
 i5 
 
 46 
 
 6624 
 
 3556 
 
 2384 
 
 3456 
 
 7217 
 
 4232 
 
 5239 
 
 1219 
 
 3499 
 
 3927 
 
 l4 
 
 47 
 
 6892 
 
 3854 
 
 2715 
 
 3829 
 
 7638 
 
 47i3 
 
 5795 
 
 1868 
 
 4267 
 
 485i 
 
 l3 
 
 48 
 
 7161 
 
 4i52 
 
 3o48 
 
 4202 
 
 8061 
 
 5196 
 
 6352 
 
 25i8 
 
 5o37 
 
 5777 
 
 12 
 
 49 
 
 743o 
 
 445o 
 
 338i 
 
 4576 
 
 8485 
 
 568o 
 
 6911 
 
 3171 
 
 5809 
 
 6706 
 
 U 
 
 5o 
 
 2.87700 
 
 3.04749 
 
 3.23714 
 
 3.44951 
 
 3.68909 
 
 3.96165 
 
 4.27471 
 
 4.63825 5.06584 
 
 5.57638 
 
 10 
 
 5i 
 
 7970 
 
 5o49 
 
 4o49 
 
 5327 
 
 9335 
 
 665i 
 
 8o32 
 
 4480 
 
 7360 
 
 8573 
 
 9 
 
 52 
 
 8240 
 
 5349 
 
 4383 
 
 5703 
 
 9761 
 
 7139 
 
 8595 
 
 5i38 
 
 8139 
 
 gSl I 
 
 8 
 
 53 
 
 85ii 
 
 5649 
 
 4719 
 
 6080 
 
 3.70188 
 
 7627 
 
 9159 
 
 5797 
 
 8921 
 
 5.60452 
 
 7 
 
 54 
 
 8783 
 
 5950 
 
 5o55 
 
 6458 
 
 0616 
 
 8117 
 
 9724 
 
 6458 
 
 9704 
 
 1397 
 
 6 
 
 r 
 
 55 
 
 9055 
 
 6252 
 
 5392 
 
 6837 
 
 io46 
 
 8607 
 
 4.30291 
 
 7121 
 
 5.10490 
 
 2344 
 
 5 
 
 56 
 
 9327 
 
 6554 
 
 5729 
 
 7216 
 
 1476 
 
 9099 
 
 0860 
 
 7786 
 
 1279 
 
 3295 
 
 4 
 
 
 
 57 
 
 9600 
 
 6857 
 
 6067 
 
 7596 
 
 1907 
 
 9592 
 
 i43o 
 
 8452 
 
 2069 
 
 4248 
 
 r c 
 
 3 
 
 58 
 
 9873 
 
 7160 
 
 64o6 
 
 7977 
 
 2338 
 
 4.00086 
 
 2001 
 
 9121 
 
 2862 
 
 52o5 
 
 2 
 
 59 
 
 2.90147 
 
 7464 
 
 6745 
 
 8359 
 
 2771 
 
 o582 
 
 2573 
 
 9791 
 
 3658 
 
 6i65 
 
 I 
 
 
 19° 
 
 18° 
 
 17° 
 
 16° 
 
 15° 
 
 14° 
 
 13° 12° 
 
 11° 
 
 10° 
 
 i 
 
 
 
 Natural Co-tangents, 
 
 P. 
 
 to 
 
 [:m.35 
 
 4.82 
 
 5.36 
 
 6.01 
 
 6.79 
 
 7.73 
 
 8.90 
 
 10.35 12.20 
 
 i4.6o 
 
 
132 
 
 
 
 
 Natural Sines. 
 
 — T" 
 
 
 
 1 
 
 1 
 
 80° 
 
 81° 
 
 82° 
 
 83° 
 
 84° 
 
 85° 
 
 86° 
 
 87° 
 
 88° 
 
 89° 
 
 o 
 I 
 
 2 
 
 3 
 
 4 
 5 
 
 984808 
 4858 
 4909 
 4959 
 5009 
 5o59 
 5 1 09 
 5i59 
 5209 
 6259 
 
 985309 
 5358 
 
 987688' 
 7734 
 
 7779 
 
 78241 
 7S70J 
 79.5 
 7960 
 8oo5 
 
 990268 
 o3o9 
 
 0349, 
 0389; 
 0429 
 
 992546 
 
 2582 
 
 2617 
 
 2652 
 
 2687 
 
 994522 
 4552 
 4583 
 46i3 
 
 4643 
 
 996195 
 6220 
 6245 
 6270 
 6295 
 
 997564 
 7584 
 7604 
 7625 
 7645 
 
 998630 
 8645 
 8660 
 8675 
 8690 
 
 999391 
 9401 
 9411 
 9421 
 9431 
 
 999848^ 60 
 9853^59 
 9858' 58 
 9863 57 
 9867 56 
 
 0469 
 
 2722 
 
 4673 
 
 6320 
 
 7664 
 
 8705 
 
 9441 
 
 9872 55 
 
 6 
 
 17 
 
 o5o9 
 o549 
 
 2757 
 2792 
 
 4703 
 
 4733 
 
 6345 
 6370 
 
 7684 
 7704 
 
 8719 
 8734 
 
 9450 
 9460 
 
 9877 54 
 9881 53 
 
 7 
 
 8 
 
 8o5o 
 
 0589 
 
 2827 
 
 4762 
 
 6395 
 
 7724 
 
 8749 
 
 9469 
 
 9886 52 
 
 
 8094 
 988139 
 
 0629 
 
 2862 
 
 4792 
 
 6419 
 
 7743 
 
 8763 
 
 9479 
 
 98901 5i 
 
 9 
 
 I 
 
 990669 
 
 992896 
 
 994822 
 
 996444 
 
 997763 
 
 998778 
 
 99948,8 
 
 999894:50 
 
 1 1 
 
 8i84 
 
 0708 
 
 2931 
 
 485i 
 
 6468 
 
 7782 
 
 8792 
 
 9497 
 
 9898 
 
 49 
 
 12 
 
 5408 
 
 8228 
 
 0748 
 
 2966 
 
 4881 
 
 6493 
 
 7801 
 
 8806 
 
 9507 
 
 9903 
 
 48 
 
 i3 
 
 5457 
 
 8273 
 
 0787 
 
 3ooo 
 
 4910 
 
 65i7 
 
 7821 
 
 8820 
 
 95i6 
 
 9907 
 
 47 
 
 i4 
 
 55o7 
 
 83i7 
 
 0827 
 
 3o34 
 
 4939 
 
 654i 
 
 7840 
 
 8834 
 
 9525 
 
 9910 
 
 46 
 
 i5 
 
 5556 
 
 8362 
 
 0866 
 
 3o68 
 
 4969 
 
 6566 
 
 7859 
 
 8848 
 
 9534 
 
 9914 
 
 45 
 
 i6 
 
 56o5 
 
 84o6 
 
 0905 
 
 3io3 
 
 4998 
 
 6590 
 
 7878 
 
 8862 
 
 9542 
 
 9918 
 
 44 
 
 I? 
 
 i8 
 
 5654 
 
 845o 
 
 0944 
 
 3i37 
 
 5027 
 
 66i4 
 
 7897 
 
 8876 
 
 9551 
 
 9922 
 
 43 
 
 5703 
 
 8494 
 
 0983 
 
 3171 
 
 5o56 
 
 6637 
 
 7916 
 
 8890 
 
 9560 
 
 9925 42 
 
 •9 
 
 20 
 
 5752 
 
 8538 
 
 1022 
 
 32o5 
 
 5o84 
 
 6661 
 
 7934 
 
 8904 
 
 9568 
 
 9929 4i 
 
 985801 
 
 988582 
 
 991061 
 
 993238 
 
 995ii3 
 
 996685 
 
 997953 
 
 998917 
 
 999577 
 
 999932 4o 
 
 21 
 
 585o 
 
 8626 
 
 1 100 
 
 3272 
 
 5i42 
 
 6709 
 
 7972 
 
 8931 
 
 9585 
 
 9936 39 
 
 23 
 
 5899 
 
 8669 
 
 ii38 
 
 33o6 
 
 5170 
 
 6732 
 
 7990 
 
 8944 
 
 9594 
 
 9939 
 
 38 
 
 23 
 
 7 7 
 
 5g47 
 
 8713 
 
 1177 
 
 3339 
 
 5199 
 
 6756 
 
 8008 
 
 8957 
 
 9602 
 
 9942 
 
 37 
 
 24 
 
 7^ ' 
 5996 
 
 8756 
 
 1216 
 
 3373 
 
 5227 
 
 6779 
 
 8027 
 
 8971 
 
 9610 
 
 9945 
 
 36 
 
 25 
 
 6045 
 
 8800 
 
 1254 
 
 3406 
 
 5256 
 
 6802 
 
 8045 
 
 8984 
 
 9618 
 
 9948 
 
 35 
 
 26 
 
 6093 
 
 8843 
 
 1292 
 
 3439 
 
 5284 
 
 6825 
 
 8o63 
 
 8997 
 
 9626 
 
 9951 
 
 34 
 
 27 
 
 6i4i 
 
 8886 
 
 i33i 
 
 3473 
 
 53i2 
 
 6848 
 
 , 8081 
 
 9010 
 
 9634 
 
 9954 
 
 33 
 
 28 
 
 6189 
 
 8930 
 
 1369 
 
 35o6 
 
 5340 
 
 6872 
 
 8099 
 
 9023 
 
 9642 
 
 9957 
 
 32 
 
 29 
 
 3o 
 
 6238 
 
 8973 
 
 1407 
 
 3539 
 
 5368 
 
 6894 
 
 8117 
 
 9035 
 
 9650 
 
 9959 
 
 3i 
 
 986286 
 
 989016 
 
 991445 
 
 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 
 
 6963 
 
 8170 
 
 9073 
 
 9672 
 
 9967 
 
 28 
 
 33 
 
 6429 
 
 9145 
 
 i558 
 
 3670 
 
 5479 
 
 6985 
 
 8188 
 
 9086 
 
 9680 
 
 9969 
 
 27 
 
 34 
 
 6477 
 
 9187 
 
 1596 
 
 3703 
 
 5507 
 
 7008 
 
 8205 
 
 9098 
 
 9687 
 
 9971 
 
 26 
 
 35 
 
 6525 
 
 9230 
 
 i634 
 
 3735 
 
 5535 
 
 7o3o 
 
 8223 
 
 91 1 1 
 
 9694 
 
 9974 
 
 25 
 
 36 
 
 6572 
 
 9272 
 
 1671 
 
 3768 
 
 5562 
 
 7053 
 
 8240 
 
 9123 
 
 9701 
 
 9976 
 
 24 
 
 37 
 
 6620 
 
 93i5 
 
 1709 
 
 38oo 
 
 5589 
 
 7075 
 
 8257 
 
 9135 
 
 9709 
 
 9978 
 
 23 
 
 38 
 
 6667 
 
 9357 
 
 1746 
 
 3833 
 
 56i7 
 
 7097 
 
 8274 
 
 9147 
 
 9716 
 
 9980 
 
 22 
 
 39 
 
 6714 
 
 9399 
 
 1783 
 
 3865 
 
 5644 
 
 7119 
 
 8291 
 
 9159 
 
 9722 
 
 9981 
 
 21 
 
 4o 
 
 986762 
 
 989442 
 
 991820 
 
 993897 
 
 995671 
 
 997141 
 
 998308 
 
 999171 
 
 999729 
 
 999983 
 
 20 
 
 4i 
 
 6809 
 
 9484 
 
 1857 
 
 3929 
 
 5698 
 
 7163 
 
 8325 
 
 9183 
 
 9736 
 
 9985 
 
 19 
 
 42 
 
 6856 
 
 9526 
 
 1894 
 
 3961 
 
 5725 
 
 7i85 
 
 8342 
 
 9194 
 
 9743 
 
 9986 
 
 18 
 
 43 
 
 6903 
 
 9568 
 
 1931 
 
 3993 
 
 5752 
 
 7207 
 
 8359 
 
 9206 
 
 9749 
 
 9988 
 
 17 
 
 44 
 
 6950 
 
 g6io 
 
 1968 
 
 4025 
 
 5778 
 
 7229 
 
 8375 
 
 9218 
 
 9756 
 
 9989 
 
 16 
 
 45 
 
 6996 
 
 9651 
 
 2005 
 
 4o56 
 
 58o5 
 
 725o 
 
 8392 
 
 9229 
 
 9762 
 
 9990 
 
 i5 
 
 46 
 
 7043 
 
 9693 
 
 2042 
 
 4088 
 
 5832 
 
 7272 
 
 84o8 
 
 9240 
 
 9768 
 
 9992 
 
 i4 
 
 47 
 
 7090 
 
 9735 
 
 2078 
 
 4l20 
 
 5858 
 
 7293 
 
 8425 
 
 9252 
 
 9775 
 
 9993 
 
 i3 
 
 48 
 
 7 1 36 
 
 9776 
 
 21 l5 
 
 4i5i 
 
 5884 
 
 73i4 
 
 844i 
 
 9263 
 
 9781 
 
 9994 
 
 12 
 
 49 
 
 7183 
 
 9818 
 
 2l5l 
 
 4182 
 
 591 1 
 
 7336 
 
 8457 
 
 9274 
 
 9787 
 
 9995 
 
 1 1 
 
 5o 
 
 987239 
 
 989859 
 
 992187 
 
 994214 
 
 995937 
 
 997357 
 
 998473 
 
 999285 
 
 999793 
 
 999996 
 
 10 
 
 5i 
 
 7275 
 
 9900 
 
 2224 
 
 4245 
 
 5963 
 
 7378 
 
 8489 
 
 9296 
 
 9799 
 
 9997 
 
 9 
 
 52 
 
 7322 
 
 9942 
 
 2260 
 
 4276 
 
 5989 
 
 7399 
 
 85o5 
 
 9307 
 
 9804 
 
 9997 
 
 8 
 
 53 
 
 7368 
 
 9983 
 
 2296 
 
 4307 
 
 6oi5 
 
 7420 
 
 8521 
 
 9318 
 
 9810 
 
 9998 
 
 7 
 
 54 
 
 74i4 
 
 99002Z 
 
 2332 
 
 4338 
 
 6o4i 
 
 744i 
 
 8537 
 
 9328 
 
 9816 
 
 9998 
 
 6 
 
 55 
 
 7460 
 
 oo65 
 
 2368 
 
 4369 
 
 6067 
 
 7462 
 
 8552 
 
 9339 
 
 9821 
 
 9999 
 
 5 
 
 56 
 
 7506 
 
 oio5 
 
 240/ 
 
 44oo 
 
 6093 
 
 7482 
 
 8568 
 
 9350 
 
 9827 
 
 9999 
 
 4 
 
 57 
 
 7551 
 
 oi46 
 
 2439 
 
 443c 
 
 6118 
 
 75o3 
 
 8583 
 
 9360 
 
 9832 
 
 1. 00000 
 
 3 
 
 58 
 
 7597 
 
 0187 
 
 2475 
 
 4461 
 
 6i44 
 
 7523 
 
 8599 
 
 937c 
 
 9837 
 
 0000 
 
 2 
 
 59 
 
 7643 
 
 022S 
 
 25ll 
 
 4491 
 
 6i6g 
 
 7544 
 
 86i4 
 
 9381 
 
 9843 0000 
 
 I 
 
 
 9° 
 
 8° 
 
 7° 
 
 6° 
 
 5° 
 
 4° 
 
 3° 
 
 2° 
 
 1° 0° 
 
 d 
 
 ii 
 
 Natural Co-sines. 
 
 ro?\-«° 
 
 0.72 
 
 0.63 
 
 0.55 
 
 0.46 
 
 0.38 
 
 o.3o 
 
 0.21 
 
 o.i3 
 
 o.o4 
 
 1 
 
 

 
 
 
 Natural 
 
 Tangents. 
 
 
 
 133 
 
 a 
 ?5 
 
 80° 
 
 81° 
 
 82° 
 
 83° 
 
 84° 
 
 85° 
 
 86° 
 
 87° 
 
 88° 
 
 89° 
 
 
 O 
 
 5.67128 
 
 6.31375 
 
 7. 1x537 
 
 8.14435 
 
 9.5x436 
 
 IX.430X 
 
 14.3007 
 
 19.081 1 
 
 28.6363 
 
 57.2900 
 
 60 
 
 I 
 
 8094 
 
 2566 
 
 3o42 
 
 6398 
 
 4 1 06 
 
 4685 
 
 3607 
 
 1879 
 
 877X 
 
 58.26x2 
 
 59 
 
 5b 
 
 2 
 
 9064 
 
 3761 
 
 4553 
 
 8370 
 
 6791 
 
 5072 
 
 4212 
 
 2959 
 
 29.X220 
 
 59.2659 
 
 3 
 
 5.70037 
 
 4961 
 
 6071 
 
 8.20352 
 
 9490 
 
 546x 
 
 482 3 
 
 4o5i 
 
 371X 
 
 6o.3o58 
 
 57 
 
 4 
 
 ioi3 
 
 6i65 
 
 7594 
 
 2344 
 
 9.62205 
 
 5853 
 
 5438 
 
 5x56 
 
 6245 
 
 6X.3829 
 
 56 
 
 5 
 
 1992 
 
 7374 
 
 9125 
 
 4345 
 
 4935 
 
 6248 
 
 6059 
 
 6273 
 
 8823 
 
 62.4992 
 
 55 
 
 6 
 
 2974 
 
 8587 
 
 7.20661 
 
 6355 
 
 7680 
 
 6645 
 
 6685 
 
 74o3 
 
 3o.i446 
 
 63.6567 
 
 54 
 
 7 
 
 3960 
 
 9804 
 
 22o4 
 
 8376 
 
 9.70441 
 
 7045 
 
 7317 
 
 8546 
 
 4xx6 
 
 64.8580 
 
 53 
 
 8 
 
 4949 
 
 6.41026 
 
 3754 
 
 8.3o4o6 
 
 3217 
 
 7448 
 
 7954 
 
 9702 
 
 6833 
 
 66.1055 
 
 52 
 
 9 
 
 5941 
 
 2253 
 
 53io 
 
 2446 
 
 6009 
 
 7853 
 
 8596 
 
 20.0872 
 
 9599 
 
 67.4019 
 
 5i 
 
 10 
 
 5.76937 
 
 6.43484 
 
 7.26873 
 
 8.34496 
 
 9.78817 
 
 I X.8262 
 
 14.9244 
 
 20.2o56 
 
 3i.24i6 
 
 68.7501 
 
 5o 
 
 1 1 
 
 7936 
 
 4720 
 
 8442 
 
 6555 
 
 9.81641 
 
 8673 
 
 9898 
 
 3253 
 
 5284 
 
 70.1533 
 
 49 
 
 12 
 
 8938 
 
 5961 
 
 7.30018 
 
 8625 
 
 4482 
 
 9087 
 
 i5.o557 
 
 4465 
 
 82o5 
 
 71.61 5 X 
 
 48 
 
 i3 
 
 9944 
 
 7206 
 
 1600 
 
 8.40705 
 
 7338 
 
 95o4 
 
 1222 
 
 5691 
 
 32.xi8x 
 
 73.1390 
 
 47 
 
 i4 
 
 5.80953 
 
 8456 
 
 3190 
 
 2795 
 
 9.9021 1 
 
 9923 
 
 1893 
 
 6932 
 
 42i3 
 
 74.7292 
 
 46 
 
 i5 
 
 1966 
 
 9710 
 
 4786 
 
 4896 
 
 3iai 
 
 12.0346 
 
 2571 
 
 8188 
 
 73o3 
 
 76.3900 
 
 45 
 
 i6 
 
 2982 
 
 6.50970 
 
 6389 
 
 7007 
 
 6007 
 
 0772 
 
 3254 
 
 9460 
 
 33.0452 
 
 78.1263 
 
 44 
 
 17 
 
 4ooi 
 
 2234 
 
 7999 
 
 9128 
 
 8931 
 
 1201 
 
 3943 
 
 21.0747 
 
 3662 
 
 79-9434 
 
 43 
 
 18 
 
 5o24 
 
 35o3 
 
 9616 
 
 8.5x259 
 
 X0.0187 
 
 i632 
 
 4638 
 
 2049 
 
 6935 
 
 8X.8470 
 
 42 
 
 19 
 
 6o5i 
 
 4777 
 
 7.41240 
 
 3402 
 
 o483 
 
 2067 
 
 5340 
 
 3369 
 
 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 
 
 8ii4 
 
 7339 
 
 4509 
 
 77x8 
 
 1080 
 
 2946 
 
 6762 
 
 6o56 
 
 7x5i 
 
 88.X436 
 
 39 
 
 22 
 
 9i5i 
 
 8627 
 
 6i54 
 
 9893 
 
 i38i 
 
 3390 
 
 7483 
 
 7426 
 
 35.0695 
 
 90.4633 
 
 38 
 
 23 
 
 5.90191 
 
 9921 
 
 7806 
 
 8.62078 
 
 i683 
 
 3838 
 
 8211 
 
 88x3 
 
 43x3 
 
 92.9085 
 
 37 
 
 24 
 
 1236 
 
 6.61219 
 
 9465 
 
 4275 
 
 1988 
 
 4288 
 
 8945 
 
 22.02x7 
 
 8006 
 
 95.4895 
 
 36 
 
 25 
 
 2283 
 
 2523 
 
 7.5x i32 
 
 6482 
 
 2294 
 
 4742 
 
 9687 
 
 x64o 
 
 36.1776 
 
 98.2179 
 
 35 
 
 26 
 
 3335 
 
 383i 
 
 2806 
 
 8701 
 
 2602 
 
 5x99 
 
 16.0435 
 
 3o8i 
 
 5627 
 
 101.107 
 
 34 
 
 27 
 
 4390 
 
 5i44 
 
 4487 
 
 8.70931 
 
 2913 
 
 566o 
 
 1x90 
 
 4541 
 
 9560 
 
 104.171 
 
 33 
 
 28 
 
 5448 
 
 6463 
 
 6176 
 
 3172 
 
 3224 
 
 6124 
 
 1952 
 
 6020 
 
 37.3579 
 
 107.426 
 
 32 
 
 29 
 
 65io 
 
 7787 
 
 7872 
 
 5425 
 
 3538 
 
 659X 
 
 2722 
 
 75x9 
 
 7686 
 
 1 10.892 
 
 3i 
 
 3o 
 
 5.97576 
 
 6.691 16 
 
 7.59575 
 
 8.77689 
 
 10. 3854 
 
 12.7062 
 
 16.3499 
 
 22.9038 
 
 38.1885 
 
 114.589 
 
 3o 
 
 3[ 
 
 8646 
 
 6.70450 
 
 7.61287 
 
 9964 
 
 4172 
 
 7536 
 
 4283 
 
 23.0577 
 
 6x77 
 
 X18.540 
 
 29 
 
 32 
 
 9720 
 
 1789 
 
 3oo5 
 
 8.82252 
 
 4491 
 
 8014 
 
 5075 
 
 2x37 
 
 39.0568 
 
 122.774 
 
 28 
 
 33 
 
 6.00797 
 
 3x33 
 
 4732 
 
 455i 
 
 48x3 
 
 8496 
 
 5874 
 
 37x8 
 
 5o59 
 
 127.321 
 
 27 
 
 34 
 
 1878 
 
 4483 
 
 6466 
 
 6862 
 
 5x36 
 
 8981 
 
 6681 
 
 5321 
 
 9655 
 
 X32.2X9 
 
 26 
 
 35 
 
 2962 
 
 5838 
 
 8208 
 
 9185 
 
 5462 
 
 9469 
 
 7496 
 
 6945 
 
 40.4358 
 
 X37.507 
 
 25 
 
 36 
 
 4o5i 
 
 7199 
 
 9957 
 
 8.91520 
 
 5789 
 
 9962 
 
 83i9 
 
 8593 
 
 9x74 
 
 X43.237 
 
 24 
 
 37 
 
 5i43 
 
 8564 
 
 7.71715 
 
 3867 
 
 6118 
 
 i3.o458 
 
 9i5o 
 
 24.0263 
 
 4 1. 4 1 06 
 
 149.465 
 
 23 
 
 38 
 
 6240 
 
 9936 
 
 3480 
 
 6227 
 
 645o 
 
 0958 
 
 9990 
 
 1957 
 
 9x58 
 
 i56.259 
 
 22 
 
 39 
 
 7340 
 
 6.8i3i2 
 
 5254 
 
 8598 
 
 6783 
 
 i46i 
 
 17.0837 
 
 3675 
 
 42.4335 
 
 163.700 
 
 21 
 
 4o 
 
 6.08444 
 
 6.82694 
 
 7.77035 
 
 9.00983 
 
 10.71 19 
 
 13.1969 
 
 17.1693 
 
 24.5418 
 
 42.9641 
 
 17X.885 
 
 20 
 
 4i 
 
 9552 
 
 4082 
 
 8825 
 
 3379 
 
 7457 
 
 2480 
 
 2558 
 
 7x85 
 
 43.5o8i 
 
 180.932 
 
 «9 
 
 42 
 
 6.10664 
 
 5475 
 
 7.80622 
 
 5789 
 
 7797 
 
 2996 
 
 3432 
 
 8978 
 
 44.0661 
 
 190.984 
 
 18 
 
 43 
 
 1779 
 
 6874 
 
 2428 
 
 821X 
 
 8x39 
 
 35i5 
 
 43i4 
 
 25.0798 
 
 6386 
 
 202.2x9 
 
 17 
 
 44 
 
 2899 
 
 8278 
 
 4242 
 
 9.10646 
 
 8483 
 
 4039 
 
 52o5 
 
 2644 
 
 45.2261 
 
 2x4.858 
 
 x6 
 
 45 
 
 4o23 
 
 9688 
 
 6064 
 
 3093 
 
 8829 
 
 4566 
 
 6106 
 
 4517 
 
 8294 
 
 229. X82 
 
 x5 
 
 46 
 
 5i5i 
 
 6.91104 
 
 7895 
 
 5554 
 
 9x78 
 
 509S 
 
 70x5 
 
 64i8 
 
 46.4489 
 
 245.552 
 
 i4 
 
 47 
 
 6283 
 
 2525 
 
 9734 
 
 8028 
 
 9529 
 
 5634 
 
 7934 
 
 8348 
 
 47.0853 
 
 264.441 
 
 i3 
 
 48 
 
 7419 
 
 3952 
 
 7.91582 
 
 9.2o5i6 
 
 9882 
 
 6174 
 
 8863 
 
 26.0307 
 
 7395 
 
 286.478 
 
 12 
 
 49 
 
 8559 
 
 5385 
 
 3438 
 
 3oi6 
 
 1 X.0237 
 
 67.9 
 
 9802 
 
 2296 
 
 48.4121 
 
 3X2.521 
 
 II 
 
 5o 
 
 6.19703 
 
 6.96823 
 
 7.95302 
 
 9.25530 
 
 I X.0594 
 
 X3.7267 
 
 18.0750 
 
 26.4316 
 
 49.1039 
 
 343.774 
 
 10 
 
 5i 
 
 6.2o85i 
 
 8268 
 
 7176 
 
 8o58 
 
 0954 
 
 7821 
 
 1708 
 
 6367 
 
 8i57 
 
 38I.97X 
 
 9 
 
 52 
 
 2oo3 
 
 9718 
 
 9o58 
 
 9.30599 
 
 i3i6 
 
 8378 
 
 2677 
 
 845o 
 
 50.5485 
 
 429.7x8 
 
 8 
 
 53 
 
 3i6o 
 
 7.01174 
 
 8.00948 
 
 3i55 
 
 1681 
 
 8940 
 
 3655 
 
 27.0566 
 
 5x.3o32 
 
 491.106 
 
 7 
 
 54 
 
 4321 
 
 2637 
 
 2848 
 
 5724 
 
 2o48 
 
 9507 
 
 4645 
 
 27x5 
 
 52.0807 
 
 572.957 
 
 6 
 
 55 
 
 5486 
 
 4io5 
 
 4756 
 
 83o7 
 
 2417 
 
 14.0079 
 
 5645 
 
 4899 
 
 8821 
 
 687.549 
 
 5 
 
 56 
 
 6655 
 
 5579 
 
 6674 
 
 9.40904 
 
 2789 
 
 o655 
 
 6656 
 
 7XX7 
 
 53.7086 
 
 859.436 
 
 4 
 
 57 
 
 7829 
 
 7059 
 
 8600 
 
 35i5 
 
 3i63 
 
 1235 
 
 7678 
 
 9372 
 
 54.56x3 
 
 1 145.92 
 
 3 
 
 58 
 
 ' 7 
 
 9007 
 6.30189 
 
 8546 
 
 8.10536 
 
 6i4i 
 
 3540 
 
 1821 
 
 871X 
 
 28.1664 
 
 55.44i5 
 
 1718.87 
 
 2 
 
 59 
 
 7.ioo38 
 
 2481 
 
 8781 
 
 3919 
 
 24ll 
 
 9755 
 
 3994 
 
 56.35o6 
 
 3437.75 
 
 I 
 
 
 9° 
 
 8° 
 
 7° 
 
 6° 
 
 5° 
 
 4° 
 
 3° 
 
 2° 
 
 1° 
 
 0° 
 
 3 
 
 Natural C 
 
 3-tanger 
 
 its. 
 
 1 r ' ' 
 
 P-P;_i7.8„ 22.19 
 
 28.46 
 
 37.83 
 
 5.28 
 
 7.88 
 
 i3.oi 
 
 
 
 
 
 
 
134 
 
 Natural Secants. 
 
 Deg. 
 
 0' 
 
 10' 
 
 20' 
 
 30' 
 
 40' 
 
 50' 
 
 
 P. Part 
 
 to r . 
 
 O 
 
 I .000000 
 
 1 .000004 
 
 1 .000017 
 
 1 .000088 
 
 1 .000068 
 
 I .000106 
 
 89 
 
 2.5 
 
 I 
 
 0001 52 
 
 000207 
 
 000271 
 
 000843 
 
 000428 
 
 ooo5i2 
 
 88 
 
 7.6 
 
 2 
 
 000609 
 
 000715 
 
 000880 
 
 000953 
 
 001084 
 
 001224 
 
 87 
 
 12.7 
 
 3 
 
 001872 
 
 001529 
 
 001695 
 
 001869 
 
 00205l 
 
 002242 
 
 86 
 
 17.8 
 
 4 
 
 002442 
 
 002600 
 
 002867 
 
 008092 
 
 008826 
 
 003569 
 
 85 
 
 22.9 
 
 5 
 
 oo3820 
 
 oo4o8o 
 
 004348 
 
 004625 
 
 004911 
 
 oo52o5 
 
 84 
 
 28.1 
 
 6 
 
 oo55o8 
 
 005820 
 
 006141 
 
 006470 
 
 006808 
 
 007154 
 
 83 
 
 88.3 
 
 7 
 
 007510 
 
 007874 
 
 008247 
 
 008629 
 
 009020 
 
 009419 
 
 82 
 
 38.6 
 
 8 
 
 009828 
 
 010245 
 
 010671 
 
 011106 
 
 oii55o 
 
 012008 
 
 81 
 
 43.9 
 
 9 
 
 012465 
 
 012986 
 
 oi34i6 
 
 018905 
 
 oi44o3 
 
 014910 
 
 80 
 
 49.8 
 
 lO 
 
 I .015427 
 
 I .015952 
 
 1 .016487 
 
 I .017080 
 
 1.017588 
 
 I. 018145 
 
 79 
 
 54.8 
 
 II 
 
 018717 
 
 019297 
 
 019887 
 
 020487 
 
 021095 
 
 021718 
 
 78 
 
 60.4 
 
 12 
 
 02234l 
 
 022977 
 
 028624 
 
 024280 
 
 024945 
 
 025620 
 
 77 
 
 66.0 
 
 i3 
 
 o263o4 
 
 026998 
 
 027702 
 
 o284i5 
 
 029188 
 
 029871 
 
 76 
 
 71.8 
 
 i4 
 
 o3o6i4 
 
 o3i366 
 
 032128 
 
 082900 
 
 088682 
 
 034474 
 
 75 
 
 77-7 
 
 i5 
 
 035276 
 
 086088 
 
 086910 
 
 087742 
 
 088584 
 
 089487 
 
 74 
 
 88.7 
 
 i6 
 
 040299 
 
 o4i 172 
 
 o42o55 
 
 042949 
 
 o43858 
 
 044767 
 
 73 
 
 89.8 
 
 I? 
 
 045692 
 
 046627 
 
 047578 
 
 048529 
 
 049496 
 
 o5o474 
 
 72 
 
 96. 1 
 
 i8 
 
 o5i462 
 
 o5246i 
 
 053471 
 
 054492 
 
 055524 
 
 o56567 
 
 71 
 
 102.6 
 
 19 
 
 057621 
 
 o58686 
 
 059762 
 
 060849 
 
 061947 
 
 o63o57 
 
 70 
 
 109.2 
 
 20 
 
 I .064178 
 
 i.o653io 
 
 1 .066454 
 
 1 .067609 
 
 I .068776 
 
 1 .069955 
 
 69 
 
 1 16. 1 
 
 21 
 
 071 i45 
 
 072847 
 
 078561 
 
 074786 
 
 076024 
 
 077278 
 
 68 
 
 123.2 
 
 22 
 
 078535 
 
 079808 
 
 081094 
 
 082892 
 
 088708 
 
 o85o25 
 
 67 
 
 180.4 
 
 23 
 
 o8636o 
 
 087708 
 
 089068 
 
 090441 
 
 091827 
 
 098225 
 
 66 
 
 187.9 
 
 24 
 
 094636 
 
 096060 
 
 097498 
 
 098948 
 
 ioo4ii 
 
 101888 
 
 65 
 
 145.6 
 
 25 
 
 103378 
 
 io488i 
 
 106898 
 
 107929 
 
 109478 
 
 11 io3o 
 
 64 
 
 153.7 
 
 26 
 
 112602 
 
 114187 
 
 115787 
 
 117400 
 
 1 19028 
 
 120670 
 
 63 
 
 162.0 
 
 27 
 
 122826 
 
 128997 
 
 125682 
 
 127882 
 
 129096 
 
 180826 
 
 62 
 
 170.7 
 
 28 
 
 182570 
 
 134329 
 
 i36io4 
 
 187898 
 
 189698 
 
 i4i5i8 
 
 61 
 
 179.7 
 
 29 
 
 143354 
 
 i452o5 
 
 147078 
 
 148956 
 
 i5o854 
 
 152769 
 
 60 
 
 189.1 
 
 3o 
 
 I .154701 
 
 1. 156648 
 
 i.i586i2 
 
 1 .160592 
 
 1.162589 
 
 1.164608 
 
 59 
 
 198.9 
 
 3i 
 
 166683 
 
 168681 
 
 170746 
 
 172828 
 
 174927 
 
 177044 
 
 58 
 
 209. 1 
 
 32 
 
 179178 
 
 181881 
 
 i835oi 
 
 185689 
 
 187895 
 
 190120 
 
 57 
 
 219.7 
 
 33 
 
 192868 
 
 194625 
 
 196906 
 
 199205 
 
 201528 
 
 208861 
 
 56 
 
 280.9 
 
 34 
 
 206218 
 
 208594 
 
 210991 
 
 2i34o6 
 
 2l5842 
 
 218298 
 
 55 
 
 242.6 
 
 35 
 
 220775 
 
 228271 
 
 225789 
 
 228827 
 
 23o886 
 
 283466 
 
 54 
 
 254.8 
 
 36 
 
 286068 
 
 288691 
 
 24i336 
 
 244oo3 
 
 246691 
 
 249402 
 
 58 
 
 267.7 
 
 37 
 
 252186 
 
 254892 
 
 257671 
 
 260472 
 
 268298 
 
 266146 
 
 52 
 
 281.3 
 
 38 
 
 269018 
 
 271914 
 
 274834 
 
 277779 
 
 280748 
 
 283741 
 
 5i 
 
 295.6 
 
 39 
 
 286760 
 
 289808 
 
 292872 
 
 295967 
 
 299088 
 
 802284 
 
 5o 
 
 810.7 
 
 4o 
 
 I .805407 
 
 1.808607 
 
 1.811888 
 
 1.815087 
 
 1.818868 
 
 1 .821677 
 
 49 
 
 826.7 
 
 4i 
 
 325oi3 
 
 828878 
 
 881771 
 
 335192 
 
 338643 
 
 342128 
 
 48 
 
 843.6 
 
 42 
 
 345633 
 
 349172 
 
 352742 
 
 356342 
 
 359972 
 
 868684 
 
 47 
 
 361.5 
 
 43 
 
 867827 
 
 871052 
 
 374809 
 
 878598 
 
 382420 
 
 886275 
 
 46 
 
 880.5 
 
 44 
 
 890164 
 
 894086 
 
 898042 
 
 402082 
 
 4o6o57 
 
 410118 
 
 45 
 
 4oo. 7 
 
 45 
 
 4i42i4 
 
 4i8345 
 
 4225i3 
 
 426718 
 
 480960 
 
 435289 
 
 44 
 
 422 8 
 
 46 
 
 439557 
 
 443912 
 
 448806 
 
 452740 
 
 457218 
 
 461726 
 
 48 
 
 445.3 
 
 47 
 
 466279 
 
 470874 
 
 475509 
 
 480187 
 
 484907 
 
 489670 
 
 42 
 
 469.8 
 
 48 
 
 494477 
 
 499827 
 
 5o422I 
 
 509160 
 
 5i4i45 
 
 519176 
 
 4i 
 
 496.2 
 
 49 
 
 524253 
 
 529877 
 
 534549 
 
 589769 
 
 545088 
 
 55o356 
 
 4o 
 
 524.4 
 
 5o 
 
 1.555724 
 
 1 .56ii42 
 
 1.566612 
 
 1.572134 
 
 1 .577708 
 
 1.583835 
 
 39 
 
 554.7 
 
 5i 
 
 589016 
 
 594751 
 
 600542 
 
 606888 
 
 612291 
 
 6i825i 
 
 88 
 
 587.4 
 
 52 
 
 624269 
 
 680846 
 
 636483 
 
 642680 
 
 648988 
 
 655258 
 
 37 
 
 623.7 
 
 53 
 
 661640 
 
 668086 
 
 674597 
 
 681178 
 
 687815 
 
 694524 
 
 86 
 
 660 9 
 
 54 
 
 701802 
 
 708148 
 
 7i5o64 
 
 722o5l 
 
 729110 
 
 786241 
 
 35 
 
 702 . 2 
 
 55 
 
 743447 
 
 750727 
 
 758084 
 
 765517 
 
 778029 
 
 780620 
 
 34 
 
 747 '2 
 
 56 
 
 788292 
 
 796045 
 
 808881 
 
 811801 
 
 819806 
 
 827899 
 
 33 
 
 796.2 
 
 57 
 
 886078 
 
 844348 
 
 852707 
 
 861159 
 
 869704 
 
 878344 
 
 82 
 
 849.8 
 
 58 
 
 887080 
 
 895914 
 
 904847 
 
 918881 
 
 928017 
 
 982258 
 
 3i 
 
 908.5 
 
 59 
 
 94i6o4 
 
 95io58 
 
 960621 
 
 970294 
 
 980081 
 
 989982 
 
 80 
 
 973.0 
 
 
 60' 
 
 50' 
 
 40' 
 
 80' 
 
 20' 
 
 10' 
 
 Deg. 
 
 
 
 
 
 Natur 
 
 al Co-seca 
 
 DtS. 
 
 
 
 

 
 
 
 Natueal Secants. 
 
 
 
 
 
 135 
 
 Deg. 
 
 0' 
 
 10' 
 
 20' 
 
 30' 
 
 40' 
 
 50' 
 
 
 r. l'»rt 
 
 to r. 
 
 60 
 
 2.000000 
 
 2.0I0I36 
 
 2.020393 
 
 2.030772 
 
 2.041276 
 
 2.051906 
 
 29 
 
 io44 
 
 61 
 
 062665 
 
 073556 
 
 084579 
 
 095739 
 
 107036 
 
 118474 
 
 28 
 
 1123 
 
 62 
 
 i3oo54 
 
 141781 
 
 153655 
 
 i6568i 
 
 177859 
 
 190195 
 
 27 
 
 1210 
 
 63 
 
 202689 
 
 2i5346 
 
 228168 
 
 24ii58 
 
 254320 
 
 267657 
 
 26 
 
 i3o8 
 
 64 
 
 281172 
 
 294869 
 
 308750 
 
 322820 
 
 337083 
 
 35i542 
 
 25 
 
 1417 
 1539 
 1678 
 
 65 
 
 366202 
 
 38io65 
 
 396137 
 
 4ii42i 
 
 426922 
 
 442645 
 
 24 
 
 66 
 
 458593 
 
 474773 
 
 491187 
 
 507843 
 
 524744 
 
 541896 
 
 23 
 
 67 
 
 559305 
 
 576975 
 
 594914 
 
 6i3i26 
 
 63i6i8 
 
 650396 
 
 22 
 
 i835 
 
 68 
 
 669467 
 
 688837 
 
 7o85i4 
 
 7285o4 
 
 748814 
 
 769453 
 
 21 
 
 20 1 5 
 
 69 
 
 790428 
 
 811747 
 
 833419 
 
 855451 
 
 877853 
 
 900635 
 
 20 
 
 2222 
 
 70 
 
 2.923804 
 
 2.947372 
 
 2.971349 
 
 2.995744 
 
 3.020569 
 
 3.045835 
 
 19 
 
 2461 
 
 71 
 
 3.071553 
 
 3.097736 
 
 3. 124396 
 
 3.i5i545 
 
 179198 
 
 207367 
 
 18 
 
 2740 
 
 72 
 
 236o68 
 
 2653i5 
 
 295123 
 
 3255io 
 
 356490 
 
 388082 
 
 17 
 
 3o68 
 
 73 
 
 42o3o4 
 
 453173 
 
 486711 
 
 520937 
 
 555871 
 
 591536 
 
 16 
 
 3458 
 
 74 
 
 627955 
 
 665i52 
 
 7o3i5i 
 
 741978 
 
 781660 
 
 822225 
 
 i5 
 
 3925 
 4492 
 
 75 
 
 863703 
 
 906125 
 
 949522 
 
 993929 
 
 4.039380 
 
 4.085913 
 
 i4 
 
 76 
 
 4.133565 
 
 4.182378 
 
 4.232394 
 
 4.283658 
 
 336215 
 
 3901 16 
 
 1 3 
 
 5190 
 6062 
 
 77 
 
 44541 1 
 
 5o2i57 
 
 56o4o8 
 
 620226 
 
 681675 
 
 744821 
 
 12 
 
 78 
 
 809734 
 
 876491 
 
 945169 
 
 5.oi5852 
 
 5.088628 
 
 5.163592 
 
 1 1 
 
 71 71 
 
 79 
 
 5.240843 
 
 5.320486 
 
 5.402633 
 
 487404 
 
 574926 
 
 665333 
 
 10 
 
 8612 
 
 80 
 
 5.758770 
 
 5,855392 
 
 5.955362 
 
 6.058858 
 
 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 
 
 8.0I5645 
 
 7 
 
 
 83 
 
 8.2o55o9 
 
 8.4o4659 
 
 8.613790 
 
 8.833671 
 
 9.o65i5i 
 
 9.309170 
 
 6 
 
 
 84 
 
 9.566772 
 
 9.839123 
 
 10. 12752 
 
 10.43343 
 
 10,75849 
 
 11 .10455 
 
 5 
 
 
 85 
 
 II. 47371 
 
 11.86837 
 
 12.29125 
 
 12.74549 
 
 13.23472 
 
 i3. 76311 
 
 4 
 
 
 86 
 
 14.33559 
 
 14.95788 
 
 i5. 63679 
 
 i6,38o4i 
 
 17.19843 
 
 18. 10262 
 
 3 
 
 
 87 
 
 19. 10732 
 
 20.23028 
 
 21.49368 
 
 22.92559 
 
 24.56212 
 
 26.45o5i 
 
 2 
 
 
 88 
 
 28.65371 
 
 3i, 25758 
 
 34.38232 
 
 38.20155 
 
 42.97571 
 
 49. ii4o6 
 
 I 
 
 1 
 
 89 
 
 57.29869 
 
 68.75736 
 
 85.94561 
 
 114.5930 
 
 171.8883 
 
 343.7752 
 
 
 
 
 60' 
 
 50' 
 
 40' 
 
 30' 
 
 20' 
 
 10' 
 
 Deg. 
 
 
 Natural Co-secants, 
 
 LENGTHS OF CIRCULAR ARCS. 
 
 Degrees. 
 
 Minutes. 
 
 Seconds. 
 
 
 
 I 
 
 .0174533 
 
 
 26 
 
 .4537856 
 
 
 
 5i 
 
 .8901179 
 
 / 
 I 
 
 .0002909 
 
 // 
 1 
 
 .0000048 
 
 2 
 
 .0349066 
 
 27 
 
 .4712389 
 
 52 
 
 .9075712 
 
 2 
 
 .ooo58i8 
 
 2 
 
 .0000097 
 
 3 
 
 .0523599 
 
 28 
 
 .4886922 
 
 53 
 
 .9250245 
 
 3 
 
 .0008727 
 
 3 
 
 .0000145 
 
 4 
 
 .0698132 
 
 29 
 
 .5o6i455 
 
 54 
 
 .9424778 
 
 4 
 
 .ooii636 
 
 4 
 
 .0000194 
 
 5 
 
 .0872665 
 
 3o 
 
 .5235988 
 
 55 
 
 .959931 1 
 
 5 
 
 .0014544 
 
 5 
 
 .0000242 
 
 6 
 
 . 1047198 
 
 3i 
 
 .54io52i 
 
 56 
 
 •9773844 
 
 6 
 
 .0017453 
 
 6 
 
 ,0000291 
 
 7 
 
 . 1221730 
 
 32 
 
 .5585o54 
 
 57 
 
 .9948377 
 
 7 
 
 .0020362 
 
 7 
 
 .0000339 
 
 8 
 
 . 1396263 
 
 33 
 
 .5759587 
 
 58 
 
 I .0122910 
 
 8 
 
 .0023271 
 
 8 
 
 .0000888 
 
 9 
 
 .1570796 
 
 34 
 
 .59341 19 
 
 59 
 
 I .0297443 
 
 9 
 
 .0026180 
 
 9 
 
 .0000436 
 
 10 
 
 .1745329 
 
 35 
 
 .6io8652 
 
 60 
 
 I .0471976 
 
 10 
 
 .0029089 
 
 10 
 
 .oooo485 
 
 1 1 
 
 . 1919862 
 
 36 
 
 .6283i85 
 
 65 
 
 1. 1 344640 
 
 11 
 
 .0031998 
 
 11 
 
 .oooo533 
 
 12 
 
 .2094395 
 
 37 
 
 .6457718 
 
 70 
 
 1 ,2217305 
 
 12 
 
 .0034907 
 
 12 
 
 .oooo582 
 
 i3 
 
 .2268928 
 
 38 
 
 .6632251 
 
 75 
 
 I ,3089969 
 
 i3 
 
 .0037815 
 
 i3 
 
 .oooo63o 
 
 i4 
 
 .2443461 
 
 39 
 
 .6806784 
 
 80 
 
 1,3962634 
 
 14 
 
 .0040724 
 
 i4 
 
 .0000679 
 
 i5 
 
 .2617994 
 
 4o 
 
 .6981317 
 
 85 
 
 I ,4835299 
 
 i5 
 
 .oo43633 
 
 i5 
 
 .0000727 
 
 16 
 
 .2792527 
 
 4i 
 
 .7i5585o 
 
 90 
 
 I ,5707963 
 
 16 
 
 .oo46542 
 
 16 
 
 .0000776 
 
 17 
 
 .2967060 
 
 43 
 
 .733o383 
 
 100 
 
 1.7453293 
 
 I? 
 
 .0049451 
 
 17 
 
 .0000824 
 
 18 
 
 .3i4i593 
 
 43 
 
 .7504916 
 
 1 10 
 
 1 .9198622 
 
 18 
 
 .oo5236o 
 
 18 
 
 .0000873 
 
 19 
 
 .3316126 
 
 44 
 
 ,7679449 
 
 120 
 
 2.0943951 
 
 19 
 
 .0055269 
 
 19 
 
 .0000921 
 
 20 
 
 .3490659 
 
 45 
 
 .7853982 
 
 i3o 
 
 2.2689280 
 
 20 
 
 .0058178 
 
 20 
 
 .0000970 
 
 21 
 
 .3665191 
 
 46 
 
 .8o285i5 
 
 i4o 
 
 2.4434610 
 
 25 
 
 .0072722 
 
 25 
 
 .0001212 
 
 22 
 
 .3839724 
 
 47 
 
 .8203047 
 
 i5o 
 
 2,6179939 
 
 3o 
 
 .0087266 
 
 3o 
 
 .0001454 
 
 23 
 
 .4014257 
 
 48 
 
 .8377580 
 
 160 
 
 2.7925268 
 
 4o 
 
 .0116355 
 
 4o 
 
 .0001939 
 
 24 
 
 .4188790 
 
 49 
 
 .8552113 
 
 170 
 
 2.9670597 
 
 5o 
 
 .0145444 
 
 5o 
 
 .0002424 
 
 25 
 
 ,4363323 
 
 5o 
 
 .8726646 
 
 180 
 
 3. 1415927 
 
 60 
 
 .0174533 
 
 60 
 
 .0002909 
 
136 
 
 Travekse Table. 
 
 a 
 
 1 
 
 P 
 I 
 
 'A Dog. 
 
 '% Deg. 
 
 % Deg. 
 
 IDeg. 
 
 IK Deg. 
 
 IK Deg. 
 
 
 
 a 
 
 I 
 
 t>al. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 I.at. 
 
 Dep. 
 O.OI 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 1. 00 
 
 Dep. ! 
 
 1. 00 
 
 0.00 
 
 1. 00 
 
 O.OI 
 
 1. 00 
 
 1. 00 
 
 0.02 
 
 1. 00 
 
 0.02 
 
 o.o3 
 
 2 
 
 2.00 
 
 O.OI 
 
 2.00 
 
 0.02 
 
 2.00 
 
 o.o3 
 
 2.00 
 
 o.o3 
 
 2.00 
 
 o.o4 
 
 2.00 
 
 o.o5 
 
 2 
 
 3 
 
 3.00 
 
 O.OI 
 
 3.00 
 
 o.o3 
 
 3.00 
 
 o.o4 
 
 3.00 
 
 o.o5 
 
 3.00 
 
 0.07 
 
 3.00 
 
 0.08 
 
 3 
 
 4 
 
 4.00 
 
 0.02 
 
 4.00 
 
 o.o3 
 
 4.00 
 
 o.o5 
 
 4.00 
 
 0.07 
 
 4.00 
 
 0.09 
 
 4.00 
 
 0.10 
 
 4 
 
 5 
 
 5.00 
 
 0.02 
 
 5.00 
 
 o.o4 
 
 5.00 
 
 0.07 
 
 5.00 
 
 0.09 
 
 5.00 
 
 O.II 
 
 5.00 
 
 o.i3 
 
 5 
 
 6 
 
 6.00 
 
 o.o3 
 
 6.00 
 
 o.o5 
 
 6.00 
 
 0.08 
 
 6.00 
 
 O.IO 
 
 6.00 
 
 o.i3 
 
 6.00 
 
 0.16 
 
 6 
 
 7 
 8 
 
 7.00 
 8.00 
 
 o.o3 
 
 7.00 
 
 0.06 
 
 7.00 
 
 0.09 
 
 7.00 
 
 0.12 
 
 7.00 
 
 o.i5 
 
 7.00 
 
 0.18 
 
 7 
 
 o.o3 
 
 8.00 
 
 0.07 
 
 8.00 
 
 O.IO 
 
 8.00 
 
 o.i4 
 
 8.00 
 
 0.17 
 
 8.00 
 
 0.21 
 
 8 
 
 9 
 
 10 
 
 9.00 
 
 o.o4 
 
 9.00 
 
 0.08 
 
 9.00 
 
 0.12 
 
 9.00 
 
 0.16 
 
 9.00 
 
 0.20 
 
 9.00 
 
 0.24 
 
 9 
 
 10.00 
 
 o.o4 
 
 10.06 
 
 0.09 
 
 lO.OO 
 
 o.i3 
 
 10.00 
 
 0.17 
 
 10.00 
 
 0.22 
 
 10.00 
 
 0.26 
 
 10 
 
 II 
 
 11.00 
 
 o.o5 
 
 11.00 
 
 O.IO 
 
 11.00 
 
 o.i4 
 
 11.00 
 
 0.19 
 
 11.00 
 
 0.24 
 
 11.00 
 
 0.28 
 
 1 1 
 
 12 
 
 12.00 
 
 o.o5 
 
 12.00 
 
 O.IO 
 
 12.00 
 
 0.16 
 
 12.00 
 
 0.21 
 
 12.00 
 
 0.26 
 
 12.00 
 
 o.3i 
 
 12 
 
 i3 
 
 I 3.00 
 
 0.06 
 
 i3.oo 
 
 O.II 
 
 1 3.00 
 
 0.17 
 
 i3.oo 
 
 0.23 
 
 i3.oo 
 
 0.28 
 
 i3.oo 
 
 0.34 
 
 i3 
 
 i4 
 
 14.00 
 
 0.06 
 
 i4.oo 
 
 0.12 
 
 14.00 
 
 0.18 
 
 1 4.00 
 
 0.24 
 
 l4.00 
 
 o.3i 
 
 14.00 
 
 0.37 
 
 i4 
 
 i5 
 
 i5.oo 
 
 0.07 
 
 i5.oo 
 
 o.i3 
 
 i5.oo 
 
 0.20 
 
 i5.oo 
 
 0.26 
 
 ! 
 
 i5.oo 
 
 0.33 
 
 14.99 
 
 0.39 
 
 i5 
 
 i6 
 
 16.00 
 
 0.07 
 
 16.00 
 
 o.i4 
 
 16.00 
 
 0.21 
 
 16.00 
 
 0.28 
 
 16.00 
 
 0.35 
 
 15.99 
 
 0.42 
 
 16 
 
 37 
 18 
 
 17.00 
 
 0.07 
 
 17.00 
 
 o.i5 
 
 17.00 
 
 0.22 
 
 17.00 
 
 o.3o 
 
 17.00 
 
 0.37 
 
 16.99 
 
 0.45 
 
 17 
 
 18.00 
 
 0.08 
 
 18.00 
 
 0.16 
 
 18.00 
 
 0.24 
 
 18.00 
 
 o.3i 
 
 18.00 
 
 0.39 
 
 17.99 
 
 0.47 
 
 18 
 
 19 
 20 
 
 19.00 
 
 0.08 
 
 ig.oo 
 
 0.17 
 
 19.00 
 
 0.25 
 
 19.00 
 
 0.33 
 
 19.00 
 
 o.4i 
 
 18.99 
 
 o.5o 
 
 19 
 
 20.00 
 
 0.09 
 
 20.00 
 
 0.17 
 
 20.00 
 
 0.26 
 
 20.00 
 
 0.35 
 
 20.00 
 
 0.44 
 
 19.99 
 
 0.52 
 
 20 
 
 21 
 
 21.00 
 
 0.09 
 
 21.00 
 
 0.18 
 
 21.00 
 
 0.27 
 
 21.00 
 
 0.57 
 
 21.00 
 
 0.46 
 
 20.99 
 
 0.55 
 
 21 
 
 22 
 
 22.00 
 
 O.IO 
 
 22.00 
 
 0.19 
 
 22.00 
 
 0.29 
 
 22.00 
 
 0.38 
 
 21.99 
 
 0.48 
 
 21.99 
 
 0.58 
 
 22 
 
 23 
 
 23.00 
 
 O.IO 
 
 23.00 
 
 0.20 
 
 23.00 
 
 o.3o 
 
 23.00 
 
 o.4o 
 
 22.99 
 
 o.5o 
 
 22.99 
 
 0.60 
 
 23 
 
 24 
 
 24.00 
 
 O.IO 
 
 24.00 
 
 0.21 
 
 24.00 
 
 o.3i 
 
 24.00 
 
 0.42 
 
 23.99 
 
 0.52 
 
 23.99 
 
 0.63 
 
 24 
 
 25 
 
 25.00 
 
 O.I I 
 
 25.00 
 
 0.22 
 
 25.00 
 
 0.33 
 
 25.00 
 
 0.44 
 
 24.99 
 
 0.55 
 
 24.99 
 
 0.65 
 
 2 5 
 
 26 
 
 26.00 
 
 O.II 
 
 26.00 
 
 0.23 
 
 26.00 
 
 0.34 
 
 26.00 
 
 0.45 
 
 25.99 
 
 0.57 
 
 25.99 
 
 0.68 
 
 26 
 
 27 
 
 27.00 
 
 0.12 
 
 27.00 
 
 0.24 
 
 27.00 
 
 0.35 
 
 27.00 
 
 0.47 
 
 26.99 
 
 0.59 
 
 26.99 
 
 0.71 
 
 27 
 
 28 
 
 28.00 
 
 0.12 
 
 28.00 
 
 0.24 
 
 28.00 
 
 0.37 
 
 28.00 
 
 0.49 
 
 27.99 
 
 0.61 
 
 27.99 
 
 0.73 
 
 28 
 
 29 
 
 29.00 
 
 o.i3 
 
 29.00 
 
 0.25 
 
 29.00 
 
 0.38 
 
 29.00 
 
 o.5i 
 
 28.99 
 
 0.63 
 
 28.99 
 
 0.76 
 
 29 
 
 3o 
 
 3o.oo 
 
 o.i3 
 
 3o.oo 
 
 0.26 
 
 3o.oo 
 
 0.39 
 
 3o.oo 
 
 0.52 
 
 29.99 
 
 0.65 
 
 29.99 
 
 0.79 
 
 3o 
 
 3i 
 
 3 1. 00 
 
 o.i4 
 
 3 1. 00 
 
 0.27 
 
 3 1. 00 
 
 o.4i 
 
 3i.oo 
 
 0.54 
 
 30.99 
 
 0.68 
 
 30.99 
 
 0.81 
 
 3i 
 
 32 
 
 32.00 
 
 o.i4 
 
 32.00 
 
 0.28 
 
 32.00 
 
 0.42 
 
 32.00 
 
 0.56 
 
 31.99 
 
 0.70 
 
 31.99 
 
 0.84 
 
 32 
 
 33 
 
 33.00 
 
 0.14 
 
 33.00 
 
 0.29 
 
 33.00 
 
 0.43 
 
 32.99 
 
 0.58 
 
 32.99 
 
 0.72 
 
 32.99 
 
 0.86 
 
 33 
 
 34 
 
 34.00 
 
 o.i5 
 
 34.00 
 
 o.3o 
 
 34.00 
 
 0.45 
 
 33.99 
 
 0.59 
 
 33.99 
 
 0.74 
 
 33.99 
 
 0.89 
 
 34 
 
 35 
 
 35.00 
 
 o.i5 
 
 35.00 
 
 o.3i 
 
 35.00 
 
 0.46 
 
 34.99 
 
 0.61 
 
 34.99 
 
 0.76 
 
 34.99 
 
 0.92 
 
 35 
 
 36 
 
 36.00 
 
 0.16 
 
 36.00 
 
 o.3i 
 
 36.00 
 
 0.47 
 
 35.99 
 
 0.63 
 
 35.99 
 
 0.79 
 
 35.99 
 
 0.94 
 
 36 
 
 3? 
 
 37.00 
 
 0.16 
 
 37.00 
 
 0.32 
 
 37.00 
 
 0.48 
 
 36.99 
 
 0.65 
 
 36.99 
 
 0.81 
 
 36.99 
 
 0.97 
 
 37 
 
 38 
 
 38.00 
 
 ,0.17 
 
 38.00 
 
 0.33 
 
 38.00 
 
 o.5o 
 
 37.99 
 
 0.66 
 
 37.99 
 
 0.83 
 
 37.99 
 
 0.99 
 
 38 
 
 39 
 
 39.00 
 
 0.17 
 
 39.00 
 
 0.34 
 
 39.00 
 
 o.5i 
 
 38.99 
 
 0.68 
 
 38.99 
 
 0.85 
 
 38.99 
 
 1 .02 
 
 39 
 
 4o 
 
 4o.oo 
 
 0.17 
 
 40.00 
 
 0.35 
 
 4o.oo 
 
 0.52 
 
 39.99 
 
 0.70 
 
 39.99 
 
 0.87 
 
 39.99 
 
 i.o5 
 
 4o 
 
 4i 
 
 41.00 
 
 0.18 
 
 4 1. 00 
 
 0.36 
 
 4 1. 00 
 
 0.54 
 
 40.99 
 
 1 j 
 0.72 ' 40.99 
 
 0.89 
 
 40.99 
 
 1.07 
 
 4i 
 
 42 
 
 42.00 
 
 0.18 
 
 42.00 
 
 0.37 
 
 42.00 
 
 0.55 
 
 41.99 
 
 0.73 '41.99 
 
 0.92 
 
 41.99 
 
 l.IO 
 
 42 
 
 43 
 
 43.00 
 
 0.19 
 
 43.00 
 
 0.38 
 
 43.00 
 
 0.56 
 
 42.99 
 
 0.75 1' 42.99 
 
 0.94 
 
 42.99 
 
 i.i3 
 
 43 
 
 44 
 
 44.00 
 
 0.19 
 
 44.00 
 
 0.38 
 
 44.00 
 
 0.58 
 
 43.99 
 
 0.77 '43.99 
 
 0.96 
 
 43.99 
 
 i.i5 
 
 44 
 
 45 
 
 45.00 
 
 0.20 
 
 45.00 
 
 0.39 
 
 45.00 
 
 0.59 
 
 44.99 
 
 0.79 44.99 
 
 0.98 
 
 44.99 
 
 1. 18 
 
 45 
 
 46 
 
 46.00 
 
 0.20 
 
 46.00 
 
 o.4o 
 
 46.00 
 
 0.60 
 
 45.99 
 
 0.80 ' 45.99 
 
 1. 00 
 
 45.99 
 
 1.20 
 
 46 
 
 47 
 
 47.00 
 
 0.21 
 
 47.00 
 
 o.4i 
 
 47.00 
 
 0.62 
 
 46.99 
 
 0.82 j 46.99 
 
 i.o3 
 
 46.99 
 
 1.23 
 
 47 
 
 48 
 
 48.00 
 
 0.21 
 
 48.00 
 
 0.42 
 
 48.00 
 
 0.63 
 
 47-99 
 
 0.84 47.99 
 
 i.o5 
 
 47.98 
 
 1.26 
 
 48 
 
 49 
 
 49.00 
 
 0.21 
 
 49.00 
 
 0.43 
 
 49.00 
 
 0.64 
 
 48.99 
 
 0.86 48.99 
 
 1.07 
 
 48.98 
 
 1.28 
 
 49 
 
 5o 
 
 5o.oo 
 
 0.22 
 
 5 0.00 
 
 0.44 
 
 XatT 
 
 5o.oo 
 
 0.65 
 
 49-99 
 
 0.87 '1 49.99 
 
 1.09 
 
 49.98 
 
 i.3i 
 
 5o 
 
 1 
 
 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 lAt. Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 d 
 u 
 
 c 
 
 1 
 
 1 
 
 89% 
 
 Beg. 
 
 891^ Deg. 
 
 89M Deg. 
 
 89 Deg. 
 
 88% Deg. 
 
 88K 
 
 Deg. 
 
Traverse Table. 
 
 137 
 
 o 
 
 a 
 
 o 
 
 p 
 
 K Deg. 
 
 Vz Deg. 
 
 % Deg. 
 
 IDcg. 
 
 1% Deg. 
 
 ni Deg. 
 
 5 
 
 D 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 5 1. 00 
 
 Dep. i 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 0.89 
 
 Lut. 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 5i 
 
 5 1. 00 
 
 0.22 
 
 0.45 
 
 5 1. 00 
 
 0.67 
 
 50.99 
 
 50.99 
 
 I.I 1 
 
 50.98 
 
 1.34 
 
 5i 
 
 52 
 
 52.00 
 
 0.23 
 
 52.00 
 
 0.45 
 
 52.00 
 
 0.68 
 
 51.99 
 
 0.91 
 
 51.99 
 
 I.i3 
 
 51.98 
 
 1.36 
 
 52 
 
 53 
 
 53.00 
 
 0.23 
 
 53.00 
 
 0.46 
 
 53.00 
 
 0.69 
 
 52.99 
 
 0.92 
 
 52.99 
 
 1. 16 
 
 52.98 
 
 1.39 
 
 53 
 
 54 
 
 54.00 
 
 0.24 
 
 54.00 
 
 0.47 
 
 54.00 
 
 0.71 
 
 53.99 
 
 0.94 
 
 53.99 
 
 1. 18 
 
 53.98 
 
 i.4i 
 
 54 
 
 55 
 
 55.00 
 
 0.24 
 
 55.00 
 
 0.48 
 
 55.00 
 
 0.72 
 
 54.99 
 
 0.96 
 
 54.99 
 
 1.20 
 
 54.98 
 
 1.44 
 
 55 
 
 56 
 
 56. 00 
 
 0.24 
 
 56. 00 
 
 0.49 
 
 56.00 
 
 0.73 
 
 55.99 
 
 0.98 
 
 55.99 
 
 1.22 
 
 55.98 
 
 1.47 
 
 56 
 
 5? 
 
 57,00 
 
 0.25 
 
 57.00 
 
 o.5o 
 
 57.00 
 
 0.75 
 
 56.99 
 
 0.99 
 
 56.99 
 
 1.24 
 
 56.98 
 
 1.49 
 
 57 
 
 58 
 
 58.00 
 
 0.25 
 
 58.00 
 
 o.5i 
 
 57.99 
 
 0.76 
 
 57.99 
 
 1 .01 
 
 57.99 
 
 1.27 
 
 57.98 
 
 1.52 
 
 58 
 
 59 
 
 59.00 
 
 0.26 
 
 59.00 
 
 o.5i 
 
 58.99 
 
 0.77 
 
 58.99 
 
 i.o3 
 
 58.99 
 
 1.29 
 
 58.98 
 
 1.54 
 
 59 
 
 6o 
 
 60.00 
 
 0.26 
 
 60.00 
 
 0.52 
 
 59.99 
 
 0.79 
 
 59.99 
 
 i.o5 
 
 59.99 
 
 i.3i 
 
 59.98 
 
 1.57 
 
 60 
 
 6i 
 
 61.00 
 
 0.27 
 
 61.00 
 
 0.53 
 
 60.99 
 
 0.80 
 
 60.99 
 
 1.06 
 
 60.99 
 
 1.33 
 
 60.98 
 
 1.60 
 
 61 
 
 62 
 
 62.00 
 
 0.27 
 
 62.00 
 
 0.54 
 
 61.99 
 
 0.81 
 
 61.99 
 
 1.08 
 
 61.99 
 
 1.35 
 
 61.98 
 
 1.62 
 
 62 
 
 63 
 
 63. 00 
 
 0.27 
 
 63.00 
 
 0.55 
 
 62.99 
 
 0.82 
 
 62.99 
 
 1. 10 
 
 62.99 
 
 1.37 
 
 62.98 
 
 1.65 
 
 63 
 
 64 
 
 64.00 
 
 0.28 
 
 64.00 
 
 0.56 
 
 63.99 
 
 0.84 
 
 63.99 
 
 1. 12 
 
 63.98 
 
 i.4o 
 
 63.98 
 
 1.68 
 
 64 
 
 65 
 
 65.00 
 
 0.28 
 
 65.00 
 
 0.57 
 
 64.99 
 
 0.85 
 
 64.99 
 
 i.i3 
 
 64.98 
 
 1.42 
 
 64.98 
 
 1 .70 
 
 65 
 
 66 
 
 66.00 
 
 0.29 
 
 66.00 
 
 0.58 
 
 65.99 
 
 0.86 
 
 65.99 
 
 i.i5 
 
 65.98 
 
 1.44 
 
 65.98 
 
 1.73 
 
 66 
 
 67 
 
 67.00 
 
 0.29 
 
 67.00 
 
 0.58 
 
 66.99 
 
 0.88 
 
 66.99 
 
 1. 17 
 
 66.98 
 
 1.46 
 
 66.98 
 
 1.75 
 
 67 
 
 68 
 
 68.00 
 
 o.3o 
 
 68.00 
 
 0.59 
 
 67.99 
 
 0.89 
 
 67.99 
 
 1. 19 
 
 67.98 
 
 1.48 
 
 67.98 
 
 1.78 
 
 68 
 
 69 
 
 69.00 
 
 o.3o 
 
 69.00 
 
 0.60 
 
 68.99 
 
 0.90 
 
 68.99 
 
 1 .20 
 
 68.98 
 
 i.5i 
 
 68.98 
 
 1. 81 
 
 69 
 
 70 
 
 70.00 
 
 o.3i 
 
 70.00 
 
 0.61 
 
 69.99 
 
 0.92 
 
 69.99 
 
 1.22 
 
 69.98 
 
 1.53 
 
 69.98 
 
 1.83 
 
 70 
 
 71 
 
 71.00 
 
 o.3i 
 
 71.00 
 
 0.62 
 
 70.99 
 
 0.93 
 
 70.99 
 
 1.24 
 
 70.98 
 
 1.55 
 
 70.98 
 
 1.86 
 
 7' 
 
 72 
 
 72.00 
 
 o.3i 
 
 72.00 
 
 0.63 
 
 71.99 
 
 0.94 
 
 71.99 
 
 1.26 
 
 71.98 
 
 1.57 
 
 71.98 
 
 1.88 
 
 72 
 
 73 
 
 73.00 
 
 0.32 
 
 73.00 
 
 0.64 
 
 72.99 
 
 0.96 
 
 72.99 
 
 1.27 
 
 72.98 
 
 1.59 
 
 72.97 
 
 1.91 
 
 73 
 
 74 
 
 74.00 
 
 0.32 
 
 74.00 
 
 0.65 
 
 73.99 
 
 0-97 
 
 73.99 
 
 1.29 
 
 73.98 
 
 1.61 
 
 73.97 
 
 1.94 
 
 74 
 
 75 
 
 75.00 
 
 0.33 
 
 75.00 
 
 0.65 
 
 74.99 
 
 0.98 
 
 74.99 
 
 i.3i 
 
 74.98 
 
 1.64 
 
 74.97 
 
 1.96 
 
 75 
 
 76 
 
 76.00 
 
 0.33 
 
 76.00 
 
 0.66 
 
 75.99 
 
 0.99 
 
 75.99 
 
 1.33 
 
 75.98 
 
 1.66 
 
 75.97 
 
 1.99 
 
 76 
 
 77 
 
 77.00 
 
 0.34 
 
 77.00 
 
 0.67 
 
 76.99 
 
 1. 01 
 
 76.99 
 
 1.34 
 
 76.98 
 
 1.68 
 
 76.97 
 
 2.02 
 
 77 
 
 78 
 
 78.00 
 
 0.34 
 
 78.00 
 
 0.68 
 
 77-99 
 
 1.02 
 
 77-99 
 
 1.36 
 
 77.98 
 
 1.70 
 
 77-97 
 
 2.o4 
 
 78 
 
 79 
 
 79.00 
 
 0.34 
 
 79.00 
 
 0.69 
 
 78.99 
 
 i.o3 
 
 78.99 
 
 1.38 
 
 78.98 
 
 1.72 
 
 78.97 
 
 2.07 
 
 79 
 
 80 
 
 80.00 
 
 0.35 
 
 80.00 
 
 0.70 
 
 79-99 
 
 i.o5 
 
 79-99 
 
 i.4o 
 
 79.98 
 
 1.75 
 
 79-97 
 
 2.09 
 
 80 
 
 81 
 
 81.00 
 
 0.35 
 
 81.00 
 
 0.71 
 
 S0.99 
 
 1 .06 
 
 80.99 
 
 1.41 
 
 80.98 
 
 1-77 
 
 80.97 
 
 2.12 
 
 81 
 
 82 
 
 82.00 
 
 0.36 
 
 82.00 
 
 0.72 
 
 81.99 
 
 1.07 
 
 81.99 
 
 1.43 
 
 81.98 
 
 1-79 
 
 81.97 
 
 2.l5 
 
 82 
 
 83 
 
 83.00 
 
 0.36 
 
 8 3. 00 
 
 0.72 
 
 82.99 
 
 1.09 
 
 82.99 
 
 1.45 
 
 82.98 
 
 1.81 
 
 82.97 
 
 2.17 
 
 83 
 
 84 
 
 84.00 
 
 0.37 
 
 84.00 
 
 0.73 
 
 83.99 
 
 1. 10 
 
 83.99 
 
 1.47 
 
 83.98 
 
 1.83 
 
 83.97 
 
 2.20 
 
 84 
 
 85 
 
 85.O0 
 
 0.37 
 
 85.00 
 
 0.74 
 
 84.99 
 
 I.I I 
 
 84.99 
 
 1.48 
 
 84.98 
 
 1.85 
 
 84-97 
 
 2.23 
 
 85 
 
 86 
 
 86.00 
 
 0.38 
 
 86.00 
 
 0.75 
 
 85.99 
 
 i.i3 
 
 85.99 
 
 1 .5o 
 
 85.98 
 
 1.88 
 
 85.97 
 
 2.25 
 
 86 
 
 87 
 
 87.00 
 
 0.38 
 
 87.00 
 
 0.76 
 
 86.99 
 
 i.i4 
 
 86.99 
 
 1.52 
 
 86.98 
 
 1.90 
 
 86.97 
 
 2.28 
 
 87 
 
 88 
 
 88.00 
 
 0.38 
 
 88.00 
 
 0.77 
 
 87.99 
 
 i.i5 
 
 87.99 
 
 1.54 
 
 87.98 
 
 1.92 
 
 87.97 
 
 2.3o 
 
 88 
 
 89 
 
 89.00 
 
 0.39 
 
 89.00 
 
 0.78 
 
 88.99 
 
 1. 16 
 
 88.99 
 
 1.55 
 
 88.98 
 
 1.94 
 
 88.97 
 
 2.33 
 
 89 
 
 90 
 
 90.00 
 
 0.39 
 
 90.00 
 
 0.79 
 
 89.99 
 
 1. 18 
 
 89.99 
 
 1.57 
 
 89.98 
 
 1.96 
 
 89.97 
 
 2.36 
 
 90 
 
 91 
 
 91.00 
 
 o.4o 
 
 91.00 
 
 0.79 
 
 90.99 
 
 1. 19 
 
 90.99 
 
 1.59 
 
 90.98 
 
 1.99 
 
 90.97 
 
 2.38 
 
 91 
 
 92 
 
 02.00 
 
 o.4o 
 
 92.00 
 
 0.80 
 
 91.99 
 
 1.20 
 
 91.99 
 
 1.61 
 
 > 91.98 
 
 2.01 
 
 91.97 
 
 2.4 I 
 
 92 
 
 93 
 
 qS.oo 
 
 o.4i 
 
 q3.oo 
 
 0.81 
 
 92.99 
 
 1.22 
 
 92.99 
 
 1.63 
 
 92.98 
 
 2.o3 
 
 92.97 
 
 2.43 
 
 93 
 
 94 
 
 qA.oo 
 
 o.4i 
 
 94.00 
 
 0.82 
 
 9^-97 
 
 1.23 
 
 93.99 
 
 1.64 
 
 • 93.98 
 
 2.o5 
 
 93.97 
 
 2.46 
 
 94 
 
 95 
 
 7 
 
 95.00 
 
 o.4i 
 
 95.00 
 
 0.83 
 
 94.99 
 
 1.24 
 
 94-99 
 
 1.66 
 
 94.98 
 
 2.07 
 
 94-97 
 
 2.49 
 
 95 
 
 96 
 
 n6.oo 
 
 0.42 
 
 q6.oo 
 
 0.84 
 
 95.99 
 
 1.26 
 
 95.99 
 
 1.68 
 
 1 95.98 
 
 2.09 
 
 95.97 
 
 2.5l 
 
 96 
 
 97 
 
 97.00 
 
 0.42 
 
 97.00 
 
 0.85 
 
 96.99 
 
 1.27 
 
 96.99 
 
 1.69 
 
 96.98 
 
 2.12 
 
 96.97 
 
 2.54 
 
 r 
 
 97 
 
 98 
 99 
 
 08.00 
 
 0.43 
 
 qS.oo 
 
 0.86 
 
 97-99 
 
 1.28 
 
 97-99 
 
 1.71 
 
 97.98 
 
 2.l4 
 
 97-97 
 
 2.57 
 
 98 
 
 y 
 
 QQ.OO 
 
 0.43 
 
 i 99-0° 
 
 0.86 
 
 98.99 
 
 i.3o 
 
 98.98 
 
 1.73 
 
 ! 98.98 
 
 2.16 
 
 98.97 
 
 2.59 
 
 99 
 
 100 
 
 100. oc 
 
 0.44 
 
 100.00 0.87 
 
 99-99 
 
 i.3i 
 
 99.98 
 
 1.75 
 
 99.98 
 
 2.18 
 
 99-97 
 
 2.62 
 
 1 
 
 1 Ijit. 
 
 100 
 
 8 
 
 a 
 2 
 
 Q 
 
 1 
 
 a 
 
 Dep. 
 
 Lat. 
 
 Dep. Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 Lat. 
 
 j Dep. 
 
 Lat. 
 
 Dep. 
 
 89% Deg. 
 
 891^ Deg. 
 
 89K Deg. 
 
 89 Deg. 
 
 88% Deg. 
 
 881^ Deg. 
 
 1 
 
 
 
 
 
 ' 1 
 
las 
 
 
 
 
 Travekse Table. 
 
 
 
 
 , 
 
 o 
 
 » 
 
 3 
 n 
 a 
 
 I 
 
 1% Deg. 
 
 2 Deg. 
 
 2% Deg. 
 
 2H Deg. 
 
 2% Deg. 
 
 3 Deg. 
 
 D 
 
 D 
 
 
 
 1 
 
 Uit. 1 Dep. 
 
 I,at. 
 
 Dep. 
 o.o3 
 
 Lat. 1 Dep. 
 
 i.at. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 o.o5 
 
 Lat. 
 
 Dep. 
 
 1. 00 o.o3 
 
 1. 00 
 
 1. 00 
 
 o.o4 
 
 1.00 
 
 o.o4 
 
 1. 00 
 
 1. 00 
 
 o.o5 
 
 2 
 
 2.00 
 
 0.06 
 
 2.00 
 
 0.07 
 
 2.00 
 
 0.08 
 
 2.00 
 
 0.09 
 
 2.00 
 
 0.10 
 
 2.00 
 
 0.10 
 
 2 
 
 3 
 
 3.00 
 
 0.09 
 
 3.00 
 
 O.IO 
 
 3.00 
 
 0.12 
 
 3.00 
 
 o.i3 
 
 3.00 
 
 o.i4 
 
 3.00 
 
 0.16 
 
 3 
 
 4 
 
 4.00 
 
 0.12 
 
 4.00 
 
 o.i4 
 
 4.00 
 
 0.16 
 
 4.00 
 
 0.17 
 
 4.00 
 
 0.19 
 
 3.99 
 
 0.21 
 
 4 
 
 5 
 
 5.00 
 
 o.i5 
 
 5.00 
 
 0.17 
 
 5.00 
 
 0.20 
 
 5.00 
 
 0.22 
 
 4.99 
 
 0.24 
 
 4.99 
 
 0.26 
 
 5 
 
 6 
 
 6.00 
 
 0.18 
 
 6.00 
 
 0.21 
 
 6.00 
 
 0.24 
 
 5.99 
 
 0.26 
 
 5.99 
 
 0.29 
 
 5.99 
 
 o.3i 
 
 6 
 
 7 
 
 7.00 
 
 0.21 
 
 7.00 
 
 0.24 
 
 6.99 
 
 0.27 
 
 6.99 
 
 o.3i 
 
 6.99 
 
 0.34 
 
 6.99 
 
 0.37 
 
 7 
 
 8 
 
 8.00 
 
 0.25 
 
 7-99 
 
 0.28 
 
 7-99 
 
 o.3i 
 
 7-99 
 
 0.35 
 
 7-99 
 
 0.38 
 
 7-99 
 
 0.42 
 
 8 
 
 9 
 
 9.00 
 
 0.28 
 
 8.99 
 
 o.3i 
 
 8.99 
 
 0.35 
 
 8.99 
 
 0.39 
 
 8.99 
 
 0.43 
 
 8.99 
 
 0.47 
 
 9 
 
 lO 
 
 10.00 
 
 o.3i 
 
 9-99 
 
 0.35 
 
 9-99 
 
 0.39 
 
 9-99 
 
 0.44 
 
 9-99 
 
 0.48 
 
 9-99 
 
 0.52 
 
 10 
 
 II 
 
 10.99 
 
 0.34 
 
 10.99 
 
 0.38 
 
 10.99 
 
 0.43 
 
 10.99 
 
 0.48 
 
 10.99 
 
 0.53 
 
 10.98 
 
 0.58 
 
 1 1 
 
 12 
 
 1 1 .99 
 
 0.37 
 
 11.99 
 
 0.42 
 
 11.99 
 
 0.47 
 
 11.99 
 
 0.52 
 
 11.99 
 
 0.58 
 
 11.98 
 
 0.63 
 
 12 
 
 i3 
 
 12.99 
 
 o.4o 
 
 12.99 
 
 0.45 
 
 12.99 
 
 o.5i 
 
 12.99 
 
 0.57 
 
 12.99 
 
 0.62 
 
 12.98 
 
 0.68 
 
 i3 
 
 i4 
 
 13.99 
 
 0.43 
 
 13.99 
 
 0.49 
 
 13.99 
 
 0.55 
 
 13.99 
 
 0.61 
 
 13.98 
 
 0.67 
 
 13.98 
 
 0.73 
 
 i4 
 
 i5 
 
 14.99 
 
 0.46 
 
 14.99 
 
 0.52 
 
 14.99 
 
 0.59 
 
 14.99 
 
 0.65 
 
 14.98 
 
 0.72 
 
 14.98 
 
 0.79 
 
 i5 
 
 i6 
 
 i5.99 
 
 0.49 
 
 15.99 
 
 0.56 
 
 15.99 
 
 0.63 
 
 15.99 
 
 0.70 
 
 15.98 
 
 0.77 
 
 15.98 
 
 0.84 
 
 16 
 
 '7 
 
 16.99 
 
 0.52 
 
 16.99 
 
 0.59 
 
 16.99 
 
 0.67 
 
 16.98 
 
 0.74 
 
 16.98 
 
 0.82 
 
 16.98 
 
 0.89 
 
 17 
 
 i8 
 
 17.99 
 
 0.55 
 
 17.99 
 
 0.63 
 
 17.99 
 
 0.71 
 
 17.98 
 
 0.79 
 
 17.98 
 
 0.86 
 
 17.98 
 
 0.94 
 
 18 
 
 '9 
 
 18.99 
 
 0.58 
 
 18.99 
 
 0.66 
 
 18.99 
 
 0.75 
 
 18.98 
 
 0.83 
 
 18.98 
 
 0.91 
 
 18.98 
 
 0.99 
 
 19 
 
 20 
 
 19.99 
 
 0.61 
 
 19.99 
 
 0.70 
 
 19.98 
 
 0.79 
 
 19.98 
 
 0.87 
 
 19.98 
 
 0.96 
 
 19.97 
 
 i.o5 
 
 20 
 
 21 
 
 20.99 °-^4 
 
 20.99 
 
 0.73 
 
 20.98 
 
 0.82 
 
 20.98 
 
 0.92 
 
 20.98 
 
 1.01 
 
 20.97 
 
 1.10 
 
 21 
 
 22 
 
 21.99 
 
 0.67 
 
 21.99 
 
 0.77 
 
 21.98 
 
 0.86 
 
 21.98 
 
 0.96 
 
 21.97 
 
 1.06 
 
 21.97 
 
 i.i5 
 
 22 
 
 23 
 
 22.99 
 
 0.70 
 
 22.99 
 
 0.80 
 
 22.98 
 
 0.90 
 
 22.98 
 
 1. 00 
 
 22.97 
 
 1.10 
 
 22.97 
 
 1 .20 
 
 23 
 
 24 
 
 23.99 
 
 0.73 
 
 23.99 
 
 0.84 
 
 23.98 
 
 0.94 
 
 23.98 
 
 i.o5 
 
 23.97 
 
 i.i5 
 
 23.97 
 
 1.26 
 
 24 
 
 25 
 
 24.99 
 
 0.76 
 
 24.98 
 
 0.87 
 
 24.98 
 
 0.98 
 
 24.98 
 
 1.09 
 
 24.97 
 
 1.20 
 
 24.97 
 
 i.3i 
 
 25 
 
 26 
 
 25.99 
 
 0.79 
 
 25.98 
 
 0.91 
 
 25.98 
 
 1 .02 
 
 25.98 
 
 i.i3 
 
 25.97 
 
 1.25 
 
 25.96 
 
 1.36 
 
 26 
 
 27 
 
 26.99 
 
 0.83 
 
 26.98 
 
 0.94 
 
 26.98 
 
 1.06 
 
 26.97 
 
 1. 18 
 
 26.97 
 
 1 .3o 
 
 26.96 
 
 i.4i 
 
 27 
 
 28 
 
 27.99 
 
 0.86 
 
 27.98 
 
 0.98 
 
 27.98 
 
 1. 10 
 
 27.97 
 
 1.22 
 
 27.97 
 
 1.34 
 
 27.96 
 
 1.47 
 
 28 
 
 29 
 
 28.99 
 
 0.89 
 
 28.98 
 
 1. 01 
 
 28.98 
 
 i.i4 
 
 28.97 
 
 1.26 
 
 28.97 
 
 1.39 
 
 28.96 
 
 1.52 
 
 29 
 
 3o 
 
 29.99 
 
 0.92 
 
 29.98 
 
 i.o5 
 
 29.98 
 
 1. 18 
 
 29.97 
 
 i.3i 
 
 29.97 
 
 1.44 
 
 29.96 
 
 1.57 
 
 3o 
 
 3i 
 
 30.99 
 
 0.95 
 
 30.98 
 
 1.08 
 
 30.98 
 
 1.22 
 
 30.97 
 
 1.35 
 
 30.96 
 
 1.49 
 
 30.96 
 
 1.62 
 
 3i 
 
 32 
 
 31.99 
 
 0.98 
 
 31.98 
 
 1. 12 
 
 31.98 
 
 1.26 
 
 31.97 
 
 i.4o 
 
 31.96 
 
 1.54 
 
 31.96 
 
 1.67 
 
 32 
 
 33 
 
 32.98 
 
 1. 01 
 
 32.98 
 
 i.i5 
 
 32.97 
 
 i.3o 
 
 32.97 
 
 1.44 
 
 32.96 
 
 1.58 
 
 32.95 
 
 1.73 
 
 33 
 
 34 
 
 33.98 
 
 i.o4 
 
 33.98 
 
 1. 19 
 
 33.97 
 
 1.33 
 
 33.97 
 
 1.48 
 
 33.96 
 
 1.63 
 
 33.95 
 
 1.78 
 
 34 
 
 35 
 
 34.98 
 
 1.07 
 
 34.98 
 
 1.22 
 
 34.97 
 
 1.37 
 
 34.97 
 
 1.53 
 
 34.96 
 
 1.68 
 
 34.95 
 
 1.83 
 
 35 
 
 36 
 
 35.98 
 
 l.IO 
 
 35.98 
 
 1.26 
 
 35.97 
 
 i.4i 
 
 35.97 
 
 1.57 
 
 35.96 
 
 ..73 
 
 35.95 
 
 1.88 
 
 36 
 
 37 
 
 36.98 
 
 i.i3 
 
 36.98 
 
 1.29 
 
 36.97 
 
 1.45 
 
 36.96 
 
 1.61 
 
 36.96 
 
 1.78 
 
 36.95 
 
 1.94 
 
 37 
 
 38 
 
 37.98 
 
 1. 16 
 
 37.98 
 
 1.33 
 
 37.97 
 
 1.49 
 
 37.96 
 
 1.66 
 
 37.96 
 
 1.82 
 
 37.95 
 
 1.99 
 
 38 
 
 39 
 
 38.98 
 
 1. 19 
 
 38.98 
 
 1.36 
 
 38.97 
 
 1.53 
 
 38.96 
 
 1.70 
 
 38.96 
 
 1.87 
 
 38.95 
 
 2.o4 
 
 39 
 
 4o 
 
 39.98 
 
 1.22 
 
 39.98 
 
 i.4o 
 
 39.97 
 
 1.57 
 
 39.96 
 
 1.75 
 
 39.95 
 
 1.92 
 
 39.95 
 
 2.09 
 
 4o 
 
 4i 
 
 40.98 
 
 1.25 
 
 40.98 
 
 1.43 
 
 40.97 
 
 1.61 
 
 40.96 
 
 1.77 
 
 40.95 
 
 1.97 
 
 40.94 
 
 2.l5 
 
 4i 
 
 42 
 
 41.98 
 
 1.28 
 
 41.97 
 
 1.47 
 
 41.97 
 
 1.65 
 
 41.96 
 
 1.83 
 
 41.95 
 
 2.02 
 
 41.94 
 
 2.20 
 
 42 
 
 43 
 
 42.98 
 
 i.3i 
 
 42.97 
 
 i.5o 
 
 42.97 
 
 1.69 
 
 42.96 
 
 1.88 
 
 42.95 
 
 2.06 
 
 42.94 
 
 2,25 
 
 43 
 
 44 
 
 43.98 
 
 1.34 
 
 43.97 
 
 1.54 
 
 43.97 
 
 1.73 
 
 43.96 
 
 1.92 
 
 43.95 
 
 2.1 1 
 
 43.94 
 
 2.3o 
 
 44 
 
 45 
 
 44.98 
 
 1.37 
 
 44.97 
 
 ..57 
 
 44.97 
 
 1.77 
 
 44.96 
 
 1.96 
 
 44.95 
 
 2.16 
 
 44.94 
 
 2.36 
 
 45 
 
 46 
 
 45.98 
 
 i.4o 
 
 45.97 
 
 1.61 
 
 45.96 
 
 1.81 
 
 45.96 
 
 2.01 
 
 45.95 
 
 2.21 
 
 45.94 
 
 2.4l 
 
 46 
 
 47 
 
 46.98 
 
 1.44 
 
 46.97 
 
 1.64 
 
 46.96 
 
 1.85 
 
 46.96 
 
 2.o5 
 
 46.95 
 
 2.25 
 
 46.94 
 
 2.46 
 
 47 
 
 48 
 
 47.98 
 
 1.47 
 
 47.97 
 
 1.68 
 
 47.96 
 
 1.88 
 
 47.95 
 
 2.09 
 
 47.95 
 
 2.3o 
 
 47.93 
 
 2.5l 
 
 48 
 
 49 
 
 48.98 
 
 i.5o 
 
 48.97 
 
 1. 71 
 
 48.96 
 
 1.92 
 
 48.95 
 
 2.l4 
 
 48.94 
 
 2.35 
 
 48.93 
 
 2.56 
 
 49 
 
 5o 
 
 § 
 
 CO 
 
 Q 
 
 49.98 
 
 1.53 
 I,at. 
 
 49.97 
 
 1.74 
 
 I,at. 
 
 49.96 
 Pep. 
 
 1.96 
 
 Lat. 
 
 49.95 
 
 Dep. 
 
 2.18 
 
 I.at. 
 
 49.94 
 
 2.4o 
 Lat. 
 
 49.93 
 
 2.62 
 
 5o 
 
 nep. 
 
 Dep. 
 
 Dep. 
 
 Dep. 
 
 Lat. 
 
 ej 
 m 
 
 88% Deg. 
 
 88 Deg. 
 
 87% Deg. 
 
 871^ Deg. 
 
 S1% Deg. 
 
 87 Deg. 
 

 
 
 
 T R A V 
 
 ERSE TaBL] 
 
 E. 
 
 
 
 
 139 
 
 o 
 
 to' 
 
 D 
 n 
 o 
 
 1% Deg. 
 
 2 Deg. 
 
 2M Deg. 
 
 2K Deg. 
 
 2% Deg. 
 
 1 
 3 Deg. 
 
 5 
 
 55' 
 
 s 
 
 a 
 
 5i 
 
 Lat. 
 
 Dep. 
 1.56 
 
 Lat. 
 
 Dep. 
 1.78 
 
 Lat. 
 
 Dep 
 2.00 
 
 Lat. 
 
 Dep. 
 2.22 
 
 Lat. 
 
 Dep. 
 
 2.45 
 
 Lat. 
 
 Dep. 
 2.67 
 
 5i 
 
 50.98 
 
 50.97 
 
 50.96 
 
 50.95 
 
 50.94 
 
 50.93 
 
 52 
 
 51.98 
 
 1.59 
 
 51.97 
 
 I.81 
 
 51.96 
 
 2.o4 
 
 51.95 
 
 2.27 
 
 51.94 
 
 2.5o 
 
 51.93 
 
 2.72 
 
 52 
 
 53 
 
 52.98 
 
 1.62 
 
 52.97 
 
 1.85 
 
 52.96 
 
 2.08 
 
 52.95 
 
 2.3l 
 
 52.94 
 
 2.54 
 
 52.93 
 
 2.77 
 
 53 
 
 54 
 
 53.97 
 
 1.65 
 
 53.97 
 
 1.88 
 
 53.96 
 
 2.12 
 
 53.95 
 
 2.36 
 
 53.94 
 
 2.59 
 
 53.93 
 
 2.83 
 
 54 
 
 55 
 
 54.97 
 
 1.68 
 
 54.97 
 
 1.92 
 
 54.96 
 
 2.16 
 
 54.95 
 
 2.40 
 
 54.94 
 
 2.64 
 
 54.92 
 
 2.88 
 
 55 
 
 56 
 
 55.97 
 
 1. 71 
 
 55.97 
 
 1.95 
 
 55.96 
 
 2.20 
 
 55.95 
 
 2.44 
 
 55.94 
 
 2.69 
 
 55.92 
 
 2.93 
 
 56 
 
 5? 
 
 56.97 
 
 1.74 
 
 56.97 
 
 1.99 
 
 56.96 
 
 2.24 
 
 56.95 
 
 2.49 
 
 56.93 
 
 2.73 
 
 56.92 
 
 2.98 
 
 57 
 
 58 
 
 57-97 
 
 1.77 
 
 57.96 
 
 2.02 
 
 57.96 
 
 2.28 
 
 57.94 
 
 2.53 
 
 57.93 
 
 2.78 
 
 57.92 
 
 3.04 
 
 58 
 
 59 
 
 58.97 
 
 1.80 
 
 58.96 
 
 2.06 
 
 58.95 
 
 2.32 
 
 58.94 
 
 2.57 
 
 58.93 
 
 2.83 
 
 58.92 
 
 3.09 
 
 5y 
 
 6o 
 
 D9.97 
 
 1.83 
 
 59.96 
 
 2.09 
 
 59.95 
 
 2.36 
 
 59.94 
 
 2.62 
 
 59.93 
 
 2.88 
 
 59.92 
 
 3.i4 
 
 60 
 
 6i 
 
 60.97 
 
 1.86 
 
 60.96 
 
 2.l3 
 
 60.95 
 
 2.39 
 
 60.94 
 
 2.66 
 
 60.93 
 
 2.93 
 
 60.92 
 
 3.19 
 
 61 
 
 62 
 
 61.97 
 
 1.89 
 
 61.96 
 
 2.16 
 
 61.95 
 
 2.43 
 
 61.94 
 
 2.70 
 
 61.93 
 
 2.97 
 
 61.92 
 
 3.24 
 
 62 
 
 63 
 
 62.97 
 
 1.92 
 
 62.96 
 
 2.20 
 
 62.95 
 
 2.47 
 
 62.94 
 
 2.75 
 
 62.93 
 
 3.02 
 
 62.91 
 
 3.3o 
 
 63 
 
 64 
 
 63.97 
 
 1.95 
 
 63.96 
 
 2.23 
 
 63.95 
 
 2.5l 
 
 63.94 
 
 2.79 
 
 63.93 
 
 3.07 
 
 63.91 
 
 3.35 
 
 64 
 
 65 
 
 64.97 
 
 1.99 
 
 64.96 
 
 2.27 
 
 64.95 
 
 2.55 
 
 64.94 
 
 2.84 
 
 64.93 
 
 3.12 
 
 64.91 
 
 3.4o 
 
 65 
 
 66 
 
 65.97 
 
 2.02 
 
 65.96 
 
 2.3o 
 
 65.95 
 
 2.59 
 
 65.94 
 
 2.88 
 
 65.92 
 
 3.17 
 
 65.91 
 
 3.45 
 
 66 
 
 67 
 
 66.97 
 
 2.o5 
 
 66.96 
 
 2.34 
 
 66.95 
 
 2.63 
 
 66.94 
 
 2.92 
 
 66.92 
 
 3.21 
 
 66.91 
 
 3.5i 
 
 67 
 
 68 
 
 67.97 
 
 2.08 
 
 67.96 
 
 2.37 
 
 67.95 
 
 2.67 
 
 67.94 
 
 2.97 
 
 67.92 
 
 3.26 
 
 67.91 
 
 3.56 
 
 68 
 
 69 
 
 68.97 
 
 2. II 
 
 68.96 
 
 2.4l 
 
 68.95 
 
 2.71 
 
 68.93 
 
 3.01 
 
 68.92 
 
 3.3i 
 
 68.91 
 
 3.61 
 
 69 
 
 70 
 
 69.97 
 
 2.14 
 
 69.96 
 
 2.44 
 
 69.95 
 
 2.75 
 
 69.93 
 
 3.o5 
 
 69.92 
 
 3.36 
 
 69.90 
 
 3.66 
 
 70 
 
 71 
 
 70.97 
 
 2.17: 
 
 70.96 
 
 2.48 
 
 70.95 
 
 2.79 
 
 70.93 
 
 3.10 
 
 70.92 
 
 3.4i 
 
 70.90 
 
 3.72 
 
 71 
 
 72 
 
 71.97 
 
 2.20 
 
 71.96 
 
 2.5l 
 
 71.94 
 
 2.83 
 
 71.93 
 
 3.i4 
 
 71.92 
 
 3.45 
 
 71.90 
 
 3.77 
 
 72 
 
 73 
 
 72.97 
 
 2.23 
 
 72.96 
 
 2.55 
 
 72.94 
 
 2.87 
 
 72.93 
 
 3.18 
 
 72.92 
 
 3.5o 
 
 72.90 
 
 3.82 
 
 73 
 
 74 
 
 73.97 
 
 2.26 
 
 73.95 
 
 2.58 
 
 73.94 
 
 2.91 
 
 73.93 
 
 3.23 
 
 73.91 
 
 3.55 
 
 73.90 
 
 3.87 
 
 74 
 
 75 
 
 74.97 
 
 2.29 
 
 74.95 
 
 2.62 
 
 74.94 
 
 2.94 
 
 74.93 
 
 3.27 
 
 74.91 
 
 3.60 
 
 74.90 
 
 3.93 
 
 75 
 
 76 
 
 75.96 
 
 2.32 
 
 75.95 
 
 2.65 
 
 75.94 
 
 2.98 
 
 75.93 
 
 3.3i 
 
 75.91 
 
 3.65 
 
 75.90 
 
 3.98 
 
 76 
 
 77 
 
 76.96 
 
 2.35 
 
 76.95 
 
 2.69 
 
 76.94 
 
 3.02 
 
 76.93 
 
 3.36 
 
 76.91 
 
 3.70 
 
 76.89 
 
 4.o3 
 
 77 
 
 78 
 
 77.96 
 
 2.38 
 
 77.95 
 
 2.72 
 
 77-94 
 
 3.06 
 
 77.93 
 
 3.4o 
 
 77.91 
 
 3.74 
 
 77.89 
 
 4.08 
 
 78 
 
 , 79 
 
 78.96 
 
 2.4 1 
 
 78.95 
 
 2.76 
 
 78.94 
 
 3.10 
 
 78.92 
 
 3.45 
 
 78.91 
 
 3.79 
 
 78.89 
 
 4.i3 
 
 79 
 
 80 
 
 79.96 
 
 2.44 
 
 79.95 
 
 2.79 
 
 79-94 
 
 3.i4 
 
 79.92 
 
 3.49 
 
 79.91 
 
 3.84 
 
 79.89 
 
 4.19 
 
 80 
 
 81 
 
 80.96 
 
 2.4? 
 
 80.95 
 
 2.83 
 
 80.94 
 
 3.18 
 
 80.92 
 
 3.53 
 
 80.91 
 
 3.89 
 
 80.89 
 
 4.24 
 
 81 
 
 82 
 
 81.96 
 
 2.5o 
 
 81.95 
 
 2.86 
 
 81.94 
 
 3.22 
 
 81.92 
 
 3.58 
 
 81.91 
 
 3.93 
 
 81.89 
 
 4.29 
 
 82 
 
 83 
 
 82.96 
 
 2.53 
 
 82.95 
 
 2.90 
 
 82.94 
 
 3.26 
 
 82.92 
 
 3.62 
 
 82.90 
 
 3.98 
 
 82.89 
 
 4.34 
 
 83 
 
 84 
 
 83.96 
 
 2.57 
 
 83.95 
 
 2.93 
 
 83.94 
 
 3.3o 
 
 83.92 
 
 3.66 
 
 83.90 
 
 4.o3 
 
 83.88 
 
 4.4o 
 
 84 
 
 85 
 
 84.96 
 
 2.60 
 
 84.95 
 
 2.97 
 
 84.93 
 
 3.34 
 
 84.92 
 
 3.71 
 
 84.90 
 
 4.08 
 
 84.88 
 
 4.45 
 
 85 
 
 86 
 
 85.96 
 
 2.63 
 
 85.95 
 
 3.00 
 
 85.93 
 
 3.38 
 
 85.92 
 
 3.75 
 
 85.90 
 
 4.i3 
 
 85.88 
 
 4.5o 
 
 86 
 
 87 
 
 86.96 
 
 2.66 
 
 86.95 
 
 3.o4 
 
 86.93 
 
 3.42 
 
 86.92 
 
 3.79 
 
 86.90 
 
 4.17 
 
 86.88 
 
 4.55 
 
 87 
 
 88 
 
 87.96 
 
 2.69 
 
 87.95 
 
 3.07 
 
 87.93 
 
 3.45 
 
 87.92 
 
 3.84 
 
 87.90 
 
 4.22 
 
 87.88 
 
 46i 
 
 88 
 
 89 
 
 88.96 
 
 2.72 
 
 88.95 
 
 3. II 
 
 88.93 
 
 3.49 
 
 88.92 
 
 3.88 
 
 88.90 
 
 4.27 
 
 88.88 
 
 4.66 
 
 89 
 
 90 
 
 89.96 
 
 2.75 
 
 1 
 
 89.95 
 
 3.i4 
 
 89.93 
 
 3.53 
 
 89.91 
 
 3.93 
 
 89.90 
 
 4.32 
 
 89.88 
 
 4.71 
 
 90 
 
 91 
 
 90.96 
 
 2.78 
 
 90.95 
 
 3.18 
 
 90.93 
 
 3.57 
 
 90.91 
 
 3-97 
 
 90.90 
 
 4.37 
 
 90.88 
 
 4.76 
 
 9' 
 
 92 
 
 91.96 
 
 2.81 
 
 91.94 
 
 3.21 
 
 91.93 
 
 3.61 
 
 91.91 
 
 4.01 
 
 91.89 
 
 4.4i 
 
 91.87 
 
 4.81 
 
 92 
 
 93 
 
 92.96 
 
 2.84 
 
 92.94 
 
 3.25 
 
 92.93 
 
 3.65 
 
 92.91 
 
 4.06 
 
 92.89 
 
 4-46 
 
 92.87 
 
 4.87 
 
 93 
 
 94 
 
 93.96 
 
 2.87 
 
 93.94 
 
 3.28 
 
 93.93 
 
 3.69 
 
 93.91 
 
 4.10 
 
 93.89 
 
 4.5i 
 
 93.87 
 
 4.92 
 
 94 
 
 95 
 
 94.96 
 
 2.90 
 
 94.94 
 
 3.32 
 
 94.93 
 
 3.73 
 
 94.91 
 
 4.i4 
 
 94.89 
 
 4.56 
 
 94.87 
 
 4.97 
 
 95 
 
 96 
 
 95.96 
 
 2.94 
 
 95.94 
 
 3.35 
 
 95.93 
 
 3.77 
 
 95.91 
 
 4.19 
 
 95.89 
 
 4.61 
 
 95.87 
 
 5.02 
 
 96 
 
 97 
 
 96.95 
 
 2.96 
 
 96.94 
 
 3.39 
 
 96.93 
 
 3.81 
 
 96.91 
 
 4.23 
 
 96.89 
 
 4.65 
 
 96.87 
 
 5.08 
 
 97 
 
 98 
 
 97.95 
 
 2.99 
 
 97.94 
 
 3.42 
 
 97.92 
 
 3.85 
 
 97.91 
 
 4.27 
 
 97.89 
 
 4.70 
 
 97-87 
 
 5.i3 
 
 98 
 
 99 
 
 98.95 
 
 3.02 
 
 98.94 
 
 3.46 
 
 98.92 
 
 3.89 
 
 98.91 
 
 4.32 
 
 98.89 
 
 4.75 
 
 98.86 
 
 5.18 
 
 99 
 
 100 
 
 § 
 
 a 
 a 
 
 w 
 
 5 
 
 99.95 
 Dep. 
 
 3.o5 
 Lat. 
 
 99.94 
 
 3.49 
 Lat. 
 
 99.92 
 
 3.93 
 Lat. 
 
 99.90 
 
 4.36 
 Lat. 
 
 ! 99.88 
 
 ! Dep. 
 
 4.80 
 ijit. 
 
 99.86 
 
 5.23 
 Lat 
 
 100 
 
 ci 
 
 
 a 
 3 
 
 00 
 
 c 
 
 Dep. 
 
 Dep. 
 
 Dep. 
 
 Dep. 
 
 88% 
 
 Deg. 
 
 88 Deg. 
 
 87% Deg. 
 
 S7H 1 
 
 Deg. 
 
 8734 Deg. 
 
 87 Deg. 
 
uo 
 
 
 
 
 Trav 
 
 ERSE Table. 
 
 
 
 
 
 ■ S 
 
 n 
 
 a 
 
 I 
 
 3)^ Deg. 
 
 3% Deg. 
 
 3% Deg. 
 
 4 Deg. 
 
 4% Deg. 
 
 4M Deg. 
 
 c 
 
 ■Jj' 
 
 a 
 
 
 0) 
 
 I,at. 
 1. 00 
 
 Dep. 
 0.06 
 
 l.at. 
 
 Dep. 
 
 I-at. 
 1. 00 
 
 Dep. 
 
 0.06 
 
 Lat. 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1. 00 
 
 0.06 
 
 1. 00 
 
 0.07 
 
 1.00 
 
 0.07 
 
 1. 00 
 
 0.08 
 
 1 
 
 2 
 
 2.00 
 
 O.II 
 
 2.00 
 
 0.12 
 
 2.00 
 
 o.i3 
 
 2.00 
 
 o.i4 
 
 1.99 
 
 o.i5 
 
 1.99 
 
 0.16 
 
 2 
 
 3 
 
 3.00 
 
 0.17 
 
 2.99 
 
 0.18 
 
 2.99 
 
 0.20 
 
 2.99 
 
 0.21 
 
 2.99 
 
 0.22 
 
 2.99 
 
 0.24 
 
 3 
 
 4 
 
 3.99 
 4.99 
 
 0.23 
 
 3.99 
 
 0.24 
 
 3.99 
 
 0.26 
 
 3.99 
 
 0.28 
 
 3.99 
 
 'o.3o 
 
 3.99 
 
 o.3i 
 
 4 
 
 5 
 
 0.28 
 
 4.99 
 
 o.3i 
 
 4.99 
 
 0.33 
 
 4.99 
 
 0.35 
 
 4.99 
 
 0.3/ 
 
 4.98 
 
 0.39 
 
 5 
 
 6 
 
 5.00 
 
 0.34 
 
 5.99 
 
 0.37 
 
 5.99 
 
 0.39 
 
 5.99 
 
 0.42 
 
 5.98 
 
 0.44 
 
 5.98 
 
 0.47 
 
 6 
 
 7 
 
 6.99 
 
 o.4o 
 
 6.99 
 
 0.43 
 
 6.99 
 
 0.46 
 
 6.98 
 
 0.49 
 
 6.98 
 
 0.52 
 
 6.98 
 
 0.55 
 
 7 
 
 8 
 
 7-99 
 
 0.45 
 
 7.99 
 
 0.49 
 
 7.98 
 
 0.52 
 
 7.98 
 
 0.56 
 
 7.98 
 
 0.59 
 
 7.98 
 
 0.63 
 
 8 
 
 9 
 
 / / / 
 
 8.99 
 
 o.5i 
 
 8.98 
 
 0.55 
 
 8.98 
 
 0.59 
 
 8.98 
 
 0.63 
 
 8.98 
 
 0.67 
 
 8.97 
 
 0.71 
 
 9 
 
 7 
 
 lO 
 
 9.98 
 
 0.57 
 
 9.98 
 
 0.61 
 
 9.98 
 
 0.65 
 
 9.98 
 
 0.70 
 
 9.97 
 
 0.74 
 
 9.97 
 
 0.78 
 
 10 
 
 II 
 
 10.98 
 
 0.62 
 
 10.98 
 
 0.67 
 
 10.98 
 
 0.72 
 
 10.97 
 
 0.77 
 
 10.97 
 
 0.82 
 
 10.97 
 
 0.86 
 
 1 1 
 
 12 
 
 1 1 .98 
 
 0.68 
 
 11.98 
 
 0.73 
 
 11.97 
 
 0.78 
 
 11.97 
 
 0.84 
 
 11.97 
 
 0.89 
 
 11.96 
 
 0.94 
 
 12 
 
 i3 
 
 12.98 
 
 0.73 
 
 12.98 
 
 0.79 
 
 12.97 
 
 0.85 
 
 12.97 
 
 0.91 
 
 12.96 
 
 0.96 
 
 12.96 
 
 1.02 
 
 i3 
 
 i4 
 
 13.98 
 
 0.79 
 
 13.97 
 
 0.85 
 
 13.97 
 
 0.92 
 
 13.97 
 
 0.98 
 
 13.96 
 
 i.o4 
 
 13.96 
 
 1. 10 
 
 i4 
 
 i5 
 
 14.9^ 
 
 0.85 
 
 14.97 
 
 0.92 
 
 14.97 
 
 0.98 
 
 14.96 
 
 i.o5 
 
 14.96 
 
 I.I I 
 
 14.95 
 
 1. 18 
 
 i5 
 
 i6 
 
 15.97 
 
 0.91 
 
 15.97 
 
 0.98 
 
 15.97 
 
 i.o5 
 
 15.96 
 
 1. 12 
 
 15.96 
 
 1. 19 
 
 15.95 
 
 1.26 
 
 16 
 
 n 
 
 16.97 
 
 0.96 
 
 16.97 
 
 i.o4 
 
 16.96 
 
 1. 1 1 
 
 16.96 
 
 1. 19 
 
 16.95 
 
 1.26 
 
 16.95 
 
 1.33 
 
 17 
 
 i8 
 
 17.97 
 
 1.02 
 
 17.97 
 
 1. 10 
 
 17.96 
 
 1.18 
 
 17.96 
 
 1.26 
 
 17.95 
 
 1.33 
 
 17.94 
 
 i.4i 
 
 18 
 
 '9 
 
 18.97 
 
 1.08 
 
 18.96 
 
 1.16 
 
 18.96 
 
 1.24 
 
 18.95 
 
 1.33 
 
 18.95 
 
 i.4o 
 
 18.94 
 
 1.49 
 
 19 
 
 20 
 
 19.97 
 
 i.i3 
 
 19.96 
 
 1.22 
 
 19.96 
 
 i.3i 
 
 19.95 
 
 i.4o 
 
 19.95 
 
 1.48 
 
 19.94 
 
 1.57 
 
 20 
 
 21 
 
 20.97 
 
 1. 19 
 
 20.96 
 
 1.28 
 
 20.96 
 
 1.37 
 
 20.95 
 
 1.46 
 
 20.94 
 
 1.56 
 
 20.94 
 
 1.65 
 
 21 
 
 22 
 
 21.96 
 
 1.25 
 
 21.96 
 
 1.34 
 
 21.95 
 
 1.44 
 
 21.95 
 
 1.53 
 
 21.94 
 
 1.63 
 
 21.93 
 
 1.73 
 
 22 
 
 23 
 
 22.96 
 
 i.3o 
 
 22.96 
 
 i.4o 
 
 22.95 
 
 i.5o 
 
 22.94 
 
 1.60 
 
 22.94 
 
 1.70 
 
 22.93 
 
 1.80 
 
 23 
 
 24 
 
 23.96 
 
 1.36 
 
 23.96 
 
 1.47 
 
 23.95 
 
 1.57 
 
 23.94 
 
 1.67 
 
 23.93 
 
 1.78 
 
 23.93 
 
 1.88 
 
 24 
 
 25 
 
 24.96 
 
 1.42 
 
 24.95 
 
 1.53 
 
 24.95 
 
 1.64 
 
 24.94 
 
 1.74 
 
 24.93 
 
 1.85 
 
 24.92 
 
 1.96 
 
 25 
 
 26 
 
 25.96 
 
 1.47 
 
 25. q5 
 
 1.59 
 
 25.94 
 
 1.70 
 
 25.94 
 
 1.81 
 
 25.93 
 
 1.93 
 
 25.92 
 
 2.o4 
 
 26 
 
 27 
 
 26.96 
 
 1.53 
 
 26.95 
 
 1.65 
 
 26.94 
 
 1.77 
 
 26.93 
 
 1.88 
 
 26.93 
 
 2.00 
 
 26.92 
 
 2.12 
 
 27 
 
 28 
 
 27.95 
 
 1.59 
 
 27.95 
 
 1.71 
 
 27.94 
 
 1.83 
 
 27.93 
 
 1.95 
 
 27.92 
 
 2.08 
 
 27.91 
 
 2.20 
 
 28 
 
 29 
 
 28.95 
 
 1.64 
 
 28.95 
 
 1.77 
 
 28.94 
 
 1.90 
 
 28.93 
 
 2.02 
 
 28.92 
 
 2.l5 
 
 28.91 
 
 2.28 
 
 29 
 
 3o 
 
 29.95 
 
 1.70 
 
 29.94 
 
 1.83 
 
 29.94 
 
 1.96 
 
 29.93 
 
 2.09 
 
 29.92 
 
 2.22 
 
 29.91 
 
 2.35 
 
 3o 
 
 3i 
 
 30.95 
 
 1.76 
 
 30.94 
 
 1.89 
 
 30.93 
 
 2.o3 
 
 30.92 
 
 2.16 
 
 30.91 
 
 2.3o 
 
 30.90 
 
 2.43 
 
 3i 
 
 32 
 
 31.95 
 
 1.81 
 
 31.94 
 
 1.95 
 
 31.93 
 
 2.09 
 
 31.92 
 
 2.23 
 
 31.91 
 
 2.37 
 
 31.90 
 
 2.5l 
 
 32 
 
 33 
 
 32.95 
 
 1.87 
 
 32.94 
 
 2.01 
 
 32.93 
 
 2.16 
 
 32.92 
 
 2.3o 
 
 32.91 
 
 2.45 
 
 32.90 
 
 2.59 
 
 33 
 
 34 
 
 33.95 
 
 1.93 
 
 33.94 
 
 2.08 
 
 33.93 
 
 2.22 
 
 33.92 
 
 2.37 
 
 33.91 
 
 2.52 
 
 33.90 
 
 2.67 
 
 34 
 
 35 
 
 34.94 
 
 1.98 
 
 34.93 
 
 2,l4 
 
 34.92 
 
 2.29 
 
 34.91 
 
 2.44 
 
 34.90 
 
 2.59 
 
 34.89 
 
 2.75 
 
 35 
 
 36 
 
 35.94 
 
 2.04 
 
 35.93 
 
 2.20 
 
 35.92 
 
 2.35 
 
 35.91 
 
 2.5l 
 
 35.90 
 
 2.67 
 
 35.89 
 
 2.82 
 
 36 
 
 37 
 
 36.94 
 
 2.10 
 
 36.9.3 
 
 2.26 
 
 36.92 
 
 2.42 
 
 36.91 
 
 2.58 
 
 36.90 
 
 2.74 
 
 36.89 
 
 2.90 
 
 37 
 
 38 
 
 37.94 
 
 2.l5 
 
 37.93 
 
 2.32 
 
 37.92 
 
 2.49 
 
 37.91 
 
 2.65 
 
 37.90 
 
 2.82 
 
 37.88 
 
 2.98 
 
 38 
 
 39 
 
 38.94 
 
 2.21 
 
 38.93 
 
 2.38 
 
 38.92 
 
 2.55 
 
 38.90 
 
 2.72 
 
 38.89 
 
 2.89 
 
 38.88 
 
 3.06 
 
 39 
 
 40 
 
 39.94 
 
 2.27 
 
 39.93 
 
 2.44 
 
 39.91 
 
 2.62 
 
 39.90 
 
 2.79 
 
 39.89 
 
 2.96 
 
 39.88 
 
 3.i4 
 
 4o 
 
 4i 
 
 40.93 
 
 2.32 
 
 40.92 
 
 2.5o 
 
 40.91 
 
 2.68 
 
 40.90 
 
 2.86 
 
 40.89 
 
 3.04 
 
 40.87 
 
 3.22 
 
 4i 
 
 42 
 
 41.93 
 
 2.38 
 
 41.92 
 
 2.56 
 
 41.91 
 
 2.75 
 
 41.90 
 
 2.93 
 
 41.88 
 
 3. II 
 
 41.87 
 
 3.3o 
 
 42 
 
 43 
 
 42.93 
 
 2.44 
 
 42.92 
 
 2.63 
 
 42.91 
 
 2.81 
 
 42.90 
 
 3.00 
 
 42.88 
 
 3.19 
 
 42.87 
 
 3.37 
 
 43 
 
 44 
 
 43.93 
 
 2.49 
 
 43.92 
 
 2.69 
 
 43.91 
 
 2.88 
 
 43.89 
 
 3.07 
 
 43.88 
 
 3.26 
 
 43.86 
 
 3.45 
 
 44 
 
 45 
 
 44.93 
 
 2.55 
 
 44.92 
 
 2.75 
 
 44.90 
 
 2.94 
 
 44.89 
 
 3.i4 
 
 44.88 
 
 3.33 
 
 44.86 
 
 3.53 
 
 45 
 
 46 
 
 45.93 
 
 2.61 
 
 4591 
 
 2.81 
 
 45.90 
 
 3.01 
 
 45.89 
 
 3.21 
 
 45.87 
 
 3.4i 
 
 45.86 
 
 3.61 
 
 46 
 
 47 
 
 46.92 
 
 2.66 
 
 46.91 
 
 2.87 
 
 46.90 
 
 3.07 
 
 46.89 
 
 3.28 
 
 46.87 
 
 3.48 
 
 46.86 
 
 3.69 
 
 47 
 
 48 
 
 47.92 
 
 2.72 
 
 47.91 
 
 2.93 
 
 47.90 
 
 3.14 
 
 47.88 
 
 3.35 
 
 47.87 
 
 3.56 
 
 47.85 
 
 3.77 
 
 48 
 
 49 
 
 48.92 
 
 2.78 
 
 48.91 
 
 2.99 
 
 48.90 
 
 3.20 
 
 48.88 
 
 3.42 
 
 48.87 
 
 3.63 
 
 48.85 
 
 3.84 
 
 49 
 
 5o 
 •2 
 
 m 
 
 49.92 
 
 2.83 
 Lat. 
 
 49.91 
 
 3.o5 
 
 49.89 
 Dep. 
 
 3.27 
 1 Lat. 
 
 49.88 
 
 3.49 
 Lat. 
 
 49.86 
 
 Dep. 
 
 3.71 
 Lat. 
 
 49.85 
 
 3.92 
 Lat. 
 
 5o 
 
 a 
 a 
 m 
 
 s 
 
 Dep. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Dep. 
 
 86% Deg. 
 
 861^ Deg. 
 
 86% Deg. 
 
 86 Deg. 
 
 85% Deg. 
 
 851^ Deg. 
 

 
 
 
 T 
 
 EAVER8E Table. 
 
 
 
 
 141 
 
 2 
 1 
 
 5i 
 
 ^Ya Deg. 
 
 3)^ Deg. 
 
 3% Deg. 
 
 4 Deg. 
 
 4K Deg. 
 
 Ay^ Deg. 
 
 
 
 Lat. 
 
 Dep. 
 
 2.89 
 
 Lat. 
 
 Dop. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 5o.88 
 
 Dep. 
 3.56 
 
 Lat. 
 
 Dep. 
 
 3.78 
 
 Lat. 
 
 Dep. 
 
 50.92 
 
 50.90 
 
 3. II 
 
 50.89 
 
 3.34 
 
 5o.86 
 
 5o.84 
 
 4-00 
 
 5i 
 
 52 
 
 51.92 
 
 2.95 
 
 51.90 
 
 3.17 
 
 51.89 
 
 3.4o 
 
 51.87 
 
 3.63 
 
 5i.86 
 
 3.85 
 
 5 1. 84 
 
 4.08 
 
 52 
 
 53 
 
 52.91 
 
 3.00 
 
 52.90 
 
 3.24 
 
 52.89 
 
 3.47 
 
 52.87 
 
 3.70 
 
 52.85 
 
 3.93 
 
 52.84 
 
 4.16 
 
 53 
 
 54 
 
 53.91 
 
 3.06 
 
 53.90 
 
 3.3o 
 
 53.88 
 
 3.53 
 
 53.87 
 
 3.77 
 
 53.85 
 
 4.00 
 
 53.83 
 
 4.24 
 
 54 
 
 55 
 
 54.91 
 
 3.12 
 
 54.90 
 
 3.36 
 
 54.88 3.60 
 
 54.87 
 
 3.84 
 
 54.85 
 
 4.08 
 
 54.83 
 
 4.32 
 
 55 
 
 56 
 
 55.91 
 
 3.17 
 
 55.90 
 
 3.42 
 
 55.88 
 
 3.66 
 
 55.86 
 
 3.91 
 
 55.85 
 
 4.i5 
 
 55.83 
 
 4.39 
 
 56 
 
 5? 
 
 56.91 
 
 3.23 
 
 56.89 
 
 3.48 
 
 56.88 
 
 3.73 
 
 56.86 
 
 3.98 
 
 56.84 
 
 4.22 
 
 56.82 
 
 4.47 
 
 57 
 
 58 
 
 57.91 
 
 3.29 
 
 57.89 
 
 3.54 
 
 57.88 
 
 3.79 
 
 57.86 
 
 4.o5 
 
 57.84 
 
 4.3o 
 
 57.82 
 
 4.55 
 
 58 
 
 59 
 
 58.91 
 
 3.34 
 
 58.89 
 
 3.60 
 
 58.87 
 
 3.86 
 
 58.86 
 
 4.12 
 
 58.84 
 
 4.37 
 
 58.82 
 
 4.63 
 
 59 
 
 60 
 
 59.90 
 
 3.4o 
 
 59.89 
 
 3.66 
 
 59.87 
 
 3.92 
 
 59.85 
 
 4.19 
 
 59.84 
 
 4.45 
 
 59.82 
 
 4.71 
 
 60 
 
 61 
 
 60.90 
 
 3.46 
 
 60.89 
 
 3.72 
 
 60.87 
 
 3.99 
 
 6o.85 
 
 4.26 
 
 60.83 
 
 4.52 
 
 60.81 
 
 4.79 
 
 61 
 
 62 
 
 61.90 
 
 3.5i 
 
 61.88 
 
 3.79 
 
 61.87 
 
 4.o5 
 
 61.85 
 
 4.32 
 
 61.83 
 
 4.59 
 
 61.81 
 
 4.86 
 
 62 
 
 63 
 
 62.90 
 
 3.57 
 
 62.88 i 
 
 3.85 
 
 62.87 
 
 4.12 
 
 62.85 
 
 4.39 
 
 62.83 
 
 4.67 
 
 62.81 
 
 494 
 
 63 
 
 64 
 
 63.90 
 
 3.63 
 
 63.88 
 
 3.91 
 
 63.86 
 
 4.19 
 
 63.84 
 
 4.46 
 
 63.82 
 
 4.74 
 
 63.8o 
 
 5.02 
 
 64 
 
 65 
 
 64.90 
 
 3.69 
 
 64.88 
 
 3.97 
 
 64.86 
 
 4.25 
 
 64.84 
 
 4.53 
 
 64.82 
 
 4.82 
 
 64.80 
 
 5.10 
 
 65 
 
 66 
 
 65.89 
 
 3.74 
 
 65.88 
 
 4.o3 
 
 65.86 
 
 4.32 
 
 65.84 
 
 4.60 
 
 65.82 
 
 4.89 
 
 65.8o 
 
 5.18 
 
 66 
 
 67 
 
 66.89 
 
 3.80 
 
 66.88 
 
 4.09 
 
 66.86 
 
 4.38 
 
 66.84 
 
 4.67 
 
 66.82 
 
 4.97 
 
 66.79 
 
 5.26 
 
 67 
 
 68 
 
 67.89 
 
 3.86 
 
 67.87 
 
 4.i5 
 
 67.85 
 
 4.45 
 
 67.83 
 
 4.74 
 
 67.81 
 
 5.o4 
 
 67.79 
 
 5.34 
 
 68 
 
 69 
 
 68.89 
 
 3.9. 
 
 68.87 
 
 4.21 
 
 68.85 
 
 4.5i 
 
 68.83 
 
 4.81 
 
 68.81 
 
 5. II 
 
 68.79 
 
 5.4i 
 
 69 
 
 70 
 
 69.89 
 
 3.97 
 
 69.87 
 
 4.27 
 
 69.85 
 
 4.58 
 
 69.83 
 
 4.88 
 
 69.81 
 
 5.19 
 
 69.78 
 
 5.49 
 
 70 
 
 71 
 
 70.89 
 
 4.o3 
 
 70.87 
 
 4.33 
 
 70.85 
 
 4.64 
 
 70.83 
 
 4.95 
 
 70.80 
 
 5.26 
 
 70.78 
 
 5.57 
 
 71 
 
 72 
 
 71.88 
 
 4.08 
 
 71.87 
 
 4.4o 
 
 71.85 
 
 4.71 
 
 71.82 
 
 5.02 
 
 71.80 
 
 5.34 
 
 71.78 
 
 5.65 
 
 72 
 
 73 
 
 72.88 
 
 4.i4 
 
 72.86 
 
 4.46 
 
 72.84 
 
 4.77 
 
 72.82 
 
 5.09 
 
 72.80 
 
 5.4i 
 
 72.77 
 
 5.73 
 
 73 
 
 74 
 
 73.88 
 
 4.20 
 
 73.86 
 
 4.52 
 
 73.84 
 
 4.84 
 
 73.82 
 
 5.16 
 
 73.80 
 
 5.48 
 
 73.77 
 
 5.81 
 
 74 
 
 75 
 
 74.88 
 
 4.25 
 
 74.86 
 
 4.58 
 
 74.84 
 
 4.91 
 
 74.82 
 
 5.23 
 
 74.79 
 
 5.56 
 
 74.77 
 
 5.88 
 
 75 
 
 76 
 
 75.88 
 
 4.3i 
 
 75.86 
 
 4.64 
 
 75.84 
 
 4.97 
 
 75.81 
 
 5.3o 
 
 75.79 
 
 5.63 
 
 75.77 
 
 5.96 
 
 76 
 
 77 
 
 76.88 
 
 4.37 
 
 76.86 
 
 4.70 
 
 76.84 
 
 5.o4 
 
 76.81 
 
 5.37 
 
 76.79 
 
 5.71 
 
 75.76 
 
 6.04 
 
 77 
 
 78 
 
 77.87 
 
 4.42 
 
 77.85 
 
 4.76 
 
 77.83 
 
 5.10 
 
 77.81 
 
 5.44 
 
 77-79 
 
 5.78 
 
 77.76 
 
 6.12 
 
 78 
 
 79 
 
 78.87 
 
 4.48 
 
 7885 
 
 4.82 
 
 78.83 
 
 5.17 
 
 78.81 
 
 5.5i 
 
 78.78 
 
 5.85 
 
 78.76 
 
 6.20 
 
 79 
 
 80 
 
 79.87 
 
 4.54 
 
 79.85 
 
 4.88 
 
 79.83 
 
 5.23 
 
 79.81 
 
 5.58 
 
 79.78 
 
 5.93 
 
 79.75 
 
 6.28 
 
 80 
 
 81 
 
 80.87 
 
 4.59 
 
 8o.85 
 
 4.94 
 
 8o.83 
 
 5.3o 
 
 80.80 
 
 5.65 
 
 80.78 
 
 6.00 
 
 80.75 
 
 6.36 
 
 81 
 
 82 
 
 81.87 
 
 4 65 
 
 8i.85 
 
 5.01 
 
 81.82 
 
 5.36 
 
 81.80 
 
 5.72 
 
 81.78 
 
 6.08 
 
 81.75 
 
 6.43 
 
 82 
 
 83 
 
 82.87 
 
 4.71 
 
 82.85 
 
 5.07 
 
 82.82 
 
 5.43 
 
 82.80 
 
 5.79 
 
 82.77 
 
 6.i5 
 
 82.74 
 
 6.5i 
 
 83 
 
 84 
 
 83.86 
 
 4.76 
 
 83.84 
 
 5.i3 
 
 83.82 
 
 5.49 
 
 83.8o 
 
 5.86 
 
 83.77 
 
 6.23 
 
 83.74 
 
 6.59 
 
 84 
 
 85 
 
 84.86 
 
 4.82 
 
 84.84 
 
 5.19 
 
 84.82 
 
 5.56 
 
 84.79 
 
 5.93 
 
 84-77 
 
 6.3o 
 
 84.74 
 
 6.67 
 
 85 
 
 86 
 
 85.86 
 
 4.88 
 
 85.84 
 
 5.25 
 
 85.82 
 
 5.62 
 
 85.79 
 
 6.00 
 
 85.76 
 
 6.37 
 
 85.73 
 
 6.75 
 
 86 
 
 87 
 
 86.86 
 
 4.93 
 
 86.84 
 
 5.3i 
 
 86.81 
 
 5.69 
 
 86.79 
 
 6.07 
 
 86.76 
 
 6.45 
 
 86.73 
 
 6.83 
 
 87 
 
 88 
 
 87.86 
 
 4.99 
 
 87.84 
 
 5.37 
 
 87.81 
 
 5.76 
 
 87.79 
 
 6.i4 
 
 87.76 
 
 6.52 
 
 87.73 
 
 6.90 
 
 88 
 
 89 
 
 88.86 
 
 5.o5 
 
 88.83 
 
 5.43 
 
 88.81 
 
 5.82 
 
 88.78 
 
 6.21 
 
 88.76 
 
 6.60 
 
 88.73 
 
 6.98 
 
 89 
 
 90 
 
 89.86 
 
 5.10 
 
 89.83 
 
 5.49 
 
 89.81 
 
 5.89 
 
 89.78 
 
 6.28 
 
 89.75 
 
 6.67 
 
 89.72 
 
 7.06 
 
 90 
 
 9' 
 
 90.85 
 
 5.16 
 
 90.83 
 
 5.56 
 
 90.81 
 
 5.95 
 
 90.78 
 
 6.35 
 
 90.75 
 
 6.74 
 
 90.72 
 
 7.14 
 
 91 
 
 92 
 
 91.85 
 
 5.22 
 
 91.83 
 
 5.62 
 
 91.80 
 
 6.02 
 
 91.78 
 
 6.42 
 
 91.75 
 
 6.82 
 
 91.72 
 
 7.22 
 
 92 
 
 
 
 93 
 
 92.85 
 
 5.27 
 
 92.83 
 
 5.68 
 
 92.80 
 
 6.08 
 
 92.77 
 
 6.49 
 
 92.74 
 
 6.89 
 
 92.71 
 
 7.30 
 
 93 
 
 94 
 
 93.85 
 
 5.33 
 
 93.82 
 
 5.74 
 
 93.80 
 
 6.i5 
 
 93.77 
 
 6.56 
 
 93.74 
 
 6.97 
 
 93.71 
 
 7.38 
 
 94 
 
 r 
 
 95 
 
 94.85 
 
 5.39 
 
 94.82 
 
 5.80 
 
 94.80 
 
 6.21 
 
 94-77 
 
 6.63 
 
 94.74 
 
 7.04 
 
 94.71 
 
 7.45 
 
 95 
 
 96 
 
 95.85 
 
 5.44 
 
 95.82 
 
 5.86 
 
 95.79 
 
 6.28 
 
 95.77 
 
 6.70 
 
 95.74 
 
 7. 11 
 
 95.70 
 
 7.53 
 
 96 
 
 7 
 
 97 
 
 96.84 
 
 5.5o 
 
 96.82 
 
 5.92 
 
 96.79 
 
 6.34 
 
 96.76 
 
 6.77 
 
 96.73 
 
 7.19 
 
 96.70 
 
 7.61 
 7.69 
 
 97 
 98 
 
 98 
 
 97-84 
 
 5.56 
 
 97.82 
 
 5.98 
 
 97-79 
 
 6.4i 
 
 97.76 
 
 6.84 
 
 97-73 
 
 7.26 
 
 97.70 
 
 7 
 
 99 
 
 98.84 
 
 5.61 
 
 98.82 
 
 6.o4 
 
 98.79 
 
 6.47 
 
 98.76 
 
 6.91 
 
 98.73 
 
 7.34 
 
 98.69 
 
 7-77 
 7.85 
 
 Lat 
 
 99 
 
 100 
 
 d 
 
 a 
 
 i5 
 
 99.84 
 
 5.67 
 
 Lat. 
 
 99.81 
 
 6.10 
 
 99-79 
 
 6.54 
 Lat. 
 
 99.76 
 
 6.98 
 
 99.73 
 
 7.41 
 
 99.69 
 
 100 
 
 § 
 
 a 
 
 
 Dep. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Dep. 1 Lat. 
 
 1 Dep. 
 
 Lat. 
 
 Dep. 
 
 86% Deg. 
 
 86K Deg. 
 
 86K Deg. 
 
 86 Deg. 
 
 85% Deg. 
 
 85K Deg. 
 
142 
 
 
 
 
 Tkavebse T. 
 
 *.BLE. 
 
 
 
 
 
 2 
 5* 
 
 s 
 
 a 
 
 s 
 
 I 
 
 4% Deg. 
 
 5 Deg. 
 
 5% Deg. 
 
 1 
 
 5% Deg. 
 
 5% Deg. 
 
 6 Deg. 
 
 g 
 s 
 
 a 
 
 a 
 
 CD 
 
 I 
 
 IM. 
 
 Uep. 
 
 IM. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 0.09 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 O.IO 
 
 1. 00 
 
 0.08 
 
 1. 00 
 
 0.09 
 
 1 .00 
 
 1. 00 
 
 O.IO 
 
 0.99 
 
 0.10 
 
 0.99 
 
 2 
 
 1.99 
 
 0.17 
 
 1.99 
 
 0.17 
 
 1.99 
 
 0.18 
 
 1.99 
 
 0.19 
 
 1.99 
 
 0.20 
 
 1-99 
 
 0.21 2I 
 
 3 
 
 2.99 
 3.98 
 
 4.98 
 
 0.25 
 
 2.99 
 
 0.26 
 
 2.99 
 
 0.27 
 
 2.99 
 
 0.29 
 
 2.98 
 
 o.3o 
 
 2.98 
 
 o.3i 
 
 3 
 
 4 
 
 0.33 
 
 3.98 
 
 0.35 
 
 3.98 
 
 0.37 
 
 3.98 
 
 0.38 
 
 3.98 
 
 o.4o 
 
 3.98 
 
 o.4i 
 
 4 
 
 5 
 
 o.4i 
 
 4.98 
 
 0.44 
 
 4.98 
 
 0.46 
 
 4.98 
 
 0.48 
 
 4.97 
 
 o.5o 
 
 4.97 
 
 0.52 5 
 
 6 
 
 5.98 
 
 o.5o 
 
 5.98 
 
 0.52 
 
 5.97 
 
 0.55 
 
 5.97 
 
 0.58 
 
 5.97 
 
 0.60 
 
 5.97 
 
 0.63 
 
 6 
 
 7 
 
 6.97 
 7-97 
 
 0.58 
 
 6.97 
 
 0.61 
 
 6.97 
 
 0.64 
 
 6.97 
 
 0.67 
 
 6.96 
 
 0.70 
 
 6.96 
 
 0.73 
 
 7 
 
 8 
 
 0.66 
 
 7-97 
 
 0.70 
 
 7-97 
 
 0.73 
 
 7.96 
 
 0.76 
 
 7.96 
 
 0.80 
 
 7.96 
 
 0.84 
 
 8 
 
 9 
 
 8.97 
 
 0.75 
 
 8.97 
 
 0.78 
 
 8.96 
 
 0.82 
 
 8.96 
 
 0.86 
 
 8.95 
 
 0.90 
 
 8.95 
 
 0.94 
 
 9 
 
 7 
 
 lO 
 
 9-97 
 
 0.83 
 
 9.96 
 
 0.87 
 
 9.96 
 
 0.92 
 
 9.95 
 
 0.96 
 
 9.95 
 
 1.00 
 
 9.95 
 
 i.o5 
 
 lO 
 
 II 
 
 10.96 
 
 0.91 
 
 10.96 
 
 0.96 
 
 10.95 
 
 1. 01 
 
 lo.gS 
 
 i.o5 
 
 10.94 
 
 1. 10 
 
 10.94 
 
 i.i5 
 
 1 1 
 
 12 
 
 11.96 
 
 0.99 
 
 11.95 
 
 i.o5 
 
 11.95 
 
 1. 10 
 
 11.94 
 
 i.i5 
 
 11.94 
 
 1.20 
 
 11.93 
 
 1.25 
 
 12 
 
 i3 
 
 12.96 
 
 1.08 
 
 12.95 
 
 i.i3 
 
 12.95 
 
 1. 19 
 
 12.94 
 
 1.25 
 
 12.93 
 
 i.3o 
 
 12.93 
 
 1.36 
 
 i3 
 
 i4 
 
 13.95 
 
 1. 16 
 
 13.95 
 
 1.22 
 
 13.94 
 
 1.28 
 
 13.94 
 
 1.34 
 
 13.93 
 
 i.4o 
 
 13.92 
 
 1.46 
 
 i4 
 
 i5 
 
 14.95 
 
 1.24 
 
 14.94 
 
 i.3i 
 
 14.94 
 
 1.37 
 
 14.93 
 
 1.44 
 
 14.92 
 
 i.5o 
 
 14.92 
 
 1.57 
 
 i5 
 
 i6 
 
 15.95 
 
 1.32 
 
 15.94 
 
 1.39 
 
 15.93 
 
 1.46 
 
 i5.g3 
 
 1.53 
 
 15.92 
 
 1.60 
 
 15.91 
 
 1.67 
 
 16 
 
 I? 
 
 16.94 
 
 i.4i 
 
 16.94 
 
 1.48 
 
 16.93 
 
 1.56 
 
 16.92 
 
 1.63 
 
 16.91 
 
 1.70 
 
 16.91 
 
 1.78 
 
 17 
 
 i8 
 
 17.94 
 
 1.49 
 
 17.93 
 
 1.57 
 
 17.92 
 
 1.65 
 
 17.92 
 
 1.73 
 
 17.91 
 
 1.80 
 
 17.90 
 
 1.88 
 
 18 
 
 19 
 
 18.93 
 
 1.57 
 
 18.93 
 
 1.66 
 
 18.92 
 
 1.74 
 
 18.91 
 
 1.82 
 
 18.90 
 
 1.90 
 
 18.90 
 
 1-99 
 
 19 
 
 20 
 
 19.93 
 
 1.66 
 
 19.92 
 
 1.74 
 
 19.92 
 
 1.83 
 
 19.91 
 
 1.92 
 
 19.90 
 
 2.00 
 
 19.89 
 
 2.09 
 
 20 
 
 21 
 
 20.93 
 
 1.74 
 
 20.92 
 
 1.83 
 
 20.91 
 
 1. 92 
 
 20.90 
 
 2.01 
 
 20.89 
 
 2.10 
 
 20.88 
 
 2.20 
 
 21 
 
 22 
 
 21.92 
 
 1.82 
 
 21.92 
 
 1.92 
 
 21.91 
 
 2.01 
 
 21.90 
 
 2.1 1 
 
 21.89 
 
 2.20 
 
 21.88 
 
 2.3o 
 
 22 
 
 23 
 
 22.92 
 
 1.90 
 
 22.91 
 
 2.00 
 
 22.90 
 
 2.10 
 
 22.89 
 
 2.20 
 
 22.88 
 
 2.30 
 
 22.87 
 
 2.4o 
 
 23 
 
 24 
 
 23.92 
 
 1.99 
 
 23.91 
 
 2.09 
 
 23.90 
 
 2.20 
 
 23.89 
 
 2.3o 
 
 23.88 
 
 2.4o 
 
 23.87 
 
 2.5l 
 
 24 
 
 25 
 
 24.91 
 
 2.07 
 
 24.90 
 
 2.18 
 
 24.90 
 
 2.29 
 
 24.88 
 
 2.4o 
 
 24.87 
 
 2.5o 
 
 24.86 
 
 2.61 
 
 25 
 
 26 
 
 25.91 
 
 2.l5 
 
 25.90 
 
 2.27 
 
 25.89 
 
 2.38 
 
 25.88 
 
 2.49 
 
 25.87 
 
 2.60 
 
 25.86 
 
 2.72 
 
 26 
 
 27 
 
 26.91 
 
 2.24 
 
 26.90 
 
 2.35 
 
 26.89 
 
 2.47 
 
 26.88 
 
 2.59 
 
 26.86 
 
 2.71 
 
 26.85 
 
 2.82 
 
 27 
 
 28 
 
 27.90 
 
 2.32 
 
 27.89 
 
 2.44 
 
 27.88 
 
 2.56 
 
 27.87 
 
 2.68 
 
 27.86 
 
 2.81 
 
 27.85 
 
 2.93 
 
 28 
 
 29 
 
 28.90 
 
 2.4o 
 
 28.89 
 
 2.53 
 
 28.88 
 
 2.65 
 
 28.87 
 
 2.78 
 
 28.85 
 
 2.91 
 
 28.84 
 
 3.o3 
 
 29 
 
 So 
 
 29.90 
 
 2.48 
 
 29.89 
 
 2.61 
 
 29.87 
 
 2.75 
 
 29.86 
 
 2.88 
 
 29.85 
 
 3.01 
 
 29.84 
 
 3.i4 
 
 3o 
 
 3i 
 
 30.89 
 
 2.67 
 
 30.88 
 
 2.70 
 
 30.87 
 
 2.84 
 
 3o.86 
 
 2.97 
 
 3o.84 
 
 3.11 
 
 30.83 
 
 3.24 
 
 3i 
 
 32 
 
 31.89 
 
 2.65 
 
 31.88 
 
 2.79 
 
 31.87 
 
 2.93 
 
 31.85 
 
 3.07 
 
 31.84 
 
 3.21 
 
 31.82 
 
 3.34 
 
 32 
 
 33 
 
 32.89 
 
 2.73 
 
 32.87 
 
 2.88 
 
 32.86 
 
 3.02 
 
 32.85 
 
 3.16 
 
 32.83 
 
 3.3i 
 
 32.82 
 
 3.45' 33 1 
 
 34 
 
 33.8S 
 
 2.82 
 
 33.87 
 
 2.96 
 
 33.86 
 
 ■3.11 
 
 33.84 
 
 3.26 
 
 33.83 
 
 3.4i 
 
 33.81 
 
 3.55 
 
 34 
 
 35 
 
 34.8S 
 
 2.90 
 
 34.87 
 
 3.o5 
 
 34.85 
 
 3.20 
 
 34.84 
 
 3.35 
 
 34.82 
 
 3.5i 
 
 34.81 
 
 3.66 
 
 35 
 
 36 
 
 35.88 
 
 2.98 
 
 35.86 
 
 3.i4 
 
 35.85 
 
 3.29 ' 
 
 35.83 
 
 3.45 
 
 35.82 
 
 3.61 
 
 35.80 
 
 3.76 
 
 36 
 
 37 
 
 3687 
 
 3.06 
 
 36.86 
 
 3.22 
 
 36.84 
 
 3.39 1 36.83 
 
 3.55 
 
 !36.8i 
 
 3.71 
 
 36. 80 
 
 3.87 
 
 37 
 
 38 
 
 37.87 
 
 3.i5 
 
 37.86 
 
 3.3i 
 
 37.84 
 
 3.48 
 
 37.83 
 
 3.64 137.81 
 
 3.81 
 
 37.79 
 
 3-97 
 
 38 
 
 39 
 
 38.87 
 
 3.23 
 
 38.85 
 
 3.4o 
 
 38.84 
 
 3.57 
 
 38.82 
 
 3.74 
 
 38.8o 
 
 3.91 
 
 38.79 
 
 4.08 
 
 39 
 
 4o 
 
 39.86 
 
 3.3i 
 
 39.85 
 
 3.49 
 
 39.83 
 
 3.66 
 
 39.82 
 
 3.83 
 
 39.80 
 
 4.01 
 
 39.78 
 
 4.18 
 
 4o 
 
 4i 
 
 40.86 
 
 3.4o 
 
 4o.84 
 
 3.57 
 
 4o.83 
 
 3.75 
 
 40.81 
 
 3.93 
 
 40.79 
 
 4. II 
 
 40.78 
 
 4.29 
 
 4i 
 
 42 
 
 41.86 
 
 3.48 
 
 41.84 
 
 3.66 
 
 41.82 
 
 3.84 
 
 41.81 
 
 4.o3 
 
 41.79 
 
 4.21 
 
 41.77 
 
 4.39 
 
 42 
 
 43 
 
 42.85 
 
 3.56 
 
 42.84 
 
 3.75 
 
 42.82 
 
 3.93 
 
 42.80 
 
 4.12 
 
 42.78 
 
 4.3i 
 
 42.76 
 
 4.49 
 
 43 
 
 44 
 
 43.85 
 
 3.64 
 
 43.83 
 
 3.83 
 
 43.82 
 
 4.o3 
 
 43.80 
 
 4.22:143.78 
 
 4.4i 
 
 43.76 
 
 4.60 
 
 44 
 
 45 
 
 44.85 
 
 3.73 
 
 44.83 
 
 3.92 
 
 44.81 
 
 4.12 
 
 1 44.79 
 
 4.3i 
 
 44.77 
 
 4.5i 
 
 44.75 
 
 4.70 
 
 45 
 
 46 
 
 45.84 
 
 3.81 
 
 45.82 
 
 4.01 
 
 45.81 
 
 4.21 
 
 45.79 
 
 4.4i 
 
 45.77 
 
 4.61 
 
 45.75 
 
 4.81 
 
 46 
 
 47 
 
 46.84 
 
 3.89 
 
 46.82 
 
 4.10 
 
 46.80 
 
 4.3o 
 
 46.78 
 
 4.5o 
 
 46.76 
 
 4.71 
 
 46.74 
 
 4.91 
 
 47 
 
 48 
 
 47.84 
 
 3.97 
 
 47.82 
 
 4.18 
 
 47.80 
 
 4.39 
 
 47.78 
 
 4.60 : 47.76 
 
 4.81 
 
 47.74 
 
 5.02 
 
 48 
 
 49 
 
 48.83 
 
 4.06 
 
 48.81 
 
 4.27 
 
 48.79 
 
 4.48 
 
 48.77 
 
 4.7o::48.75 
 
 4.91 
 
 48.73 
 
 5.12 
 
 49 
 
 5o 
 
 ra 
 
 a 
 
 49.83 
 
 4.i4 
 
 Lat 
 
 49.81 
 
 4.36 
 TatT 
 
 49-79 
 
 4.58 
 
 49-77 
 
 4.79 ; 49-75 
 
 5.01 
 
 49-73 
 Dep. 
 
 5.23 
 
 5o 
 
 Dep. 
 
 Dep. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 lAt. Dep. 
 
 Lat. [ 
 
 Lat. 
 
 g 
 
 a 
 a 
 
 a 
 
 8514 Deg. 
 
 85 Deg. 
 
 84% Deg. 
 
 841^ Deg. 
 
 84% Deg. 
 
 84 Deg. 
 

 
 
 
 I 
 
 'r A V 
 
 ERSE Table. 
 
 
 
 
 143 
 
 B 
 o 
 a 
 
 5i 
 
 4% Deg. 
 
 5 Deg. 
 
 1 
 
 5M Deg. 
 
 5K Deg. 
 
 ) 
 
 5% Deg. 
 
 6 Deg. 
 
 5 
 
 D 
 
 8 
 5i 
 
 Lat. 
 
 50.82 
 
 nep. 
 
 4.22 
 
 i^t. 
 
 Dep. 
 
 4.44 
 
 Lat. 1 Dep. 
 
 Lat. 
 
 Dep. 
 
 4.89 
 
 I.At 
 
 Dep. 
 5.11 
 
 l.at. 
 
 Dep. 
 
 5.33 
 
 5o.8i 
 
 50.79 
 
 4.67 
 
 50.77 
 
 5o.74 
 
 50.72 
 
 52 
 
 51.82 
 
 4.3i 
 
 5i.8o 
 
 4.53 
 
 51.78 
 
 4.76 
 
 51.76 
 
 4.98 
 
 51.74 
 
 5.21 
 
 51.72 
 
 5.44 
 
 52 
 
 53 
 
 52.82 
 
 4.39 
 
 52.80 
 
 4.62 
 
 52.78 
 
 4.85 
 
 52.76 
 
 5.08 
 
 52.73 
 
 5.3i 
 
 52.71 
 
 5.54 
 
 53 
 
 54 
 
 53.81 
 
 4.47 
 
 53.79 
 
 4.71 
 
 53.77 
 
 4.94 
 
 53.75 
 
 5.18 
 
 53.73 
 
 5.4r 
 
 53.70 
 
 5.64 
 
 54 
 
 55 
 
 54.81 
 
 4.55 
 
 54.79 
 
 4.79 
 
 54.77 
 
 5.o3 
 
 54.75 
 
 5.27 
 
 54.72 
 
 5.5i 
 
 54.70 
 
 5.75 
 
 55 
 
 56 
 
 55.81 
 
 4.64 
 
 55.79 
 
 4.88 
 
 55.77 
 
 5.12 
 
 55.74 
 
 5.37 
 
 55.72 
 
 5.61 
 
 55.69 
 
 5.85 
 
 56 
 
 5? 
 
 56.80 
 
 4.72 
 
 56.78 
 
 4.97 
 
 56.76 
 
 5.22 
 
 56.74 
 
 5.46 
 
 56.71 
 
 5.7. 
 
 56.69 
 
 5.96 
 
 57 
 
 58 
 
 57.80 
 
 4.80 
 
 57.78 
 
 5.06 
 
 57.76 
 
 5.3 1 
 
 57.73 
 
 5.56 
 
 57.71 
 
 5.81 
 
 57.68 
 
 6.06 
 
 58 
 
 59 
 
 58. 80 
 
 4.89 
 
 58.78 
 
 5.i4 
 
 58.75 
 
 5.4o 
 
 58.73 
 
 5.65 
 
 58.70 
 
 5.9. 
 
 58.68 
 
 6.17 
 
 59 
 
 6o 
 
 59.79 
 
 4.97 
 
 59.77 
 
 5.23 
 
 59.75 
 
 5.49 
 
 59.72 
 
 5.75 
 
 59.70 
 
 6.01 
 
 59.67 
 
 6.27 
 
 60 
 
 6i 
 
 60.79 
 
 5.o5 
 
 60.77 
 
 5.32 
 
 60.74 
 
 5.58 
 
 60.72 
 
 5.85 
 
 60.69 
 
 6.11 
 
 60.67 
 
 6.38 
 
 61 
 
 62 
 
 61.79 
 
 5.i3 
 
 61.76 
 
 5.40 
 
 61.74 
 
 5.67 
 
 61.71 
 
 5.94 
 
 61.69 
 
 6.21 
 
 61.66 
 
 6.48 
 
 62 
 
 63 
 
 62.78 
 
 5.22 
 
 62.76 
 
 5.49 
 
 62.74 
 
 5.76 
 
 62.71 
 
 6.04 
 
 62.68 
 
 6.3i 
 
 62.65 
 
 6.59 
 
 63 
 
 64 
 
 63.78 
 
 5.3o 
 
 63.76 
 
 5.58 
 
 63.73 
 
 5.86 
 
 63.71 
 
 6.i3 
 
 63.68 
 
 6.4i 
 
 63.65 
 
 6.69 
 
 64 
 
 65 
 
 64.78 
 
 5.3S 
 
 64.75 
 
 5.67! 
 
 64.73 
 
 5.95 
 
 64.70 
 
 6.23 
 
 64.67 
 
 6.5i 
 
 64.64 
 
 6.79 
 
 65 
 
 66 
 
 65.77 
 
 5.47 
 
 65.75 
 
 5.75 
 
 65.72 
 
 6.o4 
 
 65.70 
 
 6.33 
 
 65.67 
 
 6.61 
 
 65.64 
 
 6.90 
 
 66 
 
 67 
 
 66.77 
 
 5.55 
 
 66.75 
 
 5.84 
 
 66.72 
 
 6.i3 
 
 66.69 
 
 6.42 
 
 66.66 
 
 6.7. 
 
 66.63 
 
 7.00 
 
 67 
 
 68 
 
 67.77 
 
 5.63 
 
 67.74 
 
 5.93 
 
 67.71 
 
 6.22 
 
 67.69 
 
 6.52 
 
 67.66 
 
 6.81 
 
 67.63 
 
 7.11 
 
 68 
 
 69 
 
 68.76 
 
 5.71 
 
 68.74 
 
 6.01 
 
 68.71 
 
 6.3i 
 
 68.68 
 
 6.61 
 
 68.65 
 
 6.9, 
 
 68.62 
 
 7.21 
 
 69 
 
 70 
 
 69.76 
 
 5.80 69.73 
 
 6.10 
 
 69.71 
 
 6.4i 
 
 69.68 
 
 6.71 
 
 69.65 
 
 7.01 
 
 69.62 
 
 7.32 
 
 70 
 
 71 
 
 70.76 
 
 5.88 70.73 
 
 6.19 
 
 70.70 
 
 6.5o 
 
 70.67 
 
 6.81 
 
 70.64 
 
 7.11 
 
 70.61 
 
 7.42 
 
 71 
 
 72 
 
 71.75 
 
 5.96 
 
 71.73 
 
 6.28 
 
 71.70 
 
 6.59 
 
 71.67 
 
 6.90 
 
 71.64 
 
 7.21 
 
 71.61 
 
 7.53 
 
 72 
 
 73 
 
 72.75 
 
 6.o4 
 
 72.72 
 
 6.36 
 
 72.69 
 
 6.68 
 
 72.66 
 
 7.00 
 
 72.63 
 
 7.3, 
 
 72.60 
 
 7.63 
 
 73 
 
 74 
 
 73.75 
 
 6.i3 
 
 73.72 
 
 6.45 
 
 73.69 
 
 6.77 
 
 73.66 
 
 7.09 
 
 73.63 
 
 7.4. 
 
 73.59 
 
 7.74 
 
 74 
 
 75 
 
 74.74 
 
 6.21 ^ 
 
 74.71 
 
 6.54 
 
 74.69 
 
 6.86 
 
 74.65 
 
 7.19 
 
 74.62 
 
 7.5i 
 
 74.59 
 
 7.84 
 
 75 
 
 76 
 
 75.74 
 
 6.29 
 
 75.71 
 
 6.62 
 
 75.68 
 
 6.95 
 
 75.65 
 
 7.28 
 
 75.62 
 
 7.61 
 
 75.58 
 
 7.94 
 
 76 
 
 77 
 
 76.74 
 
 6.38 
 
 76.71 
 
 6.71 
 
 76.68 
 
 7.o5 
 
 76.65 
 
 7.38 
 
 76.61 
 
 7-71 
 
 76.58 
 
 8.o5 
 
 77 
 
 78 
 
 77-73 
 
 6.46 
 
 77.70 
 
 6.80 
 
 77.67 
 
 7.14 
 
 77.64 
 
 7-48 
 
 77.61 
 
 7.8. 
 
 77.57 
 
 8.i5 
 
 78 
 
 79 
 
 78.73 
 
 6.54 
 
 78.70 
 
 6.89 
 
 78.67 
 
 7.23 
 
 78.64 
 
 7-57 
 
 78.60 
 
 7.91 
 
 78.57 
 
 8.26 
 
 79 
 
 80 
 
 79.73 
 
 6.62 
 
 79.70 
 
 6.97 
 
 79.66 
 
 7.32 
 
 79.63 
 
 7.67 
 
 79.60 
 
 8.02 
 
 79.56 
 
 8.36 
 
 80 
 
 81 
 
 So. 72 
 
 6.71 
 
 80.69 
 
 7.06 
 
 80.66 
 
 7.41 
 
 8o.63 
 
 7.76 
 
 80.59 
 
 8.12 
 
 80. 56 
 
 8.47 
 
 81 
 
 82 
 
 81.72 
 
 6.79 
 
 81.69 
 
 7.i5 
 
 81.66 
 
 7.5o 
 
 81.62 
 
 7.86 
 
 81.59 
 
 8.22 
 
 8i.55 
 
 8.57 
 
 82 
 
 83 
 
 82.71 
 
 6.87 
 
 82.68 
 
 7.23 
 
 82.65 
 
 7.59 
 
 82.62 
 
 7.96 
 
 82.58 
 
 8.32 
 
 82.55 
 
 8.68 
 
 83 
 
 84 
 
 83.71 
 
 6.96 
 
 83.68 
 
 7.32 
 
 83.65 
 
 7.69 
 
 83.6i 
 
 8.o5 
 
 83.58 
 
 8.42 
 
 83.54 
 
 8.78 
 
 84 
 
 85 
 
 84.71 
 
 7.04 
 
 84.68 
 
 7.41 
 
 84.64 
 
 7.78 
 
 84.61 
 
 8.i5 
 
 84.57 
 
 8.52 
 
 84.53 
 
 8.88 
 
 85 
 
 86 
 
 85.70 
 
 7.12 
 
 85.67 
 
 7.5o 
 
 85.64 
 
 7.87 
 
 85.6o 
 
 8.24 
 
 85.57 
 
 8.62 
 
 85.53 
 
 8-99 
 
 86 
 
 87 
 
 86.70 
 
 7.20 
 
 86.67 
 
 7.58 
 
 86.64 
 
 7.96 
 
 86.60 
 
 8.34 
 
 86.56 
 
 8.72 
 
 86.52 
 
 9.09 
 
 87 
 
 88 
 
 87.70 
 
 7.29 
 
 87.67 
 
 7.67 
 
 87.63 
 
 8.o5 
 
 87.59 
 
 8.43 
 
 87.56 
 
 8.82 
 
 87.52 
 
 9 20 
 
 88 
 
 89 
 
 88.70 
 
 7.37 
 
 88.66 
 
 7.76 
 
 88.63 
 
 8.i4 
 
 88.59 
 
 8.53 
 
 88.55 
 
 8.92 
 
 88.5i 
 
 9.30 
 
 89 
 
 90 
 
 89.69 
 
 7.45 
 
 89.66 
 
 7-84 
 
 89.62 
 
 8.24 
 
 89.59 
 
 8.63 
 
 89.55 
 
 9.02 
 
 89.51 
 
 9.41 
 
 90 
 
 91 
 
 90.69 
 
 7.54 
 
 90.65 
 
 7.93 
 
 90.62 
 
 8.33 
 
 90.58 
 
 8.72 
 
 90.54 
 
 9.12 
 
 90.50 
 
 9.5i 
 
 9' 
 
 92 
 
 91.68 
 
 7.62 
 
 91.65 
 
 8.02 
 
 91.61 
 
 8.42 
 
 91.58 
 
 8.82 
 
 91.54 
 
 9.22 
 
 91.50 
 
 9.62 
 
 9^ 
 
 93 
 
 92.68 
 
 7.70 
 
 92.65 
 
 8. II 
 
 92.61 
 
 8.5i 
 
 92.57 
 
 8.91 
 
 92.53 
 
 9.32 
 
 92.49 
 
 9.72 
 
 93 
 
 94 
 
 93.68 
 
 7.78 
 
 93.64 
 
 8.19 
 
 93.61 
 
 8.60 
 
 93.57 
 
 9.01 
 
 93.53 
 
 9.42 
 
 93.49 
 
 9.83 
 
 94 
 
 95 
 
 94.67 
 
 7.87 
 
 94.64 
 
 8.28 
 
 94.60 
 
 8.69 
 
 94.56 
 
 9.11 
 
 94.52 
 
 9.52 
 
 94.48 
 
 9.93 
 
 95 
 
 96 
 
 95.67 
 
 7.95 
 
 95.63 
 
 8.37 
 
 95.60 
 
 8.78 
 
 95.56 
 
 9.20 
 
 95.52 
 
 9.62 
 
 95.47 
 
 io.o3 
 
 96 
 
 97 
 
 96.67 
 
 8.o3 
 
 96.63 
 
 8.45 
 
 96.59 
 
 8.88 
 
 96.55 
 
 9.30 
 
 96.51 
 
 9.72 
 
 96.47 
 
 10. i4 
 
 97 
 
 98 
 
 97.66 
 
 8.12 
 
 97.63 
 
 8.54 
 
 97.59 
 
 8.97 
 
 97.55 
 
 9.39 ,97.51 
 
 9.82 
 
 97.46 
 
 10.24 
 
 98 
 
 99 
 
 98.66 
 
 8.20 
 
 98.62 
 
 8.63 
 
 98.59 
 
 9.06 
 
 98.54 
 
 9.49 i 98.50 
 
 9.92 
 
 98.46 
 
 10.35 
 
 99 
 
 too 
 
 
 
 a 
 
 CS 
 
 5 
 
 99.66 
 
 8.28 
 Lat. 
 
 ! 99.62 
 Dep. 
 
 8.72 
 Lat. 
 
 99-58 
 
 9.i5 
 Lat. 
 
 99-54 
 
 9.58 99.50 
 
 10.02 
 Ijit. 
 
 99.45 
 
 10.45 
 
 100 
 
 Dep. 
 
 Dep. 
 
 Dep. 
 
 Lat. 
 
 , I>ep. 
 
 Dep. 
 
 Lat. 
 
 S 
 
 a 
 
 851^ Deg. 
 
 85 Deg. 
 
 843^ Deg. 
 
 841^ Deg. 
 
 84.^^ Deg. 
 
 84 Deg. 
 
 5 
 
 CO 
 
 a 
 
144 
 
 
 
 
 T 
 
 RAVERSE iABLE 
 
 • 
 
 
 
 
 
 K 
 
 a 
 n 
 ? 
 
 I 
 
 QVi Deg. 
 
 6K Deg. 
 
 6% Deg. 
 
 7 Deg. 
 
 7^ Deg. 
 
 73^ Deg. 
 
 
 
 CO 
 
 a 
 
 
 I 
 
 I, at. 
 
 0.99 
 1.99 
 2.98 
 3.98 
 
 4.97 
 
 Dep. 
 
 O.I I 
 
 I,at. 
 0.99 
 
 Dep. 
 O.I I 
 
 I,at. 
 
 Dep. 
 0.12 
 
 Lat. 1 
 
 Dep. [ 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 o.i3 
 
 0.99 
 
 0.99 
 
 0.12 
 
 0.99 
 
 0.l3 
 
 0.99 
 
 2 
 
 0.22 
 
 1.99 
 
 0.23 
 
 1.99 
 
 0.24 
 
 1.99 
 
 0.24 
 
 1.98 
 
 0.25 
 
 1.98 
 
 0.26 
 
 2 
 
 3 
 
 0.33 
 
 2.98 
 
 0.34 
 
 2.98 
 
 0.35 
 
 2.98 
 
 0.37 
 
 2.98 
 
 0.38 
 
 2-97 
 
 0.39 
 
 3 
 
 4 
 
 0.44 
 
 3.97 
 
 0.45 
 
 3.97 
 
 0.47 
 
 3.97 
 
 0.49 
 
 3-97 
 
 o.5o 
 
 3-97 
 
 0.52 
 
 4 
 
 5 
 
 0.54 
 
 4.97 
 
 0.57 
 
 4-97 
 
 0.59 
 
 4.96 
 
 0.61 
 
 4.96 
 
 0.63 
 
 4.96 
 
 0.65 
 
 5 
 
 6 
 
 5.96 
 6.96 
 
 0.65 
 
 5.96 
 
 0.68 
 
 5.96 
 
 0.71 
 
 5.96 
 
 0.73 
 
 5.95 
 
 0.76 
 
 5.95 
 
 0.78 
 
 6 
 
 7 
 
 0.76 
 
 6.96 
 
 0.79 
 
 6.95 
 
 0.82 
 
 6.95 
 
 0.85 
 
 6.94 
 
 0.88 
 
 6.94 
 
 0.91 
 
 7 
 
 / 
 
 8 
 
 7.95 
 
 0.87 
 
 7.95 
 
 0.91 
 
 7.94 
 
 0.94 
 
 7-94 
 
 0.97 
 
 7-94 
 
 1. 01 
 
 7.93 
 
 
 
 i.o4 
 
 8 
 
 9 
 
 8.95 
 
 0.98 
 
 8.94 
 
 1.02 
 
 8.94 
 
 1.06 
 
 8.93 
 
 l.IO 
 
 8.93 
 
 i.i4 
 
 8.92 
 
 1. 17 
 
 9 
 
 lO 
 
 9.94 
 
 1.09 
 
 9.94 
 
 i.i3 
 
 9.93 
 
 1. 18 
 
 9.93 
 
 1.22 
 
 9.92 
 
 1.26 
 
 9.91 
 
 i.3i 
 
 10 
 
 II 
 
 10.93 
 
 1.20 
 
 10.93 
 
 1.25 
 
 10.92 
 
 1.29 
 
 10.92 
 
 1.34 
 
 10.91 
 
 1.39 
 
 10.91 
 
 1.44 
 
 II 
 
 12 
 
 11.93 
 
 i.3i 
 
 I 1.92 
 
 1.36 
 
 1 1,92 
 
 i.4i 
 
 11.91 
 
 1.46 
 
 II .90 
 
 i.5i 
 
 1 1.90 
 
 1.57 
 
 12 
 
 i3 
 
 12.92 
 13.92 
 14.91 
 
 1.42 
 
 12.92 
 
 1.47 
 
 12.91 
 
 1.53 
 
 12.90 
 
 1.58 
 
 12.90 
 
 1.64 
 
 12.89 
 
 1 .70 
 
 i3 
 
 i4 
 
 1.52 
 
 13.91 
 
 1.59 
 
 13.90 
 
 1.65 
 
 13.90 
 
 1.71 
 
 13.89 
 
 1-77 
 
 i3.88 
 
 1.83 
 
 i4 
 
 i5 
 
 1.63 
 
 14.90 
 
 1.70 
 
 14.90 
 
 1.76 
 
 14.89 
 
 1.83 
 
 14.88 
 
 1.89 
 
 14.87 
 
 1.96 
 
 i5 
 
 i6 
 
 1 5.00 
 
 1.74 
 
 iS.go 
 
 1.81 
 
 15.89 
 
 1.88 
 
 i5.88 
 
 1.95 
 
 15.87 
 
 2.02 
 
 i5.86 
 
 2.09 
 
 16 
 
 '7 
 
 16.90 
 
 1.85 
 
 16.89 
 
 1.92 
 
 16.88 
 
 2.00 
 
 16.87 
 
 2.07 
 
 16.86 
 
 2.1 5 
 
 i6.85 
 
 2.22 
 
 17 
 
 i8 
 
 17.89 
 
 1.96 
 
 17.88 
 
 2.o4 
 
 17.88 
 
 2.12 
 
 17.87 
 
 2.19 
 
 17.86 
 
 2.27 
 
 17.85 
 
 2.35 
 
 18 
 
 IQ 
 
 18.89 
 
 2.07 
 
 18.88 
 
 2.l5 
 
 18.87 
 
 2.23 
 
 18.86 
 
 2.32 
 
 i8.85 
 
 2.4o 
 
 18.84 
 
 2.48 
 
 19 
 
 7 
 
 20 
 
 19.88 
 
 2.18 
 
 19.87 
 
 2.26 
 
 19.86 
 
 2.35 
 
 19.85 
 
 2.44 
 
 19.84 
 
 2.52 
 
 19.83 
 
 2.61 
 
 20 
 
 21 
 
 20.88 
 
 2.29 
 
 20.87 
 
 2.38 
 
 20.85 
 
 2.47 
 
 20.84 
 
 2.56 
 
 20.83 
 
 2.65 
 
 20.82 
 
 2.74 
 
 21 
 
 22 
 
 21.87 
 
 2.40 
 
 21.86 
 
 2.49 
 
 21.85 
 
 2.59 
 
 21.84 
 
 2.68 
 
 21.82 
 
 2.78 
 
 21.81 
 
 2.87 
 
 22 
 
 a3 
 
 22.86 
 
 2.5o 
 
 22.85 
 
 2.60 
 
 2 2.84 
 
 2.70 
 
 22.83 
 
 2.80 
 
 22.82 
 
 2.90 
 
 22.80 
 
 3.00 
 
 23 
 
 24 
 
 23.86 
 
 2.61 
 
 23.85 
 
 2.72 
 
 23.83 
 
 2.82 
 
 23.82 
 
 2.92 
 
 23.81 
 
 3.o3 
 
 23.79 
 
 3.i3 
 
 24 
 
 25 
 
 24.85 
 
 2.72 
 
 24.84 
 
 2.83 
 
 24.83 
 
 2.94 
 
 24.81 
 
 3.o5 
 
 24.80 
 
 3.i5 
 
 24.79 
 
 3.26 
 
 25 
 
 26 
 
 25.85 
 
 2.83 
 
 25.83 
 
 2.94 
 
 25.82 
 
 3.06 
 
 25.81 
 
 3-17 
 
 25.79 
 
 3.28 
 
 25.78 
 
 3.39 
 
 26 
 
 27 
 
 26.84 
 
 2.94 
 
 26.83 
 
 3.06 
 
 26.81 
 
 3.17 
 
 26.80 
 
 3.29 
 
 26.78 
 
 3.4i 
 
 26.77 
 
 3.52 
 
 27 
 
 28 
 
 27.83 
 
 3.o5 
 
 27.82 
 
 3.17 
 
 27.81 
 
 3.29 
 
 27.79 
 
 3.4i 
 
 27.78 
 
 3.53 
 
 27.76 
 
 3.65 
 
 28 
 
 29 
 
 28.83 
 
 3.16 
 
 28.81 
 
 3.28 
 
 28.80 
 
 3.4i 
 
 28.78 
 
 3.53 
 
 28.77 
 
 3.66 
 
 28.75 
 
 3-79 
 
 29 
 
 3o 
 
 29.82 
 
 3.27 
 
 29.81 
 
 3.4o 
 
 29.79 
 
 3.53 
 
 29.78 
 
 3.66 
 
 29.76 
 
 3-79 
 
 29.74 
 
 3.92 
 
 3o 
 
 3i 
 
 30.82 
 
 3.37 
 
 3o.8o 
 
 3.5i 
 
 30.79 
 
 3.64 
 
 30.77 
 
 3.78 
 
 30.75 
 
 3.91 
 
 30.73 
 
 4.o5 
 
 3i 
 
 32 
 
 3i.8i 
 
 3.48 
 
 31.79 
 
 3.62 
 
 31.78 
 
 3.76 
 
 31.76 
 
 3.90 
 
 31.74 
 
 4.04 
 
 31.73 
 
 4.18 
 
 32 
 
 33 
 
 32.80 
 
 3.59 
 
 32.79 
 
 3.74 
 
 32.77 
 
 3.88 
 
 32.75 
 
 4.02 
 
 32.74 
 
 4.16 
 
 32.72 
 
 4.3i 
 
 33 
 
 34 
 
 33.80 
 
 3.70 
 
 33.78 
 
 3.85 
 
 33.76 
 
 4.00 
 
 33.75 
 
 4.i4 
 
 33.73 
 
 4.29 
 
 33.71 
 
 4.44 
 
 34 
 
 35 
 
 34.79 
 
 3.81 
 
 34.78 
 
 3.96 
 
 34.76 
 
 4. II 
 
 34.74 
 
 4.27 
 
 34.72 
 
 4.42 
 
 34.70 
 
 4.57 
 
 35 
 
 36 
 
 35.79 
 
 3.92 
 
 35.77 
 
 4.08 
 
 35.75 
 
 4.23 
 
 35.73 
 
 4.39 
 
 35.71 
 
 4.54 
 
 35.69 
 
 4.70 
 
 36 
 
 37 
 
 36.78 
 
 4.o3 
 
 36.76 
 
 4.19 
 
 36.75 
 
 4.35 
 
 36.72 
 
 4.5i 
 
 36.70 
 
 4.67 
 
 36.68 
 
 4.83 
 
 37 
 
 38 
 
 37.77 
 
 4.i4 
 
 37.76 
 
 4.3o 
 
 37.74 
 
 4.47 
 
 37.72 
 
 4.63 
 
 37.70 
 
 4.80 
 
 37.67 
 
 4.96 
 
 38 
 
 39 
 
 38.77 
 
 4.25 
 
 38.75 
 
 4.4i 
 
 38.73 
 
 4.58 
 
 38.71 
 
 4.75 
 
 38.69 
 
 4.92 
 
 38.67 
 
 5.09 
 
 39 
 
 4o 
 
 39.76 
 
 4.35 
 
 39.74 
 
 4.53 
 
 39.72 
 
 4.70 
 
 39.70 
 
 4.87 
 
 39.68 
 
 5.o5 
 
 39.66 
 
 5.22 
 
 4o 
 
 4i 
 
 40.76 
 
 4.46 
 
 40.74 
 
 4.64 
 
 40.72 
 
 4.82 
 
 40.70 
 
 5.00 
 
 40.67 
 
 5.17 
 
 40.65 
 
 5.35 
 
 4i 
 
 42 
 
 41.75 
 
 4.57 
 
 41.73 
 
 4.76 
 
 41.71 
 
 4.94 
 
 41.69 
 
 5.12 
 
 41.66 
 
 5.3o 
 
 41.64 
 
 5.48 
 
 42 
 
 43 
 
 42.74 
 
 4.68 
 
 42.72 
 
 4.87 
 
 42.70 
 
 5.o5 
 
 42.68 
 
 5 24 
 
 42.66 
 
 5.43 
 
 42.63 
 
 5.61 
 
 43 
 
 44 
 
 43.74 
 
 4.79 
 
 43.72 
 
 4.98 
 
 43.70 
 
 5.17 
 
 43.67 
 
 5.36 
 
 43.65 
 
 5.55 
 
 43.62 
 
 5.74 
 
 44 
 
 45 
 
 44.73 
 
 4.90 
 
 44.71 
 
 5.09 
 
 44.69 
 
 5.29 
 
 44.67 
 
 5.48 
 
 44.64 
 
 5.68 
 
 44.62 
 
 5.87 
 
 45 
 
 46 
 
 45.73 
 
 5.01 
 
 45.70 
 
 5.21 
 
 45.68 
 
 5.4i 
 
 45.66 
 
 5.61 
 
 45.63 
 
 5.81 
 
 45.61 
 
 6.00 
 
 46 
 
 47 
 
 46.72 
 
 5.12 
 
 46.70 
 
 5.32 
 
 46.67 
 
 5.52 
 
 46.65 
 
 5.73 
 
 46.62 
 
 5.93 
 
 46.60 
 
 6.i3 
 
 47 
 
 48 
 
 47-71 
 
 5.23 
 
 47.69 
 
 5.43 
 
 47-67 
 
 5.64 
 
 47-64 
 
 5.85 
 
 47-62 
 
 6.06 
 
 47-59 
 
 6.27 
 
 48 
 
 49 
 
 48.71 
 
 5.34 
 
 48.69 
 
 5.55 
 
 48.66 
 
 5.76 
 
 48.63 
 
 5.97 
 
 48.61 
 
 6.18 
 
 48.58 
 
 6.40 
 
 49 
 
 5o 
 
 i 
 
 to 
 
 a 
 
 49.70 
 
 5.44 
 
 Lat. 
 
 49.68 
 
 5.66 
 
 49-65 
 
 Dep. 
 
 5.88 
 I.at. 
 
 49.63 
 
 6.09 
 
 Lat. 
 
 49.60 
 
 Dep. 
 
 6 3i 
 Lat. 
 
 49.57 
 
 6.53 
 Lat. 
 
 5o 
 
 a 
 
 Dep. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Dep. 
 
 83% Deg. 
 
 83K Deg. 
 
 83K Deg. 
 
 83 Deg. 
 
 82% Deg. 
 
 82K Deg. 
 
Traverse Table. 
 
 145 
 
 2 
 
 00* 
 
 i 
 5i 
 
 6K Deg. 
 
 6K Deg. 
 
 6% Deg. 
 
 7 Deg. 
 
 7% Deg. 
 
 7^ Deg. 
 
 
 
 Cft' 
 
 ET 
 
 D 
 
 
 5i 
 
 I,at. 
 
 l)ep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat 
 
 Dep. 
 
 50.70 
 
 5.55 
 
 50.67 
 
 5.77 
 
 5o.65 
 
 5-99 
 
 5o.62 
 
 6.22 
 
 50.59 
 
 6.44 
 
 5o.56 
 
 6.66 
 
 52 
 
 51.69 
 
 5.66 
 
 51.67 
 
 5.89 
 
 5 1. 64 
 
 6.11 
 
 5i.6i 
 
 6.34 
 
 5i.58 
 
 6.56 
 
 5i.56 
 
 6.79 
 
 52 
 
 53 
 
 52.68 
 
 5.77 
 
 52.66 
 
 6.00 
 
 52.63 
 
 6.23 
 
 52.60 
 
 6.46 
 
 52.58 
 
 6.69 
 
 52.55 
 
 6.92 
 
 53 
 
 54 
 
 53.68 
 
 5.88 
 
 53.65 
 
 6. II 
 
 53.63 
 
 6.35 
 
 53.60 
 
 6.58 
 
 53.57 
 
 6.81 
 
 53.54 
 
 7.o5 
 
 54 
 
 55 
 
 54.67 
 
 5.99 
 
 54.65 
 
 6.23 
 
 54.62 
 
 6.46 
 
 54.59 
 
 6.70 
 
 54.56 
 
 6.94 
 
 54.53 
 
 7.18 
 
 55 
 
 56 
 
 55.67 
 
 6.10 
 
 55.64 
 
 6.34 
 
 55.61 
 
 6.58 
 
 55.58 
 
 6.8?. 
 
 55.55 
 
 7.07 
 
 55.52 
 
 7.3i 
 
 56 
 
 57 
 
 56.66 
 
 6.21 
 
 56.63 
 
 6.45 
 
 56.6o 
 
 6.70 
 
 56.58 
 
 6.95 
 
 56.54 
 
 7.19 
 
 56.5i 
 
 7.44 
 
 57 
 
 58 
 
 57.66 
 
 6.3i 
 
 57.63 
 
 6.57 
 
 57.60 
 
 6.82 
 
 57.57 
 
 7.07 
 
 57.54 
 
 7.32 
 
 57.50 
 
 7.57 
 
 58 
 
 59 
 
 58.65 
 
 6.42 
 
 58.62 
 
 6.68 
 
 58.59 
 
 6.93 
 
 58.56 
 
 7.19 
 
 58.53 
 
 7.45 
 
 58.5o 
 
 7.70 
 
 59 
 
 60 
 
 59.64 
 
 6.53 
 
 59.61 
 
 6.79 
 
 59.58 
 
 7.o5 
 
 59.55 
 
 7.3i 
 
 59.52 
 
 7.57 
 
 59.49 
 
 7.83 
 
 60 
 
 61 
 
 60.64 
 
 6.64 
 
 60.61 
 
 6.91 
 
 60.58 
 
 7.17 
 
 60.55 
 
 7-43 
 
 6o.5i 
 
 7.70 
 
 60.48 
 
 7.96 
 
 61 
 
 62 
 
 6i.63 
 
 6.75 
 
 61.60 
 
 7.02 
 
 61.57 
 
 7.29 
 
 61.54 
 
 7.56 
 
 61. 5o 
 
 7.82 
 
 61.47 
 
 8.09 
 
 62 
 
 63 
 
 62.63 
 
 6.86 
 
 62.60 
 
 7.13 
 
 62.56 
 
 7.40 
 
 62.53 
 
 7.68 
 
 62.50 
 
 7.95 
 
 62.46 
 
 8.22 
 
 63 
 
 64 
 
 63.62 
 
 6.97 
 
 63.59 
 
 7.25 
 
 63.56 
 
 7.52 
 
 63.52 
 
 7.80 
 
 63.49 
 
 8.08 
 
 63.45 
 
 8.35 
 
 64 
 
 65 
 
 64.61 
 
 7.08 
 
 64.58 
 
 7.36 
 
 64.55 
 
 7.64 
 
 64.52 
 
 7.92 
 
 64.48 
 
 8.20 
 
 64.44 
 
 8.4b 
 
 65 
 
 66 
 
 65.6i 
 
 7.19 
 
 65.58 
 
 7-47 
 
 65.54 
 
 7.76 
 
 65. 5i 
 
 8.o4 
 
 65.47 
 
 8.33 
 
 65.44 
 
 8.61 
 
 66 
 
 67 
 
 66.60 
 
 7.29 
 
 66.57 
 
 7.58 
 
 66.54 
 
 7.88 
 
 66.5o 
 
 8.17 
 
 66.46 
 
 8.46 
 
 66.43 
 
 8.75 
 
 67 
 
 68 
 
 67.60 
 
 7.40 
 
 67.56 
 
 7.70 
 
 67.53 
 
 7-99 
 
 67.49 
 
 8.29 
 
 67.46 
 
 8.58 
 
 67.42 
 
 8.88 
 
 68 
 
 69 
 
 68.59 
 
 7.5i 
 
 68.56 
 
 7.81 
 
 68.52 
 
 8.11 
 
 68.49 
 
 8.4i 
 
 68.45 
 
 8.71 
 
 68.41 
 
 9.01 
 
 69 
 
 70 
 
 69.58 
 
 7.62 
 
 69.55 
 
 7.92 
 
 69.51 
 
 8.23 
 
 69.48 
 
 8.53 
 
 69.44 
 
 8.83 
 
 69.40 
 
 9.14 
 
 70 
 
 71 
 
 70.58 
 
 7.73 
 
 70.54 
 
 8.o4 
 
 70.51 
 
 8.35 
 
 70.47 
 
 8.65 
 
 70.43 
 
 8.96 
 
 70.39 
 
 9.27 
 
 71 
 
 72 
 
 71.57 
 
 7.84 
 
 71.54 
 
 8.i5 
 
 71. 5o 
 
 8.46 
 
 71.46 
 
 8.77 
 
 71.42 
 
 9.09 
 
 71.38 
 
 9.40 
 
 72 
 
 73 
 
 72.57 
 
 7.95 
 
 72.53 
 
 8.26 
 
 72.49 
 
 8.58 
 
 72.46 
 
 8.90 
 
 72.42 
 
 9.21 
 
 72.38 
 
 9.53 
 
 73 
 
 74 
 
 73.56 
 
 8.06 
 
 73.52 
 
 8.38 
 
 73.49 
 
 8.70 
 
 73.45 
 
 9.02 
 
 73.41 
 
 9.34 
 
 73.37 
 
 9.66 
 
 74 
 
 75 
 
 74.55 
 
 8.17 
 
 74.52 
 
 8.49 
 
 74.48 
 
 8.82 
 
 74.44 
 
 9.14 
 
 74.40 
 
 9.46 
 
 74.36 
 
 9-79 
 
 75 
 
 76 
 
 75.55 
 
 8.27 
 
 75.51 
 
 8.60 
 
 75.47 
 
 8.93 
 
 75.43 
 
 9.26 
 
 75.39 
 
 9.59 
 
 75.35 
 
 9.92 
 
 76 
 
 77 
 
 76.54 
 
 8.38 
 
 76.51 
 
 8.72 
 
 76.47 
 
 9.o5 
 
 76.43 
 
 9.38 
 
 76.38 
 
 9.72 
 
 76.34 
 
 lo.oS 
 
 77 
 
 78 
 
 77.54 
 
 8.49 
 
 77. 5o 
 
 8.83 
 
 77-46 
 
 9.17 
 
 77.42 
 
 9.5i 
 
 77.38 
 
 9.84 
 
 77.33 
 
 10.18 
 
 78 
 
 79 
 
 78.53 
 
 8.60 
 
 78.49 
 
 8.94 
 
 78.45 
 
 9.29 
 
 78.41 
 
 9.63 
 
 78.37 
 
 9-97 
 
 78.32 
 
 10. 3i 
 
 79 
 
 80 
 
 79.53 
 
 8.71 
 
 79-49 
 
 9.06 
 
 79-45 
 
 9.40 
 
 79.40 
 
 9-75 
 
 79-36 
 
 10.10 
 
 79.32 
 
 10.44 
 
 80 
 
 81 
 
 80.52 
 
 8.82 
 
 80.48 
 
 9.17 
 
 80.44 
 
 9.52 
 
 8o.4o 
 
 9.87 
 
 80.35 
 
 10.22 
 
 8o.3i 
 
 10.57 
 
 8i 
 
 82 
 
 81. 5i 
 
 8.93 
 
 81.47 
 
 9.28 
 
 81.43 
 
 9.64 
 
 81.39 
 
 9-99 
 
 81.34 
 
 10.35 
 
 81. 3o 
 
 10.70 
 
 82 
 
 83 
 
 82. 5i 
 
 9.04 
 
 82.47 
 
 9.40 
 
 82.42 
 
 9.76 
 
 82.38 
 
 10.12 
 
 82.34 
 
 10.47 
 
 82.29 
 
 10.83 
 
 83 
 
 84 
 
 83. 5o 
 
 9.14 
 
 83.46 
 
 9.5i 
 
 83.42 
 
 9.87 
 
 83.37 
 
 10.24 
 
 83.33 
 
 10.60 
 
 83.28 
 
 10.96 
 
 84 
 
 85 
 
 84. 5o 
 
 9.25 
 
 84.45 
 
 9.62 
 
 84.41 
 
 9-99 
 
 84.37 
 
 10. 36 
 
 84.32 
 
 10.73 
 
 84.27 
 
 1 1.09 
 
 85 
 
 86 
 
 85.49 
 
 9.36 
 
 85.45 
 
 9.74 
 
 85.4o 
 
 10. 1 1 
 
 85.36 
 
 10.48 
 
 85.3i 
 
 10.85 
 
 85.26 
 
 11.23 
 
 86 
 
 87 
 
 86.48 
 
 9.47 
 
 86.44 
 
 9.85 
 
 86.40 
 
 10. 23 
 
 86.35 
 
 10.60 
 
 86. 3o 
 
 10.98 
 
 86.26 
 
 11.36 
 
 87 
 
 88 
 
 87.48 
 
 9.58 
 
 87.43 
 
 9.96 
 
 87.39 
 
 10.34 
 
 87.34 
 
 10.72 
 
 87.30 
 
 1 1. 11 
 
 87.25 
 
 11.49 
 
 88 
 
 89 
 
 88.47 
 
 9.69 
 
 88.43 
 
 10.08 
 
 88.38 
 
 10.46 
 
 88.34 
 
 10.85 
 
 88.29 
 
 11.23 
 
 88.24 
 
 11.62 
 
 89 
 
 90 
 
 89.47 
 
 9.80 
 
 89.42 
 
 10.19 
 
 89.38 
 
 10. 58 
 
 89.33 
 
 10.97 
 
 89.28 
 
 11.36 
 
 89.23 
 
 11.75 
 
 90 
 
 91 
 
 90.46 
 
 9.91 
 
 90.42 
 
 10. 3o 
 
 90.37 
 
 10.70 
 
 90.32 
 
 11.09 
 
 90.27 
 
 11.48 
 
 90.22 
 
 11.88 
 
 91 
 
 92 
 
 91.45 
 
 10.02 
 
 91.41 
 
 10.41 
 
 91.36 
 
 10. 81 
 
 91.31 
 
 II. 2 1 
 
 91.26 
 
 1 1.61 
 
 91.21 
 
 12.01 
 
 92 
 
 93 
 
 92.45 
 
 10.12 
 
 92.40 
 
 10.53 
 
 92.36 
 
 10.93 
 
 92.31 
 
 11.33 
 
 92.26 
 
 11.74 
 
 92.20 
 
 12. i4 
 
 93 
 
 94 
 
 93.44 
 
 10. 23 
 
 93.40 
 
 10.64 
 
 93.35 
 
 ii.o5 
 
 93.30 
 
 11.46 
 
 93.25 
 
 11.86 
 
 93.20 
 
 12.27 
 
 94 
 
 95 
 
 94.44 
 
 10.34 
 
 94.39 
 
 10.75 
 
 94.34 
 
 11. 17 
 
 94.29 
 
 11.58 
 
 94.24 
 
 11.99 
 
 94.19 
 
 12.40 
 
 95 
 
 96 
 
 95.43 
 
 10.45 
 
 95.38 
 
 10.87 
 
 95.33 
 
 11.28 
 
 95.28 
 
 11.70 
 
 95.23 
 
 12.12 
 
 95.18 
 
 12.53 
 
 96 
 
 97 
 
 96.42 
 
 10. 56 
 
 96.38 
 
 10.98 
 
 96.33 
 
 1 i.4o 
 
 96.28 
 
 11.82 
 
 96.22 
 
 12.24 
 
 96.17 
 
 12.66 
 
 97 
 
 
 
 98 
 
 97.42 
 
 10.67 
 
 97.37 
 
 11.09 
 
 97.32 
 
 11.52 
 
 97.27 
 
 11.94 
 
 97.22 
 
 12.37 
 
 97.16 
 
 12.79 
 
 98 
 
 99 
 
 98.41 
 
 10.78 
 
 98.36 
 
 II. 21 
 
 98.31 
 
 11.64 
 
 98.26 
 
 12.07 
 
 98.21 
 
 12.49 
 
 98.15 
 
 12.92 
 
 c 
 
 99 
 
 100 
 
 99.41 
 
 10.89 
 
 99.36 
 
 11.32 
 Lat. 
 
 99.31 
 
 11.75 
 
 99.25 
 
 12.19 
 
 99.20 
 
 12.62 
 
 99.14 
 
 i3.o5 
 
 100 
 
 a 
 
 5 
 
 Dep. 
 
 I.at. 
 
 Dep. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 8 
 
 d 
 
 m 
 
 Q 
 
 83% Deg. 
 
 833^ 
 
 Deg. 
 
 83% 
 
 Deg. 
 
 83 1 
 
 )eg. 
 
 82% Deg. 
 
 82K 
 
 Deg. 
 
 K 
 
146 
 
 Traverse Table. 
 
 D 
 in 
 
 s 
 
 1 
 
 7% Deg. 
 
 8 Deg. 
 
 8% Deg. 
 
 8% Deg. 
 
 8% Deg. 
 
 9 Deg. 
 
 g 
 
 55' 
 
 1 
 
 
 
 1 
 
 Ul. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat 
 
 Dep. 
 o.i4 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 0.16 
 
 0.99 
 
 o.i3 
 
 0.99 
 
 o.i4 
 
 0.99 
 
 0.99 
 
 o.l5 
 
 0.99 
 
 o.i5 
 
 0.99 
 
 2 
 
 1.98 
 
 0.27 
 
 1.98 
 
 0.28 
 
 1.98 
 
 0.29 
 
 1.98 
 
 o.3o 
 
 1.98 
 
 o.3o 
 
 1.98 
 
 o.3i 
 
 2 
 
 3 
 
 2.97 
 
 o.4o 
 
 2.97 
 
 0.42 
 
 2.97 
 
 0.43 
 
 2.97 
 
 0.44 
 
 2.97 
 
 0.46 
 
 2.96 
 
 0.47 
 
 3 
 
 4 
 
 3.96 
 
 0.54 
 
 3.96 
 
 0.56 
 
 3.96 
 
 0.57 
 
 3.96 
 
 0.59 
 
 3.95 
 
 0.61 
 
 3.95 
 
 0.63 
 
 4 
 
 5 
 
 4.95 
 
 0.67 
 
 4.95 
 
 0.70 
 
 4.95 
 
 0.72 
 
 4.95 
 
 0.74 
 
 4.94 
 
 0.76 
 
 4.94 
 
 0.78 
 
 5 
 
 6 
 
 5.95 
 
 0.81 
 
 5.94 
 
 0.84 
 
 5.94 
 
 0.86 
 
 5.93 
 
 0.89 
 
 5.93 
 
 0.91 
 
 5.93 
 
 0.94 
 
 6 
 
 7 
 
 6.g4 
 
 0.94 
 
 6.93 
 
 0.97 
 
 6.93 
 
 1.00 
 
 6.92 
 
 i.o3 
 
 6.92 
 
 1.06 
 
 6.91 
 
 1. 10 
 
 7 
 
 8 
 
 7.93 
 
 1.08 
 
 7.92 
 
 1. 11 
 
 7.92 
 
 i.i5 
 
 7.91 
 
 1.18 
 
 7.91 
 
 1.22 
 
 7.90 
 
 1.25 
 
 8 
 
 9 
 
 8.92 
 
 1.21 
 
 8.91 
 
 1.25 
 
 8.91 
 
 1.29 
 
 8.90 
 
 1.33 
 
 8.90 
 
 1.37 
 
 8.89 
 
 i.4i 
 
 9 
 
 10 
 
 9.91 
 
 1.35 
 
 9.90 
 
 1.39 
 
 9.90 
 
 1.43 
 
 9.89 
 
 1.48 
 
 9.88 
 
 1.52 
 
 9.88 
 
 1.56 
 
 10 
 
 II 
 
 10.90 
 
 1.48 
 
 10.89 
 
 1.53 
 
 10.89 
 
 1.58 
 
 10.88 
 
 1.63 
 
 10.87 
 
 1.67 
 
 10.86 
 
 1.72 
 
 1 1 
 
 12 
 
 11.89 
 
 1.62 
 
 11.88 
 
 1.67 
 
 11.88 
 
 1.72 
 
 11.87 
 
 1.77 
 
 11.86 
 
 1.83 
 
 11.85 
 
 1.88 
 
 12 
 
 i3 
 
 12.88 
 
 1.75 
 
 12.87 
 
 1.81 
 
 12.87 
 
 1.87 
 
 12.86 
 
 1.92 
 
 12.85 
 
 1.98 
 
 12.84 
 
 2.o3 
 
 i3 
 
 i4 
 
 13.87 
 
 1.89 
 
 i3.86 
 
 1.95 
 
 i3.86 
 
 2.01 
 
 i3.85 
 
 2.07 
 
 i3.84 
 
 2.l3 
 
 i3.83 
 
 2.19 
 
 i4 
 
 i5 
 
 14.86 
 
 2.02 
 
 i4.85 
 
 2.09 
 
 i4.85 
 
 2.l5 
 
 14.84 
 
 2.22 
 
 i4.83 
 
 2.28 
 
 14.82 
 
 2.35 
 
 i5 
 
 i6 
 
 i5.85 
 
 2.16 
 
 i5.84 
 
 2.23 
 
 i5.84 
 
 2.3o 
 
 15.82 
 
 2.36 
 
 i5.8i 
 
 2.43 
 
 i5.8o 
 
 2.5o 
 
 16 
 
 '7 
 
 16.84 
 
 2.29 
 
 i6.83 
 
 2.37 
 
 i6.83 
 
 2.44 
 
 16.81 
 
 2.5l 
 
 16.80 
 
 2.59 
 
 16.79 
 
 2.66 
 
 17 
 
 i8 
 
 17.84 
 
 2.43 
 
 17.82 
 
 2.5l 
 
 17.81 
 
 2.58 
 
 17.80 
 
 2.66 
 
 17.79 
 
 2.74 
 
 17.78 
 
 2.82 
 
 18 
 
 19 
 
 18.83 
 
 2.56 
 
 18.82 
 
 2.64 
 
 18.80 
 
 2.73 
 
 18.79 
 
 2.81 
 
 18.78 
 
 2.89 
 
 18.77 
 
 2.97 
 
 19 
 
 20 
 
 19.82 
 
 2.70 
 
 19.81 
 
 2.78 
 
 19.79 
 
 2.87 
 
 19.78 
 
 2.96 
 
 19.77 
 
 3.o4 
 
 19.75 
 
 3.i3 
 
 20 
 
 21 
 
 20.81 
 
 2.83 
 
 20.80 
 
 2.92 
 
 20.78 
 
 3.01 
 
 20.77 
 
 3.10 
 
 20.76 
 
 3.19 
 
 20.74 
 
 3.29 
 
 21 
 
 22 
 
 21.80 
 
 2.97 
 
 21.79 
 
 3.06 
 
 21.77 
 
 3.16 
 
 21.76 
 
 3.25 
 
 21.74 
 
 3.35 
 
 21.73 
 
 3.44 
 
 22 
 
 23 
 
 22.79 
 
 3.10 
 
 22.78 
 
 3.20 
 
 22.76 
 
 3.3o 
 
 22.75 
 
 3.4o 
 
 22.73 
 
 3.5o 
 
 22.72 
 
 3.60 
 
 23 
 
 24 
 
 23.78 
 
 3.24 
 
 23.77 
 
 3.34 
 
 23.75 
 
 3.44 
 
 23.74 
 
 3.55 
 
 23.72 
 
 3.65 
 
 23.70 
 
 3.75 
 
 24 
 
 25 
 
 24.77 
 
 3.37 
 
 24.76 
 
 3.48 
 
 24.74 
 
 3.59 
 
 24.73 
 
 3.70 
 
 24.71 
 
 3.80 
 
 24.69 
 
 3.91 
 
 25 
 
 26 
 
 25.76 
 
 3.5i 
 
 25.75 
 
 3.62 
 
 25.73 
 
 3.73 
 
 25.71 
 
 3.84 
 
 25.70 
 
 3.96 
 
 25.68 
 
 4.07 
 
 26 
 
 27 
 
 26.75 
 
 3.64 
 
 26.74 
 
 3.76 
 
 26.72 
 
 3.87 
 
 26.70 
 
 3.99 
 
 26.69 
 
 4.11 
 
 26.67 
 
 4.22 
 
 27 
 
 28 
 
 27.74 
 
 3.78 
 
 27.73 
 
 3.90 
 
 27.71 
 
 4.02 
 
 27.69 
 
 4.14 
 
 27.67 
 
 4.26 
 
 27.66 
 
 4.38 
 
 28 
 
 29 
 
 28.74 
 
 3.91 
 
 28.72 
 
 4.o4 
 
 28.70 
 
 4.16 
 
 28.68 
 
 4.29 
 
 28.66 
 
 4.4i 
 
 28.64 
 
 4.54 
 
 29 
 
 3o 
 
 29.73 
 
 4.o5 
 
 29.71 
 
 4.18 
 
 29.69 
 
 4.3o 
 
 29.67 
 
 4.43 
 
 29.65 
 
 4.56 
 
 29.63 
 
 4.69 
 
 3o 
 
 3i 
 
 30.72 
 
 4.18 
 
 30.70 
 
 4.3i 
 
 30.68 
 
 4.45 
 
 3o.66 
 
 4.58 
 
 3o.64 
 
 4.72 
 
 30.62 
 
 4.85 
 
 3i 
 
 32 
 
 31.71 
 
 4.32 
 
 31.69 
 
 4.45 
 
 31.67 
 
 4.59 
 
 31.65 
 
 4.73 
 
 31.63 
 
 4.87 
 
 3i.6i 
 
 5.01 
 
 32 
 
 33 
 
 32.70 
 
 4.45 
 
 32.68 
 
 4.39 
 
 32.66 
 
 4.74 
 
 32.64 
 
 4.88 
 
 32.62 
 
 5.02 
 
 32.59 
 
 5.16 
 
 33 
 
 34 
 
 33.69 
 
 4.58 
 
 33.67 
 
 4.73 
 
 33.65 
 
 4.88 
 
 33.63 
 
 5.o3 
 
 33.60 
 
 5.17 
 
 33.58 
 
 5.32 
 
 34 
 
 35 
 
 34.68 
 
 4.72 
 
 34.66 
 
 4.87 
 
 34.64 
 
 5.02 
 
 34.62 
 
 5.17 
 
 34.59 
 
 5.32 
 
 34.57 
 
 5.48 
 
 35 
 
 36 
 
 35.67 
 
 4.85 
 
 35.65 
 
 5.01 
 
 35.63 
 
 5.17 
 
 35.60 
 
 5.32 
 
 35.58 
 
 5.48 
 
 35.56 
 
 5.63 
 
 36 
 
 37 
 
 36.66 
 
 4.99 
 
 36.64 
 
 5.i5 
 
 36.62 
 
 5.3i 
 
 36.59 
 
 5.47 
 
 36.57 
 
 5.63 
 
 36.54 
 
 5.79 
 
 37 
 
 38 
 
 37.65 
 
 5.12 
 
 37.63 
 
 5.29 
 
 37.61 
 
 5.45 
 
 37.58 
 
 5.62 
 
 37.56 
 
 5.78 
 
 37.53 
 
 5.94 
 
 38 
 
 39 
 
 38.64 
 
 5.26 
 
 38.62 
 
 5.43 
 
 38.6o 
 
 5.60 
 
 38.57 
 
 5.76 
 
 38.55 
 
 5.93 
 
 38.52 
 
 6.10 
 
 39 
 
 4o 
 
 39.63 
 
 5.39 
 
 39.61 
 
 5.57 
 
 39.59 
 
 5.74 
 
 39.56 
 
 5.91 
 
 39.53 
 
 6.08 
 
 39.51 
 
 6.26 
 
 4o 
 
 4i 
 
 40.63 
 
 5.53 
 
 4o.6o 
 
 5.71 
 
 4o.58 
 
 5.88 
 
 40.55 
 
 6.06 
 
 4o.52 
 
 6.24 
 
 4o.5o 
 
 6.4i 
 
 4i 
 
 42 
 
 41.62 
 
 5.66 
 
 41.59 
 
 5.85 
 
 41.57 
 
 6.o3 
 
 41.54 
 
 6.21 
 
 4i.5i 
 
 6.39 
 
 41.48 
 
 6.57 
 
 42 
 
 43 
 
 42.61 
 
 5.80 
 
 42.58 
 
 5.98 
 
 42.56 
 
 6.17 
 
 42.53 
 
 6.36 
 
 42. 5o 
 
 6.54 
 
 42.47 
 
 6.73 
 
 43 
 
 44 
 
 43.60 
 
 5.93 
 
 43.57 
 
 6.12 
 
 43.54 
 
 6.3i 
 
 43.52 
 
 6.5o 
 
 43.49 
 
 6.69 
 
 43.46 
 
 6.88 
 
 44 
 
 45 
 
 44.59 
 
 6.07 
 
 44.56 
 
 6.26 
 
 44.53 
 
 6.46 
 
 44.5i 
 
 6.65 
 
 44.48 
 
 6.85 
 
 44.45 
 
 7.04 
 
 45 
 
 46 
 
 45.58 
 
 6.20 
 
 45.55 
 
 6.4o 
 
 45.52 
 
 6.60 
 
 45.49 
 
 6.80 
 
 45.46 
 
 7.00 
 
 45.43 
 
 7.20 
 
 46 
 
 47 
 
 46.57 
 
 6.34 
 
 46.54 
 
 6.54 
 
 46.5i 
 
 6.74 
 
 46.48 
 
 6.951 
 
 46.45 
 
 7.15 
 
 46.42 
 
 7.35 
 
 47 
 
 48 
 
 47.56 
 
 6.47 
 
 47.53 
 
 6.68 
 
 47.5o 
 
 6.89 
 
 47.47 
 
 7.09 
 
 47.44 
 
 7.3o 
 
 47.41 
 
 7.5i 
 
 48 
 
 49 
 
 48.55 
 
 6.61 
 
 48.52 
 
 6.82 
 
 48.49 
 
 7.o3 
 
 48.46 
 
 7.24 
 
 48.43 
 
 7.45 
 
 48.4o 
 
 7.67 
 
 49 
 
 5o 
 
 § 
 
 49.54 
 
 6.74 
 
 Lat. 
 
 49.51 
 
 6.9^ 
 
 49.48 
 
 7.17 
 
 49.45 
 
 7.39 1 
 
 I.at. 
 
 49.42 
 
 7.61 
 
 49.38 
 
 7.82 
 Lat. 
 
 5o 
 8 
 
 a 
 a 
 m 
 £ 
 
 Dep. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 82% Deg. 
 
 82 Deg. 
 
 81% Deg. 
 
 811^ Deg. 
 
 81M Deg. 
 
 i 
 
 81 Deg. 
 

 
 
 
 T 
 
 R A V E R S E T . 
 
 A.BL E. 
 
 
 
 
 U7 
 
 5 
 
 en" 
 
 u 
 
 a 
 5i 
 
 7% Deg. 
 
 8 Deg. 
 
 8K Deg. 
 
 8K Deg. 
 
 8% Deg. 
 
 9 Deg. 
 
 2 
 
 E' 
 
 1 
 
 Lat. 
 
 Dep. 
 6.88 
 
 Lat. 
 
 Dep. 
 7.10 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 i^t. 
 
 Dep. 
 
 ijit. 
 
 Dep. 
 
 5o.53 
 
 5o.5o 
 
 5o.47 
 
 7.32 
 
 5o.44 
 
 7.54 
 
 5o.4i 
 
 7.76 
 
 50.37 
 
 7.98 
 
 5i 
 
 52 
 
 51.53 
 
 7.01 
 
 51.49 
 
 7.24 
 
 5 1. 46 
 
 7.46 
 
 5i.43 
 
 7.69 
 
 51.39 
 
 7.91 
 
 5i.36 
 
 8.i3 
 
 52 
 
 53 
 
 52.52 
 
 7.i5 
 
 52.48 
 
 7.38 
 
 52.45 
 
 7.61 
 
 52.42 
 
 7.83 
 
 52.38 
 
 8.06 
 
 52.35 
 
 8.29 
 
 53' 
 
 54 
 
 53.5i 
 
 7.28 
 
 53.47 
 
 7.52 
 
 53.44 
 
 7.75 
 
 53.41 
 
 7.98 
 
 53.37 
 
 8.21 
 
 53.34 
 
 8.45 
 
 54 
 
 55 
 
 54.5o 
 
 7.42 
 
 54.46 
 
 7.65 
 
 54.43 
 
 7.89 
 
 54.40 
 
 8.i3 
 
 54.36 
 
 8.37 
 
 54.32 
 
 8.60 
 
 55 
 
 56 
 
 55.49 
 
 7.55 
 
 55.46 
 
 7-79 
 
 55.42 
 
 8.o4 
 
 55.38 
 
 8.28 
 
 55.35 
 
 8.52 
 
 55.3i 
 
 8.76 
 
 56 1 
 
 57 
 
 56.48 
 
 7.69 
 
 56.45 
 
 7.93 
 
 56.4i 
 
 8.18 
 
 56.37 
 
 8.43 
 
 56.34 
 
 8.67 
 
 56. 3o 
 
 8.92 
 
 57 
 
 58 
 
 57.47 
 
 7.82 
 
 57.44 
 
 8.07 
 
 57.40 
 
 8.32 
 
 57.36 
 
 8.57 
 
 57.32 
 
 8.82 
 
 57.29 
 
 9.07 
 
 58 
 
 59 
 
 58.46 
 
 7.96 
 
 58.43 
 
 8.21 
 
 58.39 
 
 8.47 
 
 58.35 
 
 8.72 
 
 58.3i 
 
 8.98 
 
 58.27 
 
 9.23 
 
 59 1 
 
 6o 
 
 59.45 
 
 8.09 
 
 59.42 
 
 8.35 
 
 59.38 
 
 8.61 
 
 59.34 
 
 8.87 
 
 59.30 
 
 9.13 
 
 59.26 
 
 9.39 
 
 60 1 
 
 6i 
 
 60.44 
 
 8.23 
 
 60. 4i 
 
 8.49 
 
 60.37 
 
 8.75 
 
 60.33 
 
 9.02 
 
 60.29 
 
 9.28 
 
 60.25 
 
 9.54 
 
 61 
 
 62 
 
 61.43 
 
 8.36 
 
 61. 4o 
 
 8.63 
 
 61.36 
 
 8.90 
 
 61.32 
 
 9.16 
 
 61.28 
 
 9.43 
 
 61.24 
 
 9.70 
 
 62 
 
 63 
 
 62.42 
 
 8.5o 
 
 62.39 
 
 8.77 
 
 62.35 
 
 9.04 
 
 62.31 
 
 9.31 
 
 62.27 
 
 9.58 
 
 62.22 
 
 9.86 
 
 63 ; 
 
 64 
 
 63.42 
 
 8.63 
 
 63.38 
 
 8.91 
 
 63.34 
 
 9.18 
 
 63.3o 
 
 9-46 
 
 63.26 
 
 9-74 
 
 63.21 
 
 10.01 
 
 64 
 
 65 
 
 64.41 
 
 8.77 
 
 64.37 
 
 9.05 
 
 64.33 
 
 9.33 
 
 64.29 
 
 9.61 
 
 64.24 
 
 9.89 
 
 64.20 
 
 10.17 
 
 65 
 
 66 
 
 65.4o 
 
 8.90 
 
 65.36 
 
 9.19 
 
 65.32 
 
 9.47 
 
 65.28 
 
 9.76 
 
 65.23 
 
 10.04 
 
 65.19 
 
 10.32 
 
 66 
 
 67 
 
 66.39 
 
 9.04 
 
 66.35 
 
 9.32 
 
 66.3i 
 
 9.61 
 
 66.26 
 
 9.90 
 
 66.22 
 
 10.19 
 
 66.18 
 
 I0.48 
 
 67 
 
 68 
 
 67.38 
 
 9.17 
 
 67.34 
 
 9.46 
 
 67.30 
 
 9.76 
 
 67.25 
 
 10. o5 
 
 67.21 
 
 10.34 
 
 67.16 
 
 10.64 
 
 68 
 
 69 
 
 68.37 
 
 9.30 
 
 68.33 
 
 9.60 
 
 68.29 
 
 9.90 
 
 68.24 
 
 10.20 
 
 68.20 
 
 10. 5o 
 
 68.15 
 
 10.79 
 
 69 
 
 70 
 
 69.36 
 
 9.44 
 
 69.32 
 
 9.74 
 
 69.28 
 
 10.04 
 
 69.23 
 
 10.35 
 
 69.19 
 
 10.65 
 
 69.14 
 
 10.95 
 
 70 
 
 71 
 
 70.35 
 
 9.57 
 
 70.31 
 
 9.88 
 
 70.27 
 
 10.19 
 
 70.22 
 
 10.49 
 
 70.17 
 
 10.80 
 
 70.13 
 
 11.11 
 
 71 
 
 72 
 
 71.34 
 
 9.71 
 
 71.30 
 
 IO..J2 
 
 71.25 
 
 10.33 
 
 /1. 21 
 
 10.64 
 
 71. i6 
 
 10.95 
 
 71.1 1 
 
 11.26 
 
 72 
 
 73 
 
 72.33 
 
 9-84 
 
 72.29 
 
 10.16 
 
 72.24 
 
 10.47 
 
 72.20 
 
 10.79 
 
 72.15 
 
 1 1. 10 
 
 72.10 
 
 11.42 
 
 73 
 
 74 
 
 73.32 
 
 9-98 
 
 73.28 
 
 10. 3o 
 
 73.23 
 
 10.62 
 
 73.19 
 
 10.94 
 
 73.14 
 
 11.26 
 
 73.09 
 
 11.58 
 
 74 
 
 75 
 
 74.31 
 
 1 
 
 10. II 
 
 74.27 
 
 10.44 
 
 74.22 
 
 10.76 
 
 74.18 
 
 1 1.09 
 
 74.13 
 
 ii.4i 
 
 74.08 
 
 11.73 
 
 75 
 
 76 
 
 75.31 
 
 10.25 
 
 75.26 
 
 10. 58 
 
 75.21 
 
 10.91 
 
 75.17 
 
 11.23 
 
 75.12 
 
 11.56 
 
 75.06 
 
 11.89I 76 
 
 77 
 
 76.30 
 
 I0.38 
 
 76.25 
 
 10.72 
 
 76.20 
 
 ii.o5 
 
 76.15 
 
 11.38 
 
 76.10 
 
 1 1. 71 
 
 76.05 
 
 12. o5 
 
 77 
 
 78 
 
 77.29 
 
 10. 52 77.24 
 
 10.86 
 
 77.19 
 
 11.19 
 
 77.14 
 
 11.53 
 
 77.09 
 
 11.87 
 
 77.o4 
 
 12.20 
 
 78 
 
 79 
 
 78.28 
 
 I0.65 ,78.23 
 
 10.99 
 
 78.18 
 
 11.34 
 
 78.13 
 
 11.68 
 
 78.08 
 
 12.02 
 
 78.03 
 
 12.36 
 
 79 
 
 80 
 
 79.27 
 
 10.79 
 
 79.22 
 
 t i.i3 
 
 79.17 
 
 11.48 
 
 79.12 
 
 11.82 
 
 79.07 
 
 12.17 
 
 79.02 
 
 12. 5i 
 
 80 
 
 81 
 
 80.26 
 
 10.92 
 
 80.21 
 
 11.27 
 
 80. i6 
 
 11.62 
 
 80.11 
 
 11.97 
 
 80.06 
 
 12.32 
 
 80.00 
 
 72.67 
 
 81 
 
 82 
 
 81.25 
 
 11.06 
 
 81.20 
 
 II. 4i 
 
 81. i5 
 
 11.77 
 
 81.10 
 
 12.12 
 
 8i.o5 
 
 12.47 
 
 80.99 
 
 12.83 
 
 82 
 
 83 
 
 82.24 
 
 II. 19 82. IQ 
 
 11.55 
 
 82.14 
 
 II. 91 
 
 82.09 
 
 12.27 
 
 82.03 
 
 12.63 
 
 81.98 
 
 12.98 
 
 83 
 
 84 
 
 83.23 
 
 11.33 
 
 83.18 
 
 11.69 
 
 83.13 
 
 12. o5 
 
 83.08 
 
 12.42 
 
 83.02 
 
 12.78 
 
 82.97 
 
 i3.i4 
 
 84 
 
 85 
 
 84.22 
 
 11.46 
 
 84.17 
 
 11.83 
 
 84.12 
 
 12.20 
 
 84.07 
 
 12.56 
 
 84.0I 
 
 12.93 
 
 83.95 
 
 i3.3o 
 
 85 
 
 86 
 
 85.21 
 
 11.60 
 
 85.16 
 
 11.97 
 
 85.11 
 
 12.34 
 
 85.06 
 
 12.71 
 
 85.00 
 
 1 3.08 
 
 84.94 
 
 i3.45 
 
 86 
 
 87 
 
 86.21 
 
 11.73 
 
 86. i5 
 
 12. 1 1 
 
 86.10 
 
 12.48 
 
 86.04 
 
 12.86 
 
 85.99 
 
 i3.23 
 
 85.93 
 
 i3.6i 
 
 87 
 
 88 
 
 87.20 
 
 11.87 87.14 
 
 12.25 
 
 87.09 
 
 12.63 
 
 87.03 
 
 i3.oi 
 
 86.98 
 
 13.39 
 
 86.92 
 
 13.77 
 
 88 
 
 89 
 
 88.19 
 
 12.00 88.13 
 
 12.39 
 
 88.08 
 
 12.77 
 
 88.02 
 
 i3.i6 
 
 87.96 
 
 i3.54 
 
 87.90 
 
 13.92 
 
 89 
 
 90 
 
 89.18 
 
 12. i4 
 
 89.12 
 
 12.53 
 
 89.07 
 
 12.91 
 
 89.01 
 
 i3.3o 
 
 88.95 
 
 13.69 
 
 88.89 
 
 14.08 
 
 90 
 
 91 
 
 90.17 
 
 12.27 
 
 90.11 
 
 12.66 
 
 90.06 
 
 i3.o6 
 
 90.00 
 
 i3.45 
 
 89.94 
 
 i3.84 
 
 89.88 
 
 14.24 
 
 91 
 
 92 
 
 91.16 
 
 I2.4l 
 
 91.10 
 
 12.80 
 
 91.05 
 
 l3.20 
 
 90.99 
 
 i3.6o 
 
 90.93 
 
 i4.oo 
 
 90.87 
 
 14.39 
 
 92 
 
 93 
 
 92.15 
 
 12.54 
 
 92.09 
 
 12.94 
 
 92.04 
 
 1 3.34 
 
 91.98 
 
 13.75 
 
 91.92 
 
 i4.i5 
 
 91.86 
 
 i4.55 
 
 93 
 
 94 
 
 93.14 
 
 12.68 
 
 93.09 
 
 1 3.08 
 
 93.03 
 
 13.49 
 
 92.97 
 
 13.89 
 
 92.91 
 
 i4.3o 
 
 92.84 
 
 14.70 
 
 94 
 
 95 
 
 94.13 
 
 I2.8l 
 
 94.08 
 
 l3.22 
 
 94.02 
 
 i3.63 
 
 93.96 
 
 i4.o4 
 
 93.89 
 
 14.45 
 
 93.83 
 
 i4.86 
 
 95 
 
 96 
 
 95.12 
 
 12.95 
 
 95.07 
 
 i3.36 
 
 95.01 
 
 13.78 
 
 94.95 
 
 14.19 
 
 94.88 
 
 14.60 
 
 94.82 
 
 l5.02 
 
 r 
 
 96 
 
 97 
 
 96.11 
 
 i3.o8 
 
 96.06 
 
 i3.5o 
 
 96.00 
 
 13.92 
 
 95.93 
 
 14.34 
 
 95.87 
 
 14.76 
 
 95.81 
 
 15.17 
 
 97 
 
 98 
 
 97.10 
 
 l3.22 
 
 97.05 
 
 i3.64 
 
 96.99 
 
 i4.o6 
 
 96.92 
 
 14.49 
 
 96.86 
 
 14.91 
 
 96.79 
 
 
 
 i5.33 
 x5.49 
 
 98 
 
 99 
 
 98.10 
 
 13.35 
 
 q8.o4 
 
 13.78 
 
 97.98 
 
 l4.21 
 
 97.91 
 
 i4.63 
 
 97.85 
 
 1 5.06 
 
 97.78 
 
 99 
 
 100 
 
 99.09 
 
 13.49 
 
 7 ^ 
 
 99.03 
 
 13.92 
 
 98.97 i4.35 
 
 98.90 
 
 14.78 
 
 98.84 
 
 l5.21 
 
 lat. 
 
 98.77 
 
 i5.64 
 
 100 
 
 8 
 
 CO 
 
 (5 
 
 Dep. 
 
 Lat. 
 
 1 Dep. 
 
 IM. 
 
 Dep. Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Dep. 
 
 LaL 
 
 S 
 1 
 
 so 
 
 821^ Deg. 
 
 82 Deg. 
 
 81% Deg. 
 
 81^ 
 
 Deg. 
 
 81^ Deg. 
 
 81 Deg. 
 
148 
 
 
 
 
 T 
 
 BAVEKSE IaBLI 
 
 '• 
 
 
 
 
 
 g 
 
 55' 
 S 
 
 a 
 
 s 
 
 I 
 
 9K Deg. 
 
 9K Deg. 
 
 9% Deg. 
 
 10 Deg. 
 
 10% Deg. 
 
 lOK Deg. 
 
 
 m' 
 5 
 a 
 
 
 a 
 
 1 
 
 Lat. 
 
 Dep. 
 
 I>at. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 0.17 
 
 Lat. 1 Dep. 
 
 Lat. 
 
 Dep. 
 0.18 
 
 Lat. 
 
 Dep. 
 0.18 
 
 0.99 
 1.97 
 2.96 
 3.95 
 4.93 
 
 0.16 
 
 0.99 
 
 0.17 
 
 0.99 
 
 0.98 
 
 0.17 
 
 0.98 
 
 0.98 
 
 2 
 
 0.32 
 
 1.97 
 
 0.33 
 
 1.97 
 
 0.34 
 
 1.97 
 
 0.35 
 
 1.97 
 
 0.36 
 
 1.97 
 
 0.36 
 
 2 
 
 3 
 
 0.48 
 
 2.96 
 
 o.5o 
 
 2.96 
 
 o.5i 
 
 2.95 
 
 0.52 
 
 2.95 
 
 0.53 
 
 2.95 
 
 0.55 
 
 3 
 
 4 
 
 0.64 
 
 3.95 
 
 0.66 
 
 3.94 
 
 0.68 
 
 3.94 
 
 0.69 
 
 3.94 
 
 0.71 
 
 3.93 
 
 0.73 
 
 4 
 
 5 
 
 0.80 
 
 4.93 
 
 0.83 
 
 4.93 
 
 0.85 
 
 4.92 
 
 0.87 
 
 4.92 
 
 0.89 
 
 4.92 
 
 0.91 
 
 5 
 
 6 
 
 5.92 
 6.91 
 7.90 
 
 8.88 
 
 0.96 
 
 5.92 
 
 0.99 
 
 5.91 
 
 1.02 
 
 5.91 
 
 i.o4 
 
 5.90 
 
 1.07 
 
 5.90 
 
 1.09 
 
 6 
 
 7 
 8 
 
 i.i3 
 
 6.90 
 
 1. 16 
 
 6.90 
 
 1. 19 
 
 6.89 
 
 1.22 
 
 6.89 
 
 1.25 
 
 6.88 
 
 1.28 
 
 7 
 
 1.29 
 
 7.89 
 
 1.32 
 
 7.88 
 
 1.35 
 
 7.88 
 
 1.39 
 
 7.87 
 
 1.42 
 
 7.87 
 
 1.46 
 
 8 
 
 9 
 
 10 
 
 1.45 
 
 8.88 
 
 1.49 
 
 8.87 
 
 1.52 
 
 8.86 
 
 1.56 
 
 8.86 
 
 1.60 
 
 8.85 
 
 1.64 
 
 9 
 
 9.87 
 
 1.61 
 
 9.86 
 
 1.65 
 
 9.86 
 
 1.69 
 
 9.85 
 
 1.74 
 
 9.84 
 
 1.78 
 
 9.83 
 
 1.82 
 
 10 
 
 II 
 
 10.86 
 
 1.77 
 
 10.85 
 
 1.82 
 
 I0.84 
 
 1.86 
 
 I0.83 
 
 1.91 
 
 10.82 
 
 1.96 
 
 10.82 
 
 2.00 
 
 II 
 
 12 
 
 11.84 
 
 1.93 
 
 11.84 
 
 1.98 
 
 11.83 
 
 2.o3 
 
 11.82 
 
 2.08 
 
 11.81 
 
 2.l4 
 
 11.80 
 
 2.19 
 
 12 
 
 i3 
 
 12.83 
 
 2.09 
 
 12.82 
 
 2.l5 
 
 12.81 
 
 2.20 
 
 12.80 
 
 2.26 
 
 12.79 
 
 2.3l 
 
 12.78 
 
 2.37 
 
 i3 
 
 i4 
 
 13.82 
 
 2.25 
 
 i3.8i 
 
 2.3l 
 
 i3.8o 
 
 2.37 
 
 13.79 
 
 2.43 
 
 13.78 
 
 2.49 
 
 13.77 
 
 2.55 
 
 i4 
 
 i5 
 
 14.80 
 
 2.4l 
 
 14.79 
 
 2.48 
 
 14.78 
 
 2.54 
 
 14.77 
 
 2.60 
 
 14.76 
 
 2.67 
 
 14.75 
 
 2.73 
 
 i5 
 
 i6 
 
 i5.79 
 
 2.57 
 
 15.78 
 
 2.64 
 
 15.77 
 
 2.71 
 
 15.76 
 
 2.78 
 
 15.74 
 
 2.85 
 
 15.73 
 
 2.92 
 
 16 
 
 I? 
 
 16.78 
 
 2.73 
 
 16.77 
 
 2.81 
 
 16.75 
 
 2.88 
 
 16.74 
 
 2.95 
 
 16.73 
 
 3.o3 
 
 16.72 
 
 3.10 
 
 17 
 
 i8 
 
 17.77 
 
 2.89 
 
 17.75 
 
 2.97 
 
 17.74 
 
 3.o5 
 
 17.73 
 
 3.i3 
 
 17.71 
 
 3.20 
 
 17.70 
 
 3.28 
 
 18 
 
 IQ 
 
 18.75 
 
 3.o5 
 
 18.74 
 
 3.i4 
 
 18.73 
 
 3.22 
 
 18.71 
 
 3.3o 
 
 18.70 
 
 3.38 
 
 18.68 
 
 3.46 
 
 19 
 
 7 
 
 20 
 
 / 
 
 19.74 
 
 3.21 
 
 19.73 
 
 3.3o 
 
 19.71 
 
 3.39 
 
 19.70 
 
 3.47 
 
 19.68 
 
 3.56 
 
 19.67 
 
 3.64 
 
 20 
 
 21 
 
 20.73 
 
 3.38 
 
 20.71 
 
 3.47 
 
 20.70 
 
 3.56 
 
 20.68 
 
 3.65 
 
 20.66 
 
 3.74 
 
 20.65 
 
 3.83 
 
 21 
 
 22 
 
 21.71 
 
 3.54 
 
 21.70 
 
 3.63 
 
 21.68 
 
 3.73 
 
 21.67 
 
 3.82 
 
 21.65 
 
 3.91 
 
 21.63 
 
 4.01 
 
 22 
 
 23 
 
 22.70 
 
 3.70 
 
 22.68 
 
 3.80 
 
 22.67 
 
 3.90 
 
 22.65 
 
 3.99 
 
 22.63 
 
 4.09 
 
 22.61 
 
 4.19 
 
 23 
 
 24 
 
 23.69 
 
 3.86 
 
 23.67 
 
 3.96 
 
 23.65 
 
 4.06 
 
 23.64 
 
 4.17 
 
 23.62 
 
 4.27 
 
 23.60 
 
 4.37 
 
 24 
 
 25 
 
 7 
 
 24.67 
 
 4.02 
 
 24.66 
 
 4.i3 
 
 24.64 
 
 4.23 
 
 24.62 
 
 4.34 
 
 24.60 
 
 4.45 
 
 24.58 
 
 4.56 
 
 25 
 
 26 
 
 25.66 
 
 4.18 
 
 25.64 
 
 4.29 
 
 25.62 
 
 4.4o 
 
 25.61 
 
 4.5i 
 
 25.59 
 
 4.63 
 
 25.56 
 
 4.74 
 
 26 
 
 27 
 
 26.65 
 
 4.34 
 
 26.63 
 
 4.46 
 
 26.61 
 
 4.57 
 
 26.59 
 
 4.69 
 
 26.57 
 
 4.80 
 
 26.55 
 
 4.92 
 
 27 
 
 28 
 
 27.64 
 
 4.5o 
 
 27.62 
 
 4.62 
 
 27.60 
 
 4.74 
 
 27.57 
 
 4.86 
 
 27.55 
 
 4.98 
 
 27.53 
 
 5.10 
 
 28 
 
 29 
 
 28.62 
 
 4.66 
 
 28.60 
 
 4.79 
 
 28.58 
 
 4.91 
 
 28.56 
 
 5.o4 
 
 28.54 
 
 5.16 
 
 28.51 
 
 5.28 
 
 29 
 
 3o 
 
 29.61 
 
 4.82 
 
 29.59 
 
 4.95 
 
 29.57 
 
 5.08 
 
 29.54 
 
 5.21 
 
 29.52 
 
 5.34 
 
 29.50 
 
 5.47 
 
 3o 
 
 3i 
 
 3o.6o 
 
 4.98 
 
 30.57 
 
 5.12 
 
 30.55 
 
 5.25 
 
 30.53 
 
 5.38 
 
 3o.5i 
 
 5.52 
 
 30.48 
 
 5.65 
 
 3i 
 
 32 
 
 31.58 
 
 5.i4 
 
 31.56 
 
 5.28 
 
 31.54 
 
 5.42 
 
 3i.5i 
 
 5.56 
 
 3i.49 
 
 5.69 
 
 31.46 
 
 5.83 
 
 32 
 
 33 
 
 32.57 
 
 5.3o 
 
 32.55 
 
 5.45 
 
 32.52 
 
 5.59 
 
 32. 5o 
 
 5.73 
 
 32.47 
 
 5.87 
 
 32.45 
 
 6.01 
 
 33 
 
 34 
 
 33.56 
 
 5.47 
 
 33.53 
 
 5.61 
 
 33.5i 
 
 5.76 
 
 33.48 
 
 5.90 
 
 33.46 
 
 6.o5 
 
 33.43 
 
 6.20 
 
 34 
 
 35 
 
 34.54 
 
 5.63 
 
 34.52 
 
 5.78 
 
 34.49 
 
 5.93 
 
 34.47 
 
 6.08 
 
 34.44 
 
 6.23 
 
 34.41 
 
 6.38 
 
 35 
 
 36 
 
 35.53 
 
 5.79 
 
 35.5i 
 
 5.94 
 
 35.48 
 
 6.10 
 
 35.45 
 
 6.25 
 
 35.43 
 
 6.4i 
 
 35.40 
 
 6.56 
 
 36 
 
 37 
 
 36.52 
 
 5.95 
 
 36.49 
 
 6.11 
 
 36.47 
 
 6.27 
 
 36.44 
 
 6.42 
 
 36.4i 
 
 6.58 
 
 36.38 
 
 6.74 
 
 37 
 
 38 
 
 37.51 
 
 6.11 
 
 37.48 
 
 6.27 
 
 37.45 
 
 6.44 
 
 37.42 
 
 6.60 
 
 37.39 
 
 6.76 
 
 37.36 
 
 6.92 
 
 38 
 
 39 
 
 38.49 
 
 6.27 
 
 38.47 
 
 6.44 
 
 38.44 
 
 6.60 
 
 38.4i 
 
 6.77 
 
 38.38 
 
 6.94 
 
 38.35 
 
 7.11 
 
 39 
 
 4o 
 
 39.48 
 
 6.43 
 
 39.45 
 
 6.60 
 
 39.42 
 
 6.77 
 
 39.39 
 
 6.95 
 
 39.36 
 
 7.12 
 
 39.33 
 
 7.29 
 
 4o 
 
 4i 
 
 40.47 
 
 6.59 
 
 40.44 
 
 6.77 
 
 4o.4i 
 
 6.94 
 
 4o.38 
 
 7.12 
 
 40.35 
 
 7.3o 
 
 4o.3i 
 
 7.47 
 
 4i 
 
 42 
 
 41.45 
 
 6.75 
 
 41.42 
 
 6.92 
 
 41.39 
 
 7.11 
 
 41.36 
 
 7.29 
 
 41.33 
 
 7.47 
 
 4i.3o 
 
 7.65 
 
 42 
 
 43 
 
 42.44 
 
 6.91 
 
 42.41 
 
 7.10 
 
 42.38 
 
 7.28 
 
 42.35 
 
 7.47 
 
 42. 3i 
 
 7.65 
 
 42.28 
 
 7-84 
 
 43 
 
 44 
 
 43.43 
 
 7.07 
 
 43.40 
 
 7.26 
 
 43.36 
 
 7.45 
 
 43.33 
 
 7.64 
 
 43.3o 
 
 7.83 
 
 43.26 
 
 8.02 
 
 44 
 
 45 
 
 44.41 
 
 7.23 
 
 44.38 
 
 7.43 
 
 44.35 
 
 7.62 
 
 44.32 
 
 7.81 
 
 44.28 
 
 8.01 
 
 44.25 
 
 8.20 
 
 45 
 
 46 
 
 45.40 
 
 7.39 
 
 45.37 
 
 7.59 
 
 45.34 
 
 7-79 
 
 45.3o 
 
 7.99 
 
 45.27 
 
 8.19 
 
 45.23 
 
 8.38 
 
 46 
 
 47 
 
 46.39 
 
 7.55 
 
 46.36 
 
 7.76 
 
 46.32 
 
 7.96 
 
 46.29 
 
 8.16 
 
 46.25 
 
 8.36 
 
 46.21 
 
 8.57 
 
 47 
 
 48 
 
 47.38 
 
 7.72 
 
 47.34 
 
 7.92 
 
 47.31 
 
 8.i3 
 
 47.27 
 
 8.34 
 
 47.23 
 
 8.54 
 
 47.20 
 
 8.75 
 
 48 
 
 49 
 
 48.36 
 
 7.88 
 
 48.33 
 
 8.09 
 
 48.29 
 
 8.3o 
 
 48.26 
 
 8.5i 
 
 48.22 
 
 8.72 
 
 48.18 
 
 8.93 
 
 49 
 
 5o 
 
 8 
 
 m 
 
 a 
 
 49.35 
 
 8.o4 
 Lat. 
 
 49.32 
 
 8.25 
 
 49.28 
 
 8.47 
 
 49.24 
 
 8.68 
 Lat. 
 
 49.20 
 Dep. 
 
 8.90 
 Lat. 
 
 49.16 
 
 9.11 
 Lat. 
 
 5o 
 
 a 
 a 
 
 CO 
 
 Q 
 
 Dep. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Dep. 
 
 80% Deg. 
 
 80K Deg. 
 
 80K Deg. 
 
 80 Deg. 
 
 79% Deg. 
 
 79^ Deg. 
 
 
 
 
 
 
 
 
 
Traverse Table. 
 
 140 
 
 2 
 § 
 
 5i 
 
 934 Deg. 
 
 9}4 Deg. 
 
 9% Deg. 
 
 10 Deg. 
 
 10% Deg. 
 
 103^ Deg. 
 
 
 
 to 
 
 a 
 
 Lat. 
 
 Dep. 
 
 8.20 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 I-at. 
 
 Dep. 
 
 Lat 
 
 Dep. 
 
 5o.34 
 
 5o.3o 
 
 8.42 
 
 5o.26 
 
 8.64 
 
 5o.23 
 
 8.86 
 
 50.19 
 
 9.08 
 
 5o.i5 
 
 9.29 
 
 5i 
 
 52 
 
 5i.32 
 
 8.36 
 
 51.29 
 
 8.58 
 
 5i.25 
 
 8.81 
 
 5 1.2 1 
 
 9.03 
 
 51.17 
 
 9.25 
 
 5i.i3 
 
 9.48 
 
 5 a 
 
 53 
 
 52. 3i 
 
 8.52 
 
 52.27 
 
 8.75 
 
 52.23 
 
 8.98 
 
 52.19 
 
 9.20 
 
 52.15 
 
 9.43 
 
 52.11 
 
 9.66 
 
 53 
 
 54 
 
 53. 3o 
 
 8.68 
 
 53.26 
 
 8.91 
 
 53.22 
 
 9.14 
 
 53.18 
 
 9.38 
 
 53.14 
 
 9.61 
 
 53.10 
 
 9.84 
 
 54 
 
 55 
 
 54.28 
 
 8.84 
 
 54.25 
 
 9.08 
 
 54.21 
 
 9.3i 
 
 54.16 
 
 9.55 
 
 54.12 
 
 9-79 
 
 54.08 
 
 10.02 
 
 55 
 
 56 
 
 55.27 
 
 9.00 
 
 55.23 
 
 9.24 
 
 55.19 
 
 9-48 
 
 55.15 
 
 9.72 
 
 55.11 
 
 9.96 
 
 55.06 
 
 10.21 
 
 56 
 
 5? 
 
 56.26 
 
 9.16 
 
 56.22 
 
 9.41 
 
 56.18 
 
 9.65 
 
 56.13 
 
 9.90 
 
 56.09 
 
 10.14 
 
 56.05 
 
 10.39 
 
 5? 
 
 58 
 
 57.25 
 
 9.32 
 
 57.20 
 
 9.57 
 
 57.16 
 
 9.82 
 
 57.12 
 
 10.07 
 
 57.07 
 
 10.32 
 
 57.03 
 
 10.57 
 
 58 
 
 59 
 
 58.23 
 
 9-48 
 
 58.19 
 
 9.74 
 
 58. i5 
 
 9-99 
 
 58.10 
 
 10.25 
 
 58.06 
 
 10. 5o 
 
 58.01 
 
 10.75 
 
 59 
 
 60 
 
 59.22 
 
 9-64 
 
 59.18 
 
 9.90 
 
 59.13 
 
 10.16 
 
 09.09 
 
 10.42 
 
 59.04 
 
 10.68 
 
 59.00 
 
 10,93 
 
 60 
 
 61 
 
 60.21 
 
 9.81 
 
 60.16 
 
 10.07 
 
 60.12 
 
 10.33 
 
 60.07 
 
 10.59 
 
 6o.o3 
 
 10.85 
 
 59.98 
 
 1 1.12 
 
 61 
 
 62 
 
 61.19 
 
 9-97 
 
 61. i5 
 
 10. 23 
 
 61.10 
 
 10. 5o 
 
 61.06 
 
 10.77 
 
 61.01 
 
 1 i.o3 
 
 60.96 
 
 11. 3o 
 
 62 
 
 63 
 
 62.18 
 
 io.i3 
 
 62.14 
 
 10. 4o 
 
 62.09 
 
 10.67 
 
 62.04 
 
 10.94 
 
 61.99 
 
 11.21 
 
 61.95 
 
 11.48 
 
 63 
 
 64 
 
 63.17 
 
 10.29 
 
 63.12 
 
 I0.56 
 
 63.o8 
 
 10.84 
 
 63.03 
 
 11.11 
 
 62.98 
 
 11.39 
 
 62.93 
 
 11.66 
 
 64 
 
 65 
 
 64.15 
 
 10.45 
 
 64.11 
 
 10.73 
 
 64.06 
 
 II. 01 
 
 64.01 
 
 1 1.29 
 
 63.96 
 
 11.57 
 
 63.91 
 
 11.85 
 
 65 
 
 66 
 
 65.14 
 
 10 61 
 
 65.09 
 
 10.89 
 
 65.05 
 
 II. 18 
 
 65. 00 
 
 11.46 
 
 64.95 
 
 11.74 
 
 64.89 
 
 12. o3 
 
 66 
 
 67 
 
 66.13 
 
 10.77 
 
 66.08 
 
 11.06 
 
 66.o3 
 
 11.35 
 
 65.98 
 
 11.63 
 
 65.93 
 
 11.92 
 
 65.88 
 
 12.21 
 
 67 
 
 68 
 
 67.12 
 
 10.93 
 
 67.07 
 
 11.22 
 
 67.02 
 
 11.52 
 
 66.97 
 
 11.81 
 
 66. gi 
 
 12.10 
 
 66.86 
 
 12.39 
 
 68 
 
 69 
 
 68.10 
 
 11.09 
 
 68.o5 
 
 11.39 
 
 68.00 
 
 11.69 
 
 67.95 
 
 11.98 
 
 67.90 
 
 12.28 
 
 67.84 
 
 12.57 
 
 69 
 
 70 
 
 69.09 
 
 11.25 
 
 69.04 
 
 11.55 
 
 68.99 
 
 11.85 
 
 68.94 
 
 12.16 
 
 68.88 
 
 12.46 
 
 68.83 
 
 12.76 
 
 70 
 
 71 
 
 70.08 
 
 ir.4i 
 
 70.03 
 
 11.72 
 
 69.97 
 
 12.02 
 
 69.92 
 
 12.33 
 
 69.87 
 
 12.63 
 
 69.81 
 
 12.94 
 
 71 
 
 72 
 
 71.06 
 
 11.57 
 
 71.01 
 
 11.88 
 
 70.96 
 
 12.19 
 
 70.91 
 
 12. 5o 
 
 70.85 
 
 12.81 
 
 70.79 
 
 l3.I2 
 
 72 
 
 73 
 
 72.05 
 
 11.73 
 
 72.00 
 
 12. o5 
 
 71.95 
 
 12.36 
 
 71.89 
 
 12.68 
 
 71.83 
 
 12.99 
 
 71.78 
 
 i3.3o 
 
 73 
 
 74 
 
 73.04 
 
 11.89 
 
 72.99 
 
 12.21 
 
 72.93 
 
 12.53 
 
 72.88 
 
 12.85 
 
 72.82 
 
 13.17 
 
 72.76 
 
 13.49 
 
 74 
 
 75 
 
 74.02 
 
 12.06 
 
 73.97 
 
 12.38 
 
 73.92 
 
 12.70 
 
 73.86 
 
 l3.02 
 
 73.80 
 
 i3.35 
 
 73.74 
 
 13.67 
 
 75 
 
 76 
 
 75.01 
 
 12.22 
 
 74.96 
 
 12.54 
 
 74.90 
 
 12.87 
 
 74.85 
 
 l3.20 
 
 74.79 
 
 i3.52 
 
 74.73 
 
 13.85 
 
 76 
 
 77 
 
 76.00 
 
 12.38 
 
 75.94 
 
 12.71 
 
 75.89 
 
 i3.o4 
 
 75.83 
 
 13.37 
 
 75.77 
 
 13.70 
 
 75.71 
 
 i4.o3 
 
 77 
 
 78 
 
 76.99 
 
 12.54 
 
 76.93 
 
 12.87 
 
 76.87 
 
 l3.2I 
 
 76.82 
 
 i3.54 
 
 76.76 
 
 1 3.88 
 
 76.69 
 
 14.21 
 
 78 
 
 79 
 
 77-97 
 
 12.70 
 
 77.92 
 
 i3.o4 
 
 77.86 
 
 i3.38 
 
 77.80 
 
 13.72 
 
 77-74 
 
 14.06 
 
 77.68 
 
 i4.4o 
 
 79 
 
 80 
 
 78.96 
 
 12.86 
 
 78.90 
 
 l3.20 
 
 78.84 
 
 i3.55 
 
 78.78 
 
 13.89 
 
 78.72 
 
 14.24 
 
 78.66 
 
 i4.58 
 
 80 
 
 81 
 
 79.95 
 
 l3.02 
 
 79.89 
 
 13.37 
 
 79.83 
 
 13.72 
 
 79-77 
 
 14.07 
 
 79-7' 
 
 i4.4i 
 
 79.64 
 
 14.-76 
 
 81 
 
 82 
 
 80.93 
 
 i3.i8 
 
 80.88 
 
 i3.53 
 
 80.82 
 
 13.89 
 
 80.75 
 
 14.24 
 
 80.69 
 
 14.59 
 
 80.63 
 
 14.94 
 
 82 
 
 83 
 
 81.92 
 
 i3.34 
 
 81.86 
 
 13.70 
 
 81.80 
 
 14.06 
 
 81.74 
 
 i4.4i 
 
 81.68 
 
 14.77 
 
 81.61 
 
 i5.i3 
 
 83 
 
 84 
 
 82.91 
 
 i3.5o 
 
 82.85 
 
 i3.86 
 
 82.79 
 
 l4.23 
 
 82.72 
 
 14.59 
 
 82.66 
 
 14.95 
 
 82.59 
 
 i5.3i 
 
 84 
 
 85 
 
 83.89 
 
 i3.66 
 
 83.83 
 
 i4.o3 
 
 83.77 
 
 14.39 
 
 83.71 
 
 14.76 
 
 83.64 
 
 i5.i3 
 
 83.58 
 
 i5.49 
 
 85 
 
 86 
 
 84.88 
 
 13.82 
 
 84.82 
 
 14.19 
 
 84.76 
 
 14.56 
 
 84.69 
 
 14.93 
 
 84.63 
 
 i5.3o 
 
 84.56 
 
 15.67 
 
 86 
 
 87 
 
 85.87 
 
 13.98 
 
 85.8i 
 
 i4.36 
 
 85.74 
 
 14.73 
 
 85.68 
 
 i5.u 
 
 85.6i 
 
 i5.48 
 
 85.54 
 
 i5.85 
 
 87 
 
 88 
 
 86.86 
 
 i4.i5 
 
 86.79 
 
 i4.52 
 
 86.73 
 
 14.90 
 
 86.66 
 
 i5.28 
 
 86.60 
 
 i5.66 
 
 86.53 
 
 16.04 
 
 88 
 
 89 
 
 87.84 
 
 i4.3i 
 
 87.78 
 
 14.69 
 
 87.71 
 
 i5.07 
 
 87.65 
 
 i5.45 
 
 87.58 
 
 1 5.84 
 
 87.51 
 
 16.22 
 
 89 
 
 90 
 
 88.83 
 
 14.47 
 
 88.77 
 
 i4.85 
 
 88.70 
 
 i5.24 
 
 88.63 
 
 15.63 
 
 88.56 
 
 16.01 
 
 88.49 
 
 16.40 
 
 90 
 
 91 
 
 89.82 
 
 i4.63 
 
 89.75 
 
 l5.02 
 
 89.69 
 
 i5.4i 
 
 89.62 
 
 i5.8o 
 
 89.55 
 
 16.19 
 
 89.48 
 
 i6.58 
 
 91 
 
 92 
 
 90.80 
 
 14.79 
 
 90.74 
 
 i5.i8 
 
 90.67 
 
 i5.58 
 
 90.60 
 
 15.98 
 
 90.53 
 
 16.37 
 
 90.46 
 
 16.77 
 
 92 
 
 93 
 
 91.79 
 
 14.95 
 
 91.72 
 
 i5.35 
 
 91.66 
 
 15.75 
 
 91.59 
 
 16. i5 
 
 91.52 
 
 16.55 
 
 91.44 
 
 16.95 
 
 93 
 
 94 
 
 92.78 
 
 i5.li 
 
 92.71 
 
 i5.5i 
 
 92.64 
 
 15.92 
 
 92.57 
 
 16.32 
 
 92.50 
 
 ib.73 
 
 92.43 
 
 17.13 
 
 94 
 
 95 
 
 93.76 
 
 15.27 
 
 93.70 
 
 i5.68 
 
 93.63 
 
 16.09 
 
 93.56 
 
 i6.5ol 
 
 93.48 
 
 16.90 
 
 93.41 
 
 17.31 
 
 95 
 
 96 
 
 94.75 
 
 i5.43 
 
 94.68 
 
 i5.84 
 
 94.61 
 
 16.26 
 
 94.54 
 
 16.67 
 
 94.47 
 
 17.08 
 
 94.39 
 
 17.49 
 
 96 
 
 97 
 
 95.74 
 
 15.59 
 
 95.67 
 
 16.01 
 
 95.60 
 
 16.43 
 
 95.53 
 
 i6.84| 
 
 95.45 
 
 17.26 
 
 95.38 
 
 17.68 
 
 97 
 
 98 
 
 96.73 
 
 15.75 
 
 96.66 
 
 16.17 
 
 96.58 
 
 16.60 
 
 96.51 
 
 17.02 
 
 96.44 
 
 17-44 
 
 96.36 
 
 17.86 
 
 98 
 
 99 
 
 97.71 
 
 15.91 
 
 97.64 
 
 16.34 
 
 97.57 
 
 16.77 
 
 97. 5o 
 
 17.19 
 
 97.42 
 
 17.62 
 
 97.34 
 
 18. o4 
 
 99 
 
 100 
 
 98.70 
 
 16.07 
 
 98.63 
 
 i6.5o 
 
 98.56 
 
 16.93 
 
 98.48 
 
 17.36 
 
 98.40 
 
 17.79 
 
 98.33| 
 
 18.22 
 
 100 
 
 
 
 a 
 a 
 
 a 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat 
 
 Dep. 
 
 Lat. 
 
 Dep. Lat. 
 
 Dep. 1 Lat 
 
 § 
 
 CO 
 
 Q 
 
 80% Deg. 
 
 80}4 Deg. 
 
 80% Deg. 
 
 80 Deg. 
 
 79% Deg. 
 
 79K Deg. 
 
15C 
 
 > 
 
 
 
 
 Traverse T 
 
 ABLE. 
 
 
 
 
 
 1 
 
 10% Deg. 
 
 11 Deg. 
 
 IIM Deg. 
 
 UK Deg. 
 
 11% Deg. 
 
 12 Deg. 
 
 
 
 u' 
 
 a 
 
 Lat 
 
 Dep. 
 0,19 
 
 Lat. 
 
 Dep. 
 0.19 
 
 Lat. 
 
 Dep. 
 0.20 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 0.20 
 
 Lat. 
 
 Dep. 
 
 I 
 
 0.98 
 
 0.98 
 
 0.98 
 
 0.98 
 
 0.20 
 
 0.98 
 
 0.98 
 
 0,21 
 
 I 
 
 2 
 
 1.96 
 
 0.37 
 
 1.96 
 
 0.38 
 
 1.96 
 
 0.39 
 
 1.96 
 
 o.4o 
 
 1,96 
 
 0.4 1 
 
 1.96 
 
 0.42 
 
 2 
 
 3 
 
 2.95 
 
 0.56 
 
 2.94 
 
 0.57 
 
 2.94 
 
 0.59 
 
 2.94 
 
 0.60 
 
 2.94 
 
 0.61 
 
 2.93 
 
 0.62 
 
 3 
 
 4 
 
 3.93 
 
 0.75 
 
 3.93 
 
 0.76 
 
 3.92 
 
 0.78 
 
 3.92 
 
 0,80 
 
 3.92 
 
 0.82 
 
 3.91 
 
 0.83 
 
 4 
 
 5 
 
 4.91 
 
 0.93 
 
 4.91 
 
 0.95 
 
 4.90 
 
 0.98 
 
 4.90 
 
 1. 00 
 
 4.90 
 
 1.02 
 
 4.89 
 
 i.o4 
 
 5 
 
 6 
 
 5.89 
 
 1. 12 
 
 5.89 
 
 i.i4 
 
 5.88 
 
 1.17 
 
 5.88 
 
 1.20 
 
 5,87 
 
 1.22 
 
 5.87 
 
 1.25 
 
 6 
 
 7 
 
 6.88 
 
 i.3i 
 
 6.87 
 
 1.34 
 
 6.87 
 
 1.37 
 
 6.86 
 
 i.4o 
 
 6.85 
 
 1.43 
 
 6.85 
 
 1.46 
 
 7 
 
 8 
 
 7.86 
 
 1.49 
 
 7.85 
 
 1.53 
 
 7.85 
 
 1.56 
 
 7.84 
 
 1.59 
 
 7.83 
 
 1.63 
 
 7.83 
 
 1.66 
 
 8 
 
 9 
 
 8.84 
 
 1.68 
 
 8.83 
 
 1.72 
 
 8.83 
 
 1.76 
 
 8.82 
 
 1.79 
 
 8.81 
 
 1.83 
 
 8.80 
 
 1.87 
 
 9 
 
 lO 
 
 9.82 
 
 1.87 
 
 9.82 
 
 1. 91 
 
 9.81 
 
 1.95 
 
 9.80 
 
 1.99 
 
 9-79 
 
 2.o4 
 
 9.78 
 
 2.08 
 
 10 
 
 II 
 
 io.8i 
 
 2.o5 
 
 10.80 
 
 2.10 
 
 10.79 
 
 2.l5 
 
 10.78 
 
 2.19 
 
 10.77 
 
 2.24 
 
 10.76 
 
 2.29 
 
 11 
 
 12 
 
 11.79 
 
 2.24 
 
 11.78 
 
 2.29 
 
 11.77 
 
 2.34 
 
 11.76 
 
 2.39 
 
 1 1.75 
 
 2.44 
 
 11.74 
 
 2.49 
 
 12 
 
 i3 
 
 12.77 
 
 2.42 
 
 12.76 
 
 2.48 
 
 12.75 
 
 2.54 
 
 12.74 
 
 2.59 
 
 12.73 
 
 2.65 
 
 12.72 
 
 2.70 
 
 i3 
 
 i4 
 
 i3.7o 
 
 2.61 
 
 13.74 
 
 2.67 
 
 13.73 
 
 2.73 
 
 13.72 
 
 2.79 
 
 13.71 
 
 2.85 
 
 13.69 
 
 2.91 
 
 i4 
 
 i5 
 
 14.74 
 
 2,80 
 
 14.72 
 
 2.86 
 
 14.71 
 
 2.93 
 
 14.70 
 
 2.99 
 
 14.69 
 
 3.06 
 
 14.67 
 
 3.12 
 
 i5 
 
 i6 
 
 15.72 
 
 2.98 
 
 15.71 
 
 3.o5 
 
 15.69 
 
 3.12 
 
 1 5.68 
 
 3.19 
 
 i5.66 
 
 3.26 
 
 i5.65 
 
 3.33 
 
 16 
 
 I? 
 
 16.70 
 
 3.17 
 
 16.69 
 
 3.24 
 
 16.67 
 
 3.32 
 
 16.66 
 
 3.39 
 
 16.64 
 
 3.46 
 
 i6.63 
 
 3.53 
 
 17 
 
 i8 
 
 17.68 
 
 3.36 
 
 17.67 
 
 3.43 
 
 17.65 
 
 3.5i 
 
 17.64 
 
 3.59 
 
 17.62 
 
 3.66 
 
 17.61 
 
 3.74 
 
 18 
 
 '9 
 
 18.67 
 
 3.54 
 
 i8.65 
 
 3.63 
 
 18.63 
 
 3.71 
 
 18.62 
 
 3.79 
 
 18.60 
 
 3.87 
 
 18.58 
 
 3.95 
 
 19 
 
 20 
 
 19.65 
 
 3.73 
 
 19.63 
 
 3.82 
 
 19.62 
 
 3.90 
 
 19.60 
 
 3.99 
 
 19.58 
 
 4.07 
 
 19,56 
 
 4.16 
 
 20 
 
 21 
 
 20.63 
 
 3.92 
 
 20.61 
 
 4.01 
 
 20.60 
 
 4.10 
 
 20.58 
 
 4.19 
 
 20.56 
 
 4.28 
 
 20.54 
 
 4.37 
 
 21 
 
 22 
 
 21.61 
 
 4.10 
 
 21.60 
 
 4.20 
 
 21.58 
 
 4.29 
 
 21.56 
 
 4.39 
 
 21.54 
 
 4.48 
 
 21.52 
 
 4.57 
 
 22 
 
 23 
 
 22.60 
 
 4.29 
 
 22.58 
 
 4.39 
 
 22.56 
 
 4.49 
 
 22.54 
 
 4.59 
 
 22.52 
 
 4.68 
 
 22. 5o 
 
 4.78 
 
 23 
 
 24 
 
 23.58 
 
 4.48 
 
 23.56 
 
 4.58 
 
 23.54 
 
 4.68 
 
 23.52 
 
 4.78 
 
 23. 5o 
 
 4.89 
 
 2 3.48 
 
 4.99 
 
 24 
 
 25 
 
 24.56 
 
 4.66 
 
 24.54 
 
 4.77 
 
 24-52 
 
 4.88 
 
 24. 5o 
 
 4.98 
 
 24.48 
 
 5.09 
 
 24.45 
 
 5.20 
 
 25 
 
 26 
 
 25.54 
 
 4.85 
 
 25.52 
 
 4.96 
 
 25. 5o 
 
 5.07 
 
 25.48 
 
 5.18 
 
 25.46 
 
 5.3o 
 
 25.43 
 
 5.4i 
 
 26 
 
 27 
 
 26.53 
 
 5.04 
 
 26.50 
 
 5.i5 
 
 26.48 
 
 5.27 
 
 26.46 
 
 5.38 
 
 26.43 
 
 5.5o 
 
 26.41 
 
 5.61 
 
 27 
 
 28 
 
 27.51 
 
 5.22 
 
 27.49 
 
 5.34 
 
 27.46 
 
 5.46 
 
 27.44 
 
 5.58 
 
 27.41 
 
 5.70 
 
 27.39 
 
 5.82 
 
 28 
 
 29 
 
 28,49 
 
 5.4i 
 
 28.47 
 
 5.53 
 
 28.44 
 
 5.66 
 
 28.42 
 
 5.78 
 
 28.39 
 
 5.91 
 
 28.37 
 
 6.o3 
 
 29 
 
 3o 
 
 29.47 
 
 5.60 
 
 29.45 
 
 5.72 
 
 29.42 
 
 5.85 
 
 29.40 
 
 5.98 
 
 29.37 
 
 6.11 
 
 29.34 
 
 6.24 
 
 3o 
 
 3i 
 
 3o.46 
 
 5.78 
 
 3o.43 
 
 5.92 
 
 3o.4o 
 
 6.o5 
 
 30.38 
 
 6.18 
 
 30.35 
 
 6.3i 
 
 3o.32 
 
 6.45 
 
 3i 
 
 32 
 
 31.44 
 
 5.97 
 
 3i.4i 
 
 6.11 
 
 31.39 
 
 6.24 
 
 3i.36 
 
 6.38 
 
 3i.33 
 
 6.52 
 
 3i.3o 
 
 6.65 
 
 32 
 
 33 
 
 32.42 
 
 6.16 
 
 32.39 
 
 6.3o 
 
 32.37 
 
 6.44 
 
 32.34 
 
 6.58 
 
 32.3i 
 
 6.72 
 
 32.28 
 
 6.86 
 
 33 
 
 34 
 
 33.40 
 
 6.34 
 
 33.38 
 
 6.49 
 
 33.35 
 
 6.63 
 
 33.32 
 
 6.78 
 
 33.29 
 
 6.92 
 
 33.26 
 
 7.07 
 
 34 
 
 35 
 
 34.39 
 
 6.53 
 
 34.36 
 
 6.68 
 
 34.33 
 
 6.83 
 
 34.3o 
 
 6.98 
 
 34.27 
 
 7.13 
 
 34.24 
 
 7.28 
 
 35 
 
 36 
 
 35.37 
 
 6.71 
 
 35.34 
 
 6.87 
 
 35. 3i 
 
 7.02 
 
 35.28 
 
 7.18 
 
 35.25 
 
 7.33 
 
 35.21 
 
 7.48 
 
 36 
 
 37 
 
 36.35 
 
 6.90 
 
 36.32 
 
 7.06 
 
 36.29 
 
 7.22 
 
 36.26 
 
 7.38 
 
 36.22 
 
 7.53 
 
 36.19 
 
 7.69 
 
 37 
 
 38 
 
 37.33 
 
 7.09 
 
 37.30 
 
 7.25 
 
 37.27 
 
 7.41 
 
 37.24 
 
 7.58 
 
 37.20 
 
 7-74 
 
 37.17 
 
 7.90 
 
 38 
 
 39 
 
 38.32 
 
 7.27 
 
 38.28 
 
 7-44 
 
 38.25 
 
 7.61 
 
 38.22 
 
 7.78 
 
 38.18 
 
 7.94 
 
 38. i5 
 
 8.11 
 
 39 
 
 4o 
 
 39.30 
 
 7.46 
 
 39.27 
 
 7.63 
 
 39.23 
 
 7.80 
 
 39.20 
 
 7.97 
 
 39.16 
 
 8.i5 
 
 39.13 
 
 8.32 
 
 4o 
 
 4i 
 
 40.28 
 
 7.65 
 
 4o.25 
 
 7.82 
 
 4o.2I 
 
 8.00 
 
 4o.i8 
 
 8.17 
 
 4o.i4 
 
 8.35 
 
 4o.io 
 
 8.52 
 
 4i 
 
 42 
 
 41.26 
 
 7.83 
 
 4l.23 
 
 8.01 
 
 41.19 
 
 8.19 
 
 41.16 
 
 8.37 
 
 41.12 
 
 8.55 
 
 41.08 
 
 8.73 
 
 42 
 
 43 
 
 42.25 
 
 8.02 
 
 42.21 
 
 8.20 
 
 42.17 
 
 8.39 
 
 42.14 
 
 8.57 
 
 42.10 
 
 8.76 
 
 42.06 
 
 8.94 
 
 43 
 
 44 
 
 43.23 
 
 8.21 
 
 43.19 
 
 8.4o 
 
 43. i5 
 
 8.58 
 
 43.12 
 
 8.77 
 
 43.08 
 
 8.96 
 
 43.04 
 
 9.15 
 
 44 
 
 45 
 
 44.21 
 
 8.39 
 
 44.17 
 
 8.59 
 
 44.14 
 
 8.78 
 
 44.10 
 
 8.97 
 
 44.06 
 
 9,16 
 
 44.02 
 
 9.36 
 
 45 
 
 46 
 
 45.19 
 
 8.58 
 
 45.i5 
 
 8.78 
 
 45.12 
 
 8.97 
 
 45.08 
 
 9.17 
 
 45.04 
 
 9.37 
 
 44.99 
 
 9.56 
 
 46 
 
 47 
 
 46.18 
 
 8.77 
 
 46.14 
 
 8.97 
 
 46.10 
 
 9.17 
 
 46.06 
 
 9.37 
 
 46.02 
 
 9.57 
 
 45.97 
 
 9-77 
 
 47 
 
 48 
 
 47.16 
 
 8.95 
 
 47.12 
 
 9.16 
 
 47.08 
 
 9.36 
 
 47.04 
 
 9.57 
 
 46.99 
 
 9.78 
 
 46.95 
 
 9.98 
 
 48 
 
 49 
 
 48.14 
 
 9-14 
 
 48. 10 
 
 9.35 
 
 48.06 
 
 9.56 
 
 48.02 
 
 9-77 
 
 47-97 
 
 9.98 
 
 47-93 
 
 10.19 
 
 49 
 
 5o 
 
 49.12 
 
 9.33 
 
 49.08 
 
 9-54 
 
 Lat 
 
 49.04 
 
 9.75 
 
 49.00 
 
 9-97 
 
 48.95 
 
 10.18 
 
 48.91 
 
 10.40 
 
 5o 
 
 1" 
 
 Q 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 8 
 
 1 
 
 
 
 79% Deg. 
 
 79 Deg. 
 
 785^ Deg. 
 
 78K Deg. 
 
 78% 
 
 Deg. 
 
 78 1 
 
 )eg. 
 

 
 
 
 T 
 
 RAV 
 
 ERSE Table. 
 
 
 
 
 151 
 
 5 
 
 m 
 
 a 
 
 10% Beg. 
 
 11 Deg. 
 
 11% Deg, 
 
 11)^ Deg. 
 
 11% Deg. 
 
 12 Deg. 
 
 3 
 
 Lat. 
 
 Dep. 
 
 9.5i 
 
 Lat. 
 
 Dep. 
 9.73 
 
 Lat. { Dep. | 
 
 Lat. 
 
 Dep. 
 
 lAt. 
 49.93 
 
 Dep. 
 10.39 
 
 I.at. 1 Dep. 
 
 5i 
 
 5o.IO 
 
 5o.o6 
 
 5o.o2 
 
 9.95 
 
 49.98 
 
 10.17 
 
 49.89 
 
 10.60 
 
 5i 
 
 52 
 
 51.09 
 
 9.70 
 
 5i.o4 
 
 9.92 
 
 5 1, 00 
 
 10.14 
 
 50.96 
 
 10.37 
 
 50.91 
 
 10.59 
 
 5o.86 
 
 10.81 
 
 52 
 
 53 
 
 52.07 
 
 9.89; 
 
 52.o3 
 
 10. II 
 
 51.98 
 
 10.34 
 
 51.94 
 
 10.57 
 
 51.89 
 
 10.79 
 
 5i.84 
 
 1 1.02 
 
 53 
 
 54 
 
 53.05 
 
 io.o7| 
 
 53.01 
 
 10. 3o 
 
 52.96 
 
 10.53 
 
 52.92 
 
 10.77 
 
 52.87 
 
 11.00 
 
 52.82 
 
 11.23 
 
 54 
 
 55 
 
 54.08 
 
 10.26 
 
 53.99 
 
 10.49 
 
 53,94 
 
 10.73 
 
 53.90 
 
 10.97 
 
 53.85 
 
 11.20 
 
 53.80 
 
 11.44 
 
 55 
 
 56 
 
 55.02 
 
 10.45 
 
 54.97 
 
 10.69 
 
 54.92 
 
 10.93 
 
 54.88 
 
 II. 16 
 
 54.83 
 
 ii.4o 
 
 54.78 
 
 11.64 
 
 66 
 
 5? 
 
 56. 00 
 
 10.63, 
 
 55.95 
 
 to.88 
 
 55.90 
 
 II. 12 
 
 55.86 
 
 11.36 
 
 55.81 
 
 II. 61 
 
 55.75 
 
 11.85 
 
 57 
 
 58 
 
 56.98 
 
 I0.82' 
 
 56.93 
 
 11.07 
 
 56.89 
 
 11.32 
 
 56.84 
 
 11.56 
 
 56.78 
 
 II.81 
 
 66.73 
 
 12.06 
 
 68 
 
 59 
 
 57.96 
 
 11.00 
 
 57.92 
 
 11.26 
 
 57.87 
 
 ii.5i 
 
 57.82 
 
 1 1. 761 
 
 57.76 
 
 12.01 
 
 67.7; 
 
 12.27 
 
 59 
 
 6o 
 
 58.95 
 
 II. 19 
 
 58.90 
 
 ti.45 
 
 58.85 
 
 II. 71 
 
 58.8o 
 
 11.96 
 
 58,74 
 
 12.22 
 
 68.69 
 
 12.47 
 
 60 
 
 6i 
 
 59.93 
 
 11.38 
 
 59.88 
 
 11.64 
 
 59.83 
 
 1 1.90 
 
 59.78 
 
 12.16 
 
 59.72 
 
 12.42 
 
 69.67 
 
 12.68 
 
 61 
 
 62 
 
 60.91 
 
 11.56 
 
 60.86 
 
 11.83 
 
 60.81 
 
 12.10 
 
 60.76 
 
 12.36 
 
 60.70 
 
 12.63 
 
 6o.65 
 
 12.89 
 
 62 
 
 63 
 
 61.89 
 
 11.75; 
 
 61.84 
 
 12.03 
 
 61.79 
 
 12.29 
 
 61.74 
 
 12.56 
 
 61.68 
 
 12.83 
 
 61.62 
 
 i3.io 
 
 63 
 
 64 
 
 62.88 
 
 11.94; 
 
 62.82 
 
 12.21 
 
 62.77 
 
 12.49 
 
 62.72 
 
 12.76 
 
 62.66 
 
 i3.o3 
 
 62.60 
 
 i3.3i 
 
 64 
 
 65 
 
 63.86 
 
 12.12' 
 
 63.8i 
 
 12.40 
 
 1 
 
 63.75 
 
 12.68 
 
 63.70 
 
 12,96 
 
 63.64 
 
 i3.24 
 
 63.68 
 
 i3.5i 
 
 65 
 
 66 
 
 64.84 
 
 12. 3i 
 
 64.79 
 
 1 
 12.59 
 
 64.73 
 
 12.88 
 
 64.68 
 
 i3.i6 
 
 64.62 
 
 1 3.44 
 
 64.66 
 
 13.72 
 
 66 
 
 67 
 
 65.82 
 
 12. 5o 
 
 65.77 
 
 12.78 
 
 65.71 
 
 13.07 
 
 65.66 
 
 i3.36 
 
 65.6o 
 
 i3.64 
 
 65.64 
 
 13.93 
 
 67 
 
 68 
 
 66. 8i 
 
 12.68 
 
 66.75 
 
 12,98! 
 
 66.69 
 
 13.27 
 
 66.63 
 
 13.56 
 
 66.58 
 
 i3.85 
 
 66.5i 
 
 i4.i4 
 
 68 
 
 69 
 
 67.79 
 
 12.87 
 
 67.73 
 
 i3.i7i 
 
 67.67 
 
 i3.46 
 
 67.61 
 
 13.76 
 
 67.55 
 
 i4.o5 
 
 67.49 
 
 14.35 
 
 69 
 
 70 
 
 68.77 
 
 1 3.06 
 
 1 
 
 68.71 
 
 i3,36 
 
 68.66 
 
 13.66 
 
 68.59 
 
 13.96 
 
 68,53 
 
 14.25 
 
 68.47 
 
 14.66 
 
 70 
 
 71 
 
 69.75 
 
 l3.24 
 
 69.70 
 
 i3.55 
 
 69.64 
 
 i3.85 
 
 69.57 
 
 14.16 
 
 69.51 
 
 14.46 
 
 69.46 
 
 14.76 
 
 71 
 
 72 
 
 70.74 
 
 i3.43 
 
 70.68 
 
 13.74 
 
 70.62 
 
 i4.o5 
 
 70.55 
 
 i4.35 
 
 70.49 
 
 14.66 
 
 70.43 
 
 14.97 
 
 72 
 
 73 
 
 71.72 
 
 i3.62 
 
 71.66 
 
 13.93 
 
 71.60 
 
 14.24 
 
 71.53 
 
 14.55 
 
 71.47 
 
 14.87 
 
 71.40 
 
 16.18 
 
 73 
 
 74 
 
 72.70 
 
 i3.8o 
 
 72.64 
 
 l4.I2 
 
 72.58 
 
 14.44 
 
 72. 5i 
 
 14.75 
 
 7'2.45 
 
 16.07 
 
 72.38 
 
 16.39 
 
 74 
 
 75 
 
 73.68 
 
 13.99 
 
 73.62 
 
 i4.3i 
 
 73.56 
 
 i4.63 
 
 73.49 
 
 14.95 
 
 73.43 
 
 15.27 
 
 73.36 
 
 16.69 
 
 75 
 
 76 
 
 74.67 
 
 14.18 
 
 74.60 
 
 i4.5o 
 
 74.54 
 
 i4.83 
 
 74.47 
 
 i5.i5 
 
 74.41 
 
 i5.48 
 
 74.34 
 
 16.80 
 
 76 
 
 77 
 
 75.65 
 
 i4.36 
 
 75.59 
 
 14.69 
 
 75.52 
 
 l5.02 
 
 75.45 
 
 i5.35 
 
 75.39 
 
 i5.68 
 
 76.32 
 
 16.01 
 
 77 
 
 78 
 
 76.63 
 
 14.55 
 
 76.57 
 
 14.88 
 
 76.50 
 
 l5.22 
 
 76.43 
 
 i5.55 
 
 76.37 
 
 i5.88 
 
 76.30 
 
 16.22 
 
 78 
 
 79 
 
 77.61 
 
 14.74 
 
 77.55 
 
 15.07 
 
 77.48 
 
 i5.4i 
 
 77.41 
 
 15.75 
 
 77.34 
 
 16.09 
 
 77.27 
 
 16.43 
 
 79 
 
 80 
 
 78.60 
 
 14.92 78.53 
 
 15.26 
 
 78.46 
 
 i5.6i 
 
 78.39 
 
 15.95 
 
 78.32 
 
 16.29 
 
 78.26 
 
 i6.63 
 
 80 
 
 81 
 
 79.58 
 
 i5.n 
 
 79. 5i 
 
 i5.46 
 
 79-44 
 
 i5.8o 
 
 79.37 
 
 i6.i5 
 
 79.30 
 
 16.49 
 
 79.23 
 
 16.84 
 
 81 
 
 82 
 
 80. 56 
 
 15.29 80.49 
 
 i5.65 
 
 80.42 
 
 16.00 
 
 80.35 
 
 16.35 
 
 80.28 
 
 16.70 
 
 80.21 
 
 17.06 
 
 82 
 
 83 
 
 8r.54 
 
 i5.48 81.48 
 
 i5.84 
 
 81.41 
 
 16.19 
 
 81.33 
 
 16.55 
 
 81.26 
 
 16.90 
 
 81.19 
 
 17.26 
 
 83 
 
 84 
 
 82.53 
 
 15.67 82.46 
 
 16. o3 
 
 82.39 
 
 16.39 
 
 82.31 
 
 16.75 
 
 82.24 
 
 17. II 
 
 82.16 
 
 17.46 
 
 84 
 
 85 
 
 83.5i 
 
 i5.85 83.44 
 
 1 
 
 16.22 
 
 83.37 
 
 16.58 
 
 83.29 
 
 16.95 
 
 83.22 
 
 17.31 
 
 83.14 
 
 17.67 
 
 85 
 
 86 
 
 84.49 
 
 16. o4 84.42 
 
 16.41 
 
 84.35 
 
 16.78 
 
 84.27 
 
 17-15 
 
 84.20 
 
 17.51 
 
 84.12 
 
 17.88 
 
 86 
 
 87 
 
 85.47 
 
 16.23 85. 4o 
 
 16.60 
 
 85.33 
 
 16.97 
 
 85.25 
 
 17.35 
 
 '85. 18 
 
 17.72 
 
 85. 10 
 
 18.09 
 
 87 
 
 88 
 
 86.46 
 
 16.41 86.38 
 
 16.79 
 
 86. 3i 
 
 17.17 
 
 86.23 
 
 17.54 
 
 86.16 
 
 17.92 
 
 86.08 
 
 18. 3o 
 
 88 
 
 89 
 
 87.44 
 
 16.60 87.36 
 
 16.98 
 
 87.29 
 
 17.36 
 
 87.21 
 
 17.74 
 
 :87.i4 
 
 18.12 
 
 87.06 
 
 18. 5o 
 
 89 
 
 90 
 
 88.42 
 
 16.79 88.35 
 
 17.17 
 
 88,27 
 
 17.56 
 
 88.19 
 
 17.94 
 
 88.11 
 
 18.33 
 
 88.o3 
 
 18.71 
 
 90 
 
 91 
 
 89.40 
 
 16.97 89.33 
 
 17.36 
 
 89.25 
 
 17.75 
 
 89.17 
 
 18.14 
 
 89.09 
 
 18.53 
 
 89.01 
 
 18.92 
 
 9' 
 
 92 
 93 
 94 
 95 
 
 90.39 
 
 17.16 90.31 
 
 17.55 
 
 90.23 
 
 17.95 
 
 90.15 
 
 18.34 90.07 
 
 18.74 
 
 89.99 
 
 19.13 
 
 92 
 
 
 
 91.37 
 
 17.35 91.29 
 
 17.75 
 
 91.21 
 
 18. i4 
 
 91. i3 
 
 18.54 91.05 
 
 18.94 
 
 90.97 
 
 19.34 
 
 93 
 
 92.35 
 
 17.53 q2.27 
 
 17.94 
 
 92.19 
 
 18.34 
 
 92.1 1 
 
 18.74 192.03 
 
 19.14 
 
 91.96 
 
 19.54 
 
 96 
 
 93.33 
 
 17.72 
 
 93,25 
 
 18. i3 
 
 93.17 
 
 18.53 
 
 93.09 
 
 18.94 
 
 93.01 
 
 19.35 
 
 92.92 
 
 19.76 
 
 96 
 
 97 
 98 
 
 99 
 
 100 
 
 94.32 
 
 17.91 
 
 '94.24 
 
 18.32 
 
 94.16 
 
 18.73 
 
 94.07 
 
 19.14 
 
 93.99 
 
 19.55 
 
 93.90 
 
 19.96 
 
 96 
 
 95.30 
 96.28 
 97.26 
 
 18.09 
 18.28 
 
 95.22 
 96.20 
 97.18 
 
 i8.5i 
 
 95.14 
 
 18.92 
 
 95.05 
 
 19.34 
 
 94.97 
 
 19.75 
 
 94.88 
 
 20.17 
 
 97 
 
 18.70 
 
 96.12 
 
 19.12 
 
 96.03 
 
 19.54 
 
 95.95 
 
 19.96 
 
 96.86 
 
 20.38 
 
 c 
 
 98 
 
 18.47 
 
 18.89 
 
 97.10 
 
 19.31 
 
 97.01 
 
 19.74 
 
 96.93 
 
 20.16 
 
 96.84 
 97.81 
 
 20. 58 
 
 99 
 
 98.25 
 
 i8.65 
 
 98.16 
 
 19.08 
 
 98.08 
 
 1 19.51 
 
 97-99 
 Dep. 
 
 19.94 
 
 97.90 
 
 20.36 
 
 20.79 
 
 100 
 
 e 
 
 1 
 
 c 
 
 Q 
 
 
 
 5 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Ut. 
 
 Dep. 
 
 1 Lat. 
 
 Lat. 
 
 Dep. 
 
 \sA. 
 
 Dep. 
 
 Lat 
 
 79% Deg. 
 
 79 Deg. 
 
 78% Deg. 
 
 78K Deg. 
 
 78% Deg. 
 
 78 Deg. 
 
152 
 
 Traverse Table. 
 
 5 
 S 
 
 o 
 a 
 
 I 
 
 13M Deg. 
 
 123^ Deg. 
 
 12% Deg. 
 
 13 Deg. 
 
 13% Deg. 
 
 13K Deg. 
 
 
 
 Lat. 
 
 Dep. 
 
 ut. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 1 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 0.98 
 
 0.21 
 
 0.98 
 
 0.22 
 
 0.98 
 
 0.22 
 
 0.97 
 
 0.23 
 
 0.97 
 
 0.23 
 
 0.97 
 
 0.23 
 
 I 
 
 2 
 
 1.95 
 
 0.42 
 
 1.95 
 
 0.43 
 
 1.95 
 
 0.44 
 
 1.95 
 
 0.45 
 
 1.95 
 
 0.46 
 
 1.95 
 
 0.47 
 
 2 
 
 3 
 
 2.93 
 
 0.64 
 
 2.93 
 
 0.65 
 
 2.93 
 
 0.66 
 
 2.92 
 
 0.67 
 
 2.92 
 
 0.69 
 
 2.92 
 
 0.70 
 
 3 
 
 4 
 
 3.91 
 
 0.85 
 
 3.91 
 
 0.87 
 
 3.90 
 
 0.88 
 
 3.90 
 
 0.90 
 
 3.89 
 
 0.92 
 
 3.89 
 
 0.93 
 
 4 
 
 5 
 
 4.89 
 
 1.06 
 
 4.88 
 
 1.08 
 
 4.88 
 
 1. 10 
 
 4.87 
 
 1. 12 
 
 4.87 
 
 i.i5 
 
 4.86 
 
 1. 17 
 
 5 
 
 6 
 
 5.86 
 
 1.27 
 
 5.86 
 
 i.3o 
 
 5.85 
 
 1.32 
 
 5.85 
 
 1.35 
 
 5.84 
 
 1.38 
 
 5.83 
 
 i.4o 
 
 6 
 
 7 
 
 6.84 
 
 1.49 
 
 6.83 
 
 1.52 
 
 6.83 
 
 1.54 
 
 6.82 
 
 1.57 
 
 6.81 
 
 1.60 
 
 6.81 
 
 1.63 
 
 7 
 
 8 
 
 7.82 
 
 1.70 
 
 7.81 
 
 1.73 
 
 7.80 
 
 1.77 
 
 7.80 
 
 1.80 
 
 7-79 
 
 1.83 
 
 7.78 
 
 1.87 
 
 8 
 
 9 
 
 8.80 
 
 1.91 
 
 8.79 
 
 1.95 
 
 8.78 
 
 1.99 
 
 8.77 
 
 2.02 
 
 8.76 
 
 2.06 
 
 8.75 
 
 2.10 
 
 9 
 
 lO 
 
 9-77 
 
 2.12 
 
 9.76 
 
 2.16 
 
 9.75 
 
 2.21 
 
 9-74 
 
 2.25 
 
 9.73 
 
 2.29 
 
 9.72 
 
 2.33 
 
 10 
 
 II 
 
 10.75 
 
 2.33 
 
 10.74 
 
 2.38 
 
 10.73 
 
 2.43 
 
 10.72 
 
 2.47 
 
 10.71 
 
 2.52 
 
 10.70 
 
 2.57 
 
 II 
 
 12 
 
 11.73 
 
 2.55 
 
 11.72 
 
 2.60 
 
 11.70 
 
 2.65 
 
 11.69 
 
 2.70 
 
 11.68 
 
 2.75 
 
 11.67 
 
 2.80 
 
 12 
 
 i3 
 
 12.70 
 
 2.76 
 
 12.69 
 
 2.81 
 
 12.68 
 
 2.87 
 
 12.67 
 
 2.92 
 
 12.65 
 
 2.98 
 
 12.64 
 
 3.o3 
 
 i3 
 
 i4 
 
 i3.68 
 
 2.97 
 
 13.67 
 
 3.o3 
 
 i3.65 
 
 3.09 
 
 i3.64 
 
 3.i5 
 
 i3.63 
 
 3.21 
 
 i3.6i 
 
 3.27 
 
 i4 
 
 i5 
 
 14.66 
 
 3.i8 
 
 i4.64 
 
 3.25 
 
 i4.63 
 
 3.3i 
 
 14.62 
 
 3.37 
 
 i4.6o 
 
 3.44 
 
 14.59 
 
 3.5o 
 
 i5 
 
 i6 
 
 i5.64 
 
 3.39 
 
 15.62 
 
 3.46 
 
 i5.6i 
 
 3.53 
 
 15.59 
 
 3.60 
 
 15.57 
 
 3.67 
 
 i5.56 
 
 3.74 
 
 16 
 
 17 
 
 i6.6i 
 
 3.61 
 
 16.60 
 
 3.68 
 
 16. 58 
 
 3.75 
 
 16.57 
 
 3.82 
 
 16.55 
 
 3.90 
 
 16.53 
 
 3.97 
 
 17 
 
 18 
 
 17.59 
 
 3.82 
 
 17.57 
 
 3.90 
 
 17.56 
 
 3.97 
 
 17.54 
 
 4.o5 
 
 17.52 
 
 4.i3 
 
 17.50 
 
 4.20 
 
 18 
 
 19 
 
 18.57 
 
 4.o3 
 
 18.55 
 
 4. II 
 
 18.53 
 
 4.19 
 
 18. 5i 
 
 4.27 
 
 18.49 
 
 4.35 
 
 18.48 
 
 4.44 
 
 19 
 
 20 
 
 19-54 
 
 4.24 
 
 19.53 
 
 4.33 
 
 19.51 
 
 4.4i 
 
 19.49 
 
 4.5o 
 
 19.47 
 
 4.58 
 
 19.45 
 
 4.67 
 
 20 
 
 21 
 
 20.52 
 
 4.46 
 
 20. 5o 
 
 4.55 
 
 20.48 
 
 4.63 
 
 20. 46 
 
 4.72 
 
 20.44 
 
 4.81 
 
 20.42 
 
 4.90 
 
 21 
 
 22 
 
 21. 5o 
 
 4.67 
 
 21.48 
 
 4.76 
 
 21.46 
 
 4.86 
 
 2 1.44 
 
 4.95 
 
 21.41 
 
 5.o4 
 
 21.39 
 
 5.14 
 
 22 
 
 23 
 
 22.48 
 
 4.88 
 
 22.45 
 
 4.98 
 
 22.43 
 
 5.08 
 
 22.4l 
 
 5.17 
 
 22.39 
 
 5.27 
 
 22.36 
 
 5.37 
 
 23 
 
 24 
 
 23.45 
 
 5.09 
 
 23.43 
 
 5.19 
 
 23.4l 
 
 5.3o 
 
 23.38 
 
 5.4o 
 
 23.36 
 
 5.5o 
 
 23.34 
 
 5.60 
 
 24 
 
 25 
 
 24.43 
 
 5.3o 
 
 24.41 
 
 5.4i 
 
 24.38 
 
 5.52 
 
 24.36 
 
 5.62 
 
 24.33 
 
 5.73 
 
 24.3l 
 
 5.84 
 
 25 
 
 26 
 
 25.41 
 
 5.52 
 
 25.38 
 
 5.63 
 
 25.36 
 
 5.74 
 
 25.33 
 
 5.85 
 
 25.3i 
 
 5.96 
 
 25.28 
 
 6.07 
 
 26 
 
 27 
 
 26.39 
 
 5.73 
 
 26.36 
 
 5.84 
 
 26.33 
 
 5.96 
 
 26.31 
 
 6.07 
 
 26.28 
 
 6.19 
 
 26.25 
 
 6.3o 
 
 27 
 
 28 
 
 27.36 
 
 5.94 
 
 27.34 
 
 6.06 
 
 27.31 
 
 6.18 
 
 27.28 
 
 6.3o 
 
 27.25 
 
 6.42 
 
 27.23 
 
 6.54 
 
 28 
 
 29 
 
 28.34 
 
 6.i5 
 
 28.31 
 
 6.28 
 
 28.28 
 
 6.4o 
 
 28.26 
 
 6.52 
 
 28.23 
 
 6.65 
 
 28.20 
 
 6.77 
 
 29 
 
 3o 
 
 29.32 
 
 6.37 
 
 29.29 
 
 6.49 
 
 29.26 
 
 6.62 
 
 29.23 
 
 6.75 
 
 29.20 
 
 6.88 
 
 29.17 
 
 7.00 
 
 3o 
 
 3i 
 
 30.29 
 
 6.58 
 
 30.27 
 
 6.71 
 
 30.24 
 
 6.84 
 
 3o.2i 
 
 6.97 
 
 30.17 
 
 7.11 
 
 3o.i4 
 
 7.24 
 
 3i 
 
 32 
 
 31.27 
 
 6.79 
 
 3 1. 24 
 
 6.93 
 
 3l.21 
 
 7.06 
 
 3i.i8 
 
 7.20 
 
 3i.i5 
 
 7.33 
 
 3l.l2 
 
 7.47 
 
 32 
 
 33 
 
 32.25 
 
 7.00 
 
 32.22 
 
 7.14 
 
 32.19 
 
 7.28 
 
 32. i5 
 
 7.42 
 
 32.12 
 
 7.56 
 
 32.09 
 
 7.70 
 
 33 
 
 34 
 
 33.23 
 
 7.21 
 
 33.19 
 
 7.36 
 
 33.16 
 
 7.5o 
 
 33.13 
 
 7.65 
 
 33.09 
 
 7.79 
 
 33.06 
 
 7.94 
 
 34 
 
 35 
 
 34.20 
 
 7.43 
 
 34.17 
 
 7.58 
 
 34.14 
 
 7.72 
 
 34.10 
 
 787 
 
 34.07 
 
 8.02 
 
 34.o3 
 
 8.17 
 
 35 
 
 36 
 
 35.18 
 
 7.64 
 
 35. i5 
 
 7-79 
 
 35.11 
 
 7.95 
 
 35.08 
 
 8.10 
 
 35.04 
 
 8.25 
 
 35.01 
 
 8.4o 
 
 36 
 
 37 
 
 36.16 
 
 7.85 
 
 36.12 
 
 8.01 
 
 36.09 
 
 8.17 
 
 36.o5 
 
 8.32 
 
 36. 02 
 
 8.48 
 
 35.98 
 
 8.64 
 
 37 
 
 38 
 
 37.13 
 
 8.06 
 
 37.10 
 
 8.22 
 
 37.06 
 
 8.39 
 
 37.03 
 
 8.55 
 
 36.99 
 
 8.71 
 
 36.95 
 
 8.87 
 
 38 
 
 39 
 
 38.11 
 
 8.27 
 
 38.o8 
 
 8.44 
 
 38.o4 
 
 8.61 
 
 38.00 
 
 8.77 
 
 37.96 
 
 8.94 
 
 37.92 
 
 9.10 
 
 39 
 
 4o 
 
 39.09 
 
 8.49 
 
 39.05 
 
 8.66 
 
 39.01 
 
 8.83 
 
 38.97 
 
 9.00 
 
 38.94 
 
 9.17 
 
 38.89 
 
 9.34 
 
 4o 
 
 4i 
 
 40.07 
 
 8.70 
 
 4o.o3 
 
 8.87 
 
 39.99 
 
 9.05 
 
 39.95 
 
 9.22 
 
 39.91 
 
 9.40 
 
 39.87 
 
 9.57 
 
 4i 
 
 42 
 
 4i.o4 
 
 8.91 
 
 4 1. 00 
 
 9.09 
 
 40.96 
 
 9.27 
 
 40.92 
 
 9.45 
 
 40.88 
 
 9.63 
 
 4o.84 
 
 9.80 
 
 42 
 
 43 
 
 42.02 
 
 9.12 
 
 41.98 
 
 9.3i 
 
 41.94 
 
 9.49 
 
 41.90 
 
 9.67 
 
 41.86 
 
 9.86 
 
 41.81 
 
 10. o4 
 
 43 
 
 44 
 
 43.00 
 
 9.34 
 
 42.96 
 
 9.52 
 
 42.92 
 
 9.71 
 
 42.87 
 
 9.90 
 
 42.83 
 
 10.08 
 
 42.78 
 
 10.27 
 
 44 
 
 45 
 
 43.98 
 
 9.55 
 
 43.93 
 
 9-74 
 
 43.89 
 
 9.93 
 
 43.85 
 
 10.12 
 
 43.80 
 
 io.3i 
 
 43.76 
 
 10. 5i 
 
 45 
 
 46 
 
 44.95 
 
 9.76 
 
 44.91 
 
 9.96 
 
 44.87 
 
 10. i5 
 
 44.82 
 
 10.35 
 
 44.78 
 
 10.54 
 
 44.73 
 
 10.74 
 
 46 
 
 47 
 
 45.93 
 
 9-97 
 
 45.89 
 
 10.17 
 
 45.84 
 
 10.37 
 
 45.80 
 
 10.57 
 
 45.75 
 
 10.77 
 
 45.70 
 
 10.97 
 
 47 
 
 48 
 
 46.91 
 
 10.18 
 
 46.86 
 
 10.39 
 
 46.82 
 
 10.59 
 
 46.77 
 
 10.80 
 
 46.72 
 
 11.00 
 
 46.67 
 
 II. 21 
 
 48 
 
 49 
 
 47.88 
 
 10.40 
 
 47.8^ 
 
 10.61 
 
 47.79 
 
 io.8i 
 
 47.74 
 
 11.02 
 
 47.70 
 
 11.23 
 
 47.65 
 
 11.44 
 
 49 
 
 5o 
 
 48.86 
 
 10.61 
 
 48.81 
 
 10.82 
 
 48.77 
 
 ii.o3 
 1 Lat. 
 
 48.72 
 
 11.25 
 
 48.67 
 
 11.46 
 
 48.62 
 
 1 1.67 
 
 5o 
 
 1 
 
 
 
 1 
 a 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 Dep. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 77% Deg. 
 
 77K Deg. 
 
 77% Deg. 
 
 77 Deg. 
 
 76% Deg. 
 
 761^ Deg. 
 
T R A V E K s E Table. 
 
 153 
 
 1 
 
 8 
 
 n% Deg. 
 
 12% Deg. 
 
 12X Deg. 
 
 13 Deg. 
 
 13% Deg. 
 
 131^ Deg. 
 
 g 
 
 B 
 
 8 
 5i 
 
 Lat. 
 
 Uep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 49.74 
 
 Dep. 
 
 I.at. 
 
 Dep. 
 
 U.47 
 
 Lat. 
 
 Dep. 
 
 Lat 
 
 Dep. 
 
 5i 
 
 49.B4 
 
 10.82 
 
 49.79 
 
 11.041 
 
 11.26 
 
 49.69 
 
 49.64 
 
 U.69 
 
 49.59 
 
 11.91 
 
 52 
 
 50.82 
 
 11. o3 
 
 50.77 
 
 11.25 
 
 50.72 
 
 11.48 
 
 50.67 
 
 1 1.70 
 
 50.62 
 
 11.92 
 
 5o.56 
 
 12.14 
 
 52 
 
 53 
 
 51.79 
 
 11.25 
 
 51.74 
 
 11.47 
 
 51.69 
 
 11.70 
 
 5 1.64 
 
 11.92 
 
 51.59 
 
 12. l5 
 
 5i.54 
 
 12.37 
 
 53 
 
 54 
 
 52.77 
 
 11.46 
 
 52.72 
 
 I 1.69 
 
 52.67 
 
 11.92 
 
 52.62 
 
 12. l5 
 
 52.56 
 
 12.38 
 
 52.5i 
 
 12.61 
 
 54 
 
 55 
 
 53.75 
 
 11.67 
 
 53.70 
 
 11.90 
 
 53.64 
 
 12. i4 
 
 53.59 
 
 12.37 
 
 53.54 
 
 12.61 
 
 53.48 
 
 12.84 
 
 55 
 
 56 
 
 54.72 
 
 11.88 
 
 54.67 
 
 12.12 
 
 54.62 
 
 12.36 
 
 54.56 
 
 12.60 
 
 54.5i 
 
 12.84 
 
 54.45 
 
 13.07 
 
 56 
 
 57 
 
 55.70 
 
 12.09 
 
 55.65 
 
 12.34 
 
 55.59 
 
 12.58 
 
 55.54 
 
 12.82 
 
 55.48 
 
 i3.o6 
 
 55.43 
 
 i3.3i 
 
 57 
 
 58 
 
 56.68 
 
 I2.3l 
 
 56.63 
 
 12.55 
 
 56.57 
 
 12.80 
 
 56. 5i 
 
 i3.o5 
 
 56.46 
 
 13.29 
 
 56.4o 
 
 13.54 
 
 58 
 
 59 
 
 57.66 
 
 12.52 
 
 57.60 
 
 12.77 
 
 57.55 
 
 l3.02 
 
 57.49 
 
 13.27 
 
 57.43 
 
 i3.52 
 
 57.37 
 
 13.77 
 
 5y 
 
 6o 
 
 58.63 
 
 12.73 
 
 58.58 
 
 12.99 
 
 58.52 
 
 l3.24 
 
 58.46 
 
 i3.5o 
 
 58.4o 
 
 13.75 
 
 58.34 
 
 14.01 
 
 60 
 
 6i 
 
 59.61 
 
 12.94: 
 
 59.55 
 
 l3.20 
 
 59.50 
 
 13.46 
 
 59.44 
 
 1 3.72 
 
 59.38 
 
 13.98 
 
 59.31 
 
 14.24 
 
 61 
 
 62 
 
 60.59 
 
 i3.i6 
 
 60.53 
 
 13.42 
 
 60.47 
 
 i3.68 
 
 60. 4i 
 
 13.95 
 
 60.35 
 
 14.21 
 
 60.29 
 
 14.47 
 
 62 
 
 63 
 
 61.57 
 
 13.37 
 
 61. 5i 
 
 i3.64 
 
 61.45 
 
 13.90 
 
 61.39 
 
 14.17 
 
 61.32 
 
 14.44 
 
 61.26 
 
 14.71 
 
 63 
 
 64 
 
 62.54 
 
 i3.58 
 
 62.48 
 
 i3.85 
 
 62.42 
 
 14.12 
 
 62.36 
 
 i4.4o 
 
 62.30 
 
 14.67 
 
 62.23 
 
 14.94 
 
 64 
 
 65 
 
 63.52 
 
 13.79 
 
 63.46 
 
 14.07 
 
 63.4o 
 
 14.35 
 
 63.33 
 
 14.62 
 
 63.27 
 
 14.90 
 
 63.20 
 
 15.17 
 
 65 
 
 66 
 
 64.5o 
 
 14.00 
 
 64.44 
 
 14.29 
 
 64.37 
 
 14.57 
 
 64.3i 
 
 i4.85 
 
 64.24 
 
 i5.i3 
 
 64.18 
 
 i5.4i 
 
 66 
 
 67 
 
 65.47 
 
 14.22 
 
 65.4i 
 
 i4.5o 
 
 65.35 
 
 14.79 
 
 65.28 
 
 15.07 
 
 65.22 
 
 i5.36 
 
 65.15 
 
 i5.64 
 
 67 
 
 68 
 
 66.45 
 
 14.43 
 
 66.39 
 
 14.72 
 
 66.32 
 
 i5.oi 
 
 66.26 
 
 i5.3o 
 
 66.19 
 
 15.59 
 
 66.12 
 
 15.87 
 
 68 
 
 69 
 
 67.43 
 
 14.64 
 
 67.36 
 
 14.93 
 
 67.30 
 
 i5.23 
 
 67.23 
 
 i5.52 
 
 67.16 
 
 i5.8i 
 
 67.09 
 
 16.11 
 
 69 
 
 70 
 
 68.41 
 
 i4.85 
 
 68.34 
 
 i5.i5 
 
 68.27 
 
 i5.45 
 
 68.21 
 
 15.75 
 
 68.14 
 
 16.04 
 
 68.07 
 
 16.34 
 
 70 
 
 71 
 
 6938 
 
 i5.o6 
 
 69.32 
 
 15.37 
 
 69.25 
 
 15.67 
 
 69.18 
 
 15.97 
 
 69.11 
 
 16.27 
 
 69.04 
 
 16.57 
 
 71 
 
 72 
 
 70.36 
 
 15.28 
 
 70.29 
 
 i5.58 
 
 70.22 
 
 15.89 
 
 70.15 
 
 16.20 
 
 70.08 
 
 i6.5o 
 
 70.01 
 
 16.81 
 
 72 
 
 73 
 
 71.34 
 
 i5.49 
 
 71.27 
 
 i5.8o 
 
 71.20 
 
 16.11 
 
 71.13 
 
 16.42 
 
 71.06 
 
 16.73 
 
 70. 9& 
 
 17.04 
 
 73 
 
 74 
 
 72.32 
 
 15.70 
 
 72.25 
 
 16.02 
 
 72.18 
 
 16.33 
 
 72.10 
 
 i6.65 
 
 72.03 
 
 16.96 
 
 71.96 
 
 17.28 
 
 74 
 
 75 
 
 73.29 
 
 15.91 
 
 73.22 
 
 16.23 
 
 73.15 
 
 16.55 
 
 73.08 
 
 16.87 
 
 73.00 
 
 17.19 
 
 72.93 
 
 17.50 
 
 75 
 
 76 
 
 74.27 
 
 16. i3 
 
 74.20 
 
 16.45 
 
 74.13 
 
 16.77 
 
 74. o5 
 
 17.10 
 
 73.98 
 
 17.42 
 
 73.90 
 
 17.74 
 
 76 
 
 77 
 
 75.25 
 
 16.34 
 
 75.17 
 
 16.67 
 
 75.10 
 
 16.99 
 
 75.03 
 
 17.32 
 
 74.95 
 
 17.65 
 
 74.87 
 
 17.98 
 
 77 
 
 78 
 
 76.22 
 
 16.55 
 
 76.15 
 
 16.88 
 
 76.08 
 
 17.21 
 
 76.00 
 
 17.55 
 
 75.92 
 
 17.88 
 
 75.84 
 
 18.21 
 
 78 
 
 79 
 
 77.20 
 
 16.76 
 
 77. i3 
 
 17.10 
 
 77.05 
 
 17.44 
 
 76.98 
 
 17.77 
 
 76.90 
 
 18.11 
 
 76.82 
 
 18.44 
 
 79 
 
 80 
 
 78.18 
 
 16.97 
 
 78.10 
 
 17.32 
 
 78.03 
 
 17.66 
 
 77.95 
 
 18.00 
 
 77.87 
 
 18.34 
 
 77-79 
 
 18.68 
 
 80 
 
 81 
 
 79.16 
 
 i 
 
 17. 19; 
 
 79.08 
 
 17.53 
 
 79.00 
 
 17.88 
 
 78.92 
 
 18.22 
 
 78.84 
 
 18,57 
 
 78.76 
 
 18.91 
 
 81 
 
 82 
 
 80. i3 
 
 17.40 
 
 80.06 
 
 17.75 
 
 79.98 
 
 18.10 
 
 79.90 
 
 18.45 
 
 79.82 
 
 18.79 
 
 79.73 
 
 19.14 
 
 82 
 
 83 
 
 81. II 
 
 17 61 
 
 8i.o3 
 
 17.96 
 
 80.95 
 
 18.32 
 
 80.87 
 
 18.67 
 
 80.79 
 
 19.02 
 
 80.71 
 
 19.38 
 
 83 
 
 84 
 
 82.09 
 
 17.82 
 
 82.01 
 
 18.18 
 
 S1.93 
 
 18.54 
 
 81.85 
 
 18.90 
 
 81.76 
 
 19.25 
 
 81.68 
 
 19.61 
 
 84 
 
 85 
 
 83.06 
 
 18.04 
 
 82.99 
 
 18.40 
 
 82.90 
 
 18.76 
 
 82.82 
 
 19.12 
 
 82.74 
 
 19.48 
 
 82.65 
 
 19.84 
 
 85 
 
 86 
 
 84.04 
 
 18.25 
 
 83.96 
 
 18.61 
 
 83.88 
 
 18.98 
 
 83.8o 
 
 19.35 
 
 83.71 
 
 19.71 
 
 83.62 
 
 20.08 
 
 86 
 
 87 
 
 85.02 
 
 18.46 
 
 84.94 
 
 i8.83 
 
 84.85 
 
 19.20 
 
 84.77 
 
 19.57 
 
 84.68 
 
 19.94 
 
 84.60 
 
 20.3l 
 
 87 
 
 88 
 
 86.00 
 
 18.67 
 
 85.91 
 86.89 
 
 19.05 
 
 85.83 
 
 19.42 
 
 85.74 
 
 19.80 
 
 85.66 
 
 20.17 
 
 85.57 
 
 20.54 
 
 88 
 
 89 
 
 86.97 
 
 18.88 
 
 19.26 
 
 86.81 
 
 19.64 
 
 86.72 
 
 20.02 
 
 86.63 
 
 20.4o 
 
 86.54 
 
 20.78 
 
 89 
 
 90 
 
 87.95 
 
 19.10 
 
 87.87 
 
 19.48 
 
 87.78 
 
 19.86 
 
 87.69 
 
 20.25 
 
 87.60 
 
 20.63 
 
 87.51 
 
 21.01 
 
 90 
 
 91 
 
 88.93 
 
 19.31 
 
 88.84 
 
 19.70 
 
 88.76 
 
 20.08 
 
 88.67 
 
 20.47 
 
 88.58 
 
 20.86 
 
 88.49 
 
 21.24 
 
 91 
 
 92 
 
 89.91 
 
 19.52 
 
 89.82 
 
 19.91 
 
 89.73 
 
 20. 3o 
 
 89.64 
 
 20.70 
 
 89.55 
 
 21.09 
 
 89.46 
 
 21.48 
 
 92 
 93 
 
 93 
 
 90.88 
 
 19.73 
 
 90.80 
 
 20. i3 
 
 90.71 
 
 20.52 
 
 90.62 
 
 20.92 
 
 90.52 
 
 21.32 
 
 90.43 
 
 21.71 
 
 94 
 
 91.86 
 
 19.94 
 
 91.77 
 
 20.35 
 
 91.68 
 
 20.75 
 
 91.59 
 
 21. i5 
 
 91.50 
 
 21.54 
 
 91.40 
 
 21.94 
 
 94 
 95 
 
 95 
 
 92.84 
 
 20.16 
 
 92.75 
 
 20. 56 
 
 92.66 
 
 20.97 
 
 92.57 
 
 21.37 
 
 92.47 
 
 21.77 
 
 92.38 
 
 22.18 
 
 96 
 
 97 
 98 
 
 99 
 100 
 
 « 
 
 a 
 3 
 
 CO 
 
 a 
 
 93.81 
 
 20.37 
 
 93.72 
 
 20.78 
 
 93.63 
 
 21.19 
 
 93.54 
 
 21.60 
 
 93.44 
 
 22.00 
 
 93.35 
 
 22.41 
 
 96 
 
 94.79 
 95.77 
 
 96.75 
 
 20. 58 
 20.79 
 21.01 
 
 7 / 
 
 94.70 
 95.68 
 96.65 
 
 20.99 
 21.21 
 
 '94.61 
 95.58 
 
 21.41 
 21.63 
 
 94.5i 
 95.49 
 
 21.82 
 22. o5 
 
 94.42 
 95.39 
 
 22.23 
 22.46 
 
 94.32 
 95.29 
 
 22.64 
 
 22.88 
 
 97 
 
 98 
 
 21.43 
 
 96.56 
 
 21.85 
 
 96.46 
 
 22.27 
 
 96.36 
 
 22.69 
 
 96.26 
 
 23.11 
 
 00/ 
 
 99 
 
 97.72 
 
 21.22 
 
 97.63 
 
 21.64 
 
 97.53 
 
 22.07 
 
 97.44 
 
 22. 5o 
 
 97.34 
 Dep. 
 
 22.92 
 
 Lat 
 
 97.24 
 
 23.34 
 
 100 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 LaL 
 
 Dep. 
 
 Lat. 
 
 Dep. 1 Lat 
 
 ci 
 u 
 
 a 
 3 
 
 CO 
 
 a 
 
 77% Deg. 
 
 11% Deg. 
 
 77K Deg. 
 
 77 Deg. 
 
 76% Deg. 
 
 16% Deg. 
 
154 
 
 T K A V K u s E Table. 
 
 g 
 
 to' 
 
 s 
 
 3 
 
 a 
 
 13% Deg. 
 
 14 Deg. 
 
 1414 Deg. 
 
 14K Deg. 
 
 14% Deg. 
 
 15 Deg. 
 
 
 
 m 
 
 Lat. 
 
 Dep. 
 
 IM. 
 
 0.97 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 0.97 
 
 0.24 
 
 0.24 
 
 0.97 
 
 0.25 
 
 0.97 
 
 0.25 
 
 0.97 
 
 0.25 
 
 0.97 
 
 0.26 
 
 I 
 
 2 
 
 1.94 
 
 0.48 
 
 1.94 
 
 0.48 
 
 1.94 
 
 0.49 
 
 1.94 
 
 o.5o 
 
 1.93 
 
 o.5i 
 
 1.93 
 
 0.52 
 
 2 
 
 3 
 
 2.91 
 
 0.71 
 
 2.91 
 
 0.73 
 
 2.91 
 
 0.74 
 
 2.90 
 
 0.75 
 
 2.90 
 
 0.76 
 
 2.90 
 
 0.78 
 
 3 
 
 4 
 
 3.89 
 
 0.95 
 
 3.88 
 
 0.97 
 
 3.88 
 
 0.98 
 
 3.87 
 
 1. 00 
 
 3.87 
 
 1.02 
 
 3.86 
 
 i.o4 
 
 4 
 
 5 
 
 4.86 
 
 1. 19 
 
 4.85 
 
 1. 2 I 
 
 4.85 
 
 1.23 
 
 4.84 
 
 1.25 
 
 4.84 
 
 1.27 
 
 4.83 
 
 1.29 
 
 5 
 
 6 
 
 5.83 
 
 1.43 
 
 5.82 
 
 1.45 
 
 5.82 
 
 1.48 
 
 5.81 
 
 i.5o 
 
 5.80 
 
 1.53 
 
 5.80 
 
 1.55 
 
 6 
 
 7 
 
 6.80 
 
 1.66 
 
 6.79 
 
 1.69 
 
 6.78 
 
 1.72 
 
 6.78 
 
 1.75 
 
 6.77 
 
 1.78 
 
 6.76 
 
 1.81 
 
 7 
 
 8 
 
 7-77 
 
 1.90 
 
 7.76 
 
 1.94 
 
 7.75 
 
 1.97 
 
 7.75 
 
 2.00 
 
 7-74 
 
 2.o4 
 
 7.73 
 
 2.07 
 
 8 
 
 9 
 
 8.74 
 
 2.l4 
 
 8.73 
 
 2.18 
 
 8.72 
 
 2.22 
 
 8.71 
 
 2.25 
 
 8.70 
 
 2.29 
 
 8.69 
 
 2.33 
 
 9 
 
 lO 
 
 9.71 
 
 2.38 
 
 9.70 
 
 2.42 
 
 9.69 
 
 2.46 
 
 9.68 
 
 2.5o 
 
 9.67 
 
 2.55 
 
 9.66 
 
 2.59 
 
 10 
 
 II 
 
 10.68 
 
 2.61 
 
 10.67 
 
 2.66 
 
 io.66 
 
 2.71 
 
 10. 65 
 
 2.75 
 
 10.64 
 
 2.80 
 
 10. 63 
 
 2.85 
 
 II 
 
 12 
 
 n.66 
 
 2.85 
 
 11.64 
 
 2.90 
 
 11.63 
 
 2.95 
 
 11.62 
 
 3.00 
 
 11.60 
 
 3.06 
 
 11.59 
 
 3. II 
 
 12 
 
 i3 
 
 12.63 
 
 3.09 
 
 12.61 
 
 3.i5 
 
 12.60 
 
 3.20 
 
 12.59 
 
 3.25 
 
 12.57 
 
 3.3i 
 
 12.56 
 
 3.36 
 
 i3 
 
 i4 
 
 i3.6o 
 
 3.33 
 
 i3.58 
 
 3.39 
 
 13.57 
 
 3.45 
 
 i3.55 
 
 3.5i 
 
 i3.54 
 
 3.56 
 
 i3.52 
 
 3.62 
 
 i4 
 
 i5 
 
 14.57 
 
 3.57 
 
 14.55 
 
 3.63 
 
 14.54 
 
 3.69 
 
 14.52 
 
 3.76 
 
 i4.5i 
 
 3.82 
 
 14.49 
 
 3.88 
 
 i5 
 
 i6 
 
 i5.54 
 
 3.80 
 
 i5.52 
 
 3.87 
 
 i5.5i 
 
 3.94 
 
 i5.49 
 
 4.01 
 
 i5.47 
 
 4.07 
 
 i5.45 
 
 4.i4 
 
 16 
 
 '7 
 
 16. 5i 
 
 4.04 
 
 16. 5o 
 
 4.11 
 
 i6.48 
 
 4.18 
 
 16.46 
 
 4.26 
 
 16.44 
 
 4.33 
 
 16.42 
 
 4.4o 
 
 17 
 
 i8 
 
 17-48 
 
 4.28 
 
 17.47 
 
 4.35 
 
 17.45 
 
 4.43 
 
 17.43 
 
 4.5i 
 
 17.41 
 
 4.58 
 
 17.39 
 
 4.66 
 
 18 
 
 19 
 
 18.46 
 
 4.52 
 
 18.44 
 
 4.60 
 
 18.42 
 
 4.68 
 
 18.39 
 
 4.76 
 
 18.37 
 
 4.84 
 
 18.35 
 
 4.92 
 
 »9 
 
 20 
 
 19.43 
 
 4.75 
 
 19.41 
 
 4.84 
 
 19.38 
 
 4.92 
 
 19.36 
 
 5.01 
 
 19.34 
 
 5.09 
 
 19.32 
 
 5.18 
 
 20 
 
 21 
 
 20. 4o 
 
 4.99 
 
 20.38 
 
 5.08 
 
 20.35 
 
 5.17 
 
 20.33 
 
 5.26 
 
 20. 3i 
 
 5.35 
 
 20.28 
 
 5.44 
 
 21 
 
 22 
 
 21.37 
 
 5.23 
 
 21.35 
 
 5.32 
 
 21.32 
 
 5.42 
 
 21. 3o 
 
 5.5i 
 
 21.28 
 
 5.60 
 
 21.25 
 
 5.69 
 
 22 
 
 23 
 
 22.34 
 
 5.47 
 
 22.32 
 
 5.56 
 
 22.29 
 
 5.66 
 
 22.27 
 
 5.76 
 
 22.24 
 
 5.86 
 
 22.22 
 
 5.95 
 
 23 
 
 24 
 
 23. 3i 
 
 5.70 
 
 23.29 
 
 5.81 
 
 23.26 
 
 5.91 
 
 23.24 
 
 6.01 
 
 23.21 
 
 6.11 
 
 23.18 
 
 6.21 
 
 24 
 
 25 
 
 24.28 
 
 5.94 
 
 24.26 
 
 6.o5 
 
 24.23 
 
 6.i5 
 
 24.20 
 
 6.26 
 
 24.18 
 
 6.37 
 
 24.15 
 
 6.47 
 
 25 
 
 26 
 
 25.25 
 
 6.18 
 
 25.23 
 
 6.29 
 
 25.20 
 
 6.4o 
 
 25.17 
 
 6.5i 
 
 25.14 
 
 6.62 
 
 25.11 
 
 6.73 
 
 26 
 
 27 
 
 26.23 
 
 6.42 
 
 26.20 
 
 6.53 
 
 26.17 
 
 6.65 
 
 26.14 
 
 6.76 
 
 26.11 
 
 6.87 
 
 26.08 
 
 6.99 
 
 27 
 
 28 
 
 27.20 
 
 6.66 
 
 27.17 
 
 6.77 
 
 27.14 
 
 6.89 
 
 27.11 
 
 7.01 
 
 27.08 
 
 7.i3 
 
 27.05 
 
 7.25 
 
 28 
 
 29 
 
 28.17 
 
 6.89 
 
 28.14 
 
 7.02 
 
 28.11 
 
 7.14 
 
 28.08 
 
 7.26 
 
 28.04 
 
 7.38 
 
 28.01 
 
 7.5i 
 
 29 
 
 3o 
 
 29.14 
 
 7.13 
 
 29.11 
 
 7.26 
 
 29.08 
 
 7.38 
 
 29.04 
 
 7.5i 
 
 29.01 
 
 7.64 
 
 28.98 
 
 7.76 
 
 3o 
 
 3i 
 
 3o.i I 
 
 7.37 
 
 3o.o8 
 
 7.5o 
 
 3o.o5 
 
 7.63 
 
 3o.oi 
 
 7.76 
 
 29.98 
 
 7.89 
 
 29.94 
 
 8.02 
 
 3i 
 
 32 
 
 3 1. 08 
 
 7.61 
 
 3i.o5 
 
 7.74 
 
 3 1.02 
 
 7.88 
 
 30.98 
 
 8.01 
 
 30.95 
 
 8.i5 
 
 30.91 
 
 8.28 
 
 32 
 
 33 
 
 32.o5 
 
 7.84 
 
 32.02 
 
 7.98 
 
 31.98 
 
 8.12 
 
 31.95 
 
 8.26 
 
 31.91 
 
 8.4o 
 
 31.88 
 
 8.54 
 
 33 
 
 34 
 
 33.o3 
 
 8.08 
 
 32.99 
 
 8.23 
 
 32.95 
 
 8.37' 
 
 32.92 
 
 8.5i 
 
 32.88 
 
 8.66 
 
 32.84 
 
 8.80 
 
 34 
 
 35 
 
 34.00 
 
 8.32 
 
 33.96 
 
 8.47 
 
 33.92 
 
 8.62 
 
 33.89 
 
 8.76 
 
 33.85 
 
 8.91 
 
 33.81 
 
 9.06 
 
 35 
 
 36 
 
 34.97 
 
 8.56 
 
 34.93 
 
 8.71 
 
 34.89 
 
 8.86 
 
 34.85 
 
 9.01 
 
 34.81 
 
 9.17 
 
 34.77 
 
 9.32 
 
 36 
 
 37 
 
 35.94 
 
 8.79 
 
 35.90 
 
 8.95 
 
 35.86 
 
 9.11, 
 
 35.82 
 
 9.26 
 
 35.78 
 
 9.42 
 
 35.74 
 
 9.58 
 
 37 
 
 38 
 
 36.91 
 
 9.03 
 
 36.87 
 
 9.19 
 
 36.83 
 
 9.35 
 
 36.79 
 
 9.5i 
 
 36.75 
 
 9.67 
 
 36.71 
 
 9.84 
 
 38 
 
 39 
 
 37.88 
 
 9.27 
 
 37.84 
 
 9.44 
 
 37.80 
 
 9.6o{i 37.76 
 
 9.76 
 
 37.71 
 
 9.93 
 
 37.67 
 
 10.09 
 
 39 
 
 4o 
 
 38.85 
 
 9.5i 
 
 38.8i 
 
 9.68 
 
 38.77 
 
 9.85 
 
 38.73 
 
 10.02 
 
 38.68 
 
 10. i8 
 
 38.64 
 
 10.35 
 
 4o 
 
 4i 
 
 89.83 
 
 9.75 
 
 39.78 
 
 9.92 
 
 39.74 
 
 10.09 
 
 39.69 
 
 10.27 
 
 39.65 
 
 10.44 
 
 39.60 
 
 10.61 
 
 4i 
 
 42 
 
 4o.8o 
 
 9.98 
 
 40.75 
 
 10.16 
 
 40.71 
 
 10.34 
 
 40.66 
 
 10. 52 
 
 40.62 
 
 10.69 
 
 40.57 
 
 10.87 
 
 42 
 
 43 
 
 41.77 
 
 10.22 
 
 41.72 
 
 10. 4o 
 
 41.68 
 
 10.58 
 
 4i.63 
 
 10.77 
 
 4i.58 
 
 10.95 
 
 41.53 
 
 II. i3 
 
 43 
 
 44 
 
 42.74 
 
 10.46 
 
 42.69 
 
 10.64 
 
 42.65 
 
 10.83 
 
 42.60 
 
 11.02 
 
 42.55 
 
 11.20 
 
 42. 5o 
 
 11.39 
 
 44 
 
 45 
 
 43.71 
 
 10.70 
 
 43.66 
 
 10.89 
 
 43.62 
 
 11.08 
 
 43.57 
 
 11.27 
 
 43.52 
 
 11.46 
 
 43.47 
 
 11.65 
 
 45 
 
 46 
 
 44.68 
 
 10.93 
 
 44.63 
 
 II. i3 
 
 44.58 
 
 11.32 
 
 44.53 
 
 11.52 
 
 44.48 
 
 1 1. 71 
 
 44.43 
 
 1 1. 91 
 
 46 
 
 47 
 
 45.65 
 
 11.17 
 
 45.60 
 
 11.37 
 
 45.55 
 
 11.57 
 
 45. 5o 
 
 11.77 
 
 45.45 
 
 11.97 
 
 45.4o 
 
 12.16 
 
 47 
 
 48 
 
 46.62 
 
 ii.4i 
 
 46.57 
 
 1 1.61 
 
 46.52 
 
 11.82 
 
 46.47 
 
 12.02 
 
 46.42 
 
 12.22 
 
 46.36 
 
 12.42 
 
 48 
 
 49 
 
 47.60 
 
 11.65 
 
 47.54 
 
 11.85 
 
 47.49 
 
 12.06 
 
 47.44 
 
 12.27 
 
 47.39 
 
 12.48 
 
 47.33 
 
 12.68 
 
 49 
 
 5o 
 
 a 
 1 
 
 
 48.57 
 
 11.88 
 
 48.5i 
 
 12.10 
 
 48.46 
 
 12. 3i 
 
 48.41 
 
 12.52 {48.35 
 
 12.73 
 
 48. 3o 
 
 12.94 
 
 5o 
 
 Dep. 
 
 Lat 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 l^t. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 8 
 1 
 
 OD 
 Q 
 
 7634 Deg. 
 
 76] 
 
 Deg. 
 
 75% 
 
 Deg. 
 
 75^^ 
 
 Deg. 
 
 75% 
 
 Deg. 
 
 75 Deg. 
 

 
 
 
 Traverse T 
 
 ABLE. 
 
 
 
 
 155 
 
 5 
 
 a 
 
 o 
 
 13% Deg. 
 
 14 Deg. 
 
 14K Deg. 
 
 14K Deg. 
 
 UX Deg. 
 
 15 Deg. 
 
 a 
 »• 
 
 D 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 12.34 
 
 Lat. 1 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 49.32 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 5i 
 
 49.54 
 
 12.12 
 
 49.49 
 
 49.43 
 
 12.55 
 
 49.38 
 
 12.77 
 
 12.98 
 
 49.26 
 
 I 3.20 
 
 5i 
 
 52 
 
 5o.5i 
 
 12.36 
 
 5o.46 
 
 12.58 
 
 5o.4o 
 
 12.80 
 
 5o.34 
 
 l3.02 
 
 50.29 
 
 l3.24 
 
 5o.23 
 
 13.46 
 
 52 
 
 53 
 
 5 1. 48 
 
 12.60 
 
 5i.43 
 
 12.82 
 
 51.37 
 
 i3.o5 
 
 5i.3i 
 
 13.27 
 
 5i.25 
 
 13.49 
 
 51.19 
 
 13.72 
 
 53 
 
 54 
 
 52.45 
 
 12.84 
 
 52.4o 
 
 1 3.06 
 
 52.34 
 
 13.29 
 
 52.28 
 
 13.52 
 
 52.22 
 
 13.75 
 
 52.16 
 
 13.98 
 
 54 
 
 55 
 
 53.42 
 
 13.07 
 
 53.37 
 
 i3.3i 
 
 53.3i 
 
 i3.54 
 
 53.25 
 
 13.77 
 
 53.19 
 
 14.00 
 
 53.13 
 
 14.24 
 
 55 
 
 56 
 
 54.40 
 
 i3.3i 
 
 54.34 
 
 13.55 
 
 54.28 
 
 13.78 
 
 54.22 
 
 14.02 
 
 54.15 
 
 14.26 
 
 54.09 
 
 i4.49 
 
 56 
 
 57 
 
 55.37 
 
 13.55 
 
 55. 3i 
 
 13.79 
 
 55.25 
 
 i4.o3 
 
 55.18 
 
 14.27 
 
 55.12 
 
 i4.5i 
 
 55.06 
 
 14.75 
 
 57 
 
 58 
 
 56.34 
 
 13.79 
 
 56.28 
 
 i4.o3 
 
 56.22 
 
 14.28 
 
 56. i5 
 
 14.52 
 
 56.09 
 
 14.77 
 
 56. 02 
 
 i5.oi 
 
 58 
 
 59 
 
 57.31 
 
 14.02 
 
 57.25 
 
 14.27 
 
 57.18 
 
 i4.52 
 
 57.12 
 
 14.77 
 
 57.06 
 
 l5.02 
 
 56.99 
 
 15.27 
 
 59 
 
 6o 
 
 58.28 
 
 14.26 
 
 58.22 
 
 i4.52 
 
 58.15 
 
 14.77 
 
 58.09 
 
 1 5.02 
 
 58.02 
 
 15.28 
 
 57.96 
 
 i5.53 
 
 60 
 
 6i 
 
 59.25 
 
 i4.5o 
 
 59.19 
 
 14.76 
 
 59.12 
 
 l5.02 
 
 59.06 
 
 1 5.27 
 
 58.99 
 
 i5.53 
 
 58.92 
 
 15.79 
 
 61 
 
 62 
 
 60.22 
 
 14.74 
 
 60.16 
 
 i5.oo 
 
 60.09 
 
 15.26 
 
 6o.o3 
 
 i5.52 
 
 59.96 
 
 15.79 
 
 59.89 
 
 16. o5 
 
 62 
 
 63 
 
 61.19 
 
 14.97 
 
 61. i3 
 
 l5.24 
 
 61.06 
 
 t5.5i 
 
 60.99 
 
 15.77 
 
 60.92 
 
 i6.o4j 
 
 60.85 
 
 i6.3i 
 
 63 
 
 64 
 
 62.17 
 
 I 5.2 I 
 
 62.10 
 
 i5.48 
 
 62.03 
 
 15.75 
 
 61.96 
 
 16.02 
 
 61.89 
 
 16.29 
 
 61.82 
 
 16. 56 
 
 64 
 
 65 
 
 63.14 
 
 15.45 
 
 63.07 
 
 15.72' 
 
 63. 00 
 
 16.00 
 
 62.93 
 
 16.27 
 
 62.86 
 
 16.55 
 
 62.79 
 
 16.82 
 
 65 
 
 66 
 
 64.11 
 
 15.69 
 
 64.04 
 
 15.97 
 
 63.97 
 
 16.25 
 
 63.90 
 
 16.53 
 
 63.83 
 
 16.80 
 
 63.75 
 
 17.08 
 
 66 
 
 67 
 
 65.o8 
 
 15.93 
 
 65.01 
 
 16.21 
 
 64.94 
 
 16.49 
 
 64.87 
 
 16.78 
 
 64.79 
 
 17.06 
 
 64.72 
 
 17.34 
 
 67 
 
 68 
 
 66.o5 
 
 i6.i6;65.98 
 
 16.45 
 
 65.91 
 
 16.74 
 
 65.83 
 
 17.03 
 
 65.76 
 
 I7.3I 
 
 65.68 
 
 17.60 
 
 68 
 
 69 
 
 67.02 
 
 16. 4o 66.95 
 
 16.69 
 
 66.88 
 
 16.98 
 
 66.80 
 
 17.28 
 
 66.73 
 
 17.57 
 
 66.65 
 
 17.86 
 
 69 
 
 70 
 
 67.99 
 
 16.64 
 
 67.92 
 
 16.93 
 
 67.85 
 
 17.23 
 
 67.77 
 
 17.53 
 
 67.69 
 
 17.82 
 
 67.61 
 
 18.12 
 
 70 
 
 71 
 
 68.97 
 
 16.88 
 
 68.89 
 
 17.18 
 
 68.82 
 
 17.48 
 
 68.74 
 
 17.78 
 
 68.66 
 
 18.08 
 
 68.58 
 
 i8.38 
 
 71 
 
 72 
 
 69.94 
 
 17.1 1 69.86 
 
 17.42 
 
 69.78 
 
 17.72 
 
 69.71 
 
 i8.o3 
 
 69.63 
 
 18.33 
 
 69.55 
 
 i8.63 
 
 72 
 
 73 
 
 70.91 
 
 17.35 70.83 
 
 17.66 
 
 70.75 
 
 17.97 
 
 70.67 
 
 18.28 
 
 70.59 
 
 18.59 
 
 70.5] 
 
 18.89 
 
 73 
 
 74 
 
 71.88 
 
 17.59 71.80 
 
 17.90 
 
 71.72 
 
 18.22 
 
 71.64 
 
 i8.53 
 
 71.56 
 
 18.84 
 
 71.48 
 
 19.15 
 
 74 
 
 75 
 
 72.85 
 
 17.83:72.77 
 
 18.14 
 
 72.69 
 
 18.46 
 
 72.61 
 
 18.78 
 
 72.53 
 
 19.10 
 
 72.44 
 
 19.41 
 
 75 
 
 76 
 
 73.82 
 
 i8.o6'73.74 
 
 18.39 
 
 73.66 
 
 18.71 
 
 73.58 
 
 19.03 
 
 73. 5o 
 
 19.35 
 
 73.41 
 
 19.67 
 
 76 
 
 77 
 
 74.79 
 
 18. 3o 
 
 74.71 
 
 i8.63 
 
 74.63 
 
 18.95 
 
 74.55 
 
 19.28 
 
 74.46 
 
 19.60 
 
 74.38 
 
 19.93 
 
 77 
 
 78 
 
 75.76 
 
 18.54 
 
 75.68 
 
 18.87 
 
 75.60 
 
 19.20 
 
 75.52 
 
 19.53 
 
 75.43 
 
 19.86 
 
 75.34 
 
 20.19 
 
 78 
 
 79 
 
 76.74 
 
 18.78 I76.65 
 
 19.1 1 
 
 76.57 
 
 19.45 
 
 76.48 
 
 19.78 
 
 76.40 
 
 20.11 
 
 76.31 
 
 20.45 
 
 79 
 
 80 
 
 77.71 
 
 19.01 1 77.62 
 
 19.35 
 
 77.54 
 
 19.69 
 
 77.45 
 
 20.o3 
 
 77.36 
 
 20.37 
 
 77.27 
 
 20.71 
 
 80 
 
 81 
 
 78.68 
 
 19.25 
 
 78.59 
 
 19.60 
 
 78.51 
 
 19.94 
 
 78.42 
 
 20.28 
 
 78.33 
 
 20.62 
 
 78.24 
 
 20.96 
 
 81 
 
 82 
 
 79.65 
 
 19.49 179.56 
 
 19.84 
 
 79-48 
 
 20.18 
 
 79.39 
 
 20.53 
 
 79.30 
 
 20. 8-8 
 
 79.21 
 
 21.22 
 
 82 
 
 83 
 
 80.62 
 
 i9.73;8o.53 
 
 20.08 
 
 80.45 
 
 20.43 
 
 80. 36 
 
 20.78 
 
 80.26 
 
 21. i3 
 
 80.17 
 
 21.48 
 
 83 
 
 84 
 
 81.59 
 
 19.97 81. 5o 
 
 20.32 
 
 81.42 
 
 20.68 
 
 81.32 
 
 21.o3 
 
 81.23 
 
 21.39 
 
 81.14 
 
 21.74 
 
 84 
 
 85 
 
 82.56 
 
 20.20 
 
 82.48 
 
 20. 56 
 
 82.38 
 
 20.92 
 
 82.29 
 
 21.28 
 
 82.20 
 
 21.64 
 
 82.10 
 
 22.00 
 
 85 
 
 86 
 
 83.54 
 
 20.44 
 
 83.45 
 
 20.81 
 
 83.35 
 
 21.17 
 
 83.26 
 
 21.53 
 
 83.17 
 
 21.90 
 
 83.07 
 
 22.26 
 
 86 
 
 87 
 
 84. 5i 
 
 20.68 
 
 84.42 
 
 21. o5 
 
 84.32 
 
 21.42 
 
 84.23 
 
 21.78,84.13 
 
 22. i5 
 
 84.o4 
 
 22.52 
 
 87 
 
 88 
 
 85.48 
 
 20,92 
 
 85.3Q 
 
 21.29 
 
 85.29 
 
 21.66 
 
 85.20 
 
 22.03 85.10 
 
 22.4l 
 
 85.00 
 
 22.78 
 
 88 
 
 89 
 
 86.45 
 
 2i.i586.36 
 
 21.53 
 
 86.26 
 
 21.91 
 
 86.17 
 
 22.28 
 
 86.07 
 
 22.66 
 
 85.97 
 
 23.o3 
 
 89 
 
 90 
 
 87.42 
 
 21.39 
 
 87.33 
 
 21.77 
 
 87.23 
 
 22. i5 
 
 87.13 
 
 22.53 
 
 87.03 
 
 22.91 
 
 86.93 
 
 23.29 
 
 90 
 
 91 
 
 88.39 
 
 21.63 
 
 88. 3o 
 
 22.01 
 
 88.20 
 
 22.40 
 
 88.10 
 
 22.78 '88.00 
 
 23.17 
 
 87.90 
 
 23.55 
 
 91 
 
 92 
 
 89.36 
 
 21.87 89.27 
 
 22.26 
 
 89.17 
 
 22.65 
 
 89.07 
 
 23.04 88.97 
 
 23.42 
 
 88.87 
 
 23.81 
 
 92 
 
 93 
 
 90.33 
 
 22.10 190.24 
 
 22. 5o 
 
 90.14 
 
 22.89 
 
 90.04 
 
 23.29 
 
 89.94 
 
 23.68 
 
 89.83 
 
 24.07 
 
 93 
 
 94 
 
 91. 3i 
 
 22.34 91.21 
 
 22.74 
 
 91.1 1 
 
 23.14 
 
 91.01 
 
 23.54 90.90 
 
 23.93 
 
 90.80 
 
 24.33 
 
 94 
 
 95 
 
 92.28 
 
 22.58 02.18 
 
 1 ' 
 
 22.98 
 
 92.08 
 
 23.38 
 
 91-97 
 
 23.79 
 
 91.87 
 
 24.19 
 
 91.76 
 
 24.59 
 
 95 
 
 96 
 
 93.25 
 
 1 
 
 22.82 93.15 
 
 23.22 
 
 93.05 
 
 23.63 
 
 92.94 
 
 24.04 92.84 
 
 24.44 
 
 92.73 
 
 24.85 
 
 96 
 
 97 
 
 94.22 
 
 23.06 94.12 
 
 23.47 
 
 94.02 
 
 23.88 
 
 93.91 
 
 24.29! 93.80 
 
 24.70 
 
 93.69 
 
 25.11 
 
 97 
 
 98 
 
 95.19 
 
 23.29 95.09 
 
 23.71 
 
 94.98 
 
 24.12 
 
 94.88 
 
 24.54, 
 
 94.77 
 
 24.95 
 
 94.66 
 
 25.36 98 
 
 99 
 
 96.16 
 
 23.53 196.06 
 
 23.95 
 
 95.95 
 
 24.37 
 
 95.85 
 
 24.79 
 
 95.74 
 
 25.21 
 
 95.63 
 
 25.62 
 
 99 
 
 7 / 
 
 97.13 
 
 23.77 
 Lat. 
 
 97.03 
 
 24.19 
 
 I-at. 
 
 96.92 
 
 24.62 
 
 96.81 
 
 25. o4 
 
 96.70 
 
 25.46 
 
 96.59 
 
 25.88 
 
 100 
 i 
 
 CO 
 
 a 
 
 Dep. 
 
 Dep. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 1 Lat 
 
 76K Deg. 
 
 76 Deg. 
 
 75% Deg. 
 
 751^ Deg. 
 
 75K Deg. 
 
 75 Deg. 
 
156 
 
 
 
 
 T 
 
 RAVERSE iABLI 
 
 <• 
 
 
 
 
 
 9 
 
 1 
 
 15% Deg. 
 
 151^ Deg. 
 
 15% Deg. 
 
 16 Deg. 
 
 16% Deg. 
 
 16K Deg. 
 
 D 
 
 i 
 
 I 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 0.27 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 0.96 
 1.93 
 2.89 
 3.86 
 
 0.26 
 
 0.96 
 
 0.96 
 
 0.27 
 
 0.96 
 
 0.28 
 
 0.96 
 
 0.28 
 
 0.96 
 
 0.28 
 
 o 
 
 0.53 
 
 1.93 
 
 2.89 
 
 0.53 
 
 1.92 
 
 0.54 
 
 1.92 
 
 0.55 
 
 1,92 
 
 0.56 
 
 1.92 
 
 0.57 
 
 2 
 
 3 
 
 0.79 
 
 i.o5 
 
 0,80 
 
 2.89 
 
 0.81 
 
 2.88 
 
 0.83 
 
 2.88 
 
 0.84 
 
 2.88 
 
 0.85 
 
 3 
 
 4 
 5 
 
 3.85 
 
 1.07 
 
 3.85 
 
 1.09 
 
 3.85 
 
 1. 10 
 
 3.84 
 
 1. 12 
 
 3.84 
 
 i.i4 
 
 4 
 
 4.82 
 
 1.32 
 
 4.82 
 
 1.34 
 
 4.81 
 
 1.36 
 
 4.81 
 
 1.38 
 
 4.80 
 
 i.4o 
 
 4.79 
 
 1.42 
 
 5 
 
 6 
 
 5.79 
 6.75 
 
 1.58 
 
 5.78 
 
 1.60 
 
 5.77 
 
 1.63 
 
 5.77 
 
 1.65 
 
 5,76 
 
 1.68 
 
 5.75 
 
 1.70 
 
 6 
 
 7 
 8 
 
 1.84 
 
 6.75 
 
 1.87 
 
 6.74 
 
 1.90 
 
 6.73 
 
 1.93 
 
 6.72 
 
 1.96 
 
 6.71 
 
 1.99 
 
 7 
 
 7.72 
 8.68 
 
 2.10 
 
 7.71 
 
 2.l4 
 
 7.70 
 
 2.17 
 
 7.69 
 
 2.21 
 
 7.68 
 
 2.24 
 
 7.67 
 
 2.27 
 
 8 
 
 9 
 
 lO 
 
 2.37 
 
 8.67 
 
 2,4l 
 
 8.66 
 
 2.44 
 
 8.65 
 
 2.48 
 
 8.64 
 
 2.52 
 
 8.63 
 
 2.56 
 
 9 
 
 9.65 
 
 2.63 
 
 9.64 
 
 2.67 
 
 9.62 
 
 2.71 
 
 9.61 
 
 2.76 
 
 9.60 
 
 2.80 
 
 9.59 
 
 2.84 
 
 10 
 
 II 
 
 10.61 
 
 2.89 
 
 10.60 
 
 2.94 
 
 10.59 
 
 2.99 
 
 10,57 
 
 3.o3 
 
 10.56 
 
 3.08 
 
 10.55 
 
 3.12 
 
 " 
 
 12 
 
 11.58 
 
 3.16 
 
 11.56 
 
 3.21 
 
 11.55 
 
 3.26 
 
 11.54 
 
 3.3i 
 
 11.52 
 
 3.36 
 
 II. 5i 
 
 3.4i 
 
 12 
 
 i3 
 
 12.54 
 
 3.42 
 
 12.53 
 
 3.47 
 
 12. 5i 
 
 3.53 
 
 12, 5o 
 
 3.58 
 
 12.48 
 
 3.64 
 
 12.46 
 
 3.69 
 
 i3 
 
 i4 
 
 i3.5i 
 
 3.68 
 
 i3.49 
 
 3.74 
 
 i3.47 
 
 3.80 
 
 i3.46 
 
 3.86 
 
 13.44 
 
 3.92 
 
 l3.42 
 
 3.98 
 
 i4 
 
 i5 
 
 14.47 
 
 3.95 
 
 14.45 
 
 4.01 
 
 14.44 
 
 4.07 
 
 14.42 
 
 4.i3 
 
 i4.4o 
 
 4.20 
 
 14.38 
 
 4.26 
 
 i5 
 
 i6 
 
 i5.44 
 
 4.21 
 
 i5.42 
 
 4.28 
 
 i5.4o 
 
 4.34 
 
 i5.38 
 
 4.4 1 
 
 i5.36 
 
 4.48 
 
 i5.34 
 
 4.54 
 
 16 
 
 I? 
 
 16.40 
 
 4.47 
 
 16.38 
 
 4.54 
 
 i6.36 
 
 4.61 
 
 16.34 
 
 4.69 
 
 16.32 
 
 4.76 
 
 16. 3o 
 
 4.83 
 
 17 
 
 i8 
 
 17.37 
 
 4.73 
 
 17.35 
 
 4.81 
 
 17.32 
 
 4.89 
 
 17.30 
 
 4.9(5 
 
 17.28 
 
 5.o4 
 
 17.26 
 
 5.11 
 
 18 
 
 IQ 
 
 18.33 
 
 5.00 
 
 i8.3i 
 
 5.08 
 
 18.29 
 
 5.16 
 
 18.26 
 
 5.24 
 
 18.24 
 
 5.32 
 
 18.22 
 
 5.4o 
 
 19 
 
 20 
 
 19.30 
 
 5.26 
 
 19.27 
 
 5.34 
 
 19.25 
 
 5.43 
 
 19.23 
 
 5.5i 
 
 19.20 
 
 5.60 
 
 19,18 
 
 5.68 
 
 20 
 
 21 
 
 20.26 
 
 5.52 
 
 20.24 
 
 5.61 
 
 20.21 
 
 5.70 
 
 20.19 
 
 5.79 
 
 20. i6 
 
 5.88 
 
 20. i4 
 
 5.96 
 
 21 
 
 22 
 
 21.23 
 
 5.79 
 
 21.20 
 
 5.88 
 
 21.17 
 
 5.97 
 
 21. i5 
 
 6.06 
 
 21,12 
 
 6.16 
 
 2i.oq 
 
 6.25 
 
 22 
 
 23 
 
 22.19 
 
 6.o5 
 
 22.16 
 
 6.i5 
 
 22.14 
 
 6.24 
 
 22.11 
 
 6,34 
 
 22.08 
 
 6.44 
 
 22.o5 
 
 6.53 
 
 23 
 
 24 
 
 23.15 
 
 6.3i 
 
 23.13 
 
 6.4i 
 
 23. 10 
 
 6.5i 
 
 23.07 
 
 6.62 
 
 23.o4 
 
 6.72 
 
 23.0I 
 
 6.82 
 
 24 
 
 25 
 
 24.12 
 
 6.58 
 
 24.09 
 
 6.68 
 
 24.06 
 
 6.79 
 
 24.03 
 
 6.89 
 
 24.00 
 
 7.00 
 
 23.97 
 
 7.10 
 
 25 
 
 26 
 
 25.08 
 
 6.84 
 
 25.o5 
 
 6.95 
 
 25.02 
 
 7.06 
 
 24.99 
 
 7.17 
 
 24.96 
 
 7.28 
 
 24.93 
 
 7.38 
 
 26 
 
 27 
 
 26.05 
 
 7.10 
 
 26.02 
 
 7.22 
 
 25.99 
 
 7.33 
 
 25.95 
 
 7.44 
 
 25.92 
 
 7.56 
 
 25.89 
 
 7.67 
 
 27 
 
 28 
 
 27.01 
 
 7.36 
 
 26.98 
 
 7.48 
 
 26.95 
 
 7.60 
 
 26.92 
 
 7.72 
 
 26.88 
 
 7.84 
 
 26.85 
 
 7.95 
 
 28 
 
 29 
 
 27.98 
 
 7.63 
 
 27.95 
 
 7.75 
 
 27.91 
 
 7.87: 
 
 27.88 
 
 7-99 
 
 27.84 
 
 8.11 
 
 27.81 
 
 8.24 
 
 29 
 
 3o 
 
 28.94 
 
 7.89 
 
 28.91 
 
 8.02 
 
 28.87 
 
 8.i4 
 
 28.84 
 
 8.27 
 
 28.80 
 
 8.39 
 
 28.76 
 
 8,52 
 
 3o 
 
 3i 
 
 29.91 
 
 8.i5 
 
 29.87 
 
 8.28 
 
 29.84 
 
 8.4i 
 
 29.80 
 
 8.54 
 
 29.76 
 
 8.67 
 
 29.72 
 
 8.80 
 
 3i 
 
 32 
 
 30.87 
 
 8.42 
 
 30.84 
 
 8.55 
 
 3o.8o 
 
 8.69 
 
 30.76 
 
 8.82 
 
 30.72 
 
 8.95 
 
 30.68 
 
 9.09 
 
 32 
 
 33 
 
 31.84 
 
 8.68 
 
 3i.8o 
 
 8.82 
 
 31.76 
 
 8.96 
 
 31.72 
 
 9.10 
 
 31.68 
 
 9.23 
 
 31.64 
 
 9.37 
 
 33 
 
 34 
 
 32.80 
 
 8.94 
 
 32.76 
 
 9.09 
 
 32.72 
 
 9.23 
 
 32.68 
 
 9.37 
 
 32.64 
 
 9.51 
 
 32.60 
 
 9.66 
 
 34 
 
 35 
 
 33.77 
 
 9.21 
 
 33.73 
 
 9.35 
 
 33.69 
 
 g.5o 
 
 33.64 
 
 9.65 
 
 33.60 
 
 9-79 
 
 33.56 
 
 9.94 
 
 35 
 
 36 
 
 34.73 
 
 9.47 
 
 34.69 
 
 9.62 
 
 34.65 
 
 9-77 
 
 34.61 
 
 9.92 
 
 34.56 
 
 10.07 
 
 34.52 
 
 10.22 
 
 36 
 
 37 
 
 35.70 
 
 9.73 
 
 35.65 
 
 9.89 
 
 35.61 
 
 10. o4 
 
 35.57 
 
 10.20 
 
 35.52 
 
 10,35 
 
 35.48 
 
 10. 5i 
 
 37 
 
 38 
 
 36.66 
 
 10.00 
 
 36.62 
 
 10.16 
 
 36.57 
 
 io.3i 
 
 36.53 
 
 10.47 
 
 36.48 
 
 10. 63 
 
 36.44 
 
 10.79 
 
 38 
 
 39 
 
 37.63 
 
 10.26 
 
 37.58 
 
 10.42 
 
 37.54 
 
 10.59 
 
 37.49 
 
 10.75 
 
 37.44 
 
 10.91 
 
 37.39 
 
 11.08 
 
 39 
 
 4o 
 
 38.59 
 
 10.52 
 
 38.55 
 
 10.69 
 
 38. 5o 
 
 10.86 
 
 38.45 
 
 ii.o3 
 
 38.4o 
 
 II. 19 
 
 38.35 
 
 11.36 
 
 40 
 
 4i 
 
 39.56 
 
 10.78 
 
 39.51 
 
 10.96 
 
 39.46 
 
 II. i3 
 
 39.41 
 
 II. 3o 
 
 39.36 
 
 11.47 
 
 39.31 
 
 11.64 
 
 4i 
 
 42 
 
 4o.52 
 
 II. o5 
 
 40.47 
 
 11.22 
 
 40.42 
 
 11. 4o 
 
 40.37 
 
 11.58 
 
 4o.32 
 
 11.75 
 
 40.27 
 
 11,93 
 
 42 
 
 43 
 
 41.49 
 
 II. 3i 
 
 41.44 
 
 11.49 
 
 41.39 
 
 11.67 
 
 41.33 
 
 11.85 
 
 41.28 
 
 I2.o3 
 
 41.23 
 
 12.21 
 
 43 
 
 44 
 
 42.45 
 
 11.57 
 
 42.4c 
 
 11.76 
 
 42.35 
 
 11.94 
 
 42.3c 
 
 > 12. i3 
 
 42. 2^ 
 
 12. 3i 
 
 42.19 
 
 12. 5o 
 
 44 
 
 45 
 
 43.42 
 
 11.84 
 
 43.36 
 
 12. o3 
 
 43. 3i 
 
 12.21 
 
 43. 2C 
 
 ) 12.40 
 
 43.20 
 
 12.59 
 
 43.i5 
 
 12.78 
 
 45 
 
 46 
 
 44.3S 
 
 12.10 
 
 44.32 
 
 12.29 
 
 44.2: 
 
 12.49 
 
 44.22 
 
 12.68 
 
 44.16 
 
 12.87 
 
 44.11 
 
 1 3.06 
 
 46 
 
 47 
 
 45.35 
 
 12.36 
 
 45.2^ 
 
 ) 12.56 
 
 45.24 
 
 12.76 
 
 45. le 
 
 ! 12.95 
 
 45.12 
 
 i3.i5 
 
 45.06 
 
 i3.35 
 
 47 
 
 48 
 
 46.3i 
 
 12.63 
 
 46.2J 
 
 ) 12.83 
 
 46.2c 
 
 ) i3.o3 
 
 46.1/ 
 
 \ i3.23 
 
 46.08 
 
 1 3.43 
 
 46.02 
 
 i3.63 
 
 48 
 
 49 
 
 47.2'i 
 
 f 12.89 
 
 47.22 
 
 ! 13.09 
 
 47. if 
 
 ) i3.3c 
 
 47. If 
 
 ) i3.5i 
 
 47.04 
 
 13.71 
 
 46.9S 
 
 13.92 
 
 49 
 
 5o 
 
 u 
 
 a 
 
 3 
 00 
 
 48.2^ 
 
 \ i3.i5 
 
 48. It 
 
 \ i3.3e 
 
 48.12 
 
 . 13.57 
 
 48. o( 
 
 J 13.78 
 
 48.0C 
 
 13.99 
 
 47-9^ 
 
 \ l4.2C 
 
 5o 
 
 ■ 1 
 
 5 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 74% Deg. 
 
 74X Deg. 
 
 74% Deg. 
 
 74 Deg. 
 
 73% Deg. 
 
 73K Deg. 
 
Tkaverse Table. 
 
 157 
 
 1 
 
 15% Deg. 151^ Deg. 
 
 15% Deg. 
 
 16 Deg. 
 
 16% Deg. 
 
 161^ Deg. 
 
 — ) 
 g 
 
 55" 
 
 sr 
 
 D 
 
 n 
 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 49.09 
 
 Dep. 
 
 Lat. 1 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. Dep. 
 
 5i 
 
 49.20 
 
 l3.4l 
 
 49.15 
 
 13.63 
 
 i3.84 
 
 49.02 
 
 14.06 
 
 48.96 
 
 14.27 
 
 48.90 
 
 14.48 
 
 5i 
 
 52 
 
 50.17 
 
 i3.68 
 
 5o.ii 
 
 13.90 
 
 5o.o5 
 
 i4.li 
 
 49.99 
 
 14.33 
 
 49.92 
 
 14.55 
 
 49.86 
 
 14.77 
 
 52 
 
 53 
 
 5i.i3 
 
 13.94 
 
 51.07 
 
 14.16 
 
 5i.oi 
 
 14.39 
 
 50.95 
 
 14.61 
 
 5o.88 
 
 i4.83 
 
 50.82 
 
 i5.o5 
 
 53 
 
 54 
 
 52.10 
 
 l4.20 
 
 52. o4 
 
 14.43 
 
 51.97 
 
 14.66 
 
 51.91 
 
 14.88 
 
 5 1.84 
 
 i5.ii 
 
 51.78 
 
 i5.34 
 
 54 
 
 55 
 
 53.06 
 
 14.47 
 
 53.00 
 
 14.70 
 
 52.94 
 
 14.93 
 
 52.87 
 
 i5.i6 
 
 52.80 
 
 15.39 
 
 52.74 
 
 15.62 
 
 55 
 
 56 
 
 54.o3 
 
 14.73 
 
 53.96 
 
 i4.97 
 
 53.90 
 
 l5.20 
 
 53.83 
 
 i5.44 
 
 53.76 
 
 15.67 
 
 53.69 
 
 i5.9o 
 
 56 
 
 5? 
 
 54.99 
 
 14.99 
 
 54.93 
 
 i5.23 
 
 54.86 
 
 i5.47 
 
 54.79 
 
 15.71 
 
 54.72 
 
 15.95 
 
 54.65 
 
 ' 7 
 
 16.19 
 
 57 
 
 58 
 
 55.96 
 
 15.26 
 
 55.89 
 
 i5.5o 
 
 55.82 
 
 15.74 
 
 55.75 
 
 15.99 
 
 55.68 
 
 16.23 
 
 55.61 
 
 16.47 
 
 58 
 
 59 
 
 56.92 
 
 i5.52 
 
 56.85 
 
 15.77 
 
 56.78 
 
 16.01 
 
 56.71 
 
 16.26 
 
 56.64 
 
 i6.5i 
 
 56.57 
 
 16.76 
 
 59 
 60 
 
 6o 
 
 57.89 
 
 15.78 
 
 57.82 
 
 i6.o3 
 
 57.75 
 
 16.29 
 
 57.68 
 
 16.54 
 
 57.60 
 
 16.79 
 
 57.53 
 
 17.04 
 
 6i 
 
 58.85 
 
 16. o4 
 
 58.78 
 
 16. 3o 
 
 58.71 
 
 i6.56 
 
 58.64 
 
 16.81 
 
 58.56 
 
 17.07 
 
 58.49 
 
 17.32 
 
 61 
 
 62 
 
 59.82 
 
 i6.3i 
 
 59.75 
 
 16.57 
 
 59.67 
 
 i6.83 
 
 59.60 
 
 17.09 
 
 59.52 
 
 17.35 
 
 59.45 
 
 17.61 
 
 62 
 
 63 
 
 60.78 
 
 16.57 
 
 60.71 
 
 16.84 
 
 6o.63 
 
 17.10 
 
 6o.56 
 
 17.37 
 
 60.48 
 
 17.63 
 
 60. 4i 
 
 17.89 
 
 63 
 
 64 
 
 61.75 
 
 i6.83 
 
 61.67 
 
 17.10J 
 
 61.60 
 
 17.37 
 
 61.52 
 
 17.64 
 
 61.44 
 
 17.91 
 
 61.36 
 
 18.18 
 
 64 
 
 65 
 
 62.71 
 
 17.10 
 
 62.64 
 
 17.37 
 
 62.56 
 
 17.64 
 
 62.48 
 
 17.92 
 
 62.40 
 
 18.19 
 
 62.32 
 
 18.46 
 
 65 
 
 66 
 
 63.68 
 
 17.36 
 
 63.6o 
 
 17.64 
 
 63.52 
 
 17.92 
 
 63.44 
 
 18.19 
 
 63.36 
 
 18.47 
 
 63.28 
 
 18.74 
 
 66 
 
 67 
 
 64.64 
 
 17 62 
 
 64.56 
 
 17.90 
 
 64.48 
 
 18.19 
 
 64.4o 
 
 18.47 
 
 64.32 
 
 18.75 
 
 64.24 
 
 19.03 
 
 67 
 
 68 
 
 65.6i 
 
 17.89 
 
 65.53 
 
 18.17 
 
 65.45 
 
 18.46 
 
 65.37 
 
 18.74 
 
 65.28 
 
 19.03 
 
 65.20 
 
 19.31 
 
 68 
 
 69 
 
 66.57 
 
 18. i5 
 
 66.49 
 
 18.44 
 
 66.41 
 
 18.73 
 
 66.33 
 
 19.02 
 
 66.24 
 
 19.31 
 
 66.16 
 
 19.60 
 
 69 
 
 70 
 
 67.54 
 
 18.41 
 
 67.45 
 
 18.71 
 
 67.37 
 
 19.00 
 
 67.29 
 
 19.29 
 
 67.20 
 
 19.59 
 
 67.12 
 
 19.88 
 
 70 
 
 71 
 
 68.5o 
 
 18.68 
 
 68.42 
 
 18.97 
 
 68.33 
 
 19.27 
 
 68.25 
 
 19.57 
 
 68.16 
 
 19.87 
 
 68.08 
 
 20.17 
 
 71 
 
 72 
 
 6946 
 
 18.94 
 
 69.38 
 
 19.24 
 
 69.30 
 
 19.54 
 
 69.21 
 
 19.85 
 
 69.12 
 
 20. i5 
 
 69.03 
 
 20.45 
 
 72 
 
 73 
 
 70.43 
 
 19.20 
 
 70.35 
 
 19.51 
 
 70.26 
 
 19.82 
 
 70.17 
 
 20.12 
 
 70.08 
 
 20.43 
 
 69.99 
 
 20.73 
 
 73 
 
 74 
 
 71.39 
 
 19.46 
 
 71.31 
 
 19.78 
 
 71.22 
 
 20.09 
 
 71.13 
 
 20.40 
 
 71.04 
 
 20.71 
 
 70.95 
 
 21.02 
 
 74 
 
 75 
 
 72.36 
 
 19.73 
 
 72.27 
 
 20.04 
 
 72.18 
 
 20. 36 
 
 72.09 
 
 20.67 
 
 72.00 
 
 20.99 
 
 71.91 
 
 21. 3o 
 
 75 
 
 76 
 
 73.32 
 
 19.99 
 
 73.24 
 
 20. 3i 
 
 73.15 
 
 20.63 
 
 73.06 
 
 20.95 
 
 72.96 
 
 21.27 
 
 72.87 
 
 21.59 
 
 76 
 
 77 
 
 74.29 
 
 20.25 
 
 74.20 
 
 20. 58 
 
 74.11 
 
 20.90 
 
 74.02 
 
 21.22 
 
 73.92 
 
 21.55 
 
 73.83 
 
 21.87 
 
 77 
 
 78 
 
 75.25 
 
 20 52 
 
 75.16 
 
 20.84 
 
 75.07 
 
 21.17 
 
 74.98 
 
 21. 5o 
 
 74.88 
 
 21.83 
 
 74.79 
 
 22. i5 
 
 78 
 
 79 
 
 76.22 
 
 20.78 
 
 76.13 
 
 21. 1 1 
 
 76.03 
 
 21.44 
 
 75.94 
 
 21.78 
 
 75.84 
 
 22.11 
 
 75.75 
 
 22.44 
 
 79 
 
 80 
 
 77,18 
 
 21 o4 
 
 77.09 
 
 21.38 
 
 77.00 
 
 21.72 
 
 76.90 
 
 22. o5 
 
 76.80 
 
 22.39 
 
 76.71 
 
 22.72 
 
 80 
 
 81 
 
 78 1 5 
 
 21. 3i 
 
 78.05 
 
 21.65 
 
 77.96 
 
 21.99 
 
 77.86 
 
 22.33 
 
 77.76 
 
 22.67 
 
 77.66 
 
 23.01 
 
 81 
 
 82 
 
 79.11 
 
 21 57 
 
 79.02 
 
 21.91 
 
 78.92 
 
 22.26 
 
 78.82 
 
 22.60 
 
 78.72 
 
 22.95 
 
 78.62 
 
 23.29 
 
 82 
 
 83 
 
 80.08 
 
 21 83 
 
 79.98 
 
 22.18 
 
 79.88 
 
 22.53 
 
 79.78 
 
 22.88 
 
 79.68 
 
 23.23 
 
 79.58 
 
 23.57 
 
 83 
 
 84 
 
 81.04 
 
 22.09 
 
 80.94 
 
 22.45 
 
 8o.85 
 
 22.80 
 
 80.75 
 
 23. i5 
 
 80.64 
 
 23.5i 
 
 80.54 
 
 23.86 
 
 84 
 
 85 
 
 82.01 
 
 22 36 
 
 81.91 
 
 22.72 
 
 81.81 
 
 23.07 
 
 81.71 
 
 23.43 
 
 81.60 
 
 23.79 
 
 81. 5o 
 
 24.14 
 
 85 
 
 86 
 
 82.97 
 
 22.62 
 
 82.87 
 
 22.98 
 
 82.77 
 
 23.34 
 
 82.67 
 
 23.70 
 
 82.56 
 
 24.07 
 
 82.46 
 
 24.43 
 
 86 
 
 87 
 
 83.94 
 
 22.88 
 
 83.84 
 
 23.25 
 
 83.73 
 
 23.62 
 
 83.63 
 
 23.98 
 
 83.52 
 
 24.35 
 
 83.42 
 
 24.71 
 
 87 
 
 88 
 
 84.90 
 
 23.15 
 
 84.80 
 
 23.52 
 
 84.70 
 
 23.89 
 
 84.59 
 
 24.26 
 
 84.48 
 
 24.62 
 
 84.38 
 
 24.99 
 
 88 
 
 89 
 
 85 87 
 
 23.41 
 
 85.76 
 
 23.78 
 
 85.66 
 
 24.16 
 
 85.55 
 
 24.53 
 
 85.44 
 
 24.90 
 
 85.33 
 
 25.28 
 
 89 
 
 90 
 
 86.83 
 
 23.67 
 
 86.73 
 
 24.o5 
 
 86.62 
 
 24.43 
 
 86.5i 
 
 24.81 
 
 86.4o 
 
 25.18 
 
 86.29 
 
 25.56 
 
 90 
 
 91 
 
 8780 
 
 23.94 
 
 87.69 
 
 24.32 
 
 87.58 
 
 24.70 
 
 87.47 
 
 25.08 
 
 87.36 
 
 25.46 
 
 87.25 
 
 25.85 
 
 91 
 
 92 
 
 88.76 
 
 24.20 
 
 88.65 
 
 24.59 
 
 88.55 
 
 24.97 
 
 88.44 
 
 25.36 
 
 88.32 
 
 25.74 
 
 88.21 
 
 26.13 
 
 92 
 
 
 
 93 
 
 89.73 
 
 24.46 
 
 89.62 
 
 24.85 
 
 89.51 
 
 25.24 
 
 89.40 
 
 25.63 
 
 89.28 
 
 26.02 
 
 89.17 
 
 
 
 26.41 
 
 93 
 94 
 95 
 
 94 
 
 90.69 
 
 24.72 
 
 90.58 
 
 25.12 
 
 90.47 
 
 25.52 
 
 90.36 
 
 25.91 
 
 90.24 
 
 26.30 
 
 90.10 
 
 26.70 
 
 £: 
 
 95 
 
 91.65 
 
 24.99 
 
 91.54 
 
 25.39 
 
 91.43 
 
 25.79 
 
 91.32 
 
 26.19 
 
 91.20 
 
 26.58 
 
 91.09 
 
 26.90 
 
 96 
 
 92.62 
 
 25.25 
 
 92.51 
 
 25.65 
 
 92.40 
 
 26.06 
 
 92.28 
 
 26.46 
 
 92.16 
 
 26.86 
 
 92.05 
 
 27.27 
 27.55 
 
 D 
 
 96 
 
 97 
 
 93.58 
 
 25. 5i 
 
 93.47 
 94.44 
 
 25.92 
 
 93.36 
 
 26.33 
 
 93.24 
 
 26.74 
 
 93.12 
 
 27.14 
 
 93.01 
 
 97 
 
 98 
 
 98 
 
 94.55 
 
 25.78 
 
 26.19 
 
 94.32 
 
 26.60 
 
 94.20 
 
 27.01 
 
 94.08 
 
 27.42 
 
 93.96 
 94.92 
 
 r 00 
 
 27.80 
 28.12 
 28.40 
 
 99 
 
 95.51 
 
 26.04 
 
 95.40 
 96.36 
 
 26.46 
 
 95.28 
 
 26.87 
 
 95.16 
 
 27.29 
 
 95.04 
 
 27.70 
 
 99 
 
 100 
 
 g 
 
 96.48 
 
 26.30 
 
 Lat. 
 
 26.72 
 Lat. 
 
 96.25 
 
 27.14 
 
 96.12 
 
 27.56 
 
 96.00 
 Dep. 
 
 27.98 
 Lat. 
 
 95.88 
 
 Dep. 
 
 100 
 
 Dep. 
 
 Dep. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Lat 
 
 
 
 1 
 
 CO 
 
 a 
 S 
 
 tn 
 
 Q 
 
 74% Deg. 
 
 74K Deg. 
 
 74K Deg. 
 
 74 Deg. 
 
 73% Deg. 
 
 73K Deg. 
 
158 
 
 Traverse Table. 
 
 o 
 
 w 
 a 
 P 
 
 I 
 
 16,^.^ Deg. 
 
 17 Deg. 
 
 171^ Deg. 
 
 171^ Deg. 
 
 17% Deg. 
 
 18 Deg. 
 
 
 
 D 
 
 
 Kat. 1 Dep. 
 
 i^t. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 1 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 0.q6 
 
 0.29 
 
 0.96 
 
 0.29 
 
 o.g5 
 
 o.3o 
 
 0.95 
 
 o.3o 
 
 0.95 
 
 o.3o 
 
 0.95 
 
 o.3i 
 
 1 
 
 2 
 
 7 
 
 1.92 
 
 2.87 
 
 0.58 
 
 1.91 
 
 0.58 
 
 1.91 
 
 0.59 
 
 I.9I 
 
 0.60 
 
 1.90 
 
 0.61 
 
 1.90 
 
 0.62 
 
 2 
 
 3 
 
 0.86 
 
 2.87 
 
 0.88 
 
 2.87 
 
 0.89 
 
 2.86 
 
 0.90 
 
 2.86 
 
 0.91 
 
 2.85 
 
 0.93 
 
 3 
 
 4 
 
 / 
 
 3.83 
 
 i.i5 
 
 3.83 
 
 1. 17 
 
 3.82 
 
 1. 19 
 
 3.81 
 
 1.20 
 
 3.81 
 
 1.22 
 
 3.80 
 
 1.24 
 
 4 
 
 5 
 
 4.79 
 
 1.44 
 
 4.78 
 
 1.46 
 
 4.78 
 
 1.48 
 
 4.77 
 
 i.5o 
 
 4.76 
 
 1.52 
 
 4.76 
 
 1.55 
 
 5 
 
 6 
 
 5.75 
 
 1.73 
 
 5.74 
 
 1.75 
 
 5.73 
 
 1.78 
 
 5.72 
 
 1.80 
 
 5.7. 
 
 1.83 
 
 5.71 
 
 1.85 
 
 6 
 
 7 
 8 
 
 6.70 
 
 2.02 
 
 6.69 
 
 2.o5 
 
 6.69 
 
 2.08 
 
 6.68 
 
 2.10 
 
 6.67 
 
 2.l3 
 
 6.66 
 
 2.16 
 
 7 
 
 7.66 
 8.62 
 
 2.3l 
 
 7.65 
 
 2.34 
 
 7.64 
 
 2.37 
 
 7.63 
 
 2.4l 
 
 7.62 
 
 2.44 
 
 7.61 
 
 2.47 
 
 8 
 
 9 
 
 lO 
 
 2.59 
 
 8.61 
 
 2.63 
 
 8.60 
 
 2.671 
 
 8.58 
 
 2.71 
 
 8.57 
 
 2.74 
 
 8.56 
 
 2.78 
 
 9 
 
 9-58 
 
 2.88 
 
 9.56 
 
 2.92 
 
 9.55 
 
 2.97 
 
 9.54 
 
 3.01 
 
 9.52 
 
 3.o5 
 
 9.51 
 
 3.09 
 
 ID 
 
 1 1 
 
 10.53 
 
 3.17 
 
 10.52 
 
 3.22 
 
 10. 5i 
 
 3.26 
 
 10.49 
 
 3.3i 
 
 10.48 
 
 3.35 
 
 10.46 
 
 3.4o 
 
 II 
 
 12 
 
 11.49 
 12.45 
 
 3.46 
 
 11.48 
 
 3.5i 
 
 11.46 
 
 3.56 
 
 11.44 
 
 3.61 
 
 11.43 
 
 3.66 
 
 11.41 
 
 3.71 
 
 12 
 
 i3 
 
 3.75 
 
 12.43 
 
 3.80 
 
 12.42 
 
 3.85 
 
 12. 4o 
 
 3.91 
 
 12.38 
 
 3.96 
 
 12.36 
 
 4.02 
 
 i3 
 
 i4 
 
 i3.4i 
 
 4.o3 
 
 [3.39 
 
 4.09 
 
 13.37 
 
 4.15! 
 
 13.35 
 
 4.21 
 
 i3.33 
 
 4.27 
 
 i3.3i 
 
 4.33 
 
 i4 
 
 i5 
 
 i4.36 
 
 4.32 
 
 14.34 
 
 4.39 
 
 14.33 
 
 4.45 
 
 i4.3i 
 
 4.5i 
 
 14.29 
 
 4.57 
 
 14.27 
 
 4.64 
 
 i5 
 
 i6 
 
 i5.32 
 
 4.61 
 
 i5.3o 
 
 4.68 
 
 15.28 
 
 4.74 
 
 i5.26 
 
 4.81 
 
 i5.24 
 
 4.88 
 
 l5.22 
 
 4.94 
 
 16 
 
 17 
 
 16. 28 
 
 4.90 
 
 16.26 
 
 4.97 
 
 16.24 
 
 5.o4 
 
 16.21 
 
 5. II 
 
 16.19 
 
 5.18 
 
 16.17 
 
 5.25 
 
 17 
 
 18 
 
 17.24 
 
 5.19 
 
 17.21 
 
 5.26 
 
 17.19 
 
 5.34 
 
 17.17 
 
 5.4i 
 
 17.14 
 
 5.49 
 
 17.12 
 
 5.56 
 
 18 
 
 '9 
 
 18.19 
 
 5.48 
 
 18.17 
 
 5.56 
 
 18. i5 
 
 5.63 
 
 18.12 
 
 5.7. 
 
 18.30 
 
 5.79 
 
 18.07 
 
 5.87 
 
 19 
 
 20 
 
 / 
 
 19.15 
 
 5.76 
 
 19.13 
 
 5.85 
 
 19.10 
 
 5.93 
 
 19.07 
 
 6.01 
 
 19.05 
 
 6.10 
 
 19.02 
 
 6.18 
 
 20 
 
 21 
 
 20.1 1 
 
 6.o5 
 
 20.08 
 
 6.i4 
 
 20.06 
 
 6.23 
 
 20. o3 
 
 6.3i 
 
 20.00 
 
 6.4o 
 
 19.97 
 
 6.49 
 
 21 
 
 22 
 
 21.07 
 
 6.34 
 
 2I.o4 
 
 6.43 
 
 iil.OI 
 
 6.52 
 
 20.98 
 
 6.62 
 
 20.95 
 
 6.7. 
 
 20.92 
 
 6.eo 
 
 22 
 
 23 
 
 22.02 
 
 6.63' 
 
 21.99 
 
 6.72 
 
 21.97 
 
 6.82 
 
 21.94 
 
 6.92 
 
 21.91 
 
 7.01 
 
 21.87 
 
 7. II 
 
 23 
 
 24 
 
 22.98 
 
 6.92 
 
 22.95 
 
 7.02 
 
 22.92 
 
 7.12 
 
 22.89 
 
 7.22 
 
 22.86 
 
 7.32 
 
 22.83 
 
 7.42 
 
 24 
 
 25 
 
 23.94 
 
 7.20 
 
 23.91 
 
 7.3i 
 
 23.88 
 
 7.41 
 
 23.84 
 
 7.52 
 
 23.81 
 
 7.62 
 
 23.78 
 
 7.73 
 
 25 
 
 26 
 
 24.90 
 
 7-49 
 
 24.86 
 
 7.60 
 
 24.83 
 
 7.71 
 
 24.80 
 
 7 82 
 
 24.76 
 
 7.93 
 
 24.73 
 
 8.o3 
 
 26 
 
 27 
 
 25.85 
 
 7.78 
 
 25.82 
 
 7.89 
 
 25.79 
 
 8.01 
 
 25.75 
 
 8.12 
 
 25.71 
 
 823 
 
 25.68 
 
 8.34 
 
 27 
 
 28 
 
 26.81 
 
 8.07 
 
 26.78 
 
 8.19 
 
 26.74 
 
 8.3o 
 
 26.70 
 
 8.42 
 
 26.67 
 
 8.54 
 
 26.63 
 
 8.65 
 
 28 
 
 29 
 
 27.77 
 
 8.36 
 
 27.73 
 
 8.48 
 
 27.70 
 
 8.60 
 
 27.66 
 
 8.72 
 
 27.62 
 
 8.84 
 
 27.58 
 
 8.96 
 
 29 
 
 3o 
 
 28.73 
 
 8.65 
 
 28.69 
 
 8.77 
 
 28.65 
 
 8.90 
 
 28.61 
 
 9.02 
 
 28.57 
 
 9.15 
 
 28.53 
 
 9.27 
 
 3o 
 
 3i 
 
 29.68 
 
 8.93 
 
 29.65 
 
 9.06 
 
 29.61 
 
 9.19 
 
 29.57 
 
 9.32 
 
 29.52 
 
 9.45 
 
 29.48 
 
 9.58 
 
 3i 
 
 32 
 
 30.64 
 
 9.22 
 
 3o.6o 
 
 9.36 
 
 3o.56 
 
 9.49 
 
 3o.52 
 
 9.62 
 
 3o.48 
 
 9.76 
 
 30.43 
 
 9.89 
 
 32 
 
 33 
 
 3i.6o 
 
 9.5i 
 
 31.56 
 
 9.65 
 
 31.52 
 
 9-79 
 
 31.47 
 
 9.92 
 
 31.43 
 
 10.06 
 
 31.38 
 
 10.20 
 
 33 
 
 34 
 
 32.56 
 
 9.80 
 
 32. 5i 
 
 9.94 
 
 32.47 
 
 10.08 
 
 32.43 
 
 10.22 
 
 32.38 
 
 10.37 
 
 32.34 
 
 10. 5i 
 
 34 
 
 35 
 
 33. 5i 
 
 10.09 
 
 33.47 
 
 I0.23 
 
 33.43 
 
 10. 38 
 
 33.38 
 
 10. 52 
 
 33.33 
 
 10.67 
 
 33.29 
 
 10.82 
 
 35 
 
 36 
 
 34.47 
 
 10.38 
 
 34.43 
 
 10.53 
 
 34.38 
 
 10.68 
 
 34.33 
 
 I0.83 
 
 34.29 
 
 10.98 
 
 34.24 
 
 II. 12 
 
 36 
 
 37 
 
 35.43 
 
 10.66 
 
 35.38 
 
 10.82 
 
 35.34 
 
 10.97 
 
 35.29 
 
 II. i3 
 
 35.24 
 
 11.28 
 
 35.19 
 
 11.43 
 
 37 
 
 38 
 
 36.39 
 
 10.95 
 
 36.34 
 
 II. II 
 
 36.29 
 
 1 1.27 
 
 36.24 
 
 11.43 
 
 36.19 
 
 11.58 
 
 36.14 
 
 11.74 
 
 38 
 
 39 
 
 37.35 
 
 11.24 
 
 37.30 
 
 I i.4o 
 
 37.25 
 
 11.57 
 
 37.19 
 
 11.73 
 
 37.14 
 
 11.89 
 
 37.09 
 
 12. o5 
 
 39 
 
 4o 
 
 38. 3o 
 
 11.53 
 
 38.25 
 
 11.69 
 
 38.20 
 
 11.86 
 
 38. i5 
 
 12. o3 
 
 38. 10 
 
 12.19 
 
 38.04 
 
 12.36 
 
 4o 
 
 4i 
 
 39.26 
 
 11.82 
 
 39.21 
 
 11.99 
 
 39.16 
 
 12.16 
 
 39.10 
 
 12.33 
 
 39.05 
 
 12. 5o 
 
 38.99 
 
 12.67 
 
 4i 
 
 42 
 
 4o.22 
 
 12.10 
 
 4o.i6 
 
 12.28 
 
 4o.ii 
 
 12.45 
 
 4o.o6 
 
 12.63 
 
 4o.oo 
 
 12.80 
 
 39.94 
 
 12.98 
 
 42 
 
 43 
 
 41.18 
 
 12.39 
 
 4l.I2 
 
 12.57 
 
 41.07 
 
 12.75 
 
 4i.oi 
 
 12.93 
 
 40.95 
 
 i3.ii 
 
 40.90 
 
 13.29 
 
 43 
 
 44 
 
 42.13 
 
 12.68 
 
 42.08 
 
 12.86 
 
 42.02 
 
 i3.o5 
 
 41.96 
 
 i3.23 
 
 41.91 
 
 i3.4i 
 
 41.85 
 
 i3.6o 
 
 44 
 
 45 
 
 43.09 
 
 12.97 
 
 43.03 
 
 i3.i6 
 
 42.98 
 
 i3.34 
 
 42.92 
 
 i3.53 
 
 42.86 
 
 13.72 
 
 42.80 
 
 13.91 
 
 45 
 
 46 
 
 44.05 
 
 13.26 
 
 43.99 
 
 13.45 
 
 43.93 
 
 i3.64 
 
 43.87 
 
 i3.83 
 
 43.81 
 
 l4.02 
 
 43.75 
 
 14.21 
 
 46 
 
 47 
 
 45.01 
 
 i3.55 
 
 44.95 
 
 13.74 
 
 44.89 
 
 13.94 
 
 44.82 
 
 i4.i3 
 
 44.76 
 
 14.33 
 
 44.70 
 
 14.52 
 
 47 
 
 48 
 
 45.96 
 
 i3.83 
 
 45.90 
 
 i4.o3 
 
 45.84 
 
 l4.23 
 
 45.78 
 
 14.43 
 
 45.71 
 
 i4.63 
 
 45.65 
 
 i4.83 
 
 48 
 
 49 
 
 46.92 
 
 14.12 
 
 46.86 
 
 14.33 
 
 46.8c 
 
 14.53 
 
 46.73 
 
 14.73 
 
 46.67 
 
 14.94 
 
 46.60 
 
 i5.i4 
 
 49 
 
 5o 
 
 47.88 
 
 i4.4i 
 
 47.82 
 
 14.62 
 
 47.75 
 
 14.83 
 
 47.69 
 
 i5.o4 
 
 47.62 
 
 i5.24 
 
 47.55 
 
 i5.45 
 
 5o 
 
 d 
 
 a 
 3 
 
 d 
 a 
 S 
 
 Q 
 
 Dep. 
 
 Lat 
 
 Dep. 
 
 lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 73K Deg. 
 
 73 Deg. 
 
 72% Deg. 
 
 721^ Deg. 
 
 72% Deg. 
 
 72 Deg. 
 
Traverse Table. 
 
 159 
 
 5 
 
 00* 
 
 a 
 
 o 
 
 16% Beg. 
 
 17 Deg. 
 
 17% Deg. 
 
 171^ Deg. 
 
 17% Deg. 
 
 18 Deg. 
 
 5 
 
 1 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 14.91 
 
 Lat. Di'p. 
 
 Lat. 
 
 Dep. 
 
 i^t. 
 
 Dep. 
 
 i5.55 
 
 Lat. 
 
 Dep. 
 
 TT 
 
 48.84 
 
 14.70 
 
 48.77 
 
 48.71 
 
 l5.I2 
 
 48.64 
 
 l5.34 
 
 48.57 
 
 48.5o 
 
 15.76 
 
 5i 
 
 52 
 
 49.79 
 
 14.99 
 
 49.73 
 
 l5.20 
 
 49.66 
 
 i5.42 
 
 49.59 
 
 i5.64 
 
 49.52 
 
 i5.85 
 
 49.45 
 
 16.07 
 
 52 
 
 53 
 
 50.75 
 
 15.27 
 
 5o.68 
 
 i5.5o 
 
 50.62 
 
 15.72 
 
 5o.55 
 
 15.94 
 
 5o.48 
 
 16.16 
 
 5o.4i 
 
 16. 38 
 
 53 
 
 54 
 
 51.71 
 
 i5.56 
 
 5 1.64 
 
 15.79 
 
 5i.57 
 
 16.01 
 
 5i.5o 
 
 16.24 
 
 5i.43 
 
 16.46 
 
 5 1.36 
 
 16.69 
 
 54 
 
 55 
 
 52.67 
 
 i5.85 
 
 52.60 
 
 16.08 
 
 52.53 
 
 i6.3i 
 
 52.45 
 
 16.54 
 
 52.38 
 
 16.77 
 
 52.3i 
 
 17.00 
 
 55 
 
 56 
 
 53.62 
 
 16. i4 
 
 53.55 
 
 16.37 
 
 53.48 
 
 16.61 
 
 53.4i 
 
 16.84 
 
 53.33 
 
 17.07 
 
 53.26 
 
 17.30 
 
 56 
 
 5? 
 
 54.58 
 
 16.43 
 
 54.5i 
 
 16.67 
 
 54.44 
 
 16.90 
 
 54.36 
 
 17.14 
 
 54.29 
 
 17.38 
 
 54.21 
 
 17.61 
 
 57 
 
 58 
 
 55.54 
 
 16.72 
 
 55.47 
 
 16.96 
 
 55.39 
 
 17.20 
 
 55.32 
 
 17.44 
 
 55.24 
 
 17.68 
 
 55.16 
 
 17.92 
 
 58 
 
 59 
 
 56. 5o 
 
 17.00 
 
 56.42 
 
 17.25 
 
 56.35 
 
 17.50 
 
 56.27 
 
 17.74 
 
 56.19J 
 
 17.99 
 
 56.11 
 
 18.23 
 
 59 
 
 60 
 
 57.45 
 
 17.29 
 
 57.38 
 
 17.54 
 
 57.30 
 
 17.79 
 
 57.22 
 
 18.04 
 
 57.14 
 
 18.29 
 
 57.06 
 
 18.54 
 
 60 
 
 61 
 
 58.4i 
 
 17.58 
 
 58.33 
 
 17.83 
 
 58.26 
 
 18.09 
 
 58.18 
 
 18.34 
 
 58. 10 
 
 18.60 
 
 58.0I 
 
 i8.85 
 
 61 
 
 62 
 
 59.37 
 
 17.87 
 
 59.29 
 
 18. i3 
 
 59.21 
 
 18.39 
 
 59.13 
 
 18.64 
 
 59.05 
 
 18.90 
 
 58.97 
 
 19.16 
 
 62 
 
 63 
 
 60.33 
 
 18.16 
 
 60.25 
 
 18.42 
 
 60.17 
 
 18.68 
 
 60.08 
 
 18.94 
 
 60.00 
 
 19.21 
 
 59.92 
 
 19.47 
 
 63 
 
 64 
 
 61.28 
 
 18.441 
 
 61.20 
 
 18.71 
 
 61.12 
 
 18.98 
 
 6i.o4 
 
 19.25 
 
 60.95 
 
 19.51 
 
 60.87 
 
 19.78 
 
 64 
 
 65 
 
 62.24 
 
 18.73 
 
 62.16 
 
 19.00 
 
 62.08 
 
 19.28 
 
 61.99 
 
 19.55 
 
 61.91 
 
 19.82 
 
 61.82 
 
 20.09 
 
 65 
 
 66 
 
 63.20 
 
 19.02 
 
 63.12 
 
 19.30 
 
 63.03 
 
 19.57 
 
 62.95 
 
 19.85 
 
 62.86 
 
 20.12 
 
 62.77 
 
 20. 4o 
 
 66 
 
 67 
 
 64.16 
 
 19.31 
 
 64.07 
 
 19.59 
 
 63.99 
 
 19.87 
 
 63.90 
 
 20. i5 
 
 63.8i 
 
 20.43 
 
 63.72 
 
 20.70 
 
 67 
 
 68 
 
 65.11 
 
 19.60 
 
 65.03 
 
 19.88 
 
 64.94 
 
 20. i6 
 
 64.85 
 
 20.45 
 
 64.76 
 
 20.73 
 
 64.67 
 
 21.01 
 
 68 
 
 69 
 
 66.07 
 
 19.89 
 
 65.99 
 
 20.17 
 
 65.90 
 
 20.46 
 
 65.8i 
 
 20.75 
 
 65.72 
 
 2I.o4 
 
 65.62 
 
 21.32 
 
 69 
 
 70 
 
 67.03 
 
 20.17 
 
 66.94 
 
 20.47 
 
 66.85 
 
 20.76 
 
 66.76 
 
 21. o5 
 
 66.67 
 
 21.34 
 
 66.57 
 
 21.63 
 
 70 
 
 7» 
 
 67.99 
 
 20.46 
 
 67.90 
 
 20.76 
 
 67.81 
 
 2i.o5 
 
 67.71 
 
 21.35 
 
 67.62 
 
 21.65 
 
 67.53 
 
 21.94 
 
 71 
 
 72 
 
 68.95 
 
 20.75 
 
 68.8J 
 
 21. o5 
 
 68.76 
 
 2, .35 
 
 68.67 
 
 21.6.' 
 
 68.57 
 
 21.95 
 
 6J.48 
 
 22.25 
 
 /2 
 
 73 
 
 69.90 
 
 2I.o4 
 
 69.81 
 
 21.34 
 
 69.72 
 
 21.65 
 
 69.62 
 
 21.95 
 
 69.52 
 
 22.26 
 
 69.43 
 
 22.56 
 
 73 
 
 74 
 
 70.86 
 
 21.33 
 
 70.77 
 
 21.64 
 
 70.67 
 
 21.94 
 
 70.58 
 
 22.25 
 
 70.48 
 
 22.56 
 
 70.38 
 
 22.87 
 
 74 
 
 75 
 
 71.82 
 
 21.61 
 
 71.72 
 
 21.93 
 
 71.63 
 
 22.24 
 
 71.53 
 
 22.55 
 
 71.43 
 
 22.86 
 
 71.33 
 
 23.18 
 
 75 
 
 76 
 
 72.78 
 
 21.90 
 
 72.68 
 
 22.22 
 
 72.58 
 
 22.54 
 
 72.48 
 
 22.85 
 
 72.38 
 
 23.17 
 
 72.28 
 
 23.49 
 
 76 
 
 77 
 
 73.73 
 
 22.19 
 
 73.64 
 
 22. 5i 
 
 73.54 
 
 22.83 
 
 73.44 
 
 23.15 
 
 73.33 
 
 23.47 
 
 73.23 
 
 23.79 
 
 77 
 
 78 
 
 74.69 
 
 22.48 
 
 74.59 
 
 22.80 
 
 74.49 
 
 23. i3 
 
 74.39 
 
 23.46 
 
 74.29 
 
 23.78 
 
 74.18 
 
 24.10 
 
 78 
 
 79 
 
 75.65 
 
 22.77 
 
 75.55 
 
 23.10 
 
 75.45 
 
 23.43 
 
 75.34 
 
 23.76 
 
 75.24 
 
 24.08 
 
 75.13 
 
 24.41 
 
 79 
 
 80 
 
 76.61 
 
 23.06 
 
 76.50 
 
 23.39 
 
 76.40 
 
 23.72 
 
 76.30 
 
 24.06 
 
 76.19 
 
 24.39 
 
 76.08 
 
 24.72 
 
 80 
 
 81 
 
 77.56 
 
 23.34 
 
 77.46 
 
 23.68 
 
 77.36 
 
 24.02 
 
 77.25 
 
 24.36 
 
 77.14 
 
 24.69 
 
 77.04 
 
 25.o3 
 
 81 
 
 82 
 
 78.52 
 
 23.63 
 
 78.42 
 
 23.97 
 
 78.31 
 
 24.32 
 
 78.20 
 
 24.66 
 
 78.10 
 
 25.00 
 
 77.99 
 
 25.34 
 
 82 
 
 83 
 
 79.48 
 
 23.92 
 
 79.37 
 
 24.27 
 
 79.27 
 
 24.61 
 
 79.16 
 
 24.96 
 
 i 79.05 
 
 25. 3o 
 
 78.94 
 
 25.65 
 
 83 
 
 / 
 
 84 
 
 80.44 
 
 24.21 
 
 80.33 
 
 24.56 
 
 80.22 
 
 24.91 
 
 80.11 
 
 25.26 
 
 ; 80.00 
 
 25.61 
 
 79.89 
 
 25.96 
 
 84 
 
 85 
 
 81.39 
 
 24. 5o 
 
 81.29 
 
 24.85 
 
 81.18 
 
 25.21 
 
 81.07 
 
 25.56 
 
 80.95 
 
 25.91 
 
 80.84 
 
 26.27 
 
 85 
 
 86 
 
 82.35 
 
 24.78 
 
 82.24 
 
 25. i4 
 
 82.13 
 
 25. 5o 
 
 82.02 
 
 25.86 
 
 81.91 
 
 26.22 
 
 81.79 
 
 26.58 
 
 86 
 
 87 
 
 88 
 
 83. 3i 
 
 25.07 
 
 83.20 
 
 25.44 
 
 83.09 
 
 25.80 
 
 82.97 
 
 26.16 
 
 82.86 
 
 26.52 
 
 82.74 
 
 26.88 
 
 87 
 
 84.27 
 
 25.36 
 
 84.i5 
 
 25.73 
 
 84.o4 
 
 26.10 
 
 83.93 
 
 26.46||83.8i 
 
 26.83 
 
 83 69 
 
 27.19 
 
 88 
 
 89 
 90 
 
 85.22 
 
 25.65 
 
 85.11 
 
 26.02 
 
 85.00 
 
 26.39 
 
 84.88 
 
 26.76 ,84.76 
 
 27.13 
 
 84.64 
 
 27.50 
 
 89 
 
 86.18 
 
 25.94 
 
 86.07 
 
 26.31 
 
 85.95 
 
 26.69 
 
 85.83 
 
 27.06 
 
 85.72 
 
 27.44 
 
 85.6o 
 
 27.81 
 
 90 
 
 91 
 92 
 
 93 
 
 94 
 95 
 
 87.14 
 
 26.23 
 
 87.02 
 
 26.61 
 
 86.91 
 
 26.99 
 
 86.79 
 
 27.36 
 
 86.67 
 
 27.74 
 
 86.55 
 
 28.12 
 
 9' 
 
 88.10 
 
 26.51 
 
 87.98 
 88.94 
 
 26.90 
 
 87.86 
 
 27.28 
 
 87.74 
 
 27.66 187.62 
 
 28.05 
 
 87.50 
 
 28.43 
 
 92 
 
 
 
 89.05 
 90.01 
 90.97 
 
 26.80 
 
 27.19 
 
 88.82 
 
 27.58 
 
 88.70 
 
 27.97 
 
 88.57 
 
 28.35 
 
 88.45 
 
 28.74 
 29.05 
 29.36 
 
 93 
 94 
 95 
 
 27.09 
 27.38 
 
 89.89 
 90.85 
 
 27.48 
 27.78 
 
 89.77 
 90.73 
 
 27.87 
 
 28.17 
 
 89.65 
 90.60 
 
 28.27 
 28.57 
 
 89.53 
 90.48 
 
 28.66 
 28.96 
 
 89.40 
 90.35 
 
 96 
 
 97 
 98 
 
 99 
 100 
 
 91.93 
 
 27.67 
 
 91.81 
 
 28.07 
 
 91.68 
 
 28.47 
 
 91.56 
 
 28.87 
 
 191.43 
 
 29.27 
 
 91.30 
 92.25 
 
 29.67 
 
 96 
 
 92.88 
 93.84 
 
 27.95 
 28.24 
 
 7 
 
 92.76 
 
 93.72 
 
 28 36 
 
 92.64 
 
 28.76 
 
 92.51 
 
 29.17ij92.38 
 
 29.57 
 
 29.97 
 30.28 
 30.59 
 30.90 
 
 97 
 98 
 
 28.65 
 
 93.59 
 
 29.06 
 
 93.46 
 
 29.47, 93.33 
 
 29.88 
 
 93.20 
 94.15 
 95.11 
 
 94.80 
 95.76 
 
 28.53 
 
 94.67 
 95.63 
 
 28.94 
 
 94.55 
 
 29.36 
 
 1 94.42 
 
 29.7711 94.29 
 
 3o.i8 
 
 99 
 
 28.82 
 
 29.24 
 
 95.50 
 
 29. 65 
 
 95.37 
 
 30.07 
 
 95.24 
 
 30.49 
 
 100 
 
 1 
 
 g 
 
 a 
 a 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 Lat. 
 
 Dop. 
 
 Lat. 
 
 Dep. 
 
 Lat 
 
 731^ Deg. 
 
 73 Deg. 
 
 72% Deg. 
 
 72K Deg. 
 
 72% Deg. 
 
 72 Deg. 
 
IGO 
 
 Traverse Table. 
 
 2 
 
 i 
 
 18>^ Deg. 
 
 18K Deg. 
 
 18% Deg. 
 
 19 Deg. 
 
 19% Deg. 
 
 mA Deg. 
 
 
 
 D 
 a 
 
 I 
 
 Lat. 
 
 Dep. 1 
 o.3i 
 
 I>at. 
 
 Dep. 
 0.32 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 0.33 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 0.g5 
 
 0.95 
 
 0.95 
 
 0.32 
 
 0.95 
 
 0.94 
 
 0.33 
 
 0.94 
 
 0.33 
 
 2 
 
 1.90 
 
 0.63 
 
 1.90 
 
 0.63 
 
 1.89 
 
 0.64 
 
 1.89 
 
 0.65 
 
 1.89 
 
 0.66 
 
 1.89 
 
 0.67 
 
 2 
 
 3 
 
 2.85 
 
 0.94' 
 
 2.84 
 
 0.95 
 
 2.84 
 
 0.96 
 
 2.84 
 
 0.98 
 
 2.83 
 
 0.99 
 
 2.83 
 
 1. 00 
 
 3 
 
 4 
 
 3.80 
 
 I.25| 
 
 3.79 
 
 1.27 
 
 3.79 
 
 1.29 
 
 3.78 
 
 i.3o 
 
 3.78 
 
 1.32 
 
 3.77 
 
 1.34 
 
 4 
 
 5 
 
 4.75 
 
 1.57 
 
 4.74 
 
 1.59 
 
 4.73 
 
 I.6I 
 
 4.73 
 
 1.63 
 
 4.72 
 
 1.65 
 
 4.71 
 
 1.67 
 
 5 
 
 6 
 
 5.70 
 
 1.88 
 
 5.69 
 
 1.90 
 
 5.68 
 
 1.93 
 
 5.67 
 
 1.95 
 
 5.66 
 
 1.98 
 
 5.66 
 
 2.00 
 
 6 
 
 7 
 
 6.65 
 
 2.IQ 
 
 6.64 
 
 2.22 
 
 6.63 
 
 2.25 
 
 6.62 
 
 2.28 
 
 6.61 
 
 2.3l 
 
 6.60 
 
 2.34 
 
 7 
 
 / 
 
 8 
 
 7.60 
 
 2.5l 
 
 7.59 
 
 2.54 
 
 7.58 
 
 2.57 
 
 7.56 
 
 2.60 
 
 7.55 
 
 2.64 
 
 7.54 
 
 2.67 
 
 8 
 
 9 
 
 8.55 
 
 2.82 
 
 8.53 
 
 2.86 
 
 8.52 
 
 2.89 
 
 8.5i 
 
 2.93 
 
 8.5o 
 
 2.97 
 
 8.48 
 
 3.00 
 
 9 
 
 lO 
 
 9.50 
 
 3.i3 
 
 9.48 
 
 3.17 
 
 9.47 
 
 3.21 
 
 9.46 
 
 3.26 
 
 9.44 
 
 3.3o 
 
 9.43 
 
 3.34 
 
 10 
 
 II 
 
 10.45 
 
 3.44 
 
 10.43 
 
 3.49 
 
 10.42 
 
 3.54 
 
 10.40 
 
 3.58 
 
 10. 38 
 
 3.63 
 
 10.37 
 
 3.67 
 
 II 
 
 12 
 
 11.40 
 
 3.76 
 
 11.38 
 
 3.81 
 
 11.36 
 
 3.86 
 
 11.35 
 
 3.91 
 
 11.33 
 
 3.96 
 
 11. 3i 
 
 4.01 
 
 12 
 
 i3 
 
 12.35 
 
 4.07 
 
 12.33 
 
 4.12 
 
 12. 3i 
 
 4.18 
 
 12.29 
 
 4.23 
 
 12.27 
 
 4.29 
 
 12.25 
 
 4.34 
 
 i3 
 
 i4 
 
 i3.3o 
 
 4.38 
 
 13.28 
 
 4.44 
 
 13.26 
 
 4.5o 
 
 13.24 
 
 4.56 
 
 l3.22 
 
 4.62 
 
 l3.20 
 
 4.67 
 
 i4 
 
 i5 
 
 i4.25 
 
 4.70 
 
 14.22 
 
 4.76 
 
 l4.20 
 
 4.82 
 
 14.18 
 
 4.88 
 
 14.16 
 
 4.95 
 
 i4.i4 
 
 5.01 
 
 i5 
 
 i6 
 
 l5.20 
 
 5.01 
 
 i5.i7 
 
 5.08 
 
 i5.i5 
 
 5.i4 
 
 i5.i3 
 
 5.21 
 
 i5.ii 
 
 5.28 
 
 i5.o8 
 
 5.34 
 
 16 
 
 I? 
 
 16. i4 
 
 5.32 
 
 16.12 
 
 5.39 
 
 16.10 
 
 5.46 
 
 16.07 
 
 5.53 
 
 16. o5 
 
 5.60 
 
 16.02 
 
 5.67 
 
 17 
 
 i8 
 
 17.09 
 
 5.64 
 
 17.07 
 
 5.71; 
 
 17.04 
 
 5.79 
 
 17.02 
 
 5.86 
 
 16.99 
 
 5.93 
 
 16.97 
 
 6.01 
 
 18 
 
 19 
 
 18.04 
 
 5.95 
 
 18.02 
 
 6.o3; 
 
 17.99 
 
 6. II 
 
 17.96 
 
 6.19 
 
 17.94 
 
 6.26 
 
 17.91 
 
 6.34 
 
 19 
 
 20 
 
 18.99 
 
 6.26 
 
 18.97 
 
 6.35 
 
 18.94 
 
 6.43 
 
 18.91 
 
 6.5i 
 
 18.88 
 
 6.59 
 
 i8.85 
 
 6.68 
 
 20 
 
 21 
 
 19.94 
 
 6.58 
 
 [9.91 
 
 6.66 
 
 19.89 
 
 6.75 
 
 19.86 
 
 6.84 
 
 19.83 
 
 6.92 
 
 19.80 
 
 7.01 
 
 21 
 
 22 
 
 20.89 
 
 6.89' 
 
 20.86 
 
 6.98, 
 
 20.83 
 
 7.07 
 
 20.80 
 
 7.16 
 
 20.77 
 
 7.25 
 
 20.74 
 
 7.34 
 
 22 
 
 23 
 
 21.84 
 
 7.20; 
 
 21.81 
 
 7.3o 
 
 21.78 
 
 7.39 
 
 21.75 
 
 7-49 
 
 21.71 
 
 7.58 
 
 21.68 
 
 7.68 
 
 23 
 
 24 
 
 22.79 
 
 7.52 
 
 22.76 
 
 7.62 
 
 22.73 
 
 7.71 
 
 22.69 
 
 7.81 
 
 22.66 
 
 7.91 
 
 22.62 
 
 8.01 
 
 24 
 
 25 
 
 23.74 
 
 7.83 
 
 23.71 
 
 7.93 
 
 23.67 
 
 8.04 
 
 23.64 
 
 8.i4 
 
 23.60 
 
 8.24 
 
 23.57 
 
 8.35 
 
 25 
 
 26 
 
 24.69 
 
 8.i4 
 
 24.66 
 
 8.25 
 
 24.62 
 
 8.36 
 
 24.58 
 
 8.46 
 
 24.55 
 
 8.57 
 
 24.5i 
 
 8.68 
 
 26 
 
 27 
 
 25.64 
 
 8.46 
 
 25.60 
 
 8.57 
 
 25.57 
 
 8.68 
 
 25.53 
 
 8.79 
 
 25.49 
 
 8.90 
 
 25.45 
 
 9.01 
 
 27 
 
 28 
 
 26.59 
 
 8.77 
 
 26.55 
 
 8.88 
 
 26.51 
 
 9.00 
 
 26.47 
 
 9.12 
 
 26.43 
 
 9.23 
 
 26.39 
 
 9.35 
 
 28 
 
 29 
 
 27.54 
 
 9.08 
 
 27.50 
 
 9.20 
 
 27.46 
 
 9.32 
 
 27.42 
 
 9.44 
 
 27.38 
 
 9.56 
 
 27.34 
 
 9.68 
 
 29 
 
 3o 
 
 28.49 
 
 9.39 
 
 28.45 
 
 9.52 
 
 28.41 
 
 9.64 
 
 28.37 
 
 9-77 
 
 28.32 
 
 9.89 
 
 28.28 
 
 10.01 
 
 3o 
 
 3i 
 
 29.44 
 
 9.71 
 
 29.40 
 
 9-84 
 
 29.35 
 
 9.96 
 
 29.31 
 
 10.09 
 
 29.27 
 
 10.22 
 
 29.22 
 
 10.35 
 
 3i 
 
 32 
 
 30.39 
 
 10.02 
 
 3o.35 
 
 10. i5 
 
 3o.3o 
 
 10.29 
 
 30.26 
 
 10.42 
 
 3o.2i 
 
 10.55 
 
 3o.i6 
 
 10.68 
 
 32 
 
 33 
 
 31.34 
 
 10.33 
 
 31.29 
 
 10.47 
 
 31.25 
 
 10.61 
 
 3l.20 
 
 10.74 
 
 3i.i5 
 
 10.88 
 
 3i.ii 
 
 11.02 
 
 33 
 
 34 
 
 32.29 
 
 10. 65 
 
 32.24 
 
 10.79 
 
 32.20 
 
 10.93 
 
 32.15 
 
 11.07 
 
 32.10 
 
 II. 21 
 
 32.o5 
 
 11.35 
 
 34 
 
 35 
 
 33.24 
 
 10.96 
 
 33.19 
 
 II. II 
 
 33.14 
 
 11.25 
 
 33.09 
 
 11.39 
 
 33.04 
 
 11,54 
 
 32.99 
 
 11.68 
 
 35 
 
 36 
 
 34.19 
 
 11.27 
 
 34.14 
 
 11.42 
 
 34.09 
 
 11.57 
 
 34.04 
 
 11.72 
 
 33.99 
 
 11.87 
 
 33.94 
 
 12.02 
 
 36 
 
 37 
 
 35.14 
 
 11.59 
 
 35.09 
 
 11.74 
 
 35.04 
 
 11.89 
 
 34.98 
 
 12. o5 
 
 34.93 
 
 12.20 
 
 34.88 
 
 12.35 
 
 37 
 
 38 
 
 36.09 
 
 11.90 
 
 36.04 
 
 12.06 
 
 35.98 
 
 12.21 
 
 35.93 
 
 12.37 
 
 35.88 
 
 12.53 
 
 35.82 
 
 12.68 
 
 38 
 
 39 
 
 37.04 
 
 12.21 
 
 36.98 
 
 12.37 
 
 36.93 
 
 12.54 
 
 36.88 
 
 12.70 
 
 36.82 
 
 12.86 
 
 36.76 
 
 l3.02 
 
 39 
 
 4o 
 
 37.99 
 
 12.53 
 
 37.93 
 
 12.69 
 
 37.88 
 
 12.86 
 
 37.82 
 
 l3.02 
 
 37.76 
 
 13.19 
 
 37.71 
 
 13.35 
 
 4o 
 
 4i 
 
 38.94 
 
 12.84 
 
 38.88 
 
 i3.oi 
 
 38.82 
 
 i3.i8 
 
 38.77 
 
 13.35 
 
 38.71 
 
 i3.52 
 
 38.65 
 
 13.69 
 
 4i 
 
 42 
 
 39.89 
 
 i3.i5 
 
 39.83 
 
 i3.33 
 
 39.77 
 
 i3.5o 
 
 39.71 
 
 13.67 
 
 39.65 
 
 i3.85 
 
 39.59 
 
 14.02 
 
 42 
 
 43 
 
 40.84 
 
 13.47 
 
 40.78 
 
 i3.64 
 
 40.72 
 
 13.82 
 
 40.66 
 
 i4.oo 
 
 4o.6o 
 
 14.18 
 
 40.53 
 
 14.35 
 
 43 
 
 44 
 
 41.79 
 
 13.78 
 
 41.73 
 
 13.96 
 
 41.66 
 
 i4.i4 
 
 4i.6o 
 
 14.32 
 
 41.54 
 
 i4.5i 
 
 41.48 
 
 14.69 
 
 44 
 
 45 
 
 42.74 
 
 14.09 
 
 42.67 
 
 14.28 
 
 42.61 
 
 14.46 
 
 42.55 
 
 i4.65 
 
 42.48 
 
 14.84 
 
 42.42 
 
 l5.02 
 
 45 
 
 46 
 
 43.69 
 
 i4.4i 
 
 43.62 
 
 i4.6o 
 
 43.56 
 
 14.79 
 
 43.49 
 
 14.98 
 
 43.43 
 
 i5.i7 
 
 43.36 
 
 i5.36 
 
 46 
 
 47 
 
 44.64 
 
 14.72 
 
 44.57 
 
 14.91 
 
 44.5i 
 
 i5.ii 
 
 44.44 
 
 i5.3o 
 
 44.37 
 
 i5.5o 
 
 44. 3o 
 
 15.69 
 
 47 
 
 48 
 
 45.59 
 
 i5.o3 
 
 45.52 
 
 i5.23 
 
 45.45 
 
 i5.43 
 
 45.38 
 
 i5.63 
 
 45.32 
 
 i5.83 
 
 45.25 
 
 16.02 
 
 48 
 
 49 
 
 46.54 
 
 i5.35 
 
 46.47 
 
 i5.55 
 
 46.4o 
 
 15.75 
 
 46.33 
 
 15.95 
 
 46.26 
 
 i6.i5 
 
 46.19 
 
 i6.36 
 
 49 
 
 5o 
 
 a 
 1 
 
 47.48 
 
 i5.66 
 Lat. 
 
 47.42 
 Dep. 
 
 15.87 
 
 I.at. 
 
 47.35 
 
 Dep. 
 
 16.07 
 
 47.28 
 
 16.28 
 
 47.20 
 
 16.48 
 
 47.13 
 
 16.69 
 
 5o 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 IM. 
 
 g 
 
 a 
 a 
 
 CO 
 
 a 
 
 1 
 
 71% Deg. 
 
 n^ Deg. 
 
 71M Deg. 
 
 71 Deg. 
 
 70% Deg. 
 
 70M Deg. 
 
Traverse Table. 
 
 161 
 
 2 
 
 CO 
 
 a 
 a 
 p 
 
 5i 
 
 183^ Deg. 
 
 181^ Deg. 
 
 18% Deg. 
 
 19 Deg. 
 
 19% Deg. 
 
 19^^ Deg. 
 
 a 
 n 
 9 
 
 5i 
 
 Lat. 
 
 48.43 
 
 Dep. 
 
 Lat. 
 
 Uep. 
 
 Lat 
 
 Dep. 
 16.39 
 
 Lat. 1 Dep. 
 
 Lat 
 
 Dep. 
 
 Lat 
 
 Dep. 
 
 15.97 
 
 48.36 
 
 16.18 
 
 48.29 
 
 48.22 
 
 16.60 
 
 48.15 
 
 16.81 
 
 48.07 
 
 17.0^ 
 
 52 
 
 49.38 
 
 16.28; 
 
 1 
 
 49.31 
 
 i6.5o 
 
 49.24 
 
 16.71 
 
 49.17 
 
 16.93 
 
 49.09 
 
 17.14 
 
 49.02 
 
 17.36 
 
 52 
 
 53 
 
 5o.33 
 
 16.60 
 
 5o.26 
 
 16.82 
 
 50.19 
 
 17.04 
 
 5o.i I 
 
 17.26 
 
 5o.o4 
 
 17.47 
 
 49.96 
 
 17.61, 
 
 53 
 
 54 
 
 51.28 
 
 16.91 
 
 5l.2I 
 
 17.13 
 
 5i.i3 
 
 17.36 
 
 5 1.06 
 
 17.58 
 
 50.98 
 
 17.80 
 
 50.90 
 
 i8.ob 
 
 54 
 
 55 
 
 52.23 
 
 17.22 
 
 52.16 
 
 17.45 
 
 52.08 
 
 17.68 
 
 52.00 
 
 17.91 
 
 51.92 
 
 i8.i3 
 
 51.85 
 
 18. 36 
 
 55 
 
 56 
 
 53.18 
 
 1754 
 
 53.11 
 
 17.77 
 
 53.03 
 
 18.00 
 
 52.95 
 
 18.23 
 
 52.87 
 
 18.46 
 
 52.79 
 
 18.6c, 
 
 56 
 
 ^7, 
 
 54.13 
 
 17.85 
 
 54.05 
 
 18.09 
 
 53.98 
 
 18.32 
 
 53.89 
 
 i8.56 
 
 53.81 
 
 18.79 
 
 53.73 
 
 19.03 
 
 57 
 
 58 
 
 55.08 
 
 18.16 55.00 
 
 18.40, 
 
 54.92 
 
 18.64 
 
 54.84 
 
 18.88 
 
 54.76 
 
 1 9. 1 2 
 
 54.67 
 
 19.36 
 
 58 
 
 59 
 
 56.03 
 
 18.48155.95 
 
 18.72 
 
 55.87 
 
 18.96 
 
 55.79 
 
 19.21 
 
 55.70 
 
 19.45 
 
 55.62 
 
 19.69 
 
 59 
 
 6o 
 
 56.98 
 
 18.79 
 
 :)6.9o 
 
 19.04 
 
 56.82 
 
 19.29 
 
 56.73 
 
 19.53 
 
 56.65 
 
 19.78 
 
 56.56 
 
 2o.o3 
 
 60 
 
 6i 
 
 57.93 
 
 19.10 
 
 57.85 
 
 19.36 
 
 57.76 
 
 19.61 
 
 57.68 
 
 19.86 
 
 57.59 
 
 20.1 1 
 
 57.50 
 
 20.36 
 
 61 
 
 62 
 
 58.88 
 
 i9-42i 
 
 58.8o 
 
 19.67 
 
 58.71 
 
 19.93 
 
 58.62 
 
 20.19 
 
 58.53 
 
 20.44 
 
 58.44 
 
 20.711 
 
 62 
 
 63 
 
 59.83 
 
 19.731 
 
 59.74 
 
 19.99 
 
 59.66 
 
 20.25 
 
 59.57 
 
 20. 5i 
 
 59.48 
 
 20.77 
 
 59.39 
 
 21.o3 
 
 63 
 
 64 
 
 60.78 
 
 20. o4 
 
 60.69 
 
 20. 3i 
 
 60.60 
 
 20.57 
 
 60. 5i 
 
 20.84 
 
 60.42 
 
 21.10 
 
 60.33 
 
 21.36 
 
 64 
 
 65 
 
 61.73 
 
 20.36 
 
 61.64 
 
 20.62 
 
 61.55 
 
 20.89 
 
 61.46 
 
 21.16 
 
 61.37 
 
 21.43 
 
 61.27 
 
 21.70 
 
 65 
 
 66 
 
 62.68 
 
 20.67 
 
 62.59 
 
 20.94; 
 
 62. 5o 
 
 21.22 
 
 62.40 
 
 21.49 
 
 62.31 
 
 21.76 
 
 62.21 
 
 22. o3 
 
 66 
 
 67 
 
 63.63 
 
 20.98 
 
 63.54 
 
 21.26, 
 
 63.44 
 
 21.54 
 
 63.35 
 
 21.81 
 
 63.25 
 
 22.09 
 
 63.16 
 
 22.37 
 
 67 
 
 68 
 
 64.58 
 
 21. 3o 
 
 64.49 
 
 21.58 
 
 64.39 
 
 21.86 
 
 64.3o 
 
 22.14 
 
 64.20 
 
 22.42 
 
 64.10 
 
 22.70 
 
 68 
 
 69 
 
 65.53 
 
 21.61 
 
 65.43 
 
 21.89: 
 
 65.34 
 
 22.18 
 
 65.24 
 
 22.46 
 
 65.14 
 
 22.75 
 
 65.04 
 
 23. o3 
 
 69 
 
 70 
 
 66.48 
 
 21.92 
 
 66.38 
 
 22.21 
 
 66.29 
 
 22. 5o 
 
 66.19 
 
 22.79 
 
 66.09 
 
 23.08 
 
 65.98 
 
 23.37 
 
 70 
 
 71 
 
 67.43 
 
 22.23 
 
 67.33 
 
 22.53 
 
 67.23 
 
 22.82 
 
 67.13 
 
 23.12 
 
 67.03 
 
 23.4i 
 
 66.93 
 
 23.70 
 
 71 
 
 72 
 
 68.38 
 
 22.55j 
 
 68.28 
 
 22.85: 
 
 68.18 
 
 23.14 
 
 68.08 
 
 23.44 
 
 67.97 
 
 23.74 
 
 67.87 
 
 24.o3 
 
 72 
 
 73 
 
 69 33 
 
 22.86 
 
 69.23 
 
 23.16 
 
 69.13 
 
 23.47 
 
 69.02 
 
 23.77 
 
 68.92 
 
 24.07 
 
 68.81 
 
 24.37 
 
 73 
 
 74 
 
 70.28 
 
 23.17 
 
 70.18 
 
 23.48 
 
 70.07 
 
 23.79 
 
 69.97 
 
 24.09 
 
 69.86 
 
 24.40 
 
 69.76 
 
 24.70 
 
 74 
 
 75 
 
 71.23 
 
 23.49 
 
 71.12 
 
 23.80 
 
 71.02 
 
 24.11 
 
 70.91 
 
 24.42 
 
 70.81 
 
 24.73 
 
 70.70 
 
 25.04 
 
 75 
 
 76 
 
 72.18 
 
 23.80 
 
 72.07 
 
 24.12 
 
 71-97 
 
 24.43 
 
 71.86 
 
 24.74 
 
 71.75 
 
 25.06 
 
 71.64 
 
 25.37 
 
 76 
 
 77 
 
 73.13 
 
 24.1 1 
 
 73.02 
 
 24.43| 
 
 72.91 
 
 24.75 
 
 72.80 
 
 25.07 
 
 72.69 
 
 25.39 
 
 72.58 
 
 25.70 
 
 77 
 
 78 
 
 74.08 
 
 24.43 
 
 73.97 
 
 24.75 
 
 73.86 
 
 25.07 
 
 73.75 
 
 25.39 
 
 73.64 
 
 25.72 
 
 73.53 
 
 26.04 
 
 78 
 
 79 
 
 75.03 
 
 24.74: 
 
 74.92 
 
 25.07 
 
 74.81 
 
 25.39 
 
 74.70 
 
 25.72 
 
 74.58 
 
 26.05 
 
 74.47 
 
 26.37 
 
 79 
 
 80 
 
 75.98 
 
 2 5.o5| 
 
 75.87 
 
 25.38 
 
 75.75 
 
 25.72 
 
 75.64 
 
 26.05 
 
 75.53 
 
 26.38 
 
 75.41 
 
 26.70 
 
 80 
 
 81 
 
 76.93 
 
 25.37 
 
 76.81 
 
 25.70 
 
 76.70 
 
 26.04 
 
 76.59 
 
 26.37 
 
 76.47 
 
 26.70 
 
 76.35 
 
 27.04 
 
 81 
 
 82 
 
 77.88 
 
 25.68, 
 
 77.76 
 
 26.02 
 
 77.65 
 
 26.36 
 
 77.53 
 
 26.70 
 
 77.42 
 
 27.03 
 
 77.3o 
 
 27.37 
 
 82 
 
 83 
 
 78.83 
 
 25.99' 
 
 78.71 
 
 26.34 
 
 78.60 
 
 26.68 
 
 78.48 
 
 27.02 
 
 78.36 
 
 27.36 
 
 78.24 
 
 27.71 
 
 83 
 
 84 
 
 79-77 
 
 26.31, 
 
 79.66 
 
 26.65 
 
 79-54 
 
 27.00 
 
 79.42 
 
 27.35 
 
 79.30 
 
 27.69 
 
 79.18 
 
 28.04 
 
 84 
 
 85 
 
 80.72 
 
 26.62 
 
 80.61 
 
 26.97 
 
 80.49 
 
 27.32 
 
 80.37 
 
 27.67 
 
 80.25 
 
 28.02 
 
 80.12 
 
 28.37 
 
 85 
 
 86 
 
 81.67 
 
 26.93 
 
 8i.56 
 
 27.29 
 
 81.44 
 
 27.64 
 
 8i.3i 
 
 28.00 
 
 81.19 
 
 28.35 
 
 81.07 
 
 28.71 
 
 86 
 
 87 
 
 82.62 
 
 27.25 
 
 82.50 
 
 27.61 
 
 82.38 
 
 27.97 
 
 82.26 
 
 28.32 
 
 82.14 
 
 28.68 
 
 82.01 
 
 29.04 
 
 87 
 
 88 
 
 83.57 
 
 27.56 
 
 83.45 
 
 27.92 
 
 83.33 
 
 28.29 
 
 83.21 
 
 28.65; 83.08 
 
 29.01 
 
 82.95 
 
 29.37 
 
 88 
 
 89 
 
 84.52 
 
 27.87' 
 
 84.4o 
 
 28.24 
 
 84.28 
 
 28.61 
 
 84. i5 
 
 28.98 84.02 
 
 29.34 
 
 83.90 
 
 29.71 
 
 89 
 
 90 
 
 85.47 
 
 28.18 
 
 85.35 
 
 28.56 
 
 85.22 
 
 28.93 
 
 85. 10 
 
 29.30 
 
 84.97 
 
 29.67 
 
 84.84 
 
 3o.o4 
 
 90 
 
 91 
 
 86.42 
 
 28.50 
 
 86.3o 
 
 28.87 
 
 86.17 
 
 1 
 29.25 
 
 86.04 
 
 29.63 
 
 85.91 
 
 3o.oo 
 
 85.78 
 
 3o.38 
 
 91 
 
 92 
 
 87.37 
 
 28.81 
 
 87.25 
 
 29.19, 
 
 87.12 
 
 29.57 
 
 86.99 
 
 29.95 
 
 86.86 
 
 3o.33 
 
 86.72 
 
 30.71 
 
 92 
 
 93 
 
 88.32 
 
 29.12 
 
 88.19 
 
 29.51 
 
 88.06 
 
 29.89 
 
 87.93 
 
 30.28 
 
 87.80 
 
 30.66 
 
 87.67 
 
 3i.o4 
 
 93 
 
 94 
 
 89.27 
 
 29.44 
 
 89.14 
 
 29.83 
 
 89.01 
 
 30.22 
 
 88.88 
 
 3o.6o 
 
 88.74 
 
 30.99 
 
 88.61 
 
 31.38 
 
 94 
 
 95 
 
 90.22 
 
 29.75 
 
 90.09 
 
 3o.i4 
 
 89.96 
 
 30.54 
 
 89.82 
 
 30.93 
 
 89.69 
 
 31.32 
 
 89.55 
 
 31.71 
 
 95 
 
 96 
 
 91.17 
 
 3o.o6 
 
 91.04 
 
 30.46 
 
 90.91 
 
 30.86 
 
 90.77 
 
 31.25 
 
 90.63 
 
 31.65 
 
 90.49 
 
 32.o5 
 
 96 
 
 97 
 
 92.12 
 
 30.38 
 
 91.99 
 
 30.78 
 
 91.85 
 
 3i.i8 
 
 91.72 
 
 31.58 
 
 91.58 
 
 31.98 
 
 91.44 
 
 32.38 
 
 97 
 
 98 
 
 93.07 
 
 30.69 
 
 92.94 
 
 3i .10 
 
 92.80 
 
 3i.5o 
 
 92.66 
 
 31.91 
 
 92.52 
 
 32.3] 
 
 92.38 
 
 32.71 
 
 98 
 
 99 
 
 94.02 
 
 3 1. 00 
 
 93.88 
 
 3i.4i 
 
 93.75 
 
 31.82 
 
 93.61 
 
 32.23 
 
 93.46 
 
 32.64 
 
 93.32 
 
 33.o5 
 
 99 
 
 100 
 
 u 
 a 
 5 
 
 as 
 
 Q 
 
 94.97 
 
 31.32 
 
 94.83 
 
 31.73 
 
 j 94.69 
 Dep. 
 
 32. i4 
 
 94.55 
 
 32.56 
 
 94.41 
 
 32.97 
 
 94.26 
 
 Dep. 
 
 33.38 
 
 100 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Lat 
 
 Dep. 
 
 Lat 
 
 Dep. 
 
 Lat 
 
 Lat 
 
 S 
 
 1 
 
 00 
 
 Q 
 
 71% Deg. 
 
 nK Deg. 
 
 71K Deg. 
 
 1 
 1 
 
 71 Deg. 70X Deg. 
 
 i 
 
 70K Deg. 
 
162 
 
 Tkavekse Table. 
 
 ' s* 
 
 19% Deg. 1 
 
 20 Deg. 
 
 20>i Deg. 
 
 201^ Deg. 
 
 205^ Deg. 
 
 21 Deg. 
 
 
 
 i 
 
 I 
 
 UL 
 
 Dep. 1 
 
 IM. 
 
 Dep. 
 
 \M. Dep. 
 
 l.at. 
 
 Dep. 
 0.35 
 
 Lat 
 
 Dep. 
 
 J At 
 
 Dep. 
 
 I 
 
 0.94 
 
 1.88 
 
 0.34 
 
 0.94 
 
 0.34 
 
 0.941 0.35 
 
 0.94 
 
 0.94 
 
 0.35 
 
 0.93 
 
 0.36 
 
 o 
 
 0.68, 
 
 1.88 
 
 0.68 
 
 1.88 
 
 0.69I 
 
 1.87 
 
 0.70 
 
 1.87 
 
 0.71 
 
 1.87 
 
 0.72 
 
 2 
 
 3 
 
 2.82 
 
 1 .01 
 
 2.82 
 
 l.o3 
 
 2.81 
 
 i.o4 
 
 2.81 
 
 i.o5 
 
 2.81 
 
 1.06 
 
 2.80 
 
 1,08 
 
 3 
 
 4 
 5 
 
 4.71 
 
 1.35 
 
 3.76 
 
 1.37 
 
 3.75 
 
 1.38 
 
 3.75 
 
 i.4o 
 
 3.74 
 
 1.42 
 
 3.73 
 
 1.43 
 
 4 
 
 1.69 
 
 4.70 
 
 I.71 
 
 4.69 
 
 1.73 
 
 4.68 
 
 1.75 
 
 4.68 
 
 1.77 
 
 4.67 
 
 1.79 
 
 5 
 
 g 
 
 5.65 
 
 2.o3 
 
 5.64 
 
 2.o5 
 
 5.63 
 
 2.08 
 
 5.62 
 
 2.10 
 
 5.61 
 
 2.l3 
 
 5.60 
 
 2.l5 
 
 6 
 
 7 
 8 
 
 6.59 
 7.53 
 
 8.47 
 9.41 
 
 2.37, 
 
 2.70 
 
 6.58 
 
 2.39 
 
 6.57 
 
 2.42! 
 
 6.56 
 
 2.45 
 
 6.55 
 
 2.48 
 
 6.54 
 
 2.5l 
 
 7 
 
 7.52 
 
 2.74 
 
 7.5i 
 
 2.77 
 
 7.49 
 
 2.80 
 
 7.48 
 
 2.83 
 
 7.47 
 
 2.87 
 
 8 
 
 9 
 
 lO 
 
 3.o4 
 
 8.46 
 
 3.08 
 
 8.44 
 
 3.12 
 
 8.43 
 
 3.i5 
 
 8.42 
 
 3.19 
 
 8.4o 
 
 3.23 
 
 9 
 
 3.38 
 
 9.40 
 
 3.42 
 
 9.38 
 
 3.46 
 
 9.37 
 
 3.5o 
 
 9.35 
 
 3.54 
 
 9.34 
 
 3.58 
 
 10 
 
 II 
 
 10.35 
 
 3.72 
 
 10.34 
 
 3.76 
 
 10.32 
 
 3.81 
 
 10. 3o 
 
 3.85 
 
 10.29 
 
 3.90 
 
 10.27 
 
 3.94 
 
 11 
 
 12 
 
 11.29 
 
 12.24 
 
 4.06 
 
 11.28 
 
 4.10 
 
 11.26 
 
 4.i5 
 
 11.24 
 
 4.20 
 
 11.22 
 
 4.25 
 
 1 1.20 
 
 4.3o 
 
 12 
 
 i3 
 
 4.39' 
 
 12.22 
 
 4.45; 
 
 12.20 
 
 4.5o 
 
 12.18 
 
 4.55 
 
 12.16 
 
 4.61 
 
 12. i4 
 
 4.66 
 
 i3 
 
 i4 
 
 i3.i8 
 
 4.73 
 
 i3.i6 
 
 4.79 
 
 i3.i3 
 
 4.85 
 
 i3.ii 
 
 4.90 
 
 13.09 
 
 4.96 
 
 13.07 
 
 5.02 
 
 i4 
 
 i5 
 
 14.12 
 
 5.07 
 
 i4.io 
 
 5.i3 
 
 14.07 
 
 5.19 
 
 i4.o5 
 
 5.25 
 
 i4.o3 
 
 5.3i 
 
 14.00 
 
 5.38 
 
 i5 
 
 i6 
 
 i5.o6 
 
 5.4i 
 
 i5.o4 
 
 5.47 
 
 i5.oi 
 
 5.54 
 
 14.99 
 
 5.60 
 
 14.96 
 
 5.67 14.94 
 
 5.73 
 
 16 
 
 I? 
 i8 
 
 16.00 
 
 5.74 
 
 i5.97 
 
 5.81 
 
 15.95 
 
 5.88 
 
 15.92 
 
 5.95 
 
 15.90 
 
 6.02! 
 
 15.87 
 
 6.09 
 
 17 
 
 16.94 
 
 17.88 
 
 6.08 
 
 7 1 
 
 16.91 
 
 6.16 
 
 16.89 
 
 6.23 
 
 16.86 
 
 6.3o 
 
 16. 83 
 
 6.38 
 
 16.80 
 
 6.45 
 
 18 
 
 »9 
 
 20 
 
 6.42 
 
 17.85 
 
 6.5o 
 
 17.83 
 
 6.58 
 
 17.80 
 
 6.65 
 
 17.77 
 
 6.73 
 
 17.74 
 
 6.81 
 
 19 
 
 18.82 
 
 6.76 
 
 18.79 
 
 6.84| 
 
 18.76 
 
 6.92 
 
 18.73 
 
 7.00 
 
 18.70 
 
 7.09 
 
 18.67 
 
 7.17 
 
 20 
 
 21 
 
 19.76 
 
 7.10 
 
 .9.73 
 
 7.18 
 
 19.70 
 
 7.27 
 
 19.67 
 
 7.35 
 
 19.64 
 
 7.44 
 
 19,61 
 
 7.53 
 
 21 
 
 22 
 
 20.71 
 
 7.43 
 
 20.67 
 
 7.52 
 
 20.64 
 
 7.61 
 
 20.61 
 
 7.70 
 
 20.57 
 
 7.79 
 
 20.54 
 
 7.88 
 
 22 
 
 23 
 
 21.65 
 
 7-77 
 
 21.61 
 
 7.87 
 
 21.58 
 
 7.96 
 
 21.54 
 
 8.o5 
 
 21. 5i 
 
 8.i5 
 
 21.47 
 
 8.24 
 
 23 
 
 24 
 
 22.59 
 
 8.11 
 
 22.55 
 
 8.21 
 
 22.52 
 
 8.3i 
 
 22.48 
 
 8.4o 
 
 22.44 
 
 8.5o 
 
 22. 4i 
 
 8.60 
 
 24 
 
 25 
 
 23.53 
 
 8.45 
 
 23.49 
 
 8.55 
 
 23.45 
 
 8.65 
 
 23.42 
 
 8.76 
 
 23.38 
 
 8.86 
 
 23.34 
 
 8.96 
 
 25 
 
 26 
 
 24.47 
 
 8.79 
 
 24.43 
 
 8.89 
 
 24.39 
 
 9.00 
 
 24.35 
 
 9.11 
 
 24.3i 
 
 9.21 
 
 24.27 
 
 9.32 
 
 26 
 
 27 
 
 25.41 
 
 ' ' 1 
 
 9.121 
 
 25.37 
 
 9.23 
 
 25.33 
 
 9.35j 
 
 25.29 
 
 9.46 
 
 25.25 
 
 9.57 
 
 25.21 
 
 9.68 
 
 27 
 
 28 
 
 26.35 
 
 9.46 
 
 26.31 
 
 9.58 
 
 26.27 
 
 9.69! 
 
 26.23 
 
 9.81 
 
 26.18 
 
 9.92 
 
 26.14 
 
 io.o3 
 
 28 
 
 29 
 
 27.29 
 
 9.80 
 
 27.25 
 
 9.92 
 
 27.21 
 
 10. o4 
 
 27.16 
 
 10. t6 
 
 27.12 
 
 10.27 
 
 27.07 
 
 10.39 
 
 29 
 
 So 
 
 28.24 
 
 10. i4 
 
 28.19 
 
 10.26 
 
 28.15 
 
 10. 38 
 
 28.10 
 
 10. 5i 
 
 28.05 
 
 10.63 
 
 28.01 
 
 10.75 
 
 3o 
 
 3i 
 
 29.18 
 
 I0.48 
 
 2Q.l3 
 
 10.60 
 
 29.08 
 
 10.73 
 
 29.04 
 
 10.86 
 
 28.99 
 
 10.98 
 
 28.94 
 
 11. II 
 
 3i 
 
 32 
 
 3o.I2 
 
 to. 81 |3o.07 
 
 10.94 
 
 3o.o2 
 
 11.08 
 
 29.97 
 
 1 1.21 
 
 29.92 
 
 11.34 
 
 29.87 
 
 11.47 
 
 32 
 
 33 
 
 3 1. 06 
 
 ,11. i5 
 
 3i.oi 
 
 11.29 
 
 30.96 
 
 11.42 
 
 30.91 
 
 11.56 
 
 30.86 
 
 1 1.69 
 
 3o.8i 
 
 11.83 
 
 33 
 
 34 
 
 32.00 
 
 11.49 
 
 31.95 
 
 11.63 
 
 31.90 
 
 11.77 
 
 31.85 
 
 11.91 
 
 31.79 
 
 12. o5 
 
 31.74 
 
 12.18 
 
 34 
 
 35 
 
 32.94 
 
 11.83 
 
 32.89 
 
 11.97 
 
 32.84 
 
 12.1 1 
 
 32.78 
 
 12.26 
 
 32.73 
 
 12.4o 
 
 32.68 
 
 12.54 
 
 35 
 
 36 
 
 33.88 
 
 12.17 
 
 33.83 
 
 12. 3i 
 
 33.77 
 
 12.46 
 
 33.72 
 
 12.61 
 
 33.66 
 
 12.75 
 
 33.61 
 
 12.90 
 
 36 
 
 37 
 
 34.82 
 
 12. 5o 
 
 34.77 
 
 12.65 
 
 34.7> 
 
 12.81 
 
 34.66 
 
 12.96 
 
 34.60 
 
 i3.iil; 34.54 
 
 13.26 
 
 |37 
 
 38 
 
 35.76 
 
 12.84 
 
 35.71 
 
 i3.oo 
 
 35.65 
 
 i3.i5 
 
 35.59 
 
 i3.3i 
 
 35.54 
 
 13.46 
 
 35.48 
 
 13.62 
 
 ! 38 
 
 39 
 
 36.71 
 
 i3.i8 
 
 36.65 
 
 i3.34 
 
 36.59 
 
 i3.5o 
 
 36.53 
 
 i3.66 
 
 36.47 
 
 13.82 
 
 36.41 
 
 13.98 
 
 39 
 
 40 
 
 37.65 
 
 i3.52 
 
 37.59 
 
 i3.68 
 
 37.53 
 
 i3.84 
 
 37.47 
 
 i4.oi 
 
 37.41 
 
 14.17 
 
 37.34 
 
 14.33 
 
 4o 
 
 4i 
 
 38.59 
 
 ) 13.85 
 
 38.53 
 
 l4.02 
 
 38.47 
 
 14.19 
 
 38.4c 
 
 i4.36 
 
 38.34 
 
 14.53 
 
 38.28 
 
 14.69 
 
 4i 
 
 43 
 
 39.52 
 
 ! 14.19 
 
 39.47 
 
 i4.36 
 
 39.40 
 
 14.54 
 
 39.34 
 
 14.71 
 
 39.28 
 
 i4.88 
 
 39.21 
 
 i5.o5 
 
 '42 
 
 1 . n. 
 
 43 
 
 4o.4] 
 
 1 14.53 
 
 4o.4i 
 
 14.71 
 
 40.34 
 
 14.88 
 
 40.2S 
 
 i5.o6 
 
 40.21 
 
 i5.23 
 
 4o.i4 
 
 i5.4i 
 
 ! 43 
 
 44 
 
 4t.4i 
 
 14.87 
 
 4i.3c 
 
 i5.o5 
 
 41.28 
 
 i5.23 
 
 41.21 
 
 1 5.4 1 
 
 4i.i5 
 
 15.59 
 
 41.08 
 
 15.77 
 
 44 
 
 45 
 
 42. 3f 
 
 > l5.21 
 
 42.29 
 
 1 15.39 
 
 42.22 
 
 i5.58 
 
 42. iS 
 
 15.76 
 
 42.08 
 
 15.94 
 
 42.01 
 
 i6.i3 
 
 45 
 
 46 
 
 43.2c 
 
 ) i5M 
 
 43.2: 
 
 ! 15.73 
 
 43. if 
 
 ) 15.92 
 
 43.0c 
 
 ) 16.11 
 
 43.02 
 
 16. 3o 
 
 42.94 
 
 16.48 
 
 46 
 
 47 
 
 44.2. 
 
 i i5.8g 
 
 i 44.1- 
 
 } 16.07 
 
 44.0c 
 
 ) 16.27 
 
 44.0^ 
 
 ! 16.4c 
 
 43.95 
 
 i6.65 
 
 43.88 
 
 16.84 
 
 47 
 
 48 
 
 45.1? 
 
 i 16.22 
 
 45.1 
 
 16. 4c 
 
 45.0: 
 
 5 i6.6i 
 
 44.9^ 
 
 '■> 16.81 
 
 44.89 
 
 17.01 
 
 44.81 
 
 17.2c 
 
 48 
 
 49 
 
 46. 1 ; 
 
 2 i6.5e 
 
 ii 46.0^ 
 
 I 16. 7(: 
 
 ) 45.9- 
 
 7 16.96 
 
 1 45. 9( 
 
 1 i7.lt 
 
 45.82 
 
 17.36 
 
 45.75 
 
 i7.5e 
 
 49 
 
 5o 
 
 i 
 
 2 
 
 CO 
 
 5 
 
 47. o( 
 
 5 16.9c 
 
 ) 46.9S 
 
 3 17. IC 
 
 1 46.9 
 
 17.31 
 
 46.8; 
 
 3 17.51 
 
 46.76 
 
 ) 17.71 
 
 46.68 
 
 \ 17.92 
 
 5o 
 
 1 
 
 2 
 
 2 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat 
 
 Dep. 1 Lat 
 
 70K Deg. 
 
 70 Deg. 
 
 69?1 Deg. 
 
 69>^ Deg. 
 
 69^^ Deg. 
 
 69 Deg. 
 
Traverse Table. 
 
 163 
 
IG4: 
 
 
 
 
 T 
 
 RAVERSE Table 
 
 " 
 
 
 
 
 
 g 
 
 S 
 a 
 o 
 .» 
 
 21)4 Deg. 
 
 21 K Deg. 
 
 21% Deg. 
 
 23 Deg. 
 
 22% Deg. 
 
 22% Deg. 
 
 o 
 
 55' 
 ST 
 
 D 
 
 8 
 
 lAi. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 0.37 
 
 Lat. Dep. 
 
 Lat. 1 Dep. 
 
 Lat. 
 
 Dep. 
 
 0.93 
 
 1.86 
 
 0.36 
 
 0.93 
 
 0.37 
 
 0.93 
 
 0.93 
 
 0.37 
 
 0.93 
 
 0.38 
 
 0.92 
 
 0.38 
 
 I 
 
 2 
 
 0.72 
 
 1.86 
 
 0.73 
 
 1.86 
 
 0.74 
 
 1.85 
 
 0.75 
 
 1.85 
 
 0.76 
 
 1.85 
 
 0.77 
 
 2 
 
 3 
 
 2.80 
 
 / 
 
 1.09 
 
 1.45 
 
 2.79 
 
 1. 10 
 
 2.79 
 
 l.l I 
 
 2.78 
 
 1. 12 
 
 2.78 
 
 1.14 
 
 2.77 
 
 i.i5 
 
 3 
 
 4 
 
 3.73 
 4.66 
 
 3.72 
 
 1.47 
 
 3.72 
 
 1.48 
 
 3.71 
 
 i.5o 
 
 3.70 
 
 i.5i 
 
 3.70 
 
 1.53 
 
 4 
 
 5 
 
 I.8I 
 
 4.65 
 
 1.83 
 
 4.64 
 
 1.85 
 
 4.64 
 
 1.87 
 
 4.63 
 
 1.89 
 
 4.62 
 
 1.91 
 
 5 
 
 6 
 
 5.59 
 6.52 
 
 2.17 
 
 2.54 
 
 5.58 
 
 2.20 
 
 5.57 
 
 2.22 
 
 5.56 
 
 2.25 
 
 5.55 
 
 2.27 
 
 5.54 
 
 2.3o 
 
 6 
 
 7 
 
 8 
 
 6.5i 
 
 2.57 
 
 6.5o 
 
 2.59 
 
 6.49 
 
 2.62 
 
 6.48 
 
 2.65 
 
 6.47 
 
 2.68 
 
 7 
 
 7.46 
 8.39 
 9.32 
 
 2.90 
 
 7.44 
 
 2.93 
 
 7.43 
 
 2.96 
 
 7.42 
 
 3.00 
 
 7.40 
 
 3.o3 
 
 7.39 
 
 3.06 
 
 8 
 
 9 
 ro 
 
 3.26 
 3.62 
 
 8.37 
 9.30 
 
 3.3o 
 3.67 
 
 8.36 
 9.29 
 
 3.34 
 3.71 
 
 8.34 
 9.27 
 
 3.37 
 3.75 
 
 8.33 
 9.26 
 
 3.4i 
 3.79 
 
 8.3i 
 9.24 
 
 3.44 
 3.83 
 
 9 
 10 
 
 1 1 
 
 10.25 
 
 3.99 
 
 10.23 
 
 4.o3 
 
 10.22 
 
 4.08 
 
 10.20 
 
 4.12 
 
 10.18 
 
 4.17 
 
 10.16 
 
 4.21 
 
 II 
 
 12 
 
 II. 18 
 
 4.35 
 
 II. 17 
 
 4.40 
 
 II. i5 
 
 4.45 
 
 II. i3 
 
 4.5o 
 
 II. 11 
 
 4.54 
 
 11.09 
 
 4.59 
 
 12 
 
 i3 
 
 12.12 
 
 4.71 
 
 12.10 
 
 4.76 
 
 12.07 
 
 4.82 
 
 12. o5 
 
 4.87 
 
 I2.o3 
 
 4.92 
 
 12.01 
 
 4.97 
 
 i3 
 
 i4 
 
 i3.o5 
 
 ^ 1 
 
 5.07 
 
 i3.o3 
 
 5.i3 
 
 i3.oo 
 
 5.19 
 
 12.98 
 
 5.24 
 
 12.96 
 
 5.3o 
 
 12.93 
 
 5.36 
 
 i4 
 
 i5 
 
 13.98 
 
 5.44 
 
 13.96 
 
 5.5o 
 
 13.93 
 
 5.56 
 
 13.91 
 
 5.62 
 
 13.88 
 
 5.68 
 
 i3.86 
 
 5.74 
 
 i5 
 
 i6 
 
 14.91 
 
 5.80 
 
 14.89 
 
 5.86 
 
 14.86 
 
 5.93 
 
 i4.83 
 
 5.99 
 
 14.81 
 
 6.06 
 
 14.78 
 
 6.12 
 
 16 
 
 17 
 
 1 5.84 
 
 6.16 
 
 i5.82 
 
 6.23 
 
 15.79 
 
 6.3o 
 
 15.76 
 
 6.37 
 
 15.73 
 
 6.44 
 
 15.71 
 
 6.5i 
 
 17 
 
 18 
 
 16.78 
 
 6.52 
 
 16.75 
 
 6.60 
 
 16.72 
 
 6.67 
 
 16.69 
 
 6.74 
 
 16.66 
 
 6.82 
 
 i6.63 
 
 6.89 
 
 18 
 
 19 
 
 17.71 
 
 6.89 
 
 17.68 
 
 6.96 
 
 17.65 
 
 7.04 
 
 17.62 
 
 7.12 
 
 17.59 
 
 7.19 
 
 17.55 
 
 7.27 
 
 19 
 
 7 
 
 20 
 
 18.64 
 
 7.25 
 
 18.61 
 
 7.33 
 
 18.58 
 
 7.41 
 
 18.54 
 
 7.49 
 
 18. 5i 
 
 7.57 
 
 18.48 
 
 7.65 
 
 20 
 
 21 
 
 19.57 
 
 7.61 
 
 19.54 
 
 7.70 
 
 19.50 
 
 7.78 
 
 19.47 
 
 7.87 
 
 19.44 
 
 795 
 
 19.40 
 
 8.o4 
 
 21 
 
 22 
 
 20. 5o 
 
 7-97 
 
 20.47 
 
 8.06 
 
 20.43 
 
 8.i5 
 
 20.40 
 
 8.24 
 
 20.36 
 
 8.33 
 
 20.33 
 
 8.42 
 
 22 
 
 23 
 
 21.44 
 
 8.34 
 
 21. 4o 
 
 8.43 
 
 21.36 
 
 8.52 
 
 21.33 
 
 8.62 
 
 21.29 
 
 8.71 
 
 21.25 
 
 8.80 
 
 23 
 
 24 
 
 22.37 
 
 8.70 
 
 22.33 
 
 8.80 
 
 22.29 
 
 8.89 
 
 22.25 
 
 8.99 
 
 22.21 
 
 9.09 
 
 22.17 
 
 9.18 
 
 24 
 
 25 
 
 23. 3o 
 
 9.06 
 
 23.26 
 
 9.16 
 
 23.22 
 
 9.26 
 
 23.18 
 
 9.37 
 
 23. i4 
 
 9.47 
 
 23.10 
 
 9.57 
 
 25 
 
 26 
 
 24.23 
 
 9.42 
 
 24.19 
 
 9.53 
 
 24. i5 
 
 9.63 
 
 24.1 I 
 
 9.74 
 
 24.06 
 
 9.84 
 
 24.02 
 
 9.95 
 
 26 
 
 27 
 
 25.16 
 
 9-79 
 
 25.12 
 
 9.90 
 
 25.08 
 
 10.01 
 
 25. o3 
 
 10. 1 1 
 
 24.99 
 
 10.22 
 
 24.94 
 
 10.33 
 
 27 
 
 28 
 
 26.10 
 
 10. i5 
 
 26.05 
 
 10.26 
 
 26.01 
 
 I0.38 
 
 25.96 
 
 10.49 
 
 25.92 
 
 10.60 
 
 25.87 
 
 10.72 
 
 28 
 
 29 
 
 27.03 
 
 10. 5i 
 
 26.98 
 
 10.63 
 
 26.94 
 
 10.75 
 
 26.89 
 
 10.86 
 
 26.84 
 
 10.98 
 
 26.79 
 
 11.10 
 
 29 
 
 3o 
 
 27.96 
 
 10.87 
 
 27.91 
 
 1 1. 00 
 
 27.86 
 
 II. 12 
 
 27.82 
 
 11.24 
 
 27.77 
 
 11.36 
 
 27.72 
 
 11.48 
 
 3o 
 
 3i 
 
 28.89 
 
 11.24 
 
 28.84 
 
 11.36 
 
 28.79 
 
 11.49 
 
 28.74 
 
 1 1. 6 1 
 
 28.69 
 
 11.74 
 
 28.64 
 
 11.86 
 
 3i 
 
 32 
 
 29.82 1 1.60 
 
 29.77 
 
 11.73 
 
 29.72 
 
 11.86 
 
 29.67 
 
 11.99 
 
 29.62 
 
 12.12 
 
 29.56 
 
 12.25 
 
 32 
 
 33 
 
 30.76 
 
 11.96 
 
 30.70 
 
 12.09 
 
 30.65 
 
 12.23 
 
 3o.6o 
 
 12.36 
 
 30.54 
 
 12. 5o 
 
 30.49 
 
 12.63 
 
 33 
 
 34 
 
 31.69 
 
 12.32 
 
 31.63 
 
 12.46 
 
 31.58 
 
 12.60 
 
 3i.52 
 
 12.74 
 
 31.47 
 
 12.87 
 
 3i.4i 
 
 i3.o] 
 
 34 
 
 35 
 
 32.62 
 
 12.69 
 
 32.56 
 
 12.83 
 
 32.5i 
 
 12.97 
 
 32.45 
 
 i3.ii 
 
 32.39 
 
 i3.25 
 
 32.34 
 
 13.39 
 
 35 
 
 36 
 
 33.55 
 
 i3.o5 
 
 33. 5o 
 
 13.19 
 
 33.44 
 
 13.34 
 
 33.38 
 
 i3.49 
 
 33.32 
 
 i3.63 
 
 33.26 
 
 13.78 
 
 36 
 
 37 
 
 34.48 
 
 i3.4i 
 
 34.43 
 
 i3.56 
 
 34.37 
 
 13.71 
 
 34. 3i 
 
 i3.86 
 
 34.24 
 
 14.01 
 
 34.18 
 
 14.16 
 
 37 
 
 38 
 
 35.42 
 
 13.77 
 
 35.36 
 
 13.93 
 
 35.29 
 
 14.08 
 
 35.23 
 
 14.24 
 
 35.17 
 
 14.39 
 
 35.11 
 
 14.54 
 
 38 
 
 39 
 
 36.35 
 
 i4.i4 
 
 36.29 
 
 14.29 
 
 36.22 
 
 14.45 
 
 36.16 
 
 14.61 
 
 36. 10 
 
 14.77 
 
 36.o3 
 
 14.92 
 
 39 
 
 4o 
 
 37.28 
 
 i4.5o 
 
 37.22 
 
 14.66 
 
 37.15 
 
 14.82 
 
 37.09 
 
 14.98 
 
 37.02 
 
 i5.i5 
 
 36.96 
 
 i5.3i 
 
 4o 
 
 4i 
 
 33.21 
 
 i4.86 
 
 38.15 
 
 i5.o3 
 
 38.08 
 
 15.19 
 
 38.01 
 
 i5.36 
 
 37.95 
 
 i5.52 
 
 37.88 
 
 15.69 
 
 4i 
 
 42 
 
 39.14 
 
 1 5.22 
 
 39.08 
 
 15.39 
 
 39.01 
 
 i5.56 
 
 38.94 
 
 15.73 
 
 38.87 
 
 15.90 
 
 38.8o 
 
 16.07 
 
 42 
 
 43 
 
 4o.o8 
 
 i5.58 
 
 1 4o.oi 
 
 15.76 
 
 39.94 
 
 15.93 
 
 39.87 
 
 16. 1 1 
 
 39.80 
 
 16.28 
 
 39.73 
 
 16.46 
 
 43 
 
 44 
 
 4i.oi 
 
 15.95 
 
 40.9^ 
 
 16. i3 
 
 40.87 
 
 16. 3o 
 
 40.80 
 
 16.48 
 
 40.72 
 
 16.66 
 
 40.65 
 
 16.84 
 
 44 
 
 45 
 
 41.94 
 
 i6.3i 
 
 41.87 
 
 16.49 
 
 4i.8o 
 
 16.68 
 
 41.72 
 
 16.86 
 
 4i.65 
 
 17.04 
 
 41.57 
 
 17.22 
 
 45 
 
 46 
 
 42.87 
 
 16.67 
 
 42.8c 
 
 ) 16.86 
 
 42.73 
 
 17.05 
 
 42.65 
 
 17.23 
 
 42.57 
 
 17.42 
 
 42. 5o 
 
 17.60 
 
 46 
 
 47 
 
 43.80 
 
 17.03 
 
 43.7: 
 
 ! 17.23 
 
 43.65 
 
 17.42 
 
 43.58 
 
 17.61 
 
 43. 5o 
 
 17.80 
 
 43.42 
 
 17.99 
 
 47 
 
 48 
 
 44.74 
 
 17.40 
 
 44.6f 
 
 ) 17.59 
 
 44. 5g 
 
 17.79 
 
 44.5o 
 
 17.98 
 
 44.43 
 
 18.18 
 
 44.35 
 
 18.37 
 
 48 
 
 49 
 
 45.67 
 
 17.76 
 
 45.5c 
 
 ) 17.96 
 
 45. 5i 
 
 18.16 
 
 45.43 
 
 18. 36 
 
 45.35 
 
 18.55 
 
 45.27 
 
 18.75 
 
 49 
 
 ; 5o 
 
 46.6c 
 
 18.12 
 
 46.52 
 
 . 18.33 
 
 46.4^ 
 
 ^ 18.53 
 
 46.36 
 
 18.73 
 
 46.28 
 
 18.93 
 
 46.19I 19.13 
 
 5o 
 
 di 
 
 
 
 1 
 
 5 
 
 i 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 1 Lat. 
 
 68% Deg. 
 
 68K Deg. 
 
 68% Deg. 
 
 68 Deg. 
 
 67% Deg. 
 
 671^ Deg. 
 
Traverse Table. 
 
 Ifl5 
 
 5 
 
 55' 
 
 B 
 a 
 
 ? 
 
 5i 
 
 213^ Deg. 
 
 2ni Deg. 
 
 21% Deg. 
 
 22 Deg. 
 
 22% Deg. 
 
 22y^ Deg. 
 
 g 
 
 1 
 
 m 
 
 5. 
 
 Lat. 
 
 Uep. 
 
 Lat. 
 
 Dep. 
 
 Lat 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 47.53 
 
 18.48 
 
 47.45 
 
 18.69 
 
 47.37 
 
 18.90 
 
 47.29 
 
 19.10 
 
 47.20 
 
 19.31 
 
 47.12 
 
 19.52 
 
 52 
 
 48.46 
 
 18.85 
 
 48.38 
 
 19.06 
 
 48.3o 
 
 19.27 
 
 48.21 
 
 19.48 
 
 48.13 
 
 19-69 
 
 48.04 
 
 19.90 
 
 52 
 
 53 
 
 49.40 
 
 19.21 
 
 49.31 
 
 19.42 
 
 49.23 
 
 19-64 
 
 49.14 
 
 19.85 
 
 49.05 
 
 20.07 
 
 48.97 
 
 20.28 
 
 53 
 
 54 
 
 5o.33 
 
 19.57 
 
 5o.24 
 
 19.79 
 
 5o.i6 
 
 20.01 
 
 50.07 
 
 20.23 
 
 49.98 
 
 20.45 
 
 49.89 
 
 20.66 
 
 54 
 
 55 
 
 5i.26 
 
 19.93 
 
 51.17 
 
 20. i6 
 
 5 1. 08 
 
 20. 38 
 
 5 1.00 
 
 20.60 
 
 50.90 
 
 20.83 
 
 5o.8i 
 
 21. o5 
 
 55 
 
 56 
 
 52.19 
 
 20. 3o 
 
 52.10 
 
 20.52 
 
 52.01 
 
 20.75 
 
 51.92 
 
 20.98 
 
 5i.83 
 
 21.20 
 
 51.74 
 
 21.43 
 
 56 
 
 5? 
 
 53.12 
 
 20.66 
 
 53.03 
 
 20.89; 
 
 52.94 
 
 21.12 
 
 52.85 
 
 21.35 
 
 52.76 
 
 21.58 
 
 52.66 
 
 21.81 
 
 57 
 
 58 
 
 54.06 
 
 2t.02 
 
 53.96 
 
 21.26 
 
 53.87 
 
 21.49 
 
 53.78 
 
 21.73 
 
 53.68 
 
 21.96 
 
 53.59 
 
 22.20 
 
 58 
 
 59 
 
 54.99 
 
 21.38 
 
 54.89 
 
 21.62 
 
 54.80 
 
 21.86 
 
 54.70 
 
 22.10 
 
 54.61 
 
 22.34 
 
 54.5i 
 
 22.58 
 
 59 
 
 60 
 
 55.92 
 
 21.75 
 
 55.83 
 
 21.99 
 
 55.73 
 
 22.23 
 
 55.63 
 
 22.48 
 
 55.53 
 
 22.72 
 
 55.43 
 
 22.96 
 
 60 
 
 61 
 
 56.85 
 
 22.11 
 
 56.76 
 
 22.36 
 
 56.66 
 
 22.60 
 
 56.56 
 
 22.85 
 
 56.47 
 
 23.10 
 
 56.36 
 
 23.34 
 
 61 
 
 62 
 
 57.78 
 
 22.47 
 
 57.69 
 
 22.72 
 
 57.59 
 
 22.97 
 
 57.49 
 
 23.23 
 
 57.38 
 
 23.48 
 
 57.28 
 
 23.73 
 
 62 
 
 63 
 
 58.72 
 
 22.83 
 
 58.62 
 
 23.09 
 
 58.52 
 
 23.35 
 
 58.4i 
 
 23.60 
 
 58. 3i 
 
 23.85 
 
 58. 20 
 
 24.1 1 
 
 63 
 
 64 
 
 59.65 
 
 23.20 
 
 59.55 
 
 23.46 
 
 59.44 
 
 23.72 
 
 59.34 
 
 23.97 
 
 59.23 
 
 24.23 
 
 59.13 
 
 24.49 
 
 64 
 
 65 
 
 6o.58 
 
 23.56 
 
 60.48 
 
 23.82 
 
 60.37 
 
 24.09 
 
 60.27 
 
 24.35 
 
 60.16 
 
 24.61 
 
 60. o5 
 
 24.87 
 
 65 
 
 66 
 
 61. 5i 
 
 23.92 
 
 61.41 
 
 24.19 
 
 6x.3o 
 
 24.46 
 
 61.19 
 
 24.72 
 
 61.09 
 
 24.99 
 
 60.98 
 
 25.26 
 
 66 
 
 67 
 
 62.44 
 
 24.28 
 
 62.34 
 
 24.56 
 
 62.23 
 
 24.83 
 
 62.12 
 
 25.10 
 
 62.01 
 
 25.37 
 
 61.90 
 
 2 5.64 
 
 67 
 
 68 
 
 63.38 
 
 24.65 
 
 63.27 
 
 24.92 
 
 63.16 
 
 25.20 
 
 63.o5 
 
 25.47 
 
 62.94 
 
 25.75 
 
 62.82 
 
 26.02 
 
 68 
 
 69 
 
 64. 3i 
 
 25.01 
 
 64.20 
 
 25.291 
 
 64.09 
 
 25.57 
 
 63.98 
 
 25.85 
 
 63.86 
 
 26.13 
 
 63.75 
 
 26.41 
 
 69 
 
 70 
 
 65.24 
 
 25.37 
 
 65.13 
 
 25.66 
 
 65. 02 
 
 25.94 
 
 64.90 
 
 26.22 
 
 64.79 
 
 26. 5i 
 
 64.67 
 
 26.79 
 
 70 
 
 71 
 
 66.17 
 
 25.73 
 
 66.06 
 
 26.02 
 
 65.95 
 
 26. 3i 
 
 65.83 
 
 26.60 
 
 65.71 
 
 26.88 
 
 65.6o 
 
 27.17 
 
 71 
 
 72 
 
 67.10 
 
 26.10 
 
 66.99 
 
 26.39 
 
 66.87 
 
 26.68 
 
 66.76 
 
 26.97 
 
 66.64 
 
 27.26 
 
 66.52 
 
 27.55 
 
 72 
 
 73 
 
 68.04 
 
 26.46 
 
 67.92 
 
 26.75 
 
 67.80 
 
 27.05 
 
 67.68 
 
 27.35 
 
 67.56 
 
 27.64 
 
 67.44 
 
 27.94 
 
 73 
 
 74 
 
 68.97 
 
 26.82 
 
 68.85 
 
 27.12 
 
 68.73 
 
 27.42 
 
 68.61 
 
 27.72 
 
 68.49 
 
 28.02 
 
 68.37 
 
 28.32 
 
 74 
 
 75 
 
 69.90 
 
 27.18 
 
 69.78 
 
 27.49 
 
 69.66 
 
 27.79 
 
 69.54 
 
 28.10 
 
 69.42 
 
 28.40 
 
 69.29 
 
 28.70 
 
 75 
 
 76 
 
 70.83 
 
 27.55 
 
 70.71 
 
 27.85 
 
 70.59 
 
 28.16 
 
 70.47 
 
 28.47 
 
 70.34 
 
 28.78 
 
 70.21 
 
 29.08 
 
 76 
 
 77 
 
 71.76 
 
 27.91 
 
 71.64 
 
 28.22 
 
 71.52 
 
 28.53 
 
 71.39 
 
 28.84 
 
 71.27 
 
 29.16 
 
 71.14 
 
 29.47 
 
 77 
 
 78 
 
 72.70 
 
 28.27 
 
 72.57 
 
 28.59 
 
 72.45 
 
 28.90 
 
 72.32 
 
 29.22 
 
 72.19 
 
 29.53 
 
 72.06 
 
 29.85 
 
 78 
 
 79 
 
 73.63 
 
 28.63 
 
 73. 5o 
 
 28.95 
 
 73.38 
 
 29.27 
 
 73.25 
 
 29.59 
 
 73.12 
 
 29.91 
 
 72.99 
 
 3o.23 
 
 79 
 
 80 
 
 74.56 
 
 29.00 
 
 74.43 
 
 29.32 
 
 74.3o 
 
 29.64 
 
 74.17 
 
 29.97 
 
 74.04 
 
 30.29 
 
 73.91 
 
 3o.6i 
 
 80 
 
 81 
 
 75.49 
 
 29.36 
 
 75.36 
 
 29.69 
 
 75.23 
 
 3o.02 
 
 75.10 
 
 30.34 
 
 74.97 
 
 30.67 
 
 74.83 
 
 3 1.00 
 
 81 
 
 82 
 
 76.42 
 
 29.72 
 
 76.29 
 
 3o.o5 
 
 76.16 
 
 30.39 
 
 76.03 
 
 30.72 
 
 75.89 
 
 3i.o5 
 
 75.76 
 
 3i.38 
 
 82 
 
 83 
 
 77.36 
 
 3o.o8 
 
 77.22 
 
 3o.42 
 
 77.09 
 
 30.76 
 
 76.96 
 
 31.09 
 
 76.82 
 
 3i.43 
 
 76.68 
 
 31.76 
 
 83 
 
 84 
 
 78.29 
 
 30.44 
 
 78.16 
 
 30.79 
 
 78.02 
 
 3i.i3 
 
 77.88 
 
 31.47 
 
 77.75 
 
 3i.8j 
 
 77.61 
 
 32.15 
 
 84 
 
 85 
 
 79.22 
 
 3o.8i 
 
 79.09 
 
 3i.i5 
 
 78.95 
 
 3i.5o 
 
 78.81 
 
 31.84 
 
 78.67 
 
 32.19 
 
 78.53 
 
 32.53 
 
 85 
 
 86 
 
 80. i5 
 
 31.17 
 
 80.02 
 
 31.52 
 
 79.88 
 
 31.87 
 
 79-74 
 
 32.22 
 
 79.60 
 
 32.56 
 
 79.45 
 
 32.91 
 
 86 
 
 87 
 
 81.08 
 
 31.53 
 
 80.95 
 
 31.89 
 
 80.81 
 
 32.24 
 
 80.66 
 
 32.59 
 
 80.52 
 
 32.94 
 
 80. 38 
 
 33.29 
 
 87 
 
 88 
 
 82.02 
 
 31.89 
 
 81.88 
 
 32.25 
 
 81.74 
 
 32.61 
 
 81.59 
 
 32.97 
 
 81.45 
 
 33.32 
 
 81. 3o 
 
 33.68 
 
 88 
 
 89 
 
 82.95 
 
 32.26 
 
 82.81 
 
 32.62 
 
 82.66 
 
 32.98 
 
 82.52 
 
 33.34 
 
 82.37 
 
 33.70 
 
 82.23 
 
 34.06 
 
 89 
 
 90 
 
 83.88 
 
 32.62 
 
 83.74 
 
 32.99 
 
 83.59 
 
 33.35 
 
 83.45 
 
 33.71 
 
 83.3o 
 
 34.08 
 
 83.15 
 
 34.44 
 
 90 
 
 9' 
 
 84.81 
 
 32.98 
 
 84.67 
 
 33.35 
 
 84.52 
 
 33.72 
 
 84.37 
 
 34.09 
 
 84.22 
 
 34.46 
 
 84.07 
 
 34.82 
 
 91 
 
 92 
 
 85.74 
 
 33.34 
 
 85.6o 
 
 33.72 
 
 85.45 
 
 34.09 
 
 85. 3o 
 
 34.46! 
 
 85. i5 
 
 34.84 
 
 85.00 
 
 35.21 
 
 92 
 
 93 
 
 86.68 
 
 33.71 
 
 86.53 
 
 34.08 
 
 86.38 
 
 34.46 
 
 86.23 
 
 34.84! 
 
 86.08 
 
 35.21 
 
 85.92 
 
 35.59 
 
 93 
 
 94 
 
 87.61 
 
 34.07 
 
 87.46 
 
 34.45 
 
 87.31 
 
 34.83 
 
 87.16 
 
 35.21 
 
 87.00 
 
 35.59 
 
 86.84 
 
 35.97 
 
 94 
 
 95 
 
 88.54 
 
 34.43 
 
 88.39 
 
 34.82 
 
 88.24 
 
 35.20 
 
 88.08 
 
 35.59 
 
 87.93 
 
 35.97 
 
 87.77 
 
 36.35 
 
 95 
 
 96 
 
 89.47 
 
 34.79 
 
 89.32 
 
 35.18 
 
 89.17 
 
 35.57 
 
 89.01 
 
 35.96 
 
 88.85 
 
 36.35 
 
 88.69 
 
 36.74 
 
 96 
 
 97 
 
 90.40 
 
 35.16 
 
 90.25 
 
 35.55 
 
 90.09 
 
 35.94 
 
 89.94 
 
 36.34 
 
 89.78 
 
 36.73 
 
 89.62 
 
 37.12 
 
 97 
 
 98 
 
 91.34 
 
 35.52 
 
 91.18 
 
 35.92 
 
 91.02 
 
 36.31 
 
 90.86 
 
 36.71 
 
 90.70 
 
 37.11 
 
 90.54 
 
 37.50 
 
 98 
 
 99 
 
 92.27 
 
 35.88 
 
 92.1 1 
 
 36.28 
 
 91.95 36.69! 
 
 91.79 
 
 37.09 
 
 91.63 
 
 37.49' 
 
 91.46 
 
 37.89 
 
 99 
 
 100 
 1 
 
 93.20 
 
 36.24 
 
 93.04 
 
 36.65 
 
 92.88 
 
 37.06 
 
 92.72 
 
 37.46^ 
 
 92.55 
 
 37.86 
 
 92.39 38.27J100 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Ut. 
 
 Dep. 
 
 Lat. 1 
 
 Dep. 1 Lat. 
 
 a 
 Q 
 
 68% 
 
 Deg. 
 
 681^ Deg. 
 
 68% Deg. 
 
 68 Deg. 
 
 67% Deg. 
 
 67K Deg. 
 
166 
 
 Traverse Table. 
 
 S 
 s 
 
 22% Beg. 
 
 23 Beg. 
 
 2334 Deg. 
 
 23K Deg. 
 
 23% Deg. 
 
 24 Deg. 
 
 g 
 a 
 
 s 
 
 I 
 
 LaU 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 1 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 0.92 
 
 Dep. 
 
 ],at. 
 
 Dep. 
 
 0.4 1 
 
 I 
 
 0.92 
 
 0.39 
 
 0.92 
 
 0.39 
 
 0.92 
 
 0.39 
 
 0.92 
 
 o.4o 
 
 o.4o 
 
 0.91 
 
 2 
 
 1.84 
 
 0.77 
 
 1.84 
 
 0,78 
 
 1.84 
 
 0.79 
 
 1.83 
 
 0.80 
 
 1.83 
 
 0.81 
 
 1.83 
 
 0.81 
 
 2 
 
 3 
 
 2.77 
 
 1.16 
 
 2.76 
 
 1. 17 
 
 2.76 
 
 1. 18 
 
 2.75 
 
 1.20 
 
 2.75 
 
 1.21 
 
 2.74 
 
 1.22 
 
 3 
 
 4 
 
 3.69 
 
 1.55 
 
 3.68 
 
 1.56 
 
 3.68 
 
 1.58 
 
 3.67 
 
 1.59 
 
 3.66 
 
 1. 61 
 
 3.65 
 
 1.63 
 
 4 
 
 5 
 
 4.61 
 
 1.93 
 
 4.60 
 
 1.95 
 
 4.59 
 
 1.97 
 
 4.59 
 
 1.99 
 
 4.58 
 
 2.01 
 
 4.57 
 
 2.o3 
 
 5 
 
 6 
 
 5.53 
 
 2.32 
 
 5.52 
 
 2.34 
 
 5.5i 
 
 2.37 
 
 5.5o 
 
 2.39 
 
 5.49 
 
 2.42 
 
 5.48 
 
 2.44 
 
 6 
 
 7 
 
 6.46 
 
 2.71 
 
 6.44 
 
 2.74 
 
 6.43 
 
 2.76 
 
 6.42 
 
 2.79 
 
 6.4 1 
 
 2.82 
 
 6.39 
 
 2.85 
 
 7 
 
 / 
 
 8 
 
 7.38 
 
 3.09 
 
 7.36 
 
 3.i3 
 
 7.35 
 
 3.16 
 
 7.34 
 
 3.19 
 
 7.32 
 
 3.22 
 
 7.3i 
 
 3.25 
 
 8 
 
 
 
 8.3o 
 
 3.48 
 
 8.28 
 
 3.52 
 
 8.27 
 
 3.55 
 
 8.25 
 
 3.59 
 
 8.24 
 
 3.62 
 
 8.22 
 
 3.66 
 
 9 
 
 7 
 
 lO 
 
 9.22 
 
 3.87 
 
 9.20 
 
 3.91 
 
 9.19 
 
 3.95 
 
 9.17 
 
 3.99 
 
 9.i5 
 
 4.o3 
 
 9.14 
 
 4.07 
 
 10 
 
 II 
 
 10. i4 
 
 4.25 
 
 io.i3 
 
 4.3o 
 
 10. II 
 
 4.34 
 
 10,09 
 
 4.39 
 
 10.07 
 
 4.43 
 
 10. o5 
 
 4.47 
 
 II 
 
 12 
 
 11.07 
 
 4.64 
 
 II. o5 
 
 4.69 
 
 II, o3 
 
 4.74 
 
 11.00 
 
 4.78 
 
 10.98 
 
 4.83 
 
 10.96 
 
 4.88 
 
 12 
 
 i3 
 
 11.99 
 
 5.o3 
 
 11.97 
 
 5.08 
 
 11.94 
 
 5.i3 
 
 11.92 
 
 5.18 
 
 11.90 
 
 5.24 
 
 11.88 
 
 5.29 
 
 i3 
 
 i4 
 
 12.91 
 
 5.4i 
 
 12.89 
 
 5.47 
 
 12.86 
 
 5.53 
 
 12.84 
 
 5.58 
 
 12.81 
 
 5.64 
 
 12.79 
 
 5.69 
 
 i4 
 
 i5 
 
 i3.83 
 
 5.80 
 
 i3.8i 
 
 5.86 
 
 13.78 
 
 5.92 
 
 13.76 
 
 5.98 
 
 13.73 
 
 6.04 
 
 13.70 
 
 6.10 
 
 i5 
 
 i6 
 
 14.76 
 
 6.19 
 
 14.73 
 
 6.25 
 
 14.70 
 
 6.32 
 
 14.67 
 
 6.38 
 
 i4.64 
 
 6.44 
 
 14.62 
 
 6.5i 
 
 16 
 
 17 
 
 i5.68 
 
 6.57 
 
 i5.65 
 
 6.64 
 
 15.62 
 
 6.71 
 
 15.59 
 
 6.78 
 
 i5.56 
 
 6.85 
 
 i5.53 
 
 6.92 
 
 17 
 
 18 
 
 i6.6o 
 
 6.96 
 
 16.57 
 
 7.o3 
 
 16.54 
 
 7." 
 
 i6.5i 
 
 7.18 
 
 16.48 
 
 7.25 
 
 16.44 
 
 7.32 
 
 18 
 
 19 
 
 17.52 
 
 7.35 
 
 17.49 
 
 7.42 
 
 17.46 
 
 7.5o 
 
 17.42 
 
 7.58 
 
 17.39 
 
 7.65 
 
 17.36 
 
 7.73 
 
 19 
 
 20 
 
 18.44 
 
 7.73 
 
 18.41 
 
 7.81 
 
 18. 38 
 
 7.89 
 
 18.34 
 
 7-97 
 
 i8.3i 
 
 8.o5 
 
 18.27 
 
 8.i3 
 
 20 
 
 21 
 
 19.37 
 
 8.12 
 
 19.33 
 
 8.21 
 
 19.29 
 
 8.29I 
 
 19.26 
 
 8.37 
 
 19.22 
 
 8.46 
 
 19.18 
 
 8.54 
 
 21 
 
 22 
 
 20.29 
 
 8.5i 
 
 20.25 
 
 8.60 
 
 20.21 
 
 8.68 
 
 20.18 
 
 8.77 
 
 20.l4 
 
 8.86 
 
 20.10 
 
 8.95 
 
 22 
 
 23 
 
 21.21 
 
 8.89 
 
 21.17 
 
 8.99 
 
 21. i3 
 
 9.08 
 
 21.09 
 
 9.17 
 
 21. o5 
 
 9.26 
 
 21.01 
 
 9.35 
 
 23 
 
 24 
 
 22. i3 
 
 9.28 
 
 22.09 
 
 9.38 
 
 22. o5 
 
 9.47 
 
 22.01 
 
 9.57 
 
 21.97 
 
 9.67 
 
 21.93 
 
 9.76 
 
 24 
 
 25 
 
 23.o5 
 
 9.67 
 
 23. 01 
 
 9-77 
 
 22.97 
 
 9.87 
 
 22.93 
 
 9-97 
 
 22.88 
 
 10.07 
 
 22.84 
 
 10.17 
 
 25 
 
 26 
 
 23.98 
 
 10. o5 
 
 23.93 
 
 10.16 
 
 23.89 
 
 10.26 
 
 23.84 
 
 10.37 
 
 23.80 
 
 10.47 
 
 23.75 
 
 I0.58 
 
 26 
 
 27 
 
 24.90 
 
 10.44 
 
 24.85 
 
 10.55 
 
 24.81 
 
 10.66 
 
 24.76 
 
 10.77 
 
 24.71 
 
 10.87 
 
 24.67 
 
 10.98 
 
 27 
 
 28 
 
 25.82 
 
 10. 83 
 
 25.77 
 
 10.94 
 
 25.73 
 
 II. o5 
 
 25.68 
 
 1 1. 16 
 
 25.63 
 
 11.28 
 
 25.58 
 
 11.39 
 
 28 
 
 29 
 
 26.74 
 
 II. 21 
 
 26.69 
 
 11.33 
 
 26.64 
 
 11.45 
 
 26.59 
 
 11.56 
 
 26.54 
 
 11.68 
 
 26.49 
 
 11.80 
 
 29 
 
 3o 
 
 27.67 
 
 11.60 
 
 27.62 
 
 11.72 
 
 27.56 
 
 11.84 
 
 27,51 
 
 11.96 
 
 27.46 
 
 12.08 
 
 27.41 
 
 12.20 
 
 3o 
 
 3i 
 
 28.59 
 
 11.99 
 
 28.54 
 
 12. 1 1 
 
 28.48 
 
 12.24 
 
 28,43 
 
 12.36 
 
 28.37 
 
 12.49 
 
 28.32 
 
 12.61 
 
 3i 
 
 32 
 
 29.51 
 
 12.37 
 
 29.46 
 
 12. 5o 
 
 29.40 
 
 12.63 
 
 29.35 
 
 12.76 
 
 29.29 
 
 12.89 
 
 29.23 
 
 1 3.02 
 
 32 
 
 33 
 
 3o.43 
 
 12.76 
 
 3o.38 
 
 12.89 
 
 3o.32 
 
 i3.o3j 
 
 30.26 
 
 i3.i6 
 
 3o.2I 
 
 13.29 
 
 3o.i5 
 
 i3.42 
 
 33 
 
 34 
 
 31.35 
 
 i3.i5 
 
 3i.3o 
 
 13.28 
 
 3i.24 
 
 l3.42 
 
 3i.i8 
 
 i3.56 
 
 3l.I2 
 
 13.69 
 
 3i.o6 
 
 i3.83 
 
 34 
 
 35 
 
 32.28 
 
 i3.53 
 
 32.22 
 
 i3.68 
 
 32.16 
 
 13.82 
 
 32. 10 
 
 13.96 
 
 32. o4 
 
 i4.io 
 
 31.97 
 
 14.24 
 
 35 
 
 36 
 
 33.20 
 
 13.92 
 
 33.14 
 
 14.07 
 
 33.08 
 
 l4.2I 
 
 33.01 
 
 i4.35 
 
 32.95 
 
 i4.5o 
 
 32.89 
 
 14.64 
 
 36 
 
 37 
 
 34.12 
 
 i4.3i 
 
 34.06 
 
 14.46 
 
 34.00 
 
 14.61 
 
 33.93 
 
 14.75 
 
 33.87 
 
 14.90 
 
 33.80 
 
 i5.o5 
 
 37 
 
 38 
 
 35.04 
 
 14.70 
 
 34.98 
 
 i4.85 
 
 34.91 
 
 i5.oo 
 
 34.85 
 
 i5.i5 
 
 34.78 
 
 i5.3o 
 
 34.71 
 
 i5.46 
 
 38 
 
 39 
 
 35.97 
 
 i5.o8 
 
 35.90 
 
 i5.24 
 
 35.83 
 
 15.39 
 
 35.77 
 
 i5.55 
 
 35.70 
 
 15.71 
 
 35.63 
 
 i5.86 
 
 39 
 
 .40 
 
 36.89 
 
 15.47 
 
 36.82 
 
 i5.63 
 
 36.75 
 
 15.79 
 
 36.68 
 
 15.95 
 
 36.6i 
 
 16. 1 1 
 
 36.54 
 
 16.27 
 
 4o 
 
 4i 
 
 37.81 
 
 i5.86 
 
 37.74 
 
 16.02 
 
 37.67 
 
 16.18 
 
 37.60 
 
 16.35 
 
 37.53 
 
 i6.5i 
 
 37.46 
 
 16.68 
 
 4i 
 
 .42 
 
 38.73 
 
 16.24 
 
 38.66 
 
 16.41 
 
 38.59 
 
 i6.58 
 
 38.52 
 
 16.75 
 
 38.44 
 
 16.92 
 
 38.37 
 
 17.08 
 
 42 
 
 43 
 
 39.65 
 
 16. 63 
 
 39.58 
 
 16.80 
 
 39.51 
 
 16.97 
 
 39.43 
 
 17.15 
 
 39.36 
 
 17.32 
 
 39.28 
 
 17.49 
 
 43 
 
 44 
 
 40.58 
 
 17.02 
 
 4o.5o 
 
 17.19 
 
 40.43 
 
 17.37 
 
 40.35 
 
 17.54 
 
 40.27 
 
 17.72 
 
 4o.20 
 
 17.90 
 
 44 
 
 45 
 
 4i.5o 
 
 17.40 
 
 41.42 
 
 17.58 
 
 41.35 
 
 17.76 
 
 41.27 
 
 17.94 
 
 41.19 
 
 18.12 
 
 4i.ii 
 
 i8.3o 
 
 45 
 
 46 
 
 4a. 42 
 
 17.79 
 
 42.34 
 
 17.97 
 
 42.26 
 
 18. i6 
 
 42.18 
 
 18.34 
 
 42.10 
 
 18.53 
 
 42.02 
 
 18,71 
 
 46 
 
 47 
 
 43.34 
 
 18.18 
 
 43.26 
 
 i8.36 
 
 43.18 
 
 18.55 
 
 43.10 
 
 18.74 
 
 43.02 
 
 18.93 
 
 42.94 
 
 19.12 
 
 47 
 
 48 
 
 44.27 
 
 i8.56 
 
 44.18 
 
 18.76 
 
 44.10 
 
 18.95 
 
 44.02 
 
 19.14 
 
 43.93 
 
 19.33 
 
 43.85 
 
 19.52 
 
 48 
 
 49 
 
 45.19 
 
 18.95 
 
 45.10 
 
 19.15 
 
 45.02 
 
 19.34 
 
 44.94 
 
 19.54 
 
 44.85 
 
 19.73 
 
 44.76 
 
 19,93 
 
 49 
 
 5o 
 
 S 
 
 a 
 
 
 
 46.11 
 
 19.34 
 
 46.03 
 
 Dep. 
 
 19.54 
 
 45.94 
 
 19.74 
 
 45.85 
 
 19.94 
 
 45.77 
 
 20. i4 
 
 45.68 
 
 20,34 
 
 5o 
 
 Dep. 
 
 Lat. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 l^t. 
 
 1 
 
 Q 
 
 67^ Beg. 
 
 67] 
 
 Deg. 
 
 66% Deg. 
 
 66K Deg. 
 
 66% 
 
 Deg. 
 
 661 
 
 )eg. 
 
Traverse Table. 
 
 107 
 
 a 
 o 
 
 23% Deg. 
 
 23 Deg. 
 
 23K Deg. 
 
 233^ Deg, 
 
 28% Deg, 
 
 24 Deg. 
 
 
 
 ST 
 
 f 
 
 5i 
 
 Lat. 
 
 Dep. 
 19.72 
 
 Lat. 
 
 Dep. 
 19.93 
 
 Lat. 1 Dep. 
 
 Lat. 
 
 Dep. 
 
 20,34 
 
 Lat 
 
 Dep. 
 
 20.54 
 
 ijii. 
 
 Dep. 
 
 5i 
 
 47.03 
 
 46.95 
 
 46,86 
 
 20.13 
 
 46.77 
 
 46,68 
 
 46.59 
 
 20.74 
 
 52 
 
 47-95 
 
 20.1 I 
 
 47.87 
 
 20.32 
 
 47.78 
 
 20.53 
 
 47.69 
 
 20,73 
 
 47.60 
 
 20.94 
 
 47. 5o 
 
 21. l5 
 
 52 
 
 53 
 
 48.88 
 
 20. 5o 
 
 48.79 
 
 20,71 
 
 48.70 
 
 20.92 
 
 48. 60 
 
 21. l3 
 
 48.5i 
 
 21.35 
 
 48.42 
 
 21,56 
 
 53 
 
 54 
 
 49.80 
 
 20,88 
 
 49.71 
 
 21,10 
 
 49.61 
 
 21.32 
 
 49.52 
 
 21.53 
 
 49.43 
 
 21.75 
 
 49.33 
 
 21.9G 
 
 54 
 
 55 
 
 50.72 
 
 21,27 
 
 5o.63 
 
 21.49 
 
 5o.53 
 
 21,71 
 
 5o.44 
 
 21.93 
 
 5o.34 
 
 22. i5 
 
 5o.24 
 
 22.37 
 
 55 
 
 56 
 
 5i.64 
 
 21.66 
 
 5i,55 
 
 21,88 
 
 5i.45 
 
 22.1 I 
 
 5i.36 
 
 22.33 
 
 51.26 
 
 22.55 
 
 5i,i6 
 
 22.78 
 
 56 
 
 5? 
 
 52.57 
 
 22.04 
 
 52.47 
 
 22,27 
 
 52.37 
 
 22. 5o 
 
 52.27 
 
 22.73 
 
 52.17 
 
 22.96 
 
 52.07 
 
 23,18 
 
 57 
 
 58 
 
 53.49 
 
 22.43 
 
 53.39 
 
 22,66 
 
 53,29 
 
 22.90 
 
 53.19 
 
 23, i3 
 
 53,09 
 
 23.36 
 
 52.99 
 
 23.59 
 
 58 
 
 59 
 
 54.41 
 
 22.82' 
 
 54. 3i 
 
 23. o5 
 
 54.21 
 
 23.29 
 
 54.11 
 
 23.53 
 
 54.00 
 
 23.76 
 
 / 7 
 
 53.90 
 
 24.00 
 
 59 
 
 6o 
 
 55.33 
 
 23,20' 
 
 55.23 
 
 23,44 
 
 55.13 
 
 23,68 
 
 55.02 
 
 23,92 
 
 54.92 
 
 24. 1 c 
 
 54.81 
 
 24.40 
 
 60 
 
 6i 
 
 56.25 
 
 23.59 
 
 56.15 
 
 23.83 
 
 56.o5 
 
 24,08 
 
 55.94 
 
 24.32 
 
 55.83 
 
 24.57 
 
 55.73 
 
 24.81 
 
 61 
 
 62 
 
 57.18 
 
 23.98, 
 
 57.07 
 
 24,23 
 
 56.97 
 
 24.47 
 
 56.86 
 
 24.72 
 
 56.75 
 
 24.97 
 
 56.64 
 
 25.22 
 
 62 
 
 63 
 
 58.10 
 
 24.36j 
 
 57,99 
 
 24.62 
 
 57.88 
 
 24.87 
 
 57.77 
 
 25,12 
 
 57.66 
 
 25.37 
 
 57.55 
 
 25.62 
 
 63 
 
 64 
 
 59,02 
 
 24.75 
 
 58.91 
 
 25,01 
 
 58.8o 
 
 25.26 
 
 58.69 
 
 25.52 
 
 58.58 
 
 25.78 
 
 58.47 
 
 26,03 
 
 64 
 
 65 
 
 59.94 
 
 25.14 
 
 59.83 
 
 25, 4o 
 
 59.72 
 
 25,66 
 
 59.61 
 
 25,92 
 
 59,50 
 
 26,18 
 
 59.38 
 
 26.44 
 
 65 
 
 66 
 
 60.87 
 
 25.52 
 
 60,75 
 
 25,79 
 
 60.64 
 
 26.05 
 
 60,53 
 
 26,32 
 
 60, 4i 
 
 26,58 
 
 60.29 
 
 26.84 
 
 66 
 
 67 
 
 61.79 
 
 25.91^ 
 
 61,67 
 
 26.18 
 
 61.56 
 
 26.45 
 
 61.44 
 
 26.72 
 
 61.33 
 
 26.98 
 
 61.21 
 
 27.25 
 
 67 
 
 68 
 
 62,71 
 
 26.30; 
 
 62.59 
 
 26,57 
 
 62.48 
 
 26.84 
 
 62,36 
 
 27.11 
 
 62.24 
 
 27.39 
 
 62.12 
 
 27.66 
 
 68 
 
 69 
 
 63.63 
 
 26.68I 
 
 63. 5i 
 
 26.96 
 
 63.4o 
 
 27,24 
 
 63,28 
 
 27.51 
 
 63.16 
 
 27.79 
 
 63.03 
 
 28.06 
 
 69 
 
 70 
 
 64.55 
 
 27,07 
 
 64.44 
 
 27.35 
 
 64.32 
 
 27.63 
 
 64.19 
 
 27,91 
 
 64.07 
 
 28,19 
 
 63.95 
 
 28.47 
 
 70 
 
 71 
 
 65.48 
 
 27.46 
 
 65,36 
 
 27.74 
 
 65.23 
 
 28,03 
 
 65.11 
 
 28, 3i 
 
 64-99 
 
 28.59 
 
 64.86 
 
 28.88 
 
 71 
 
 72 
 
 66.4o 
 
 27.84166.28 
 
 28, i3 
 
 66. i5 
 
 28.42 
 
 66.03 
 
 28.71 
 
 65.90 
 
 29.00 
 
 65.78 
 
 29.28 
 
 72 
 
 73 
 
 67.32 
 
 28.23 67.20 
 
 28,52 
 
 67.07 
 
 28.82 
 
 66.95 
 
 29,1 1 
 
 66.82 
 
 29.40 
 
 66.69 
 
 29.69 
 
 73 
 
 74 
 
 68.24 
 
 28,62:68.12 
 
 28.91 
 
 67.99 
 
 29.21 
 
 67.86 
 
 29.51 
 
 67.73 
 
 29.80 
 
 ;67.6o 
 
 3o.io 
 
 74 
 
 75 
 
 69.17 
 
 29.00, 
 
 69.04 
 
 29,30 
 
 68,91 
 
 29.61 
 
 68.78 
 
 29,91 
 
 68.65 
 
 3o,21 
 
 68.52 
 
 3o.5i 
 
 75 
 
 76 
 
 70.09 
 
 29.39 
 
 69,96 
 
 29.70 
 
 69.83 
 
 3o,oo 
 
 69,70 
 
 3o.3o 
 
 69.56 
 
 3o.6i 
 
 69.43 
 
 30.91 
 
 76 
 
 77 
 
 71.01 
 
 29.78170.88 
 
 30,09 
 
 70.75 
 
 3o.4o 
 
 70.61 
 
 30.70 
 
 70.48 
 
 3i,oi 
 
 70.34 
 
 31.32 
 
 77 
 
 78 
 
 71.93 
 
 3o.i6 j 71.80 
 
 3o,48 
 
 71.67 
 
 30.79 
 
 71,53 
 
 3i.io 
 
 71.39 
 
 3i.4i 
 
 71.26 
 
 31.73 
 
 78 
 
 79 
 
 72.85 
 
 3o.55 1 72.72 
 
 30.87 
 
 72.58 
 
 3i,i8 
 
 72.45 
 
 3i,5o 
 
 72. 3i 
 
 31.82 
 
 72.17 
 
 32.13 
 
 79 
 
 80 
 
 73.78 
 
 30.94 
 
 73.64 
 
 3i,26 
 
 73.50 
 
 3i.58 
 
 73,36 
 
 31.90 
 
 73.22 
 
 32.22 
 
 73.08 
 
 32,54 
 
 80 
 
 81 
 
 74.70 
 
 3i,32 
 
 74.56 
 
 3i,65 
 
 74.42 
 
 31.97 
 
 74.28 
 
 32. 3o 
 
 74.14 
 
 32.62 
 
 74.00 
 
 32.95 
 
 81 
 
 82 
 
 75.62 
 
 31.71 !75.48 
 
 32, o4 
 
 75.34 
 
 32.37 
 
 75,20 
 
 32.70 
 
 75.06 
 
 33.oJ^ 
 
 74.91 
 
 33.35 
 
 82 
 
 83 
 
 76.54 
 
 32. 10 76.40 
 
 32.43 
 
 76.26 
 
 32,76 
 
 76.12 
 
 33,10 
 
 75.97 
 
 33.43 
 
 75.82 
 
 33.76 
 
 83 
 
 84 
 
 77.46 
 
 32.48 77.32 
 
 32.82 
 
 77.18 
 
 33.16 
 
 77,o3 
 
 33.49 
 
 76.89 
 
 33.83 
 
 76.74 
 
 34.17 
 
 84 
 
 85 
 
 78,39 
 
 32,87 78-24 
 
 1 
 
 33.21 
 
 78,10 
 
 33.55 
 
 77.95 
 
 33,89 
 
 77.80 
 
 34.23 
 
 77.65 
 
 34.57 
 
 85 
 
 86 
 
 79.31 
 
 1 
 33.26 79.16 
 
 33.60 
 
 79.02 
 
 33.95 
 
 78.87 
 
 34.29 
 
 78.72 
 
 34.64 
 
 78.56 
 
 34.98 
 
 86 
 
 87 
 
 80.23 
 
 33.64 80.08 
 
 33.99 
 
 79.93 
 
 34.34 
 
 79.78 
 
 34.69 
 
 79.63 
 
 35.04 
 
 79.4s 
 
 35.39 
 
 87 
 
 88 
 
 81. i5 
 
 34.o3 81,00 
 
 34,38 
 
 80. 85 
 
 34.74 
 
 80.70 
 
 35,09 
 
 80,55 
 
 35.44 
 
 80.39 
 
 35.79 
 
 88 
 
 89 
 
 82.08 
 
 34.42 181.92 
 
 34.78 
 
 81.77 
 
 35. i3 
 
 81.62 
 
 35,49 
 
 81.46 
 
 35.84 
 
 81. 3i 
 
 36. 20 
 
 89 
 
 90 
 
 83.00 
 
 34.80 82,85 
 
 1 
 
 35,17 
 
 82,69 
 
 35.53 
 
 82.54 
 
 35.89 
 
 82.38 
 
 36.25 
 
 82.22 
 
 36.61 
 
 90 
 
 91 
 
 83.92 
 
 35.19 83,77 
 
 35.56 
 
 83.6i 
 
 35.92 
 
 83.45 
 
 36.29 
 
 83.29 
 
 36.65 
 
 83.13 
 
 37.01 
 
 91 
 
 92 
 
 84.84 
 
 35.58 84.69 
 
 35.95 
 
 84.53 
 
 36.32 
 
 84.37 
 
 36.68 
 
 84.2 r 
 
 37.05 
 
 84. o5 
 
 37.42 
 
 92 
 
 93 
 
 85.76 
 
 35.96 85. 61 
 
 36.34 
 
 85.45 
 
 36.71 
 
 85.29 
 
 37.08 
 
 85.12 
 
 37.46 
 
 84.96 
 
 37.83 
 
 93 
 
 94 
 
 86.69 
 
 36.35 86.53 
 
 36.73 
 
 86.37 
 
 37,11 
 
 86.20 
 
 37.48 
 
 86.04 
 
 37.86 
 
 85.87 
 
 38.23 
 
 94 
 
 95 
 
 87.61 
 
 36.74,87.45 
 
 37,12 
 
 87.29 
 
 37.50 
 
 87.12 
 
 37,88 
 
 86.95 
 
 38.26 
 
 86.79 
 
 38.64 
 
 95 
 
 96 
 
 88.53 
 
 37.12^88.37 
 
 37,51 
 
 88.20 
 
 37.90 
 
 88.04 
 
 38.28 
 
 87.87 
 
 38.66 
 
 87,70 
 
 39.05 
 
 96 
 
 97 
 
 89.45 
 
 37.51 89,29 
 
 37,90 
 
 89.12 
 
 38.2g 
 
 88.95 
 
 38.68 
 
 88,79 
 
 39.07 
 
 88,61 
 
 39.45 
 
 97 
 
 98 
 
 90.38 
 
 37.90 go, 21 
 
 38,29 
 
 90.04 
 
 38.68 89.87I 
 
 39.08 
 
 89,70 
 
 39-47 
 
 89,53 
 
 39.86 
 
 98 
 
 99 
 
 91.30 
 
 38.28 91. i3 
 
 38.68 
 
 90,96 
 
 39,08 
 
 90.79 
 
 39,48 
 
 90,62 
 
 39.87 
 
 go.44 
 
 40.27 
 
 99 
 
 [00 
 
 § 
 
 5 
 
 92.22 
 
 38.67 
 Lat. 
 
 92.05 
 
 39.07 
 
 91.88 
 
 39.47 
 
 91.71 
 Dep. 
 
 39,87 
 
 91,53 
 
 40.27 
 
 91,35 
 
 4o.67| 
 
 100 
 t 
 
 
 
 Dep. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Lat, 
 
 Dep. 
 
 ut. 
 
 Dep. 
 
 Lat. 
 
 6714 
 
 Deg. 
 
 67 Deg. 
 
 QQ% Deg. 
 
 66K Deg. 
 
 66«^ Deg. 
 
 66 Deg, 
 
168 
 
 Traverse Table. 
 
 1 
 
 8 
 
 I 
 
 241^ Deg. 
 
 24M 
 
 Deg. 
 
 24% Deg. 
 
 25 Deg. 
 
 25% Deg. 
 
 25K Deg. 
 
 1 
 
 a 
 
 § 
 
 Lat. 
 
 Uep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 0.91 
 
 Dep. 
 
 Lat. 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 0.91 
 
 1.82 
 
 0.4 1 
 
 0.91 
 
 o.4i 
 
 0.42 
 
 0.91 
 
 0.42 
 
 0.90 
 
 0.43 
 
 0.90 
 
 0.43 
 
 1 
 
 2 
 
 0.82 
 
 1.82 
 
 0.83 
 
 1.82 
 
 0.84 
 
 1.81 
 
 0.85 
 
 1.81 
 
 0.85 
 
 1.81 
 
 0.86 
 
 2 
 
 3 
 
 2.74 
 
 1.23 
 
 2.73 
 
 1.24 
 
 2.72 
 
 1.26 
 
 2.72 
 
 1.27 
 
 2.71 
 
 1.28 
 
 2.71 
 
 1.29 
 
 3 
 
 4 
 
 3.65 
 
 1.64 
 
 3.64 
 
 1.66 
 
 3.63 
 
 1.67 
 
 3.63 
 
 1.69 
 
 3.62 
 
 1. 71 
 
 3.61 
 
 1.72 
 
 4 
 
 5 
 
 4.56 
 
 2.o5. 
 
 4.55 
 
 2.07 
 
 4.54 
 
 2.09 
 
 4.53 
 
 2.11 
 
 4.52 
 
 2.l3 
 
 4.5i 
 
 2.l5 
 
 5 
 
 6 
 
 5.47 
 
 2.46 
 
 5.46 
 
 2.49 
 
 5.45 
 
 2.5l 
 
 5.44 
 
 2.54 
 
 5.43 
 
 2.56 
 
 5.42 
 
 2.58 
 
 6 
 
 7 
 
 6.38 
 
 2.87 
 
 6.37 
 
 2.90 
 
 6.36 
 
 2.93 
 
 6.34 
 
 2.96 
 
 6.33 
 
 2.99 
 
 6.32 
 
 3.01 
 
 7 
 
 / 
 
 7.29 
 8.21 
 
 3.29 
 
 7.28 
 
 3.32 
 
 7.27 
 
 3.35 
 
 7.25 
 
 3.38 
 
 7.24 
 
 3.4i 
 
 7.22 
 
 3.44 
 
 8 
 
 9 
 
 7 
 
 3.70 
 
 8.19 
 
 3.73 
 
 8.17 
 
 3.77 
 
 8.16 
 
 3.80 
 
 8.i4 
 
 3.84 
 
 8.12 
 
 3.87 
 
 9 
 
 lO 
 
 9.12 
 
 4.II 
 
 9.10 
 
 4.i5 
 
 9.08 
 
 4.19 
 
 9.06 
 
 4.23 
 
 9.04 
 
 4.27 
 
 9.03 
 
 4.3i 
 
 10 
 
 II 
 
 10. o3 
 
 4.52 
 
 10.01 
 
 4.56 
 
 9-99 
 
 4.61 
 
 9-97 
 
 4.65 
 
 9.95 
 
 4.69 
 
 9.93 
 
 4.74 
 
 II 
 
 12 
 
 10.94 
 
 4.93 
 
 10.92 
 
 4.98 
 
 10.90 
 
 5.02 
 
 10.88 
 
 5.07 
 
 I0.85 
 
 5.12 
 
 10.83 
 
 5.17 
 
 12 
 
 i3 
 
 11.85 
 
 5.34 
 
 11.83 
 
 5.39 
 
 11.81 
 
 5.44 
 
 11.78 
 
 5.49 
 
 1 1.76 
 
 5.55 
 
 11.73 
 
 5.60 
 
 i3 
 
 i4 
 
 12.76 
 
 5.75 
 
 12.74 
 
 5.81 
 
 12.71 
 
 5.86 
 
 12.69 
 
 5.92 
 
 12.66 
 
 5.97 
 
 12.64 
 
 6.o3 
 
 i4 
 
 i5 
 
 i3.68 
 
 6.16 
 
 i3.65 
 
 6.22 
 
 13.62 
 
 6.28 
 
 13.59 
 
 6.34 
 
 13.57 
 
 6.4o 
 
 i3.54 
 
 6.46 
 
 i5 
 
 i6 
 
 14.59 
 
 6.57 
 
 i4.56 
 
 6.64 
 
 14.53 
 
 6.70 
 
 i4.5o 
 
 6.76 
 
 14.47 
 
 6.83 
 
 14.44 
 
 6.89 
 
 16 
 
 17 
 
 i5.5o 
 
 6.98 
 
 i5.47 
 
 7.o5 
 
 1 5.44 
 
 7.12 
 
 i5.4i 
 
 7.18 
 
 i5.38 
 
 7.25 
 
 i5.34 
 
 7.32 
 
 17 
 
 18 
 
 16.41 
 
 7-39! 
 
 i6.38 
 
 7.46; 
 
 16.35 
 
 7.54 
 
 i6.3i 
 
 7.61 
 
 16.28 
 
 7.68 
 
 16.25 
 
 7.75 
 
 18 
 
 '9 
 
 17.32 
 
 7.S0 
 
 17.29 
 
 7.88 
 
 17.25 
 
 7.95 
 
 17.22 
 
 8.o3 
 
 17.18 
 
 8.10 
 
 17.15 
 
 8.18 
 
 19 
 
 20 
 
 18.24 
 
 8.21 
 
 18.20 
 
 8.29 
 
 18.16 
 
 8.37 
 
 18. i3 
 
 8.45 
 
 18.09 
 
 8.53 
 
 i8.o5 
 
 8.61 
 
 20 
 
 21 
 
 19.15 
 
 8.63 
 
 19. II 
 
 8.7. 
 
 19.07 
 
 8.79 
 
 19.03 
 
 8.87 
 
 18.99 
 
 8.96 
 
 18.95 
 
 9.04 
 
 21 
 
 22 
 
 20.06 
 
 9.04 
 
 20.02 
 
 9.12 
 
 19.98 
 
 9.21 
 
 19.94 
 
 9.3o 
 
 19.90 
 
 9.38 
 
 19.86 
 
 9-47 
 
 22 
 
 23 
 
 20 97 
 
 9.45 
 
 20.93 
 
 9.54 
 
 20.89 
 
 9.63 
 
 20.85 
 
 9.72 
 
 20.80 
 
 9.81 
 
 20.76 
 
 9.90 
 
 23 
 
 24 
 
 21.88 
 
 9.86 
 
 21.84 
 
 9.95 
 
 21.80 
 
 io.o5 
 
 21.75 
 
 10. i4 
 
 21.71 
 
 10.24 
 
 21.66 
 
 10.33 
 
 24 
 
 20 
 
 22.79 
 
 10.27 
 
 22.75 
 
 10.37 
 
 22.70 
 
 10.47 
 
 22.66 
 
 10.57 
 
 22.61 
 
 10.66 
 
 22.56 
 
 10.76 
 
 25 
 
 26 
 
 23.71 
 
 10.68 
 
 23.66 
 
 10.78 
 
 23.61 
 
 10.89 
 
 23.56 
 
 10.99 
 
 23.52 
 
 11.09 
 
 23.47 
 
 11.19 
 
 26 
 
 27 
 
 24.62 
 
 11.09 
 
 24.57 
 
 11.20 
 
 24.52 
 
 II. 3o 
 
 24.47 
 
 II. 4i 
 
 24.42 
 
 1 1.52 
 
 24.37 
 
 11.62 
 
 27 
 
 28 
 
 25.53 
 
 11. 5o 
 
 25.48 
 
 II. 6 1 
 
 25.43 
 
 11.72 
 
 25.38 
 
 11.83 
 
 25.32 
 
 11.94 
 
 25.27 
 
 12. o5 
 
 28 
 
 29 
 
 26.44 
 
 11.91 
 
 26.39 
 
 12. o3 
 
 26.34 
 
 12. i4 
 
 26.28 
 
 12.26 
 
 26.23 
 
 12.37 
 
 26.17 
 
 12.48 
 
 29 
 
 3o 
 
 27.35 
 
 12.32 
 
 27.30 
 
 12.44 
 
 27.24 
 
 12.56 
 
 27.19 
 
 12.68 
 
 27.13 
 
 12.80 
 
 27.08 
 
 12.92 
 
 3o 
 
 3i 
 
 28.26 
 
 12.73 
 
 i3.i4 
 
 28.21 
 
 12.86 
 
 28. i5 
 
 12.98 
 
 28,10 
 
 i3.io 
 
 28.04 
 
 l3.22 
 
 27.98 
 
 13.35 
 
 3i 
 
 32 
 
 29.18 
 
 29.12 
 
 13.27 
 
 29.06 
 
 i3.4o 
 
 29.00 
 
 i3.52 
 
 28.94 
 
 13.65 
 
 28.88 
 
 13.78 
 
 32 
 
 33 
 
 30.09 
 
 i3.55 
 
 3o.o3 
 
 i3.68 
 
 29.97 
 
 13.82 
 
 29.91 
 
 13.95 
 
 29.85 
 
 i4.o8 
 
 29.79 
 
 14.21 
 
 33 
 
 34 
 
 3 1. 00 
 
 13.96 
 
 30.94 
 
 14.IP 
 
 3o.88 
 
 l4.23 
 
 3o.8i 
 
 14.37 
 
 30.75 
 
 i4.5o 
 
 30.69 
 
 14.64 
 
 34 
 
 35 
 
 31.91 
 
 i4.38 
 
 31.85 
 
 i4.5i 
 
 31.78 
 
 i4.65 
 
 31.72 
 
 14.79 
 
 31.66 
 
 14.93 
 
 31.69 
 
 15.07 
 
 35 
 
 36 
 
 32.82 
 
 14.79 
 
 32.76 
 
 14.93 
 
 32. 6g 
 
 15.07 
 
 32.63 
 
 l5.21 
 
 32.56 
 
 i5.36 
 
 32.49 
 
 i5.5o 
 
 36 
 
 37 
 
 33.74 
 
 l5.20 
 
 33.67 
 
 i5.34 
 
 33.60 
 
 i5.49 
 
 33.53 
 
 1 5.64 
 
 33.46 
 
 15.7& 
 
 33.40 
 
 16.93 
 
 37 
 
 38 
 
 34.65 
 
 i5.6i 
 
 34.58 
 
 15.76 
 
 34.5i 
 
 15.91 
 
 34.44 
 
 16.06 
 
 34.37 
 
 16.21 
 
 34. 3o 
 
 i6.36 
 
 38 
 
 39 
 
 35.56 
 
 16.02 
 
 35.49 
 
 16.17 
 
 35.42 
 
 16.33 
 
 35.35 
 
 i6.48 
 
 35.27 
 
 16.64 
 
 35.20 
 
 16.79 
 
 39 
 
 40 
 
 36.4? 
 
 16.43 
 
 36.4o 
 
 16.59 
 
 36.33 
 
 16.75 
 
 36.25 
 
 16.90 
 
 36.18 
 
 17.06 
 
 36. 10 
 
 17.22 
 
 4o 
 
 4i 
 
 37.38 
 
 16.84 
 
 37.31 
 
 17.00 
 
 37.23 
 
 17.16 
 
 37.16 
 
 17.33 
 
 37.08 
 
 17.49 
 
 37.01 
 
 17.66 
 
 4i 
 
 42 
 
 38.29 
 
 17.25 
 
 38.22 
 
 17.42 
 
 38.14 
 
 17.58 
 
 38.06 
 
 17.75 
 
 1 37-99 
 
 17.92 
 
 37.91 
 
 18.08 
 
 42 
 
 43 
 
 39.21 
 
 17.66 
 
 39.13 
 
 17.83 
 
 39.05 
 
 18.00 
 
 38.97 
 
 18.17 
 
 ' 38.89 
 
 18.34 
 
 38.81 
 
 i8.5i 
 
 43 
 
 44 
 
 4o.I2 
 
 18.07 
 
 4o.o^ 
 
 18.25 
 
 39.96 
 
 18.42 
 
 39.88 
 
 ! 18.60 
 
 39.80 
 
 18.77 
 
 39.71 
 
 18.94 
 
 44 
 
 45 
 
 4i.o3 
 
 18.48 
 
 40.95 
 
 18.66 
 
 40.87 
 
 18.84 
 
 40.78 
 
 19.02 
 
 ' 40.70 
 
 19.20 
 
 40.62 
 
 19.37 
 
 45 
 
 46 
 
 41.94 
 
 18 89 
 
 41.86 
 
 19.08 
 
 41.77 
 
 19.26 
 
 41.69 
 
 19.44 
 
 4i.6o 
 
 19.62 
 
 4i.52 
 
 19.80 
 
 46 
 
 47 
 
 42.85 
 
 19.30 
 
 42.77 
 
 19.49 
 
 'U2.68 
 
 19.68 
 
 42.60 
 
 19.86 
 
 42. 5i 
 
 20. o5 
 
 42.42 
 
 20.23 
 
 47 
 
 48 
 
 43.76 
 
 19.71 
 
 43.66 
 
 19.91 
 
 ;'43.5c 
 
 20.10 
 
 43.5o 
 
 20.29 
 
 43.41 
 
 20.48 
 
 43.32 
 
 j 20.66 
 
 48 
 
 49 
 
 44.6e 
 
 20.l3 
 
 : 44.5f 
 
 ) 20.32': 44. 5r 
 
 20. 5i 
 
 44.41 
 
 20.71 
 
 I 44.32 
 
 20.90 
 
 44.23 
 
 21.10 
 
 49 
 
 5o 
 
 a 
 
 45.5c 
 
 20. 5^: 
 Lat. 
 
 45. 5f 
 
 ) 20.73 
 
 45.41 
 
 20.93 
 
 45.32 
 
 Dep. 
 
 21. i3 
 
 45.22 
 
 21.33 
 
 45.13 
 
 21.53 
 
 5o 
 
 Dep. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Lat. 
 
 ! Dep- 
 
 Lat. 
 
 Dep. 
 
 lat. 
 
 8 
 
 1 
 
 CO 
 
 
 
 65% Deg. 
 
 65KDeg. 
 
 65% Deg. 
 
 65 
 
 Deg. 
 
 ! 64% Deg. 
 
 64K Deg. 
 
Tea 
 
 VERSE 
 
 1 A B L E. 
 
 109 
 
 5 
 
 u 
 
 a 
 o 
 
 3414 Deg. 
 
 2i% Deg. 
 
 24% Deg. 
 
 25 Deg. 
 
 25% Deg. 
 
 25^4 Deg. 
 
 
 
 m 
 
 1 
 
 s 
 
 5i 
 
 Lat. 
 
 Uep. 
 
 Lat. 
 
 Dep. 
 
 Lat 
 
 Dep. 
 
 Lat 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat 
 
 Dep. 
 
 5i 
 
 46. 5o 
 
 20.95 
 
 46.41 
 
 21. l5 
 
 46.32 
 
 21.35 
 
 46.22 
 
 21.55 
 
 46.13 
 
 21.75 
 
 46.o3 
 
 21.96 
 
 52 
 
 47-4i 
 
 21.36 
 
 47.32 
 
 21.56 
 
 47.22 
 
 21.77 
 
 47.13 
 
 21.98 
 
 47.03 
 
 22.18 
 
 46.93 
 
 22.39 
 
 52 
 
 53 
 
 48.32 
 
 21.77 
 
 48.23 
 
 21.98 
 
 48.13 
 
 22.19 
 
 48.03 
 
 22.4o 
 
 47.94 
 
 22.61 
 
 47-84 
 
 22.82 
 
 53 
 
 54 
 
 49.24 
 
 22.18 
 
 49.14 
 
 22.39 
 
 49.04 
 
 22.61 
 
 48.94 
 
 22.82 
 
 48.84 
 
 23.03 
 
 48.74 
 
 23.25 
 
 54 
 
 55 
 
 5o.i5 
 
 22.59 
 
 5o.o5 
 
 22.81 
 
 49.95 
 
 23.03 
 
 49.85 
 
 23.24 
 
 49.74 
 
 23.46 
 
 49.64 
 
 23.68 
 
 55 
 
 56 
 
 5i.o6 
 
 23.00 
 
 50.96 
 
 23.22 
 
 5o.86 
 
 23.44 
 
 50.75 
 
 23.67 
 
 5o.65 
 
 23.89 
 
 50.54 
 
 24.11 
 
 56 
 
 57 
 
 51.97 
 
 23.4l 
 
 51.87 
 
 23.64 
 
 51.76 
 
 23.86 
 
 5i.66 
 
 24.09 
 
 5i.55 
 
 24.3 1 
 
 51.45 
 
 24.54 
 
 57 
 
 58 
 
 52.88 
 
 23.82 
 
 52.78 
 
 24. o5 
 
 52.67 
 
 24.28 
 
 52.57 
 
 24. 5i 
 
 52.46 
 
 24.74 
 
 52.35 
 
 24.97 
 
 58 
 
 59 
 
 53.79 
 
 24.23 
 
 53.69 
 
 24.47 
 
 53.58 
 
 24.70 
 
 53.47 
 
 24.93 
 
 53.36 
 
 25.17 
 
 53.25 
 
 7 / 
 
 25. 4o 
 
 59 
 
 6o 
 
 54.71 
 
 24.64 
 
 54.60 
 
 24.88 
 
 54.49 
 
 25.12 
 
 54.38 
 
 25.36 
 
 54.27 
 
 25.59 
 
 54.16 
 
 25.83 
 
 60 
 
 6i 
 
 55.62 
 
 25. o5 
 
 55. 5i 
 
 25. 3o 
 
 55.4o 
 
 25.54 
 
 55.28 
 
 25.78 
 
 55.17 
 
 26.02 
 
 55.06 
 
 26.26 
 
 61 
 
 62 
 
 56.53 
 
 25.46 
 
 56.42 
 
 25.71 
 
 56.3o 
 
 25.96 
 
 56.19 
 
 26.20 
 
 56.08 
 
 26.45 
 
 55.96 
 
 26.60 
 
 62 
 
 63 
 
 57.44 
 
 25.88 
 
 57.33 
 
 26.13 
 
 57.21 
 
 26.38 
 
 57.10 
 
 26.62 
 
 56.98 
 
 26.87 
 
 56.86 
 
 7 
 
 27.12 
 
 63 
 
 64 
 
 58.35 
 
 26.29 
 
 58.24 
 
 26.54 
 
 58.12 
 
 26.79 
 
 58.00 
 
 27.05 
 
 57.89 
 
 27.30 
 
 57.77 
 
 27.55 
 
 64 
 
 65 
 
 59.26 
 
 26.70 
 
 59.15 
 
 26.96 
 
 59.03 
 
 27.21 
 
 58.91 
 
 27.47 
 
 58.79 
 
 27.73 
 
 58.67 
 
 27.98 
 
 65 
 
 66 
 
 60.18 
 
 27.11 
 
 60.06 
 
 27.37 
 
 59.94 
 
 27.63 
 
 59.82 
 
 27.89 
 
 59.69 
 
 28.15 
 
 59.57 
 
 28.41 
 
 66 
 
 67 
 
 61 .09 
 
 27.52 
 
 60.97 
 
 27.78 
 
 6o.85 
 
 28.05 
 
 60.72 
 
 28.32 
 
 60.60 
 
 28.58 
 
 60.47 
 
 28.84 
 
 67 
 
 68 
 
 62.00 
 
 27.93 
 
 61.88 
 
 28.20 
 
 61.75 
 
 28.47 
 
 61. 63 
 
 28.74 
 
 61. 5o 
 
 29.01 
 
 61. 38 
 
 29.27 
 
 68 
 
 69 
 
 62.91 
 
 28.34 
 
 62.79 
 
 28.61 
 
 62.66 
 
 28.89 
 
 62.54 
 
 29.16 
 
 62.41 
 
 29.43 
 
 62.28 
 
 29-71 
 
 69 
 
 70 
 
 63.82 
 
 28.75 
 
 63.70 
 
 29. o3 
 
 63.57 
 
 29.31 
 
 63.44 
 
 29.58 
 
 63. 3i 
 
 29.86 
 
 63.18 
 
 3o.i/j 
 
 70 
 
 71 
 
 64.74 
 
 29.16 
 
 64.61 
 
 29.44 
 
 64.48 
 
 29.72 
 
 64.35 
 
 3o.oi 
 
 64.22 
 
 30.29 
 
 64.08 
 
 30.57 
 
 71 
 
 72 
 
 65.65 
 
 29.57 
 
 65.52 
 
 29.86 
 
 65.39 
 
 3o.i4 
 
 65.25 
 
 3o.43 
 
 65.12 
 
 30.71 
 
 64.99 
 
 3i.oo 
 
 72 
 
 73 
 
 66.56 
 
 29.98 
 
 66.43 
 
 30.27 
 
 66.29 
 
 3o.56 
 
 66.16 
 
 30.85 
 
 66.03 
 
 3i.i4 
 
 65.89 
 
 3i.43 
 
 73 
 
 74 
 
 67.47 
 
 30.39 
 
 67.34 
 
 30.69 
 
 67.20 
 
 30.98 
 
 67.07 
 
 31.27 
 
 66.93 
 
 31.57 
 
 66.79 
 
 31.86 
 
 74 
 
 75 
 
 68.38 
 
 3o.8o 
 
 68.25 
 
 3i.io 
 
 68.11 
 
 3i.4o 
 
 67.97 
 
 31.70 
 
 67.83 
 
 31.99 
 
 67.69 
 
 32.29 
 
 75 
 
 76 
 
 69.29 
 
 3l.2I 
 
 69.16 
 
 31.52 
 
 69.02 
 
 31.82 
 
 68.88 
 
 32.12 
 
 68.74 
 
 32.42 
 
 68.60 
 
 32.72 
 
 76 
 
 77 
 
 70.21 
 
 31.63 
 
 70.07 
 
 31.93 
 
 69.93 
 
 32.24 
 
 69.79 
 
 32.54 
 
 69.64 
 
 32.85 
 
 69.50 
 
 33. i5 
 
 77 
 
 78 
 
 71.12 
 
 32.o4 
 
 70.98 
 
 32.35 
 
 70.84 
 
 32.66 
 
 70.69 
 
 32.96 
 
 70.55 
 
 33.27 
 
 70.40 
 
 33.58 
 
 78 
 
 79 
 
 72.03 
 
 32.45 
 
 71.89 
 
 32.76 
 
 71.74 
 
 33.07 
 
 71 .60 
 
 33.39 
 
 71.45 
 
 33.70 
 
 71.30 
 
 34.01 
 
 79 
 
 80 
 
 72.94 
 
 32.86 
 
 72.80 
 
 33.18 
 
 72.65 
 
 33.49 
 
 72. 5o 
 
 33.81 
 
 72.36 
 
 34.13 
 
 72.21 
 
 34.44 
 
 80 
 
 81 
 
 73.85 
 
 33.27 
 
 73.71 
 
 33.59 
 
 73.56 
 
 33.91 
 
 73.41 
 
 34.23 
 
 73.26 
 
 34.55 
 
 73.11 
 
 34.87 
 
 81 
 
 82 
 
 74.76 
 
 33.68 
 
 74.62 
 
 34.00 
 
 74.47 
 
 34.33 
 
 74.32 
 
 34.65 
 
 74.17 
 
 34.9S 
 
 74.01 
 
 35. 3o 
 
 82 
 
 83 
 
 75.68 
 
 34.09 
 
 75.53 
 
 34.42 
 
 75.38 
 
 34.75 
 
 75.22 
 
 35.08 
 
 75.07 
 
 35.41 
 
 74.91 
 
 35.73 
 
 83 
 
 84 
 
 76.59 
 
 34.5o 
 
 76.44 
 
 34.83 
 
 76.28 
 
 35.17 
 
 76.13 
 
 35.5o 
 
 75.97 
 
 35.83 
 
 75.82 
 
 36.16 
 
 84 
 
 85 
 
 77. 5o 
 
 34.91 
 
 77.35 
 
 35.25 
 
 77.19 
 
 35.59 
 
 77-04 
 
 35.92' 
 
 76.88 
 
 36.2 6 
 
 76.72 
 
 36.59 
 
 85 
 
 86 
 
 78.41 
 
 35.32 
 
 78.26 
 
 35.66 
 
 78.10 
 
 36.00 
 
 77-94 
 
 36.35'77.78 
 
 36.66 
 
 77.62 
 
 37.02 
 
 86 
 
 87 
 
 79.32 
 
 35.73 
 
 79.17 
 
 36.o8 
 
 79.01 
 
 36.42 
 
 78.85 
 
 36.77; 
 
 78.69 
 
 37.1 1 
 
 78.52 
 
 37.45 
 
 87 
 
 88 
 
 80.24 
 
 36.14 
 
 80.08 
 
 36.49 
 
 79.92 
 
 36.84 
 
 79.76 
 
 37-'9 79-59 
 
 37.54 
 
 79.43 
 
 37.88 
 
 88 
 
 89 
 
 81. i5 
 
 36.55' 
 
 80.99 
 
 36.91 
 
 80.82 
 
 37.26 
 
 80.66 
 
 37.61 |8o.5o 
 
 37.96 
 
 80.33 
 
 38.32 
 
 89 
 
 90 
 
 82.06 
 
 36.96 
 
 81.90 
 
 37.32 
 
 81.73 
 
 37.68 
 
 81.57 
 
 38. o4 81.40 
 
 38.39 
 
 81.23 
 
 38.75 
 
 90 
 
 91 
 
 82.97 
 
 37.38 
 
 82.81 
 
 37.74 
 
 82.64 
 
 38. 10 
 
 82.47 
 
 38.46' 82.31 
 
 38.82 
 
 82.14 
 
 39.18 
 
 91 
 
 92 
 
 83.88 
 
 37.79 
 
 83.72 
 
 38. i5 
 
 83.55 
 
 38.52 
 
 83.38 
 
 38.88:83.21 
 
 39.24 
 
 83. o4 
 
 39.61 
 
 92 
 
 93 
 
 84.79 
 
 38. 20 
 
 84.63 
 
 38.57 
 
 84.46 
 
 38.94! 
 
 84.29 
 
 39.30 84.11 
 
 39.67 
 
 83.94 
 
 4o.o4 
 
 93 
 
 94 
 
 85.71 
 
 38.6i 
 
 85.54 
 
 38.98 
 
 85.37 
 
 39.35 
 
 85.19 
 
 39.7385.02 
 
 4o.io 
 
 84.84 
 
 40.47 
 
 94 
 
 95 
 
 86.62 
 
 39.02 
 
 86.45 
 
 39.40 
 
 86.27 
 
 39.77 
 
 86.10 
 
 4o.i5 
 
 85.92 
 
 4o.52 
 
 85.75 
 
 40.90 
 
 95 
 
 96 
 
 87.53 
 
 39.43! 
 
 87.36 
 
 39.81 
 
 87.18 
 
 40.19 
 
 87.01 
 
 40.57 
 
 86.83 
 
 40.95 
 
 86.65 
 
 4i.33 
 
 96 
 
 97 
 
 88.44 
 
 39.841 
 
 88.27 
 
 4o.23 
 
 88.09 
 
 4o.6i 
 
 87.91 
 
 40.99 87.73 
 
 41.36 
 
 87.55 
 
 41.76 
 
 97 
 
 98 
 
 89.35 
 
 4o.25 
 
 89.18 
 
 4o.64 
 
 89.00 
 
 4i.o3 
 
 88.82 
 
 41.42,88.64 
 
 41.80 
 
 88.45 
 
 42.19 
 
 98 
 
 99 
 
 90.26 
 
 40.66 
 
 90.09 
 
 4i.o5 
 
 89.91 
 
 41.45 
 
 89.72 
 
 4r.84 '89.54 
 
 42.23 
 
 89.36 
 
 42.62 
 
 99 
 
 100 
 
 a 
 to 
 Q 
 
 91.18 
 
 41.07 
 
 91.00 
 
 41.47 
 
 90.81 
 
 41.87 
 
 90.63 
 
 42.26 90.45 
 
 42.66 
 
 90.26 
 
 43.o5 
 
 100 
 
 Dep. 
 
 Lat 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 I At ii 
 
 Dep. 1 lAt 
 
 Dep. I.At. 
 
 S 
 
 a 
 
 S 
 
 m 
 
 a 
 
 65% 
 
 Deg. 
 
 65K Deg. 
 
 651^ Deg. 
 
 65 Deg. 
 
 64% Deg. 
 
 64^ Deg. 
 
170 
 
 Tbaveese Table. 
 
 Distance. 
 
 25% Deg. 
 
 26 Deg. 
 
 26% Deg. 
 
 26>^ Deg. 
 
 26% Deg. 
 
 27 Deg. 
 
 D 
 D 
 
 lAt. 1 Dep. 1 
 
 Ul. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. j 
 
 Lat. 1 Dep. 
 
 Lat. 
 
 Dep. 
 
 0.90 
 1.80 
 
 0.43 
 
 0.90 
 
 0.44 
 
 0.90 
 
 0.44 
 
 0.89 
 
 0.45 
 
 0.89 
 
 0.45 
 
 o.8y 
 
 0.4^ 
 
 I 
 
 2 
 
 0.87 
 I 3o 
 
 1.80 
 
 0.88 
 
 1.79 
 
 0.88 
 
 1.79 
 
 0.89 
 
 1.79 
 
 0.90 
 
 1.7b 
 
 0.91 
 
 2 
 
 3 
 
 2.70 
 3.60 
 
 2.70 
 
 1.32 
 
 2.69 
 
 1.33 
 
 2.68 
 
 1.34 
 
 2.68 
 
 1.35 
 
 2.67 
 
 1.36 
 
 3 
 
 / 
 
 1:74 
 2.17 
 
 3.60 
 
 1.75 
 
 3.59 
 
 1.77 
 
 3.58 
 
 1.78 
 
 3.57 
 
 1.80 
 
 3.56 
 
 1.82 
 
 4 
 
 5 
 
 4.5o 
 
 4.49 
 
 2.19 
 
 4.48 
 
 2.21 
 
 4.47 
 
 2.23 
 
 4.46 
 
 2.25 
 
 4.45 
 
 2.27 
 
 5 
 
 6 
 
 5.4o 
 
 2.61 
 
 5.39 
 
 2.63 
 
 5.38 
 
 2.65 
 
 5.37 
 
 2.68 
 
 5.36 
 
 2.70 
 
 5.35 
 
 2.72 
 
 6 
 
 7 
 
 8 
 
 6.3o 
 
 3.o4 
 
 6.29 
 
 3.07 
 
 6.28 
 
 3.10 
 
 6.26 
 
 3.12 
 
 6.25 
 
 3.i5 
 
 6.24 
 
 3.18 
 
 7 
 
 7.21 
 8.11 
 
 3.48 
 
 7.19 
 
 3.5i 
 
 7.17 
 
 3.54 
 
 7.16 
 
 3.57 
 
 7.14 
 
 3.60 
 
 7.i3 
 
 3.63 
 
 8 
 
 9 
 
 10 
 
 3.91 
 4.34 
 
 8.09 
 
 3.95 
 
 8.07 
 
 3.98 
 
 8.o5 
 
 4.02 
 
 8.04 
 
 4.o5 
 
 8.02 
 
 4.09 
 
 9 
 
 9.01 
 
 8.99 
 
 4.38 
 
 8.97 
 
 4.42 
 
 8.95 
 
 4.46 
 
 8.93 
 
 4.5o 
 
 8.91 
 
 4.54 
 
 ID 
 
 II 
 
 9.91 
 10.81 
 
 4.78 
 
 9.89 
 
 4.82 
 
 9.87 
 
 4.87 
 
 9.84 
 
 4.91 
 
 9.82 
 
 4.95 
 
 9.80 
 
 4.99 
 
 11 
 
 12 
 
 5.21 
 
 10.79 
 
 5.26 
 
 10.76 
 
 5.3i 
 
 10.74 
 
 5.35 
 
 10.72 
 
 5.4o 
 
 10.69 
 
 5.45 
 
 12 
 
 i3 
 
 II. 71 
 12.61 
 
 5.65 
 
 11.68 
 
 5.70 
 
 11.66 
 
 5.75 
 
 11.63 
 
 5.80 
 
 II. 61 
 
 5.85 
 
 11. 5b 
 
 5.90 
 
 i3 
 
 i4 
 
 6.08 
 
 12.58 
 
 6.i4 
 
 12.56 
 
 6.19 
 
 12.53 
 
 6.25 
 
 12. 5o 
 
 6.3o 
 
 12.47 
 
 6.36 
 
 i4 
 
 i5 
 
 i3.5i 
 
 6.52 
 
 i3.48 
 
 6.58 
 
 i3.45 
 
 6.63 
 
 l3.42 
 
 6.69 
 
 13.39 
 
 6.75 
 
 13.37 
 
 6.81 
 
 i5 
 
 i6 
 
 i4.4i 
 
 6.95 
 
 i4.38 
 
 7.01 
 
 i4.35 
 
 7.08 
 
 l4.32 
 
 7.14 
 
 14.29 
 
 7.20 
 
 14.26 
 
 7.26 
 
 16 
 
 17 
 
 i5.3i 
 
 7-39 
 7.82; 
 
 i5.28 
 
 7.45 
 
 i5.25 
 
 7.52 
 
 l5.21 
 
 7.59 
 
 i5.i8 
 
 7.65 
 
 i5.i5 
 
 7.72 
 
 17 
 
 18 
 
 16.21 
 
 16.18 
 
 7.89 
 
 16.14 
 
 7.96 
 
 16. 1 1 
 
 8.o3 
 
 16.07 
 
 8.10 
 
 16. o4 
 
 8.17 
 
 18 
 
 19 
 20 
 
 17.11 
 
 8.25 
 
 17.08 
 
 8.33 
 
 17.04 
 
 8.4oi 
 
 17.00 
 
 8.48 
 
 16.97 
 
 8.55 
 
 16,93 
 
 8.63 
 
 19 
 
 18.01 
 
 8.69 
 
 17.98 
 
 8.77 
 
 17.94 
 
 8.85 
 
 17.90 
 
 8.92 
 
 17.86 
 
 9.00 
 
 17.82 
 
 9.08 
 
 20 
 
 21 
 
 18.91 
 
 9.12 
 
 18.87 
 
 9.21 
 
 i8.83 
 
 9.29 
 
 18.79 
 
 9.37 
 
 18.75 
 
 9.45 
 
 18.71 
 
 9.53 
 
 21 
 
 22 
 
 19.82 
 
 9.56 
 
 19.77 
 
 9.64 
 
 19.73 
 
 9-73 
 
 19.69 
 
 9.82 
 
 19.65 
 
 9.90 
 
 19.60 
 
 9-99 
 
 22 
 
 23 
 
 20.72 
 
 9-99 
 
 20.67 
 
 10.08 
 
 20. 63 
 
 10.17 
 
 20.58 
 
 10.26 
 
 20.54 
 
 10.35 
 
 20.49 
 
 10.44 
 
 23 
 
 24 
 
 21.62 
 
 10.43 
 
 21.57 
 
 10. 52 
 
 21.52 
 
 10.61 
 
 21.48 
 
 10.71 
 
 21.43 
 
 10.80 
 
 21.38 
 
 10.90 
 
 24 
 
 25 
 
 22.52 
 
 10.86 
 
 22.47 
 
 10.96 
 
 22.42 
 
 11.06 
 
 22.37 
 
 II. i5 
 
 22.32 
 
 11.25 
 
 22.28 
 
 11.35 
 
 25 
 
 26 
 
 23.42 
 
 II. 3o 
 
 23.37 
 
 11.40 
 
 23.32 
 
 ii.5o 
 
 28.27 
 
 11.60 
 
 23.22 
 
 11.70 
 
 23.17 
 
 11.80 
 
 26 
 
 27 
 
 24.32 
 
 11.73 
 
 24.27 
 
 11.84 
 
 24.22 
 
 11.94 
 
 24.16 
 
 12. o5 
 
 24.1 I 
 
 12. i5 
 
 24.06 
 
 12.26 
 
 27 
 
 28 
 
 25.22 
 
 12.16 
 
 25.17 
 
 12.27 
 
 25.11 
 
 12.38 
 
 25.06 
 
 12.49 
 
 25.00 
 
 12.60 
 
 24.95 
 
 12.71 
 
 28 
 
 29 
 
 26.12 
 
 12.60 
 
 26.06 
 
 12.71 
 
 26.01 
 
 12.83 
 
 25.95 
 
 12.94 
 
 25.90 
 
 i3.o5 
 
 25.84 
 
 13.17 
 
 29 
 
 3o 
 
 27.02 
 
 i3.o3 
 
 26.96 
 
 i3.i5 
 
 26.91 
 
 13.27 
 
 26.85 
 
 13.39 
 
 26.79 
 
 i3.5o 
 
 26.73 
 
 13.62 
 
 3o 
 
 3i 
 
 27.92 
 
 13.47 
 
 27.86 
 
 13.59 
 
 27.80 
 
 13.71 
 
 27.74 
 
 i3.83 
 
 27.68 
 
 13.95 
 
 27.62 
 
 14.07 
 
 3i 
 
 32 
 
 28.82 
 
 13.90 
 
 28.76 
 
 i4.o3 
 
 28.70 
 
 i4.i5 
 
 28.64 
 
 14.28 
 
 28.58 
 
 i4.4o 
 
 28.51 
 
 i4.53 
 
 32 
 
 33 
 
 29.72 
 
 14.34 
 
 29.66 
 
 14.47 
 
 29.60 
 
 14.60 
 
 29.53 
 
 14.72 
 
 29.47 
 
 i4.85 
 
 29.40 
 
 14.98 
 
 33 
 
 34 
 
 30.62 
 
 14.77 
 
 30.56 
 
 14.90 
 
 3o.49 
 
 i5.o4 
 
 30.43 
 
 i5.i7 
 
 30.36 
 
 i5.3o 
 
 30.29 
 
 1 5.44 
 
 34 
 
 35 
 
 31.52 
 
 l5.21 
 
 3i.46 
 
 i5.34 
 
 31.39 
 
 i5.48 
 
 31.32 
 
 15.62 
 
 31.25 
 
 15.75 
 
 31.19 
 
 15.89 
 
 35 
 
 36 
 
 32.43 
 
 i5.64 
 
 32.36 
 
 15.78 
 
 32.29 
 
 15.92 
 
 32.22 
 
 16.06 
 
 32. i5 
 
 16.20 
 
 32.08 
 
 16.34 
 
 36 
 
 37 
 
 33.33 
 
 16.07 
 
 33.26 
 
 16.22 
 
 33.18 
 
 16. 36 
 
 33.11 
 
 16. 5i 
 
 33.04 
 
 i6.65 
 
 32.97 
 
 16.80 
 
 37 
 
 38 
 
 34.23 
 
 16. 5i 
 
 34. i5 
 
 16.66 
 
 34.08 
 
 16.81 
 
 34.01 
 
 16.96 
 
 33.93 
 
 17.10 
 
 33.86 
 
 17.25 
 
 38 
 
 39 
 
 35.13 
 
 16.94 
 
 35.o5 
 
 17.10 
 
 34.98 
 
 17.25 
 
 34.90 
 
 17.40 
 
 34.83 
 
 17.55 
 
 34.75 
 
 17.71 
 
 39 
 
 4o 
 
 36.03 
 
 17.38 
 
 35.95 
 
 17.53 
 
 35.87 
 
 17.69 
 
 35.80 
 
 17.85 
 
 35.72 
 
 18.00 
 
 35.64 
 
 18.16 
 
 4o 
 
 4i 
 
 36.93 
 
 17.81 
 
 36.85 
 
 17.97 
 
 36.77 
 
 18. i3 
 
 36.69 
 
 18.29 
 
 36.6i 
 
 18.45 
 
 36.53 
 
 18.61 
 
 4i 
 
 42 
 
 37.83 
 
 18.25 
 
 37.75 
 
 i8.4i 
 
 37.67 
 
 18. 58 
 
 37.59 
 
 18.74 
 
 37.51 
 
 18.90 
 
 37.42 
 
 19.07 
 
 42 
 
 43 
 
 38.73 
 
 18.68 
 
 38.65 
 
 i8.85 
 
 38.57 
 
 19.02 
 
 38.48 
 
 19.19 
 
 38.4o 
 
 19.35 
 
 38. 3i 
 
 19.52 
 
 43 
 
 44 
 
 39.63 
 
 19.12 
 
 39.55 
 
 19.29 
 
 39.46 
 
 19.46 
 
 39.38 
 
 19.63 
 
 39.29 
 
 19.80 
 
 39.20 
 
 19.98 
 
 44 
 
 45 
 
 40.53 
 
 19.55 
 
 40.45 
 
 19.73 
 
 40.36 
 
 19.90 
 
 40.27 
 
 20.08 
 
 40.18 
 
 20.25 
 
 4o.io 
 
 20.43 
 
 45 
 
 46 
 
 41.43 
 
 19.98 
 
 41.34 
 
 20.17 
 
 41.26 
 
 20.35 
 
 41.17 
 
 20.53 
 
 4 1. 08 
 
 20.70 
 
 40.99 
 
 20.88 
 
 1 
 
 46 
 
 47 
 
 42.33 
 
 20.42 
 
 I 42.2/i 
 
 20.60 
 
 42. i5 
 
 20.79 
 
 42.06 
 
 20.97 
 
 41.97 
 
 21. l5 
 
 41.88 
 
 21.34 
 
 47 
 
 48 
 
 43.25 
 
 20.85 
 
 43.14 
 
 21. ol 
 
 43.o5 
 
 21.23 
 
 42.96 
 
 21.42 
 
 42.86 
 
 21 .60 
 
 42.77 
 
 21.79 
 
 48 
 
 49 
 
 44.1:= 
 
 21.29 
 
 44.0/ 
 
 21.48 
 
 43.95 
 
 21.67 
 
 43.85 
 
 21.86 
 
 43.76 
 
 22. 05 
 
 43.66 
 
 22.25 
 
 49 
 
 5o 
 
 45.0^ 
 
 ) 21. 72 
 
 i 44.9/ 
 
 I 21.92 
 
 44.84 
 
 Dep. 
 
 22.1 I 
 
 44.75 
 
 22. 3i 
 
 44.65 
 
 22. 5o 
 
 44.55 
 
 22.70 
 
 5o 
 
 
 
 a 
 5 
 
 Q 
 
 
 
 Q 
 
 Dep. 
 
 Lat. 
 
 ! Dep. 
 
 r,iit. 
 
 I,at. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 Lat 
 
 Dep. 1 I<at. 
 
 U% Deg. 64 
 
 Deg. 
 
 1 
 
 Deg. 
 
 631^ 
 
 Deg. 
 
 63% Deg. 
 
 63 Deg. 
 

 
 
 
 
 1 B A^ 
 
 V^ERSE 1 
 
 ABLE. 
 
 
 
 
 17 
 
 5' 
 
 s- 
 
 D 
 9 
 
 5i 
 
 1 
 25% Deg. 
 
 26 Deg. 
 
 26% Deg. 
 
 26% Deg. 
 
 26% Deg. 
 
 27 Deg. 
 
 a 
 1 
 
 Lat. 
 
 Uep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 
 
 45.94 
 
 22.16 
 
 45.84 
 
 22.36 
 
 45.74 
 
 22.56 
 
 45.64 
 
 22.76 
 
 45.54 
 
 22.96 
 
 45.44 
 
 23. i5 
 
 5i 
 
 52 
 
 46.84 
 
 22.59 
 
 46.74 
 
 22.80 
 
 46.64 
 
 23.00 
 
 46.54 
 
 23.20 
 
 46.43 
 
 23.41 
 
 46.33 
 
 23.61 
 
 52 
 
 53 
 
 47.74 
 
 23.o3 
 
 47-64 
 
 23.23 
 
 47.53 
 
 23.44 
 
 47-43 
 
 23.65 
 
 47-33 
 
 23.86 
 
 47.22 
 
 24.06 
 
 53 
 
 54 
 
 48.64 
 
 23.46 
 
 48.53 
 
 23.67 
 
 48.43 
 
 23.88 
 
 48.33 
 
 24.09 
 
 48.22 
 
 24.3l 
 
 48.11 
 
 24.62 
 
 54 
 
 55 
 
 49.54 
 
 23.89 
 
 49.43 
 
 24.11 
 
 49.33 
 
 24.33 
 
 49.22 
 
 24.54 
 
 49.11 
 
 24.76 
 
 49.01 
 
 24.97 
 
 55 
 
 56 
 
 5o.44 
 
 24.33 
 
 5o.33 
 
 24.55 
 
 5o.22 
 
 24.77 
 
 5o.I2 
 
 24.99 
 
 5o.oi 
 
 26.21 
 
 49.90 
 
 26.42 
 
 56 
 
 5? 
 
 5i.34 
 
 24.76 
 
 5i.23 
 
 24.99 
 
 5l.I2 
 
 25.21 
 
 5i.oi 
 
 25.43 
 
 50.90 
 
 26.66 
 
 60.79 
 
 26.88 
 
 57 
 
 58 
 
 58 
 
 62.24 
 
 25.20 
 
 52.13 
 
 25.43 
 
 52. 02 
 
 25.65 
 
 51.91 
 
 25.88 
 
 5i-79 
 
 26.11 
 
 61.68 
 
 26.33 
 
 59 
 
 53.14 
 
 25.63 
 
 53. o3 
 
 25.86 
 
 52.92 
 
 26.09 
 
 52.80 
 
 26.33 
 
 62.69 
 
 26.56 
 
 62.67 
 
 26.79 
 
 27.24 
 
 59 
 60 
 
 6o 
 
 54.04 
 
 26.07 
 
 53.93 
 
 26.30 
 
 53.81 
 
 26.54 
 
 53.70 
 
 26.77 
 
 63.58 
 
 27.01 
 
 53.46 
 
 6i 
 
 54.94 
 
 26. 5o 
 
 54.83 
 
 26.74 
 
 54.71 
 
 26.98 
 
 54.59 
 
 27.22 
 
 54.47 
 
 27.46 
 
 54.35 
 
 27.69 
 
 61 
 
 62 
 
 55.84 
 
 26.94 
 
 55.73 
 
 27.18 
 
 55.61 
 
 27.42 
 
 55.49 
 
 27.66 
 
 55.36 
 
 27.91 
 
 65.24 
 
 28.15 
 
 62 
 
 63 
 
 56.74 
 
 27.37 
 
 56.62 
 
 27.62 
 
 56.5o 
 
 27.86 
 
 56.38 
 
 28.11 
 
 56.26 
 
 28.36 
 
 56.13 
 
 28.60 
 
 63 
 
 64 
 
 57.64 
 
 27.80 
 
 57.52 
 
 28.06 
 
 57.40 
 
 28.31 
 
 57.28 
 
 28.56 
 
 67.16 
 
 28.81 
 
 67.02 
 
 29,06 
 29.61 
 
 64 
 
 65 
 
 58.55 
 
 28.24 
 
 58.42 
 
 28.49 
 
 58.3o 
 
 28.75 
 
 58.17 
 
 29.00 
 
 58.04 
 
 29.26 
 
 67.92 
 
 65 
 
 66 
 
 59.45 
 
 28.67 
 
 59.32 
 
 28.93 
 
 59.19 
 
 29.19 
 
 59.07 
 
 29.45 
 
 58.94 
 
 29.71 
 
 58.8i 
 
 29.96 
 
 66 
 
 67 
 
 60.35 
 
 29.1 1 
 
 60.22 
 
 29.37 
 
 60.09 
 
 29.63 
 
 59.96 
 
 29.90 
 
 59.83 
 
 3o.i6 
 
 69.70 
 
 3o.42 
 
 67 
 
 68 
 
 61.25 
 
 29.54 
 
 6l.I2 
 
 29.81 
 
 60.99 
 
 3o.o8 
 
 60.86 
 
 3o.34 
 
 60.72 
 
 3o.6i 
 
 60.69 
 
 30.87 
 
 68 
 
 69 
 
 62.15 
 
 29.98 
 
 62.02 
 
 30.25 
 
 61.88 
 
 3o.52 
 
 61.75 
 
 30.79 
 
 61.62 
 
 3i.o6 
 
 61.48 
 
 31.33 
 
 69 
 
 70 
 
 63.o5 
 
 3o.4i 
 
 62.92 
 
 30.69 
 
 62.78 
 
 30.96 
 
 62.65 
 
 3i.23 
 
 62.61 
 
 3i.5i 
 
 62.37 
 
 31.78 
 
 70 
 
 71 
 
 63.95 
 
 3o.85 
 
 63.8i 
 
 3l.I2 
 
 63.68 
 
 3i.4o 
 
 63.54 
 
 31.68 
 
 63.4o 
 
 31.96 
 
 63.26 
 
 32.23 
 
 71 
 
 72 
 
 64.85 
 
 31.28 
 
 64.71 
 
 31.56 
 
 64.57 
 
 3i.84 
 
 64.44 
 
 32.13 
 
 64.29 
 
 32.4l 
 
 64. i5 
 
 32.69 
 
 1 
 
 72 
 
 73 
 
 65.75 
 
 3i.7i 
 
 65.6i 
 
 32.00 
 
 65.47 
 
 32.29 
 
 65.33 
 
 32.57 
 
 66.19 
 
 32.86 
 
 65.04 
 
 33.14 
 
 73 
 
 74 
 
 66.65 
 
 32. i5 
 
 66. 5i 
 
 32.44 
 
 66.37 
 
 32.73 
 
 66.23 
 
 33.02 
 
 66.08 
 
 33. 3i 
 
 66.93 
 
 33.60 
 
 74 
 
 75 
 
 67.55 
 
 32.58 
 
 67.41 
 
 32.88 
 
 67.27 
 
 33.17 
 
 67.12 
 
 33.46 
 
 66.97 
 
 33.76 
 
 66.83 
 
 34.05 
 
 75 
 
 76 
 
 68.45 
 
 33.02 
 
 68.3i 
 
 33.32 
 
 68.16 
 
 33.61 
 
 68.01 
 
 33.91 
 
 67.87 
 
 34.21 
 
 67.72 
 
 34.5o 
 
 76 
 
 77 
 
 69.35 
 
 33.45 
 
 69.21 
 
 33.75 
 
 69.06 
 
 34.06 
 
 68.91 
 
 34.36 
 
 68.76 
 
 34.66 
 
 68.61 
 
 34.96 
 
 77 
 
 78 
 
 70.25 
 
 33.89 
 
 70.11 
 
 34.19 
 
 69.96 
 
 34.5o 
 
 69.80 
 
 34.80 
 
 69.66 
 
 35.11 
 
 69.60 
 
 36.4i 
 
 78 
 
 79 
 
 71.16 
 
 34.32 
 
 71.00 
 
 34.63 
 
 70. 85 
 
 34.94 
 
 70.70 
 
 35.25 
 
 70.55 
 
 36.66 
 
 70.39 
 
 35.87 
 
 79 
 
 80 
 
 72.06 
 
 34.76 
 
 71.90 
 
 35.07 
 
 71.75 
 
 35.38 
 
 71.59 
 
 35.70 
 
 71.44 
 
 36.01 
 
 71.28 
 
 36.32 
 
 80 
 
 81 
 
 72.96 
 
 35.19 
 
 72.80 
 
 35. 5i 
 
 72.65 
 
 35.83 
 
 72.49 
 
 36.14 
 
 72.33 
 
 36.46 
 
 72.17 
 
 36.77 
 
 81 
 
 82 
 
 73.86 
 
 35.62 
 
 73.70 
 
 35.95 
 
 73.54 
 
 36.27 
 
 73.38 
 
 36.59 
 
 73.22 
 
 36.91 
 
 73.06 
 
 37.23 
 
 82 
 
 83 
 
 74.76 
 
 36.06 
 
 74.60 
 
 36.38 
 
 74.44 
 
 36.71 
 
 74.28 
 
 37.03, 
 
 74.12 
 
 37.36 
 
 73.96 
 
 37.68 
 
 83 
 
 84 
 
 75.66 
 
 36.49 
 
 75.50 
 
 36.82 
 
 75.34 
 
 37.15 
 
 75.17 
 
 37.48 
 
 76.01 
 
 37.81 
 
 74.84 
 
 38.14 
 
 84 
 
 85 
 
 76.56 
 
 36.93 
 
 76.40 
 
 37.26 
 
 76.23 
 
 37.59 
 
 76.07 
 
 37.93 
 
 76.90 
 
 38.26 
 
 76.74 
 
 38.69 
 
 85 
 
 86 
 
 77.46 
 
 37.36 
 
 77.30 
 
 37.70 
 
 77. i3 
 
 38.04 
 
 76.96 
 
 38.37 76.80 
 
 38.71 
 
 76.63 
 
 39.04 
 
 86 
 
 87 
 
 78.36 
 
 37.80 
 
 78.20 
 
 38.14 
 
 78.03 
 
 38.48 
 
 77.86 
 
 38.82 177.69 
 
 39.16 
 
 77.62 
 
 39.60 
 
 87 
 
 88 
 
 79.26 
 
 38.23 
 
 79.09 
 
 38.58 
 
 78.92 
 
 38.92 
 
 78.75 
 
 39.27178.58 
 
 39.61 
 
 78.41 
 
 39.96 
 
 88 
 
 89 
 
 80.16 
 
 38.67 
 
 79-99 
 
 39.01 
 
 79.82 
 
 39.36 
 
 79-65 
 
 39.71 79.48 
 
 4o.o6 
 
 79.30 
 
 4o.4i 
 
 89 
 
 90 
 
 81.06 
 
 39.10 
 
 80.89 
 
 39.45 
 
 80.72 
 
 39.81 
 
 80.54 
 
 40.16 80.37 
 
 40.61 
 
 80.19 
 
 40.86 
 
 90 
 
 91 
 
 81.96 
 
 39.53 
 
 81.79 
 
 39.89 
 
 81.62 
 
 4o.25 
 
 81.44 
 
 1 
 4o.6o 81.26 
 
 40.96 
 
 81.08 
 
 4i.3i 
 
 91 
 
 92 
 
 82.86 
 
 39.97 
 
 82.69 
 
 40.33 
 
 82.51 
 
 40.69 
 
 82.33 
 
 4i.o5 82.15 
 
 4i.4i 
 
 81.97 
 
 41.77 
 
 92 
 
 93 
 
 83.76 
 
 4o.4o 
 
 83.59 
 
 40.77 
 
 83.41 
 
 4i.i3 
 
 83.23 
 
 4i.5o 
 
 83.05 
 
 41.86 
 
 82.86 
 
 /o .22 
 
 93 
 
 94 
 
 84.67 
 
 40.84 
 
 84.49 
 
 4l-2I 
 
 84.3i 
 
 41.58 
 
 84.12 
 
 41.94 
 
 83.94 
 
 42. 3i 
 
 83.75 
 
 42.68 
 
 94 
 
 95 
 
 85.57 
 
 41.27 
 
 85.39 
 
 41.65 
 
 85.20 
 
 42.02 
 
 85.02 
 
 42.39 
 
 84.83 
 
 42.76 
 
 84.65 
 
 43.13 
 
 95 
 
 96 
 
 86.47 
 
 41.71 
 
 86.28 
 
 42.08 
 
 86.10 
 
 42.46 
 
 85.91 
 
 42.83 
 
 85.73 
 
 43.21 
 
 85.54 
 
 43.58 
 
 96 
 
 97 
 
 87.37 
 
 42.14 
 
 87.18 
 
 42.52 
 
 87.00 
 
 42.90 
 
 86.81 
 
 43.28 86.62 
 
 43.66 
 
 86.43 
 
 44.04 
 
 97 
 
 98 
 
 88.27 
 
 42.58 
 
 88.08 
 
 42.96 
 
 87.89 
 
 43.34 
 
 87.70 
 
 43.73 87.51 
 
 44.11 
 
 87.32 
 
 44.49 
 
 98 
 
 99 
 
 89.17 
 
 43.01 
 
 88.98 
 
 43.40 
 
 88.79 
 
 43.79 
 
 88.60 
 
 44.17 88.4o 
 
 44.56 
 
 88.21 
 
 44.95 
 
 99 
 
 100 
 
 6 
 
 □ 
 
 3 
 en 
 
 a 
 
 90.07 
 
 43.44 
 
 89.88 
 
 43.84 
 
 89. G9 
 
 44.23 
 
 89.49 
 
 44.62 89.30 
 
 45.01 
 
 89.10 
 
 45.40 
 
 100 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 I.at. il 
 
 Dep. 1 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 a 
 
 s 
 
 Q 
 
 u% 
 
 Deg. 
 
 64 Deg. 
 
 63% Deg. 
 
 631^ Deg. 
 
 63>^ Deg. 
 
 63 Deg. 
 
172 
 
 Traverse Table. 
 
 2 
 
 Eo' 
 
 § 
 
 8 
 
 37KDcg. 
 
 27^ Deg. 
 
 27% Deg. 
 
 28 Deg. 
 
 28K Deg. 
 
 28^ Deg. 
 
 
 
 3 
 * 
 
 I-ai. 
 
 Uep. j 
 
 Lat. 
 
 I)ep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 0.89 
 
 1.78 
 2.67 
 3.56 
 
 1 
 
 0.46 
 
 0.89 
 
 0.46 
 
 0.88 
 
 0.47 
 
 0.88 
 
 0.47 
 
 0.88 
 
 0.47 
 
 0.88 
 
 0.48 
 
 1 
 
 2 
 
 0.92 
 
 1.37 
 1.83 
 
 1.77 
 
 0.92 
 
 1.77 
 
 0.93 
 
 1.77 
 
 0.94 
 
 1.76 
 
 0.95 
 
 1.76 
 
 0.95 
 
 2 
 
 3 
 
 2.66 
 
 1.39 
 
 2.65 
 
 i.4o 
 
 2.65 
 
 i.4i 
 
 2.64 
 
 1.42 
 
 2.64 
 
 1.43 
 
 3 
 
 4 
 
 3.55 
 
 1.85 
 
 3.54 
 
 1.86 
 
 3.53 
 
 1.88 
 
 3.52 
 
 1.89 
 
 3.52 
 
 I.91 
 
 4 
 
 5 
 
 4.45 
 
 2.29 
 
 4.44 
 
 2.3l 
 
 4.42 
 
 2.33 
 
 4.4i 
 
 2.35 
 
 4.4o 
 
 2.37 
 
 4.39 
 
 2.39 
 
 5 
 
 6 
 
 5.33 
 
 2.75 
 
 5.32 
 
 2.77 
 
 5.3i 
 
 2.79 
 
 5.3o 
 
 2.82 
 
 5.29 
 
 2.84 
 
 5.27 
 
 2.86 
 
 6 
 
 7 
 8 
 
 6.22 
 
 3.21 
 
 6.21 
 
 3.23 
 
 6.19 
 
 3.26 
 
 6.18 
 
 3.29 
 
 6.17 
 
 3.3i 
 
 6.i5 
 
 3.34 
 
 7 
 
 7.11 
 
 3.66 
 
 7.10 
 
 3.69 
 
 7.08 
 
 3.72 
 
 7.06 
 
 3.76 
 
 7.o5 
 
 3.79 
 
 7.03 
 
 3.82 
 
 8 
 
 9 
 
 10 
 
 8.00 
 
 4.12 
 
 7.98 
 
 4.16 
 
 7.96 
 
 4.19 
 
 7.95 
 
 4.23 
 
 7.93 
 
 4.26 
 
 7.91 
 
 4.29 
 
 9 
 
 8.89 
 
 4.58 
 
 8.87 
 
 4.62 
 
 8.85 
 
 4.66 
 
 8.83 
 
 4.69 
 
 8.81 
 
 4.73 
 
 8.79 
 
 4.77 
 
 10 
 
 II 
 
 9.78 
 
 5.o4j 
 
 9.76 
 
 5.08 
 
 9.73 
 
 5.12 
 
 9.71 
 
 5.16 
 
 9.69 
 
 5.21 
 
 9.67 
 
 5.25 
 
 II 
 
 12 
 
 10.67 
 
 5.49 
 
 10. 64 
 
 5.54 
 
 10.62 
 
 5.59 
 
 10.60 
 
 5.63 
 
 10.57 
 
 5.68 
 
 10.55 
 
 5.73 
 
 12 
 
 i3 
 
 11.56 
 
 5.95; 
 
 6.4i 
 
 11.53 
 
 6.00 
 
 I i.5o 
 
 6.o5 
 
 11.48 
 
 6.10 
 
 11.45 
 
 6.i5 
 
 11.42 
 
 6.20 
 
 i3 
 
 i4 
 
 12.45 
 
 12.42 
 
 6.46 
 
 12.39 
 
 6.52 
 
 12.36 
 
 6.57 
 
 12.33 
 
 6.63 
 
 12. 3o 
 
 6.68 
 
 i4 
 
 i5 
 
 i3.34 
 
 6.87,13.31 
 
 6.93 
 
 13.27 
 
 6.98 
 
 l3.24 
 
 7.04 
 
 l3.21 
 
 7.10 
 
 i3.i8 
 
 7.16 
 
 i5 
 
 i6 
 
 14.22 
 
 7.33' 14.19 
 
 7.39 
 
 14.16 
 
 7.45 
 
 i4.i3 
 
 7.5i 
 
 14.09 
 
 7.57 
 
 i4.o6 
 
 7.63 
 
 16 
 
 I? 
 
 i5.ii 
 
 7.78 i5.o8 
 
 7.85 
 
 i5.o4 
 
 7.92 
 
 1 5.0 1 
 
 7.98 
 
 14.98 
 
 8.o5 
 
 14.94 
 
 8.11 
 
 17 
 
 i8 
 
 16.00 
 
 8.24 
 
 15.97 
 
 8.3i 
 
 15.93 
 
 8.38 
 
 15.89 
 
 8.45 
 
 i5.86 
 
 8.52 
 
 15.82 
 
 8.59 
 
 18 
 
 '9 
 
 16.89 
 
 8.70 
 
 16. 85 
 
 8.77 
 
 16.81 
 
 8.85 
 
 16.78 
 
 8.92 
 
 16.74 
 
 8.99 
 
 16.70 
 
 9.07 
 
 19 
 
 20 
 
 17.78 
 
 9.16 
 
 17.74 
 
 9.23 
 
 17.70 
 
 9.3i 
 
 17.66 
 
 9.39 
 
 17.62 
 
 9.47 
 
 17.58 
 
 9.54 
 
 20 
 
 21 
 
 18.67 
 
 q.62 
 
 i8.63 
 
 9.70 
 
 i8.58 
 
 9.78 
 
 18.54 
 
 9.86 
 
 18. 5o 
 
 9.94 
 
 18.46 
 
 10.02 
 
 21 
 
 22 
 
 19.56 
 
 7 
 
 10.07 
 
 19.51 
 
 10.16 
 
 19.47 
 
 10.24 
 
 19.42 
 
 10.33 
 
 19.38 
 
 10. 4i 
 
 19.33 
 
 10. 5o 
 
 22 
 
 23 
 
 20.45 
 
 10.53 
 
 20.40 
 
 10.62 
 
 20.35 
 
 10.71 
 
 20. 3i 
 
 10.80 
 
 20.26 
 
 10.89 
 
 20.21 
 
 10.97 
 
 23 
 
 24 
 
 21.34 
 
 10.99 
 
 21.29 
 
 11.08 
 
 21.24 
 
 11.17 
 
 21.19 
 
 11.27 
 
 21. i4 
 
 11.36 
 
 21.09 
 
 11.45 
 
 24 
 
 25 
 
 22.23 
 
 11.45 
 
 22.18 
 
 11.54 
 
 22.12 
 
 11.64 
 
 22.07 
 
 11.74 
 
 22.02 
 
 11.83 
 
 21.97 
 
 11.93 
 
 25 
 
 26 
 
 23.1 I 
 
 1 1.90 
 
 23.06 
 
 12.01 
 
 23.01 
 
 12. II 
 
 22.96 
 
 12.21 
 
 22.90 
 
 12. 3i 
 
 22.85 
 
 12. 4i 
 
 26 
 
 27 
 
 24.00 
 
 12.36 
 
 23.95 
 
 12.47 
 
 23.89 
 
 12.57 
 
 23.84 
 
 12.68 
 
 23.78 
 
 12.78 
 
 23.73 
 
 12.88 
 
 27 
 
 28 
 
 24.89 
 
 12.82 
 
 24.84 
 
 12.93 
 
 24.78 
 
 i3.o4 
 
 24.72 
 
 i3.i5 
 
 24.66 
 
 i3.25 
 
 24.61 
 
 i3.36 
 
 28 
 
 29 
 
 25.78 
 
 13.28 
 
 25.72 
 
 13.39 
 
 25.66 
 
 i3.5o 
 
 25.61 
 
 i3.6i 
 
 25.55 
 
 13.73 
 
 25.49 
 
 i3.84 
 
 29 
 
 3o 
 
 26.67 
 
 13.74 
 
 26.61 
 
 i3.85 
 
 26.55 
 
 13.97 
 
 26.49 
 
 i4.o8 
 
 26.43 
 
 l4.20 
 
 26.36 
 
 i4.3i 
 
 3o 
 
 3i 
 
 27.56 
 
 14.19 
 
 27.50 
 
 i4.3i 
 
 27.43 
 
 14.43 
 
 27.37 
 
 14.55 
 
 27.31 
 
 14.67 
 
 27.24 
 
 14.79 
 
 3i 
 
 32 
 
 28.45 
 
 i4.65 
 
 28.38 
 
 14.78 
 
 28.32 
 
 14.90 
 
 28.25 
 
 l5.02 
 
 28.19 
 
 i5.i5 
 
 28.12 
 
 15.27 
 
 32 
 
 33 
 
 29.34 
 
 i5.ii 
 
 29.27 
 
 1 5.24 
 
 29.20 
 
 15.37 
 
 29.14 
 
 i5.49 
 
 29.07 
 
 15.62 
 
 29.00 
 
 15.75 
 
 33 
 
 34 
 
 3o.23 
 
 15.57 
 
 3o.i6 
 
 15,70 
 
 30.09 
 
 i5.83 
 
 3o.02 
 
 15.96 
 
 29.95 
 
 16.09 
 
 29.88 
 
 16.22 
 
 34 
 
 35 
 
 3l.I2 
 
 i6.o3 
 
 3i.o5 
 
 16.16 
 
 30.97 
 
 i6.3o 
 
 30.90 
 
 16.43 
 
 30.83 
 
 16.57 
 
 30.76 
 
 16.70 
 
 35 
 
 36 
 
 32.00 
 
 16.48 
 
 31.93 
 
 16.62 
 
 31.86 
 
 16.76 
 
 31.79 
 
 16.90 
 
 31.71 
 
 17.04 
 
 3 1.64 
 
 17.18 
 
 36 
 
 37 
 
 32.89 
 
 16.94 
 17.40 
 
 32.82 
 
 17.08 
 
 32.74 
 
 17.23 
 
 32.67 
 
 17.37 
 
 32.59 
 
 17.51 
 
 32.52 
 
 17.65 
 
 37 
 
 38 
 
 33.78 
 
 33.71 
 
 17.55 
 
 33.63 
 
 17.69 
 
 33.55 
 
 17.84 
 
 33.47 
 
 17.99 
 
 33.39 
 
 i8.i3 
 
 38 
 
 39 
 
 34.67 
 
 17.86 
 
 34.59 
 
 18.01 
 
 34.5i 
 
 18.16 
 
 34.43 
 
 18. 3i 
 
 34.35 
 
 18.46 
 
 34.27 
 
 18.61 
 
 39 
 
 4o 
 
 35.56 
 
 18. 3i 
 
 35.48 
 
 18.47 
 
 35.40 
 
 18.62 
 
 35.32 
 
 18.78 
 
 35.24 
 
 18.93 
 
 35.15 
 
 19.09 
 
 4o 
 
 4i 
 
 36.45 
 
 18.77 
 
 36.37 
 
 18.93 
 
 36.28 
 
 19.09 
 
 36.20 
 
 19.25 
 
 36.12 
 
 19.41 
 
 36.03 
 
 19.56 
 
 4i 
 
 42 
 
 37.34 
 
 19.23 
 
 37.25 
 
 19.39 
 
 37.17 
 
 19.56 
 
 37.08 
 
 19.72 
 
 37.00 
 
 19.88 
 
 36.91 
 
 20. o4 
 
 42 
 
 43 
 
 38.23 
 
 19.69 
 
 38.14 
 
 19.86 
 
 38.o5 
 
 20.02 
 
 37.97 
 
 20.19 
 
 37.88 
 
 20.35 
 
 37.79 
 
 20.52 
 
 43 
 
 44 
 
 39.12 
 
 20. i5 
 
 ; 39.03 
 
 20.32 
 
 38.94 
 
 20.49 
 
 38.85 
 
 20.66 
 
 38.76 
 
 20.83 
 
 38.67 
 
 20.99 
 
 44 
 
 45 
 
 4o.oi 
 
 20.60 
 
 1 
 
 39.92 
 
 20.78 
 
 39.82 
 
 20.95 
 
 39.73 
 
 21. i3 
 
 39.64 
 
 21. 3o 
 
 39.55 
 
 21.47 
 
 45 
 
 46 
 
 40.89 
 
 21.06 
 
 ^ 40.80 
 
 21.24 
 
 40.71 
 
 21.42 
 
 40.62 
 
 21.60 
 
 4o.52 
 
 21.77 
 
 40.43 
 
 21.95 
 
 46 
 
 47 
 
 41.7*^ 
 
 21.52 
 
 41.69 
 
 '21.70 
 
 41.59 
 
 21.88 
 
 4i.5o 
 
 22.07 
 
 4i.4o 
 
 22.25 
 
 4i.3o 
 
 22.43 
 
 47 
 
 48 
 
 42.67 
 
 21.98 
 
 42.58 
 
 22.16 
 
 42.48 
 
 22.35 
 
 42.38 
 
 22.53 
 
 42.28 
 
 22.72 
 
 42.18 
 
 22.90 
 
 48 
 
 49 
 
 43. 5e 
 
 22. 4-^ 
 
 43.46 
 
 22.63 
 
 43.36 
 
 22.82 
 
 43.26 
 
 23.00 
 
 43.16 
 
 23.19 
 
 43.06 
 
 23.38 
 
 49 
 
 5o 
 
 V 
 
 u 
 
 a 
 2 
 
 Q 
 
 44.45 
 
 22.89 
 I,at. 
 
 44.35 
 
 23.09 
 
 I,at. 
 
 44.25 
 
 Dep. 
 
 23.28 
 
 44.15 
 
 23.47 
 
 44.04 
 
 23.67 
 
 43.94 
 Dep. 
 
 23.86 
 
 5o 
 
 Dep. 
 
 Dep. 
 
 Lat 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Lat. 
 
 c5 
 u 
 
 a 
 i2 
 
 CO 
 
 15 
 
 62% Deg. 
 
 Q2}4 Deg. 
 
 62M Deg. 
 
 62 
 
 Deg. 61% Deg. 
 
 611.^ Deg. 
 
Teavekse 
 
 T A B L E. 
 
 173 
 
 27% Deg. 
 
 Lat. 
 
 45.34 
 46.23 
 
 54.23 
 55.12 
 56. 01 
 56.90 
 
 57-79 
 
 Dep. 
 
 25.64 
 
 71 63.12 
 
 72 64.01 
 
 73 64.90 
 
 74 65.79 
 
 75 66.68 
 
 67.57 
 68.45 
 69.34 
 
 32. 5i 
 32.97 
 
 33.42 
 33.88 
 34.34 
 
 34.80 
 35.26 
 35.71 
 36.17 
 36.63 
 
 27}i Deg. 
 
 Lat. Uep 
 
 45.24 
 46.12 
 
 47.01 
 47-90 
 
 48.79 
 
 23.55, 
 
 24.01 
 
 24.47 
 
 24.93' 
 
 25.4o 
 
 25.86! 
 26.32 
 26.78 
 27.24 
 27.70 
 
 28.17 
 28.63 
 
 92 
 
 54.11 
 54.99 
 55.88 
 56.77 
 57.66 
 
 58.54 
 59.43 
 60.32 
 61.20 
 62.09 
 
 62.98 32.78 
 
 63.86 
 
 64.75 
 
 65.64 
 
 66.53 
 
 35.09 
 35.55 
 36.02 
 36.48 
 36.94 
 
 76.46 39.38 
 77.34 39.83 
 78.23 
 79.12 
 80.01 
 
 80.90 
 
 81.79 
 82.68 
 83.57 
 84.46 
 
 85.35 
 86.23 
 87.12 
 88.01 
 88.90 
 
 27% Deg. 
 
 Lat. 
 
 Uep. 
 
 45.13 
 
 46.02 
 
 46.90 
 
 47-79 
 48.67 
 
 49.56 
 
 5o.44 
 5i.33 
 
 52.21 
 53.10 
 
 53.98 
 
 54.87 
 55.75 
 
 56.64 
 57.52 
 
 58.4i 
 59.29 
 60.18 
 61.06 
 61.95 
 
 .10 
 
 26.07 
 26.54 
 27.01 
 
 27.47 
 27.94 
 
 28 Deg. 
 
 Lat. Dep. 
 
 45.03 
 45.91 
 46.80 
 47-68 
 
 48.56 
 
 49.45 
 5o.33 
 
 5l.2I 
 
 52.09 
 
 52.98 
 
 53.86 
 
 54.74 
 55.63 
 56. 5i 
 57.39 
 
 58.27 
 59.16 
 60. o4 
 60.92 
 61.81 
 
 62.69 
 63.57 
 64.46 
 65.34 
 66.22 
 
 23.94 
 24.41 
 24.88 
 25.35 
 25.82 
 
 28.64 
 29.1 1 
 29.58 
 3o.o5 
 3o.52 
 
 35.39 
 35.85 
 36.32 
 36.78 
 37.25 
 
 79.83 4i.56 
 
 42.02 
 
 42.48 
 42.94 
 43.40 
 43.87 
 
 Dep. 
 
 Lat. 
 
 85.15 
 86.04 
 86.93 
 87.81 
 88.70 
 
 Dep. 
 
 35.21 
 
 Lat. Dep, 
 
 24.14 
 24.61 
 25.09 
 25.56 
 26.03 
 
 44.33 
 
 44.79 
 45.25 
 45.71 
 46.17 
 
 Lat. 
 
 Des. 
 
 621^ Deff. 
 
 71.68 
 72.57 
 73.45 
 74.34 
 75.22 
 
 76.11 
 76.99 
 77.88 
 78.76 
 79.65 
 
 42.37 
 42.84 
 43. 3o 
 
 43.77 
 44.23 
 
 84.96 44.70 
 45.161 
 45.63| 
 46.10 
 46.56 
 
 Lat. 
 
 85.84 
 86.73 
 87.61 
 88.5o 
 
 Dep. 
 
 71.52 
 72.40 
 73.28 
 
 74.17 
 75.05 
 
 75.93 
 76.82 
 77.70 
 78.58 
 79-47 
 
 62% Deg. 
 
 Dep. 
 
 40.37 
 
 4o.84l 
 4i.3i 
 
 41.78 
 
 42.25 
 
 42.72 
 
 43.19 
 43.66 
 44.13 
 44.60 
 
 45.07 
 45.54 
 46.01 
 46.48 
 46.95 
 
 44.93 
 45.81 
 46.69 
 
 47.57 
 48.45 
 
 49.33 
 5o.2i 
 51.09 
 
 5 '-97 
 52.85 
 
 53.73 
 54.62 
 55. 5o 
 56.38 
 57.26 
 
 58.14 
 59.02 
 59.90 
 60.78 
 61.66 
 
 62.54 
 63.42 
 64. 3o 
 65.19 
 66.07 
 
 66.95 
 67.83 
 68.71 
 69.59 
 70.47 
 
 71.35 
 72.23 
 73.11 
 73.99 
 
 74.88 
 
 75.76 
 76.64 
 77.52 
 78.40 
 79.28 
 
 283^ Deg. 
 
 26. 5i 
 26.98 
 27.45 
 27.93 
 28.40 
 
 Lat. I 
 
 44.82! 
 45.70 
 
 46.58 
 47-46 
 48.33 
 
 49.21 
 50.09 
 50.97 
 5 1. 85 
 52.73 
 
 53.61 
 
 54.49 
 55.37 
 56.24 
 57.12 
 
 58.00 
 58.88 
 59.76 
 60.64 
 61.52 
 
 60 
 
 70 
 
 40.71 
 4i.i8 
 41.65 
 42. i3 
 42.60 
 
 Lat. 
 
 82.80 
 83.68 
 
 84.57 
 85.45 
 86.33 
 87.21 
 88.09 
 
 Dep. 
 
 45.44 
 45.91 
 46.39 
 46.86 
 47^33 
 
 "Lat. 
 
 62 Deg. 
 
 61% Deg. 
 
 66.79 
 67.67 
 68.55 
 69.43 
 70.31 
 
 71.18 
 72.06 
 72.94 
 73.82 
 
 74.70 
 
 75.58 
 76.46 
 77.34 
 78.21 
 
 79-09 
 
 79-97 
 80.85 
 81.73 
 82.61 
 83.49 
 
 84.37 
 85.25 
 86.12 
 87.00 
 87. 
 
 33.88 
 34.36 
 34.83 
 35.3i 
 35.79 
 
 36.26 
 36.74 
 37.22 
 
 37.70 
 38.17 
 
 38.65 
 39.13 
 39.60 
 40.08 
 4o.56 
 
 4i.o4 
 4i.5i 
 
 41.99 
 42.47 
 42.94 
 
 43.42 
 43.90 
 44.38 
 44.85 
 45.33 
 
 45.81 
 46.28 
 46.76 
 47.24 
 47-72 
 
 Dep. I Lat 
 
 61K Deg. 
 
 90 
 
174 
 
 Traverse Table. 
 
 5 
 s 
 
 S 
 
 a 
 a 
 
 I 
 
 28% Deg. 
 
 29 Deg. 
 
 29% Deg. 
 
 29>i Deg. 
 
 29% Deg. 
 
 30 Deg. 
 
 g 
 
 » 
 
 a 
 a 
 
 Q 
 I 
 
 I, at. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 1 Dep. 
 
 l>at. 
 
 Dep. 
 
 0.88 
 
 0.48 
 
 0.87 
 
 0.48 
 
 0.87 
 
 0.49 
 
 0.87 
 
 0.49 
 
 0.87 
 
 o.5o 
 
 0.87 
 
 o.5o 
 
 2 
 
 1.75 
 
 0.96 
 
 1.75 
 
 0.97 
 
 1.74 
 
 0.98 
 
 1.74 
 
 0.98 
 
 1.74 
 
 0.99 
 
 1.73 
 
 1.00 
 
 
 
 3 
 
 2.63 
 
 1.44 
 
 2.62 
 
 1.45 
 
 2.62 
 
 1.47 
 
 2.61 
 
 1.48 
 
 2.60 
 
 1.49 
 
 2.60 
 
 i.5o 
 
 3 
 
 4 
 
 3.5i 
 
 1.92 
 
 3.5o 
 
 1.94 
 
 3.49 
 
 1.95 
 
 3.48 
 
 1.97 
 
 3.47 
 
 1.98 
 
 3.46 
 
 2.00 
 
 4 
 
 5 
 
 4.38 
 
 2.4o 
 
 4.37 
 
 2.42 
 
 4.36 
 
 2.44 
 
 4.35 
 
 2.46 
 
 4.34 
 
 2.48 
 
 4.33 
 
 2.5o 
 
 5 
 
 6 
 
 5.26 
 
 2.89 
 
 5.25 
 
 2.91 
 
 5.23 
 
 2.93 
 
 5.22 
 
 2.95 
 
 5.21 
 
 2.98 
 
 5.20 
 
 3.00 
 
 6 
 
 7 
 8 
 
 6.i4 
 
 3.37 
 
 6.12 
 
 3.39 
 
 6. II 
 
 3.42 
 
 6.09 
 
 3.45 
 
 6.08 
 
 3.47 
 
 6.06 
 
 3.5o 
 
 7 
 
 7.01 
 
 3.85 
 
 7.00 
 
 3.88 
 
 6.98 
 
 3.91 
 
 6.96 
 
 3.94 
 
 6.95 
 
 3.97 
 
 6.93 
 
 4.00 
 
 8 
 
 9 
 
 7.89 
 
 4.33 
 
 7.87 
 
 4.36 
 
 7.85 
 
 4.4o 
 
 7.83 
 
 4.43 
 
 7.81 
 
 4.47 
 
 7.79 
 
 4.5o 
 
 9 
 
 7 
 
 10 
 
 8.77 
 
 4.81 
 
 8.75 
 
 4.85 
 
 8.72 
 
 4.89 
 
 8.70 
 
 4.92 
 
 8.68 
 
 4.96 
 
 8.66 
 
 5.00 
 
 10 
 
 II 
 
 9-64 
 
 5.29 
 
 9.62 
 
 5.33 
 
 9.60 
 
 5.37 
 
 9.57 
 
 5.42 
 
 9.55 
 
 5.46 
 
 9.53 
 
 5.5o 
 
 II 
 
 12 
 
 10.52 
 
 5.77 
 
 10. 5o 
 
 5.82 
 
 10.47 
 
 5.86 
 
 10.44 
 
 5.91 
 
 10.42 
 
 5.95 
 
 10.39 
 
 6.00 
 
 12 
 
 i3 
 
 I i.4o 
 
 6.25 
 
 11.37 
 
 6.3o 
 
 11.34 
 
 6.35 
 
 II. 3i 
 
 6.40 
 
 11.29 
 
 6.45 
 
 1 1.26 
 
 6.5o 
 
 i3 
 
 i4 
 
 12.27 
 
 6.73 
 
 12.24 
 
 6.79 
 
 12.21 
 
 6.84 
 
 12.18 
 
 6.89 
 
 12. i5 
 
 6.95 
 
 12.12 
 
 7.00 
 
 i4 
 
 i5 
 
 i3.i5 
 
 7.21 
 
 l3.I2 
 
 7.27 
 
 i3.o9 
 
 7.33 
 
 1 3.06 
 
 7.39 
 
 1 3.02 
 
 7.44 
 
 12.99 
 
 7.5o 
 
 i5 
 
 i6 
 
 i4.o3 
 
 7.70 
 
 13.99 
 
 7.76 
 
 13.96 
 
 7.82 
 
 13.93 
 
 7.88 
 
 13.89 
 
 794 
 
 i3.86 
 
 800 
 
 16 
 
 '7 
 
 14.90 
 
 8.i8 
 
 14.87 
 
 8.24 
 
 i4.83 
 
 8.3i 
 
 14.80 
 
 8.37 
 
 14.76 
 
 8.44 
 
 14.72 
 
 8.5o 
 
 17 
 
 i8 
 
 15.78 
 
 8.66 
 
 15.74 
 
 8.73 
 
 15.70 
 
 8.80 
 
 15.67 
 
 8.86 
 
 i5.63 
 
 8.93 
 
 15.59 
 
 9.00 
 
 18 
 
 19 
 
 16.66 
 
 9.14 
 
 16.62 
 
 9.21 
 
 16.58 
 
 9.28 
 
 16.54 
 
 9.36 
 
 16. 5o 
 
 9.43 
 
 16.45 
 
 9.5o 
 
 19 
 
 20 
 
 17.53 
 
 9.62 
 
 17.49 
 
 9.70 
 
 17.45 
 
 9-77 
 
 17.41 
 
 9.85 
 
 17.36 
 
 9.92 
 
 17.32 
 
 10.00 
 
 20 
 
 21 
 
 18.41 
 
 10.10 
 
 18.37 
 
 lo.iS 
 
 18.32 
 
 10.26 
 
 18.28 
 
 10.34 
 
 18.23 
 
 10.42 
 
 18.19 
 
 10. 5o 
 
 21 
 
 22 
 
 19.29 
 
 10. 58 
 
 19.24 
 
 10.67 
 
 19.19 
 
 10.75 
 
 19.15 
 
 I0.83 
 
 19.10 
 
 10.92 
 
 19.05 
 
 1 1.00 
 
 22 
 
 23 
 
 20.16 
 
 11.06 
 
 20.12 
 
 I i.i5 
 
 20.07 11.24 
 
 20.02 
 
 11.33 
 
 19.97 
 
 1 1. 4 1 
 
 19.92 
 
 I i.5o 
 
 23 
 
 24 
 
 2I.o4 
 
 11.54 
 
 20.99 
 
 11.64 
 
 20.94 
 
 11.73 
 
 20.89 
 
 11.82 
 
 20.84 
 
 II. 91 
 
 20.78 
 
 12.00 
 
 24 
 
 25 
 
 21.92 
 
 12.02 
 
 21.87 
 
 12.12 
 
 21.81 
 
 12.22 
 
 21.76 
 
 I2.3l 
 
 21.70 
 
 12.41 
 
 21.65 
 
 12. 5o 
 
 25 
 
 26 
 
 22.79 
 
 12. 5i 
 
 22.74 
 
 12.60 
 
 22.68 
 
 12.70 
 
 22.63 
 
 12.80 
 
 22.57 
 
 12.90 
 
 22.52 
 
 1 3.00 
 
 26 
 
 27 
 
 23.67 
 
 12.99 
 
 23.61 
 
 13.09 
 
 23.56 
 
 13.19 
 
 23. 5o 
 
 i3.3o 
 
 23.44 
 
 i3.4o 
 
 23.38 
 
 i3.5o 
 
 27 
 
 28 
 
 24.55 
 
 13.47 
 
 24.49 
 
 13.57 
 
 24.43 
 
 i3.68 
 
 24.37 
 
 13.79 
 
 24. 3i 
 
 13.89 
 
 24.25 
 
 14.00 
 
 28 
 
 29 
 
 25.43 
 
 13.95 
 
 25.36 
 
 i4.o6 
 
 25. 3o 
 
 14.17 
 
 25.24 
 
 14.28 
 
 25.18 
 
 14.39 
 
 25.11 
 
 i4.5o 
 
 29 
 
 3o 
 
 26.30 
 
 14.43 
 
 26.24 
 
 14.54 
 
 26.17 
 
 14.66 
 
 26.11 
 
 14.77 
 
 26.05 
 
 14.89 
 
 25.98 
 
 i5.oo 
 
 3o 
 
 3i 
 
 27.18 
 
 14.91 
 
 27.1 1 
 
 i5.o3 
 
 27.05 
 
 i5.i5 
 
 26.98 
 
 15.27 
 
 26.91 
 
 i5.38 
 
 26.85 
 
 i5.5c) 
 
 3i 
 
 32 
 
 28.06 
 
 15.39 
 
 27.99 
 
 i5.5i 
 
 27.92 
 
 i5.64 
 
 27.85 
 
 15.76 
 
 27.78 
 
 i5.88 
 
 27.71 
 
 16. oc 
 
 32 
 
 33 
 
 28.93 
 
 15.87 
 
 28.86 
 
 16.00 
 
 28.79 
 
 16.12 
 
 28.72 
 
 16.25 
 
 28.65 
 
 16.38 
 
 28.58 
 
 16. 5o 
 
 33 
 
 34 
 
 29.81 
 
 t6.35 
 
 29.74 
 
 16.48 
 
 29.66 
 
 16.61 
 
 29.59 
 
 16.74 
 
 29.52 
 
 16.87 
 
 29.44 
 
 17.00 
 
 34 
 
 35 
 
 30.69 
 
 i6.83 
 
 3o.6i 
 
 16.97 
 
 3o.54 
 
 17.10 
 
 30.46 
 
 17.23 
 
 30.39 
 
 17.37 
 
 3o.3i 
 
 17.50 
 
 35 
 
 36 
 
 31.56 
 
 17.32 
 
 3 1. 49 
 
 17.45 
 
 3i.4i 
 
 17.59 
 
 31.33 
 
 17.73 
 
 31.26 
 
 17.86 
 
 3i.i8 
 
 18.00 
 
 36 
 
 37 
 
 32.44 
 
 17.80 
 
 32.36 
 
 17.94 
 
 32.28 
 
 18.08 
 
 32.20 
 
 l8.22 
 
 32.12 
 
 18. 36 
 
 32. o4 
 
 18. 5o 
 
 37 
 
 38 
 
 33.32 
 
 18.28] 
 
 33.24 
 
 18.42 
 
 33. i5 
 
 18.57 
 
 33.07 
 
 18.71 
 
 32.99 
 
 18.86 
 
 32.91 
 
 19.00 
 
 38 
 
 39 
 
 34.19 
 
 18.76; 
 
 34.11 
 
 18.91 
 
 34.03 
 
 19.06 
 
 33.94 
 
 19.20 
 
 33.86 
 
 19.35 
 
 33.77 
 
 19.50 
 
 39 
 
 4o 
 
 35.07 
 
 19.24 
 
 34.98 
 
 19.39 
 
 34.90 
 
 19.54 
 
 34.81 
 
 19.70 
 
 34.73 
 
 19.85 
 
 34.64 
 
 20.00 
 
 4o 
 
 4i 
 
 35.95 
 
 19.72 
 
 35.86 
 
 19.88 
 
 35.77 
 
 20. o3 
 
 35.68 
 
 20.19 
 
 35.60 
 
 20.34 
 
 35. 5i 
 
 20. 5o 
 
 4i 
 
 42 
 
 36.82 
 
 20.20 
 
 36.73 
 
 20. 36 
 
 36.64 
 
 20.52 
 
 36.55 
 
 20.68 
 
 36.46 
 
 20.84 
 
 36.37 
 
 21.00 
 
 42 
 
 43 
 
 37.70 
 
 20.68 
 
 37.61 
 
 20.85 
 
 37.52 
 
 21.01 
 
 37.43 
 
 21.17 
 
 37.33 
 
 21.34 
 
 37.24 
 
 21. 5o 
 
 43 
 
 44 
 
 38.58 
 
 21.16 
 
 38.48 
 
 21.33 
 
 38.39 
 
 21. 5o 
 
 38. 3o 
 
 21.67 
 
 38. 20 
 
 21.83 
 
 38.11 
 
 22.00 
 
 44 
 
 45 
 
 39.45 
 
 21.64 
 
 39.36 
 
 21.82 
 
 39.26 
 
 21.99 
 
 39.17 
 
 22.16 
 
 39.07 
 
 22.33 
 
 38.97 
 
 22. 5o 
 
 45 
 
 46 
 
 40.33 
 
 22. i3 
 
 4o.23 
 
 22. 3o 
 
 4o.i3 
 
 22.48 
 
 4o.o4 
 
 22.65 
 
 39.94 
 
 22.83 
 
 39.84 
 
 23.00 
 
 46 
 
 47 
 
 4 1. 2 1 
 
 22.61 
 
 4i.i I 
 
 22.79 
 
 4i.oi 
 
 22.97 
 
 40.91 
 
 23.14 
 
 4o.8i 
 
 23.32 
 
 40.70 
 
 23. 5o 
 
 47 
 
 48 
 
 42.08 
 
 23.09 
 
 41.98 
 
 23.27 
 
 4i.88 
 
 23.45 
 
 41.78 
 
 23.63 
 
 41.67 
 
 23.82 
 
 41.57 
 
 24.00 
 
 48 
 
 49 
 
 42.96 
 
 23.57 
 
 42.86 
 
 23.76 
 
 42.75 
 
 23.94 
 
 42.65 
 
 24. i3 
 
 42.54 
 
 24. 3i 
 
 42.44 
 
 24. 5o 
 
 49 
 
 5o 
 
 43.84 
 
 24. o5 
 
 43.73 
 
 24.24 
 
 43.62 
 
 24.43 
 
 43.52 
 
 24.62 
 
 43.41 
 
 24.81 
 
 43.3o 
 
 25.00 
 
 5o 
 
 g 
 1 
 
 CO 
 
 
 
 □ 
 
 m 
 Q 
 
 nep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 1 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 1 Lat. 
 
 61% Deg. 
 
 611 
 
 )eg. 
 
 Q0% Deg. 
 
 601^ Deg. 
 
 60% Deg. 
 
 60 Deg. 
 
Traverse Table. 
 
 175 
 
 a 
 1 
 i 
 
 28% Deg. 
 
 29 Deg. 
 
 291^ Deg. 
 
 29M Deg. 
 
 29% Deg. 
 
 i 
 
 30 Deg. 
 
 g 
 5i 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 1 Dep. 
 
 Lat. 
 
 Dep. 
 
 25.11 
 
 Lat. 
 
 44.28 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 25. 5o 
 
 5i 
 
 44.71 
 
 24.53 
 
 44.61 
 
 24.73 
 
 44. 5o 24.92 
 
 44.39 
 
 25. 3i 
 
 44.17 
 
 52 
 
 45.59 
 
 25. 01 
 
 45.48 
 
 25.21 
 
 45.3725.41 
 
 45.26 
 
 25.61 
 
 45.15 
 
 25.80 
 
 45.o3 
 
 26.00 
 
 52 
 
 53 
 
 46.47 
 
 25.49 
 
 46.35 
 
 25.69 
 
 46 24 25.90 
 
 46.13 
 
 26.10 
 
 46.01 
 
 26. 3o 
 
 45.90 
 
 26.50 
 
 53 
 
 54 
 
 47-34 
 
 25.97 
 
 47.23 
 
 26.18 
 
 47.11 26.39 
 
 47.00 
 
 26.59 
 
 46.88 
 
 26.80 
 
 46.77 
 
 27.00 
 
 54 
 
 55 
 
 48.22 
 
 26.45 
 
 48.10 
 
 26.66 
 
 47.99 26 87 
 
 47.87 
 
 27.08 
 
 47.75 
 
 27.29 
 
 47.63 
 
 27.50 
 
 55 
 
 56 
 
 49.10 
 
 26.94 
 
 48.98 
 
 27.15 
 
 48.86 27.36 
 
 48.74 
 
 27.58 
 
 48.62 
 
 27.79 
 
 48.5o 
 
 28.00 
 
 56 
 
 5? 
 
 49.97 
 
 27.42 
 
 49.85 
 
 27.63 
 
 49.73 27.85 
 
 49.61 
 
 28.07 
 
 49.49 
 
 28.28 
 
 49-36 
 
 28.50 
 
 57 
 
 58 
 
 5o.85 
 
 27.90I 
 
 50.73 
 
 28.12 
 
 5o.6o 28.34 
 
 5o.48 
 
 28.56 
 
 5o.36 
 
 28.78 
 
 5o.23 
 
 29.00 
 
 58 
 
 59 
 
 51.73 
 
 28.38 
 
 5i.6o 
 
 28.60 
 
 5i.48 28.83 
 
 5i.35 
 
 29.05 
 
 5l.22 
 
 29.28 
 
 5i.io 
 
 29.50 
 
 59 
 
 6o 
 
 52.60 
 
 28.86 
 
 52.48 
 
 29.09 
 
 52.35 29.32 
 
 52.22 
 
 29.55 
 
 52.09 
 
 29.77 
 
 51.96 
 
 3o.oo 
 
 60 
 
 6i 
 
 53.48 
 
 29.34 
 
 53.35 
 
 29.57 
 
 53.22 29.81 
 
 53,09 
 
 3o.o4 
 
 52.96 
 
 30.27 
 
 52.83 
 
 3o.5o 
 
 61 
 
 62 
 
 54.36 
 
 29.82 
 
 54.23 
 
 3o.o6 
 
 54.09 30.29 
 
 53.96 
 
 3o.53 
 
 53.83 
 
 30.77 
 
 53.69 
 
 3 1,00 
 
 62 
 
 63 
 
 55.23 
 
 3o.3o 
 
 55. lo 
 
 30.54' 
 
 54.97 30.78 
 
 54.83 
 
 3l.02 
 
 54.70 
 
 31.26 
 
 54.56 
 
 3i.5o 
 
 63 
 
 64 
 
 56.11 
 
 30.78 
 
 55.98 
 
 3i.o3 
 
 55.84 31.27 
 
 55,70 
 
 31.52 
 
 55.56 
 
 31.76 
 
 55.43 
 
 32. 00 
 
 64 
 
 65 
 
 56.99 
 
 31.26 
 
 56.85 
 
 3i.5i 
 
 56.71 
 
 31.76 
 
 56.57 
 
 32,OI 
 
 56.43 
 
 32.25 
 
 56.29 
 
 32, 5o 
 
 65 
 
 66 
 
 57.86 
 
 31.75 
 
 57.72 
 
 32.00 
 
 57.58 
 
 32.25 
 
 57-44 
 
 32. 5o 
 
 57.30 
 
 32.75 
 
 57.16 
 
 33.00 
 
 66 
 
 67 
 
 58.74 
 
 32.23 
 
 58. 60 
 
 32.48| 
 
 58.46 
 
 32.74 
 
 58.31 
 
 32.99 
 
 58.17 
 
 33.25 
 
 58.02 
 
 33.5o 
 
 67 
 
 68 
 
 59.62 
 
 32.71 
 
 59.47 
 
 32.97, 59.33 
 
 33.23 
 
 59.18 
 
 33.48 
 
 59.04 
 
 33.74 
 
 58.89 
 
 34.00 
 
 68 
 
 69 
 
 60.49 
 
 33.19 
 
 60.35 
 
 33.45 60.20 
 
 33.71 
 
 6o.o5 
 
 33.98 
 
 59.91 
 
 34.24 
 
 59.76 
 
 34.5o 
 
 69 
 
 70 
 
 61.37 
 
 33.67 
 
 61.22 
 
 33.94' 
 
 61.07 
 
 34.20 
 
 60.92 
 
 34.47 
 
 60.77 
 
 34.74 
 
 60.62 
 
 35.00 
 
 70 
 
 71 
 
 62.25 
 
 34. i5 
 
 62.10 
 
 34.42 
 
 61.95 
 
 34.69 
 
 61,80 
 
 34.96 
 
 61.64 
 
 35.23 
 
 61.49 
 
 35.5o 
 
 71 
 
 72 
 
 63.12 
 
 34.63 
 
 62.97 
 
 34.91 
 
 62.82 
 
 35.18 
 
 62.67 
 
 35.45 
 
 62.51 
 
 35.73 
 
 62.35 
 
 36. 00 
 
 72 
 
 73 
 
 64.00 
 
 35.11 
 
 63.85 
 
 35.39 
 
 63.69 
 
 35.67 
 
 63.54 
 
 35.95 
 
 63.38 
 
 36.22 
 
 63.22 
 
 36.5o 
 
 73 
 
 74 
 
 64.88 
 
 35.59 
 
 64.72 
 
 35.88 
 
 64-56 
 
 36.16 
 
 64.41 
 
 36.44 
 
 64.25 
 
 36.72 
 
 64.09 
 
 37.00 
 
 74 
 
 75 
 
 65.75 
 
 36.07 
 
 65. 60 
 
 36.36 
 
 65.44 
 
 36.65 
 
 65.28 
 
 36.93 
 
 65.11 
 
 37.22 
 
 64.95 
 
 37.50 
 
 75 
 
 76 
 
 66.63 
 
 36.56 
 
 66.47 
 
 36.85 
 
 66.3i 
 
 37.14 
 
 66.i5 
 
 37.42 
 
 65.98 
 
 37.71 
 
 65.82 
 
 38.00 
 
 76 
 
 77 
 
 67.51 
 
 37.04 
 
 67.35 
 
 37.33 167.18 
 
 37.62 
 
 67.02 
 
 37.92 
 
 66.85 
 
 38.21 
 
 66.68 
 
 38.5o 
 
 77 
 
 78 
 
 68.38 
 
 37.52 
 
 68.22 
 
 37.82 
 
 68. o5 
 
 38.11 
 
 67.89 
 
 38.41 
 
 67.72 
 
 38.70 
 
 67.55 
 
 39.00 
 
 78 
 
 79 
 
 69.26 
 
 38. 00 
 
 69.09 
 
 38. 3o 
 
 68.93 
 
 38.6o 
 
 68.76 
 
 38.90 
 
 68.59 
 
 39.20 
 
 68.42 
 
 39.50 
 
 79 
 
 80 
 
 70.14 
 
 38.48 
 
 69.97 
 
 38.78 
 
 69.80 
 
 39,09 
 
 69,63 
 
 39.39 
 
 69.46 
 
 39.70 
 
 69.28 
 
 4o,oo 
 
 80 
 
 8i 
 
 71.01 
 
 38.96 
 
 70.84 
 
 39.27 
 
 70,67 
 
 39.58 
 
 70. 5o 
 
 39.89 
 
 70.32 
 
 40.19 
 
 70.15 
 
 4o.5o 
 
 81 
 
 82 
 
 71.89 
 
 39.44 
 
 71.72 
 
 39.75 
 
 71.54 
 
 40.07 
 
 71.37 
 
 40.38 
 
 71.19 
 
 40.69 
 
 71.01 
 
 4i.oo 
 
 82 
 
 83 
 
 72.77 
 
 39.92 
 
 72.59 
 
 40.24 
 
 72.42 
 
 4o.56| 
 
 72.24 
 
 40.87 
 
 72.06 
 
 41.19 
 
 71.88 
 
 4i.5o 
 
 83 
 
 84 
 
 73.64 
 
 4o.4o 
 
 73.47 
 
 40.72 
 
 73.29 
 
 4i.o4' 
 
 73.11 
 
 4i.36 
 
 72.93 
 
 41.68 
 
 72.75 
 
 42.00 
 
 84 
 
 85 
 
 74.52 
 
 40.88 
 
 74.34 
 
 4l.21 
 
 74.16 
 
 41.53 
 
 73.98 
 
 41.86 
 
 73.80 
 
 42.18 
 
 73.61 
 
 42. 5o 
 
 85 
 
 86 
 
 75.40 
 
 41.36 
 
 75.22 
 
 41.69 
 
 75.03 
 
 42.02 
 
 74.85 
 
 42.35 
 
 74.67 
 
 42.67 
 
 74.48 
 
 43.00 
 
 86 
 
 S7 
 
 76.28 
 
 41.85 
 
 76.09 
 
 42.18 
 
 75.91 
 
 42. 5i 
 
 75.72 
 
 42.84 
 
 75.53 
 
 43.17 
 
 75.34 
 
 43. 5o 
 
 87 
 
 88 
 
 77.15 
 
 42.33 
 
 76.97 
 
 42.66 
 
 76.78 
 
 43.00 
 
 76.59 
 
 43.33 
 
 76.40 
 
 43.67 
 
 76.21 
 
 44.00 
 
 88 
 
 89 
 
 78.03 
 
 42.81 
 
 77-84 
 
 43. i5 
 
 77-65 
 
 43.49' 
 
 77-46 
 
 43.83 
 
 77.27 
 
 44.16 
 
 77.08 
 
 44.5o 
 
 89 
 
 90 
 
 78.91 
 
 43.29 
 
 78.72 
 
 43.63 
 
 78.52 
 
 43.98 
 
 78.33 
 
 44.32 
 
 78.14 
 
 44.66 
 
 77-94 
 
 45,00 
 
 90 
 
 91 
 
 79 78 
 
 43.77 
 
 79.59 
 
 44.12 
 
 79-4o 
 
 44.46 
 
 79.20 
 
 44.81 
 
 79.01 
 
 45.16 
 
 78.81 
 
 45.5o 
 
 91 
 
 92 
 
 80.66 
 
 44.25 
 
 80.46 
 
 44.60 
 
 80,27 
 
 44.951 
 
 80.07 
 
 45.3o 
 
 79.87 
 
 45.65 
 
 79.67 
 
 46.00 
 
 92 
 
 93 
 
 81.54 
 
 44.73 
 
 81.34 
 
 45.09 
 
 81, i4 
 
 45.44 
 
 80.94 
 
 45.80 
 
 80.74 
 
 46.i5 
 
 80.54 
 
 46.5o 
 
 93 
 
 94 
 
 82.41 
 
 45.21 
 
 82.21 
 
 45.57 
 
 82.01 
 
 45.93: 
 
 81.81 
 
 46.29 
 
 81.61 
 
 46.64 
 
 81.41 
 
 47.00 
 
 94 
 
 95 
 
 83,29 
 
 45.69 
 
 83.09 
 
 46.06 
 
 82.89 
 
 46.42 
 
 82.68 
 
 46.78 
 
 82.48 
 
 47.14 
 
 82.27 
 
 47.50 
 
 95 
 
 96 
 
 84.17 
 
 46.17 
 
 83.96 
 
 46.54 
 
 83.76 
 
 46.91J 
 
 83.55 
 
 47-27 
 
 83.35 
 
 47-64 
 
 83.14 
 
 48,00 
 
 96 
 
 97 
 
 85.04 
 
 46.66 
 
 84.84 
 
 47.03 
 
 84.63 
 
 47.40 
 
 84.42 47.77I 
 
 84.22 
 
 48. 1 3 
 
 84.00 
 
 48.5o 
 
 97 
 
 98 
 
 85.92 
 
 47.14 
 
 85.71 
 
 47.51 
 
 85. 5o 
 
 47.88: 
 
 85.29 48.26I 
 
 85.08 
 
 48.63 
 
 84.87 
 
 49.00 
 
 98 
 
 99 
 
 86.80 
 
 47.62 
 
 86.59 
 
 48.00 
 
 86.38 
 
 48.371 
 
 86.17 
 
 48.75; 
 
 85.95 
 
 49.13 
 
 85.74 
 
 49.50 
 
 99 
 
 100 
 
 d 
 
 a 
 a 
 m 
 
 Q 
 
 87.67 
 
 48.10 
 
 87.46 
 
 48.48 
 
 87.25 
 
 48.86 
 
 87.04 49.24 
 
 86.82 
 
 49.62 
 
 86.60 
 
 5o.oo 
 
 100 
 
 Dep. 1 Lat. 
 
 Dep. 
 
 i^t. 
 
 Dep. 
 
 Lat. 
 
 Dep. 1 Lat. 
 
 Dej). 
 
 Lat. 1 
 
 Dep 1 
 
 lAt 
 
 8 
 
 1 
 
 1 
 
 61% Beg. 
 
 61 Deg. 
 
 60% Deg. 
 
 60M Deg. 
 
 60K Deg. 
 
 60 Deg. 
 
irn 
 
 
 
 
 T 
 
 B A V 
 
 ERSE T 
 
 ABLE. 
 
 
 
 
 
 o 
 s 
 
 3 
 
 s 
 
 I 
 
 SOyi Deg. 
 
 301^ 
 
 Dog. 
 
 30% Deg. 
 
 31 Deg. 
 
 3134 Deg. 
 
 31M Deg. 
 
 g 
 
 D 
 
 9 
 
 lAt. 
 
 Uep. 
 
 Lai. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 0.86 
 
 o.5o 
 
 0.86 
 
 o.5i 
 
 0.86 
 
 o.5i 
 
 0.86 
 
 o.5i 
 
 0.85 
 
 0.52 
 
 0.85 
 
 0.52 
 
 1 
 
 2 
 
 1.73 
 2.59 
 3.46 
 
 1 .01 
 
 1.72 
 
 1.02 
 
 1.72 
 
 1.02 
 
 1.71 
 
 i.o3 
 
 1. 71 
 
 i.o4 
 
 1.71 
 
 i.o4 
 
 2 
 
 3 
 
 i.5i 
 
 2.58 
 
 1.52 
 
 2.58 
 
 1.53 
 
 2.57 
 
 1.55 
 
 2.56 
 
 1.56 
 
 2.56 
 
 1.57 
 
 3 
 
 4 
 
 2.02 
 
 3.45 
 
 2.o3 
 
 3.44 
 
 2.o5 
 
 3.43 
 
 2.06 
 
 3.42 
 
 2.08 
 
 3.4i 
 
 2.09 
 
 4 
 
 5 
 
 4.32 
 
 2.52 
 
 4.3i 
 
 2.54 
 
 4.3o 
 
 2.56 
 
 4.29 
 
 2.58 
 
 4.27 
 
 2.59 
 
 4.26 
 
 2.61 
 
 5 
 
 6 
 
 5.18 
 
 3.02 
 
 5.17 
 
 3.o5 
 
 5.16 
 
 3.07 
 
 5.i4 
 
 3.09 
 
 5.i3 
 
 3. II 
 
 5.12 
 
 3.i3 
 
 6 
 
 7 
 8 
 
 6.o5 
 
 3.53 
 
 6.o3 
 
 3.55| 
 
 6.02 
 
 3.58 
 
 6.00 
 
 3.61 
 
 5.98 
 
 3.63 
 
 5.97 
 
 3.66 
 
 7 
 
 6.91 
 
 7-77 
 
 4.o3 
 
 6.89 
 
 4.06 
 
 6.88 
 
 4.09 
 
 6.86 
 
 4.12 
 
 6.84 
 
 4.i5 
 
 6.82 
 
 4.18 
 
 8 
 
 9 
 
 lO 
 
 4.53 
 
 7.75 
 
 4.57 
 
 7.73 
 
 4.60 
 
 7.71 
 
 ,4.64 
 
 7.69 
 
 4.67 
 
 7.67 
 
 4.70 
 
 9 
 
 8.64 
 
 5.o4 
 
 8.62 
 
 5.08 
 
 8.59 
 
 5. II 
 
 8.57 
 
 5.i5 
 
 8.55 
 
 5.19 
 
 8.53 
 
 5.22 
 
 10 
 
 II 
 
 9.5o 
 
 5.54 
 
 9.48 
 
 5.58 
 
 9.45 
 
 5.62 
 
 9.43 
 
 5.67 
 
 9.40 
 
 5.71 
 
 9.38 
 
 5.75 
 
 II 
 
 12 
 
 10.37 
 
 6.o5 
 
 10.34 
 
 6.09 
 
 10. 3i 
 
 6.14: 
 
 10.29 
 
 6.18 
 
 10.26 
 
 6.23 
 
 10. 23 
 
 6.27 
 
 12 
 
 i3 
 
 11.23 
 
 6.55 
 
 1 1.20 
 
 6.60 
 
 11.17 
 
 6.65 
 
 11. i4 
 
 6.70: 
 
 11.11 
 
 6.74 
 
 11.08 
 
 6.79 
 
 i3 
 
 i4 
 
 12.09 
 
 7.o5 
 
 12.06 
 
 7. II 
 
 12. o3 
 
 7.16 
 
 12.00 
 
 7.21 
 
 11.97 
 
 7.26 
 
 11.94 
 
 7.3i 
 
 i4 
 
 i5 
 
 12.96 
 
 7.56 
 
 12.92 
 
 7.6r 
 
 12.89 
 
 7.67 
 
 12.86 
 
 7.73 
 
 12.82 
 
 7.78 
 
 12.79 
 
 7.84 
 
 i5 
 
 i6 
 
 13.82 
 
 8.06 
 
 13.79 
 
 8.12I 
 
 13.75 
 
 8.18 
 
 13.71 
 
 8.24 
 
 i3.68 
 
 8.3o 
 
 1 3.64 
 
 8.36 
 
 16 
 
 17 
 
 14.69 
 
 8.56 
 
 i4.65 
 
 8.63 
 
 i4.6i 
 
 8.69 
 
 14.57 
 
 8.76 
 
 14.53 
 
 8.82 
 
 14.49 
 
 8.88 
 
 17 
 
 18 
 
 i5.55 
 
 9.07 
 
 i5.5i 
 
 9-i4t 
 
 15.47 
 
 9.20 
 
 i5.43 
 
 9.27 
 
 15.39 
 
 9.34 
 
 i5.35 
 
 9.40 
 
 18 
 
 19 
 
 16.41 
 
 9.57 
 
 16.37 
 
 9.64; 
 
 16.33 
 
 9.71 
 
 16.29 
 
 9-79 
 
 16.24 
 
 9.86 
 
 16.20 
 
 9.93 
 
 19 
 
 20 
 
 17.28 
 
 10.08 
 
 17.23 
 
 io.i5 
 
 17.19 
 
 10. 23 
 
 17.14 
 
 10. 3o 
 
 17.10 
 
 10. 38 
 
 17.05 
 
 10.45 
 
 20 
 
 21 
 
 18. i4 
 
 10. 58 
 
 18.09 
 
 10.66 
 
 i8.o5 
 
 10.74 
 
 18.00 
 
 10.82 
 
 17.95 
 
 10.89 
 
 17.91 
 
 10.97 
 
 21 
 
 22 
 
 19.00 
 
 11.08 
 
 18.96 
 
 II. 17 
 
 18.91 
 
 11.25 
 
 18.86 
 
 11.33 
 
 18.81 
 
 1 1. 4 1 
 
 18.76 
 
 11.49 
 
 22 
 
 23 
 
 19.87 
 
 11.59 
 
 19.82 
 
 11.67 
 
 19.77 
 
 11.76 
 
 19.71 
 
 11.85 
 
 19.66 
 
 1 1.93 
 
 19.61 
 
 12.02 
 
 23 
 
 24 
 
 20.73 
 
 12.00 
 
 20.68 
 
 12.18 
 
 20.63 
 
 12.27 
 
 20.57 
 
 12.36 
 
 20.52 
 
 12.45 
 
 20.46 
 
 12.54 
 
 24 
 
 25 
 
 21.60 
 
 12.59 
 
 21.54 
 
 12.69 
 
 21.49 
 
 12.78 
 
 21.43 
 
 12.88 
 
 21.37 
 
 12.97 
 
 21.32 
 
 i3.o6 
 
 25 
 
 26 
 
 22.46 
 
 i3.io 
 
 22.40 
 
 l3.20 
 
 22.34 
 
 13.29 
 
 22.29 
 
 13.39 
 
 22.23 
 
 i3.49 
 
 22.17 
 
 13.58 
 
 26 
 
 27 
 
 23.32 
 
 i3.6o 
 
 23.26 
 
 13.70 
 
 23.20 
 
 i3.8o 
 
 23.14 
 
 13.91 
 
 23.08 
 
 i4.o] 
 
 23.02 
 
 i4.li 
 
 27 
 
 28 
 
 24.19 
 
 i4.li 
 
 24.13 
 
 14.21 
 
 24.06 
 
 l4.32 
 
 24.00 
 
 14.42 
 
 23.94 
 
 14.53 
 
 23.87 
 
 i4.63 
 
 28 
 
 29 
 
 25.o5 
 
 14.61 
 
 24.99 
 
 14.72 
 
 24.92 
 
 i4.83 
 
 24.86 
 
 14.94 
 
 24.79 
 
 i5.o4 
 
 24.73 
 
 i5.i5 
 
 29 
 
 3o 
 
 25.92 
 
 i5.ii 
 
 25.85 
 
 i5.23 
 
 25.78 
 
 i5.34 
 
 25.71 
 
 i5.45 
 
 25.65 
 
 i5.56 
 
 25.58 
 
 15.67 
 
 3o 
 
 3i 
 
 26.78 
 
 15.62 
 
 26.71 
 
 15.73 
 
 26.64 
 
 i5.85 
 
 26.57 
 
 15.97 
 
 26.50 
 
 16.08 
 
 26.43 
 
 16.20 
 
 3i 
 
 32 
 
 27.64 
 
 16.12 
 
 27.57 
 
 16.24 
 
 27.50 
 
 i6.36 
 
 27.43 
 
 i6.4fe 
 
 27.36 
 
 16.60 
 
 27.28 
 
 16.72 
 
 32 
 
 33 
 
 28.5i 
 
 16.62 
 
 28.43 
 
 16.75 
 
 28.36 
 
 16.87 
 
 28.29 
 
 17.00 
 
 28.21 
 
 17.12 
 
 28.14 
 
 17.24 
 
 33 
 
 34 
 
 29.37 
 
 17.13 
 
 29.30 
 
 17.26 
 
 29.22 
 
 17.38 
 
 29.14 
 
 17.51 
 
 29.07 
 
 17.64 
 
 28.99 
 
 17.76 
 
 34 
 
 35 
 
 30.23 
 
 17.63 
 
 3o.i6 
 
 17.76 
 
 3o.o8 
 
 17.90 
 
 3o.oo 
 
 i8.o3 
 
 29.92 
 
 18.16 
 
 29.84 
 
 18.29 
 
 35 
 
 36 
 
 3i.io 
 
 18. i4 
 
 3l.02 
 
 18.27 
 
 30.94 
 
 i8.4i 
 
 30.86 
 
 18.54 
 
 30.78 
 
 18.68 
 
 30.70 
 
 18.81 
 
 36 
 
 37 
 
 31.96 
 32.83 
 
 18.64 
 
 3i.88 
 
 18.78 
 
 3i.8o 
 
 18.92 
 
 31.72 
 
 19.06 
 
 31.63 
 
 19.19 
 
 31.55 
 
 19.33 
 
 37 
 
 38 
 
 19.14 
 
 32.74 
 
 19.29 
 
 32.66 
 
 19.43 
 
 32.57 
 
 19.57 
 
 32.49 
 
 19.71 
 
 32. 4o 
 
 19.85 
 
 38 
 
 39 
 
 33.69 
 
 19.65 
 
 33.60 
 
 19.79 
 
 33.52 
 
 19.94 
 
 33.43 
 
 20.09 
 
 33.34 
 
 20.23 
 
 33.25 
 
 20. 38 
 
 39 
 
 4o 
 
 34.55 
 
 20.l5 
 
 34.47 
 
 20. 3o 
 
 34.38 
 
 20.45 
 
 34.29 
 
 20.60 
 
 34.20 
 
 20.75 
 
 34.11 
 
 20.90 
 
 4o 
 
 4i 
 
 35.42 
 
 20.65 
 
 35.33 
 
 20.81 
 
 35.24 
 
 20.96 
 
 35.14 
 
 21.12 
 
 35.o5 
 
 21.27 
 
 34.96 
 
 21.42 
 
 4i 
 
 42 
 
 36.28 
 
 21.16 
 
 36.19 
 
 21.32 
 
 36. 10 
 
 21.47 
 
 36.00 
 
 21.63 
 
 35.91 
 
 21.79 
 
 35.81 
 
 21.94 
 
 42 
 
 43 
 
 37.14 
 
 21.66 
 
 37.05 
 
 21.82 
 
 36.95 
 
 21.99 
 
 36.86 
 
 22. i5 
 
 36.76 
 
 22. 3l 
 
 ; 36.66 
 
 22.47 
 
 43 
 
 44 
 
 38.0I 
 
 22.17 
 
 37.91 
 
 22.33 
 
 37.81 
 
 22. 5o 
 
 37.72 
 
 22.66 
 
 37.62 
 
 22.83 
 
 37.52 
 
 22.99 
 
 44 
 
 45 
 
 38.87 
 
 22.67 
 
 38.77 
 
 22.84 
 
 38.67 
 
 23.01 
 
 38.57 
 
 23.18 
 
 38.47 
 
 23.34 
 
 38.37 
 
 23.5i 
 
 45 
 
 46 
 
 39.74 
 
 23.17 
 
 39.63 
 
 23.35 
 
 39.53 
 
 23.52 
 
 39.43 
 
 23.69 
 
 39.33 
 
 23.86 
 
 39.22 
 
 24. o3 
 
 46 
 
 47 
 
 4o.6o 
 
 23.68 
 
 4o.5o 
 
 23.85 
 
 40.39 
 
 24.03 
 
 40.29 
 
 24.21 
 
 40.18 
 
 24.38 
 
 40.07 
 
 24.56 
 
 47 
 
 48 
 
 41.46 
 
 24.18 
 
 41.36 
 
 24.36 
 
 41.25 
 
 24.54 
 
 4i.i4 
 
 24.72 
 
 4i.o4 
 
 24.90 
 
 40.93 
 
 25.08 
 
 48 
 
 49 
 
 42.33 
 
 24.68 
 
 42.22 
 
 24.87 
 
 42.1 1 
 
 25.o5 
 
 42.00 
 
 25.24 
 
 41.89 
 
 25.42 
 
 41.78 
 
 25.60 
 
 49 
 
 5o 
 
 8 
 1 
 
 CO 
 
 Q 
 
 43.19 
 
 25.19 
 
 43.08 
 
 25.38 
 
 42.97 
 
 25.56 
 
 42.86 
 
 25.75 
 
 42.75 
 
 25.94 
 
 42.63 
 
 26.12 
 
 5o 
 
 Dep. 
 
 59% 
 
 Lat 
 
 Deg. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 S 
 
 a 
 a 
 w 
 
 a 
 
 591^ Deg. 
 
 59% 
 
 Deg. 
 
 59 Deg. 
 
 58% 
 
 Deg. 
 
 581^ Deg. 
 
Tkavekse Table. 
 
 17Y 
 
 5 
 
 5" 
 
 a 
 
 30K Deg. 
 
 301^ Deg. 
 
 30X Deg. 
 
 31 Deg. 
 
 311^ Deg. 
 
 31 J^ Deg. 
 
 
 
 s 
 
 5i 
 
 Lat. 
 
 Dep. 
 25.69 
 
 Lat. 
 
 Dep. 
 
 25.88 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 26.27 
 
 Lat. 
 
 Dep. 
 
 26.46 
 
 l.at. { 
 
 Dep. 
 
 5i 
 
 44.06 
 
 43.94 
 
 43.83 
 
 26.08 
 
 43.72 
 
 43.60 
 
 43.48 
 
 26.65 
 
 52 
 
 44.92 
 
 26.20 
 
 44.80 
 
 26.39 
 
 44.69 
 
 26.59 
 
 44.57 
 
 26.78 
 
 44.46 
 
 26.98 
 
 44.34 
 
 27.17 
 
 52 
 
 53 
 
 45.78 
 
 26.70 
 
 45.67 
 
 26.90 
 
 45.55 
 
 27.10 
 
 45.43 
 
 27.30 
 
 45. 3i 
 
 27.49 
 
 45.19 
 
 27.69 
 
 53 
 
 54 
 
 46.65 
 
 27.20 
 
 46.53 
 
 27.41 
 
 46.4i 
 
 27.61 
 
 46.29 
 
 27.81 
 
 46.17 
 
 28.01 
 
 46.04 
 
 28.21 
 
 54 
 
 55 
 
 47.51 
 
 27.71 
 
 47.39 
 
 27.91 
 
 47.27 
 
 28.12 
 
 47.14 
 
 28.33 
 
 47.02 
 
 28.53 
 
 46.90 
 
 28.74 
 
 55 
 
 56 
 
 48.37 
 
 28.21 
 
 48.25 
 
 28.42 
 
 48.13 
 
 28.63 
 
 48.00 
 
 28.84 
 
 47.88 
 
 29.05 
 
 47.75 
 
 29,26 
 
 56 
 
 5? 
 
 49.24 
 
 28.72 
 
 49.11 
 
 28.93 
 
 48.99 
 
 29.14 
 
 48.86 
 
 29.36 
 
 48.73 
 
 29.57 
 
 48.60 
 
 29.78 
 
 57 
 
 58 
 
 5o.io 
 
 29.22 
 
 49.97 
 
 29.44 
 
 49.85 
 
 29.65 
 
 49.72 
 
 29.87 
 
 49.58 
 
 30.09 
 
 49.45 
 
 3o.3o 
 
 58 
 
 59 
 
 50.97 
 
 29.72 
 
 5o.84 
 
 29.941 
 
 50.70 
 
 30.17 
 
 50.57 
 
 30.39 
 
 5o.44 
 
 3o.6i 
 
 5o.3i 
 
 3o.83 
 
 59 
 
 60 
 
 5i.83 
 
 30.23 
 
 51.70 
 
 3o.45 
 
 5i.56 
 
 30.68 
 
 5 1. 43 
 
 30.90 
 
 51.29 
 
 3i.i3 
 
 5i.i6 
 
 31.35 
 
 60 
 
 61 
 
 52.69 
 
 30.73 
 
 52.56 
 
 30.96 
 
 52.42 
 
 31.19 
 
 52.29 
 
 31.42 
 
 52.15 
 
 31.65 
 
 52. 01 
 
 81.87 
 
 61 
 
 62 
 
 53.56 
 
 3i.23 
 
 53.42 
 
 31.47 
 
 53.28 
 
 31.70 
 
 53.14 
 
 31.93 
 
 53.00 
 
 32.16 
 
 52.86 
 
 32.39 
 
 62 
 
 63 
 
 54.43 
 
 31.74 
 
 54.28 
 
 31.97 
 
 54.14 
 
 32.21 
 
 54.00 
 
 32.45 
 
 53.86 
 
 32.68 
 
 53.72 
 
 32.92 
 
 63 
 
 64 
 
 55.29 
 
 32.24 
 
 55.14 
 
 32.48 
 
 55.00 
 
 32.72 
 
 54.86 
 
 32.96 
 
 54.71 
 
 33.20 
 
 54.57 
 
 33.44 
 
 64 
 
 65 
 
 56.15 
 
 32.75 
 
 56. oi 
 
 32.99 
 
 55.86 
 
 33.23 
 
 55.72 
 
 33.48 
 
 55.57 
 
 33.72 
 
 55.42 
 
 33.96 
 
 65 
 
 66 
 
 57.01 
 
 33.25 
 
 56.87 
 
 33. 5o 
 
 56.72 
 
 33.75 
 
 56.57 
 
 33.99 
 
 56.42 
 
 34.24 
 
 56.27 
 
 34.48 
 
 66 
 
 67 
 
 57.88 
 
 33.75 
 
 57.73 
 
 34.01 
 
 57.58 
 
 34.26 
 
 57.43 
 
 34. 5i 
 
 57.28 
 
 34.76 
 
 57.13 
 
 35.01 
 
 67 
 
 68 
 
 58.74 
 
 34.26 
 
 58.59 
 
 34.5i 
 
 58.44 
 
 34.77 
 
 58.29 
 
 35.02 
 
 58.13 
 
 35.28 
 
 57.98 
 
 35.53 
 
 68 
 
 69 
 
 59.60 
 
 34.76 
 
 59.45 
 
 35.02 
 
 59.30 
 
 35.28 
 
 59.14 
 
 35.54 
 
 58.99 
 
 35.80 
 
 58.83 
 
 36.o5 
 
 69 
 
 70 
 
 60.47 
 
 35.26 
 
 60. 3i 
 
 35.53 
 
 60.16 
 
 35.79 
 
 60.00 
 
 36.o5 
 
 59.84 
 
 36.3i 
 
 59.68 
 
 36.57 
 
 70 
 
 71 
 
 61.33 
 
 35.77 
 
 61.18 
 
 36.04 
 
 61.02 
 
 36. 3o 
 
 60.86 
 
 36.57 
 
 60.70 
 
 36.83 
 
 60.54 
 
 37.10 
 
 71 
 
 72 
 
 62.20 
 
 36.27 
 
 62.04 
 
 36.54 
 
 61.88 
 
 36.8i 
 
 61.72 
 
 37.08 
 
 61.55 
 
 37.35 
 
 61.39 
 
 37.62 
 
 72 
 
 73 
 
 63.06 
 
 36.78 
 
 62.90 
 
 37.05 
 
 62.74 
 
 37.32 
 
 62.57 
 
 37.60 
 
 62.41 
 
 37.87 
 
 62.24 
 
 38. i4 
 
 73 
 
 74 
 
 63.92 
 
 37.28 
 
 63.76 
 
 37.56 
 
 63.6o 
 
 37.84 
 
 63.43 
 
 38.11 
 
 63.26 
 
 38.39 
 
 63. 10 
 
 38.66 
 
 74 
 
 75 
 
 64.79 
 
 37.78 
 
 64.62 
 
 38.07 
 
 64.46 
 
 38.35 
 
 64.29 
 
 38.63 
 
 64.12 
 
 38.91 
 
 63.95 
 
 39.19 
 
 75 
 
 76 
 
 65.65 
 
 38.29 
 
 65.48 
 
 38.57 
 
 65. 3i 
 
 38.86 
 
 65. i4 
 
 39.14 
 
 64.97 
 
 39.43 
 
 64.80 
 
 39.71 
 
 76 
 
 77 
 
 66.52 
 
 38.79 
 
 66.35 
 
 39.08 
 
 66.17 
 
 39.37 
 
 66.00 
 
 39.66 
 
 65.83 
 
 39.95 
 
 65.65 
 
 4o.23 
 
 77 
 
 78 
 
 67.38 
 
 39.29 
 
 67.21 
 
 39.59 
 
 67.03 
 
 39.88 
 
 66.86 
 
 40.17 
 
 66.68 
 
 4o.46 
 
 66. 5i 
 
 40.75 
 
 78 
 
 79 
 
 68.24 
 
 39.80 
 
 68.07 
 
 4o.io 
 
 67.89 
 
 40.39 
 
 67.72 
 
 40.69 
 
 67.54 
 
 40.98 
 
 67.36 
 
 41.28 
 
 79 
 
 80 
 
 69.11 
 
 4o.3o 
 
 68.93 
 
 4o.6o 
 
 68.75 
 
 40.90 
 
 68.57 
 
 41.20 
 
 68.39 
 
 4i.5o 
 
 68.21 
 
 41.80 
 
 80 
 
 81 
 
 69.97 
 
 40.81 
 
 69.79 
 
 4i.i I 
 
 69.61 
 
 4i.4i 
 
 69.43 
 
 41.72 
 
 69.25 
 
 42.02 
 
 69.06 
 
 42.32 
 
 81 
 
 82 
 
 70.83 
 
 4i.3i 
 
 70.65 
 
 41.62 
 
 70.47 
 
 41.93 
 
 70.29 
 
 42.23 '70.10 
 
 42.54 
 
 69.92 
 
 42.84 
 
 82 
 
 83 
 
 71.70 
 
 41.81 
 
 71.52 
 
 42. i3 
 
 71.33 
 
 43.44 
 
 71.14 
 
 42.75 
 
 70.96 
 
 43.06 
 
 70.77 
 
 43.37 
 
 83 
 
 84 
 
 72.56 
 
 42.32 
 
 72.38 
 
 42.63 
 
 72.19 
 
 42.95 
 
 72.00 
 
 43.26 
 
 71.81 
 
 43.58 
 
 71.62 
 
 43.89 
 
 84 
 
 85 
 
 73.43 
 
 42.82 
 
 73.24 
 
 43.14 
 
 73.05 
 
 43.46 
 
 72.86 
 
 43.78 
 
 72.67 
 
 44.10 
 
 72.47 
 
 44.41 
 
 85 
 
 86 
 
 74.29 
 
 43.32 
 
 74.10 
 
 43.65 
 
 73.91 
 
 43.97 
 
 73.72 
 
 44.29 
 
 I73.52 
 
 44.61 
 
 73.33 
 
 44.93 
 
 86 
 
 87 
 
 75.15 
 
 43.83 
 
 74.96 
 
 44.16 
 
 74.77 
 
 44.48 
 
 74.57 
 
 44.81 
 
 74.38 
 
 45.13 
 
 74.18 
 
 45.46 
 
 87 
 
 88 
 
 76.02 
 
 44.33 
 
 75.82 
 
 44.66 
 
 75.63 
 
 44.99 
 
 75.43 
 
 45.32 
 
 75.23 
 
 45.65 
 
 75.03 
 
 45.98 
 
 88 
 
 89 
 
 76.88 
 
 44.84 
 
 76.68 
 
 45.17 
 
 76.49 
 
 45. 5i 
 
 76.29 
 
 45.84 
 
 76.09 
 
 46.17 
 
 75.88 
 
 46. 5o 
 
 89 
 
 90 
 
 77.75 
 
 45.34 
 
 77.55 
 
 45.68 
 
 77.35 
 
 46.02 
 
 77.15 
 
 46.35 
 
 76.94 
 
 46.69 
 
 76.74 
 
 47.02 
 
 90 
 
 91 
 
 78.61 
 
 45.84 
 
 78.41 
 
 46.19 
 
 78.21 
 
 46.53 
 
 78.00 
 
 46.87 
 
 77.80 
 
 47.21 
 
 77.59 
 
 47.55 
 
 91 
 
 7 
 
 92 
 
 79-47 
 
 46.35 
 
 79.27 
 
 46.69 
 
 79.07 
 
 47.04 
 
 78.86 
 
 47-38 
 
 78.65 
 
 47.73 
 
 78.44 
 
 48.07 
 
 92 
 
 
 
 93 
 
 80.34 
 
 46.85';8o.i3 
 
 47.20 
 
 79.92 
 
 47.55 
 
 79.72 
 
 47.90: 79.51 
 
 48.25 
 
 79.30 
 
 48.59 
 
 93 
 
 94 
 
 81.20 
 
 4735 
 
 80.99 
 
 47.71 
 
 80.78 
 
 48.06 
 
 80.57 
 
 48.41 
 
 80. 36 
 
 48.76 
 
 80. i5 
 
 49.11 
 
 94 
 
 7 
 
 95 
 
 82.06 
 
 47.86 
 
 8i.85 
 
 48.22 
 
 81.64 
 
 48.57 
 
 81.43 
 
 48.93 
 
 81.22 
 
 49.28 
 
 81.00 
 
 49.64 
 
 95 
 
 96 
 
 82.93 
 
 48.36 
 
 82.72 
 
 48.72 
 
 83. 5o 
 
 49.08 
 
 82.29 
 
 49-44 
 
 82.07 
 
 49.80 
 
 81.85 
 
 5o.i6 
 
 96 
 
 97 
 
 83.79 
 
 48.87 
 
 83.58 
 
 49.23 
 
 83.36 
 
 49.60 
 
 83. i5 
 
 49.96 82.93 
 
 5o.32 
 
 82.71 
 
 5o.68 
 
 97 
 
 
 
 98 
 
 84.66 
 
 49.37 
 
 49.87 
 
 84.44 
 
 49.74 
 
 84.22 
 
 5o.ii 
 
 84.00 
 
 5o.47 
 
 ,83.78 
 
 5o.84 
 
 83.56 
 
 5l.20 
 
 98 
 
 99 
 100 
 
 85.52 
 
 85. 3o 
 
 5o.25 
 
 8 5. 08 
 
 50.62 
 
 84.86 
 
 50.99 
 
 i 84.64 
 
 51.36 
 
 84.4i 
 
 51.73 
 
 99 
 
 86.38 
 
 5o.38 
 
 86.16 
 
 50.75 
 
 85.94 
 
 5i.i3 
 
 85.72 
 Dep. 
 
 5i.5o 
 
 85.49 
 
 Dep. 
 
 51.88 
 
 85.26 
 
 52.25 
 
 100 
 
 1 
 
 
 
 c5 
 
 
 a 
 
 CO 
 
 a 
 
 Dep. 
 
 I-at. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Lat. 
 
 1 Lat. 
 
 Dep. 
 
 Lat 
 
 59% 
 
 Deg. 
 
 591^ Deg. 
 
 5Qyi Deg. 
 
 59 Deg. 
 
 58% Deg. 
 
 58K Deg. 
 
 M 
 
irs 
 
 
 
 
 T 
 
 KAV 
 
 ERSE T 
 
 ABLE. 
 
 
 
 
 
 3 
 
 1 
 
 I 
 
 31% Deg. 
 
 32 Deg. 
 
 32>^ Deg. 
 
 32>^ Deg. 
 
 32% Deg. 
 
 33 Deg. 
 
 
 
 D 
 
 Lat. 
 
 Uep. 
 
 Lat 
 
 |)C|). 
 
 0.53 
 
 Lat. 
 
 Uep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Hep. 
 
 Lat. 
 
 Dep. 
 
 0.85 
 
 0.53 
 
 0.85 
 
 0.85 
 
 0.53 
 
 0.84 
 
 0.54 
 
 0.84 
 
 0.54 
 
 0.84 
 
 0.54 
 
 1 
 
 2 
 
 1.70 
 
 2.55 
 
 i.o5 
 
 1.70 
 
 1.06 
 
 1.69 
 
 1.07 
 
 1.69 
 
 1.07 
 
 1.68 
 
 1.08 
 
 1.68 
 
 1.09 
 
 2 
 
 3 
 
 1.58 
 
 2.54 
 
 1.59 
 
 2.54 
 
 1.60 
 
 2.53 
 
 1.61 
 
 2.52 
 
 1.62 
 
 2.52 
 
 1.63 
 
 3 
 
 4 
 
 3.4o 
 
 2.10 
 
 3.39 
 
 2.12 
 
 3.38 
 
 2.l3 
 
 3.37 
 
 2.l5 
 
 3.36 
 
 2.16 
 
 3.35 
 
 2.18 
 
 4 
 
 5 
 
 4.25 
 
 2.63 
 
 4.24 
 
 2.65 
 
 4.23 
 
 2.67 
 
 4.22 
 
 2.69 
 
 4.21 
 
 2.70 
 
 4.19 
 
 2.72 
 
 5 
 
 6 
 
 5.:o 
 
 3.16 
 
 5.09 
 
 3.18 
 
 5.07 
 
 3.20 
 
 5.06 
 
 3.22 
 
 5.o5 
 
 3.25 
 
 5.o3 
 
 3.27 
 
 6 
 
 7 
 
 5.95 
 6.80 
 
 3.68 
 
 5.94 
 
 3.71 
 
 5.92 
 
 3.74 
 
 5.90 
 
 3.76 
 
 5.89 
 
 3.79 
 
 5.87 
 
 3.81 
 
 7 
 
 / 
 8 
 
 4.21 
 
 6.78 
 
 4.24 
 
 6.77 
 
 4.27 
 
 6.75 
 
 4.3o 
 
 6.73 
 
 4.33 
 
 6.71 
 
 4.36 
 
 8 
 
 9 
 
 lO 
 
 7.65 
 8.5o 
 
 4.74 
 
 7.63 
 
 4.77 
 
 7.61 
 
 4.80 
 
 7.59 
 
 4.84 
 
 7.57 
 
 4.87 
 
 7.55 
 
 4.90 
 
 9 
 
 5.26 
 
 8.48 
 
 5.3o 
 
 8.46 
 
 5.34 
 
 8.43 
 
 5.37 
 
 8.4i 
 
 5.4i 
 
 8.39 
 
 5.45 
 
 10 
 
 II 
 
 9.35 
 
 5.79 
 
 9.33 
 
 5.83 
 
 9.30 
 
 5.87 
 
 9.28 
 
 5.91 
 
 9.25 
 
 5.95 
 
 9.23 
 
 5.99 
 
 1 1 
 
 12 
 
 7 
 
 10.20 
 
 6.3i 
 
 10.18 
 
 6.36 
 
 10. i5 
 
 6.4o 
 
 10.12 
 
 6.45 
 
 10.09 
 
 6.49 
 
 10.06 
 
 6.54 
 
 12 
 
 i3 
 
 ii.o5 
 
 6.84 
 
 11.02 
 
 6.89 
 
 10.99 
 
 6.94 
 
 10.96 
 
 6.98 
 
 10.93 
 
 7.o3 
 
 10.90 
 
 7.08 
 
 i3 
 
 i4 
 
 II. go 
 
 7.37 
 
 n.87 
 
 7.42 
 
 11.84 
 
 7-47 
 
 11.81 
 
 7.52 
 
 11.77 
 
 7.57 
 
 11.74 
 
 7.62 
 
 i4 
 
 i5 
 
 / 
 
 12.76 
 
 7.89 
 
 12.72 
 
 7.95 
 
 12.69 
 
 8.00 
 
 12.65 
 
 8.06 
 
 12.62 
 
 8.11 
 
 12.58 
 
 8.17 
 
 i5 
 
 i6 
 
 i3.6i 
 
 8.42 
 
 13.57 
 
 8.48 
 
 i3.53 
 
 8.54 
 
 13.49 
 
 8.60 
 
 i3.46 
 
 8.66 
 
 l3.42 
 
 8.71 
 
 16 
 
 I? 
 
 14.46 
 
 8.95 
 
 14.42 
 
 9.01 
 
 i4.38 
 
 9.07 
 
 14.34 
 
 9.13 
 
 i4.3o 
 
 9.20 
 
 14.26 
 
 9.26 
 
 17 
 
 i« 
 
 i5.3i 
 
 9.47 
 
 15.26 
 
 9.54 
 
 l5.22 
 
 9.61 
 
 i5.i8 
 
 9.67 
 
 i5.i4 
 
 9-74 
 
 i5.io 
 
 9.80 
 
 18 
 
 '9 
 
 16.16 
 
 10.00 
 
 16. 1 1 
 
 10.07 
 
 16.07 
 
 10. i4 
 
 16.02 
 
 10.21 
 
 15.98 
 
 10.28 
 
 15.93 
 
 10.35 
 
 19 
 
 20 
 
 17.01 
 
 10.52 
 
 16.96 
 
 10.60 
 
 16.91 
 
 10.67 
 
 16.87 
 
 10.75 
 
 16.82 
 
 10.82 
 
 16.77 
 
 10.89 
 
 20 
 
 21 
 
 17.86 
 
 I i.o5 
 
 17.81 
 
 II. i3 
 
 17.76 
 
 11.21 
 
 17.71 
 
 11.28 
 
 17.66 
 
 11.36 
 
 17.61 
 
 11.44 
 
 21 
 
 22 
 
 18.71 
 
 11.58 
 
 18.66 
 
 11.66 
 
 18.61 
 
 11.74 
 
 18.55 
 
 11.82 
 
 18. 5o 
 
 11.90 
 
 18.45 
 
 11.98 
 
 22 
 
 23 
 
 19.56 
 
 12.10 
 
 19.51 
 
 12.19 
 
 19.45 
 
 12.27 
 
 19.40 
 
 12.36 
 
 19.34 
 
 12.44 
 
 19.29 
 
 12.53 
 
 23 
 
 24 
 
 20.4l 
 
 12.63 
 
 20.35 
 
 12.72 
 
 20. 3o 
 
 12.81 
 
 20.24 
 
 12.90 
 
 20.18 
 
 12.98 
 
 20. i3 
 
 13.07 
 
 24 
 
 25 
 
 21.26 
 
 i3.i6 
 
 21.20 
 
 i3.25 
 
 21. i4 
 
 i3.34 
 
 21.08 
 
 i3.43 
 
 2i.o3 
 
 13.52 
 
 20.97 
 
 13.62 
 
 25 
 
 26 
 
 22.11 
 
 i3.68 
 
 22. o5 
 
 13.78 
 
 21.99 
 
 13.87 
 
 21.93 
 
 13.97 
 
 21.87 
 
 14.07 
 
 21.81 
 
 14.16 
 
 26 
 
 27 
 
 22.96 
 
 14.21 
 
 22.90 
 
 i4.3i 
 
 22.83 
 
 i4.4i 
 
 22.77 
 
 i4.5i 
 
 22.71 
 
 14.61 
 
 22.64 
 
 14.71 
 
 27 
 
 28 
 
 23.81 
 
 14.73 
 
 23.75 
 
 14.84 
 
 23.68 
 
 14.94 
 
 23.61 
 
 i5.o4 
 
 23.55 
 
 i5.i5 
 
 23.48 
 
 i5.25 
 
 28 
 
 29 
 
 24.66 
 
 15.26 
 
 24.59 
 
 15.37 
 
 24.53 
 
 i5.47 
 
 24.46 
 
 i5.58 
 
 24.39 
 
 15.69 
 
 24.32 
 
 i5.79 
 
 29 
 
 3o 
 
 25. 5i 
 
 15.79 
 
 25.44 
 
 15.90 
 
 25.37 
 
 16.01 
 
 25. 3o 
 
 16.12 
 
 25.23 
 
 16.23 
 
 25.16 
 
 i6.34 
 
 3o 
 
 3i 
 
 26.36 
 
 16. 3i 
 
 26.29 
 
 16.43 
 
 26.22 
 
 16.54 
 
 26. i5 
 
 16.66 
 
 26.07 
 
 16.77 
 
 26.00 
 
 16.88 
 
 3i 
 
 32 
 
 27.21 
 
 16.84 
 
 27.14 
 
 16.96 
 
 27.06 
 
 17.08 
 
 26.99 
 
 17.19 
 
 26.91 
 
 17.31 
 
 26.84 
 
 17.43 
 
 32 
 
 33 
 
 28.06 
 
 17.37 
 
 27.99 
 
 17.49 
 
 27.91 
 
 17.61 
 
 27.83 
 
 17.73 
 
 27.75 
 
 17.85 
 
 27.68 
 
 17.97 
 
 33 
 
 34 
 
 28.91 
 
 17.89 
 
 28.83 
 
 l8.02 
 
 28.75 
 
 18. i4 
 
 28.68 
 
 18.27 
 
 28.60 
 
 18.39 
 
 28.51 
 
 18.52 
 
 34 
 
 35 
 
 29.76 
 
 18.42 
 
 29.68 
 
 18.55 
 
 29,60 
 
 18.68 
 
 29.52 
 
 18.81 
 
 29.44 
 
 18.93 
 
 29.35 
 
 19.06 
 
 35 
 
 36 
 
 3o.6i 
 
 18.94 
 
 30.53 
 
 19.08 
 
 30.45 
 
 19.21 
 
 3o.36 
 
 19.34 
 
 30.28 
 
 19.48 
 
 30.19 
 
 19.61 
 
 36 
 
 37 
 
 31.46 
 
 19.47 
 
 31.38 
 
 19.61 
 
 31.29 
 
 19.74 
 
 3l.21 
 
 19.88 
 
 3I.I2 
 
 20.02 
 
 3i.o3 
 
 20.l5 
 
 37 
 
 38 
 
 32. 3i 
 
 20.00 
 
 32.23 
 
 20.14 
 
 32.14 
 
 20.28 
 
 32.o5 
 
 20.42 
 
 31.96 
 
 20.56 
 
 31.87 
 
 20.70 
 
 38 
 
 39 
 
 33.16 
 
 20.52 
 
 33.07 
 
 20.67 
 
 32.98 
 
 20.81 
 
 32.89 
 
 20.95 
 
 32.80 
 
 21.10 
 
 32.71 
 
 21.24 
 
 39 
 
 4o 
 
 34.01 
 
 2I.o5 
 
 33.92 
 
 21.20 
 
 33.83 
 
 21.34 
 
 33.74 
 
 21.49 
 
 33.64 
 
 21.64 
 
 33.55 
 
 21.79 
 
 40 
 
 4i 
 
 34.86 
 
 21.57 
 
 34.77 
 
 21.73 
 
 34.67 
 
 21.88 
 
 34.58 
 
 22. o3 
 
 34.48 
 
 22.18 
 
 34.39 
 
 22.33 
 
 4i 
 
 42 
 
 35.71 
 
 22.10 
 
 35.62 
 
 22.26 
 
 35.52 
 
 22.41 
 
 35.42 
 
 22.57 
 
 35.32 
 
 22.72 
 
 35.22 
 
 22.87 
 
 42 
 
 43 
 
 36.57 
 
 22.63 
 
 36.47 
 
 22.79 
 
 36.37 
 
 22.95 
 
 36.27 
 
 23. 10 
 
 36. 16 
 
 23.26 
 
 36.06 
 
 23.42 
 
 43 
 
 44 
 
 37.42 
 
 23. l5 
 
 37.31 
 
 23.32 
 
 37.21 
 
 23.48 
 
 37.11 
 
 23.64 
 
 37.01 
 
 23.80 
 
 36.90 
 
 23.96 
 
 44 
 
 45 
 
 38.27 
 
 23.68 
 
 38.16 
 
 23.85 
 
 38.06 
 
 24.01 
 
 37.95 
 
 24.18 
 
 37.85 
 
 24.34 
 
 37.74 
 
 24. 5i 
 
 45 
 
 46 
 
 39.12 
 
 24.21 
 
 39.01 
 
 24.38 
 
 38.90 
 
 24.55 
 
 38. 80 
 
 24.72 
 
 38.69 
 
 24.88 
 
 38.58 
 
 25. o5 
 
 46 
 
 47 
 
 39.97 
 
 24.73 
 
 39.86 
 
 24.91 
 
 39.75 
 
 25.08 
 
 39.64 
 
 25.25 
 
 39.53 
 
 25.43 
 
 39.42 
 
 25.60 
 
 47 
 
 48 
 
 40.82 
 
 25.26 
 
 40.71 
 
 25.44 
 
 40.59 
 
 25.61 
 
 4o.48 
 
 25.79 
 
 40.37 
 
 25.97 
 
 40.26 
 
 26.14 
 
 48 
 
 49 
 
 41.67 
 
 25.78 
 
 41.55 
 
 25.97 
 
 41.44 
 
 26.15 
 
 41.33 
 
 26.33 
 
 4l.21 
 
 26.51 
 
 41.09 
 
 26.69 
 
 49 
 
 5o 
 
 1 
 
 w 
 
 Q 
 
 42.52 
 
 26. 3i 
 
 42.40 
 
 26.50 
 
 42.29 
 
 26.68 
 
 42.17 
 
 26.86 
 
 42. o5 
 
 27.05 
 
 41.93 
 
 27.23 
 
 5o 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 T.at. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 d 
 a 
 
 m 
 
 58K Deg. 
 
 58 Deg. 
 
 57% Deg. 
 
 57M Deg. 
 
 57% Deg. 
 
 57] 
 
 3eg. 
 

 
 
 
 T 
 
 RAVEESE Table 
 
 
 
 
 
 179 
 
 1 
 g 
 s 
 
 9 
 o 
 
 ® 
 5i 
 
 31% Deg. 
 
 32 Deg. 
 
 32% Deg. 
 
 321^ Deg. 
 
 32% Deg. 
 
 33 Deg. 
 
 
 
 CD 
 
 8 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 IM. 1 Dep. 
 
 Lat. 
 
 Dep. 
 
 43.37 
 
 26.84 
 
 43.25 
 
 27.03 
 
 43. i3 
 
 27.21 
 
 43.01 
 
 27.40 
 
 42.89 
 
 27.59 
 
 42.77 
 
 27.78 
 
 5i 
 
 52 
 
 44.22 
 
 27.36 
 
 44.10 
 
 27.56 
 
 43.98 
 
 27.75 
 
 43.86 
 
 27-94 
 
 43.73 
 
 28.13 
 
 43.61 
 
 28.32 
 
 52 
 
 53 
 
 45.07 
 
 27.89 
 
 44.95 
 
 28.09 
 
 44.82 
 
 28.28 
 
 44.70 
 
 28.48 
 
 44.58 
 
 28.67 
 
 44.45 
 
 28.87 
 
 53 
 
 54 
 
 45.92 
 
 28.42 
 
 45.79 
 
 28.62 
 
 45.67 
 
 28.82' 
 
 45.54 
 
 29.01 
 
 45.42 
 
 29.21 
 
 45.29 
 
 29.41 
 
 54 
 
 55 
 
 46.77 
 
 28.94 
 
 46.64 
 
 29.15 
 
 46. 5i 
 
 29.35 
 
 46.39 
 
 29.55 
 
 46.26 
 
 29.75 
 
 46.13 
 
 29.96 
 
 55 
 
 56 
 
 47.62 
 
 29.47 
 
 47.49 
 
 29.68 
 
 47-36 
 
 29.88 
 
 47-23 
 
 30.09 
 
 47.10 
 
 30.29 
 
 46.97 
 
 3o.5o 
 
 56 
 
 5? 
 
 48.47 
 
 29.99 
 
 48.34 
 
 3o.2i 
 
 48.21 
 
 3o.42 
 
 48.07 
 
 30.63 
 
 47-94 
 
 3o.84 
 
 47.80 
 
 3i.o4 
 
 57 
 
 58 
 
 49.32 
 
 3o.52 
 
 49.19 
 
 30.74 
 
 49.05 
 
 30.95 
 
 48.92 
 
 3i.i6 
 
 48.78 
 
 3i.38 
 
 48.64 
 
 31.59 
 
 58 
 
 59 
 
 50.17 
 
 3i.o5 
 
 5o.o3 
 
 31.27 
 
 49.90 
 
 31.48 
 
 49.76 
 
 31.70 
 
 49.62 
 
 31.92 
 
 49-48 
 
 32.13 
 
 59 
 
 60 
 
 5l.02 
 
 31.57 
 
 5o.88 
 
 3i.8o 
 
 50.74 
 
 32.02 
 
 5o.6o 
 
 32.24 
 
 5o.46 
 
 32.46 
 
 5o.32 
 
 32.68 
 
 60 
 
 61 
 
 51.87 
 
 32.10 
 
 5(.73 
 
 32.33 
 
 51.59 
 
 32.55 
 
 5 1. 45 
 
 32.78 
 
 5i.3o 
 
 33.00 
 
 5i.i6 
 
 33.22 
 
 6i 
 
 62 
 
 52.72 
 
 32.63 
 
 52.58 
 
 32.85 
 
 52.44 
 
 33.08 
 
 52.29 
 
 33.3i 
 
 52.14 
 
 33.54 
 
 52.00 
 
 33.77 
 
 62 
 
 63 
 
 53.57 
 
 33. i5 
 
 53.43 
 
 33.38 
 
 53.28 
 
 33.62 
 
 53.13 
 
 33.85 
 
 52.99 
 
 34.08 
 
 52.84 
 
 34. 3i 
 
 63 
 
 64 
 
 54.42 
 
 33.68 
 
 54.28 
 
 33.91 
 
 54.13 
 
 34.15 
 
 53.98 
 
 34.39 
 
 53.83 
 
 34.62 
 
 53.67 
 
 34.86 
 
 64 
 
 65 
 
 55.27 
 
 34.20 
 
 55.12 
 
 34.44 
 
 54.97 
 
 34.68 
 
 54.82 
 
 34.92 
 
 54.67 
 
 35.16 
 
 54.51 
 
 35.40 
 
 65 
 
 66 
 
 56.12 
 
 34.73 
 
 55.97 
 
 34.97 
 
 55.82 
 
 35.22 
 
 55.66 
 
 35.46 
 
 55. 5i 
 
 35.70 
 
 55.35 
 
 35.95 
 
 66 
 
 67 
 
 56.98 
 
 35.26 
 
 56.82 
 
 35.5o 
 
 56.66 
 
 35.75 
 
 56. 5i 
 
 36. 00 
 
 56.35 
 
 36.25 
 
 56.19 
 
 36.49 
 
 67 
 
 68 
 
 57.82 
 
 35.78 
 
 57.67 
 
 36.03 
 
 57.51 
 
 36.29 
 
 57.35 
 
 36.54 
 
 57.19 
 
 36.79 
 
 57.03 
 
 37.04 
 
 68 
 
 69 
 
 58.67 
 
 36.3i 
 
 58.52 
 
 36.56 
 
 58.36 
 
 36.82 
 
 58.19 
 
 37.07 
 
 58.03 
 
 37.33 
 
 57.87 
 
 37.58 
 
 69 
 
 70 
 
 59.52 
 
 36.83 
 
 59.36 
 
 37.09 
 
 59.20 
 
 37.35 
 
 59.04 
 
 37.61 
 
 58.87 
 
 37.87 
 
 58.71 
 
 38.12 
 
 70 
 
 71 
 
 60.37 
 
 37.36 
 
 60.21 
 
 37.62 
 
 60. o5 
 
 37.89 
 
 59.88 
 
 38.15 
 
 59.71 
 
 38.4i 
 
 59.55 
 
 38.67 
 
 71 
 
 72 
 
 61.23 
 
 37.89 
 
 61.06 
 
 38.15 
 
 60.89 
 
 38.42 
 
 60.72 
 
 38.69 
 
 60.55 
 
 38.95 
 
 6o.38 
 
 39.21 
 
 72 
 
 73 
 
 62.08 
 
 38.4i 
 
 61.91 
 
 38.68 
 
 61.74 
 
 38.95 
 
 61.57 
 
 39.22 
 
 61. 4o 
 
 39.49 
 
 61.22 
 
 39.76 
 
 73 
 
 74 
 
 62.93 
 
 38.94 
 
 62.76 
 
 39.21 
 
 62.58 
 
 39.49; 
 
 62.41 
 
 39.76 
 
 62.24 
 
 4o.o3 
 
 62.06 
 
 4o.3o 
 
 74 
 
 75 
 
 63.78 
 
 39.47 
 
 63.6o 
 
 39.74 
 
 63.43 
 
 4o.02 
 
 63.25 
 
 4o.3o 
 
 63.o8 
 
 40.57 
 
 62.90 
 
 40.85 
 
 75 
 
 76 
 
 64.63 3g.99 
 
 64.45 
 
 40.27 
 
 64.28 
 
 40.55 
 
 64.10 
 
 40.83 
 
 63.92 
 
 4i.li 
 
 63.74 
 
 41.39 
 
 76 
 
 77 
 
 65.48 
 
 4o.52 
 
 65. 3o 
 
 4o.8o 
 
 65.12 
 
 41.09 
 
 64.94 
 
 41.37 
 
 64.76 
 
 4i.65 
 
 64.58 
 
 41.94 
 
 77 
 
 78 
 
 66.33 
 
 4i.o4 
 
 66. i5 
 
 41.33 
 
 65.97 
 
 41.62 
 
 65.78 
 
 41.91 
 
 65.6o 
 
 42.20 
 
 65.42 
 
 42.48 
 
 78 
 
 79 
 
 67.18 
 
 41.57 
 
 67.00 
 
 41.86 
 
 66.81 
 
 42.16 
 
 66.63 
 
 42.45 
 
 66.44 
 
 42.74 
 
 66.25 
 
 43.o3 
 
 79 
 
 80 
 
 68.03 
 
 42.10 
 
 67.84 
 
 42.39 
 
 67.66 
 
 42.69 
 
 67.47 
 
 42.98 
 
 67.28 
 
 43.28 
 
 67.09 
 
 43.57 
 
 80 
 
 81 
 
 68.88 
 
 42.62 
 
 68.69 
 
 42.92 
 
 68. 5o 
 
 43.22 
 
 68. 3i 
 
 43.52 
 
 68.12 
 
 43.82 
 
 67.93 
 
 44.12 
 
 81 
 
 82 
 
 69.73 
 
 43. i5 
 
 69.54 
 
 43.45 
 
 69.35 
 
 43.76 
 
 69.16 
 
 44.06 
 
 68.97 
 
 44.36 
 
 68.77 
 
 44.66 
 
 82 
 
 83 
 
 70.58 
 
 43.68 
 
 70.39 
 
 43.98 
 
 70.20 
 
 44.29 
 
 70.00 
 
 44.60 
 
 69.81 
 
 44.90 
 
 69.61 
 
 45.20 
 
 83 
 
 84 
 
 71.43 
 
 44.20 
 
 71.24 
 
 44.51 
 
 71.04 
 
 44.82 
 
 70.84 
 
 45.13 
 
 70.65 
 
 45.44 
 
 70.45 
 
 45.75 
 
 84 
 
 85 
 
 72.28 
 
 44.73 
 
 72.08 
 
 45.04 
 
 71.89 
 
 45.36 
 
 71.69 
 
 45.67 
 
 71.49 
 
 45.98 
 
 71.29 
 
 46.29 
 
 85 
 
 86 
 
 73.13 
 
 45.25 
 
 72.93 
 
 45.57 
 
 72.73 
 
 45.89 
 
 72.53 
 
 46.21 
 
 72.33 
 
 46.52 
 
 72.13 
 
 46.84 
 
 86 
 
 87 
 
 73.98 
 
 45.78 
 
 73.78 
 
 46.10 
 
 73.58 
 
 46.42 
 
 73.38 
 
 46.75 
 
 73.17 
 
 47.06 
 
 72.96 
 
 47-38 
 
 87 
 
 88 
 
 74.83 
 
 46. 3i 
 
 74.63 
 
 46.63 
 
 74.42 
 
 46.96 
 
 74.22 
 
 47.28 
 
 74.01 
 
 47.61 
 
 73.80 
 
 47.93 
 
 88 
 
 89 
 
 75.68 
 
 46.83 
 
 75.48 
 
 47.16 
 
 75.27 
 
 47-49 
 
 75.06 
 
 47.82 
 
 74.85 
 
 48. i5 
 
 74-64 
 
 48.47 
 
 89 
 
 90 
 
 76.53 
 
 47-36 
 
 76.82 
 
 47-69 
 
 76.12 
 
 48.o3 
 
 75.91 
 
 48.36 
 
 75.69 
 
 48.69 
 
 75.48 
 
 49.02 
 
 90 
 
 91 
 
 77.38 
 
 47.89 
 
 77.17 
 
 48.22 
 
 76.96 
 
 48.56 
 
 76.75 
 
 48.89 
 
 76.53 
 
 49.23 
 
 76.32 
 
 49.56 
 
 91 
 
 92 
 
 78.23 
 
 48.41 
 
 78.02 
 
 48.75 
 
 77.81 
 
 49.09 
 
 77.59 
 
 49.43 
 
 77.38 
 
 49-77 
 
 77.16 
 
 5o.i I 
 
 92 
 
 93 
 
 79.08 
 
 48.94 
 
 78.87 
 
 49.28 
 
 78.65 
 
 49.63 
 
 78.44 
 
 49-97 
 
 78.22 
 
 5o.3i 
 
 78.00 
 
 5o.65 
 
 93 
 
 94 
 
 79.93 
 
 49.47 
 
 79-72 
 
 49.81 
 
 79.50 
 
 5o.i6 
 
 79.28 
 
 5o.5i 
 
 79.06 
 
 5o.85 
 
 78.83 
 
 5l.20 
 
 94 
 
 95 
 
 80.78 
 
 49.99 
 
 80.56 
 
 50.34 
 
 80.34 
 
 50.69 
 
 80.12 
 
 5i.o4 
 
 79.90 
 
 61.39 
 
 79.67 
 
 51.74 
 
 96 
 
 96 
 
 81.63 
 
 5o.52 
 
 81.41 
 
 50.87 
 
 81.19 
 
 5i.23 
 
 80.97 
 
 5i.58 
 
 80.74 
 
 51.93 
 
 80. 5i 
 
 62.29 
 
 96 
 
 97 
 
 82.48 
 
 5i.o4 
 
 82.26 
 
 5i.4o 
 
 82.04 
 
 51.76 
 
 81.81 
 
 52.12 
 
 8i.58 
 
 52.47 
 
 81.35 
 
 52.83 
 
 97 
 
 7 ' 
 
 98 
 
 83.33 
 
 51.57 
 
 83.11 
 
 51.93 
 
 82.88 
 
 52.29 
 
 82.65 
 
 52.66 
 
 82.42 
 
 53.02 
 
 82.19 
 
 53.37 
 
 98 
 
 7 
 
 Q9 
 
 84.18 
 
 52.10 
 
 83.9e 
 
 52.46 
 
 83.73 
 
 52.83 
 
 83. 5o 
 
 53.19 
 
 83.26 
 
 53.56 
 
 83.o3 
 
 53.92 
 
 99 
 
 7 7 
 
 100 
 
 85. o4 
 
 52.62 
 
 84.8c 
 
 52.99 
 
 84.57 
 
 53.36 
 
 84.34 
 
 53.73 
 
 84.10 
 
 54.10 
 
 83.87 
 
 54.46 
 
 100 
 
 6 
 
 
 
 Q 
 
 3 
 
 a 
 a 
 
 a 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 58% Deg. 
 
 58 Deg. 
 
 57% Deg. 
 
 57K Deg. 
 
 57% Deg. 
 
 57 Deg. 
 
180 
 
 Tbavekse Table. 
 
 g 
 
 D 
 
 33>^ Deg. 
 
 33K Deg. 
 
 mi Deg. 
 
 34 Deg. 
 
 34i< Deg. 
 
 341^ Deg. 
 
 
 
 CO 
 
 ? 
 
 D 
 
 p 
 
 I 
 
 Lat 
 
 Uep 
 
 i«it. 
 0.83 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 0.83 
 
 Dep. 
 0.56 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 0.84 
 
 0.55 
 
 0.55 
 
 0.83 
 
 0.56 
 
 0.83 
 
 0.56 
 
 0.82 
 
 0.57 
 
 O 
 
 1.67 
 
 1. 10 
 
 1.67 
 
 1. 10 
 
 1.66 
 
 I. II 
 
 1.66 
 
 1.12 
 
 1.65 
 
 i.i3 
 
 1.65 
 
 I.l3 
 
 2 
 
 3 
 
 2.5l 
 
 1.64 
 
 2.5o 
 
 1.66 
 
 2.49 
 
 1.67 
 
 2.49 
 
 1.68 
 
 2.48 
 
 1.69 
 
 2.47 
 
 1.70 
 
 3 
 
 4 
 
 3.35 
 
 2.19 
 
 3.34 
 
 2.21 
 
 3.33 
 
 2.22 
 
 3.32 
 
 2.24 
 
 3.3i 
 
 2.25 
 
 3.3o 
 
 2.27 
 
 4 
 
 5 
 
 4.18 
 
 2.74 
 
 4.17 
 
 2.76 
 
 4.16 
 
 2.78 
 
 4.i5 
 
 a.8o 
 
 4.i3 
 
 2.81 
 
 4.12 
 
 2.83 
 
 5 
 
 6 
 
 5.02 
 
 3.29 
 
 5.00 
 
 3.3i 
 
 4.99 
 
 3.33 
 
 4.97 
 
 3.36 
 
 4.96 
 
 3.38 
 
 4.94 
 
 3.4o 
 
 6 
 
 7 
 
 5.85 
 
 3.84 
 
 5.84 
 
 3.86 
 
 5.82 
 
 3.89 
 
 5.80 
 
 3.91 
 
 5.79 
 
 3.94 
 
 5.77 
 
 3.96 
 
 7 
 
 8 
 
 6.69 
 
 4.39 
 
 6.67 
 
 4.42 
 
 6.65 
 
 4.44 
 
 6.63 
 
 4.47 
 
 6.61 
 
 4.5o 
 
 6.59 
 
 4.53 
 
 8 
 
 9 
 
 7.53 
 
 4.93 
 
 7.5o 
 
 4.97 
 
 7-48 
 
 5.00 
 
 7.46 
 
 5.o3 
 
 7.44 
 
 5.07 
 
 7.42 
 
 5.10 
 
 9 
 
 10 
 
 8.36 
 
 5.48 
 
 8.34 
 
 5.52 
 
 8.3i 
 
 5.56 
 
 8.29 
 
 5.59 
 
 8.27 
 
 5.63 
 
 8.24 
 
 5.66 
 
 10 
 
 II 
 
 9.20 
 
 6.o3 
 
 9.17 
 
 6.07 
 
 9.1 5 
 
 6. II 
 
 9.12 
 
 6.i5 
 
 9.09 
 
 6.19 
 
 9.07 
 
 6.23 
 
 II 
 
 12 
 
 io.o4 
 
 6.58 
 
 10.01 
 
 6.62 
 
 9.98 
 
 6.67 
 
 9.95 
 
 6.71 
 
 9.92 
 
 6.75 
 
 9.89 
 
 6.80 
 
 12 
 
 i3 
 
 10.87 
 
 7.13 
 
 I0.84 
 
 7.18 
 
 10.81 
 
 7.22 
 
 10.78 
 
 7.27 
 
 10.75 
 
 7.32 
 
 10.71 
 
 7.36 
 
 i3 
 
 i4 
 
 1 1. 71 
 
 7.68 
 
 11.67 
 
 7.73 
 
 11.64 
 
 7.78 
 
 1 1.61 
 
 7.83 
 
 11.57 
 
 7.88 
 
 11.54 
 
 7.93 
 
 i4 
 
 i5 
 
 12.54 
 
 8.22 
 
 12. 5i 
 
 8.28 
 
 12.47 
 
 8.33 
 
 12.44 
 
 8.39 
 
 12.40 
 
 8.44 
 
 12.36 
 
 8.5o 
 
 i5 
 
 i6 
 
 1 3.38 
 
 8.77 
 
 i3.34 
 
 8.83 
 
 i3.3o 
 
 8.89 
 
 13.26 
 
 8.95 
 
 i3.23 
 
 9.00 
 
 13.19 
 
 9.06 
 
 16 
 
 I? 
 
 l4.22 
 
 9.32 
 
 14.18 
 
 9.38 
 
 i4.i3 
 
 9.44 
 
 14.09 
 
 9.51 
 
 14. o5 
 
 9.57 
 
 14.01 
 
 9.63 
 
 17 
 
 i8 
 
 i5.o5 
 
 9.87 
 
 iS.oi 
 
 9.93 
 
 14.97 
 
 10.00 
 
 14.92 
 
 10.07 
 
 14.88 
 
 10. i3 
 
 i4.83 
 
 10.20 
 
 18 
 
 19 
 
 15.89 
 
 10.42 
 
 1 5.84 
 
 10.49 
 
 i5.8o 
 
 10. 56 
 
 15.75 
 
 10.62 
 
 15.71 
 
 10.69 
 
 i5.66 
 
 10.76 
 
 '9 
 
 20 
 
 16.73 
 
 10.97 
 
 16.68 
 
 ii.o4 
 
 i6.63 
 
 II. II 
 
 i6.58 
 
 II. i8 
 
 16.53 
 
 11.26 
 
 16.48 
 
 11.33 
 
 20 
 
 2: 
 
 17.56 
 
 II. 5i 
 
 17.51 
 
 11.59 
 
 17.46 
 
 11.67 
 
 17.41 
 
 11.74 
 
 17.36 
 
 11.82 
 
 17.31 
 
 11.89 
 
 21 
 
 22 
 
 18.40 
 
 12.06 
 
 18.35 
 
 12. i4 
 
 18.29 
 
 12.22 
 
 18.24 
 
 12. 3o 
 
 18.18 
 
 12.38 
 
 18. i3 
 
 12.46 
 
 22 
 
 23 
 
 19.23 
 
 12.61 
 
 19.18 
 
 12.69 
 
 19.12 
 
 12.78 
 
 19.07 
 
 12.86 
 
 19.01 
 
 12.94 
 
 18.95 
 
 i3.o3 
 
 23 
 
 24 
 
 20.07 
 
 i3.i6 
 
 20.01 
 
 i3.25 
 
 19.96 
 
 i3.33 
 
 19.90 
 
 13.42 
 
 19.84 
 
 i3.5i 
 
 19.78 
 
 13.59 
 
 24 
 
 2.5 
 
 20.91 
 
 13.71 
 
 20.85 
 
 i3.8o 
 
 20.79 
 
 13.89 
 
 20.73 
 
 13.98 
 
 20.66 
 
 14.07 
 
 20.60 
 
 14.16 
 
 25 
 
 26 
 
 21.74 
 
 14.26 
 
 21.68 
 
 14.35 
 
 21.62 
 
 14.44 
 
 21.55 
 
 14.54 
 
 21.49 
 
 i4.63 
 
 21.43 
 
 14.73 
 
 26 
 
 27 
 
 22.58 
 
 14.80 
 
 22. 5i 
 
 14.90 
 
 22.45 
 
 i5.oo 
 
 22.38 
 
 i5.io 
 
 22.32 
 
 l5.20 
 
 22.25 
 
 15.29 
 
 27 
 
 28 
 
 23.42 
 
 i5.35 
 
 23.35 
 
 i5.45 
 
 23.28 
 
 i5.56 
 
 23.21 
 
 i5.66 
 
 23.14 
 
 15.76 
 
 23.08 
 
 i5.86 
 
 28 
 
 29 
 
 24.25 
 
 15.90 
 
 24.18 
 
 16.01 
 
 24.11 
 
 16.11 
 
 24.04 
 
 16.22 
 
 23.97 
 
 16.32 
 
 23.90 
 
 16.43 
 
 29 
 
 3o 
 
 25.09 
 
 16.45 
 
 25.02 
 
 i6.56 
 
 24.94 
 
 16.67 
 
 24.87 
 
 16.78 
 
 24.80 
 
 16.88 
 
 24.72 
 
 16.99 
 
 3o 
 
 3i 
 
 25.92 
 
 17.00 
 
 25.85 
 
 17. II 
 
 25.78 
 
 17.22 
 
 25.70 
 
 17.33 
 
 25.62 
 
 17.45 
 
 25.55 
 
 17.56 
 
 3i 
 
 32 
 
 26.76 
 
 17.55 
 
 26.68 
 
 17.66 
 
 26.61 
 
 17.78 
 
 26.53 
 
 17.89 
 
 26.45 
 
 18.01 
 
 26.37 
 
 18.12 
 
 32 
 
 33 
 
 27.60 
 
 18.09 
 
 27.52 
 
 18.21 
 
 27.44 
 
 18.33 
 
 27.36 
 
 18.45 
 
 27.28 
 
 18.57 
 
 27.20 
 
 18.69 
 
 33 
 
 34 
 
 28.43 
 
 18.64 
 
 28.35 
 
 18.77 
 
 28.27 
 
 18.89 
 
 28.19 
 
 19.01 
 
 28.10 
 
 19.14 
 
 28.02 
 
 19.26 
 
 34 
 
 35 
 
 29.27 
 
 19.19 
 
 29.19 
 
 19.32 
 
 29.10 
 
 19.44 
 
 29.02 
 
 19.57 
 
 28.93 
 
 19.70 
 
 28.84 
 
 19.82 
 
 35 
 
 36 
 
 3o.i I 
 
 19.74 
 
 3o.02 
 
 19.87 
 
 29.93 
 
 20.00 
 
 29.85 
 
 20. i3 
 
 29.76 
 
 20.26 
 
 29.67 
 
 20.39 
 
 36 
 
 37 
 
 30.94 
 
 20.29 
 
 30.85 
 
 20.42 
 
 30.76 
 
 20. 56 
 
 30.67 
 
 20.69 
 
 30.58 
 
 20.82 
 
 30.49 
 
 20.96 
 
 37 
 
 38 
 
 31.78 
 
 20.84 
 
 31.69 
 
 20.97 
 
 3i.6o 
 
 21.11 
 
 3i.5o 
 
 21,25 
 
 3i.4i 
 
 21.39 
 
 31.32 
 
 21.52 
 
 38 
 
 39 
 
 32.62 
 
 21.38 
 
 32.52 
 
 21.53 
 
 32.43 
 
 21.67 
 
 32.33 
 
 21.81 
 
 32.24 
 
 21.95 
 
 32.14 
 
 22.09 
 
 39 
 
 4o 
 
 33.45 
 
 21.93 
 
 33.36 
 
 22.08 
 
 33.26 
 
 22.22 
 
 33.16 
 
 22.37 
 
 33.06 
 
 28. 5l 
 
 32.97 
 
 22.66 
 
 4o 
 
 4i 
 
 34.29 
 
 22.48 
 
 34.19 
 
 22.63 
 
 34.09 
 
 22.78 
 
 33.99 
 
 22.93 
 
 33.89 
 
 23.07 
 
 33.79 
 
 23.22 
 
 4i 
 
 42 
 
 35.12 
 
 23.03 
 
 35.02 
 
 23.18 
 
 34.92 
 
 23.33 
 
 34.82 
 
 23.49 
 
 34.72 
 
 23.64 
 
 34.61 
 
 23.79 
 
 42 
 
 43 
 
 35.96 
 
 23.58: 
 
 35.86 
 
 23.73 
 
 35.75 
 
 23.89 
 
 35.65 
 
 24. o5 
 
 35.54 
 
 24.20 
 
 35.44 
 
 24.36 
 
 43 
 
 44 
 
 36.8o 
 
 24.12 
 
 36.69 
 
 24.29 
 
 36.58 
 
 24.45 
 
 36.48 
 
 24.60 
 
 36.37 
 
 24.76, 
 
 36.26 
 
 24.92 
 
 44 
 
 45 
 
 37.63 
 
 24.67' 
 
 37.52 
 
 24.84 
 
 37.42 
 
 25.00 
 
 37.31 
 
 25.16 
 
 37.20 
 
 25.33 
 
 37.09 
 
 25.49 
 
 45 
 
 46 
 
 38.47 
 
 25.22 
 
 38.36 
 
 25.39 
 
 38.25 
 
 25.56 
 
 38.14 
 
 25.72 
 
 38.02 
 
 25.89: 
 
 37.91 
 
 26.05 
 
 46 
 
 47 
 
 39.31 
 
 2577 
 
 39.19 
 
 25.94 
 
 39.08 
 
 26.11 
 
 38.96 
 
 26.28 
 
 38.85 
 
 26.45^ 
 
 38.73 
 
 26.62 
 
 47 
 
 48 
 
 4o.i4 
 
 26 32 
 
 4o.o3 
 
 26.49 
 
 39.91 
 
 26.67 
 
 39.79 
 
 26.84 
 
 39.68 
 
 27.01: 
 
 39.56 
 
 27.19 
 
 48 
 
 49 
 
 40.98 
 
 26.87 
 
 40.86 
 
 27.04 
 
 40.74 
 
 27.22 
 
 40.62 
 
 27.40 
 
 4o.5o 
 
 27.58 
 
 4o.38 
 
 27.75 
 
 49 
 
 5o 
 
 d 
 
 1 
 
 CO 
 
 Q 
 
 41.81 
 
 27.41 
 
 41.69 
 
 27.60 
 
 41.57 
 
 27.78 
 
 41.45 
 
 
 
 Dep. 
 
 27.96 
 
 41.33 
 
 28.i4| 
 
 4l.21 
 
 28.32 
 
 5o 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 c 
 
 s. 
 
 00 
 
 Q 
 
 56% Deg. 
 
 56K Deg. 
 
 56^ Deg. 
 
 56 Deg. 
 
 55% Deg. 
 
 551^ Deg. 
 
Traverse Table, 
 
 181 
 
 5 
 
 55* 
 
 a 
 o 
 9 
 
 33K Deg. 
 
 33K Deg. 
 
 33% Deg. 
 
 34 Deg. 
 
 Si% Deg. 
 
 341^ Deg. 
 
 5 
 
 1 
 
 8 
 5i 
 
 Lat. 
 
 Dep. 1 
 
 Lat. 
 
 Dep. 
 
 Lat. 1 Dep. 
 
 Lat. 
 
 42.28 
 
 Dep. 
 28.52 
 
 Lat. 
 
 Dep. 
 
 I At. 
 
 Dep. 
 28.89 
 
 5i 
 
 42.65 
 
 27.96 
 
 42.53 
 
 28.15 
 
 42.40 
 
 28.33 
 
 42.16 
 
 28.70 
 
 42.03 
 
 52 
 
 43.49 
 
 28.51 
 
 43.36 
 
 28.70 
 
 43.24 
 
 28.89 
 
 43.11 
 
 29.08 
 
 42.98 
 
 29.27 
 
 42.85 
 
 29.45 
 
 52 
 
 53 
 
 44.32 
 
 29.06 
 
 44.20 
 
 29.25 
 
 44.07 
 
 29.45 
 
 43.94 
 
 29.64 
 
 43.81 
 
 29.83 
 
 43.68 
 
 3o.02 
 
 53 
 
 54 
 
 45.16 
 
 29.61 
 
 45.o3 
 
 29.80 
 
 44.90 
 
 3o.oo 
 
 44.77 
 
 3o.20 
 
 44.64 
 
 30.39 
 
 44.5o 
 
 30.59 
 
 54 
 
 55 
 
 46.00 
 
 3o.i6 
 
 45.86 
 
 3o.36 
 
 45.73 
 
 3o.56 
 
 45.60 
 
 30.76 
 
 45.46 
 
 30.95 
 
 45.33 
 
 3i.i5 
 
 55 
 
 56 
 
 46.83 
 
 30.70 
 
 46.70 
 
 30.91 
 
 46.56 
 
 3i.ii 
 
 46.43 
 
 3i.3i 
 
 46.29 
 
 31.52 
 
 46. 1 5 
 
 31.72 
 
 56 
 
 5? 
 
 47.67 
 
 31.25 
 
 47.53 
 
 31.46 
 
 47.39 
 
 31.67 
 
 47.26 
 
 31.87 
 
 47.12 
 
 32.08 
 
 46.98 
 
 32.29 
 
 57 
 
 58 
 
 48. 5o 
 
 3i.8o 
 
 48.37 
 
 32. 01 
 
 48.23 
 
 32.22 
 
 48.08 
 
 32.43 
 
 47.94 
 
 32.64 
 
 47.80 
 
 32.85 
 
 58 
 
 59 
 
 49.34 
 
 32.35 
 
 49.20 
 
 32.56 
 
 49.06 
 
 32.78 
 
 48.91 
 
 32.99 
 
 48.77 
 
 33.21 
 
 48.62 
 
 33.42 
 
 59 
 
 6o 
 
 5o.i8 
 
 32.90 
 
 5o.o3 
 
 33.12 
 
 49.89 
 
 33.33 
 
 49.74 
 
 33.55 
 
 49.60 
 
 33.77 
 
 49.45 
 
 33.98 
 
 60 
 
 6i 
 
 5i.oi 
 
 33.45 
 
 50.87 
 
 33.67 
 
 50.72 
 
 33.89 
 
 50.57 
 
 34.11 
 
 5o.42 
 
 34.33 
 
 5o.27 
 
 34.55 
 
 61 
 
 62 
 
 5i.85 
 
 33.99 
 
 51.70 
 
 34.22 
 
 5i.55 
 
 34.45 
 
 5i.4o 
 
 34.67 
 
 5i.25 
 
 34.89 
 
 5i.io 
 
 35.12 
 
 62 
 
 63 
 
 52.69 
 
 34.54 
 
 52.53 
 
 34.77 
 
 52.38 
 
 35.00 
 
 52.23 
 
 35.23 
 
 52.08 
 
 35.46 
 
 51.92 
 
 35.68 
 
 63 
 
 64 
 
 53.52 
 
 35.09 
 
 53.37 
 
 35.32 
 
 53.21 
 
 35.56 
 
 53.06 
 
 35.79 
 
 52.90 
 
 36. 02 
 
 52.74 
 
 36.25 
 
 64 
 
 65 
 
 54.36 
 
 35.64 
 
 54.20 
 
 35.88 
 
 54.o5 
 
 36.11 
 
 53.89 
 
 36.35 
 
 53.73 
 
 36.58 
 
 53.57 
 
 36.82 
 
 65 
 
 66 
 
 55.19 
 
 36.19 
 
 55.04 
 
 36.43 
 
 54.88 
 
 36.67 
 
 54.72 
 
 36.91 
 
 54.55 
 
 37.15 
 
 54.39 
 
 37.38 
 
 66 
 
 67 
 
 56. o3 
 
 36.74 
 
 55.87 
 
 36.98 
 
 55.71 
 
 37.22 
 
 55.55 
 
 37.46 
 
 55.38 
 
 37.71 
 
 55.22 
 
 37.95 
 
 67 
 
 68 
 
 56.87 
 
 37.28 
 
 56.70 
 
 37.53 
 
 56.54 
 
 37.78 
 
 56.37 
 
 38. o3 
 
 56.21 
 
 38.27 
 
 56.04 
 
 38.52 
 
 68 
 
 69 
 
 57.70 
 
 37.83 
 
 57.54 
 
 38.o8 
 
 57.37 
 
 38.33 
 
 57.20 
 
 38.58 
 
 57.03 
 
 38.83 
 
 56.86 
 
 39.08 
 
 69 
 
 70 
 
 58.54 
 
 38.38 
 
 58.37 
 
 38.64 
 
 58.20 
 
 38.89 
 
 58.o3 
 
 39.14 
 
 57.86 
 
 39.40 
 
 57.69 
 
 39.65 
 
 70 
 
 71 
 
 59.38 
 
 38.93 
 
 59.21 
 
 39.19 
 
 59.03 
 
 39.45 
 
 58.86 
 
 39.70 
 
 58.69 
 
 39.96 
 
 58.5i 
 
 40.21 
 
 7' 
 
 72 
 
 60.21 
 
 39.48 
 
 60. o4 
 
 39.74 
 
 59.87 
 
 4o.oo 
 
 59.69 
 
 40.26 
 
 59.51 
 
 4o.52 
 
 59.34 
 
 40.78 
 
 72 
 
 73 
 
 61. o5 
 
 4o.o3 
 
 60.87 
 
 40.29 
 
 60.70 
 
 4o.56i|6o.52 
 
 40.82 
 
 60.34 
 
 41.08 
 
 60.16 
 
 41.35 
 
 73 
 
 74 
 
 61.89 
 
 40.57 
 
 61.71 
 
 40.84 
 
 61.53 
 
 4i.i I 
 
 61.35 
 
 41.38 
 
 61.17 
 
 41.65 
 
 60.99 
 
 41.91 
 
 74 
 
 75 
 
 62.72 
 
 4r.i2 
 
 62.54 
 
 4i.4o 
 
 62.36 
 
 41.67 
 
 62.18 
 
 41.94 
 
 61.99 
 
 42.21 
 
 61.81 
 
 42.48 
 
 75 
 
 76 
 
 63.56 
 
 41.67 
 
 63.38 
 
 41.95 
 
 63.19 
 
 42.22 
 
 63.01 
 
 42. 5o 
 
 62.82 
 
 42.77 
 
 62.63 
 
 43.o5 
 
 76 
 
 77 
 
 64.39 
 
 42.22 
 
 64.21 
 
 42. 5o 
 
 64.02 
 
 42.78 
 
 63.84 
 
 43.06 
 
 63.65 
 
 43.34 
 
 63.46 
 
 43.61 
 
 77 
 
 78 
 
 65.23 
 
 42.77 
 
 65. o4 
 
 43. o5 
 
 64.85 
 
 43.33 
 
 64.66 
 
 43.62 
 
 64.47 
 
 43.90 
 
 64.28 
 
 44.18 
 
 78 
 
 79 
 
 66.07 
 
 43.32 
 
 65.88 
 
 43.60 
 
 65.69 
 
 43.89 
 
 65.49 
 
 44.18 
 
 65. 3o 
 
 44.46 
 
 65.11 
 
 44.75 
 
 79 
 
 80 
 
 66.90 
 
 43.86 
 
 66.71 
 
 44.15 
 
 66.52 
 
 44.45 
 
 66.32 
 
 44.74 
 
 66.13 
 
 45.02 
 
 65.93 
 
 45.3i 
 
 80 
 
 81 
 
 67.74 
 
 44.41 
 
 67.54 
 
 44.71 
 
 67.35 
 
 45.00 
 
 67.15 
 
 45.29 
 
 66.95 
 
 45.59 
 
 66.75 
 
 45.88 
 
 81 
 
 82 
 
 68.58 
 
 44.96 
 
 68.38 
 
 45.26 
 
 68.18 
 
 45.56 
 
 67.98 
 
 45.85 
 
 67.78 
 
 46.i5 
 
 67.58 
 
 46.45 
 
 82 
 
 83 
 
 69.41 
 
 45. 5i 
 
 69.21 
 
 45.81 
 
 69.01 
 
 46.11 
 
 68.81 
 
 46.4i 
 
 68.61 
 
 46.71 
 
 ,68.40 
 
 47.01 
 
 83 
 
 84 
 
 70.25 
 
 46.06 
 
 70.05 
 
 46.36 
 
 69.84 
 
 46. O7 
 
 69.64 
 
 46.97 
 
 69.43 
 
 47.28 
 
 '69.23 
 
 47.58 
 
 84 
 
 85 
 
 71.08 
 
 46.60 
 
 70.88 
 
 46.91 
 
 70.67 
 
 47.22 
 
 70.47 
 
 47.53 
 
 70.26 
 
 47.84 
 
 70.05 
 
 48.14 
 
 85 
 
 86 
 
 71.92 
 
 47.15 
 
 71.71 
 
 47.47 
 
 71. 5i 
 
 47.78 
 
 71.30 
 
 48.09 
 
 71.09 
 
 48.4o 
 
 70.87 
 
 48.71 
 
 86 
 
 87 
 
 72.76 
 
 47.70 
 
 72.55 
 
 48.02 
 
 72.34 
 
 48.33 
 
 72.13 
 
 48.65 
 
 71.91 
 
 48.96 
 
 71.70 
 
 49.28 
 
 87 
 
 88 
 
 73.59 
 
 48.25 
 
 73.38 
 
 48.57 
 
 73.17 
 
 48.89 
 
 72.96 
 
 49.21 
 
 72.74 
 
 49.53 
 
 72.52 
 
 49.84 
 
 88 
 
 89 
 
 74.43 
 
 48.80 
 
 74.22 
 
 49.12 
 
 74.00 
 
 49.45 
 
 73.78 
 
 49-77 
 
 73.57 
 
 50.09 
 
 73.35 
 
 5o.4i 
 
 89 
 
 90 
 
 75.27 
 
 49.35 
 
 75.05 
 
 49.67 
 
 74.83 
 
 So.oo 
 
 74.61 
 
 5o.33 
 
 74.39 
 
 5o.65 
 
 74.17 
 
 50.98 
 
 90 
 
 9^ 
 
 76.10 
 
 49.89 
 
 75.88 
 
 5o.23 
 
 75.66 
 
 50.56 
 
 75.44 
 
 50.89 
 
 75.22 
 
 5l.22 
 
 75.00 
 
 5i.54 
 
 9' 
 
 92 
 
 76.94 
 
 5o.44 
 
 76.72 
 
 50.78 
 
 76.50 
 
 5i.ii 
 
 76.27 
 
 5i.45 
 
 76.05 
 
 51.78 
 
 75.82 
 
 52.11 
 
 92 
 
 93 
 
 77-77 
 
 50.99 
 
 77.55 
 
 5i.33 
 
 77.33 
 
 51.67 
 
 77.10 
 
 52.00 
 
 76.87 
 
 52.34 
 
 76.64 
 
 52.68 
 
 93 
 
 / 
 
 94 
 
 78.61 
 
 5i.54 
 
 78.39 
 
 5i.88 
 
 78.16 
 
 52.22 
 
 77.93 
 
 52.56 
 
 77.70 
 
 52.90 
 
 77-47 
 
 53.24 
 
 ^i 
 
 95 
 
 79-45 
 
 52.09 
 
 79.22 
 
 52.43 
 
 78.99 
 
 52.78 
 
 78.76 
 
 53.12 
 
 78.53 
 
 53.47 
 
 78.29 
 
 53.81 
 
 95 
 
 96 
 
 97 
 98 
 
 99 
 
 lOO 
 
 o5 
 
 a 
 a 
 to 
 
 (5 
 
 80.28 
 
 52.64 
 
 80. o5 
 
 52.99 
 
 79.82 
 
 53.33 
 
 79.59 
 
 53.68 
 
 79.35 
 
 54.o3 
 
 79.12 
 
 54.37 
 
 96 
 
 81,12 
 
 53.18 
 
 80.89 
 
 53.54 
 
 80.65 
 
 53.89 
 
 80.42 
 
 54.24 
 
 80.18 
 
 54.59 
 
 79-94 
 
 54.94 
 
 97 
 
 81.96 
 
 53.73 
 
 81.72 
 
 54.09 
 
 81.48 
 
 54.45 
 
 81.25 
 
 54.80 
 
 81.01 
 
 55. i5 
 
 80.76 
 
 55. 5i 
 
 98 
 
 82.7^ 
 83.6:: 
 
 / 54.28 
 
 82.55 
 
 54.64 
 
 82.32 
 
 55.00 
 
 82.07 
 
 55.36 
 
 8i.83 
 
 55.72 '81.59:50.07 
 
 99 
 
 ! 54.83 
 
 83.39 
 
 55.19 
 
 83.i5 
 
 55.56 
 
 Lat. 
 
 82.90 
 
 55.92 
 
 82.66 
 
 56.28 
 
 82.41 5b.04 
 
 100 
 
 i 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Dep. 
 
 1 Lat. 
 
 Dep. 
 
 Lat 
 
 Dep. 1 lAt. 
 
 56,^^ Deg. 
 
 561^ Deg. 
 
 56% Deg. 
 
 56 Deg. 
 
 55% Deg. 
 
 55K Deg. 
 
182 
 
 
 
 
 T 
 
 RAVEESE Table. 
 
 
 
 . 
 
 
 a 
 n 
 a 
 
 34% Deg. 
 
 35 Deg. 
 
 35K Deg. 
 
 35% Deg. 
 
 35% Deg. 
 
 36 Deg. 
 
 
 
 B 
 a 
 
 <D 
 
 Lat. 
 
 Uep. 
 
 0.57 
 
 Lat. 
 
 Dep 
 0.57 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 1 Dep. 
 
 I 
 
 0.82 
 
 0.82 
 
 0.82 
 
 0.58 
 
 0.81 
 
 0.58 
 
 0.81 
 
 0.58 
 
 0.81 
 
 0.59 
 
 I 
 
 2 
 
 1.64 
 
 i.i4 
 
 1.64 
 
 I.l5 
 
 1.63 
 
 i.i5 
 
 1.63 
 
 1. 16 
 
 1.62 
 
 1.17 
 
 1.62 
 
 1. 18 
 
 2 
 
 3 
 
 2.46 
 
 1.7-I 
 
 2.46 
 
 1.72 
 
 2.45 
 
 1.73 
 
 2.44 
 
 1.74 
 
 2.43 
 
 1.75 
 
 2.43 
 
 1.76 
 
 3 
 
 4 
 
 3.29 
 4.11 
 
 2.28 
 
 3.28 
 
 2.29 
 
 3.27 
 
 2.3l 
 
 3.26 
 
 2.32 
 
 3.25 
 
 2.34 
 
 3.24 
 
 2.35 
 
 4 
 
 5 
 
 2.85 
 
 4.10 
 
 2.87 
 
 4.08 
 
 2.89 
 
 4.07 
 
 2.90 
 
 4.06 
 
 2.92 
 
 4.o5 
 
 2.94 
 
 5 
 
 6 
 
 4.93 
 
 3.42 
 
 4.91 
 
 3.44 
 
 4.90 
 
 3.46 
 
 4.88 
 
 3.48 
 
 4.87 
 
 3.5i 
 
 4.85 
 
 3.53 
 
 6 
 
 7 
 8 
 
 ^ 7 
 
 5.75 
 
 3.99 
 
 5.73 
 
 4.01 
 
 5.72 
 
 4.04 
 
 5.70 
 
 4.06 
 
 5.68 
 
 4.09 
 
 5.66 
 
 4. II 
 
 7 
 
 6.57 
 
 4.56 
 
 6.55 
 
 4.59 
 
 6.53 
 
 4.62 
 
 6.5i 
 
 4.65 
 
 6.49 
 
 4.67 
 
 6.47 
 
 4.70 
 
 8 
 
 9 
 
 lO 
 
 7.39 
 
 5.i3 
 
 7.37 
 
 5.16 
 
 7.35 
 
 5.19 
 
 7.33 
 
 5.23 
 
 7.3o 
 
 5.26 
 
 7.28 
 
 5.29 
 
 9 
 
 8.22 
 
 5.70 
 
 8.19 
 
 5.74 
 
 8.17 
 
 5.77 
 
 8.i4 
 
 5.81 
 
 8.12 
 
 5.84 
 
 8.09 
 
 5.88 
 
 10 
 
 1 1 
 
 9.04 
 
 6.27 
 
 9.01 
 
 6.3i 
 
 8.98 
 
 6.35 
 
 8.96 
 
 6.39 
 
 8.93 
 
 6.43 
 
 8.90 
 
 6.47 
 
 II 
 
 12 
 
 9.86 
 
 6.84 
 
 9.83 
 
 6.88 
 
 9.80 
 
 6.93 
 
 9-77 
 
 6.97 
 
 9-74 
 
 7.01 
 
 9.71 
 
 7.o5 
 
 12 
 
 i3 
 
 10.68 
 
 7-41 
 
 10. 65 
 
 7.46 
 
 10.62 
 
 7.50 
 
 10. 58 
 
 7.55 
 
 10.55 
 
 7.60 
 
 10.52 
 
 7.64 
 
 i3 
 
 i4 
 
 II. 5o 
 
 7.98 
 
 11.47 
 
 8.o3| 
 
 11.43 
 
 8.08 
 
 I i.4o 
 
 8.i3 
 
 11.36 
 
 8.18 
 
 11.33 
 
 8.23 
 
 i4 
 
 i5 
 
 12.32 
 
 8.55 
 
 12.29 
 
 8.60 
 
 12.25 
 
 8.66 
 
 12.21 
 
 8.71 
 
 12.17 
 
 8.76 
 
 12. i4 
 
 8.82 
 
 i5 
 
 i6 
 
 i3.i5 
 
 9.12 
 
 i3.ii 
 
 9.18 
 
 13.07 
 
 9.23 
 
 i3.o3 
 
 9.29 
 
 12.99 
 
 9.35 
 
 12.94 
 
 9.40 
 
 16 
 
 17 
 
 13.97 
 
 9.69 
 
 13.93 
 
 9.75 
 
 13.88 
 
 9.81 
 
 i3.84 
 
 9.87 
 
 i3.8o 
 
 9.93 
 
 13.75 
 
 9-99 
 
 17 
 
 18 
 
 14.79 
 
 10.26 
 
 14.74 
 
 10. 32 
 
 14.70 
 
 10.39 
 
 i4.65 
 
 10.45 
 
 i4.ei 
 
 10. 52 
 
 i4.56 
 
 10. 58 
 
 18 
 
 19 
 
 i5.6i 
 
 I0.83 
 
 i5.56 
 
 10.90 
 
 i5.52 
 
 10.97 
 
 i5.47 
 
 ii.o3 
 
 i5.42 
 
 II. 10 
 
 15.37 
 
 11.17 
 
 19 
 
 7 
 
 20 
 
 16.43 
 
 II. 4o 
 
 16. 38 
 
 11.47 
 
 16.33 
 
 11.54 
 
 16.28 
 
 II. 61 
 
 16.23 
 
 1I.6^ 
 
 16.18 
 
 11.76 
 
 20 
 
 21 
 
 17.25 
 
 11.97 
 
 17.20 
 
 12. o5 
 
 17.15 
 
 12.12 
 
 17.10 
 
 12.19 
 
 17.04 
 
 12.27 
 
 16.99 
 
 12.34 
 
 21 
 
 22 
 
 18.08 
 
 12.54 
 
 18.02 
 
 12.62 
 
 17-97 
 
 12.70 
 
 17.91 
 
 12.78 
 
 17.85 
 
 12.85 
 
 17.80 
 
 12.93 
 
 22 
 
 23 
 
 18.90 
 
 i3.ii 
 
 18.84 
 
 13.19 
 
 18.78 
 
 13.27 
 
 18.72 
 
 13.36 
 
 18.67 
 
 13.44 
 
 18.61 
 
 i3.52 
 
 23 
 
 24 
 
 19.72 
 
 i3.68 
 
 19.66 
 
 i3.77 
 
 19.60 
 
 i3.85 
 
 19.54 
 
 13.94 
 
 19.48 
 
 14.02 
 
 19.42 
 
 i4.i I 
 
 24 
 
 25 
 
 20.54 
 
 i4.25 
 
 20.48 
 
 14.34 
 
 20.42 
 
 14.43 
 
 20.35 
 
 14.52 
 
 20.29 
 
 14.61 
 
 20.23 
 
 14.69 
 
 25 
 
 26 
 
 2 1.36 
 
 14.82 
 
 2i.3o 
 
 14.91 
 
 21.23 
 
 i5.oi 
 
 21.17 
 
 i5.io 
 
 21.10 
 
 15.19 
 
 21. o3 
 
 15.28 
 
 26 
 
 27 
 
 22.18 
 
 15.39 
 
 22.12 
 
 i5.49 
 
 22. o5 
 
 i5.58 
 
 21.98 
 
 i5.68 
 
 21.91 
 
 i5.77 
 
 21.84 
 
 15.87 
 
 27 
 
 28 
 
 23.01 
 
 15.96 
 
 22.94 
 
 16.06 
 
 22.87 
 
 16.16 
 
 22.80 
 
 16.26 
 
 22.72 
 
 i6.36 
 
 22.65 
 
 16.46 
 
 28 
 
 29 
 
 23.83 
 
 16.53 
 
 23.76 
 
 i6.63 
 
 23.68 
 
 16.74 
 
 23.61 
 
 16.84 
 
 23.54 
 
 16.94 
 
 23.46 
 
 17.05 
 
 29 
 
 So 
 
 24.65 
 
 17.10 
 
 24.57 
 
 17.21 
 
 24. 5o 
 
 17.31 
 
 24.42 
 
 17.42 
 
 24.35 
 
 17.53 
 
 24.27 
 
 17.63 
 
 3o 
 
 3i 
 
 25.47 
 
 17.67 
 
 25.39 
 
 17.78 
 
 25.32 
 
 17.89 
 
 25.24 
 
 18.00 
 
 25.16 
 
 18.11 
 
 25.08 
 
 18.22 
 
 3i 
 
 32 
 
 26.29 
 
 18.24 
 
 26.21 
 
 18.35 
 
 26.13 
 
 18.47 
 
 26.05 
 
 18. 58 
 
 25.97 
 
 18.70 
 
 25.89 
 
 18.81 
 
 32 
 
 33 
 
 27.11 
 
 18.81 
 
 27.03 
 
 18.93 
 
 26.95 
 
 19.05 
 
 26.87 
 
 19.16 
 
 26.78 
 
 19.28 
 
 26.70 
 
 19.40 
 
 33 
 
 34 
 
 27.94 
 
 19.38 
 
 27.85 
 
 19.50 
 
 27.77 
 
 19.62 
 
 27.68 
 
 19.74 
 
 27.59 
 
 19.86 
 
 27.51 
 
 19.98 
 
 34 
 
 35 
 
 28.76 
 
 19.95 
 
 28.67 
 
 20.08 
 
 28.58 
 
 20.20 
 
 28.49 
 
 20.32 
 
 28.41 
 
 2oA^ 
 
 28.32 
 
 20.57 
 
 35 
 
 36 
 
 29.58 
 
 20.52 
 
 29.49 
 
 20. 65 
 
 29.40 
 
 20.78 
 
 29.31 
 
 20.91 
 
 29.22 
 
 21. o3 
 
 29.12 
 
 21.16 
 
 36 
 
 37 
 
 3o.4o 
 
 21.09 
 
 3o.3i 
 
 21.22 
 
 3o.22 
 
 21.35 
 
 3o.I2 
 
 21.49 
 
 3o.o3 
 
 21.62 
 
 29 93 
 
 21.75 
 
 37 
 
 38 
 
 3l.22 
 
 21.66 
 
 3i.i3 
 
 21.80 
 
 3i.o3 
 
 21.93 
 
 30.94 
 
 22.07 
 
 3o.84 
 
 22.20 
 
 30.74 
 
 22.34 
 
 38 
 
 39 
 
 32.04 
 
 22.23 
 
 31.95 
 
 22.37 
 
 31.85 
 
 22. 5i 
 
 31.75 
 
 22.65 
 
 31.65 
 
 22.79 
 
 31.55 
 
 22.92 
 
 39 
 
 4o 
 
 32.87 
 
 22.80 
 
 32.77 
 
 22.94 
 
 32.67 
 
 23.09 
 
 32.56 
 
 23.23 
 
 32.46 
 
 23.37 
 
 32.36 
 
 23. 5i 
 
 4o 
 
 4i 
 
 33.69 
 
 23.37 
 
 33.59 
 
 23.52 
 
 33.48 
 
 23.66 
 
 33.38 
 
 23.81 
 
 33.27 
 
 23.95 
 
 33.17 
 
 24.10 
 
 4i 
 
 42 
 
 34. 5i 
 
 23.94 
 
 34.40 
 
 24.09 
 
 34. 3o 
 
 24.24 
 
 34.19 
 
 24.39 
 
 34.09 
 
 24.54 
 
 33.98 
 
 24.69 
 
 42 
 
 43 
 
 35.33 
 
 24. 5i 
 
 35.22 
 
 24.66 
 
 35.12 
 
 24.82 
 
 35.01 
 
 24.97 
 
 34.90 
 
 25.12 
 
 34.79 
 
 25.27 
 
 43 
 
 44 
 
 36 i5 
 
 25.08 
 
 36.o4 
 
 25.24 
 
 35.93 
 
 25.39 
 
 35.82 
 
 25.55 
 
 35.71 
 
 25.71 
 
 35.60 
 
 25.86 
 
 44 
 
 45 
 
 36.97 
 
 25.65 
 
 36.86 
 
 25.81 
 
 36.75 
 
 25.97 
 
 36.64 
 
 26.13 
 
 36.52 
 
 26.29 
 
 36.4i 
 
 26.45 
 
 45 
 
 46 
 
 37.80 
 
 26.22 
 
 37.68 
 
 26.38 
 
 37.57 
 
 26.55 
 
 37.45 
 
 26.71 
 
 37.33 
 
 26.88 
 
 37.21 
 
 27.04 
 
 46 
 
 47 
 
 38.62 
 
 26.79 
 
 38. 5o 
 
 26,96 
 
 38.38 
 
 27.13 
 
 38.26 
 
 27.29 
 
 38.14 
 
 27.46 
 
 38.02 
 
 27.63 
 
 47 
 
 48 
 
 39.44 
 
 27.36 
 
 39.32 
 
 27.53 
 
 39,20 
 
 27.70 
 
 39.08 
 
 27.87 
 
 38.96 
 
 28.04 
 
 38.83 
 
 28.21 
 
 48 
 
 49 
 
 40.26 
 
 27.93 
 
 4o.i4 
 
 28.11 
 
 4o.02 
 
 28.28 
 
 39.89 
 
 28.45 
 
 39.77 
 
 28.63 
 
 39,64 
 
 28.80 
 
 49 
 
 5o 
 
 41.08 
 
 28.5o 140.96 
 
 28.68 
 
 4o,83 
 
 28.86 
 
 40.71 
 
 29.04 
 
 40.58 
 
 29.21 
 
 40.45 
 
 29.39 
 
 5o 
 
 Ml 
 
 
 8 
 1 
 
 m 
 
 a 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat, 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 551^ Deg. 
 
 55 Deg. 
 
 54% Deg. 
 
 543^ 
 
 Deg. 
 
 54% Deg. 
 
 54 Deg. 
 
Traverse Table. 
 
 183 
 
 a 
 
 a 
 n 
 p 
 
 34% Deg. 
 
 35 Deg. 
 
 35% Deg. 
 
 351^ Deg. 
 
 35% Deg. 
 
 36 Deg. 
 
 00 
 
 1 
 
 s 
 
 5i 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 41.78 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 I At. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 5i 
 
 41.90 
 
 29.07 
 
 29.35 
 
 41.65 
 
 29,43 
 
 41.52 
 
 29.62 
 
 41.39 
 
 29.80 
 
 41.26 
 
 29.98 
 
 52 
 
 42.73 
 
 29.64 
 
 42.60 
 
 29.83 
 
 42.47 
 
 3o,oi 
 
 42.33 
 
 3o,20 
 
 42.20 
 
 30.38 
 
 42.07 
 
 3o.56 
 
 52 
 
 53 
 
 43.55 
 
 3o.2I 
 
 43.42 
 
 3o.4o 
 
 43.28 
 
 30,59 
 
 43. i5 
 
 30.78 
 
 43.01 
 
 30.97 
 
 42.88 
 
 3i.i5 
 
 53 
 
 54 
 
 44.37 
 
 30.78 
 
 44.23 
 
 30.97 
 
 44.10 
 
 3i,i7 
 
 43.96 
 
 31.36 
 
 43.82 
 
 3i,55 
 
 43.69 
 
 31.74 
 
 54 
 
 55 
 
 45.19 
 
 31.35 
 
 45. o5 
 
 3i.55 
 
 44.92 
 
 31.74 
 
 44.78 
 
 31.94 
 
 44.64 
 
 32.13 
 
 44. 5o 
 
 32.33 
 
 55 
 
 56 
 
 46.01 
 
 31.92 
 
 45.87 
 
 32.12 
 
 45.73 
 
 32.32 
 
 45.59 
 
 32.52 
 
 45.45 
 
 32.72 
 
 45. 3o 
 
 32.92 
 
 56 
 
 57 
 
 46.83 
 
 32.49 
 
 46.69 
 
 32.69 
 
 46.55 
 
 32.90 
 
 46,4o 
 
 33.10 
 
 46.26 
 
 33. 3o 
 
 46.11 
 
 33. 5o 
 
 57 
 
 58 
 
 47.66 
 
 33.06 
 
 47.51 
 
 33.27 
 
 47.37 
 
 33.47 
 
 47.22 
 
 33.68 
 
 47.07 
 
 33.89 
 
 46.92 
 
 34.09 
 
 58 
 
 59 
 
 48.48 
 
 33.63 
 
 48.33 
 
 33.84 
 
 48.18 
 
 34.05 
 
 48.03 
 
 34.26 
 
 47.88 
 
 34.47 
 
 47.73 
 
 34.68 
 
 59 
 
 60 
 
 49.30 
 
 34.20 
 
 49.15 
 
 34.41 
 
 49.00 
 
 34.63 
 
 48.85 
 
 34.84 
 
 48.69 
 
 35, o5 
 
 48.54 
 
 35.27 
 
 60 
 
 6f 
 
 5o.I2 
 
 34.77 
 
 49.97 
 
 34.99 
 
 49.82 
 
 35.21 
 
 49,66 
 
 35.42 
 
 49.51 
 
 35.64 
 
 49.35 
 
 35.85 
 
 61 
 
 62 
 
 50.94 
 
 35.34 
 
 50.79 
 
 35.56 
 
 5o.63 
 
 35.78 
 
 5o,48 
 
 36. 00 
 
 5o.32 
 
 36.22 
 
 5o,i6 
 
 36.44 
 
 62 
 
 63 
 
 51.76 
 
 35.91 
 
 5i.6i 
 
 36.14 
 
 5i.45 
 
 36.36 
 
 51.29 
 
 36.58 
 
 5i.i3 
 
 36.8i 
 
 50.97 
 
 37.03 
 
 63 
 
 64 
 
 52.59 
 
 36.48 
 
 52.43 
 
 36.71 
 
 52.27 
 
 36.94 
 
 52, 10 
 
 37.16 
 
 51.94 
 
 37-39 
 
 51.78 
 
 37.62 
 
 64 
 
 65 
 
 53.41 
 
 37.05 
 
 53.24 
 
 37.28 
 
 53.08 
 
 37,51 
 
 52.92 
 
 37.75 
 
 52,75 
 
 37.98 
 
 52.59 
 
 38.21 
 
 65 
 
 66 
 
 54.23 
 
 37.62 
 
 54.06 
 
 37.86 
 
 53.90 
 
 38,09 
 
 53.73 
 
 38.33 
 
 53.56 
 
 38.56 
 
 53.4o 
 
 38.79 
 
 66 
 
 67 
 
 55.o5 
 
 38.19 
 
 54.88 
 
 38.43 
 
 54.71 
 
 38,67 
 
 54,55 
 
 38.91 
 
 54,38 
 
 39.14 
 
 54.20 
 
 39.38 
 
 67 
 
 68 
 
 55.87 
 
 38.76 
 
 55.70 
 
 39.00 
 
 55.53 
 
 39,25 
 
 55,36 
 
 39.49 
 
 55.19 
 
 39.73 
 
 55,01 
 
 39.97 
 
 68 
 
 69 
 
 56.69 
 
 39.33 
 
 56.52 
 
 39.58 
 
 56.35 
 
 39.82 
 
 56.17 
 
 40.07 
 
 56, 00 
 
 4o,3i 
 
 55.82 
 
 4o.56 
 
 69 
 
 70 
 
 57.52 
 
 39.90 
 
 57.34 
 
 4o,i5 
 
 57.16 
 
 4o,4o 
 
 56.99 
 
 4o.65 
 
 56.8i 
 
 40.90 
 
 56.63 
 
 4i.i4 
 
 70 
 
 71 
 
 58.34 
 
 40,47 
 
 58.16 
 
 40.72 
 
 57.98 
 
 40,98 
 
 57.80 
 
 41.23 
 
 57.62 
 
 41.48 
 
 57.44 
 
 41.73 
 
 71 
 
 72 
 
 59.16 
 
 4i.o4 
 
 58.98 
 
 4i.3o 
 
 58. 80 
 
 41.55 
 
 58.62 
 
 41.81 
 
 58,43 
 
 42.07 
 
 58.25 
 
 42.32 
 
 72 
 
 73 
 
 59.98 
 
 41.61 
 
 59.80 
 
 41.87! 
 
 59.61 
 
 42, i3 
 
 59.43 
 
 42.39 
 
 59.24 
 
 42.65 
 
 59.06 
 
 42.91 
 
 73 
 
 74 
 
 60.80 
 
 42.18 
 
 60.62 
 
 42.44 
 
 60.43 
 
 42,71 
 
 60.24 
 
 42.97 
 
 60.06 
 
 43.23 
 
 59.87 
 
 43. 5o 
 
 74 
 
 75 
 
 61.62 
 
 42.75 
 
 61.44 
 
 43.02 
 
 6[,25 
 
 43,29 
 
 61,06 
 
 43.55 
 
 60.87 
 
 43.82 
 
 60.68 
 
 44.08 
 
 75 
 
 76 
 
 62.45 
 
 43.32 
 
 62.26 
 
 43.59 
 
 62.06 
 
 43,86 
 
 61.87 
 
 44.13 
 
 61.68 
 
 44.40 
 
 61.49 
 
 44.67 
 
 76 
 
 77 
 
 63.27 
 
 43.89 
 
 63.07 
 
 44.17 
 
 62.88 
 
 44.44 
 
 62.69 
 
 44.71 
 
 62.49 
 
 44.99 
 
 62.29 
 
 45.26 
 
 77 
 
 78 
 
 64.09 
 
 44.46 
 
 63.89 
 
 44.74 
 
 63.70 
 
 45,02 
 
 63.5o 
 
 45.29 
 
 63.3o 
 
 45.57 
 
 63. 10 
 
 45.85 
 
 78 
 
 79 
 
 64.91 
 
 45.03 
 
 64.71 
 
 45. 3i 
 
 64. 5i 
 
 45.59 
 
 64,32 
 
 45.88 
 
 64.11 
 
 46.16 
 
 63.91 
 
 46.43 
 
 79 
 
 80 
 
 65.73 
 
 45.60 
 
 65.53 
 
 45.89 
 
 65.33 
 
 46,17 
 
 65.13 
 
 46.46 
 
 64.93 
 
 46.74 
 
 64.72 
 
 47.02 
 
 80 
 
 81 
 
 66.55 
 
 46.17 
 
 66.35 
 
 46.46 
 
 66. i5 
 
 46.75 
 
 65.94 
 
 47.04 
 
 65.74 
 
 47.32 
 
 65.53 
 
 47.61 
 
 81 
 
 82 
 
 67.37 
 
 46.74 
 
 67.17 
 
 47.03 
 
 66.96 
 
 47.33 
 
 66.76 
 
 47.62 
 
 66.55 
 
 4791 
 
 66.34 
 
 48.20 
 
 82 
 
 83 
 
 68.20 
 
 47.31 
 
 67.99 
 
 47.61 
 
 67.78 
 
 47.90 
 
 67.57 
 
 48.20 
 
 67.36 
 
 48.49 
 
 67.15 
 
 48.79 
 
 83 
 
 84 
 
 69.02 
 
 47.88 
 
 68.81 
 
 48.18 
 
 68.60 
 
 48.48 
 
 68,39 
 
 48.78 
 
 68.17 
 
 49.08 
 
 67.96 
 
 49.37 
 
 84 
 
 85 
 
 69.84 
 
 48.45 
 
 69.63 
 
 48.75 
 
 69,41 
 
 49,06 
 
 69,20 
 
 49-36 
 
 68.98 
 
 49.66 
 
 68.77 
 
 49.96 
 
 85 
 
 86 
 
 70.66 
 
 49.02 
 
 70.45 
 
 49.33 
 
 70.23 
 
 49.63 
 
 70,01 
 
 49.94 
 
 69.80 
 
 5o.25 
 
 69.58 
 
 5o.55 
 
 86 
 
 87 
 
 71.48 
 
 49.59 
 
 71.27 
 
 49.90 
 
 71.05 
 
 5o.2I 
 
 70.83 
 
 5o.52 
 
 70.61 
 
 5o.83 
 
 70.38 
 
 5i.i4 
 
 87 
 
 88 
 
 72.30 
 
 5o.i6 
 
 72.09 
 
 5o.47 
 
 71.86 
 
 50.79 
 
 71.64 
 
 Si.io 
 
 71.42 
 
 5i.4i 
 
 71.19 
 
 51.73 
 
 88 
 
 89 
 
 73.13 
 
 50.73 
 
 72.90 
 
 5i.o5 
 
 72.68 
 
 51.37 
 
 72.46 
 
 5i.68 
 
 72.23 
 
 52.00 
 
 72.00 
 
 52. 3i 
 
 89 
 
 90 
 
 73.95 
 
 5i,3o 
 
 73.72 
 
 51.62 
 
 73.50 
 
 51.94 
 
 73.27 
 
 52.26 
 
 73.04 
 
 52.58 
 
 72.81 
 
 52.90 
 
 90 
 
 91 
 
 74.77 
 
 51.87 
 
 74.54 
 
 52.20 
 
 74.3i 
 
 52.52 
 
 74.08 
 
 52.84 
 
 73.85 
 
 53.17 
 
 73.62 
 
 53.49 
 
 91 
 
 92 
 
 75.59 
 
 52.44 
 
 75.36 
 
 52.77 
 
 75.13 
 
 53.10 
 
 74.90 
 
 53.42 
 
 74.66 
 
 53.75 
 
 74.43 
 
 54.08 
 
 92 
 
 93 
 
 76.41 
 
 53. ot 
 
 76.18 
 
 53.34 
 
 75.95 
 
 53.67 
 
 75.71 
 
 54.01 
 
 75.48 
 
 54.34 
 
 75.24 
 
 54.66 
 
 93 
 
 94 
 
 77.23 
 
 53.58 
 
 77.00 
 
 53.92 
 
 76.76 
 
 54.25 
 
 76.53 
 
 54.59 
 
 76.29 
 
 54.92 76.05 
 
 55.25 
 
 94 
 
 95 
 
 78.06 
 
 54. i5 
 
 77.82 
 
 54.49 
 
 77.58 
 
 54.83 
 
 77.34 
 
 55.17 
 
 77.10 
 
 55.5o 
 
 76.86 
 
 55.84 
 
 95 
 
 96 
 
 78.88 
 
 54.73 
 
 78.64 
 
 55.06 
 
 78,40 
 
 55.41 
 
 78.16 
 
 55.75 
 
 77.91 
 
 1 
 
 56.09 ,77.67 
 
 56.43 
 
 96 
 
 97 
 
 79.70 
 
 55.29 
 
 79.46 
 
 55.64 
 
 79,21 
 
 55.98 
 
 78.97 
 
 56.33 
 
 78.72 
 
 56.67:78.47 
 
 57.02 
 
 97 
 
 98 
 
 80.52 
 
 55.86 
 
 80.28 
 
 56.21 
 
 80. o3 
 
 56,56 
 
 i 79-78 
 
 56.91 
 
 79.53 
 
 57,26 
 
 79.28 
 
 57.60 
 
 98 
 
 7 
 
 99 
 
 81.34 
 
 56.43 
 
 81.10 
 
 56.78 
 
 8o.85 
 
 57.14 
 
 i 80.60 
 
 57.49 
 
 80.35 
 
 57.84; 
 
 80.09 
 
 58.19 
 
 99 
 
 100 
 
 82.16 
 
 57.00 
 
 81.92 
 
 57.36 
 
 81.66 
 
 57.71 
 
 81.41 
 
 58.07 
 
 81.16 
 
 58.42 
 
 80.90 
 
 58.78 
 
 100 
 
 d 
 
 
 
 i 
 
 .a 
 
 Q 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat, 
 
 Dep. 
 
 lAt. 
 
 Dep. 
 
 lAt. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 I>at. 
 
 1 
 
 Q 
 
 55% Deg. 
 
 55 Deg. 
 
 54% Deg. 
 
 54K Deg. 
 
 54% Deg. 
 
 54 Deg. 
 
184 
 
 
 
 
 Traverse Table. 
 
 
 
 
 
 a 
 
 s 
 
 a 
 I 
 
 36% Deg. 
 
 36K Deg. 
 
 36% Deg. 
 
 37 Deg. 
 
 37% Deg. 
 
 37K Deg. 
 
 c 
 
 » 
 
 a 
 
 a 
 
 a 
 
 I 
 
 Lat 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 0.81 
 
 0.59 
 1,18 
 
 0.80 
 
 0.59 
 
 0.80 
 
 0.60 
 
 0.80 
 
 0.60 
 
 0.80 
 
 0.61 
 
 0.79 
 
 r 
 
 0.61 
 
 2 
 
 I.6l 
 
 1. 61 
 
 1. 19 
 
 1.60 
 
 1.20 
 
 1.60 
 
 1.20 
 
 1.59 
 
 1. 21 
 
 1.59 
 
 1.22 
 
 2 
 
 3 
 
 2.42 
 
 1.77 
 
 2.4l 
 
 1.78 
 
 2.4o 
 
 1.79 
 
 2.4o 
 
 1.81 
 
 2.39 
 
 1.82 
 
 2.38 
 
 1.83 
 
 3 
 
 4 
 
 3.23 
 
 II 
 2.37 
 2.96 
 
 3.22 
 
 2.38 
 
 3.20 
 
 2.39 
 
 3.19 
 
 2.4l 
 
 3.18 
 
 2.42 
 
 3.17 
 
 2.43 
 
 4 
 
 5 
 
 4.o3 
 
 4.02 
 
 2.97 
 
 4.01 
 
 2.99 
 
 3.99 
 
 3.01 
 
 3.98 
 
 3.o3 
 
 3.97 
 
 3.o4 
 
 5 
 
 6 
 
 4.84 
 
 3.55 
 
 4.82 
 
 3.57 
 
 4.81 
 
 3.59 
 
 4.79 
 
 3.61 
 
 4.78 
 
 3.63 
 
 4.76 
 
 3.65 
 
 6 
 
 7 
 8 
 
 5.65 
 
 4.i4 
 
 5.63 
 
 4.16 
 
 5.61 
 
 4.19 
 
 5.59 
 
 4.21 
 
 5.57 
 
 4.24 
 
 5.55 
 
 4.26 
 
 7 
 
 6.45 
 
 4.73 
 
 6.43 
 
 4.76 
 
 6.4i 
 
 4.79 
 
 6.39 
 
 4.81 
 
 6.37 
 
 4.84 
 
 6.35 
 
 4.87 
 
 8 
 
 9 
 
 lO 
 
 7.26 
 
 5.32 
 
 7.23 
 
 5.35 
 
 7.21 
 
 5.38 
 
 7.19 
 
 5.42 
 
 7.16 
 
 5.45 
 
 7.14 
 
 5.48 
 
 9 
 
 8.06 
 
 5.91 
 
 8.o4 
 
 5.95 
 
 8.01 
 
 5.98 
 
 7-99 
 
 6.02 
 
 7.96 
 
 6.o5 
 
 7.93 
 
 6.09 
 
 10 
 
 1 1 
 
 8.87 
 
 6.5o 
 
 8.84 
 
 6.54 
 
 8.81 
 
 6.58 
 
 8.78 
 
 6.62 
 
 8.76 
 
 6.66 
 
 8.73 
 
 6.70 
 
 II 
 
 12 
 
 9.68 
 
 7.10 
 
 9.65 
 
 7.14 
 
 9.61 
 
 7.18 
 
 9.58 
 
 t-j 22 
 
 9.55 
 
 7.26 
 
 9.52 
 
 7.3i 
 
 12 
 
 i3 
 
 10. 48 
 
 7.69 
 
 10.45 
 
 7.73 
 
 10.42 
 
 7.78 
 
 10.38 
 
 7.82 
 
 10.35 
 
 7.87 
 
 10. 3i 
 
 7.91 
 
 i3 
 
 i4 
 
 11.29 
 
 8.28 
 
 11.25 
 
 8.33 
 
 11.22 
 
 8.38 
 
 II. 18 
 
 8.43 
 
 II. i4 
 
 8.47 
 
 II. 1 1 
 
 8.52 
 
 i4 
 
 i5 
 
 12.10 
 
 8.87 
 
 12.06 
 
 8.92 
 
 12.02 
 
 8.97 
 
 11.98 
 
 9.03 
 
 11.94 
 
 9.08 
 
 11.90 
 
 9.13 
 
 i5 
 
 i6 
 
 12.90 
 
 9.46 
 
 12.86 
 
 9.52 
 
 12.82 
 
 9.57 
 
 12.78 
 
 9.63 
 
 12.74 
 
 9.68 
 
 12.69 
 
 9.74 
 
 16 
 
 17 
 
 13.71 
 
 10. o5 
 
 13.67 
 
 10. 1 1 
 
 13.62 10.17 
 
 i3.58 
 
 10. 23 
 
 i3.53 
 
 10.29 
 
 1 3.49 
 
 10.35 
 
 17 
 
 i8 
 
 i4.52 
 
 10. 64 
 
 14.47 
 
 10.71 
 
 14.42' 10.77 
 
 i4.38 
 
 10. 83 
 
 14.33 
 
 10.90 
 
 14.28 
 
 10.96 
 
 18 
 
 19 
 20 
 
 i5.32 
 
 I 1.23 
 
 15.27 
 
 I i.3o 
 
 l5.22 11.37 
 
 i5.i7 
 
 11.43 
 
 l5.I2 
 
 I i.5o 
 
 15.07 
 
 11.57 
 
 19 
 
 16. i3 
 
 11.83 
 
 16.08 
 
 11.90 
 
 16. o3 11.97 
 
 15.97 
 
 I2.o4 
 
 15.92 
 
 12. II 
 
 15.87 
 
 12.18 
 
 20 
 
 21 
 
 16.94 
 
 12.42 
 
 16.88 
 
 12.49 
 
 16. 83 12.56 
 
 16.77 
 
 12.64 
 
 16.72 
 
 12.71 
 
 16.66 
 
 12.78 
 
 21 
 
 22 
 
 17.74 
 
 i3.oi 
 
 17.68 
 
 13.09 
 
 17.63 i3.i6 
 
 17.57 
 
 i3.24 
 
 17.51 
 
 i3.32 
 
 17.45 
 
 13.39 
 
 22 
 
 23 
 
 18.55 
 
 i3.6o 
 
 18.49 
 
 i3.68 
 
 18.43 
 
 13.76 
 
 18.37 
 
 i3.84 
 
 i8.3i 
 
 13.92 
 
 18.25 
 
 14.00 
 
 23 
 
 24 
 
 19.35 
 
 14.19 
 
 19.29 
 
 14.28 
 
 19.23 
 
 i4.36 
 
 19.17 
 
 14.44 
 
 19.10 
 
 14.53 
 
 19.04 
 
 14.61 
 
 24 
 
 25 
 
 20.16 
 
 14.78 
 
 20.10 
 
 14.87 
 
 2o.o3 
 
 14.96 
 
 19.97 
 
 i5.o5 
 
 19.90 
 
 i5.i3 
 
 19.83 
 
 l5.22 
 
 25 
 
 26 
 
 20.97 
 
 15.37 
 
 20.90 
 
 i5.47 
 
 20.83 
 
 i5.56 
 
 20.76 
 
 i5.65 
 
 20.70 
 
 i5.74 
 
 20.63 
 
 i5.83 
 
 26 
 
 27 
 
 21.77 
 
 i5.97 
 
 21.70 
 
 16.06 
 
 21.63 
 
 i6.i5 
 
 21.56 
 
 16.25 
 
 21.49 
 
 16.34 
 
 21.42 
 
 16.44 
 
 27 
 
 28 
 
 22.58 
 
 [6.56 
 
 22. 5i 
 
 i6.65 
 
 22.44 
 
 16.75 
 
 22.36 
 
 i6.85 
 
 22.29 
 
 16.95 
 
 22.21 
 
 17.05 
 
 28 
 
 29 
 
 23.39 
 
 17.15 
 
 23. 3i 
 
 17.25 
 
 23.24 
 
 17.35 
 
 23.16 
 
 17-45 
 
 23.08 
 
 17.55 
 
 23.01 
 
 17.65 
 
 29 
 
 3o 
 
 24.19 
 
 17.74 
 
 24.12 
 
 1784 
 
 24.04 
 
 17.95 
 
 23.96 
 
 18. o5 
 
 23.88 
 
 18.16 
 
 23.80 
 
 18.26 
 
 3o 
 
 3i 
 
 25.00 
 
 18.33 
 
 24.92 
 
 18.44 
 
 24.84 
 
 18.55 
 
 24.76 
 
 18.66 
 
 24.68 
 
 18.76 
 
 24.59 
 
 18.87 
 
 3i 
 
 32 
 
 25.81 
 
 18.92 
 
 25.72 
 
 19.03 
 
 25.64 
 
 19.15 
 
 25.56 
 
 19.26 
 
 25.47 
 
 19.37 
 
 25.39 
 
 19.48 
 
 32 
 
 33 
 
 26.61 
 
 19.51 
 
 26.53 
 
 19.63 
 
 26.44 
 
 19.74 
 
 26.35 
 
 19.86 
 
 26.27 
 
 19.97 
 
 26.18 
 
 20.09 
 
 33 
 
 34 
 
 27.42 
 
 20.10 
 
 27.33 
 
 20.22 
 
 27.24 
 
 20.34 
 
 27.15 
 
 20.46 
 
 27.06 
 
 20.58 
 
 26.97 
 
 20.70 
 
 34 
 
 35 
 
 28.23 
 
 20.70 
 
 28.13 
 
 20.82 
 
 28.04 
 
 20.94 
 
 27.95 
 
 21.06 
 
 27.86 
 
 21.19 
 
 27.77 
 
 21. 3i 
 
 35 
 
 36 
 
 29.03 
 
 21.29 
 
 28.94 
 
 21. 4i 
 
 28.85 
 
 21.54 
 
 28.75 
 
 21.67 
 
 28.66 
 
 21.79 
 
 28.56 
 
 21.92 
 
 36 
 
 37 
 
 29.84 
 
 21.88 
 
 29.74 
 
 22.01 
 
 29.65 
 
 22.14 
 
 29.55 
 
 22.27 
 
 29.45 
 
 22.40 
 
 29.35 
 
 22.52 
 
 37 
 
 38 
 
 30.64 
 
 22.47 
 
 3o.55 
 
 22.60 
 
 30.45 
 
 22.74 
 
 3o.35 
 
 22.87 
 
 3o.25 
 
 23.00 
 
 3o.i5 
 
 23. i3 
 
 38 
 
 39 
 
 3i.45 
 
 23.06 
 
 3i.35 
 
 23.20 
 
 31.25 
 
 23.33 
 
 3i.i5 
 
 23.47 
 
 3i.o4 
 
 23.61 
 
 30.94 
 
 23.74 
 
 39 
 
 4o 
 
 32.26 
 
 23.65 
 
 32. 1 5 
 
 23.79 
 
 32. o5 
 
 23.93 
 
 31.95 
 
 24.07 
 
 31.84 
 
 24.21 
 
 31.73 
 
 24.35 
 
 4o 
 
 4i 
 
 33.06 
 
 24.24 
 
 32.96 
 
 24.39 
 
 32.85 
 
 24.53 
 
 32.74 
 
 24.67 
 
 32.64 
 
 24.82 
 
 32.53 
 
 24.96 
 
 4i 
 
 42 
 
 33.87 
 
 24.83 
 
 33.76 
 
 24.98 
 
 33.65 
 
 25.13 
 
 33.54 
 
 25.28 
 
 33.43 
 
 25.42 
 
 33.32 
 
 25.57 
 
 42 
 
 43 
 
 34.68 
 
 25.43 
 
 34.57 
 
 25.58 
 
 34.45 
 
 25.73 
 
 34.34 
 
 25.88 
 
 34.23 
 
 26.03 
 
 34.11 
 
 26.18 
 
 43 
 
 44 
 
 35.48 
 
 26.02 
 
 35.37 
 
 26.17 
 
 35.26 
 
 26.33 
 
 35.14 
 
 26.48 
 
 35.02 
 
 26.63 
 
 34.91 
 
 26.79 
 
 44 
 
 45 
 
 36.29 
 
 26.61 
 
 36.17 
 
 26.77 
 
 36. 06 
 
 26.92 
 
 35.94 
 
 27.08 
 
 35.82 
 
 27.24 
 
 35.70 
 
 27.39 
 
 45 
 
 46 
 
 37.10 
 
 27.20 
 
 36.98 
 
 27.36 
 
 36.86 
 
 27.52 
 
 36.74 
 
 27.68 
 
 36.62 
 
 27.84 
 
 36.49 
 
 28.00 
 
 46 
 
 47 
 
 37.90 
 
 27.79 
 
 37.78 
 
 27.96 
 
 37.66 
 
 28.12 
 
 37.54 
 
 28.29 
 
 37.41 
 
 28.45 
 
 37.29 
 
 28.61 
 
 47 
 
 48 
 
 38.71 
 
 28.38 
 
 38.59 
 
 28.55 
 
 38.46 
 
 28.72 
 
 38.33 
 
 28.89 
 
 38.21 
 
 29.05 
 
 38.o8 
 
 20.22 
 
 48 
 
 49 
 
 39.52 
 
 28.97 
 
 39.39 
 
 29.15 
 
 39.26 
 
 29.32 
 
 39.13 
 
 29.49 
 
 39.00 
 
 29.66 
 
 38.87 
 
 29.83 
 
 49 
 
 5o 
 
 d 
 
 a 
 
 1 
 
 Q 
 
 4o.32 
 
 29.57 
 
 40.19 
 
 29.74 
 
 4o.o6 
 
 29.92 39.93 
 
 30.09 
 
 39.80 
 
 30.26 
 
 39.67 
 
 30.44 
 
 5o 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 Dep. 1 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 
 
 53% Deg. 
 
 53K Deg. 
 
 53% Deg. 
 
 53 Deg. 
 
 52% Deg. 
 
 53K Deg. 
 
Traverse Table. 
 
 36>1 Deg. 361^ Beg. 36% Deg, 
 
 Lat. 
 
 4i. 
 
 45.16 
 
 45.97 
 46.77 
 47.58 
 48. 39 
 
 49-19 
 5o.oo 
 
 5o.8i 
 
 5i.6i 
 
 52.42 
 
 Dep. 
 
 3o.l6 
 80.75 
 
 31.34 
 81.93 
 82.52 
 
 61.29 
 62.10 
 62.90 
 68.71 
 64.52 
 
 Lat. 
 
 86 69.35 
 70.16 
 70.97 
 71.77 
 72.58 
 
 73.89 
 74.19 
 75.00 
 75.81 
 76.61 
 
 77.42 
 78.28 
 79.03 
 79-84 
 80.64 
 
 nep. 
 
 47.90 
 48.49 
 49.08 
 49.67 
 50.26 
 
 Dep. Lat. Dep. 
 
 4l.00 
 41.80 
 42.60 
 
 48.4i 
 44.21 
 
 45.02 
 
 45.82 
 
 49.04 
 49.84 
 5o.64 
 5 1. 45 
 
 52.25 
 
 53.o5 
 58.86 
 54.66 
 
 55.47 
 56.27 
 
 57.07 
 
 57.8S 
 58.68 
 
 59.49 
 60.29 
 
 61.09 
 61.90 
 62.70 
 63. 5o 
 64. 3i 
 
 65.11 
 65.92 
 66.72 
 67.52 
 68.33 
 
 53.81 
 54.40 
 54.99 
 55.58 
 56.17 
 
 56.77 
 57.86! 
 57.95 
 58.54 
 59.18 
 
 Lat. 
 
 80.84 
 80.98 
 31.53 
 82.12 
 82.72 
 
 88.3i 
 33.90 
 84. 5o 
 35.09 
 35.69 
 
 36.28 
 36.88 
 87.47 
 38.07 
 38.66 
 
 89.26 
 89.85 
 
 40.45 
 4i.o4 
 4i.64i 
 
 42.28 
 42.83 
 43.42 
 44.02 
 44.61 
 
 40.86 
 41.67 
 
 42.47 
 43.27 
 44.07 
 
 48.88 
 49.68 
 5o.48 
 51.28 
 52.08 
 
 37 Deg. 
 
 Lat. 
 
 88. 5i' 44.72 
 34.10 
 34.70 
 35. 3o 
 35.90 
 
 48.72 
 49.52 
 5o.8i 
 5i.i I 
 51.91 
 
 53% Deg. 
 
 39.49 
 40.09 
 40.69 
 
 41.28 
 41.88 
 
 42.48 
 48.08 
 43.68 
 44.28 
 44.87 
 
 48.46 
 49.06 
 49.66 
 50.26 
 5o.86 
 
 77.17 
 
 77.97 
 78.78 
 79.58 
 80.89 
 
 Dep. 
 
 Lat. 
 
 531^ Deg. 
 
 72.11 53.85 
 
 54.45 
 55.o5 
 55.64 
 56.24 
 56.84 
 
 57.44 
 58.04 
 58.64 
 5g.23 
 59.88 
 
 Dep. I.at. 
 
 53>< Deg. 
 
 52.71 
 53. 5i 
 54. 3i 
 55.11 
 55.90 
 
 80.69 
 81.29 
 3i .90 
 82. 5o, 
 33.10 
 
 .12 
 
 371^ Deg. 371^ Deg 
 
 60.70 
 61.49 
 62.29 
 63.09 
 68.89 
 
 64.69 
 65.49 
 66.29 
 67.09 
 
 67.88 
 
 68.68 
 69.48 
 70.28 
 71.08 
 71.88 
 
 72.68 
 
 78.47 
 74.27 
 75.07 
 75.87 
 
 76.67 
 
 77-47 
 78.27 
 79.06 
 79.86 
 
 Dep. 
 
 Lat. I Dep. Lat 
 
 42.78 
 43.33 
 43.98 
 
 44.53 
 45.14 
 
 45.74 
 46.34 
 46.94 
 47-54 
 48. i5 
 
 48.75 
 49.35 
 49.95 
 5o.55 
 5i.i5 
 
 51.76 
 52.36 
 52.96 
 58.56 
 54.16 
 
 54.77 
 55.87 
 
 55.97 
 
 56.57 
 
 57.17 
 
 57.77 
 58.88 
 58.98 
 59.58 
 60.18 
 
 Lat. 
 
 44.58 
 45.87 
 46.17 
 46.96 
 47.76 
 
 48.56 
 49.35 
 5o.i5 
 50.94 
 51.74 
 
 52 54 
 58.38 
 54.18 
 54.92 
 55.72 
 
 56.52 
 57.81 
 58.11 
 58.90 
 59.70 
 
 60. 5o 
 61.29 
 62.09 
 
 62.88 
 63.68 
 
 64.48 
 65.27 
 66.07 
 66.86 
 67.66 
 
 68.46 
 69.25 
 70.05 
 
 70.84 
 71.64 
 
 53 Deg. 
 
 30.87 
 31.48 
 82.08 
 82.69 
 33.29 
 
 88.90 
 34. 5o 
 35.11 
 35.71 
 86.82 
 
 36.92 
 87.53 
 38.13 
 38.74 
 89.34 
 
 89.95 
 40.55 
 41.16 
 
 41-77 
 42.87 
 
 42.98 
 43.58 
 44.19 
 44.79 
 45.40 
 
 46.00 
 46.61 
 
 47.21 
 47.82 
 48.42 
 
 49.08 
 49.68 
 5o.24 
 5o.84 
 5i.45 
 
 52.06 
 52.66 
 53.27 
 53.87 
 54.48 
 
 4o.46 
 4i.25 
 42. o5 
 42.84 
 43.63 
 
 44.43 
 45.22 
 46.01 
 46.81 
 47.60 
 
 Dep. 
 
 48.39 
 49.19 
 49.98 
 50.77 
 51.57 
 
 52.36 
 53. i5 
 58.95 
 
 54.74 
 55.53 
 
 56.33 
 57.12 
 57.91 
 58.71 
 59.50 
 
 60.29 
 61 .09 
 61.88 
 62.67 
 63.47 
 
 64.26 
 65.o5 
 65 85 
 66.64 
 67.48 
 
 68.28 
 69.02 
 69.82 
 70.61 
 
 71.40 
 
 72.44 55.08 
 73.281 55.69 
 74.08: 56.29 
 74.82 56.90 
 75.62 57.50 
 
 76.42 58.11 
 77.21 58.71 
 78.01 59.82 
 78.80 59.92 
 79.60 60.53 
 
 Dep. Lat. 
 
 52% Deg. 
 
 3i.o5 
 81.66 
 82.26 
 82.87 
 33.48 
 
 34.09 
 34.70 
 35. 3i 
 35.92 
 86.53 
 
 87.18 
 87.74 
 38.35 
 88.96 
 39.57 
 
 4o 18 
 40.79 
 4i.4o 
 42.00 
 42.61 
 
 43.22 
 43.83 
 44.44 
 45.o5 
 45.66 
 
 46.27 
 
 46.87 
 47.48 
 48.09 
 48.70 
 
 49.81 
 49.92 
 5o.53 
 5i.i4 
 
 51.74 
 
 52.35 
 52.96 
 53.57 
 54.18 
 54.79 
 
 72.20 55. 4o 
 72.99 56.01 
 
 73.78j56.61 
 74.58 57.22 
 
 75.37 
 
 76.16 
 76.96 
 
 57.83 
 
 58.44 
 59.05 
 
 77.75159.66 
 
 78.54160.27 
 
 79.34' 60.88 
 
 Dep. I I At. 
 
 521^ Deg. 
 
 70 
 
 86 
 87 
 88 
 89 
 90 
 
 91 
 
 92 
 
 93 
 94 
 95 
 
 96 
 
 97 
 98 
 
 99 
 100 
 
 a 
 5 
 
186 
 
 
 
 
 T 
 
 RAV 
 
 ERSE T 
 
 A.BL E. 
 
 
 
 
 
 2 
 
 i 
 I 
 
 37% Beg. 
 
 38 Deg. 
 
 38K I>eg. 
 
 38)^ Deg. 
 
 38% Deg. 
 
 39 Deg. 
 
 o 
 
 D 
 
 Lat. 
 
 Dep. 
 
 Lat 
 
 Dep. 
 0.62 
 
 Lai. 
 0.79 
 
 Dep. 
 0.62 
 
 l.at. 1 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 0.79 
 
 1.58 
 
 0.61 
 
 0.79 
 
 0.78 
 
 0.62 
 
 0.78 
 
 0.63 
 
 0.78 
 
 0.63 
 
 1 
 
 2 
 
 1 .22 
 
 1.58 
 
 1.23 
 
 1.57 
 
 1.24 
 
 1.57 
 
 1.24 
 
 1.56 
 
 1.25 
 
 1.55 
 
 1.26 
 
 2 
 
 3 
 
 2.37 
 3.16 
 
 1.84 
 
 2.36 
 
 1.85 
 
 2.36 
 
 1.86 
 
 2.35 
 
 1.87 
 
 2.34 
 
 1.88 
 
 2.33 
 
 1.89 
 
 3 
 
 4 
 
 2.45 
 
 3.i5 
 
 2.46 
 
 3.14 
 
 2.48 
 
 3.i3 
 
 2.49 
 
 3.12 
 
 2.5o 
 
 3.11 
 
 2.52 
 
 4 
 
 5 
 
 3.95 
 
 3.06 
 
 3.94 
 
 3.08 
 
 3.93 
 
 3.10 
 
 3.91 
 
 3.11 
 
 3.90 
 
 3.i3 
 
 3.89 
 
 3.i5 
 
 5 
 
 6 
 
 4.74 
 5.53 
 
 3.67 
 4.29 
 4.90 
 5.5i 
 
 4.73 
 
 3.69 
 
 4.71 
 
 3.71 
 
 4.70 
 
 3.74 
 
 4.68 
 
 3.76 
 
 4.66 
 
 3.78 
 
 6 
 
 7 
 8 
 
 5.52 
 
 4.3i 
 
 5.5o 
 
 4.33 
 
 5.48 
 
 4.36 
 
 5.46 
 
 4.38 
 
 5.44 
 
 4.4i 
 
 7 
 
 6.33 
 
 6.3o 
 
 4.93 
 
 6.28 
 
 4.95 
 
 6.26 
 
 4.98 
 
 6.24 
 
 5.01 
 
 6.22 
 
 5.08 
 
 8 
 
 9 
 
 lO 
 
 7.12 
 7.91 
 
 7.09 
 
 5.54 
 
 7.07 
 
 5.57 
 
 7.04 
 
 5.60 
 
 7.02 
 
 5.63 
 
 6.99 
 
 5.66 
 
 9 . 
 
 6.12 
 
 7.88 
 
 6.16 
 
 7.85 
 
 6.19 
 
 7.83 
 
 6.23 
 
 7.80 
 
 6.26 
 
 7-77 
 
 6.29 
 
 10 
 
 II 
 
 8.70 
 
 6.73 
 
 8.67 
 
 6.77 
 
 8.64 
 
 6.81 
 
 8.61 
 
 6.85 
 
 8.58 
 
 6.89 
 
 8.55 
 
 6.92 
 
 II 
 
 12 
 
 9.49 
 
 7.35 
 
 9-46 
 
 7.39 
 
 9.42 
 
 7.43 
 
 9.39 
 
 7-4? 
 
 9.36 
 
 7.5i 
 
 9.33 
 
 7.55 
 
 12 
 
 i3 
 
 10.28 
 
 7.96 
 
 10.24 
 
 8.00 
 
 10.21 
 
 8.o5 
 
 10.17 
 
 8.09 
 
 10. i4 
 
 8.i4 
 
 10.10 
 
 8.18 
 
 i3 
 
 i4 
 
 11.07 
 
 / y 
 
 8.57 
 
 ii.o3 
 
 8.62 
 
 10.99 
 
 8.67 
 
 10.96 
 
 8.72 
 
 10.92 
 
 8.76 
 
 10.88 
 
 8.81 
 
 i4 
 
 i5 
 
 11.86 
 
 9.18 
 
 11.82 
 
 9.23 
 
 11.78 
 
 9.29 
 
 11.74 
 
 9.34 
 
 11.70 
 
 9.39 
 
 11.66 
 
 9.44 
 
 i5 
 
 i6 
 
 12.65 
 
 9.80 
 
 12.61 
 
 9.85 
 
 12.57 
 
 9.91 
 
 12.52 
 
 9.96 
 
 12.48 
 
 10,01 
 
 12.43 
 
 10.07 
 
 16 
 
 I? 
 
 13.44 
 
 7 
 
 10. 4i 
 
 i3.4o 
 
 10.47 
 
 i3.35 
 
 10. 52 
 
 i3.3o 
 
 I0.58 
 
 13.26 
 
 10.64 
 
 I 3.2 I 
 
 10.70 
 
 17 
 
 i8 
 
 i4.23 
 
 11.02 
 
 i4.i8 
 
 11.08 
 
 i4.i4 
 
 11. i4 
 
 14.09 
 
 11.21 
 
 i4.o4 
 
 11.27 
 
 13.99 
 
 11.38 
 
 18 
 
 '9 
 
 l5.02 
 
 11.63 
 
 14.97 
 
 11.70 
 
 14.92 
 
 1 1.76 
 
 14.87 
 
 11.83 
 
 14.82 
 
 11.89 
 
 14.77 
 
 1 1.96 
 
 19 
 
 20 
 
 i5.8i 
 
 12.24 
 
 15.76 
 
 12. 3i 
 
 15.71 
 
 12.38 
 
 i5.65 
 
 12.45 
 
 i5.6o 
 
 12.52 
 
 i5.54 
 
 12,59 
 
 20 
 
 21 
 
 16.60 
 
 12.86 
 
 16.55 
 
 12.93 
 
 16.49 
 
 i3.oo 
 
 16.43 
 
 13.07 
 
 i6.38 
 
 i3.i4 
 
 16.32 
 
 l3.22 
 
 21 
 
 22 
 
 17.40 
 
 13.47 
 
 17.34 
 
 i3.54 
 
 17.28 
 
 13.62 
 
 17.22 
 
 13.70 
 
 17.16 
 
 13.77 
 
 17.10 
 
 1 3.84 
 
 22 
 
 23 
 
 18.19 
 
 i4.o8 
 
 18.12 
 
 i4.i6 
 
 i8.o6 
 
 14.24 
 
 18.00 
 
 l4.32 
 
 17.94 
 
 i4.4o 
 
 17.87 
 
 14.47 
 
 23 
 
 24 
 
 18.98 
 
 14.69 
 
 18.91 
 
 14.78 
 
 i8.85 
 
 14.86 
 
 18.78 
 
 14.94 
 
 18.72 
 
 l5.02 
 
 i8.65 
 
 i5.io 
 
 24 
 
 25 
 
 19.77 
 
 i5.3i 
 
 19.70 
 
 15.39 
 
 19.63 
 
 1 5.48 
 
 19.57 
 
 i5.56 
 
 19.50 
 
 i5.65 
 
 19.43 
 
 15.78 
 
 25 
 
 26 
 
 20. 56 
 
 15.92 
 
 20.49 
 
 16.01 
 
 20.42 
 
 16.10 
 
 20.35 
 
 16.19 
 
 20.28 
 
 16.27 
 
 20.21 
 
 i6.36 
 
 26 
 
 27 
 
 21.35 
 
 i6.53 
 
 21.28 
 
 16.62 
 
 21.20 
 
 16.72 
 
 21. i3 
 
 16.81 
 
 21 .06 
 
 16.90 
 
 20.98 
 
 16.99 
 
 27 
 
 28 
 
 22.14 
 
 17.14 
 
 22.06 
 
 17.24 
 
 21.99 
 
 17.33 
 
 21.91 
 
 17.43 
 
 21.84 
 
 17.53 
 
 21.76 
 
 17.62 
 
 28 
 
 29 
 
 22.93 
 
 '7-75i 
 
 22.85 
 
 17.85 
 
 22.77 
 
 17.95 
 
 22.70 
 
 i8.o5 
 
 22.62 
 
 18. i5 
 
 22.54 
 
 18.25 
 
 29 
 
 3o 
 
 23.72 
 
 18.37 
 
 23.64 
 
 18.47 
 
 23.56 
 
 18.57 
 
 23.48 
 
 18.68 
 
 23. 4o 
 
 18.78 
 
 23.3i 
 
 18.88 
 
 3o 
 
 3i 
 
 24. 5i 
 
 18.98 
 
 24.43 
 
 19.09 
 
 24.34 
 
 19.19 
 
 24.26 
 
 19.30 
 
 24.18 
 
 19.40 
 
 24.09 
 
 19.51 
 
 3i 
 
 32 
 
 25. 3o 
 
 19.59 
 
 25.22 
 
 19.70 
 
 25.13 
 
 19.81 
 
 25. o4 
 
 19.92 
 
 24.96 
 
 20. o3 
 
 24.87 
 
 20.l4 
 
 82 
 
 33 
 
 26.09 
 
 20.20 
 
 26.00 
 
 20.32 
 
 25.92 
 
 20.43 
 
 25.83 
 
 20.54 
 
 25.74 
 
 20.66 
 
 25.65 
 
 20.77 
 
 33 
 
 34 
 
 26.88 
 
 20.82 
 
 26.79 
 
 20.93 
 
 26.70 
 
 21. o5 
 
 26.61 
 
 21.17 
 
 26.52 
 
 21.28 
 
 26.42 
 
 21.4o 
 
 34 
 
 35 
 
 27.67 
 
 21.43 
 
 27.58 
 
 21.55 
 
 27.49 
 
 21.67 
 
 27.39 
 
 21.79 
 
 27.30 
 
 21.91 
 
 27.20 
 
 22. 03 
 
 35 
 
 36 
 
 28.46 
 
 22.04 
 
 28.37 
 
 22.16 
 
 28.27 
 
 22.29 
 
 28.17 
 
 22.4l 
 
 28.08 
 
 22.53 
 
 27.98 
 
 22.66 
 
 36 
 
 37 
 
 29.26 
 
 22.65 
 
 29.16 
 
 22.78 
 
 29.06 
 
 22.91 
 
 28.96 
 
 23.o3'28.86 
 
 23.16 
 
 28.75 
 
 28.28 
 
 37 
 
 38 
 
 3o.o5 
 
 123.26 
 
 29.94 
 
 23.4o 
 
 29.84 
 
 23.53 
 
 29.74 
 
 23.66 
 
 ,29.64 
 
 23.79 
 
 29.53 
 
 28.91 
 
 38 
 
 39 
 
 30.84 
 
 23.88 
 
 30.73 
 
 24.01 
 
 30.63 
 
 24.14 
 
 3o.52 
 
 24.28 
 
 30.42 
 
 24.41 
 
 3o.3i 
 
 24.54 
 
 39 
 
 4o 
 
 31.63 
 
 24.49 
 
 31.52 
 
 24.63 
 
 3i.4i 
 
 24.76 
 
 3i.3o 
 
 24.90 
 
 3l.20 
 
 25. o4 
 
 31.09 
 
 25.17 
 
 4o 
 
 4i 
 
 82.42 
 
 25.10 
 
 32. 3i 
 
 25.24 
 
 32.20 
 
 25.38 
 
 32.09 
 
 25.52 
 
 31.98 
 
 25.66 
 
 31.86 
 
 25.80 
 
 4i 
 
 42 
 
 33.21 
 
 25.71 
 
 ! 33.10 
 
 25.86 
 
 32.98 
 
 26.00 
 
 32.87 
 
 26.15 
 
 32.76 
 
 26.29 
 
 32.64 
 
 26.48 
 
 42 
 
 43 
 
 34.00 
 
 26.33 
 
 : 33.88 
 
 26.47 
 
 33.77 
 
 26.62 
 
 33.65 
 
 26.771 33.53 
 
 26.91 
 
 33.42 
 
 27.06 
 
 43 
 
 44 
 
 34.79 
 
 26. 9^^ 
 
 34.67 
 
 27.09 
 
 34.55 
 
 27.24 
 
 34.43 
 
 27. 39:34.31 
 
 27.54 
 
 34.19 
 
 27.69 
 
 44 
 
 45 
 
 35.58 
 
 27.55 
 
 35.4c 
 
 ] 
 
 27.70 
 
 ; 35.34 
 
 27.86 
 
 35.22 
 
 28.01 35.09 
 
 28.17 
 
 34.97 
 
 28.32 
 
 45 
 
 46 
 
 36.37 
 
 28.16 
 
 36.25 
 
 28.32 
 
 36.12 
 
 28.48 
 
 36.O0 
 
 28.64 35.87 
 
 28.79 
 
 35.75 
 
 28.95 
 
 46 
 
 47 
 
 37.16 
 
 28.77 
 
 1 37.04 
 
 28.94 
 
 36.91 
 
 29.10 
 
 36.78 
 
 29.261 36.65 
 
 29.42 
 
 36.53 
 
 1 29.58 
 
 47 
 
 48 
 
 37.95 
 
 29.39 
 
 ■ 37.82 
 
 29.55 
 
 37.7c 
 
 29.72 
 
 37.57 
 
 '29.88:37.43 
 
 3o.o4 
 
 37.80 
 
 3o.2I 
 
 48 
 
 49 
 
 38. 7^ 
 
 3o.oo 
 
 : 38.6i 
 
 30.17 
 
 I 38.4S 
 
 3o.34 
 
 38.35 
 
 ,3o.5o 38.21 
 
 30.67 
 
 38.o8 
 
 80.84 
 
 49 
 
 5o 
 
 s 
 w 
 
 5 
 
 39.51 
 
 3o.6i 
 
 39.4c 
 
 30.78 
 I,at. 
 
 39.27 
 
 30.95 
 
 39.13 
 
 (3i.i3 
 
 38.99 
 
 3i.3o 
 
 38.86 
 
 31.47 
 
 5o 
 
 Dep. 
 
 I<at. 
 
 Dep. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 t Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 Lat. 
 
 § 
 
 1 
 
 en 
 
 
 
 53M 
 
 Deg. 
 
 52 Deg. 
 
 51% Deg. 
 
 511^ Deg. 
 
 51K Deg. 
 
 51 Deg. 
 

 
 
 
 T 
 
 EAVERSE T. 
 
 A.BLE. 
 
 
 
 
 187 
 
 g 
 
 55* 
 
 s- 
 
 a 
 o 
 9 
 
 37% Beg. 
 
 38 Beg. 
 
 38>^ Beg. 
 
 381^ Deg. 
 
 1 
 
 38% Deg. 
 
 39 Deg. 
 
 S' 
 
 1 
 
 8 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 3i.4o 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 39.91 
 
 Dep. 
 
 Lat. 
 39.77 
 
 Dep. 
 31.92 
 
 l.ul. 1 
 
 Dep. 
 
 5i 
 
 40.33 
 
 3l.22 
 
 40.19 
 
 4o.o5 
 
 31.57 
 
 31.75 
 
 39.63 
 
 32. 10 
 
 5i 
 
 52 
 
 4 1 . 1 ?■ 
 
 31.84 
 
 40.98 
 
 32. 01 
 
 4o.84 
 
 32.19 
 
 40.70 
 
 32.37 
 
 40.55 
 
 32.55 
 
 4o.4i 
 
 32.72 
 
 52 
 
 53 
 
 41.91 
 
 32.45 
 
 41.76 
 
 32.63 
 
 41.62 
 
 32.81 
 
 41.48 
 
 32.99 4i.33| 
 
 33.17 
 
 41.19 
 
 33.35 
 
 53 
 
 54 
 
 42.70 
 
 33.06 
 
 42.55 
 
 33.25 
 
 42.41 
 
 33.43 
 
 42.26 
 
 33.62 
 
 42.1 1 
 
 33.80 
 
 41.97 
 
 33.98 
 
 54 
 
 55 
 
 43.49 
 
 33.67 
 
 43.34 
 
 33.86' 
 
 43.19 
 
 34.o5 
 
 43.04 
 
 34.24 
 
 42.89 
 
 34.43 
 
 42.74 
 
 34.61 
 
 55 
 
 56 
 
 44.28 
 
 34.28 
 
 44.13 
 
 34.48 
 
 43.98 
 
 34.67 
 
 43.83 
 
 34.86 
 
 43.67 
 
 35.05 
 
 43.52 
 
 35.24 
 
 56 
 
 5? 
 
 45.07 
 
 34.90 
 
 44.92 
 
 35.09' 
 
 44.76 
 
 35.29 
 
 44.61 
 
 35.48 
 
 44.45 
 
 35.68 
 
 44. 3o 
 
 35.87 
 
 57 
 
 58 
 
 45.86 
 
 35.5i 
 
 45.70 
 
 35.71 
 
 45.55 
 
 35.91 
 
 45.39 
 
 36.11 
 
 45.23 
 
 36.30 
 
 45.07 
 
 36. 5o 
 
 58 
 
 59 
 
 46.65 
 
 36.12 
 
 46.49 
 
 36.32 
 
 46.33 
 
 36.53 
 
 46.17 
 
 36.73 
 
 46.01 
 
 36.93 
 
 45.85 
 
 37.13 
 
 59 
 
 60 
 
 47.44 
 
 36.73 
 
 47.28 
 
 36.94 
 
 47.12 
 
 37.15 
 
 46.96 
 
 37.35 
 
 46.79 
 
 37.56 
 
 46.63 
 
 37.76 
 
 60 
 
 61 
 
 48.23 
 
 37.35 
 
 48.07 
 
 37.56 
 
 47.90 
 
 37.76 
 
 47.74 
 
 37-97 
 
 47.57 
 
 38.18 
 
 47.41 
 
 38.39 
 
 61 
 
 62 
 
 49.02 
 
 37.96 
 
 48.86 
 
 38.17 
 
 48.69 
 
 38.38 
 
 48.52 
 
 38.6o 
 
 48.35 
 
 38.8i 
 
 48.18 
 
 39.02 
 
 62 
 
 63 
 
 49.81 
 
 38.57 
 
 49.64 
 
 38.79 
 
 49.47 
 
 39.00 
 
 49.30 
 
 39.22 
 
 49.13 
 
 39.43 
 
 48.96 
 
 39.65 
 
 63 
 
 64 
 
 5o.6o 
 
 39.18 
 
 5o.43 
 
 39.40 
 
 50.26 
 
 39.62 
 
 50.09 
 
 39.84 
 
 49.91 
 
 4o.o6 
 
 49.74 
 
 40.28 
 
 64 
 
 65 
 
 51.39 
 
 39.79 
 
 5l.22 
 
 4o.02 
 
 5i.o5 
 
 40.24 
 
 50.87 
 
 4o.46 
 
 50.69 
 
 40.68 
 
 5o.5i 
 
 40.91 
 
 65 
 
 66 
 
 52.19 
 
 4o.4i 
 
 52. 01 
 
 40.63 
 
 5i.83 
 
 40.86 
 
 5i.65 
 
 41.09 
 
 51.47 
 
 4i.3] 
 
 51.29 
 
 41.54 
 
 66 
 
 67 
 
 52.98 
 
 41.02 
 
 52.80 
 
 41.25 
 
 52.62 
 
 41.48 
 
 52.43 
 
 41.71 
 
 52.25 
 
 41.94 
 
 52.07 
 
 42.16 
 
 67 
 
 68 
 
 53.77 
 
 41.63 
 
 53.58 
 
 41.86: 
 
 53.4o 
 
 42.10 
 
 53.22 
 
 42.33 
 
 53.03 
 
 42.56 
 
 52.85 
 
 42.79 
 
 68 
 
 69 
 
 54.56 
 
 42.24 
 
 54.37 
 
 42.48' 
 
 54.19 
 
 42.72 
 
 54.00 
 
 42.95 
 
 53.81 
 
 43.19 
 
 53.52 
 
 43.42 
 
 69 
 
 70 
 
 55.35 
 
 42.86 
 
 55.16 
 
 43.10 
 
 54.97 
 
 43.34 
 
 54.78 
 
 43.58 
 
 54.59 
 
 43.81 
 
 54.40 
 
 44.05 
 
 70 
 
 71 
 
 56.14 
 
 43.47 
 
 55.95 
 
 43.71 
 
 55.76 
 
 43.96 
 
 55.57 
 
 44.20 
 
 55.37 
 
 44.44 
 
 55.18 
 
 44.68 
 
 71 
 
 72 
 
 56.93 
 
 44.08 
 
 56.74 
 
 44.33 
 
 56.54 
 
 44.57 
 
 56.35 
 
 44.82 
 
 56. i5 
 
 45.07 
 
 55.95 
 
 45. 3i 
 
 72 
 
 73 
 
 57.72 
 
 44.69 
 
 57.52 
 
 44.94 
 
 57.33 
 
 45.19 
 
 57.13 
 
 45.44 
 
 56.93 
 
 45.69 
 
 56.73 
 
 45.94 
 
 73 
 
 74 
 
 58.5i 
 
 45. 3o 
 
 58. 3i 
 
 45.56 
 
 58.11 
 
 45.81 
 
 57.91 
 
 46.07 
 
 57.71 
 
 46.32 
 
 57.51 
 
 46.57 
 
 74 
 
 75 
 
 59.30 
 
 45.92 
 
 59.10 
 
 46.17 
 
 58.90 
 
 46.43 
 
 58.70 
 
 46.69 
 
 58.49 
 
 46.94 
 
 58.29 
 
 47.20 
 
 75 
 
 76 
 
 60.09 
 
 46.53 
 
 59.89 
 
 46.79 
 
 59.68 
 
 47.05 
 
 59.48 
 
 47.31 
 
 59.27 
 
 47.57 
 
 59.06 
 
 47.83 
 
 76 
 
 77 
 
 60.88 
 
 47.14 
 
 60.68 
 
 47.41 
 
 60.47 
 
 47.67 
 
 ; 60.26 
 
 47-93 
 
 60. o5 
 
 48.20 
 
 59.84 
 
 48.46 
 
 77 
 
 78 
 
 61.67 
 
 47.75 
 
 61.46 
 
 48.02 
 
 61.25 
 
 48.29 
 
 61.04 
 
 48.56 
 
 6o.83 
 
 48.82 
 
 60.62 
 
 49.09 
 
 78 
 
 79 
 
 62.46 
 
 48.37 
 
 62.25 
 
 48.64 
 
 62.04 
 
 48.91 
 
 6i.83 
 
 49.18 
 
 61.61 
 
 49.45 
 
 61.39 
 
 49.72 
 
 79 
 
 80 
 
 63.26 
 
 48.98 
 
 63.04 
 
 49.25 
 
 62.83 
 
 49.53 
 
 62.61 
 
 49.80 
 
 62.39 
 
 50.07 
 
 62.17 
 
 5o.35 
 
 80 
 
 81 
 
 64.o5 
 
 49.59 
 
 63.83 
 
 49-87 
 
 63.6i 
 
 5o.i5 
 
 63.39 
 
 5o.42 
 
 63.17 
 
 50.70 
 
 62.95 
 
 50.97 
 
 81 
 
 82 
 
 64.84 
 
 5o.2o 
 
 64.62 
 
 5o.48 
 
 64.4o 
 
 50.77 
 
 64.17 
 
 5i.o5 
 
 63.95 
 
 5i.33 
 
 63.73 
 
 5 1. 60 
 
 82 
 
 83 
 
 65.63 
 
 5o.8i 
 
 65.40 
 
 5i.io 
 
 65.18 
 
 5i.38 
 
 64.96 
 
 51.67 
 
 64-73 
 
 51.95 
 
 64. 5o 
 
 52.23 
 
 83 
 
 84 
 
 66.42 
 
 5 1. 43 
 
 66.19 
 
 51.72 
 
 65.97 
 
 52.00 
 
 65.74 
 
 52.29 
 
 65.5i 
 
 52.58 
 
 65.28 
 
 52.86 
 
 84 
 
 85 
 
 67.21 
 
 52. o4 
 
 66.98 
 
 52.33 
 
 66.75 
 
 52.62 
 
 66.52 
 
 52.91 
 
 66.29 
 
 53.20 
 
 66.06 
 
 53.49 
 
 85 
 
 86 
 
 68.00 
 
 52.65 
 
 67.77 
 
 52.95 
 
 67.54 
 
 53.24 
 
 67.30 
 
 53.54 
 
 67.07 
 
 53.83 
 
 66.83 
 
 54.12 
 
 86 
 
 87 
 
 68.79 
 
 53.26 
 
 68.56 
 
 53.56 
 
 68.32 
 
 53.86 
 
 68.09 
 
 54.16 
 
 67.85 
 
 54.46 
 
 67.61 
 
 54.75 
 
 87 
 
 88 
 
 69.58 
 
 53.88 
 
 69.34 
 
 54.18 
 
 69.1 1 
 
 54.48 
 
 68.87 
 
 54.78 
 
 ; 68.63 
 
 55.08 
 
 68.39 
 
 55.38 
 
 88 
 
 89 
 
 70.37 
 
 54.49 
 
 70.13 
 
 54.79 
 
 69.89 
 
 55.10 
 
 69.65 
 
 55.40 
 
 '69.41 
 
 55.71 
 
 69.17 
 
 56. 01 
 
 89 
 
 90 
 
 71.16 
 
 55.10 
 
 70.92 
 
 55.41 
 
 70.68 
 
 55.72 
 
 70.43 
 
 56.03 
 
 70.19 
 
 56.33 
 
 69.94 
 
 56.64 
 
 90 
 
 91 
 
 71.95 
 
 55.71 
 
 71.71 
 
 56.03 
 
 71.46 
 
 56.34 
 
 71.22 
 
 56.65 
 
 1 
 
 70-97 
 
 56.96 
 
 70.72 
 
 57.27 
 
 9' 
 
 92 
 93 
 94 
 
 72.74 
 
 56.32 
 
 72. 5o 
 
 56.64 
 
 72.25 
 
 56.96 
 
 72.00 
 
 57.27 
 
 '71-75 
 
 57.58 
 
 71.50 
 
 57.90 
 
 9^ 
 
 73.53 
 
 56.94 
 
 73.28 
 
 57.26 
 
 73.03 
 
 57.58 
 
 172.78 
 
 57.89 
 
 72.53 
 
 58.21 
 
 72.27 
 
 58.53 
 
 93 
 
 74.32 
 
 57.55 
 
 74.07 
 
 57.87 
 
 73.82 
 
 58.19 
 
 73.57 
 
 58.52 
 
 73.31 
 
 58.84 
 
 73.05 
 
 59.16 
 
 94 
 
 r 
 
 7^ 
 
 95 
 
 75.12 
 
 58.16 
 
 74.86 
 
 58.49 
 
 74.61 
 
 58.8i 
 
 74.35 
 
 59.14 
 
 74.09 
 
 59.46 
 
 73.83 
 
 5979 
 
 95 
 
 96 
 
 75.91 
 
 58.77 
 
 75.65 
 
 59.10 
 
 75.39 
 
 59.43 
 
 75.13 
 
 59.76 
 
 74.87 
 
 60.09 
 
 74.61 
 
 60.41 
 
 96 
 
 97 
 98 
 
 76.70 
 
 77. 4g 
 
 59.39 
 60.00 
 
 76.44 
 77.22 
 
 59.72 
 60.33 
 
 76.18 
 76.96 
 
 60. o5 
 60.67 
 
 '75.91 
 
 76.70 
 
 6o.38 
 61.01 
 
 75.65 
 76.43 
 
 60.71 
 61.34 
 
 73.38 
 76.16 
 
 61.04 
 61.67 
 
 97 
 98 
 
 99 
 100 
 
 78.28 
 
 60. 6I; 78.01 
 
 60.95 
 
 77.75 
 
 61.29 
 
 77-48 
 
 61.63 
 
 77.21 
 
 61.97 
 
 76.94 
 
 62.30 
 
 99 
 
 79.07 
 
 61.22 78.8c 
 
 ) 61.57 
 
 78.53 
 Dep. 
 
 61.91 
 
 78.26 
 
 62.25 
 
 77-99 
 
 62.59 
 
 1 Lat. 
 
 77.71 
 
 62.93 
 
 1 00 
 
 1 
 
 U 
 
 a 
 ft 
 
 m 
 
 Q 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Dep. 
 
 Lat 
 
 5214 Deg. 
 
 53 Beg. 
 
 51% Beg. 
 
 51K Deg. 
 
 51 K Deg. 
 
 51 Beg. 
 
188 
 
 Traverse Table. 
 
 
 7 
 8 
 
 9 
 
 lO 
 
 II 
 
 12 
 
 i3 
 
 i4 
 i5 
 
 i6 
 I? 
 
 39K Deg. 
 
 Lilt. 
 
 0.77 
 
 1.55 
 
 2.32 
 
 3.10 
 
 3.87 
 
 4.65 
 5.42 
 6.20 
 6.97 
 
 7.74 
 
 8.52 
 
 9.29 
 
 10.07 
 
 10.84 
 
 1 1.62 
 
 12.39 
 i3.i6 
 13.94 
 
 19 14.71 
 
 20 i5.49 
 
 Dep. 
 
 391^ Deg. 
 
 21 
 22 
 23 
 
 24 
 
 25 
 
 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 
 
 16.26 
 17.04 
 17.81 
 18.59 
 19.36 
 
 20. i3 
 20.91 
 21.68 
 
 22.46 
 23.23 
 
 24.01 
 
 24.78 
 
 25.55 
 26.33 
 27.10 
 
 27.88 
 28.65 
 29.43 
 3o.2o 
 
 30.98 
 31.75 
 
 32.52 
 
 33. 3o 
 34.07 
 34.85 
 
 0.63 
 1.27 
 1.90 
 2.53 
 3.16 
 
 3.80 
 4.43 
 5.06 
 5.69 
 6.33 
 
 6.96 
 7.59 
 8.23 
 8.86 
 9.49 
 
 10.12 
 10.76 
 11.39 
 12.02 
 12.65 
 
 13.29 
 13.92 
 
 14.55 
 i5.i8 
 15.82 
 
 16.45 
 17.08 
 17.72 
 18.35 
 18.98 
 
 19.61 
 20.25 
 20.88 
 21. 5i 
 
 22.14 
 22.78 
 
 23. 4i 
 
 24.04 
 
 24.68 
 
 25. 3i 
 
 25.94 
 26.57 
 27.21 
 27.84 
 28.47 
 
 Lat. 
 
 0.77 
 1.54 
 
 2.3l 
 
 3.09 
 
 3.86 
 
 4.63 
 5.4o 
 6.17 
 6.94 
 
 7.72 
 
 8.49 
 
 9.26 
 
 10. o3 
 
 10.80 
 
 11.57 
 
 12.35 
 
 l3.I2 
 
 13.89 
 i4.66 
 i5.43 
 
 16.20 
 16.98 
 17.75 
 18.52 
 19.29 
 
 20.06 
 20.83 
 21.61 
 
 22.38 
 
 23. i5 
 
 23.92 
 24.69 
 25.46 
 26.24 
 27.01 
 
 Dep. 
 
 35.62 
 36. 4o 
 37.17 
 37.95 
 38.72 
 
 Dep. Lat. 
 
 29.10 
 29.74 
 30.37 
 3 1.00 
 31.64 
 
 50% Deg. 
 
 27.78 
 28.55 
 29.32 
 30.09 
 3o.86 
 
 31.64 
 32. 4i 
 
 33.18 
 33.95 
 34.72 
 
 35.49 
 
 36.27 
 37.04 
 37.81 
 38.58 
 
 S9% Deg. 
 
 Lat. 
 
 Dep. 
 
 0.64 
 1.27 
 1.91 
 2.54 
 3.18 
 
 3.82 
 4.45 
 5.09 
 5.72 
 6.36 
 
 7.00 
 7.63 
 8.27 
 8.91 
 9.54 
 
 0.18 
 0.81 
 1.45 
 2.09 
 
 2.72' 
 
 3.36 
 3.99 
 4.63 
 5.27 
 5.90 
 
 6.54 
 
 7.17 
 7.81 
 8.45 
 9.08 
 
 19.7 
 
 20.35 
 
 20.99 
 
 21.63 
 
 22.26 
 
 22.90 
 23.53 
 
 24.17 
 24.81 
 
 25.44 
 
 26.08 
 26.72 
 27.35 
 27.99 
 28.62 
 
 0.77 
 1.54 
 
 2.3l 
 
 3.08 
 
 3.84 
 
 4.61 
 5.38 
 6.i5 
 6.92 
 7.69 
 
 8.46 
 9.23 
 
 9-99 
 10.76 
 
 11.53 
 
 12. 3o 
 i3.07 
 i3.84 
 i4.6i 
 i5.38 
 
 i6.i5 
 16.91 
 
 17.68 
 18.45 
 19.22 
 
 19.99 
 20.76 
 21.53 
 22. 3o 
 23.07 
 
 23.83 
 24.60 
 25.37 
 26.14 
 26.91 
 
 27.68 
 28.45 
 29.22 
 29.98 
 30.75 
 
 0.64 
 1.28 
 1.92 
 2.56 
 3.20 
 
 3.84 
 4.48 
 5.12 
 5.75 
 6.39 
 
 7.o3 
 7.67 
 8.3i 
 8.95 
 9.59 
 
 10. 23 
 10.87 
 11. 5i 
 12. i5 
 12.79 
 
 i3.43 
 14.07 
 
 14.71 
 i5.35 
 
 15.99 
 
 i6.63 
 17.26 
 17.90 
 
 18.54 
 19.18 
 
 19.82 
 20.46 
 21.10 
 21.74 
 
 22,38 
 23.02 
 
 23.66 
 24. 3o 
 24.94 
 25.58 
 
 40 Deg. 
 
 Lat. 
 
 Dep. 
 
 Dep. 
 
 29.26 
 29.90 
 3o.53 
 31.17 
 3i.8o 
 
 3i.52 26.22 
 32.29 26.86 
 
 Lat. 
 
 50K Deg. 
 
 33.06 
 33.83 
 34.60 
 
 35.37 
 36.14 
 36.90 
 
 37.67 
 38.44 
 
 Dep. 
 
 27.50 
 28.14 
 28.77 
 
 29.41 
 3o.o5 
 30.69 
 31.33 
 31.97 
 
 0.77 
 1.53 
 2.3o 
 
 3.06 
 
 3.83 
 
 4.60 
 5.36 
 6.i3 
 6.89 
 7.66 
 
 8.43 
 
 9.19 
 
 9.96 
 
 10.72 
 
 11.49 
 
 12.26 
 
 l3.02 
 
 i3.79 
 i4.55 
 i5.32 
 
 16.09 
 16. 85 
 17.62 
 18.39 
 19.15 
 
 19.92 
 
 20.68 
 21.45 
 22.22 
 22.98 
 
 23.75 
 24. 5i 
 25.28 
 26.05 
 26,81 
 
 27.58 
 28.34 
 29.1 1 
 29.88 
 30.64 
 
 40K Deg. 
 
 0.64 
 1.29 
 1.93 
 2.57 
 3.21 
 
 3.86 
 4.5o 
 5.i4 
 5.79 
 6.43 
 
 7.07 
 
 7.71 
 8.36 
 9.00 
 9.64 
 
 10.28 
 10.93 
 1 1.57 
 12.21 
 
 12.86 
 
 i3.5o 
 
 i4.i4 
 14.78 
 1 5.43 
 16.07 
 
 16.71 
 17.36 
 1 8.00 
 18.64 
 19.28 
 
 19.9 
 
 20.57 
 
 21.21 
 
 21.85 
 22. 5o 
 
 23. i4 
 23.78 
 24.43 
 25.07 
 25,71 
 
 Lat. 
 
 Dep. 
 
 3i,4i 26.35 
 32.17! 27.00 
 
 Lat. 
 
 50K Deg. 
 
 32,94 
 33.71 
 
 34.47 
 
 35.24 
 36. 00 
 36.77 
 37.54 
 38. 3o 
 
 Dep. 
 
 0.76 
 1.53 
 2.29 
 3.o5 
 3.82 
 
 4.58 
 5.34 
 6.11 
 6.87 
 7.63 
 
 8.4o 
 
 9.16 
 
 9.92 
 
 10.69 
 
 11.45 
 
 12.21 
 12.97 
 13.74 
 i4.5o 
 1 5.26 
 
 16. o3 
 16.79 
 
 17.55 
 18.32 
 19.08 
 
 19.84 
 20.61 
 21.37 
 
 401^ Deg. 
 
 lAt. 
 
 0.65 
 1.29 
 
 1.94 
 2.58 
 3,23 
 
 3,88 
 
 4.52 
 
 5,17 
 5.82 
 6,46 
 
 7. II 
 7.75 
 8.40 
 9.05 
 9.69 
 
 10.34 
 10.98 
 11.63 
 12.28 
 12.92 
 
 x3.57 
 
 l4.21 
 
 14.86 
 
 i5.5i 
 i6.i5 
 
 16.80 
 
 17.45 
 18,09 
 
 22.l3| 18.74 
 2.90 19.38 
 
 27.64 
 28.28 
 28.93 
 
 29.57 
 
 3o.2i 
 3o.85 
 3i.5o 
 32. i4 
 
 Lat. 
 
 50 Deg. 
 
 23.66 
 24.42 
 25.19 
 25.95 
 26.71 
 
 27.48 
 28.24 
 29.00 
 29.77 
 30.53 
 
 31.29 
 32.06 
 32.82 
 33.58 
 34.35 
 
 35.11 
 35.87 
 36.64 
 37.40 
 38.16 
 
 Dep. 
 
 20. o3 
 20.68 
 21,32 
 21,97 
 22,61 
 
 23.26 
 23.91 
 
 24.55 
 25.20 
 
 25.84 
 
 26.49 
 27.14 
 27.78 
 28.43 
 29.08 
 
 29.72 
 30.37 
 3i.oi 
 31.66 
 32. 3i 
 
 0.76 
 
 1.52 
 
 2.28 
 3,o4 
 3,80 
 
 4.56 
 5.32 
 6.08 
 6.84 
 7.60 
 
 8.36 
 
 9.12 
 
 9.89 
 
 10.65 
 
 1 1.4 1 
 
 12.17 
 12.93 
 13.69 
 
 14.45 
 
 l5.21 
 
 15.97 
 16.73 
 
 17.49 
 18.25 
 
 19.01 
 
 19.77 
 
 20.53 
 21.29 
 
 22. o5 
 
 22.81 
 
 23.57 
 24.33 
 25.09 
 
 25.85 
 26.61 
 
 27.37 
 28.13 
 28.90 
 29.66 
 30.42 
 
 3i.i8 
 31.94 
 32.70 
 33.46 
 34.22 
 
 34.98 
 35.74 
 36.5o 
 37.26 
 38.02 
 
 0.65 
 i.3o 
 1.95 
 2.60 
 3.25 
 
 3.90 
 
 4.55 
 5.20 
 
 5.84 
 6.49 
 
 7.14 
 
 7-79 
 8.44 
 9.09 
 
 9-74 
 
 I 
 2 
 3 
 
 4 
 5 
 
 7 
 8 
 
 9 
 10 
 
 1 1 
 12 
 i3 
 
 i4 
 i5 
 
 10.39I 16 
 ii.o4i 17 
 11.69 18 
 12.34 
 12.99 
 
 Dep. Lat 
 
 Deg. 
 
 i3.64 
 14.29 
 14.94 
 15.59 
 16.24 
 
 16.89 
 
 17.54 
 18.1I 
 i8.83 
 19.48 
 
 20. i3 
 20.78 
 21.43 
 22.08 
 22.73 
 
 23.38 
 24.o3 
 
 24.68 
 
 25.33 
 25.98 
 
 26.63 
 
 27.28 
 27.93 
 28.58 
 29.23 
 
 29.87 
 3o.52 
 31.17 
 31.82 
 32.47 
 
 Dep. Lat. 
 
 19 
 
 20 
 
 49K Deg. 
 
 21 
 22 
 
 23 
 
 24 
 
 25 
 
 26 
 27 
 28 
 29 
 
 3o 
 3i 
 
 32 
 
 33 
 
 34 
 35 
 
 36 
 
 37 
 38 
 39 
 40 
 
 4i 
 
 42 
 43 
 
 44 
 45 
 
 46 
 
 47 
 48 
 
 49 
 5o 
 
 3 
 
Traverse Table. 
 
 189 
 
 g 
 s 
 
 a 
 o 
 a 
 
 391^ Deg. 
 
 39% Deg. 
 
 39% Deg. 
 
 40 Deg. 
 
 40K Deg. 
 
 401^ Deg. 
 
 
 S 
 
 1 
 
 5i 
 
 Lat. 
 
 Uep. 
 32.27 
 
 Lat. 
 39.35 
 
 Dep. 
 
 Lat. 
 
 1 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 5i 
 
 39.49 
 
 32.44 
 
 39.21 
 
 32.61 
 
 39.07 
 
 32.78 
 
 38.92 
 
 32.95 
 
 38.7b 
 
 33. t2 
 
 52 
 
 40.27 
 
 32.90 
 
 4o.I2 
 
 33.08 
 
 39.98 
 
 33.25 
 
 39.83 
 
 33.42 
 
 39.69 
 
 33.60 
 
 39.54 
 
 33.77 
 
 52 
 
 53 
 
 4i.o4 
 
 33.53 
 
 40.90 
 
 33.71 
 
 4075 
 
 33.89 
 
 4o.6o 
 
 34.07 
 
 40.45 
 
 34.24 
 
 4o.3o 
 
 34.42 
 
 53 
 
 54 
 
 41.82 
 
 34.17 
 
 41.67 
 
 34.35 
 
 4i.52 
 
 34.53 
 
 41.37 
 
 34.71 
 
 4l.2I 
 
 34.89 
 
 4i.o6 
 
 35.07 
 
 54 
 
 55 
 
 42.59 
 
 34.80 
 
 42.44 
 
 34.98 
 
 42.29 
 
 35.17 
 
 42.13 
 
 35.35 
 
 41.98 
 
 35.54 
 
 41.82 
 
 35.72 
 
 55 
 
 56 
 
 43.37 
 
 35.43 
 
 43.21 
 
 35.62 
 
 43.06 
 
 35.8i 
 
 42.90 
 
 36. 00 
 
 42.74 
 
 36.18 
 
 42.58 
 
 36.37 
 
 56 
 
 5? 
 
 44.14 
 
 36.06 
 
 43.98 
 
 36.26 
 
 43.82 
 
 36.45 
 
 43.66 
 
 36.64 
 
 43. 5o 
 
 36.83 
 
 43.34 
 
 37.02 
 
 57 
 
 58 
 
 44.91 
 
 36.70 
 
 44.75 
 
 36.89 
 
 44.59 
 
 37.09 
 
 44.43 
 
 37.28 
 
 44.27 
 
 37.48 
 
 44.10 
 
 37.67 
 
 58 
 
 59 
 
 45.69 
 
 37.33 
 
 45.53 
 
 37.53 
 
 45.36 
 
 37.73 
 
 45.20 
 
 37.92 
 
 45.03 
 
 38.12 
 
 44.86 
 
 38.32 
 
 59 
 
 6o 
 
 46.46 
 
 37.96 
 
 46. 3o 
 
 38.16 
 
 46.13 
 
 38.37 
 
 45.96 
 
 38.57 
 
 45.79 
 
 38.77 
 
 45.62 
 
 38-97 
 
 60 
 
 6r 
 
 47.24 
 
 38.6o 
 
 47.07 
 
 38.8o 
 
 46.90 
 
 39.01 
 
 46.73 
 
 39.21 
 
 46.56 
 
 39.41 
 
 46.38 
 
 39.62 
 
 61 
 
 62 
 
 48. 01 
 
 39.23 
 
 47.84 
 
 39.44 
 
 47.67 
 
 39.65 
 
 47.49 
 
 39.85 
 
 47.32 
 
 4o.o6 
 
 47.15 
 
 40.27 
 
 62 
 
 63 
 
 48.79 
 
 39.86 
 
 48.61 
 
 40.07 
 
 48.44 
 
 40.28 
 
 48.26 
 
 4o.5o 
 
 48.08 
 
 40.71 
 
 47.91 
 
 40.92 
 
 63 
 
 64 
 
 49.56 
 
 40.49 
 
 49.38 
 
 40.71 
 
 49.21 
 
 40.92 
 
 49.03 
 
 4i.i4 
 
 48.85 
 
 41.35 
 
 48.67 
 
 4i.56 
 
 64 
 
 65 
 
 5o.34 
 
 4i.i3 
 
 5o.i6 
 
 41.35 
 
 49.97 
 
 41.56 
 
 49-79 
 
 41.78 
 
 49.61 
 
 42.00 
 
 49.43 
 
 42.21 
 
 65 
 
 66 
 
 5i.ii 
 
 4r.76 
 
 50.93 
 
 41.98 
 
 50.74 
 
 42.20 
 
 5o.56 
 
 42.42 
 
 50.37 
 
 42.64 
 
 50.19 
 
 42.86 
 
 66 
 
 67 
 
 5i.88 
 
 42.39 
 
 51.70 
 
 42.62 
 
 5i.5i 
 
 42.84 
 
 5i.32 
 
 43.07 
 
 5i.i4 
 
 43.29 
 
 50.95 
 
 43.5i 
 
 67 
 
 68 
 
 52.66 
 
 43.02 
 
 52.47 
 
 43.25 
 
 52.28 
 
 43.48 
 
 52.09 
 
 43.71 
 
 51.90 
 
 43.94 
 
 51.71 
 
 44.16 
 
 68 
 
 69 
 
 53.43 
 
 43.66 
 
 53.24 
 
 43.89 
 
 53.o5 
 
 44.12 
 
 52.86 
 
 44.35 
 
 52.66 
 
 44.58 
 
 52.47 
 
 44.81 
 
 69 
 
 70 
 
 54.21 
 
 44.29 
 
 54.01 
 
 44.53 
 
 53.82 
 
 44.76 
 
 53.62 
 
 45.00 
 
 53.43 
 
 45.23 
 
 53.23 
 
 45.46 
 
 70 
 
 71 
 
 54.98 
 
 44.92 
 
 54.79 
 
 45.16 
 
 54.59 
 
 45.40 
 
 54.39 
 
 45.64 
 
 54.19 
 
 45.87 
 
 53.99 
 
 46.11 
 
 71 
 
 72 
 
 55.76 
 
 45.55 
 
 55.56 
 
 45.80 
 
 55.36 
 
 46.04 
 
 55.16 
 
 46.28 
 
 54.95 
 
 46.52 
 
 54.75 
 
 46.76 
 
 72 
 
 73 
 
 56.53 
 
 46.19 
 
 56.33 
 
 46.43 
 
 56.13 
 
 46.68 
 
 55.92 
 
 46.92 
 
 55.72 
 
 47.17 
 
 55.5i 
 
 47.41 
 
 73 
 
 74 
 
 57.31 
 
 46.82 
 
 57.10 
 
 47.07 
 
 56.89 
 
 47.32 
 
 56.69 
 
 47.57 
 
 56.48 
 
 47.81 
 
 56.27 
 
 48.06 
 
 74 
 
 75 
 
 58.08 
 
 47-45 
 
 57.87 
 
 47.71 
 
 57.66 
 
 47.96 
 
 57.45 
 
 48.21 
 
 57.24 
 
 48.46 
 
 57.03 
 
 48.71 
 
 75 
 
 76 
 
 58.85 
 
 48.09 
 
 58.64 
 
 48.34 
 
 58.43 
 
 48.60 
 
 58.22 
 
 48.85 
 
 58.0I 
 
 49.11 
 
 57.79 
 
 49.36 
 
 76 
 
 77 
 
 59.63 
 
 48.72 
 
 59.42 
 
 48.98 
 
 59.20 
 
 49.24 
 
 58.99 
 
 49.49 
 
 58.77 
 
 49.75 
 
 58.55 
 
 5o.oi 
 
 77 
 
 78 
 
 60.40 
 
 49.35 
 
 60.19 
 
 49.61 
 
 59.97 
 
 49.88 
 
 59.75 
 
 5o.i4 
 
 59.53 
 
 5o.4o 
 
 59.31 
 
 5o.66 
 
 78 
 
 79 
 
 61.18 
 
 49.98 
 
 60.96 
 
 5o.25 
 
 60.74 
 
 5o.52 
 
 60.52 
 
 50.78 
 
 60. 3o 
 
 5i.o4 
 
 60.07 
 
 5i.3i 
 
 79 
 
 80 
 
 61.95 
 
 50.62 
 
 61.73 
 
 50.89 
 
 61. 5i 
 
 5i.i6 
 
 61.28 
 
 5 1. 42 
 
 61.06 
 
 51.69 
 
 60.83 
 
 51.96 
 
 80 
 
 81 
 
 62.73 
 
 5i.25 
 
 62.50 
 
 5i.52 
 
 62.28 
 
 51.79 
 
 62.05 
 
 52.07 
 
 61.82 
 
 52.34 
 
 61.59 
 
 52.61 
 
 81 
 
 82 
 
 63. 5o 
 
 5i.88 
 
 63.27 
 
 52.16 
 
 63.04 
 
 52.43 
 
 62.82 
 
 52.71 
 
 62.59 
 
 52.98 
 
 62.35 
 
 53.25 
 
 82 
 
 83 
 
 64.27 
 
 52. 5i 
 
 64.04 
 
 52.79 
 
 63.8i 
 
 53.07 
 
 63.58 
 
 53.35 
 
 63.35 
 
 53.63 
 
 63.11 
 
 53.90 
 
 83 
 
 84 
 
 65.o5 
 
 53. i5 
 
 64.82 
 
 53.43 
 
 64.58 
 
 53.71 
 
 64.35 
 
 53.99 
 
 64.11 
 
 54.27 
 
 63.87 
 
 54.55 
 
 84 
 
 85 
 
 65.82 
 
 53.78 
 
 65.59 
 
 54.07 
 
 65.35 
 
 5q.35 
 
 65.11 
 
 54.64 
 
 64.87 
 
 54.92 
 
 64.63 
 
 55.20 
 
 85 
 
 86 
 
 66.60 
 
 54.41 
 
 66.36 
 
 54.70 
 
 66.12 
 
 54.99 
 
 65.88 
 
 55.28 
 
 65.64 
 
 55.57 
 
 65.39 
 
 55.85 
 
 86 
 
 87 
 
 67.37 
 
 55.05 
 
 67.13 
 
 55.34 
 
 66.89 
 
 55.63 
 
 66.65 
 
 55.92 
 
 66.4o 
 
 56.21 
 
 66.16 
 
 56.5o 
 
 87 
 
 88 
 
 68.15 
 
 55.68 ;67.9o| 
 
 55.97 
 
 67.66 
 
 56.27 
 
 67.41 
 
 56.57 
 
 67.16 
 
 56.86' 
 
 66.92 
 
 57.15 
 
 88 
 
 89 
 
 68.92 
 
 56.32 
 
 68.67 
 
 56.6i 
 
 68.43 
 
 56.91! 
 
 68.18 
 
 57.21 
 
 67.93 
 
 57.50 
 
 67.68 
 
 57.80 
 
 89 
 
 90 
 
 69.70 
 
 56.94 
 
 69.45 
 
 57.25 
 
 6g.20 
 
 57.55 
 
 68.94 
 
 57.85 
 
 68.69 
 
 58.15 
 
 68.44 
 
 58.45 
 
 90 
 
 91 
 
 70.47 
 
 57.58 
 
 70.22 
 
 57.88 
 
 69.96 
 
 58.19 
 
 69.71 
 
 58.49 
 
 69.45 
 
 58.8o 
 
 69.20 
 
 59.10 
 
 91 
 
 92 
 
 71.24 
 
 58.21 
 
 70.99 
 
 58.52 
 
 70.73 
 
 58.83 
 
 70.48 
 
 59.14 
 
 70.22 
 
 59.44 
 
 69.96 
 
 59.75 
 
 92 
 
 93 
 
 72.02 
 
 58.84 
 
 71.76 
 
 59.16 
 
 71. 5o 
 
 59.47 
 
 71.24 
 
 59.78 
 
 70.98 
 
 60.09 
 
 70.72 
 
 60.40 
 
 93 
 
 94 
 
 72.79 
 
 59.47 
 
 72.53 
 
 59.79 
 
 72.27 
 
 60.11 
 
 72.01 
 
 60.42 
 
 71.74 
 
 60.74 
 
 71.48 
 
 6i.o5 
 
 94 
 
 95 
 
 73.57 
 
 60.11 
 
 73.30 
 
 60.43 
 
 73.04 
 
 60.75 
 
 72.77 
 
 61.06 
 
 72.51 
 
 61.38 
 
 72.24 
 
 61.70 
 
 95 
 
 96 
 
 74.34 
 
 60.74 
 
 74.08 
 
 61.06 
 
 73.81 
 
 61.39 
 
 73.54 
 
 61.71 
 
 73.27 
 
 62.03 
 
 73.00 
 
 62.35 
 
 96 
 
 97 
 
 75.12 
 
 61.37 
 
 74.85 
 
 61.70 
 
 74.58 
 
 62.03 
 
 74.31 
 
 62.35 
 
 74. o3 
 
 62.67 
 
 73.76 
 
 63.00 
 
 97 
 
 98 
 
 75.89 
 
 62.01 
 
 75.62 
 
 62.34 
 
 75.35 
 
 62.66 
 
 75.07 
 
 62.99 
 
 74.80 
 
 63.32 
 
 74.52 
 
 63.65 
 
 98 
 
 99 
 
 76.66 
 
 62.64 
 
 76.39 
 
 62.97 
 
 76.12 
 
 63.3o 
 
 75.84 
 
 63.64 
 
 75.56 
 
 63.97 75.28 
 
 64. 3o 
 
 99 
 
 Distance. ■ 
 
 ■ 
 
 77-44 
 
 63.27! 
 
 77.16 
 
 63. 61 
 
 76.88 
 
 63.94 
 
 76.60 
 
 64.28 
 
 76.32 
 
 64.61j76.04 
 
 64.94 
 
 100 
 
 Dep. 
 
 Lat. 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 I,at. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 1 
 
 Lat. 
 
 8 
 
 a 
 
 s 
 
 a 
 
 50% Deg. 
 
 50% Deg. 
 
 50K Deg. 
 
 50 Deg. 
 
 49% Deg. 
 
 49}^ Deg. 
 
190 
 
 Traverse Table. 
 
 5 
 
 55' 
 
 a 
 8 
 
 I 
 
 40% Deg. 
 
 41 Deg. 
 
 41)^ Deg. 
 
 41K Deg. 
 
 41% Deg. 
 
 42 Deg. 
 
 D 
 
 Co' 
 
 a 
 n 
 
 Lat. 
 
 Dep. 
 
 LaL 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 Lat. 
 
 Dep. 
 
 0.7C 
 
 0.65 
 
 o.7f 
 
 ) 0.66 
 
 0.75 
 
 0.66 
 
 0.75 
 
 0.66 
 
 0.75 
 
 0.67 
 
 0.74 
 
 0.67 
 
 1 
 
 2 
 
 1.52 
 
 i.3i 
 
 i.5i 
 
 l.3i 
 
 i.5o 
 
 1.32 
 
 I.5o 
 
 1.33 
 
 1.49 
 
 1.33 
 
 1.49 
 
 1.34 
 
 2 
 
 3 
 
 2.27 
 
 r.96 
 
 2.2€ 
 
 1.97 
 
 2.26 
 
 1.98 
 
 2.25 
 
 1.99 
 
 2.2^ 
 
 2.00 
 
 2.23 
 
 2.01 
 
 3 
 
 4 
 
 3.o3 
 
 2.61 
 
 3.02 
 
 2.62 
 
 3.01 
 
 2.64 
 
 3.00 
 
 2.65 
 
 2.98 
 
 2.66 
 
 2.97 
 
 2.68 
 
 4 
 
 5 
 
 3.79 
 
 3.26 
 
 3.77 
 
 3.28 
 
 3.76 
 
 3.3o 
 
 3.74 
 
 3.3i 
 
 3.73 
 
 3.33 
 
 3.72 
 
 3.35 
 
 5 
 
 6 
 
 4.55 
 
 3.92 
 
 4.53 
 
 3.94 
 
 4.5i 
 
 3.96 
 
 4.49 
 
 3.98 
 
 4.48 
 
 4.00 
 
 4.46 
 
 4.01 
 
 6 
 
 7 
 
 5.3o 
 
 4.57 
 
 5.28 
 
 4.59 
 
 5.26 
 
 4.62 
 
 5.24 
 
 4.64 
 
 5.22 
 
 4.66 
 
 5.20 
 
 4.68 
 
 7 
 
 8 
 
 6.06 
 
 5.22 
 
 6.o4 
 
 5.25 
 
 6.01 
 
 5.27 
 
 5.99 
 
 5.3o 
 
 5.97 
 
 5.33 
 
 5.95 
 
 5.35 
 
 8 
 
 9 
 
 6.82 
 
 5.87 
 
 6.79 
 
 5.90 
 
 6.77 
 
 5.93 
 
 6.74 
 
 5.96 
 
 6.71 
 
 5.99 
 
 6.69 
 
 6.02 
 
 9 
 
 10 
 
 7.58 
 
 6.53 
 
 7.55 
 
 6.56 
 
 7.52 
 
 6.59 
 
 7.49 
 
 6.63 
 
 7.46 
 
 6.66 
 
 7.43 
 
 6.69 
 
 10 
 
 II 
 
 8.33 
 
 7.18 
 
 8.3o 
 
 7.22 
 
 8.27 
 
 7.25 
 
 8.24 
 
 7.29 
 
 8.21 
 
 7.32 
 
 8.17 
 
 7.36 
 
 II 
 
 12 
 
 9.09 
 
 7.83 
 
 9.06 
 
 7.87 
 
 9.02 
 
 7.91 
 
 8.99 
 
 7.95 
 
 8.95 
 
 7-99 
 
 8.92 
 
 8.o3 
 
 12 
 
 i3 
 
 9.85 
 
 8.49 
 
 9.81 
 
 8.53 
 
 9-77 
 
 8.57 
 
 9-74 
 
 8.61 
 
 9.70 
 
 8.66 
 
 9.66 
 
 8.70 
 
 i3 
 
 i4 
 
 10.61 
 
 9.14 
 
 10.57 
 
 9.18 
 
 10.53 
 
 9.23 
 
 10.49 
 
 9.28 
 
 10.44 
 
 9.32 
 
 io.4o 
 
 9.37 
 
 i4 
 
 i5 
 
 11.36 
 
 9-79 
 
 11.32 
 
 9-84 
 
 IX.28 
 
 9.89 
 
 11.23 
 
 9.94 
 
 II. 19 
 
 9.99 
 
 II. i5 
 
 10.04 
 
 i5 
 
 i6 
 
 12.12 
 
 10.44 
 
 12.08 
 
 10. 5o 
 
 I2.03 
 
 10.55 
 
 11.98 
 
 10.60 
 
 11.94 
 
 10.65 
 
 11.89 
 
 10.71 
 
 16 
 
 17 
 
 12.88 
 
 11. 10 
 
 12.83 
 
 II. i5 
 
 12.78 
 
 II. 21 
 
 12.73 
 
 11.26 
 
 12.68 
 
 11.32 
 
 12.63 
 
 11.38 
 
 17 
 
 i8 
 
 i3.64 
 
 11.75 
 
 i3.58 
 
 11.81 
 
 i3.53 
 
 11.87 
 
 i3.48 
 
 11.93 
 
 i3.43 
 
 11.99 
 
 13.38 
 
 12. o4 
 
 18 
 
 '9 
 
 14.39 
 
 12.40 
 
 14.34 
 
 12.47 
 
 14.28 
 
 12.53 
 
 14.23 
 
 12.59 
 
 14.18 
 
 12.65 
 
 14.12 
 
 12.71 
 
 19 
 
 20 
 
 i5.i5 
 
 i3.o6 
 
 15.09 
 
 l3.I2 
 
 i5.o4 
 
 13.19 
 
 14.98 
 
 13.25 
 
 14.92 
 
 i3.32 
 
 14.86 
 
 i3.38 
 
 20 
 
 21 
 
 15.91 
 
 13.71 
 
 i5.85 
 
 13.78 
 
 15.79 
 
 13.85 
 
 15.73 
 
 13.91 
 
 15.67 
 
 13.98 
 
 i5.6i 
 
 i4.o5 
 
 21 
 
 22 
 
 16.67 
 
 i4.36 
 
 16.60 
 
 14.43 
 
 16.54 
 
 i4.5i 
 
 16.48 
 
 i4.58 
 
 16.41 
 
 i4.65 
 
 16.35 
 
 14.72 
 
 22 
 
 23 
 
 17.42 
 
 i5.oi 
 
 17.36 
 
 15.09 
 
 17.29 
 
 i5.i6 
 
 17.23 
 
 i5.24 
 
 17.16 
 
 i5.32 
 
 17.09 
 
 15.39 
 
 23 
 
 24 
 
 18.18 
 
 15.67 
 
 18. II 
 
 15.75 
 
 18.04 
 
 15.82 
 
 17.97 
 
 15.90 
 
 17.91 
 
 15.98 
 
 17-84 
 
 16.06 
 
 24 
 
 25 
 
 18.94 
 
 16.32 
 
 18.87 
 
 16.40 
 
 18.80 
 
 16.48 
 
 18.72 
 
 16.57 
 
 18.65 
 
 i6.65 
 
 18.58 
 
 16.73 
 
 25 
 
 26 
 
 19.70 
 
 16.97 
 
 19.62 
 
 17.06 
 
 19.55 
 
 i7-i4 
 
 19.47 
 
 17.23 
 
 19.40 
 
 17.31 
 
 19.32 
 
 17.40 
 
 26 
 
 27 
 
 20.45 
 
 17.62 
 
 20.38 
 
 17.71 
 
 20. 3o 
 
 17.80 
 
 20.22 
 
 17.89 
 
 20.14 
 
 17.98 
 
 20.06 
 
 18.07 
 
 27 
 
 28 
 
 21.21 
 
 18.28; 
 
 21. i3 
 
 18.37 
 
 21. o5 
 
 18.46 
 
 20.97 
 
 18.55 
 
 20.89 
 
 18.64 
 
 20.81 
 
 18.74 
 
 28 
 
 29 
 
 21.97 
 
 18.93 
 
 21.89 
 
 19.03 
 
 21.80 
 
 19.12 
 
 21.72 
 
 19.22 
 
 21.64 
 
 19.31 
 
 21.55 
 
 19.40 
 
 29 
 
 3o 
 
 22.73 
 
 19.58 
 
 22.64 
 
 19.68 
 
 22.56 
 
 19.78 
 
 22.47 
 
 19.88 
 
 22.38 
 
 19.98 
 
 22.29 
 
 20.07 
 
 3o 
 
 3i 
 
 23.48 
 
 20.24 
 
 23.4o 
 
 20.34 
 
 23.3i 
 
 20.44 
 
 23.22 
 
 20.54 
 
 23.13 
 
 20.64 
 
 23.o4 
 
 20.74 
 
 3i 
 
 32 
 
 24.24 
 
 20.89 
 
 24. i5 
 
 20.99 
 
 24.06 
 
 21.10 
 
 23.97 
 
 21.20 
 
 23.87 
 
 21. 3i 
 
 23.78' 
 
 21. 4i 
 
 32 
 
 33 
 
 25.00 
 
 21.54' 
 
 24.91 
 
 21.65 
 
 24.81 
 
 21.76 
 
 24.72 
 
 21.87 
 
 24.62 
 
 21.97 
 
 24.52 
 
 22.08 
 
 33 
 
 34 
 
 25.76 
 
 22.19 
 
 25.66 
 
 22. 3i 
 
 25.56 
 
 22.42 
 
 25.46 
 
 22.53 
 
 25.37 
 
 22.64 
 
 25.27' 
 
 22.75 
 
 34 
 
 35 
 
 26.51 
 
 22.85 
 
 26.41 
 
 22.96 
 
 26.31 
 
 23.08 
 
 26.21 
 
 23.19 
 
 26.11 
 
 23.31 
 
 26.01 
 
 23.42 
 
 35 
 
 36 
 
 27.27 
 
 23. 5o 
 
 27.17 
 
 23.62 
 
 27.07 
 
 23.74 
 
 26.96 
 
 23.85 
 
 26.86 
 
 23.97 
 
 26.75 
 
 24.09 
 
 36 
 
 37 
 
 28.03 
 
 24.15 
 
 27.92 
 
 24.27 
 
 27.82 
 
 24.40 
 
 27.71 
 
 24.52 
 
 27.60 
 
 24.64 
 
 27.50 
 
 24.76 
 
 37 
 
 38 
 
 28.79 
 
 24.80' 
 
 28.68 
 
 24.93 
 
 28.57 
 
 25.06 
 
 28.46 
 
 25.18 
 
 28.35 
 
 25.3o 
 
 28.24j 
 
 25.43 
 
 38 
 
 39 
 
 29.54 
 
 25.46 
 
 29.43 
 
 25.59 
 
 29.32 
 
 25.71 
 
 29.21 
 
 25.84 
 
 29.10 
 
 25.97 
 
 28.981 
 
 26.10 
 
 39 
 
 4o 
 
 3o.3o 
 
 26.11 
 
 30.19 
 
 26.24 
 
 30.07 
 
 26.37 
 
 29.96 
 
 26. 5o 
 
 29.84 
 
 26.64 
 
 29.73 
 
 26.77 
 
 4o 
 
 4i 
 
 3i.o6 
 
 26.761 
 
 30.94 
 
 26.90 
 
 3o.83 
 
 27.03 
 
 30.71 
 
 27.17 
 
 30.59 
 
 27.30 
 
 30.47 
 
 27.43 
 
 4i 
 
 42 
 
 31.82 
 
 27.42' 
 
 31.70 
 
 27.55 
 
 3i.58 
 
 27.69 
 
 31.46 
 
 27.83 
 
 31.33 
 
 27.97 
 
 3l.2I 
 
 28.10 
 
 42 
 
 43 
 
 32.58 
 
 28.07 
 
 32.45 
 
 28.21 
 
 32.33 
 
 28.35 
 
 32.21 
 
 28.49' 
 
 32.08 
 
 28.63 
 
 31.96 
 
 28.77 
 
 43 
 
 44 
 
 33.33 
 
 28.72 
 
 33.21 
 
 28.87 
 
 33.08 
 
 29.01 
 
 32.95 
 
 29.16 
 
 32.83 
 
 29.30 
 
 32.70 
 
 29.44 
 
 44 
 
 45 
 
 34.09 
 
 29.37 
 
 33.96 
 
 29.52 
 
 33.83 
 
 29.67 
 
 33.70 
 
 29.82 
 
 33.57 
 
 29.97 
 
 33.44 
 
 3o.ii 
 
 45 
 
 46 
 
 34.85 
 
 3o.o3 
 
 34.72 
 
 3o.i8 
 
 34.58 
 
 3o.33 
 
 34.45 
 
 3o.48 34.32 
 
 3o.63 
 
 34.18 
 
 30.78 
 
 46 
 
 47 
 
 35.61 
 
 3o.68' 
 
 35.47 
 
 30.83: 
 
 35.34 
 
 30.99 
 
 35.20 
 
 3i.i4 
 
 35.06 
 
 3i.3o 
 
 34.93' 
 
 3i.45 
 
 47 
 
 48 
 
 36.36 
 
 31.33 
 
 36.23 
 
 31.49' 
 
 36.09 
 
 31.65 
 
 35.95: 
 
 3i.8i 
 
 35.81 
 
 31.96 
 
 35.67 
 
 32.12 
 
 48 
 
 49 
 
 37.12 
 
 31.99 
 
 36.98 
 
 32.15 
 
 36.84 
 
 32. 3i 
 
 36.70 
 
 32.47 
 
 36.56 
 
 32.63 
 
 36.4i 
 
 32.79 
 
 49 
 
 5o 
 
 i 
 
 s 
 
 37.88 
 
 32.64| 
 
 37.74 
 
 32.80 
 
 37.59 
 
 32.97 
 Lat. 
 
 37.45,33.13 
 
 Dep. Lat. | 
 
 37.30 
 
 33.29 
 
 37.16 
 
 33.46 
 
 5o 
 
 Dep. 
 
 I-at. 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 e 
 
 a 
 a 
 
 Q 
 
 49K Deg. 
 
 49 Deg. 
 
 48% Deg. 
 
 mi Deg. 
 
 48% Deg. 
 
 48 r 
 
 )eg. 
 

 
 
 
 '1 
 
 'r A VERSE T 
 
 ABLE. 
 
 
 
 
 191 
 
 
 403^ Deg. 
 
 41 Deg. 
 
 41% Deg. 
 
 411^ Deg. 
 
 41% Deg. 
 
 42 Dog. 
 
 a 
 
 a 
 
 Lat. 
 
 Dep. 
 33.29 
 
 Lat. 
 
 Dep. [ 
 
 Lat. Dep. 
 
 Lat. 
 
 Dep. 
 
 l>at. 
 
 Dep. 
 33.96 
 
 Lat. 
 
 Ik'P. 
 
 5i 
 
 38.64 
 
 38.49 
 
 33.46 
 
 38.34 
 
 33.63 
 
 38.20 
 
 33.79 
 
 38.05 
 
 37.90 
 
 34.13 
 
 5i 
 
 52 
 
 39.39 
 
 33.94 
 
 39.24 
 
 34.12 
 
 39.10 
 
 34.29 
 
 38.95 
 
 34.46 
 
 38.79 
 
 34.63 
 
 38.64 
 
 34.79 
 
 52 
 
 53 
 
 4o.i5 
 
 34.60 
 
 4o.oo 
 
 34.77' 
 
 39.85 
 
 34.95 
 
 39.69 
 
 35.12 
 
 39.54 
 
 35.29 
 
 39.39 
 
 35.46 
 
 53 
 
 54 
 
 40.91 
 
 35.25 
 
 40.75 
 
 35.431 
 
 4o.6o 
 
 35.60 
 
 40.44 
 
 35.78 
 
 40.29 
 
 35.96 
 
 4o.i3 
 
 36.13 
 
 54 
 
 55 
 
 41.67 
 
 35.90 
 
 4i.5i 
 
 36.08 
 
 41.35 
 
 36.26 
 
 41.19 
 
 36.44 
 
 4i.o3 
 
 36.62 
 
 40.87 
 
 36.8o 
 
 55 
 
 56 
 
 42.42 
 
 36.55 
 
 42.26 
 
 36.74 
 
 42.10 
 
 36.92 
 
 41.94 
 
 37.11 
 
 41.78 
 
 37.29 
 
 41.62 
 
 37.47 
 
 56 
 
 5? 
 
 43.18 
 
 37.21 
 
 43.02 
 
 37.40 
 
 42.85 
 
 37.58 
 
 42.69 
 
 37.77 
 
 42.53 
 
 37.96 
 
 42.36 
 
 38.14 
 
 57 
 
 58 
 
 43.94 
 
 37.86 
 
 43.77 
 
 38.o5 
 
 1 
 
 43.61 
 
 38.24 
 
 43.44 
 
 38.43 
 
 43.27 
 
 38.62 
 
 43.10 
 
 38.8i 
 
 58 
 
 59 
 
 44.70 
 
 38.5i 
 
 44.53 
 
 38.71 
 
 44.36 
 
 38.90 
 
 44.19 
 
 39.09 
 
 44.02 
 
 39.29 
 
 43.85 
 
 39.48 
 
 59 
 
 60 
 
 45.45 
 
 39.17 
 
 45.28 
 
 39.36 
 
 45.11 
 
 39.56 
 
 44.94 
 
 39.76 
 
 44.76 
 
 39.95 
 
 44.59 
 
 4o.i5 
 
 60 
 
 61 
 
 46.21 
 
 39.82 
 
 46.04 
 
 40.02 
 
 45.86 
 
 4o.22 
 
 45.69 
 
 40.42 
 
 45.5i 
 
 40.62 
 
 45.33 
 
 40.82 
 
 61 
 
 62 
 
 46.97 
 
 40.47 
 
 46.79 
 
 40.68 
 
 46.61 
 
 40.88 
 
 46.44 
 
 41.08 
 
 46.26 
 
 41.28 
 
 46.07 
 
 41.49 
 
 62 
 
 63 
 
 47.73 
 
 41.12 
 
 47.55 
 
 4i.33j 
 
 47.37 
 
 41.54 
 
 47.18 
 
 41.75 
 
 47.00 
 
 41.95 
 
 46.82 
 
 42.16 
 
 63 
 
 64 
 
 48.48 
 
 41.78 
 
 48. 3o 
 
 41.99 
 
 48.12 
 
 42.20 
 
 47.93 
 
 42.41 
 
 47.75 
 
 42.62 
 
 47.56 
 
 42.82 
 
 64 
 
 65 
 
 49.24 
 
 42.43 
 
 49.06 
 
 42.64 
 
 48.87 
 
 42.86 
 
 48.68 
 
 43.07 
 
 48.49 
 
 43.28 
 
 48.3o 
 
 43.49 
 
 65 
 
 66 
 
 5o.oo 
 
 43.08 
 
 49.81 
 
 43. 3o 
 
 49.62 
 
 43.52 
 
 49.43 
 
 43.73 
 
 49.24 
 
 43.95 
 
 49.05 
 
 44.16 
 
 66 
 
 67 
 
 50.76 
 
 43.73 
 
 50.57 
 
 43.96' 
 
 50.37 
 
 44.18 
 
 5o.i8 
 
 44.4o 
 
 49.99 
 
 44.61 
 
 49.79 
 
 44.83 
 
 67 
 
 68 
 
 5i.5i 
 
 44.39 
 
 5i.32 
 
 44.61 
 
 5i.i3 
 
 44.84 
 
 50.93 
 
 45.06 
 
 50.73 
 
 45.28 
 
 5o.53 
 
 45. 5o 
 
 68 
 
 69 
 
 52.27 
 
 45.04 
 
 52.07 
 
 45.27 
 
 5i.88 
 
 45.49 
 
 5 1. 68 
 
 45.72 
 
 5 1. 48 
 
 45.95 
 
 51.28 
 
 46.17 
 
 69 
 
 70 
 
 53.03 
 
 45.69 
 
 52.83 
 
 45.92 
 
 52.63 
 
 46.15 
 
 52.43 
 
 46.38 
 
 52.22 
 
 46.61 
 
 52.02 
 
 46.84 
 
 70 
 
 71 
 
 53.79 
 
 46.35 
 
 53.58 
 
 46.58 
 
 53.38 
 
 46.81 
 
 53.18 
 
 47.05 
 
 52.97 
 
 47.28 
 
 52.76 
 
 47.51 
 
 71 
 
 72 
 
 54.54 
 
 47.00 
 
 54.34 
 
 47.24 
 
 54.13 
 
 47.47 
 
 53.92 
 
 47.71 
 
 53.72 
 
 47.94 
 
 53. 5i 
 
 48.18 
 
 72 
 
 73 
 
 55. 3o 
 
 47.65 
 
 55.09 
 
 47.89 
 
 54.88 
 
 48.13 
 
 54.67 
 
 48.37 
 
 54.46 
 
 48.61 
 
 54.25 
 
 48.85 
 
 73 
 
 74 
 
 56.06 
 
 48. 3o 
 
 55.85 
 
 48.55 
 
 55.64 
 
 48.79 
 
 55.42 
 
 49.03 
 
 55.21 
 
 49.28 
 
 54.99 
 
 49.52 
 
 74 
 
 75 
 
 56.82 
 
 48.96 
 
 56.6o 
 
 49.20 
 
 56.39 
 
 49.45 
 
 56.17 
 
 49.70 
 
 55.95 
 
 49.94 
 
 55.74 
 
 5o.i8 
 
 75 
 
 76 
 
 57.57 
 
 49.61 
 
 57.36 
 
 49.86 
 
 57.14 
 
 5o.ii 
 
 56.92 
 
 50.36 
 
 56.70 
 
 5o.6i 
 
 56.48 
 
 5o.85 
 
 76 
 
 77 
 
 58.33 
 
 5o.26 
 
 58.11 
 
 5o.52 
 
 57.89 
 
 50.77 
 
 57.67 
 
 5l.02 
 
 57.45 
 
 51.27 
 
 57.22 
 
 5i.52 
 
 77 
 
 78 
 
 59.09 
 
 50.92 
 
 58.87 
 
 5i.i7 
 
 58.64 
 
 5i.43 
 
 58.42 
 
 51.68 
 
 58.19 
 
 51.94 
 
 57.97 
 
 52.19 
 
 78 
 
 79 
 
 59.85 
 
 51.57 
 
 59.62 
 
 5i.83 
 
 59.40 
 
 52.09 
 
 59.17 
 
 52.35 
 
 58.94 
 
 52.60 
 
 58.71 
 
 52.86 
 
 79 
 
 80 
 
 60.61 
 
 52.22 
 
 60.38 
 
 52.48 
 
 60. i5 
 
 52.75 
 
 59.92 
 
 53.01 
 
 59.68 
 
 53.27 
 
 59.45 
 
 53.53 
 
 80 
 
 81 
 
 6i.36 
 
 52.87 
 
 61. i3 
 
 53.14 
 
 60.90 
 
 53.41 
 
 60.67 
 
 53.67 
 
 60.43 
 
 53.94 
 
 60.19 
 
 54.20 
 
 81 
 
 82 
 
 62.12 
 
 53.53 
 
 61.89 
 
 53.80 
 
 6i.65 
 
 54.07 
 
 6i.4i 
 
 54.33 
 
 61.18 
 
 54.60 
 
 60.94 
 
 54.87 
 
 82 
 
 83 
 
 62.88 
 
 54.i8| 
 
 62.64 
 
 54.45 
 
 62.40 
 
 54.73 
 
 62.16 
 
 55.00 
 
 61.92 
 
 55.27 
 
 61.68 
 
 55.54 
 
 83 
 
 84 
 
 63.64 
 
 54.83, 
 
 63.4o 
 
 55.11 
 
 63. i5 
 
 55.38 
 
 62.91 
 
 55.66 
 
 62.67 
 
 55.93 
 
 62.42 
 
 56.21 
 
 84 
 
 85 
 
 64.39 
 
 55.48 
 
 64. i5 
 
 55.76 
 
 63.91 
 
 56. o4 
 
 63.66 
 
 56.32 
 
 63.4i 
 
 56.6o 
 
 63.17 
 
 56.88 
 
 85 
 
 86 
 
 65. i5 
 
 56.14 
 
 64.90 
 
 56.42 
 
 64.66 
 
 56.70 
 
 64.4i 
 
 56.99 
 
 64.16 
 
 57.27 
 
 63.91 
 
 57.55 
 
 86 
 
 87 
 
 65.91 
 
 56.79' 
 
 65.66 
 
 57.08 
 
 65.4i 
 
 57.36] 
 
 65.16 
 
 57.65 
 
 64.91 
 
 57.93 
 
 64.65 
 
 58.21 
 
 87 
 
 88 
 
 66.67 
 
 57.44 |66.4i 
 
 57.73 
 
 66.16 
 
 58.02 
 
 65.91 
 
 58.31 
 
 65.65 
 
 58. 60 
 
 65.4o 
 
 58.88 
 
 88 
 
 89 
 
 67.42 
 
 58. 10 
 
 67.17 
 
 58.39 
 
 66.91 
 
 58.68 
 
 66.66 
 
 58.971 
 
 66.40 
 
 59.26 
 
 66.14 
 
 59.55 
 
 89 
 
 90 
 
 68.18 
 
 58.75 
 
 67.92 
 
 59.05 
 
 67.67 
 
 59.34 
 
 67.41 
 
 59.64 
 
 67.15 
 
 59.93 
 
 66.88 
 
 60.22 
 
 90 
 
 91 
 
 68.94 
 
 59.40 
 
 68.68 
 
 59.70 
 
 68.42 
 
 60.00 
 
 68. i5 
 
 60. So 
 
 67.89 
 
 60.60 
 
 67.63 
 
 60.89 
 
 91 
 
 92 
 
 69.70 
 
 60. o5 
 
 69.43 
 
 6o.36 
 
 69.17 
 
 60.66 
 
 68.90 
 
 60.96 
 
 68.64 
 
 61.26 
 
 68.37 
 
 61.56 
 
 K 
 
 93 
 
 70.45 
 
 60.71 
 
 70.19 
 
 61.01 
 
 69.92 
 
 61.32 
 
 69.65 
 
 61.62 
 
 69.38 
 
 61.93 
 
 69.1 1 
 
 62.23 
 
 93 
 
 94 
 
 71.21 
 
 61.36 
 
 70.94 
 
 61.67 
 
 70.67 
 
 61.98 
 
 70.40 
 
 62.29 
 
 70.13 
 
 62.59 
 
 69.86 
 
 62.90 
 
 94 
 
 95 
 
 71.97 
 
 62.01 
 
 71.70 
 
 62.33 
 
 71.43 
 
 62.64 
 
 71. i5 
 
 62.95 
 
 70.88 
 
 63.26 
 
 70.60 
 
 63.57 
 
 95 
 
 96 
 
 72.73 
 
 62.66 
 
 72.45 
 
 62.98 
 
 72.18 
 
 63.3o 
 
 71.90 
 
 63.6i 
 
 71.62 
 
 63.92 
 
 71.34 
 
 64.24 
 
 96 
 
 7 
 
 97 
 
 73.48 
 
 63. 32'! 73.21 
 
 63.64 
 
 72.93 
 
 63.96 
 
 72.65 
 
 64.27 
 
 72.37 
 
 64.59 
 
 72.08 
 
 64.91 
 
 97 
 
 
 
 7 ' 
 
 98 
 
 74.24 
 
 63.97^73.96 
 
 64.29 
 
 73.68 
 
 64.62 
 
 73.40 
 
 64.94 
 
 73.1 1 
 
 65.26 
 
 72.83 
 
 65.57 
 
 98 
 
 99 
 
 75.00 
 
 64.62 1 74.72 
 
 64.95 
 
 74.43 
 
 65.28 
 
 74.15 
 
 65.6o 
 
 73.86 
 
 65.92 
 
 73.57 
 
 66.24 
 
 99 
 
 7 7 
 
 100 
 
 6 
 a 
 2 
 
 a 
 
 75.76 
 
 65.28 
 
 75.47 
 
 65.6i 
 
 75.18 
 
 65.93 
 
 74.90 
 Dep. 
 
 66.26 
 
 74.61 
 
 66.59 
 
 74. 3i 
 
 66.91 
 
 100 
 
 d 
 
 
 B 
 
 3 
 
 00 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat 
 
 49% Deg. 
 
 49 Deg. 
 
 48% Deg. 
 
 48K Deg. 
 
 48% Deg. 
 
 48 Deg. 
 
192 
 
 Traverse Table. 
 
 n 
 P 
 
 I 
 
 4234 Deg. 
 
 423^ Deg. 
 
 423^ Deg. 
 
 43 Deg. 
 
 4314 Deg. 
 
 43M Deg. 
 
 • — 
 
 
 
 a 
 
 
 Lat. 1 Dep. 
 
 I^t. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 1 Dep. 
 
 Lat. 
 
 Dep. 
 
 0.74 
 
 0.67 
 
 0.74 
 
 0.68 
 
 0.73 
 
 0.68 
 
 0.73 
 
 0.68 
 
 0.73 
 
 0.69 
 
 0.73 
 
 0.69 
 
 I 
 
 2 
 
 1.48 
 
 1.34 
 
 1.47 
 
 1.35 
 
 1.47 
 
 1.36 
 
 1.46 
 
 1.36 
 
 1.46 
 
 1.37 
 
 1.45 
 
 1.38 
 
 2 
 
 3 
 
 2.22 
 
 2.02 
 
 2.21 
 
 2.o3 
 
 2.20 
 
 2.o4 
 
 2.19 
 
 2.o5 
 
 2.19 
 
 2.06 
 
 2.18 
 
 2.07 
 
 3 
 
 4 
 
 2.96 
 3.70 
 
 2.69 
 
 2.95 
 
 2.70 
 
 2.94 
 
 2.72 
 
 2.93 
 
 2.73 
 
 2.91 
 
 2.74 
 
 2.90 
 
 2.75 
 
 4 
 
 5 
 
 3.36 
 
 3.69 
 
 3.38 
 
 3.67 
 
 3.39 
 
 3.66 
 
 3.4i 
 
 3.64 
 
 3.43 
 
 3.63 
 
 3.44 
 
 5 
 
 6 
 
 4.44 
 
 4.o3 
 
 4.42 
 
 4.o5 
 
 4.4i 
 
 4.07 
 
 4.39 
 
 4.09 
 
 4.37 
 
 4.11 
 
 4.35 
 
 4.i3 
 
 6 
 
 7 
 
 8 
 
 5.18 
 
 4.71 
 
 5.16 
 
 4.73 
 
 5.i4 
 
 4.75 
 
 5.12 
 
 4.77 
 
 5.10 
 
 4.80 
 
 5.08 
 
 4.82 
 
 7 
 
 5.92 
 6.66 
 
 5.38 
 
 5.90 
 
 5.4o 
 
 5.87 
 
 5.43 
 
 5.85 
 
 5.46 
 
 5.83 
 
 5.48 
 
 5.80 
 
 5.5i 
 
 8 
 
 9 
 
 10 
 
 6.o5 
 
 6.64 
 
 6.08 
 
 6.61 
 
 6. II 
 
 6.58 
 
 6.i4 
 
 6.56 
 
 6.17 
 
 6.53 
 
 6.20 
 
 9 
 
 7.40 
 
 6.72 
 
 7.37 
 
 6.76 
 
 7.34 
 
 6.79 
 
 7.3i 
 
 6.82 
 
 7.28 
 
 6.85 
 
 7.25 
 
 6.88 
 
 10 
 
 II 
 
 8.i4 
 
 7.40 
 
 8. II 
 
 7.43 
 
 8.08 
 
 1 
 
 7-47! 
 
 8.o4 
 
 7.5o 
 
 8.01 
 
 7.54 
 
 7.98 
 
 7.57 
 
 11 
 
 12 
 
 8.88 
 
 8.07 
 
 8.85 
 
 8. II 
 
 8.81 
 
 8.l5; 
 
 8.78 
 
 8.18 
 
 8.74 
 
 8.22 
 
 8.70 
 
 8.26 
 
 12 
 
 i3 
 
 9.62 
 
 8.74 
 
 9.58 
 
 8.78 
 
 9.55 
 
 8.82 
 
 9.5i 
 
 8.87 
 
 9.47 
 
 8.91 
 
 9.43 
 
 8.95 
 
 i3 
 
 i4 
 
 10. 36 
 
 9.41 
 
 10.32 
 
 9-46 
 
 10.28 
 
 9.50, 
 
 10.24 
 
 9.55 
 
 10.20 
 
 9.59 
 
 10.16 
 
 9.64 
 
 i4 
 
 i5 
 
 II. 10 
 
 10.09 
 
 11.06 
 
 10. i3 
 
 II. 01 
 
 10.18 
 
 10.97 
 
 10. 23 
 
 10.93 
 
 10.28 
 
 10.88 
 
 10.33 
 
 i5 
 
 i6 
 
 11.84 
 
 10.76 
 
 11.80 
 
 10.81 
 
 11.75 
 
 10.86 
 
 1 1.70 
 
 10.91 
 
 11.65 
 
 10.96 
 
 1 1.61 
 
 1 1 01 
 
 16 
 
 I? 
 
 12.58 
 
 11.43 
 
 12.53 
 
 11.48 
 
 12.48 
 
 11.54 
 
 12.43 
 
 11.59 
 
 12.38 
 
 11.65 
 
 12.33 
 
 1 1.70 
 
 17 
 
 i8 
 
 i3.32 
 
 12.10 
 
 13.27 
 
 12.16 
 
 l3.22 
 
 12.22 
 
 i3.i6 
 
 12.28 
 
 i3.ii 
 
 12.33 
 
 i3.o6 
 
 12.39 
 
 18 
 
 19 
 
 14.06 
 
 12.77 
 
 14.01 
 
 12.84 
 
 13.95 
 
 12.90 
 
 13.90 
 
 12.96 
 
 1 3.84 
 
 l3.02 
 
 13.78 
 
 i3.o8 
 
 19 
 
 20 
 
 14.80 
 
 i3.45 
 
 14.75 
 
 i3.5i 
 
 14.69 
 
 i3.58 
 
 14.63 
 
 i3.64 
 
 14.57 
 
 13.70 
 
 i4.5i 
 
 13.77 
 
 20 
 
 21 
 
 i5.54 
 
 l4.I2 
 
 i5.48 
 
 14.19 
 
 I 5.42 
 
 14.25 
 
 i5.36 
 
 14.32 
 
 i5.3o 
 
 14.39 
 
 i5.23 
 
 14.46 
 
 21 
 
 22 
 
 16.28 
 
 14.79 
 
 16.22 
 
 14.86 
 
 16.16 
 
 14.93 
 
 16.09 
 
 1 5.00 
 
 16.02 
 
 15.07 
 
 15.96 
 
 i5.i4 
 
 22 
 
 23 
 
 17.02 
 
 1 5.46 
 
 16.96 
 
 i5.54 
 
 16.89 
 
 i5.6i 
 
 16.82 
 
 15.69 
 
 16.75 
 
 15.76 
 
 16.68 
 
 i5.83 
 
 23 
 
 24 
 
 17.77 
 
 16.14 
 
 17.69 
 
 16.21 
 
 17.62 
 
 16.29 
 
 17.55 
 
 16.37 
 
 17-48 
 
 16.44 
 
 17.41 
 
 16.52 
 
 24 
 
 25 
 
 i8.5i 
 
 i6.8i 
 
 18.43 
 
 16.89 
 
 18.36 
 
 16.97 
 
 18.28 
 
 17.05 
 
 18.21 
 
 17.13 
 
 18. i3 
 
 17.21 
 
 25 
 
 26 
 
 19.25 
 
 17-48 
 
 19.17 
 
 17.57 
 
 19.09 
 
 17.65 
 
 19.02 
 
 17.73 
 
 18.94 
 
 17.81 
 
 18.86 
 
 17.90 
 
 26 
 
 27 
 
 19.99 
 
 18. i5 
 
 19.91 
 
 18.24 
 
 19.83 
 
 18.33 
 
 19.75 
 
 18.41 
 
 19.67 
 
 18. 5o 
 
 19.59 
 
 18.59 
 
 27 
 
 28 
 
 20.73 
 
 i8.83 
 
 20.64 
 
 18.92 
 
 20.56 
 
 19.01 
 
 20.48 
 
 19.10 
 
 20.39 
 
 19.19 
 
 20. 3i 
 
 19.27 
 
 28 
 
 29 
 
 21.47 
 
 19.50 
 
 21.38 
 
 19.59 
 
 21. 3o 
 
 19.69 
 
 21.21 
 
 19.78 
 
 21.12 
 
 19.87 
 
 2I.o4 
 
 19.96 
 
 29 
 
 3o 
 
 22.21 
 
 20.17 
 
 22.12 
 
 20.27 
 
 22. o3 
 
 20. 36 
 
 21.94 
 
 20.46 
 
 21.85 
 
 20. 56 
 
 21.76 
 
 20. 65 
 
 3o 
 
 3i 
 
 22.95 
 
 20.84 
 
 22.86 
 
 20.94 
 
 22.76 
 
 2i.o4 
 
 22.67 
 
 21. i4 
 
 22.58 
 
 21.24 
 
 22.49 
 
 21.34 
 
 3i 
 
 32 
 
 23.69 
 
 21.52 
 
 23.59 
 
 21.62 
 
 23. 5o 
 
 21.72 
 
 23.4o 
 
 21.82 
 
 23. 3i 
 
 21.93 
 
 23.21 
 
 22. o3 
 
 32 
 
 33 
 
 24.43 
 
 22.19 
 
 24.33 
 
 22.29 
 
 24.23 
 
 22.40 
 
 24. i3 
 
 22. 5i 
 
 24.04 
 
 22.61 
 
 23.94 
 
 22.72 
 
 33 
 
 34 
 
 25.17 
 
 22.86 
 
 25.07 
 
 22.97 
 
 24.97 
 
 23.08 
 
 24.87 
 
 23.19 
 
 24.76 
 
 23. 3o 
 
 24.66 
 
 23.4o 
 
 34 
 
 35 
 
 25.91 
 
 23.53 
 
 25.80 
 
 23.65 
 
 25.70 
 
 23.76 
 
 25.60 
 
 23.87 
 
 25.49 
 
 23.98 
 
 25.39 
 
 24.09 
 
 35 
 
 36 
 
 26.65 
 
 24.21 
 
 26.54 
 
 24.32 
 
 26.44 
 
 24.44 
 
 26.33 
 
 24.55 
 
 26.22 
 
 24.67 
 
 26.1 I 
 
 24.78 
 
 36 
 
 37 
 
 27.39 
 
 24.88 
 
 27.28 
 
 25.00 
 
 27.17 
 
 25.12 
 
 27.06 
 
 25.23 
 
 26.95 
 
 25.35 
 
 26.84 
 
 25.47 
 
 37 
 
 38 
 
 28.13 
 
 25.55 
 
 28.02 
 
 25.67 
 
 27.90 
 
 25.79 
 
 27.79 
 
 25.92 
 
 27.68 
 
 26.04 
 
 27.56 
 
 26.16 
 
 38 
 
 39 
 
 28.87 
 
 26.22 
 
 28.75 
 
 26.35 
 
 28.64 
 
 26.47 
 
 28.52 
 
 26.60 
 
 28.41 
 
 26.72 
 
 28.29 
 
 26.85 
 
 39 
 
 4o 
 
 29.61 
 
 26.89 
 
 29.49 
 
 27.02 
 
 29.37 
 
 27.15 
 
 29.25 
 
 27.28 
 
 29.13 
 
 27.41 
 
 29.01 
 
 27.53 
 
 40 
 
 4i 
 
 3o.35 
 
 27.57 
 
 30.23 
 
 27.70 
 
 3o.ii 
 
 27.83 
 
 29.99 
 
 27.96 
 
 29.86 
 
 28.09 
 
 29.74 
 
 28.22 
 
 4i 
 
 42 
 
 31.09 
 
 28.24 
 
 30.97 
 
 28.37 
 
 3o.84 
 
 28.51 
 
 30.72 
 
 28.64 
 
 30.59 
 
 28.78 
 
 30.47 
 
 28.91 
 
 42 
 
 43 
 
 31.83 
 
 28.91 
 
 31.70 
 
 29.05 
 
 31.58 
 
 29.19 
 
 31.45 
 
 29.33 
 
 3i.32 
 
 29.46 
 
 31.19 
 
 29.60 
 
 43 
 
 44 
 
 32.57 
 
 29.58 
 
 32.44 
 
 29.73 
 
 32. 3i 
 
 29.87 
 
 32.18 
 
 3o.oi 
 
 32. o5 
 
 3o.i5 
 
 31.92 
 
 30.29 
 
 44 
 
 45 
 
 33.3i 
 
 30.26 
 
 33.18 
 
 3o.4o 
 
 33.04 
 
 30.55 
 
 32.91 
 
 30.69 
 
 32.78 
 
 30.83 
 
 32.64 
 
 30.98 
 
 45 
 
 46 
 
 34. o5 
 
 30.93 
 
 33.91 
 
 3 1. 08 
 
 33.78 
 
 3l.22 
 
 33.64 
 
 31.37 
 
 33. 5i 
 
 31.52 
 
 133.37 
 
 31.66 
 
 46 
 
 47 
 
 34.79 
 
 3i.6o 
 
 34.65 
 
 31.75 
 
 34. 5i 
 
 31.90 
 
 34.37 
 
 32.o5 
 
 34.23 
 
 32.20 
 
 34.09 
 
 32.35 
 
 47 
 
 48 
 
 35.53 
 
 32.27 
 
 35.39 
 
 32.43 
 
 35.25 
 
 32.58 
 
 35.10 
 
 32.74 
 
 34.96 
 
 32.89 
 
 34.82 
 
 33.o4 
 
 48 
 
 49 
 
 36.27 
 
 32.95 
 
 36.13 
 
 33.10 
 
 35.98 
 
 33.26 
 
 35.84 
 
 33.42 
 
 35.69 
 
 33.57 
 
 35.54 
 
 33.73 
 
 49 
 
 5o 
 
 37.01 
 
 33.62 
 
 36.86 
 
 33.78 
 
 36.72 
 
 33.94 
 
 36.57 
 
 34.10 
 
 36.42 
 
 34.26 
 
 36.27 
 
 34.42 
 
 5o 
 
 C 
 09 
 
 5 
 
 
 
 1 
 5 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 I-at. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 47% Deg. 
 
 471^ Deg. 
 
 473^ Deg. 
 
 47 Deg. 
 
 ^Ji Deg. 
 
 461^ Deg. 
 

 
 
 
 T 
 
 KAVEBSE Table. 
 
 
 
 
 19.1 
 
 a 
 
 1 
 s 
 
 42% Deg. 
 
 42yi Deg. 
 
 42% Deg. 
 
 43 Deg, 
 
 43% Deg. 
 
 43^ Deg. 
 
 g 
 
 m 
 
 1 
 
 • 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 lAt. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 5i 
 
 37.75 
 
 34.29 
 
 37.60 
 
 34.46 
 
 37.45 
 
 "34^ 
 
 37.30 
 
 34.78 
 
 37.15 
 
 34.94 
 
 36.99 
 
 35.11 
 
 5i 
 
 52 
 
 38.49 
 
 34.96 
 
 38.34 
 
 35.13 
 
 38.18 
 
 35. 3o 
 
 38.03 
 
 35.46 
 
 37.88 
 
 35.63 
 
 37.72 
 
 35.79 
 
 52 
 
 53 
 
 39.23 
 
 35.64 
 
 39.08 
 
 35.81 
 
 38.92 
 
 35.98 
 
 38.76 
 
 36. i5 
 
 38.6o 
 
 36.3i 
 
 38.44 
 
 36.48 
 
 53 
 
 54 
 
 39.97 
 
 36. 3i 
 
 39.81 
 
 36.48 
 
 39.65 
 
 36.66 
 
 39.49 
 
 36.83 
 
 39.33 
 
 37.00 
 
 39.17 
 
 37.17 
 
 54 
 
 55 
 
 40.71 
 
 36.98 
 
 40.55 
 
 37.16 
 
 40.39 
 
 37.33 
 
 4o.22 
 
 37.51 
 
 4o.o6 
 
 37.69 
 
 39.90 
 
 37.86 
 
 55 
 
 56 
 
 41.45 
 
 37.65 
 
 41.29 
 
 37.83 
 
 4l.I2 
 
 38.0I 
 
 40.96 
 
 38.19 
 
 40.79 
 
 38.37 
 
 40.62 
 
 38.55 
 
 56 
 
 5? 
 
 42.19 
 
 38.32 
 
 42.02 
 
 38. 5i 
 
 41.86 
 
 38.69 
 
 41.69 
 
 38.87 
 
 41.52 
 
 39.06 
 
 41.35 
 
 39.24 
 
 57 
 
 58 
 
 42.93 
 
 39.00 
 
 42.76 
 
 39.18 
 
 42.59 
 
 39.37 
 
 42.42 
 
 39.56 
 
 42.25 
 
 39.74 
 
 42.07 
 
 39.92 
 
 58 
 
 59 
 
 43.67 
 
 39.67 
 
 43. 5o 
 
 39.86 
 
 43.32 
 
 4o.o5 
 
 43. i5 
 
 40.24 
 
 42.97 
 
 40.43 
 
 42.80 
 
 4o.6i 
 
 59 
 
 6o 
 
 44.41 
 
 40.34 
 
 44.24 
 
 40.54 
 
 44.06 
 
 40.73 
 
 43.88 
 
 40.92 
 
 43.70 
 
 4i.ii 
 
 43.52 
 
 4i.3o 
 
 60 
 
 6i 
 
 45.i5 
 
 4t.oi 
 
 44.97 
 
 4l.2I 
 
 44.79 
 
 4i.4i 
 
 44.61 
 
 4i.6o 
 
 44.43 
 
 4i.8o 
 
 44.25 
 
 41.99 
 
 61 
 
 62 
 
 45.89 
 
 41.69 
 
 45.71 
 
 41.89 
 
 45.53 
 
 42.09 
 
 45.34 
 
 42.28 
 
 45.16 
 
 42.48 
 
 44.97 
 
 42.68 
 
 62 
 
 63 
 
 46.63 
 
 42.36 
 
 46.45 
 
 42.56 
 
 46.26 
 
 42.76 
 
 46.08 
 
 42.971 
 
 45.89 
 
 43.17 
 
 45.70 
 
 43.37 
 
 63 
 
 64 
 
 47.37 
 
 43.03 
 
 47-19 
 
 43.24 
 
 47.00 
 
 43.44 
 
 46.81 
 
 43.65 
 
 46.62 
 
 43.85 
 
 46.42 
 
 44.05 
 
 64 
 
 65 
 
 48.11 
 
 43.70 
 
 47-92 
 
 43.91 
 
 47.73 
 
 44.12 
 
 47.54 
 
 44.33 
 
 47.34 
 
 44.54 
 
 47.15 
 
 44.74 
 
 65 
 
 66 
 
 48.85 
 
 44.38 
 
 48.66 
 
 44.59 
 
 48.47 
 
 44.80 
 
 48.27 
 
 45.01 
 
 48.07 
 
 45.22 
 
 47.87 45.43 
 
 66 
 
 67 
 
 49.59 
 
 45.05 
 
 49.40 
 
 45.26 
 
 49.20 
 
 45.48 
 
 49.00 
 
 45.69 
 
 48.80 
 
 45.91 
 
 48.60 
 
 46.12 
 
 67 
 
 68 
 
 5o.33 
 
 45.72 
 
 5o.i3 
 
 45.94 
 
 49.93 
 
 46.16 
 
 49.73 
 
 46.38 
 
 49.53 
 
 46.59 
 
 49.33|46.8i 
 
 68 
 
 69 
 
 5i.07 
 
 46.39 
 
 50.87 
 
 46.62 
 
 50.67 
 
 46.84 
 
 5o.46 
 
 47.06 
 
 5o.26 
 
 47.28 
 
 5o.o5 
 
 47.50 
 
 69 
 
 70 
 
 5i.82 
 
 47.07 
 
 5i.6i 
 
 47.29 
 
 5i.4o 
 
 47.52 
 
 51.19 
 
 47.74 
 
 50.99 
 
 47-96 
 
 50.78 
 
 48.18 
 
 70 
 
 71 
 
 52.56 
 
 47-74 
 
 52.35 
 
 47-97 
 
 52.14 
 
 48.19 
 
 51.93 
 
 48.42 
 
 51.71 
 
 48.65 
 
 5i.5o 
 
 48.87 
 
 71 
 
 72 
 
 53.3o 
 
 48.41 
 
 53.08 
 
 48.64 
 
 52.87 
 
 48.87 
 
 52.66 
 
 49.10 
 
 52.44 
 
 49.33 
 
 52.23 
 
 49.56 
 
 72 
 
 73 
 
 54.04 
 
 49.08 
 
 53.82 
 
 49.32 
 
 53.61 
 
 49.55 
 
 53.39 
 
 49.79 
 
 53.17 
 
 5o.o2 
 
 52.95 
 
 5o.25 
 
 73 
 
 74 
 
 54.78 
 
 49.76 
 
 54.56 
 
 49.99 
 
 54.34 
 
 5o.23 
 
 54.12 
 
 5o.47 
 
 53.90 
 
 50.70 
 
 53.68 
 
 50.94 
 
 74 
 
 75 
 
 55.52 
 
 5o.43 
 
 55.3o 
 
 50.67 
 
 55.07 
 
 50.91 
 
 54.85 
 
 5i.i5 
 
 54.63 
 
 51.39 
 
 54.40 
 
 5i.63 
 
 75 
 
 76 
 
 56.26 
 
 5i.io 
 
 56.o3 
 
 5i.34 
 
 55.81 
 
 51.59 
 
 55.58 
 
 5i.83 
 
 55.36 
 
 52.07 
 
 55.13 
 
 52. 3i 
 
 76 
 
 77 
 
 57.00 
 
 51.77 
 
 56.77 
 
 52.02 
 
 56.54 
 
 52.27 
 
 56.3i 
 
 52. 5i 
 
 56.08 
 
 52.76 
 
 55.85 
 
 53.00 
 
 77 
 
 78 
 
 57.74 
 
 52.44 
 
 57.51 
 
 52.70 
 
 57.28 
 
 52.95 
 
 57.05 
 
 53.20 
 
 56.8i 
 
 53.44 
 
 56.58 
 
 53.69 
 
 78 
 
 79 
 
 58.48 
 
 53.12 
 
 58.24 
 
 53.37 
 
 58.01 
 
 53.63 
 
 57.78 
 
 53.88 
 
 57.54 
 
 54.13 
 
 57.30 
 
 54.38 
 
 79 
 
 80 
 
 59.22 
 
 53.79 
 
 58.98 
 
 54.o5 
 
 58.75 
 
 54.3o 
 
 58. 5i 
 
 54.56 
 
 58.27 
 
 54.81 
 
 58.o3 
 
 55.07 
 
 80 
 
 8i 
 
 59.96 
 
 54.46 
 
 59.72 
 
 54.72 
 
 59.48 
 
 54.98 
 
 59.24 
 
 55.24 
 
 59.00 
 
 55. 5o 
 
 58.76 
 
 55.76 
 
 81 
 
 82 
 
 60.70 
 
 55.13 
 
 60.46 
 
 55.40 
 
 60.21 
 
 55.66 
 
 59.97 
 
 55.92 
 
 59.73 
 
 56. i& 
 
 59.48 
 
 56.45 
 
 82 
 
 83 
 
 61.44 
 
 55.8r 
 
 61.19 
 
 56.07 
 
 60.95 
 
 56.34 
 
 60.70 
 
 56.6i 
 
 60.45 
 
 56.87 
 
 60.21 
 
 57.13 
 
 83 
 
 84 
 
 62.18 
 
 56.48 
 
 61.93 
 
 56.75 
 
 61.68 
 
 57.02 
 
 61.43 
 
 57.29 
 
 61.18 
 
 57.56 
 
 60.93 
 
 57.82 
 
 84 
 
 85 
 
 62.9a 
 
 57.15 
 
 62.67 
 
 57.43 
 
 62.42 
 
 57.70 
 
 62.17 
 
 57.97 
 
 61.91 
 
 58.24 
 
 61.66 
 
 58.5i 
 
 85 
 
 86 
 
 63.66 
 
 57.82 
 
 63.4i 
 
 58.10 
 
 63.i5 
 
 58.38 
 
 62.90 
 
 58.65 
 
 62.64 
 
 58.93 
 
 62.38 
 
 59.20 
 
 86 
 
 87 
 
 64.4o 
 
 58.5o 
 
 64.14 
 
 58.78 
 
 63.89 
 
 59.06 
 
 63.63 
 
 59.33 
 
 63.37 
 
 59.61 
 
 63.11 
 
 59.89 
 
 87 
 
 88 
 
 65.i4 
 
 59.17 
 
 64.88 
 
 59.45 
 
 64.6- 
 
 59.73 
 
 64.36 
 
 60.02 
 
 64. lo 
 
 60. 3o 
 
 63.83 
 
 60.58 
 
 88 
 
 89 
 
 65.88 
 
 59.84 
 
 65.62 
 
 6o.i3 
 
 65.35 
 
 60.41 
 
 65.09 
 
 60.70 
 
 64.82 
 
 60.98 
 
 64.56 
 
 61.26 
 
 89 
 
 90 
 
 66.62 
 
 6o.5i 
 
 66.35 
 
 60.80 
 
 66.09 
 
 61.09 
 
 65.82 
 
 6i.38 
 
 65.55 
 
 61.67 
 
 65.28 
 
 61.95 
 
 90 
 
 91 
 
 67.36 
 
 61.19 
 
 67.09 
 
 61.48 
 
 66.82 
 
 61.77 
 
 66.55 
 
 62.06 
 
 66.28 
 
 62.35 
 
 66.01 
 
 62.64 
 
 91 
 
 92 
 
 68.10 
 
 61.86 
 
 67.83 
 
 62.15 
 
 67.56 
 
 62.45 
 
 67.28 
 
 62.74 
 
 67.01 
 
 63.04 
 
 66.73 
 
 63.33 
 
 92 
 
 93 
 
 68.84 
 
 62.53 
 
 68.57 
 
 62.83 
 
 68.29 
 
 63.13 
 
 68.02 
 
 63.43 
 
 67.74 
 
 63.72 
 
 67.46 
 
 64.02 
 
 93 
 
 94 
 
 69.58 
 
 63. 20 
 
 69.30 
 
 63.5i 
 
 69.03 
 
 63.8i 
 
 68.75 
 
 64.11 
 
 68.47 
 
 64.41 
 
 68.19 
 
 64.71 
 
 94 
 
 95 
 
 70.32 
 
 63.87 
 
 70.04 
 
 64.18 
 
 69.76 
 
 64.49 
 
 69.48 
 
 64.79 
 
 69.20 
 
 65.09 
 
 68.91 
 
 65.39 
 
 95 
 
 96 
 
 71.06 
 
 64.55 
 
 70.78 
 
 64.86 
 
 70.49 
 
 65.16 
 
 70.21 
 
 65.47 
 
 69.92 
 
 65.78 
 
 69.64 
 
 66.08 
 
 96 
 
 97 
 
 71.80 
 
 65.22 
 
 71.52 
 
 65.53 
 
 71.23 
 
 65.84 
 
 70.94 
 
 66. i5 
 
 70.65 
 
 66.46 
 
 70.36 
 
 66.77 
 
 97 
 
 98 
 
 72.54 
 
 65.89 
 
 72.25 
 
 66.21 
 
 71.96 
 
 66.52 
 
 71.67 
 
 66.84 
 
 71.37 
 
 67.15 
 
 71.09 
 
 67.46 
 
 98 
 
 99 
 
 73.28 
 
 66.56 
 
 72.99 
 
 66.88 
 
 72.70 
 
 67.20 
 
 72.40 
 
 67.52 
 
 72.11 
 
 67.83 
 
 71.81 
 
 68. i5 
 
 99 
 
 100 
 
 74.02 
 
 67.24 
 
 73.73 
 
 67.56 
 
 73.43 
 
 67.88 
 
 73.14 
 
 68.20 
 
 72.84 
 
 68.52 
 
 72.54 
 
 68.84 
 
 100 
 
 g 
 
 1 
 
 OQ 
 
 5 
 
 Dep. 
 
 Lat 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 l^t. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 6 
 
 
 a 
 
 a 
 
 s 
 
 
 47% 
 
 Deg. 
 
 47K Deg. 
 
 47% Deg. 
 
 47 Deg. 
 
 46% Deg. 
 
 46«^ Deg. 
 
 N 
 
194 
 
 
 
 
 Traverse T 
 
 ABLE. 
 
 
 
 
 
 o 
 
 a 
 
 • 
 
 
 
 8 
 
 43% Deg. 
 
 44 Deg, 
 
 441^ Deg. 
 
 443^ Deg. 
 
 44% Deg. 
 
 45 Deg. 
 
 2 
 
 Lat 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 0.72 
 
 0.69 
 
 0.72 
 
 0.69 
 
 0,72 
 
 0.70 
 
 0.71 
 
 0,70 
 
 0.71 
 
 0,71 
 
 0.71 
 
 0,71 
 
 I 
 
 2 
 
 1.44 
 
 1.38 
 
 1.44 
 
 1.39 
 
 1,43 
 
 I,4o 
 
 1.43 
 
 1,40 
 
 1.42 
 
 I.4l 
 
 i.4i 
 
 1.41 
 
 2 
 
 3 
 
 2.17 
 
 2.07 
 
 2.16 
 
 2.08 
 
 2,l5 
 
 2,09 
 
 2.l4 
 
 2.10 
 
 2.l3 
 
 2. II 
 
 2.12 
 
 2.12 
 
 3 
 
 4 
 
 2.89 
 
 2.77 
 
 2.88 
 
 2.78 
 
 2,87 
 
 2,79 
 
 2,85 
 
 2.80 
 
 2,84 
 
 2,82 
 
 2,83 
 
 2.83 
 
 4 
 
 5 
 
 3.6i 
 
 3.46 
 
 3.60 
 
 3.47 
 
 3.58 
 
 3.49 
 
 3.57 
 
 3,5o 
 
 3,5.5 
 
 3,52 
 
 3,54 
 
 3,54 
 
 5 
 
 6 
 
 4.33 
 
 4.i5 
 
 4.32 
 
 4.17 
 
 4.3o 
 
 4.19 
 
 4.28 
 
 4.21 
 
 4.26 
 
 4,22 
 
 4.24 
 
 4.24 
 
 6 
 
 7 
 6 
 
 5.06 
 
 4.84 
 
 5.o4 
 
 4.86 
 
 5.01 
 
 4.88 
 
 4.99 
 
 4.91 
 
 4.97 
 
 4.93 
 
 4.95 
 
 4.95 
 
 7 
 
 5.78 
 
 5,53 
 
 5.75 
 
 5.56 
 
 5.73 
 
 5.58 
 
 5.71 
 
 5.61 
 
 5,68 
 
 5,63 
 
 5.66 
 
 5.66 
 
 8 
 
 9 
 
 lO 
 
 6.5o 
 
 6.22 
 
 6.47 
 
 6.25 
 
 6.45 
 
 6.28 
 
 6,42 
 
 6.3i 
 
 6.39 
 
 6,34 
 
 6.36 
 
 6.36 
 
 9 
 
 7.22 
 
 6.92 
 
 7.19 
 
 6,95 
 
 7.16 
 
 6.98 
 
 7.i3 
 
 7,01 
 
 7.10 
 
 7.04 
 
 7.07 
 
 7,07 
 
 10 
 
 II 
 
 7.95 
 
 7.61 
 
 7.91 
 
 7.64 
 
 7.88 
 
 7.68 
 
 7.85 
 
 7.71 
 
 7.81 
 
 7-74 
 
 7.78 
 
 7.78 
 
 II 
 
 12 
 
 8.67 
 
 8.3o 
 
 8,63 
 
 8,34 
 
 8.60 
 
 8.37 
 
 8,56 
 
 8,4i 
 
 8.52 
 
 8,45 
 
 8.49 
 
 8.49 
 
 12 
 
 i3 
 
 9.39 
 
 8.99 
 
 9.35 
 
 9.03 
 
 9.3i 
 
 9.07 
 
 9.27 
 
 9.1 1 
 
 9.23 
 
 9,i5 
 
 9.19 
 
 9.19 
 
 i3 
 
 i4 
 
 10. 1 1 
 
 9,68 
 
 10.07 
 
 9.73 
 
 10. o3 
 
 9-77 
 
 9.99 
 
 9.81 
 
 9.94 
 
 9.86 
 
 9.90 
 
 9,90 
 
 i4 
 
 i5 
 
 I0.84 
 
 10.37 
 
 10.79 
 
 10,42 
 
 10,74 
 
 10.47 
 
 10.70 
 
 1 0,5 1 
 
 io,65 
 
 io,56 
 
 10.61 
 
 10,61 
 
 i5 
 
 i6 
 
 n.56 
 
 11,06 
 
 II, 5i 
 
 II, II 
 
 11,46 
 
 II. 16 
 
 II. 4i 
 
 11,21 
 
 11.36 
 
 11,26 
 
 II. 3i 
 
 II. 3i 
 
 16 
 
 '7 
 
 12.28 
 
 1 1.76 
 
 12,23 
 
 11.81 
 
 12. i8 
 
 11,86 
 
 12. i3 
 
 11.92 
 
 12.07 
 
 11.97 
 
 12.02 
 
 12.02 
 
 17 
 
 i8 
 
 1 3,00 
 
 12.45 
 
 12,95 
 
 12, 5o 
 
 12.89 
 
 12,56 
 
 12.84 
 
 12.62 
 
 12.78 
 
 12.67 
 
 12.73 
 
 12,73 
 
 18 
 
 '9 
 
 13.72 
 
 i3.i4 
 
 13,67 
 
 l3,20 
 
 i3.6i 
 
 13.26 
 
 i3.55 
 
 i3.32 
 
 i3,49 
 
 i3.38 
 
 1 3.43 
 
 i3,43 
 
 19 
 
 20 
 
 14.45 
 
 i3,83 
 
 14.39 
 
 13.89 
 
 14.33 
 
 13,96 
 
 14.26 
 
 14.02 
 
 14.20 
 
 14.08 
 
 14.14 
 
 i4.i4 
 
 20 
 
 21 
 
 15.17 
 
 i4.52 
 
 i5.ii 
 
 14.59 
 
 i5.o4 
 
 i4.65 
 
 14.98 
 
 14.72 
 
 14.91 
 
 14.78 
 
 i4.85 
 
 i4.85 
 
 21 
 
 22 
 
 15.89 
 
 l5.2I 
 
 i5.83 
 
 15.28 
 
 15.76 
 
 i5.35 
 
 15.69 
 
 1 5.42 
 
 15.62 
 
 i5.49 
 
 i5,56 
 
 i5.56 
 
 22 
 
 23 
 
 16.61 
 
 15.90 
 
 16.54 
 
 15.98 
 
 16.47 
 
 16. o5 
 
 16.40 
 
 16.12 
 
 16.33 
 
 16.19 
 
 16,26 
 
 16,26 
 
 23 
 
 24 
 
 17.34 
 
 i6.6o 
 
 17.26 
 
 16.67 
 
 17,19 
 
 16.75 
 
 17.12 
 
 16.82 
 
 17.04 
 
 16.90 
 
 16.97 
 
 16.97 
 
 24 
 
 25 
 
 18.06 
 
 17.29 
 
 17.98 
 
 17,37 
 
 17.91 
 
 17.44 
 
 17.83 
 
 17.52 
 
 17.75 
 
 17.60 
 
 17,68 
 
 17.68 
 
 25 
 
 26 
 
 18.78 
 
 17,98 
 
 18.70 
 
 18.06 
 
 18.62 
 
 18.14 
 
 18.54 
 
 18.22 
 
 18.46 
 
 i8.3o 
 
 i8,38 
 
 i8.38 
 
 26 
 
 27 
 
 19.50 
 
 18.67 
 
 19.42 
 
 18.76 
 
 19.34 
 
 18.84 
 
 19.26 
 
 18.92 
 
 19.17 
 
 19.01 
 
 19.09 
 
 19.09 
 
 27 
 
 28 
 
 20.23 
 
 19.36 
 
 20. i4 
 
 19,45 
 
 20.06 
 
 19.54 
 
 19,97 
 
 19.63 
 
 19.89 
 
 19.71 
 
 19.80 
 
 19.80 
 
 28 
 
 29 
 
 20,95 
 
 20. o5 
 
 20.86 
 
 20, 1 5 
 
 20,77 
 
 20.24 
 
 20.68 
 
 20.33 
 
 20.60 
 
 20,42 
 
 20.5l 
 
 20.5l 
 
 29 
 
 3o 
 
 21.67 
 
 20.75 
 
 21.58 
 
 20.84 
 
 21.49 
 
 20.93 
 
 21.40 
 
 21, o3 
 
 21. 3i 
 
 21,12 
 
 21.21 
 
 21,21 
 
 3o 
 
 3i 
 
 22.39 
 
 21.44 
 
 22. 3o 
 
 21.53 
 
 22,21 
 
 21.63 
 
 22.11 
 
 21,73 
 
 22,02 
 
 21.82 
 
 21.92 
 
 21,92 
 
 3i 
 
 32 
 
 23.12 
 
 22. i3 
 
 23.02 
 
 22.23 
 
 22.92 
 
 22,33 
 
 22.82 
 
 22.43 
 
 22,73 
 
 22.53 
 
 22.63 
 
 22,63 
 
 32 
 
 33 
 
 23.84 
 
 22.82 
 
 23.74 
 
 22.92 
 
 23.64 
 
 23, o3 
 
 23.54 
 
 23.13 
 
 23.44 
 
 23.23 
 
 23.33 
 
 23.33 
 
 33 
 
 34 
 
 24.56 
 
 23. 5i 
 
 24.46 
 
 23.62 
 
 24.35 
 
 23.72 
 
 24.25 
 
 23.83 
 
 24. i5 
 
 23.94 
 
 24.04 
 
 24.04 
 
 34 
 
 35 
 
 25.28 
 
 24.20 
 
 25,18 
 
 24.3l 
 
 25.07 
 
 24.42 
 
 24.96 
 
 24.53 
 
 24.86 
 
 24.64 
 
 24.75 
 
 24,75 
 
 35 
 
 36 
 
 26.01 
 
 24.89 
 
 25,90 
 
 25. 01 
 
 25.79 
 
 25.12 
 
 25.68 
 
 25.23 
 
 25.57 
 
 25.34 
 
 25.46 
 
 25.46 
 
 36 
 
 37 
 
 26.73 
 
 25.59 
 
 26.62 
 
 25.70 
 
 26.50 
 
 25.82 
 
 26.39 
 
 25.93 
 
 26.28 
 
 26.05 
 
 26.16 
 
 26.16 
 
 37 
 
 38 
 
 27.45 
 
 26.28 
 
 27.33 
 
 26.40 
 
 27.22 
 
 26.52 
 
 27.10 
 
 26.63 
 
 26.99 
 
 26.75 
 
 26.87 
 
 26.87 
 
 38 
 
 39 
 
 28.17 
 
 26.97 
 
 28.05 
 
 27.09 
 
 27.94 
 
 27.21 
 
 27.82 
 
 27.34 
 
 27.70 
 
 27.46 
 
 27.58 
 
 27.58 
 
 39 
 
 4o 
 
 28.89 
 
 27.66 
 
 28.77 
 
 27.79 
 
 28.65 
 
 27.91 
 
 28.53 
 
 28.04 
 
 28.41 
 
 28.16 
 
 28.28 
 
 28.28 
 
 4o 
 
 4i 
 
 29.62 
 
 28.35 
 
 29.49 
 
 28.48 
 
 29.37 
 
 28.61 
 
 29.24 
 
 28.74 
 
 29.12 
 
 28.86 
 
 28.99 
 
 28.99 
 
 4i 
 
 42 
 
 3o.34 
 
 29. o4 
 
 3o.2I 
 
 29.18 
 
 3o.o8 
 
 29.31! 
 
 29.96 
 
 29.44 
 
 29.83 
 
 29.57 
 
 29.70 
 
 29.70 
 
 42 
 
 43 
 
 3i.o6 
 
 29.74 
 
 3o.g3 
 
 29.87 
 
 3o.8o 
 
 3o.oo 
 
 30.67 
 
 3o.i4 
 
 3o.54 
 
 30.27 
 
 3o.4i 
 
 3o.4i 
 
 43 
 
 44 
 
 31.78 
 
 3o.43 
 
 31.65 
 
 3o.56 
 
 3i.52 
 
 30,70 
 
 3i,38 
 
 3o.84 
 
 31.25 
 
 30.98 
 
 3i.ii 
 
 3i.ii 
 
 44 
 
 45 
 
 32. 5i 
 
 3l.I2 
 
 32.37 
 
 31.26 
 
 32,23 
 
 3i.4o 
 
 32,10 
 
 31.54 
 
 31.96 
 
 3 1,68 
 
 31.82 
 
 3i,82 
 
 45 
 
 46 
 
 33.23 
 
 3i.8i 
 
 33.09 
 
 31.95 
 
 32.95 
 
 32. 10 
 
 32, 81 
 
 32,24 
 
 32.67 
 
 32.38 
 
 32.53 
 
 32.53 
 
 46 
 
 47 
 
 33.95 
 
 32. 5o 
 
 33.81 
 
 32.65 
 
 33.67 
 
 32.80 
 
 33.52 
 
 32.94 
 
 33.38 
 
 33.09 
 
 33.23 
 
 33.23 
 
 47 
 
 48 
 
 34.67 
 
 33.19 
 
 34.53 
 
 33.34 
 
 34.38 
 
 33.49 
 
 34.24 
 
 33.64 
 
 34.09 
 
 33.79 
 
 33.94 
 
 33.94 
 
 48 
 
 49 
 
 35. 4o 
 
 33.88 
 
 35.25 
 
 34.04 
 
 35.10 
 
 34.19 
 
 34.95 
 
 34.34 
 
 34.80 
 
 34.5o 
 
 34.65 
 
 34.65 
 
 49 
 
 5o 
 
 a 
 
 36.12 
 
 34.58 
 
 35.97 
 
 34.73 
 
 35.82 
 
 34.89 
 
 35.66 
 
 35.o5 
 
 35.5i 
 
 35.20 
 
 35.36 
 
 35.36 
 
 5o 
 
 
 
 ca 
 
 DO 
 
 5 
 
 Dep. 1 LAt. 
 
 Dep. 1 Lat 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 463^ Deg. 
 
 46 Deg. 
 
 45% Deg. 
 
 45K Deg. 
 
 45% Deg. 
 
 45 Deg. 
 
Traverse Table. 
 
 195 
 
 43% Deg. 
 
 a 
 a 
 a 
 
 5i 
 
 52 
 
 53 
 
 54 
 55 
 
 56 
 
 5? 
 58 
 59 
 6o 
 
 6i 
 62 
 63 
 
 64 
 65 
 
 66 
 67 
 68 
 69 
 70 
 
 71 
 72 
 
 73 
 74 
 75 
 
 76 
 
 77 
 78 
 
 79 
 80 
 
 81 
 82 
 
 83 
 
 84 
 85 
 
 86 
 87 
 88 
 89 
 90 
 
 91 
 92 
 
 93 
 
 94 
 95 
 
 96 
 
 97 
 98 
 
 99 
 100 
 
 Lat. Dep. 
 
 36.84 
 37.56 
 38.29 
 39.01 
 39.73 
 
 40.45 
 4i.i7 
 41.90 
 42.62 
 43.34 
 
 44.06 
 
 44.79 
 45.5i 
 46.23 
 46.95 
 
 47.68 
 48.4o 
 49.12 
 49.84 
 50.57 
 
 51.29 
 
 52.01 
 52.73 
 53.45 
 54.18 
 
 54.90 
 55.62 
 56.34 
 57.07 
 
 57-79 
 
 58.5i 
 59.23 
 59.96 
 60.68 
 61.40 
 
 62.12 
 62.85 
 63.57 
 64.29 
 65. 01 
 
 65.74 
 66.46 
 67.18 
 67.90 
 68.62 
 
 69.35 
 70.07 
 70.79 
 71. 5i 
 72.24 
 
 44 Deg. 
 
 Lat. Dep. 
 
 35.27 
 35.96 
 36.65 
 37.34 
 38.03 
 
 38.72 
 39.42 
 4o.i 1 
 40.80 
 41.49 
 
 42.18 
 42.87 
 43.57 
 44.26 
 44.95 
 
 45.64 
 46.33 
 
 47.02 
 
 47.71 
 48.41 
 
 49.10 
 
 49-79 
 5o.48 
 
 51.17 
 
 5 1. 86 
 
 52.55 
 53.25 
 53.94 
 54.63 
 55.32 
 
 56. 01 
 56.70 
 57.40 
 58.09 
 
 58.78 
 
 59.47 
 60.16 
 6o.85 
 61.54 
 62.24 
 
 62.93 
 63.62 
 64. 3i 
 65.00 
 65.69 
 
 66.39 
 67.08 
 67.77 
 68.46 
 69.15 
 
 Dep. 
 
 36.69 
 
 37.41 
 38.12 
 38.84 
 39.56 
 
 40.28 
 4 1. 00 
 41.72 
 42.44 
 43.16 
 
 43.88 
 44.60 
 45.32 
 46 o4 
 46.76 
 
 47.48 
 
 48 
 
 48.92 
 
 49.63 
 
 5o.35 
 
 51.07 
 51.79 
 52. 5i 
 53.23 
 53.95 
 
 54.67 
 55.39 
 56.11 
 56.83 
 57.55 
 
 58.27 
 58.99 
 59.71 
 60.42 
 61. i4 
 
 61.86 
 62.58 
 63. 3o 
 64.02 
 64.74 
 
 65.46 
 66.18 
 66.90 
 67.62 
 68.34 
 
 69.06 
 69.78 
 70.50 
 71 .21 
 71.93 
 
 Lat. 
 
 46K Deg. 
 
 35.43 
 36.12 
 36.82 
 37.51 
 38.21 
 
 38.90 
 39.60 
 40.29 
 40.98 
 41.68 
 
 42.37 
 43.07 
 43.76 
 44.46 
 45. i5 
 
 45.85 
 46.54 
 47.24 
 
 47.93 
 48.63 
 
 49.32 
 5o.o2 
 50.71 
 5 1.40 
 
 52.10 
 
 52.79 
 53.49 
 
 54.18 
 54.88 
 55.57 
 
 56.27 
 56.96 
 57.66 
 58.35 
 59.05 
 
 59.74 
 60.44 
 61. i3 
 61.82 
 62.52 
 
 63.21 
 63. gi 
 64.60 
 65. 3o 
 65.99 
 
 66.69 
 67.38 
 68.08 
 68.77 
 69.47 
 
 44% Deg. 
 
 Lat 
 
 Dep. 
 
 36.53 
 37.25 
 37.96 
 38.68 
 39.40 
 
 4o.ii 
 40.83 
 41.55 
 42.26 
 42.98 
 
 43.69 
 
 44.41 
 45.13 
 
 45.84 
 46.56 
 
 47.28 
 
 47-99 
 
 48.71 
 
 49.42 
 5o.i4 
 
 5o.86 
 51.57 
 52,29 
 53.01 
 53.72 
 
 54.44 
 55.16 
 55.87 
 56.59 
 57.30 
 
 58.02 
 58.74 
 59.45 
 60.17 
 60.89 
 
 61.60 
 62.32 
 63.03 
 63.75 
 64.47 
 
 65. 18 
 65.90 
 66.62 
 67.33 
 68.o5 
 
 68.76 
 69.48 
 70.20 
 70.91 
 71.63 
 
 M}4 Deg. 
 
 Lat. I Dep. 
 
 Dep. 
 
 Lat. 
 
 46 Deg. 
 
 35.59 
 36.29 
 36.98 
 37.68 
 38.38 
 
 39.08 
 
 39-77 
 
 40.47 
 
 41.17 
 41.87 
 
 42.57 
 43.26 
 43.96 
 44.66 
 45.36 
 
 46.o5 
 46.75 
 47.45 
 48. i5 
 48.85 
 
 49.54 
 5o.24 
 50.94 
 5i.64 
 52.33 
 
 53.03 
 53.73 
 
 54.43 
 55.13 
 55.82 
 
 56.52 
 57.22 
 57.92 
 58.6i 
 5g.3i 
 
 60.01 
 60.71 
 61.41 
 62.10 
 62.80 
 
 63. 5o 
 64.20 
 64.89 
 65.59 
 66.29 
 
 66.99 
 67.69 
 68.38 
 69.08 
 69.78 
 
 Dep. 
 
 36.38 
 37.09 
 37.80 
 38.52 
 3g.23 
 
 39.94 
 40.66 
 41.37 
 42.08 
 42.79 
 
 43.5i 
 44.22 
 44.93 
 45.65 
 46.36 
 
 47-07 
 47-79 
 48. 5o 
 
 49.21 
 49.93 
 
 5o.64 
 5i.35 
 52.07 
 52.78 
 53.49 
 
 54.21 
 54.92 
 55.63 
 56.35 
 57.06 
 
 57.77 
 58.49 
 59.20 
 59.91 
 60.63 
 
 61.34 
 62. o5 
 62.77 
 63.48 
 
 44% Deg. 
 
 Lat. Dep. 
 
 Lat. 
 
 45% Deg. 
 
 35.75 
 36.45 
 37.15 
 37.85 
 38.55 
 
 39.25 
 39.95 
 4o.65 
 41.35 
 42. o5 
 
 42.76 
 43.46 
 44.16 
 44.86 
 45.56 
 
 46.26 
 46.96 
 47.66 
 48.36 
 49.06 
 
 49.76 
 5o.47 
 51.17 
 51.87 
 52.57 
 
 53.27 
 53.97 
 54.67 
 55.37 
 56.07 
 
 56.77 
 
 57.47 
 58.18 
 58.88 
 59.58 
 
 60.28 
 60.98 
 61.68 
 62.38 
 
 64.19 63.08 
 
 64.91 
 65.62 
 66.33 
 67.05 
 
 63.78 
 64.48 
 65. 18 
 65.89 
 
 67.76 66.59 
 
 68.47 67.29 
 69.19 67.99 
 69.90 68.69 
 69.39 
 
 70.09 
 
 1 
 
 Dep. I Lat. 
 
 70.61 
 71.33 
 
 36.22 
 
 36.93 
 37.64 
 
 38.35 
 39.06 
 
 39.77 
 4o.48 
 41.19 
 41.90 
 42.61 
 
 43.32 
 44.03 
 44.74 
 45.45 
 46.16 
 
 46.87 
 47-58 
 48.29 
 49.00 
 49.71 
 
 5o.42 
 5i.i3 
 5 1. 84 
 52.55 
 53.26 
 
 53.97 
 54.68 
 55.39 
 56.10 
 56.8i 
 
 57.52 
 58.24 
 58.95 
 59.66 
 60.37 
 
 61.08 
 61.79 
 62.50 
 63.21 
 63.92 
 
 64.63 
 65.34 
 66.o5 
 66.76 
 67.47 
 
 68.18 
 68.89 
 69.60 
 70.31 
 71.02 
 
 45K r>eg. 
 
 35.90 
 36.6i 
 37.31 
 38.02 
 38.72 
 
 39.42 
 4o.i3 
 
 4o.83 
 41.54 
 42.24 
 
 42.94 
 43.65 
 44.35 
 45.06 
 45.76 
 
 46.46 
 
 47-17 
 
 47.87 
 
 48.58 
 49.28 
 
 49-98 
 50.69 
 51.39 
 52. 10 
 52.80 
 
 53. 5i 
 54.21 
 54.91 
 55.62 
 56.32 
 
 57.03 
 57.73 
 58.43 
 59.14 
 59.84 
 
 60.55 
 61.25 
 61.95 
 62.66 
 63.36 
 
 64.07 
 
 64.77 
 65.47 
 66.18 
 66.88 
 
 67.59 
 68.29 
 68.99 
 69.70 
 70.40 
 
 45 Deg. 
 
 Lat Dep. 
 
 36.06 
 
 36.77 
 37.48 
 38.18 
 38.89 
 
 39.60 
 4o.3i 
 41.01 
 41.72 
 42.43 
 
 43.13 
 
 43.84 
 44.55 
 45.25 
 45.96 
 
 46.67 
 47.38 
 48.08 
 48-79 
 49.50 
 
 5o.2o 
 50.91 
 5i .62 
 52.33 
 
 Dep. 
 
 36.06 
 
 36.77 
 
 37.48 
 38.18 
 38.89 
 
 39.60 
 4o.3] 
 4i.oi 
 41.72 
 42.43 
 
 43.13 
 
 43.84 
 44.55 
 45.25 
 45.96 
 
 46.67 
 47.38 
 48. o& 
 48.79 
 49.50 
 
 5o.2o 
 50.91 
 51.62 
 52.33 
 
 53.o3 53. o3 
 
 Lat 
 
 45% Deg. 
 
 53.74 
 54.45 
 55.i5 
 55.86 
 56.57 
 
 57.28 
 57.98 
 58.69 
 59.40 
 60.10 
 
 60.81 
 61.52 
 62.23 
 62.93 
 63.64 
 
 53.74 
 54.45 
 55.i5 
 55.86 
 56.57 
 
 57.28 
 57.98 
 58.69 
 59.40 
 60.10 
 
 60.81 
 61.52 
 62.23 
 62.93 
 63.64 
 
 64.35 64.35 
 65. o5 65. o5 
 65.761 65.76 
 66.47; 66.47 
 67.18,67.18 
 
 67.88 67.88 
 68.59' 68.59 
 69.30 69.30 
 70.00 70.00 
 70.71 70.71 
 
 Dep. 
 
 a 
 
 Lat 
 
 45 Deg. 
 
 5i 
 
 52 
 
 53 
 
 54 
 55 
 
 56 
 
 57 
 
 58 
 
 59 
 60 
 
 61 
 62 
 63 
 
 64 
 65 
 
 66 
 67 
 68 
 69 
 70 
 
 71 
 
 72 
 
 73 
 74 
 75 
 
 76 
 
 77 
 
 78 
 
 79 
 80 
 
 81 
 82 
 83 
 84 
 85 
 
 86 
 87 
 88 
 89 
 90 
 
 91 
 
 92 
 
 93 
 
 94 
 95 
 
 96 
 
 97 
 
 98 
 
 99 
 100 
 
 s 
 
196 
 
 Meridional Paets. 
 
 LATITUDE. 
 
 Min. 
 
 0° 
 
 1° 
 
 2° 
 
 3° 
 
 4° 
 
 5° 
 
 6° 
 
 70 
 
 8° 
 
 9° 
 
 10° 
 
 11° 
 
 12° 
 
 Min. 
 
 o 
 
 o.c 
 
 ) 60. c 
 
 > 120. c 
 
 ) 180. 1 
 
 240.2 
 
 3oo.4 
 
 360.7 
 
 421. 1 
 
 481.6 
 
 542.2 
 
 6o3.i 
 
 664.1 
 
 725.3 
 
 
 
 I 
 
 I .c 
 
 ) 61.C 
 
 21. c 
 
 ) 81. 1 
 
 4l.2 
 
 01.^ 
 
 61.7 
 
 22.1 
 
 82.6 
 
 43.3 
 
 o4.i 
 
 65.1 
 
 26.3 
 
 I 
 
 o 
 
 2.C 
 
 ) 62. c 
 
 22. c 
 
 82.1 
 
 42.2 
 
 02./ 
 
 62.7 
 
 23.1 
 
 83.6 
 
 44.3 
 
 o5.i 
 
 66.1 
 
 27.4 
 
 2 
 
 3 
 
 3.C 
 
 ) 63.C 
 
 23.0 
 
 83.1 
 
 43.2 
 
 o3.4 
 
 63.7 
 
 24.1 
 
 84.6 
 
 45.3 
 
 06.1 
 
 67.1 
 
 28.4 
 
 3 
 
 4 
 
 4.C 
 
 > 64.0 
 
 24.0 
 
 84.1 
 
 44.2 
 
 04.4 
 
 64.7 
 
 25.1 
 
 85.6 
 
 46.3 
 
 07.1 
 
 68.2 
 
 29.4 
 
 4 
 
 5 
 
 5.C 
 
 ) 65.0 
 
 25.0 
 
 85.1 
 
 45.2 
 
 o5.4 
 
 65.7 
 
 26.1 
 
 86.6 
 
 47.3 
 
 08.2 
 
 69.2 
 
 3o.5 
 
 5 
 
 6 
 
 6.C 
 
 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.C 
 
 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 
 
 1 1.2 
 
 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 
 
 10 
 
 10. 
 
 70.0 
 
 i3o.o 
 
 190. 1 
 
 25o.2 
 
 3io.4 
 
 370.7 
 
 43i.i 
 
 491.7 
 
 552.4 
 
 6i3.2 
 
 674.3 
 
 735.6 
 
 10 
 
 1 1 
 
 II.O 
 
 71.0 
 
 3i.o 
 
 91. 1 
 
 5l.2 
 
 11.4 
 
 71.7 
 
 32.1 
 
 92.7 
 
 53.4 
 
 l4.2 
 
 75.3 
 
 36.6 
 
 II 
 
 12 
 
 12.0 
 
 72.0 
 
 32.0 
 
 92.1 
 
 52.2 
 
 12.4 
 
 72.7 
 
 33.1 
 
 93.7 
 
 54.4 
 
 i5.3 
 
 76.3 
 
 37.6 
 
 12 
 
 i3 
 
 i3.o 
 
 73.0 
 
 33.0 
 
 93.1 
 
 53.2 
 
 i3.4 
 
 73.7 
 
 34.2 
 
 94.7 
 
 55.4 
 
 16.3 
 
 77.3 
 
 38.6 
 
 i3 
 
 i4 
 
 i4.o 
 
 74.0 
 
 34.0 
 
 94.1 
 
 54.2 
 
 i4.4 
 
 74.7 
 
 35.2 
 
 95.7 
 
 56.4 
 
 17.3 
 
 78.4 
 
 39.6 
 
 i4 
 
 i5 
 
 i5.o 
 
 75.0 
 
 35.0 
 
 95.1 
 
 55.2 
 
 i5.4 
 
 75.7 
 
 36.2 
 
 96.7 
 
 57.4 
 
 18.3 
 
 79-4 
 
 40.7 
 
 i5 
 
 i6 
 
 16.0 
 
 76.0 
 
 36.0 
 
 96.1 
 
 56.2 
 
 16.4 
 
 76.8 
 
 37.2 
 
 97-7 
 
 58.4 
 
 19.3 
 
 80.4 
 
 41.7 
 
 16 
 
 •7 
 
 17.0 
 
 77-0 
 
 37.0 
 
 97.1 
 
 57.2 
 
 17.5 
 
 77.8 
 
 38.2 
 
 98.7 
 
 59.4 
 
 20.3 
 
 81.4 
 
 42.7 
 
 17 
 
 i8 
 
 18.0 
 
 78.0 
 
 38.0 
 
 98.1 
 
 58.2 
 
 18.5 
 
 78.8 
 
 39.2 
 
 99.8 
 
 60.5 
 
 21.3 
 
 82.4 
 
 43.7 
 
 18 
 
 19 
 
 19.0 
 
 79.0 
 
 39.0 
 
 99.1 
 
 59.2 
 
 19.5 
 
 79.8 
 
 4o.2 
 
 5oo.8 
 
 61.5 
 
 22.4 
 
 83.5 
 
 44.8 
 
 J9 
 
 20 
 
 20.0 
 
 80.0 
 
 i4o.o 
 
 200.1 
 
 260.2 
 
 320.5 
 
 38o.8 
 
 441.2 
 
 5oi.8 
 
 562.5 
 
 623.4 
 
 684.5 
 
 745.8 
 
 20 
 
 21 
 
 21.0 
 
 81.0 
 
 4i.o 
 
 01. 1 
 
 61.3 
 
 21.5 
 
 81.8 
 
 42.2 
 
 02.8 
 
 63.5 
 
 24.4 
 
 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 
 
 83.0 
 
 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 
 
 85.0 
 
 45.0 
 
 o5.i 
 
 65.3 
 
 25.5 
 
 85.8 
 
 46.3 
 
 06.8 
 
 67.6 
 
 28.5 
 
 89.6 
 
 r 
 00.9 
 
 25 
 
 26 
 
 26.0 
 
 86.0 
 
 46.0 
 
 06.1 
 
 66.3 
 
 26.5 
 
 86.8 
 
 47.3 
 
 07.8 
 
 68.6 
 
 29.5 
 
 90.6 
 
 5 1. 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 
 
 53.0 
 
 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 
 
 54.0 
 
 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 
 
 55.0 
 
 29 
 
 3o 
 
 3o.o 
 
 90.0 
 
 i5o.o 
 
 210. 1 
 
 270.3 
 
 330.5 
 
 390.8 
 
 45i.3 
 
 5i 1.9 
 
 572.6 
 
 633.5 
 
 694.7 
 
 756.0 
 
 3o 
 
 3i 
 
 3i.o 
 
 91.0 
 
 5i.o 
 
 II. I 
 
 71.3 
 
 3i.5 
 
 91.8 
 
 52.3 
 
 12.9 
 
 73.7 
 
 34.6 
 
 95.7 
 
 57.1 
 
 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 
 
 58.1 
 
 32 
 
 33 
 
 33.0 
 
 93.0 
 
 53.1 
 
 i3.i 
 
 73.3 
 
 33.5 
 
 93.9 
 
 54.3 
 
 14.9 
 
 75.7 
 
 36.6 
 
 97-7 
 
 59.1 
 
 33 
 
 34 
 
 34.0 
 
 94.0 
 
 54.1 
 
 i4.i 
 
 74.3 
 
 34.5 
 
 94.9 
 
 55.3 
 
 i5.9 
 
 76.7 
 
 37.6 
 
 98.7 
 
 60.1 
 
 34 
 
 35 
 
 35.0 
 
 95.0 
 
 55.1 
 
 i5.i 
 
 75.3 
 
 35.5 
 
 95.9 
 
 56.3 
 
 16.9 
 
 77-7 
 
 38.6 
 
 99.8 
 
 61.1 
 
 35 
 
 36 
 
 36.0 
 
 96.0 
 
 56.1 
 
 16. 1 
 
 76.3 
 
 36.5 
 
 96.9 
 
 57.3 
 
 18.0 
 
 78.7 
 
 39.6 
 
 700.8 
 
 62.2 
 
 36 
 
 3? 
 
 37.0 
 
 97.0 
 
 57.1 
 
 17.1 
 
 77.3 
 
 37.5 
 
 97-9 
 
 58.4 
 
 19.0 
 
 79-7 
 
 40.7 
 
 01.8 
 
 63.2 
 
 37 
 
 38 
 
 38.0 
 
 98.0 
 
 58.1 
 
 18. 1 
 
 78.3 
 
 38.5 
 
 98.9 
 
 59.4 
 
 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 39 
 
 4o 
 
 4o.o 
 
 100. 
 
 160. 1 
 
 220.2 
 
 280.3 
 
 340.6 
 
 400.9 
 
 461.4 
 
 522. 
 
 582.8 
 
 643.7 
 
 704.9 
 
 766.3 
 
 4o 
 
 4i 
 
 4i.o 
 
 01. 
 
 61. 1 
 
 21.2 
 
 81.3 
 
 4i.6 
 
 01.9 
 
 62.4 
 
 23.0 
 
 83.8 
 
 44.7 
 
 o5.9 
 
 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 
 
 43.0 
 
 o3.o 
 
 63.1 
 
 23.2 
 
 83.3 
 
 43.6 
 
 03.9 
 
 64.4 
 
 25. 
 
 85.8 
 
 46.8 
 
 07.9 
 
 69.3 
 
 43 
 
 44 
 
 44.0 
 
 o4.o 
 
 64.1 
 
 24.2 
 
 84.3 
 
 44.6 
 
 04.9 
 
 65.4 
 
 26.0 
 
 86.8 
 
 47.8 
 
 09.0 
 
 70.4 
 
 44 
 
 45 
 
 45.0 
 
 o5.o 
 
 65.1 
 
 25.2 
 
 85.3 
 
 45.6 
 
 o5.9 
 
 66.4 
 
 27.1 
 
 87.9 
 
 48.8 
 
 1 0.0 
 
 71.4 
 
 45 
 
 46 
 
 46.0 
 
 06.0 
 
 66.1 
 
 26.2 
 
 86.3 
 
 46.6 
 
 07.0 
 
 67.4 
 
 28.1 
 
 88.9 
 
 49-8 
 
 II.O 
 
 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 
 
 48.0 
 
 08.0 
 
 68.1 
 
 28.2 
 
 88.3 
 
 48.6 
 
 09.0 
 
 69.5 
 
 3o.i 
 
 90.9 
 
 5i.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 
 
 75.5 
 
 49 
 
 5o 
 
 5o.o 
 
 IIO.O 
 
 170. 1 
 
 23o.2 
 
 290.3 
 
 35o.6 
 
 4ii.o 
 
 471.5 
 
 532.1 
 
 592.9 
 
 653.9 
 
 7x5.1 
 
 776.5 
 
 5o 
 
 5i 
 
 5i.o 
 
 II.O 
 
 71. 1 
 
 3l.2 
 
 91.3 
 
 5i.6 
 
 12.0 
 
 72.5 
 
 33.1 
 
 93.9 
 
 54.9 
 
 16.1 
 
 77.5 
 
 5i 
 
 52 
 
 5 2.0 
 
 12.0 
 
 72.1 
 
 32.2 
 
 92.4 
 
 52.6 
 
 i3.o 
 
 73.5 
 
 34.1 
 
 95.0 
 
 55.9 
 
 17. 1 
 
 78.6 
 
 52 
 
 53 
 
 53.0 
 
 I 3.0 
 
 73.1 
 
 33.2 
 
 93.4 
 
 53.6 
 
 i4.o 
 
 74.5 
 
 35.1 
 
 96.0 
 
 57.0 
 
 18.2 
 
 79.6 
 
 53 
 
 54 
 
 54.0 
 
 i4.o 
 
 74.1 
 
 34.2 
 
 94.4 
 
 54.6 
 
 i5.o 
 
 75.5 
 
 36.2 
 
 97.0 
 
 58.0 
 
 19.2 
 
 80.6 
 
 54 
 
 55 
 
 55.0 
 
 i5.o 
 
 75.1 
 
 35.2 
 
 95.4 
 
 55.6 
 
 16.0 
 
 76.5 
 
 37.2 
 
 98.0 
 
 59.0 
 
 20.2 
 
 81.7 
 
 55 
 
 56 
 
 56.0 
 
 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 
 
 57 
 
 57.0 
 
 17.0 
 
 77-1 
 
 37.2 
 
 97-4 
 
 57.6 
 
 18.0 
 
 78.5 
 
 39.2 
 
 600.0 
 
 61.0 
 
 22.3 
 
 83.7 
 
 57 
 
 58 
 
 58.0 
 
 18.0 
 
 78.1 
 
 38.2 
 
 98.4 
 
 58.6 
 
 19.0 
 
 79.5 
 
 4o.2 
 
 01. 
 
 62.1 
 
 23.3 
 
 84-7 
 
 58 
 
 59 
 
 59.0 
 
 19.0 
 
 79.1 
 
 39.2 99.4 
 
 59.7 
 
 20.0 
 
 80.5 
 
 4l.2 
 
 02.1 
 
 63.1 
 
 24.3 
 
 85.8 
 
 59 
 
Meridional Parts. 
 
 197 
 
 LATITUDE. 
 
 i 
 
 13° 
 
 14° 
 
 15° 
 
 16° 
 
 17° 
 
 18° 
 
 19° 
 
 20° 
 
 21° 
 
 22° 
 
 23° 
 
 24° 
 
 a 
 
 o 
 
 786.8 
 
 848.5 
 
 910.5 
 
 972.7 
 
 I035.3 
 
 1098.2 
 
 1161.5 
 
 1225.1 
 
 1289.2 
 
 1353.7 
 
 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 
 
 37.4 
 
 1 100.3 
 
 63.6 
 
 27.3 
 
 91.3 
 
 55.8 
 
 20.8 
 
 86.3 
 
 2 
 
 3 
 
 89.9 
 
 5i.6 
 
 i3.6 
 
 75.9 
 
 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 
 
 39.5 
 
 02.4 
 
 65.7 
 
 29.4 
 
 93.5 
 
 58.0 
 
 23.0 
 
 88.4 
 
 4 
 
 5 
 
 91.9 
 
 53.6 
 
 i5.7 
 
 78.0 
 
 40.5 
 
 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 
 
 95.6 
 
 60.1 
 
 25.1 
 
 90.6 
 
 6 
 
 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 
 
 / 
 
 8 
 
 9 
 
 96.0 
 
 57.8 
 
 19.8 
 
 82.1 
 
 44.7 
 
 07.7 
 
 71.0 
 
 34.7 
 
 98.8 
 
 63.4 
 
 28.4 
 
 93.9 
 
 9 
 
 10 
 
 797.0 
 
 858.8 
 
 920.8 
 
 983.2 
 
 1045.8 
 
 1 108.7 
 
 1172.1 
 
 1235.8 
 
 1299.9 
 
 1364.5 
 
 1429.5 
 
 1495.0 
 
 10 
 
 II 
 
 98.1 
 
 59.8 
 
 21.9 
 
 84.2 
 
 46.8 
 
 09.8 
 
 73.1 
 
 36.8 
 
 i3oi.o 
 
 65.6 
 
 3o.6 
 
 96.1 
 
 II 
 
 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 
 
 11.9 
 
 75.2 
 
 39.0 
 
 o3.i 
 
 67.7 
 
 32.8 
 
 98.3 
 
 i3 
 
 i4 
 
 01.2 
 
 62.9 
 
 25. 
 
 87.3 
 
 49.9 
 
 12.9 
 
 76.3 
 
 4o.o 
 
 o4.2 
 
 68.8 
 
 33.9 
 
 99.4 
 
 i4 
 
 i5 
 
 02.2 
 
 64.0 
 
 26.0 
 
 88.4 
 
 5i.o 
 
 i4.o 
 
 77-4 
 
 4i.i 
 
 o5.3 
 
 69.9 
 
 34.9 
 
 i5oo.5 
 
 i5 
 
 i6 
 
 o3.2 
 
 65.0 
 
 27.0 
 
 89.4 
 
 52.0 
 
 i5.o 
 
 78.4 
 
 42.2 
 
 06.3 
 
 70.9 
 
 36.0 
 
 01.6 
 
 16 
 
 17 
 
 o4.2 
 
 66.0 
 
 28.1 
 
 90.4 
 
 53.1 
 
 16.1 
 
 79.5 
 
 43.2 
 
 07.4 
 
 72.0 
 
 37.1 
 
 02.7 
 
 17 
 
 i8 
 
 o5.3 
 
 67.1 
 
 29.1 
 
 91.5 
 
 54.1 
 
 17. 1 
 
 80.5 
 
 44.3 
 
 08.5 
 
 73.1 
 
 38.2 
 
 o3.8 
 
 18 
 
 19 
 
 06.3 
 
 68.1 
 
 3o.i 
 
 92.5 
 
 55.2 
 
 18.2 
 
 81.6 
 
 45.4 
 
 09.6 
 
 74.2 
 
 39.3 
 
 04.9 
 
 19 
 
 20 
 
 807.3 
 
 869.1 
 
 931.2 
 
 993.6 
 
 io56.2 
 
 1 1 1 9.2 
 
 1 1 82.7 
 
 1246.4 
 
 i3io.6 
 
 1375.3 
 
 1 440.4 
 
 i5o6.o 
 
 20 
 
 21 
 
 08.4 
 
 70.1 
 
 32.2 
 
 94.6 
 
 57.3 
 
 20.3 
 
 83.7 
 
 47.5 
 
 II. 7 
 
 76.4 
 
 4i.5 
 
 07.1 
 
 21 
 
 22 
 
 09.4 
 
 71.2 
 
 33.3 
 
 95.6 
 
 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 
 
 59.4 
 
 22.4 
 
 85.8 
 
 49.6 
 
 i3.8 
 
 78.5 
 
 43.7 
 
 09.3 
 
 23 
 
 24 
 
 11.4 
 
 73.2 
 
 35.3 
 
 97-7 
 
 60.4 
 
 23.4 
 
 86.9 
 
 5o.7 
 
 14.9 
 
 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 
 
 II.5 
 
 25 
 
 26 
 
 i3.5 
 
 75.3 
 
 37.4 
 
 99.8 
 
 62.5 
 
 25.5 
 
 89.0 
 
 52.8 
 
 17. 1 
 
 81.8 
 
 46.9 
 
 12.6 
 
 26 
 
 27 
 
 i4.5 
 
 76.3 
 
 38.4 
 
 1000.8 
 
 63.5 
 
 26.6 
 
 90.1 
 
 53.9 
 
 18. 1 
 
 82.8 
 
 48.0 
 
 i3.7 
 
 27 
 
 28 
 
 i5.5 
 
 77-4 
 
 39.5 
 
 01.9 
 
 64.6 
 
 27.6 
 
 91. 1 
 
 55.0 
 
 19.2 
 
 83.9 
 
 49.1 
 
 i4.8 
 
 28 
 
 29 
 
 i6.6 
 
 78.4 
 
 4o.5 
 
 02.9 
 
 65.6 
 
 28.7 
 
 92.2 
 
 56.0 
 
 20.3 
 
 85.0 
 
 5o.2 
 
 i5.9 
 
 29 
 
 3o 
 
 817.6 
 
 879.4 
 
 941.6 
 
 1004.0 
 
 1066.7 
 
 II 29.7 
 
 1193.2 
 
 1257. 1 
 
 i32i.4 
 
 I386.I 
 
 i45i.3 
 
 i5i7.o 
 
 3o 
 
 3i 
 
 18.6 
 
 80.5 
 
 42.6 
 
 o5.o 
 
 67.7 
 
 3o.8 
 
 94.3 
 
 58.2 
 
 22.5 
 
 87.2 
 
 52.4 
 
 18.1 
 
 3i 
 
 32 
 
 19.6 
 
 81.5 
 
 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 
 
 60.3 
 
 24.6 
 
 89.4 
 
 54.6 
 
 20.3 
 
 33 
 
 34 
 
 21.7 
 
 83.6 
 
 45.7 
 
 08.1 
 
 70.9 
 
 34.0 
 
 97.5 
 
 61.4 
 
 25.7 
 
 90.4 
 
 55.6 
 
 21.4 
 
 34 
 
 35 
 
 22.7 
 
 84.6 
 
 46.7 
 
 09.2 
 
 72.0 
 
 35.1 
 
 98.5 
 
 62.4 
 
 26.7 
 
 91.5 
 
 56.7 
 
 22.5 
 
 35 
 
 36 
 
 23.8 
 
 85.6 
 
 47-8 
 
 10.2 
 
 73.0 
 
 36.1 
 
 99.6 
 
 63.5 
 
 27.8 
 
 92.6 
 
 57.8 
 
 23.6 
 
 36 
 
 37 
 
 24.8 
 
 86.7 
 
 48.8 
 
 II.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 
 
 75.1 
 
 38.2 
 
 01.7 
 
 65.6 
 
 3o.o 
 
 94.8 
 
 60.0 
 
 25.8 
 
 38 
 
 39 
 
 26.9 
 
 88.7 
 
 50.9 
 
 i3.4 
 
 76.2 
 
 39.3 
 
 02.8 
 
 66.7 
 
 3i.i 
 
 95.8 
 
 61. 1 
 
 26.9 
 
 39 
 
 4o 
 
 827.9 
 
 889.8 
 
 951.9 
 
 1014.4 
 
 1077.2 
 
 ii4o.3 
 
 1203.9 
 
 1267.8 
 
 i332.i 
 
 1396.9 
 
 1462.2 
 
 i528.o 
 
 4o 
 
 4i 
 
 28.9 
 
 90.8 
 
 53.0 
 
 i5.4 
 
 78.3 
 
 4i.4 
 
 04.9 
 
 68.8 
 
 33.2 
 
 98.0 
 
 63.3 
 
 29.1 
 
 4i 
 
 42 
 
 29.9 
 
 91.8 
 
 54.0 
 
 16.5 
 
 79.3 
 
 42.4 
 
 06.0 
 
 69-9 
 
 34.3 
 
 99.1 
 
 64.4 
 
 3o.2 
 
 42 
 
 43 
 
 3i.o 
 
 92.9 
 
 55.1 
 
 17.5 
 
 80.4 
 
 43.5 
 
 07.1 
 
 71.0 
 
 35.3 
 
 l400.2 
 
 65.5 
 
 3i.3 
 
 43 
 
 44 
 
 32.0 
 
 93.9 
 
 56.1 
 
 18.6 
 
 81.4 
 
 44.6 
 
 08.1 
 
 72.1 
 
 36.4 
 
 01.3 
 
 66.6 
 
 32.4 
 
 44 
 
 45 
 
 33.0 
 
 94.9 
 
 57.1 
 
 19.6 
 
 82.5 
 
 45.6 
 
 09.2 
 
 73.1 
 
 37.5 
 
 02.4 
 
 67.7 
 
 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 1 
 
 47 
 
 35.1 
 
 97.0 
 
 59.2 
 
 21.7 
 
 84.6 
 
 47-7 
 
 II. 3 
 
 75.3 
 
 39.7 
 
 o4.5 
 
 69.8 
 
 35.7 
 
 47 
 
 48 
 
 36.1 
 
 98.0 
 
 60.2 
 
 22,7 
 
 85.6 
 
 48.8 
 
 12.4 
 
 76.3 
 
 40.7 
 
 o5.6 
 
 70.9 
 
 36.8 
 
 48 
 
 49 
 
 37.2 
 
 99.1 
 
 61.3 
 
 23.8 
 
 86.7 
 
 49-9 
 
 1 3.4 
 
 77-4 
 
 4i.8 
 
 06.7 
 
 72.0 
 
 37.9 
 
 49 
 
 5o 
 
 838.2 
 
 900.1 
 
 962.3 
 
 1024.8 
 
 1087.7 
 
 ii5o.9 
 
 12x4.5 
 
 1278.5 
 
 1342.9 
 
 1407.8 
 
 1473. 1 
 
 1539.0 
 
 5o 
 
 5i 
 
 39.2 
 
 01. 1 
 
 63.4 
 
 25.9 
 
 88 8 
 
 52. 
 
 i5.5 
 
 79.5 
 
 44.0 
 
 08.8 
 
 74.2 
 
 4o.i 
 
 5i 
 
 52 
 
 4o.2 
 
 02.2 
 
 64.4 
 
 26.9 
 
 89.8 
 
 53.0 
 
 16.6 
 
 80.6 
 
 45.1 
 
 09.9 
 
 75.3 
 
 4l.2 
 
 52 
 
 53 
 
 4i.3 
 
 o3.2 
 
 65.5 
 
 28.0 
 
 90.9 
 
 54.1 
 
 17.7 
 
 81.7 
 
 46.1 
 
 II.O 
 
 76.4 
 
 42.3 
 
 53 
 
 54 
 
 42.3 
 
 o4.3 
 
 66.5 
 
 29.0 
 
 91.9 
 
 55.1 
 
 18.7 
 
 82.8 
 
 47-2 
 
 12. 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 
 
 l3.2 
 
 78.6 
 
 44.5 
 
 55 
 
 56 
 
 44.4 
 
 06.3 
 
 68.6 
 
 3i.i 
 
 94.0 
 
 57.2 
 
 20.9 
 
 84.9 
 
 49.4 
 
 i4.3 
 
 79-7 
 
 45.6 
 
 56 
 
 57 
 
 45.4 
 
 07.4 
 
 69.6 
 
 32.2 
 
 95.1 
 
 58.3 
 
 21.9 
 
 86.0 
 
 5o.4 
 
 i5.4 
 
 80.8 
 
 46.7 
 
 57 
 
 58 
 
 46.4 
 
 08.4 
 
 70.7 
 
 33.2 
 
 96.1 
 
 59.4 
 
 23.0 
 
 87.0 
 
 5i.5 
 
 16.5 
 
 81.9 
 
 47.8 
 
 58 
 
 59 
 
 47/'! 09.4 
 
 71.7 
 
 34.3 
 
 97.2 
 
 60.4 
 
 24.1 
 
 88.1 
 
 52.6 
 
 17.5 
 
 83.0 
 
 48.959 
 
198 
 
 Meridional Parts. 
 
 LATITUDE. 
 
 Min. 
 
 25° 
 
 26° 
 
 27° 
 
 28° 
 
 29° 
 
 30° 
 
 31° 
 
 32° 
 
 33° 
 
 34° 
 
 35° 
 
 Min. 
 
 o 
 
 [ 55o.o 
 
 1616.5 
 
 1683.5 
 
 1751.2 
 
 [819.4 
 
 1888.4 
 
 1958.0 ' 
 
 2028.4 
 
 2099.5 
 
 2171.5 
 
 2244.3 
 
 
 
 T 
 
 5 1. 1 
 
 17.6 
 18.7 
 19.8 
 20.9 
 22.0 
 
 84.6 
 
 52.3 
 
 20.6 
 
 89.5 
 
 59.2 
 
 29.6 
 
 2100.7 
 
 72.7 
 
 45.5 
 
 I 
 
 A 
 Q 
 
 62.2 
 
 85.8 
 
 53.4 
 
 21.7 
 
 90.7 
 
 60.4 
 
 30.7 
 
 01.9 
 
 73.9 
 
 46.8 
 
 2 
 
 3 
 
 53.3 
 
 86.9 
 
 54.6 
 
 22.9 
 
 91.9 
 
 61.6 
 
 31.9 
 
 o3.i 
 
 75.1 
 
 48.0 
 
 3 
 
 4 
 5 
 
 54 4 
 
 88.0 
 
 55.7 
 
 24.0 
 
 93.0 
 
 62.7 
 
 33.1 
 
 o4.3 
 
 76.3 
 
 49.2 
 
 4 
 
 55.5 
 
 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 
 
 58.0 
 
 26.3 
 
 95.3 
 
 65.0 
 
 35.5 
 
 06.7 
 
 78.7 
 
 5i.6 
 
 6 
 
 7 
 
 8 
 
 57.7 
 
 58.8 
 
 24.3 
 
 91.4 
 
 59.1 
 
 27.5 
 
 96.5 
 
 66.2 
 
 36,7 
 
 07.9 
 
 80.0 
 
 52.9 
 
 7 
 
 25.4 
 
 92.5 
 
 60.2 
 
 28.6 
 
 97.6 
 
 67.4 
 
 37.8 
 
 09.1 
 
 81.2 
 
 54.1 
 
 8 
 
 9 
 
 59.9 
 
 26.5 
 
 93.6 
 
 61.4 
 
 29.7 
 
 98.8 
 
 68.5 
 
 39.0 
 
 10.3 
 
 82.4 
 
 55.3 
 
 9 
 
 10 
 
 i56i.o 
 
 1627.6 
 
 1694.8 
 
 [762.5 
 
 [83o.9 
 
 1899.9 
 
 1969.7 
 
 2040.2 
 
 2III.5 
 
 2183.6 
 
 2256.5 
 
 10 
 
 1 1 
 
 62.1 
 
 28.7 
 
 95.9 
 
 63.6 
 
 32.0 
 
 1901.1 
 
 70.9 
 
 4i.4 
 
 12.7 
 
 84.8 
 
 57.8 
 
 II 
 
 12 
 
 63.2 
 
 29.8 
 3i.o 
 
 97.0 
 
 64.8 
 
 33.2 
 
 02.3 
 
 72.0 
 
 42.6 
 
 i3.9 
 
 86.0 
 
 59.0 
 
 12 
 
 i3 
 
 64.4 
 
 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 
 
 o4.6 
 
 74.4 
 
 44.9 
 
 16.3 
 
 88.4 
 
 61.4 
 
 i4 
 
 i5 
 
 66.6 
 
 33.2 
 
 7 7 
 
 1700.4 
 
 68.2 
 
 36.6 
 
 o5.7 
 
 75.6 
 
 46.1 
 
 17.5 
 
 89.6 
 
 62.7 
 
 i5 
 
 i6 
 
 67.7 
 
 34.3 
 
 01.5 
 
 69.3 
 
 37.8 
 
 06.9 
 
 76.8 
 
 47.3 
 
 18.7 
 
 90.8 
 
 63.9 
 
 16 
 
 17 
 i8 
 
 68.8 
 
 35.4 
 
 02.6 
 
 70.5 
 
 38.9 
 
 08.1 
 
 77-9 
 
 48.5 
 
 19.8 
 
 92.0 
 
 65.1 
 
 17 
 
 69.9 
 71.0 
 
 36.5 
 
 o3.8 
 
 71.6 
 
 4o.i 
 
 09.2 
 
 79.1 
 
 49.7 
 
 21.0 
 
 93.3 
 
 66.3 
 
 18 
 
 19 
 
 37.6 
 
 04.9 
 
 72.7 
 
 4l.2 
 
 10.4 
 
 80.2 
 
 5o.8 
 
 22.2 
 
 94.4 
 
 67.5 
 
 19 
 
 20 
 
 1572. 1 
 
 i638.8 
 
 1706.0 
 
 1773.9 
 
 1842.4 
 
 1911.5 
 
 1981.4 
 
 2052.0 
 
 2123.4 
 
 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 
 
 7 7 
 
 4i.o 
 
 08.3 
 
 76.1 
 
 44.6 
 
 i3.8 
 
 83.7 
 
 54.4 
 
 25.8 
 
 98.1 
 
 71.2 
 
 22 
 
 23 
 
 75.4 
 
 42.1 
 
 09.4 
 
 77.2 
 
 45.8 
 
 1 5.0 
 
 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 
 
 58.0 
 
 29.4 
 
 01 .7 
 
 74.9 
 
 25 
 
 26 
 
 78.7 
 
 45.5 
 
 12.8 
 
 80.6 
 
 49.2 
 
 18.5 
 
 88.4 59.11 
 
 3o.6 
 
 o3,o 
 
 76.1 
 
 26 
 
 27 
 28 
 
 79.8 
 
 46.6 
 
 i3.9 
 
 81.8 
 
 5o.4 
 
 19.6 
 
 89.6 
 
 60.3 
 
 3i.8 
 
 o4.2 
 
 77.4 
 
 27 
 
 80.9 
 
 l^l-l 
 
 1 5.0 
 
 83.0 
 
 5i.5 
 
 20.8 
 
 90.8 
 
 61.5 
 
 33.0 
 
 o5.4 
 
 78.6 
 
 28 
 
 29 
 
 82.1 
 
 48.8 
 
 16. 1 
 
 84.1 
 
 52.7 
 
 21.9 
 
 92.0 
 
 62.7 
 
 34.2 
 
 c6.6 
 
 79.8 
 
 29 
 
 3o 
 
 i583.2 
 
 1649.9 
 
 1717.3 
 
 1785.2 
 
 1853.8 
 
 1923.1 
 
 1993.1 
 
 2063.9 
 
 2135.4 
 
 2207.8 
 
 2281.0 
 
 3o 
 
 3i 
 
 84.3 
 
 5i.o 
 
 18.4 
 
 86.4 
 
 55.0 
 
 24.3 
 
 94.3 
 
 65.1 
 
 36.6 
 
 09.0 
 
 82,3 
 
 3i 
 
 32 
 
 85.4 
 
 52.2 
 
 19.5 
 
 87.5 
 
 56.1 
 
 25.4 
 
 95.5 
 
 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 
 
 54.4 
 
 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 
 
 59.6 
 
 28.9 
 
 99.0 
 
 69.8 
 
 4i.4 
 
 13.9 
 
 87.2 
 
 35 
 
 36 
 
 89.8 
 90.9 
 
 56.6 
 
 24.0 
 
 92.1 
 
 60.7 
 
 3o.i 
 
 2000.2 
 
 71.0 
 
 42.6 
 
 i5.i 
 
 88.4 
 
 36 
 
 37 
 
 57.8 
 
 25.2 
 
 93.2 
 
 61.9 
 
 31.3 
 
 01.3 
 
 72,2 
 
 43,8 
 
 16.3 
 
 89.7 
 
 37 
 
 38 
 
 7 7 
 
 92,0 
 
 58.9 
 
 26.3 
 
 94.3 
 
 63.0 
 
 32.4 
 
 02.5 
 
 73.4 
 
 45.0 
 
 17.5 
 
 90.9 
 
 38 
 
 39 
 
 93.1 
 
 60.0 
 
 27.4 
 
 95.5 
 
 64.2 
 
 33.6 
 
 03.7 
 
 74.5 
 
 46.2 
 
 18.7 
 
 92.1 
 
 39 
 
 4o 
 
 1594.3 
 
 1661. 1 
 
 1728.6 
 
 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 
 
 37.1 
 
 07.2 
 
 78.1 
 
 49.8 
 
 22.4 
 
 95.8 
 
 42 
 
 43 
 
 97.6 
 
 64.5 
 
 3i.9 
 
 1800.0 
 
 68.8 
 
 38.2 
 
 08.4 
 
 79.3 
 
 5i.o 
 
 23,6 
 
 97.0 
 
 43 
 
 44 
 
 98.7 
 
 65.6 
 
 33.1 
 
 01.2 
 
 69.9 
 
 39.4 
 
 09.6 
 
 80.5 
 
 52.2 
 
 24.8 
 
 98.3 
 
 44 
 
 45 
 
 99.8 
 
 66.7 
 
 34.2 
 
 02.3 
 
 71.1 
 
 40.5 
 
 10.7 
 
 81.7 
 
 53.4 
 
 26.0 
 
 99.5 
 
 45 
 
 46 
 
 1600.9 
 
 67.8 
 
 35.3 
 
 o3.5 
 
 72.2 
 
 41.7 
 
 II. 9 
 
 82.9 
 
 54.6 
 
 27.2 
 
 2300.7 
 
 46 
 
 47 
 
 02.0 
 
 69.0 
 
 36.5 
 
 04.6 
 
 73.4 
 
 42.9 
 
 i3.i 
 
 84.0 
 
 55.8 
 
 28.5 
 
 02,0 
 
 47 
 
 48 
 
 o3.i 
 
 70.1 
 
 37.6 
 
 05.7 
 
 74.5 
 
 44.0 
 
 i4.3 
 
 85.2 
 
 57.0 
 
 29.7 
 
 o3.2 
 
 48 
 
 49 
 
 o4.2 
 
 71.2 
 
 38.7 
 
 06.9 
 
 75.7 
 
 45.2 
 
 i5.4 
 
 86.4 58.2 
 
 30.9 
 
 o4.4 
 
 49 
 
 5o 
 
 i6o5.4 
 
 1672.3 
 
 1739.9 
 
 1808.C 
 
 1876.8 
 
 1946./ 
 
 2016.6 
 
 2087.6 
 
 2159./ 
 
 2232.1 
 
 23o5.7 
 
 5o 
 
 5i 
 
 06. S 
 
 73.ZI 
 
 4i.c 
 
 ) 09,2 
 
 78.C 
 
 47.5 
 
 17.8 
 
 88.S 
 
 60.7 
 
 33.3 
 
 06.5 
 
 5i 
 
 52 
 
 o7.f 
 
 ) 74.J 
 
 ) 42. T 
 
 10.2 
 
 79.2 
 
 48.7 
 
 19. c 
 
 90. c 
 
 ) 61.9 
 
 34.6 
 
 08.1 
 
 52 
 
 53 
 
 08,' 
 
 ] 75.' 
 
 ] 43.S 
 
 ! 11./ 
 
 \ 80.; 
 
 > 49.^ 
 
 20.2 
 
 91.^ 
 
 ! 63,1 
 
 35.e 
 
 09./ 
 
 53 
 
 54 
 
 09. J 
 
 J 76.^ 
 
 ^ 44./ 
 
 I i2.e 
 
 ) 8i.f 
 
 ) 5i.c 
 
 ) 21.2 
 
 92./ 
 
 1 64.2 
 
 37.C 
 
 ) 10.6 
 
 ) 54 
 
 55 
 
 10 ( 
 
 ) 77-< 
 
 ? 45.: 
 
 ) i3.' 
 
 1 82,( 
 
 ) 52.2 
 
 22. f 
 
 > 93.( 
 
 5 65. J 
 
 38.2 
 
 ! li.e 
 
 ! 55 
 
 56 
 
 12. ( 
 
 3 79-< 
 
 5 46.( 
 
 5 i4.( 
 
 ) 83.J 
 
 \ 53,/ 
 
 1 23.' 
 
 r 94.^ 
 
 \ 66,' 
 
 ? 39,/ 
 
 i3,i 
 
 56 
 
 57 
 
 i3. 
 
 I 8o.' 
 
 2 47.* 
 
 \ 16. ( 
 
 3 84.( 
 
 ? 54.J 
 
 ) 24.1 
 
 ) 96.< 
 
 ) 67, c 
 
 ) 4o.' 
 
 ] i4.: 
 
 \ 57 
 
 58 
 
 i4. 
 
 2 81. 
 
 3 48.( 
 
 ? 17-' 
 
 I 86. 
 
 55.' 
 
 7 26. ( 
 
 ) 97. 
 
 [ 69,1 
 
 41.C 
 
 ) i5,f 
 
 ) 58 
 
 59 
 
 i5. 
 
 4 82. 
 
 i 5o.( 
 
 D 18.' 
 
 5 87,. 
 
 2 56.( 
 
 ? 27.! 
 
 J 98.3 70,3 43. 
 
 16.^ 
 
 < 59 
 
Meridional Pakts. 
 
 199 
 
 LATITUDE. 
 
 Min. 
 
 36° 
 
 37° 
 
 38° 
 
 39° 
 
 40° 
 
 41° 
 
 42° 
 
 43° 
 
 44° 
 
 45° 
 
 46° 
 
 Min. 
 
 o 
 
 23i8.o 
 
 2392.6 
 
 2468.3 
 
 2545.0 
 
 2622.7 
 
 2701.6 
 
 2781.7 
 
 2863.1 
 
 2945.8 
 
 3o3o.o 
 
 iii5.6 
 
 
 
 I 
 
 19.2 
 
 93.9 
 
 69.5 
 
 46.2 
 
 24.0 
 
 02.9 
 
 83.1 
 
 64.5 
 
 47.2 
 
 3i.4 
 
 17.0 
 
 I 
 
 2 
 
 20.5 
 
 95.1 
 
 70.8 
 
 47.5 
 
 25.3 
 
 o4.3 
 
 84.4 
 
 65.8 
 
 48.6 
 
 32.8 
 
 18.5 
 
 2 
 
 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., 
 
 68.5 
 
 5i.4 
 
 35.6 
 
 21.4 
 
 4 
 
 5 
 
 24.2 
 
 98.9 
 
 74.6 
 
 5i.4 
 
 29.2 
 
 08.3 
 
 88.5 
 
 70.0 
 
 52.8 
 
 37.0 
 
 22.8 
 
 5 
 
 6 
 
 25.4 
 
 2400.2 
 
 75.9 
 
 52.7 
 
 3o.5 
 
 09.6 
 
 89.8 
 
 71.3 
 
 54.2 
 
 38.4 
 
 24.2 
 
 6 
 
 7 
 
 26.7 
 
 01.4 
 
 77.1 
 
 54.0 
 
 31.9 
 
 10.9 
 
 91.2 
 
 72.7 
 
 55.6 
 
 39.8 
 
 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 
 
 o3.9 
 
 79-7 
 
 56.6 
 
 34.5 
 
 i3.5 
 
 93.8 
 
 75.4 
 
 58.3 
 
 42.7 
 
 28.5 
 
 9 
 
 lO 
 
 2330.4 
 
 24o5.2 
 
 2481.0 
 
 2557.8 
 
 2635.8 
 
 2714.9 
 
 2795.1 
 
 2876.8 
 
 2959.8 
 
 3o44.i 
 
 3i3o.o 
 
 10 
 
 II 
 
 3i.6 
 
 06.4 
 
 82.2 
 
 59.1 
 
 37.1 
 
 16.2 
 
 96.5 
 
 78.2 
 
 61. 1 
 
 45.5 
 
 3i.5 
 
 1 1 
 
 12 
 
 32.9 
 
 07.7 
 
 83.5 
 
 60.4 
 
 38.4 
 
 17.5 
 
 97-9 
 
 79.5 
 
 62.5 
 
 47-0 
 
 32.9 
 
 12 
 
 i3 
 
 34.1 
 
 09.0 
 
 84.8 
 
 61.7 
 
 39.7 
 
 18.9 
 
 99.3 
 
 80.9 
 
 63.9 
 
 48.4 
 
 34.3 
 
 i3 
 
 i4 
 
 35.3 
 
 10.2 
 
 86.1 
 
 63.0 
 
 4i.o 
 
 20.2 
 
 2800.6 
 
 82.3 
 
 65.3 
 
 49-8 
 
 35.8 
 
 i4 
 
 i5 
 
 36.6 
 
 II. 5 
 
 87.4 
 
 64.3 
 
 42.3 
 
 21.5 
 
 02.0 
 
 83.7 
 
 66.7 
 
 5l.2 
 
 37.2 
 
 i5 
 
 i6 
 
 37.8 
 
 12.7 
 
 88.6 
 
 65.6 
 
 43.6 
 
 22.9 
 
 o3.3 
 
 85.0 
 
 68.1 
 
 52.6 
 
 38.7 
 
 16 
 
 I? 
 
 39.0 
 
 i4.o 
 
 89.9 
 
 66.9 
 
 44.9 
 
 24.2 
 
 04.7 
 
 86.4 
 
 69.5 
 
 54.1 
 
 4o.i 
 
 17 
 
 i8 
 
 4o.3 
 
 l5.2 
 
 91.2 
 
 68.2 
 
 46.3 
 
 25.5 
 
 06.0 
 
 87.8 
 
 70.9 
 
 55.5 
 
 4i.6 
 
 18 
 
 19 
 
 41.5 
 
 16.5 
 
 92.4 
 
 69.5 
 
 47.6 
 
 26.8 
 
 07.3 
 
 89.1 
 
 72.3 
 
 56.9 
 
 43.0 
 
 19 
 
 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 
 
 44.0 
 
 19.0 
 
 95.0 
 
 72.0 
 
 5o.2 
 
 29.5 
 
 10. 1 
 
 91.9 
 
 75.1 
 
 59.7 
 
 45.9 
 
 21 
 
 22 
 
 45.3 
 
 20.3 
 
 96.3 
 
 73.3 
 
 5i.5 
 
 3o.8 
 
 1 1.4 
 
 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 
 
 64.0 
 
 5o.3 
 
 24 
 
 25 
 
 49.0 
 
 24.0 
 
 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 
 
 58.1 
 
 37.5 
 
 18.2 
 
 2900.2 
 
 83.5 
 
 68.3 
 
 54.6 
 
 27 
 
 28 
 
 52.7 
 
 27.8 
 
 03.9 
 
 81. 1 
 
 59.4 
 
 38.8 
 
 19.5 
 
 01.5 
 
 84.9 
 
 69.7 
 
 56.1 
 
 28 
 
 29 
 
 54.0 
 
 29.1 
 
 o5.2 
 
 82.4 
 
 60.7 
 
 4o.2 
 
 20.9 
 
 02.9 
 
 86.3 
 
 71. 1 
 
 57.5 
 
 29 
 
 3o 
 
 2355.2 
 
 2430.3 
 
 25o6.5 
 
 2583.7 
 
 2662.0 
 
 2741.5 
 
 2822.3 
 
 2904.3 
 
 2987.7 
 
 3072.6 
 
 3159.0 
 
 3o 
 
 3i 
 
 56.5 
 
 3i.6 
 
 07.8 
 
 85.0 
 
 63.3 
 
 42.9 
 
 23.6 
 
 o5.7 
 
 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 
 
 34.1 
 
 10.3 
 
 87.6 
 
 66.0 
 
 45.5 
 
 26.3 
 
 08.4 
 
 91.9 
 
 76.9 
 
 63.3 
 
 33 
 
 34 
 
 7 
 
 60.2 
 
 35.4 
 
 11.6 
 
 88.9 
 
 67.3 
 
 46.9 
 
 27.7 
 
 09.7 
 
 93.3 
 
 78.3 
 
 64.8 
 
 34 
 35 
 
 35 
 
 61.4 
 
 36.7 
 
 12.9 
 
 90.2 
 
 68.6 
 
 48.2 
 
 29.0 
 
 1 1.2 
 
 94.7 
 
 79-7 
 
 66.2 
 
 36 
 
 62.7 
 
 37.9 
 
 l4.2 
 
 91.5 
 
 69.9 
 
 49.5 
 
 3o.4 
 
 12.6 
 
 96.1 
 
 81. 1 
 
 67.7 
 
 36 
 
 
 
 37 
 
 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 
 
 40.4 
 
 16.7 
 
 94.1 
 
 72.5 
 
 52.2 
 
 33.1 
 
 i5.3 
 
 98.9 
 
 84.0 
 
 70.6 
 
 38 
 
 39 
 
 66.4 
 
 41.7 
 
 18.0 
 
 95.4 
 
 73.9 
 
 53.5 
 
 34.5 
 
 16.7 
 
 3ooo.3 
 
 85.4 
 
 72.0 
 
 39 
 
 4o 
 
 2367.6 
 
 2443.0 
 
 2519.3 
 
 2596.7 
 
 2675.2 
 
 2754.9 
 
 2835.8 
 
 2918. 1 
 
 300I.8 
 
 3086.9 
 
 3173.5 
 
 40 
 
 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 
 
 7 
 
 70.2 
 
 45.5 
 
 21.8 
 
 99.3 
 
 77.8 
 
 57.6 
 
 38.6 
 
 20.9 
 
 o4.6 
 
 89.7 
 
 76.4 
 
 42 
 43 
 
 43 
 
 71.4 
 
 46.8 
 
 23.1 
 
 2600.5 
 
 79.1 
 
 58.9 
 
 39.9 
 
 22.3 
 
 06.0 
 
 91.2 
 
 77-9 
 
 44 
 
 72.6 
 
 48.0 
 
 24.4 
 
 01.9 
 
 80.5 
 
 60.2 
 
 4i.3 
 
 23.6 
 
 07.4 
 
 92.6 
 
 79.3 
 
 44 
 
 45 
 
 73.9 
 75.1 
 
 49.3 
 
 25.7 
 
 o3.2 
 
 81.8 
 
 61.5 
 
 42.6 
 
 25.0 
 
 08.8 
 
 94.0 
 
 80.8 
 
 45 
 
 46 
 
 5o.6 
 
 27.0 
 
 o4.5 
 
 83.1 
 
 62.9 
 
 44.0 
 
 26.4 
 
 10.2 
 
 95.5 
 
 82.3 
 
 46 
 
 47 
 48 
 
 76.4 
 
 5i.8 
 
 28.3 
 
 o5.8 
 
 84.4 
 
 64.3 
 
 45.4 
 
 27.8 
 
 II. 6 
 
 96.9 
 
 83.7 
 
 47 
 
 77.6 
 
 53.1 
 
 29.5 
 
 07.1 
 
 85.7 
 
 65.6 
 
 46.7 
 
 29.2 
 
 i3.o 
 
 98.3 
 
 85.2 
 
 48 
 
 49 
 
 78.9 
 
 54.3 
 
 3o.8 
 
 08.4 
 
 87.1 
 
 66.9 
 
 48.1 
 
 3o.6 
 
 i4.4 
 
 99-7 
 
 86.6 
 
 49 
 
 5o 
 
 238o.i 
 
 2455.6 
 
 2532.1 
 
 2609.7 
 
 2688.4 
 
 2768.3 
 
 2849.5 
 
 2932.0 
 
 3oi5.8 
 
 3I0I.2 
 
 3i88.i 
 
 5o 
 5i 
 
 52 
 
 53 
 54 
 55 
 56 
 
 57 
 58 
 59 
 
 5i 
 
 81.4 
 
 56.9 
 
 33.4 
 
 II.O 
 
 89.7 
 
 69.6 
 
 5o.8 
 
 33.3 
 
 17.2 
 
 02.6 
 
 89.6 
 
 52 
 
 82.6 
 
 58.1 
 
 34.7 
 
 12.3 
 
 91.0 
 
 71.0 
 
 52.2 
 
 34.7 
 
 18.7 
 
 o4.i 
 
 91.0 
 
 r 
 
 53 
 
 83.9 
 
 59.4 
 
 36.0 
 
 i3.6 
 
 92.3 
 
 72.3 
 
 53.5 
 
 36.1 
 
 20.1 
 
 o5.6 
 
 92.5 
 
 / 
 
 54 
 
 85.1 
 
 60.7 
 
 37.2 
 
 14.9 
 
 93.7 
 
 73.7 
 
 54.9 
 
 37.5 
 
 21.5 
 
 07.0 
 
 94.0 
 95.4 
 
 55 
 
 86.4 
 
 61.9 
 
 38.5 
 
 16.2 
 
 95.0 
 
 75.0 
 
 56.3 
 
 38.9 
 
 22.9 
 
 08.4 
 
 56 
 
 87.6 
 
 63.2 
 
 39.8 
 
 17.5 
 
 96.3 
 
 76.3 
 
 57.7 
 
 40.3 
 
 24.3 
 
 09.8 
 
 96.9 
 
 98.4 
 99.8 
 
 
 
 57 
 
 88.5 
 
 64.5 
 
 4i.i 
 
 18.8 
 
 97.6 
 
 77-7 
 
 59.0 
 
 41.7 
 
 25.7 
 
 11.2 
 
 58 
 
 90.2 
 91./ 
 
 65.g 
 
 42.4 
 
 20.1 
 
 99.0 
 
 79.0 
 
 60.5 
 
 43.1 
 
 27.1 
 
 12.7 
 
 59 
 
 i 67.C 
 
 ) 43.6 
 
 21.^ 
 
 2700.3 
 
 80.4 
 
 61.7 
 
 44.4 
 
 28.5 
 
 i4.i 
 
 3201.3 
 
200 
 
 
 
 
 M 
 
 ERiDioNAL Parts. 
 
 
 
 
 
 LATITUDE. 
 
 Min. 
 
 47° 
 
 48° 
 
 49° 
 
 50° 
 
 51° 
 
 52° 
 
 53° 
 
 54° 
 
 55° 
 
 56° 
 
 57° 
 
 Min. 
 
 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 
 
 o5.7 
 
 94.5 
 
 85.1 
 
 77.6 
 
 72.0 
 
 68.4 
 
 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 
 
 81. 1 
 
 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 
 
 3300.5 
 
 91.3 
 
 83.8 
 
 78.4 
 
 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 
 
 95.5 
 
 7 
 
 8 
 
 i4.5 
 
 o3.5 
 
 94.3 
 
 87.0 
 
 81.5 
 
 78.2 
 
 77.1 
 
 78.3 
 
 82.0 
 
 88.2 
 
 97.3 
 
 8 
 
 9 
 
 i5.9 
 
 o5.o 
 
 95.8 
 
 88.5 
 
 83.1 
 
 79.8 
 
 78.7 
 
 80.0 
 
 83.7 
 
 90.0 
 
 99.2 
 
 9 
 
 10 
 
 3217.4 
 
 33o6.5 
 
 3397.4 
 
 3490.1 
 
 3584.7 
 
 3681.5 
 
 3780.4 
 
 3881.7 
 
 3985.4 
 
 4091.8 
 
 4201.0 
 
 10 
 
 II 
 
 18.9 
 
 08.0 
 
 98.9 
 
 91.6 
 
 86.3 
 
 83.1 
 
 82.1 
 
 83.4 
 
 87.2 
 
 93.6 
 
 02.9 
 
 II 
 
 12 
 
 20.3 
 
 09.5 
 
 3400.4 
 
 93.2 
 
 87.9 
 
 84.7 
 
 83.7 
 
 85.1 
 
 88.9 
 
 95.4 
 
 04.7 
 
 12 
 
 i3 
 
 21.8 
 
 II.O 
 
 02.0 
 
 94-7 
 
 89.5 
 
 86.4 
 
 85.4 
 
 86.8 
 
 90.7 
 
 97,2 
 
 06.6 
 
 i3 
 
 i4 
 
 23.3 
 
 12.5 
 
 o3.5 
 
 96.3 
 
 91. 1 
 
 88.0 
 
 87., 
 
 88.5 
 
 92.5 
 
 99.0 
 
 08.4 
 
 i4 
 
 i5 
 
 24.8 
 
 14.0 
 
 o5.o 
 
 97-9 
 
 92.7 
 
 89.6 
 
 88.8 
 
 90.2 
 
 94.2 
 
 4100.8 
 
 10.3 
 
 i5 
 
 i6 
 
 26.2 
 
 i5.5 
 
 06.6 
 
 99.4 
 
 94.3 
 
 91.3 
 
 90.4 
 
 92.0 
 
 96.0 
 
 02.6 
 
 12. 1 
 
 16 
 
 I? 
 
 27.7 
 
 17.0 
 
 08.1 
 
 35oi.o 
 
 95.9 
 
 92.9 
 
 92.1 
 
 93.7 
 
 97-7 
 
 o4.4 
 
 i4.o 
 
 17 
 
 i8 
 
 29.2 
 
 18.5 
 
 09.6 
 
 02.6 
 
 97.5 
 
 94.5 
 
 93.8 
 
 95-4 
 
 99.5 
 
 06.2 
 
 i5.8 
 
 18 
 
 19 
 
 3o.7 
 
 20.0 
 
 II. I 
 
 o4.i 
 
 99.1 
 
 96.2 
 
 95.5 
 
 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 
 
 l4.2 
 
 07.3 
 
 02.3 
 
 99.4 
 
 98.8 
 
 3900.5 
 
 04.7 
 
 11.6 
 
 21.4 
 
 21 
 
 22 
 
 35.1 
 
 24.5 
 
 i5.7 
 
 08.8 
 
 03.9 
 
 3701. 1 
 
 3800.5 
 
 02.2 
 
 06.5 
 
 i3.4 
 
 23.2 
 
 22 
 
 23 
 
 36.6 
 
 26.0 
 
 17.3 
 
 10.4 
 
 o5.5 
 
 02.7 
 
 02.2 
 
 04.0 
 
 08.3 
 
 l5.2 
 
 25.1 
 
 23 
 
 24 
 
 38.0 
 
 27.5 
 
 18.8 
 
 12.0 
 
 07.1 
 
 o4.4 
 
 o3.8 
 
 o5.7 
 
 10,0 
 
 17. 1 
 
 27.0 
 
 24 
 
 25 
 
 39.5 
 
 29.0 
 
 20.4 
 
 i3.5 
 
 08.7 
 
 06.0 
 
 o5.5 
 
 07.4 
 
 1 1.8 
 
 18.9 
 
 28.8 
 
 25 
 
 26 
 
 4i.o 
 
 3o.6 
 
 21.9 
 
 i5.i 
 
 10.3 
 
 07.6 
 
 07.2 
 
 09.1 
 
 i3.5 
 
 20.7 
 
 3o.6 
 
 26 
 
 27 
 
 42.5 
 
 32.1 
 
 23.5 
 
 16.7 
 
 1 1. 9 
 
 09.3 
 
 08.9 
 
 10.8 
 
 i5.3 
 
 22.5 
 
 32.5 
 
 27 
 
 28 
 
 44.0 
 
 33.6 
 
 25,0 
 
 18.3 
 
 i3.6 
 
 10.9 
 
 10.5 
 
 12.5 
 
 17. 1 
 
 24.3 
 
 34.4 
 
 28 
 
 29 
 
 45.4 
 
 35.1 
 
 26.5 
 
 19.8 
 
 i5.i 
 
 12.6 
 
 12.2 
 
 i4.3 
 
 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 
 
 3i 
 
 48.4 
 
 38.1 
 
 29.6 
 
 23.0 
 
 18.4 
 
 i5.8 
 
 i5.6 
 
 17-7 
 
 22.4 
 
 29.7 
 
 4o.o 
 
 3i 
 
 32 
 
 49.9 
 
 39.6 
 
 3i.i 
 
 24.6 
 
 20.0 
 
 17.5 
 
 17.3 
 
 19-4 
 
 24.1 
 
 3i.5 
 
 41.8 
 
 32 
 
 33 
 
 5i.4 
 
 4i.i 
 
 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 
 
 37.3 
 
 3o.8 
 
 26.4 
 
 24.1 
 
 24.0 
 
 26.3 
 
 3l.2 
 
 38.8 
 
 49.3 
 
 36 
 
 37 
 
 57.3 
 
 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 
 
 34.0 
 
 29.6 
 
 27.4 
 
 27.4 
 
 29.8 
 
 34.8 
 
 42.4 
 
 53.0 
 
 38 
 
 39 
 
 60.3 
 
 5o.2 
 
 41.9 
 
 35.6 
 
 3i.3 
 
 29.0 
 
 29.1 
 
 3i.5 
 
 36.5 
 
 44.2 
 
 54.9 
 
 39 
 
 4o 
 
 3261.7 
 
 335r.7 
 
 3443,5 
 
 3537.1 
 
 3632.8 
 
 3730.7 
 
 3830.8 
 
 3933.2 
 
 4o38.3 
 
 4i46.i 
 
 4256.7 
 
 4o 
 
 4i 
 
 63.2 
 
 53.2 
 
 45.0 
 
 38.7 
 
 34.4 
 
 32.3 
 
 32.4 
 
 35.0 
 
 4o.i 
 
 47.9 
 
 58.6 
 
 4i 
 
 42 
 
 64.7 
 
 54.7 
 
 46.6 
 
 4o.3 
 
 36.1 
 
 34.0 
 
 34.1 
 
 36.7 
 
 4i.8 
 
 49.7 
 
 60.5 
 
 42 
 
 43 
 
 66.2 
 
 56.2 
 
 48.1 
 
 41.9 
 
 37.7 
 
 35.6 
 
 35.8 
 
 38.4 
 
 43.6 
 
 5i.5 
 
 62.3 
 
 43 
 
 44 
 
 67.7 
 
 57.8 
 
 49.7 
 
 43.5 
 
 39.3 
 
 37.3 
 
 37.5 
 
 4o.2 
 
 45.4 
 
 53.4 
 
 64.2 
 
 44 
 
 45 
 
 69.2 
 
 59.3 
 
 5l.2 
 
 45.0 
 
 40.9 
 
 38.9 
 
 39.2 
 
 41.9 
 
 47.2 
 
 55.2 
 
 66.1 
 
 45 
 
 46 
 
 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 
 
 44.1 
 
 42.2 
 
 42.6 
 
 45.4 
 
 5o.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 
 
 49 
 
 75.1 
 
 65.4 
 
 57.4 
 
 5i.4 
 
 47.4 
 
 45.5 
 
 46.0 
 
 48.8 
 
 54.3 
 
 62.5 
 
 73.6 
 
 49 
 
 5o 
 
 3276.6 
 
 3366.9 
 
 3458.9 
 
 3553.0 
 
 3649-0 
 
 3747.2 
 
 3847-7 
 
 3950.6 
 
 4o56.i 
 
 4x64.3 
 
 4275.5 
 
 5o 
 
 5i 
 
 78.. 
 
 68.4 
 
 60.5 
 
 54,6 
 
 5o.6 
 
 48.8 
 
 49-4 
 
 52.3 
 
 57.8 
 
 66.1 
 
 77-4 
 
 5i 
 
 52 
 
 79.6 
 
 69.9 
 
 62.0 
 
 56,1 
 
 52.2 
 
 5o.5 
 
 5i.i 
 
 54.0 
 
 59.6 
 
 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 
 
 59.3 
 
 55.5 
 
 53.8 
 
 54.4 
 
 57.5 
 
 63.2 
 
 71.6 
 
 83.0 
 
 54 
 
 55 
 
 84.1 
 
 74.5 
 
 66.7 
 
 60,9 
 
 57.1 
 
 55.5 
 
 56.1 
 
 59.3 
 
 65.0 
 
 73.5 
 
 84.9 
 
 55 
 
 56 
 
 85.6 
 
 76.0 
 
 68.3 
 
 62.5 
 
 58.7 
 
 57.1 
 
 57.8 
 
 61.0 
 
 66.8 
 
 75.3 
 
 86.8 
 
 56 
 
 57 
 
 87.. 
 
 77.5 
 
 69.8 
 
 64.0 
 
 60.3 
 
 58.8 
 
 59.5 
 
 62.7 
 
 68.5 
 
 77.1 
 
 88.6 
 
 57 
 
 58 
 
 88.5 
 
 79.0 
 
 71.4 
 
 65.6 
 
 61.9 
 
 60.4 
 
 61.2 
 
 64.5 
 
 70.3 
 
 79.0 
 
 90.5 
 
 58 
 
 59 
 
 90.0 
 
 80.6 
 
 73.0 
 
 67.2 
 
 63.6 
 
 62.1 
 
 62.9 
 
 66.2 
 
 72.1 
 
 80.8 
 
 92.4 
 
 59 
 

 
 
 
 Meridional 
 
 Parts. 
 
 
 
 
 201 
 
 
 LATITUDE. 
 
 Min. 
 
 58° 
 
 59° 
 
 60° 
 
 61° 
 
 62° 
 
 63° 
 
 64° 
 
 65° 
 
 66° 
 
 67° 
 
 68° 
 
 Mln. 
 
 
 o 
 
 4294.3 
 
 4409.1 
 
 4527.4 
 
 4649.2 
 
 4775.0 
 
 4904.9 
 
 5039.4 
 
 5178.8 
 
 5323.5 
 
 5474.0 
 
 5630.8 
 
 I 
 
 96.2 
 
 II. I 
 
 29.4 
 
 5i.3 
 
 77.1 
 
 07.1 
 
 41.7 
 
 81.2 
 
 26.0 
 
 76.6 
 
 33.5 
 
 I 
 
 2 
 
 98.1 
 
 i3.o 
 
 3i.4 
 
 53.4 
 
 79.3 
 
 09.4 
 
 44.0 
 
 83.5 
 
 28.4 
 
 79.1 
 
 36.2 
 
 2 
 
 3 
 
 43oo.o 
 
 i5.o 
 
 33.4 
 
 55.4 
 
 81.4 
 
 1 1.6 
 
 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 
 
 o3.7 
 
 18.9 
 
 37.4 
 
 59.6 
 
 85.6 
 
 16.0 
 
 5o.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 
 
 6 
 
 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 
 
 92.1 
 
 22.6 
 
 57.7 
 
 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 
 
 10 
 
 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 
 
 5o.7 
 
 55o2.3 
 
 60.3 
 
 n 
 
 12 
 
 17.0 
 
 32.5 
 
 5i.4 
 
 74.1 
 
 4800.6 
 
 3i.5 
 
 66.9 
 
 07.3 
 
 53.1 
 
 04.9 
 
 63.0 
 
 12 
 
 i3 
 
 18.9 
 
 34.5 
 
 53.5 
 
 76.1 
 
 02.8 
 
 33.7 
 
 69.2 
 
 09.7 
 
 55.6 
 
 07.4 
 
 65.7 
 
 i3 
 
 i4 
 
 20.8 
 
 36.4 
 
 55.5 
 
 78.2 
 
 04.9 
 
 35.9 
 
 71.5 
 
 12. 1 
 
 58.1 
 
 10. 
 
 68.4 
 
 i4 
 
 i5 
 
 22.7 
 
 38.4 
 
 57.5 
 
 80.3 
 
 07.1 
 
 38.1 
 
 73.8 
 
 i4.5 
 
 60.6 
 
 12.6 
 
 71. 1 
 
 i5 
 
 i6 
 
 24.6 
 
 4o.3 
 
 59.5 
 
 82.4 
 
 09.2 
 
 40.3 
 
 76.1 
 
 16.9 
 
 63.1 
 
 l5.2 
 
 73.8 
 
 16 
 
 I? 
 
 26.5 
 
 42.3 
 
 61.5 
 
 84.5 
 
 11.4 
 
 42.6 
 
 78.4 
 
 19.3 
 
 65.6 
 
 17.8 
 
 76.5 
 
 17 
 
 i8 
 
 28.4 
 
 44.2 
 
 63.5 
 
 86.5 
 
 i3.5 
 
 44.8 
 
 80.7 
 
 21.6 
 
 68.0 
 
 20.4 
 
 79.2 
 
 18 
 
 19 
 
 3o.3 
 
 46.2 
 
 65.6 
 
 88.6 
 
 i5.7 
 
 47.0 
 
 83.0 
 
 24.0 
 
 70.5 
 
 23. 
 
 81.9 
 
 19 
 
 20 
 
 4332.2 
 
 4448.2 
 
 4567.6 
 
 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 
 
 75.5 
 
 28.1 
 
 87.3 
 
 21 
 
 22 
 
 36.0 
 
 52.1 
 
 71.6 
 
 94.9 
 
 22.1 
 
 53.7 
 
 90.0 
 
 3l.2 
 
 78.0 
 
 30.7 
 
 90.0 
 
 22 
 
 23 
 
 37.9 
 
 54.1 
 
 73.6 
 
 97.0 
 
 24.3 
 
 55.9 
 
 92.3 
 
 33.6 
 
 80.5 
 
 33.3 
 
 92.7 
 
 23 
 
 24 
 
 39.8 
 
 56.0 
 
 75.7 
 
 99.1 
 
 26.4 
 
 58.2 
 
 94.6 
 
 36.0 
 
 83.0 
 
 35.9 
 
 95.5 
 
 24 
 
 25 
 
 4i.8 
 
 58.0 
 
 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 
 
 40.8 
 
 88.0 
 
 4l.2 
 
 5700.9 
 
 26 
 
 27 
 
 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 
 
 35.1 
 
 67.1 
 
 o3.8 
 
 45.7 
 
 93.0 
 
 46.4 
 
 06.3 
 
 28 
 
 29 
 
 49.4 
 
 65.9 
 
 85.8 
 
 09.5 
 
 37.3 
 
 69.4 
 
 06.2 
 
 48.1 
 
 95.5 
 
 49.0 
 
 09.1 
 
 29 
 
 3o 
 
 4351.3 
 
 4467.8 
 
 4587.8 
 
 4711.6 
 
 4839.4 
 
 4971.6 
 
 5io8.5 
 
 5250.5 
 
 5398.0 
 
 5551.6 
 
 5711.8 
 
 3o 
 
 3i 
 
 53.2 
 
 69.8 
 
 89.9 
 
 i3.7 
 
 4i.6 
 
 73.8 
 
 10.8 
 
 52.9 
 
 5400.5 
 
 54.2 
 
 i4.5 
 
 3i 
 
 32 
 
 55.1 
 
 71.8 
 
 91.9 
 
 i5.8 
 
 43.8 
 
 76.1 
 
 i3.i 
 
 55.3 
 
 o3.o 
 
 56.8 
 
 17.3 
 
 32 
 
 33 
 
 57.1 
 
 73.7 
 
 93.9 
 
 17.9 
 
 45.9 
 
 78.3 
 
 i5.5 
 
 57.7 
 
 o5.5 
 
 59.4 
 
 20.0 
 
 33 
 
 34 
 
 59.0 
 
 75.7 
 
 96.0 
 
 20.0 
 
 48.1 
 
 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 
 
 85.1 
 
 22.4 
 
 65.0 
 
 i3.i 
 
 67.3 
 
 28.2 
 
 36 
 
 37 
 
 64.7 
 
 81.6 
 
 02.1 
 
 26.3 
 
 54.6 
 
 87.3 
 
 24.8 
 
 67.4 
 
 i5.6 
 
 69.9 
 
 3o.9 
 
 37 
 
 38 
 
 66.7 
 
 83.6 
 
 o4.i 
 
 28.4 
 
 56.8 
 
 89.6 
 
 27.1 
 
 69.8 
 
 18.1 
 
 72.6 
 
 33.7 
 
 38 
 
 39 
 
 68.6 
 
 85.6 
 
 06.1 
 
 3o.5 
 
 59.0 
 
 91.8 
 
 29.4 
 
 72.2 
 
 20.6 
 
 75.2 
 
 36.4 
 
 39 
 
 4o 
 
 4370.5 
 
 4487.6 
 
 4608.2 
 
 4732.6 
 
 4861.1 
 
 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 
 
 34.1 
 
 77.1 
 
 25.7 
 
 80.4 
 
 41.9 
 
 4i 
 
 42 
 
 74.3 
 
 91.5 
 
 12.3 
 
 36.8 
 
 65.5 
 
 98.6 
 
 36.5 
 
 79.5 
 
 28.2 
 
 83.1 
 
 44.7 
 
 42 
 
 43 
 
 76.3 
 
 93.5 
 
 i4.3 
 
 39.0 
 
 67.7 
 
 5ooo.8 
 
 38.8 
 
 82.0 
 
 3o.8 
 
 85.7 
 
 47.5 
 
 43 
 
 44 
 
 78.2 
 
 95.5 
 
 16.4 
 
 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 
 
 74.2 
 
 07.6 
 
 45.8 
 
 89.3 
 
 38.4 
 
 93.6 
 
 55.7 
 
 46 
 
 47 
 
 84.0 
 
 45oi.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 
 
 49-5 
 
 78.6 
 
 12.2 
 
 5o.5 
 
 94.1 
 
 43.4 
 
 98.9 
 
 61.2 
 
 48 
 
 49 
 
 87.8 
 
 o5.4 
 
 26.6 
 
 5i.6 
 
 80.8 
 
 i4.4 
 
 52.9 
 
 96.6 
 
 46.0 
 
 5601.6 
 
 64.0 
 
 49 
 
 5o 
 
 4389.8 
 
 4507.4 
 
 4628.7 
 
 4753.7 
 
 4883.0 
 
 5016.7 
 
 5i55.2 
 
 5299.0 
 
 5448.5 
 
 56o4.2 
 
 5766.8 
 
 5o 
 
 5i 
 
 91.7 
 
 09.4 
 
 3o.7 
 
 55.9 
 
 85.2 
 
 18.9 
 
 57.6 
 
 530I.5 
 
 5i.o 
 
 06.9 
 
 69.5 
 
 5i 
 
 52 
 
 93.6 
 
 11.4 
 
 32.8 
 
 58.0 
 
 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 
 
 23.5 
 
 62.3 
 
 06.3 
 
 56.1 
 
 12.2 
 
 75.1 
 
 53 
 
 54 
 
 97.5 
 
 i5.4 
 
 36.9 
 
 62.2 
 
 91.7 
 
 25.8 
 
 64.6 
 
 08.8 
 
 58.7 
 
 14.8 
 
 77-9 
 
 54 
 
 55 
 
 99-4 
 
 17-4 
 
 39.0 
 
 64.4 
 
 93.9 
 
 28.0 
 
 67.0 
 
 II. 2 
 
 61.2 
 
 17.5 
 
 80.6 
 
 55 
 
 56 
 
 4401.4 
 
 19.4 
 
 4i.o 
 
 66.5 
 
 96.1 
 
 3o.3 
 
 69.4 
 
 i3.7 
 
 63.8 
 
 20.2 
 
 83.4 
 
 56 
 
 57 
 
 o3.3 
 
 21.4 
 
 43.0 
 
 68.6 
 
 98.3 
 
 32.6 
 
 71.7 
 
 16.1 
 
 66.3 
 
 22.9 
 
 86.2 
 
 57 
 
 58 
 
 o5.3 
 
 23.4 
 
 45.1 
 
 70.7 
 
 4900.5 
 
 34.9 
 
 74.1 
 
 18.6 
 
 68.9 
 
 25.5 
 
 89.0 
 
 58 
 
 59 
 
 07.2 
 
 25.4 
 
 47.2 
 
 72.9 
 
 02.7 
 
 37.1 
 
 76.4 
 
 21. 1 
 
 71.4 
 
 28.2 
 
 91.8 
 
 59 
 
202 
 
 
 
 
 Meridional 
 
 Parts. 
 
 
 
 
 
 LATITUDE. 
 
 Min. 
 
 69° 
 
 70° 
 
 71° 
 
 72° 
 
 73° 
 
 74° 
 
 75° 
 
 76° 
 
 77° 
 
 78° 
 
 79° 
 
 Min. 
 
 o 
 
 5794.6 
 
 5965.9 
 
 6145.7 
 
 6334.8 
 
 6534.4 
 
 6745.7 
 
 6970.3 
 
 7210. 1 
 
 7467.2 
 
 7744.6 
 
 8045.7 
 
 
 
 I 
 
 97.4 
 
 68.8 
 
 48.8 
 
 38.1 
 
 37.8 
 
 49-4 
 
 74.2 
 
 14.2 
 
 71.7 
 
 49.4 
 
 5i.o 
 
 I 
 
 2 
 
 5800.1 
 
 71.8 
 
 51.9 
 
 4i.3 
 
 4i.3 
 
 53.0 
 
 78.1 
 
 18.3 
 
 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 
 
 59.0 
 
 61.5 
 
 3 
 
 4 
 
 o5.7 
 
 77.6 
 
 58.0 
 
 47-8 
 
 48.1 
 
 60.3 
 
 85.8 
 
 26.6 
 
 85.0 
 
 63.9 
 
 66.7 
 
 4 
 
 5 
 
 08.5 
 
 80.6 
 
 61. 1 
 
 5i.i 
 
 5i.6 
 
 63.9 
 
 89.7 
 
 3o.8 
 
 89.5 
 
 68.7 
 
 72.0 
 
 5 
 
 6 
 
 II.3 
 
 83.5 
 
 64.2 
 
 54.3 
 
 55.0 
 
 67.6 
 
 93.6 
 
 35.0 
 
 94.0 
 
 73.5 
 
 77.3 
 
 6 
 
 7 
 
 l4.2 
 
 86.4 
 
 67.3 
 
 57.6 
 
 58.5 
 
 71.2 
 
 97.5 
 
 39.1 
 
 98.5 
 
 78.4 
 
 82.6 
 
 7 
 
 8 
 
 17.0 
 
 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 
 
 73.5 
 
 64.1 
 
 65.3 
 
 78.5 
 
 o5.3 
 
 47.5 
 
 07.4 
 
 88.1 
 
 93.2 
 
 9 
 
 10 
 
 5822.6 
 
 5995.3 
 
 6176.6 
 
 6367.4 
 
 6568.8 
 
 6782.2 
 
 7009.2 
 
 7251.7 
 
 7511.9 
 
 7793.0 
 
 8098.5 
 
 10 
 
 1 1 
 
 25.4 
 
 98.2 
 
 79-7 
 
 70.6 
 
 72.3 
 
 85.9 
 
 i3.i 
 
 55.8 
 
 16.5 
 
 97-9 
 
 8io3.8 
 
 II 
 
 12 
 
 28.2 
 
 6001.2 
 
 82.8 
 
 73.9 
 
 75.7 
 
 89.6 
 
 17.0 
 
 60.0 
 
 21.0 
 
 7802.8 
 
 09.2 
 
 12 
 
 i3 
 
 3i.o 
 
 o4.i 
 
 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 
 
 96.9 
 
 24.8 
 
 68.4 
 
 3o.o 
 
 12.6 
 
 19.9 
 
 i4 
 
 i5 
 
 36.7 
 
 10. 
 
 92.1 
 
 83.7 
 
 86.1 
 
 6800.6 
 
 28.8 
 
 72.6 
 
 34.5 
 
 17.5 
 
 25.2 
 
 i5 
 
 i6 
 
 39.5 
 
 i3.o 
 
 g5.2 
 
 87.0 
 
 89.6 
 
 o4.3 
 
 32.7 
 
 76.8 
 
 39.1 
 
 22.4 
 
 3o.6 
 
 16 
 
 I? 
 
 42.3 
 
 16.0 
 
 98.3 
 
 90.3 
 
 93.0 
 
 08.0 
 
 36.6 
 
 81. 1 
 
 43.6 
 
 27.3 
 
 36.0 
 
 17 
 
 i8 
 
 45.1 
 
 18.9 
 
 6201.4 
 
 93.6 
 
 96.5 
 
 II. 6 
 
 40.6 
 
 85.3 
 
 48.1 
 
 32.2 
 
 4 1. 3 
 
 18 
 
 19 
 
 48.0 
 
 21.9 
 
 o4.5 
 
 96.9 
 
 6600.0 
 
 i5.4 
 
 44.5 
 
 89.5 
 
 52.7 
 
 37.2 
 
 46.7 
 
 19 
 
 20 
 
 5850.8 
 
 6024.9 
 
 6207.7 
 
 64oo.2 
 
 66o3.5 
 
 6819. 1 
 
 7048.5 
 
 7293.7 
 
 7557.3 
 
 7842.1 
 
 8i52.i 
 
 20 
 
 21 
 
 53.6 
 
 27.8 
 
 10.8 
 
 o3.4 
 
 07.0 
 
 22.8 
 
 52.4 
 
 98.0 
 
 61.8 
 
 47-1 
 
 57.5 
 
 21 
 
 22 
 
 56.5 
 
 3o.8 
 
 i3.9 
 
 06.7 
 
 10.5 
 
 26.5 
 
 56.4 
 
 7302.2 
 
 66.4 
 
 52. 
 
 62.9 
 
 22 
 
 23 
 
 59.3 
 
 33.8 
 
 17.0 
 
 10. 1 
 
 i4.o 
 
 30.2 
 
 60.3 
 
 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 
 
 75.5 
 
 61.9 
 
 73.8 
 
 24 
 
 25 
 
 65.0 
 
 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 
 
 45.1 
 
 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 
 
 95.6 
 
 28 
 
 29 
 
 76.4 
 
 51.7 
 
 35.9 
 
 29.9 
 
 35.0 
 
 52.5 
 
 84.2 
 
 32.0 
 
 98.5 
 
 86.9 
 
 8201. 1 
 
 29 
 
 3o 
 
 5879.2 
 
 6054.7 
 
 6239.0 
 
 6433.3 
 
 6638.5 
 
 6856.3 
 
 7088.2 
 
 7336.3 
 
 7603.2 
 
 7891.8 
 
 8206.6 
 
 3o 
 
 3i 
 
 82.1 
 
 57.7 
 
 42.2 
 
 36.6 
 
 42.1 
 
 60.0 
 
 92.2 
 
 4o.6 
 
 07.8 
 
 96.9 
 
 12. 1 
 
 3i 
 
 32 
 
 85.0 
 
 60.7 
 
 45.3 
 
 39.9 
 
 45.6 
 
 63.8 
 
 96.2 
 
 44.9 
 
 12.4 
 
 7902.0 
 
 17.6 
 
 32 
 
 33 
 
 87.8 
 
 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 
 
 51.7 
 
 46.6 
 
 52.6 
 
 71.3 
 
 o4.2 
 
 53.5 
 
 21.7 
 
 12.0 
 
 28.6 
 
 34 
 
 35 
 
 93.6 
 
 69.7 
 
 54.8 
 
 49.9 
 
 56.2 
 
 75.0 
 
 08.2 
 
 57.8 
 
 26.3 
 
 17.1 
 
 34.1 
 
 35 
 
 36 
 
 96.4 
 
 72.7 
 
 58.0 
 
 53.3 
 
 59.7 
 
 78.8 
 
 12.2 
 
 62.1 
 
 3i.o 
 
 22.1 
 
 39.7 
 
 36 
 
 37 
 
 99.3 
 
 75.7 
 
 61.2 
 
 56.6 
 
 63.3 
 
 82.6 
 
 16.3 
 
 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 
 
 39 
 
 o5.o 
 
 81.8 
 
 67.5 
 
 63.3 
 
 70.4 
 
 90.1 
 
 24.3 
 
 75.1 
 
 45.0 
 
 37.3 
 
 56.3 
 
 39 
 
 4o 
 
 5907.9 
 
 6084.8 
 
 6270.7 
 
 6466.7 
 
 6673.9 
 
 6893.9 
 
 7128.4 
 
 7379.4 
 
 7649.7 
 
 7942.4 
 
 8261.9 
 
 4o 
 
 4i 
 
 10.8 
 
 87.8 
 
 73.9 
 
 70.0 
 
 77-4 
 
 97-7 
 
 32.4 
 
 83.7 
 
 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 
 
 73.1 
 
 42 
 
 43 
 
 16.6 
 
 93.9 
 
 80.2 
 
 76.7 
 
 84.6 
 
 o5.3 
 
 4o.5 
 
 92.4 
 
 63.7 
 
 57.7 
 
 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 
 
 89.9 
 
 45 
 
 46 
 
 25.2 
 
 6io3.o 
 
 89.8 
 
 86.9 
 
 95.3 
 
 16.7 
 
 52.7 
 
 o5.5 
 
 77-9 
 
 73.1 
 
 95.5 
 
 46 
 
 47 
 
 28.1 
 
 06.0 
 
 93.0 
 
 90.2 
 
 98.9 
 
 20.5 
 
 56.7 
 
 09.9 
 
 82.6 
 
 78.2 
 
 830I.I 
 
 47 
 
 48 
 
 3i.o 
 
 09.0 
 
 96.2 
 
 93.6 
 
 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 
 
 5936.8 
 
 6ii5.i 
 
 63o2.6 
 
 65oo.4 
 
 6709.7 
 
 6931.9 
 
 7169.0 
 
 7423.0 
 
 7696.8 
 
 7993.7 
 
 83i8.i 
 
 5o 
 
 5i 
 
 39.7 
 
 18.2 
 
 o5.8 
 
 o3.8 
 
 l3.2 
 
 35.7 
 
 73.1 
 
 27.4 
 
 7701.5 
 
 98.9 
 
 23.8 
 
 5i 
 
 52 
 
 42.6 
 
 21.2 
 
 09.1 
 
 07.2 
 
 16.8 
 
 39.6 
 
 77.2 
 
 3i.8 
 
 06.3 
 
 8004.0 
 
 29.4 
 
 52 
 
 53 
 
 45.5 
 
 24.3 
 
 12.3 
 
 10.6 
 
 20.4 
 
 43.4 
 
 81.2 
 
 36.2 
 
 II. I 
 
 09.2 
 
 35.1 
 
 53 
 
 54 
 
 48.4 
 
 27.3 
 
 i5.5 
 
 i4.o 
 
 24.0 
 
 47.2 
 
 85.3 
 
 4o.6 
 
 i5.8 
 
 i4.4 
 
 4o.8 
 
 54 
 
 55 
 
 5i.3 
 
 3o.4 
 
 18.7 
 
 17.4 
 
 27.7 
 
 5i.i 
 
 89.5 
 
 45.1 
 
 20.6 
 
 19.6 
 
 46.5 
 
 55 
 
 56 
 
 54.2 
 
 33.4 
 
 21.9 
 
 20.8 
 
 3i.3 
 
 54.9 
 
 93.6 
 
 49.5 
 
 25.4 
 
 24.8 
 
 52.2 
 
 56 
 
 57 
 
 57.2 
 
 36.5 
 
 25.1 
 
 24.2 
 
 34.9 
 
 58.8 
 
 97-7 
 
 53.9 
 
 3o.2 
 
 3o.o 
 
 58.0 
 
 57 
 
 58 
 
 60.1 
 
 39.6 
 
 28.4 
 
 27.6 
 
 38.5 
 
 62.6 
 
 7201.8 
 
 58.3 
 
 35.0 
 
 35.2 
 
 63.7 
 
 58 
 
 59 
 
 63.0 
 
 42.6 
 
 3i.6 
 
 3i.o 
 
 42.1 
 
 66.5 
 
 o5.9 
 
 62.8 
 
 39.8 
 
 4o.5 
 
 69.4 
 
 59 
 

 
 
 
 Corrections 
 
 TO 
 
 M 
 
 IDDLE L 
 
 ATITUDE 
 
 • 
 
 
 
 203 
 
 Mid. 
 Lat. 
 
 
 DIFFERENCE OF LATITUDE. 
 
 
 20° 
 
 Mid. 
 Lat 
 
 1° 
 
 2° 
 
 3° 
 
 4° 
 
 5° 
 
 6° 
 
 r 
 
 8° 
 
 9° 
 
 10° 
 
 11° 
 
 12° 
 
 13° 
 
 14° 
 
 15° 
 
 16° 
 
 17° 
 
 18° 
 
 19° 
 
 
 
 / 
 
 
 / 
 
 / 
 
 / 
 
 / / 
 
 / 
 
 / 
 
 / 
 
 / 
 
 / 
 
 / 
 
 / 
 
 / 
 
 / 
 
 / 
 
 / 
 
 1 
 
 / 
 
 
 
 i5 
 
 
 
 
 2 
 
 3 
 
 5 
 
 7 9 
 
 12 
 
 i5 
 
 18 
 
 22 
 
 26 
 
 3i 
 
 36 
 
 4i 
 
 47 
 
 52 
 
 59 
 
 65 
 
 72 
 
 i5 
 
 16 
 
 
 
 
 2 
 
 3 
 
 4 
 
 6 
 
 9 
 
 II 
 
 i4 
 
 18 
 
 21 
 
 25 
 
 3o 
 
 34 
 
 39 
 
 44 
 
 5o 
 
 5G 
 
 62 
 
 69 
 
 16 
 
 17 
 
 
 
 
 2 
 
 3 
 
 4 
 
 6 
 
 8 
 
 II 
 
 i4 
 
 17 
 
 20 
 
 24 
 
 28 
 
 33 
 
 38 
 
 43 
 
 48 
 
 54 
 
 60 
 
 66 
 
 '7 
 
 18 
 
 
 
 
 
 3 
 
 4 
 
 6 
 
 8 
 
 10 
 
 i3 
 
 16 
 
 20 
 
 23 
 
 27 
 
 32 
 
 36 
 
 4i 
 
 46 
 
 52 
 
 58 
 
 64 
 
 18 
 
 19 
 
 
 
 
 
 3 
 
 4 
 
 6 
 
 8 
 
 10 
 
 i3 
 
 16 
 
 19 
 
 22 
 
 26 
 
 3o 
 
 35 
 
 4o 
 
 45 
 
 5o 
 
 56 
 
 61 
 
 '9 
 
 20 
 
 
 
 
 
 2 
 
 4 
 
 5 
 
 7 
 
 10 
 
 12 
 
 i5 
 
 18 
 
 22 
 
 25 
 
 29 
 
 34 
 
 38 
 
 43 
 
 48 
 
 54 
 
 60 
 
 20 
 
 21 
 
 
 
 
 
 2 
 
 4 
 
 5 
 
 7 
 
 9 
 
 12 
 
 i5 
 
 18 
 
 21 
 
 25 
 
 29 
 
 33 
 
 37 
 
 42 
 
 47 
 
 52 
 
 58 
 
 21 
 
 22 
 
 
 
 
 
 2 
 
 4 
 
 5 
 
 7 
 
 9 
 
 12 
 
 i4 
 
 17 
 
 21 
 
 24 
 
 28 
 
 32 
 
 36 
 
 4i 
 
 46 
 
 5i 
 
 56 
 
 22 
 
 23 
 
 
 
 
 
 2 
 
 3 
 
 5 
 
 7 
 
 9 
 
 II 
 
 i4 
 
 17 
 
 20 
 
 23 
 
 27 
 
 3i 
 
 35 
 
 4o 
 
 45 
 
 5o 
 
 55 
 
 23 
 
 24 
 
 
 
 
 
 2 
 
 3 
 
 5 
 
 7 
 
 9 
 
 II 
 
 i4 
 
 16 
 
 20 
 
 23 
 
 27 
 
 3i 
 
 35 
 
 39 
 
 44 
 
 49 
 
 54 
 
 24 
 
 25 
 
 
 
 
 
 2 
 
 3 
 
 5 
 
 7 
 
 9 
 
 II 
 
 i3 
 
 16 
 
 19 
 
 23 
 
 26 
 
 3o 
 
 34 
 
 39 
 
 43 
 
 48 
 
 53 
 
 25 
 
 26 
 
 
 
 
 
 2 
 
 3 
 
 5 
 
 6 
 
 8 
 
 II 
 
 i3 
 
 16 
 
 19 
 
 22 
 
 26 
 
 3o 
 
 34 
 
 38 
 
 42 
 
 47 
 
 52 
 
 26 
 
 27 
 
 
 
 
 
 2 
 
 3 
 
 5 
 
 6 
 
 8 
 
 II 
 
 i3 
 
 16 
 
 19 
 
 22 
 
 25 
 
 29 
 
 33 
 
 37 
 
 42 
 
 47 
 
 52 
 
 27 
 
 28 
 
 
 
 
 
 2 
 
 3 
 
 5 
 
 6 
 
 8 
 
 10 
 
 i3 
 
 16 
 
 18 
 
 22 
 
 25 
 
 29 
 
 33 
 
 37 
 
 4i 
 
 46 
 
 5i 
 
 28 
 
 29 
 
 
 
 
 
 2 
 
 3 
 
 5 
 
 6 
 
 8 
 
 10 
 
 i3 
 
 i5 
 
 18 
 
 21 
 
 25 
 
 28 
 
 32 
 
 37 
 
 4i 
 
 46 
 
 5i 
 
 29 
 
 3o 
 
 
 
 
 
 2 
 
 3 
 
 5 
 
 6 
 
 8 
 
 10 
 
 i3 
 
 i5 
 
 18 
 
 21 
 
 25 
 
 28 
 
 32 
 
 36 
 
 4i 
 
 45 
 
 5o 
 
 3o 
 
 3i 
 
 
 
 
 
 2 
 
 3 
 
 5 
 
 6 
 
 8 
 
 10 
 
 12 
 
 i5 
 
 18 
 
 21 
 
 24 
 
 28 
 
 32 
 
 36 
 
 4o 
 
 45 
 
 5o 
 
 3i 
 
 32 
 
 
 
 
 
 2 
 
 3 
 
 4 
 
 6 
 
 8 
 
 10 
 
 12 
 
 i5 
 
 18 
 
 21 
 
 24 
 
 28 
 
 32 
 
 36 
 
 4o 
 
 45 
 
 5o 
 
 32 
 
 33 
 
 
 
 
 
 2 
 
 3 
 
 4 
 
 6 
 
 8 
 
 10 
 
 12 
 
 16 
 
 18 
 
 21 
 
 24 
 
 28 
 
 32 
 
 36 
 
 4o 
 
 45 
 
 49 
 
 33 
 
 34 
 
 
 
 
 
 2 
 
 3 
 
 4 
 
 6 
 
 8 
 
 10 
 
 12 
 
 i5 
 
 18 
 
 21 
 
 24 
 
 28 
 
 32 
 
 36 
 
 40 
 
 45 
 
 49 
 
 34 
 
 35 
 
 
 
 
 
 2 
 
 3 
 
 4 
 
 6 
 
 8 
 
 10 
 
 12 
 
 i5 
 
 18 
 
 21 
 
 24 
 
 28 
 
 32 
 
 36 
 
 4o 
 
 45 
 
 49 
 
 35 
 
 36 
 
 
 
 
 
 2 
 
 3 
 
 4 
 
 6 
 
 8 
 
 10 
 
 12 
 
 i5 
 
 18 
 
 21 
 
 24 
 
 28 
 
 32 
 
 36 
 
 40 
 
 45 
 
 49 
 
 36 
 
 37 
 
 
 
 
 
 2 
 
 3 
 
 4 
 
 6 
 
 8 
 
 10 
 
 12 
 
 i5 
 
 18 
 
 21 
 
 24 
 
 28 
 
 32 
 
 36 
 
 40 
 
 45 
 
 49 
 
 37 
 
 38 
 
 
 
 
 
 2 
 
 3 
 
 4 
 
 6 
 
 8 
 
 10 
 
 12 
 
 i5 
 
 18 
 
 21 
 
 24 
 
 28 
 
 32 
 
 36 
 
 4o 
 
 45 
 
 5o 
 
 38 
 
 39 
 
 
 
 
 
 2 
 
 3 
 
 4 
 
 6 
 
 8 
 
 10 
 
 12 
 
 i5 
 
 18 
 
 21 
 
 24 
 
 28 
 
 32 
 
 36 
 
 4o 
 
 45 
 
 5o 
 
 39 
 
 4o 
 
 
 
 
 
 2 
 
 3 
 
 5 
 
 6 
 
 8 
 
 10 
 
 i3 
 
 i5 
 
 18 
 
 21 
 
 25 
 
 28 
 
 32 
 
 36 
 
 4i 
 
 45 
 
 5o 
 
 4o 
 
 4i 
 
 
 
 
 
 2 
 
 3 
 
 5 
 
 6 
 
 8 
 
 10 
 
 i3 
 
 i5 
 
 18 
 
 21 
 
 25 
 
 28 
 
 32 
 
 37 
 
 4i 
 
 46 
 
 5i 
 
 4i 
 
 42 
 
 
 
 
 
 2 
 
 3 
 
 5 
 
 6 
 
 8 
 
 10 
 
 i3 
 
 i5 
 
 18 
 
 22 
 
 25 
 
 29 
 
 33 
 
 37 
 
 4i 
 
 46 
 
 5i 
 
 42 
 
 43 
 
 
 
 
 
 2 
 
 3 
 
 5 
 
 6 
 
 8 
 
 10 
 
 i3 
 
 16 
 
 18 
 
 22 
 
 25 
 
 29 
 
 33 
 
 37 
 
 42 
 
 46 
 
 52 
 
 43 
 
 44 
 
 
 
 
 
 2 
 
 3 
 
 5 
 
 6 
 
 8 
 
 10 
 
 i3 
 
 16 
 
 19 
 
 22 
 
 25 
 
 29 
 
 33 
 
 38 
 
 42 
 
 47 
 
 52 
 
 44 
 
 45 
 
 
 
 
 
 2 
 
 3 
 
 5 
 
 6 
 
 8 
 
 II 
 
 i3 
 
 16 
 
 19 
 
 22 
 
 26 
 
 3o 
 
 34 
 
 38 
 
 43 
 
 48 
 
 53 
 
 45 
 
 46 
 
 
 
 
 
 2 
 
 3 
 
 5 
 
 6 
 
 8 
 
 II 
 
 i3 
 
 16 
 
 '9 
 
 22 
 
 26 
 
 3o 
 
 34 
 
 38 
 
 43 
 
 48 
 
 53 
 
 46 
 
 47 
 
 
 
 
 
 2 
 
 3 
 
 5 
 
 7 
 
 9 
 
 II 
 
 i3 
 
 16 
 
 19 
 
 23 
 
 26 
 
 3o 
 
 35 
 
 39 
 
 44 
 
 49 
 
 54 
 
 47 
 
 48 
 
 
 
 
 
 2 
 
 3 
 
 5 
 
 7 
 
 9 
 
 II 
 
 i4 
 
 17 
 
 20 
 
 23 
 
 27 
 
 3i 
 
 35 
 
 4o 
 
 44 
 
 5o 
 
 55 
 
 48 
 
 49 
 
 
 
 
 
 2 
 
 3 
 
 5 
 
 7 
 
 9 
 
 1 1 
 
 i4 
 
 17 
 
 20 
 
 23 
 
 27 
 
 3i 
 
 36 
 
 4o 
 
 45 
 
 5o 
 
 56 
 
 49 
 
 5o 
 
 
 
 
 
 2 
 
 4 
 
 5 
 
 7 
 
 9 
 
 II 
 
 i4 
 
 17 
 
 20 
 
 24 
 
 28 
 
 32 
 
 36 
 
 4i 
 
 46 
 
 5i 
 
 57 
 
 5o 
 
 5i 
 
 
 
 
 
 2 
 
 4 
 
 5 
 
 7 
 
 9 
 
 12 
 
 i4 
 
 17 
 
 21 
 
 24 
 
 28 
 
 32 
 
 37 
 
 42 
 
 47 
 
 52 
 
 58 
 
 5i 
 
 52 
 
 
 
 
 
 2 
 
 4 
 
 5 
 
 7 
 
 9 
 
 12 
 
 i5 
 
 18 
 
 21 
 
 25 
 
 29 
 
 33 
 
 38 
 
 43 
 
 48 
 
 53 
 
 59 
 
 52 
 
 53 
 
 
 
 
 
 2 
 
 4 
 
 5 
 
 7 
 
 10 
 
 12 
 
 i5 
 
 18 
 
 21 
 
 25 
 
 29 
 
 34 
 
 38 
 
 43 
 
 49 
 
 54 
 
 60 
 
 53 
 
 54 
 
 
 
 
 
 2 
 
 4 
 
 5 
 
 7 
 
 10 
 
 12 
 
 i5 
 
 18 
 
 22 
 
 26 
 
 3o 
 
 34 
 
 39 
 
 44 
 
 5o 
 
 56 
 
 62 
 
 54 
 
 55 
 
 
 
 
 
 2 
 
 4 
 
 6 
 
 8 
 
 10 
 
 i3 
 
 16 
 
 19 
 
 22 
 
 26 
 
 3i 
 
 35 
 
 4o 
 
 45 
 
 5i 
 
 57 
 
 63 
 
 55 
 
 56 
 
 
 
 
 
 3 
 
 4 
 
 6 
 
 8 
 
 10 
 
 i3 
 
 16 
 
 19 
 
 23 
 
 27 
 
 3i 
 
 36 
 
 4i 
 
 46 
 
 52 
 
 58 
 
 65 
 
 56 
 
 57 
 
 
 
 
 
 3 
 
 4 
 
 6 
 
 8 
 
 10 
 
 i3 
 
 16 
 
 20 
 
 24 
 
 28 
 
 32 
 
 37 
 
 42 
 
 48 
 
 54 
 
 60 
 
 66 
 
 57 
 
 58 , 
 
 
 
 
 2 
 
 3 
 
 4 
 
 6 
 
 8 
 
 II 
 
 i4 
 
 17 
 
 20 
 
 24 
 
 28 
 
 33 
 
 38 
 
 43 
 
 49 
 
 55 
 
 61 
 
 68 
 
 58 
 
 59 
 
 
 
 
 2 
 
 3 
 
 4 
 
 6 
 
 8 
 
 II 
 
 i4 
 
 17 
 
 21 
 
 25 
 
 29 
 
 34 
 
 39 
 
 45 
 
 5o 
 
 57 
 
 63 
 
 70 
 
 59 
 
 60 
 
 
 
 
 2 
 
 3 
 
 4 
 
 6 
 
 9 
 
 II 
 
 i4 
 
 18 
 
 22 
 
 26 
 
 3o 
 
 35 
 
 4o 
 
 46 
 
 52 
 
 58 
 
 65 
 
 72 
 
 60 
 
 61 
 
 
 
 
 2 
 
 3 
 
 5 
 
 7 
 
 9 
 
 12 
 
 i5 
 
 18 
 
 22 
 
 26 
 
 3i 
 
 36 
 
 42 
 
 47 
 
 53 
 
 60 
 
 67 
 
 75 
 
 61 
 
 62 : 
 
 
 
 
 2 
 
 3 
 
 5 
 
 7 
 
 9 
 
 12 
 
 i5 
 
 19 
 
 23 
 
 27 
 
 32 
 
 37 
 
 43 
 
 49 
 
 55 
 
 62 
 
 70 
 
 77 
 
 62 
 
 63 
 
 
 
 
 2 
 
 3 
 
 5 
 
 7 
 
 10 
 
 12 
 
 16 
 
 20 
 
 24 
 
 28 
 
 33 
 
 39 
 
 44 
 
 5i 
 
 57 
 
 64 
 
 72 
 
 80 
 
 63 
 
 64 
 
 
 
 
 2 
 
 3 
 
 5 
 
 7 
 
 10 
 
 i3 
 
 16 
 
 20 
 
 24 
 
 29 
 
 34 
 
 4o 
 
 46 
 
 52 
 
 59 
 
 67 
 
 75 
 
 83 
 
 64 
 
 65 
 
 
 
 
 2 
 
 3 
 
 5 
 
 7 
 
 10 
 
 i3 
 
 17 
 
 21 
 
 25 
 
 3o 
 
 36 
 
 4i 
 
 48 
 
 54 
 
 62 
 
 69 
 
 78 
 
 86 
 
 65 
 
 66 
 
 
 
 
 2 
 
 3 
 
 5 
 
 8 
 
 II 
 
 i4 
 
 18 
 
 22 
 
 26 
 
 32 
 
 37 
 
 43 
 
 5o 
 
 57 
 
 64 
 
 72 
 
 81 
 
 90 
 
 66 
 
 67 
 
 
 
 
 2 
 
 4 
 
 6 
 
 8 
 
 II 
 
 i4 
 
 18 
 
 23 
 
 28 
 
 33 
 
 39 
 
 45 
 
 52 
 
 59 
 
 67 
 
 76 
 
 85 
 
 94 
 
 67 
 
 68 
 
 
 
 
 2 
 
 4 
 
 6 
 
 8 
 
 12 
 
 i5 
 
 19 
 
 24 
 
 29 
 
 34 
 
 4o 
 
 47 
 
 54 
 
 62 
 
 70 
 
 79 
 
 89 
 
 99 
 
 68 
 
 69 
 
 
 
 
 2 
 
 4 
 
 6 
 
 9 
 
 12 
 
 16 
 
 20 
 
 25 
 
 3o 
 
 36 
 
 42 
 
 49 
 
 57 
 
 65 
 
 74 
 
 83 
 
 93 
 
 io4 
 
 69 
 
 70 
 
 
 
 
 2 
 
 4 
 
 6 
 
 9 
 
 i3 
 
 16 
 
 21 
 
 26 
 
 32 
 
 38 
 
 44 
 
 52 
 
 60 
 
 68 
 
 78 
 
 88 
 
 98 
 
 no 
 
 70 
 
 71 
 
 
 
 
 2 
 
 4 
 
 7 
 
 10 
 
 i3 
 
 17 
 
 22 27 
 
 33 
 
 40 
 
 47 
 
 55 
 
 63 
 
 72 
 
 82 
 
 93 
 
 io4 
 
 116 
 
 7' 
 
 72 
 
 
 
 
 2 
 
 5 
 
 7 
 
 ro 
 
 i3 
 
 18 
 
 23 29 
 
 35 
 
 42 
 
 49 
 
 58 
 
 67 
 
 76 
 
 87 
 
 98 
 
 III 
 
 124 
 
 72 
 
204 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. 
 
 I .0025 
 
 I .oo5o 
 
 I .0075 
 1 .0100 
 
 I .0123 
 
 I .oi5o 
 I .0175 
 0200 
 
 0225 
 
 o25o 
 0276 
 I .o3oo 
 I .0825 
 I .o35o 
 I .0375 
 I .o4oo 
 
 Logarithm. 
 
 .00108 
 .00216 
 .oo324 
 .00432 
 .00539 
 .00646 
 .00753 
 .00860 
 .00966 
 .01072 
 .01178 
 .01283 
 .01389 
 
 .01494 
 .01598 
 .01703 
 
 438i3 
 60618 
 5o548 
 13738 
 5o3i9 
 60422 
 
 44179 
 01718 
 33167 
 38654 
 i83o5 
 72247 
 oo6o3 
 03498 
 8io54 
 33393 
 
 Number. 
 
 I .0425 
 I .o45o 
 I .0475 
 I .o5oo 
 I .o525 
 I .o55o 
 I .0575 
 1 .0600 
 I .0625 
 I .o65o 
 I 
 I 
 I 
 I 
 I 
 I 
 
 .0675 
 .0700 
 .0725 
 .0750 
 .0775 
 .0800 
 
 Logarithm. 
 
 ,01807 
 .01911 
 .020l5 
 ,02118 
 .02222 
 
 .02325 
 
 .02428 
 .0253o 
 
 .02632 
 
 .02734 
 .02836 
 .02938 
 .o3o39 
 .o3i4o 
 .o324i 
 .03342 
 
 6o636 
 62904 
 4o3i6 
 92991 
 21045 
 24596 
 08760 
 58653 
 89887 
 96078 
 78887 
 37777 
 78009 
 84643 
 72788 
 87555 
 
 NmiBERS OFTEN USED IN CALCULATIONS. 
 
 Circumference of a circle to diameter i ^ 
 
 Surface of a sphere to diameter i > ...= 8.1415926 
 
 Area of a circle to radius i ; 
 
 Area of a circle to diameter i = .7858982 
 
 Capacity of a sphere to diameter i = .5285988 
 
 Capacity of sphere to radius i = 4- 1887902 
 
 1-^3.1416926 = 0.8188099 
 
 Arc equal to radius expressed in degrees ==57°, 2967795 
 
 Arc equal to radius expressed in seconds ^ 206264". 8 
 
 Length of i degree in parts of radius = .0174588 
 
 Length of i minute in parts of radius = .0002909 
 
 Sine of i second =: .ooooo485 
 
 Sine of 2 seconds = .00000970 
 
 Sine of 3 seconds = .ooooi454 
 
 Sine of 4 seconds = .00001989 
 
 Sine of 5 seconds = .00002424 
 
 Sine of 6 seconds = .00002909 
 
 Sine of 7 seconds = .00008394 
 
 Sine of 8 seconds z= .00008879 
 
 Sine of 9 seconds ^= .oooo4363 
 
 Base of Napier's system of logarithms = 2.7182818 
 
 Modulus of the common logarithms = .4342945 
 
 860 degrees expressed in seconds =: 1296000 
 
 24 hours expressed in seconds = 864oo 
 
 Number of feet in one mile = 6280 
 
 Logarithms. 
 0.497160 
 
 9.896090 
 9.718999 
 0.622089 
 9.602860 
 I .768128 
 
 5 .814426 
 8.241877 
 6.468726 
 4.685576 
 986606 
 162696 
 287686 
 884545 
 6.468726 
 6.680673 
 5.688666 
 6.689817 
 0.434294 
 687784 
 1 12606 
 986614 
 722634 
 
 THE END. 
 
r